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Vesna [10]
3 years ago
8

Nehemiah wants to create a function to represent the change in his income over the past few months. Nehemiah estimates that the

best fit linear function for the change in his income is y=2310+220x, where y is his monthly income and x is the number of months.
The predicted value of Nehemiah's income in month 6 is (3540/3630/3760/3850) $________. If the actual value of Nehemiah's income was $3750 in month 6, the residual value for month 6 would be (210/120/-15/-100/-120)

Mathematics
1 answer:
GREYUIT [131]3 years ago
7 0

Answer: The predicted value of Nehemiah's income in month 6 is $3,630.If the actual value of Nehemiah's income was $3750 in month 6, the residual value for month 6 would be $120.

Step-by-step explanation:

Hi, to answer this question we have to substitute x = 6 (moths) in the equation given:

y=2310+220x

Replacing:

y=2310+220(6)

Solving:

y=2310+1320

y = $ 3630

The predicted value of Nehemiah's income in month 6 is $3,630.

If the actual value of Nehemiah's income was $3750 in month &, the residual value will be equal to the actual value minus the predicted value.

3750-3630=$120

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The diagonals of a trapezoid are congruent only if the nonparallel sides are congruent--True or False
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Answer:

True

Explanation:

If you have a shorter non-parallel side than the other, it will result in uneven diagonals.

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7 0
3 years ago
30) (19, 15), (5,11)<br> find the slope of the line through each pair points
Tema [17]

Answer:

The slope is -4/14

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3 0
3 years ago
A cylinder with height 10 inches and radius 4 inches is filled with water. The water is poured into a bowl
frez [133]

Answer:

Volume of water left in the cylinder=76\frac{2}{3}\pi \:in^3

Step-by-step explanation:

Height of the Cylinder=10 inches

Radius of the cylinder=4 Inches

Volume of the Cylinder

=\pi r^2h\\=4^2*10\pi\\=160\pi\:in^3

Radius of the Hemisphere=5 Inches

\text{Volume of a Hemisphere}=\frac{2}{3}\pi r^3\\ =\frac{2}{3}\pi *5^3\\=\frac{250\pi}{3} in^3

Since the Volume of the cylinder is greater than the Volume of the bowl, all the water will not fit.

\text{Therefore: volume of water left} =160\pi-\frac{250\pi}{3}\\=76\frac{2}{3}\pi \:in^3

8 0
4 years ago
20 ft
Oksana_A [137]

The value of the diagonal will be equal to 20√2.

<h3>What is the Pythagorean theorem?</h3>

Pythagorean theorem states that in the right angle triangle the hypotenuse square is equal to the square of the sum of the other two sides.

The value of the diagonal by the Pythagorean theorem.

H²  =  B²  +  P²

H²  =  20²  +   20²

H²  =  400   +  400

H  =  √800

H  =  20√2

Therefore the value of the diagonal will be equal to 20√2.

To know more about the Pythagorean theorem follow

brainly.com/question/343682

#SPJ1

7 0
2 years ago
given directed line segment AB find the coordinates of p such that the ratio of ap to pb is 2:1 plot point p
murzikaleks [220]

Answer:

P(\frac{10}{3}, \frac{-2}{3})

Step-by-step explanation:

The question is incomplete; However

A = (-2, -4)

B = (6, 1)

Required

Determine coordinates of P

When line segment is divided in ratios, the following formula calculates the coordinates;

P(x,y) = \{\frac{mx_2 + nx_1}{m+n}, \frac{my_2 + ny_1}{m+n}\}

In this case;

m:n = 2:1

(x_1,y_1) = (-2, -4)

(x_2,y_2) = (6, 1)

So, the coordinates of P is calculated as thus

P(x,y) = \{\frac{2 * 6 + 1 * (-2)}{2+1}, \frac{2 * 1 + 1 * (-4)}{2+1}\}

P(x,y) = \{\frac{12 -2}{3}, \frac{2 -4}{3}\}

P(x,y) = \{\frac{10}{3}, \frac{-2}{3}\}

Hence, the coordinates of P is

P(\frac{10}{3}, \frac{-2}{3})

3 0
4 years ago
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