Peyton wants to purchase a new refrigerator that has a larger capacity than his current refrigerator. The length, width, and height of his current refrigerator are shown below.

What is the volume of his current refrigerator?

A. 2 1/24 cu. m.
B. 3 17/60 cu. m
C. 7/12 cu. m
D. 1 1/48 cu. m

Answer:

[tex]y=0.25x[/tex]

The graph in the attached figure

Step-by-step explanation:

we have

[tex](0,0),(8,2)[/tex]

Remember that

If the equation of the line passes through the origin

then

The equation of the line represent a direct variation

so

it can be expressed in the form [tex]y=kx[/tex]

The constant of proportionality k is equal to the slope m

step 1

Find the slope

[tex]m=(2-0)/(8-0)=0.25[/tex]

The equation of the line is equal to

[tex]y=0.25x[/tex]

The graph in the attached figure

Answer:

79%

Step-by-step explanation:

The probability that the percent of 18 to 34-year-olds who check social media before getting out of bed in the morning is, at most, 32 is 0.7881 = 78.81%

When the distribution is normal, we use the z-score formula.

In a set with mean  [tex]\mu[/tex]and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:

[tex]Z=\frac{X-\mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean.

After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score.

This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X.

Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

In this question:

[tex]\mu=28,\sigma=5[/tex]

Find the probability that the percent of 18 to 34-year-olds who check social media before getting out of bed in the morning is, at most, 32.

This is the p-value of Z when X = 32. So

[tex]Z=\frac{X-\mu}{\sigma}[/tex]

[tex]Z=\frac{32-28}{5}[/tex]

[tex]Z=0.8[/tex]

Z=0.8 has a p-value of 0.7881

0.7881 = 78.81% probability that the percent of 18 to 34-year-olds who check social media before getting out of bed in the morning is, at most, 32.

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Answer:

42 apples altogether; $70

Step-by-step explanation:

If 3/7 of the apples in a box are red, that means 4/7 of the apples in the box are green. This means that (4/7)x=24 (x=number of apples altogether), since 24 of the apples are green. The equation can then be solved by dividing 24 by 4/7, giving us 42.

x=42

If Josh spent 2/5 of his money and had $42 dollars, $42 would be 3/5 of his money. This means that (3/5)x=42 (x= amount of money he started with). The equation can be solved by dividing 42 by 3/5, which gives us 70.

x=70

there were 42 apples in total and josh initially had $70.

Let the total number of apples be x. Therefore, [tex]\frac{4}{7}[/tex] of x are green apples, and this equals 24:

[tex]\frac{4}{7} \times x = 24[/tex]

We can solve for x as follows:

[tex]x = 24 \times \frac{7}{4}\\\\x = 42[/tex]

So, there are 42 apples in total.

Let y represent the total amount of money Josh had initially. According to the problem, after spending [tex]\frac{2}{5}[/tex] of his money, he had [tex]\frac{3}{5}[/tex] remaining, which equals $42:

[tex]\frac{3}{5} \times y = 42[/tex]

Now we can solve for y as follows:

[tex]y = 42 \times \frac{5}{3}\\\\y = 70[/tex]

Josh initially had $70.

So, there were 42 apples in total and josh initially had $70.

Answer: All of them besides 2/9

Step-by-step explanation:

2/3 equels 6/9 and 8/12. That first explanation is for the last to answers.

The first 2 have numerators greater than the denominator.

Answer:

A) 0.38

Step-by-step explanation:

By SOH CAH TOA, the sine of an angle is its opposite side divided by the hypotenuse.

The opposite of ∠C is 5, and the hypotenuse is 13.

So, sin(C) = 5/13 ≈ 0.38.

For this case we have to define trigonometric relations of rectangular triangles that the sine of an angle is given by the leg opposite the angle on the hypotenuse of the triangle. That is to say:

[tex]Sin (C) = \frac {5} {13}\\Sin (C) = 0.38[/tex]

Answer:

Option A

Answer:

A

Step-by-step explanation:

?? That a tuff one.hope u find the answer soon

Answer: 630 apples in the delivery

Step-by-step explanation: There are 15 pieces of fruit. 15 is the only number by 3 to get a even 5. So their are 5 oranges in each bag and 10 apples(because they are doubled) now there are 10 apples in each bag and 63 bags. You multiply 63x10=630

Therefore 630 is your answer

The answer to this problem is 0.80

The square root of 7/11 is 0.240522846.

Answer:

never

Step-by-step explanation:

The given path equation describes a path that starts at h(0) = 5, decreases to h(2) = -7, then increases without bound.

Assuming the projectile stops moving when h(x) = 0, it starts at its maximum height at ...

x = 0

Answer:

m(ARC)EHL: 108°

m(ARC)LVE: 252°

Step-by-step explanation:

Hey, so initially, we should start off with some stuff:

The sum of the arcs add up to 360°

m∠EYL=72°

We can create a system and use substitution to find the measure of an arc we don't know.

Step 1: We can use the 'Secants exterior angle theorem' to help us find the measure of (ARC)EHL.

<EYL=1/2((ARC)EVL-[ARC]EHL) (the theorem)

Step 2: By using substitution, we can say that (ARC)EVL=360°-(ARC)EHL

Thus, when we substitute it back into the theorem, the answer will be <EYL=1/2((360°-(ARC)EHL)-(ARC)EHL)=72°

Step 3: When we solve this out (and you can replace (ARC)EHL with x when solving), you will get an answer of x=108° or (ARC)EHL=108°.

Step 4: (ARC)LVE will be equal to 360°-m(ARC)EHL, which, when we substitute, will be 360°-108°, which will come out to be 252°.

Therefore, by algebra, substitution, and part-whole-postulate, (ARC) LVE=252°.

This is right, this was one of my problems for my 8th grade RSM online homework :)

Answer: Third Option

[tex]P (M\ or\ N) = 0.8[/tex]

Step-by-step explanation:

In this case, we have two non-disjoint events.

 So the probability of M or N occurring is

[tex]P (M\ or\ N) = P(M) + P(N) - P (M\ and\ N)[/tex]

We know that in this problem

[tex]P(M) = 0.7\\\\P(N) = 0.5[/tex]

[tex]P(M\ and\ N) = 0.4[/tex]

So

[tex]P (M\ or\ N) = 0.7 + 0.5 - 0.4[/tex]

[tex]P (M\ or\ N) = 0.8[/tex]

The answer is the third option

Quartiles are 3 points such that they create four groups in the data. For the following set of data, the value of the lower quartile is 78.

When we get data which can be compared relatively with each other, for finding quartiles, we arrange them in ascending or descending order.

Quartiles are then selected as 3 points such that they create four groups in the data, each group approximately possessing 25% of the data.

Left to right is said in the assumption that data were arranged increasingly from left to right.

The given data set has 9 points, therefore, the first quartile will have the average value of the 2nd and the 3rd number when arranged in increasing order. Therefore, the value of the first quartile will be,

First quartile = (75+81)/2 = 78

Hence, For the following set of data, the value of the lower quartile is 78.

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Answer:

Estimated cost; $9

Exact amount; $9.69

Step-by-step explanation:

We are told that ​Annie bought 3/4 kg of cocoa powder, which cost $12.92 per kg.

a.

We are required to estimate the cost of the 3/4 kg of cocoa powder given that 1 kg costs 12.92

We can round down the cost of a kg to obtain $12 per kg. Therefore, 3/4 of a kg will cost approximately;

(3/4) of 12

= (3/4)*12 = $9

Thus the estimated cost is $9

b.

We are required to determine the the exact amount she had to pay for the 3/4 kg of cocoa powder;

1 kg cost 12.92

3/4 of a kg will cost;

(3/4) of 12.92

= (3/4) * 12.92

Using a calculator we have;

9.69

Therefore, the exact amount paid was $9.69

Answer:

Part a) The estimate cost is about $9

Part b) The exact cost is $9.69

Step-by-step explanation:

we know that

Annie bought 3/4 kg of cocoa powder, which cost $12.92 per kg

Part a

To find the estimate cost round the numbers and multiply

we have

[tex]\$12.92=\$12[/tex] -----> round down

so

[tex]\frac{3}{4}(12)=\$9[/tex]

Part b

To find the exact amount she had to pay, multiply 3/4 by $12.92

so

[tex]\frac{3}{4}(12.92)=\$9.69[/tex] ----> exact value

Answer:

1/6, 1/3, 2/3

Step-by-step explanation:

Given data:

The sum of the first three terms of a finite geometric series is7/6 and their product 1/27 is .

Let a/r , a and ar be the three terms of a finite geometric series then:

a/r + a + ar = 7/6

and

(a/r) x (a) x (ar) = 1/27

Now first solving for a:

solving second equation

a^3r/r = 1/27

a^3= 1/27

a = 1/[tex]\sqrt[3]{27}[/tex]

a=1/3

Now solving for r:

Solving first equation

 a/r + a + ar = 7/6

Putting value of a= 3 in above equation

1/3r + 1/3 + r/3 = 7/6

(1+r+r^2)/3r= 7/6

6(1+r+r^2)= 7(3r)

6+ 6r+ 6r^2= 21r

6r^2 - 15r +6=0

r=2

Hence the first three terms of a finite geometric series are

a/r= (1/3)/(2)

    = 1/6

a= 1/3

ar= 1/3 (2)

   =2/3 !

Answer:

[tex]\large\boxed{\cot\theta(\tan\theta+\cot\theta)=1+\cot^2\theta=\dfrac{1}{\sin^2\theta}=\csc^2\theta}[/tex]

Step-by-step explanation:

[tex]\text{Use}\\\\\text{distributive property:}\ a(b+c)=ab+ac\\\cot\alpha\tan\alpha=1.\\\\======================\\\\\cot\theta(\tan\theta+\cot\theta)=(\cot\theta)(\tan\theta)+(\cot\theta)(\cot\theta)\\\\=1+\cot^2\theta\\\\\text{If you want next transformation, then use:}\\\\\cot\alpha=\dfrac{\cos\alpha}{\sin\alpha}\\\\\sin^2\alpha+\cos^2\alpha=1\\\\=======================[/tex]

[tex]=1+\left(\dfrac{\cos\theta}{\sin\theta}\right)^2=1+\dfrac{\cos^2\theta}{\sin^2\theta}=\dfrac{\sin^2\theta}{\sin^2\theta}+\dfrac{\cos^2\theta}{\sin^2\theta}=\dfrac{\sin^2\theta+\cos^2\theta}{\sin^2\theta}\\\\=\dfrac{1}{\sin^2\theta}\\\\\text{If you want next transformation, then use:}\\\\\csc\alpha=\dfrac{1}{\sin\alpha}\\\\=\left(\dfrac{1}{\sin\theta}\right)^2=(\csc\theta)^2=\csc^2\theta[/tex]

29 out of 40 as a percentage is simply 29 divided by 40 (29/40): 0.725 = 72.5%

126 out of 200 as a percentage is the same process = 63%

Hope this helps!! :)

29 out of 40 as a percentage

126 out of 200 as a percentage is 63%

A percentage is defined as the ratio that can be expressed as a fraction of 100.

To express 29 out of 40 as a percentage:

(29/40) * 100 = 72.5%

Thus, 29 out of 40 as a percentage is 72.5%.

To express 126 out of 200 as a percentage:

(126/200) * 100 = 63%

Thus, 126 out of 200 as a percentage is 63%.

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First, let's look at the formulas for the area of square and area of the rectangle.

[tex]A_{square}=a^2[/tex]

[tex]A_{rectangle}=a\cdot b[/tex]

And what this exercise states is that the areas are the same. So:

[tex]A_{square}=A_{rectangle}\Longrightarrow a^2=a\cdot b[/tex]

Now put in the data.

[tex]a^2=2\cdot8[/tex]

Solve for [tex]a[/tex]:

[tex]a=\sqrt{2\cdot8}=\sqrt{16}=\boxed{4}[/tex]

The side of the square garden plot is 4 meters.

Hope this helps.

r3t40

Answer:

1 and 1/4

Step-by-step explanation:

3/4 + 1/2 = 3/4 + 2/4 = 5/4 = 1 1/4

Answer:

[tex]1\frac{1}{4}[/tex]

Step-by-step explanation:

In order to calculate this you just have to add up both of the values that you are given, and to do that, you first have to convert the the values into the same denominator:

[tex]\frac{1}{2} +\frac{3}{4} =\frac{2}{4}+\frac{3}{4}  =\frac{2+3}{4} =\frac{5}{4} =1\frac{1}{4}[/tex]

So the value of the addition of both would be: [tex]1\frac{1}{4}[/tex]

Answer:

[tex](x +3)^2 + (y-4)^2 = 4[/tex]

Step-by-step explanation:

The general equation of a circle is

[tex](x-h)^2 + (y-k)^2 = r^2[/tex]

In this equation, 'r' represents the radius of the circle and (h,k) represents the central point of the circle.

Radius of the circle is half of the diameter = d/2

From figure, ther diameter of the circle is calculated using (y2-y1) or (x2-x1)

In this figure,

y2 = 6

y1 = 2

d = (y2 - y1) = 6-2 =4

This can also be verified using the values of x

x2 = -1

x1 = -5

d = (x2 - x1) = (-1 - -5) = (-1 + 5) = 4

Also,

r = d/2 = 4/2

r = 2

h represents the horizental distance and k represents the vertical distance of the center of the circle from the origan (0,0).

Therefore,

h = 0 - 3 = -3 as the center of circle is 3 units left to the origan

k = 0 + 4 = 4 as the center of circle is 4 units above to the origan

Therefore the equation of circle becomes

[tex](x-h)^2 + (y-k)^2 = r^2[/tex]

[tex](x-(-3))^2 + (y-(4))^2 = 2^2[/tex]

[tex](x +3)^2 + (y-4)^2 = 4[/tex]

Answer:

96

Step-by-step explanation:

for every 3 cars there is 2 trucks

If you have 144 cars then we divide 144 by 3 to get 48

That is not the answer though because that would be a 3/1 ratio

We then multiply 48 by 2 to get 96

To find the number of trucks at the dealership, we interpret the ratio 3:2, meaning that for every 3 cars, there are 2 trucks. We figure out that '1' in the ratio is equivalent to 48 vehicles. So, we multiply the trucks component of the ratio (2) by this value to get 96 trucks.

To solve this problem, you must interpret the ratio of cars to trucks as 3:2. This means for every 3 cars, there are 2 trucks. We need to use this ratio to find out how many trucks there are if there are 144 cars.

The first step is to figure out what proportion 144 cars represents within the ratio. To find this, we can divide the number of cars by the cars component of the ratio (3) which gives us: 144 ÷ 3 = 48.

Now we know that '1' in our ratio represents 48 vehicles. So to find out how many trucks, we multiply the trucks component of the ratio (2) by this value, which gives us: 48 x 2 = 96 trucks.

Therefore, if there are 144 cars at the dealership, there are 96 trucks.

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D. 83 deggrees I think hopeful

Answer: D

Step-by-step explanation:

That angle is smaller than a “right angle”. A “right angle” is 90 degrees. Therefore, the missing angle measure is less than 90 degrees.

[tex]

5(6\times2y+y)+3y(-2\times2-5) \\

5(12y+y)+3y(-4-5) \\

60y+5y+3y(-9) \\

60y+5y-27y \\

60y-22y \\

\boxed{38y}

[/tex]

Answer:

Small box weighs 13.75 kg & large box weighs 15.75 kg

Step-by-step explanation:

We can write 2 simultaneous equation and solve for weight of each box.

Let weight of large box be l and small box be s.

"3 large boxes and  5 small boxes has a total weight of  116 kilograms":

[tex]3l+5s=116[/tex]

and

"9 large boxes and  7 small boxes has a total weight of  238 kilograms":

[tex]9l+7s=238[/tex]

Now we can solve for l in the 1st equation and put it into 2nd equation and get s:

[tex]3l+5s=116\\3l=116-5s\\l=\frac{116-5s}{3}[/tex]

now,

[tex]9l+7s=238\\9(\frac{116-5s}{3})+7s=238\\3(116-5s)+7s=238\\348-15s+7s=238\\348-238=15s-7s\\110=8s\\s=\frac{110}{8}=13.75[/tex]

now we plug in 13.75 into s into equation of l to find s:

[tex]l=\frac{116-5s}{3}\\l=\frac{116-5(13.75)}{3}\\l=15.75[/tex]

Answer:

10y + 2

Step-by-step explanation:

The formula for the perimeter of a rectangle or square is [length + length + width + width = perimeter  or  2(length) + 2(width) = perimeter]

Our length here is y + 2. Either formula you use, [(y+2) + (y+2) or 2(y+2)] you should get the answer 2y + 4.

Next our width. The width is 4y-1. Either formula you use, [(4y-1) + (4y-1) or 2(4y-1)] you should get 8y - 2.

Then, simply add (2y+4) and (8y-2) to get 10y + 2. So, the perimeter of the garden is 10y + 2.

I hope this helps!

Answer:

log 13 = 1.1139

Step-by-step explanation:

log 13 = 1.1139

Answer:

log 13 = 1.1

Step-by-step explanation:

Given  : log 13.

To find : What is the value round your answer to the nearest tenth.

Solution : We have given log 13.

log 13 = 1.113.

Nearest tenth = 1.1

Therefore, log 13 = 1.1

Answer:

2x³ + x² - 14x - 7

Step-by-step explanation:

The product of f(x) and g(x) is

(2x + 1)(x² - 7)

Each term in the second factor is multiplied by each term in the first factor

2x(x² - 7) + 1 (x² - 7) ← distribute both parenthesis

= 2x³ - 14x + x² - 7

= 2x³ + x² - 14x - 7 ← in standard form

Answer:

72 sq. inch.

Step-by-step explanation:

9 inches in feet is 9/12 = 0.75 feet.

We can set up a ratio to figure out the width of the scale drawing.

[tex]\frac{36}{0.75}=\frac{32}{x}[/tex]

This means "if 36 feet is 0.75 feet in drawing, how much (let that be x) is 32 feet?"

let's cross multiply and solve for x:

[tex]\frac{36}{0.75}=\frac{32}{x}\\36x=32*0.75\\36x=24\\x=\frac{24}{36}=\frac{2}{3}[/tex]

So width is 2/3 feet and length is 0.75 feet.

Converting back to inches (since we need the area in sq. inches):

2/3 feet = 2/3 * 12 = 8 inches, and

0.75 feet = 0.75 * 12 = 9 inches

Hence, area is 8 * 9 = 72 sq. inches.

Answer:

Is this a question?

Step-by-step explanation:

You're correct, but this isn't a question...

Answer:

[tex]2^{2} \times a \times b^{2}=4ab^{2}[/tex]

Step-by-step explanation:

Greatest common factor of two or more terms is the largest(greatest) possible term which exactly divides all the given term. For example the greatest common factor of 20 and 30 is 10 as 10 is the largest possible number that can exactly divide 20 and 30 without leaving any remainder. GCF is found as the product of all the common factors

Given terms are:

[tex]8a^{3} b^{2} =2^{3}\times a^{3}\times b^{2}[/tex]

[tex]12ab^{4}=4 \times 3 ab^{4} =2^{2} \times 3 \times a \times b^{4}[/tex]

From the above factors we can see that the common factors are:

[tex]2^{2} , a , b^{2}[/tex]

Therefore, the greatest common factor will be:

[tex]GCF=2^{2} \times a \times b^{2}=4ab^{2}[/tex]

The greatest common factor of 8a³b² and 12ab⁴ is 4ab², found by identifying the smallest powers of the common factors in each term.

To find the greatest common factor (GCF) of the given terms, we need to identify the highest power of each variable that appears in both terms.

The prime factorization of 8 is [tex]\(2^3\)[/tex], and the prime factorization of 12 is [tex]\(2^2 \times 3\)[/tex]. Thus, the greatest common factor of the coefficients is [tex]2^2 = 4.[/tex]

For the variables a and b:

- [tex]\(a^3\)[/tex] appears in the first term.

- a appears in the second term.

- [tex]\(b^2\)[/tex] appears in both terms.

So, the greatest common factor of [tex]\(a^3 b^2\) and \(ab^4\) is \(ab^2\).[/tex]

Therefore, the greatest common factor of [tex]\(8a^3 b^2\) and \(12ab^4\) is \(4ab^2\).[/tex]

$9.95 - 30% = $6.97