Match each vertex in ABC to its corresponding vertex in the dashed triangle.

Answer:

I think the answer is 2.7

Step-by-step explanation:

3x√64

√64=8

3x=8

x=8/3

x=2.7

The function f(x) = x^3 - 12x + 9 is increasing on the intervals (-∞, -2) and (2, +∞), and it is decreasing on the interval (-2, 2).

First, let's find the derivative of f(x):

f'(x) = 3x^2 - 12

To determine where f(x) is increasing or decreasing, we need to find the critical points of f(x), which occur when f'(x) = 0 or is undefined.

Setting f'(x) = 0:

3x^2 - 12 = 0

x^2 - 4 = 0

(x - 2)(x + 2) = 0

x = 2 or x = -2

These are the critical points of f(x).

Now, we can test the intervals between these critical points and determine the behavior of f(x) within those intervals.

Considering the interval (-∞, -2), we can choose a test point, let's say x = -3, and substitute it into f'(x) to determine the sign:

f'(-3) = 3(-3)^2 - 12 = 27 - 12 = 15

Since f'(-3) > 0, f(x) is increasing in the interval (-∞, -2).

Considering the interval (-2, 2), we can choose a test point, let's say x = 0, and substitute it into f'(x) to determine the sign:

f'(0) = 3(0)^2 - 12 = -12

Since f'(0) < 0, f(x) is decreasing in the interval (-2, 2).

Considering the interval (2, +∞), we can choose a test point, let's say x = 3, and substitute it into f'(x) to determine the sign:

f'(3) = 3(3)^2 - 12 = 27 - 12 = 15

Since f'(3) > 0, f(x) is increasing in the interval (2, +∞).

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Answer:

I will try to help, let me know

Step-by-step explanation:

Answer:

He plants 8 in each row

Step-by-step explanation:

5x8=40

The volume of the solid bounded above by the parabolic cylinder is 191π/64.

Given:

the Parabolic cylinder z=1−y^2 and below the plane 3x+3y+z+10=0 and on the sides of circular cylinder x^2+y^2−x=0.

\(x^2+y^2-x=(x-\frac12)^2 +y^2-\frac14=0\)

Recenter the circle with x−1/2=u and integrate the volume over the disk

u^2+y^2 = 1/4.

\(\int_{u^2+y^2 < \frac14} [(1-y^2)-( -2x-3y-10)]\)

\(=\int_{u^2+y^2 < \frac14} (2u+3y-y^2 +12)\)

\(=\int_{u^2+y^2 < \frac14} (12-y^2)\)

\(=\int_0^{2\pi}\int_0^{1/2} (12-r^2 \sin^2\theta)rdr d\theta =\frac{191\pi}{64}\\\)

Therefore The volume of the solid bounded above by the parabolic cylinder is 191π/64.

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One change that can be made to one value in Dylan's plan to ensure the assignment is completed is to change hours worked to 4. 20 hours a day.

The current number of paper flowers that the team can make is:

= 4 x 3 hours a day x 12 people x 5 days per week x 2 weeks

= 1, 440 flowers

One change that can be made would be to increase the number of hours worked to 4. 20 hours.

This would give a total number of flowers of :

= 4 x 4. 20 hours a day x 12 people x 5 days per week x 2 weeks

= 2, 016 flowers

They would then meet the target.

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The expression that will equal a rational product even though it is multiplying two irrational numbers is "StartRoot 11 EndRoot times StartRoot 11 EndRoot."

In mathematics, the product of two irrational numbers can sometimes result in a rational number if the irrational numbers are related in a specific way. In this case, both the irrational numbers are equal to the square root of 11. When you multiply the square root of 11 by itself, you are essentially squaring the number. The square of any number, whether rational or irrational, is always a rational number. Therefore, the product of StartRoot 11 EndRoot times StartRoot 11 EndRoot is rational.

To explain this concept further, let's consider the square root of 11. It is an irrational number because it cannot be expressed as a fraction or a terminating or repeating decimal. When you multiply it by itself, you are essentially finding the square of the number. In this case, the square of StartRoot 11 EndRoot is equal to 11. The number 11 is a rational number because it can be expressed as a fraction (11/1) or a terminating decimal (11.0). Thus, the product of two irrational numbers, StartRoot 11 EndRoot times StartRoot 11 EndRoot, results in a rational number.

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Answer:

The answer is 24%.

Step-by-step explanation:

If you subtract 798 from 1050 you will get 252. Then, divide 252 by 1050. What you get from this is 0.24, which in percentage form is 24%.

The set |z - 3| <= |z| is a connected open set.

Domain - the set includes all complex numbers except for the points outside the circle centered at the origin with radius 1.

The given set is represented by the inequality |z - 3| <= |z|.

To sketch this set, let's analyze the different regions of the complex plane based on the given inequality.

Consider two cases:

Case 1: |z| > 0

In this case, we can divide the complex plane into two regions:

- For |z - 3| <= |z|, the region inside the circle centered at the origin with radius 1 is included.

- The region outside the circle is not included in the set.

Case 2: |z| = 0

Since |z| cannot be zero (except for z = 0, which is not included in this case), we can ignore this case.

Combining the results from both cases, we find that the set includes the entire complex plane except for the region outside the circle centered at the origin with radius 1.

To determine the nature of the set, we can observe the following:

- The set is connected because it includes the entire complex plane except for a single circular region.

- The set is open because it does not include the boundary of the circular region (i.e., the circle itself).

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Answer:

Step-by-step explanation:

y + 2 = 1/7(x - 7)

y + 2 = 1/7x - 1

y = 1/7x - 3

A is the answer

Answer:

N= 5, and 4

Step-by-step explanation:

I put the equation into a website calculator called math-way. com.

I told it to solve using the quadratic formula.

Answer: 72

Step-by-step explanation:

Step 1: Divide 18 and 2, which is 9

Step 2: Divide 56 and 7, which is 8

Step 3: Multiply 9x8 and get 72

Answer:

n=6

Step-by-step explanation:

Answer:

81

Step-by-step explanation:

37(3)=81

Check the picture below.

\(\textit{area of a segment of a circle}\\\\ A=\cfrac{r^2}{2}\left( ~~ \cfrac{\pi \theta }{180}-\sin(\theta ) ~~ \right) \begin{cases} r=radius\\ \theta =\stackrel{degrees}{angle}\\[-0.5em] \hrulefill\\ r=8\\ \theta =60 \end{cases} \\\\\\ A=\cfrac{8^2}{2}\left( ~~ \cfrac{\pi (60) }{180}-\sin(60^o ) ~~ \right)\implies A=32\left( ~~ \cfrac{\pi }{3}-\sin(60^o ) ~~ \right) \\\\\\ A=32\left( ~~ \cfrac{\pi }{3}-\cfrac{\sqrt{3}}{2} ~~ \right)\implies A=\cfrac{32\pi }{3}-16\sqrt{3}\implies A\approx 5.8~in^2\)

Answer:bhbehrf

Step-by-step explanation:

The numbers that cannot be probabilities are: square root of 2, -53, 5/3, and 1.31.

Probability is a measure of the likelihood of a particular event occurring in a random experiment. It is a value between 0 and 1, with 0 indicating that an event is impossible, and 1 indicating that an event is certain to occur.

In statistics, probability is used to make predictions or draw inferences about a population based on a sample of data. For example, if we were to flip a coin, the probability of getting heads is 0.5, or 50%. In general probability can be defined as the ratio of the number of favorable outcomes to the total number of possible outcomes, which is the mathematical framework behind the random experiments.

From the set of numbers, 0, 0.08, and 3/5 are all possible values of probability.

Therefore, square root of 2, -53, 5/3, and 1.31 cannot be probabilities.

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Circumference

Formula

C = 2*pi*r

Substitution

C = 2*(3.14)* (5)

Simplification

C = 31.4 m This is the Circumference

Area

Formula

A =pi*r^2

Substitution

A = 3.14*5^2

Simplification

A = 3.14*25

Result

Area = 785 m^2 This is the area

Answer:

4 * 13

Step-by-step explanation:

Okay, so we have to use the distributive property to solve this. We know 28 and 24 have a common factor of 4. If we factor a 4 out of 28 + 24, then we get 4 * (7 + 6). Adding 7 + 6, we get 13. Therefore, we get 4 * 13.

Answer:

9

Step-by-step explanation:

so we know that its a right triangle and 8 and \(\sqrt{17}\) are not the hypotenuse.

the equation for this is \(a^{2}\)+\(b^{2}\)=\(c^{2}\) with c being the hypotenuse.

\(8^{2}\)+\(\sqrt{17} ^{2}\)=\(c^{2}\)

64+17=\(c^{2}\)

81=c

\(\sqrt{81}\)=c

9=c

Answer:

Step-by-step explanation:

To make the use of Pythagoras's theorem clear

\(C^{2}\) = \(A^{2}\) + \(B^{2}\)

where C is they hypotenuse or Hyp

A is one side often called  the Adjacent side

B is the other side often called the Opposite side

when A = 8

and B = \(\sqrt{17}\)

then

\(C^{2}\)  = \(8^{2}\) + \(\sqrt{17} ^{2}\)

\(C^{2}\) = 64 + 17

\(C^{2}\) = 81

C = \(\sqrt{81}\)

C = 9

The percent of forest area will be 29.38% in the year 2510.

The function that represents the forest area as a percentage of the land area is f(x) = -0.059x + 31.03.

We want to find out the year when the percentage will be 29.38% using this function.

Let's proceed using the following steps:

Convert the percentage to a decimal29.38% = 0.2938

Substitute the decimal in the function and solve for x.

0.2938 = -0.059x + 31.03-0.059x = 0.2938 - 31.03-0.059x = -30.7362x = (-30.7362)/(-0.059)x = 520.41

Therefore, the percent of forest area will be 29.38% in the year 1990 + 520 = 2510.

The percent of forest area will be 29.38% in the year 2510.

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Answer:

B

Step-by-step explanation:

Edge 2021.

Following the order of operations, you can simplify the expressions 7-5 and -5+7 to obtain the result of 2 for both. The order of operations ensures consistent and accurate evaluation of mathematical expressions, maintaining consistency and preventing ambiguity.

Yes, you can simplify the expressions 7-5 and -5+7 using the order of operations.

The order of operations, also known as PEMDAS (Parentheses, Exponents, Multiplication and Division, Addition and Subtraction), provides a set of rules to evaluate mathematical expressions.

Let's break down the expressions step by step:

7-5: According to the order of operations, you start by performing the subtraction. Subtracting 5 from 7 gives you 2. Therefore, 7-5 simplifies to 2.

-5+7: Again, following the order of operations, you perform the addition. Adding -5 and 7 gives you 2. Therefore, -5+7 simplifies to 2 as well.

Both expressions simplify to the same result, which is 2. The order of operations allows you to evaluate expressions consistently and accurately by providing a standardized sequence of steps to follow.

It is important to note that the order of operations ensures that mathematical expressions are evaluated in a predictable manner, regardless of the order in which the operations are written. This helps maintain consistency and prevents ambiguity in mathematical calculations.

In summary, by following the order of operations, you can simplify the expressions 7-5 and -5+7 to obtain the result of 2 for both.

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Answer:

number is 8

Step-by-step explanation:

let n be the number then 4 times the number is 4n and increased by 30 means adding 30 to it , that is 4n + 30

70 decreased by the number means subtracting n fro 70 , 70 - n

then

4n + 30 = 70 - n ( add n to both sides )

5n + 30 = 70 ( subtract 30 from both sides )

5n = 40 ( divide both sides by 5 )

n = 8

The statement is True only for independent events and False otherwise. The statement "p (A ∩ B) = p(A). p(B)" is not always true for any two events A and B defined on a sample space S of an experiment.

This equation only holds true if A and B are independent events, meaning that the occurrence of one event does not affect the probability of the other event happening. In other words, p(A|B) = p(A) and p(B|A) = p(B).

If A and B are dependent events, meaning that the occurrence of one event affects the probability of the other event happening, then the equation does not hold true. In this case, the probability of A and B occurring together (p(A ∩ B)) would be less than the product of the probabilities of A and B occurring separately (p(A).p(B)).

Therefore, the statement is not always true and depends on whether A and B are independent or dependent events.

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Answer:

Buy Two tshirts and a pair of pants....

Step-by-step explanation:

Total purchase -

$9.85 + $56.00 = $65.85

Shipping charges is 20%  -

65.85 * 0.2 = 13.17

Total (including shipping) = $79.02

If you purchace two t shirts and a pair of pants then you dont have to pay for the shipping therefore,

Total purchase will be -

$9.85 + $56.00 + $9.85 = $75.70

Puchasing 2 tshirts will be $3.32 cheaper....

Answer:

You should buy a second t-shirt.

Step-by-step explanation:

The total without shipping comes out to $65.85. Add the 20% shipping by multiplying .20 by the total, $65.85, and you get $65.85 plus $13.17, the total being $79.02. Now, if you added another shirt for $9.85, your total comes out to $75.70, which barely qualifies for free shipping. In other words, yes, you should purchase a second shirt because you would actually save money, almost $4.

Answer: 1 is 2 rectangles, 4 in a triangle and a rhombus I think.

Step-by-step explanation:

It says what would the shapes be shown as if it was split on the line.

Answer:

7th

Step-by-step explanation:

63 - 58 = 5

68-63 = 5

She is adding 5 points each time

a1 = 58

d = 5

a2 = 63

a3 = 68

a4 = 58+5 = 73

a5 = 73+5 = 78

a6 = 78+5 = 83

a7 = 83+5 = 88

This is the first assessment greater then 85, so the 7th assessment

Answer:

1/4

Step-by-step explanation:

Answer:

90

Step-by-step explanation:

Of means multiply

150% * 60

Change the percent to decimal form

1.50 * 60

90

Answer:

\(\Huge{\underline{\boxed{\huge\color{red}\bf \: 90}}}\)

Step-by-step explanation:

\( \underline{ \bf \: Given \: Arithmetic \: expression:}\)

\( \sf \: 150 \% \: of \: 60\)

\( \underline{\bf \: Solution:-}\)

Percent is a ratio whose second term is 100.

In words , 150% will be represented as 150 out of 100.

\( \sf \longmapsto150 \% \: of \: 60\)

Remove the percentage sign and divide 150 by 100:-

\( \sf \longmapsto \dfrac{150}{100} \: of \: 60\)

We know that of in percentage means Multiplication.So remove of(Multiplication)in this arithmetic expression and insert "×" :

\( \sf \longmapsto \cfrac{150}{100} \times 60\)

Use cancellation method and cancel a 0 of 100 and a 0 of 150, which is:

\( \sf \longmapsto \dfrac{15 \cancel0}{10 \cancel0} \times 60\)

Results to:

\( \sf \longmapsto \cfrac{15}{10} \times 60\)

Now cancel another 0 of 10 and a 0 of 60:

\( \sf \longmapsto \: \cfrac{15}{ 1\cancel0} \times 6 \cancel0\)

Results to:

\( \sf \longmapsto \: \cfrac{15}{1} \times 6\)

As 1 is in the denominator , so here 1 has no value.

\( \sf \longmapsto15 \times 6\)

Simply multiply:-

\( \sf \longmapsto90\)

So, the answer of the given arithmetic expression is 90.

\( \rule{175pt}{2pt}\)

I hope this helps!

Please let me know if you have any questions.