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pickupchik [31]
2 years ago
6

Given f(x) = -4(x+5), what is the value of f(-3)? 

Mathematics
1 answer:
sp2606 [1]2 years ago
4 0

Answer:

f(-3)=-8

Step-by-step explanation:

plug -3 in as x

-4(-3+5)

12-20

-8

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given that sin theta= 1/4, 0 is less than theta but less than pi/2, what is the exact value of cos theta
lapo4ka [179]

Answer:

\cos{\theta} = \frac{\sqrt{15}}{4}

Step-by-step explanation:

For any angle \theta, we have that:

(\sin{\theta})^{2} + (\cos{\theta})^{2} = 1

Quadrant:

0 \leq \theta \leq \frac{\pi}{2} means that \theta is in the first quadrant. This means that both the sine and the cosine have positive values.

Find the cosine:

(\sin{\theta})^{2} + (\cos{\theta})^{2} = 1

(\frac{1}{4})^{2} + (\cos{\theta})^{2} = 1

\frac{1}{16} + (\cos{\theta})^{2} = 1

(\cos{\theta})^{2} = 1 - \frac{1}{16}

(\cos{\theta})^{2} = \frac{16-1}{16}

(\cos{\theta})^{2} = \frac{15}{16}

\cos{\theta} = \pm \sqrt{\frac{15}{16}}

Since the angle is in the first quadrant, the cosine is positive.

\cos{\theta} = \frac{\sqrt{15}}{4}

3 0
3 years ago
The second digit of a four digit number is "0". If you write the digits of this number backwards, you will get a number 9 times
wolverine [178]

Answer:

1089

Step-by-step explanation:

The original number is A0CD, We have that DC0A = 9 x A0CD.

If A =1, then D = 9 and we have:

9C01 = 9 x 10C9

In order for this expression to be true, the following must also be true:

(C x 9) + 8 must be divisible by 10, which means that C x 9 must end in a 2.

The only multiple of 9 (from 9 to 81) that ends in a 2 is 72.

72 = 9 x 8.

Therefore, C must be 8 and the original number is 1089. Multiply it by 9 to check the answer:

1089 x 9 = 9,081

Therefore, 1089 is correct.

6 0
3 years ago
While in transit, the antitoxin had to stay between 36ºF and 46ºF. The dogsled teams stopped along the route often to warm the a
eimsori [14]
Range is the difference between the largest and the smallest numbers in a given contest

Hence the range
= 46 - 36
= 10 °F
6 0
2 years ago
Help filler filler filler
julsineya [31]
I got 16 but not 100% sure if it’s right
Sorry if it’s wrong, I tried my best
8 0
2 years ago
Marcus is rewriting a polynomial by combining like terms. Which terms does he still need to combine to finish rewriting the poly
Sunny_sXe [5.5K]

Answer:-3mn^3 and -5mn^3

Step-by-step explanation:

4 0
2 years ago
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