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3 years ago

How do u do this? PLz show work!!!!

Mathematics

2 answers:

sasho [114]3 years ago

6 0

For some integer k, you have
.. n = 7k +2
Then, multiplying by 4, you have
.. 4n = 28k +8
.. 4n = 7(4k +1) +1

The remainder is a) 1.

marissa [1.9K]3 years ago

4 0

N:7=x remainder 2
⇒ n= 7*x +2

4n= 4*(7x+2)=28x+8=28x+7+1=7*(4x+1)+1
⇒ the remainder is 1

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The average value of a function f over the interval [−2,3] is −6 , and the average value of f over the interval [3,5] is 20. Wha

Xelga [282]

Answer:

The average value of $f$ over the interval $[-2,5]$ is $\frac{10}{7}$ .

Step-by-step explanation:

Let suppose that function $f$ is continuous and integrable in the given intervals, by integral definition of average we have that:

$\frac{1}{3-(-2)} \int\limits^{3}_{-2} {f(x)} \, dx = -6$ (1)

$\frac{1}{5-3} \int\limits^{5}_{3} {f(x)} \, dx = 20$ (2)

By Fundamental Theorems of Calculus we expand both expressions:

$\frac{F(3)-F(-2)}{3-(-2)} = -6$

$F(3) - F(-2) = -30$ (1b)

$\frac{F(5)-F(3)}{5-3} = 20$

$F(5) - F(3) = 40$ (2b)

We obtain the average value of $f$ over the interval $[-2, 5]$ by algebraic handling:

$F(5) - F(3) +[F(3)-F(-2)] = 40 + (-30)$

$F(5) - F(-2) = 10$

$\frac{F(5)-F(-2)}{5-(-2)} = \frac{10}{5-(-2)}$

$\bar f = \frac{10}{7}$

The average value of $f$ over the interval $[-2,5]$ is $\frac{10}{7}$ .

4 0

3 years ago

How are these triangles congruent ? <br> - HL <br> - AAA<br> - ASA

agasfer [191]

Answer:

Congruent by AAA

Step-by-step explanation:

Given

$\triangle MNP$

$\triangle QST$

Required

The congruence rule

From the attached triangles, we have:

$\angle M = \angle Q$ --- A

$\angle N = \angle S$ --- A

$\angle P = \angle T$ --- A

<em>Hence, the congruence rule is AAA</em>

4 0

3 years ago

Carlos has 58 pencils what is the value of the digit 5 in this number

djverab [1.8K]

It would be 50 because the 5 is in the tens spot

6 0

4 years ago

Read 2 more answers

The external angle of a regular polygon is 200 . How many sides does it have ? What is the measure of each interior angle? What

Zanzabum

Answer:

An 18 sided shape.

Since the sum of the exterior angles of a polygon is 360° and an angle of the regular polygon is 20°, then 360° / 20° is the number of sides. We find the answer = 18, an octadecagon

3 0

3 years ago

BRAIN WARM UP MATHS?

Mashutka [201]

We can make 64 different equations using the power of ten.

<h3>What is the power of a number?</h3>

The power of a number identifies how many times that particular number is multiplied by itself.

Here, let us assume that the different equations = x

Using a power of 10, we have 10x making a total of 640.

10x = 640

Divide both sides by 10

10x/10 = 640/10

x = 64

Therefore, we can conclude that we can make 64 different equations using the power of ten.

Learn more about the power of a number here:

brainly.com/question/7447978

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4 0

2 years ago