MATHEMATICS HIGH SCHOOL

The exponential function g, whose graph is given below, can be written as g(x)=a*b^xComplete the equation for g(x)

PLEASE HELP!!!!

Answers

Answer 1

Answer:

Answer:

g(x) = $9((1)/(3))^x$

Step-by-step explanation:

Exponential function 'g' that can be written as g(x) = a.bˣ

From the graph attached,

Graph of the function passes through two points (0, 9) and (1, 3)

g(0) = a.b⁰

9 = a

Similarly, g(1) = a.b¹

3 = a.b

3 = 9(b)

b = $(3)/(9)=(1)/(3)$

Therefore function will be,

g(x) = $9((1)/(3))^x$

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A recipe calls for 16 fluid ounces for light whipp cream. If Anthony has 1pint of whipping cream in his refrigerator does he have enough for the recipe
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The width of classroom is 4 meters less than the length, and the area is 192m^2. If the length is x m, find an equation in x and hence, find the dimensions of the classroom

Answers

Step-by-step explanation:

x(x-4) = 192

the Equation:

x²-4x -192 =0

=> (x-16) (x+12) =0

x= 16 or x= -12

since the x should be a possitive, so x = 16

the dimension :

the length = 16 m

the width = 12 m

a line has the equation 8x-2y=24 in standard form.Rewrite the equation of the line in slope intercept form.Then report the slope and y intercept.

Answers

8x-2y=24
-8x -8x
-2y=-8x+24
----- ---- ----
-2 -2 -2
y=4x-12

slope: 4
y-intercept: -12

Prism A is similar to prism B. Find the volume of prism B if the volume of prism A is 4320 cm3

Answers

$k=(a_A)/(a_B)\nk=(12)/(6)\nk=2\nk^3=(V_A)/(V_B)\nV_B=(V_A)/(k^3)\nV_B=(4320)/(2^3)\nV_B=(4320)/(8)\nV_B=540 \text{ cm}^3$

Answer:

540

Step-by-step explanation:

I am confirming that the answer is 540. :)

What is the value of x, when 10(x + 2) = 5(x + 8)?A) x = 1
B) x = 2
C) x = 4
D) x =
5
6

Answers

The correct answer to this question is B

Answer:

Step-by-step explanation:

15 donuts in 3 boxes = how many donuts per box

Answers

Answer:

Step-by-step explanation:

divide

The mean and standard deviation of a population being sampled are 64 and 6, respectively. If the sample size is 50, what is the standard error of the mean? how do I find the standard error?

Answers

SEM - Standard error of the mean;
You can find the standard error with a formula:
SEM = s / √n, where s is the standard deviation and n is the sample size;
SEM = 6 / √50 = 6 / 7.071
Answer:
SEM = 0.8485

Final answer:

The standard error is calculated as the standard deviation divided by the square root of the sample size. For a population with a standard deviation of 6 and a sample size of 50, the standard error is 6 / sqrt(50).

Explanation:

The standard error can be defined as the standard deviation divided by the square root of the number of samples. It helps to estimate the variability in the population. In this case, the mean is 64, the standard deviation is 6, and the sample size is 50. The equation to calculate the standard error is:

$Standard Error = Standard Deviation / \sqrt(Sample Size).$

Plugging in the values given in the question, we get:

$Standard Error = 6 / \sqrt(50)$

. After performing the division, you will get the standard error of the mean which tells you how far your sample mean could be from the true population mean.