If f(x) = 2(3)^x and g (x) = 25 and h(x) = f(x) + g (x) what's is the equation for h(x)

Answer:

we can conclude that there is significant evidence that there is convincing evidence that the average attention span for teenage boys is more than 5 minutes

Step-by-step explanation:

H0 : μ ≤ 5

H1 : μ > 5

Sample mean, xbar = 6.2

Sample Standard deviation, s = 2.1

Sample size, n = 80

The test statistic :

(xbar - μ) ÷ (s/sqrt(n))

(6.2 - 5) ÷ (2.1 / sqrt(80))

1.2 ÷ 0.2347871

Test statistic = 5.1110133

Testing with α = 0.05

Using Pvalue from a test score calculator :

Pvalue = < 0.00001

0.00001 < 0.05

Since,

Pvalue < α ; We reject H0

Hence, we can conclude that there is significant evidence that there is convincing evidence that the average attention span for teenage boys is more than 5 minutes.

Answer:

156 ft³

Step-by-step explanation:

Volume of the composite solid = volume of the square prism + volume of the square pyramid

Volume of rectangular prism = a²h

a = 6 ft

h = 3 ft

Volume = 6²*3 = 36*3

Volume = 108 ft³

Volume of square pyramid = ⅓(a²*h)

a = 6 ft

h = 4 ft

Volume = ⅓(6²*4) = ⅓(36*4)

Volume = 48 ft³

Volume of the composite solid = 108 + 48 = 156 ft³

Answer:

11.33

Step-by-step explanation:

um I'm not that good at explaining but...

33/3=11

99/3=33

put it together

11.33

Answer: 12

Step-by-step explanation:

There are 108 inches in 9 feet and then you divide 108 by 9

Answer:

7.10 I think its 7.10

Hey there,

First, find the square root of the given equation.

[tex]\sqrt{z}=\sqrt{81(\text{cos}(\frac{4\pi}{9})+i\text{sin}(\frac{4\pi}{9})}\\=9\text{cos}\frac{1}{2}(2k\pi+(\frac{4\pi}{9}))+i\text{sin}\frac{1}{2} (2k\pi+(\frac{4\pi}{9}))[/tex]

Keep in mind that this is solved for k = 0 and 1.

Second, simplify.

[tex]=9\text{cos}(\frac{2\pi}{9})+i\text{sin}(\frac{2\pi}{9})~\text{or}~9\text{cos}(\frac{11\pi}{9})+i\text{sin}(\frac{11\pi}{9})[/tex]

Best of Luck!

The line for the graph x=1 is the line of reflection that reflects triangle ABC onto triangle A'B'C'.

You have to find the middle points between each pair of identical points and then join them.

The solution is, x = 1 will be the line of reflection.

In mathematics, a reflection (also spelled reflexion) is a mapping from a Euclidean space to itself that is an isometry with a hyper plane as a set of fixed.

here, we have,

from the given information , we get,

Coordinates of the vertex A → (-4, -6)

Coordinates of the vertex A' → (6, 6)

Since, y-coordinates are same opposite in notation,

Therefore, by the rule of reflection, line of reflection will be a line parallel to y-axis.

And points A and A' will be equidistant from the line of reflection.

Midpoint between A and A' = (x1+x2/2) , (y1+y2/2)

                                             = (-4+6 / 2 , -6+6 /2)

                                             = (1, 0)

Therefore, x = 1 will be the line of reflection.

To learn more on reflection click:

brainly.com/question/15487308

#SPJ2

Answer: 12

Step-by-step explanation:

Answer:

$34,240

Step-by-step explanation:

7% of $32,000 is $2,240

$32,000+$2,240=$34,240

Step-by-step explanation:

for the first one multiply the equation by 5

5(-10)=5(1/5)a

-50=a

2.  3(n-8)=-12

divide the equation by 3

(3(n-8))/3=-12/3

(n-8)=-4

add 8 to both sides

n-8+8=-4+8

n=4

3.   8+4x=-16

subtract the whole equation by 8

-8+4x=-16-8

4x=-24

divide the equation by 4

4x/4=-24/4

x=-6

4. 4 chicken sandwiches at $2.50 each, to find the value of all the values for all 4 sandwiches is 4(2.50)=10

and since there is only one hamburger you just need to find the value for the one burger which is x.

4(2.50)+1(x)=14.30

10+x=14.30

subtract the equation by 10

10-10+x=14.30-10

x=4.30

Hope this helps :)

Answer:

thanks Thankyou for points ty ty

Answer:

7()=11

8()=42

I could barely see the answer for number 9 sorry :(

Step-by-step explanation:

the 7() is 2(3)+5

2(3)=6

6+5=11

Question (8)

c^2+3a x b

c(6)^2+ 3(3) x 2/3

36+9 x 2/3

36+6=42

Answer:

(7)=11

(8)=42

Step-by-step explanation:

here

Answer:   y = 2x - 3/4

Step-by-step explanation:

y = mx + b where m is the slope, and b is the y-intercept.

y = 2x - 3/4

Answer:

x = - 5, y = - 1

Step-by-step explanation:

Given the 2 equations

- 5x + 3y = 22 → (1)

- 6x + 7y = 23 → (2)

Multiplying (1) by - 6 and (2) by 5 , then adding will eliminate the x- term

30x - 18y = - 132 → (3)

- 30x + 35y = 115 → (4)

Add (3) and (4) term by term to eliminate x

0 + 17y = - 17

17y = - 17 ( divide both sides by 17 )

y = - 1

Substitute y = - 1 into either of the 2 equations and solve for x

Substituting into (1)

- 5x + 3(- 1) = 22

- 5x - 3 = 22 ( add 3 to both sides )

- 5x = 25 ( divide both sides by - 5 )

x = - 5

Answer:

560/9 or around 63 cubes

Step-by-step explanation:

2 2/3 -> 8/3

3 1/3 -> 10/3

2 1/3-> 7/3

7/3 x 8/3= 56/9

56/9 x 10/3 = 560/27

560/27 divided by 1/3

= 560/9

Answer:

total sky divers is 25

Step-by-step explanation:

60% = 15 skydivers

divide by 6 both sides

10% = 2.5

times by 4 both sides

40%=10

_________

60%+40%=100%

15+10=25

Answer: 10

Step-by-step explanation:

2.5 times 4

Answer:

The answer is answer D, x=42.

Step-by-step explanation:

To isolate the variable, you need to divide both sides of the equation by three, using the division property of equality. 126/3=42 , and 3x/3=x , this gives you 42=x, or x=42, meaning the answer is D.

Find the stationary points.

f(x) = x + 16/x

f '(x) = 1 - 16/x ²

Solve f '(x) = 0.

1 - 16/x ² = 0   →   x ² = 16   →   (x - 4) (x + 4) = 0

→   x = -4, x = 4

Check the value of f at the stationary points. x = -4 is not in the provided domain so we can omit it.

f (4) = 8

Check the value of f at the boundary of the domain.

f (0.2) = 401/5 = 80.2

f (16) = 17

Then over [0.2, 16], we have max(f ) = 401/5 and min(f ) = 8.

Answer:

C

Step-by-step explanation:

The cost of 5 notebooks (5x)

Less than (<)

The cost of 3 notebooks (3x)

Plus a 2 dollar pen (2)

All together: 5x < 3x + 2

Matches with the given expression.

Answer:

-60

Step-by-step explanation:

-45+s=-105

s=-105+45

s=-60

Answer:

[tex]AC = \frac{20}{3}[/tex]

Step-by-step explanation:

Given

[tex]AB = 4[/tex]

[tex]XY = 3[/tex]

[tex]XZ = 5[/tex]

Required

Find AC

ABC XYZ

To solve AC, we make use of the following equivalent ratios.

[tex]AB : AC = XY : XZ[/tex]

This gives:

[tex]4 : AC = 3 : 5[/tex]

Express as fraction

[tex]\frac{4 }{ AC }= \frac{3 }{ 5}[/tex]

Cross multiply

[tex]3 * AC = 4 * 5[/tex]

[tex]3 * AC = 20[/tex]

Solve for AC

[tex]AC = \frac{20}{3}[/tex]

9514 1404 393

Answer:

  A)  3x +10y = 36

Step-by-step explanation:

The graph tells us the x-intercept is 12. The x-intercept is the value of x when y = 0. For some equation coefficients ax+by=36, the x-intercept is ...

  x-intercept = 36/a

Then the coefficient 'a' is ...

  a = 36/(x-intercept) = 36/12 = 3

Only one answer choice has an x-coefficient of 3 -- the correct one.

  3x +10y = 36

Answer: -11

Step-by-step explanation:

4(-2)-3

-8-3

=-11

Answer:

I believe the answer is B

Step-by-step explanation:

Work for E and F- 20/50=20X2=40                40 divided by 100 is 40%

                                          50X2=100               and 40/100

Answer:

132.67 ft^2

Step-by-step explanation:

this sector's area equals the area of the whole circle divided by four;

the whole are = r x r x 3.14 = 13 x 13 x 3.14 = 530.66

the sector's area = 530.66/4 = 132.67 ft^2