What is the circumference of the following circle?
Use 3.14 for

πpi and enter your answer as a decimal.

Answers

Answer 1

The circumference of the given circle is 37.68 centimeters, which is found by using the formula C = 2πr, where r is the radius of the circle and π (pi) is approximately equal to 3.14.

The circumference of a circle is the distance around the edge of the circle. It is given by the formula C = 2πr, where r is the radius of the circle and π (pi) is a mathematical constant approximately equal to 3.14.

To find the circumference of a circle, we use the formula C = 2πr, where r is the radius of the circle.

In the given image, the diameter of the circle is labeled as 12 centimeters. The radius of the circle is half of the diameter, so we can find the radius by dividing the diameter by 2:

radius = diameter/2 = 12/2 = 6 cm

Now, we can substitute the value of the radius into the formula for the circumference:

C = 2πr = 2 * 3.14 * 6 = 37.68 cm

Therefore, the circumference of the circle is 37.68 centimeters.

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Answer 2

Answer: 12.56cm

Step-by-step explanation:

What Is The Circumference Of The Following Circle?Use 3.14 For Pi And Enter Your Answer As A Decimal.

Related Questions

what is 3 5/10 simplifield

please answer

Answers

Answer: 3/2

Step-by-step explanation:

PICTURES PROVIDED! PLEASE HELP!
I. Fill in the table below. You may want to go back and read the beginning for ideas. (And yes, if you like the way it smells when it bakes, that’s an advantage.) Put down any point you can think of.
J. Decision Time! Tell whether or not you have decided to buy the bread machine. Give several reasons for your decision.

Answers

The value of x is 24/7, by setting up and solving a proportion based on the fact that the two triangles in the figure are similar.

To find the value of x, we need to use the fact that the two triangles in the figure are similar. This means that the corresponding angles are equal, and the corresponding sides are in proportion.

We can see that the angle marked y is the same in both triangles. Therefore, we can set up the following proportion:

x / 8 = 12 / (12 + 16)

Simplifying the right-hand side, we get:

x / 8 = 12 / 28

Multiplying both sides by 8, we get:

x = 8 × (12 / 28)

Simplifying the right-hand side, we get:

x = 96 / 28

Dividing both the numerator and denominator by their greatest common factor, which is 4, we get:

x = 24 / 7

Therefore, the value of x is 24/7.

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I need help from 6-12 pls help me I am really desperate!

Answers

Answer:

6. 180= (90+30)/5              x=12

7. 180= (33+29)/2               x=31

8. 180= (132+21)/3             x=51

9. 180= 4x                           x=45

10.180= (x-2)+x+72             x=55

11.180= 20x                         x=9

12.180= (3.5x+2.5x)+90     x=15

1. Julia's goal is to run faster than two of her friends in an upcoming
6.2-mile race. The table shows the results of the last race that each
runner finished. Assume they each run the race at the same rate
they ran their last race. Complete the table. Who will finish first
among the three friends, and by how much time will she beat the
second-place finisher?
Runner
Julia
Hazel
Mekena
Last Race
Distance
(mi)
8
5
6
Last Race
Time
(min: sec)
62:00
39:10
46:00
Rate
(min:sec
per mi)
Time for
6.2 Miles
(min: sec)

Answers

It was a good choice to ask Toni to join the team as she would be able to contribute to the team's success in the race.

What is the ratio and proportion ?

A ratio is an ordered pair of numbers a and b, written a / b where b does not equal 0. A proportion is an equation in which two ratios are set equal to each other. For example, if there is 1 boy and 3 girls you could write the ratio as 1 : 3 (for every one boy there are 3 girls).

To complete the 1-mile relay race in 4:34, each runner must run their quarter-mile leg of the race in a total time of 1:08 (68 seconds).

We can use this information to fill in the missing information in the table:

Runner Rate(min:sec per mi) Time for 1/4mile (min:sec)

Julia 4:40 1:10

Hazel 4:48 1:12

Mekena 4:32 1:08

Toni 4:18 1:04

Based on the table, Toni's rate is faster than the other runners, and her time for a quarter-mile leg of the race is also faster.

Therefore, it was a good choice to ask Toni to join the team as she would be able to contribute to the team's success in the race.

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4. If Angle A is obtuse, when we calculate sin A = 0.607103 the answer is an acute angle.

a) Why is the angle acute and not obtuse?

b) How do we calculate the obtuse angle?

Answers

A must be an acute angle that is less than π/2. The obtuse angle A is approximately 2.533 radians or 145.38 degrees.

What is an angle?

An angle is the figure formed by two rays, called the sides of the angle, that share a common endpoint, called the vertex of the angle. The angle is typically measured in degrees or radians, and it represents the amount of rotation between the two rays.

According to question:

a) When we calculate the sine of an angle, the result is always between -1 and 1. If sin A = 0.607103, then A must be between arcsin(0.607103) and π - arcsin(0.607103), since sine is positive in the first and second quadrants.

Since A is obtuse, it must be in the second quadrant (where sine is positive), but it cannot be larger than π/2 (which is a right angle) since that would make it acute. Therefore, A must be an acute angle that is less than π/2.

b) To calculate the obtuse angle that has a sine of 0.607103, we need to use the inverse sine function (arcsin) and the fact that sine is negative in the third and fourth quadrants. We can write:

sin A = 0.607103

A = arcsin(0.607103) or π - arcsin(0.607103)

Since we want the obtuse angle, we choose the larger of the two solutions:

A = π - arcsin(0.607103)

A = 2.533 radians (rounded to three decimal places)

Therefore, the obtuse angle A is approximately 2.533 radians or 145.38 degrees.

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Why are infrared rays an example of transverse waves?

A) Particles in the medium move in circular motions.
B) Particles in the medium vibrate back and forth.
C)Particles in the medium vibrate up and down at right angles.
D)Particles in the medium travel forward with the wave.

Answers

Answer:

c.

Step-by-step explanation:

Particles in the medium vibrate up and down at right angles.

pls mrk me brainliest i need to get the next rank

Help me!

“Average cost of a dozen oranges was $1.72 in October 2020 and $5.59 in October 2021. What is the percent increase in the average cost of a dozen oranges from October 2020 to 2021?”

Answers

Answer:

The percent increase in the average cost of a dozen oranges from October 2020 to October 2021 is approximately 225%.

Step-by-step explanation:

To find the percent increase in the average cost of a dozen oranges from October 2020 to 2021, we need to first calculate the difference in the average cost and then divide it by the original average cost, and finally multiply by 100 to get the percentage increase.

The difference in the average cost of a dozen oranges between October 2020 and October 2021 is:

$5.59 - $1.72 = $3.87

To calculate the percent increase, we need to divide the difference by the original average cost and multiply by 100:

Percent increase = (difference/original average cost) x 100

Percent increase = ($3.87/$1.72) x 100

Percent increase = 224.41%

Therefore, the percent increase in the average cost of a dozen oranges from October 2020 to October 2021 is approximately 224.41%.

Step by step (for more help understanding):

The problem states that the average cost of a dozen oranges was $1.72 in October 2020 and $5.59 in October 2021. We need to find the percent increase in the average cost from October 2020 to October 2021.

Step 1: Find the difference in the average cost

To find the difference in the average cost, we subtract the original average cost from the new average cost.

$5.59 - $1.72 = $3.87

This means that the average cost of a dozen oranges increased by $3.87 from October 2020 to October 2021.

Step 2: Find the ratio of the difference to the original cost

To find the percentage increase, we need to express the difference as a percentage of the original cost. We do this by dividing the difference by the original cost.

$3.87 / $1.72 = 2.25

This means that the new average cost is 2.25 times the original average cost.

Step 3: Convert the ratio to a percentage

To convert the ratio to a percentage, we multiply it by 100.

2.25 x 100 = 225%

Step 4: Round the percentage to one or two decimal places

Finally, we round the percentage to one or two decimal places, depending on the level of accuracy required.

The percent increase in the average cost of a dozen oranges from October 2020 to October 2021 is approximately 225%.

Hope this helps, If not I'm sorry. If you need more help, ask me! :]

Question 1 (1 point)
If you are buying a house for $235,000, how much is a 19% down payment?
Enter your answers using this format: 99,999.99
Your Answer:

Answers

Answer:

44,650

Step-by-step explanation:

To calculate the 19% down payment on a house priced at $235,000, you can use the formula:

Down Payment = Purchase Price x Down Payment Percentage

where Down Payment Percentage is the percentage of the purchase price that you will be paying as a down payment.

In this case, the down payment percentage is 19%, or 0.19 as a decimal. So:

Down Payment = $235,000 x 0.19

Down Payment = $44,650

solve all for reward and show work
pls help
(r÷1.2)+7.5=45

26=n/6.4+4.3

(b÷2.8)+83=39

y/0.25+12=77

0.89=w/7.9-(-0.14)

z/3.6-0.65=-0.15

Answers

ok so the answer 77 because if u find

Evaluate the expression c+d
when [tex]c = \frac{2}{3} and d = \frac{1}{5}[/tex]

Answers

The value of the expression addition of c and d, when c = 2/3 and d = 1/5, is 13/15.

To evaluate the expression c + d, we simply substitute the given values of c and d into the expression:

c + d = (2/3) + (1/5)

We need to find a common denominator to add the two fractions:

(2/3) + (1/5) = (10/15) + (3/15)

Now we can add the two fractions:

(10/15) + (3/15) = 13/15

Therefore, c + d = 13/15.

To add two fractions together, you need to follow these steps:

Step 1: Find a common denominator

Find a common denominator for the two fractions. The common denominator is a number that both denominators can divide into evenly. To find a common denominator, you can multiply the two denominators together, or you can find the lowest common multiple (LCM) of the denominators.

Step 2: Convert the fractions to have the common denominator

Convert both fractions so that they have the common denominator. To do this, multiply the numerator and denominator of each fraction by the same factor that will make the denominator equal to the common denominator.

Step 3: Add the numerators

Add the numerators of the two fractions together. When the fractions have the same denominator, you can add the numerators together and keep the denominator the same.

Step 4: Simplify the fraction

Simplify the resulting fraction by dividing both the numerator and denominator by their greatest common factor. Here we'll find final answer.

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Find a function that is finally graphed after the following transformations are applied to the graph of Y equals square root X in the order listed. Shift up seven units, reflect about the x axis, reflect about Y axis

Answers

After performing the listed transformations together, the final function will be:

[tex]y=-(\sqrt{(-x)}) -7[/tex]

Starting with the given function is  [tex]y=\sqrt{x}[/tex] and applying the listed transformations. First we need to shift the function up by seven units, this can be done by adding 7 to the function, giving y = √x + 7.

Then we need to reflect the function about x-axis, t-his can be done by multiplying the function by -1, giving [tex]y= -\sqrt{x} -7[/tex].

Then we finally need to reflect the function about y-axis, this can be done by replacing x with -x in the function, giving [tex]y= -(\sqrt{(-x)})-7[/tex].

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Which choices are equivalent to the quotient below? Check all that apply.1899​ 18

Answers

Step-by-step explanation:

Option F is correct. it equals to root 2

Are the test scores significantly lower for the participants who received anxiety-inducing statements? Use a two-tailed test with α = .05.

Answers

The sοlutiοn οf the given prοblem οf test statistic cοmes οut tο be significantly lοwer fοr participants whο heard anxiety-inducing statements.

Test statistics: what are they?

The Z-statistic, which cοnfirms the precisiοn οf the cοnventiοnal null hypοthesis, has been the test number fοr the οnly analytical that apprοaches a Z-test. Cοnsider estimating a 2.5 E s frοm results οf a 2 X y quiz with a degree οf significance οf 0.05. The p-value fοr this Z-value is 0.0124.

Here,

We wοuld need tο run a hypοthesis test tο see if the exam results are significantly lοwer fοr the participants whο heard anxiοus statements.

The methοds fοr perfοrming a twο-tailed test with =.05 are as fοllοws:

Give the alternative hypοthesis (Ha) and the null hypοthesis (H0):

=> H0: Test results fοr participants whο heard anxiety-inducing statements versus thοse whο didn't shοw nο appreciable change.

=> Ha: Participants whο heard anxiοus statements perfοrmed significantly wοrse οn the tests.

Select a reliable statistical measure. The right test will vary depending οn the data type and research design. We cοuld use a t-test fοr independent grοups, fοr instance, if the data is cοntinuοus and nοrmally distributed.

Cοmpute the test result and p-value after gathering the data.

A twο-tailed test with =.05. Therefοre, we are unable tο establish whether the test results are significantly lοwer fοr participants whο heard anxiety-inducing statements.

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Complete question:

A particle moves along the x-axis so that at time
t (in seconds), the position of the particle is defined by x(t)=(2/3)(t^3)-3t^2+4t centimeters.

a) during 0≤t≤4 seconds, what time interval(s) is the particle moving right? Justify your answer.

b) what's the particle's maximum velocity on the interval 0≤t≤4 seconds and what time does it occur? Justify your answer.

c) What's the particle's maximum acceleration on the interval 0≤t≤4 seconds and what time does it occur? justify your answer.

d) During 0≤t≤4 seconds, what time interval(s) is the particle speeding up? Justify your answer.

PLEASE show your steps on paper and if possible give explanations on how you came to solve each question.

Answers

Answer: a) To determine when the particle is moving right, we need to find when its velocity is positive. The velocity of the particle is given by the derivative of its position function:

v(t) = 2t^2 - 6t + 4

We can factor this quadratic expression to get:

v(t) = 2(t - 1)(t - 2)

So the velocity is positive for t > 2 and t < 1. Therefore, the particle is moving right during the time interval 1 < t < 2.

b) The velocity function v(t) found in part (a) is a quadratic function with a negative leading coefficient, which means that it is maximized at its vertex. The vertex of the quadratic function is given by:

t = -b / (2a)

where a = 2, b = -6. Plugging in these values, we get:

t = -(-6) / (2 * 2) = 1.5

Therefore, the maximum velocity occurs at t = 1.5 seconds. To find the maximum velocity, we can plug this value of t into the velocity function:

v(1.5) = 2(1.5)^2 - 6(1.5) + 4 = -1

So the maximum velocity is -1 cm/s.

c) The acceleration of the particle is given by the derivative of its velocity function:

a(t) = 4t - 6

This is a linear function with a positive slope, which means that the acceleration is constant and increasing. The maximum acceleration occurs at t = 4 seconds, and its value is:

a(4) = 4(4) - 6 = 10

So the maximum acceleration is 10 cm/s^2.

d) The particle is speeding up when its acceleration is positive. From part (c), we know that the acceleration is positive for all t in the interval 0 ≤ t ≤ 4, so the particle is speeding up during this entire time interval.

Step-by-step explanation:

I’m really stuck on this question

Answers

Answer: Point C

Step-by-step explanation:

Kyle is planning what to wear tomorrow evening. He has 4 shirts to choose from: red, blue, white, and green.
2 pair of pants to choose from: blue jeans and khaki pants.
2 pairs of shoes to choose from: sneakers and boots.

Kyle randomly chooses one item from each group. What is the probability that he chooses?

Answers

Kyle's likelihood of selecting red blouse, blue pants, and trainers is 1/16.

What are the basics of probability?

Simply put, probability is the likelihood that something will occur. When we don't know how an occurrence will turn out, we can discuss the likelihood or likelihood of various events. Statistics is the study of occurrences that follow a chance distribution.

To find the probability of Kyle choosing a specific combination of clothing items, we need to multiply the probabilities of each choice together.

The total number of possible combinations of clothing items is:

4 shirts × 2 pants × 2 shoes = 16 possible combinations

To find the probability of Kyle choosing a red shirt, blue jeans, and sneakers, we need to calculate the probability of each choice and multiply them together:

Probability of choosing a red shirt = 1/4

Probability of choosing blue jeans = 1/2

Probability of choosing sneakers = 1/2

Probability of choosing red shirt, blue jeans, and sneakers = (1/4) × (1/2) × (1/2) = 1/16

Therefore, the probability of Kyle choosing a red shirt, blue jeans, and sneakers is 1/16

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Help asap! Am=6 MB=4 AN=8

Answers

Answer:

AC = 13.3

Make proportional relationship:

[tex]\dfrac{\text{AB}}{\text{AC}} =\dfrac{\text{AM}}{\text{AN}}[/tex]

Insert values

[tex]\rightarrow\dfrac{10}{\text{AC}} =\dfrac{6}{8}[/tex]

Cross multiply

[tex]\rightarrow \text{AC}=\dfrac{10(8)}{6}[/tex]

Simplify

[tex]\rightarrow \text{AC}=13.3[/tex]

Over an 80-day period, the number of leatherback sea turtle eggs on the two beaches can be modeled by A(x)=-0.25x^2+20x and B(x)=-0.19x^2+15.2x where x is the number of days.

Find (A+B)(x) and (A-B)(x)

Evaluate each expression when x=5

What is the meaning of (A-B)(x)?

Find the vertices and the intercepts of both.

Find where both are increasing and decreasing.

Answers

The sum (A+B)(x) and difference (A-B)(x) of two quadratic functions A(x) and B(x) were found, along with their values for x=5, vertices, intercepts, and where they are increasing/decreasing.

To find (A+B)(x), we simply add the two functions:

(A+B)(x) = A(x) + B(x) = ([tex]-0.25x^2+20x[/tex]) + ([tex]-0.19x^2+15.2x[/tex]) = [tex]-0.44x^2[/tex] + 35.2x

To find (A-B)(x), we simply subtract B(x) from A(x):

(A-B)(x) = A(x) - B(x) = ([tex]-0.25x^2+20x[/tex]) - ([tex]-0.19x^2+15.2x[/tex]) = [tex]-0.06x^2[/tex] + 4.8x

When x=5, we can evaluate each expression:

(A+B)(5) = [tex]-0.44(5)^2[/tex] + 35.2(5) = 60

(A-B)(5) = [tex]-0.06(5)^2[/tex] + 4.8(5) = 12

To find the vertices and intercepts of the functions A(x) and B(x), we can use the vertex and intercept formulas for quadratic functions:

For A(x):

Vertex = (-b/2a, f(-b/2a)) = (-20/-0.5, A(20/-0.5)) = (40, 400)

x-intercepts: 0 = [tex]-0.25x^2[/tex] + 20x, so x = 0 or x = 80

y-intercept: A(0) = 0

For B(x):

Vertex = (-b/2a, f(-b/2a)) = (-15.2/-0.38, B(15.2/-0.38)) = (40, 304)

x-intercepts: 0 = [tex]-0.19x^2[/tex] + 15.2x, so x = 0 or x = 80

y-intercept: B(0) = 0

Both functions are decreasing for x < 40, and increasing for x > 40. The vertex (40, 400) is the maximum point for A(x), and the vertex (40, 304) is the maximum point for B(x).

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The volume of the right cone below is 2767 units³. Find the value of x.

Answers

The value of x is approximately 49.4 units.

What is volume ?

Volume is a measure of the amount of space occupied by a three-dimensional object. It is typically expressed in cubic units such as cubic meters, cubic centimeters, or cubic feet. Volume is a fundamental concept in mathematics and physics, and it is an important property for describing the size, capacity, or amount of material contained within an object.

Let's start by defining some variables:

r: radius of the cone

h: height of the cone

V: volume of the cone

A right cone has a circular base, and its volume can be calculated as follows:

V = (1/3) * π * r² * h

If the diameter of the base is 12 units, then the radius is half of that:

r = 6 units

We also know that the volume is 2767 units³, so we can write:

2767 = (1/3) * π * 6² * h

Simplifying:

h = (2767 * 3) / (π * 6²)

h ≈ 49.15 units

Now, we need to find the value of x. We can use the Pythagorean theorem to relate x, r, and h:

x² = r² + h²

Substituting the values we have:

x² = 6² + 49.15²

x ≈ 49.4 units

Therefore, the value of x is approximately 49.4 units.

In summary, we used the formula for the volume of a cone to relate the radius and height of the cone to its volume. Then, we used the Pythagorean theorem to relate the unknown value of x to the known values of r and h. Finally, we substituted the known values to find the approximate value of x.

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Your complete question is :-The volume of the right cone below is 2767 units³. Find the value of x if it's diameter is 12

TOPIC 3: Finding Possible Values of a Random Variable
A. Two cards are drawn from a deck. How many possible values can each of
the following variables take?
1. sum of the numbers on the cards ___________
2. number of times both cards are black ________
3. Number of times both cards are 7s ___________
4. Number of times the first card is six and the second card is red _____
5. Number of times the first card is face card and the second card is not
a face card

Answers

there are 19 possible values, there are 2 possible values, there are 3 possible values, there are 13 possible values.  the probability of getting a face card followed by a non-face card is much higher than the probability of getting a face card followed by another face card .

The sum of the numbers on the cards can take values from 2 (when both cards are Aces) to 20 (when both cards are Kings). Therefore, there are 19 possible values.

The number of times both cards are black can take values from 0 (when both cards are red) to 1 (when both cards are black). Therefore, there are 2 possible values.

The number of times both cards are 7s can take values from 0 (when neither card is a 7) to 1 (when both cards are 7s). Therefore, there are 2 possible values.

The number of times the first card is six and the second card is red can take values from 0 (when the first card is not a six or the second card is not red) to 2 (when both cards are sixes and both are red). Therefore, there are 3 possible values.

The number of times the first card is a face card and the second card is not a face card can take values from 0 (when both cards are not face cards) to 12 (when the first card is a King and the second card is an Ace, two, three, four, five, six, seven, eight, nine, or ten). Therefore, there are 13 possible values.

It is important to note that these values are not equally likely. For example, the probability of getting a sum of 2 is much lower than the probability of getting a sum of 7, since there is only one way to get a sum of 2 (both cards are Aces) but there are several ways to get a sum of 7 (one card is a 4 and the other card is a 3, or one card is a 5 and the other card is a 2, or both cards are 7s). Similarly, the probability of getting a face card followed by a non-face card is much higher than the probability of getting a face card followed by another face card, since there are more non-face cards in the deck than face cards.

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Work out the equation of the line which has a gradient of 2 and passes through the point (-4,4)

Answers

Therefore , the solution of the given problem of equation comes out to be y = 2x + 12 is the equation for the line going through the point (-4,4) and having a gradient of 2.

What is an equation?

Complex algorithms frequently employ a variable term to guarantee agreement with the two opposing claims. Equations, which are mathematical statements, are used to demonstrate the equality of a number of academic figures. Instead of expression dividing 12 into two parts in this situation, the normalise technique provides b + 6 to use the data from y + 6 instead.

Here,

The point-slope version of the equation of a straight line can be used to determine the equation of the line passing through the point (-4,4) and having a gradient of 2:

=> y - y1 = m(x - x1) (x - x1)

where (x1, y1) is the given point, m is the gradient, and (x, y) are the coordinates of any other place on the line.

With our current numbers substituted, we obtain:

=>y - 4 = 2(x - (-4))

If we simplify, we get:

=> y - 4 = 2(x + 4)

=> y - 4 = 2x + 8

=> y = 2x + 12

Consequently, y = 2x + 12 is the equation for the line going through the point (-4,4) and having a gradient of 2.

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A scale measures with a 1.5% margin of error, which means that the measurement given by the scale may be up to 1.5% lower or higher than the actual weight of the object. If Colin uses this scale to weigh a suitcase and the scale reads 40 pounds, what is the range of possible actual weights for the suitcase?

Answers

The range of possible actual weights for the suitcase is approximately 39.4 to 41.2 pounds.

What is range?

Range refers to the set of all possible output values of a function. More specifically, the range of a function is the set of all values that the function can produce or output, given its domain.

According to question:

Let w be the actual weight of the suitcase in pounds. The 1.5% margin of error means that the weight measured by the scale could be off by up to 1.5% of the actual weight, which is 0.015w.

Therefore, the weight measured by the scale could be as low as w - 0.015w = 0.985w or as high as w + 0.015w = 1.015w.

If the scale reads 40 pounds, then we have:

        0.985w ≤ 40 ≤ 1.015w

Dividing both sides by 1.015, we get:

        0.970 ≤ w ≤ 41.237

Therefore, the range of possible actual weights for the suitcase is 0.970 times the weight displayed on the scale (which is 40 pounds) to 1.015 times the weight displayed on the scale, or approximately 39.4 to 41.2 pounds.

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You are saving for a car. You put $750 in an account that has an interest rate of 3% compounded semi-annually (twice a year).



When will you have enough for a $1500 car? Round to the nearest year.

Answer?

Answers

Step-by-step explanation:

Two periods (semi-annual) per year

 decimal  interest per period = i = .03/2 = .015

pv = present value = 750

fv = future value = 1500

fv = pv (1 + i ) ^2t      where t = years

1500 = 750 ( 1 + .015)^2t      <==== solve for t

2 = 1.015 ^(2t)

log 2 = 2t log (1.015)

t = 23 years

Sheldon needs to buy 3 gallons of ice cream for a family reunion. The table shows the prices for different sizes of two brands of ice cream.

Price of small size Price of large size
Cold Farms $2.50 for 1 pint $4.50 for 1 quart
Sweet Dreams $4.75 for 1 quart $10.50 for 1 gallon


Which size container of Cold Farm ice cream is the better deal for Sheldon? Complete the explanation to justify your answer.

24 pints of Cold Farm ice cream cost $
, and 12 quarts of Cold Farm ice cream cost $
. The
(select)
size container is the better deal for Sheldon.

Answers

To determine the better deal for Sheldon, we need to compare the cost per gallon of the different container sizes for Cold Farm ice cream.

One gallon is equal to 4 quarts, or 8 pints. Therefore, we can calculate the cost of 3 gallons of Cold Farm ice cream as follows:

3 gallons = 12 quarts

3 gallons = 24 pints

Now, let's calculate the cost of buying 24 pints of Cold Farm ice cream:

$2.50 per pint x 24 pints = $60

And the cost of buying 12 quarts of Cold Farm ice cream:

$4.50 per quart x 12 quarts = $54

Comparing the two, we can see that buying 12 quarts of Cold Farm ice cream is the better deal for Sheldon, as it will cost him $54, compared to $60 for 24 pints.

Therefore, the quart size container is the better deal for Sheldon.

Question 2 State which of the following sets are finite, infinite or null: (1 mark each) a) {1,3,5,7,9, ... ... ... . } = b){3,6,9,12} = c) {odd numbers which can be divided exactly by 2}=​

Answers

Answer:

a) Infinite. b) finite. c) null

Step-by-step explanation:

a) This set is an Infinite set since the list of elements of the set continue to grow and never end as depicted by the dots, thus making it neverending.

b) This set is finite due to the fact that all elements are included inside the curly brackets.

c) This is a null set, or an empty set, because the set has no elements due to the fact that there are no odd numbers that are divisible by 2.

I really need help with this assimilation look at the picture geo

Answers

Rounded to the nearest hundred, the perimeter is approximately [tex]20 + 2\sqrt{5} = 29.2[/tex] units, so the answer is 2900 feet.

What is perimeter?

Perimeter is the distance around a two-dimensional shape. It is the sum of the lengths of all the sides of the shape.

To find the perimeter of the pentagon, we need to find the distance between each pair of adjacent vertices and add them together.

We can use the distance formula to find the distance between two points (x1, y1) and (x2, y2):

[tex]d = \sqrt{ ((x2 - x1)^2 + (y2 - y1)^2)}[/tex]

Using this formula, we can find the distances between the five pairs of adjacent vertices:

Distance between (0, 0) and (5, 0):

[tex]d1 = \sqrt{((5 - 0)^2 + (0 - 0)^2)} = 5[/tex]

Distance between (5, 0) and (8, 4):

[tex]d2 = \sqrt{((8 - 5)^2 + (4 - 0)^2)} = \sqrt{(9 + 16)} = 5[/tex]

Distance between (8, 4) and (4, 7):

[tex]d3 = \sqrt{((4 - 8)^2 + (7 - 4)^2) } = \sqrt{ (16 + 9)} = 5[/tex]

Distance between (4, 7) and (0, 5):

[tex]d4 = \sqrt{ ((0 - 4)^2 + (5 - 7)^2)} = \sqrt{(16 + 4)} = 2\sqrt{5}[/tex]

Distance between (0, 5) and (0, 0):

[tex]d5 = \sqrt{((0 - 0)^2 + (0 - 5)^2)} = 5[/tex]

Now we can add these distances together to find the perimeter:

perimeter = d1 + d2 + d3 + d4 + d5

perimeter = 5 + 5 + 5 + [tex]$2\sqrt{5}$[/tex] + 5

perimeter = 20 + [tex]$2\sqrt{5}$[/tex]

Rounded to the nearest hundred, the perimeter is approximately [tex]20 + 2\sqrt{5} = 29.2[/tex] units, so the answer is 2900 feet.

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An object is launched directly in the air at a speed of 56 feet per second from a platform located 16 feet above the ground The position of the object can be modeled using the function f(t)=−16t2+56t+16, where t is the time in seconds and f(t) is the height, in feet, of the object. What is the maximum height, in feet, that the object will reach?

Answers

The time for the object to reach maximum height is 1.75 feet.

What is the quadratic equation?

The solutions to the quadratic equation are the values of the unknown variable x, which satisfy the equation. These solutions are called roots or zeros of quadratic equations. The roots of any polynomial are the solutions for the given equation.

The given equation of the object's motion;

f(t) = -16t² + 56t + 16

The time for the object to reach maximum height will occur when the final velocity will be zero.

Velocity is defined as the change in displacement per change in time of motion.

f' = -32t  + 56

When the object reaches maximum height, f' = 0

0 = -32t + 56

32t = 56

t = 56/32

t = 1.75 feet

Thus, the time for the object to reach maximum height is 1.75 feet.

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Micaela is decorating the outside of a box in the shape of a triangular pyramid. The figure below shows a net for the box. 8 in 6.93 in If all the triangles are equilateral, what is the surface area of the box, in square inches, that Micaela decorates?

Answers

Micaela will decorate 86.4 square inches of the box's surface area. To find the surface area of the box, we need to calculate the area of each of its faces and then add them up.

The box is in the shape of a triangular pyramid, so it has four faces, each of which is an equilateral triangle.

To find the area of an equilateral triangle, we need to know its side length. Looking at the net, we see that each of the triangular faces has a base of 8 inches and two equal sides of 6.93 inches.

To find the height of each triangle, we can use the Pythagorean theorem. The height is the square root of the difference between the length of the base and half the length of one of the sides, squared, and the length of one of the sides, squared.

[tex]height = sqrt(6.93^2 - (8/2)^2) = sqrt(29.13) ≈ 5.4 in[/tex]

Now we can find the area of one of the triangles using the formula:

area = (1/2) * base * height

area = (1/2) * 8 in * 5.4 in ≈ [tex]21.6 in^2\\[/tex]

Since there are four triangles, the total surface area of the box is:

total surface area = [tex]4 * 21.6 in^2 = 86.4 in^2[/tex]

Therefore, Micaela will decorate 86.4 square inches of the box's surface area.

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Triangle ABC is shown. Use the graph to answer the question. triangle ABC on a coordinate plane with vertices at 1 comma negative 2, 9 comma negative 2, 5 comma 2 Determine the coordinates of the image if triangle ABC is translated 6 units down. A′(−5, −2), B′(3, −2), C′(−1, 2) A′(1, 4), B′(9, 4), C′(5, 8) A′(1, −8), B′(9, −8), C′(5, −4) A′(7, −2), B′(15, −2), C′(11, 2)

Answers

As result answering the given question, we may state that coordinates  Therefore, the answer is option C: A′(1, −8), B′(9, −8), C′(5, −4).

what are coordinate ?

A coordinate in mathematics is a number or combination of integers that indicates the position of a point or object in space. Coordinates are often used to define the position of a point or object in a certain coordinate system, such as the Cartesian or polar coordinate systems. A point, for example, is located in the Cartesian coordinate system by its distance from the origin along the x-axis and its distance from the origin along the y-axis. These distances are denoted by two numbers, the x-coordinate and the y-coordinate, respectively. The two coordinates specify the point's position in the plane.

original vertices are:

A (1, -2)

B (9, -2)

C (5, 2)

new vertices will be:

A' (1, -2 - 6) = (1, -8)

B' (9, -2 - 6) = (9, -8)

C' (5, 2 - 6) = (5, -4)

Therefore, the answer is option C: A′(1, −8), B′(9, −8), C′(5, −4).

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A state park charges $80 per vehicle just to enter the park, and $18 for each person in the car.
help me yall

Answers

So, the entire cost to enter the park, in addition to an initial $80 base fee, depends on how many people are travelling in the car.

What is an illustration of an initial value?

If, for instance, we have the mathematical problem y′=2x y ′ = 2 x, then y(3)=7 y (3) = 7 is an initial value, so when these equations are combined, they create an initial-value problem.

The total cost of accessing the park for just a car with x individuals may be estimated using the method below, assuming that each person in the car is charged the same amount:

Total cost = $80 + $18(x-1)

Here, the car's driver, who is already accounted for in the base charge of $80, is taken into account using the formula (x-1).

For instance, the total fee to enter to park for a car carrying four passengers would be:

Total cost = $80 + $18(4-1) = $80 + $54 = $134

The whole price to enter to park in a car only with two passengers would be:

Total cost = $80 + $18(2-1) = $80 + $18 = $98

So, in addition to a $80 base fee, the total price to enter the park is dependent on the number of passengers in the vehicle.

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Complete  Question:

A state park charges an entrance fee based on the number of people in a vehicle. A car containing 2 people is charged$14, a car containing 4 people is charged$20, and a van containing 8 people is charged$32.

1. How much do you think a bus containing 30 people would be charged?

2. If a bus is charged$122, how many people do you think it contains?

3.What rule do you think the state park uses to decide the entrance fee for a vehicle?

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