erza is training for a track race. He starts by sprinting 100 yards. he gradually increases his distance, adding 5 yards a day for 21 days. Which explicit formula models this situation? A. an=100 + (n-1)21 B. an=100 + (n-1)5 C. an=5 + (n-1)100 D. an=21 + (n-1)5

Answer:

f(x) = √7x

g(x) = 1/x -8

To find the domain of f º g we must first find f o g(x)

To find f o g(x) wherever you see x in f(x) replace it by g(x)

That's

f o g = √7(1/x-8)

= √7 / √x - 8

To find the domain equate the denominator to zero

That's

√x - 8 = 0

Square both sides

(√x - 8)² = 0²

x - 8 = 0

x = 8

The domain of f o g is x E R except 8

Hope this helps

Answer:

$105

Step-by-step explanation:

150 times 0.7 is equal to 70% of 150

70% of 150 is 105

105 is the reduced price

Answer:

Step-by-step explanation:

Using the graph we can notice something

let's take the abscissa  -2 and -4

so we can say that :

f(-4)=g(-2)

wait we khow that g(x)=f(k*x)

so x= -2 then let's replace it in the expression : f(k*x)

we get f(-4)=g(-2)=f[k*(-2)]

let's solve the equation: -2k = -4

                                               k = -4/-2

                                                k=2

so finally we get k=2

let's check :

from the graph we get :

we have (-1)*2 = -2

so it is true

option B gives the distance between the points.

Answer:

Option B

Step-by-step explanation:

The coordinates are (1,-2) and (2,4)

Distance Formula = [tex]\sqrt{(x2-x1)^2+(y2-y1)^2}[/tex]

D = [tex]\sqrt{(1-2)^2+(-2-4)^2}[/tex]

Answer:

90m

Step-by-step explanation:

Answer:No, every whole number is not a solution of x > 0 because the whole numbers include 0. The solution set of x > 0 does not include 0. So, 0, which is a whole number, is not a solution of x > 0.

Step-by-step explanation:

No, Is it not true that every whole number is a solution of x > 0.

A relation by which we can compare two or more mathematical expression is called an inequality.

We have to given that;

To check, Is it true that every whole number is a solution of x > 0.

Now, We know that;

Every whole number is a solution of x ≥ 0.

That is, Zero is include in the whole numbers.

Therefore, Is it not true that every whole number is a solution of x > 0.

Learn more about the inequality visit:

https://brainly.com/question/25944814

#SPJ3

Answer:

[tex]Probability = \frac{6}{29}[/tex]

Step-by-step explanation:

Given

------------------------------Has a brother | Does not have a brother

Has a sister --------------------------- 6 ----------------- 8

Does not have a sister  -----------2 ------------------ 13

Required

Probability of having a sister and a brother

First, the total number of students has to be calculated;

Total = 6 + 2+ 8 + 13

Total = 29

Number of students that have a sister and a brother is represented with data in row 1 and column 1 i.e. 6

At this point, the probability can then be calculated;

Probability = Number of students that have a sister and a brother divided by Total number of students

[tex]Probability = \frac{6}{29}[/tex]

Answer:

The last choice, the graph.

Step-by-step explanation:

The 4 relations are:

A.

A set of ordered pairs.

This is not a function because 2 ordered pairs have the same x-coordinate, 1.

B.

Table.

All ordered pairs have 0 as the x-coordinate. Since the same x-coordinate appears more than once, it is not a function.

C.

x = 3y^2 - 7

This is a function of y, and it is a horizontal parabola, so it does not pass the vertical line test. It is not a function.

D.

The graph.

This is a function because it passes the vertical line test.

Answer: The last choice, the graph.

Answer: D the graph ! ;)))))

I hope you all get good grades !

Step-by-step explanation:

Plz mark brain list!

Answer:

A = 225 pi cm^2

Using 3.14 for pi

A =706.5 cm^2

Using the pi button for pi

A =706.8583471 cm^2

Step-by-step explanation:

The area of a circle is

A = pi r^2

A = pi (15)^2

A = 225 pi cm^2

Using 3.14 for pi

A =706.5 cm^2

Using the pi button for pi

A =706.8583471 cm^2

Answer:

225π cm^2, 706.5 cm^2, 706.858... cm^2

Step-by-step explanation:

The area of a circle can be found using the following equation:

[tex]a=\pi r^2[/tex]

We know the radius is 15 cm, so we can substitute 15 cm in for r.

[tex]a=\pi (15cm)^2[/tex]

1. In terms of pi

To find the area in terms of pi, evaluate everything possible without multiplying by pi.

Evaluate the exponent.

[tex]a=\pi (15cm)^2[/tex]

15cm^2= 15 cm * 15 cm = 225 cm^2

[tex]a=\pi * 225 cm^2[/tex]

This can be rewritten as:

[tex]a=225\pi cm^2[/tex]

2. Using 3.14 for pi

Substitute 3.14 in for pi.

[tex]a=\pi (15cm)^2[/tex]

[tex]a=3.14*(15cm)^2[/tex]

[tex]a=3.14*225 cm^2[/tex]

Multiply

[tex]a=706.5 cm^2[/tex]

3. Using 3.14159265.... as pi

[tex]a=\pi (15cm)^2[/tex]

[tex]a=\pi *225 cm^2[/tex]

Multiply, using the pi button on a calculator

[tex]a=706.858346 cm^2[/tex]

Answer: 3

Step-by-step explanation:

Pretend A is just three, B is just 4, and C is just 5.

3(3)-4(4)+2(5)

9-4(4)+2(5)

9-16+2(5)

9-16+10

-7+10

3

Answer: +3

Explanation: Start by plugging in the appropriate values for a, b, and c.

You might also want to change the -4b

to plus a negative 4b to avoid confusion.

Also, use parenthses when substituting numbers in for variables.

So we have 3(3) + -4(4) + 2(5).

Once you have plugged in your numbers, first multiply,

and then add from left to right.

So we have (9) + (-16) + (10).

Now add to get (-7) + (10) which is +3.

Answer:

first answer is correct

Step-by-step explanation:

hello

as we can write

[tex]x^2-1=(x-1)(x+1)\\[/tex]

the least common denominator is

x(x-1)(x+1)

hope this helps

Answer:

x + 1

x - 1

x

Step-by-step explanation:

The denominators are as follows.

(x - 1)

x^2 - 1

x

=====

The second denominator is actually made of two factors.

x^2 - 1 =(x + 1)(x - 1)

So the least common denominator is

x + 1

x - 1

x

You do not count the x - 1 twice.

Answer:

B - A = 2

Step-by-step explanation:

Recall that parallel lines have the same slope.  Thus, line Ax + By = 3, parallel to x + 3y = -5, has the form x + 3y = C.  This latter line passes through the point (-7, 2), and so             -7 + 3(2) = C must be true.  Then -7 + 6 = C, and C = -1.  

In both equations A = 1 and B = 3.  Thus, B - A = 3 - 1, or B - A = 2

Answer:

[tex]x^{\frac{5}{6}}/x^{\frac{1}{6}} = \sqrt[3]{x^2}[/tex]

Step-by-step explanation:

Given

[tex]x^{\frac{5}{6}}/x^{\frac{1}{6}}[/tex]

Required

Rewrite in simplest radical form

Using laws of indices:

[tex]a^m/a^n = a^{m-n}[/tex]

This implies that

[tex]x^{\frac{5}{6}}/x^{\frac{1}{6}} = x^{\frac{5}{6} - \frac{1}{6}}[/tex]

Solve Exponents

[tex]x^{\frac{5}{6}}/x^{\frac{1}{6}} = x^{\frac{5 - 1}{6} }[/tex]

[tex]x^{\frac{5}{6}}/x^{\frac{1}{6}} = x^{\frac{4}{6} }[/tex]

Simplify exponent to lowest fraction

[tex]x^{\frac{5}{6}}/x^{\frac{1}{6}} = x^{\frac{2}{3} }[/tex]

Using laws of indices:

[tex]a^{\frac{m}{n}} = \sqrt[n]{a^m}[/tex]

This implies that

[tex]x^{\frac{5}{6}}/x^{\frac{1}{6}} = \sqrt[3]{x^2}[/tex]

This is as far as the expression can be simplified

Answer:

he have 40 pencils because it's need to double it.

Answer:

4 pencils

Step-by-step explanation:

17-5=12

12÷3=4

Answer:

The distance time graph shows the velocity with which Brianna traveled.

From t= 0 to t = 6:

For every 2 minutes, distance increase by one miles. She covers 3 miles in 6 minutes.

So the velocity is given by:

velocity = change of distance/ change of time

velocity = 3/6

velocity = 0.5 miles/minutes

From t=6 to t=10

As there is no change in distance, the velocity of the object is 0, it means Brianna is stationary from t=6 to t=10

From t=10 to t=16

Distance covered = 7 miles - 3 miles = 4 miles

Time taken = 16 - 10  = 6 minutes

Velocity = 0.67 miles/minutes

Answer:Brianna left home and drove 3 miles in 6 minutes. She then stopped for 4 minutes to pick up coffee. Finally, she traveled the last 4 miles in 6 minutes to arrive at her babysitting job.

Answer:

x = ± 2[tex]\sqrt{6}[/tex]

Step-by-step explanation:

Given

x² = 24 ( take the square root of both sides )

x = ± [tex]\sqrt{24}[/tex] = ± [tex]\sqrt{4(6)}[/tex] = ± [tex]\sqrt{4}[/tex] × [tex]\sqrt{6}[/tex] = ± 2[tex]\sqrt{6}[/tex]

Answer:

x>=16

Step-by-step explanation:

Let's subtract 17 from each side!

17 + x>=33

-17          -17

This gets us x>=16

Answer: B.

x≥16

Step-by-step explanation:

17+≥33

subtract 17 on both sides

x≥16

Answer:

a = 95

Step-by-step explanation:

a+ 35+ 50 = 180

Combine like terms

a+ 85 = 180

Subtract 85 from each side

a+85-85 = 180-85

a = 95

Hey there! :)

Answer:

r = 105.

Step-by-step explanation:

In the quadratic formula, √r = [tex]{\sqrt{b^{2}-4ac }[/tex]

Where a = 1, b = -9, and c = -6. Therefore:

√r = √(-9)² - 4(1)(-6)

√r = √81 -4(-6)

√r = √81 + 24

√r = √105

Therefore, r = 105.

Answer:

centre = (-5, -4)

radius = 7.42

Step-by-step explanation:

The general form for center-radius is

(x - h)² + (y - k)²= r²

Center = (h, k)

Radius = r

Rearrange the equation.

(x² + 10x) + (y² + 8y) - 14 = 0

Add 14 on both sides.

(x² + 10x) + (y² + 8y) = 14

(10/2)² = 25

(8/2)² = 16

Add 25 and 16 to both sides.

(x² + 10x + 25) + (y² + 8y + 16) = 14 + 25 + 16

Factor left side of the equation.

(x+5)² + (x+4)² = 55

(55) = (7.416198)²

(x+5)² + (x+4)² = 7.42²

The radius is 7.42.

The centre is at (-5, -4).

Answer:

Step-by-step explanation:

Answer A is correct.  Note that (6/5)(35) = 42 (side DG).

Answer:

10

Step-by-step explanation:

3/5 is 0.6 and 10 time 0.6 is 6.

hope this helps

Answer:

q = 18 ?

Step-by-step explanation:

This is not a complete question but ill give it a shot!

If we are following a pattern then we see q is 11 more than r.

So we do 11 + r (7) to get 18!

mark as brainliest

Answer:

$23????? You just add both of the amounts you borrowed

Answer:

the answer is 1

Step-by-step explanation:

you convert 1/2 to a decimal, 0.5, then subtract. 0.75 and 0.25 to get 0.5, and when you add those two it equals one.

Answer:

It would equal 1

Step-by-step explanation:

Convert 1/2 to 0.5 then it would be easier to solve.

0.75-0.25=0.5

0.5+0.5=1

Hope this helps!

Answer:

Choice D 7/26

Step-by-step explanation:

So first let's count how many face cards there are. We have a Jack, a Queen, and a King in all of the 4 sets of cards. This knowledge tells us that we have 12 face cards out of the 52 cards.  Then, we have 2 red sixes in the game.  These come from the 6 of hearts and the 6 of diamonds.  This makes the new total of the cards we want to draw 12+2=14. Then we now have the fraction 14/52.  After simplifying we get the answer 7/26 is our probability (choice D)

Answer:

7/26

Step-by-step explanation:

52 cards

Jacks , queens, kings are face cards =

3 per suit *4 suits = 12 cards

2 red sixes = 2

P (red 6 or face cards ) = red 6 or face cards / total

                                    = (12+2) / 52

                                     = 14/52

                                     = 7/26

Answer:

5.83 units

Step-by-step explanation:

Given is a right angled triangle.

Length of base = 2 - (-3) = 2+ 3 = 5 units

Height = 4 - 1 = 3 units

By Pythagorean theorem:

[tex]RS = \sqrt{ {5}^{2} + {3}^{2} } \\ = \sqrt{25 + 9} \\ = \sqrt{34} \\ = 5.83095189 \\ = 5.83\: units[/tex]

Answer:

15/3 = v/7 can be a true proportion.

Step-by-step explanation:

v is a variable, which means that technically any number can be put inside.

In this case, however, when you are solving for v, the numerator must be proportional to the denominator.

In the case of the question, the questioner multiplied ~2.33 to the denominator. Do the same to the numerator:

15 x 2.33 = ~34.95

If the variable v is ~34.95, then it is a true proportion.