Given the following exponential function, identify whether the change representsgrowth or decay, and determine the percentage rate of increase er decrease.y = 2500(1.04)

Triangle ABC with coordinates A (3, 4), B (7,7), and C (8, 1) is translated 6 units left and 7 units down.

we have that

the rule of the translation is

(x,y) -------> (x-6, y-7)

Applying the rule to the coordinates of triangle ABC

A(3,4) ------> A'(3-6,4-7)

A'(-3,-3)

B(7,7) ------> B'(7-6, 7-7)

B'(1,0)

C(8,1) --------> C'(8-6,1-7)

C'(2,-6)

Answer:

A number line a closed circle on 8, shading to the left, and a closed circle on 11, shading to the right.

Explanation:

Given the compound inequalities:

First, solve both inequalities:

Thus, the number line should be the one that represents the solution:

• For x≤8, there is a ,closed circle on 8, and ,shading to the left.

• For x≥11, there is a ,closed circle on 11, and ,shading to the right.

Therefore, the correct description will be:

A number line a closed circle on 8, shading to the left, and a closed circle on 11, shading to the right.

The last option is correct.

Answer:

C. 39 feet

Step-by-step explanation:

[tex]{ \tt{h(t) = - 16 {t}^{2} + 48t + 3 }}[/tex]

- Let us find the limits of the function

[tex] { \tt{ \frac{d \{h(t) \}}{dt} = - 32t + 48 }} \\ [/tex]

- So, let us differentiate for the second time;

[tex]{ \tt{ \frac{d {}^{2} \{h(t) \} }{dt {}^{2} } = - 32}} \\ [/tex]

- So, at maximum height; d{h(t)}/dt is 0;

[tex]{ \tt{ - 32t + 48 = 0}} \\ { \tt{ - 32t = - 48}} \\ { \tt{t = 1.5 \: seconds}}[/tex]

- Therefore; maximum height is;

[tex]{ \tt{h(t) = - {16t}^{2} + 48t + 3}} \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \\ { \tt{h(1.5) = - 16(1.5) {}^{2} + 48(1.5) + 3}} \\ { \tt{h(1.5) = - 36 + 72 + 3}} \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \\ { \tt{h(1.5) = 39 \: feet}} \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: [/tex]

Answer:

is not correct because the lcm will be 16 and u will get 21/16

Solution

For this case we can do the following:

1)

2)

3)

4)

5)

We know that the rate of change is a rate that describes how one quantity changes in relation to another quantity. If x is the independent variable and y is the dependent variable, then

where (X1,Y1) and (X2,Y2) are points of our model.

So, in this case we have that:

So, the correct answer is: the rate of change for the sales tax is $0.08 per dollar.

First, draw a schematic representation of that situation:

The shortest distance between the starting point (Linus's house) and the endpoint (Charlie's house) is a straight line. Since a right triangle is formed with the sides of length 7 blocks and 3 blocks, we can use the Pyhtagorean Theorem to find the length of the hypotenuse:

Therefore, the shortest distance between those two points would be 7.6 blocks.

Explanation

We are given the following:

We are required to determine the value of cos 16° from the diagram given.

We know that according to the trigonometry ratio rules:

So, we have:

Hence, the answer is:

Use the next trigonometric identities:

Then, the sec(90º - θ) is:

The sin(θ) is:

Then:

A function is a relation between variables y and x,

where theres only a y value for every x value

In this case x=1 . For every value of x = 1 ,there are infinite values for y , it can take any value , negative or positive.

So this is NOT a function

The angles in the question are vertically opposite angles and Vertically opposite angles are equal.

Therefore,

Therefore,

done

The form of the linear equation is

m is the slope

b is the y-intercept

The given equation is

Compare it with the form above to find m and b

Since the coefficient of x is -2, then

m = -2

Since m is the slope of the line, then

The slope of the line is -2

The answer is B

In order to create the tree diagram, first, create the principal branches which is the type of item,

Then, divide the three colors for each of the items

.the, count the final branches to know the possible outcomes, meaning that the number of possible outcomes is 6.

While completing the race, Ned spent 63 min walking if the ratio of time walking to jogging was 9:1, how many minutes did he spend completing the race?

Let

x-----> time spent walking

y -----> tiime spent jogging

we have

x/y=9/1

x=9y -----> equation A

we have

x=63 min

substitute in the equation A

63=9y

solve for y

y=7 minutes

therefore

teh answer is

When we have a function f(x) we can evaluate it for different arguments (the value of x) by replacing the argument in the definition of the function.

In this case, we know h(x) and we have to express h(3x). To do this, we replace x in the original function with 3x:

Answer: h(3x) = 27x²-4

The scatter plot shows a positive correlation because the points show a linear-trend describing that when x-values (weight) increases then y-values (calories) also increases.

Hence, the relationship is a Positive correlation.

The given data set is 21,31,26,24,28,26.

Arranging the data set in the ascending order,

21,24,26,26,28,31.

The data set contains 6 numbers,

The median can be determined by taking the average of 3rd and 4th term of the data set,

Thus, the required median is 26.

The range can be determined by taking the difference between the highest and the lowest value of the data set,

Thus, the range of the data set is 10.

The interquartile range of the data set can be determined by taking the difference of quartile 1 and quartile 3.

Thus, the required interquartile range is 4.

Let's assum that each person drives 120 miles per week.

Then for person A we have:

for person B we have:

finally, for person C:

Then, if person A changes to person B's car, we have that the save is:

if person B buys person C's car, then the save is:

therefore, the savings on gas will be different for both of them and person C is incorrect.

2)Since person A saved 2 gallons, then the new car for Person C must save 2 gallons for each mile traveled.

Then we have the following equation:

where 'x' represents the number of gallons consumed in 120 miles. then, solving for x we have:

therefore, person C will need to buy a car that uses 1 gallon for eah 120 miles traveled

Solution

final answer is.

Choice A, C ,D

We will have:

The fraction is approximately 11.

The circumference of a circle is given by the formula

however we also knos that the diameter can be written as

meaning that the formula for the circumference can also be written as

then the circumference for the given information is:

First answer:

Second Answer:

The coordinates of the Y'' after reflection of poligon X'Y'Z' over the x axis: (-2, -4)

Solution:

Let t for the number of minutes spent running

In Routine #1, he burns 20 calories walking. He then runs at a rate that burns 10.5 calories per minute.

This can be represented as 20 + 10.5t

In Routine #2, he burns 46 calories walking. He then runs at a rate that burns 5.3 calories per minute.

This can be represented as 46 + 5.3t

The required inequality is

The answer is 5 minutes

Answer:

Step-by-step explanation: it is that

The opposite angles of a parallelogram are equal, therefore:

Opposite sides of a parallelogram are parallel and equal so:

∠TSQ and ∠RQS are alternate interior angles, therefore:

Looking at the triangles, we see that they have two congruent sides, and the angles between them are congruent too.

Then, the two triangles are related by side-angle-side (SAS), so the triangles are congruent (SAS theorem).

Let's begin by identifying key information given to us:

New size: Height = 18 in, Width = ?

Old size: Height = 2 in, Width = 1 in

We will get the width of the new photo by following the explanation below:

Therefore, the width of the enlarged photo is 9 inches

Answer:

x = 33

Step-by-step explanation:

Creating an equation

The angles shown are corresponding angles

Corresponding angles are angles that occupy the same position and are on the same side of the transversal. For a better sense of this, kindly review the attached image.

Corresponding angles are congruent ( equal to each other )

This means that 124 = 4x - 8

Solving for x

124 = 4x - 8

==> add 8 to both sides

132 = 4x

==> divide both sides by 4

33 = x

Note that 10 dimes = $1

Also 4 quarters = $1

That means, 100 dimes equals $10

Also, 44 quarters =