50 Points! Multiple choice geometry question. Photo attached. Thank you!

Answer:

  x = 2

Step-by-step explanation:

You want the value of x that satisfies x|x| = 4.

The absolute value function splits the domain of the equation into two parts.

For x < 0, the equation is ...

  x(-x) = 4

  x² = -4

There are no real solutions in this domain.

For x ≥ 0, the equation is ...

  x² = 4

  x = √4 = 2

The only solution is x = 2.

__

Additional comment

In the attachment, we have rewritten the equation to ...

  x|x| -4 = 0

The graphing calculator readily identifies x-intercepts, so this is a convenient way to find the solution. You will notice that for x < 0, the graph is of -x²-4, which is never zero.

<95141404393>

Answer:

The surface area of the hexagonal pyramid is 313.13 square inches.

Step-by-step explanation:

Hexagonal pyramid,

Surface Area = Area of hexagon base + areas of six triangles

b = 6

h = 12.2 (height of the triangle)

A = [tex]\frac{3\sqrt{3} }{2}b + 6(\frac{1}{2} bh)[/tex]

A = [tex]\frac{3\sqrt{3} }{2}b +3bh[/tex]

A = [tex]\frac{3\sqrt{3} }{2}6 +3*6*12.2\[/tex]

A = 93.53 + 219.6

A = 313.13 square inches

The numerical value of x in the dimensions of the rectangle is 9.

A rectangle is a 2-dimensional shape with parallel opposite sides equal to each other and four angles are right angles.

Area of a rectangle is expressed as;

A = length × width

From the diagram:

Wdith of the rectangle = x - 2

Length of the rectangle = x + 5

Area = 98 ft²

Since area of a rectangle =  length × width:

98 = ( x - 2 )( x + 5 )

Simplify

( x - 2 )( x + 5 ) = 98

Apply distributive property:

x² + 3x - 10 = 98

x² + 3x - 10 - 98 = 0

x² + 3x - 108 = 0

Factor using AC method:

( x - 9 )( x + 12 ) = 0

Hence:

x - 9 = 0 or x + 12 = 0

x = 9 or x = -12

Since, we are dealing with dimensions, we take the positive value.

Hence, the value of x is 9.

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The value of the measure of the arc or angle indicated are,

⇒ m ∠DCE = 54°

⇒ m ∠MON = 53°

Now, We can simplify as,

4) As shown in figure,

m arc DE = 360° - (121° + 131°)

m arc DE = 360° - 252°

m arc DE = 108°

So, We get;

⇒ m ∠DCE = m DE / 2

⇒ m ∠DCE = 108 / 2

⇒ m ∠DCE = 54°

4) As shown in figure,

m arc MN = 360° - (109° + 145°)

m arc MN = 360° - 254°

m arc MN = 106°

So, We get;

⇒ m ∠MON = m MN / 2

⇒ m ∠MON = 106 / 2

⇒ m ∠MON = 53°

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The answers are given as:

Ai. The price at Store B would be $583 / 1.21 = $481.82

ii. The price at Store A would be $1200 * 1.21 = $1452.

b. The percent increase in membership from 2020 to 2021 is 13.64%

A.

i. If the price at Store A was $583, the price at Store B would be $583 / 1.21 = $481.82 (approximately).

ii. If the price at Store B was $1200, the price at Store A would be $1200 * 1.21 = $1452.

b. The percent increase in membership from 2020 to 2021 is ((12,500 - 11,000) / 11,000) * 100 = 13.64% (approximately).

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Answer:

B.  90 tickets

Step-by-step explanation:

For t tickets sold, we want the revenue equal to the cost.

25t = 450 +20t

5t = 450 . . . subtract 20t

t = 90 . . . . . divide by 5

90 tickets is the break-even point.

___

:D

Sin 40° = x/16

0.6428 = x/16

x = 0.643 × 16

x = 10.2848

x = 10.28

So, the value of x is 10.28 (C)

That's it :)

The value of an automobile company's stock fell 5 points over the last month.  The integer that represents the change in the stock's value is -5.

In the context of stock market performance, positive values typically indicate an increase in the stock's value, while negative values indicate a decrease. In this case, since the stock's value fell by 5 points, we assign a negative sign to represent the change.

By convention, negative numbers are used to represent decreases or losses, while positive numbers represent increases or gains. When the stock's value decreases, it is common to use negative integers to signify the change.

In this scenario, a decrease of 5 points is denoted by the negative sign (-) followed by the numerical value 5. Therefore, the integer -5 represents the change in the stock's value.

Using this notation helps provide clarity and consistency in understanding the direction and magnitude of changes in stock prices. It allows investors, analysts, and market participants to communicate and interpret market movements accurately and effectively.

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Answer:

Step-by-step explanation:

it is only moving 3 to the right, so shift the green dot to (3,0)

I used desmos . com for the graph

The solution of  f(x)/g(x) is the function x ^5/2 + 6x^3/2 + 1

option C is correct.

Here, we have,

given that,

the functions are:

f(x) = x^3+6x^2+x^1/2

g(x) = x^1/2

so, we have,

f(x)/g(x)

= x^3+6x^2+x^1/2 / x^1/2

= x^3/ x^1/2  +6x^2/ x^1/2  +x^1/2/ x^1/2

=x ^5/2 + 6x^3/2 + 1

Hence, The solution of  f(x)/g(x) is the function x ^5/2 + 6x^3/2 + 1

option C is correct.

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The value of the permutation P(5,0) is 1.

To find the value of the permutation P(5,0), we can use the formula:

P(n, r) = n! / (n - r)!

In this case, we have n = 5 and r = 0.

Substituting these values into the formula, we get:

P(5,0) = 5! / (5 - 0)!

Since any number factorial is equal to 1, we have:

P(5,0) = 5! / 5!

Simplifying further:

P(5,0) = 1

Therefore, the value of the permutation P(5,0) is 1.

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The answer to this question: B

Answer: C-Cylinder

Step-by-step explanation:

In this problem, you are rotating the rectangle on the x axis. If you rotate it along this side, the rectangle makes it a cylinder.

Para aquellos que necesitas este respuesta en español: En este problema, estás girando el rectángulo sobre el eje x. Si lo giras a lo largo de este lado, el rectángulo lo convierte en un cilindro.

I hope this helps!

Answer:

The correct answer is (C), cylinder.

Explanation:

When the rectangle is rotated around the axis shown, it will create a three-dimensional shape with two parallel bases that are connected by a curved surface. This shape is called a cylinder.

To find the measure of each interior and exterior angle of a regular 30-gon, we can use the formula:

In this case, we have a regular 30-gon, so n = 30.

Let's calculate the measures:

Therefore, each interior angle of the regular 30-gon measures 168°, and each exterior angle measures 12°.

The value of the expression [tex]n^2 - 11n + 10[/tex] is equivalent to (n - 1)(n - 10).

To find the value of the expression [tex]n^2 - 11n + 10[/tex], we can follow these steps:

Start with the given expression: [tex]n^2 - 11n + 10.[/tex]

Look for any like terms that can be combined. In this case, there are no like terms.

Since there are no like terms, we can simplify further by factoring the expression. We need to find two numbers that multiply to give 10 (the constant term) and add up to -11 (the coefficient of the middle term, which is -11n).

The numbers that satisfy these conditions are -1 and -10, because

(-1) × (-10) = 10 and (-1) + (-10) = -11.

Now we can rewrite the expression using these numbers:

[tex]n^2 - 11n + 10 = (n - 1)(n - 10).[/tex]

So the factored form of the expression is (n - 1)(n - 10).

Therefore, the value of the expression [tex]n^2 - 11n + 10[/tex] is equivalent to (n - 1)(n - 10).

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Answer:

8 feet

Step-by-step explanation:

Let b be the length of the base. Then the height is b+6 ft.

The area of the parallelogram is given by:

Area = b(b + 6) = 160

Solving for b, we get,

[tex]b^2 + 6b - 160 = 0[/tex]

Factoring the expression, we get:

(b - 8)(b + 20) = 0

Therefore, b = 8 or b = -20.

Since the base cannot be negative, b = 8.

Therefore, the length of the base of the parallelogram is 8 feet.

Answer:

a]14/pi

Step-by-step explanation:

Answer:

When an exponent of the power is an even number and the base is a negative number, the value is always positive.

Value of an exterior angle of a triangle is equal to the sum of values of two opposite interior angles of a triangle.

[tex]\qquad\displaystyle \tt \dashrightarrow \: 5x + 10 = 40 + 70[/tex]

[tex]\qquad\displaystyle \tt \dashrightarrow \: 5x = 110 - 10[/tex]

[tex]\qquad\displaystyle \tt \dashrightarrow \: 5x = 100[/tex]

[tex]\qquad\displaystyle \tt \dashrightarrow \: x = 100 \div 5[/tex]

[tex]\qquad\displaystyle \tt \dashrightarrow \: x = 20[/tex]

Value of x = 20°

Hey! there . Thanks for your question :)

Answer:

Step-by-step explanation:

In this question we are given with two interior angles of the triangle that are 40° and 70° , also we are given an exterior angle that is (5x + 10)°. And we are asked to find the value of angle x.

Solution :-

For finding the value of angle x , we have to use exterior angle property of triangle which states that sum of opposite interior angles of triangle is equal to the given exterior angle. So :

Step 1: Making equation :

[tex] \longmapsto \: \sf{40 {}^{°} + 70 {}^{°} = (5x + 10) {}^{°} }[/tex]

Solving :

[tex] \longmapsto \: \sf{110 {}{°} = (5x) {}^{°} +10 {}^{°} }[/tex]

Step 2: Subtracting 10 on both sides :

[tex] \longmapsto \sf{ 110 {}^{°} - 10 {}^{°} = 5x + \cancel{10 {}^{°}} - \cancel{10 {}^{°} } }[/tex]

We get ,

[tex] \longmapsto \sf{(5x ){}^{°} = 100 {}^{°} }[/tex]

Step 3: Dividing both sides by 5 :

[tex] \longmapsto \dfrac{ \cancel{5}x {}^{°} }{ \cancel{5}} = \dfrac{ \: \: \: \: \cancel{ 100} {°}^{} }{ \cancel{5} }[/tex]

On cancelling , we get :

[tex] \longmapsto \underline{\boxed{\red{\sf{ \bold{ x = 20 {}^{°} }}}}} \: \: \bigstar[/tex]

Verification :-

For verifying sum of both the interior angles is equal to given exterior angles. As we get the value of x as 20 we need to substitute it's value in place x and then L.H.S must be equal to R.H.S :

Therefore , our answer is correct .

Answer:

It maybe 12,000/120,000

Step-by-step explanation:

12months a year

12+12=24 so,

500×24=12,000

or 120,000

Answer:

The sum of 33, 78, 23, 21, 98, and 32 is 325.

The length of each side of the square base should be approximately 244.95 meters when rounded to the nearest hundredth.

To calculate the length of the sides of the square base of the pyramid, we can use the formula for the volume of a square pyramid:

V = (1/3) * (side length)^2 * height

Given that the volume of the pyramid is 2,000,000 m³ and the height is 100 m, we can substitute these values into the formula:

2,000,000 = (1/3) * (side length)^2 * 100

To isolate the side length, we can rearrange the equation:

(side length)^2 = (2,000,000 * 3) / 100

(side length)^2 = 60,000

Taking the square root of both sides, we find:

side length ≈ √60,000

side length ≈ 244.95

Therefore, the length of each side of the square base should be approximately 244.95 meters when rounded to the nearest hundredth.

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The complete table for the function are

x  -2  -1  1  3

y  2   3  5  7

The graph is added as an attachment

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

The function equation and the incomplete table of values

This is given as

y = x + 4

From the table, the missing values are at

x = -2, x = -1, 1 and x = 3

So, we have

y = -2 + 4 = 2

y = -1 + 4 = 3

y = 1 + 4 = 5

y = 3 + 4 = 7

The graph is added as an attachment

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The statement is saying that a class R is considered an n-ary relation if all its elements are n-tuples.

The symbol R⊂Vⁿ represents that the class R is a subset of Vⁿ, which is the class of all n-tuples.

Here, Vⁿ represents the set of all possible n-tuples, and R is a subset of that set.

The notation Cⁿ is used to denote the set of n-tuples with elements from the set C, and C×D represents the Cartesian product of sets C and D.

The statement defines an n-ary relation as a class where all its elements are n-tuples, and it establishes a connection between the class R and the set of all n-tuples (Vⁿ).

The notation Cⁿ and C×D are used to describe sets of n-tuples and Cartesian products, respectively, in a mathematical context.

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Answer: 18

Step-by-step explanation:

Multiply number of each item possible

3*2*3=18

The solution of the given equations is: (3,-1).

Here, we have,

from the given graph we get,

1st line passes through ( 0,2 ) and (2,0)

so, equation: y = -x+2 .....1

2nd line passes through ( 0,-4 ) and (4,0)

so, equation: y = x-4 .....2

now, from 1 and 2 we get,

-x + 2 = x -4

or, 2x = 6

or, x = 3

so, we have, y = -1

so, the point of intersection is (3, -1)

Hence, The solution of the given equations is: (3,-1).

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Answer:

  47.5%    (rounds to 48%)

Step-by-step explanation:

You want the probability that a tree has between 240 and 300 apples, given the distribution of numbers of apples is normal with mean 300 and standard deviation 30.

The given diagram shows the center 95% of numbers of apples lies between 240 and 360. The number between 240 and 300 is half that symmetical distribution, so is ...

  95%/2 = 47.5%

The probability a tree will have between 240 and 300 apples is about 47.5%.

__

Additional comment

The figure "95%" is an approximation. A closer value is 95.45%. Hence, a closer value to the probability is 47.7%.

No rounding requirement is shown. To the nearest whole percentage point, the probability would be 48%.

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Teresa's result of 95 heads is slightly higher than what she would have expected, it is still reasonably close to the expected value based on the theoretical probability of getting a head when flipping a fair coin.

Teresa's result of 95 heads in 150 coin flips is slightly higher than what she would have expected if the theoretical possibility of getting a head when flipping a coin was exactly 1/2.

When flipping a fair coin, the probability of getting a head is indeed 1/2, and the probability of getting a tail is also 1/2. Therefore, if we assume that the coin is fair and unbiased, we can use the concept of expected value to determine what Teresa would have expected.

The expected value of a single coin flip can be calculated as follows:

Expected value = (Probability of an outcome) * (Value of the outcome)

In this case, the probability of getting a head is 1/2, and the value of getting a head is 1 (since we are interested in the number of heads). Therefore, the expected value of a single coin flip is:

Expected value = (1/2) * 1 = 1/2

To determine what Teresa would have expected in 150 coin flips, we can multiply the expected value of a single coin flip by the number of flips:

Expected number of heads = (Expected value) * (Number of coin flips)

Expected number of heads = (1/2) * 150 = 75

So, if Teresa had flipped the coin 150 times and the coin was fair, she would have expected to get approximately 75 heads.

However, Teresa obtained 95 heads in her actual experiment. This result is slightly higher than the expected value of 75 heads. It's important to note that, due to the inherent randomness of coin flips, there will always be some variation between the expected and actual results. Flipping a coin 150 times is a relatively small sample size, and it is within the realm of possibility to deviate from the expected outcome.

Therefore, while Teresa's result of 95 heads is slightly higher than what she would have expected, it is still reasonably close to the expected value based on the theoretical probability of getting a head when flipping a fair coin.

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