Which expressions are equivalent to 4^-2 x 7^-2

Answers

Answer 1

Answer:

[tex]\frac{1}{784}[/tex]

Step-by-step explanation:

4⁻² * 7⁻²

Use the Negative Exponent Property: x⁻ⁿ = [tex]\frac{1}{x^n}[/tex]

[tex]4^{-2}*7^{-2}\\\\ \frac{1}{4^2}*\frac{1}{7^2}\\\\ \frac{1}{16}*\frac{1}{49}\\\\ \frac{1}{784}[/tex]

Hope this helps!


Related Questions

The blue dot is at what value on the number line? -3 -1

Answers

Answer:

+2

Step-by-step explanation:

pls help me to answer this​

Answers

Answers:

T-shirt = $25

Shorts = $15

Books = $50

Shoes = $30

Cell phones = $750

===============================================

Explanation:

Taking 10% of a number is simply moving the decimal point over one spot to the left.

For example, the selling price of a t-shirt is $250.00 and taking 10% of this gets us to $25.00

As another example, 10% of 150.0 is 15.0

If a whole number ends with a 0, then taking 10% of the number means we chop that zero off.

HELPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPP

Answers

Answer:

mode = 6

range = 7

Step-by-step explanation:

To easily find the mode, put the numbers in order from least to greatest and count how many times each number occurs. The number that occurs the most is the mode!

The range is the difference between the smallest and highest numbers in a list or set. To find the range, first put all the numbers in order. Then subtract (take away) the lowest number from the highest. The answer gives you the range of the list.

Last week, Riley worked 7.5 hours per day for 3 days and earned a total of $306.45.

What was Riley's hourly rate of pay last week?

Answers

Answer:

13,62$

Step-by-step explanation:

The total hours Riley worked last week: 7.5*3= 22.5 (hours)

Riley's hourly rate of pay: 306.45/ 22.5= 13.62$

7.5 x 3 = 22.5

306.45 / 22.5 = 13.62

which one is the missing symbol.
4/5 ? 1/2
A. >
B. <
C. =

Answers

Answer:

[tex] \frac{4}{5} > \frac{1}{2} [/tex]

Step-by-step explanation:

[tex] \frac{4}{5} = 0.8[/tex]

[tex] \frac{1}{2 } = 0.5[/tex]

The answer is C. 4/5>1/2

How a find the value of y in y = x-7?

Answers

Answer:

7

Step-by-step explanation:

Accurate information

Steve travels from NYC to Boston at 90 mph
and returns to NYC at 60 mph taking 6 hours
total for the round-trip without stopping. What is
the distance between NYC and Boston?
(A) 192 mi.
(B) 208 mi.
(C) 216 mi.
(D) 224 mi.
(E) 272 mi.

Answers

Answer:

C

Step-by-step explanation:

d / rate = time

d / 90  + d/60  = 6 hours

(2d+ 3d)/180 = 6

5d = 1080

d = 216 miles

The distance from NYC to Boston is 216 miles.

We have a guy named Steve travels from NYC to Boston at 90 mph and returns to NYC at 60 mph taking 6 hours total for the round-trip without stopping.

We have to determine distance between NYC and Boston.

What is the formula to calculate the distance travelled by the body moving with speed ' v mph '  for  ' t hours '.

The distance covered by the body will be -

d = v x t

According to question, we have -

Assume that the distance travelled by Steve from NYC to Boston be x.

Then, total distance covered for the round trip = 2x.

From NYC to Boston -

Suppose that in going from NYC to Boston, Steve takes t hours. Then

x =  90 x t            (1)

From Boston to NYC -

Steve will take (6 - t) hours to travel the distance. Then -

x = 60 x (6 - t)         (2)

Now, Equating the equations (1) and (2), we get -

90 x t = 60 x (6 - t)

1.5t = 6 - t

1.5t + t = 6

2.5 t = 6

t = [tex]\frac{12}{5}[/tex] = 2.4 hours

Therefore -

x = 90 x 2.4 = 216 miles

Hence, the distance from NYC to Boston is 216 miles.

To solve more questions on Speed, time and Distance visit the link below -

https://brainly.com/question/24999473

#SPJ2

A box is 24 inches long, 36 inches wide,
and 48 inches tall. What is the volume
of the box in cubic feet?
A. 3456 ft3
B. 288 ft3
C. 144 ft3
D. 24 ft

Answers

Volume = the product of the three dimensions
So, 24 x 36 x 48 = 41472 (CALCULATED IN INCHES).

In (cubic) feet, 41472 : 12 = 3456 (ft3) [A.]

A travelling wave is given by the equation y = 0.03 Sin (2.2 x - 3.5t) where y and x are in metres and t is in seconds. Find the amplitude, the wayelength, the frequency, the period and the speed of the wave.​

Answers

Answer:

Amplitude 0.03m, wavelength 2.86m, frequency 0.57Hz, period 1.8s

Step-by-step explanation:

The traveling wave is described with the following equation:

[tex]y=Asin(kx-wt)[/tex]

y=0.03sin(2.2x−3.5t)

A=0.03m

λ=2π/k=2π/2.2≈2.86m

T=1/f≈1.8s

100 POINTS
A raft was sent away from point A downstream. A patrol-boat left A 5 hour and 20 min later and caught up with the raft 20 km away from point A. What was the speed of the raft if the speed of the patrol-boat was 12 km/hour?

Answers

The speed of the raft if the speed of the patrol-boat was 12 km/hour, and it caught the raft in 5 hours 20 min later is 2.857 km/hours.

What is the speed of a body?

The speed of a body is the rate at which it covers the total distance is in the time taken. The speed of the body is given as,

[tex]S=\frac{D}{T}[/tex]

Here, (d) is the distance travelled by the body, and (t) is time taken by the body to cover that distance.

A raft was sent away from point A downstream. A patrol-boat left A 5 hour and 20 min later and caught up with the raft 20 km away from point A.

Total time the patrol boat took in hours is,

[tex]T = 5 + \frac{20}{60}[/tex]

T=5+0.3333

T=5.3333 hours

The speed of the patrol boat is 12 km/hour, and it caught up with the raft 20 km away from point A. Thus, the time taken with this speed to cover 20 km distance is,

[tex]T=\frac{20}{12}[/tex]

T=1.6667 Hours

Thus, the total time is,

T=5.3333+1.6667

T=7 Hours

Now as the raft travel 20 km in 7 hours. Therefore, find the speed of raft by putting the values in above formula as,

[tex]S=\frac{20}{7}[/tex]

S=2.857 kmph

1. what can you say about the sum of the measures of <1 and <3?

Statement.
Reason.

i really need help ​

Answers

[tex]\huge\tt \underline{Question}[/tex]

1. what can you say about the sum of the measures of <1 and <3?

[tex]\huge\tt\underline{Answer}[/tex]

[tex]\tt{Statements:}[/tex]

[tex]m < 1 + m < 3 = 90[/tex]

[tex]\tt{Reasons:}[/tex]

Definition of perpendicularity

[tex] \\ \\ [/tex]

see the picture above

= "i hope it's help"

multiply 2 5/8 times - 2 3/5 what is the answer

Answers

Step 1: Change the Mixed Numbers into Improper Fractions

---To do so, multiply the number by the denominator and add that product to the numerator.

2 x 8 = 16 + 5 = 21

21 / 8

2 x 5 = 10 + 3 = 13

13 / 5

Step 2: Multiply the Improper Fractions

---When multiplying fractions, multiply straight across (numerator x numerator and denominator x denominator).

21 / 8 x 13 / 5 = (21 x 13) / (8 x 5) = 273 / 40

Step 3: Simplify

---Change the improper fraction back into a mixed number a simplify if necessary.

40 x 6 = 240

273 - 240 = 33

6 33/40

Answer: 6 33/40

Hope this helps!

-7.5 as a mixed number

Answers

Answer:

[tex]-7\dfrac12[/tex]

Step by step explanation:

[tex]-7.5=-\dfrac{75}{10}=-\dfrac{15}2=-7\dfrac{1}2[/tex]

Monica loves medicine and caring for people, but does not want to spend the
next 16 years studying and preparing to become a doctor. Which of the
following is a good career alternative for Monica?
• A. Nurse
B. Accountant
• C. Artist
• D. Banker

Answers

Answer:A

Step-by-step explanation: She will still care for people but spend lesser years qualifying

Answer: NURSE

Step-by-step explanation:

Given the function f(x)=2x+1/x and f′(1/x)=f(−x).

Find the value of x∈R correct to 3 significant figures.


x=−2.83

x=0.382

x=−1

x=2.83
I NEED A QUICK ANSWER PLSSS

Answers

Z=-2.83 I’m sure I just did this work In Class .

Solve for the missing angle labeled "?".
9) M I
115°
S
U
P
47°
R
Q
A) 47°
B)65°
C) 68°
D)133°

Answers

Answer:

D) 133 degrees.

Step-by-step explanation:

attached as image.

can someonhelp me with this I'm stuck please help I will give brainlyest​

Answers

Answer:

Table 1:

2 miles = 3520 yards

3 miles = 5280 yards

Table 2:

2 yards = 6 feet

3 yards = 9 feet

Table 3:

2 feet = 24 inches

3 feet = 36 inches

Table 4:

2 yards = 72 inches

Question 5: 4 yards, 130 inches, 10 feet

Question 6: The width of a penny

Step-by-step explanation:

Table 1: Multiply 1760 by 2 (3520), and 3 (5280).
Table 2: Multiply 3 by 2 (6), and 3 (9).
Table 3: Multiply 12 by 2 (24), and 3 (36).
Table 4: Multiply 36 by 2 (72).

Question 5: Convert all measurements to inches (the smallest value).
130 (given)
4 yards = 144 inches
10 feet = 120 inches

In greatest to least, we get 144, 130, 120.

Question 6: The length of a dollar is much wider than 1 inch, and so is a pencil. The width of a penny makes the most sense.

hope this helps!

Kara is mixing paint. Each batch has twice as much blue paint as well as yellow paint. Plot points to represent the amount of blue and yellow paint used in three different sized batches.

Answers

(b, y) twice as much blue as yellow

(2, 1)

(4, 2)

(6, 3)

You have a cup of lemonade. Each ice cube has a length of 2 cm, a width of 1 1/4 cm and a height of 3 cm. What is the volume of one of the ice cubes? Show your steps and Explain how you used math to come to your decision. / 100 points if you answer and ill give you brianliest and 5 stars\

Answers

L=2cmB=1-1/4=5/4cmH=3cm

So

Volume:-

[tex]\\ \rm\rightarrowtail LBH[/tex]

[tex]\\ \rm\rightarrowtail 2(5/4)(3)[/tex]

[tex]\\ \rm\rightarrowtail 5/2(3)[/tex]

[tex]\\ \rm\rightarrowtail 15/2[/tex]

[tex]\\ \rm\rightarrowtail 7.5cm^3[/tex]

a punch bowl contains 58 fluid ounces of fruit juice. Ishmat adds 2 containers of lemonade to the bowl. Each container holds 6 fluid ounces of lemonade.
How much liquid is in the punch bowl after Ishmat adds the lemonade?
46 fl oz
64 fl oz
66 fl oz
70 fl oz

Answers

Answer:

70 fl oz

Step-by-step explanation:

Find how much is added to the punch bowl.

2 containers and each holds 6 fluid ounces.

2 x 6 = 12

Now find the total amount of liquid by adding the original amount and the amount added.

58 + 12 = 70

PLSSS HELP IF YOU TURLY KNOW THISS

Answers

Answer:

C -- 6 3/4

Step-by-step explanation:

4 + 2 = 6

5/8 + 1/8 = 6/8

6 divided by 2 = 3

8 divided by 2 = 4

you get the fraction 3/4

A local city collects 8% sales tax. If the total purchase was $216.00, then how much was collected for sales tax?

Answers

8% of $216 is $17.28

The red figure is a dilated image of the blue figure. Which diagram shows the correct
center of dilation?

Answers

Dilating the blue figure to create the red figure ensures that both figures have different sizes

The correct center of dilation is (d)

How to determine the center of dilation?

The center of dilation influences the position of the image of the dilated figure.

For figure 1, the center of dilation would ensure that the red figure is to the left of the blue figureFor figure 2 and 3, the center of dilation would ensure that the red and the blue figure have the same vertexFor figure 4, the center of dilation would ensure that both triangles have the same center

The 4 diagrams show that both figures have the same center

Hence, the correct center of dilation is (d)

Read more about dilation at:

https://brainly.com/question/3457976

A set of cubes, each with sides 1 cm long, is stacked 5 cubes high, 8 cubes deep and 7 cubes long.
How many cubes are in the set?

Answers

Answer:

280 Cubes

Explanation:

This problem has to do with volume. To find the number of cubes in the set, you multiply the length, width, and height of all the cubes. This would look like 7*8*5. This equals 280 cubes.

The circumference of a sphere is 18π inches. Find the volume of the sphere in terms of π

Answers

Answer:

volume=12п

Step-by-step explanation:

circumference =2пr

2пr=18п

r=18п:2п

r=9

volume of sphere= (4/3)*п*r

volume=(4/3)*п*9

volume=4*п*3

volume=12п

A right prism has a triangular base. The length of the base is 12 yards and the height of the base is 3 yards. The height of the prism is 3.5 yards.

What is the volume of the prism?


39.5 yd³

52.5 yd³

63 yd³

126 yd³

Answers

The volume is 63 yd cubed
A=Bh
A=bxhxh
A=12x3x0.5x3.5
A=63 yd cubed

Answer:

C. 63 yd³. I took the test.

Use the greatest common factor of 84 and 48 to write the sum 84+48 as a product. Write a whole number in each black.​

Answers

Answer: Below

Step-by-step explanation:

Looking at the numbers, they already seem to be multiples of fours. If we try to scale four up, 12 is the next biggest factor.
84 = 12 * 7
48 = 12 * 4
7 + 4 = 13
12 * 13 = 84 * 48
12 * 13 = 132

Mr. beasley 's science class wants to decorate one wall in the classroom like an underwater scene. They use sheets of blue poster board that are 2 feet long and 2 feet wide. How many sheets of blue poster board are used to cover the entire area of the wall? use math words and symbols to explain how you solve

Answers

Answer:

Area of the sheet = 2×2 = 4 feet2

Step-by-step explanation:

Please help NEED THE CORRECT ANSWER ASAP!!!!!

Answers

Answer:

correct answer is

A = 32

B= 24

Write the proportion. do not include units in the answer.
60feet is to 100feet as 12feet is to 20feet.

Answers

Answer:

(60/100) = (12/20)

Step-by-step explanation:

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