The track is 9.76 m wide all the way around. What is the distance around the outside of the track? Explain or show your reasoning.

A perfect square refers to a number that is the result of multiplying an integer by itself. In this case, 6^1 is equal to 6.

However, 6 is not a perfect square because it cannot be obtained by multiplying an integer by itself. The perfect squares up to 6^1 would be 1^2 = 1 and 2^2 = 4.

Answer:

The total cost was $182.91.

Step-by-step explanation:

Tax formula:

tax=tax percentage×amount

Tip formula:

tip=tip percentage×amount

solve

First find the tax. Write 14% as the decimal 0.14 before using it in the equation.

tax

= tax percentage×amount

= 0.14×136.50

= 19.11

The tax was $19.11.

Now find the tip. Write 20% as the decimal 0.20 before using it in the equation.

tip

= tip percentage×amount

= 0.20×136.50

= 27.3

The tip was $27.30.

Finally, find the total cost.

total cost

= cost + tax+tip

= 136.50+19.11+27.30

= 182.91

Answer:

182.91

Step-by-step explanation:

The alternate interior angles are located on the inner side of the parallel lines, but on the opposite sides of the transversal.

In this case, the alternate interior angles are:

angles 2 and 7

angles 3 and 6

Answer: A. Angles 3 and 6

The length of each side of the wood is 5 centimetres.

Doug has 8 square pieces of wood. Each piece of wood have a side length of s cm. The total area of all 8 pieces of wood is 200 cm².

Hence, using quadratic equation let's find the length of each side of the wood.

Therefore,

8s² = 200

Hence,

8s² = 200

divide both sides of the equation by 8

s² = 200 / 8

s² = 25

s = √25

s = 5 centimetres

learn more on quadratic equation here: https://brainly.com/question/22364785

#SPJ1

Since we know the sequence is quadratic, we expect the \(n\)-th term to have the general form

\(x_n = an^2 + bn + c\)

Plug in the first 3 known values of the sequence to form a system of equations.

\(x_1 = 3 = a + b + c\)

\(x_2 = 12 = 4a + 2b + c\)

\(x_3 = 25 = 9a + 3b + c\)

Eliminating \(c\) gives

\((4a + 2b + c) - (a + b + c) = 12 - 3 \implies 3a + b = 9\)

\((9a + 3b + c) - (a + b + c) = 25 - 3 \implies 8a + 2b = 22 \implies 4a + b = 11\)

Eliminating \(b\) gives

\((4a + b) - (3a + b) = 11 - 9 \implies a = 2\)

Solving for \(b,c\), we get

\(4a + b = 11 \implies b = 11-4\cdot2 = 3\)

\(a+b+c=3 \implies c=3-2-3 = -2\)

So, the \(n\)-th term of the sequence is

\(x_n = \boxed{2n^2 + 3n - 2}\)

Step-by-step explanation:

For the Cranberry Scones you all add 14 with it so 14+28=42 42+14=56 56+14=70 70+14=84. So, the answers on Cranberry scones are

28    42      56      70      84  

Orange scones you add 11 to all of them so 11+16=27 27+11=38 38+11=49 49+11=60.So the answer on Orange Scones is

16      27      38      49      60

Answer:

A = Length × breath

A = 3 × 7

A = a × 4

A = m × m

Step-by-step explanation:

\({ \purple{ \tt{(X₁ + X₂)²}}}\)

This above problem is in the form of

\({ \blue{ \tt{ {(a + b)}^{2}}}}\)

where the expanded form of

\({ \blue{ \tt {(a + b)}^{2}}} = { \green{ \bold{ {a}^{2} + {b}^{2} + 2ab}}} \)

then the (X₁ + X₂)² answer will be

\({ \purple{ \tt{(X₁ + X₂)²}}} = { \purple{ \tt{ {X₁}^{2} + {X₂}^{2} + 2X₁X₂}}}\)

Answer:

Step-by-step explanation: here I am pretty sure it is 6

Answer:

18.22

Step-by-step explanation:

a. In interval notation, Increasing intervals: (12pm, 1pm) U (1pm, 2pm) U (2pm, 3pm). Decreasing intervals: (8am, 9am) U (11am, 12pm). Constant intervals: (9am, 10am) U (10am, 11am)

b. The increase in cost between 12 noon and 3 pm is $2.

c. Yellow Cab has a lower price per 1km than Swift ride at (8am, 9am) (9am, 10am) (2pm 3pm)

Interval notation is used to represent continuous intervals of numbers or values, like ranges on a number line.

The graph shows that from 8-9am, and 11-12pm, the cost from Swift Ride decreases.

We can represent it as (8am, 9am) U (11am, 12pm).

It increases at these times (12pm, 1pm) U (1pm, 2pm) U (2pm, 3pm).

And stays constant at : (9am, 10am) U (10am, 11am)

We simply deduct the 12pm's cost from 3pm's cost.

So, we have

Cost increase = $3.5 - $1.5

Evaluate the difference

Cost increase = $2

Hence, the cost increase is $2

When you plot the points provided for Yellow cab, you'll notice that Yellow Cab has a lower price per 1km than Swift ride at (8am, 9am) (9am, 10am) (2pm 3pm)

Find more exercises on Interval notation;

https://brainly.com/question/17249352

#SPJ1

Answer:

y = -2x + 5

Step-by-step explanation:

1. Find the slope:  \(\frac{-3-1}{4-2}=\frac{-4}{2}=-2\)

2. Find the y-intercept: 1 = -2(2) + b  ⇒  1 = -4 + b  ⇒  5 = b

3. Use the slope and y-intercept found in steps 1 and 2 to complete the equation in the form y = mx + b:  y = -2x + 5

Answer:

113

Step-by-step explanation: 113 is the prime number in between those numbers, thats the only one

Answer:

113

Step-by-step explanation:

1. Find the prime numbers between 110 and 125

A prime number is a number, greater than 1, that is not a product of two other numbers. The prime numbers near 110 and 125 include 107, 109, 113, and 127. However, only 113 lies between 110 and 125. So there is no sum because there is only 1 prime number.

Answer:

A. 3(2x - 12) = 2(3 + 2x - 12)

B. Length = 6, width = 3

Step-by-step explanation:

l = 2x - 12

w = 3

Area = 3(2x - 12)

Perimeter = 2(3 + 2x - 12)

if A = P

3(2x - 12) = 2(3 + 2x - 12)

6x - 36 = 6 + 4x - 24

6x - 4x = 6 - 24 + 36

2x = 18

x = 9

Length = 2x - 12 = 2(9) - 12 = 18 - 12 = 6

Answer:

A CD, or certificate of deposit, is a type of savings account with a fixed interest rate that's usually higher than a regular savings account, a fixed term length and a fixed date of withdrawal, known as the maturity date. You lock up funds in a CD for a term generally between three months and five years.

Step-by-step explanation:

Answer:

0

Step-by-step explanation:

\(2\sqrt[3]{(1-3x)} =6-4=2\\\sqrt[3]{(1-3x)}=\frac{2}{2} =1\\\sqrt[3]{(1-3x)}^{3} =1^{3} \\(1-3x)=1\\-3x=0\\x=0\)

Answer:

x<3 and x<5

Step-by-step explanation:

Given the quadratic inequality x² - 8x + 15 <0, to get the solution set for the inequality, the following steps must be followedStep 1: Factorize the quadratic expression

x² - 8x + 15 <0

x² - 3x - 5x + 15 <0

x(x - 3) - 5(x - 3)  <0

(x -3)(x -5)< 0

x -3<0 and x -5<0

x< 3 and x< 5

Answer:

$595

e) If the company insures a large number of these cars, they can expect the average cost per car to be approximately E(C).

Step-by-step explanation:

Given the distribution :

C $0 $500 $1000 $2,000

P(C) 0.60 0.05 0.13 0.22

Expected probability : E(C)

Σ[C * P(C)] = (0*0.60) + (500*0.05) + (1000*0.13) + (2000*0.22) = $595

Since the expected value could be interpreted as the average value of a random variable over a large Number of experiment or trials

Answer:

x=3; y=0

Step-by-step explanation:

The median will be greater than the mean in a left-skewed distribution

We have,

In statistics, skewness is a measure of the asymmetry of a probability distribution around its mean.

A distribution is said to be skewed left if it has a long tail on the left side and the bulk of the data is on the right side.

When the data is skewed left, it means that the distribution is being pulled towards the left side.

This is because there are a few extreme values on the left side that are pulling the mean in that direction.

In contrast, the median is the middle value of the dataset, and it is not influenced by outliers.

For a left-skewed distribution,

The median will be greater than the mean because the mean is being pulled towards the left by the few extreme values.

In a data distribution that is skewed left, the mean will be less than the median.

This is because the mean is sensitive to outliers and is pulled towards the direction of the skewness, while the median is not affected by extreme values and is a more robust measure of central tendency.

Therefore,

The median will be greater than the mean in a left-skewed distribution

Learn more about the median here:

https://brainly.com/question/28060453

#SPJ1

Answer:

Vw=6

Step-by-step explanation:

The numerical length of VW is 16 units.

Arithmetic operations can also be specified by adding, subtracting, dividing, and multiplying built-in functions. The operator that performs the arithmetic operation is called the arithmetic operator.

Operators which let do a basic mathematical calculation

+ Addition operation: Adds values on either side of the operator.

For example 12 + 2 = 14

- Subtraction operation: Subtracts the right-hand operand from the left-hand operand.

For example 12 -2 = 10

Given VW = 5x-4,

VW = 5x−4,

UV = 2x, and

UW = 5x,

By segment addition postulate:  UV + VW = UW

Substituting expressions given for each:

⇒ 2x + 5x − 4 = 5x

⇒ 2x = 4

⇒ x = 4

So, VW = 5(4) - 4

VW = 20 - 4

VW = 16

Hence, the numerical length of VW is 16 units.

Learn more about the arithmetic operations here:

brainly.com/question/25834626

#SPJ2

Answer:

The answer of 350 divided by 14 is 25.

Step-by-step explanation:

Answer:

solid line, shading above line

Step-by-step explanation:

It is a solid line because there is a "greater than or equal to" symbol in the inequality.

Answer:

A. AAS

Step-by-step explanation:

In both triangles, the line mn and jh are congruent, the angles k and g are congruent, and h and m are congruent.

Answer:

  62,400 J

Step-by-step explanation:

As the problem statement tells you, the work done to lift the mass is the product of the force applied and the distance the mass is lifted. Here, the force decreases as the height of the mass increases.

For x meters of exposed cable, the force required to lift it is 3x newtons. The force required to lift the object is 1500 newtons, so the total force required to lift the masses an incremental distance (dx) is (3x +1500) newtons.

The work done lifting the mass that distance is the product of force and distance. The total work done is the integral of the incremental work over the total of distance lifted:

  \(\displaystyle W = \int_0^{40}(3x+1500)\,dx\)

The value of the integral is ...

  \(\displaystyle W=\left.\left(\dfrac{3}{2}x^2+1500x\right)\right|_{x=0}^{x=40}=40\left(\dfrac{1}{2}(3\cdot40)+1500\right)=62\,400\qquad\text{joules}\)

The work done to lift the cable and weight is 62,400 joules.

__

Additional comment

One reason for writing the integral evaluation this way is to demonstrate that the total of work done is that required to lift the weight (1500 N, 40 m) and that required to lift the center of mass of the cable (120 N, 20 m).

This will generally be the case for "disappearing mass" or "increasing distance" problems. Pumping from a pool is a similar kind of problem with a similar kind of solution.

Effectively, you're doing work on the center of mass of the system, moving it from its initial position to the top of the building.

\(A_{\triangle}=\dfrac{1}{2}\cdot 12\text{ in}\cdot 4\text{ in}=24\text{ in}^2\\\\A_{\square}=12\text{ in}\cdot 9\text{ in}=108\text{ in}^2\\\\A_{\text{Figure}}=A_{\triangle}+A_{\square}=24\text{ in}^2+108\text{ in}^2=132\text{ in}^2\)

Answer:

132

Step-by-step explanation:

First calculate the area of the triangle, Triangle area formula is 1/2 B x H meaning we'd have to do 4 x 12 which gives us 48. Then we half 48 and get 24. We then calculate the area of the rectangle which is L x W so we do 9x 12 and get 108 we add the two numbers and get 132.