What is the volume of the prism?

Linear equations are typically organized in slope-intercept form:

[tex]y=mx+b[/tex]

To determine the equation of a line:

We're given:

[tex]y=mx+b[/tex]

⇒ Plug the slope into the equation:

[tex]y=-\dfrac{1}{3}x+b[/tex]

⇒ Plug in the given point (3,5) and determine the y-intercept:

[tex]5=-\dfrac{1}{3}(3)+b\\\\5=-1+b\\\\b=6[/tex]

⇒ Plug this back into the equation along with the slope:

[tex]y=-\dfrac{1}{3}x+6[/tex]

[tex]y=-\dfrac{1}{3}x+6[/tex]

207/5 is the simplest form of  [tex]1\frac{3}{10}[/tex] ×18

A number system is defined as a system of writing to express numbers.

We need to find the simplest form of [tex]1\frac{3}{10}[/tex] ×18

Convert the mixed fraction to improper fraction and simplify.

 [tex]1\frac{3}{10}[/tex]=23/10

Now multiply Twenty three divided by ten with eighteen.

23/10×18

Multiply 23 and 18

23×18=414

Now divide 414 by 10

414/10

Both numerator and denominator can be divided by 2 so

207/5

Hence 207/5 is the simplest form of  [tex]1\frac{3}{10}[/tex] ×18

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Answer:

121.1

Step-by-step explanation:

The measurement j will be 121.1

Law of sine says that ratio of sine of an angle and its opposite side is always same for every 3 angles of the triangle and their opposite sides.

In ΔABC,

sinA/a = sinB/b = sinC/c

in the given triangle ΔIJK

∠J=34°

∠I=72°

i=206

So, using law of sine,

sinI/i = sinJ/j

⇒sin72°/206=sin34°/j

⇒j=(sin34°/sin72°)*206

⇒j=121.1

Therefore, the value of j will be 121.1

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Answer:

A’(5 , -3)

B’(1 , 5)

C’(-9 , 1)

Step-by-step explanation:

Let A be the point of coordinates (-4, 3)

Let B be the point of coordinates (-2, -1)

Let C be the point of coordinates (3, 1) 

____

In this case we can form three parallelograms ABA’C, BAB’C , CAC’B

How to find the coordinates of the fourth point A’ of the parallelogram ABA’C

Since we know that the diagonals AA’ and BC of the parallelogram ABA’C intersect in their midpoint then we need to solve these two equations in order to get the coordinates of the point A’ :

[tex]\begin{aligned}\left\{\begin{array}{l}\frac{x_{A}+x_{A^{\prime}}}{2}=\frac{x_{B}+x_{C}}{2} \\\frac{y_{A}+y_{A^{\prime}}}{2}=\frac{y_{B}+y_{C}}{2}\end{array}\right.& \Leftrightarrow\left\{\begin{array}{l}-4+x_{A^{\prime}}=-2+3 \\3+y_{A^{\prime}}=-1+1\end{array}\right.\\\\& \Leftrightarrow\left\{\begin{array}{l}x_{A^{\prime}}=1+4=5 \\y_{A^{\prime}}=0-3=-3\end{array}\right.\\\\& \Leftrightarrow A^{\prime}(5,-3)\end{aligned}[/tex]

________________________

We can follow the same method for the other two parallelograms In order to get the coordinates of the points B’ and C’.

B’(1 , 5)

C’(-9 , 1)

Answer:

y = -2x + 16

hope this helped :)

Answer:

The triangle is equilateral, therefore each angle must be 60.

Step-by-step explanation:

To Express q(x)=12x^5+40x^4-32x^3 in the form described in the Linear Factorization Theorem. The zero is 0, 2/3, -4 and the multiplicity is: 3, 1, 1.

q(x)=12x^5+40x^4-32x³

q(x)=4x³ (3x²+10x-8)

q(x)=4x³(3x²+12x-2x-8)

q(x)=4x³ [(3x (x+4)-2 (x+4)]

q(x)=4x³ (3x-2) (x+4)

When:

q(x)=0; x1=0; x2=2/3; x3=-4

Hence:

When:

x=0 the multiplicity is 3

x=2/3 the multiplicity is 1

x=-4 the multiplicity is 1

Therefore the zero is 0, 2/3, -4 and the multiplicity is: 3, 1, 1.

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Answer:

[tex]\frac{1}{4}*\frac{25}{25} = 25/100[/tex]=25%

Step-by-step explanation:

Answer:

The total surface area is

57ft^2.

Answer:

1.c

2.a

3.d

4.b

5.b

Step-by-step explanation:

I found the answers on a web site.

Answer:

1.A

2.D

3.C

4.B

5.A

Step-by-step explanation:

Answer:

3/4

Step-by-step explanation:

⇒ P(T) = 1/2

⇒ P(Q) > P(T)

⇒ P(Q) > 2

A possible probability is :

Answer:

24,400

Step-by-step explanation:

58912 minus 34512 equals 24400.

Hope this Helps.

BTW it's my birthday

Answer:

24400

Step-by-step explanation:

No explanations; 58912-34512=24400

Answer:

4

Step-by-step explanation:

subtract 2 on both sides you will get 4x=16 because 18-2=16 then divide both sides by 4 to get ×=4

4x+2=18

-2. -2

4×=16

4. 4

x=4

Answer:

look at each pair. examine each notice exponents so you find the hidden gcf

Step-by-step explanation:

Answer:

college c

Step-by-step explanation:

bc its the least amount of money and has the second highest loan default

Answer:

Step-by-step explanation:

An exponent is used to signify repeated multiplication. When the population doubles, it is multiplied by 2. The number of times the population has doubled will be an exponent of 2.

In 34 hours, the population will have doubled 34/8 = 4.25 times. The multiplier is 2 with an exponent of 4.25:

 factor = 2^4.25 ≈ 19.027

__

The population will double 24/8 = 3 times each day. After 7 days, the population will have doubled 7×3 = 21 times. The multiplication factor is ...

  factor = 2^21 = 2,097,152

The exercise above is referred to as Hypothesis Testing which is also called Significance Testing.

Significance testing is a method that is used to evaluate a research question. This is important because, after you have set a research question or hypothesis, the next step is to check whether it is Null or not.

Using ∝ = 0.05₂ tail, the conclusion is given as follows:

Z[tex]_{obt}[/tex] = (84-90)/10/[tex]\sqrt{10}[/tex]

      = - 6/10/‭3.1622777

      = -6/‭3.1622777

      = -1.8973666

Z[tex]_{crit}[/tex] = for a two-tailed test with ∝ = 0.05 = = ± 1.960

Because we are looking at the left (negative, fewer) tail, Z[tex]_{crit}[/tex] = -1.960

Since | Z[tex]_{obt}[/tex] = -1.897 | [tex]\geq[/tex] |  Z[tex]_{crit}[/tex] = -1.960 |

It does fall within the critical region for rejection (left tail), therefore we reject the null hypothesis (H₀) and conclude that the average time spent in the institution for the sample of patients is significantly lower than the institution's average stay.

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Answer:

Easy! The answer is $4,150

Step-by-step explanation:

The $350 is interest so we will take that away from the maturity value to get 4,150!

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Answer: 21600

216 as a percentage of certain number x can be calculated by dividing 216 by x, and multiplying the result by 100. For example, 216 as a percentage of 10 = (216 / 10) x 100% = 2160%.

Step-by-step explanation:

Answer:

25[tex]\pi[/tex]

Step-by-step explanation:

[tex]\pi[/tex]r^2 is the formula for a circle (in this case, a circular rug)
and we would set it equal to 84 (since we are trying to get the biggest size possible).
We would isolate r so that r^2 = 84/[tex]\pi[/tex], and r would be around 5.17219.
If we were going by rounding 5 would be the largest radius possible and the radius would be 25[tex]\pi[/tex] or about 78.5398 units.

Answer:

Rounded to one decimal place, the maximum area circular rug that can fit in the dining room is 38.5 square feet.

Please See the attached screenshot for the exact solutions and answer for this question

Answer:

Several interpretations:

1. If you're simply looking for the math involved in the employee's portion of the $8,800: 6.2% +1.45% = 7.65%. So 7.65% of $8,800 = $673.20.

2. If you are trying to calculate total FICA for this pay period, it would be 12.4% + 2.9% since these amounts are split between the employer and employee (15.3% = $1,346.40).

3. If you are trying to calculate the total for this pay period given that their YTD earnings are $417,900 (lucky employee!), they do not owe anything (see explanation below).

Step-by-step explanation:

The OASDI program limits the amount of earnings that are subject to taxation in a given year. For 2022, the contribution and benefit base, otherwise known as the taxable maximum, is $147,000. The taxable max for 2018 was $128,400).

Assuming this employee has exceeded that amount as their current YTD income is $417,900 (409,100 + 8,800), they don't owe anything.

Quick Edit:

My apologies! An additional 0.9% Medicare tax is added for taxable income exceeding $200,000 depending on their filing status. Table is available at https://fitsmallbusiness.com/

Answer:The output values are reflected across the x-axis and the input values are reflected across the y-axis.

Step-by-step explanation:

aye man you gotta believe me ;)

The graph of f(x) is transformed into g(x) by reflecting the output values across the x-axis and reflecting the input values across the y-axis.

We have,

f(x) = (1/2)³x

and, g(x) = -(1/2)³⁻ˣ

In f(x), the coefficient 3 in the exponent represents exponential growth.

Now, g(x) = –One-half(3)–x.

Here, the negative sign changes the sign of the output values, reflecting them across the x-axis. This means that the graph will be flipped upside down.

and, the negative exponent also changes the sign of the input values, reflecting them across the y-axis. This means that the graph will be mirrored across the y-axis.

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Answer:

4/10

2/5

6/15

Step-by-step explanation:

We can change all fraction to decimal :

2/10 = 0.2

1/10 = 0.1

4/10 = 0.4

2/5 = 0.4

4/5 = 0.8

6/15 = 0.4

Base on that we can see that 4/10, 2/5, and 6/15 are equal

~lenvy~

Answer:

Step-by-step explanation:

This is a counting problem. As with many counting problems, it is helpful to adopt a strategy that helps ensure you count everything only once.

__

There are two pentagonal faces and 5 rectangular faces for a total of ...

  7 faces

__

There are 5 edges around each of the pentagonal faces, and 5 edges connecting the top face to the bottom faces, for a total of ...

  15 edges

__

There are 5 vertices on the top face, and 5 on the bottom face, for a total of ...

  10 vertices

The lines that are the directrices of the ellipse is B. x = −3.25 and x = 9.25.

From the information given, the equation of parabola will be:

= (x - 3)²/5² + (y - 2)²/3² = 1

Hence, h = 3, k = 2, a = 5, b = 3

e = ✓1 - ✓3²/5²

E = 4/5 = 0.8

The directix will be:

x = 3 + 5/0.8

x = 9.25

x = 3 - 5/0.8

x = -3.25

Therefore, lines that are the directrices of the ellipse is x = −3.25 and x = 9.25.

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Answer:

Daughter is now 10 The mother is 30

Step-by-step explanation:d

d=daugter

5d=mother

5d = 2d +5 +10

3d =15

d=5

5 years ago    d=5  m=25

now                  d=10 m=30

in10 years        d=20 m=40

Answer:

A)  A coordinate grid is shown from negative 10 to positive 10 on the x axis and also on the y axis. Two lines are shown intersecting on the ordered pair (3, 8)

Step-by-step explanation:

Given equations:

[tex]\textsf{Equation 1}: \quad y=-2x+14[/tex]

[tex]\textsf{Equation 2}: \quad y=2x+2[/tex]

Substitute Equation 2 into Equation 1 and solve for [tex]x[/tex]:

[tex]\implies 2x+2=-2x+14[/tex]

[tex]\implies 4x=12[/tex]

[tex]\implies x=3[/tex]

Substitute found value of [tex]x[/tex] into Equation 2 and solve for [tex]y[/tex]:

[tex]\implies y=2(3)+2=8[/tex]

Therefore, the solution to the system is (3, 8).  

This is the point of intersection of the two lines.

Answer:

y=(x-1)

Step-by-step explanation:

[tex]\displaystyle \int x \cos x ~dx\\\\=x\displaystyle \int \cos x ~dx- \displaystyle \int \left(\dfrac{d}{dx} x \displaystyle \int \cos x ~dx \right) dx\\\\=x\sin x - \displaystyle \int\left( \sin x \right) dx\\ \\=x \sin x - (-\cos x) +C\\\\=x \sin x + \cos x +C[/tex]