y=2/3x-2 substitute x to solve for y

The volume of the solid is 4,503.22 in³.

What is volume?

A volume is simply defined as the amount of space occupied by any three-dimensional solid. These solids can be a cube, a cuboid, a cone, a cylinder, or a sphere. Different shapes have different volumes

The volume of a solid with a hollow cylinder can be calculated by subtracting the volume of the inner cylinder from the volume of the outer cylinder.

Assuming the dimensions in the figure are in inches, the outer cylinder has a height of 17 inches and a radius of 9 inches, so its volume is:

\(V_{outer} = \pi * r^2 * h\)

= π × 9² × 17 ≈ 4,842.51 in³

The inner cylinder has a height of 12 inches and a radius of 3 inches, so its volume is:

\(V_{inner} = \pi * r^2 * h\) = π × 3² × 12 ≈ 339.29 in³

To find the volume of the solid, we need to subtract the volume of the inner cylinder from the volume of the outer cylinder:

\(V_{solid }= V_{outer} - V_{inner}\)

≈ 4,842.51 - 339.29 ≈ 4,503.22 in³

Hence, the volume of the solid is 4,503.22 in³.

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Answer:

4

Step-by-step explanation:

the answer is -9/5 100%

Step-by-step explanation:

Answer: hmmm i think u should multiply

Step-by-step explanation:

Answer:

gfbngfjhbfgnbfhbnng

Step-by-step explanation:

Answer:

Psy talented it to cartwheels

Step-by-step explanation:

The LP problem is to maximize the objective function 10x+15y subject to the constraints 2x+5y ≤ 40 and 6x+3y ≤ 48. By graphing the constraints and identifying the feasible region, we can determine the optimal solution.

To find the optimal solution for the LP problem, we first graph the constraints 2x+5y ≤ 40 and 6x+3y ≤ 48. These constraints represent the inequalities that the variables x and y must satisfy. We plot the lines 2x+5y = 40 and 6x+3y = 48 on a graph and shade the region that satisfies both constraints.

The feasible region is the area where the shaded regions of both inequalities overlap. We then identify the corner points of the feasible region, which represent the extreme points where the objective function can be maximized.

Next, we evaluate the objective function 10x+15y at each corner point of the feasible region. The point that gives the highest value for the objective function is the optimal solution.

By solving the LP problem graphically, we can determine the corner point that maximizes the objective function. The optimal solution will have specific values for x and y that satisfy the constraints and maximize the objective function 10x+15y.

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Answer: 45 (depends on what the rightmost angle is)

Step-by-step explanation:

All angles of a triangle add up to 180 degrees.

Two angle measures are provided, 100 and 35 (?)

Add up the two to get 135, and subtract from 180

180 - 135 = 45 degrees.

I might be seeing the rightmost angle measure wrong but I think it's 35, if it's not you can still apply the same strategy, just add the two given angles and subtract that from 180 to find x.

Answer:

A.

Step-by-step explanation:

The mean of a set of numbers, sometimes simply called the average , is the sum of the data divided by the total number of data.

To find the area to the right of the given z-score in a standard normal distribution, we can use a z-table or calculator. Here are the solutions to each part of the question:

A. The area to the right of z=6.00 is:

Since the z-score is 6.00, which is far from the mean in a standard normal distribution (N(0,1)), the area to the right of z=6.00 is extremely small and close to 0. You can use a z-table or calculator to find the exact value, but it's essentially 0.

B. The area to the right of z=12.00 is:

Similar to part A, a z-score of 12.00 is even farther from the mean, making the area to the right of z=12.00 even smaller. It is essentially 0.

C. The area to the right of z=30.00 is:

Again, a z-score of 30.00 is far from the mean, and the area to the right of z=30.00 is extremely small, essentially 0.

E. Which is equal to the area in part​ b: the area below​ (to the left​ of) z=−12.00 or the area above​ (to the right​ of) z=−12.00

Since the area to the right of z=12.00 in part B is essentially 0, the area equal to it would be the area above (to the right of) z=-12.00. This is because a z-score of -12.00 is far from the mean on the left side of the standard normal distribution curve, making the area to its right close to 1.

The area above z=-12.00 is equal to the area in part B.

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The required values of x and y that allows these two triangles to be similar are x=(32±√239)/5, y=(19±2√239)/5.

Let the first triangle be called ABC where A(-1, 4), B(-3, 5) and C(-6, 1).

Let the second triangle be called LMN where L(-2, 8), M(-6, 10) and N(x, y)

Now if the 2 triangles are similar then the ratio of the lengths of corresponding sides will also be equal.

AB: BC= \(\sqrt{(-1+3)^{2}+(4-5)^{2} }\):\(\sqrt{(-1+6)^{2}+(5-1)^{2} }\) = √5:√41

AC: BC= \(\sqrt{(-1+6)^{2}+(4-1)^{2} }\): \(\sqrt{(-1+6)^{2}+(5-1)^{2} }\)=√34:√41

Now,

LM: MN= \(\sqrt{(-2+6)^{2}+(8-10)^{2} }\):\(\sqrt{(x+6)^{2}+(y-10)^{2} }\)

=2√5:\(\sqrt{(x+6)^{2}+(y-10)^{2} }\)

Comparing LM: MN to AB: BC we get \(\sqrt{(x+6)^{2}+(y-10)^{2} }\)=2√41

∴ \((x+6)^{2}+(y-10)^{2}\) = 164...... (1)

Again, LN: MN= \(\sqrt{(x+2)^{2}+(y-8)^{2} }\) : \(\sqrt{(x+6)^{2}+(y-10)^{2} }\)= AC: BC= √34:√41

Applying (1) to this rati we get: \(\sqrt{(x+2)^{2}+(y-8)^{2} }\)=2√34....(2)

Solving (1) and (2) we get: 8x-4y=32-68=-36

∴ 2x-y=9

Substituting y=2x-9 in (1) we get: \((x+6)^{2}+(2x-9)^{2}\)=164

Solving we get x=(32±√239)/5, y=(19±2√239)/5

Hence we get the required answers.

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Answer: A slash in between the numbers you put

Step-by-step explanation:

Answer:

118.7 inches squared.

Step-by-step explanation:

The area is the total space taken up by a flat (2-D) surface or shape. The area is always measured in square units.

Diameter is the length across the entire circle, the line splitting the circle into two identical semicircles.

The expression for solving the area of a circle is A = π × \(r^{2}\).

To solve for the semicircle above, we can divide the diameter into 2 to get the radius.

So, the radius of the upper semicircle is 6 inches.

If the radius of a circle is 6 inches, then you can substitute r for 6 into the formula.

This simplifies to A = 36π. If a semicircle if half the size of a normal circle, then it will be A = 18π, because 36 ÷ 2 = 18.

To solve for the lower semicircle, we can do the same this as we did above.

But wait, we don't know the radius or diameter!

No worries! To solve for the diameter of the circle, we can take the line that is parallel to the semicircle (the one that has a length of 12in) and subtract 6 from it. We subtract 6 from it because the semicircle takes up the remaining length of the line, not including the 6in.

To solve for the lower semicircle, we can divide the diameter by 2 to get the radius.

So, the radius of the circle is 3.

Now we can insert 3 into the expression.

This simplifies to A = 9π. If a semicircle if half the size of a normal circle, then it will be A = 4.5π because like above, 9 ÷ 2 = 4.5.

Adding the two semicircles together:

So, the area of both semicircles is approximately 70.6858 square inches.

To solve for the area of a rectangle we use the expression:

Inserting the dimensions of the rectangle:

So, the area of the rectangle is 48 square inches.

Adding the two areas together:

Therefore, the area of the entire figure, rounded to the nearest tenth is \(118.7\) \(in^{2}\).

Answer:

Number of story books bought = 100

C.P. of each book = Rs. 135

C.P. of all 100 books = Rs. (135×100)= Rs. 13500

C.P. of 90 books = Rs. (135×90)= Rs. 12150

Number of books donated = 10

Number of books sold = 100-10=90

Loss% in the transaction = 2%

S.P. of all books = (C.P./100)(100-loss%)

                         =Rs. (12150/100×98)

Thus, S.P. of each book

= Rs. {(12150/100×98)÷90}

= Rs. (12150/100×98/90)

= Rs. 132.3

Step-by-step explanation:

nos of books=100

cp=13500 total

donation=10

remaining books=90

sp=cp-Loss%of cp

sp=13500-2×135

sp=13500-270

sp=13230Rs

Is the total sp of 90 books

each book is sold at 13230/90Rs (use calculator to get result

Answer:

1. No vertical compression or stretching but will open up downward.

2. 1/4 vertical stretch

3. 4 vertical compression

Step-by-step explanation:

Any time your dealing with vertical stretching or compression it will always be the number before the parentheses.

So in 1. it is - or basically -1 which means the parabola will be open up downward. And in this problem there is no stretching or compression

2. Is the 1/4 is a vertical stretch

3. 4 is a vertical compression.

Or what also could help is when the number before the parentheses is bigger such as number 4 the closer together the parabola will be. And the smaller the number like 1/4 the wider the parabola will be.

The linear function graphed is defined as follows:

y = -2x + 5.

The slope-intercept representation of a linear function is given by the equation presented as follows:

y = mx + b

The coefficients of the function and their meaning are described as follows:

The graph crosses the y-axis at y = 5, hence the intercept b is given as follows:

b = 5.

When x increases by 1, y decays by 2, hence the slope m is given as follows:

m = -2.

Thus the equation of the line is given as follows:

y = -2x + 5.

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Answer:

Water gives in affect like this to a pencil in water as well. Refraction makes the object seem distorted or further away than you would expect.

Step-by-step explanation:

After considering the given data we conclude that the correct answer which is the correct option is b which is 3/28, regarding the conditional probability.

We are given that an urn contains 3 green balls and 5 red balls. Let Rᵢ be the event that the i-th ball without replacement is red. We need to find \(P(R_3| R_2 \cap R_1).\)
Using the conditional probability formula, we have:
\(P(R_3| R_2\cap R_1) = P(R_3 \cap R_2 \cap R_1) / P(R_2 \cap R_1)\)
Since we are drawing balls without replacement, the probability of drawing a red ball on the first draw is 5/8. The probability of drawing a red ball on the second draw given that the first ball was red is 4/7. Similarly, the probability of drawing a red ball on the third draw given that the first two balls were red is 3/6 = 1/2. Therefore, we have:
\(P(R_3 \cap R_2 \cap R_1) = (5/8) * (4/7) * (1/2) = 5/56\)
To find P(R₂ ∩ R₁), we can use the law of total probability:
\(P(R_2 \cap R_1) = P(R_2 \cap R_1 | R_1) * P(R_1) + P(R_2 \cap R_1 | R_1') * P(R_1')\)
where R₁' is the complement of R₁ (i.e., the event that the first ball drawn is not red). Since we are drawing balls without replacement, the probability of drawing a red ball on the second draw given that the first ball was not red is 5/7. Therefore, we have:
\(P(R_2 \cap R_1) = (5/8) * (5/7) + (3/8) * (3/7) = 29/56\)
Substituting these values into the conditional probability formula, we get:
\(P(R_3| R_2 \cap R_1) = (5/56) / (29/56) = 5/29\)
Therefore, the answer is (b) 3/28.
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The complete question is
An urn contains 3 green balls and 5 red balls. Let R, be the event the i-th ball without replacement is red. Find P(R3| R2 \cap R₁).
a) 1/56
b) 3/28
c) 1/2
d) 5/8

Answer:

\( \boxed{ \bold{ \huge{ \boxed{ \sf{25 {x}^{4} - 4}}}}}\)

Step-by-step explanation:

\( \sf{(5 {x}^{2} - 2)(5 {x}^{2} + 2)}\)

Use the distributive property to multiply each term of the first binomial by each term of the second binomial.

\( \dashrightarrow{ \sf{5 {x}^{2} (5 {x}^{2} + 2) - 2(5 {x}^{2} + 2)}}\)

\( \dashrightarrow{ \sf{25 {x}^{4} + 10 {x}^{2} - 10 {x}^{2} - 4}}\)

Since two opposites add up to zero , remove them from the expression

\( \dashrightarrow{ \sf{25 {x}^{4} - 4}}\)

Hope I helped!

Best regards! :D

Answer:

QT=4x+1, SV = 9x-4

Step-by-step explanation:

For QT:

1) segments RT and RV have the same length

2) segments QT and QV both start at point Q and end at opposite ends of segment TV which is perpendicular to segment QS

so the length of QV is equal to the length of QS

For SV:

1) segments RT and RV have the same length

2) segments ST and SV both start at point S and end at opposite ends of segment TV which is perpendicular to segment QS

so the length of SV is equal to the length of ST

Step-by-step explanation:

it is a symmetric figure, because TR = RV, and TV and QS are perpendicular (90 degree angle).

therefore, all the triangles mirrored at SQ are similar triangles with scaling factor 1.

so, the missing sides are :

QT = QV = 4x + 1

SV = ST = 9x - 4

Answer:

Its right infront of you.....

1/5

Step-by-step explanation:

Answer:

$25 per dog

Step-by-step explanation:

$300/12 dogs=price per dog

Answer:

25

Step-by-step explanation:

Answer:

42

Step-by-step explanation:

4 x 14= 56

3 x 13 = 42

56:42

PLZZZ GIVE ME BRAINLIEST!!!!

Answer:

42

Step-by-step explanation:

Well 4x is equal to 56 minute becasue it says in the ratio that it take 4x time to dry.

56=4x

when you simpifly this:

14=x

and know we have to find how much time it needs to was and in the problem it said 3x so we multiply the value of x by 3:

42=3x

Arrays allow the programmer to store and access a large number of items in a single, contiguous block of memory.

This makes it easier to access individual items, as well as compare and manipulate groups of items. Furthermore, the use of arrays allows for the efficient use of memory, as each item only needs to be stored once.

1. An array is a collection of data stored in a single, contiguous block of memory.

2. This type of data structure allows for the efficient storage and manipulation of large numbers of items.

3. The items can be indexed, allowing for easy access to individual items, or entire groups of items.

4. Arrays can be manipulated in a number of ways, such as sorting, searching, and calculating various statistics.

5. Arrays are often used to store collections of related data, such as student grades, or a list of products.

6. By using arrays, the programmer can efficiently store and access large numbers of items, while using minimal memory resources.

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Answer:

Question not properly explained

Step-by-step explanation:

Break it up into two trapezoids as shown

area = trap1 + trap2

      = 2 *   (7+3) / 2   + 3 *  ( 7 + 3) / 2 = 10 + 15 = 25 units^2

The type of sampling being used in this scenario is systematic sampling.

Systematic sampling refers to the process of selecting a sample from a population with a specified pattern or system. In this type of sampling, a pattern is determined beforehand, and then data are collected by choosing every n^th individual.

Systematic sampling is useful for large sample sizes since it simplifies the process of data collection. It also ensures that the sample is representative of the entire population, making the results more accurate. This type of sampling is widely used in various fields like research, surveying, and public opinion polling to ensure that the sample is random and unbiased.

In this case, the ushers place a survey card on every sixth seat, which is an example of systematic sampling. Therefore, systematic sampling is the type of sampling being used in this question.

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The government distributes $15,000,000 via a subsidy program. As a result of this government action, the total increase in spending would be approximately $45,000,000. If each person or agency spends 60% of what they receive, and then another 60% of this amount is spent, and so on.

The sum of all of these spends will be the total increase in spending. Let a1=9,000,000, which is the first term of a geometric sequence. The common ratio (r) for the sequence will be the amount that is spent (60%) as a fraction or decimal. In this case, 60% is equal to 0.6. As a result, the common ratio would be r=0.6.  The equation for the sum of the geometric sequence would be given as:Total increase in spending =

a1 + a1r + a1r² + a1r³ + ....+ a1rn-1

This can be rewritten as:Total increase in spending =

a1 (1- r^n) / (1 - r)

Using the values provided, we can substitute into the equation as follows:Total increase in spending =

9,000,000 (1-0.6^5) / (1-0.6)

Total increase in spending =

9,000,000 x (1-0.07776) / 0.4

Total increase in spending =

9,000,000 x 0.92224 / 0.4

Total increase in spending = $20,550,000. This is the total spending that results from the government action.However, the question asks for the total increase in spending, which is the amount that was spent beyond the $15,000,000 distributed by the government. As a result, we can subtract the initial amount distributed by the government from the total spending to obtain the total increase in spending.Total increase in spending = $20,550,000 - $15,000,000Total increase in spending = $5,550,000Therefore, the total increase in spending that results from the government action will be approximately $5,550,000.

The government distributes $15,000,000 via a subsidy program. As a result of this government action, the total increase in spending would be approximately $45,000,000. If each person or agency spends 60% of what they receive, and then another 60% of this amount is spent, and so on. The sum of all of these spends will be the total increase in spending.

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Answer:

d. A five-hour bus trip is divided into six equal legs.

Step-by-step explanation:

hope it helps

Answer:

Step-by-step explanation:

A - You'd divide the 6 pizzas by 5 friends. 6/5.

B - You're dividing the 6 oats by 5 horses. 6/5.

C - You're dividing the 6-ft string by 5 pieces. 6/5.

D is the only one dividing a whole of 5 into 6 parts.

The probability of choosing an odd prime number from 1 to 20 is 0.35

The probability is the ratio of the number of favorable outcomes to the total number of outcomes

The odd prime numbers between 1 and 20 are 3, 5, 7, 11, 13, 17, and 19. There are 7 odd prime numbers in this range.

The total number of possible choices is 20 (since there are 20 numbers in the range 1 to 20).

Therefore, the probability of choosing an odd prime number is:

number of odd prime numbers / total number of possible choices

= 7 / 20

= 0.35

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