Mathematics College

g(x)=1/6(8)^x-5. x=9​

Answers

Answer 1

Answer:

[tex]g(9) = \frac{2048}{3}[/tex]

Step-by-step explanation:

Given

[tex]g(x) = \frac{1}{6}(8)^{x-5}[/tex]

[tex]x = 9[/tex]

Required

Solve

Substitute 9 for x in [tex]g(x) = \frac{1}{6}(8)^{x-5}[/tex]

[tex]g(9) = \frac{1}{6}(8)^{9-5}[/tex]

[tex]g(9) = \frac{1}{6}(8)^{4}[/tex]

Remove bracket

[tex]g(9) = \frac{1}{6}* 8^4[/tex]

[tex]g(9) = \frac{1}{6}* 4096[/tex]

[tex]g(9) = \frac{1* 4096}{6}[/tex]

[tex]g(9) = \frac{4096}{6}[/tex]

Simplify fraction

[tex]g(9) = \frac{2048}{3}[/tex]

Related Questions

Write a expression with the same meaning as the sum of 3 and the quotient of a number divided by 6

Answers

3+n/6
Sum is adding so
3+
and the quotient ( so division)
n( divided by) 6
n/6
3+n/6

Solve V=1/3πr² for h

Answers

the answer is h= 3V/πr²

A pair of jeans is marked down at 25% off the original price. The original price of
the jeans was $68.50. What is the price of the jeans before sales tax?

Answers

Answer:

$51.38

Step-by-step explanation:

1 - .25 = .75

you're paying 75% of the price

68.50 • .75 = 51.375 ≈ $51.38

Help me pleaseeeeeeeeeeeeee

Answers

I had this and it was b for me

Determine if the lines are parallel, perpendicular or neither: x = 5 and x = -2

Answers

Not enough info so neither.

Given the function f(x) =2x+5 what would the output be with an input of 6?

Answers

The output would be 17

PLEASE HELPPP MEE !!

Answers

Answer:

that box in the corner of the angle represents 90°

90° is also known as a right angle

Subtract 90° from 37°.

You should come up with 53°.

According to a posting on a website subsequent to the death of a child who bit into a peanut, a certain study found that 4% of children younger than 18 in the United States have at least one food allergy. Among those with food allergies, about 43% had a history of severe reaction. (a) If a child younger than 18 is randomly selected, what is the probability that he or she has at least one food allergy and a history of severe reaction

Answers

Answer:

0.0172 = 1.72% probability that he or she has at least one food allergy and a history of severe reaction

Step-by-step explanation:

We are given these following probabilities:

4% probability of that a child younger than 18 in the United States has at least one food allergy.

If a child has at least one food allergy, 43% probability of having a history of severe reaction.

If a child younger than 18 is randomly selected, what is the probability that he or she has at least one food allergy and a history of severe reaction

The multiplication of the probabilities. So

0.04*0.43 = 0.0172

0.0172 = 1.72% probability that he or she has at least one food allergy and a history of severe reaction

10 Determine the area of the figure. 9 cm 6 cm 12 cm​

Answers

Answer:

Area= 648

Step-by-step explanation:

Area formula: L times W times H

9 times 6 times 12        :)

When the length, width, and the height is given so the area of the figure is considered to be 648.

Calculation of an area:

Since the length is 9cm

The width be 6 cm

And, the height is 12 cm

So, the area be like

= (9) (6) (12)

= 648

Hence, When the length, width, and the height is given so the area of the figure is considered to be 648.

Learn more about an area here: https://brainly.com/question/20882229

CAN SOMEONE PLEASE HELP ME?

Solve the equation: (5x+1/2)^2=9/16

Answers

Answer:

x=-7/160

Step-by-step explanation:

BEG is a triangle ABC and DEF are parallel lines workout the size of angle x

Answers

Answer:

Step-by-step explanation:

Here the answer

Answer:

Angle X i belive is a right angle

A marathon race participant walks at a rate of 2.5 miles per hour and runs at a rate of 5 miles per hour. The combined distance that the marathon race participant walks and runs is 12.5 miles. Write a linear equation in standard form that models this situation.

Answers

Answer:

2.5x + 5y = 12.5

Step-by-step explanation:

The solution is 2.5x + 5y = 12.5

The equation representing the total distance by the participant who runs and walks is given by 2.5x + 5y = 12.5 where x is the time required to walk and y is the time required to run

What is an Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the equation be represented as A

Now , the value of A is given by

The total distance ran by the marathon participant = 12.5 miles

Let the time taken by the participant to walk be = x

Let the time taken by the participant to run be = y

Now , the speed of the participant when walking = 2.5 miles per hour

The speed of the participant when running = 5 miles per hour

So , the equation will be

The distance traveled when walking = speed of the participant when walking x time taken by the participant to walk

Substituting the values in the equation , we get

The distance traveled when walking = 2.5x

And ,

The distance traveled when running = speed of the participant when running x time taken by the participant to run

Substituting the values in the equation , we get

The distance traveled when running = 5y

Now ,

The total distance ran by the marathon participant = The distance traveled when walking + The distance traveled when running

Substituting the values in the equation , we get

2.5x + 5y = 12.5

Therefore , the equation will be 2.5x + 5y = 12.5

Hence ,  the equation is 2.5x + 5y = 12.5 where x is the time required to walk and y is the time required to run

To learn more about equations click :

https://brainly.com/question/19297665

#SPJ2

Picture question middle school math

Answers

Answer:

[tex] \huge \: b) \: 59 \: i {n}^{2} [/tex]

Step-by-step explanation:

to understand thisyou need to know aboutarea of trianglesarea of rectanglePEMDAStips and formulas:rectangle opposite sides are equalarea of rectangle:l×warea of triangle:½×h×blet's solve:

the area of the rectangle is

4×7 in²

28 in²

the area of above triangle is

½×6×7 in²

3×7 in²

21 in²

the area of left side triangle is

½×5×4 in²

2×5 in²

10 in²

therefore,

the area of the polygon is

28+21+10 in²

59 in²

In a right triangle, the hypotenuse has endpoints XY, shown on the graph.

On a coordinate plane, line X Y has points (negative 4, 2), (negative 1, negative 3).

If Z represents the third vertex in the triangle and is located in the second quadrant with integer coordinates, what is the length of YZ?
3
4
5
6

Answers

YZ would be negative 4 to a 2

9514 1404 393

Answer:

  5

Step-by-step explanation:

A graph can be helpful. It shows possible integer coordinates of Z could be ...

  (-1, 2) or (-5, 1)

These have distances 5 and 4√2 from Y, respectively. Of these, only the length YZ = 5 appears on your list of possible answers.

__

The hypotenuse of a right triangle is the diameter of the circumcircle. That is, the right angle vertex (Z) appears on a circle whose center is the midpoint of the hypotenuse. Here, that circle center is C = (-4-1, 2-3)/2 = (-5/2, -1/2). The given point Y differs from this by C - Y = (-5/2 -(-1), -1/2 -(-3)) = (-3/2, 5/2). So, a point with integer coordinates will be 2×(5/2) = 5 units above point Y, which puts it in the 2nd quadrant.

__

Adding any of the 8 combinations (±3/2, ±5/2) or (±5/2, ±3/2) to the circle center coordinates will result in integer coordinates for the right angle vertex. Of these, only the ones listed above are in the second quadrant. A couple are on the y-axis, and two of the possibilities are X and Y. The other two are in the third quadrant.

find the lenght of thir side if neccesary round to the nearest tenth 12 5

Answers

Answer:

13.416 or 13.4

Step-by-step explanation:

Help help help help help

Answers

Answer:

B) 7.5% decrease

Step-by-step explanation:

(11,100 - 12,000) / 12,000 = -9/120 or -3/40, which is -0.075

B. 7.5% decreased would do it

1. Select all equations that are equivalent to (5x+6) over 2 =3-(4x + 12). A5+6= 3 - (4x + 12) (5x+6) B. 2 = -4x -9 c. x+3 = 3 – (4x + 12) (5x+6) = -4x + 15 2 E. 5x + 6 = -8x – 18​

Answers

Answer:

Only option E is equivalent to [tex]5x+6=-8x-18[/tex].

Step-by-step explanation:

Given the expression

(5x+6) over 2 = 3-(4x + 12)

Let us simplify the expression

[tex]\frac{\left(5x+6\right)}{2}=3-\left(4x+12\right)[/tex]

Multiply both sides by 2

[tex]\frac{5x+6}{2}\cdot \:2=3\cdot \:2-\left(4x+12\right)\cdot \:2[/tex]

[tex]5x+6=6-\left(4x+12\right)\cdot \:2[/tex]

Expand -(4x + 12) = -4x - 12

[tex]5x+6=-8x-18[/tex]

Thus, option E is equivalent to [tex]5x+6=-8x-18[/tex].

Further solving

[tex]5x+6=-8x-18[/tex]

Add 8x from to both sides

[tex]5x+8x=-8x-24+8x[/tex]

Simplify

[tex]13x=-24[/tex]

Divide both sides

[tex]\frac{13x}{13}=\frac{-24}{13}[/tex]

Simplify

[tex]x=-\frac{24}{13}[/tex]

Thus, only option E is equivalent to [tex]5x+6=-8x-18[/tex].

Answer:

E. 5x + 6 = -8x – 18​

Step-by-step explanation:

Hope this will help

5.4(24 - 3.88x)
expression

Answers

The answer is 129.6 - 20.952x

APQR is similar to AXYZ.
What is the length of XZ?

Answers

Answer:

15

Step-by-step explanation:

scale factor is 1.5

10*1.5 =15

The answer 15 hope this helped

PLEASEEE HURRY I WILL GIVE BRAINLEST ITS JUST ONE QUESTION

This is literally my last try and if I get this wrong I fail PLEASE answer it correctly that’s all I ask.

(I just need the last question. The multiple choice answers are ‘4,5,6,7,8,9’ I am allowed to choose more than one if needed)

Below is the graph of a polynomial function F with real coefficients. Use the graph to answer the following questions about F. All local extrema of F are shown in the graph.

Answers

i think it’s is A make me brainliest

WILL MARK BRAINLYIST what are the values of X,Y, and z

Answers

Answer:

x=111, y=36, z=76

Step-by-step explanation:

x = 45 + 66

Therefore x is 111 degrees

To find y, we will use the triangle method. We know that a triangle adds to 180, and so do two adjacent angles on a straight line.

180-66 = 114

180 - 114 - 30 = y

Therefore y is 36 degrees.

Same principles with z.

180- 119 = 61

180 - 61 - 43 = z

Therefore, z is 76 degrees.

Final:
x = 111
y = 36
z = 76

Jamal pays $29.25 for 3 pounds of cocoa powder. Assume that the cost y, in dollars, is proportional to the amount of cocoa powder x, in pounds. find the slope

Answers

Answer:

Step-by-step :

Your answer

Your answer

9.75

Mark it as Brainlist answer. Follow me.

Mark it as Brainlist answer. Follow me.

can u pls help me with this question 2​

Answers

12.3 - 7.9x!!
hope this helps :)

Which values of f are solutions for the inequality f > 4?

Answers

1,2,3 because they are all less than 4

Answer plz and fastttttttttttttttttt

Answers

Answer:

A. 576 gallons

Step-by-step explanation:

60% of 1,440 = 864

1,440 - 864 =    576

so there are 576 gallons left to fill to the top

Explain how you could the surface area and volume of the water tower

Answers

To find the volume of a cylinder, multiply the area of its bottom (a circle with area ar?) by its height, h. The top and bottom of a cylinder are equal-sized circles. A cylindrical water tower has a radius of 21 feet and a height of 15 feet

Y is inversely proportional to x when y=7,x=9

Answers

Answer:

b) y=3

Step-by-step explanation:

Pls help meeeeeee ahhhhhhh!

Answers

Answer: 8x+7

Step-by-step explanation:

The first thing you need to do is multiply (x+1) by 7 (this is the part where you use the distributive property). x times 7 is 7x and 1 times 7 is 7. So now you should have x+7x+7. Now just combine like terms. You can add x and 7x but you can't add the one because there is no variable (x) in it. Your final answer should be 8x+7. Hope this helps!

2/3 + 1 1/10 as a fraction

Answers

Answer:

Decimal Form:1.766666...

Mixed Number Form: 1 23/30

Exact Form:53/30

Step-by-step explanation:

please help! will give brainliest

Answers

Answer1.79

Step-by-step explanation:

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