Budget
8.) If Peter Gower paid $650 for rent
monthly for an entirely year, how
much should he budget for rent
each month?
Answer:
I
(a) $108.33
(b) $54.17
(c) $7.800
(d) $650

Answer:

About 0.642

Step-by-step explanation:

Answer:

C = 10π

Step-by-step explanation:

C = Dπ

D = 10

C = 10π

Answer:

see below

Step-by-step explanation:

The circumference of a circle is given by

C = pi *d

C = 10 pi m

We can approximate pi by 3.14

C = 3.14 * 10

C =31.4m

or we can approximate pi by using the pi button

C =31.41592654m

Answer:

D

Step-by-step explanation:

Answer:

63.2 = y

Step-by-step explanation:

The perimeter is the sum of all the sides

P = 7.8+ y+37.6 + y

171.8 = 7.8+ y+37.6 + y

Combine like terms

171.8 = 45.4 + 2y

Subtract 45.4 from both sides

171.8-45.4 = 45.4 + 2y -45.4

126.4 = 2y

Divide each side by 2

126.4/2 = 2y/2

63.2 = y

Solution,

radius=21 cm

Circumference of circle=2 pi r

=2*3.142*21

=131.964 cm

hope it helps

Good luck on your assignment

Answer:

  (-2, 5)

Step-by-step explanation:

The form you're trying to match is the vertex form of the equation of a parabola:

  y = a(x -h)^2 +k . . . . . . . vertex (h, k)

You have ...

  y = -4(x +2)^2 +5

Comparing forms, you see that a=-4, h=-2, k=5.

Then the vertex (h, k) is (-2, 5).

Answer:

The answer is A.

Step-by-step explanation:

First, recall the vertex form of a quadratic equation: [tex]f(x)=a(x-h)^2+k[/tex], where [tex]h[/tex] represents the horizontal change and [tex]k[/tex] represents the vertical change.

The original equation is [tex]g(x)=x^2[/tex], or, in other words, [tex]g(x)=1(x-0)^2+0[/tex].

We are told that the graph is shifted up 3 and right 1. Thus, both values are positive (right and up). Note that up 3 corresponds to a positive vertical change of 3 while right 1 represents a positive horizontal change of 1.

Thus, put these back into the equation in place of [tex]h[/tex] and [tex]k[/tex].

We have:

[tex]f(x)=1(x-(+1))^2+(+3)[/tex]

Or, simplified:

[tex]f(x)=(x-1)^2+3[/tex]

The answer is A.

Answer:

52

Step-by-step explanation:

24+28 = 52

52 - 24 = 28

Solution,

42+7x+12x-8

Combine like terms,

= 7x+12x+42-8

Simplify

=19x+34

hope it helps

Good luck on your assignment

Answer:

36+19x

Step-by-step explanation:

Ok, first, combine like terms, so the two values with X.

42 + 7x + 12x – 8

42 +19x – 8

Now, we combine the two values that have no X

42+19x– 8  Imagine there is a plus sign in front of the 42 because it's positive.

So 42-8=36

36+19x

That's your solution, that's the most this can be simplified.

Answer:

a. lts diameter = 13.540550005146 cm

b. Its circumference​ = 42.538892421732 cm

Step-by-step explanation:

suppose A the area ; d the Diameter ; P the circumference and r the radius

A = πr²

P = d×r = 2πr

then

r² = A/π = 144÷π = 45.836623610466

then

→ r = √(45.836623610466) = 6.770275002573

d = 6.770275002573×2 = 13.540550005146

→ P = 13,.540550005146×π = 42.538892421732

Answer:

6 ≤ b.

(6).

Step-by-step explanation:

So, we are given in the question that the amount that Myra wants to say is $500 at the end of her summer vacation and she has saved up to $350. Thus, it remain ($500 - $350 = $150) for completion.

Also, "She can earn $25 cutting a lawn in her neighborhood."

Therefore, the total amount of money she wants to save = a = 500. Then,

Total amount of money, a = 350 + 25b.

500 = 350 + 25b.

=> 500 ≤ 350 + 25b.

Note that the ' =' sign has changed to '≤' sign since she wants that amount(at least). Also, the question specified that she used inequality.

Hence, the amount remaining for it to complete is $150. Therefore;

150 ≤ 25b.

6 ≤ b.

Thus, Myra will have to mow at least 6 lawns

Answer:

6

Step-by-step explanation:

Took the quiz on edge!

Answer:

1.  D) 75 inches

2. A)  27 square feet

Step-by-step explanation:

1.  You need to convert 6 feet to inches.  In one foot, there are 12 inches.  Multiply 6 by 12 to find the number of inches in 6 feet.  Add 3 inches to the product to find the total number of inches.

6 × 12 = 72

72 + 3 = 75

You will have 75 inches in total.

2.  Use the formula to solve.  You are given the base and the height already.  Simply plug in and solve.

A = 1/2BH

A = 1/2(6)(9)

A = 3(9)

A = 27 ft²

The area is 27 ft².

Answer:

Step-by-step explanation:

Step-by-step explanation:

To find the inverse we just switch f(x) and x so we get :

x = 2f(x) + 1

2f(x) = x - 1

h(x) = 1/2x - 1/2

Hope this helps!

Answer:

x = 2f(x) + 1

2f(x) = x - 1

h(x) = 1/2x - 1/2

Step-by-step explanation:

Answer:

Problem: 3x/5x + 5 ≤ 8 + 2x

Solution: x ≥ -15/7

Step-by-step explanation:

Example of this inequality is:

3x/5x + 5 ≤ 8 + 2x

3x/5x - 2x ≤ 8 - 5

(3x - 10x)/5 ≤ 3

-7x ≤ 15

x ≥ -15/7

Answer:

$80 for 1 pair of shoes

divide $960 by 12

Answer:

volume= 5,184 cubic inches

Step-by-step explanation:

Answer: Rectangular pyramid

Step-by-step explanation:

When you think about it, a pyramid has 3 faces that are triangular!

If you found this answer helpful, give it a five-star rating and a thanks! I would really appreciate it!

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Answer:

  [-4, 9]

Step-by-step explanation:

The range is the vertical extent of the relation.

__

The minimum value of g is marked by the solid dot at (x, y) = (4, -4). That minimum is -4.

The maximum value of g is the peak at (x, y) = (-2, 9). That maximum is 9.

The function is continuous between these values, so the range includes all values between -4 and +9, inclusive.

  range: [-4, 9]

Answer:

Step-by-step explanation:

range: [-4, 9]

Answer:

~10.8 (ft)

Step-by-step explanation:

Apply the Pythagorean theorem, you can work out the measure of diagonal.

[tex]Diagonal = \sqrt{9^{2}+6^{2} } =\sqrt{81 + 36} =\sqrt{117} =~10.8(ft)[/tex]

The measure of the diagonal of a rectangle is 10.8 feet.

The Pythagoras theorem which is also referred to as the Pythagorean theorem explains the relationship between the three sides of a right-angled triangle. According to the Pythagoras theorem, the square of the hypotenuse is equal to the sum of the squares of the other two sides of a triangle.

Given that, a rectangle measures 9 feet by 6 feet.

Let the length of diagonal be x.

x²=9²+6²

x²=81+36

x²=117

x=√117

x=10.8 feet

Therefore, the measure of the diagonal of a rectangle is 10.8 feet.

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Answer:

The Sum of two number is 15: x + y = 15

One of the numbers is 12 times the other: x = 12y:

System of equations:

x + y = 15

x = 12y

Plug x = 12y into equation one(x + y = 15)

12y + y = 15

13y = 15

y = 15/3

y ≈  1.15

Now we know x = 12y

x = 12(15/13) = 180/13

x = 180/13

x ≈ 13.85

The biggest number is x = 180/13.

Answer:

x = 5

Step-by-step explanation:

Since TV bisects (equally divides) EF hence <EKT = 90°

Also <EKT = 5x+65

So

5x+65 = 90

5x = 90-65

5x = 25

Dividing both sides by 5

x = 5

Answer:

66.67% probability that all selected components function properly

Step-by-step explanation:

A probability is the number of desired outcomes divided by the number of total outcomes.

The order in which the components are chosen is not important. So we use the combinations formula to solve this question.

Combinations formula:

[tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

In this question:

Desired outcomes:

2 components which function properly, from a set of 5. So

[tex]D = C_{5,2} = \frac{5!}{2!(5-2)!} = 10[/tex]

Total outcomes:

2 components, from a set of 6. So

[tex]T = C_{6,2} = \frac{6!}{2!(6-2)!} = 15[/tex]

Probability:

[tex]p = \frac{D}{T} = \frac{10}{15} = 0.6667[/tex]

66.67% probability that all selected components function properly

Answer:

calculate the area of a square using the length * width formula, and then add the areas of the other triangles, of which you can calculate by using the base * height formula

Step-by-step explanation:

Answer:

Multiply the side length of the base by the slant height and divide by two. Then, multiply by 4. This will give you the lateral surface area of the pyramid.Step-by-step explanation:

Answer:

The y-intercept of the line is 2

Step-by-step explanation:

You could try to find the slope of the line and then find the intercept with y axis by sloving b = y - ax

But here it seems easy enough once you see that the x values in the table increase by a factor of 8 and the y values in the table increase by a factor of 20.

(By the way, this is enough to give you the slope, because it is 8/20 ). But why bother?

Just extrapolate the table to the left, and you will find the y value where x = 0

x 0 8 16 24 32

y 2 22 44 64 84

So the y-intercept of the line is 2.

Extra:

The full equation of the line is:

y = 8/20x + 2

Answer:

(0,4)

Step-by-step explanation:

Answer:

56 and 42

Step-by-step explanation:

3:4

3 + 4 = 7

98 / 7 = 14

14 x 3 = 42

14 x 4 =  56

56 + 42 = 98

The dimensions of the pool can be categorized as below:

Length equals 28 feet

Width equals 21 feet

The perimeter of a rectangle is the outside length of the rectangle. To find the perimeter we add all the 4 sides of the rectangle.

Perimeter = 2(length) + 2 (width )

The ratio of the width to the length is 3:4. The width of the rectangle is 3x  

We know,

Length of the rectangle is 4xWidth =3x  

Length = 4x

Substitute it in the perimeter formula and solve for x.

Given that,

Perimeter of a rectangle = 98 feet

Perimeter = 2(length )+2(width)

98 = 2(4x)+2(3x)

98 = 8x+6x

98 = 14x

∵ x = 7

Now, we will find out the length and width of the pool.

Length = 4x

= 4(7)

= 28 ft.

and,

Width = 3x

= 3(7)

= 21 ft.

Thus, the length of the pool is 28 feet and the width of the pool is 21 feet

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Answer:

a) The observed proportion of wallets that were returned

  p = 0.45625

b) 95% of confidence intervals for Population proportion

 0.40168  , 0.51082)

c) The lower bound of the 95% confidence interval = 0.40168

d) The upper bound of the 95% confidence interval = 0.51082

Step-by-step explanation:

Step(i):-

a)

Given data the  researchers left a total of 320 wallets around Edinburgh, as though the wallets were lost. Each contained contact information including an address. Of the wallets, 146 were returned by the people who found them

Given sample size 'n' = 320

  Given data          'x ' = 146

Sample proportion

              [tex]p = \frac{x}{n}[/tex]

             [tex]p = \frac{x}{n} = \frac{146}{320} = 0.45625[/tex]

Step(ii):-

b) 95% of confidence intervals for Population proportion

Level of significance = 95% or 0.05%

[tex]Z_{\frac{\alpha }{2} } = Z_{\frac{0.05}{2} } = Z_{0.025} = 1.96[/tex]

95% of confidence intervals for Population proportion are determined by

[tex](p - Z_{0.025} \frac{\sqrt{p(1-p)} }{\sqrt{n} } , p + Z_{0.025} \frac{\sqrt{p(1-p)} }{\sqrt{n} })[/tex]

[tex](0.45625 - 1.96\frac{\sqrt{0.45625(1-0.45625)} }{\sqrt{320} } , 0.45625 + 1.96\frac{\sqrt{0.45625(1-0.45625)} }{\sqrt{320} })[/tex]

(0.45625 - 0.05457 , 0.45625 + 0.05457)

(   0.40168  , 0.51082)

c) The lower bound of the 95% confidence interval = 0.40168

d) The upper bound of the 95% confidence interval = 0.51082

Answer:

0.89

Step-by-step explanation:

First, let’s find out what one tomato costs. To do this, we need to find the unit rate.

To find the unit rate, divide the cost by the number of tomatoes.

cost/number of tomatoes

It costs $3.55 for 24 tomatoes.

cost=3.55

number of tomatoes=24

Substitute these values in.

3.55/24

0.147916666666667

Each tomato costs $0.147916666666667

Now, we have to find out what 6 tomatoes cost.

Multiply the number of tomatoes by the cost of one tomato

number of tomatoes * cost of one

number of tomatoes=6

cost of one= 0.147916666666667

Substitute these values in.

6* 0.147916666666667

0.8875

Round to the nearest cent or hundredth.

The 7 in the thousandth place tells us to round the 8 in the hundredth place up to a 9.

0.89

6 tomatoes will cost about 0.89.

Answer:

Step-by-step explanation:

At the point (0, 1,0) t = 0

Find the tangent vector:

[tex]\frac{dx}{dt}= 1[/tex]

[tex]\frac{dy}{dt}= -4e^{-4t}[/tex]

[tex]\frac{dz}{dt}=5-5t^4[/tex]

The tangent vector for all points [tex]\vec v(t)[/tex] is

[tex]\vec v(t) = \hat {i}-4e^{-4t}\hat{j}+(5-5t^4)\hat{k}[/tex]

[tex]\rightarrow \vec v (0)= \hat{i}-4\hat{j}[/tex]

The vector equation of the tangent line is

[tex](x,y,z) = (0,1,0)+s(\hat{i}-4\hat{j})[/tex]

The parametric equation for this line are

[tex]x= s[/tex]

[tex]y=1-4s[/tex]

[tex]z=0[/tex]

Parametric equations for the tangent line to the curve with the given parametric equations at the specified point are

x=s

y=1-4s

z=0

In mathematics, a parametric equation defines a group of quantities as functions of one or more independent variables called parameters.

At the point (0, 1,0) t = 0

Find the tangent vector:

[tex]\dfrac{dx}{dt}=1[/tex]

[tex]\dfrac{dy}{dt}=-4e^{-4t}[/tex]

[tex]\dfrac{dz}{dt}=5-5t^4[/tex]

The tangent vector for all points  is

[tex]v(t)=i-4e^{-4t}j+(5-5t^4)k[/tex]

[tex]v(0)=i-4j[/tex]

The vector equation of the tangent line is

[tex](x,y,z)=(0,1,0)+s(i-4j)[/tex]

The parametric equation for this line is

[tex]x=s\\\\y=1-4s\\\\z=0[/tex]

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