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3 years ago

5

Find the value of y. Round your answer to nearest tenth. Please help

1 answer:

iren [92.7K]3 years ago

6 0

9514 1404 393

Answer:

(c) 52.0

Step-by-step explanation:

The angle whose cosine is 8/13 is found using the inverse cosine function:

y° = arccos(8/13) ≈ 52.0°

y ≈ 52.0

__

The calculator button to compute this value is probably labeled cos⁻¹. You may need to access the function using a <em>Shift</em> or <em>2nd</em> key. The calculator must be set to degrees mode to prevent the answer from appearing in radians or grads. If you use a spreadsheet, your formula may look like ...

=DEGREES(ARCCOS(8/13))

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Scientists have discovered a vaccine for a debilitating disease. This year there were 570,000 reported new cases of the disease

Ket [755]

Answer: There are approximately 853827 new cases in 6 years.

Step-by-step explanation:

Since we have given that

Initial population = 570000

Rate at which population decreases is given by

$\frac{2}{3}$

Now,

First year =570000

Second year is given by

$570000\times (\frac{1}{3})$

Third year is given by

$570000(\frac{1}{3})^2$

so, there is common ratio ,

it becomes geometric progression, as there is exponential decline.

so,

$570000,570000\times \frac{1}{3},570000\times( \frac{1}{3})^2,......,570000\times (\frac{1}{3})^6$

a=570000

common ratio is given by

$r=\frac{a_2}{a_1}=\frac{1}{3}$

number of terms = 6

Sum of terms will be given by

$S_n=\frac{a(1-r^n)}{(1-r)}$

We'll put this value in this formula,

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2 years ago

Solve the equation 4x^2 + 24x + 13 = 2x^2+ 6x to the nearest tenth.

Licemer1 [7]

Answer:

-0.8 and -8.2

Step-by-step explanation:

To solve a quadratic you first need to have one side of the equation equal to zero (because x-intercepts are when y is zero).

4x^2 + 24x + 13 = 2x^2 + 6x

2x^2 + 18x + 13 = 0

Then you can use the quadratic formula to solve for x. You will then come to

-18 ± sqrt(220) / 4

This will simplify out (rounding to the nearest tenth) to -0.8 and -8.2

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3 years ago