8 divided by 2(2+2)
answer??

Step-by-step explanation:

Let the mass of the person be [tex]m[/tex].

Let the spring constant be [tex]k[/tex].

Let the displacement in spring be [tex]x[/tex]

Let the acceleration due to gravity be [tex]g[/tex]

As it is given that the person just stands,the forces are balanced.

So,[tex]mg=kx[/tex]

Given,

[tex]m=60Kg\\k=2500Nm^{-1}\\g=9.8ms^{-2}[/tex]

[tex]60\times 9.8=2500\times x\\x=\frac{588}{2500}=0.2352m[/tex]

Answer:

Step-by-step explanation:

A function is a relation between sets that associates to every element of a first set exactly one element of the second set.

Each element from the first set is assigned exactly one element from the second set.

It's not a function, because for 0 are assigned two elements 1 and 3.

Solving the inequality [tex]-x+8>6[/tex] we get [tex]x<2[/tex]

Step-by-step explanation:

We need to find the value of x from the inequality [tex]-x+8>6[/tex]

Solving:

[tex]-x+8>6[/tex]

Subtract 8 on both sides:

[tex]-x+8-8>6-8[/tex]

[tex]-x>-2[/tex]

Divide both sides by (-1). For doing this the sign of inequality is reversed i.e, > is changed into <

[tex]x<2[/tex]

So, Solving the inequality [tex]-x+8>6[/tex] we get [tex]x<2[/tex]

Keywords: Solving inequalities

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Answer:

[tex]\frac{1}{48}[/tex]th

Step-by-step explanation:

Let X cookies are sold at the local bake sale.

So,

[tex]\frac{X}{4}[/tex] cookies will be made by Kim.

Now,

Given is One-third of her cookies are chocolate chip.

So, One-third of [tex]\frac{X}{4}[/tex]  will be chocolate chip

Which is [tex]\frac{X}{12}[/tex].

Out of whixh one-fourth have nuts.

So,[tex]\frac{X}{48}[/tex] cookies will be having nuts.

So, [tex]\frac{1}{48}[/tex]th of the Total cookies at the bake (X) will be having nuts.

Answer:

1 1/8 cup of brown sugar.

Step-by-step explanation:

Here is the correct question: A recipe calls for 3/4 cup brown sugar for  each 2/3 cup white sugar. How many cups of  brown sugar per cup of white sugar is this?    

Given: 3/4 cup of brown sugar for each 2/3 cup of white sugar.

Finding requirement of brown sugar for 1 cup of white sugar.

∴ Each 2/3 cup of white sugar require 3/4 cup of brown sugar.    

Now, 1 cup of white sugar require brown sugar = [tex]\frac{\frac{3}{4} }{\frac{2}{3} } cups[/tex]

 = [tex]\frac{3}{4} \times \frac{3}{2} = \frac{9}{8} \ cup[/tex]

Thus, we can say [tex]\frac{9}{8}[/tex] = 1 1/8 cup of brown sugar is required per cup of white sugar.

The most you will pay for renting the bicycle for at most 5 hours is $40.

The total cost of renting a bicycle for h hours is given by the function c = 8h, where c represents the total cost and h represents the number of hours rented. In this case, you figure you can rent a bicycle for at most 5 hours. To find the most that you will pay, substitute h = 5 into the function c = 8h:

c = 8(5) = 40

Therefore, the most you will pay for renting the bicycle for at most 5 hours is $40.

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Answer:

x(x-5) = 14

x^2-5x-14 = 0

x^2 -7x+2x-14=0

x(x-7)+2(x-7)=0

(x+2)(x-7)=0

x = -2, 7

Hope this helps!

Answer:

The scale factor is 1/3

Step-by-step explanation:

we know that

The scale factor is equal to divide the length side of the image (square A'B'C'D') by the length side of the pre-image (square ABCD)

Let

z ---> the scale factor

x----> the length side of the image (square AB'C'D')

y----> the length side of the pre-image (square ABCD)

[tex]z=\frac{x}{y}[/tex]

we have

[tex]x=2\ units\\y=6\ units[/tex]

substitute

[tex]z=\frac{2}{6}[/tex]

simplify

[tex]z=\frac{1}{3}[/tex]

The scale factor is less than 1, so the dilation is a reduction

therefore

The scale factor is 1/3

Answer:

Greater than the original value because it increases is more than the decrease

Step-by-step explanation:

Answer:

Overall, a 200% increase.

Step-by-step explanation:

Quantity after a 50% increase would be 1.50x, where x is the starting value.

if a 33.33% increase were to follow, then the final quantity would be

1.3333(1.50x), or just barely under 2x (representing an increase of 200% in x).

Answer:

B. There is one boy for every 6 girls in class.

Step-by-step explanation:

When you have a ratio, it compares two numbers. When you have a ratio 1:6 the colon (:) there can be read as "is to" or "for every".

That means that ratio can be read as 1 is to 6 or "there is 1 for every 6."

In this case 1:6 represents the number of boys to the number of girls to class. This means that there is 1 boy for every 6 girls in class.

Answer:

choose b or d

Step-by-step explanation:

Answer:

So each interior angle measurement of the regular triangle is 60 degrees.

Step-by-step explanation:

If the triangle is regular, this means all the side measurements are congruent to each other and that all the angle measurements are congruent to each other.

If the sum of the angles in a triangle is 180 degrees and you know they are each the same then you could either solve x+x+x=180 or know we are just dealings with an equiangular triangle in which all angles have measurement 60 degrees.

If need more convincing, let's actually solve:

x+x+x=180

3x=180

x=180/3

x=60

So each interior angle measurement of the regular triangle is 60 degrees.

Answer:

A. is False

B. is True

C. is False

D. is False

Step-by-step explanation:

Its absolute value so that means all numbers are now positive only with the ones that are with the double lines

Answer:

The integers are -13 and -12

Step-by-step explanation:

Let

x ----> the first consecutive negative integer

x+1 ----> the second consecutive negative integer

we know that

[tex]x(x+1)=156[/tex]

Apply the distributive property

[tex]x^2+x=156\\x^2+x-156=0[/tex]

The formula to solve a quadratic equation of the form

[tex]ax^{2} +bx+c=0[/tex]

is equal to

[tex]x=\frac{-b(+/-)\sqrt{b^{2}-4ac}} {2a}[/tex]

in this problem we have

[tex]x^2+x-156=0[/tex]  

so

[tex]a=1\\b=1\\c=-156[/tex]

substitute in the formula

[tex]x=\frac{-1(+/-)\sqrt{1^{2}-4(1)(-156)}} {2(1)}[/tex]

[tex]x=\frac{-1(+/-)\sqrt{625}} {2}[/tex]

[tex]x=\frac{-1(+/-)25} {2}[/tex]

[tex]x_1=\frac{-1(+)25} {2}=12[/tex]  ----> the solution cannot be a positive number

[tex]x_1=\frac{-1(-)25} {2}=-13[/tex]

therefore

[tex]x=-13\\x+1=-12[/tex]

Answer: C

Step-by-step explanation:

y<x-1

so you looking at the region below the line but not including it so graph c is good

Answer:

If you need proof here it is

The dimensions of the tennis court are:

Length = 14 m

Length = 14 mWidth = 10 m

Let the width be y.

From the question given above,

The length is 6 meters less than twice it’s width. This can be obtained written as:

Area = 140 m²

Dimension = Area = Length × width

140 = (2y – 6)y

140 = 2y² – 6y

Rearrange

2y² – 6y – 140 = 0

Divide through by 2

y² – 3y – 70 = 0

y² – 3y – 70 = 0

y² – 10y + 7y – 70 = 0

Factorize

y(y – 10) + 7(y – 10) = 0

(y – 10)(y + 7) = 0

y – 10 = 0 or y + 7 = 0

y = 10 or –7

Since measurement can not be negative,

Width = y = 10 m

Length = 2y – 6

y = 10

Length = 2(10) – 6 = 20 – 6

Therefore, the dimensions of the tennis court are

Length = 14 m

Length = 14 mWidth = 10 m

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Answer:

B

Step-by-step explanation:

Square root of 72=

8.485281474

A. 6

B. 6 square root 2=

8.485281474

C. 36

D. square root of 6=

2.449489743

Answer:4000 deposit times 0.5 interest is 2,000. 2,000 x4 = 8,000 for 4 years.

Step-by-step explanation:

Answer:

Subtract equation 1 from equation 2

Step-by-step explanation:

Solve the following system:

{3 x + 4 y = 12 | (equation 1)

3 x = 2 y - 8 | (equation 2)

Express the system in standard form:

{3 x + 4 y = 12 | (equation 1)

3 x - 2 y = -8 | (equation 2)

Subtract equation 1 from equation 2:

{3 x + 4 y = 12 | (equation 1)

0 x - 6 y = -20 | (equation 2)

Divide equation 2 by -2:

{3 x + 4 y = 12 | (equation 1)

0 x+3 y = 10 | (equation 2)

Divide equation 2 by 3:

{3 x + 4 y = 12 | (equation 1)

0 x+y = 10/3 | (equation 2)

Subtract 4 × (equation 2) from equation 1:

{3 x+0 y = (-4)/3 | (equation 1)

0 x+y = 10/3 | (equation 2)

Divide equation 1 by 3:

{x+0 y = (-4)/9 | (equation 1)

0 x+y = 10/3 | (equation 2)

Collect results:

Answer:  {x = -4/9 , y = 10/3

Answer:42000

Step-by-step explanation:

There is no number higher than 5 after the thousands so you would keep it the same

Answer:

Both the zoo-keepers are correct.

Step-by-step explanation:

The first zoo keeper uses the equation:

x - 41.5 = 13.5

⇒ x = 13.5 + 14. 5 = 55

Now, the second zoo- keeper uses the equation:

41.5 + 13.5 = x

⇒ x = 55

Both use x = 55.

Answer:

Both zookeepers are correct because they have equivalent equations. Both of the equations will give a healthy speed of 55 km/hr

Step-by-step explanation:

examples response

Answer:

6y^3+17y^2+22y+15

Step-by-step explanation:

(2y+3)(3y^2+4y+5)

6y^3+8y^2+10y+9y^2+12y+15

6y^3+17y^2+22y+15

Answer:

B. 6y^3+17y^2+22y+15

Step-by-step explanation:

Vi walks 2 miles on first day, 2 miles on second day, 8 miles on third and fourth day and 1 mile on fifth day.

Step-by-step explanation:

Let,

x be the distance walked by Vi.

Therefore,

On first day = x

Second day = x

On days three and four,Vi walks twice as long as on the first two days

Third and fourth day = 2(x+x) = 2(2x) = 4x

On fifth day = half of first day = [tex]\frac{1}{2}x[/tex] = 0.5x

Total distance = 13 miles

Therefore,

[tex]x+x+4x+0.5x =13\\6.5x=13[/tex]

Dividing both sides by 6.5

[tex]\frac{6.5x}{6.5}=\frac{13}{6.5}\\x=2[/tex]

Distance on first day = x = 2 miles

second day = x = 2 miles

third and fourth day = 4x = 4(2) = 8 miles

fifth day = 0.5x = 0.5(2) = 1 miles

Vi walks 2 miles on first day, 2 miles on second day, 8 miles on third and fourth day and 1 mile on fifth day.

Keywords: distance, addition

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Answer:

1 pound of apples cost $3.69,

1 gallon of gasoline for $3.68,

1 magazine for $3.65,

1 sandwich for $3.62.

Step-by-step explanation:

40.59/11=3.69

44.16/12=3.68

54.75/15=3.65

50.68/14=3.62

11 pounds of apples for $40.59 Equation: t = $3.69n. 12 gallons of gasoline for $44.16 Equation: t = $3.68n. 15 magazines for $54.75 Equation: t = $3.65n. 14 sandwiches for $50.68 Equation: t = $3.62n with arrowBoth.

To match the proportional relationships to their corresponding equations:

1. 11 pounds of apples for $40.59

  - The cost per pound is [tex]\( \frac{40.59}{11} \approx 3.69 \).[/tex]

  - Equation: t = $3.69n

2. 12 gallons of gasoline for $44.16

  - The cost per gallon is [tex]\( \frac{44.16}{12} \approx 3.68 \).[/tex]

  - Equation: t = $3.68n

3. 15 magazines for $54.75

  - The cost per magazine is [tex]\( \frac{54.75}{15} \approx 3.65 \).[/tex]

  - Equation: t = $3.65n

4. 14 sandwiches for $50.68

  - The cost per sandwich is [tex]\( \frac{50.68}{14} \approx 3.62 \).[/tex]

  - Equation: t = $3.62n

In each case, the equation t = kn represents the proportional relationship, where k is the constant unit rate of cost per item. The arrowBoth indicates the direction of the proportional relationship.

Answer:

1/12

Step-by-step explanation:

The whole circumference (i.e complete circle) is an arc which measures 360°

in our case, it is given that our arc measures only 30°

the fraction of our arc of 30° to the complete circle of 360° is

30/360

= 3/36

= 1/12

Answer:

32 chairs in each row

The drawing will help.

To find out how many chairs are in each row, divide the total number of chairs by the number of rows. In this case, there are 16 rows and 512 chairs in total, so there are 32 chairs in each row.

To find out how many chairs are in each row, you need to divide the total number of chairs by the number of rows. In this case, there are 16 rows and 512 chairs in total. So, you can divide 512 by 16 to find out how many chairs are in each row. The result is 32. Therefore, there are 32 chairs in each row of the auditorium.

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Answer:

[tex]k=\pm9,p=-23[/tex]

Step-by-step explanation:

Given:

The equation is:

[tex]81y - 17 = k^2y + 6+p[/tex]

Here, the left hand side of the equation will be equal to that of the right hand side only if the coefficients of 'y' are same on both sides and the constant terms are also equal to each other.

Therefore,

[tex]81=k^2\ and\ -17=6+p[/tex]

Solving each for 'k' and 'p'.

[tex]k^2=81\\\textrm{Taking square root on both the sides}\\\sqrt{k^2}=\pm\sqrt{81}\\k=\pm9.......(\sqrt{81}=9)[/tex]

[tex]-17=6+p\\\textrm{Adding -6 on both the sides}\\-17-6=p+6-6\\p=-23[/tex]

Therefore, the values of 'k' are -9 and 9. Value of 'p' is -23.

Final answer:

The amount of each semi-annual interest payment that Mr. Davis receives for his fifty $1,000 bonds at an 8.5% annual interest rate is $2,125.

Explanation:

Mr. Davis purchased fifty $1,000 bonds at 96.50, and the annual interest rate is 8.5%.

To calculate the semi-annual interest payment on a bond, you first need to determine the annual interest amount per bond, and then divide it by two, because interest is paid semi-annually.

First, find the annual interest for a single bond: $1,000 x 0.085 = $85.

Since Mr. Davis owns 50 bonds, the total annual interest for all bonds is 50 x $85 = $4,250.

Now, to find the semi-annual interest payment, divide the total annual interest by 2:

$4,250 / 2 = $2,125.

Therefore, the amount of each semi-annual interest payment that Mr. Davis receives is $2,125.

Answer:

Step-by-step explanation:

The slope of a line characterizes the direction of a line. To find the slope, you divide the difference of the y-coordinates of 2 points on a line by the difference of the x-coordinates of those same 2 points .

Answer:

slope = - [tex]\frac{2}{3}[/tex]

Step-by-step explanation:

Calculate the slope m using the slope formula

m = (y₂ - y₁ ) / (x₂ - x₁ )

with (x₁, y₁ ) = (0, 3) and (x₂, y₂ ) = (3, 1) ← 2 points on the line

m = [tex]\frac{1-3}{3-0}[/tex] = - [tex]\frac{2}{3}[/tex]

Answer:

the last one

(-15)x12

hope this helps!