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Nata [24]
3 years ago
8

What is the coefficient of the term of degree 7 in the polynomial below? 2x^6 + 2 – 4x^2 + 5x^7 – 4x A. 2 B. 4 C. 6 D. 5

Mathematics
2 answers:
Aloiza [94]3 years ago
5 0
B is the answer for this
Aleksandr-060686 [28]3 years ago
3 0
The coefficient of the term of degree 7 in this polynomial is 5
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In the table below, x represents the miles traveled and y represents the cost to travel by train.
Afina-wow [57]

Answer:

Third option

m = 2.25

Step-by-step explanation:

The slope of the function is equal to its rate of change between two points.

For example, for a couple of points (x_1, y_1),\ (x_2, y_2)

The slope is:

m =\frac{y_2-y_1}{x_2-x_1}

In this problem we have the following points

1.(2, 8.50) , 2. (5, 15.25), 3. (8, 22.00) , 4. (12, 31.00)

We calculate the slope between the first two points

m =\frac{15.25-8.50}{5-2}=2.25

We calculate the slope between the points 3 and 4

m =\frac{31-22}{8-4}=2.25

We calculate the slope between the points 2 and 3

m =\frac{22-15.25}{8-5}=2.25

The slope is always the same. Therefore m is constant and the fution is a line of slope m = 2.25

7 0
3 years ago
Read 2 more answers
What is the solution to the inequality |2n+5|>1?
Yuliya22 [10]
ANSWER

n <  - 3 \: or \: n>  - 2



EXPLANATION



The given inequality is,

|2n + 5|  \:  >  \: 1


By the definition of absolute value,



- (2n + 5)  \:  >  \: 1 \: or \: (2n + 5) \:  >  \: 1



We divide through by negative 1, in the first part of the inequality and reverse the sign to get,

2n + 5 \:   <   \:  - 1 \: or \: (2n + 5) \:  >  \: 1

We simplify now to get,

2n   \:   <   \:  - 1 - 5 \: or \: 2n  \:  >  \: 1 - 5


2n   \:   <   \:  - 6 \: or \: 2n  \:  >  \:  - 4


Divide through by 2 to obtain,

n   \:   <   \:  - 3 \: or \: n  \:  >  \:  - 2


4 0
3 years ago
Read 2 more answers
An earthquake measuring 6.4 on the Richter scale struck Japan in July 2007, causing extensive damage. Earlier that year, a minor
a_sh-v [17]

Answer:

10

Step-by-step explanation

The earthquake  measures 6.4 on the Richter scale which struck Japan in Jullu 2007 and caused and extensive damage. Earlier that year, a minor earthquake measuring 3.1 in the Richter scale has stroked in parts of Pennsylvania.

Fomular:

The magnitude of an earthquake is M log(I/S)

where I donates the intensity of the earthquake and S be the intensity of the standard earthquake.

Calculation:

Consider that M1 be the magnitude Japanese earthquake and M2 be the magnitude of the Pennsylvania earthquake and L1 be the intensity of the Japanese earthquake and L2 the intensity of the Pennsylvania  earthquake.

Here the magnitude of the Japanese earthquake is M1 = 6.14 and the magnitude of the Pennsylvania is M2 = 3.1

By the use of magnitude of the earthquake fomular M = log I1/S, the intensity of the Japanese earthquake is calculated as follows .

M1 = log I1/S

I1/s = 10

3 0
3 years ago
The mean volume for a bottle of cologne is 4 ounces and the standard deviation is 0.22 ounces. A random sample of 121 bottles is
adelina 88 [10]

Answer:

The standard error of the mean is 0.02

Step-by-step explanation:

Here, we want to calculate the standard error of the mean.

Mathematically;

standard error of mean = SD/ √n

where SD is the standard deviation and n is the number of samples

From the question, SD = 0.22 and n = 121

Inserting this into the equation

Standard error of the mean = 0.22/√121

= 0.22/11 = 0.02

6 0
3 years ago
What is the sum of an infinite geometric series if the first term is 156 and the common ratio is 2⁄3?
Zanzabum

Answer:

<h2>B. 468</h2>

Step-by-step explanation:

We have

a_1=156,\ r=\dfrac{2}{3}

If |r| < 1, then the formula of a sum of an infinite geometric sequence is:

S=\dfrac{a_1}{1-r}

Substitute:

S=\dfrac{156}{1-\frac{2}{3}}=\dfrac{156}{\frac{1}{3}}=156\cdot\dfrac{3}{1}=468

4 0
3 years ago
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