Evaluate the expression below for p = - 2 and q = 3
(p^2q) ^3

Answer:

[tex]h=6\\k=2.5\\n=3\sqrt{10}\\m=\sqrt{21}\\p=\sqrt{17}[/tex]

Step-by-step explanation:

All of the triangles in this problem are right triangles. This means that all of them contain a right angle, this is indicated by the box around one of the angles. The Pythagorean theorem is a property of the sides of a right triangle, this property, in the form of an equation, is as follows,

[tex]a^2+b^2=c^2[/tex]

Where (a) and (b) are the legs, that is, the sides that are adjacent to the right angle of a right triangle. The parameter (c) represents the hypotenuse, the side opposite the right angle of a right triangle. For each triangle, substitute the given side lengths, simplify, and solve for the unknown side.

[tex](h)^2+(8)^2=(10)^2\\h^2+64 = 100\\h^2=36\\h=6[/tex]

[tex](k)^2+(6)^2=(6.5)^2\\k^2+36=42.25\\k^2=6.25\\k=2.5[/tex]

[tex](n)^2+(\sqrt{10})^2=(10)^2\\n^2+10=100\\n^2=90\\n=\sqrt{90}\\n=3\sqrt{10}[/tex]

[tex](m)^2+(2)^2=(5)^2\\m^2+4=25\\m^2=21\\m=\sqrt{21}[/tex]

[tex](p)^2+(\sqrt{68})^2=(\sqrt{85})^2\\p^2+68=85\\p^2=17\\p=\sqrt{17}[/tex]

Answer:

It is a proportional relationship. 1 step/2.5 Feet.

Step-by-step explanation:

First of all, you need to find out what a single step equals to feet.

If 6 steps is 15 feet, and 8 is 20, then 2.5 feet is the transition of proportional relationship. (15, 17.5, 20)

This means that the proportional relation ship is that every 1 step is equal to 2.5 feet.

Answer:

i really dont know

Step-by-step explanation:

Answer:

(x-1)³+1

is correct option

Answer:

x = -3

Step-by-step explanation:

Answer:

Step-by-step explanation:

No relationship i belive

Answer:

Step-by-step explanation:

It's 6

Answer:

Step-by-step explanation:

Remark

The law of chord intersection is that each chord from one point on the circumference to the intersect point when multiplied by the left over amount of the chord = the same thing done to the other chord. It's easier to understand the formula used to solve this problem than it is to work through the definition.

Equation

x*4 = 14 * 2

Explanation

Take x from the chord's end on the circumference to the intersect point and four's length from the intersect point to the circumference. Multiply them

Do the same thing with the other chord.

Solution

4x = 28          Divide by 4

x = 28/4

x = 7

Answer:

8

Step-by-step explanation:

Answer:

8.63

Step-by-step explanation:

It ends in a one and it has to end in the 100ths place sooo.... yeah

Hope this helps!

Answer:

welp good luck ha

Step-by-step explanation:

Answer:

It's D on Edge 2021

I did the assignment

The polynomial that is factored completely is one that can not be factored again is 2g² + 5g + 4. Therefore, option D is the correct answer.

Factorisation of a polynomial is the decomposition of a polynomial into smaller polynomials.

Thus, the polynomial that is factored in completely is the polynomial that can not be decomposed again.

Now,

g⁵ - g = g(g⁴ - 1) (it can be factored)

4g³ + 18g² + 20g = 2g(g + 2)(2g + 5)

24g² - 6g⁴ = 6g²(4g² + g²)

2g² + 5g + 4 cannot be factored again. It is already factored completely

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Answer:

m= - 3/2

c=1/2

Step-by-step explanation:

y=mx+c (formula for finding slope)

y= -3x/2+1/2

m= - 3/2

c=1/2

Answer:

18 students.

Step-by-step explanation:

3/5ths of 30 is 18.

Answer:

The tile feels colder because it's a heat conductor and moves heat rapidly away from your skin which is much warmer than the air temperature. The rug is a heat insulator. The rug slows down the flow of the heat which makes it feel warmer.

Step-by-step explanation:

Answer:

option 1

Step-by-step explanation:

Sum of 8 and 7 = 8 + 7

14 times sum of 8 and 7 = 14 x (8 + 7)

Divided by 6 = 14 × (8 + 7) ÷ 6

Answer:

1.) 14 × ( 8 + 7 ) ÷ 6

Step-by-step explanation:

Sum of 8 and 7 = 8 + 7

14 times of sum of 8 and 7 = 14 × ( 8 + 7 )

And it Divided by 6 = 14 × ( 8 + 7 ) ÷ 6

Answer:

fridge. door. cabinet. Each line goes from bottom right to top left

Step-by-step explanation:

Answer:

2y=-2x

Step-by-step explanation:

2y=4-6x

2y=-2x

y=-1

Answer:

$ 7.29

Step-by-step explanation:

bill = $40.50

tip = 18%

tip amount = tip% of bill

=18/100 * $40.50

=729/100

=$ 7.29

Answer:

7.29 DOLLARS IS THE ANSWER

Answer:  2(x+3)^2 - 1

To shift the f(x) function 3 units to the left, the xy axis must move 3 units to the right. This effectively means each x input is 3 units larger than before. That's why we replace every x with x+3.

Answer:

-3, -1, 2 i belive sorry if I'm wrong

Answer:

hope it will help u......................

The function R(x) - S(x) is [tex]3x^{3} -2x^{2} +x-1[/tex].

An expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable) is called function.

According to the given question.

We have two functions

[tex]R(x) = 3x^{3} +2x^{2} +x[/tex]

And, [tex]S(x) = 4x^{2} + 1[/tex]

Therefore, the function   R(x) - S(x) is given by

[tex]R(x) - S(x) = 3x^{3} +2x^{2} +x-(4x^{2} +1)[/tex]

[tex]\implies R(x) - S(x) = 3x^{3} +2x^{2} +x - 4x^{2} -1[/tex]

[tex]\implies R(x) - S(x) = 3x^{3} -2x^{2} +x-1[/tex]

Hence, function R(x) - S(x) is [tex]3x^{3} -2x^{2} +x-1[/tex].

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Answer:

Perimeter = 30 units

m<BCD = 53°

Step-by-step explanation:

Recall: in any parallelogram, consecutive angles are supplementary. Also, the pairs of parallel sides are equal in length.

We would use this knowledge to solve the problem given.

m<ABC = 127° (given)

BC = 10 units

AB = 5 units

✔️Perimeter of the parallelogram = AB + BC + CD + AD

AB = CD = 5 units (pair of parallel sides)

BC = AD = 10 units (pair of parallel sides)

Perimeter = 5 + 10 + 5 + 10

Perimeter = 30 units

✔️m<BCD = 180° - m<ABC (consecutive angles are supplementary)

m<BCD = 180° - 127° (Substitution)

m<BCD = 53°

Answer:

Lily has 63 points and Nala has 49.

Step-by-step explanation:

Since Nala and Lily are playing a dice game where they score points, and after one round, the ratio of Nala's points to Lily's points is 7 to 9, if Nala has 14 more points than Lily, to determine how many points Lily has se you must perform the following calculation:

9 - 7 = 2

14/2 = 7

7 x 7 = 49

7 x 9 = 63

63 - 49 = 14

Therefore, Lily has 63 points and Nala has 49.

Polynomial 1 : x²-x²+4x -2+1 = 4x -1

Polynomial 2 : 3x-x-2x²-2+1 = -2x²+2x-1

Polynomial 3 : 4 -2x+x-x²+x²-x² = -x²-x+4

According to the question,

Polynomial 1+Polynomial2+Polynomial3 + Polynomial4 = 6x

=> 4x -1+ (-2x²+2x-1) +(-x²-x+4) + Polynomial4= 6x

=> -3x²-x+2+Polynomial4= 0

OPTION B

Answer:

B

Step-by-step explanation:

Objective: Advanced Algebra Thinking with Polynomials.

Convert the diagram into a polynomial using the Legend.

Then add the fourth polynomial to get 6x.

The first polynomial is

[tex]4x - 1[/tex]

The next is

[tex] - 2x {}^{2} + 2x - 1[/tex]

The third is

[tex] - {x}^{2} - x + 4[/tex]

Add all the expressions.

[tex] - 3 {x}^{2} + 5x + 2[/tex]

Set this equations equal 6x, let y represent the 4th polynomial.

[tex] - 3 {x}^{2} + 5x + 2 + y = 6x[/tex]

[tex] - 3 {x}^{2} + 2 + y = x[/tex]

[tex] - 3 {x}^{2} +y = x - 2[/tex]

[tex]y = 3 {x}^{2} + x - 2[/tex]

Answer:

40

Step-by-step explanation:

The serving sizes, [tex]x[/tex], of 20, 80, and 120 have a required amount of meat in pounds, [tex]y[/tex], of [tex]y=\frac{1}{10}x[/tex] (the number of pounds of meat is equal to 1/10th the serving size)

However, for the row with a serving size of 40, the number of pounds of meat is equal to [tex]\frac{6}{40}=\frac{3}{20}[/tex] the serving size. Therefore, the serving size of 40 has a different ratio of serving size to pounds of meat than the other ratios.

Answer:

hi the right answer is option C.112

here's why:

[tex] \frac{14}{50} \times 400 = 112[/tex]

Answer:

72,96

Step-by-step explanation:

Multiple's of 4 starting above 50 to 101

52, 56, 60, 64, 68, 72, 76, 80,84,88,92,96,100

Multiple's of 8 starting above 50 to 101

56, 64, 72, 80, 88, 96,

Multiple's of 12 starting above 50 to 101

60, 72, 84, 96,

See which numbers are in all three lists

72,96