which of the following three dimensional objects has Rotational symmetry about a line A.a car. B.a set of rectangular stairs. C. a rolling pin. D.a stapler

To find the perimeter of the rectangular flower garden, we first need to find its dimensions. Once we have the length and width, we can calculate the perimeter by using the formula: P = 2(length + width). Therefore, the perimeter of the garden is 4x - 8 feet.

To find the perimeter of the rectangular flower garden, we first need to find its dimensions. Let's use x to represent the length of the garden.

According to the problem, the width of the garden is 4 feet less than the length, so the width would be x - 4.

The area of the garden is 32 square feet, so we can set up the equation: x * (x - 4) = 32.

We can solve this equation by factoring or by using the quadratic formula to find the length.

Once we have the length and width, we can calculate the perimeter by using the formula: P = 2(length + width).

Substituting the values, we get P = 2(x + x - 4), which simplifies to P = 4x - 8.

Therefore, the perimeter of the garden is 4x - 8 feet.

Harvey earned a simple interest of $660 over 2 years on his $6000 investment.

To multiply means to add a number to itself a particular number of times. Multiplication can be viewed as a process of repeated addition.

Since, We know that;

Simple interest is calculated using the formula:

I = P r t

Where: I = Interest earned P = Principal amount (amount invested) r = Annual interest rate t = Time period (in years)

Now, In this case,

Harvey invested $6000 for 2 years at an annual interest rate of 5.5%.

So, using the formula:

I = 6000 x 0.055 x 2

I = $660

Therefore, Harvey earned a simple interest of $660 over 2 years on his $6000 investment.

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The velocity of the bus is:

velocity (bus) = 36 miles / 40 min

velocity (bus) = 0.9 miles / min

Since the car is 1.5 times faster, so the velocity of the car is:

velocity (car) = 1.5 * 0.9 miles / min

velocity (car) = 1.35 miles / min

At the meeting point, the sum of the distance is equal to 36 miles. Therefore:

1.35 t + 0.9 t = 36

2.25 t = 36

t = 16 min

So they will meet after 16 minutes.

Answer: 2.2

Step-by-step explanation:

Given : Proportion of choosing silver = 0.2 =0.20.

Proportion of choosing red= 0.09

Clearly, 0.20> 0.09

Now, the number of times more respondents chose silver than red will be :-

[tex] n=\dfrac{0.20}{0.09}\\\\=\dfrac{20}{9}\\\\=2.22222\approx2.2\ \text{ Rounded to the nearest tenth}[/tex]

Hence, 2.2 times the respondents chose silver than red.

Explaining the calculation of the amount in the account after 3 years and the compound interest earned.

Amount in the account after 3 years:

Calculate the monthly interest rate: 6.5% annual interest divided by 12 (months) = 0.0054167

Calculate the total amount using the compound interest formula: $12,500 * (1 + 0.0054167)^36 = $15,183.41

Compound interest earned:

Subtract the initial deposit from the total amount: $15,183.41 - $12,500 = $2,683.41

Answer:

Option (a) is correct.

The value of function [tex]f(x) = -2x^2 + 4x- 7[/tex] at x = -4 is -55

Step-by-step explanation:

  Given : [tex]f(x) = -2x^2 + 4x- 7[/tex]

We have to find the value at f(-4) and choose the correct option from the given options.

Consider the given function [tex]f(x) = -2x^2 + 4x- 7[/tex]

Since, we have to find the value of f(-4) that is value of f(x) at x = -4

Substitute, value of x = -4 in given function, we have,

[tex]f(-4) = -2(-4)^2 + 4(-4)- 7[/tex]

Simplify, we have,

[tex]f(-4) = -55[/tex]

Thus, the value of function [tex]f(x) = -2x^2 + 4x- 7[/tex] at x = -4 is -55

Option (a) is correct.

Final answer:

The space between two objects is measured as distance or length, with miles being the correct unit of measurement among the given options.

Explanation:

The measurement of the space between two objects is referred to as length or distance. If we look at the options provided: A. Area, B. Pounds, C. Circumference, D. Miles, it is clear that miles is a unit of measurement that describes distance. Area measures the size of a surface, pounds measure weight or mass, and circumference measures the distance around a circle. When considering distances, especially those that are long such as between two cities, miles is an appropriate unit to use. For example, the distance between your house and school would best be measured in kilometers or miles, rather than in smaller units like inches or centimeters, or in unrelated units like pounds or areas.

Answer:

Which function has an inverse that is also a function? a {(–1, 3), (0, 4), (1, 14), (5, 6), (7, 2)} b {(–1, 2), (0, 4), (1, 5), (5, 4), (7, 2)} c {(–1, –2), (0, 4), (1, 3), (5, 14), (7, 4)} d {(–1, 4), (0, 4), (1, 2), (5, 3), (7, 1)}

Step-by-step explanation:

It is called the inverse or reciprocal function of f to another function f − 1 that fulfills that:

If f (a) = b, then f − 1 (b) = a.

The inverse of a function when it exists is unique, so that neither "X" nor "Y" can be repeated.

If we analyze the possibilities, in the case of b, c, and d, the value 4 of the "Y" is repeated twice; in the case of a, that does not happen, therefore the answer is: a {(–1, 3), (0, 4), (1, 14), (5, 6), (7, 2) }

The question pertains to a basic subtraction operation where the student is left with 7 boxes of carrots after subtracting 68 boxes from an initial count of 75 boxes.

The subject of the question is mathematics, specifically involving subtraction and the concept of determining the number of items remaining after a reduction. The mathematical operation presented in the question is 75 boxes - 68 boxes = 7 boxes, which indicates that when you start with 75 boxes of carrots and remove 68 boxes, you are left with 7 boxes of carrots.

This type of problem is common in elementary mathematics and does not involve complex concepts such as permutations, probability, or statistical distributions.

Final answer:

The distribution of sample means for college presidents' incomes, based on many different samples of size 40, will approximate a normal distribution due to the Central Limit Theorem.

Explanation:

The question regarding the distribution of sample means for college presidents' incomes pertains to a concept in statistics known as the Central Limit Theorem. When dealing with a population whose distribution is skewed, the distribution of sample means tends to become approximately normal if the sample size is large enough, which is usually considered to be over 30. As multiple samples of size 40 are taken in this case, the distribution of the sample means for the college presidents' annual incomes should approximate a normal distribution.

Answer:

Total number of cards in shuffled deck=3 , 2 , 2 , A , K , Q , K , 5 , 2 , 6, 4 , 5 , K , 2 , 7 , 6 , A , J , J , A .

Total number of cards in a deck of card = 52 cards, out of which 26 are black cards and 26 are red card.

As, it is not given that out of the 20 cards dealt by dealer is either red card or black card.

A=3=2B +1 R or 1 B + 2 R

2=4=2 R +2 B

3=1=1 R or 1 B

4=1=1R or 1 B

5=2=2 R or 2 B

6=2=2 R or 2 B

7=1=1 R or 1 B

8=0

9=0

10=0

J=2= 2 R or 2 B

K=3= 2 R + 1 B or 1 R +2 B

Q=1=1 R or 1 B

If you count total number of black cards among the number of cards dealt by dealer, the possibilities of black card drawn is either 15 or 16 from 20 cards drawn.

As, Experimental probability is the probability obtained through experiment which is different from theoretical Probability.

Total number of cards =52

So, Probability of dealing with black cards by dealer which is either 15 or 16 in number is given by

[tex]=\frac{\text{total favorable outcome}}{\text{total possible outcome}}\\\\\frac{15}{52} {\text{or}} \frac{16}{52}=\frac{4}{13}.[/tex]

40%

There are 20 cards in total.

8 are black: 3,2,K,5,6,4,A,J

12 are red: 2,A,K,Q,2,5,K,2,7,6,J,A

so that means 8 of the 20 are black or 8/20

and 8/20 is 40% which is your answer.

Ok so if she needs 64 floz, If u add 5+3 you get 8. 64/8 = 8

Now You multiply your parts of water and juice by 8.      

5*8= 40   <---- Answer

3*8 =24  <----Answer

To check your answer you would add up the parts of each. 40+24= 64

Answer: A

Step-by-step explanation:

Answer:

$1,360.

Step-by-step explanation:

We are asked to find the amount of property tax at a rate of 1.6% assessed at $85,000.

Let us find 1.6% of 85,000 to find the amount of property tax.

[tex]\text{Amount of property tax}=\frac{1.6}{100}\times 85,000[/tex]

[tex]\text{Amount of property tax}=0.016\times 85,000[/tex]

[tex]\text{Amount of property tax}=1,360[/tex]

Therefore, the property tax will be $1,360 and 1st option is the correct choice.

y = (slope)x + (y-intercept)

y = -1/2x - 2

x-intercepts occur when y = 0

0 = -1/2x - 2

2 = -1/2x

x  = -4

Thus, the x-intercept is at (-4,0)