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romanna [79]
3 years ago
6

Use the associative property to write an equivalent expression for -5/6 • (12•87) and then simplify.

Mathematics
1 answer:
mote1985 [20]3 years ago
6 0

Step-by-step explanation:

The associative property for multiplication: <em>(a · b) · c = a · (b · c)</em>

-\dfrac{5}{6}\cdot(12\cdot87)=\left(-\dfrac{5}{6\!\!\!\!\diagup_1}\cdot12\!\!\!\!\!\diagup^2\right)\cdot87=(-5\cdot2)\cdot87=(-10)(87)=-870

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Megan is one of the cheerleaders in her school. To prepare for the forthcoming Cheer Dance Competition, her coach is teaching th
Alekssandra [29.7K]

Answer:

16 feet

Step-by-step explanation:

her first try is 2 and you multiply by 2 every time so her first would be 2 which we would multiply to get 4 which we would multiply again to get 8 which we would multiply AGAIN to get the final answer of 16

7 0
2 years ago
PLEASE HELP!!! I don’t understand
asambeis [7]

Answer:

Step-by-step explanation:

Use the half angle identity for cosine:

cos(x/2)=+ or - sqrt(1+cos(x))/sqrt(2)

I'm going to figure out the sign part first for cos(x/2)...

so x is in third quadrant which puts x between 180 and 270

if we half x, x/2 this puts us between 90 and 135 (that's the second quadrant)

cosine is negative in the second quadrant

so we know that

cos(x/2)=-sqrt(1+cos(x))/sqrt(2)

Now we need cos(x)... since we are in the third quadrant cos(x) is negative...

If you draw a reference triangle sin(x)=3/5 you should see that cos(x)=4/5 ... but again cos(x)=-4/5 since we are in the third quadrant.

So let's plug it in:

cos(x/2)=-sqrt(1+4/5)/sqrt(2)

No one likes compound fractions (mini-fractions inside bigger fractions)

Multiply top and bottom inside the square roots by 5.

cos(x/2)=-sqrt(5+4)/sqrt(10)

cos(x/2)=-sqrt(9)/sqrt(10)

cos(x/2)=-3/sqrt(10)

Rationalize the denominator

cos(x/2)=-3sqrt(10)/10

3 0
3 years ago
The principal P is borrowed at a simple interest rate r for a period of time t. Find the​ loan's future value​ A, or the total a
Julli [10]

The​ loan's future value​ A, or the total amount due at time t is $1105.

Given, P = ​$1000​, r = 3.5​%, t = 3 months.

We need to find the loan's future value A.

<h3>What is Simple interest?</h3>

Simple interest is computed on the principal amount of a loan or the first deposit in a savings account. Simple interest does not compound, therefore an account holder will only get interest on the principal, and a borrower will never have to pay interest on previously collected interest.

We know that, Simple Interest=\frac{P\times\ T \times\ R }{100}

Now, Simple Interest=\frac{1000\times3\times3.5}{100\times12}

=\frac{10,500}{100} =105

As we know, Amount=Principal+Simple Interest

=1000+105=1105

Hence, the​ loan's future value​ A, or the total amount due at time t is $1105.

To know more about simple interests visit:

brainly.com/question/25663053?referrer=searchResults

#SPJ1

6 0
2 years ago
Consider the quadratic function f(x)=2x^2-8x-10
Slav-nsk [51]

Answer:

f(x) = 2x² - 8x - 10.

This is a parabola open upward (since a>0) with an axis of symmetry = -b/2a:

a) axis of symmetry: x = -(-8)/(2*2) = 8/4 = 2. Then x = 2, which is the x component of the vertex

b) for x =  2, f(x) = f(2) = - 18 (component of y of the vertex)

c) VERTEX(2, - 18)

d) DISCRIMINENT: b² - 4.a.c = 64 - 4*2*(-10) = 144

Hope this helps! :)

6 0
3 years ago
Choose one of the factors of x3 − 1331.
Dmitry [639]
Answer A) x-11
Hope this helps!
3 0
3 years ago
Read 2 more answers
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