1) The table shows the height in centimeters, that a weight bouncing from a spring would achieve if there were no friction, for a given number of seconds.


From it's resting position, how long does it take the weight to bounce one direction, then the other, and then back to it's resting position?

Answer:

Step-by-step explanation:

That would be:

24 miles       3

------------- = ------ with no units of measurement

32 miles        4

Answer:

The price for one hat was $5 and the price for one scarf was $4

Step-by-step explanation:

Let

x ----> the price for one scarf in dollars

y ----> the price for one hat in dollars

we know that

Dakota bought 2 scarves and 1 hat for $13

so

[tex]2x+y=13[/tex] ----> equation A

Kristina bought 1 scarf and two hats for $14

so

[tex]x+2y=14[/tex] ----> equation B

Solve the system by elimination

Multiply by -2 both sides equation B

[tex]-2(x+2y)=-2(14)[/tex]

[tex]-2x-4y=-28[/tex] ----> equation C

Adds equation A and equation C

[tex]2x+y=13\\-2x-4y=-28\\---------\\y-4y=13-28\\-3y=-15\\y=5[/tex]

Find the value of x

substitute the value of y in any equation

equation B

[tex]x+2(5)=14\\x=14-10\\x=4[/tex]

therefore

The price for one hat was $5 and the price for one scarf was $4

Answer:

The correct answer is A. 1.5w² + 5w + 4

Step-by-step explanation:

1. Let's review the information given to us to answer the question correctly:

Height of the portrait = 1.5 times its width in inches

Frame = 2 inches all along its perimeter

2.  What is an expression for the area of  the framed portrait in terms of w?

Let's recall that the area of a rectangle is length or height * width.

A = height * width

Now, we can replace in terms of w:

A = 1.5w * w

But we need to add the 2 inches of the frame, this way:

A = (1.5w + 2) * (w + 2)

A = 1.5w² + 2w + 3w + 4

A = 1.5w² + 5w + 4

The correct answer is A. 1.5w² + 5w + 4

Final answer:

The expression for the area of the framed portrait in terms of w is 1.5w^2 + 8w + 8.

Explanation:

To find the expression for the area of the framed portrait, we need to consider the dimensions of both the portrait and the frame. Let's assume the width of the portrait is w inches. According to the given information, the height of the portrait without the frame is 1.5 times the width, so the height is 1.5w inches.

To calculate the dimensions of the framed portrait, we need to add 2 inches to the width and height for the frame. The width of the framed portrait is w + 2 inches, and the height is 1.5w + 2 inches.

The area of the framed portrait is equal to the product of its width and height. Therefore, the expression for the area, in terms of w, is (w + 2) * (1.5w + 2). When we simplify this expression, we get 1.5w2 + 8w + 8.

Answer:

T. T = 2q

Step-by-step explanation:

20t : q

40t : 2q

You just times the values

Answer:

[tex]x=29[/tex]

Step-by-step explanation:

Given equation :

[tex]\frac{(7+2x)}{5} =13[/tex]

Making the terms of 'x' to one side and constants to the other.

                   [tex](7+2x)=13*5[/tex]

                       [tex]7+2x=65[/tex]

                            [tex]2x=65-7[/tex]

                              [tex]2x=58[/tex]

                                [tex]x=\frac{58}{2}[/tex]

                                  [tex]x=29[/tex]

So, the value of 'x' is 29.

Answer:

x = 29

Explanation:

7 + 2x / 5 = 13

Multiply both sides by 5

7 + 2x / 5 = 13 · (5) = (13) · (5)

7 + 2x = 65

Simplify both sides of the equation

2x + 7 = 65

Subtract 7 from both sides

2x + 7 − 7 = 65 − 7

2x = 58

Divide both sides by 2

2x / 2 = 58 / 2

x = 29

Answer: it’s D

Step-by-step explanation:

I completed it

The relation set - {(9, 1), (6,2), (3, 3), (6,4), (9,5)}

does not represent the function.

An expression in mathematics defines a relationship between one variable (the independent variable, x)  and another variable (the dependent variable, y). For example -

f(x) = 4x + 6

Given are the set of ordered pairs as given in the question.

It can be clearly seen that the relation set -

{(9, 1), (6,2), (3, 3), (6,4), (9,5)}

does not represent the function as for x = 6, there are two possible values of [y] given, which is not possible.

Therefore, the relation set - {(9, 1), (6,2), (3, 3), (6,4), (9,5)}

does not represent the function.

To solve more questions on functions, visit the link below -

brainly.com/question/26182329

#SPJ5

Answer: 0.25

Step-by-step explanation:

Answer:

i think the answer is c but im not sure

Step-by-step explanation:

The angle measure of m∠ACB (x°) is 39°.

Step-by-step explanation:

Let us name the joining points as ABC and ABC forms triangle with extended lines. (refer the image)

We have to find the value of m∠ACB = x°.

the given data,

m∠A=68°.

m∠B =107°.

To find m∠CAB,

Let us consider that AB is a line traversed by a line C intersecting at A. (refer diagram)

Using the theorem of corresponding angles theorem, when a line intersects another line, then the angles opposite each other is equal to each other.

m∠A=m∠CAB.

m∠CAB  =68°.

To find m∠ABC,

Let us consider AB is a line.(refer diagram)

Using the straight line proof, the total of angles in a straight line is 180°.

Thus m∠ABC+m∠B=180°.

m∠ABC+107°=180°.

m∠ABC=180°-107°.

m∠ABC=73°.

Finally we have to find the value of x° that is m∠ACB.

Using the interior angles proof,  the sum of interior angles of triangle is 180°.

⇒m∠ABC+m∠CAB+m∠ACB=180°.

73°+68°+m∠ACB=180°.

141°+m∠ACB=180°..

m∠ACB=180°-141°.

m∠ACB=39°.

Thus the angle measure of m∠ACB (x°) is 39°.

Answer:

8xy

Step-by-step explanation:

(2x)(4y)

By expansion we have

2x x 4y

8xy

Answer:

D

Step-by-step explanation:

A.

12x – 3 – 6x = 6x – 3

12x - 3 = 12x -3

-3 = -3     infinite solution

B.

3 + 16x = 3 + 24x – 8x

3 + 16x = 3 + 16x

3 = 3     infinite solution

C.

2 + 12x - 4x = 2 + 8x

2 + 8x = 2 + 8x

2 = 2     infinite solution

D.

12x – (6x + 8) = 6x + 4

6x - 8 = 6x + 4

-8 = 4     no solution

Answer:

Step-by-step explanation:

The imaginary number has form:

a + bi

a - real part

bi - imaginary part

i - imaginary unit (i = √-1)

We have the number 9.

9 is a real part

An imaginary part is equal 0.

Therefore the imaginary part of number 9 is 0i.

Answer:

plug -3 as x to find f(-3)

Step-by-step explanation:

Answer:

Width 130 ft and

Length 320 ft

Step-by-step explanation:

We are given;

We are required  to determine the dimensions of the rectangular base;

Assuming the width of the rectangular base is x ft

Then length will be (3x - 70) ft

But;

Perimeter = 2L + 2W

Thus;

900 ft = 2(3x-70) + 2(x)

900 ft = 6x -140 +2x

1040 = 8x

 x = 130

Thus;

Width = 130 ft

Length = 3x -70 = 320 ft

Hence the dimensions of the rectangular base are width 130 ft and length 320 ft

Answer:

what is your problem in the figure

Answer:

Here are a couple questions I came up with myself! Feel free to use one!

Step-by-step explanation:

This chart is asking “ Well, we have data and we want you to make a question out of it”

So,

“How much was the population in Suwanee?”

“How much more is the population in Cartersville than Lilburn?”

“If you add the population of Cartersville, Suwanee, Lilburn, and Norcross, how much would the population be then?”

Hope this helped! ~Oreo

Answer:

The equation is [tex]y=-3x-5[/tex]

Step-by-step explanation:

We are given;

Assuming the question requires we determine the equation of a line perpendicular to the given line and passing through the point given.

Step 1: Determine the slope of the given line

To determine the slope from an equation requires we write the equation in the form, y = mx + c, where m will be the gradient.

In this case;

[tex]3y = x - 4\\ y = \frac{1}{3}x-\frac{4}{3}[/tex]

Therefore, the slope is [tex]\frac{1}{3}[/tex]

Step 3: Determine the slope of the line in question

We know that the product of the slope of two perpendicular line is -1

That is;

m₁ × m₂=-1

Thus;

1/3 × m₂ -1

Hence; m₂ = -3

Step 3: Determine the equation of the line in question;

We have its slope, m₂ = -3

A point (-2, 1)

Taking another point (x,y)

Thus;

[tex]\frac{y-1}{x--2}=-3\\y-1 =-3(x+2)\\y-1 = -3x-6\\y=-3x-5[/tex]

Therefore, the required equation is [tex]y=-3x-5[/tex]

The equation of the line perpendicular to the line and passing through the point is y = -3x - 5

Given the equation 3y = x - 4

Find the slope of the line

y = 1/3 x - 4/3

The slope of the line is 1/3 and the slope of the line perpendicular is -3

Substitute the point (-2, 1) and the slope into equation

y - y1 = m(x-x1)

y - 1 = -3(x+2)
y - 1 = -3x - 6
y = -3x - 5

Hence the equation of the line perpendicular to the line and passing through the point is y = -3x - 5

Learn more on equation of a line here; https://brainly.com/question/13763238

Answer:

D. Make triangles with the same angle measures and different side length.

Step-by-step explanation:

Since the values of the angles of the triangle are constant, varying the length of the sides would give series of triangles. Note that the length of the three sides must not be equal at any stage of the varying process.

Answer:

2170 kg

Step-by-step explanation:

since there are 7 days in a week first you calculate the days

930 plus 930 equals 1860 which can feed a pair of elephants for 6 days

then since in one day it takes 310 kg then add 1860 plus 310

and then you get 2170

so, you need 2170 kg of food to feed a pair of elephants in a week

[tex]13\frac{1}{6}-3\frac{4}{5}=(13*6+1)/6-(3*5+4)/5=79/6-19/5=(395-114)/30=\\ \\=281/30=9\frac{11}{30}[/tex]

Hey there! Since my last answer got reported and deleted because I messed it up, here is a second answer for you!

Answer:

Exact form : 281/30

Decimal form : 9.36 (please a line over the six to represent that the six is repeating itself. It will look like this...9.3666666666...)

Mixed Number form : 9 11/30

Step-by-step explanation: Convert the mixed number to improper fractions, then find the LCD (Least Common Denomintor) and then combine.

Hope this helps you out.

Answer:

x = (2/5); y = (-2/5)

Step-by-step explanation:

x + y = 0

13x + 8y = 2

Multiply so the "x" variables are opposite with the same absolute value.

(-13) x + y = 0 (-13) ⇒ -13x - 13y = 0

(1) 13x + 8y = 2 (1)  ⇒  13x + 8y = 2

Add the two equations.

(13x - 13x) + (8y - 13y) = (2 - 0)

-5y = 2

Divide both sides by -5

y = [tex]-\frac{2}{5}[/tex]

Plug the value of "y" into either equations.

x + [tex](-\frac{2}{5})[/tex] = 0

Add [tex]\frac{2}{5}[/tex] to both sides.

x = [tex]\frac{2}{5}[/tex]

Answer:

1064.8 in^2

Step-by-step explanation:

12.1 x 17. 6 / 2 to find one half of a triangle will equal 106.48

there are 10 triangle therefore 106.48 x 10 = 1064.8

Answer:

532.4 in²

Step-by-step explanation:

The area (A) of the regular pentagon is calculated as

A = 0.5 × perimeter × apothem

Perimeter = 5 × 17.6 = 88 in

The apothem is the segment from the centre to the midpoint of one of the sides.

Here the apothem = 12.1 in, thus

A = 0.5 × 88 × 12.1 = 44 × 12.1 = 532.4 in²

Answer:

Traveling east 5miles/hour can be represented as; traveling 45 degrees from south at 5 miles per hour .

Traveling west 5miles/hour can be represented as;

Traveling 45 degrees from south towards the north

The second part is on the attached file

Step-by-step explanation:

You will declare variables before you start solving the questions

Answer:

Step-by Traveling east 5miles/hour can be represented as; traveling 45 degrees from south at 5 miles per hour .

Traveling west 5miles/hour can be represented as;

Traveling 45 degrees from south towards the north

The second part is on the attached filey-step explanation:

Answer:

Mean for Bakery A because the data is symmetric; median for Bakery B because the data is not symmetric, as can be observed from the stem and leaf frequency plot.

Step-by-step explanation:

CALCULATIONS FOR BAKERY A

Considering the data for Bakery A

45 52 51 48 57 30 55 46

Calculating Mean for Bakery A

[tex]Mean=\frac{Sum\:of\:terms}{Number\:of\:terms}[/tex]

Sum of terms = 45 + 52 + 51 + 48 + 57 + 30 + 55 + 46 = 384

Number of terms = 8

As

[tex]Mean=\frac{Sum\:of\:terms}{Number\:of\:terms}[/tex]

[tex]Mean=\frac{302}{8}[/tex]

[tex]Mean=48[/tex]

Calculating Median for Bakery A

As the median is the middle number in a sorted list of numbers. So, to find the median, we need to place the numbers in value order and find the middle number.

As the data for Bakery A is

45 52 51 48 57 30 55 46

Ordering the data from least to greatest, we get:

30   45   46   48   51  52   55   57  

As you can see, we do not have just one middle number but we have a pair of middle numbers, so the median is the average of these two numbers:

[tex]Median=\frac{\left(48+51\right)}{2}=\frac{99}{2}=49.5[/tex]

Getting a Plot and Leaf Plot for Bakery A

Data for Bakery A in ascending order

30   45   46   48   51  52   55   57  

STEM                    LEAF

3                               0

4                               5   6   8

5                               1    2   5   7

CALCULATIONS FOR BAKERY B

Considering the data for Bakery B

48 42 11 45 57 10 43 46

Calculating Median for Bakery B

[tex]Mean=\frac{Sum\:of\:terms}{Number\:of\:terms}[/tex]

Sum of terms = 48 + 42 + 11 + 45 + 57 + 10 + 43 + 46 = 302

Number of terms = 8

[tex]Mean=\frac{302}{8}=37.75[/tex]

Calculating Median for Bakery B

[tex]Median=\frac{\left(43+45\right)}{2}=44[/tex]

Getting a Plot and Leaf Plot for Bakery B

Data for Bakery B in ascending order

10   11   42   43   45   46   48   57  

STEM                    LEAF

1                               0   1

2                              

3                              

4                              2   3   5   6   8

5                              7

So, from the above observation, we can conclude that Mean for Bakery A because the data is symmetric; median for Bakery B because the data is not symmetric, as can be observed from the stem and leaf frequency plot.

Keywords: symmetric distribution, mean, media

Learn more about symmetric distribution, mean, media from brainly.com/question/4528114

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Answer:

Mean for Bakery A because the data is symmetric; median for Bakery B because the data is not symmetric, as can be observed from the stem and leaf frequency plot.

Answer:

A and D and E is the answer.

Step-by-step explanation:

Answer:

The speed of the car is 42 mph.

Step-by-step explanation:

Speed = distance / time. 84 / 2 = 42

Answer:

84 Inches

Step-by-step explanation:

so 12 inches are in 1 foot. 12 x 7+84

Answer: 84 in

Step-by-step explanation: since there are 12 inches in a foot multiple 12 by the number of feet.

Answer:

3/4w

Step-by-step explanation:

3/4 ÷w = 3/4 × 1/w = 3/4w

Answer:

-2x - 10 = -2(x + 5)

Step-by-step explanation:

-2x - 10 is already simplified, but in order to understand the solution, we need to simplify -2(x + 5) in order to show that it is an equivalent expression:

-2(x + 5) = -2x - 2(5)

Further simplify:

-2x - 10

This proves that -2x - 10 = -2(x + 5) is an equivalent expression.

Answer:

3

Step-by-step explanation:

Answer: 3

Step-by-step explanation:

15 divided by 5 is 3. Which means that 15/5 is 3.

Answer:

Exact Form:  X = 44/15

Decimal Form:  X = 2.93¯

Mixed Number Form:  X = 2 14/15

Step-by-step explanation: