Which statements describe a triangular prism? Select three options. It has one base. It has two bases. It has three lateral faces. It has four lateral faces. Its lateral faces are rectangular.

The function is shown to be positive throughout the whole range [-3, -2] in graph (B).

According to the question,

Looking at the graph, we can see that the graph B has positive y-values in the range [-3, -2].

Hence The function is shown to be positive throughout the whole range [-3, -2] in graph (B).

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The attached image represents the foci of the hyperbola

The equation of the hyperbola is given as:

[tex]\frac{x^2}{625} - \frac{y^2}{3600} = 1[/tex]

Rewrite as:

[tex]\frac{x^2}{25^2} - \frac{y^2}{60^2} = 1[/tex]

A hyperbola is represented as:

[tex]\frac{(x - h)^2}{b^2} - \frac{(y - k)^2}{a^2} = 1[/tex]

This means that:

h = 0

k = 0

b = 25

a = 60

Next, calculate c the distance from the center to the focus using:

[tex]c = \sqrt{a^2 -b^2}[/tex]

This gives

[tex]c = \sqrt{60^2 -25^2}[/tex]

Evaluate

[tex]c = \pm \sqrt{2975}[/tex]

This means that:

Foci = (0, -√2975) and (0, √2975)

See attachment for the hyperbola and the foci

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Answer:

The answer is (-2,6)

Step-by-step explanation:

Answer: (-2, 6)

Step-by-step explanation:

An easy way to solve this is to plug in each answer into the system of inequalities to figure out with ordered pair adheres to the rules of both equation.

Let's use the first ordered pair as an example: (-3,4)

Is this true?:

4 > (-3)² +1

4 < (-3)² - (-3) + 1

No, it is not:

4 < 10

4 < 13

Let's try the second answer:

Is this true?:

6 > (-2)² + 1

6 < (-2)² -(-2) + 1

YES, it is!

6 > 5

6 < 7

(-2, 6) is your answer. To check, verify that the last two answer choices are wrong.

The limit [tex]\lim_{X \to \ 3^{-} } f(x)[/tex] is equal to -1 to infinity for the function whose graph is being shown in the question.

Given Graph of a function.

If we see the graph carefully then we can find that it is not a straight linear means it is not the graph of a linear function. From x=-3 to infinity  the range is from -1 to -infinity and from 3 onwards it is a straight line at y=-4. means when we put the value of x in the function equal to or less than 3 then we gets different answers than the values equal to or greater than 3 gives.

Hence the limit  is equal to (-infinity,-1]

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Answer:

x < 13 and x > -13

Step-by-step explanation:

Split the absolute value equation into 2 equations to account for the positive and negative answers possible with absolute values.

Write the positive value first by removing the absolute value symbol.

x < 13

Flip the inequality and make the 13 negative for the other side.

x > -13

Yes, the line r is parallel to the line s and the line p is parallel to the line q.

Here the given lines are p, q, r, s.

Line p and q are parallel to each other.

and the line p is parallel to the line q.

Therefore, Yes, the line r is parallel to the line s and the line p is parallel to the line q.

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Answer:

{0, 2, 4, 6, 8 }

Step-by-step explanation:

the range is the y- coordinates of the ordered pairs , then

range { 0, 2, 4, 6, 8 }

Answer:

x=3

Step-by-step explanation:

we first write both equations:

[tex]3x + 4y = 12 \\ 9x - 4y = 24[/tex]

then we add the Left hand sides from both, and compare to the Right hand sides from both:

[tex]3x + 4y + 9x - 4y = 12 + 24 \\ 3x + 9x = 36 \\ 12x = 36 \\ x = 3[/tex]

Answer:

C

Step-by-step explanation:

cos 30=12/x

[tex]x = 8 \sqrt{3} [/tex]

cos60=y/x

[tex]y =4 \sqrt{3} [/tex]

Answer:

x = [tex]8\sqrt{3}[/tex]

y = [tex]4\sqrt{3}[/tex]

Step-by-step explanation:

• tan 60° = 12/ y         [tan θ = opposite/ adjacent]

y = 12/ tan 60°  

y = [tex]4\sqrt{3}[/tex]

• x² = y² + 12²             [Pythagoras's theorem]

x² = ( [tex]4\sqrt{3}[/tex] )² + 144

x = [tex]\sqrt{(4\sqrt{3})^{2} \space\ + \space\ 144}[/tex]

x = [tex]8\sqrt{3}[/tex]

The measure of the exterior angle PNM will be x < 77. Then the correct option is C.

A triangle is a three-sided polygon with three angles. The angles of the triangle add up to 180 degrees.

Triangle NPO is shown.

Line ON extends through point M to form exterior angle PNM.

Angle NPO is 38 degrees.

Angle PON is 39 degrees.

Let the exterior angle PNM is x degrees and the interior angle PYO be y.  

Then we have

38 + 39 + y = 180°

                y = 103°

And we know that the sum of interior and exterior angle is a triangle is 180 degrees.

   x + y < 180

103 + x < 180

         x < 77

Then the correct option is C.

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[tex]4x - 2x = 7 + 3 \\ \\ 2x = 10 \\ \\ x = \frac{10}{2} \\ \\ x = 5.[/tex]

[tex]2x - 7x = - 14 - 6 \\ \\ - 5x = - 20 \\ \\ x = \frac{20}{5} \\ \\ x = 4.[/tex]

There are multiple ways to prove congruence between two triangles:

Keep in mind that the order of the letters matters.

Given triangle JLM, we know that

This is only one of the ways to prove congruence with these two triangles.

Answer:

$110

Step-by-step explanation:

$30-$8=$22 each week

$22×5weeks=$110

Answer: [tex]-9s^2 + 4s-2[/tex]

Step-by-step explanation:

[tex](-6s^2 +12s-8)-(3s^2 + 8s-6)\\\\=-6s^2 + 12s-8-3s^2 - 8s+6\\\\=\boxed{-9s^2 +4s-2}[/tex]

Answer:

question 3: n is bigger than or equal to 0

question 5: n is bigger than or equal to 0 (the same as question 3)

Step-by-step explanation:

solve the same way as a equation. just remember the symbols

The measure of the angle of elevation from the ground to the top of the ladder is 68.73 degrees

These method is used to determine the side and angles of a triangle

From the question given, we have the following parameters

Base of the building = 7feet (Adjacent side)

Height of the building = 18 feet (Opposite side)

Required

angle of elevation of the building

Using the SineOppositeHypotenuse CosineAdjacentHypotenuse TangentOppositeAdjacent identity

tanФ = opp/adj

tanФ = 18/7

Ф = 68.73 degrees

Hence the measure of the angle of elevation from the ground to the top of the ladder is 68.73 degrees

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Answer:

15/100*1800=15*1800/100=15*18=270

Step-by-step explanation:

1800-270=1530 therefore answer is 1530

Answer:

Step-by-step explanation:

Declaration

Let Brand A number of 2.00 socks= x

Let Brand B number of 3.00 socks = y

Equations

Number of socks : x + y = 5

Cost of socks: 2x + 3y = 13

Solution

Multiply top equation by 2

2(x+ y = 5)

2x + 2y = 10

Write the new equation under the cost of socks equation

2x + 3y = 13

2x + 2y = 10       Subtract.

y = 3

She spent 3 dollars on 1 pair of socks.

Now she needs to calculate the number of 2.00 dollar socks

2x + 3y = 13

2x + 3*3 = 13                Combine the left

2x + 9 = 13                   Subtract 9 from both sides.

2x +9-9 = 13-9             Combine

2x = 4                          Divide by 2

2x/2 = 4/2

x = 2

Answer

#2 dollar socks = 2

#3 dollar socks = 3

Answer:

D)

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:

4xy(3a+2b+1)

Step-by-step explanation:

1)  Find the Greatest Common Factor (GCF).

1 - What is the largest number that divides evenly into 12axy, 8bxy and 4xy?

It is 4.

2 -  What is the highest degree of [tex]a[/tex]  that divides evenly into 12axy, 8bxy and 4xy?

It is 1, since a is not in every term.

3 -  What is the highest degree of [tex]x[/tex] that divides evenly into 12axy, 8bxy and 4xy?

It is x.

4 - What is the highest degree of [tex]y[/tex]  that divides evenly into  12axy, 8bxy and 4xy?

It is y.

5 -  What is the highest degree of [tex]b[/tex] that divides evenly into 12axy, 8bxy and 4xy?

It is 1, since [tex]b[/tex] is not in every term.

6 - Multiplying the results above,

GCF = 4xy

2)  Factor out the GCF. (Write the GCF first. Then, in parentheses, divide each term by the GCF.)

[tex]4xy(\frac{12axy}{4xy} +\frac{8bxy}{4xy} +\frac{4xy}{4xy} )[/tex]

3) Simplify each term in parentheses.

[tex]4xy(3a+2b+1)[/tex]

Answer:

 D) -6

Explanation:

f(x) = 0 suggests the x value which will make the function zero.

Find slope:

⇒ (y₂ - y₁)/(x₂-x₁)

⇒ (2 - 1)/(-2-(-4))

⇒     1/2

Equation:

⇒ y - 2 = 1/2(x - (-2))

⇒ y = x/2 + 3

If f(x) = 0

x/2 + 3 = 0

x/2 = -3

x = -6

Answer:

The simplified form is -26x^2 + 56x -15

Step-by-step explanation:

We need to solve the expression:

3x(-2x+7)-5(x-1)(4x-3)

Multiplying the terms outside the bracket with the terms inside the bracket.

=-6x^2+21x-5(x(4x-3) -1(4x-3))

= -6x^2+21x-5(4x^2-3x-4x+3)

= -6x^2+21x-5(4x^2-7x+3)

Now multiply -5 with the terms inside the bracket

= -6x^2+21x -20x^2 +35x -15

Now, Combining the like terms:

= -6x^2 -20x^2 +21x+35x -15

Adding the like terms

= -26x^2 + 56x -15

So, the simplified form is -26x^2 + 56x -15

-26^2+56x-15 yea that should be the answer

The correct option is the mean for set 2 is equal to the mean for set 1. (option A).

Mean is a measure of central tendency that is used to determine the average of a set of numbers.  

Mean = sum of the numbers / total number

Mean of set 1 = (29 + 31 + 27 + 33 + 30) / 5

= 150 / 5 = 30

Mean of set 1 = (33 + 31 + 26 + 31 + 29) / 5

= 150 / 5 = 30

Median is the measure of center of a dataset. It determines the value that is at the center of a dataset that is arranged in either ascending or descending order.

Set 1 arranged in ascending order : 27, 29, 30, 31, 33

Median of set 1 = 30

Set 2 arranged in ascending order : 26, 29, 31, 31, 33

Median of set 2 = 31

Differnce in the median = 31 - 30 = 1

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Answer:

only AAS,ASA and SSA Are classified

It's false

Step-by-step explanation:

please mark me as brainlest

False

The key reason is the formula 's limitations

As SSS means only three sides and no angles are given Law of sines can't be used

Answer:

0

Step-by-step explanation:

0 is a rational number...........

The TVM solver is a tool found in graphing calculators, that solve Time Value of Money problems.

The group of values that will return the same value as the given expression is;

D. N = 24; I% = 3.6; PV =; PMT = -415; FV = 0; P/Y = 12; C/Y = 12; PMT :END

Present value (PV) formula finds application in finance to calculate the present day value of an amount that is received at a future date.

In the TVM solver, we have;

I = The annual percentage rate

N = n × t

t = The number of years

PV = Present value

PMT = Payment

P/Y = Number of payments per year = n

C/Y = Number of compounding periods per year = n

The formula for monthly payment is presented as follows;

[tex]P = \frac{M[(1+r/n)^{nt} - 1]}{(r/n)(1+r/n)^{nt}}[/tex]

M = [tex]\frac{P.(r/n)(1+ r/n)^{nt} }{(1+ r/n)^{nt} - 1}[/tex]

Therefore, we get;

Where;

M = PMT = -415

P = PV

r = I

P/Y = n = 12

Therefore;

0.003 = I/12

I = 0.003 X 12 = 3.6%

N = n X t = 24

The value of the equation is the present value, PV = ?

When payment are made based on the PV, we have FV = 0

The group of values the same value as the expression

P = [tex]\frac{(415)[(1+0.003)^{24}-1]}{(0.003)(1+0.003)^{24}}[/tex]

when plugged into the TVM solver of a calculator is;

D. N = 24; I% = 3.6; PV =; PMT = -415; FV = 0; P/Y = 12; C/Y = 12; PMT :END

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The appropriate numbers to fill in the magic squares are;

Row 2, Column 2 = 21/133

Row 2, Column 3 = 24/38

Row 3, Column 2 = 70/95

Row 3, Column 3 = 25/95

To solve this magic square, we will follow the procedures below;

When we follow those steps above, we will arrive at the following figures;

Row 2, Column 2 = 21/133

Row 2, Column 3 = 24/38

Row 3, Column 2 = 70/95

Row 3, Column 3 = 25/95

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