need help with this math

There are many rules that apply to operations involving exponents. In this question, we'll need the following:

We're given:

[tex]z^{21}\div z^7=z^k[/tex] (solve for k.)

⇒ Rewrite as a fraction:

[tex]\dfrac{z^{21}}{z^7}=z^k[/tex]

⇒ Use the division rule:

[tex]z^{21-7}=z^k\\z^{14}=z^k\\14=k[/tex]

Therefore, the value of k is 14.

k = 14

The volume of the rectangular prism with length 7 yards, width 6 yards, and height 3 yards is 126 cubic yards

a three dimensional shape can be defined as a solid figure or an object or shape that has three dimensions—length, width, and height.

Given that rectangular prism with length 7 yards, width 6 yards, and height 3 yards.

We have to find the volume of the prism

Volume = length×width ×height

Plug in the values of length , width and height

Volume = 7×6×3

=126 cubic yards

Hence, the volume of the rectangular prism with length 7 yards, width 6 yards, and height 3 yards is 126 cubic yards

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Answer:

A. 126

Step-by-step explanation:

Correct on edge!

Answer:

36 units

Step-by-step explanation:

area of right angle triangle =1/2* b*h.

by counting the square,b=8 units and h=9 units

therefore,area 1/2* 8units * 9units

1/2*72units^2

36units^3

Answer:

Step-by-step explanation:

Q8.

Let h be the height of the flagpole

     x be the distance between point P and the flagpole.

8.1.

tan(53) = h/x

⇒ h = xtan(53)   (1)

On the other hand ,

tan(28) = h/(x+20)

⇒ h = (x+20)tan(28)   (2)

Let’s equate equation so (1) and (2) :

⇒ xtan(53) = (x+20)tan(28)

⇒ x = 20tan(28) ÷ (tan(53) - tan(28)) = 13.370697151775

from (1) , we have :

h = xtan(53)

  = 13.370697151775×tan(53)

  = 17.743514416718

8.2.

Area ABCD = area ABD + area BCD

area ABD = (1/2) AB AD sin(BAD)

                = (1÷2)×11×7×sin(110)

                =36.178165900258

area BCD =  (1/2) DB DC sin(BDC)

firsly , we need to calculate DB (using the law of cosines I need triangle ABD) :

DB² = AB² + AD² - 2AB AD cos(110)

      = 11^2+7^2-2×11×7×cos(110)

      = 222.671102072153

Then

DB = √(222,671102072153)

     = 14.92216814247

Going back ,

area BCD =  (1/2) DB DC sin(BDC)

                = (1÷2)× (14,92216814247)×16×sin(40)

                =76.734278333111

Conclusion :

Area ABCD = area ABD + area BCD

                   = 36.178165900258+ 76.734278333111

                   = 112.912444233369

The speed when the power is 2000watts is 22.5m/s

If the power, P (watts), of a car engine is proportional to the square of its

speed, s(m/s), this is expressed as:

P = k/s

When s=25, P=1800 then;

1800 = k/25
k = 25 * 1800
k = 4500

In order to calculate the speed when the power is 2000;

s = k/p
s= 4500/2000
s = 22.5m/s

Hence the speed when the power is 2000watts is 22.5 m/s

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9.

no

he has to put -484 to the left of the equal sign too

z + 484 -484 = 964 - 484

z = 480

10.

a.

310,000 + x = 465,000

x = 465,000 - 310,000

x = 155,000

b.

310,000x = 930,000

x = 930,000 ÷ 310,000

x = 3

The price that John would pay for the new laptop after accounting for the sales, price coupon and the sales tax is  0.72p.

After the sales price and coupon is applied, the price of the laptop would reduce.

Price after the sales price = (1 - 0.2) x p = 0.8p

Price after the coupon = (1 - 0.15) x 0.8p

0.85 x 0.8p = 0.68p

A tax increases the price of the laptop.

Price after the tax = (1 + 0.06) x 0.68p = 1.06 x 0.68p = 0.72p

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Answer:

2664.3

Step-by-step explanation:

The volume of a sphere is

V = 4/3 πr³

Multiply the radius (which is the diameter divided by 2), 8.6 by itself 3 times, and them multiply it by pi and 4/3 to achieve a volume of 2664.31 or aproximatley 2664.3.

Answer:

v=59 m3 i think if it helps please mark brainliest

Answer:

When you are reflecting a point, you are reversing its' axes. In this case, the reflection of (-6,-3) is (6,3).

Step-by-step explanation:

PLEASE MARK BRAINLESS

The transformation from the parent function f(x) to g(x) is (b) g(x) is shifted 2 units to the right and 6 units up

The equations are given as:

f(x) = x^3

g(x) = (x - 2)^3 + 6

The transformation from f(x) to g(x) can be represented as:

x -> x -2

f(x) -> f(x) + 6

This means that the function f(x) is shifted right by 2 units and shifted up by 6 units.

Hence, the transformation from the parent function f(x) to g(x) is (b) g(x) is shifted 2 units to the right and 6 units up

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Answer:

Because alkylating agents effectively sterilize materials at low temperatures but are carcinogenic and may also irritate tissue.

Step-by-step explanation:

Answer:

2400mi/1 hr is the

answer

Answer:

2400 miles / per hour

Step-by-step explanation:

40 mi                     X

______          _______________

1 minute   =      1 hr ( 60 minutes)

multiply 1 minute on bottom by 60 to get 60 minutes

so multiply the top by 60 (always do same to top and bottom)

40 mi. x 60 = 2400 miles

Answer:

17, 27, 37, 47, 57, 67, 87, 97.
8

Step-by-step explanation:

all are 2 digit numbers with exactly one 7 in each.

Answer:

8

Step-by-step explanation:

Answer:

Length = 12 ft.

Width = 8 ft.

Step-by-step explanation:

Given :

Let :

Solving :

The dimensions are :

Length = 12 ft.

Width = 8 ft.

Answer:

2,772 m^2

Step-by-step explanation:

First you would need to convert the cm to m before multiplying L times W in order to get the area. 28 x 3 is 84 and 11 x 3 is 33. Then you would multiply 84 x 33 in order to get 2,772.

Answer:

- [tex]\frac{3}{5}[/tex]

Step-by-step explanation:

Slope of the line indicate how fast ( or slow ) the line is going up or down

Count the marbles in the jar:

9 spotted ones

6 purple

10 green

25 total

a) 10/25 = 2/5

B) 19/25

C) 9/25 x 9/25 = 81/625

D) 2/5 x 6/25 = 12/125

E) 6/25 x 19/25 = 114/625

F) 6/25 x 5/24 = 1/20

G) 19/25 x 18/24 = 57/100

H) 6/25 x 14/24 = 7/50

Answer:

145

Step-by-step explanation:

you add the trucksiuts sold on monday Tuesday Wednesday and subtrct the from the total tracksuits .

Answer:

12

Step-by-step explanation:

the mode is the number you see the most

Answer:

12

Step-by-step explanation:

Mode is the number that is most repeated it can be more than one number but in your question it's only 1 number that's 12 and it has been repeated 2 times as shown

Answer:

you'll get a 75%

Step-by-step explanation:

all you have to do is

divide 679/901

and you get 0.75%

[tex]y = 3x-2\\\\~~~=3(-5) -2\\\\~~~= -15-2\\\\~~~= -17[/tex]

Answer:

y = -17

Step-by-step explanation:

Given values :

⇒ x = -5

Let's substitute in the expression to find y :

⇒ y = 3(-5) - 2

⇒ y = -15 - 2

⇒ y = -17

Answer:

[tex]m = 0.664[/tex]

Step-by-step explanation:

We were given the equation: [tex]2.1 + 10m = 8.74[/tex]and we were asked to solve for m. Therefore we have to ensure m the subject of the formula.

[tex]2.1 (-2.1) + 10m = 8.74 (-2.1) \\ \\ 10m = 8.74 - 2.1 \\ \\ 10m = 6.64 \\ \\ \frac{10}{10} m = \frac{6.64}{10} \\ \\m = 0.664[/tex]

Answer: Heyaa! :D

Your Answer Is... m= 0.664

Step-by-step explanation:

Isolate the variable by dividing each side by factors that don't contain the variable.

Hopefully this helps you!

-Matthew (HAVE AN AMAZING DAY)

Answer:

1

Step-by-step explanation:

4-3 = 1

Answer:

1

Step-by-step explanation:

4-3=1

If you had 4 lollipops and you gave your friend 3 lollipops, how many would you have? 4-3=1 You could try it out at home.

Answer: 50

Step-by-step explanation: hello the answer is 50

Answer:

[tex]\large \boxed{ \sf y=-0.3\left|x-0\right|-7}[/tex]

Explanation:

Absolute value of a graph formula:

Identify the vertex : (h, k) = (0, -7)

As the graph opens downward, take negative/fall coordinates.

Two points: (0, -7), (10, -10)

[tex]\sf Find \ slope \ (a) : \sf \ \dfrac{y_2 - y_1}{x_2- x_1} \ = \ \dfrac{-10-(-7)}{10-0} \ = -0.3[/tex]

Put them together: [tex]\bf y = -0.3|x - 0| -7 \ \ \ \approx \ \ y = -0.3|x| - 7[/tex]

Answer:

[tex]g(x)=-\dfrac{3}{10}|x|-7[/tex]

Step-by-step explanation:

Translations

For [tex]a > 0[/tex]

[tex]f(x)-a \implies f(x) \: \textsf{translated}\:a\:\textsf{units down}[/tex]

[tex]y=a\:f(x) \implies f(x) \: \textsf{stretched parallel to the y-axis by a factor of}\:a[/tex]

[tex]y=-f(x) \implies f(x) \: \textsf{reflected in the} \: x \textsf{-axis}[/tex]

-----------------------------------------------------------------------------------------

Parent function:  [tex]f(x)=|x|[/tex]

From inspection of the graph, the transformed function has been reflected in the x-axis.

[tex]\implies -f(x)=-|x|[/tex]

The vertex of the parent function is the origin (0, 0).  The vertex of the transformed function is at (0, -7).  Therefore, there has been a translation of 7 units down.

[tex]\implies -f(x)-7=-|x|-7[/tex]

From inspection of the graph, we can see that it has been stretched parallel to the y-axis:

[tex]\implies -a\:f(x)-7=-a|x|-7[/tex]

The line goes through point (10, -10)

Substituting this point into the above equation to find [tex]a[/tex]:

[tex]\implies -a|10|-7=-10[/tex]

[tex]\implies -10a=-3[/tex]

[tex]\implies a=\dfrac{3}{10}[/tex]

Therefore,

[tex]\implies g(x)=-\dfrac{3}{10}|x|-7[/tex]

The number of infected banana plants with a rate of 8% will be in 8 years is 848.

Consider the function:

y = a(1 + r)ˣ

where x is the number of times this growth/decay occurs, a = initial amount, and r = fraction by which this growth/decay occurs.

A blight is spreading on a banana plantation. Currently, 458 banana plants are infected.

If the disease is spreading at a rate of 8% each year.

Then the number of the plants that will be infected in 8 years.

Then the exponential function is given as

y = 458(1.08)ˣ

At x = 8, then we have

y = 458(1.08)⁸

y = 458 x 1.851

y = 847.73

y ≅ 848

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C. Formula

Explanation:

In Calc, a mathematical equation is called a Formula.

Answer:

x = 14

Step-by-step explanation:

3(x + 1) = 45

3*x + 3*1 = 45    {Distributive property used: a*(b+c) =(a*b) +(a*c)}

3x + 3    = 45

   Subtract 3 from both sides

         3x = 45 - 3

         3x = 42    

Divide both sides by 3

          x  = 42/3

               [tex]\sf \boxed{\bf x = 14}[/tex]

Answer:

Step-by-step explanation:

(-1, 1)  (1, -3)

(-3 - 1)/(1 + 1)= -4/2 = -2

y - 1 = -2(x + 1)

y - 1 = -2x - 2

y = -2x - 1

answer is A