What is the side length of a cube that has a volume of 343 cubic cm?

Allison purchased lemons for $0.75 each.

The equation of line in point-slope form passing through the points

(x₁ , y₁) and (x₂, y₂) with slope m is defined as;

⇒ y - y₁ = m (x - x₁)

Where, m = (y₂ - y₁) / (x₂ - x₁)

Given that;

The graph is showing.

Now, Two point on the line are (4, 3) and (8. 6)

Hence, Equation of line is,

⇒ y - 3 = (6 - 3) / (8 - 4) (x - 4)

⇒ y - 3 = 3/4 (x - 4)

⇒ 4 (y - 3) = 3 (x - 4)

⇒ 4y - 12 = 3x - 12

⇒ 4y = 3x

⇒ y = 3/4x

⇒ y = 0.75x

Where, y is cost and x is number of lemons.

Hence, Allison purchased lemons for $0.75 each.

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Answer:

Step-by-step explanation:

You find the answer of 20 x 15 and subtract 15.

Answer:You find the answer of 20 x 15 and subtract 15.

Step-by-step explanation:

Answer:

9) both of them are in cups measurements, plus they are both ingredients you can use to bake something.

10) both are fruits, both are a similar size.

11) both are animals, though the "41 animals" isn't specified to which animal they are.

12) both are blocks

13) both are cars, both have colors

14) both are types of people with different types of hair colors

Answer:

five almost 6 weeks

Step-by-step explanation:

brady is saving up to 245 but he already has 98 which means he needs to save 147 more dollars. Brady is making 25 a week so if you divide 147 by 25 you get 5.88 so in 6 weeks he can have a new skateboard with a couple extra doll hairs.

By a change of units, we will get that 108 mi/h = 158.4 ft/s

Here we want to transform 108 mi/h to feet per second.

Then we will use two relations:

Then we can just transform as:

108mi/h = (108*5,280 ft)/h = 570,240 ft/h

570,240 ft/h = 570,240 ft/(3,600 s) = 158.4 ft/s

So we have:

108 mi/h = 158.4 ft/s

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The solution to the following equations is given below;

y - 6 = 12

y = 12 + 6

y = 18

-5 + k = 1

k = 1 + 5

k = 6

-2g = -14

g = -14/-2

g = 7

y - 4 = 12

y = 12 + 4

y = 16

12 + u = -12

u = -12 - 12

u = -24

f - 7 = 10

f = 10 + 7

f = 17

8t = 42

t = 42/8

t = 5.25

-9 + z = 18

z = 18 + 9

z = 27

7 + w = 14

w = 14 - 7

w = 7

13 - 5 = 12

8 ≠ 12

D - 2 = -10

D = -10 + 2

D = -8

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The value of x from the equation represented by the given bar diagram is 20.

The equation is represented using the bar diagram and from the bar diagram be can observe that the equation will be the following equation mentioned below:

3.5 x + 12.5 x = 320                                        equation 1

The bar diagram represents 3.5 x + 12.5 x = 320  equation. Now we will simplify this equation and will find the value of x from this equation. The steps that need to be followed to simplify this equation are shown below;

3.5 x + 12.5 x = 320

16 x = 320

Divide both sides of equation by 16 , we will get

x = 320/16

x = 20

The value of x from the equation 3.5 x + 12.5 x = 320 is 20.

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Answer:

3

Step-by-step explanation:

eq.

1/5(12×5/6+5)

=1/5×(10+5)

=1/5×15

=3

Answer:

3

Step-by-step explanation:

Answer:

300 miles

Step-by-step explanation:

200/2.1= 95.238...

95.238...*3.15=300

Hope this helps :)

The actual distance between City C and City​ D will be 300 miles.

Dilation is the process of increasing the size of an item without affecting its form. Depending on the scale factor, the object's size can be raised or lowered. There is no effect of dilation on the angle.

The distance between City A and City B is 200 miles. A length of 2.1 feet represents this distance on a certain wall map. Then the scale factor is given as,

Scale factor = 200 / 2.1 miles per foot

City C and City D are 3.15 feet apart on this map. Then the actual distance is given as,

Distance = 3.15 x 200 / 2.1

Distance = 1.5 x 200

Distance = 300 miles

The actual distance between City C and City​ D will be 300 miles.

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AB=8.7 cm. Work out the length of BC. ... 1. Adi. Diagram NOT accurately drawn. POR is a triangle. Angle Q = 90° ... Give your answer correct to 1 decimal place. ton o. Ady ... Ad. POR is a right-angled triangle. PR = 12 cm. OR = 4.5 cm. Angle PRO = 90°. ... AB= 7 cm. BC = 12 cm. Angle BAD= 65°. Calculate the length of AC.

Answer:

The company manufactures about 350 canoes, obtaining $ 28,000 after selling them all.

Step-by-step explanation:

Given that a company that manufactures small canoes has a fixed cost of $ 14,000, and it cost $ 40 to produce each canoe while the selling price is $ 80 per canoe, to determine the number of canoes that the company produces and the amount of money it makes after selling them, the following calculation must be carried out:

14/000 / 40 = X

350 = X

350 x 80 = 28,000

Thus, the company manufactures about 350 canoes, obtaining $ 28,000 after selling them all.

The odds against Jenny winning a headset are 88.89% or 8 out of 9, and the odds in favor of Jenny winning a headset are 11.11% or 1 out of 9.

Since Jenny won a charity raffle, and her prize will be randomly selected from the 9 prizes shown below, and the prizes include 7 rings, 1 camera, and 1 headset, to find the odds against Jenny winning a headset, and find the odds in favor of Jenny winning a headset, the following calculations must be performed:

· 1 headset out of 9 total prizes

· 1/9 = headset

· 1/9 x 100 = 11.11%

· 100 - 11.11 = 88.89%

Therefore, the odds against Jenny winning a headset are 88.89% or 8 out of 9, and the odds in favor of Jenny winning a headset are 11.11% or 1 out of 9.

The correct answer is 3/2. In this case, x = 3/2, and its square, (3/2)^2 = 9/4, is rational. x satisfies the given condition.option (c)

To explain further, we need to understand the properties of rational and irrational numbers.

A rational number can be expressed as a fraction of two integers, while an irrational number cannot be expressed as a fraction and has non-repeating, non-terminating decimal representations.

In the given options, (a) √5102.0 (£) and (b) √2 are both irrational numbers.

Their squares, (√5102.0)^2 and (√2)^2, would also be irrational, violating the given condition. On the other hand, (d) 4/5 is rational, and its square, (4/5)^2 = 16/25, is also rational.

Option (c) 3/2 is rational since it can be expressed as a fraction. Its square, (3/2)^2 = 9/4, is rational as well.

Therefore, (c) 3/2 is the only option where x is rational, but its square is irrational, satisfying the condition mentioned in the question.

In summary, the number x that satisfies the given condition, where x^2 is irrational but x is rational, is (c) 3/2.option (c)

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The missing part of the question is highlighted in bold format

The Wall Street Journal reported that the age at first startup for 90% of entrepreneurs was 29 years of age or less and the age at first startup for 10% of entrepreneurs was 30 years of age or more.

Suppose a sample of 200 entrepreneurs will be taken to learn about the most important qualities of entrepreneurs. Show the sampling distribution of p where p is the sample proportion of entrepreneurs whose first startup was at 29 years of age or less. If required, round your answers to four decimal places. np = n(1-p) = E(p) = σ(p) = (b) Suppose a sample of 200 entrepreneurs will be taken to learn about the most important qualities of entrepreneurs. Show the sampling distribution of p where p is now the sample proportion of entrepreneurs whose first startup was at 30 years of age or more. If required, round your answers to four decimal places.

Answer:

(a)

np = 180

n(1-p) = 20

E(p) = p = 0.9

σ(p) = 0.0212

(b)

np =  20

n(1 - p) = 180

E(p) = p = 0.1

σ(p) = 0.0212

Step-by-step explanation:

From the given information:

Let consider p to be the sample proportion of entrepreneurs whose first startup was at 29 years of age or less

So;

Given that :

p = 90%    i.e  p = 0.9

sample size n = 200

Then;

np = 200 × 0.9 = 180

n(1-p) = 200 ( 1 - 0.9)

= 200 (0.1)

= 20

Since np and n(1-p) are > 5 ; let assume that the data follows a normal distribution ;

Then:

The expected value of the sampling distribution of p =  E(p) = p = 0.9

Variance \(\sigma^2=\dfrac{p(1-p)}{n}\)

\(=\dfrac{0.9(1-0.9)}{200}\)

\(=\dfrac{0.9(0.1)}{200}\)

\(\mathbf{=4.5*10^{-4}}\)

The standard error of  σ(p) = \(\sqrt{\sigma ^2}\)

\(\mathbf{= \sqrt{4.5*10^{-4}}}\)

= 0.0212

(b)

Here ;

p is now the sample proportion of entrepreneurs whose first startup was at 30 years of age or more

p = 10%   i.e p = 0.1

sample size n = 200

Then;

np = 200 × 0.1 = 20

n(1 - p) = 200 (1 - 0.1 )  = 180

Since np and n(1-p) are > 5 ; let assume that the data follows a normal distribution ;

Then:

The Expected value of the sampling distribution of p = E(p) = p = 0.1

Variance \(\sigma^2=\dfrac{p(1-p)}{n}\)

\(=\dfrac{0.1(1-0.1)}{200}\)

\(=\dfrac{0.1(0.9)}{200}\)

\(\mathbf{=4.5*10^{-4}}\)

The standard error of  σ(p) = \(\sqrt{\sigma ^2}\)

\(\mathbf{= \sqrt{4.5*10^{-4}}}\)

= 0.0212

To pay off the balance of $7000 on a credit card with an APR of 16.99% in 2 years, the monthly payment to be made is $349.11. So, the correct option is (a) $349.11.

What is APR?

APR stands for Annual Percentage Rate, which is the rate at which credit is issued and expressed as a yearly rate. Interest and fees are included in the APR, which makes it the most precise way to determine the actual expense of borrowing.

What is monthly payment?

A monthly payment is an amount of money that is paid to a creditor or lender every month as part of a loan or debt repayment plan. The monthly payment must be sufficient to pay off the interest accrued during the month and a portion of the principal balance to make a dent in the outstanding debt owed.

What is the formula for calculating monthly payments?

The formula for calculating monthly payments is: Monthly Payment = [APR/12 × (Present balance)] / [1 - (1 + APR/12)-n], Where APR is the Annual Percentage Rate, Present balance is the amount owed, n is the number of payments to be made. To pay off the balance of $7000 on a credit card with an APR of 16.99% in 2 years, the monthly payment to be made is $349.11. Therefore, the correct option is (a) $349.11.

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The way we can find the pencil Dan has in total is 16+5

A word problem is a math problem written out as a short story or scenario. Basically, it describes a realistic problem and asks you to imagine how you would solve it using math.

This word problem are interpreted to mathematical equations.

San has 16 pencils with him before,

Quentin gives him more 5 pencils

then the total pencil Dan will have is obtained by adding all the pencils together,

= 16+5

= 21 pencils

therefore the total number of pencil is found by 16+5 = 21

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Answer:

180=34+4x+90

180=124+4x

4x=56

X=14

Answer:  approximately 3.57 seconds

========================================================

Work Shown:

x = number of seconds

distance = speed*time

250 meters = (70 m/s)*(x seconds)

250 = 70x

70x = 250

x = 250/70

x = 3.57142857142858

x = 3.57

It takes approximately 3.57 seconds for the car to travel 250 meters, when it travels a constant speed of 70 meters per second.

The triangle ∠ADC is a central angle, m∠ADC is 60 degrees, and m∠ABC is 30°.

The central angle is the angle that a circle's arc occupies in its centre. The arms of the central angle are formed by the radius vectors. In other terms, it is an angle whose vertex is the centre of a circle, with the two radii lines acting as its arms and intersecting the circle at two distinct places. These two points make an arc when they are coupled together. The angle that this arc at the circle's centre subtends is called the central angle.

Half of the central angle is the circumferential angle.

∠ABC is equal to 1/2 of ∠ABC.

∠ABC = \(\frac{1}{2}*60\)

∠ABC = 30°

Option b. 30° is the right response, so.

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The possible values for angles 1, 2, and 3 given that lines a and b are parallel lines include the following:

In Mathematics and Geometry, parallel lines are two (2) lines that are always the same (equal) distance apart and never meet or intersect.

Note: Assuming angle 1 is equal to 60 degrees.

In Mathematics and Geometry, the vertical angles theorem states that two (2) opposite vertical angles that are formed whenever two (2) lines intersect each other are always congruent, which simply means being equal to each other:

m∠1 ≅ m∠3 = 60°.

Based on the linear pair postulate, the measure of angle 2 can be determined as follows;

m∠1 + m∠2 = 180°

60° + m∠2 = 180°

m∠2 = 180° - 60°

m∠2 = 120°

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                       - - - - - - - - - - - - - - - - - - - - - - -- - - - - - - - - -

\(\large\blue\textsf{\textbf{\underline{\underline{Question:-}}}}\)

                What kind of number is \(\bold{-\sqrt{2}}\)?

\(\large\blue\textsf{\textbf{\underline{\underline{Answer and How to Solve:-}}}}\)

First, let's look at each of the four sets of numbers:-

So in which set does \(\bold{-\sqrt{2}}\) belong?

First, it's negative, so it's not a natural number.

Then, it's not an imaginary number, so it doesn't belong in the "Not a real number" set.

It can't be written as a fraction, so it doesn't belong in the "Rational" set, but it does belong in the "Irrational numbers" set.

According to the answer and explanation, we conclude that the number \(\bold{-\sqrt{2}}\) belongs in the "Irrational number" set.

          - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -

Answer:

3: 159, 51, 105, 129

6: None

9: None

3 and 9: 477, 531, 351, 153, 855

3 and 6: 336, 120

6 and 9: None

3,6 and 9: 360, 198, 342, 864, 36

Step-by-step explanation:

we need to carry out the division and the determine the numbers.

numbers divisible by 3 only

159

51

105

129

numbers divisible by 6 only

there is no number divisible by 6 only from the list given

Numbers divisible by 9 only

There is no number divisible by 9 only from the list given

Numbers divisible by 3 and 9 only

477

531

351

153

855

Numbers divisible by 3 and 6 only

336

120

Numbers divisible by 6 and 9 only

There is no number divisible by 6 and 9 from the list given

Numbers divisible by 3,6 and 9

360

198

342

864

36

Answer:

Slope= undefined

Y-intercept= -3

Step-by-step explanation:

Following the Y=Mx+b format, there is no slope in the presented equation. By it showing us -3 without an x next to it it tells us that there is no slope and it is just a y-intercept point.

Answer:  The answer is in the step.

Step-by-step explanation:

A)  A.The slope is 0  

The whole equation is y=0x -3 where 0 is the slope so it is defined not undefined.

B)    A. (0.-3)

Answer:c

Step-by-step explanation is va cuz when your multiply:

Answer:

\(\sqrt[6]{2}\left(\cos\left(\frac{3\pi}{4}\right)+i\sin\left(\frac{3\pi}{4}\right)\right)\)

Step-by-step explanation:

The analysis is as attached below.

Answer:

2a+16

Step-by-step explanation:

Your first distribute 2(a+8) and get 2a+16.

Whenever a number is in front of a group of numbers in parenthesis, then it  is always multiplying. You have to multiply both numbers, and that's how I got 2a+16. Hopefully this helps!

\(y = 1.38x + 12.60\)

Step-by-step explanation:

The probability that exactly 2 of the workers interviewed are union members is approximately 0.044.

To solve this problem, we can use the binomial probability formula, which is:

\(P(X = k) = (n choose k) * p^k * (1 - p)^(n - k)\)

where:

n is the sample size (number of workers being interviewed)

k is the number of successes we are interested in (in this case, 2 of the workers being union members)

p is the probability of success (in this case, the probability that a worker is a union member)

(n choose k) is the binomial coefficient, which represents the number of ways to choose k items from a set of n items (this can be calculated using the formula n! / (k! * (n - k)!))

Plugging in the values, we get:

\(P(X = 2) = (4 choose 2) * (0.96)^2 * (1 - 0.96)^(4 - 2)\)

\(= (6) * (0.96)^2 * (0.04)^2\)

= 0.04403136

Therefore, the probability that exactly 2 of the workers interviewed are union members is approximately 0.044.

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a) The temperature decreases at a rate of -4°C per km.

b) The temperature is 0°C at a height of 8km

Here we can see the graph of a relation between the height and the temperature.

We can see that the line goes downwards from left to right, this means that as the height increases, the temperature decreases.

Notice that the horizontal squares represent 1km, while the vertical ones represent 4°C, then, the temperature is decreasing at a rate of -4°C per kilometer, your answer is correct here.

At which height is the temperature zero?

the temperature is zero at the horizontal axis, we can see that the line meets the horizontal axis at a height of 8 km, so that is the answer here.

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kirui's monthly salary is 6000 and kaiuki's monthly salary is 4800.

Let

kirui's salary =x

kariuki's salary=y

Given,

In first month,

Total contribution=980

kirui's contributon=\(\frac{x}{12}\)

kariuki's contribution=\(\frac{y}{10}\)

In second month,

Total contribution=1550

kirui's contribution =\(\frac{x}{8}\)

kariuki's contribution=\(\frac{y}{6}\)

Equation for first month,

\(\frac{x}{12}+\frac{y}{10}=980\\\\5x+6y=980*60\\ \\5x+6y=58800.....i\)

Equation for second month,

\(\frac{x}{8}+\frac{y}{6} =1550\\ \\3x+4y=1550*24\\\\3x+4y=37200....ii\)

Solving eq. \(i and ii\)

\(3(5x+6y=58800)= > 15x+18y=176400\\5(3x+4y=37200)= > 15x+20y=186000\\\\Subtracting the equations,\\\\15x+18y=176400\\15x+20y=186000\\---------\\-2y=-9600\\\\y=4800\)

Substituting y in eq.\(ii\)

\(3x+4(4800)=37200\\\\3x=18000\\\\x=6000\)

Thus, kirui's monthly salary is 6000 and kaiuki's monthly salary is 4800.

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