It cost the class $15 to make cookies for the

bake sale. How many cookies must they sell at

10¢ each to make a profit?

The answer to the given question is 111.

The complete question might be as follows:

I thought of a 3 digit number. Each digit is the square of the digit to the right. What is my number?

= x*100 + y*10 + z.

Requirements:

y = z^2

x = y^2.

Now we shall start to give values to z. Let us start with zero.

Hence, for the question: I thought of a 3 digit number. Each digit is the square of the digit to the right. What is my number? The answer is 111, because the 3 digit number that would fit the requirements mentioned is only 111.

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Answer:

-65d - 55

Step-by-step explanation:

Given expression,

→ -5(13d + 11)

Simplifying the expression,

→ -5(13d + 11)

→ (-5 × 13d) + (-5 × 11)

→ -65d + (-55)

→ -65d - 55

Thus, answer is -65d - 55.

The correct option regarding the slope and the intercept of the linear functions is given as follows:

The slope of f(x) is greater than the slope of g(x). The y-intercept of f(x) is equal to the y-intercept of g(x).

The definition of a linear function is presented as follows:

y = mx + b.

In which the coefficients of the function are given as follows:

The points that compose function f(x) are given as follows:

(0,1) and (4,3).

Hence:

The points that compose function g(x) are given as follows:

(0,1) and (4,-1).

Hence the coefficients are as follows:

Hence the correct option is:

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Answer:

y = 2x - 12

Step-by-step explanation:

(y-4)/(-4-4) = (x-8)/(4-8)

(y-4)/-8 = (x-8)/-4

y-4 = 2x - 16

y = 2x - 16 + 4

y = 2x - 12

[tex](\frac{4}{5}, \frac{44}{5})[/tex] is the maximum value of extreme values for the given polynomial.

What is extreme value?

According to the Extreme Value Theorem, if a function is continuous on the interval [a, b], it must have a maximum and a minimum on that range.

Consider, the given function

f(x) = 5x^2 - 8x + 12         ..(1)

Since, if y = f(x) is a function, then the value of x where f'(x) is zero is called extreme value.

Differentiate equation (1) with respect to x.

10x - 8 = 0

10x = 8

x = 8/10

x = 4/5

Plug x = 4/5 in equation (1),

[tex]f(\frac{4}{5}) = 5(\frac{4}{5})^2 -8(\frac{4}{5})+12\\ = \frac{16}{5} -\frac{32}{5} + 12\\ = \frac{44}{5}[/tex]

Therefore, [tex](\frac{4}{5}, \frac{44}{5})[/tex] is the maximum value of extreme values for the given polynomial.

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Answer:

Answer

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tutorconsortium344

is the maximum value of extreme values for the given polynomial.

What is extreme value?

According to the Extreme Value Theorem, if a function is continuous on the interval [a, b], it must have a maximum and a minimum on that range.

Consider, the given function

f(x) = 5x^2 - 8x + 12         ..(1)

Since, if y = f(x) is a function, then the value of x where f'(x) is zero is called extreme value.

Differentiate equation (1) with respect to x.

10x - 8 = 0

10x = 8

x = 8/10

x = 4/5

Plug x = 4/5 in equation (1),

Therefore,  is the maximum value of extreme values for the given polynomial.

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Be wise think wise. YES PLEASE BRAINILESTor sum

Step-by-step explanation:

The final thickness of the sheet is  = 0.0669 cm

brasses are copper zinc alloys. In general, they have good strength and corrosion resistance, although their structure and properties are a function of zinc content , Alloys containing up to approximately 35% zinc are single phase alloys, consisting of a solid solution of zinc and alpha copper

% cold reduction = (initial thickness - final thickness )  × 100

                                                  initial thickness

        0.30%       =            (0.0955cm - final thickness ) ×  100            

                                                     0.0955cm

             final thickness    =     0.0669cm

Brass in an alloy of copper and zinc, bonze is an alloy containing 80% of cropper. A fuses mass of brass and bronze is found to contain 74% . Brass, alloy of copper and zinc, of historical and enduring importance because of its hardness and workability

Hence the final thickness of sheet is 0.0669 cm

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The exponential growth from the exponential function shows it will take approximately 15.09 years for his salary to reach $45000

An exponential function is defined by the formula f(x) = ax, where the input variable x occurs as an exponent. The exponential curve depends on the exponential function and it depends on the value of the x. This could also be an exponential growth or exponential decay which depends on the situation.

The exponential function is an important mathematical function which is of the form f(x) = ax

Data;

The exponential function to represent this will be

45000 = 31000(1 + 0.025)ˣ

x = 15.09 years

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Answer:

14, or f(-3)= 14

Step-by-step explanation:

Input the -3, so you will get f(-3)= -1/3(-3) + 13.
Do -1/3 x -3, which will get you 1.
Do 1 + 13, which will get you 14.
So, the answer will be 14, or f(-3)= 14.

Answer:

21.17 to 2d.p.

Step-by-step explanation:

Using Pythagoras rearrage to find b c^2-a^2 = b^2

c= hypothenuse

32^2 = 1024 and 24^2 = 576

1024 -576 = 448

[tex]\sqrt{448}[/tex] = 21.1660105

21.17 to 2d.p.

Seventy percent of the time, the length of time to find a parking space takes more than 4 minutes.

For a normally distributed set of data, given the mean and standard deviation, the probability of having the data less than a value can be determined by solving the z-score and using the z-table.

If the probability is 70%, then, using the z-table, the z-score would be -0.52485.

at p = 1 - 0.70 = 0.30   z = -0.52485

Using the formula for finding the z-score, solve for the data value, x.

z-score = (x – μ) / σ

where x = individual data value

μ = mean = 5

σ = standard deviation = 2

z-score = (x – μ) / σ

-0.52485 = (x - 5) / 2

x - 5 = -1.0497

x = 3.9503

Round off to the nearest whole number.

x = 4

Hence, 70% of the time, it takes more than 4 minutes to find a parking space.

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Determine the probability that actual weight is within 0.45 g of the prescribed weight we need to integrate with 2.55 to 3.45

we have to integrate  with : 2.55 to 3.45

p(3-0.45<X<3+0.45)

P( 2.55<X<3.45)

= [2.7-24.47-24.3+48.609/3]

=0.6325

What is probability:

Probability refers to potential. A random event's occurrence is the subject of this area of mathematics. The range of the value is 0 to 1. Mathematics has incorporated probability to forecast the likelihood of various events.

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The question was incomplete. Check below the complete question.

The actual tracking weight of a stereo cartridge that is set to track at 3 g on a particular changer can be regarded as a continuous rv X with the following pdf. f(x) = k 1 ? (x ? 3)2 2 ? x ? 4 0 otherwise.

The sampling distribution of the sample mean will always have the same the mean of the original non-normal distribution, as the original distribution.

What is distribution?

Each of these samples contains a mean, and if we add up all of the means, we can construct a probability distribution that explains the distribution of the means. As long as we have sufficient samples, as will be discussed later, this distribution is always normal and is referred to as the sampling distribution of the sample mean.

Since the sample mean's sampling distribution is normal, we can naturally calculate the distribution's mean and standard deviation and utilise that information to analyse probability questions.

Here, The sample variance is equal to the population variance divided by the sample size if the population is infinite and the sampling is random, or if the population is finite but we are sampling with replacement.

So we need to use the mean of non-normal distribution.

Hence the answer will be the mean of the original non-normal distribution.

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An identification and interpretation of the slope in this scenario is: The slope is −0.1. Starting at 3.9, the GPA will decrease by 0.1 for every text sent in class.

Mathematically, the slope-intercept form of a line can be calculated by using this equation:

y = mx + c          .......equation 1.

Where:

From the information provided, we have the following equation:

y = 3.9 - 0.1x

Rewriting the equation in slope-intercept form, we have:

y = -0.1x + 3.9         .......equation 2.

Comparing equation 1 and equation 2, we have:

Slope, m = -0.1

y-intercept, c = 3.9, which also represents the initial value.

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The area is increased by  204  ft².

What is rectangle?

A rectangle is a type of quadrilateral with parallel sides equal to each other and four equal 90-degree vertices. Because of this, it is also known as an equiangular quadrilateral. Because the opposite sides of a rectangle are equal and parallel, it can also be referred to as a parallelogram.

Initial length l= 4 ft

Initial width l= 17 ft

Area = l*w = 4*17 = 68 ft²

When length and width of the rectangle are doubled:

l=2*4=8 ft

w= 2*17= 34 ft

Area= 8*34= 272 ft²

Difference = 272 - 68 = 204  ft²

Thus, the area is increased by  204  ft².

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Amar owes $2,000 on his credit card with a minimum percentage of 4% or $60, whichever is higher.

The Minimum Payment due is $ 80 as it is higher from the minimum payment of $60.

Given :

Credit Card amount = $2000

Minimum Percentage = 4%

By using the below formula we can find the minimum balance

Minimum Balance = Credit Card Amount * Minimum Percentage

Minimum Balance = $2000 * 4%

            = $80

So According to the question Amar owes $2000 on his credit card with a minimum percentage of 4% or a minimum payment of $60, whichever is higher.

So the minimum percentage of 4% or minimum balance is higher than $60.

So that’s why the minimum payment due is $80.

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The probability that exactly 2 people are left handed if 11% people are left handed and 5 are selected at random is 100.

Probability is a method with the help of which we chose a particular object on random from many given objects.

P(E) = no of favorable outcomes/total number of outcomes

Let there are 100 people

11% are left handed = 11% of 100 = 11

5 are selected randomly.

No of favorable outcomes = 5

Total no of outcomes = 11

Hence, the probability that people selected are left handed is 5/11

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From the given percent of people are left handed and probability of exactly 2 of them are left handed from 5 selected at random is equal to 0.0853.

As given in the question,

Number of people selected at random 'n' = 5

Percent of people are left handed = 11%

Probability of success 'p' = 0.11

Probability of failure 'q' = 1- p

                                       = 1-0.11

                                       = 0.89

Exact number of left handed people 'x' = 2

Probability of people that are exactly left handed

= ⁿCₓ (p)ˣ(q)ⁿ⁻ˣ

=⁵C₂(0.11)²(0.89)⁵⁻²

= (5!/ (5-2)!2!) × (0.0121) × (0.704969)

= 10 × (0.0121) × (0.704969)

= 0.0853

Therefore, from the given percent of people are left handed and probability of exactly 2 of them are left handed from 5 selected at random is equal to 0.0853.

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We are evaluating a project that costs $786,000, has an eight-year life, and has no salvage value. Assume that depreciation is straight-line to zero over the life of the project. Sales are projected at 65,000 units per year. Price per unit is $48, variable cost per unit is $25, and fixed costs are $725,000 per year. The tax rate is 22 percent, and we require a return of 10 percent on this project

The tax rate for 10% is IRR = 78%.

The Initial evaluating cost is $786000 and the

Depreciation expense per year will be  = $786,000 / 8 = $98,250.

and the contribution margin per unit = $48 - $25 = $23

total units sold  Projected per year = 65,000

fixed costs  will be per year = $725,000

At Present the tax rate = 22%

Net cost fixed per year  = -$786,000

Net Cost Fixed year 1-8 = {[($23 x 65,000) - $98,250 - $725,000] x 0.78} + $98,250 = $622,215

Net Per Variable  = $2,533,471.10

Hence the answer is, The tax rate for 10% is IRR = 78%.

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We conclude that the mean commute time in the U.S. is less than half an hour.

We are given that a random sample of 500 people from the 2000 U.S. Census is selected who reported a non-zero commute time.

In this sample the mean commute time is 27.6 minutes with a standard deviation of 19.6 minutes.

Let  = mean commute time in the U.S..

So, Null Hypothesis, :  [tex]H_0:[/tex] μ ≥  30 minutes    {means that the mean commute time in the U.S. is more than or equal to half an hour}

Alternate Hypothesis,  :   [tex]H_A[/tex]: μ  < 30 minutes     {means that the mean commute time in the U.S. is less than half an hour}

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

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

where,  X = sample mean commute time = 27.6 minutes

           s = sample standard deviation = 19.6 minutes

           n = sample of people from the 2000 U.S. Census = 500

So, the test statistics  =   (27.6 - 30)/[tex]\frac{19.6}{\sqrt{500} }[/tex] ~ [tex]t_4_9_9[/tex]

                                      =  -2.738

The value of t test statistic is -2.738.

Also, P-value of test statistics is given by the following formula;

          P-value = P( [tex]t_4_9_9[/tex]   < -1.645)

Since, we know that at large sample size, the t distribution follows like normal distribution, that means;

             P( [tex]t_4_9_9[/tex]  < -1.645)  =  P(Z < -1.645) = 1 - P(Z ≤ 1.645)

                                        =  1 - 0.95002 = 0.04998

Now, at 5% significance level the t table gives critical values of -1.645 at 499 degree of freedom for left-tailed test.

Since our test statistic is less than the critical value of t as -2.378 < -1.645, so we have sufficient evidence to reject our null hypothesis as it will fall in the rejection region due to which we reject our null hypothesis.

Therefore, we conclude that the mean commute time in the U.S. is less than half an hour.

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Answer:

The domain is the time, in minutes from 0 to however long it takes to drain the cooler.

The range is from 12 quarts water to empty.

Step-by-step explanation:

I don't see a graph, but will use the given information to identify a domain and range for the information provided.

The domain is the range of values that are possible for the x axis.  In this case, the x axis it time, in minutes.  If we set x as the time, in minutes, that the water has been draining, time = 0, is the start of the process.  

The y axis, the range, starts at 12 quarts at time = 0.  It then decreases with time until the cooler is empty.  The range of the function is thus 12 quarts to 0 quarts:  Full to empty.

If we knew the actual rate that the cooler drains (e.g., quarts/minute), we could estabish an upper limit to the domain.  If a graph were shown of the data, this rate could be calculated and an upper end to the domain could be set.  If the rate were 2 quarts/minute, the upper end of the domain would be (12 quarts/2 quarts/minute) = 6 minutes.  The domain would be 0 - 6 minutes.

Answer:

0.60 gal to 0.12 gal can be rewritten as:

[tex]\frac{0.60}{0.12} =\frac{0.6}{0.6(0.2)} =\frac{1}{0.2}[/tex]

[tex]\frac{1}{0.2}*1=\frac{1}{0.2}*\frac{10}{10} =\frac{10}{2} =5[/tex]

Answer:

Step-by-step explanation:

Ok:

1. The first one seems to be a quarter which is 25 cents

2. The next two are dimes which are 10 cents each

3. Caculate

25+10+10= 45 cents in total!

4. Answer: 45 cents

The value of x in the algebraic expression is option A  96.

Given,

The algebraic expression; 15 = x/6 - 1

We have to solve the expression and find the value of x.

Here,

15 = x/6 - 1

First solve the right hand side

x/6 - 1 = (x - 6) / 6

Now,

15 =  (x - 6) / 6

Multiply both sides with 6.

15 × 6 = (x - 6) × 6 / 6

90 = x - 6

Now add 6 to both sides

90 + 6 = x - 6 + 6

x = 96

That is,

The value of x in the algebraic expression is option A  96.

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If the height of the triangle is (6x + 10) and the base of the triangle is (3/2) the area of the triangle is 14.25 square units.

What is the area of the triangle?

The area of a triangle is the region bounded by its perimeter or its three sides.

If the height of the triangle is 'h' and the base is 'b', the area of the triangle would be

                   Area = 1/2 × height × base

The base of the triangle is x = 3/2.

Height of the triangle = 6x + 10 = 19.

Area of triangle = 1/2×3/2×19

                          = 14.25 square units.

Hence, If the height of the triangle is (6x + 10) and the base of the triangle is (3/2) the area of the triangle is 14.25 square units.

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Triangles with the provided side lengths of 3.5, 3.5, and 9 cannot be formed.

According to the Properties of triangle, the length of the third side of a triangle must be greater than the sum of any two of a triangle's sides.

Given the side lengths are 3.5, 3.5 and 9;

Sum of two sides = 3.5 + 3.5 = 7 cannot exceed 9

Thus, it is clear that a triangle cannot be formed using the specified side lengths of 3.5, 3.5, and 9.

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The correct formula to represent the free throw percentage for the basketball team is given by FT% = FTM/FTA × 100%

The percentage of any quantity is measured by multiplying the ratio of the successful amount and the total amount by 100.

Here

Total number of free throws attempted = FTA (this is the total amount)

Total number of free throws made = FTM (this is the successful amount)

Required percentage = (FTM / FTA ) × 100%

Hence the required correct option is the second one:

FT% = FTM/FTA × 100%

The English word "percentage" derives from the Latin phrase "per centum," which means "by the hundred." Percentages are fractions with a denominator of 100. It is a relationship, in other words, where the value of the whole is always taken to be 100.

Calculating a percentage in terms of 100 is known as calculating a percentage. You can determine a percentage in one of two ways:

We employ a unitary method by changing the denominator of the fraction to 100.

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Answer:

3

Step-by-step explanation:

The linear equation y = x - 5 show's Evie's net loss or gain

Linear equations are equations of the first order. The linear equations are defined for lines in the coordinate system. When the equation has a homogeneous variable of degree 1 (i.e. only one variable), then it is known as a linear equation in one variable. A linear equation can have more than one variable. If the linear equation has two variables, then it is called linear equations in two variables and so on.

In solving this problem, we have to write the problem in a form of linear equation.

Let;

y = x + 4 - 9

y = x - 5

The equation to show Evie's net gain or loss is y = x - 5

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Answer:

Below

Step-by-step explanation:

Graph the two lines....where they intersect is the solution:

(-4,3)

OR sub in x = -4 into the first equation to find y = 3

Answer:

0.0401907 = 0.040 (to 3dp)