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2 years ago

Complete the sentence

Mathematics

1 answer:

ryzh [129]2 years ago

3 0

Answer: b, d

Step-by-step explanation:

Corresponding angles are formed when two parallel straight lines are cut by a transversal

$\angle b=62^{\circ}$

In the figure, $\angle d\ \text{and}\ 62^{\circ}$ are alternate angle

$\therefore \angle d=62^{\circ}$

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Let f(x)=−12(x+2)2+5 . What is the average rate of change for the quadratic function from x=−3 to x = 1?

aev [14]

Answer:

Average rate of change = -6

Step-by-step explanation:

The average rate of change over the interval (a,b) is given by;

[ f(b) - f(a)] / (b-a)........................where interval is (a,b)

(a,b) interval =(-3,1)

Where;

f(x)= -12 (x+2)² +5

$f(a)=f(-3)=-12(-3+2)^2+5\\f(a)=f(-3)=-12(-1)^2+5\\f(a)=f(-3)=-12(1)+5\\=-12+5=-7\\\\\\f(b)=f(1)=-12(1+2)+5\\f(b)=f(1)=-12(3)+5\\=-36+5=-31\\\\f(b)-f(a)=-31--7=-24\\\\b-a=1--3=4\\\\f(b)-f(a)/b-a=\frac{-24}{4} =-6$

5 0

2 years ago

How do u multiply fractions

Aleksandr [31]

Multiply the numerators together and the denominators to get the ending fraction.

Ex: 3/4 x 3/4 = 9/16, and simplify if needed.

6 0

2 years ago

Which expressions are equivalent to the equation

Ivahew [28]

Answer:

The correct answer is option 3

2⁻¹⁰ and 1/1024

Step-by-step explanation:

Points to remember

1). ( xᵃ)ᵇ = xᵇ

2). x⁻ᵃ = 1/xᵃ

It is given that, (2⁵)⁻²

To find the equivalent of (2⁵)⁻²

(2⁵)⁻² = 2⁻¹⁰

To find the value of 2⁻¹⁰

2⁻¹⁰ = 1/2¹⁰

2¹⁰ = 1024

1/2¹⁰ = 1/1024

Therefore the correct answer is 3rd option

2⁻¹⁰ and 1/1024

5 0

2 years ago

Read 2 more answers

What is the slope of the line perpendicular to the line with equation 4x-5y+13=0

motikmotik

Answer:

m = - 5/4

Step-by-step explanation:

If two lines are perpendicular, their slopes are negative reciprocals, which means that their product is -1

We can write the equation

4*x - 5*y + 13 = 0

as: 5*y = 4*x + 13 or

y = (4/5)*x + 13 (1)

Equation (1) is the equation of a straight line in its slope point form, 4/5 is the slope, according to this the slope of a perpendicular line is

-5/4

4 0

2 years ago

6. A car dealership would like to estimate the mean mpg of its new model car with 90% confidence. The population is normally dis

Yakvenalex [24]

Answer:

92.9997< $\mu$ <99.5203

Step-by-step explanation:

Using the formula for calculating the confidence interval expressed as:

CI = xbar ± Z * S/√n where;

xbar is the sample mean

Z is the z-score at 90% confidence interval

S is the sample standard deviation

n is the sample size

Given parameters

xbar = 96.52

Z at 90% CI = 1.645

S = 10.70.

n = 25

Required

90% confidence interval for the population mean using the sample data.

Substituting the given parameters into the formula, we will have;

CI = 96.52 ± (1.645 * 10.70/√25)

CI = 96.52 ± (1.645 * 10.70/5)

CI = 96.52 ± (1.645 * 2.14)

CI = 96.52 ± (3.5203)

CI = (96.52-3.5203, 96.52+3.5203)

CI = (92.9997, 99.5203)

Hence a 90% confidence interval for the population mean using this sample data is 92.9997< $\mu$ <99.5203

4 0

2 years ago

Complete the sentence ​

Complete the sentence