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3 years ago

9

Estimate each quotient by first rounding each number to the nearest ten.

1 answer:

ololo11 [35]3 years ago

8 0

This is not super clear you need to give more detail.

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What is f(0) if f(t) = t^2 – 2t – 2?

Dafna11 [192]

Answer:

-2

Step-by-step explanation:

f(t) = t^2 – 2t – 2

To find f(0), replace t with 0 in the expression and evaluate the expression.

f(0) = 0^2 – 2(0) – 2

f(0) = -2

6 0

3 years ago

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D. 16<br> Geometry math question

galina1969 [7]

I think it might be A.

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3 years ago

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What is the value of x?<br><br> Enter your answer in the box. <br><br> x = ___

lapo4ka [179]

Answer:

x=8

Explanation:

The picture tells us that the triangle is equilateral (this means that each angle is 60°). We can assume this because each side has been marked with the same line.

Because each angle is equal to 60°, this means that:

7x+4=60

Now solve for x:

7x=56
x=8

5 0

3 years ago

Which of the following expressions correctly uses the properties of summations to represent

madam [21]

Answer:

Option C is correct.

$7 \cdot \sum_{i=1}^{18} i^2 + 9 \cdot 18$

Step-by-step explanation:

Given the expression: $\sum_{i=1}^{18} (7i^2+9)$

Using properties of summation:

$\sum_{i=1}^{n} (a+bi) =\sum_{i=1}^{n} a + \sum_{i=1}^{n} bi$

$\sum_{i=1}^{n} a = an$

Using properties of summation in the given expression we have;

$\sum_{i=1}^{18} (7i^2+9)$

= $\sum_{i=1}^{18} 7i^2 + \sum_{i=1}^{18} 9$

= $7 \cdot \sum_{i=1}^{18} i^2 + 9 \cdot 18$

Therefore, the following given expression uses the properties of summation to represents is, $7 \cdot \sum_{i=1}^{18} i^2 + 9 \cdot 18$

8 0

3 years ago

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Total number of faculty is 136. There are 6 professors to every 11 lecturers. How many professors are there

laila [671]

Answer:

The Total number of Professors = 48

Step-by-step explanation:

Given as,

The total number of Faculty = 136

And the Ratio of Professors to Lecturers = 6 Ratio 11

Now According to question

Professors : Lecturers = 6 : 11

So, Let the Number of Professors = 6x

And The Number of Lecturers = 11x

∴ 6x + 11x = 136

Or, 17x = 136

Or, x = $\frac{136}{17}$ = 8

Hence, the number of Professors = 6 × 8 = 48 Answer

3 0

3 years ago