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3 years ago

(4a^3)(5a)^2 with work

Mathematics

1 answer:

Natali5045456 [20]3 years ago

4 0

$\bf (4a^3)(5a)^2\implies 4a^3(5^2a^2)\implies 4a^3(25a^2)\implies 4(25)a^3 a^2 \\\\\\ 100a^{3+2}\implies 100a^5$

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Rita ran 2 km 30 m in a 10 km marathon. How much more distance she has to cover to finish the marathon?

vichka [17]

Answer:

7.970km

Step-by-step explanation:2km 30m=2000m+30m=2030m (1km=1000m)

total distance is 10km which is 10000m.

10000m Minus 2030m equals 7970m so this give's us the answer of 7.97km (7.970km) Hope this helps!

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2 years ago

Square root of 120 over the square root of 30. what is the following quotient.

Minchanka [31]

Answer:

21.90890230 or 21.91 (I'm assuming you're saying 120/ √30)

Step-by-step explanation:

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2 years ago

Write an expression using all six trigonometric functions such that the value of the expression is 3.

iren2701 [21]

The trig functions that you need to deal with are
Sine
Cosine
Tangent
Cotangent
Cosecant
Secant

You need to write a single expression using all six trig functions such that the value of the expression equals 3.

To make this as simple as possible, the first thing I would do is look up the values of these functions and identify which ones are equal to either 1/2 or 1.0 or 2.0

sin(30º) = 1/2
sin(90º) = 1
cos(0º) = 1
cos(60º) = 1/2
tan(45º) = 1
csc(30º) = 2
csc(90º) = 1
sec(0º) = 1
sec(60º) = 2
cot(45º) = 1

If we only had to use three trig functions (sin, cos, tan), one possibility is
tan(45º) + cos(0º)/sin(30º) = 1 + 1/(1/2) = 1 + 2 = 3
noticed how I chose one each of the required functions and the operations so that the result = 3.

Now it is up to you to figure out how to combine all six trig functions so that they equal zero. There are many possibilities for you to choose from..

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3 years ago

Carrie had $1.00. She spent $0.64 on a present for her teacher. What percent of money did she spend?

tangare [24]

The answer is 64% 64/100 is 64%

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3 years ago

Read 2 more answers

Which score indicates the highest relative position? I. A score of 2.6 on a test with X = 5.0 and s = 1.6 II. A score of 650 on

Zanzabum

Answer:

A score of 2.6 on a test with $\bar X$ = 5.0 and s = 1.6 and A score of 48 on a test with $\bar X$ = 57 and s = 6 indicate the highest relative position.

Step-by-step explanation:

We are given the following:

I. A score of 2.6 on a test with $\bar X$ = 5.0 and s = 1.6

II. A score of 650 on a test with $\bar X$ = 800 and s = 200

III. A score of 48 on a test with $\bar X$ = 57 and s = 6

And we have to find that which score indicates the highest relative position.

For finding in which score indicates the highest relative position, we will find the z score for each of the score on a test because the higher the z score, it indicates the highest relative position.

The z-score probability distribution is given by;

Z = $\frac{X-\bar X}{s}$ ~ N(0,1)

where, $\bar X$ = mean score

s = standard deviation

X = each score on a test

The z-score of First condition is calculated as;

Since we are given that a score of 2.6 on a test with $\bar X$ = 5.0 and s = 1.6,

So, z-score = $\frac{2.6-5}{1.6}$ = -1.5 {where $\bar X = 5.0$ and s = 1.6 }

The z-score of Second condition is calculated as;

Since we are given that a score of 650 on a test with $\bar X$ = 800 and s = 200,

So, z-score = $\frac{650-800}{200}$ = -0.75 {where $\bar X = 800$ and s = 200 }

The z-score of Third condition is calculated as;

Since we are given that a score of 48 on a test with $\bar X$ = 57 and s = 6,

So, z-score = $\frac{48-57}{6}$ = -1.5 {where $\bar X = 57$ and s = 6 }

AS we can clearly see that the z score of First and third condition are equally likely higher as compared to Second condition so it can be stated that A score of 2.6 on a test with $\bar X$ = 5.0 and s = 1.6 and A score of 48 on a test with $\bar X$ = 57 and s = 6 indicate the highest relative position.

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3 years ago