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4 years ago

Let i be the first of four consecutive integers. what is 3 less than the sum of those integers ?

1 answer:

5 0

The consecutive integers are i, i+1, i+2, i+3.

3 less than sum of the integers

= i + i +1 + i + 2 + i + 3 - 3 = 4i + 3

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Please help its do in 3 mins

S_A_V [24]

Answer is –4/5

Rearrange the equation to make y the subject

5y = –4x – 35

y = –4/5 x – 7

If the line is parallel to the other line, they both have the same gradients but different y-intercepts, so the gradient is just as is.

6 0

2 years ago

Pls help me with this question :)

natima [27]

I think it would be 4
:)

3 0

4 years ago

In each of Problems 5 through 10, verify that each given function is a solution of the differential equation.

WARRIOR [948]

Answer:

For First Solution: $y_1(t)=e^t$

$y_1(t)=e^t$ is the solution of equation y''-y=0.

For 2nd Solution: $y_2(t)=cosht$

$y_2(t)=cosht$ is the solution of equation y''-y=0.

Step-by-step explanation:

For First Solution: $y_1(t)=e^t$

In order to prove whether it is a solution or not we have to put it into the equation and check. For this we have to take derivatives.

$y_1(t)=e^t$

First order derivative:

$y'_1(t)=e^t$

2nd order Derivative:

$y''_1(t)=e^t$

Put Them in equation y''-y=0

e^t-e^t=0

0=0

Hence $y_1(t)=e^t$ is the solution of equation y''-y=0.

For 2nd Solution:

$y_2(t)=cosht$

In order to prove whether it is a solution or not we have to put it into the equation and check. For this we have to take derivatives.

$y_2(t)=cosht$

First order derivative:

$y'_2(t)=sinht$

2nd order Derivative:

$y''_2(t)=cosht$

Put Them in equation y''-y=0

cosht-cosht=0

0=0

Hence $y_2(t)=cosht$ is the solution of equation y''-y=0.

3 0

3 years ago

Help me please!!!!!!

Arada [10]

<h3>Answer: sin(C) = 3/5</h3>

==========================================================

Explanation:

Recall that sine is the ratio of opposite over hypotenuse.

For angle C, the opposite side is AB = 24 as this leg is furthest as possible from angle C. The hypotenuse is always opposite the 90 degree angle.

So,

sin(angle) = opposite/hypotenuse

sin(C) = AB/AC

sin(C) = 24/40

sin(C) = (8*3)/(8*5)

sin(C) = 3/5

If you want to find the measure of angle C, then you apply the arcsine rule to both sides. Inverse sine is the same as arcsine.

5 0

3 years ago

Read 2 more answers

Gender and College Students: According to the U.S. Department of Education, approximately 57% of students attending colleges in

Elan Coil [88]

Answer:

Option ii is right

Step-by-step explanation:

Given that according to the U.S. Department of Education, approximately 57% of students attending colleges in the U.S. are female.

$H_0: p=0.57\\H_a: p≠0.57.$

(Two tailed test at 5% significance level)

Test statistic =1.42

Here since proportions we use Z test

p value = 0.156

(ii) P-value =0.156

3 0

3 years ago