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3 years ago

Who knows how to do this 8 cos x+3=0 ??

1 answer:

6 0

You want to find the measure of angle x. Rearrange the given 8 cos x+3=0 as <span>8 cos x= -3, or cos x = -3 / 8, or cos x = -0.375.

Use the arccos function (inverse cosine) to find the value of x in radians and in degrees.

Since the cosine function is negative only in Quadrants II and III, focus on the following possible ranges: Quadrant II: 90 < x < 180 and
Quadrant III: 180 < x < 270.

Example: using my calculator to obtain the inverse cosine of -0.375, I got x = 1.96 radians. Convert this into degrees if desired. Draw a ray showing this angle. Reflect this ray across the horiz. axis to obtain the angle in Q III.</span>

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A can of soup contains 2 servings. Each serving has 130 calories in it. How many calories are there in the whole can?

Allisa [31]

There are 260 calories in the whole can.
to get this you multiply the calories in one serving by the amount of total servings, in this case 2.

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3 years ago

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What is the explicit formula for this sequence -7, -4, -1, 2, 5

Nataliya [291]

Answer:

$\large\boxed{a_n=3n-10}$

Step-by-step explanation:

It's an arithmetic sequence.

$-4-(-7)=-4+7=3\\-1-(-4)=-1+4=3\\2-(-1)=2+1=3\\5-2=3$

The difference is constant.

The explicit formula of an arithmetic sequence:

$a_n=a_1+(n-1)d$

Substitute:

$a_1=-7,\ d=3$

$a_n=-7+(n-1)(3)$ <em>use distributive property</em>

$a_n=-7+3n-3\\\\a_n=3n+(-7-3)\\\\a_n=3n-10$

6 0

3 years ago

Help me please thanks

Afina-wow [57]

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4 0

3 years ago

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What is the distributive property for 54÷3

slamgirl [31]

It's 18 it means 18 times 3 becomes 54 and that's how you get it

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3 years ago

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For the following hypothesis test, determine the null and alternative hypotheses. Also, classify the hypothesis test as two-tail

bagirrra123 [75]

Answer:

Option B:

$H_0: \mu = 22.1$

$H_a: \mu \neq 22.1$

Classification:

The hypothesis test is Two-tailed.

Step-by-step explanation:

The mean length of imprisonment for motor-vehicle theft offenders in this country is 22.1 months.

This means that the null hypothesis is that the mean is of 22.1 months, that is:

$H_0: \mu = 22.1$

A hypothesis test is to be performed to determine whether the mean length of imprisonment for motor-vehicle theft offenders in this city differs from the national mean of 22.1 months.

At the alternate hypothesis, we test if this mean is different of 22.1, that is:

$H_a: \mu \neq 22.1$

Which means that the answer is given by option b).

Which of the following is the correct classification of the hypothesis test?

We test if the mean is different from a value, which means that the hypothesis test is Two-tailed.

7 0

3 years ago