Mathematics College

pls answer
woth 20 points!!

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Answer 1

The circumference of the given circle is 22.26 meters.

How to find the circumference of the circle?

For a circle of diameter D, the circumference is defined by the following formula:

C = pi*D

Where pi = 3.14

Here we know taht the diameter is 7.09 meters, then we can input that in the formula above to get:

C = 3.14*7.09 m

C = 22.2626 m

Rounding to 2 decimals, we will get:

C = 22.26 meters.

That is the circumference of the circle.

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Related Questions

Ralph spends $5.25 on corn seed packets. Each packet contains 25 seeds and costs $1.75. Ralph plans to plant 5 rows of corn with the same number of seeds in each row. What is the greatest number of seeds that Ralph can plant in each row?

Answers

Ralph spends $5.25 on corn seed packets and each packet costs $1.75, we know that he buys 3 packets of seeds (5.25 / 1.75 = 3).

Since each packet contains 25 seeds, Ralph has a total of 3 x 25 = 75 seeds.

To find the greatest number of seeds that Ralph can plant in each row, we need to divide the total number of seeds by the number of rows:

75 seeds / 5 rows = 15 seeds per row

Therefore, Ralph can plant a maximum of 15 seeds in each row.

Question is in photo below

Answers

Answer:

$65 × 20 × 1.035 = $1,345.50

Answer:

67.275

Step-by-step explanation:

find 3.25% of 65

than add the answer to 65

There are 7 similarly shaped figures in a set. The largest figure is 7 inches tall. Each of the other figures is 1 inch shorter than the next larger figure. The surface area of the largest figure is 637 in.2. What is the surface area of the middle-sized figure?

Answers

The surface area of the middle-sized figure whose largest figure is 7 inches tall is 208 in².

The length of the largest figure is 7 in

Each of the other figures is 1 inch shorter than the next larger figure.

The length of the smallest figure will be 1 in

The scale factor of the smallest figure is 1/7

Similarly,

The length of the figure in the middle will be 4 in

The scale factor of the smallest figure is 4/7

So the surface area of the middle-sized figure = 637 ×4/7 ×4/7×

The surface area of the middle-sized figure = 208 in²

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Melissa is able to decorate 2 cakes per hour. If she works 5 hours per day and 6 days a week, how many cakes could she decorate in 4 weeks?

Answers

Answer:

240

Step-by-step explanation:

Melissa can decorate 2 cakes per hour.

If she were to work 5 hours a day, that'd be 10 cakes, because she can decorate 2 per hour, so 2*5=10. Now take the 10 cakes and multiply it by the 6 days- You're up to 60 cakes per week. Lastly, take the 60 cakes per week and multiply *that* by 4. 60*4=240 cakes in four weeks.

Melissa is able to decorate 2 cakes per hour, so in one day of 5 hours, she can decorate:

2 cakes/hour * 5 hours/day = 10 cakes/day

If she works for 6 days a week, then she can decorate:

10 cakes/day * 6 days/week = 60 cakes/week

Therefore, in 4 weeks, she can decorate:

60 cakes/week * 4 weeks = 240 cakes

Melissa can decorate 240 cakes in 4 weeks if she works 5 hours per day and 6 days a week.

which statement about the quotient of 425.378 / 10 the power of 3 is true?
A. the decimal point is located to the left of the 4
B. the decimal point is located to the right of the 8
C. The decimal point is located between the 3 and the 7
D. The decimal point is located between the 4 and the 2

Answers

To find the quotient of 425.378 divided by 10 to the power of 3, we need to move the decimal point of 425.378 three places to the left (since 10 to the power of 3 is 1000).

So, 425.378 divided by 1000 is equal to 0.425378.

The decimal point in the quotient is located between the 4 and the 2, so the correct answer is (D) "The decimal point is located between the 4 and the 2."

PLS HELP 20 points !!!

Answers

For the expression (3w²)/(w⁴) the simplified-value is 3/w², the correct option is (c).

The "Simplified-Expression" refers to an algebraic expression that has been reduced to its most basic and concise form, without changing the value of the expression.

The simplified expression is the most reduced-form, and it has the same value as the original expression.

We have to simplify the expression (3w²)/(w⁴),

We can rewrite w⁴ as (w²)², which means that we can cancel one of the w² terms in the numerator and denominator.

This gives us : (3w²)/(w⁴) = (3/1) × (w²/(w²)²) = 3/w²

Therefore, the simplified value of is (c) 3/w².

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Question 3 (1 point)
Julie drives by a stop light near her home once every morning. The stop light has red,
yellow and green lights. She wants to know the probability of the light being red on
two mornings.
Which list represents the sample space for two mornings at the stop light?
O {red, yellow, green}
O {red/red,red/yellow,red/green}
O {red/yellow, red/green, yellow/green, yellow/red,green/yellow, green/red}
{red/red,red/yellow,red/green,yellow/red,yellow/yellow,yellow/green,green/red,green/yellow,green/green}

Answers

The sample space for the two mornings at the stop light would be D. {red/red, red/yellow, red/green, yellow/red, yellow/yellow, yellow/green, green/red, green/yellow, green/green}.

How to find the sample space ?

In probability theory, the sample space constitutes the collection of all potential results that could ensue from an experiment. Symbolized by S, it encompasses every plausible outcome that can arise when such a test is conducted.

The sample space would therefore be :
{red/red, red/yellow, red/green, yellow/red, yellow/yellow, yellow/green, green/red, green/yellow, green/green}

This includes all the possible lights that could be seen on the two mornings by Julie.

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The directed line segment PR is divided by point Q (0,-1) in a ratio of 4:3. point P (-8,-9)
Draw segment QR, where point R is the endpoint of segment PR.

Answers

The coordinates of R(x₂, y₂) is (6,5)

Given, the directed line segment PR is divided by point Q (0,-1) in a ratio of 4:3. point P (-8,-9)

We know the formula for section formula here

Q(x, y) = ((x₂m + x₁n)/(m + n), (y₂m + y₁n)/(m + n))

Here, (x₁, y₁) = (-8, -9)

(x,y) = (0,-1)

we have to find (x₂, y₂)

(0, -1) = ((4x₂ + (- 24))/(4+3) , (4y₂ + (- 27))/(3+4))

(0, -1) = ((4x₂ - 24)/7 , (4y₂ - 27)/7)

(4x₂ - 24)/7 = 0

4x₂ - 24 =0

4x₂ = 24

x₂ = 6

(4y₂ - 27)/7 = -1

4y₂ - 27 = -7

4y₂ = 20

y₂ = 5

Therefore, the coordinates of R(x₂, y₂) is (6,5)

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Aaron had twice as many stamps as Howard. After Howard had used up 15 stamps, Aaron had 4 times as many stamps as Howard. How many stamps did Aaron have?

Answers

Answer: 60 stamps

Step-by-step explanation:

a=2h

a=4(h-15)

2h=4(h-15)

h=2(h-15)

h=2h-30

-h=-30

h=30

a=2h

a=2*30

a=60 stamps

6)=3 14. State the number of cubes in each of the diagrams below using exponents. Then arrange these numbers written in exponential form in ascending order a. b. C. 2-4 d.

Answers

The number of cubes in each of the diagrams are 64 cubes, 8 cubes, 1 cube and 27 cubes, respectively

Stating the number of cubes in each of the diagrams

Given that we have the diagrams (a) to (d)

As a general rule, the number of cubes in each of the diagrams is the volume of the shapes

The volumes are calculated as

Volume = Length * Width * Height

So, we have

Figure (a) = 4 * 4 * 4

Figure (a) = 64 cubes

Figure (b) = 2 * 2 * 2

Figure (b) = 8 cubes

Figure (c) = 1 * 1 * 1

Figure (c) = 1 cube

Figure (d) = 3 * 3 * 3

Figure (d) = 27 cubes

Answers

The value of the algebraic expression x³ · (x³ - 18) is approximately - 1. (Right choice: D)

How to find the result of an algebraic expression

In this problem we need to determine the value of an algebraic expression, this can be found by algebra properties. First, write the entire expression:

x³ · (x³ - 18)

Second, clear x in the other expression:

x · (x - 3) = - 1

x² - 3 · x = - 1

x² - 3 · x + 1 = 0

x = 1.5 ± 0.5√5

Fourth, substitute in the equation of the first step:

(1.5 ± 0.5√5)³ · [(1.5 ± 0.5√5)³ - 18]

(3.375 ± 7.546 + 5.625 ± 1.398) · [(3.375 ± 7.546 + 5.625 ± 1.398) - 18]

(9 ± 8.944) · (- 9 ± 8.944)

(± 8.944)² - 9²

- 1.005

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.

The graph shows a v-shaped graph, labeled f of x, with a vertex at 0 comma 1, a point at negative 1 comma 2, and a point at 1 comma 2.
x g(x)
−4 0
−2 −2
0 −4
2 −2
4 0

If g(x) = f(x) + k, what is the value of k?
k = −5
k = −4
k = 4
k = 5

Answers

The value of k is 0, which means that the function becomes g(x) = f(x) + 0 = f(x).

From the given information, we can see that the vertex of f(x) is at (0, 1) and it has a V-shape. The point (-1, 2) and (1, 2) are also on the graph of f(x). We need to find the value of k if g(x) = f(x) + k.

Let's start by finding the function of f(x) based on the given information. Since f(x) has a V-shape and a vertex at (0, 1), we can write the equation as follows:

f(x) = |x| + 1

Now, let's use the table to find the values of g(x) for x = -1 and x = 1:

g(-1) = f(-1) + k = |-1| + 1 + k = 2 + k

g(1) = f(1) + k = |1| + 1 + k = 2 + k

We know that g(-1) = 2 and g(1) = 2, so we can write the following equations:

2 + k = 2

Solving for k, we get:

k = 0

Therefore, the value of k is 0, which means that the function becomes g(x) = f(x) + 0 = f(x).

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Solve 4cos(4x)=2
for the smallest three positive solutions.

Give your answers accurate to at least two decimal places, as a list separated by commas.

Answers

Starting with the given equation:
4cos(4x) = 2

Dividing both sides by 4:
cos(4x) = 1/2

Using the inverse cosine function, we find the angles where cos(4x) = 1/2:
4x = ±π/3 + 2πn, where n is an integer
x = ±π/12 + (π/2)n, where n is an integer

To find the smallest three positive solutions, we need to start with n = 0 and find the first three positive solutions:
x = π/12, 7π/12, and 13π/12

Rounding to two decimal places, the smallest three positive solutions are:
x = 0.26, 0.61, and 1.08

Therefore, the solutions are 0.26, 0.61, and 1.08, separated by commas.

Suppose that incoming calls per hour to a customer service center at a small credit union are uniformly distributed between zero and six calls. The probability that fewer than three calls are received per hour is.

Answers

Since the incoming calls per hour to the customer service center are uniformly distributed between zero and six calls, the probability density function (PDF) is:

f(x) = 1/6, 0 ≤ x ≤ 6

where x is the number of calls per hour.

To find the probability that fewer than three calls are received per hour, we need to calculate the area under the PDF curve between zero and three calls:

P(X < 3) = ∫[0,3] f(x) dx

= ∫[0,3] (1/6) dx

= (1/6) * [x]_0^3

= (1/6) * (3 - 0)

= 1/2

Therefore, the probability that fewer than three calls are received per hour is 1/2 or 0.5.

Find four geometric means between 5 and 1215.

Answers

The four geometric means between 5 and 1215 are 15, 45, 135, and 405. Option C

How to find the four geometric means between 5 and 1215

To find four geometric means between 5 and 1215,

We should find the common ratio between the numbers,

5 * r * r * r * r = 1215

Dividing both sides by 5, we get:

r * r * r * r = 243

Taking the fourth root of both sides, we get:

r = 3

Now that we have the common ratio,

we can find the geometric means by multiplying 5 by powers of 3. The four geometric means are:

5 * 3 = 15

5 * 3 * 3 = 45

5 * 3 * 3 * 3 = 135

5 * 3 * 3 * 3 * 3 = 405

Therefore, the four geometric means between 5 and 1215 are 15, 45, 135, and 405.

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Which comparison statement is true? A.gallon is greater than 132 fluid ounces. B. 4 cups is less than 30 fluid ounces. C. 5 pints is greater than 96 fluid ounces. D. 12 quarts is equal to 48 cups.

Answers

D. 12 quarts is equal to 48 cups.

In the figure below, I ll m. Find x,

Answers

Answer:

180 - 120 = 60

x + 65 + 60 = 180

x + 125 = 180

x = 55

Step-by-step explanation:

hope this helps

PLEASE HELP FAST 50 POINTS AND BRANLIEST!!

Answers

y= mx + b
b is the y intercept, or where the line crosses the y-axis, which is at -1. So, b=-1.
For the slope, we can find two points, lets say (0,-1) and (1,2). Using rise/run, we see the rises 3 and runs 1. So, the slope is 3/1 = 3.
the equation is y=3x - 1

‼️WILL MARK BRAINLIEST IF HELPFUL‼️

Answers

Answer:

Step-by-step explanation:

An altitude is drawn from the vertex of an isosceles triangle, forming a right angle and two congruent triangles. As a result, the altitude cuts the base into two equal segments. The length of the altitude is 30 inches, and the length of the base is 15 inches. Find the triangle’s perimeter. Round to the nearest tenth of an inch.

Please help asp and don't just put random answers please

Answers

The required triangle's perimeter is 33.9 inches.

Let use the Pythagorean theorem to find the length of each leg of the right triangle formed by the altitude and one of the congruent triangles:

a² + b² = c²

where c is the length of the hypotenuse, which is also one of the legs of the isosceles triangle.

Since the isosceles triangle is symmetrical, each leg of the right triangle is half the length of the base or 15/4 inches.

We can substitute this into the Pythagorean theorem to get:

(15/4)² + 30² = c²

225/16 + 900 = c²

1425/16 = c²

c = √(1425/16)

c ≈ 9.44 inches

Since the isosceles triangle has two congruent legs, each leg has a length of 9.44 inches.

Therefore, the perimeter of the triangle is:

P = 2(9.44) + 15

P ≈ 33.88 inches

Rounded to the nearest tenth of an inch, the triangle's perimeter is 33.9 inches.

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What is the relationship between a central angle and its intercepted arc?

Answers

Answer: B. They have the same measure

Step-by-step explanation:

its intercepted arc are equal in measure. This means that arc HS is equal to 40 degrees. Notice that arc HS is the intercepted arc of inscribed angle HMS.

A certain type of lawn sprinkler turns in a circle when it is connected to a hose. Your sprinkler is set to rotate 90° and project water out 30 feet. In terms of π, what part of lawn is watered by the sprinkler?

Answers

The sprinkler waters an area of 225π square feet.

The space occupied by any two-dimensional figure in a plane is called the area. The space occupied by the circle in a two-dimensional plane is called as the area of the circle.

The area is defined as the space covered in a two-dimensional plane by any object.

If the sprinkler rotates 90°, it will cover one-fourth of a full circle.

The area of a full circle with a radius of 30 feet is:

πr² = π(30 feet)²= 900π square feet

So, the area of one-fourth of a circle with a radius of 30 feet is:

(1/4)πr² = (1/4)π(30 feet)² = (1/4)900π = 225π square feet

Therefore, the sprinkler waters an area of 225π square feet.

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If k = 2 3 4 3 L = 7 10 5 11
3 10 1 6 9 4 11 7

Determine k + L

Answers

Answer:

The Correct answer for the question is above in the picture

What are the coordinates of the x-intercept of the function?

f(x)=6+ 10/x−2

Enter your answer by filling in the boxes. Enter any fractions in simplest form.

Answers

Answer:

x = -5/2

Step-by-step explanation:

PLEASE ANSWER AS SOON AS POSSIBLE PLEASE I REALLY NEED HELP ON THIS QUESTION

1. Find the sum of the measures of the angles 1 through 6. Explain your reason

Answers

The sum of the measures of the angles 1 through 6 is 360 degrees

Finding the sum of the measures of the angles 1 through 6

Given that

The diagrams of three triangles that intersect at a point

The sum of the measures of the angles 1 through 6 can be calculated using the theorem of angles at a point

So, we have

2 * (180 - ∠1 - ∠2 + 180 - ∠3 - ∠4 + 180 - ∠5 - ∠6) = 360

Divide through by 2

So, we have

180 - ∠1 - ∠2 + 180 - ∠3 - ∠4 + 180 - ∠5 - ∠6 = 180

Collecting the like terms, we have

∠1 + ∠2 + ∠3 + ∠4 + ∠5 + ∠6 = 180 + 180 + 180 - 180

Evaluating the like terms, we have

∠1 + ∠2 + ∠3 + ∠4 + ∠5 + ∠6 = 360

Hence, the solution is 360 degrees

Answers

Answer:

Step-by-step explanation:

Because a^2 + b^2 = c^2, that means c^2 - b^2 = a^2, therefore:

13^2 - 12^2 = b^2

169 - 144 = b^2

25 = b^2

5 = b

Brainliest? ;)

It helps a lot! (if I get 8 more, I am in the rank of Ace!)

divide 615 ratio 3:5:7

Answers

Answer:

3x + 5x + 7x = 615

15x = 615

x = 41

So we have 123:205:287.

A lock has a code of 5 numbers from 1 to 25. If no numbers in the code are allowed to
repeat, how many different codes could be made?

Answers

Answer:

64,000

Step-by-step explanation:

Answer:

Step-by-step explanation:

12345

If you try to write other numbers like 678910, it will be six digits

If someone could please help with this worksheet, i don’t understand any of it!! (also, ignore the math equation on the right. i’m not sure if i was doing it correctly..)

Answers

The expression of ages of Dana and Alex is d = 5a, the expression of ages of Dana and Elam is e - 2 = 1/2(d - 2) and Alex is 12 years old

Calculating the ages of each person in the picture

Expression of ages of Dana and Alex

Given that

Dana is five times as old as Alex

This means that

d = 5a

Where

d = Dana and a = Alex

Expression of ages of Dana and Elam

Here, we have

Two years ago, Elam was half as old as Dana

This means that

e - 2 = 1/2(d - 2)

Where

e = Elam

Calculating Alex's age from Elam's age

Here, we have

e = 31

So, we have

31 - 2 = 1/2(d - 2)

This gives

58 = d - 2

Solving for d, we have

d = 60

Recall that

d = 5a

So, we have

a = d/5

a = 60/5

Evaluate

a = 12

Hence, Alex's age is 12 years

Answers

Based on the unit prices of the cans of Feed Me and Happy Time baby formulas, A) Feed Me is considered a better deal.

What is the unit price?

The unit price refers to the price per unit or the unit rate.

The unit price is computed as the quotient of the total price divided by the number of units (measurement).

Feed Me Happy Time

Cost $22.00 $11.00

Unit price $1.59 $2.31

Ounces 13.84 4.76 ($11.00 ÷ $2.31)

Thus, based on their unit rates, Feed Me has more quantity (ounces) than Happy Time and Option A is correct.

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pls answer woth 20 points!!

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pls answer
woth 20 points!!