A principal conducts a study to find the average age of all math teachers in a given high school by recording all their ages. What type of study is this?

Answer:

The graph of your question is attached in the picture below.

g(x) = 2^(-x)

Step-by-step explanation:

First of all, we use a graphing tool to plot each of the equations.

If we multiply in the plotter each graph, we can easily see which is the correct option.

h(x) =x+1

g(x) = 2^-x

Answer:

h(x)=-2^-x

Step-by-step explanation:

Answer:

An isosceles right triangle has 2 congruent sides.

ANSWER

[tex]4,8,14[/tex]

EXPLANATION

Let the first number be

[tex]x[/tex]

Then the second number will be

[tex]2x[/tex]

and the third number is

[tex]2x + 6[/tex]

The sum of these numbers is 26.

This implies that;

[tex]x + 2x + (2x + 6) = 26[/tex]

Group similar terms;

[tex]x + 2x + 2x = 26 - 6[/tex]

Simplify;

[tex]5x = 20[/tex]

Divide both sides by 5

[tex]x = \frac{20}{5} [/tex]

This gives us;

[tex]x = 4[/tex]

The numbers are:

[tex]4,8,14[/tex]

Answer:

1/6

Step-by-step explanation:

The sum is a 7 in 6 of the 36 outcomes and hence the probability of rolling a 7 is 6/36 = 1/6.

Answer:

10.4, or 10 if rounding.

Step-by-step explanation:

26 * .4 = 10.4

A car dealer expected to sell 10.4 ≈ 10 sedans.

A ratio or value that may be stated as a fraction of 100 is called a percentage. And it is represented by the symbol '%'.

Given:

A used car dealer estimates that 40% of his customers will buy sedans.

If he sells 26 sedans,

total cars he would have expected to sell,

= 26 x 40/100

= 10.4

≈ 10

Therefore, he expected 10 sedans to sell.

To learn more about the percentage;

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Answer: the answer is B beacuase The sum of two irrational numbers, in some cases, will be irrational. However, if the irrational parts of the numbers have a zero sum (cancel each other out), the sum will be rational. "The product of two irrational numbers is SOMETIMES irrational."

The sum of two irrational numbers is always irrational is true. Option A is correct.

Given that,
To determine the statements that is true from the given statements.

In mathematics, a rational number is a number that can be described as the result of a fraction of value or does not have face value.

An irrational number is a type of real number which cannot be represented as a simple fraction or the values that have face value are irrational numbers. Example: √2, √3, and π are all irrational.

Here,
A) the sum of two irrational numbers is always irrational.
True,

b) the product if two irrational numbers is sometimes rational.
False

c) the product of a rational number and an irrational number is sometimes rational.
False

d) the sum of two rational numbers is sometimes irrational​.
False

Thus, the only option that is true is the sum of two irrational numbers is always irrational. Option A is correct.

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Answer:

Step-by-step explanation:

Put the values of x from the set {0, 1, 2, 3, 4} to the euation 5x + 6 = 6 and check it:

for x = 0:

5(0) + 6 = 6

0 + 6 = 6

6 = 6      TRUE

for x = 1:

5(1) + 6 = 6

5 + 6 = 6

11 = 6    FALSE

for x = 2:

5(2) + 6 = 6

10 + 6 = 6

16 = 6   FALSE

for x = 3:

5(3) + 6 = 6

15 + 6 = 6

21 = 6          FALSE

for x = 4:

5(4) + 6 = 6

20 + 6 = 6

26 = 6    FALSE

Answer:

11.57

Step-by-step explanation:

We have a simple formula to solve this:

[tex]s^2=\frac{SS}{n-1}[/tex]

where

SS is sum of squares

s^2 is the variance, and

n is the number of data points

We are given all the info to find out s^2. Hence,

[tex]s^2=\frac{SS}{n-1}\\s^2=\frac{162}{15-1}\\s^2=\frac{162}{14}=11.57[/tex]

Answer:

Mike went 9 miles on 1/8 of a tank of gas, how many miles can he go with his full tank.

Then to solve this, we would divide 9 by 1/8

9 ÷ 1/8 = 72

Answer:

Independent

Step-by-step explanation:

with replacement the total number of tiles will always remain the same,i.e the sample size will not be changed. so the events are independent.

Drawing a red tile from a bag and a green tile after replacing the first tile are independent events because the composition of the bag remains unchanged, meaning the probability of drawing the green tile remains constant.

When drawing a red tile from a bag and then drawing a green tile after replacing the first tile, the two events are considered independent. The outcome of drawing the green tile does not depend on the outcome of drawing the red tile. This is because when the first tile is replaced, the composition of the tiles in the bag remains unchanged, resulting in the probability of drawing a green tile being the same regardless of the previous draw. This is known as sampling with replacement.

If, however, the first tile was not replaced, the events would then be dependent, because the removal of the red tile would alter the composition of the bag, affecting the probability of drawing a green tile on the second draw. This is referred to as sampling without replacement. An example of dependent events is a scenario where if a bag contains four blue and three white marbles, and a marble is drawn and not replaced, the probability of drawing a marble of a particular color would change for the second draw.

Answer:

Its 960

Step-by-step explanation:

Although the total cost depends on various factors, generally, owning a small dog tends to be more expensive than owning a cat, mostly due to additional expenses like training, grooming, and potential healthcare costs.

The question is about the average total cost difference between owning a cat and a small dog for a decade. This can be a complex calculation as different cost factors need to be considered, such as food, vaccinations, regular vet care, grooming etc. However, with the given information, we are unable to compute the exact difference. At this stage, a proper figure cannot be provided due to lack of the essential data about the yearly costs for each pet. However, on average, it is generally considered that owning a small dog can be more expensive than owning a cat due to additional expenses like training, grooming, and potentially higher healthcare costs.

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4 a’s and only 1 b :)

4 is a and only 1 b , your welcome

Answer: The correct answer is 15 according to  my work that I have done.

Step-by-step explanation:

* Here is all the all information you'll need just in case.

* Hopefully this helps:) Mark me the brainliest:)!!

∞ 234483279c20∞

Answer:

The correct answer is option 3

arc length = 7.5π

Step-by-step explanation:

It is given a circle with central angle ADC = 45° and radius = 30 cm

To find the length of arc ABC

From the figure we can see that the central angle of arc ABC = 45°

Therefore the arc length = (45/360) * Circumference

To find the circumference

Circumference = 2πr  = 2 * π * 30 = 60π

To find the arc length

Arc ABC  = (45/360) * 60π= 7.5π

Therefore arc length = 7.5π

The correct answer is option 3

Answer:

Length is 18 meters and width is 14 meters

Step-by-step explanation:

You can solve for the length by using the perimeter formula.

P = 2l + 2w.

You know P = 72. You also know the length is l and the width is w = l - 4.

72 = 2l + 2(l - 4)

72 = 2l + 2l - 8

72 = 4l - 8

72 = 4l

18 = l

This means the width which is 4 meters less is 18 - 4 = 14.

Find the Greatest Common Factor (GCF)

GCF = 4

Factor out the GCF. (Write the GCF first, then in parenthesis, divide each term by the GCF)

4(16w^4/4 + 16w^2/4 - 140/4)

Simplify each term in parenthesis

4(4w^4 + 4w^2 - 35)

Split the second term in 4w^4 + 4w^2 - 35 into two terms

4(4w^4 + 14w^2 - 10w^2 - 35)

Factor out common terms in the first two terms, then in the last two terms.

4(2w^2(2w^2 + 7) - 5(2w^2 + 7))

Factor out the common term 2w^2 + 7

= 4(2w^2 + 7)(2w^2 - 5)

Answer:

C

Step-by-step explanation:

In the table -1 and 1 are equal to 5, which is also shown in C.

Since k is a transformed function, a graph that shows the parent function of k is: C. graph C.

Generally speaking, a function can be stretched by multiplying it with the absolute value of a numerical value that is either greater than 1 or less than -1.

Additionally, you should multiply the x-variable with the shrink or stretch factor when compressing (shrinking) or stretching a function horizontally.

Since the numbers 1 and -1 both yield the same output value, it ultimately implies that the graph of the parent function must be a parabola and a quadratic function;

As x decreases from -1, k(x) would increase.

As x increases from 1, k(x) would increase.

Missing information:

Function k has a parent function. The table shows some ordered pairs that belong to k.

Which graph shows the parent function of k?

Answer:

Step-by-step explanation:

Unless there is something special about this, the answer is 25 times the area of 1 parallogram.

Area of 1 parallelogram = Base * Height

Base = B = 5.3 cm

Height = H = 3.3 cm

Area = B*H

Area = 5.3 * 3.3

Area = 17.49

There are 25 pieces.

Total Area = 25 * 17.49

Total Area = 437.25 cm^2

2-3y is the answer u used distributive property to expand it

Answer:

Step-by-step explanation:

Answer:

Final answer is [tex]f(x)+g(x)=0.5x^2+8x^3[/tex]

Step-by-step explanation:

Given functions are [tex]f\left(x\right)=0.5x^2-2[/tex] and [tex]g(x)=8x^3+2[/tex]

Now we need to add both functions:

[tex]f(x)+g(x)[/tex]

[tex]=(0.5x^2-2)+(8x^3+2)[/tex]

[tex]=0.5x^2-2+8x^3+2[/tex]

[tex]=0.5x^2+8x^3-2+2[/tex]

combine like terms -2 and +2

[tex]=0.5x^2+8x^3[/tex]

Hence final answer is [tex]f(x)+g(x)=0.5x^2+8x^3[/tex]

Answer:

[tex] f ( x ) + g ( x ) = 8 x^3 + 0.5 x ^2 [/tex]

Step-by-step explanation:

We are given the following two functions and we are to find their sum:

[tex] f ( x ) = 0.5 x ^ 2 - 2 [/tex]

[tex] g ( x ) = 8 x ^ 3 + 2 [/tex]

Adding the two given functions to get:

[tex] f ( x ) + g ( x ) = 0.5 x ^ 2 - 2 + 8 x ^ 3 + 2 [/tex]

Rearranging them to solve further:

[tex]f(x)+g(x) =8x^3+0.5x^2+2-2[/tex]

So finally we get:

[tex]f(x)+g(x) =8x^3+0.5x^2[/tex]

Answer:

180m^2

Step-by-step explanation:

5 x 3 x 12 = 180m^2

Answer:

I believe the answer is 150m

Step-by-step explanation:

Two perpendicular lines make right angles which equal 90 degrees.

X = 90 - 42 = 48 degrees.

Answer:ayy but imma rapper follow me on souncloud kid ice pvt

Step-by-step explanation:

To find the new prices of computers after a 12% increase, use the expression p + 0.12p or 1.12p.

To find the new prices of computers after a 12% increase, you can use the expression p + 0.12p. This expression represents the regular price p plus 12% of p. Simplifying this expression, we get 1.12p as the new prices of computers.

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3/1×6/8=3/1×3/4=9/4=2 1/4

Answer:

option D

[tex]\frac{8}{3} + \sqrt{\frac{-7}{3} }[/tex]

Step-by-step explanation:

Given in the question are 4 number

5√1/3 - [tex]\frac{9}{\sqrt{7} }[/tex]

2 - [tex]\frac{1}{\sqrt{11} }[/tex]

9 + [tex]3\sqrt{\frac{5}{2} }[/tex]

[tex]\frac{8}{3} + \sqrt{\frac{-7}{3} }[/tex]

A Complex Number is a combination of a Real Number and an Imaginary Number

a + ib

where a is real number

            b is imaginary number

            i is 'lota' which is √-1

[tex]\frac{8}{3} + \sqrt{\frac{-7}{3} }[/tex] is complex number in which

[tex]\frac{8}{3}[/tex] is real part

[tex]\sqrt{\frac{7}{3} } \sqrt{-1}[/tex] = [tex]\sqrt{\frac{7}{3} } i[/tex] is the imaginary part

Answer:

D.  8/3+ sqrt-7/3

Step-by-step explanation:

Answer:

The base is 16

Step-by-step explanation:

Answer:

8 yd²

Step-by-step explanation:

Answer:

Theoretical

Step-by-step explanation:

There are 4 pennies out of 16 coins, so the probability is 4/16, which reduces to 1/4.  This is based on the beginning situation, not on the results of an experiment, so it is the theoretical probability.   Theoretically, you have a 1/4 chance of pulling a penny, but that isn't necessarily what will happen.

Answer:

Step-by-step explanation:

It's not math, but the answer is BITTER. (i used google translate)

Answer:

2 hours and 5 minutes.

Step-by-step explanation:

1 hour and 15 minutes. A quarter of an hour is 15 minutes. A full paper would be 5/5. So you would take 15x5 which would give you 75 minutes or an hour and 15 minutes

Answer:

Your answer will be...

Step-by-step explanation:

50 square root of 3 ft