Use the quadratic formula to solve the equation 2y^ +6y-8=0

Answers

Answer 1

Answer: To solve this problem you must apply the proccedure shown below:

1. You have the following quadratic equation, which is given in the problem above:

2y^2+6y-8=0

2. So, to solve it, you can use the quadratic formula, which is:

y=(-b±√(b²-4ac))/2a

a=2
b=6
c=-8

3. When you susbtitute these values into the formula, you obtain:

y1=-4
y2=1

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A cylinder has a height h, and a radius (3h-2)The area of the base is pi (3h-2)^2

The volume of the clinder is V= pi(3h-2)^2h

10. Multiply the polynomials to simplify the expression for the volume:

V=pi(3h-2)^2h by

Answers

Answer:

$V= 4\pi (9h^2 -12h + 4)$

Step-by-step explanation:

Given

Shape: Cylinder

$Radius = 3h - 2$

$Height = h$

$Base\ Area = \pi (3h - 2)^2$

Required

Simplify the volume

The volume is calculated as:

$Volume = Base\ Area * Height$

Substitute values for Base Area and Height

$V= \pi(3h-2)^2*h$

Expand the bracket

$V= \pi(3h-2)(3h-2)*h$

Open brackets

$V= \pi (9h^2 -6h - 6h + 4) *h$

$V= \pi (9h^2 -12h + 4) *h$

$V= 4\pi (9h^2 -12h + 4)$

If $75 is invested at an interest rate of 8% per year and is compounded monthly, how much money is in the account in 15 years?

Answers

The amount of money is $248.02.

Principal amount = P=75

Interest rate = r = 8% = 0.08

Number of years = t = 15

Number of times compounded in a year = n = 12

A = Amount after t years.

After 15 years there will be:

$A=P\left(1+(r)/(n)\right)^(nt)\nA=75\left(1+(0.08)/(12)\right)^(\left(12\cdot15\right))\nA=248.019110806\nA \approx 248.02$

Learn more: brainly.com/question/10241002

Answer:

$248.03

Step-by-step explanation:

The formula you use for this is as follows:

$A(t)=P(1+(r)/(n))^(nt)$

where A(t) is the amount after the compounding is done, P is the initial amount invested, r is the interest rate in decimal form, n is the number of times the compounding is done per year, and t is the time in years. Using that information and filling in our equation gives us this:

$A(t)=75(1+(.08)/(12))^((12)(15))$

which simplifies down to

$A(t)=75(1+.0066667)^(180)$

which simplifies further to

$A(t)=75(3.307118585)$

which multiplies to $248.0338938. Round to the nearest cent to get your answer.

Which sequence shows the numbers in order from least to greatest?A. 7 5/6, √132, |-5 x 10^2|
B. |-5 x 10^2|, √132, 7 5/6
C. |-5 x 10^2|, 7 5/6, √132
D. √132, 7 5/6, |-5 x 10^2|

Answers

A. is the answer did you need an explanation

The Answer is C. |-5 x 10^2 =-500

Assume that you plan to use a significance level of α = 0.05 to test the claim that p1 = p2. Use the given sample sizes and numbers of successes to find the pooled estimate. Round your answer to the nearest thousandth. n1 = 677 n2 = 3377
x1 = 172 x2 = 654

Answers

Answer:

The calculated value Z = 3.775 > 1.96 at 0.05 level of significance

Null hypothesis is rejected

The Two Population proportion are not equal

Step-by-step explanation:

Given first sample size n₁ = 677

First sample proportion

$p^(-) _(1) = (x_(1) )/(n_(1) ) = (172)/(677) = 0.254$

Given second sample size n₂ = 3377

second sample proportion

$p^(-) _(2) = (x_(2) )/(n_(2) ) = (654)/(3377) = 0.1936$

Null Hypothesis : H₀ : p₁ = p₂.

Alternative Hypothesis : H₁ : p₁ ≠ p₂.

Test statistic

$Z = \frac{p_(1) ^(-)-p^(-) _(2) }{\sqrt{P Q((1)/(n_(1) ) +(1)/(n_(2) )) } }$

where

$P = (n_(1) p_(1) + n_(2) p_(2) )/(n_(1)+n_(2) ) = (677 X 0.254+3377 X 0.1936)/(677+3377)$

P = 0.2036

Q = 1 - P = 1 - 0.2036 = 0.7964

$Z = \frac{0.254- 0.1936 }{\sqrt{0.2036 X 0.7964((1)/(677 ) +(1)/(3377 )) } }$

Z = 3.775

Critical value ∝=0.05

Z- value = 1.96

The calculated value Z = 3.775 > 1.96 at 0.05 level of significance

Null hypothesis is rejected

The Two Population proportion are not equal

-8x-x=x-4x plz do it step by step ans show me

Answers

Answer: 3x - x = 0

Step-by-step explanation:

1.Simplify -8x - x to -9x.

2. Simplify x - 4x to -3x.

3. Divide both sides by -3.

4. Subtract x from both sides.

5. Simplify 3x - x to 2 x.

6. Divide both sides by 2.

The answer is 3x-x=0

Can you help me please

Answers

I believe the correct answer is 18

the answer to your problem is 5 ☺️

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