Given f:x →x^2 +1 and another function g such that fg :x + x² + 4x +5.
Find the function of g.

Answer:

y = x + 1

Step-by-step explanation:

(3, 4); m = 1

Slope-intercept:

y - y1 = m(x - x1)

y - 4 = 1(x - 3)

y - 4 = x - 3

y = x - 3 + 4

y = x + 1

Answer:

the interest received is $957.03

Step-by-step explanation:

Given that

The invested amount is $10,000

There is 18 months

And, the interest rate is 6.25%

= (($10,000 × (1 + 6.25% ) × 0.0625  × 6 months ÷ 12 months)) + ($10,000 × 6.25%)

= $332.03 + $625

= $957.03

Hence, the interest received is $957.03

Answer:

a=π9² is the formula with the radius plugged in

radius is half

Answer:

243in^2

Step-by-step explanation:

18/2=9

3 x 9 x 9=243

Answer:

14. 9²

15. 10²

Step-by-step explanation:

----------------------

Answer:

63

Step-by-step explanation:

The formula to when given the number of standard deviations below the mean x =μ - nσ

Where:

x = raw score

μ is the population mean = 75

σ is the population standard deviation = 8.

n = number of standard deviations below the mean

Hence

x = 75 - 1.5 × 8

x = 75 - 12

x = 63

Therefore, Andrey's exam score is 63

Answer:

8m

Hope this answers the question. Have a nice day.

Answer:

2.1 pounds

Step-by-step explanation:

Given that :

Number of baseballs = 7

Weight of each baseball = 0.3 pounds

1 block = 0.1 pounds

Hence, each ball will represent 0.3 / 0.1 = 3 blocks

Hence, 3 blocks = 1 ball

7 balls will be : 3 * 7 = 21 blocks

Recall:

1 block = 0.1

Hence, 0.1 * 21 = 2.1

Therefore, the weight of the 7 balls = 2.1 pounds

Answer: 1/6

Step-by-step explanation:

Answer: 1/6

Step-by-step explanation:

3 red

5 blue

2 black

10 total

pick a red pen first: 3/10

pick a blue pen next: 5/9

3/10*5/9 = 15/90 or 1/6

Answer:

Use this formula

[tex] \frac{4}{3} \pi \times {r}^{3}[/tex]

Answer will be option A

Process:

V= [tex] \frac{4}{3} \pi \times {r}^{3}[/tex]

   = 4/3 *[tex]\pi }[/tex]*[tex]8^{3}[/tex]

   =[tex]\frac{2048\pi }{3}[/tex]

   =2144.66[tex]m^{3}[/tex]

Answer:

A. 25 cm^3.

Step-by-step explanation:

Volume = 1/3 * area of base * perpendicular height,

= 1/3 * 5^2 * 3

= 5^3

= 25.

The correct option is A. Volume of the pyramid is 25 cm³ which is option A.

What is the volume of the pyramid?

The volume of a pyramid is given by lbh/3. It is also given by the product of the base area and height of the pyramid and then divided by 3.

The base of the pyramid is in the form of a square as all sides are 5 cm. Find the area of the square that is the base area.

5×5=25 cm²

Now multiply 25 by the height of the pyramid which is 3 cm.

25×3=75 cm³

Divide 75 by 3 to find the volume of the pyramid.

75÷3=25 cm³

Thus, the volume of the pyramid is 25 cm³ which is option A.

Learn more about the volume of the pyramid at https://brainly.com/question/17615619

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Answer:

the probability the octahedron will land on A is 3/8

the probability the octahedron will land on B is 1/8

the probability the octahedron will land on C is 4/8 or 1/2

Step by Step explanation:

All u have to do to figure this out is to first count the total amount of letters and in this case there are 8. To find the probability of a specific letter, you have to count how many of that letter there is in the total of 8. For example the letter A's probability is 3/8 since there are 3 A's and 8 letters in total.

hope this helps!!

Answer:

A boat travels a certain distance upstream in 5 hours and the same distance downstream in 3 hours. If the speed of the boat is 18 mph, what is the speed of the current (in mph)?

Step-by-step explanation:

Answer:

A. 90

Step-by-step explanation:

It says the scale is 1:6, so we can multiply 15 square cm to, 15 x 6 = 90 square cm!

Hope this Helps! :)

Answer:

A. 90 square cm

Step-by-step explanation:

The scale factor is 1:6

So the scale drawing on the left is the 1.

The object on the right is 6.

The area of the scale drawing is 15 square cm. If we multiply that by 6, we get answer A. 90 square cm.

Answer:

8

Step-by-step explanation:

1/4 x 4/10 x 80/1 = 320/40 which is 8

Answer:

Each Towel is 4.95 each

Step-by-step explanation:

We can use 8t = 39.60 as our equation

8t = 39.60

Divide 8 on both sides.

t = 4.95

Hope this helps! ^^

Answer:

4x + 31 = 154

9x + 31 = 154

Step-by-step explanation:

$154 total

31 candles

4x + 31 = 154 <-- this is to find out how many small candles can be bought

9x + 31 = 154 <-- this is to find out how many large candles can be bought

I'm pretty sure these equations work! :)

After that its just simple math!! :)

Answer:

2x-2 = 23

2x = 25

x=25/2 = 12.5

Step-by-step explanation:

Answer:

A.  50

Step-by-step explanation:

< A and < D  are both subtended on the circumference by the chord  CB.

The measure of angle d is [tex]50^{0}[/tex].

An angle at the circumference of a circle is half the angle at the center standing on the same arc.

Two angles at the circumference standing on the same arc are equal.

According to the given figure

Circumferential angles are ∠CDB and ∠CAB.

And we have to find the measue of angle d i.e. ∠CDB.

Since, the angles of circumference corresponding the same arc are equal.

Here, ∠CAB and ∠CDB are the circumferential angles corresponding to arc.

Therefore,

m ∠CDB = ∠CAB = [tex]50^{0}[/tex]

⇒ d = m ∠CDB = [tex]50^{0}[/tex].

Hence, the measure of angle d is [tex]50^{0}[/tex].

Find out more information about circumference angle of circle here

brainly.com/question/23247585

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Answer: [tex]\dfrac{16}{9}\ s[/tex]

Step-by-step explanation:

Given

[tex]s(t)=-t^3+2t^2+\frac{3}{2}[/tex]

Average velocity is given by

[tex]v_{avg}=\dfrac{\int vdt}{\int dt}[/tex]

[tex]v_{avg}=\dfrac{-\frac{t^4}{4}+\frac{2}{3}t^3+1.5t}{t}\\\\v_{avg}=-\frac{t^3}{4}+\frac{2}{3}t^2+1.5[/tex]

Now, equate the average and instantaneous velocity

[tex]-\frac{t^3}{4}+\frac{2}{3}t^2+1.5=-t^3+2t^2+1.5\\\\\Rightarrow -\dfrac{3t^3}{4}+\dfrac{4t^2}{3}=0\\\\\Rightarrow t^2\left(-\dfrac{3}{4}t+\dfrac{4}{3}\right)=0\\\\\Rightarrow t=\dfrac{16}{9}\ s[/tex]

Answer:

.01*.5ˣ

Step-by-step explanation:

we can see that x=0 y= .01

so in our equation

a*bˣ

a=.01

This is throuhg plugging in 0 for x

a*b⁰=.01

a*1=.01

a=.01

Now it's just a matter of finding b

to do this just plug in a value

we know that when x=1 y=.005

.01*b¹=.005

b= .5

So our final equation is :  .01*.5ˣ

The required value of x is 4.

Answer:

n=1/6

Add the numbers

1

−

4

+

1

6

−

6

4

=

9

{\color{#c92786}{1}}{\color{#c92786}{-4}}+{\color{#c92786}{16}}-64n=9

1−4+16−64n=9

1

3

−

6

4

=

9

{\color{#c92786}{13}}-64n=9

13−64n=9

2

Rearrange terms

1

3

−

6

4

=

9

{\color{#c92786}{13-64n}}=9

13−64n=9

−

6

4

+

1

3

=

9

{\color{#c92786}{-64n+13}}=9

−64n+13=9

3

Subtract  

1

3

13

13

from both sides of the equation

−

6

4

+

1

3

=

9

-64n+13=9

−64n+13=9

−

6

4

+

1

3

−

1

3

=

9

−

1

3

-64n+13{\color{#c92786}{-13}}=9{\color{#c92786}{-13}}

−64n+13−13=9−13

4

Simplify

Subtract the numbers

Subtract the numbers

−

6

4

=

−

4

-64n=-4

−64n=−4

5

Divide both sides of the equation by the same term

−

6

4

=

−

4

-64n=-4

−64n=−4

−

6

4

−

6

4

=

−

4

−

6

4

\frac{-64n}{{\color{#c92786}{-64}}}=\frac{-4}{{\color{#c92786}{-64}}}

−64−64n​=−64−4​

6

Simplify

Cancel terms that are in both the numerator and denominator

Divide the numbers

=

1

1

6

Answer:

240

Step-by-step explanation:

Its kinda hard because I dont know the shape of which is width or height or legnth

Answer:

(Xm, Ym) = [ x1+x2/2, y1 + y2/2]

Given (6,3) (-3,-7)

x1 y1 x2 y2

Step-by-step explanation:

(Xm,Ym) =[ 6-3/2, 3-7/4]

= [ 3/2, -1]

Answer:

3.2 x 10^13

Step-by-step explanation:

(8x10^4)(4x10^8)

reorder the terms using the commutative property

(8x4)x(10^4x10^8)

multiply

32x (10^4 x 10^8)

= 32 x 10^4+8

= 32 x 10^12

now convert to scientific notation

=3.2 x 10^13

Answer:

1/4

Step-by-step explanation:

1/2 x 1/2