27. If Q is the midpoint of PR, find the coordinates of R if
P (3,-5) and Q (-1,2)?

Answer:

The answer would be 536 cones.

Step-by-step explanation:

You have to subtract 164 from 700.

700-164=536.

Given

parallelogram LNMO

Find

Measure of angle M

Explanation

as we know , in parallelogram , opposite angles are equal and consecutive angles are supplementary

so ,

angle L = angle N

therefore ,

3x + 40 = 5x

2x = 40

x = 20

so ,

angle N = 5x = 100 degree

we know , the consecutive angles are supplementary.

hence , angle N + angle M = 180 degree

so , angle M = 180 - 100 = 80 degree

Final Answer

Hence , the measure of angle M is 80 degree.

The area of the given figure is 39 square inches.

To find the area of the given figure, we can break it down into separate rectangles and then add up their areas.

The figure consists of two rectangles:

The larger rectangle with dimensions 7 in by 5 in:

Area = length × width = 7 in × 5 in = 35 in²

The smaller rectangle with dimensions 2 in by 2 in:

Area = length × width = 2 in × 2 in = 4 in²

Now, we can add the areas of these two rectangles to find the total area of the figure:

Total Area = Area of the larger rectangle + Area of the smaller rectangle

= 35 in² + 4 in²

= 39 in²

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Answer: 0.4714

Step-by-step explanation: square root of 8 is 2.8284 divided by 6 = 0.4714.

\( \frac{6}{ \sqrt{8x} } \\ \frac{ {6}^{2} }{ {( \sqrt{8x)} }^{2} } \\ \\ \frac{36}{8x} \\ \ \\ \frac{36 \div 4}{8x \div 4} \\ \\ \frac{9}{2x} \)

this is one of the ways to simplify it

you can divide 9 by 2 the answer will be 4.5x

Answer:

The maximum profit the florist will earn from selling celebration bouquets is $725.

The florist will break-even after one-dollar decreases when her profit is zero. From the graph, this occurs at x = 10. So the florist will break-even after 10 one-dollar decreases.

The interval of the number of one-dollar decreases for which the florist makes a profit from celebration bouquets is (0, 10). This is because the profit is positive for values of x between 0 and 10, and becomes negative after 10.

Step-by-step explanation:

\(Area=\frac{(a + b)}{2} \cdot h\\144 = \frac{(12 + 8)}{2} \cdot h\\144 = \frac{20}{2} \cdot h\\144 = 10h\\h = \frac{144}{10} = \frac{72}{5}\)

The statement that teddy made is incorrect as the expression x² - 49 can be factored using the difference of squares pattern.

The numbers that can divide a number precisely are called factors. There is therefore no residue after division. The numbers you multiply together to obtain another number are called factors. A factor is therefore another number's multiplier.

Teddy's statement is incorrect.

The correct statement would be -

Since x² - 49 is a difference of squares, it can be factored as (x + 7)(x - 7).

Teddy's error is assuming that the factoring should involve a perfect square trinomial pattern, which is not applicable to this particular expression.

Instead, the expression can be factored using the difference of squares pattern.

The difference of squares pattern is a² - b² = (a + b)(a - b).

In this case, a = x and b = 7, so the factored form is (x + 7)(x - 7).

Therefore, Teddy's statement is wrong.

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Step 1

State the formula for the volume of a cube

where;

Step 2

Find the volume in cubic feet

Answer;

Answer:

The area is 92 square yards.

Step-by-step explanation:

We can decompose this figure into a rectangle and a triangle.

First, we can find the area of the rectangle.

A(rect) = length × width

A(rect) = 10 × 8

A(rect) = 80 yd²

Next, we can find the area of the triangle.

A(triangle) = (1/2) × base × height

\(A(\text{triangle}) = \dfrac{1}{2} \, (13 - 10) \times 8\)

\(A(\text{triangle}) = \dfrac{3}{2} \times 8\)

\(A(\text{triangle}) = 12 \text{ yd}^2\)

Finally, we can add the two shapes' areas to get the area of the entire figure.

A = A(rect) + A(triangle)

A = 80 yd² + 12 yd²

A = 92 yd²

Answer: 92 yd²

Step-by-step explanation:

Decomposition means to break the shape into parts, but it's not necessary to break apart.

This is a trapezoid turned sideways A=1/2(b1+b1)h

b1=10

b2=13

h=8

A=1/2(10+13)8 =92 yd²

if you decompose, you can make the top a triangle and bottom a rectangle.

A(triangle) = 1/2(b)(h)     b=3   h=8

                 1/2(b)(h)

                 = 12

A(rectangle)=bh     b=10     h=8

                  =10*8

                   =80

Add the 2 and you get 92 again

Answer:

  4 minutes

Step-by-step explanation:

You want to know how long it takes to drain a cylindrical tank 1.8 ft in diameter and 3 ft long at the rate of 1.7 ft³/minute. (π = 3.14)

The volume of a cylinder can be found using the formula ...

  V = (π/4)d²h . . . . . . . diameter d, height h

Then the volume of the oil tank is ...

  V = 3.14/4(1.8 ft)²(3 fft) = 7.6302 ft³

The time it takes to empty the tank is found by dividing the volume by the rate:

  (7.6302 ft³)/(1.7 ft³/min) ≈ 4.49 min ≈ 4 min

It will take about 4 minutes to empty the tank.

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Answer:

18

Step-by-step explanation:

mack has 18cats because she has 2×9 cats as Wayne 2×9 is 18

Answer:

18

Step-by-step explanation:

\(\sf Twice = *2\\9 * 2 = 18\)

it is true

tbh am not sure

Answer:

The answer is negative 24.

Step-by-step explanation:

(−4)(2)+(8)(−3)+12−(8)(2)+(−2)(−3)+6

=−24

I hope this helps you with your question

Answer: the fraction is 4over 12

Step-by-step explanation:

first you multiply the top and bottom number then u divide the number by the bottom.

Answer:

1/2

Step-by-step explanation:

If you were to multiply 1/2 by -50 you would get -25, which is greater than -50.

The same goes for 1/5, if you were to multiply 1/5 by -50, you would get -10.

Another example is 1/10 times -50, that would be -5.

Step-by-step explanation:

Use formula

\( (\frac{b}{2} ) {}^{2} \)

To add a third new term and factor to find the answer. Example

\(x {}^{2} + 6x = 18\)

\(( \frac{6}{2} ) {}^{2} \)

Which equal 9. so our equation look like

\( {x}^{2} + 6x + 9 = 18 + 9\)

The only number that multiply to 9 and add up to 6 is 3. So we write our equation like this.

\((x + 3) {}^{2} = 27\)

Take the sqr root of both sides

\(x + 3 = \sqrt{27} \)

Subtract 3 from both sides

\(x = \sqrt{27} - 3\)

Since a sqr root of a number can be positive or negative, the answer is

\( \sqrt{27} - 3\)

or

\( - ( \sqrt{27} ) - 3\)

Answer:

-26

Step-by-step explanation:

-62 - 4x = 42

-4x=42+62

-4x=104

X=-104/4

X=-26

So the value of the X is -26

Answer:

X=12 on edg

Step-by-step explanation:

Answer:

I can confirm, the answer is 12.

The given values into the equation AE = 2a + 10. Therefore, The value of AE is 3 - x.

To find the value of AE, we can substitute the given values into the equation AE = 2a + 10.

Given:

AB = 10

AE = 2a + 10

ED = x + 3

CD = 4

Since AB is a segment on the line, it can be divided into AE and ED. Therefore, AB = AE + ED.

We know that AB = 10 and CD = 4. So, if we subtract CD from AB, we get AE + ED = 10 - 4.

AE + ED = 6.

Now, we can substitute the value of ED, which is x + 3, into the equation: AE + x + 3 = 6.

To find the value of AE, we need to isolate it on one side of the equation. Let's subtract x and 3 from both sides:

AE = 6 - x - 3.

Simplifying further, we get;

AE = 3 - x.

Therefore, the value of AE is 3 - x.

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Answer:

\(y=5x^2-80x+324\)

Step-by-step explanation:

For Serenity's lemonade recipe, the lemons being used per cup of lemonade is 0.8

Ratio is a comparison of two quantities that are expressed in relation to each other. Ratios are typically expressed in the form of a fraction, with the numerator representing one quantity and the denominator representing the other quantity.

To find the rate at which lemons are being used in lemons per cup of lemonade, we need to calculate the ratio of lemons used to cups of lemonade.

According to the recipe, 4 lemons are required to make 5 cups of lemonade. So the rate of lemons used is:

4 lemons / 5 cups = 0.8 lemons per cup of lemonade

This means that for every cup of lemonade, 0.8 lemons are used.

Alternatively, we can also express this rate as a fraction, which gives us:

0.8 lemons / 1 cup of lemonade

Either way, the rate of lemons used is 0.8 lemons per cup of lemonade.

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Answer:

974

Step-by-step explanation:

Initial × Increase percentage ^ Time

500 × (1 + 10%)^(70/10)

500 × 1.1^7

= 974.36

The population of the town in 70 years will be 974.

Answer:

\(\rm{12}\)

Step-by-step explanation:

Hi there!

This is a one-step equation, meaning that we can solve it in one step.

This is the step:

Divide both sides by 6 in order to isolate y:

6y=72

y=12

Thus, 12 is our final answer.

Hope it helps! Enjoy your day!

\(\bold{GazingAtTheStars}\)

Answer:

\( \red\mapsto \red{6y = 72}\)

\( \red \mapsto \red{y = \frac{72}{6} }\)

\( \red \mapsto \red{y = 12}\)

Answer:

The proportion results to

Explanation:

Given the proportion:

To solve for p, we multiply (p - 7)(p + 10)

This becomes:

Remove the brackets

Subtract 8p from both sides

Subtract 90 from both sides

Answer:

$105

Step-by-step explanation:

5.5+8.5=14

14 * 7.5=105

(A) (m,n) = g(n,m) for all positive integers m,n,

(B) (m,n + 1) = g(m + 1,n) for all positive integers m,n,

(D) (2m,2n) = (g(m,n))2 for all positive integers m,n

\( \rm f(m,n,p) = \sum \limits_{i = 0}^{p} {}^{m} C_{i} \: \: {}^{n + i} C_{p} \: \: {}^{p + n} C_{p - i}\)

\(\rm {}^{m} C_{i} \: \: {}^{n + i} C_{p} \: \: {}^{p + n} C_{p - i}\)

\(\rm {}^{m} C_{i} \dfrac{(n + i)!}{p!(n - p + i)!} \times \dfrac{(n + p)!}{(p - i)!(n + i)!} \)

\(\rm {}^{m} C_{i} \times \dfrac{(n + p)!}{p!} \times \dfrac{1!}{(n -p + i)!(p - i)!} \)

\(\rm {}^{m} C_{i} \times \dfrac{(n + p)!}{p!} \times \dfrac{1!}{(n -p + i)!(p - i)!} \)

\(\rm {}^{m} C_{i} \times \dfrac{(n + p)!}{p!n!} \times \dfrac{n!}{(n -p + i)!(p - i)!} \)

\(\rm {}^{m} C_{i} \: \: {}^{n + p} C_{p} \: \: {}^{n} C_{p - i} \: \: \{{}^{m} C_{i} \: \: {}^{n } C_{p - i} = {}^{m + n} C_{p } \}\)

\(\rm {}^{m} C_{i} \: \: {}^{n + p} C_{p} \: \: {}^{n} C_{p - i} \: \: \{{}^{m} C_{i} \: \: {}^{n } C_{p - i} = {}^{m + n} C_{p } \}\)

\( \rm f(m,n,p) = {}^{n + p} C_{p}{}^{m + n} C_{p}\)

\( \rm \dfrac{f(m,n,p)}{{}^{n + p} C_{p}} = {}^{m + n} C_{p}\)

Now,

\( \rm g(m,n) = \sum \limits_{p = 0}^{m + n} \dfrac{f(m,n,p)}{{}^{n + p} C_{p}} \)

\( \rm g(m,n) = \sum \limits_{p = 0}^{m + n} {}^{m + n} C_{p}\)

\( \rm g (m,n) = {2}^{m + n} \)

\( \rm(A) \: g(m,n) = q(n,m)\)

\( \rm(B) \: g(m,n + 1) = {2}^{m + n + 1} \)

\( \rm g(m + n,n ) = {2}^{m + 1 + n} \)

\( \rm(D) \: g(2m,2n) = {2}^{2m + 2n} \)

\( = \rm( {2}^{m + n} {)}^{2} \)

\( = \rm(g(m,n)) {}^{2} \)

The expression that is equivalent to StartRoot \(8 x^7 y^8\) EndRoot is (\(2 x^3 y^4\) StartRoot 2 x EndRoot)^2.

To understand why this is the case, let's break down each expression and simplify them step by step:

StartRoot \(8 x^7 y^8\) EndRoot:

We can rewrite 8 as \(2^3\), and since the square root can be split over multiplication, we have StartRoot \((2^3) x^7 y^8\) EndRoot. Applying the exponent rule for square roots, we get StartRoot \(2^3\) EndRoot StartRoot \(x^7\) EndRoot StartRoot \(y^8\) EndRoot.

Simplifying further, we have 2 StartRoot \(2 x^3 y^4\) EndRoot StartRoot \(2^2\) EndRoot StartRoot \(x^2\) EndRoot StartRoot \(y^4\) EndRoot. Finally, we obtain 2 \(x^3 y^4\) StartRoot 2 x EndRoot, which is the expression in question.

(\(2 x y^2\) StartRoot 8 x^3 EndRoot)^2:

Expanding the expression inside the parentheses, we have \(2 x y^2\)StartRoot \((2^3) x^3\) EndRoot. Applying the exponent rule for square roots, we get \(2 x y^2\) StartRoot \(2^3\) EndRoot StartRoot \(x^3\) EndRoot.

Simplifying further, we have \(2 x y^2\) StartRoot 2 x EndRoot. Squaring the entire expression, we obtain (\(2 x y^2\) StartRoot 2 x EndRoot)^2.

Therefore, the expression (\(2 x^3 y^4\) StartRoot 2 x EndRoot)^2 is equivalent to StartRoot \(8 x^7 y^8\) EndRoot.

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Answer:

To find the probability that both events will occur at the same time, you need to use the formula for the probability of the intersection of two events. In this case, the probability that it will rain between noon and 1pm AND that the dog walker will come at that time is:

P(Rain AND Dog Walker) = P(Rain) * P(Dog Walker | Rain)

The probability that it will rain is 20%, or 1/5. The probability that the dog walker will come at that time given that it is raining is 60%, or 3/5. Plugging these values into the formula above, we get:

P(Rain AND Dog Walker) = (1/5) * (3/5) = 3/25 = 12%

So the probability that the dog walker will be walking in the rain with the dogs is 12%.

To practice solving problems like this, you can try solving similar problems where you are given different probabilities for the two events. This will help you become more comfortable with using the formula for the probability of the intersection of two events.

Step-by-step explanation:

Answer:

  x = -1

  x = 0

Step-by-step explanation:

The solution to f(x) = g(x) is the value of x on the rows of the table where the value of f(x) is the same as the value of g(x). If we read your table correctly, you have ...

  f(-1) = -1/2 = g(-1)

and

  f(0) = 0 = g(0)

That is, f(x) = g(x) for ...

  x = -1

  x = 0

Answer:

the equation is (2x^9y^n)(4x^2y^10)=8x^11y^20

Step-by-step explanation:

,