Is (x + 5) a factor of f(x) = x3 − 4x2 + 3x + 7?

What is the volume ,in cubic meter ,of a cylinder with a height of 3 neters and a base radius of 4 meters ,to the nearest theths

TEA [102]

Answer:

volume = 150.9m³

Step-by-step explanation:

in order to find the volume ,in cubic meter ,of a cylinder with a height of 3 meters and a base radius of 4 meters ,to the nearest theths place wee apply the formular for finding the volume of a cylinder which is πr²h

v = πr²h

given that

height = 3meters

radius = 4meters

volume=?

going by the formulae v= πr²h

v = π × (4)² × 3

v = π × 16 ×3

v= 48πm³

note the value of π = 22/7

v = 48 × 22/7

v = 1056/7

v= 150.87m³

therefore the volume of the cylinder to the nearest tenth place is 150.9m³

6 0

3 years ago

Which statement is true about figures ABCD and A′B′C′D′? (1 point)

sladkih [1.3K]

Answer:

Step-by-step explanation:

A'B'C'D' is obtained by rotating ABCD 180° counterclockwise about the origin and then reflecting it across the x-axis.

A(2, -2) is mapped to A'(-2, -2)

B(1, -4) is mapped to B'(-1, -4)

C(0, -2) is mapped to C'(0, -2)

D(1, -1) is mapped to D'(-1, -1)

If we rotate counterclockwise 180°, every point (x, y) is mapped to (-x, -y):

A(2, -2) gets mapped to (-2, 2)

B(1, -4) gets mapped to (-1, 4)

C(0, -2) gets mapped to (0, 2)

D(1, -1) gets mapped to (-1, 1)

Reflecting these images across the x-axis will then map (x, y) to (x, -y):

(-2, 2) gets mapped to (-2, -2)

(-1, 4) gets mapped to (-1, -4)

(0, 2) gets mapped to (0, -2)

(-1, 1) gets mapped to (-1, -1)

These new coordinates are the same as A'B'C'D'.

3 0

2 years ago

PLEASE HELP IM SO CONFUSED BY THIS

Yanka [14]

In a triangle, the three interior angles always add to 180°

m∠B = 180 - 30 - 80 = 70°

<span>D: 70</span>

4 0

3 years ago

When finding the margin of error for the mean of a normally distributed population from a sample, what is the critical probabili

svlad2 [7]

Critical probability is the essentially cut-off value. The critical probability when the confidence level of 58% is 0.79.

<h3>What is the critical probability?</h3>

Critical probability is the essentially cut-off value that defines the region where the test statistic is unlikely to lie.

As it is given that the confidence level is 58%. therefore, in order to calculate the critical probability, we need to calculate the margin of error within a set of data, and it is given by the formula

$\rm Critical\ Probability, (P*) = 1-\dfrac{\alpha }{2}$

where the value of the α is expressed as,

$\alpha= 1 -\dfrac{\rm Confidence\ interval}{100}$

Now, as the confidence interval is given to us, therefore, the value of the alpha can be written as,

$\alpha= 1 -\dfrac{\rm 58\%}{100} = 0.42$

Further, the critical probability, assuming a confidence level of 58% is,

$\rm Critical\ Probability, (P*) = 1-\dfrac{\alpha }{2}\\\\\rm Critical\ Probability, (P*) = 1-\dfrac{0.42}{2} = 0.79$

Hence, the critical probability is 0.79.

Learn more about Critical Probability:

brainly.com/question/5625386

6 0

2 years ago

The total cost of owning a home for 6 years is $120,000. The

Agata [3.3K]

After 6 years, the difference between owning the house and renting is $12,000.

<h3>What is the difference in owing and renting the house?</h3>

The first step is to determine the total cost of renting the house for six years.

Total cost of renting the house = rent per month x number of years x number of months in a year

1500 x 12 x 6 = $108,000

Difference = cost of owning - cost of renting

$120,000 - $108,000 = $12,000

To learn more about subtraction, please check: brainly.com/question/854115

#SPJ1

6 0

2 years ago