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3 years ago

Solve by using the perfect squares method. x2 + 4x + 4 = 0 a. 2 b. –2 c. 4 d. –4

2 answers:

7 0

Solve your equation step-by-step.

x2+4x+4=0

Factor left side of equation.

(x+2)(x+2)=0

Set factors equal to 0.

x+2=0

or

x+2=0

x=−2

Stels [109]3 years ago

5 0

$a^2+2ab+b^2=(a+b)^2 \\ \Downarrow \\
x^2+4x+4=x^2 + 2 \times 2 \times x +2^2=(x+2)^2 \\ \\
x^2+4x+4=0 \\
(x+2)^2=0 \\
x+2=0 \\
x=-2$

The answer is B.

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What does no gains or no losses on first down meaning

MissTica

It means the ball did not move forward or backward. It stayed on the same line where it was

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3 years ago

How heavy a load (pounds) is needed to pull apart pieces of wood 4 inches long and 1.5 inches square? Here are data from student

statuscvo [17]

Answer:

a. (29526.192 , 32155.808)

b. (29673.9301 , 32008.0699)

Step-by-step explanation:

on calculation, we find that sample mean = 30843 and sample standard deviation = 3018.504, and n=20

Sample Mean = 30841

SD = 3000

Sample Size (n) = 20

Standard Error (SE) = SD/root(n) = 670.8204

alpha (a) = 1 - 0.95 = 0.05

z critical value for 95% confidence interval:

z(a/2) = z(0.025) = 1.96

Margin of Error (ME) = z(a/2) x SE = 1314.808

95% confidence interval is given by:

Sample Mean +/- (Margin of Error) = 30841 +/- 1314.808

= (29526.192 , 32155.808)

2)when std dev of population is not known, we use sample's, but we have to use t instead of z

Sample Mean = 30841

SD = 3018.504

Sample Size (n) = 20

Standard Error (SE) = SD/root(n) = 674.958

alpha (a) = 1-0.9 = 0.1

we use t-distribution as population standard deviation is unknown

t(a/2, n-1 ) = 1.7291

Margin of Error (ME) = t(a/2,n-1)x SE = 1167.0699

90% confidence interval is given by:

Sample Mean +/- (Margin of Error)

30841 +/- 1167.0699 = (29673.9301 , 32008.0699)

4 0

3 years ago

Dinesh has been keeping track of his time at work over the past month. Answer the questions below using the information provided

Gala2k [10]

The total hours that Dinesh worked each week over the past month are as follows:

<h3>Dinesh's Time in Hours</h3>

Total Hours

Worked

Week 1 37.500

Week 2 36.071

Week 3 35.999

Week 4 34.570

Total 144.140

<h3>Data and Calculations:</h3><h3>Dinesh's Time in Hours</h3>

Meetings Administration Project X - Project X- Total Hours

Design Deliverables Worked

Week 1 7¹/₄ 4¹/₄ 23¹/₃ 2²/₃

Week 2 4²/₃ 2⁴/₇ 16¹/₃ 12¹/₂

Week 3 3.50 3.83 9.33 19.33

Week 4 6.17 3.40 4.20 20.80

<h3>Conversion into Dinesh's Time in Hours (decimals)</h3>

Meetings Administration Project X - Project X- Total Hours

Design Deliverables Worked

Week 1 7.250 4.250 23.333 2.667 37.500

Week 2 4.667 2.571 16.333 12.500 36.071

Week 3 3.500 3.833 9.333 19.333 35.999

Week 4 6.170 3.400 4.200 20.800 34.570

Total 21.587 14.054 53.199 55.300 144.140

Thus, Dinesh's total hours worked for the past month was <u>144.140 hours</u>.

Learn more about calculating hours worked at brainly.com/question/17054097

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2 years ago

Whitney kicks a football off the ground. The height, h , in feet, of the football above the ground after t seconds is given by h

malfutka [58]

Answer:

<em>after 4seconds</em>

Step-by-step explanation:

Given the height, h , in feet, of the football above the ground after t seconds expressed by h ( t ) = − 8 t^2 + 32 t, the height of the ball on the ground is 0feet.

Substitute h(t) = 0 into the expression and calculate t;

h ( t ) = − 8 t^2 + 32 t

0 = − 8 t^2 + 32 t

8t² = 32t

8t = 32

Divide both sides by 8

8t/8 = 32/8

<em>Hence the football hits the ground after 4seconds</em>

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3 years ago

The paper feed on a copying machine has room for a stack of paper 4.0 cm high. If 10 sheets of paper are 0.08 cm thick, how many

Ierofanga [76]

I don't know but I know it is going to be a lot

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3 years ago