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zysi [14]
3 years ago
8

Can someone help me with these questions and show work please and thank you

Mathematics
1 answer:
attashe74 [19]3 years ago
6 0

Answer:

11. 78

12. 4x² - 3x - 1

Step-by-step explanation:

11. Sum of n whole numbers = ½(n² + n)

Multiply

½*n² + ½*n

= n²/2 + n/2

To find the sum of the first 12 whole number, substitute 12 for n into the equation.

= 12²/2 + 12/2

= 144/2 + 12/2

= 72 + 6

= 78

12. Area of trapezoid = ½(a + b)*h

Where,

a = 5x - 4

b = 3x + 2

h = x + 1

Area = ½(5x - 4 + 3x + 2)*(x + 1)

Area = ½(8x - 2)*(x + 1)

Area = ½[8x(x + 1) -2(x + 1)]

= ½[8x² + 8x - 2x - 2]

Add like terms

= ½(8x² - 6x - 2)

= ½(8x²) - ½(6x) - ½(2)

= 4x² - 3x - 1

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I need help on this math question?​
Jet001 [13]

Answer: D

Step-by-step explanation:

From the equation given ,  ( -3)⁰(2x⁻¹y⁻¹)²

Recall :From the laws of indicies,

x⁰  = 1  ,and (xᵃ)ᵇ = xᵃ ˣ ᵇ = xᵃᵇ. and x⁻¹ = 1/ₓ

Therefore,

(-3)⁰ = 1,

( 2x⁻¹y⁻1 )² = 2²x⁻¹ ˣ ²y⁻¹ x ²

                = 2²x⁻²y⁻²

                =4x⁻²y⁻²

Now going by the law above, the expression will be

                =4/ₓ²y²

So the answer is D

               

8 0
3 years ago
What is the lenght when height is 36 and width is 28 and the area is 6112
vazorg [7]
A = l*w
6112 = l*28
l = 6112/28
l = 218.2857143
8 0
3 years ago
-3x + 7 = 1<br> what dose x represent
olchik [2.2K]

Answer:

the answer is x=3

Step-by-step explanation:

-3x=1-7

-3x=-6

-x=-6+3

-x=-3

x=3

3 0
3 years ago
A news station would like to conduct an exit poll to determine the likelihood that a highly debated amendment will receive enoug
vladimir1956 [14]

Answer:

The expression is n = (\frac{1.645*0.5}{0.03})^2

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of \pi, and a confidence level of 1-\alpha, we have the following confidence interval of proportions.

\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}

In which

z is the z-score that has a p-value of 1 - \frac{\alpha}{2}.

The margin of error is of:

M = z\sqrt{\frac{\pi(1-\pi)}{n}}

90% confidence level

So \alpha = 0.1, z is the value of Z that has a p-value of 1 - \frac{0.1}{2} = 0.95, so Z = 1.645.

What expression would give the smallest sample size that will result in a margin of error of no more than 3 percentage points?

We have to find n for which M = 0.03.

We have no prior estimate for the proportion, so we use \pi = 0.5. So

M = z\sqrt{\frac{\pi(1-\pi)}{n}}

0.03 = 1.645\sqrt{\frac{0.5*0.5}{n}}

0.03\sqrt{n} = 1.645*0.5

\sqrt{n} = \frac{1.645*0.5}{0.03}

(\sqrt{n})^2 = (\frac{1.645*0.5}{0.03})^2

n = (\frac{1.645*0.5}{0.03})^2

The expression is n = (\frac{1.645*0.5}{0.03})^2

3 0
3 years ago
A boat can travel 132 miles on 11 gallons of gasoline.how much gasoline will it need to go 252 miles
svetoff [14.1K]
Rate is miles/gallons
132/11=12 mile pser 1 galon
ratio and propeortion
132/11=252/xgalons
12/1=252/x
multiply both sides by x
12x=252
divide both sides by 12
x=21

21 gallons
3 0
4 years ago
Read 2 more answers
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