geomtry plz help 15 points

We can work with the exponents to simplify our expression, and we will get:

[tex]\sqrt[n]{x^{3n}} = x^3[/tex]

Remember that a root of degree n is equivalent to an exponent of 1/n.

This means that we can rewrite a root of degree n as:

[tex]\sqrt[n]{x} = x^{1/n}[/tex]

Then our expression:

[tex]\sqrt[n]{x^{3n}}[/tex]

Can be rewritten as follows.

[tex]\sqrt[n]{x^{3n}} = (x^{3n}})^{1/n}[/tex]

Now we have the exponent of an exponent, that means that we just need to take the product between the two exponents.

Now we can take the product of the exponents to get.

[tex]\sqrt[n]{x^{3n}} = (x^{3n}})^{1/n} = x^{3n*1/n} = x^3[/tex]

You can see that in the third step the exponents n and 1/n cancell eachother, so we end only with the exponent 3.

That is the expression simplified.

Learn more about exponents at:

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Answer:

bradley is 50 and madison is 23

Step-by-step explanation:

m + 27 = b

(b - 7) + (m - 7) = 59

[(m + 27) - 7] + (m - 7) = 59

m + 20 + m -7 = 59

2m + 13 = 59

2m = 46

m = 23, b = 23 + 27 = 50

Answer:

Measure of Angle B = 25°

Step-by-step explanation:

Something to keep in mind: Angle A and B are Vertical Angles so they will always be equal

so;

Angle A = Angle B

(4x + 5) = (-2(x - 17.5))

4x + 5 = -2x + 35   (<= Solved by distributive property)

6x + 5 = 35

6x = 30

x = 5

Now we can find the measure of Angle B, by substituting x by 5 in the B equation;

-2 (x - 17.5) = Angle B

-2 (5 - 17.5) = Angle

-2 (-12.5) = Angel B

25 = Angle B

so measure of angle B = 25

Hope this helps!

Answer:

what answer

Step-by-step explanation:

?????????????

After how many minutes will the two pools have the same amount of water? 36 min.

How much water will be in each pool when they have the same amount? 2638 liters.

Explanation:

y=1900+20.5x

y=1351+35.75x

Let the time be t

[tex]\\ \sf\longmapsto 1900(1+\dfrac{20.5}{100})^t=1351(1+\dfrac{35.75}{100})^t[/tex]

[tex]\\ \sf\longmapsto 1900(\dfrac{120.5}{100})^t=1351(\dfrac{135.75}{100})^t[/tex]

[tex]\\ \sf\longmapsto 1900(1.2)^t=1351(1.35)^t[/tex]

[tex]\\ \sf\longmapsto \dfrac{1900}{1351}=\left(\dfrac{1.35}{1.2}\right)^t[/tex]

[tex]\\ \sf\longmapsto 1.4=(1.125)^t[/tex]

[tex]\\ \sf\longmapsto (1.125)^2.9=(1.125)^t[/tex]

[tex]\\ \sf\longmapsto t=2.9h[/tex]

Answer:

[tex]-6\leq x\leq 6[/tex]

Step-by-step explanation:

This is answer for the last question.

Answer:

y = 4

Step-by-step explanation:

3^3 + 14y - (25y - 13) = y + 7y - 9y

Exponents first.

27 + 14y - (25y - 13) = y + 7y - 9y

Distribute the negative sign from the parenthesis.

27 + 14y - 25y + 13 = y + 7y - 9y

Common terms.

27 + 13 = 40

14y - 25y = -11y

y + 7y - 9y = -y

40 - 11y = -y

Add 11 to both sides.

40 = 10y

Divide both sides by 10.

4 = y

Rearrange.

y = 4.

Answer:

14

Step-by-step explanation:

(4+(16-1)/5)*2

(4+15/5)*2

(4+3)*2

7*2

14

Answer:

Step-by-step explanation:

First get the (m) which is the gradient by using the formula y2-y1/x2-x1

Pick any random 2 values from the table. I will pick. (1,4) (2,8)

Y2=8  Y1=4   X2=2  X1=1

8-4/2-1    4/1  = 4

Y=4x+c

The kite is a quadrilateral that has two pairs of equal adjacent sides and

one of equal opposite angles.

5. The two column proof is presented as follows;

Statement [tex]{}[/tex]                            Reason

[tex]\overline{AB}[/tex] = [tex]\overline{BC}[/tex]     [tex]{}[/tex]                           Given

[tex]\overline{AB}[/tex] ≅ [tex]\overline{BC}[/tex]     [tex]{}[/tex]                          Definition of congruency

[tex]\overline{AD}[/tex] = [tex]\overline{CD}[/tex]     [tex]{}[/tex]                           Given

[tex]\overline{AD}[/tex] ≅ [tex]\overline{CD}[/tex]     [tex]{}[/tex]                          Definition of congruency

[tex]\overline{BD}[/tex] ≅ [tex]\overline{BD}[/tex]     [tex]{}[/tex]                          By reflexive property

ΔABD ≅ ΔBDC    [tex]{}[/tex]                   By Side-Side-Side, SSS congruency postulate

∠ABC = ∠ABD + ∠CBD      [tex]{}[/tex]    Angle addition postulate

∠ABD ≅ ∠CBD     [tex]{}[/tex]                  CPCTC

∠ABD = ∠CBD     [tex]{}[/tex]                   Definition of congruency

[tex]\overline{BD}[/tex] is a bisector of  ∠ABC    [tex]{}[/tex] Definition of angle bisector

∠ADC = ∠ABD + ∠CBD      [tex]{}[/tex]     Angle addition postulate

∠ABD ≅ ∠CBD     [tex]{}[/tex]                  CPCTC

∠ABD = ∠CBD     [tex]{}[/tex]                   Definition of congruency

Therefore;

[tex]\overline{BD}[/tex] is a bisector of ∠ADC     [tex]{}[/tex] Definition of angle bisector

CPCTC is the acronym for Congruent Parts of Congruent Triangles are Congruent

6. The two column proof is presented as follows;

Statement [tex]{}[/tex]                          Reason

∠ABD ≅ ∠CBD  [tex]{}[/tex]           CPCTC (question 5)

[tex]\overline{AB}[/tex] = [tex]\overline{BC}[/tex]     [tex]{}[/tex]                  Given

[tex]\overline{BM}[/tex] ≅ [tex]\overline{BM}[/tex]      [tex]{}[/tex]              Reflexive property

ΔABM ≅ ΔCBM      [tex]{}[/tex]      According to Side-Angle-Side, SAS congruency rule

[tex]\overline{AM}[/tex] ≅ [tex]\overline{CM}[/tex]      [tex]{}[/tex]               CPCTC

[tex]\overline{AM}[/tex] = [tex]\overline{CM}[/tex]    [tex]{}[/tex]                  Definition of congruency

[tex]\overline{AC}[/tex] = [tex]\overline{AM}[/tex] + [tex]\overline{CM}[/tex]    [tex]{}[/tex]        Segment addition postulate

[tex]\overline{AC}[/tex] = [tex]\overline{AM}[/tex] + [tex]\overline{AM}[/tex] =  2·[tex]\overline{AM}[/tex] [tex]{}[/tex] Substitution property of equality

[tex]\overline{AM}[/tex] = 0.5·[tex]\overline{AC}[/tex]    [tex]{}[/tex]        Division property of equality

M divides [tex]\overline{AC}[/tex] to two   [tex]{}[/tex]  Definition

M is midpoint of [tex]\overline{AC}[/tex]   [tex]{}[/tex]   Definition of midpoint

Learn more here:

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[tex]10(-7y-2z) +4z -2(-8z+6y)\\\\=-70y -20z +4z +16z - 12y\\\\=-82y -4z+4z \\\\=-82y[/tex]

Answer:

Weight On the Moon: 41.34 kilograms

Step-by-step explanation:

Answer:

315

Step-by-step explanation:

Answer:

11

Step-by-step explanation:

the first 2 before it splits to 30mins is 9 and 2 so the answer by addition is 11 hope this helps

The statements which is not true about the expression given is; It has a leading term of 5.

According to the question;

Since it is an expression; all other statements can be assumed true except; It has a leading term of 5; in which case the leading term is; -5x³

As such, the statements which are not true is;

Read more:

https://brainly.com/question/11386252

Answer:

The answer is the following:

r≈5.64in

Answer:

5.641

Step-by-step explanation:

If you think about it, the formula for getting the area of a circle is:

[tex]a = \pi r^2[/tex]

So to rearrange and make r the subject, divide both sides of the equation by pi:

[tex]\frac{a}{\pi} = \frac{\pi r^2}{\pi}[/tex]

[tex]\frac{a}{\pi} = r^2[/tex]

Now square root both sides to find r:

[tex]\sqrt{\frac{a}{\pi} } = \sqrt{r^{2} }\\\sqrt{\frac{a}{\pi} } = r[/tex]

Plug the known area value in:

[tex]\sqrt{\frac{100}{\pi} } = r[/tex]

= 5.641

Hope this helps!

Answer:

$12

Step-by-step explanation:

Using simple interest, it is found that the principal loan amount was of $156,491.6.

The amount of money after t years in simple interest is modeled by:

[tex]A(t) = A(0)(1 + rt)[/tex]

In which:

In this problem, she paid $984 monthly for 22 years, hence:

[tex]t = 22, A(t) = 984(22)(12) = 259776[/tex]

Interest rate of 3%, hence [tex]r = 0.03[/tex]

Then:

[tex]A(t) = A(0)(1 + rt)[/tex]

[tex]259776 = A(0)[1 + 0.03(22)][/tex]

[tex]A(0) = \frac{259776}{1 + 0.03(22)}[/tex]

[tex]A(0) = 156491.6[/tex]

The principal loan amount was of $156,491.6.

A similar problem is given at https://brainly.com/question/13176347

Answer:

372

Step-by-step explanation:

1 sec=31 feet

10 sec=310 feet

12 sec=372 feet

25% increase.

Explanation: 25% of $40 is $10. You add $10 to $40 you get $50.

Answer:

Step-by-step explanation:

21x1/12=1.75 cm

1.75x10=17.55 mm

17.55 mm

Answer:

14

Step-by-step explanation:

(4+(16-1)/5)*2

(4+15/5)*2

(4+3)*2

7*2

14

Answer:

A woman wants to measure the height of a nearby building. She places a 7 ft pole in the shadow of the building so that the shadow of the pole is exactly covered by the shadow of the building. The total length of the building's shadow is 184 ft, and the pole casts a shadow that is 5.5ft long. How tall is the building? Round your answer to the nearest foot. (The figure is not drawn to scale.)

Step-by-step explanation:

A woman wants to measure the height of a nearby building. She places a 7 ft pole in the shadow of the building so that the shadow of the pole is exactly covered by the shadow of the building. The total length of the building's shadow is 184 ft, and the pole casts a shadow that is 5.5ft long. How tall is the building? Round your answer to the nearest foot. (The figure is not drawn to scale.)A woman wants to measure the height of a nearby building. She places a 7 ft pole in the shadow of the building so that the shadow of the pole is exactly covered by the shadow of the building. The total length of the building's shadow is 184 ft, and the pole casts a shadow that is 5.5ft long. How tall is the building? Round your answer to the nearest foot. (The figure is not drawn to scale.)

Answer:

256.25

Step-by-step explanation:

$10.25 not taxed x 25