The inside of a rectangular swimming pool is going to be painted. The pool is 8 feet wide, 25 feet long, and 5 feet deep.

What is the surface area of the five faces to be painted?

Answer:

$6.50 per bag of popcorn

Step-by-step explanation:

let a bag of popcorn be represented by p and a candy bar be b

28p + 40b= $282

17p + 20b= $160.50

this is an example of stimatanelous equations

so you have to double the second equation to give 34p + 40b =$321

subtract the equations to give one

6p =$39

divide $39 by 6 to give the value of one bag of popcorn = $6.50

Answer: 81,000

Step-by-step explanation:

We can solve this by using the formula given.

If f(1)=1000x3^1, then 1,000x3=3,000

If f(2)=1000x3^2, then 3^2=9 and 1000x9=9000,

and so on,

Now, f(4) will equal 1000x3^4, and 3^4 is 3x3x3x3, which is 9x9 or 9^2, which would be equal to 81, and 81x1000=81,000

To complete the table of values for the exponential function f(x) = 1000*3^x, we can evaluate the function for x = 0, 1, 2, 3, and 4, since we are interested in the number of bacteria on the phone after 4 hours.

x f(x)

0 1000

1 3000

2 9000

3 27,000

4 81,000

Therefore, after 4 hours, there will be 81,000 bacteria on the surface of the phone, assuming the number of bacteria triples every hour and can be described by the exponential function f(x) = 1000*3^x.

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Answer:

4 records sold on Wednesday, 32 records sold on Thursday!

Step-by-step explanation:

To do 9b, you need to set up our own equation!

Let's use W to represent records sold on Wednesday and T to represent records sold on Thursday.

It said 36 total records were sold on Wednesday and Thursday. This can be represented with the following equation ...

W + T = 36

It also tell us that on Thursday (T),  8 times the number of records sold on Wednesday were sold on Thursday. In equation form, this looks like ...

T = 8 × W

Now, let's use all this info to solve!

Let's first solve the equation W + T = 36

But, we need values! We have one! We know what T equals!

Let's plug in T

T = 8 × W

W + ( 8 × W ) = 36

Solve

W + 8W = 36

9W = 36

W = 4

4 records were sold on Wednesday!

Let's plug in W in our T equation to see how many records were sold on Thursday.

T = 8 × W

T = 8 × 4

T = 32

32 records were sold on Thursday!  

Wednesday can be represented with HALF A CIRCLE

and Thursday can we represented with FOUR CIRCLES

Answer:

48m^2 + 56m

Step-by-step explanation:

-8m(-6m - 7)

Use the distributive property. (-8m*-6m & -8m*-7)

-8m*-6m = 48m^2

-8m*-7 = 56m

48m^2 + 56m

Answer:

store A is cheaper

Step-by-step explanation:

All right. If you divide Store A's numbers like so,

3.45 / 12, you'd get about 0.28, which is the average cost per one donut at store A.

For store B, if you divided,

2.40/8, you'd get 0.30, which is the average cost per one donut at store B, which means that store A is cheaper!

Answer:

1/6x or just 1/6

Step-by-step explanation:

the equation is y = mx + b and 1/6x is in place m which is the slope

stream blueberry eyes by MAX AND SUGA periodTt

The slope is also known as the gradient and the rate of change of the line. The slope of the line for the equation y= 1/6x + 1/4 is 1/6

The slope is also known as the gradient and the rate of change of the line, The equation of aline in slope intercept form is expressed as:

y = mx + b

where

m is the slope

b is the y-intercept

Given the equation y = 1/6x + 1/4

Compare

mx = 1/6x

m = 1/6

Hence the slope of the line for the equation y= 1/6x + 1/4 is 1/6

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The time taken for the cargo to hit the ground will be 0.6 seconds and it travels in the horizontal direction for around 14.69 feet.

The definition of an equation in algebra is a mathematical statement that demonstrates the equality of two mathematical expressions. For instance, the equation 3x + 5 = 14 consists of the two equations 3x + 5 and 14, which are separated by the 'equal' sign. The point-slope form, standard form, and slope-intercept form are the three main types of linear equations. The definition of an equation in algebra is a mathematical statement that demonstrates the equality of two mathematical expressions. For instance, the equation 3x + 5 = 14 consists of the two equations 3x + 5 and 14, which are separated by the 'equal' sign.

Here,

The calculations are attached in images.

To calculate t we will use that is y because at the moment of cargo will have a height 0, so we get,

= −4.9t² +1.75

-1.75=-4.9t²

t²=-1.75/-4.9

t²=√0.3571

=0.6 seconds

Now we will calculate x, then y = 0

because since the cargo will be on the ground it will no have height, so

0= -0.0081x²+1.75

-1.75 =-0.0081x²

x²=-1.75/-0.0081

x= √216.04 = 14.69 feet

It will take the cargo 0.6 seconds to hit the ground, and it will travel 14.69 feet in a horizontal direction.

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Step-by-step explanation:

2524 ÷ 23 = 24a6u= 7

bengek hyung

The given limit indicates that there is a vertical asymptote at x = 2.

The vertical asymptotes are the values of x which are outside the domain, which in a fraction are the zeroes of the denominator. When x tends to these values laterally, the limit of f(x) goes to infinity.

In this problem, the function is:

\(f(x) = \frac{x^2 - 4x - 12}{x - 2}\)

The vertical asymptote is:

x - 2 = 0 -> x = 2.

Hence:

\(\lim_{x \rightarrow 2^+} f(x)\) and \(\lim_{x \rightarrow 2^-} f(x)\) are either positive infinity or negative infinity.

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Given:

A graph that contains image and preimage.

To find:

Which figure is the preimage and which figure is the image.

Solution:

Initial figure is known as preimage and translated figure is known as image.

It is given that a triangle was translated 4 units down. It means, the upper triangle is preimage and the lower triangle is the image.

So, ΔFGH is the pre-image and ΔABC is the image.

Therefore, the correct option is B.

the answer is B :0

i got it right on my assignment !!!!

Answer:

56

Step-by-step explanation:

Answer:1 tile 2 box 2 tile 1 box 3 tile 5 box 4 tile 6 box 6 tile 4 box

Step-by-step explanation: math

The ascending order of increasing functions are,

y = (3/4)x - 10 < y = (1/2)x - 2 < y = (4/3)x - 7/3 < y = (3/2)x - 11/2

< y = (5/2)x + 10.

The equation of a line in slope-intercept form is y = mx + b.

Where slope = m and b = y-intercept.

The y-intercept, or (0,b), is the point where the line crosses the y-axis at x = 0. The slope represents the rate of change of the y-axis relative to the x-axis.

When the equation of the form y = mx + b, the slopes of the function can be used to sort them in ascending order.

The equations in ascending order are,

y = (3/4)x - 10 < y = (1/2)x - 2 < y = (4/3)x - 7/3 < y = (3/2)x - 11/2

< y = (5/2)x + 10.

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A variable used to model the effect of categorical independent variables in a regression model which generally takes only the value zero or one is called dummy variable.

In this question,

A dummy variable is a numeric variable that represents categorical data, such as gender, race, political affiliation, etc. Each dummy variable represents one category of the explanatory variable and is coded with 1 if the case falls in that category and with 0 if not.

In dummy variables, we don't need to write out separate equation models for each subgroup because they enable us to use a single regression equation to represent multiple groups. It is an artificial variable created to represent an attribute with two or more distinct categories/levels.

A dummy variable can take values either 1 or 0. It can express either a binary variable or a categorical variables. The number of dummy variables we must create is equal to k - 1, where k is the number of different values that the categorical variable can take on.

Hence we can conclude that a variable used to model the effect of categorical independent variables in a regression model which generally takes only the value zero or one is called dummy variable.

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The two equivalent forms of \(sec^2x\) are \(\frac{1}{cos^2x}\) and \(1+tan^2x\)

The given trigonometric expression is:

\(sec^2x\)

Note that:

\(sec(x)=\frac{1}{cos(x)}\)

Substitute this equivalence to the given expression

\(sec^2(x)=\frac{1}{cos^2(x)}\)

Also from \(cos^2(x)+sin^2(x)=1\)

Divide through by \(cos^2x\)

\(\frac{cos^2x}{cos^2x} +\frac{sin^2x}{cos^2x}=\frac{1}{sin^2x}\)

Simplifying the resulting expression:

\(1+tan^2x=sec^2x\\\\sec^2x=1+tan^2x\)

Therefore, the two equivalent forms of \(sec^2x\) are \(\frac{1}{cos^2x}\) and \(1+tan^2x\)

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The total number of outcomes will be 6. Then the sample space will be {(3,R), (3,S), (3,T), (5,R), (5,S), (5,T)}

Sets are the collection of well-defined elements. A set is represented by a capital letter symbol and the number of elements in the finite set is shown as a curly bracket {..}.

One spinner has three equally sized sectors labeled R, S, and T.

A second spinner has two equally sized sectors labeled 3 and 5.

Then the total number of the event will be

Total event = 3 × 2

Total event = 6

Then the sample space will be

\(\rm Sample = \left\{\begin{matrix}3,R & 3,S & 3,T \\\\5,R & 5,S & 5,T \\\end{matrix}\right.\)

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Answer:This is an exponential growth problem.  If the population doubles periodically, it follows a law like this:

P(t) = P(0)ekt

where P(0) is the initial population at time t=0, and k is a constant with units of years-1.

To find k, let t=0.  Then P(t) = P(0) = initial population = 5000.

Since the population doubles every 12 years, we can write

P(t+12) = 2P(t)

P(0)ek(t+12) = 2[P(0)ekt]

Simplifying,

e12k = 2

k = ln(2) / 12 = 0.0577623 years-1

Finally,

P(t) = 5000e0.0577623t, t in years

Then at t=48 years from now,

P(48) = 5000e(0.0577623 * 48) = 80,000

Step-by-step explanation:

to get the equation of any straight line we only need two points off of it, hmmm let's use P and Q here and then let's set the equation in standard form, that is

standard form for a linear equation means

• all coefficients must be integers, no fractions

• only the constant on the right-hand-side

• all variables on the left-hand-side, sorted

• "x" must not have a negative coefficient

\((\stackrel{x_1}{6}~,~\stackrel{y_1}{0})\qquad (\stackrel{x_2}{3}~,~\stackrel{y_2}{2}) ~\hfill \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{2}-\stackrel{y1}{0}}}{\underset{run} {\underset{x_2}{3}-\underset{x_1}{6}}}\implies \cfrac{2}{-3}\implies -\cfrac{2}{3} \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{0}=\stackrel{m}{-\cfrac{2}{3}}(x-\stackrel{x_1}{6})\)

\(\stackrel{\textit{multiplying both sides by }\stackrel{LCD}{3}}{3(y-0)~~ = ~~3\left( -\cfrac{2}{3}(x-6) \right)}\implies 3y=-2(x-6) \\\\\\ 3y=-2x+12 \implies \stackrel{a}{2} x+\stackrel{b}{3} y=12\)

The probability is approximately 0.543. To calculate the probability that a student is both a junior and a chemistry major,

we can use the concept of intersection and the formula for the probability of independent events.

Given:

Total number of students in the class = 46

Number of juniors = 25

Number of chemistry majors = 28

Number of students who are neither junior nor chemistry major = 5

The probability that a student is both a junior and a chemistry major can be calculated as follows:

P(Junior and Chemistry major) = P(Junior) * P(Chemistry major)

Since the events "being a junior" and "being a chemistry major" are not independent (as the number of juniors who are chemistry majors may vary), we need to adjust the probability calculation.

We can find the number of students who are both juniors and chemistry majors by finding the minimum number between the number of juniors and the number of chemistry majors:

Number of students who are both juniors and chemistry majors = min(25, 28) = 25

Now, we divide this number by the total number of students to get the probability:

P(Junior and Chemistry major) = 25 / 46 ≈ 0.543

Therefore, the probability that a randomly selected student is both a junior and a chemistry major is approximately 0.543.

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Answer:

200020ft

Step-by-step explanation:

Given that heart rate before an exam for STA 100 students is normally distributed with mean 100 bpm and standard deviation 20.2 bpm, the probability that a randomly selected student's heart rate is under 125 bpm given that it is over 100 bpm is approximately 0.6306.

We are given that the heart rate before an exam for STA 100 students follows a normal distribution with mean 100 bpm and standard deviation 20.2 bpm.

We want to find the conditional probability that the heart rate is under 125 bpm given that it is over 100 bpm.

Let A be the event that the heart rate is over 100 bpm, and let B be the event that the heart rate is under 125 bpm. Then we want to find P(B | A).

We can use Bayes' theorem to find P(B | A):

P(B | A) = P(A | B) * P(B) / P(A)

We know that P(A) = 1 - P(B), since the two events are complements. We also know that P(B) can be found using the standard normal distribution as follows:

P(B) = P(Z < (125 - 100) / 20.2) = P(Z < 1.2376) = 0.8917,

where Z is a standard normal random variable. To find P(A | B), we need to compute the conditional probability that the heart rate is over 100 bpm given that it is under 125 bpm:

P(A | B) = P(B | A) * P(A) / P(B) = P(B | A) * (1 - P(B)) / P(B).

Since the heart rate follows a normal distribution, we can standardize it by subtracting the mean and dividing by the standard deviation:

P(A | B) = P(Z > (100 - 100) / 20.2 | Z < (125 - 100) / 20.2)

= P(Z > 0 | Z < 1.2376)

= P(Z < 1.2376)

= 0.8917.

Finally, we can plug in the values we have found to obtain the probability we are looking for:

P(B | A) = P(A | B) * P(B) / P(A)

= 0.8917 * 0.8917 / (1 - 0.8917)

= 0.6306 (approximately).

Therefore, the probability that a randomly selected student's heart rate is under 125 bpm given that it is over 100 bpm is approximately 0.6306 or 63.06%.

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Complete Question

6. Assume that heart rate (in beats per minute, or bpm) before an exam for STA 100 students is distributed nor- mal, with a mean of 100 bpm and a standard deviation of 20.2 bpm. Assume all students in the following problem are selected from this population.

If we know a randomly selected students heart rate is over 100 (it is given), what is the probability that it is under 125?

\(\qquad \textit{Amount for Exponential Decay} \\\\ A=P(1 - r)^t\qquad \begin{cases} A=\textit{current amount}\dotfill &\$2300\\ P=\textit{initial amount}\dotfill &\$15100\\ r=rate\to 12.25\%\to \frac{12.25}{100}\dotfill &0.1225\\ t=years \end{cases} \\\\\\ 2300=15100(1 - 0.1225)^{t}\implies \cfrac{2300}{15100}=(1 - 0.1225)^{t}\implies \cfrac{23}{151}=0.8775^t\)

\(\log\left( \cfrac{23}{151} \right)=\log(0.8775^t)\implies \log\left( \cfrac{23}{151} \right)=t\log(0.8775) \\\\\\ \cfrac{~~\log\left( \frac{23}{151} \right)~~}{\log(0.8775)}=t\implies 14.4\approx t\qquad \textit{about 14 years and 146 days}\)

Answer:

The product of (px + qy)(ax − by) is pax^2 + qaxby - pbx^2 - qby^2.

Step-by-step explanation:

Answer: apx^2-bpxy+aqxy-bqy^2

Step-by-step explanation: (px+qy)x(ax-by) Multiply each term in the first parenthesis by each term in the second parenthesis (FOIL). That would give you pxax-bpxy+aqxy-qyby. Then calculate the product pxax which would give you apx^2-bpxy+aqxy-qyby. Calculate the other product qyby which would give you apx^2-bpxy+aqxy-bqy^2.  

The remaining 50.4% of the variance has not been accounted for, and it could be due to other factors that are not captured by the two variables being studied.

If the correlation between two variables is .496, it means that 49.6% of the variance has been accounted for. This is because the correlation coefficient measures the strength and direction of the linear relationship between the two variables, and it ranges from -1 to 1.

A correlation of 1 indicates a perfect positive linear relationship, while a correlation of -1 indicates a perfect negative linear relationship. In this case, a correlation of .496 indicates a moderate positive linear relationship.

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Answer:

its d

Step-by-step

multiply

Step-by-step explanation:

I can explain what each item is, but I don't know exactly what it's asking

5 is a coefficient. The number attached to the left of the variable/term is always called the coefficient

x is the term/variable. Can always change the outcome, it just depends on the value inputed at that place

3 is a constant, since there's no term attached to it, it will always stay 3

Hope this helps in some way

Answer:

47.1 > .00105

Step-by-step explanation:

Given :

5.01×10-3 ? 0.00105

Now,

5.01×10-3 ? 0.00105

50.1-3?0.00105

47.1?0.00105

From the above equation, we can say that 47.1  is greater than 0.00105

Therefore, 47.1 > .00105

The correct representation of the sentence 15 is what percent of 40 is 15 is 37.5% of 40.

A value or ratio that may be stated as a fraction of 100 is referred to as a percentage in mathematics. If we need to calculate a percentage of a number, we should divide it by its entirety and then multiply it by 100. The proportion therefore refers to a component per hundred. Per 100 is what the word percent means. The letter "%" stands for it.

The algebraic representation of the statement 15 is what percent of 40 is:

40 (x/100) = 15

40x / 100 = 15

40x = 1500

x = 1500/40

x = 37.5

Hence, the correct representation of the sentence 15 is what percent of 40 is 15 is 37.5% of 40.

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