What are the coefficients of this expression 7a+23b +2c + 16

Answer:

56

Step-by-step explanation:

The answer to the sum is: ∑ k⁴ (k  ranges from 1 to 6)

Express the sum in sigma notation :

According to the question,

1 = lower limit of summation

k = the index of summation

1 + 16 + 81 + 256 + 625 + 1296 = 1² + 4² + 9² + 16² + 25² + 36²

                                                 = 1⁴ + 2⁴ + 3⁴ + 4⁴ + 5⁴ + 6⁴ ( i.e 16 = 4²=(2²)²)

                                                 = ∑ k⁴ (k ranges from 1 to 6)

 So, The answer to the sum is - ∑ k⁴ (k ranges from 1 to 6).    

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Answer:

7.5

Step-by-step explanation:

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The equation to find Amy's earning after tutoring for 15 hours is 300 dollars.

She earn 20 dollars for each hours she tutors.

E = earnings in dollars

H = hours of tutoring

The equation relating E and H are as follows:

E = 20H

Therefore, the equation to find Amy's earning after tutoring for 15 hours is as follows;

E = 20H

E = 20 × 15

E = 300 dollars

Therefore, Amy's tutoring for 15 hours is 300 dollars.

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Answer:

The park has 20 climbing activities.

Step-by-step explanation:

Given, 

Total activities = 50

Percent of climbing activities = 40%

Number of climbing activities = 40% of total activities

Number of climbing activities =  40/100 * 50

Number of climbing activities = 0.40 * 50 = 20

Hope this helps!!

Answer:B

Step-by-step explanation:

E202 just did :)

Answer:

b

Step-by-step explanation:

edg 2020

The correct answer is cycle. A sine or a cosine function represent periodic functions where the value of the function is repeats after a definite interval.

What do you mean by periodic function?

A periodic function can be defined as:

A function returning to the same value at regular intervals. Though periodic motion and oscillatory motion sound the same, not all periodic motions will be oscillatory motion.

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If a function has a repeating pattern like sine or cosine, it is called a periodic function. The period is the length of the smallest interval that contains exactly one copy of the repeating pattern.

A motion that repeats itself at regular intervals is termed periodic motion. 1. A motion that does not repeat itself at regular intervals is termed non-periodic motion. 2. After a certain period of time, an object exhibiting periodic motion returns to its original position.

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The percent of decrease is 3.33. Hence The correct option is (C).

A histogram is a visual depiction of data distribution in statistics. The histogram is shown as a collection of neighbouring rectangles, where each bar represents a certain type of data. Several fields use statistics, which is a branch of mathematics. Frequency, which can be expressed as a table and is known as a frequency distribution, is the repeating of numbers in statistical data. A histogram is one sort of graph that can be used to visually represent a frequency distribution.

The percent decrease formula. Just dividing the decreased number by the original value and multiplying the result by 100 will yield the percentage decrease formula. Percent Decline is calculated as (Decreased Value / Original Value) ×100.

Percent Decline = \(\frac{Decreased Value }{Original Value}\) × 100.

Accidents in 1966=300

Accidents in 1966=290

So,Decreased Value=300-290=10

Now, percent of decrease= (Decreased Value / Original Value) × 100.

⇒ percent of decrease=\(\frac{10}{300}\)×100

⇒ percent of decrease=\(\frac{1}{30}\)×100

⇒ percent of decrease=3.33

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$37,500 should be invested in B-rated bonds and $22,500 should be invested in a certificate of deposit in order to realize exactly $6,000 in interest per year.

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Answer:

There are 3 students at each table

Step-by-step explanation:

If Ms. Joseph has 6 tables to begin with and she sets up 2 more that is 8 tables in total. 24 divided by 8 is 3. So there are 3 students at each table.

Answer:

5+5root3

Step-by-step explanation:

Answer:

5+5root3

Step-by-step explanation:

sorry if its wrong

Answer:

w = (-3/2)u + 2

Step-by-step explanation:

Since we don't know the value of u, we can only solve -12u+13=8w-3 for w in terms of u.

Adding 3 to both sides, we get -12u+13=8w-3 => -12u+16=8w, or

8w = -12u + 16

Reduce this by dividing all three terms by 8:

w = (-12/8)u + 2

... and then reduce the fraction:      w = (-3/2)u + 2

Answer:

Step-by-step explanation:

8x + 2 + 70 + 60 = 180   {angle sum property of triangle}

8x + 132 = 180

         8x = 180 -132

        8x = 48

        x = 48/8

x = 6

Here, we are given a triangle with 2 of its angle , the third angle is in the form of variable equation .

We will use the angle sum property of triangle to find the value of variable i.e x in the given triangle.

Here,

➙ ∠A = 70°

➙ ∠B = 60°

➙ ∠C = 8x + 2

It states that the sum of all angles of a triangle is 180°

‎ㅤ‎ㅤ‎ㅤ➙ ∠A + ∠B + ∠C = 180°

‎ㅤ‎ㅤ‎ㅤ➙ 70° + 60° + ∠C = 180°

‎ㅤ‎ㅤ‎ㅤ➙ 130° + ∠C = 180°

‎ㅤ‎ㅤ‎ㅤ➙ ∠C = 180° - 130°

‎ㅤ‎ㅤ‎ㅤ➙ ∠C = 50°

‎ㅤ‎ㅤ‎ㅤ➙ 8x + 2 = 50 ‎

‎ㅤ‎ㅤ‎ㅤ➙ 8x = 50 - 2

‎ㅤ‎ㅤ‎ㅤ➙ 8x = 48

‎ㅤ‎ㅤ‎ㅤ➙ x = 48 / 8

‎ㅤ‎ㅤ‎ㅤ➙ x = 6

Answer:
i = \(\sqrt{-1}\)
i^2 = -1

Step-by-step explanation:

I hope this helps you out :D

since i = square root of -1 when you square i (i^2) you get rid of the parenthesis.

Value of an exterior angle of a triangle is equal to the sum of values of two opposite interior angles of a triangle.

\(\qquad\displaystyle \tt \dashrightarrow \: 5x + 10 = 40 + 70\)

\(\qquad\displaystyle \tt \dashrightarrow \: 5x = 110 - 10\)

\(\qquad\displaystyle \tt \dashrightarrow \: 5x = 100\)

\(\qquad\displaystyle \tt \dashrightarrow \: x = 100 \div 5\)

\(\qquad\displaystyle \tt \dashrightarrow \: x = 20\)

Value of x = 20°

Hey! there . Thanks for your question :)

Answer:

Step-by-step explanation:

In this question we are given with two interior angles of the triangle that are 40° and 70° , also we are given an exterior angle that is (5x + 10)°. And we are asked to find the value of angle x.

Solution :-

For finding the value of angle x , we have to use exterior angle property of triangle which states that sum of opposite interior angles of triangle is equal to the given exterior angle. So :

Step 1: Making equation :

\( \longmapsto \: \sf{40 {}^{°} + 70 {}^{°} = (5x + 10) {}^{°} }\)

Solving :

\( \longmapsto \: \sf{110 {}{°} = (5x) {}^{°} +10 {}^{°} }\)

Step 2: Subtracting 10 on both sides :

\( \longmapsto \sf{ 110 {}^{°} - 10 {}^{°} = 5x + \cancel{10 {}^{°}} - \cancel{10 {}^{°} } }\)

We get ,

\( \longmapsto \sf{(5x ){}^{°} = 100 {}^{°} }\)

Step 3: Dividing both sides by 5 :

\( \longmapsto \dfrac{ \cancel{5}x {}^{°} }{ \cancel{5}} = \dfrac{ \: \: \: \: \cancel{ 100} {°}^{} }{ \cancel{5} }\)

On cancelling , we get :

\( \longmapsto \underline{\boxed{\red{\sf{ \bold{ x = 20 {}^{°} }}}}} \: \: \bigstar\)

Verification :-

For verifying sum of both the interior angles is equal to given exterior angles. As we get the value of x as 20 we need to substitute it's value in place x and then L.H.S must be equal to R.H.S :

Therefore , our answer is correct .

Answer:

Solid

Step-by-step explanation:

All of the particles are closely pressed to gather and they are not freely moving around, instead, they are just vibrating. This is what happens in solids, the particles are so close together that objects cannot move through them.

Answer: -13/17

Step-by-step explanation: To find the slope of the line that passes through the points (-9, 7) and (8, -6), you can use the slope formula:

slope = (y2 - y1) / (x2 - x1)

where (x1, y1) = (-9, 7) and (x2, y2) = (8, -6)

Substituting the values in the formula, we get:

slope = (-6 - 7) / (8 - (-9))

slope = -13 / 17

Therefore, the slope of the line that passes through the points (-9, 7) and (8, -6) is -13/17.

Answer:

\(\frac{-14}{17}\)

Step-by-step explanation:

Slope is the change in y's (-9,7) (8,-6) over the changes in x's (-9,7)(8,-6).  You find the changes by subtraction

\(\frac{-6-7}{8-(-9)}\) = \(\frac{-14}{8+9}\) = \(\frac{-14}{17}\)

Helping in the name of Jesus.

Answer:

Do you have a picture

Step-by-step explanation:

to figure it out

Answer:

Ask you might know 63×32 is 2,016 so 630×32 is 2,016 just with a 0 added and so far on so 630×32 would be 20,160 and 6300×32 would be 201,600

Answer:

7 ft

Step-by-step explanation:

hypotenuse (h) = 25

perpendicular (p) = 24

base (b) = ?

We know by using Pythagoras theorem

b = √h² - p²

= √ 25² - 24²

= √ 49

= 7 ft

Answer:

missing side= 7 ft

Step-by-step explanation:

using pythogoras theoram

25^2-24^2=x^2

625-576=x^2

49=x^2

x=7

Answer:

angles BED and DEA, and angles AEC and BEC are supplementary angles

Step-by-step explanation:

If you do not know what supplementary angles are, then just know that it means two angles added together that equal 180 degrees. So, all you need to do is find two angles on the picture that equal 180 degrees when added together.

I hope this helps! :)

Answer:

26,003 people in 2016

Step-by-step explanation:

If the population is growing by one percent each year, you take the 2010 population and divide by 100 (which is 1%) and add it with the population. That is 2011 population. Take this population, divide it by 100, and add to 2011 population. Do this 4 more times and 26,003 is your answer.

The correct answer is option A which is  \(f(x) =\dfrac{1}{(x+3)(x+5)}\) this expression is showing the graph given in the question.

A graph is the representation of the data on the vertical and horizontal coordinates so we can see the trend of the data.

In the given question we can see the graph. The function \(f(x) =\dfrac{1}{(x+3)(x+5)}\) is showing the graph given in the question.

As we put the values of x in the function we will get this type of symmetric graph shown. I also attached the graph I made on the graphing tool in the answer below.

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