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4 years ago

When multiplying (a +b)(c+d+e)? What must a be multiplied by

Mathematics

1 answer:

Softa [21]4 years ago

4 0

Answer:

c+d+e

Step-by-step explanation:

When mutinying these two polynomials you must start off by multiplying a by the three terms in the second parentheses, which would be a times c d and e. You then multiply b by c d and e. Those two polynomials you then add for the final answer.

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8(C - 9) = 6(20 - 12) - 40

krek1111 [17]

Answer:

All Real Numbers

Step-by-step explanation:

Any value of <em>c</em> makes the equation true.

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3 years ago

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Using the graph determine the equation of the axis of symmetry

zalisa [80]

It’s is 1
wherever the vertex is, is the line of symmetry

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3 years ago

6x + 14 = 20<br> Show your work <br> Solve the equation

DIA [1.3K]

Answer:

X = 1

Step-by-step explanation:

subtract 14 from both sides

6x = 6

divide both sides by 7

X = 1

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3 years ago

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A job candidate at a large job fair can be classified as unacceptable, provisional, or acceptable. Based on past experience, a h

svp [43]

Answer:

chisquare = 31.667

degree of freedom = 2

Step-by-step explanation:

Formula for chisquare test = (O-E)²/E

total number observations= 60 + 25 + 15 = 100

Estimated E,

80% x 100 = 80

15%x100 = 15

5% x 100 = 5

chisquare =

$\frac{(60-80)^{2} }{80} +\frac{(25-15)^{2} }{15}+\frac{(15-5)^{2} }{5}\\$

= 5 + 6.67 + 20

= 31.667

from the calculation above the value of the chisquare statistic = 31.67

the degree of freedom is the number of samples in the test n - 1

= 3-1

= 2

I have solve this question also in a tabular form to aid understanding in the file i uploaded.

thank you and good luck!

4 0

3 years ago

A plane flying horizontally at an altitude of 3 miles and a speed of 500 mi/h passes directly over a radar station. Find the rat

konstantin123 [22]

Answer:

The rate at which the distance from the plane to the station is increasing is 331 miles per hour.

Step-by-step explanation:

We can find the rate at which the distance from the plane to the station is increasing by imaging the formation of a right triangle with the following dimensions:

a: is one side of the triangle = altitude of the plane = 3 miles

b: is the other side of the triangle = the distance traveled by the plane when it is 4 miles away from the station and an altitude of 3 miles

h: is the hypotenuse of the triangle = distance between the plane and the station = 4 miles

First, we need to find b:

$a^{2} + b^{2} = h^{2}$ (1)

$b = \sqrt{h^{2} - a^{2}} = \sqrt{(4 mi)^{2} - (3 mi)^{2}} = \sqrt{7} miles$

Now, to find the rate we need to find the derivative of equation (1) with respect to time:

$\frac{d}{dt}(a^{2}) + \frac{d}{dt}(b^{2}) = \frac{d}{dt}(h^{2})$

$2a\frac{da}{dt} + 2b\frac{db}{dt} = 2h\frac{dh}{dt}$

Since "da/dt" is constant (the altitude of the plane does not change with time), we have:

$0 + 2b\frac{db}{dt} = 2h\frac{dh}{dt}$

And knowing that the plane is moving at a speed of 500 mi/h (db/dt):

$\sqrt{7} mi*500 mi/h = 4 mi*\frac{dh}{dt}$

$\frac{dh}{dt} = \frac{\sqrt{7} mi*500 mi/h}{4 mi} = 331 mi/h$

Therefore, the rate at which the distance from the plane to the station is increasing is 331 miles per hour.

I hope it helps you!

4 0

3 years ago