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2 years ago

Solve the equation 6(2x+4)^2=(2x+4)+2 a x=-5/3 or -9/4

Mathematics

2 answers:

m_a_m_a [10]2 years ago

8 0

Answer:

-5/3 or -9/4 is the answer

Step-by-step explanation:

Just completed it

9966 [12]2 years ago

6 0

Answer:

x=5/3

Step-by-step explanation:

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A psychological researcher did a study with a sample of 84 boys and found that the meam length of time that they remained engage

Varvara68 [4.7K]

Sample size= n= 84
sample mean= x = 107 s
population standard deviation =σ= 11.7

As, population standard deviation is given so we use the estimate:
x(+/-) z(α/2)(σ/√n)

At 99% Confidence interval means significance level is α=1-0.99= 0.01
So,
α/2=0.005
Now, z at α/2=0.005
z= 2.576
Now, by putting values
107(+/-)((2.576)(11.7/√84))
( 107-((2.576)(11.7/√84)), 107+((2.576)(11.7/√84)) )
(103.7, 110.288)

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2 years ago

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2 years ago

An object is thrown upward from the top of a 192 ft building with an initial velocity of 64 feet

Airida [17]

Answer:

t=6

Step-by-step explanation:

ground height = 0

(are you sure your formula is correct? isn't it - 16t²?)

if h=16t² +64t+192 is true then

16t² +64t+192 = 0

t² + 4t + 12 = 0

t = (-4 ± √(4² - 4*12)) / 2*1 = (-4 ± √-32) / 2 = -2 ± 2√-2

There is no solution of t

if it is h= - 16t² +64t+192

0 =- 16t² + 64t + 192

t² - 4t - 12 = 0

(t + 2) (t -6) = 0

t should be positive

t = 6 sec

7 0

2 years ago

Slope 8 ; through (4,3)

Reptile [31]

Answer:

y=8x-29

Step-by-step explanation:

Since we know the slope (m) is 8, we can plug it in the slope-intercept formula y=mx+b, making y=8x+b.

Now we need to find the y-intercept (b). To do that, you would need to plug in the points given to you, which were (4,3).

x=4, y=3... so 3=8(4)+b

Now you can solve for the variable b to find the y-intercept.

3=8(4)+b, multiply...

3=32+b, subtract 32 on both sides...

-29=b

Therefore, the y-intercept, or b, is -29.

The equation would be y=8x-29

7 0

2 years ago

Please help I don't understand this

Effectus [21]

The correct answer is: [C]:  " $\frac{7}{18}$ " .
____________________________________________________
Explanation:
____________________________________________________
Given:
____________________________________________________

2 / (9x) = 4 / 7 ; solve for "x" ;
____________________________________________________

Cross-multiply:

→ (9x)*4 = 2 * 7 ;

  → 36x = 14 ;

Divide each side of the equation by "36" ;
to isolate "x" on one side of the equation; & to solve for "x" ;

→ 36x / 36 = 14 / 36 ;

x = 14/ 36 ;

  → x = 14/36 = (14÷2) / (36÷2) = 7/18 ;
______________________________________________________

The answer is: " $\frac{7}{18}$ " ;

→ which is: Answer choice: [C]: " $\frac{7}{18}$ " .
______________________________________________________

7 0

2 years ago