Order the steps needed to simplify this expression

(3+1)^2-17•2+24/3+5

Simplify inside parentheses

Perform addition and subtraction left to right

Perform multiplication and division

Evaluate exponents

Order The Steps Needed To Simplify This Expression (3+1)^2-172+24/3+5Simplify Inside ParenthesesPerform

Answers

Answer 1

Answer:

Step 1

Step 4

Step 3

Step 2

Answer 2

Hence, the order of steps needed to simplify this expression is

Step 1

Step4

Step3

Step2

What is the simplification?

Simplification is reducing the expression/fraction/problem in a simpler form. It makes the problem easy with calculations and solving.

Here given expression is

[tex](3+1)^2-17(2)+\frac{24}{3}+5[/tex]

Step 1:-

Simplify the parenthesis

[tex](3+1)^2-17(2)+\frac{24}{3}+5\\\\=(4)^2-17(2)+\frac{24}{3}+5[/tex]

Step 2:- Evaluate exponents

[tex](3+1)^2-17(2)+\frac{24}{3}+5\\\\=(4)^2-17(2)+\frac{24}{3}+5\\\\=16-17(2)+\frac{24}{3}+5[/tex]

Step 3:-Perform multiplication and division

[tex](3+1)^2-17(2)+\frac{24}{3}+5\\\\=(4)^2-17(2)+\frac{24}{3}+5\\\\=16-17(2)+\frac{24}{3}+5\\\\=16-24+8+5[/tex]

Step 4:- Perform addition and subtraction left to right

[tex](3+1)^2-17(2)+\frac{24}{3}+5\\\\=(4)^2-17(2)+\frac{24}{3}+5\\\\=16-17(2)+\frac{24}{3}+5\\\\=16-24+8+5\\\\=29-24\\\\=5[/tex]

Hence, the order of steps needed to simplify this expression is

Step 1

Step4

Step3

Step2

To know more about the simplification

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Related Questions

Finding the work done in stretching or compressing a spring.

Hooke's Law for Springs.
According to Hooke's law, the force required to compress or stretch a spring from an equilibrium position is given by F(x)=kx, for some constant k. The value of k (measured in force units per unit length) depends on the physical characteristics of the spring. The constant k is called the spring constant and is always positive.

In this problem we assume that the force applied doesn't distort the metal in the spring.

A 2 m spring requires 11 J to stretch to 2.4 m. Find the force function, F(x), for the spring described.

Answers

Answer:

Check the explanation

Step-by-step explanation:

Kindly check the attached images below to see the step by step explanation to the question above.

Ann desires to grow tall sunflower plants. She wonders how the amount of water she provides the sunflowers will affect their growth. One spring Ann planted 25 sunflower plants, making sure each one had the same soil, amount of space, and exposure to sunlight. The first one received one ounce of water per day. The second one received 2 ounces of water per day, and so on.
To determine the ideal amount of water needed, she consistently watered her sunflowers this way and at the end of the summer recorded the height of each sunflower (in cm). Then she performed a regression analysis on the data.

She conducts a significance test to determine if there is convincing evidence of a positive linear relationship between the amount of water her sunflower plants received and how tall they grew. What is the correct test statistic and conclusion? Assume all conditions for inference are met.
(A)
t=2.68\textit{t}=2.68
t=2.68. There is convincing evidence of a positive linear relationship between the amount of water and height of a sunflower.
(B)
t=2.68\textit{t}=2.68
t=2.68.There is not convincing evidence of a positive linear relationship between the amount of water and height of a sunflower.
(C)
t=5.10\textit{t}=5.10
t=5.10. There is convincing evidence of a positive linear relationship between the amount of water and height of a sunflower.
(D)
t=5.10\textit{t}=5.10
t=5.10.There is not convincing evidence of a positive linear relationship between the amount of water and height of a sunflower.
(E)
t=5.875\textit{t}=5.875
t=5.875.There is convincing evidence of a positive linear relationship between the amount of water and height of a sunflower.

Answers

Answer: a

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

The appropriate test is a t-test for slope. The test statistic is t = 2.68 and the p-value is 0.005. Because the p-value, 0.005, is less than α=0.05 we have convincing evidence that there is a positive linear relationship between the amount of water received and how tall the sunflower plants grew.

The height of a triangle is 18 inches. Find the length of the base if the area of the triangle is 63 square inches

Answers

Answer:

7 inches

Step-by-step explanation:

The area of a triangle is found by

A = 1/2 bh

We know the height is 18 and the area is 63

63 = 1/2 (b)(18)

63 = 9b

Divide each side by 9

63/9 = 9b/9

7 = b

The base is 7 inches

Answer:

7 inches

Step-by-step explanation:

Area = ½ base × height

63 = ½ × base × 18

63 = 9 × base

base = 7 inches

(5+2×3)−4+(5x5) ? Highly appreciate it. :)

Answers

Answer:

32

Step-by-step explanation:

Answer: 32

Step-by-step explanation:

3/4 x 1/4

next problme: 3/5 x 1/5


100 pts

Answers

Answer:

0.1875 and 0.12

Step-by-step explanation:

3/4x1/4 is 0.1875. 3/5 x 1/5 is 0.12

Answer:

1)0.1875

2)0.12

Step-by-step explanation:

Writing Percents as Fractions
a. Write 35% as a fraction in simplest form.
35% =
35
100
Write as a fraction with
a denominator of 100.
7
20
Simplity.

Answers

Answer:

Answers are below

Step-by-step explanation:

Percent means "out of 100" so 35% is 35/100. We can simplify this fraction by dividing the numerator and denominator by 5. 35/100 / 5 = 7/20.

7/20 multiply the numerator and denominator by 5.

7/20 x 5 = 35/100

If this answer is correct, please make me Brainliest!

Answer:

b and c

Step-by-step explanation:

Please help me - Homework

Answers

Answer:

Step-by-step explanation:

A= 2(5*2) + 2(1*4) + (3*5) + 2(2*3) + (1*3) + (4*3) + (6*3) = 88 cm^2

What’s the correct answer for this?

Answers

Answer:

c

Step-by-step explanation:

Identify two ways that native Americans resisted being relocated

Answers

Answer:

Tortured and kidnapped white colonists, and some started wars.

Assume that the probability of a driver getting into an accident is 5.7% and
that the average cost of an accident is $24,500. If the driver's insurance
premium is $1686.50, what is the overhead cost for the insurance company
to insure the driver?
A. $256
B. $190
C. $290
D. $260

Answers

Answer:

C. $290

Step-by-step explanation:

The expected cost is:

E = 1686.50 − (0.057) (24500)

E = 290

In a poll of 100 randomly selected people at a mall, 38 people make less than $50,00 a year and 23 people made more than $100,000 a year. If I had to choose one of the people polled at random, what is the probability I pick someone that makes less than $50,000 or more than $100,000?

Answers

Answer:

61%

Step-by-step explanation:

First we need to add the two numbers,38 and 23.Then we will get 61.To convert a number into a probability . we will have to take change the value.100 turns into 1 and 61 turns in to 0.61.Then to convert it into a percentage, which will give us our answer 61%.

Function

Which ordered pair is on the inverse of f(x)?

© (-4,-2)

o (-2,-2)

o (-1,-2)

*

f(x)

|

-2

DONE

-1

NolNb

1

Answers

Answer:(-1,-2)

Step-by-step explanation:

Compute the amount of interest earned in the following simple interest problem. A deposit of $4,500 at 5% for 3 years:

$67.50
$6.75
$675.00
$6,750.00

Answers

Answer:

$675.00

Step-by-step explanation:

4500 x 0.05 x 3 = 675

A ball is thrown straight up from a cliff. The function f(x)= -4.9t^ + 17t +19 describes the height of the ball, in meters, as a function of time, t, in seconds. What is the maximum height of the ball? At what time is the height reached? Round your answer to one decimal place.

Answers

Answer:

  33.7 m at 1.7 seconds

Step-by-step explanation:

For quadratic ax^2+bx+c, the line of symmetry (x-coordinate of the vertex) is ...

  -b/(2a)

For your quadratic, the vertex (highest point) is reached at time ...

  t = -(17)/(2(-4.9)) = 17/9.8 ≈ 1.7 . . . . seconds

__

The height at that time is ...

  f(17/9.8) = (-4.9(17/9.8) +17)(17/9.8) +19 = 289/19.6 +19 ≈ 33.7 . . . meters

_____

Comment on the function evaluation

We have used the "Horner form" of the function to make evaluation easier.

  f(t) = (-4.9t +17)t +19

Find the arc length of a partial circle with a radius of 5
Will mark brainlist! pleaseeee

Answers

Answer:23.55

Step-by-step explanation:

radius=r=5

Φ=360-90

Φ=270

π=3.14

Length of arc=Φ/360 x 2 x π x r

length of arc=270/360 x 2 x 3.14 x 5

Length of arc=0.75 x 2 x 3.14 x 5

Length of arc=23.55

Answer:

23.55 units

Step-by-step explanation:

Hope this helps!

What fraction equals 4

Answers

Here are a few 4/1 , 8/2 , 12/3

4, 8/2, 12/3 are equal to 4, when simplified, which means they are equivalent in nature.

What is fraction?

A fraction is defined as numerical representation for part of a whole which represents a rational number.

If the denominator is 1, the numerator can be taken as 4, so the fraction would become [tex]\frac{4}{1}[/tex] = 4

If the denominator is 2, the numerator can be taken as 8, so the fraction would become [tex]\frac{8}{2}[/tex] = 4

If the denominator is 3, the numerator can be taken as 12, so the fraction would become [tex]\frac{12}{3}[/tex] = 4

Thus, 4, 8/2, 12/3 are equal to 4, when simplified, which means they are equivalent in nature.

Learn more about fraction

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A sector with an area of 11/2*pi cm^2 has radius of 3 cm. What is the central angle measure of a sector in degrees?

190
200
210
220

Answers

Answer:

Step-by-step explanation:

Area of sector = angle/360 * pi * r^2

5.5pi = angle/360 * pi * 9

5.5 = angle/360 * 9

angle = (5.5 * 360)/9 = 40 * 5.5 = 220

The volume of a cone is 3x* cubic units and its height is x units.
Which expression represents the radius of the cone's base, in units?
O 3x
6x
370x2
O 90X2
Mark this and retum
Save and Exit
Next
Submit

Answers

Answer:

The radius of a cone is [tex]\dfrac{3}{\sqrt{\pi} }\ \text{units}[/tex].

Step-by-step explanation:

The formula of the volume of a cone is given by :

[tex]V=\dfrac{1}{3}\pi r^2 h[/tex]

r is radius of cone

h is height of cone

We have,

Volume of a cone is 3x cubic units and height is x units. Putting the values of volume and height such that,

[tex]r=\sqrt{\dfrac{3V}{\pi h}}\\\\r=\sqrt{\dfrac{3\times 3x}{\pi x}} \\\\r=\sqrt{\dfrac{3\times 3}{\pi}}\\\\r=\sqrt{\dfrac{9}{\pi}}\\\\r=\dfrac{3}{\sqrt{\pi} }\ \text{units}[/tex]

So, the radius of a cone is [tex]\dfrac{3}{\sqrt{\pi} }\ \text{units}[/tex].

Tuli is 10 years younger than Emily. The product of their
ages 2 years ago was 39. Let the present age of Emily
be A. Which of the following quadratic equations does A
satisfy?​

Answers

Answer:

a² - 14a - 15 = 0 (quadratic equation)

Emily's age = 15 years

Tuli's age = 15 - 10 = 5 years

Step-by-step explanation:

let

Emily age = a

Tuli age =  a - 10

Two years ago their ages will be as follows.

Emily's age = a - 2

Tuli's age = a - 10 - 2 = a - 12

The product of their ages 2 years ago is 39.

(a - 2)(a - 12) = 39

a² - 12a - 2a + 24 - 39 = 0

a² - 14a - 15 = 0 (quadratic equation)

To get a

a² + a - 15a - 15 = 0

a(a + 1) - 15(a + 1)

(a + 1)(a - 15)

a = -1 or 15

we can only use 15 as it is positive.

What’s the correct answer for this?

Answers

Answer:   a

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

It would still be 10° because dilation doesn't change angles

Matt says 3/3 is equivalent to 1 is he correct?

Answers

Answer: Yes

Step-by-step explanation:

It isn't an

1 an improper fraction

Less than the denominator

Therefore, three thirds or 3/3 is one whole fraction

Rly hope I helped!

☆꧁Ashlin꧂☆

Answer:yes he his correct

Step-by-step explanation:

3/3=1

Round 78500 to the nearest thousand. Enter your answer in the box below
without a comma.

Answers

Answer:

79000

Step-by-step explanation:

The 8 is in the thousands place.  We look at the hundreds place

5 is in hundreds place.  It is 5 or greater so we round up

The 8 becomes a 9

78500 becomes 79000

the stained glass below shows bilateral symmetry. The two overlapping squares are congruent. What is the area of the window?

Answers

Answer:

  116.82 square inches

Step-by-step explanation:

The overall shape is that of a 10-inch square with four triangles attached. Each of those is an isosceles right triangle with leg lengths of 2.9 inches.

The area of the four triangles is ...

  total triangle area = 4(1/2)(2.9 in)(2.9 in) = 16.82 in²

The area of the 10-inch square is ...

  square area = (10 in)² = 100 in²

Then the total window area is ...

  window area = 16.82 in² +100 in²

  window area = 116.82 in²

Place one digit in each blank. Use 0 if there is no other number to fill the blank.
Joshua counted 7/10 of the chicken eggs. Daniel counted 3/10 of the chicken eggs.

What is the difference between the fraction of eggs counted by each boy?

Write the answer as a decimal in the place value chart.

ones . tenths
.

Answers

Answer:

4/10 dumbaass

Step-by-step explanation:

Answer:

4/20

Step-by-step explanation:

A hot dog stand sells hot dogs for $3 each, but each hot dog costs $1.50 to make. Each month, the hot dog stand pays $800 in rent and $1,200 in employee wages. If the hot dog stand sells 3,120 hot dogs in a month, how much will the hot dog stand earn in profit?

Answers

Answer:

$2680

Step-by-step explanation:

3.00-1.50= 1.50 profit per hotdog

1200+800=2000 expenses

1.50 (3120) = 4680

4680-2000=

2680 in profit

Please help me I’m stuck on this.


Oliver wants to play the gone fishing game at the carnival.He will use the graph to find the total cost (Y) to play a couple of games.If Oliver wants to play 4 games,how much will he pay?


If u need more information tell me in the comments :)

Answers

Answer:

The cost of the game is $7 .

Step-by-step explanation:

By looking at the graph, the line at x = 4 is equals to y = 7

Evaluate 12 ➗(0.9 -0.04

Answers

Answer:

13.9534883721

Step-by-step explanation:

12/(0.9-0.04)=12/0.86=13.9534883721

Shown below is a regular pentagon inscribed in a circle. Calculate the area of the shaded region. Round your answer to the nearest tenth.

Answers

Answer:

S(a) = 27,5036  squared units

Step-by-step explanation:

Shaded area is :

S(a)  =  Area of the circle  - area of the regular pentagon      (1)

A(c) = area of the circle

A(c) = π*(r)²    ⇒  A(c) =  π*(6)²     ⇒   A(c) =  36*π   ⇒ A(c) = 113,0976 squared units

Area of a regular pentagon:

a) If we draw a straight line between the center and each vertex we get  5 triangles, and if we draw the apothem for each side, we get 10 triangles. We will calculate the area of one  of these triangles

The first 5 triangles has a central angle equal to 72⁰ according to:

360/5  =  72

When we divide these triangles in two triangles by means of the apothem, each central angle will be of 36⁰, then

sin 36⁰  =  0,58778  and cos 36⁰ = 0,809017    and   sin 36⁰ =  x/6      here x is half of the side of the regular pentagon. Then

0,58778  =  x/6

x = 6*0,58778

x =  3,52668 units of length  

and cos 36⁰ = a/6      where a is the apothem, then

0,809017  = a / 6     ⇒   a  = 6*0,809017

a =  4,8541 units of length

Now we are in conditon to calculate area of the triangles as:

A(t) = (1/2)*b*h

A(t) = (1/2)*x*a     ⇒ A(t) = 0,5* 3,52668*4,8541

A(t) = 8,5594 squared units

Finally we have 10 of these triangles, then

Area of regular pentagon is : 10*A(t) squared units

A(p) = 85,594 squared units

Now plugging these values in equation (1) we get the shaded area

S(a) =  113,0976 - 85,594

S(a) = 27,5036  squared units

Members of a soccer team suspect the coin used for the coin toss at the beginning of their games is unfair. They believe it turns up tails less often than it should if it were fair. The coach of the team decides to flip the coin 100 times and count the number of tails. His trial results in 35 tails. He decides to carry out a significance test. What is the p-value he obtains and the general conclusion that can be made at a 99% significance level?


A.) The p-value is 0.0013. He should reject the null in favor of the alternative.

B.) The p-value is 0.0013. He should fail to reject the null.

C.) The p-value is 0.9987. He should reject the null in favor of the alternative.

D.) The p-value is 0.9987. He should fail to reject the null.

E.) There is not enough information provided to calculate the p-value and make a conclusion.

Answers

Answer:

The p-value is 0.0013. He should reject the null in favor of the alternative.

Step-by-step explanation:

We are given that Members of a soccer team suspect the coin used for the coin toss at the beginning of their games is unfair. They believe it turns up tails less often than it should if it were fair.

The coach of the team decides to flip the coin 100 times and count the number of tails. His trial results in 35 tails.

Let p = proportion of occurrence of tail.

SO, Null Hypothesis, [tex]H_0[/tex] : p = 0.50     {means that it turns up tails equal to that it should if it were fair}

Alternate Hypothesis, [tex]H_A[/tex] : p < 0.50      {means that it turns up tails less often than it should if it were fair}

The test statistics that would be used here One-sample z-test for proportions;

                            T.S. =  [tex]\frac{\hat p-p}{\sqrt{\frac{ p(1-p)}{n} } }[/tex]  ~ N(0,1)

where, [tex]\hat p[/tex] = sample proportion of tails occurrence = [tex]\frac{35}{100}[/tex] = 0.35

            n = sample of trails = 100

So, the test statistics  =  [tex]\frac{0.35-0.50}{\sqrt{\frac{0.50(1-0.50)}{100} } }[/tex]    

                                     =  -3

The value of z test statistics is -3.

Also, P-value of the test statistics is given by;

                P-value = P(Z < -3) = 1 - P(Z [tex]\leq[/tex] 3)

                              = 1 - 0.9987 = 0.0013

Since, the P-value of test statistic is less than the level of significance as 0.0013 < 0.01, so we have sufficient evidence to reject our null hypothesis as it will fall in the rejection region due to which we reject our null hypothesis.

Therefore, we conclude that it turns up tails less often than it should if it were fair.

Please help ASAP! I will mark BRAINLIEST!! Please answer correctly! No guessing!

Answers

Answer:

exponential decay...................

Answer:

exponential decay

Step-by-step explanation:

If the amount is 1/2 every half hour, it is getting smaller, so it is decreasing, leaving choices a and b

We start with 100 items

100, 50 ,25, 12.5

this is not linear so it must be exponential decay

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Lena wants to rent a boat and spend at most $52. The boat cost $7 per hour, and Lena has a discount coupon for $4 off. What are the possible numbers of hours Lena could rent the boat? Black Flight after 92 LA Riots - WHY? Based on the following lines from the excerpt from "Upon the Burning of Our House" by Anne Bradstreet, what is the speaker's initial reaction to the events happening? In silent night when rest I tookFor sorrow near I did not lookI wakened was with thundring noiseAnd piteous shrieks of dreadful voice.That fearful sound of Fire! and Fire!Afearful and afraid to lookBhysterical and shriekingCannoyed to be awakened by thunderDpeaceful and calm Which two consecutive integers does [tex]\sqrt{155}[/tex] lie between?A)11 and 12B)12 and 13C)11 and 12D)12 and 13 In a desert ecosystem, coyotes and rattlesnakes both eat the same type of mouse as a primary part of their diets. Recently, coyotes have been hunted and killed by people, decreasing the overall coyote population. How will this most likely affect the rattlesnake population over time? Which of the following is a complex number? lenghts of the sides of a rectangular garden are in a ratio 1:2. Line connecting the centers of the adjacent sides of the garden is 20 m long. Calculate the perimeter and the area of the garden. PLZZZ HELP CHEM!!!!!!! Easy points!!!!! How did Alexander's layout for Alexandria in Egypt reflect his admiration for Greek heritage? You go to "Ice Cream Palace" for dessert one day. You can get vanilla, chocolate, or twist ice cream. You have a choice of rainbow sprinkles, chocolatesprinkles, or no sprinkles. You can get your ice cream in a cup or a cone and they each come in small, medium, and large sizes. How many different combinationsare there in all? How does nitrogen get into the air During the Civil War, many African Americans joined the Union army to end slavery in the South. Toward the end of the war, about (a. 10 b. 50 c. 35) percent of the total Union force was made up of black soldiers. However, they faced discrimination and did not receive pay equal to that of the white soldiers.(a. Frederick Douglass b. Albert Cashier c. James Henry Gooding) wrote a letter to President Abraham Lincoln protesting the unequal pay of black soldiers. Since plastic doesn't biodegrade in the oceans, what does the future hold? What can be done to make the future better? HELPPP PLEASEEEEE!!!!!!!!! in which place of nepal does mount everest lies? Name a product that is from the Amazon rainforest and how it benefits the rainforest Which table of ordered pairs represents a proportional relationship? how can you identify the zeros of a function from a graph ? find the volume of the cylinder. either enter an exact answer in terms of pi or the use of 3.14radius 3 height 6 A 30 kg object has 3 forces acting on it - one 40 N force to the right, one 20 N force to the right, and one 30 N force to the left. What is the acceleration of the object?A. 1.0 m/s2 to the rightB. 0 m/s2C. 1.6 m/s2 to the rightD. 3 m/s2 to the left