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4 years ago

Eli claims that the product of and is . Which explains whether Eli is correct?

Mathematics

1 answer:

Shalnov [3]4 years ago

6 0

Answer: last option.

Step-by-step explanation:

According to the Product of powers property, you have:

$a^n*a^m=a^{(n+m)}$

As you can see, when you can add the exponents when you have powers with equal base.

Then, $6^5$ and $5^{-3}$ do not have the same base, therefore, the exponents can't be added.

Therefore, Eli is incorrect, because he added the exponents even though the bases are not the same.

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a paragraph about the parts of the Exponential Functions and how they relate to one another f(x) = 156 * (0.75)x & f(x) = 15

Bad White [126]

Answer:Another variant of the important rule above is ax ay. = ax-y. And there is also the following slightly related rule. (ax)y = axy ... 10-3 = 1. 103 = 1. 1000. • 156. 155 = 156-5 = 151 = 15. • (25)2 = 210 = 1024. • (320). 1. 10 = 32 = 9. • 8-. 2 ... If f(x) is an exponential function whose base equals 1 – that is if f(x)=1x. – then for n, m ∈ N ...

Step-by-step explanation:

5 0

3 years ago

Truck A leaves station 1 at 9:00 a.m. and travels at the rate of 60 kph. After 2 hours, Truck B leaves the same station and trav

-BARSIC- [3]

Answer: $5:00\ PM$

Step-by-step explanation:

Given

Truck A speed is $v_a=60\ kmph$

Truck B speed is $v_b=80\ kmph$

Truck A leaves 2 hours before truck B

Distance traveled in the 2 hour

$\Rightarrow 60\times 2=120\ km$

Suppose Truck B will catch truck A after t hours

$\therefore 120+60t=80t$

$\Rightarrow 120=20t\\\Rightarrow t=6\ hr$

Overtake time is $9:00am +2+6=5:00\ PM$

4 0

3 years ago

During the day, Lola's dog is tied by rope to a tree in the center of her yard. The scale drawing below shows the area that the

seropon [69]

Answer:

5 /448

Step-by-step explanation:

Radius in drawing = 1 9/16 in

The actual length of rope = 11 2/3 feets

Converting actual length to inches :

1 feet = 12 inches

11 2/3 feets = (11 2/3) * 12 = 140 inches

To obtain the scale used, we divide the Radius in the drawing by the actual length :

1 9/16 ÷ 140

25 /16 ÷ 140

25 /16 * 1 /140

= 25 / 2240

= 5 /448

Hence, scale is 5 /448 times the actual length of drawing

Hence :

The scale used is :

1 feet = 7.4666 inches

6 0

3 years ago

Mr. Howard is a student teacher at the local junior high. His first‐period class of 40 students averaged 96% on a recent test. H

kodGreya [7K]

Answer:

The combined average is 94%

Step-by-step explanation:

for first period, number of students =40

average =96%

for second period, no of students =20

average =90%

but $average = \frac{sum of scores}{no of students}$

let $S_1$ =sum of students for the first period

$S_2$ =sum of students for the second period

for first period;

$\frac{S_{1} }{40} =96%$

$S_{1}= 96*40=3840$

for second period,

$\frac{S_{2} }{20} =90%$

$S_{1}= 90*20=1800$

therefore the combined average = $\frac{S_1+S_2}{40+20}$

that is $\frac{3840+1800}{40+20}$ $= 94%$

so combined average is 94%

3 0

3 years ago

Read 2 more answers

In three hours, Company ABC can make X ball bearings. Company DEF can make X ball bearings in 4 hours. Company GHI can make X ba

amm1812

Answer:

<em>X ball bearings will be made in 1 hour and 20 minutes</em>

Step-by-step explanation:

<u>Proportions </u>

The proportions give us an important tool to easily solve common problems of any type. We know that:

Company ABC can make X ball bearings in 3 hours.

Company DEF can make X ball bearings in 4 hours.

Company GHI can make X ball bearings in 6 hours.

In one hour, each company can make

ABC: X/3 ball bearings

DEF: X/4 ball bearings

GHI: X/6 ball bearings

Working together, they can make

$\displaystyle \frac{X}{3}+\frac{X}{4}+\frac{X}{6}$

ball bearings. Operating

$\displaystyle \frac{4X+3X+2X}{12}=\frac{9X}{12}=\frac{3X}{4}$

If they can make 3/4 of a ball bearing in one hour, then one complete ball bearing will need

$\displaystyle \frac{4}{3}$ hours to complete. It's equivalent to 1 1/3 hours or 1 hour and 20 minutes

X ball bearings will be made in 1 hour and 20 minutes

8 0

3 years ago