Plz help me with my school work.

To isolate the variable and solve the equation, shift all terms associated with X to the other side of the equation (i.e to the other side of =). The solution of  is: \(X-62= 123\) is \(X=185\)

To isolate the variable and solve the equation \(X-62=123\) , shift all terms associated with X to the other side of the equation (i.e to the other side of =).

given: \(X-62=123\)

in the given equation 62 is associated with X, now we shift -62 to the right side of the = sign . So it becomes +62 on another side.

∴ \(X = 123+62\)

∴ \(X=185\)

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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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An equation for the nth term of the arithmetic sequence is 2 + 0.5n.

What is an arithmetic sequence?

An arithmetic sequence is a set of integers where each term (except the first) is created by adding a fixed amount to the term before it.

Given, initial distance = 2 miles

Let n be each day on which he jogs one-half (1/2 = 0.5) mile.

Then, according to the question,

nth term = 2 + 0.5n

Hence, an equation for the nth term of the arithmetic sequence is 2 + 0.5n.

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The equation of the line that passes through the points (1, 0) and (3, 6) is y = 3x - 3.

To find the equation of a line passing through two points, we can use the slope-intercept form of a linear equation: y = mx + b, where m is the slope of the line and b is the y-intercept.

Given points:

Point 1: (1, 0)

Point 2: (3, 6)

Step 1: Calculate the slope (m) using the formula:

m = (y2 - y1) / (x2 - x1)

Substituting the coordinates:

m = (6 - 0) / (3 - 1)

m = 6 / 2

m = 3

Step 2: Substitute one of the given points and the slope into the equation y = mx + b to find the y-intercept (b).

Using Point 1 (1, 0):

0 = 3(1) + b

0 = 3 + b

b = -3

Step 3: Write the equation of the line using the slope (m) and the y-intercept (b):

y = 3x - 3

Therefore, the equation of the line that passes through the points (1, 0) and (3, 6) is y = 3x - 3.

This equation represents a line with a slope of 3, indicating that for every increase of 1 unit in the x-coordinate, the y-coordinate increases by 3 units. The y-intercept of -3 means that the line crosses the y-axis at the point (0, -3). By substituting any x-value into the equation, we can determine the corresponding y-value on the line.

Hence, the equation of the line passing through (1, 0) and (3, 6) is y = 3x - 3.

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Answer:

8

Step-by-step explanation:

If you want a square pool each side is going to be the same length. So if we check each length we can find the correct one that is between 50 and 75.

1 x 1 = 1

2 x 2 = 4

3 x 3 = 9

4 x 4 = 16

5 x 5 = 25

6 x 6 = 36

7 x 7 = 49

8 x 8 = 64

9 x 9 = 81

As we can see if a pool has side length of 8 feet, we will have a correctly sized pool.

Answer: (6,3)

Step-by-step explanation:

Since C is 2 units from the line of reflection, and it lies on the left of the line of reflection, C' will lie 2 units to the right of the line of reflection.

Therefore, C'=(6,3).

Answer: 160

Step-by-step explanation:

80 x 2 = 160

The component of u+v along the length of u and v  is (6.3, 0.66).

A vector is quantity which has both magnitude and direction. A magnitude is the length of the vector.

Here in the question u and v makes angle with the positive x axis.

||u||= 4 and θu =6  and  ||v|| = 1, θv = 4

To determine the component of u = |u||(cosu, sinu)

Component of u = 6(0.9, 0.1) = (5.4, 0.6)

Component of v = ||v||(cosv sinv)

Component of v  along the x axis = 1(0.9, 0.06 ) = (0.9, 0.06)

In the question value of u+v needs to be find.

Value of u + v = (5.4 + 0.9 , 0.6+ 0.06)

Value of the component form of u + v = (6.3, 0.66).

Hence, the component of u+v along the length of u and v is (6.3, 0.66).

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Answer:

1/2

Step-by-step explanation:

Probability = Favorable outcomes / Total number of outcomes

=> Purple + Blue / Total

=> 6 + 4 / 20 (Because there are 6 purple and 4 blue and 10 green)

=> 10 / 20

=> 1/2

If this helped, Please mark me as the brainliest!

Thank you!

ignore this, commented on the wrong post.

Your answer is correct.

Answer:

17.9399 square yards (hope it help)

Step-by-step explanation:

15 square meters is equivalent to 17.9399 square yards

Answer:

17.94 square yards

Step-by-step explanation:

FORMULA:

multiply the area value by 1.196

Now,

15 × 1.196 = 17.94

Answer:

C is definantly the correct one, none of the others will work :) I wish you luck on your work.

Step-by-step explanation:

<3

The box-and-whisker plot corresponds to this distribution is A.

An illustration of variation in a set of data is called a box and whisker plot. A histogram analysis usually gives an adequate display, but a box and whisker plot can add more detail while enabling the display of different sets of data on the same graph.

We have, The distribution of the gas mileage of a fleet of cars.

From the data,

Minimum value = 28

lower quartile = 29

Median= 30

Upper quartile = 31

Maximum value = 32

Here the box plot represent the above parameters in box plot A.

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Answer:

Rounded to the nearest hundredths, the volume of the cylinder is approximately 58.91 cm^3.

Step-by-step explanation:

To find the volume of a cylinder, you need to know its radius (r) and height (h). In this case, the radius is given as 5 cm and the height is 0.75 cm.

The formula for the volume of a cylinder is:

V = π * r^2 * h

where π is a mathematical constant approximately equal to 3.14159.

Let's substitute the given values into the formula:

V = π * (5 cm)^2 * 0.75 cm

V ≈ 3.14159 * (25 cm^2) * 0.75 cm

V ≈ 58.909 cm^3

9514 1404 393

Answer:

Step-by-step explanation:

The x-term has even degree so is never negative. The x-term is subtracted from 12, so the maximum value of the function will be found where x=0. That value is 12 -0 = 12.

  f(0) = 12 . . . . absolute maximum

Answer:

The function \(f(x)=12-6x^4\) has an absolute maximum value of \(12\) and this occurs at \(x $\ equals 0.\)

Step-by-step explanation:

The maximum value of this function is at 12, because if you rewrite this function:

The +12 is the k-value (the graph of this function is a parabola) of the vertex form of a quadratic. Just a reminder:

Vertex form of a parabola:

You can see the 12 is the k-value. The k-value of the vertex form is the vertical shift of the parabola, meaning that this parabola is shifted 12 units upwards.

Since the parabola opens down (you can tell by the negative a-value \(-6\)), there is a maximum value at the k-value, i.e. the vertical shift.

\(f(x)=-6x^4+12\) has an absolute maximum value of \(12\).

To find where the maximum value occurs at, the formula:

Tells us the x-value of the vertex of the parabola, whose y-value is the maximum value.

Using our rearranged equation, the a, b, and c-values are:

Plug in the a and c values into the formula to find the x-value of the maximum point:

Therefore, the absolute maximum value of 12 occurs at x = 0.

Answer:

To find x and y intercept .... y = 4, and x = -2

Step-by-step explanation:

y-2x=4

y = 4

-2x=4

-2x/-2 = 4/-2

x = -2

Is this equation for solving y and x

The value of the missing part of the triangle such as PR and ST = 8 and 5 respectively

Triangle PQS is congruent with triangle PRS

Therefore, PQ = PR

That is;

PQ = 8

PR = 2x

8 = 2x

X = 8/2 = 4

PR = 2(4) = 8

For ST;

Triangle VST = VUT

That is, TU = ST

ST = 5z

TU = 2z+3

5z = 2z+3

5z+2z = 3

z= 3/3 = 1

ST = 5(1) = 5

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Answer:

------------------------

As per given coordinates we can observe that the diagonals of the rhombus are horizontal and vertical.

The length of the diagonal is the difference of x-coordinates for the horizontal diagonal and the difference of y-coordinates for the vertical one.

The diagonals have the length:

The area of a rhombus is half the product of the diagonals, therefore the area of the given rhombus is:

The area οf the given rhοmbus is 22.5 square units. Tο find the area οf the rhοmbus, we need tο first find the length οf its diagοnals.

A rhοmbus is a type οf quadrilateral that has fοur sides οf equal length. It is alsο knοwn as a diamοnd οr a lοzenge. In additiοn tο having equal sides, a rhοmbus alsο has οppοsite angles that are cοngruent (have the same measure). It is a special case οf a parallelοgram, as its οppοsite sides are parallel.

Tο find the area οf the rhοmbus, we need tο first find the length οf its diagοnals. We can dο this using the distance fοrmula:

\(\rm d_1 = \sqrt{((4 - (-2))^2 + (-4 - (-1))^2)} = \sqrt{(6^2 + (-3)^2)} = \sqrt{(45)\)

\(\rm d_2 = \sqrt{((-8 - (-2))^2 + (-4 - (-7))^2)} = \sqrt{((-6)^2 + 3^2)} = \sqrt{(45)\)

Now that we have the lengths of the diagonals, we can use the formula for the area of a rhombus:

Area = \(\rm (d_1 \times d_2) / 2 =\dfrac{ (\sqrt{(45)} \times \sqrt{(45)}}{2}\)

= (45/2) square units

Therefore, the area of the given rhombus is 22.5 square units.

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Answer:

y = 12 x = 12\(\sqrt{3}\)

Step-by-step explanation:

This is a 60, 90, 30. It's a special triangle.

2z = 24

z = 12

If x = z\(\sqrt{3}\)

then x = 12\(\sqrt{3}\)

y = z itself

So y = 12

Answer:

(-1,0)

Step-by-step explanation:

That has the same x-value as (-1,2).

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PRESS IT AND GET IT OVER WITH.

The height will be  61.8 ft

Find the volume of prism

Volume = Base Area × Height

since height = 10 feet

5,119.5 ft³ / 10 ft

= 511.95 ft²

formula for the area of a regular polygon is:

Area = (Perimeter × Apothem) / 2

ide length of the pentagon as 's' and the apothem as 'a'

511.95 ft² = (5s × a) / 2

angle at the center of the pentagon is 360° / 5 = 72°

72 / 2 = 36  degrees

tan(36°) = (s/2) / 17.25

solve for the value of s

s = 2 × 17.25 × tan(36°)

= 12.36 ft

5 s =

5 x 12.36 ft

=  61.8 ft

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Based on the data recorded by Anna on Saturday, we can estimate the number of people expected to visit The Youth Wing on Sunday.

Let's calculate the proportion of visitors to The Youth Wing compared to the total number of visitors on Saturday:

\(\displaystyle \text{Proportion} = \frac{\text{Visitors to The Youth Wing on Saturday}}{\text{Total visitors on Saturday}} = \frac{382}{382 + 461 + 355}\)

Next, we'll apply this proportion to the total number of visitors on Sunday to estimate the number of people expected to go to The Youth Wing:

\(\displaystyle \text{Expected visitors to The Youth Wing on Sunday} = \text{Proportion} \times \text{Total visitors on Sunday}\)

Now, let's substitute the values into the equation and calculate the estimated number of visitors to The Youth Wing on Sunday:

\(\displaystyle \text{Proportion} = \frac{382}{382 + 461 + 355}\)

\(\displaystyle \text{Expected visitors to The Youth Wing on Sunday} = \text{Proportion} \times 800\)

Calculating the proportion:

\(\displaystyle \text{Proportion} = \frac{382}{382 + 461 + 355} = \frac{382}{1198}\)

Calculating the estimated number of visitors to The Youth Wing on Sunday:

\(\displaystyle \text{Expected visitors to The Youth Wing on Sunday} = \frac{382}{1198} \times 800\)

Simplifying the equation:

\(\displaystyle \text{Expected visitors to The Youth Wing on Sunday} \approx \frac{382 \times 800}{1198}\)

Now, let's calculate the approximate number of visitors to The Youth Wing on Sunday:

\(\displaystyle \text{Expected visitors to The Youth Wing on Sunday} \approx 254\)

Therefore, based on the data recorded on Saturday, we can estimate that around 254 people should be expected to go to The Youth Wing on Sunday.

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The computed mean expenses of the XYZ Corporation based on the given information are 9,911.22.

The mean refers to the average value.

The mean is computed as the quotient that results from dividing the total value of the data set by the number of items in the set.

Name                      Total Sales      Total Expenses

Quezon City            14,950.00             4,933.50

Caloocan City         18,290.00             6,035.70

Marikina City          37,200.00           12,276.00

Cebu City                18,900.00            6,237.00

Davao City             45,000.00          14,850.00

Mandaluyong City 23,000.00           7,590.00

Cavite                     22,000.00          7,260.00

Laguna                    21,000.00          6,930.00

Manila                    66,000.00         21,780.00

Iloilo                       34,000.00          11,220.00

Total                                                  99,112.20

Mean Expenses = 9,911.22 (99,112.20 ÷ 10)

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If an auto body shop repaired 22 cars and trucks and there were 8 fewer cars than trucks, 15 trucks were repaired.

Let's assume the number of trucks repaired is "x". We know that the total number of cars and trucks repaired is 22. Since there were 8 fewer cars than trucks, the number of cars repaired must be x-8. Therefore, we can set up the following equation:

x + (x-8) = 22

Simplifying, we get:

2x - 8 = 22

Adding 8 to both sides:

2x = 30

Dividing by 2:

x = 15

We can check this by plugging x back into the equation and verifying that the number of cars repaired is 7, which is 8 fewer than 15.

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Answer:

Let us set up a ratio to find the relationship between side lengths of the two triangles.

25:10

5:2

We can divide both sides by two, but there's no need as the smaller triangle has multiples of two.

So, if XZ is 6, let's place it into the ratio and find what "x" is.

5(3) : 2(3)

15 : 6

x = 15

Answer:

Are the following two logical statements equivalent?

p

∨

q

q

∨

p

Answer:

130

Step-by-step explanation:

60° + 70° = x

In an equation our aim is to find the value of what we are looking for as well as keeping the equation balanced. For example if we took away 60 only from one side then the equation would change so it's an important rule to keep in mind when solving equations, that you need to keep both sides of the equation the same.

60 + 70 = x

→ Simplify

130 = x

x = 130°

Answer:

2m + 5s = 15

I hope it helps.

have a great day.

Answer:

180 degrees

Step-by-step explanation:

FH is half the circle, so it has to be 180 degrees.

I think all that other stuff is to confuse you or use it for a different problem.

The contribution margin ratio is 37%, unit contribution margin is $12.95, whereas the operating income is $297,950

What is the contribution margin ratio?

The contribution margin ratio compares the contribution margin per unit to the selling price per unit whereby contribution margin is the selling price minus the variable cost per unit

unit contribution margin=$35-$22.05

unit contribution margin=$12.95

Contribution margin ratio=$12.95/$35

Contribution margin ratio=37%

operating income=(unit contribution margin*sales units)-fixed costs

sales units=39000

fixed costs= $207,100

operating income=($12.95*39000)-$207100

operating income=$297,950

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