Option A is correct, 5(3f+2) expression also represents the total cost of frames.
What is Expression?An expression is combination of variables, numbers and operators.
The expression 15f+10 represents the total cost of f frames.
We need to find the equivalent expression which represents the total cost of frames.
Equivalent expressions are expressions that work the same even though they look different.
Let us find the GCF of 15 and 10, which is 5 to factor out the expression.
5(3f+2)
Hence, 5(3f+2) expression also represents the total cost of frames.
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Plot the point (4,5) on the graph
Answer:
I don't know if this helps.
The equation for the area of a trapezoid is A equals one-half times h times the quantity of b subscript 1 plus b subscript 2 end quantity..
If A = 28, b1 = 6, and b2 = 8, what is the height of the trapezoid?
h = 2
h = 4
h = 6
h = 7
The height of the trapezoid is h = 4, and the answer is B.
Describe Trapezoid?A trapezoid, also known as a trapezium, is a four-sided polygon with two parallel sides, also called the bases. The non-parallel sides are called legs, and they can have different lengths. The parallel sides are perpendicular to the legs.
There are two types of trapezoids:
Isosceles trapezoid: This type of trapezoid has two parallel sides of equal length and two legs of equal length.
Scalene trapezoid: This type of trapezoid has two parallel sides of different lengths and two legs of different lengths.
We can use the formula A = 1/2 * h * (b1 + b2) to solve for h. Substituting the given values, we get:
28 = 1/2 * h * (6 + 8)
28 = 1/2 * h * 14
28 = 7h
h = 4
Therefore, the height of the trapezoid is h = 4, and the answer is B.
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graph y ≤ 2 on a number line
graph x < -3 on a number line
A population has a mean of 400 and a standard deviation of 90. Suppose a sample of size is 100 selected and is used to estimate What is the probability that the sample mean will be within 8 of the population mean
By answering the above question, we may state that As a result, there is standard deviation a roughly 0.9999 or 99.99% chance that the sample mean will be within 8 of the population mean.
What is standard deviation?A statistic known as standard deviation may be used to indicate the variation or variability of a set of statistics. A low standard deviation means that the values tend to be closer to the established mean whereas a large standard deviation shows that the values are widely spread. The standard deviation serves as a gauge for how far the data are from the mean (or ). The data tend to cluster around the mean when the standard deviation is low, and are more scattered when the standard deviation is high. Standard deviation is a measurement of the data set's average variability. It displays the standard deviation of each score with respect to the mean.
population + standard deviation departure from the mean / sqrt (sample size)
Standard deviation is 90/sqrt(100) and equals 9.
z is equal to (x - ) / ( / sqrt(n)).
where:
The sample mean is x. We are looking for the probability given the following conditions: where is the sample size, which is 100; is the population mean, which is 400; is the standard deviation of the distribution of sample means, which is 9;
When we change the values, we obtain:
[tex]Z = (9 / sqrt(100) / (x - 400)\\z = (x - 400) / 0.9\\P(392 < = x < = 408)\s= P[(392 - 400) / 0.9 < = z < = (408 - 400) / 0.9] .9]\\= P[-8.89 < = z < = 8.89] .89]\\[/tex]
To determine this probability, we can use a calculator or a conventional normal distribution table.
[tex]P[-8.89 < = z < = 8.89] = 0.9999[/tex]
As a result, there is a roughly 0.9999 or 99.99% chance that the sample mean will be within 8 of the population mean.
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The box plot displays the number of push-ups completed by 9 students in a PE class.
A box plot uses a number line from 9 to 56 with tick marks every 2 units. The box extends from 20 to 42.5 on the number line. A line in the box is at 35. The lines outside the box end at 10 and 55. The graph is titled Push-Ups In PE and the line is labeled Number of Push-Ups.
Which of the following represents the value of the median of the data?
10
20
35
55
The value of the median of the data is 35.
What is Algebraic expression?
Algebraic expression can be defined as combination of variables and constants.
A box plot is a graphical representation of a data set that shows the distribution of the data, as well as the central tendency and the variability of the data. In this case, the box plot displays the number of push-ups completed by 9 students in a PE class.
The box plot has a number line from 9 to 56 with tick marks every 2 units. The box extends from 20 to 42.5 on the number line, which means that the middle 50% of the data (i.e., the interquartile range) lies between 20 and 42.5. The line in the box represents the median of the data, which is the value that separates the data set into two equal halves.
In this case, the line in the box is at 35, which means that half of the students completed more than 35 push-ups, while the other half completed fewer than 35 push-ups.
Therefore, the value of the median of the data is 35.
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Which of the following represents vector vector u equals vector RS in linear form, where R (–25, 5) and S (–36, 11)?
v = –11i + 6j
v = 11i + 6j
v = 6i – 11j
v = –6i +11j
The vector V in linear form will be v = –11i + 6j i.e. A.
What exactly is a vector?In mathematics, a vector is a mathematical object that has both magnitude and direction. It is typically represented as an arrow in space, where the length of the arrow represents the magnitude of the vector, and the direction of the arrow represents the direction of the vector.
Now,
Vector RS can be represented as the difference between the coordinates of R and S:
RS = S - R
RS = (-36, 11) - (-25, 5)
RS = (-36 + 25, 11 - 5)
RS = (-11, 6)
To represent RS in linear form, we can use the components of the vector as coefficients of the basis vectors i and j:
RS = -11i + 6j
Therefore,
the correct option is v = -11i + 6j.
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Answer:
A is right
Step-by-step explanation:
The area of AQRS is 14 square feet. What is the area, in square feet, of the image of AQRS after dilation with scale factor 2?
The area of the image of AQRS after dilation with scale factor 2 is 56 square feet.
What is the area, in square feet, of the image of AQRS after dilation with scale factor 2?Given the data in the question;
Area of AQRS = 14 square feetArea of image AQRS after dilation with scale factor 2 ?If we dilate a figure with a scale factor of 2, the area of the dilated figure will be 2² = 4 times the area of the original figure.
So, to find the area of the image of AQRS after dilation with scale factor 2, we just need to multiply the area of AQRS by 4:
Area of dilated image = 4 × Area of AQRS
Area of dilated image = 4 × 14
Area of dilated image = 56 square feet
Therefore, the area of the image of AQRS is 56 square feet.
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if x=7 is an x-intercept of f(x)=x^3 - 7x^2 +9x-63 write f(x) in factored form
The factored form of the polynomial f(x) = x³ - 7x² + 9x - 63 is,
(x - 7)(x² + 9).
What is a factor of a polynomial?We know that if x = a is one of the roots of a given polynomial x - a = 0 is a factor of the given polynomial.
To confirm if x - a = 0 is a factor of a polynomial we replace f(x) with f(a) and if the remainder is zero then it is confirmed that x - a = 0 is a factor.
Given, A polynomial f(x) = x³ - 7x² + 9x - 63.
Now, If x = 7 is an x-intercept then one root(cuts the x-axis) is 7 and one factor is (x - 7).
Now, Factoring(long division) f(x) = x³ - 7x² + 9x - 63 by (x - 7) we have,
(x³ - 7x² + 9x - 63) = (x - 7)(x² + 9).
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Find the length in each isosceles right triangle.
a. Find the leg if the hypotenuse is 102√
Leg =
b. Find the hypotenuse if the leg is 92√
Hypotenuse =
(33 points)
The answer of the given question based on the length in each isosceles right triangle is given below,
What is Isosceles right triangle?An isosceles right triangle is right triangle in which two legs have the same length, making it isosceles triangle, and one of angles is right angle, making it right triangle. an isosceles right triangle, two acute angles are congruent, each measuring 45 degrees, and hypotenuse is equal in length to legs multiplied by √2.
The isosceles right triangle is special case of 45-45-90 triangle, where angles measure 45 degrees, 45 degrees, and 90 degrees, respectively. In 45-45-90 triangle, the hypotenuse is equal in length to legs multiplied by √2.
a. If the hypotenuse is 102√, then each leg is the same length as the hypotenuse divided by √2. Therefore:
Leg = 102√/√2 = 102
b. If one leg is 92√, then the hypotenuse is the length of that leg multiplied by √2. Therefore:
Hypotenuse = 92√ * √2 = 92 * 2 = 184.
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What the tape diagram and how to find the equation true.
Answer:
20=2g
g=10
20/2=10
g=10
Solve this please. 3(-2)(5)(-1)(0)
Answer:
0.
Step-by-step explanation:
Multiplying 3, -2, 5, -1, and 0, we get:
3 x -2 x 5 x -1 x 0 = 0
So, 3(-2)(5)(-1)(0) = 0.
Answer:
Step-by-step explanation:
5x-2=-10x-1=10x3=30x0=0
0 is the very last answer
Need. help asap ........................
Answer: 135x
Step-by-step explanation: I did this and got it right
Answer:
The answer is 135
Step-by-step explanation:
Always use PEMDAS when solving so this id what you do
P (parenthesis): 12-2 = 10
E (exponent): [tex]3^{3}[/tex] = 3x3x3 = 27
M (multiply): 10x27= 270
D (divide): 270 divided by 2 = 135
*There is no addition and subtraction in the equation so you dont have to use them*
I hope this helped you!!
what is the answer for the question
$30,000 invested for 40 years at 10% compounded annually
The amount at the end of the 40 years calculated using compound interest at a rate of 10% is $1,357,777.67.
What is meant by compound interest?Compound interest, also known as interest on principal and interest, is the practice of adding interest to the principal amount of a loan or deposit. The interest charged on a loan or deposit is known as compound interest. That is the idea that we employ the most frequently on a daily basis. The interest that is calculated using both the principal and the interest that has accrued during the previous period is called compound interest. It differs from simple interest in that the principal is not taken into account when determining the interest for the subsequent period with simple interest.
Given,
The principal amount P = $30,000
The time period t = 40 years
The rate of interest r = 10%
The number of times compounded in a year n = 1
The compound interest formula can be used to calculate the amount at the end of 40 years.
[tex]A = P(1 + \frac{r}{n})^{nt} = 30000(1 + \frac{0.1}{1})^{1*40}[/tex] = $1,357,777.67
Therefore the amount at the end of the 40 years calculated using compound interest at a rate of 10% is $1,357,777.67.
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Find the value of x.
The value of x is given as follows:
x = 4.8.
What is the Pythagorean Theorem?The Pythagorean Theorem states that for a right triangle, the length of the hypotenuse squared is equals to the sum of the squared lengths of the sides of the triangle.
In the context of this problem, the parameters are given as follows:
The sides are the x and and 14.The hypotenuse is of x + 10.Applying the Pythagorean Theorem, the value of x is obtained as follows:
x² + 14² = (x + 10)²
x² + 196 = x² + 20x + 100
20x = 96
x = 96/20
x = 4.8.
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The community center tracked the usage of cardio equipment to determine how many members used certain
pieces of equipment last weekend. The circle graph shows the results.
Cardio Equipment Used
15%
bike
42%
treadmill
20%
stepper
23%
elliptical
How many of the 500 members that used cardio equipment did NOT use a stepper or treadmill?
members
The members that did not use the stepper and treadmill is 190.
How many people do not use the stepper or treadmill?A circle graph is a graph that displays information in a circle. The circle is divided into slices which represent a numerical proportion. The sum of angles in a circle graph is 360 degrees. The percentages add up to 100 percent.
Members that do not use the stepper or treadmill = (100 - percentage that represents the number of people that use the treadmill and stepper) x number of people that used the cardio equipment
= [100 - (42% + 20%)] x 500
(100 - 62%) x 500
38% x 500
= 38/100 x 500 = 190
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Classify the triangle below as Right, Obtuse, or Acute
The triangle can be classified as follows:
NUMBER 4: obtuse
NUMBER 5: obtuse
NUMBER 6: obtuse
NUMBER 7: right
NUMBER 8: right
NUMBER 9: acute
NUMBER 10: right
How to know if a triangle is acute based on side lengths?To classify the triangle as Right, Obtuse, or Acute, follow the following steps:
1. Calculate the sum of squares of the two smaller sides.
2. Compare it to the square of the longest side.
3. If the sum is greater, your triangle is acute. If they are equal, your triangle is right. If the sum is less, your triangle is obtuse.
NUMBER 4
6² + 7² = 58
9² = 81
58 < 81 (obtuse)
NUMBER 5
10² + 12² = 244
16² = 256
244 < 256 (obtuse)
NUMBER 6
8² + 16² = 320
(8√6)² = 384
320 < 384 (obtuse)
NUMBER 7
20² + 21² = 841
29² = 841
841 = 841 (right)
NUMBER 8
8² + 3² = 73
(√73)² = 73
73 = 73 (right)
NUMBER 9
8² + 10² = 164
12² = 144
164 > 144 (acute)
NUMBER 10
9² + 15² = 306
(3√34)² = 306
306 = 36 (right)
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diametro de un circulo de 3.5m
Answer:
[tex]625m^{2}[/tex]
Step-by-step explanation:
3. Shawn opened a money market account that has a 3.25% annual interest rate,
compounded yearly. He deposits $2,750 into the account each year. How much
interest will the account eam after 25 years?
Answer:
To find the total interest earned by the account after 25 years, we need to use the formula for compound interest:
A = P(1 + r/n)^(nt)
where:
A = the total amount after t years
P = the principal (initial deposit)
r = the annual interest rate (as a decimal)
n = the number of times the interest is compounded per year
t = the number of years
In this case, P = $2,750, r = 0.0325, n = 1 (compounded yearly), and t = 25. Plugging these values into the formula, we get:
A = 2,750(1 + 0.0325/1)^(1*25)
A = 2,750(1.0325)^25
A = 2,750(2.0154)
A = $5,534.85
To find the total interest earned, we need to subtract the initial deposit from the total amount:
Interest = $5,534.85 - ($2,750 x 25)
Interest = $5,534.85 - $68,750
Interest = $-63,215.15
This result indicates that the account holder would have lost money over the 25-year period, as the interest earned was not enough to offset the annual deposits. However, it's worth noting that this calculation assumes no additional deposits or withdrawals were made during the 25 years. If the account holder had made additional deposits or withdrawals, the total interest earned would be different.
which mathematical symbols are used to indicate that the endpoints of an interval are not included in the graph of an inequality?
Answer:
The mathematical symbols used to indicate that the endpoints of an interval are not included in the graph of an inequality are "<" and ">" signs with a small circle or parenthesis next to them.
The symbol "<" with a circle or parenthesis on the right side indicates that the endpoint is not included, while the symbol ">" with a circle or parenthesis on the left side indicates that the endpoint is not included.
For example, the inequality x > 3 indicates that the variable x is greater than 3, but does not include 3 in its solution set. Similarly, the inequality y < -2 with a circle or parenthesis on the left side indicates that the variable y is less than -2, but does not include -2 in its solution set.
Step-by-step explanation:
the product of a 5 and a number plus 11 is 36
Answer:
Step-by-step explanation:
5*x+11=36
5*x=36-11
x=25/5
x=5
5 is the answer
Hey there!
Guide to follow
• Product = multiply/multiplication
• Sum = add/addition
• Quotient = divide/division
• Difference = subtract/subtraction
• Is = equal to/equivalent to
Question reads….
“The product of a 5 and a number plus 11 is 36”
We are not sure what the unknown number is, so we will label it as “w”
Your equation:
5 * w + 11 = 36
SOLVING for the answer to the equation:
5 * w + 11 = 36
5w + 11 = 36
SUBTRACT to both sides
5w + 11 - 11 = 36 - 11
SIMPLIFY it
5w = 25
DIVIDE 5 to BOTH SIDES
5w/5 = 25/5
SIMPLIFY it
w = 25/5
w = 5
Therefore, your unknown number should be: 5
Good luck on your assignment & enjoy your day!
~Amphitrite1040:)
What is the inequality shown?
-6
-3 -2
-4
-5
-1
0
1
2
3 4
15
5
916
From the image given, inequality is -2≤x<8 from x≥-2, x<8. It serves as a concrete example of inequality.
What is inequality?Broadly speaking, a mathematical phrase that defines an order relationship between two integers equivalent algebraic expressions, showing whether one is bigger than, equal to, smaller than, or smaller than and equal to the other.
The sentence "5x - 4 > 2x + 3" seems like an equation because the mathematical sign for "equals" has indeed been replaced by an arrowhead. It serves as a concrete example of inequality. From the image given, inequality is -2≤x<8 from x≥-2, x<8.
Therefore, from the image given, inequality is -2≤x<8 from x≥-2, x<8.
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HELPPPPP
Which statement is sometimes true?
Question 2 options:
A square is a rhombus.
A trapezoid is a parallelogram.
A rectangle is a parallelogram.
A rectangle is a square.
Answer:
A square is a rhombus.
Step-by-step explanation:
When rotated 45 degrees, a square can sometimes be a rhombus (aka a diamond). A rhombus can have four equal sides with four right angles, just like a square.
A trapezoid cannot be a parallelogram. A parallelogram has two sides that are parallel with each other going horizontally and two that are also parallel but going diagonally.
A parallelogram opposite sides are equal while rectangles have opposite sides that are equal as well as all of its adjacent sides being perpendicular to form right angles. A parallelogram has no right angles. The diagonals of a rectangle are equal whereas the diagonals of a parallelogram are not.
A rectangle is a closed 2D shape with four straight edges and four right angles, also the diagonals are equal. A square on the other hand is a closed 2D shape with four straight edges, four right angles, and four equal sides. Squares can be rectangles but not all rectangles can be squares.
I hope this helps.
Have a great day!
PLEASE IT IS TIMED!!!!!!!!! If f(x)=x^3 and g(x)=(x+4)^3 which description represents the graph of function g? A. a vertical transformation of function f 4 units down B. a horizontal transformation of function f 4 units left C. a horizontal transformation of function f 4 units right D. a vertical transformation of function f 4 units up
Answer:
5175 7 ehsjdjdrusjskskekrirr
what is the surface area of the cone?
Which of the following explains why 23(x+3)=23(x−6) has no solution?
Answer:
Step-by-step explanation:
We can expand and simplify the equation as follows:
23(x+3) = 23(x-6)
23x + 69 = 23x - 138
69 = -138
The last equation is clearly false, which means there is no value of x that can satisfy the original equation.
This is an example of a contradiction, where the equation leads to an impossible statement. Therefore, the equation has no solution.
I need immediate help!!
Answer:
First: P, R. Second: 3.
Step-by-step explanation:
In this, you can see the first tree diagram with C,R C,B and C,W.
Then when you go to the other diagram it's P,R P,B and P,W.
Therefore the combination P,R is missing from the tree diagram and belongs to the box.
When you count the number of combinations:
1, P,R
2, P,B
3, P,W
Therefore they are a total of 3 combinations.
suppose A and B are dependent events. If P(A)= 0.4 and P(B)= 0.9, what is P(AnB)
The value of the probability P(A n B) is 0.36
How to determine the value of the probabilityFrom the question, we have the following parameters that can be used in our computation:
A and B are dependent events.
P(A)= 0.4 and P(B)= 0.9
Using the above as a guide, we have the following:
P(A n B) = P(A) * P(B)
Substitute the known values in the above equation, so, we have the following representation
P(A n B) = 0.4 * 0.9
Evaluate
P(A n B) = 0.36
Hence, the solution is 0.36
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You work for a pet-grooming service. You record the number of animals you groomed each day over a 10-day period: 7, 10, 8, 9, 7, 11, 8, 6, 7, and 9. You state that the typical number of animals that you can groom is the mean of 8.2 animals per day.
Does this measure of central tendency describe the data well?
Yes, because the mean always describes data well.
Yes, because there are no outliers to skew the data.
No, because it is not possible to groom 0.2 of an animal.
No, because the most common number of dogs groomed is 7.
Yes, because half of the time, it is possible to groom more than 8.2 and half the time less than 8.2.
No because it is not possible to groom 0.2 of an animal.
What is median ?
The value of the middle observation found after the data are arranged in ascending order is referred to as the median of the data. In many cases, it is challenging to take all of the facts into account when representing something, and in these cases, the median is helpful. The median is one of the simple to compute statistical summary metrics. The median is also known as the place average since it uses the data that is in the center of a sequence to determine its value.
To support this, we can also calculate the median and mode of the data set to see if they are close to the mean. The median is the middle value of the sorted data set, which is 8 in this case, and the mode is the most common value, which is also 7 and 8 in this data set. So, the mean, median, and mode are all relatively close to each other, indicating that the data is roughly symmetric around the center.
Based on the given data, the mean of 8.2 animals per day can be considered as a reasonable measure of central tendency.
Hence the answer is No because it is not possible to groom 0.2 of an animal.
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Answer:
Yes, because there is no outliers to skew the data.
Step-by-step explanation:
I did the quiz
I give crown help and more points if you help
The equation and solution for given situations are
Situation 1: 1.45x + 3.25 = 9.05; 4 pounds
Situation 2: 850 - 15a = 805; 3 days
Situation 3: 12.50 + 1.50r = 39.50; 18 times
Situation 4: 29.95x + 5.95 = 185.65; 6
Situation 5: y = x - 5; 37 inches
Linear equation:
The linear equation is a mathematical statement that is used to find an unknown quantity or number in a given situation. In this, we used different types of variables to represent the unknown value.
To solve the following situations use different variables and solve them for the value of variables.
Here we have
Situation 1:
A freight company charges $ 1.45 per pound plus a handling fee of $ 3.25. A customer was charged $ 9.05 to ship a package
Let 'x' be the weight of the package
=> 1.45x + 3.25 = 9.05
=> 1.45x = 5.8
=> x = 4
∴ weight of the package is 4 pounds
Situation 2
A tenant is charged $ 850 for rent on the 5th of the month. For every day they are early, they can deduct $ 15 from the rent. The tenant pays $ 805
Let the tenant pay the rent 'a' number of days early
=> 850 - 15a = 805
=> 15a = 45
=> a = 3
∴ The tenant paid 3 days early.
Situation 3
Jordan pays $ 12.50 for a city bus pass lowering his bus fare to $ 1.50 per ride. In March, Jordan spent $ 39.50 to ride the city How many times did he ride the bus
Let Jordan ride for 'r' time
=> 12.50 + 1.50r = 39.50
=> 1.5r = 27
=> r = 18
∴ Jordan ride the bus 18 times
Situation 4
Jung purchased several video games priced at $ 29.95 and the shipping cost is $ 5.95. His total purchase is $ 185.65
Let Jung buy 'y' number of games
=> 29.95x + 5.95 = 185.65
=> 29.95x = 179.7
=> x = 6
∴ Jung purchased 6 video games.
Situation 5:
Milo is five inches shorter than his brother, Jayce. Milo is 42 inches tall
Let Jayce is 'x' inches and Milo is 'y' inches
=> y = x - 5
=> 42 = x - 5 [ From the data ]
=> x = 37 inches
Therefore,
The equation and solution for given situations are
Situation 1: 1.45x + 3.25 = 9.05; 4 pounds
Situation 2: 850 - 15a = 805; 3 days
Situation 3: 12.50 + 1.50r = 39.50; 18 times
Situation 4: 29.95x + 5.95 = 185.65; 6
Situation 5: y = x - 5; 37 inches
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