24c + 60 = 36c

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The relationship between x and y is and the constant of variation is 24.

What is inversely proportional?

One kind of proportionality relationship is inverse proportion. If two quantities are inversely related, one will increase while the other will decrease. Building a wall would be an example of an inverse proportion in action.

Given that x and y are inversely proportion.

Assume that the relationship between x and y is

y = k/x where k is constant of variation.

Putting x = 3 and y = 8 in y = k/x :

8 = k/3

Multiply both sides by 3:

k = 8 × 3

k = 24

Putting x = 4 and y = 6 in y = k/x :

6 = k/4

Multiply both sides by 4:

k = 6 × 4

k = 24

The relationship is y = 24/x and the constant of variation is 24.

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Answer:

x and y are not inversely proportional.

Image:

Answer:

$217.81/hr

Step-by-step explanation:

The 5 sculptures contain 530 lbs of ice, which Nr. Freeze sells at $30/lb:

His total income is:  (530 lbs)*($30/lb) = $1590

The sculptures required 73 hours to create.  Mr Freeze's hourly wage is therefore ($1590/73 hr) = $217.81/hr (!)

The value of the function f(x) which is differentiable at all x, at x = 2

Or f(2) = b. 4.

A function can be defined as the outputs for a given set of inputs.

The inputs of a function are known as the independent variable and the outputs of a function are known as the dependent variable.

Given, The function 'f' is differentiable for all x.

Now, f(1) = 2 and f(4) = 8, So, f(x) can be 2x as it is satisfying the conditions.

∴ At x = 2 or f(2) = 2(2) = 4.

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1. ZX ≅WY; WXYZ is a parallelogram.           1. Given

2. ZY≅  WX                                                     2. The opposite sides of the                

                                                                      parallelogram are ≅  

There are 4 different kinds of parallelograms, including 3 unique kinds. The four types are rhombuses, squares, parallelograms, and rectangles.

There are not equal sides on a parallelogram. A parallelogram only has equal sides on its opposite sides.

A line segment bisector splits a line segment into two equally sized pieces. It passes through the segment's halfway.

The following justifications are given for the choice made above:

The following is how the two-column proof is presented.

Statement Motive

1. ZX ≅WY; WXYZ is a parallelogram.           1. Given

2. ZY≅  WX                                                     2. The opposite sides of the parallelogram are ≅

3. YX ≅ YX                                                   3. The reflexive quality

4. Δ ZYX ≅ΔWXY                                      4. The SSS thm.

5 . ∠ZYX ≅ ∠WXY                                       5 . CPCTC

6  . m∠ZYX ≅m∠WXY                                 6. Def. of ≅

7.    m∠ZYX + mWXY equal 180°        7. Parallelograms with consecutive s are additional

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The concept of density explains  how tightly packed together  the matter in an object is

The density of a material is a measure of how tightly packed matter is together.

The concept of density compares the quantity of matter the material has to its volume. A material with much matter in a certain volume has a high density.

An object with high density is considered highly dense or heavy and an object with low density is considered less dense. For example, the air is about 830 times less dense than water.

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6/8 is an equivalent fraction to 3/4; 2/6 is equivalent to 1/3; 6/9 is equivalent to 2/3; 10/25 is equivalent to 2/5; 4/16 is equivalent to 1/4; the fraction of 1/3 is equivalent to 2/6; 8/16 is an equivalent fraction to 2/4.

A fraction can be referred to or considered as a divisional representation of a whole number or a percentage, usually represented as a bigger numerical. A fraction denotes the representation of a number in such a way that the meaning or the accuracy of the number is not disturbed, but is shown differently. The fractions equivalent to each other have been mentioned above.

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Answer:

Write in Standard Form

1. The standard form of a linear equation is

Ax + By = Cx-y=-1

2. x = 16

Ig?

I'm not sure.

The treatments (new menu item) were not randomly assigned to the students when 36 local middle school kids were chosen at random to take part.

Given that,

36 local middle school kids were chosen at random to take part in a taste test to choose a new menu item for a cafeteria. The Cajun potato barrels or the macaroni and cheese were the options offered to each pupil. 20 pupils chose the macaroni and cheese from the sampling, while 16 selected the Cajun potato barrels. On a scale from 1 (very dislike) to 9 (very much like), each student was asked to rank the object they selected (extremely like).

We have to find which of the following keeps this study from being an experiment with a sound design.

Each student was given the option of choosing either the macaroni and cheese or the Cajun potato barrels. Because the students' treatments were not distributed at random, those who preferred their cuisine chose it and gave it high marks. As a result, the study has selection bias.

Therefore, The treatments (new menu item) were not randomly assigned to the students when 36 local middle school kids were chosen at random to take part.

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The angles COA and POC are 22.5 and 67.5 degrees respectively as POA is a right angled triangle.

POA is a right angle so it is 90 degrees.

POC +COA = 90  .....(1)

Also, POC is 3 times as large as COA.

Let's take COA, "x"

POC = 3x

Substituting the values in equation (1) as follows:

x + 3x = 90

4x = 90

x= 22.5

Therefore,

COA = 22.5°

POC = 22.5*3 = 67.5°

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The appropriate conclusion at the 5% significance level is b. Reject H0; we cannot conclude that the mean amount of fertilizer per batch for distributor A is greater than the amount of fertilizer per batch for distributor B.

[tex]\bar{x_1}[/tex] = pounds per batch distributor A = 23

[tex]\bar{x_2}[/tex] = pounds per batch distributor B = 18

[tex]\sigma_{1}[/tex] = standard deviation distributor A = 4

[tex]\sigma_{2}[/tex] = standard deviation distributor B = 5

n = sample size = 4

α = significance level = 5% = 0.05

Test statistic is using z test to find the z value from two population, after that we can search p-value and then comparing the p-value with significance level.

If p-value is lower than significance level, the null hypothesis (H0) is accepted. But, if p-value is higher than significance level, the H0 is rejected.

Calculate test statistic by this formula,

Z = [tex]\frac{\bar{x_1}-\bar{x_2}}{\sqrt{\frac{\sigma^2_1 + \sigma^2_2}{n}}}[/tex]

= [tex]\frac{23-18}{\sqrt{\frac{4^2 + 5^2}{4}}}[/tex]

= [tex]\frac{5}{\sqrt{\frac{16 + 25}{4}}}[/tex]

= 1.56

Using z table for 1.56, we get 0.9406. Since is right tailed test. So, p value is

p-value = 1 - 0.9406

= 0.0594

Then, p-value is 0.0594 is higher than significance level 0.05. So, H0 is rejected.

Thus, the conclusion is reject H0, we cannot conclude the mean amount of fertilizer per batch distributor A is greater than distributor B.

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Answer:

5(20-n)

Step-by-step explanation:

we have to find a common factor of 100 and 5

a common factor of both is 5 so we divide both terms by 5

100/5= 20

-5n/5= -n

and now we place them together

20-n

and place 5 outside of it like this

5(20-n)

hopes this helps please mark brainliest

To get 36 as a result, you can add different numbers, some examples that can work are 18+18, 24+12, 12+12+12, and 8+12+16.

This is a basic mathematical operation that involves calculating the total of two, three, or more numbers. This implies in addition you combine or add numbers and in most cases you get a bigger number. Here are some examples:

5 + 6 = 11

254 + 25 = 279

0.2 + 1.2 = 1.4

Use substraction to find possible numbers. Here is an example:

36 -18 = 18  which means 18 + 18 = 36

36 - 20 = 16 which means 20+16 = 36

Add small numbers until you get to the total. Here is an example:

2 + 4 + 8 + 6 + 3 + 7 + 5+ 1 = 36

Based on this, some numbers that you can use to get 36 are

18+18

24+12

12+12+12

8+12+16

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The angle measures in this problem are given as follows:

7 - m < ADC = 82º.

8 - m < ADC = 44º.

In item 7, the angle measure is found obtained the angle addition postulate, meaning that the measures are obtained as follows:

m<ADB = m < BDC + m < ADC.

Then the equation to find the value of x is obtained as follows:

144 = 7x + 34 + 9x + 46

16x = 64

x = 64/16

x = 4.

Then the angle ADC is obtained as follows:

m < ADC = 9(4) + 46 = 82º.

In item 8, the bisection means that the two angle measures are equal, hence the value of x is obtained as follows:

7x - 19 = 9x - 37

2x = 18

x = 18/2

x = 9.

m < ADC = 9(9) - 37 = 44º.

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If the domain of f(x) = x² - 4 is limited to {-1, 0, 1, 2} the greatest value of the range is 0

The range represents the output values

Using the given expression to solve it can be found that the output values are

for x = -1, f(x) = x² - 4 = -1² - 4 = -3

for x = 0,  f(x) = x² - 4 = 0² - 4 = -4

for x = 1, f(x) = x² - 4 = 1² - 4 = -3

for x = 2, f(x) = x² - 4 = 2² - 4 = 0

The greatest value of the range is 0

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The Total Probability of selecting two coins worth 35 cents at least is 17/36

What is Probability?

Probability is an area of mathematics that deals with numerical representations of how probable an event is to occur or how likely a statement is to be true. The probability of an occurrence is a number between 0 and 1, where 0 denotes the event's impossibility and 1 represents certainty.

There are two ways of having a sum at least 35 cents

(i) One 10 cent coin and One 25 cent coin

= 6/9 * 3/8 = 1/4

(ii) Both coins of 25 cents

= 2/9

Total Probability = 1/4 + 2/9

Total Probability = 9 + 8 / 36

Total Probability = 17 / 36

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Answer:

30 bowls

Step-by-step explanation:

 9 lb   /   (3/10 lb/bowl)   =   9 * 10/3  bowls = 30 bowls

To conduct a hypothesis test for the difference between two population proportions under independent sampling is,

n1p1 ≥ 5, n1(1−p1) ≥ 5, and n2p2 ≥ 5,n2(1−p2) ≥ 5.

What is population proportion?

In statistics, a population proportion is a parameter that describes a percentage value connected to a population. It is typically denoted by P or the Greek letter π.

As per central limit theorem sample size needs to be greater than 30.

So required conditions are Only if n1 ≥ 30 and n2 ≥ 30.

Also for normal approximation we need the condition

[tex]np \geq 5 and[/tex]  n(1 - p) ≥ 5

So one more condition is Only if

n1p1 ≥ 5, n1(1−p1) ≥ 5, and n2p2 ≥ 5,n2(1−p2) ≥ 5

Hence,  to conduct a hypothesis test for the difference between two population proportions under independent sampling is

n1p1 ≥ 5, n1(1−p1) ≥ 5, and n2p2 ≥ 5,n2(1−p2) ≥ 5

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Considering the depreciation rate of 11%, the value of car is $11800 in 4.1 years.

Depreciation is the reduction in the value of an asset over time due to wear and tear, age, or obsolescence.

The most basic and widely used method of calculating depreciation is Annual depreciation = (Cost of asset - Salvage value) / Useful life

To find the time it will take for the value of the car to depreciate to $11,800, we can set up the following equation:

24900 - 11800 = 11000

24900 * .11 = 2679

11000 / 2679 = 4.09 years

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The required amount for phone and computer sales is $1100 and $600 respectively.

Given that,
Houa works at an electronics store as a salesperson. Houa earns a 9% commission on the total dollar amount of all phone sales she makes and earns a 6% commission on all computer sales. Houa made a total of $1700 in sales and earned $135 in commission.

What are simultaneous linear equations?

Simultaneous linear equations are two- or three-variable linear equations that can be solved together to arrive at a common solution.

here,
Let the number of phone sales be x and the number of computer sales be y,
According to the question,
0.09x+0.06y=135, - - - - - (1}
x+y=1700 - - - - - - - (2)
Solving equation 1 and 2
Gives, x = $1100 and $600

Thus, the required amount for phone and computer sales is $1100 and $600 respectively.

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The first three non zero terms in the Taylor polynomial approximation to the given DE is y(t) = t + t²/2 -(3/2)t³ .

In the question ,

it is given that ,

the differential equation is

y'' + 9y + 5y³ = Cos(10t)   ...equation(1)

y(0) = 0, y'(0) = 1

for y = 0 , the differential equation is

y''(0) + 9y(0) + 5{y(0)}³ = Cos90)

y''(0) + 9 + 5 = 1 ;

y''(0) = 1.

differentiating equation(1) with respect to "t" , we have

y''' + 9y' + 15y²y' = -10Sin(10t)

y'''(0) + 9y'(0) + 15{y(0)}².y'(0) = -10Sin(0)

y'''(0) + 9 + 0 = 0

y'''(0) = -9

The Taylor series is given by

y(t) = y(0) + y'(0)t + 1/2.y''(0)t² + 1/3!.y'''(0)t³ + ....

Now substituting the values of y(0) , y'(0) , y''(0) , y'''(0) , we have

y(t) = 0 + 1.t + 1/2.t² + 1/6.(-9)t³ + ....

= t + t²/2 - 3/2.t³ + ...

Therefore , the first three terms are t , t²/2 , -3/2.t³   .

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The point estimate for sales when advertising is $3000 is $5412.

Based on the given information, the estimated regression equation is Ŷ = 12 + 1.8x, where Ŷ is the estimated value of the dependent variable (sales), x is the value of the independent variable (advertising), and the constants 12 and 1.8 are the coefficients of the regression equation.

If advertising is $3000, then the point estimate for sales (in dollars) is the value of Ŷ when x = 3000. Substituting this value into the estimated regression equation, we get:

Ŷ = 12 + 1.8 * 3000 = 12 + 5400 = 5412

So, the required amount is $5412.

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Answer:

  f(x) = x³ -9x² +28x -30

Step-by-step explanation:

You want a monic polynomial f of least degree with zeros 3 and 3-i.

For zero x=a, the polynomial has a factor (x -a). Complex zeros come in conjugate pairs, so another one is 3+i. This means the factored form is ...

  f(x) = (x -3)(x -3 +i)(x -3 -i)

  f(x) = (x -3)(x² -6x +9 +1) . . . . . combine the two right factors

  f(x) = x³ -9x² +28x -30

__

Additional comment

When multiplying polynomials mentally, it can be useful to consider the coefficients of the product terms in order of decreasing powers:

  f(x) = (1)x³ +(-3 -6)x² +(10 +(-3)(-6))x +(-3)(10)

Liam can conclude that the price and monthly rate of both the gyms are equal.

Given, Lian is deciding which of two gyms to join. Each gym charges a monthly rate plus a one-time membership fee.

Lian correctly wrote and solved a system of linear equations by substitution to compare the costs of the memberships. In her work, she substituted an expression for one variable and solved for the other. This resulted in the equation 75 = 75.

we have to mention that what Lian can conclude,

As, substituting the first equation in the second one Liam got the price which is same in both the gyms.

So, Liam can conclude that the price and monthly rate of both the gyms are equal.

Hence, Liam can conclude that the price and monthly rate of both the gyms are equal.

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A GENERAL NOTE: CHARACTERISTICS OF THE GRAPH OF THE PARENT FUNCTION  [tex]f(x) = b^{x}[/tex]

-It’s a one-to-one function

-The graph passes through y-intercept of the point (0,1)

-x-intercept: none

-The domain is all real numbers: (−∞,∞)

-The range is y > 0 or (0,∞)

-The graph is increasing

-The graph is asymptotic to the x-axis as x approaches negative infinity

-Horizontal asymptote: y=0

-The graph increases without bound as x approaches positive infinity

-Increasing if b > 1

-Decreasing if b < 1

-The graph is continuous

-The graph is smooth

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Answer:

See explanation.

Step-by-step explanation:

Given quadratic:

[tex]x^2+140x-1500[/tex]

To factor a quadratic in the form [tex]ax^2+bx+c[/tex], first find two numbers that multiply to [tex]ac[/tex] and sum to [tex]b[/tex].

As  a = 1, b = 140 and c = -1500, then:

[tex]\implies a \cdot c=1 \cdot -1500=-1500[/tex]

[tex]\implies b=140[/tex]

Therefore, the two numbers are 150 and -10 as:

[tex]\implies 150 \cdot -10 = -1500[/tex]

[tex]\implies 150+(-10)=140[/tex]

Rewrite [tex]b[/tex] as the sum of these two numbers:

[tex]\implies x^2+(150-10)x-1500[/tex]

Distribute:

[tex]\implies x^2+150x-10x-1500[/tex]

Factor the first two terms and the last two terms separately:

[tex]\implies x(x+150)-10(x+150)[/tex]

Factor out the common term  (x + 150):

[tex]\implies (x+150)(x-10)[/tex]

1

Step-by-step explanation:

She has 3 carrots and 4 cucumbers that's a week done and 6 apples so she needs 1 more

Answer: m= 6

Step-by-step explanation:

Answer:

6

Step-by-step explanation:

because slope is the amount of times your changing the line

The complement of set A is-

A' = {2, 4, 5, 6, 7, 8, 9, 10}

We have -

A' = U - A

A' = {1,2,3,4,5,6,7,8,9,10} - {1,3,5,7}

A' = {2, 4, 5, 6, 7, 8, 9, 10}

Therefor, the complement of set A is -

A' = {2, 4, 5, 6, 7, 8, 9, 10}

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