15x120 helppp what is this and how do u get the answer

Answer:

Great question

Step-by-step explanation:

Answer: A

Step-by-step explanation:

Volume= LxWxH so we get 20x28x24 as given.

Volume= 13,440 which is the volume of the box given. ANd so if the box is 10,500cubic inches, we subtract to find the difference.

13,440-10,500= 2,940 Cubic Inches

Option A

Answer:

Part A:  13440 cubic inches.

Part B: A - 2940 cubic inches.

Step-by-step explanation:

The volume of the box = 24x20x28 = 13440 cubic inches.

The problem tells us that his gift is 10,500 cubic inches. So subtract that from the volume of the box.

13440-10500 = 2940 cubic inches. The answer is A.

9514 1404 393

Answer:

  x = 1/6

Step-by-step explanation:

The relevant rules of exponents are ...

  (a^b)/(a^c) = a^(b-c)

  (a^b)^c = a^(bc)

__

The fraction inside parentheses evaluates to ...

  3^(3/4 -3/8) = 3^(3/8)

Then the whole expression evaluates to ...

  (3^(3/8))^(4/9) = 3^((3/8)(4/9)) = 3^(12/72) = 3^(1/6)

The value of x is 1/6.

We can find the coordinates of the point that partitions a line segment into a ratio of 1 to 5 by using the formula:

(x, y) = (x1 + r * (x2 - x1), y1 + r * (y2 - y1))

Where (x1, y1) and (x2, y2) are the coordinates of the endpoints of the line segment, and r is the ratio of the distance from the starting point to the point of interest, to the total distance of the line segment. In this case, r = 1/(1 + 5) = 1/6.

We know the coordinates of the two endpoints of the line segment:

(x1, y1) = (-10, 9)

(x2, y2) = (-4, 3)

So, we can substitute these values into the formula and find the coordinates of the point that partitions the line segment into a ratio of 1 to 5:

(x, y) = (-10 + (1/6) * ((-4) - (-10)), 9 + (1/6) * (3 - 9))

= (-10 + (1/6) * (-6), 9 + (1/6) * (-6))

= (-10 -1/6, 9 -1)

= (-10/6 -1/6, 3/2 -1)

= (-16/6, 3/2 -1)

= (-8/3,-1/2)

So, the coordinates of the point on the directed line segment from (-10, 9) to (-4, 3) that partitions the segment into a ratio of 1 to 5 is (-8/3,-1/2)

It is important to notice that this point is a vector and not a point in the Cartesian plane

Answer:

The amount to be raised at the fund raiser is $3,333.33

Step-by-step explanation:

Here, we want to know the amount of money needed to be raised for the fundraiser

Let the amount raised be $x

Thus;

15% of $x = $500

$500 is the cost of the fund raiser

15/100 * x = 500

15x/100 = 500

15x = (100 * 500)

x = (100 * 500)/15

x = 3,333.33

Chay can use 3 bags of mulch per flower bed.

Chay is buying mulch for the zoo's summer flower beds. She has enough in her budget to purchase 55 bags of mulch. If there are 20 flower beds, how many bags of mulch can be used in each flower bed?The number of bags of mulch that can be used in each flower bed can be found by dividing the total number of bags of mulch by the number of flower beds, as given by the problem.Let X be the number of bags of mulch used in each flower bed. Then, the following equation can be written:Total number of bags of mulch = X × number of flower beds (20)Or, 55 = 20XDividing both sides of the equation by 20, we get: X = 55/20X = 2.75.Therefore, Chay can use 2.75 bags of mulch in each flower bed. However, since we cannot have a fraction of a bag of mulch, she would have to round up to 3 bags of mulch per flower bed to ensure each flower bed has enough mulch.

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The expression (-3)0 has a value of 0 when evaluated because a number multiplied by 0 gives 0

From the question, we have the following parameters that can be used in our computation:

(-3)0

The above statement is a product expression that multiplies the values of -3 and 0

Also, there is no need to check if there are like terms in the expression or not

This is  because we are multiplying the factors

So, we have

(-3)0 = 0

This means that the value of the expression is 0 i.e a number multiplied by 0 gives 0

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The area of the square is given as 100 square unit

You should be aware that the square has all its sides equal

The perpendicular from opposite vertices represent distance

The given vertices are

(2,2) and (10,8)

Using the formula for distance between two points

d=√(10-2)²+(8-2)²

d=√8²+6²

d = √64+36

d=√100

This implies that d=10

The area of a square is given as s²

Area = 10²

Atrea = 100 square units

In conclusion, the area of the square is 100 square units

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Translated question:

The vertices of a square ABCD are A(2,2) and B(10,8), Find the area of the square

We can rewrite the expression as ln(x-6) - 11*ln(x)/8, which can then be evaluated by using a calculator.

Logarithmic functions can be used to describe relationships between two variables that involve exponential rates of change.

The logarithmic expression 8ln (x-6) - 11 In x can be written as a single logarithm whose coefficient is 1 by using the properties of logarithms.

First, we rearrange the terms to put the ln terms together: 8ln (x-6) - 11lnx = ln(x-6) - 11lnx/8.

We can then use the property of logarithms that states that

log(ab) = log a + log b.

This allows us to rewrite the expression as ln(x-6/x¹¹/8). Finally, we can simplify the expression by using the property of logarithms that states that log(a/b) = loga - logb. This allows us to rewrite the expression as ln(x-6) - ln(x¹¹/8). The final expression is ln(x-6) - ln[(x¹¹/8)], which is a single logarithm whose coefficient is 1.

If we were to evaluate the expression, we could use the property of logarithms that states that logaᵇ = b*log a.

We can rewrite the expression as ln(x-6) - 11*ln(x)/8, which can then be evaluated by using a calculator.

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Formulating a system of equation for solving this exercise, we have:

Let A represent the distance traveled by the first car.

Let B represent the distance traveled by the second car.

800 will be the initial distance of car B.

0 will be the initial distance of car A.

Let V represent the velocity of car A.

Let Z represent the velocity of car B.

Let t represent time in hours. It is equal to 5.

A= 0 + V(t) Equation 1

B= 800 - Z(t) Equation 2

Solving the system of equations we have:

The answer is 75 km/h

Answer:

21)  x = 22.9,  y = 38.4

22)  x = 14.0,  y = 98.0

Step-by-step explanation:

As the interior angles of a triangle sum to 180°, the measure of the third angle of the given triangle is 100°.

\(\implies 180^{\circ}-52^{\circ}-28^{\circ}=100^{\circ}\)

As we know all interior angles and the length of one side of the triangle, we can use the Law of Sines to find the the values of x and y.

\(\boxed{\begin{minipage}{7.6 cm}\underline{Law of Sines (sides)} \\\\$\dfrac{a}{\sin A}=\dfrac{b}{\sin B}=\dfrac{c}{\sin C}$\\\\\\where:\\ \phantom{ww}$\bullet$ $A, B$ and $C$ are the angles. \\ \phantom{ww}$\bullet$ $a, b$ and $c$ are the sides opposite the angles.\\\end{minipage}}\)

From inspection of the given triangle:

Substitute these values into the Law of Sines formula:

\(\dfrac{x}{\sin 28^{\circ}}=\dfrac{y}{\sin 52^{\circ}}=\dfrac{48}{\sin 100^{\circ}}\)

Solve for x:

\(\implies \dfrac{x}{\sin 28^{\circ}}=\dfrac{48}{\sin 100^{\circ}}\)

\(\implies x=\dfrac{48\sin 28^{\circ}}{\sin 100^{\circ}}\)

\(\implies x=22.882268...\)

\(\implies x=22.9\; \sf (nearest\;tenth)\)

Solve for y:

\(\implies \dfrac{y}{\sin 52^{\circ}}=\dfrac{48}{\sin 100^{\circ}}\)

\(\implies y=\dfrac{48\sin 52^{\circ}}{\sin 100^{\circ}}\)

\(\implies y=38.408020...\)

\(\implies y=38.4\; \sf(nearest\;tenth)\)

Therefore, the values of x and y (rounded to the nearest tenth) are:

\(\hrulefill\)

As we know the lengths of two sides of the triangle and their included angle, we can use the Cosine Rule to find the measure of side x.

\(\boxed{\begin{minipage}{6 cm}\underline{Cosine Rule} \\\\$c^2=a^2+b^2-2ab \cos C$\\\\where:\\ \phantom{ww}$\bullet$ $a, b$ and $c$ are the sides.\\ \phantom{ww}$\bullet$ $C$ is the angle opposite side $c$. \\\end{minipage}}\)

From inspection of the given triangle:

Substitute these values into the Cosine Rule and solve for x:

\(\implies x^2=11^2+19^2-2(11)(19)\cos 47^{\circ}\)

\(\implies x^2=482-418\cos 47^{\circ}\)

\(\implies x=\sqrt{482-418\cos 47^{\circ}}\)

\(\implies x=14.0329856...\)

\(\implies x=14.0\; \sf (nearest\;tenth)\)

Now use the Law of Sines to calculate angle y.

As angle y is obtuse, and the sine of an obtuse angle is the same as the sine of its supplement, then:

\(\implies \dfrac{x}{\sin 47^{\circ}}=\dfrac{19}{\sin (180-y)^{\circ}}\)

Rearrange the equation to isolate y:

\(\implies \sin (180-y)^{\circ}=\dfrac{19\sin 47^{\circ}}{x}\)

\(\implies (180-y)^{\circ}=\sin^{-1}\left(\dfrac{19\sin 47^{\circ}}{x}\right)\)

\(\implies y^{\circ}=180^{\circ}-\sin^{-1}\left(\dfrac{19\sin 47^{\circ}}{x}\right)\)

Substitute the found value of x and evaluate:

\(\implies y^{\circ}=180^{\circ}-\sin^{-1}\left(\dfrac{19\sin 47^{\circ}}{14.0329856...}\right)\)

\(\implies y^{\circ}=180^{\circ}-81.9795708...^{\circ}\)

\(\implies y^{\circ}=98.020429...^{\circ}\)

\(\implies y=98.0\; \sf (nearest\;tenth)\)

Therefore, the values of x and y (rounded to the nearest tenth) are:

Thomas' installment payment that he pays in one fortnight is approximately k523.08.

To calculate Thomas' installment payment, we need to consider the principal amount (k10,000) and the interest rate (36%).

First, let's calculate the total amount to be repaid at the end of the year, including the interest. The interest is calculated as a percentage of the principal amount:

Interest = Principal × Interest Rate

= k10,000 × 0.36

= k3,600

The total amount to be repaid is the sum of the principal and the interest:

Total Amount = Principal + Interest

= k10,000 + k3,600

= k13,600

Now, we need to calculate the number of fortnights in a year. There are 52 weeks in a year, and since each fortnight consists of two weeks, we have:

Number of Fortnights = 52 weeks / 2

= 26 fortnights

To find the installment payment for each fortnight, we divide the total amount by the number of fortnights:

Installment Payment = Total Amount / Number of Fortnights

= k13,600 / 26

≈ k523.08

Therefore, Thomas' installment payment that he pays in one fortnight is approximately k523.08.

It's important to note that this calculation assumes equal installment payments over the course of the year. Different repayment terms or additional fees may affect the actual installment amount. It's always advisable to consult with the bank or financial institution for accurate information regarding loan repayment.

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The set in set builder notation is written as;

A = { x | 16 ≤ x ≤ 19 , x ∈ |N }

What is Set builder notation?

In a set-builder notation all the elements of the set must possess a single property to become the member of that same set.

The set is given as;

⇒ 16, 17, 18, 19

Now, In set builder notation it can be written as,

⇒ A = { x | 16 ≤ x ≤ 19 , x ∈ |N }

Where, 'A' is set defined for the given data set.

So, The set in set builder notation is written as;

A = { x | 16 ≤ x ≤ 19 , x ∈ |N }

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Answer:

three factors

Step-by-step explanation:

a.) The value of pulses exported by US in billion would be=30 billion.

b.) The ratio of wheat export of UK to maize export of IND would be= 6:5

For question a.)

To calculate the pulses, the following steps should be taken as follows:

From the bar chart, the value of pulses in billions = 30 billions.

For question b.)

The ratio of wheat export at UK and maize export at IND would be calculated as follows:

The quantity of wheat export at UK = 24

The quantity of maize export at IND = 20

Therefore, the ratio of wheat to maize = 24:20= 6:5

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The work required to pump the water out of the spout is approximately 64,307,077 ft-lb

To find the work required to pump the water out of the spout, we need to calculate the weight of the water in the tank and then convert it to work using the formula: work = force × distance.

First, let's calculate the volume of water in the tank. The frustum of a cone can be represented by the formula: V = (1/3)πh(r1² + r2² + r1r2), where r1 and r2 are the radii of the two bases and h is the height.

Given r1 = 3 ft, r2 = 6 ft, and h = 12 ft, we can calculate the volume:

V = (1/3)π(12)(9 + 36 + 18) = 270π ft³

Now, we can calculate the weight of the water using the density of water:

Weight = density × volume = 62.5 lb/ft³ × 270π ft³ ≈ 53125π lb

Next, we convert the weight to force by multiplying it by the acceleration due to gravity (32.2 ft/s²):

Force = Weight × acceleration due to gravity = 53125π lb × 32.2 ft/s² ≈ 1709125π lb·ft/s²

Finally, we can calculate the work by multiplying the force by the distance. Since the water is being pumped out of the spout, the distance is equal to the height of the frustum, which is 12 ft:

Work = Force × distance = 1709125π lb·ft/s² × 12 ft ≈ 20509500π lb·ft ≈ 64307077 lb·ft

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Using the exponential Decay relation, the value of the car after 6 years will be :$17657.740

Using the exponential decline relation :

Final value of car after 6 years :

Final value = 45200(1 - 0.145)^6

Final value = 45200(0.855)^6

Final value = 45200(0.390657969445640625)

Final value = 17657.740

Therefore, the final value of the car after six years is $17657.740

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The approximate distance around the outside of the circular field is the circumference = 172.7 feet and the correct option is B.

To calculate the circumference of a circle, multiply the diameter of the circle with π (pi). The circumference can also be calculated by multiplying 2×radius with pi (π = 3.14).

We shall derive the approximate distance around the outside of the circular field by calculating for the circumference as follows:

Radius of the circular feild = 27.5

circumference of the circular feild = 2 × 27.5 feet × 3.14

circumference of the circular feild = 55 feet × 3.14

circumference of the circular feild = 172.7 feet.

Therefore, the approximate distance around the outside of the circular field is derived as the circumference which is equal to 172.7 feet.

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Answer:

\(x=8, y=3\)

Step-by-step explanation:

Recall that if a matrix multiplication of two matrices is defined, then the number of columns of the first matrix is equivalent to the number of rows of the second matrix.

Since matrix M has (11-x) columns and matrix N has y rows, and MN is defined, so it follows:

\(y=11-x----(1)\)

Since matrix N has (y+5) columns and matrix M has x rows, and NM is defined, so it follows:

\(y+5=x----(2)\)

Substitute (1) into (2):

\(11-x+5=x\\2x=16\\\therefore x=8--(3)\)

Substitute (3) into (1):

\(y=11-8=3\)

Answer:

a) The third quartile Q₃ = 56.45

b) The variance = 2633.31

Step-by-step explanation:

a) The coefficient of skewness formula is given as follows;

\(SK = \dfrac{Q_{3}+Q_{1}-2Q_{_{2}}}{Q_{3}-Q_{1}}\)

Plugging in the values, we have;

\(-0.38 = \dfrac{Q_{3}+30.8-2 \times 48.5_{_{}}}{Q_{3}-30.8}\)

Solving gives Q₃ = 56.45

b) To determine the variance, we use the skewness formula as follows;

\(SK_{p} = \dfrac{Mean-\left (3\times Median - 2\times Mean \right )}{\sigma } = \dfrac{3\times\left ( Mean - Median \right )}{\sigma }\)

Plugging in the values, we get;

\(-0.38= \dfrac{42-\left (3\times 48.5- 2\times 42\right )}{\sigma } = \dfrac{-19.5}{\sigma}\)

\(\therefore \sigma =\dfrac{-19.5}{-0.38} = 51.32\)

The variance = σ² = 51.32² = 2633.31.

Answer:

Part A

The expression for the total amount of money Liz and Andy makes selling necklaces at the fair is

The total amount they both make from selling necklaces = 8·L + 8·A

Part B

The total amount they both make from selling jewelries = 35 + 8·L + 8·A

Step-by-step explanation:

The amount at which Liz and Andy sells necklaces = $8

The amount Andy makes selling bracelets = $35

Part A

The total amount of necklaces Liz sells = L

The total amount of necklaces Andy sells = A

The expression for the total amount of money Liz and Andy makes selling necklaces at the fair, 'N', is given as follows;

N = 8·L + 8·A

Part B

The expression for the total amount of money Liz and Andy makes selling jewelries at the fair, 'J', is given as follows;

J = 35 + 8·L + 8·A

Answer:

Longest

Step-by-step explanation:

The moon appears red during a lunar eclipse because red is the Longest wavelength of light in the color spectrum present in sunlight.

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The term that can be added to the list so that the greatest common factor of the three terms  12h3 36h3, 12h6, is 48h5

A group of numbers' greatest common factor (GCF) is the biggest factor that all the numbers have in common. For instance, 12, 20, and 24 all share two characteristics.

The term that  can fit in to the list so the GCF is 12h3 would be 48h5, this is so because 48 is first divisible by 12  without any  fraction, and we can remove upon dividing 3 h's from this term as it contains a total of 5 h's.

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Answer:

x=10

Step-by-step explanation:

divide by 3 on both sides then add 6 on both sides

Answer:

the answer is x=10, x=2

Step-by-step explanation:

hope that helps

Using the values of the table we can estimate the limit to be 1, so the correct option is the third one.

We want to take the limit of the difference quotient when h tends to zero.

Then we can use the table.

Let's say that h = 0.001 (really close to zero)

Then:

(f(3 + h) - f(3))/h = (f(3.001) - f(3))/0.001

Using the table, we can see that:

f(3.001) = 5.001

f(3) = 5

Then we will get:

(5.001 - 5)/0.001 = 1

Then the limit appears to be 1.

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Answer:

-32

Step-by-step explanation:

Khanacademy

Answer:

85 per hour

Step-by-step explanation:

divided 170 by 2 and that gives you 85