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MAXImum [283]
3 years ago
11

Which equation describes this line (1,13) (-2,4)

Mathematics
1 answer:
Sonja [21]3 years ago
3 0

Answer:

D.

Step-by-step explanation:

First, you have to solve all of the options. The only option that makes since is D. To solve D, add 4 to both sides. That will leave you with y=3x+10. The slope of that equation is 3 and the y-intercept is 10. The line crosses the y-axis at 10, and goes up three and to the right one.

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Given the sequence 4, 8, 16, 32, 64, ..., find the explicit formula.
Goshia [24]

Answer:

\sf 2^{(n+1)}

Step-by-step explanation:

Explicit formula is used to represent all the terms of the geometric sequence using a single formula.

  \sf \boxed{\bf t_n=ar^{(n-1)}}

Here, a is the first term.

r is the common ratio.

r = second term ÷ first term

4, 8,16,32,64,.....

    a = 4

    r = 8 ÷4 = 2

\sf t_n =4*2^{(n-1)}

    \sf = 4*2^n * 2^{(-1)}\\\\     = 4*2^n*\dfrac{1}{2}\\\\     = 2*2^n

   \sf = 2^{(n+1)}

4 0
2 years ago
A local weather enthusiast wants to see if the last five summers have been warmer than normal for eloy, arizona. from the nation
motikmotik

For the local weather of Eloy, Arizona, the average for the last five years fits with the 30-year average.

<h3>What do you mean by standard deviation?</h3>

In statistics, Standard deviation is a measure of the variation of a set of values.

σ = standard deviation of a population

N = number of observations of population

X = mean

μ = population mean

The 30-year average for July was 90°. The standard deviation for this average is 2.1°. Thus, the temperature lies in the range around of 90° in July.

Therefore, the range of the temperature is,

t = 90 - 2.1 = 87.9

t = 90 + 2.1 = 92.1

The last five summers recorded have an average of 93. 5° and the value of a is 5%. Thus, the reduction is,

t = 92 - (92 x 2.5/100)

t = 89.70

This value of temperature lies in the range of 87.9-92.1 degrees Celsius. Hence, the two averages are probably the same.

Hence, for the local weather of Eloy, Arizona, the average for the last five years fits with the 30-year average. Option D is correct.

Learn more about the standard deviation here;

brainly.com/question/19243813

8 0
2 years ago
The lines 2x=ky+2 and (k+1)x=6y-3 have same gradient. Find possible values of k
faust18 [17]

Answer:

k = 3 or k = -4

(Anyone can correct me if I'm wrong)

Step-by-step explanation:

2x=ky+2\to\ eq1\\(k+1)x=6y-3\to\ eq2\\$Change to this form: $y=mx+c\\ky=2x-2\\y=\frac{2x-2}{k}\\$gradient of eq1: $\frac{2}{k}\\6y=(k+1)x+3\\y=\frac{(k+1)x+3}{6}\\y=\frac{k+1}{6} x+\frac{3}{6}\\y= \frac{k+1}{6} x+\frac{1}{2}\\$gradient of eq1: $\frac{k+1}{6}\\$Since gradient, m, is the same for both lines,$\\\frac{2}{k}=\frac{k+1}{6}\\12=k^{2}+k\\k^{2}+k-12=0\\(k-3)(k+4)=0\\k=3 $ or $ k=-4

6 0
3 years ago
Help please!!!!!!!!!!
german

Answer:

52/15 or 3 7/15

Step-by-step explanation:

2 3/5 divide 3/4

13/5 divide 3/4

13 x 4/5 x 3

52/15

3 7/15

5 0
3 years ago
Read 2 more answers
A different class has 254 students, and 58.7% of them are men. How many men are in the class
Vlad [161]

Answer:

432.7 mens ate there in class

6 0
3 years ago
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