Carlo and Anita make mailboxes and toys in their wood shop. Each mailbox requires 1 hour of work from Carlo and 4 hours from Anita. Each toy requires 1 hour of work from Carlo and 1 hour from Anita. Carlo cannot work more than 12 hours per week and Anita cannot work more than 24 hours per week. If each mailbox sells for $10 and each toy sells for $5, then what is their maximum possible revenue

Answer:

In the picture below for both parts

Step-by-step explanation:

Edge 2021

The solution is Option C.

The value of the equation is y = 3∛ ( x - 2 ) + 5

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the equation be represented as A

Now , the value of A is

y = ∛ ( 27x - 54 ) + 5   be equation (1)

On simplifying the equation , we get

y = ∛27 ( x - 2 ) + 5

The cube root of 27 is ∛27 = 3

So , the equation will be

y = 3∛ ( x - 2 ) + 5

Therefore , the value of y is 3∛ ( x - 2 ) + 5

Hence , the equation is y = 3∛ ( x - 2 ) + 5

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Answer:

No, because one X value corresponds to two different y- values.

Step-by-step explanation:

Function has only one output for each input.

Hope this helps..

Good luck on your assignment..

Answer:

equation is inconclusive

Step-by-step explanation:

you average the two speeds getting 200 mph. then you need to know the time is took to fully complete the race to get the unit rate which you would multiply to find yiur time.

Step-by-step explanation:

The sample mean is:

(714+751+664+789+818+779+698+836+753+834+693+802) / 12

≈ 760.9

At 0.01 significance level and 11 degrees of freedom, the critical value is t = 3.106.

The standard error is 58.3 / √12 = 16.8.

The confidence interval is:

760.9 ± 3.106 × 16.8

(708.6, 813.2)

678 is outside of the confidence interval, so we can conclude with 99% confidence that the sample does not come from a population with a mean of 678.

To test the claim that the sample FICO scores come from a population with a mean equal to 678, we can use a one-sample t-test.

A t-test is a statistical test used to determine if there is a significant difference between the means of two groups.

It is often used when the sample size is small or when the population standard deviation is unknown.

To test the claim that the sample FICO scores come from a population with a mean equal to 678, we can use a one-sample t-test.

First, we need to calculate the t-value using the following formula:

t = (x - μ) / (s / sqrt(n))

We are given that x = 678, μ = 678, s = 58.3, and n = 12. Substituting these values into the formula, we get:

t = (678 - 678) / (58.3 / sqrt(12))

t = 0

Next, we need to find the critical t-value using a t-distribution table or calculator with 11 degrees of freedom (df = n - 1) and a 0.01 significance level. The critical t-value is 3.106.

Since the calculated t-value of 0 is less than the critical t-value of 3.106, we fail to reject the null hypothesis that the sample FICO scores come from a population with a mean equal to 678.

Thus, in other words, there is not enough evidence to support the claim that the sample FICO scores have a different mean than the population mean of 678.

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Answer:

t = 5.6 day

t =5 days 14 hours 24 minutes

Step-by-step explanation:

Half life is the time it will take for the original value or quantity I'd a particular substance to decrease by half of it's original self.

N = N•e(-kt)

N• = 25

K = 0.1229

Then

N = 25/2 = 12.5

The reason because at the half life , it's original value will decrease to half.

Let's solve for the half life t

N = N•e(-kt)

12.5 = 25e(-0.1229t)

12.5/25 = e(-0.1229t)

0.5 = e(-0.1229t)

In 0.5 =-0.1229t

-0.69314 = -0.1229t

-0.69314/-0.1229 = t

5.6399 = t

To the nearest tenth

5.6 days = t

The answer is Ferris wheel, since it is a circular object and will display symmetry even when rotated.

The length of the MK is 5 units if the length of MK = length of HK - length of HM.

It is defined as the representation of the numbers on a straight line that goes infinitely on both sides.

We have a number line shown in the picture.

From the number line:

Length of MK = Length of HK - length of HM

MK = 26 - 21

MK = 5 units

Thus, the length of the MK is 5 units if the length of MK = length of HK - length of HM.

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Answer:

  b = 64/a³

Step-by-step explanation:

Using the given information, we can only find a relation between a and b. We cannot find any specific value for b.

Since a varies inversely as the cube root of b, we have ...

  a = k/∛b

Multiplying by ∛b lets us find the value of k:

  k = a·∛b = 1·∛64 = 4

Taking the cube of this equation gives ...

  64 = a³b

  b = 64/a³ . . . . . divide by a³

The value of b is ...

  b = 64/a³

Answer:

  (x, y, z) = (45°, 57°, 78°)

Step-by-step explanation:

The problem statement tells you ...

  x + y + z = 180

  -3x +y +z = 0

  0x -y +z = 21

__

Subtracting the second equation from the first gives ...

  4x = 180

  x = 45 . . . . . . divide by 4

Substituting this into the first equation and adding the third equation gives ...

  (45 +y +z) +(-y +z) = (180) +(21)

  2z = 156 . . . . simplify, subtract 45

  z = 78 . . . . . . divide by 2

  y = z -21 = 57

The angle measures are ...

  (x, y, z) = (45°, 57°, 78°)

Answer:

75 %

Step-by-step explanation:

1500 - 375 =1125

So 1125 is spent on the gaming system

Take this over the total amount to get the decimal form

1125/1500 =.75

Change to percent form

75 %

Answer:

75%

Step-by-step explanation:

First we have to find the amount he is using for the gaming system which is

$1500 - $375 = $1125

Now we will express $1125 as a percentage of the total amount and we do that like this;

[tex]\frac{1125}{1500}[/tex] * 100%

= [tex]\frac{1125}{15}[/tex]

=75%

Answer:

95%

Step-by-step explanation:

Answer:

99.7

Step-by-step explanation:

hope this helps !

Answer:

The quotient is 2x+1. The remainder is 2x-2

Step-by-step explanation:

Answer:

Monthly: $4,821

Weekly: $1112.54

Step-by-step explanation:

Monthly

A monthly salary can be found by dividing the yearly salary by the number of months.

salary / months

His salary is $57,852 and there are 12 months in a year.

$57,852/ 12 months

Divide

$4,821 / month

Jeremy makes $4,821 per month.

Weekly

To find the weekly salary, divide the yearly salary by the number of weeks.

salary / weeks

He makes $57,852 each year and there are 52 weeks in one year.

$57,852 / 52 weeks

Divide

$1112.53846 / week

Round to the nearest cent. The 8 in the thousandth place tells use to round the 3 up to a 4 in the hundredth place.

$1112.54 / week

Jeremy makes $1112.54 per week

Answer

(4h/√2)+4h

Explanation:

the side length as a function of h will be needed, so we will compute it first,

Let x be the side length of the right isosceles triangle, then using Pythagorean theorem.

CHECK THE ATTACHMENT FOR DETAILED EXPLANATION

Answer:

24

Step-by-step explanation:

=> (-8)(-3)

So, Here is the rule for it => ( - )( - ) = ( + )

=> +24

Answer:

all real numbers greater than or equal to zero

Step-by-step explanation:

The domain of the real function f(x) = sqrt(x) is

all real numbers greater than or equal to zero

because when x < 0, then f(x) will become complex, which does not belong to a real function.

Answer:

Option C.

Step-by-step explanation:

The given expression is  

[tex]\sqrt{128x^8y^3z^9}[/tex]

It can be written as

[tex]\sqrt{(64\cdot 2)\cdot x^8\cdot y^{2+1}\cdot z^{8+1}}[/tex]

[tex]=\sqrt{8^2\cdot 2\cdot (x^4)^2\cdot y^{2}\cdot y\cdot (z^{4})^2\cdot z}[/tex]

[tex]=\sqrt{(8x^4yz^4)^2\cdot 2yz}[/tex]

[tex]=8x^4yz^4\sqrt{2yz}[/tex]

Therefore, the correct option is C.

Answer:

c

Step-by-step explanation:

Answer:

the driver tried to fix it by lighting up the engine thinking it would start again. it didnt and the entire engine set on fire. the bus doors were closed and everyone was trapped inside. everybody inside burnt to a crisp as the fire spread and local residents heard their screams as their skin melted. the end...

Answer:

The odds in favor of him selling a car today are 3 to 10

Step-by-step explanation:

Probability and odds:

Suppose we have a probability p.

The odds are of: 10p to 10

In this question:

Probability of selling a car is 0.3.

10*0.3 = 3

So the odds in favor of him selling a car today are 3 to 10

Step-by-step explanation:

If they have the same shape, the red graph is a translation of the blue, which is given to be y=x^2.

Since the red graph stays on the y axis at two units above the blue (y=x^2) curve, therefore the red curve is given by y=x^2+2.

The equation of the red graph is f(x) = x² + 2.

Option B is the correct answer.

An equation contains one or more terms with variables connected by an equal sign.

Example:

2x + 4y = 9 is an equation.

2x = 8 is an equation.

We have,

The graphs of f(x) = x² and f(x) = x² + 2 are both quadratic functions, which means they have a parabolic shape.

The graph of f(x) = x^2 is an upward-opening parabola with its vertex at the origin (0,0).

The parabola is symmetric about the y-axis and the x-axis.

The graph of f(x) = x² + 2 is also an upward-opening parabola, but it has been shifted upward by 2 units compared to the graph of f(x) = x².

This means that the vertex of the parabola has been shifted from (0,0) to (0,2).

Thus,

The equation of the red graph is f(x) = x² + 2.

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Answer:

Step-by-step explanation:

The z-score corresponding to a given area of a distribution, is the number of standard deviations that the values in that area have/are from the mean.

In this case, we have a STANDARD normal distribution. In a standard normal distribution, the mean is 0 and the standard deviation is 1.

The Z-score corresponding to a given area, say the 30th percentile is

X = 0 + (-0.524)(1)

Hence, the X (number of values in the given percentile - in this case, 30th) is same as the z-table or z-calculator value for the 30th percentile in ANY normal distribution.

Answer: The answer is  (1, 12).

12 = 3 x 4^{1}

Step-by-step explanation: Hope it helps!

Answer:

Hi! The answer to your question is (1,12)

Step-by-step explanation:

The steps are:

I attached a picture to make sure if that’s the same problem as yours.

So in the picture you can see that there is option A, B, C, D

When we do A and B we will know that it is wrong

When we try C let’s see what we get!

When I did C I got 3.4₁ which equals to 12

Work:

Y=F [1] which equals to 3.4

3.4=12

So the answer will be C. (1,12)

Hope this helps! :)

Answer:

16 square meters is equivalent to 19.14 square yards

Hope this helps you

Answer:

We conclude that the students that took the Kaplan tutoring have a mean score greater than 29.5.

Step-by-step explanation:

We are given that the Kaplan tutoring company obtains a sample of 40 students with a mean MCAT score of 32.2 with a standard deviation of 4.2.

Let [tex]\mu[/tex] = population mean score

So, Null Hypothesis, [tex]H_0[/tex] : [tex]\mu \leq[/tex] 29.5      {means that the students that took the Kaplan tutoring have a mean score less than or equal to 29.5}

Alternate Hypothesis, [tex]H_A[/tex] : [tex]\mu[/tex] > 29.5      {means that the students that took the Kaplan tutoring have a mean score greater than 29.5}

The test statistics that will be used here is One-sample t-test statistics because we don't know about population standard deviation;

                               T.S.  =  [tex]\frac{\bar X-\mu}{\frac{s}{\sqrt{n} } }[/tex]  ~ [tex]t_n_-_1[/tex]

where, [tex]\bar X[/tex] = sample mean MCAT score = 32.2

            s = sample standard deviation = 4.2

            n = sample of students = 40

So, the test statistics =  [tex]\frac{32.2-29.5}{\frac{4.2}{\sqrt{40} } }[/tex]  ~  [tex]t_3_9[/tex]

                                    =  4.066

The value of t-test statistics is 4.066.

Now, at 0.05 level of significance, the t table gives a critical value of 1.685 at 39 degrees of freedom for the right-tailed test.

Since the value of our test statistics is more than the critical value of t as 4.066 > 1.685, so we have sufficient evidence to reject our null hypothesis as it will fall in the rejection region.

Therefore, we conclude that the students that took the Kaplan tutoring have a mean score greater than 29.5.

Step-by-step explanation:

a=-7

d=9

n=15

we have to find a15

a(n)= a+(n-1)d

a(15)= -7+(15-1)9

a(15)= -7+126

a(15)=119

so 15 term of the sequence is 119

The 15th term in the given sequence is 119.

The given sequence is −7,2,11,…

Here, a=-7, d=9

The formula to find the nth term of the sequence is [tex]a_{n} =a+(n-1)d[/tex].

Now, [tex]a_{15} =-7+(15-1) \times9=119[/tex].

Therefore, the 15th term in the sequence is 119.

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Answer:

z-test.

Step-by-step explanation:

We want to perform an hypothesis test for a population mean.

In the case that the standard deviation of the population is known and the population distribution is normal, even if the sample is small, we will use a z-test.

The usual case is to not know the standard deviation of the population, in which case a t-test is adequate instead of a z-test, taking into account the degrees of freedom of the sample.

Answer:

1.5

Step-by-step explanation:

6 to the log base of 6 will be one (they essentially cancel each other out, log is the opposite of exponents) and we are left with 1.5.

Answer:

Width = 8 cm

Length = 48 cm

Step-by-step explanation:

Area of a Rectangle Formula: A = lw

Step 1: Write out expression:

l = 6w

w = w

Step 2: Plug in known variables

384 = 6w(w)

Step 3: Solve for w

385 = 6w²

w² = 64

w = 8

Step 4: Find l

l = 6(8)

l = 48