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Answer: graph the function defined by the formula g(x) = f(x)+2. To graph y = f(x) - k, shift the graph of y = f(x) down k units by subtracting k from.

Step-by-step explanation:

Answer: First you used distribute property

7(2+6) bring 7 into the parentheses

14+42 Then you just add

56 that’s the sum

Step-by-step explanation: hope this helps

In the form y = ab^x, if b is a number between 0 and 1, the function represents exponential decay.

The term "exponential decay" in mathematics refers to the process of a constant percentage rate reduction in an amount over time. It can be written as y=a(1-b)x, where x is the amount of time that has passed, an is the initial amount, b is the decay factor, and y is the final amount.

Radioactive decay and population decline are two examples of exponential decay. The data collected can be used to forecast future population trends for cities and colonies as well as the half-life of radioactive materials.

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Answer:

First subtract 28 by 7.

28 - 7 = 21

Then multiply 28 times 3

28 times 3 is 84

Then finally divide 84 by 21

84/21 = 4

Each of the children would get 4 apples

Step-by-step explanation:

Denote by x the number of miles traveled.

Denote by p(x) the price paid

[tex]p(x) = 2 + 0.75x[/tex]

[tex]p(12) = 2 + 0.75(12) \\ p(12) = 2 + 9 \\ p(12) = 11 \: dollars[/tex]

No he is not, since they stated that the price is equal to two more than the product of 0.75 and the distance traveled, in this case represented by the variable m

The maximum height of the ball is 9.8 feet.

The distance the ball travels horizontally before hitting the ground is 2.

The graph that model the parabolic path is given below.

Parabolic path is defined as the angle of trajectory of a projectile.

We have,

y = 0.4x² + 1.6x + 5 _____(1)

Where,

x = balls horizontal distance

y = height of the ball

To find the maximum height we need to differentiate y and set y = 0.

y' = 0

0.4 x (2x) + 1.6 + 0 = 0

0.8x + 1.6 = 0

-0.8x = -1.6

x = 1.6 / 0.8

x = 2

Now the maximum height of the ball is:

Put x = 2 in (1)

y = -0.4 x (2)² + 1.6 x (2) + 5

y = 0.4 x 4 + 3.2 + 5

y = 1.6 + 3.2 + 5

y = 9.8

The distance the ball travels horizontally before hitting the ground:

x = 2

The equation that models the​ ball's parabolic path is given below:

Thus,

The maximum height of the ball is 9.8 feet.

The distance the ball travels horizontally before hitting the ground is 2.

The graph that model the parabolic path is given below.

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The value of the fifth term based on the expression a + (n - 1) + 6 is 14.

From the information, it should be noted that the first term has been given and the nth series has been given.

It should be noted that the fifth term will be:

= a + (n - 1) + 6

where

a = 4

n = 5

Therefore, a + (n - 1) + 6

= 4 + (5 - 1) + 6

= 4 + 4 + 6

= 14

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a_1=4 and an=a + {n-1}+6. Find the fifth term

The function that represents the total amount of money in both accounts at the end of three years as

First Bank - 107 P / 100

Second Bank - 10747 P / 10000

Simple interest :

    Simple interest can be calculated as follows

S.I = PRT / 100

Let the amount invested in two banks be 'P'

First Bank :

Given the first bank offers an interest rate of 3% for the first year and 2% for the next two years as

R₁ = 3%, R₂ = 2% T₁ = 1, T₂ = 2

Now the simple interest for the first bank is

S. I = PR₁T₁ / 100 + PR₂T₂ / 100

     = P(3*1 / 100 + 2*2 / 100)

     = P(3 / 100 + 4 / 100)

     = 7P/100

The total amount of money in the first bank at the end of three years is

= S.I + P

= 7P / 100 + P

= 107 P / 100

Second Bank:

Given the second bank offers an interest rate of 2.49% for the three years as

R = 2.49, T = 3

Now the simple interest for the second bank is

S. I = PRT / 100

     = P(2.49 * 3 / 100 )

     = P(7.47 / 100)

     = 7.47P/100

The total amount of money in the second bank at the end of three years is

= S.I + P

= 7.47P / 100 + P

= 107.47 P / 100

= 10747 P / 10000

Therefore, the function that represents the total amount of money in both accounts at the end of three years as

First - 107 P / 100

Second - 10747 P / 10000

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There are 11.2% more men than women

The First step is to calculate the percentage of men in attendance

There are 75 men and 60 women

Total number of people in attendance= 75 +60

= 135

75/135 × 100

= 0.556 × 100

= 55.6

The percentage of women in attendance

= 60/135 × 100

= 0.444 × 100

= 44.4

Next step is to subtract both percentages

= 55.6 - 44.4

= 11.2

Hence there are 11.2% more men that women

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Answer:

angle v

please take a look at the gif

Answer:

v

Step-by-step explanation:

Answer: w2

Step-by-step explanation:

It is just w2, or w*2, or w x 2. You just have the number w twice.

The five-number summary for the data 2, 2, 4, 4, 5, 5, 6, 7, 9, 15 is 2, 4, 5, 7, 15

The given data is 2, 2, 4, 4, 5, 5, 6, 7, 9, 15

The first step is to arrange the data in ascending order.

The given data is already in ascending order.

Lowest value = 2

Q1 = 4 (Median of first part i.e., 2, 2, 4, 4, 5)

Q2 = 5 (Median of full data i.e., 2, 2, 4, 4, 5, 5, 6, 7, 9, 15)

Q3 = 7 (Median of second part  i.e., 5, 6, 7, 9, 15)

Highest value = 15

So, the five number summary of the data is 2, 4, 5, 7, 15

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Answer:

Below

Step-by-step explanation:

Ok, there is a few ways to slove this problem. You could just try to plug in both xs and see which is true, or you could actually do the math. I will do the math.

Alright, the first question is a corrseponding angle, so they are equal to each other. Set it up like this:

3x-1=x+5

Now, you need to get the variable by itself, so do that.

3x-1=x+5

    +1    +1

3x=x+6

-x  -x

2x=6

/2    /2

x=3

The arrow will go to the right.

Now, you have a same side exterior angle. When you add these together, they will equal 180 degrees, so set up the equation like this.

8x+10+6x+2=180

Now, solve

8x+10+6x+2=180

Combine like terms (8x+6x)+(10+2)

14x+12=180

      -12  -12

14x=168

/14   /14

x=12

Your arrow will go down.

Same side interior angles is your next problem, and it is like same side exterior angles as it equal 180. Set up your equation accordingly

10x-8+5x+8=180

Combine like terms (10x+5x)+(8-8)

15x=180

/15   /15

x=12

Your arrow will go down.

These are opposite side exterior angles, so they will equal each other. Set up the equation accordingly.

9x+18=10x-8

Get the variable on one side and by themselves

9x+18=10x-8

    +8         +8

9x+26=10x

-9x        -9x

26=x

Your arrow will go upper corner right

This problem is opposite side exterior angles, so they will equal each other. Set up the equation accordingly.

2x+5=3x-7

   +7       +7

2x+12=3x

-2x      -2x

12=x

Your arrow will go up

Now, you have a same side exterior angle. When you add these together, they will equal 180 degrees, so set up the equation like this.

8x+5+2x-15=180

Combine like terms (8x+2x)+(5-15)

10x-10=180

    +10  +10

10x=190

/10   /10

x=19

Arrow goes diagonal right down

The angles are opposite side interior angles, so they are equal to each other. Set up your equation like this:

4x-4=-3x+52

    +4       +4

4x=-3x+56

+3x +3x

7x=56

/7   /7

x=8

That is your finish!

From the box-and-whisker plot of the distribution, we have that:

The plot of the distribution is missing, as is given at the end of the answer.

It asks to describe:

A box and whisker plot shows five things:

For the plot in this problem, we have that:

Hence:

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Hey there!

(5.4)^2

= 5.4^2

= 5.4 * 5.4

= 29.16

Therefore, your answer should be:

29.16

Good luck on your assignment & enjoy your day!

~Amphitrite1040:)

After solving the equation, x  = 4/5 is the value of x in [tex]2^{5x+1} = 32[/tex]

⇒ [tex]2^{5x+1} = 32[/tex]

⇒    [tex]2^{5x+1} = 2^5[/tex]

⇒ 5x + 1 = 5

⇒ 5x = 5 - 1

⇒ 5x = 4

⇒ x  = 4/5

To solve linear equations, utilize the steps that are provided below.

Lets take an example of solve z for 7z – (3z – 4) = 12

Here is no multiplication or division, so this will be easy to solve

⇒ 7z – (3z – 4) = 12

⇒ 7z – 3z + 4 = 12

⇒ 4z = 12 – 4

⇒ 4z = 8

⇒ z = 8/4

⇒ z = 2

See, that was so simple, using the mentioned methods, every linear equation can be solved easily.

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Answer:

Hypotenuse

Step-by-step explanation:

The longest side of a triangle is opposite the largest angle, which is the right angle in a right triangle.

Answer:

Hypotenuse.

Step-by-step explanation:

Discussion

A: says it is a right angle. It can't be the answer to the longest side.

B: Usually B and A might be the hypotenuse, but that is generally not the way they are displayed.

C: Neither B nor A can be chosen.

D: Answer:

7m shelf length is required for 300 such books, and 36 books are needed to fill the 84cm long shelf. So option (a). 7m,36 books is the correct option.

here in the question we need to apply concept of division.

what is division ?

Division is kind of mathematical operation where we find out equals parts of a number, by applying it a number can cut into many equal parts. It is opposite to multiplication.

As 60 books occupy 1.4 m of shelf ,

S0, 1 books occupies = 1.4/60 m of shelf

Then, 300 books occupy {(1.4/60)×300} m of shelf=

7m of shelf

Now, 7m=700cm is occupied by 300 books,

So,1cm is occupied by (300/700) books

Then, 84cm is occupied by (300/700)×84 books=36 books.

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The question was incomplete.

Check below the full question.

In a book store,60 books of the same kind occupy 1.4m of shelf length . how much shelf length is required for 300 such books ? if a shelf is 84cm long, how many books are needed to fill the shelf?

a. 7m,36 books
b. 5m,32 books

c. 10m,16 books

d. 3m,9 books

Answer:

13+2=15+2=17+2=19+2=21

1+5=6+5=11+5=16+21

(The Pink Answer)

The simplified expression of the expression given as (y - 3)(y^2 + 9)(y + 3) - (2y^2 - y)^2 - 19 is (y^4 - 81) - (2y^2 - y)^2 - 19

Expressions are mathematical statements that are represented by variables, coefficients and operators

The expression is given as

(y - 3)(y^2 + 9)(y + 3) - (2y^2 - y)^2 - 19

Rewrite the above expression as

(y + 3)(y - 3)(y^2 + 9) - (2y^2 - y)^2 - 19

Apply the difference of two squares formula

So, we have

(y^2 - 9)(y^2 + 9) - (2y^2 - y)^2 - 19

Evaluate the product

So, we have

(y^4 - 81) - (2y^2 - y)^2 - 19

Hence, the simplified expression of the expression given as (y - 3)(y^2 + 9)(y + 3) - (2y^2 - y)^2 - 19 is (y^4 - 81) - (2y^2 - y)^2 - 19

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Answer:

71.5556 but since you cant have half a pizza its only 71

Step-by-step explanation:

The resulting polynomial after subtracting will be -5x² +18x -9

In the given question, we have two polynomials. We have to Subtract (3x-3)² from 4x². Firstly we will have to calculate (3x-3)².

Calculating, (3x-3)²
            => (3x - 3)² = 9x² -18x +9

After evaluating (3x - 3)²  we get 9x² -18x +9.

Subtracting 4x² by 9x² -18x +9 we get:

     => 4x² - (9x² -18x +9)    => 4x² - 9x² +18x -9

     => -5x² + 18x -9

We get a resultant answer after subtracting -5x²  + 18x -9

Hence, the equation after subtracting the two numbers will be

-5x²  + 18x -9

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For a result to be considered significant, the chances of its occurring as a result of random error are often less than 5 percent.

A coincidental discrepancy between the observed and true values of anything is known as a random error (e.g., a researcher misreading a weighing scale records an incorrect measurement).

It's not always a mistake when there is random error; rather, it happens when measurements are made. Even when you measure the same item repeatedly, there will always be some variation in your results because to changes in the environment, the instrument, or your own perceptions.

Your measurements are equally likely to be greater or lower than the genuine values due to random error, which has unexpected effects.

According to the given data,

For a result to be considered significant, the chances of its occurring as a result of random error are often less than 5 percent.

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Answer:

47mph

Step-by-step explanation:

329/7=47

Table with proportionality 2 is table 3

Percussion    string

   1                      2

   2                     4

   3                     6

A proportion is an equation in which two ratios are set equal to each other.

from first table

2/3

4/6=3/2

6/9=3/2

from second table

2/5

4/10=5/2

6/15=5/2

From the third table

2/1=2

4/2=2

6/3=2

and from fourth table

2/4=1/2

4/8=1/2

6/12=1/2

hence, the table with proportionality 2 is table 3.

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Answer:

250% decrease

Step-by-step explanation:

How many times does 100 go into 250. 2.5 times. Thus it is 250%

Answer:

Let the number of equations be x and the number of vocabulary questions be y.

x + y = 26 (total num of questions)So, y = 26 - x (eliminate one variable to solve for one first)2x + 5y = 100 (total points)2x + 5 (26 - x) = 100 (substituting 26 - x in place of y)

2x + 130 - 5x = 100 (distributing the 5)-3x = -30x = 10

Since there are 10 equation questions, there must be 16 vocabulary questions to satisfy the total number of questions in the test

Hope this helps!

Answer:

23˚

Step-by-step explanation:

If x = 10, then angle VYZ = 157 by basic algebra. Knowing that VYZ and WYZ are supplementary angles, we can do 180-157 to find angle WYZ. 180-157 = 23˚