what is (6)^-3×(6)^-3 using law of exponent?​

Answer:

Area = x² + 8x + 7

Step-by-step explanation:

Area of a rectangle formula = L * W

Length (L) of the given figure = (x + 7)

Width (W) of the given figure = (x + 1)

Area = L * W

Area = (x + 7) * (x + 1)

=> x * x = x²

=> x * 1 = 1x or x

=> 7 * x = 7x

=> 7 * 1 = 7

Combining it all together;

Area = x² + 1x + 7x + 7

Combine the like terms:

Area = x² + 8x + 7

Hope this helps!

The area of the entire rectangle in the polynomial form will be x² + 8x + 7.

Let W be the rectangle's width and L its length. The area of the rectangle is the multiplication of the two different sides of the rectangle. Then the rectangle's area will be given as,

Area of the rectangle = L × W square units

The dimensions of the big rectangle are x + 1 high and x + 7 long. Then the area of the rectangle is calculated as,

A = (x + 7)(x + 1)

Simplify the equation, then we have

A = (x + 7)(x + 1)

A = x² + 7x + x + 7

A = x² + 8x + 7

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Answer:

the answer is 2,046...

∑ of 6(4)ⁿ⁻¹ from n= 1 to 5 is   2046

The sum of an infinite number of terms that are in constant ratios.

From the given data

∑ of 6(4)ⁿ⁻¹ from n= 1 to 5 is                                     (here k is replaced with

                                                                                                                 n)                                              

6(4)ⁿ⁻¹ for n=1 is

=6(4)¹⁻¹

=6(4)⁰

= 1

6(4)ⁿ⁻¹ for n=2 is

=6(4)²⁻¹

=6(4)¹

=24

6(4)ⁿ⁻¹ for n=3 is

=6(4)³⁻¹

=6(4)²

=6(16)

=96

6(4)ⁿ⁻¹ for n=4 is

=6(4)⁴⁻¹

=6(4)³

=6(64)

384

6(4)ⁿ⁻¹ for n=5 is

=6(4)⁵⁻¹

=6(4)⁴

=6(256)

=1536

∴∑ of 6(4)ⁿ⁻¹ from n= 1 to 5 is    

6 + 24 + 96 + 384 + 1536

=2046

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a) 5 m

b) 8 yd

Step-by-step explanation:

a) Take the ratios of the legs of the triangles. Since they are similar triangles, those ratios are equal.

d/(4 m) = (10m)/(8 m)

Solving for d,

d =(10/8)(4 m) = 5 m

b) m/(10 yd) = (12 yd)/(10 yd + 5 yd) = 12/15 = 4/5

Solving for m,

m = (4/5)(10 yd)

= 8 yd

Answer:

d = 5m

m = 6yd

Step-by-step explanation:

Question 1.)

We know that segment GF is half of CD, therefore EF would be half of CE.

=> CE / 2 = EF or d

=> 10 / 2 = EF or d

=> 5 = EF or d

Question 2.)

We know that segment DE is half of EF, so segment EG would be half of DH;

=> DH / 2 = EG or m

=> 12 / 2 = EG or m

=> 6 = EG or m

Hope this helps!

Step-by-step explanation:

length of each rectangle= 9 1/14=127/14

breadth of each rectangle=5=4 1/2= 9/2

so perimeter of 1 rectangle= 2(l+r)

=2(127/14+ 9/2)

=2(127+63)/14

=2×190/14

=190/7

=27.14 feet

so total length of fencing= 4×27.14

=108.57 feet

hope you understand the solution and good luck!!

Answer:

51 sq units

Step-by-step explanation:

after plotting the vertices, the height of the triangle is 6 and the base is 17

A = 1/2(6)(17)

A = 51 sq units

Answer:

im pretty sure its -14

Step-by-step explanation

Answer:

s= -17/12

17/12

Step-by-step explanation:

-5s - 14 = 7s +3

−5−14=7+3

-5s-14=7s+3

−5s−14=7s+3

−5−14+14=7+3+14

−5=7+17

-5s=7s+17

−5s=7s+17

−5−7=7+17−7

[tex]s=-\frac{17}{12}[/tex]

Answer:

1) ∠M

2) MT, GT

3) ∠G

4) not enough information...because we are given two congruent sides but an angle that is not included.

5) SAS because two sides are congruent (including the one they share) and an included angle.

6) SSS because three sides are congruent (including the one they share).

The answer is: 15 ft

Answer:

(12, 0)

Step-by-step explanation:

The centre of the circle is at (4, 0) and the radius = √64 = 8.

So one point on the circle is at ((4 + 8), 0) = (12,0).

9514 1404 393

Answer:

  D.  -1/6

Step-by-step explanation:

Your calculator can tell you the answer to this.

  [tex]-\dfrac{1}{2}+\left(\dfrac{3}{4}\cdot\dfrac{4}{9}\right)=-1/2+\dfrac{4\cdot3}{4\cdot9}=-\dfrac{1}{2}+\dfrac{3}{9}\\\\=-\dfrac{1}{2}+\dfrac{1}{3}=-\dfrac{3}{6}+\dfrac{2}{6}=\boxed{-\dfrac{1}{6}}[/tex]

Answer:

step 3 didn't divide by 2

Step-by-step explanation:

in step

[tex] \frac{ - 8 + \sqrt{100} }{2} = \frac{ - 8 + 10}{2} = 1 \\ \frac{ - 8 - \sqrt{100} }{2} = \frac{ - 8 - 10}{2} = - 9[/tex]

Answer:

Independent.

Step-by-step explanation:

Independent events:

Two events, A and B, are said to be independent if the probability of both happening is the same as the multiplication of the probabilities of each happening, that is:

[tex]P(A \cap B) = P(A)P(B)[/tex]

Thus, P(A and B)=P(A)•P(B) is used when two events are independent.

Answer:

2k + 4

Step-by-step explanation:

David,

Start by performing the indicated multiplication:

5(k+2)-3(k+2) becomes 5k + 10 - 3k - 6.

Next, combine like terms:  5k - 3k + 10 - 6 becomes 2k + 4

This 2k + 4 is the desired simpler result.

Answer:

[tex]A) \displaystyle g(x) = 4 {x}^{2} + 2[/tex]

Step-by-step explanation:

recall that,

[tex] \displaystyle \rm Q _{ \text{standard}} :g(x) = {ax}^{2} + bx + c[/tex]

remember that,

since the Parabola squashes inwards we assume a=4

we know that,

as the Parabola goes upwards by 2 units we assume c is 2

hence,

our best answer choice is a

Answer:

number 2 is your answer for your problem

Answer:

the formula for a cylinder is πr^2•h

Step-by-step explanation:

just plug in the numbers, and you can change π to 3.14 for an approximate answer!

hopefully this helps you!

[tex]\pi {r}^{2} h \\ 22 \div 7 \times {r}^{2} h[/tex]

Answer:

100 pi cm^2

or approximately 314 cm^2

Step-by-step explanation:

The surface area of a sphere is given by

SA = 4 pi r^2

The radius is 5

SA = 4 *pi * 5^2

SA = 4*pi(25

SA = 100 pi cm^2

If pi is 3.14

SA = 100 *3.14 = 314 cm^2

[tex]\large\fbox{\underline{Surfαcє αrєα σf sphєrє ís 314 cm ².}}[/tex]

☞ Rαdíus σf sphєrє = 5 cm

☞ Surfαcє αrєα σf sphєrє

☞ Surfαcє αrєα σf sphєrє = 4 π r ²

usíng thє fσrmulα

surfαcє αrєα σf sphєrє = 4 π r ²

suвstítutє thє vαluєs

surfαcє αrєα σf sphєrє = 4 × 3.14 × ( 5×5 ) cm ²

mutíplчíng thє vαluєs

surfαcє αrєα σf sphєrє = 100 cm² × 3.14

Hєncє , Surfαcє αrєα σf sphєrє ís 314cm ².

Answer:

1 no

angle 1 =53 degree (being vertically opposite angle)

angle 2=127 degree(being linear piar)

angle 3 =127 degree(being vertically opposite angles)

2 no

angle 1=155.1(being linear pair)

angle 2=24.9(being vertically opposite angles)

angle 3=155.1(beinf linear pair)

3 no

angle 1=68 degree(being linear pair)

angle 2=112 degree(being vertically opposite angle)

angle 3=68 degree(being vertically opposite angle)

4 no

angle 1=54.5 degree(being linear pair)

angle 2=125.5 degree(being vertically opposite angle)

angle 3=54.5 degree(being vertically oppostie angle)

Step-by-step explanation:

Answer:

D. 3900π

Step-by-step explanation:

volume = 1/3 πr²h   ... r = 30,  h = 13

v = 1/3 * 30² * 13 * π = 3900π

Answer:

i think because it's powered by 4

Answer:

m=1

Step-by-step explanation:

Slope is equal to the change in y over the change in x, or rise over run.

m=change in y / change in x

[tex]m=\frac{y_{2} -y_{1} }{x_{2}-x_{1} } \\m=\frac{-3-1}{-3-1}[/tex]

Answer:

104 softballs

Step-by-step explanation:

26 x 4 = 104

Answer:11.50

Step-by-step explanation:

Answer:

The relative cumulative frequency of students who earned a score of 20 or lower on the quiz is 76%

Step-by-step explanation:

Complete question

Please find the attachment

Solution

The frequency distribution is as follows

Interval Frequency Cumulative Frequency Relative Cumulative Frequency

1 to 5 8 8 0.16

6 to 11 8 16 0.32

11 to 15 13 29 0.58

16 to 20 9 38 0.76

21 to 25 3 41 0.82

26 to 30 4 45 0.9

31 to 35 3 48 0.96

36 to 40 2 50 1

The relative cumulative frequency of students who earned a score of 20 or lower on the quiz is 76%

The relative cumulative frequency of students who earned a score of 20 or lower on the quiz is 0.68.

From the given figure (image 1)

The cumulative frequency of students who earned a score of 20 or lower on the quiz is = 4+8+15+7=34.

Total frequency is = 4+8+15+7+7+3+4+2=50.

So the relative cumulative frequency is = 34/50 = 0.68 = 68%

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[tex]\huge\bold{Given :}[/tex]

Angle 1 = 40°

Angle 2 = x°

Angle 3 = ( x + 28 )°

[tex]\huge\bold{To\:find :}[/tex]

The value of x.

[tex]\large\mathfrak{{\pmb{\underline{\orange{Solution}}{\orange{:}}}}}[/tex]

[tex]{\boxed{\mathcal{\purple{The\:value\:of\: x \:is\:56 ° .\:}}}}[/tex]✅

[tex]\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\orange{:}}}}}[/tex]

We know that,

[tex]\sf\pink{Sum\:of\:angles\:of\:a\:triangle\:=\:180°}[/tex]

➪ ∠ 1 + ∠ 2 + ∠ 3 = 180°

➪ 40 + x° + x° + 28° = 180°

➪ 2x° + 68° = 180°

➪ 2x° = 180° - 68°

➪ x° = [tex] \frac{112° }{2} [/tex]

➪ x° = 56°

[tex]\sf\red{Therefore, \:the\: value \:of \:x\: is \:56°.}[/tex]

[tex]\large\mathfrak{{\pmb{\underline{\blue{To\:verify}}{\blue{:}}}}}[/tex]

∠ 1 + ∠ 2 + ∠ 3 = 180°

✒ 40° + 56° + 56° + 28° = 180°

✒ 180° = 180°

✒ L. H. S. = R. H. S.

[tex]\boxed{Hence\:verified.}[/tex]

[tex]\bold{ \green{ \star{ \orange{Hope\:it\:helps.}}}}⋆[/tex]

Answer: d

Step-by-step explanation:

Answer:

the answer would be 128cm³

Step-by-step explanation:

have a great rest of ur day

Answer:

96cm

Step-by-step explanation:

Answer:

The answer is 24

Step-by-step explanation:

Answer:

no triangle given try to use a = 1/2(b x h) for the area

Step-by-step explanation: