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Elza [17]
3 years ago
13

Rewrite each expression as a single power?

Mathematics
1 answer:
Inessa [10]3 years ago
3 0

Answer:

(90)^4

Step-by-step explanation:

9^4 * 10^4

We know that when the power are the same, but the bases are different

a^b * c^b = (ab)^m

(9*10)^4

(90)^4

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How much will Kasey pay in Medicare if she makes $42,300 next year? $613.35 $2,678.40 $3,291.75 $4,320.00
GenaCL600 [577]

Answer:

$613.35

Step-by-step explanation:

As 1.45% of employee's pay check goes to the Medicare, so

Total pay of Kasey in next year=$42300

Amount to be paid to medicare=1.45% of Kasey^' s pay

=42300*  1.45/100

=42300*  145/10000

=  6133500/10000

=613.35

Kasey will have to pay $613.35 to Medicare.  

4 0
3 years ago
A bee flies at 15 ft./s directly into a flower bed from a time the beast stays at the flower bed for 12 minutes and then flies d
Zinaida [17]

A) The equation that we need to solve is:

(12ft/s)*(- d/(15ft/s) + 300s) = d

B) The distance to the hive is d = 2000ft.

<h3 /><h3>What equation can you use to find the distance of the flower bed from the hive?</h3>

We know that the bee's speed is 15 ft/s from the hive to the flower bed.

Then stays 12 minutes at the flower bed.

Then returns to the hive with a speed of 12ft/s.

The total time of the journey is 17 minutes, discounting the 12 minutes that the bee was in the flower bed, the travel only took 5 minutes.

Now, if the distance between the hive and the flower bed is d, t₁ as the time that the bee needs to go from the hive to the flower bed, and t₂ as the time in which the bee goes from the flower bed to the hive, we can write the system of equations:

t₂ + t₁ = 5min

(15ft/s)*t₁ = d

(12ft/s)*t₂ = d

With that system of equations, we can find the value of d, which is what we want to get.

Isolating t₂ in the first equation we get:

t₂ = - t₁ + 5min

Now we can replace that in the third equation:

(15ft/s)*t₁ = d

(12ft/s)*(- t₁ + 5min) = d

In the first equation we can isolate t₁:

t₁ = d/(15ft/s)

And replace that in the remaining equation:

(12ft/s)*(- d/(15ft/s) + 5min) = d

5 min = 5*60s = 300s

(12ft/s)*(- d/(15ft/s) + 300s) = d

This is the equation we need to solve to find the value of d.

-(12/15)*d + 3600ft = d

3600ft = d + (12/15)*d = (1 + 12/15)*d = (27/15)*d

(15/27)*3600ft = d = 2000 ft

We conclude that the distance to the hive is 2000ft.

If you want to learn more about systems of equations:

brainly.com/question/13729904

#SPJ1

8 0
1 year ago
Need help for this. Math Alg
Alexandra [31]

Answer:

y = 2x - 3

Step-by-step explanation:

Since the equation for the line y = 2x + 5 is already in slope-intercept form (y = mx + b), the slope (m) is 2. A parallel line will have the same slope. Now use point-slope formula to find an equation for the parallel line including point (3,3). Point-slope formula is:  

(y – y₁) = m(x – x₁), where m is the slope (2) and (x₁, y₁) is the point the line passes through (3,3).  

Therefore:  

(y – 3) = 2 (x – 3)

y – 3 = 2x – 6

y – 3 + 3 = 2x – 6 + 3

y = 2x - 3

7 0
3 years ago
Emily is entering a bicycle race for charity. Her mother pledges $0.10 for every 0.25 mile she bikes. If Emily bikes 8 miles, ho
Arlecino [84]

Answer:

0.10 for 1/4 of a mile so 8 would be 32 times more. Which would be .1 x 32 or $3.20

Step-by-step explanation:

Plz mark brainliest :3

8 0
3 years ago
Tim,Griff and Kay baked chocolate for Kay s birthday party.Tim baked 3 times as many as Kay.Griff baked half as many as Tim.Alto
lianna [129]
Answer: 48

------------------------------------------------------------------------------
Define the number of cakes they baked in term of x
------------------------------------------------------------------------------
Let the number of cakes Kay baked be x

Kay = x
Tim = 3x                ← Tim baked 3 times as many as Kay
Griff = 1.5x            ← Griff baked 1/2 as many as Tim

------------------------------------------------------------------------------
Construct the equation and solve for x
------------------------------------------------------------------------------
The total number of cakes baked was 88.

x + 3x + 1.5x = 88        ← Combine like terms
5.5 x = 88                     ← Divide by 5.5
÷5.5    ÷5.5
x = 16

------------------------------------------------------------------------------
Find the number of cakes each baked
------------------------------------------------------------------------------
Kay = x = 16
TIm = 3x = 16 x 3 = 48
Griff = 1.5x = 1.5(16) = 24

------------------------------------------------------------------------------
Answer: Tim baked 48 cakes.
------------------------------------------------------------------------------
3 0
3 years ago
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