2x²+3x-20=0 Using the quadratic steps, Please show the Steps

THANK YOUU

Answer:

b) The surface area

Step-by-step explanation:

Surface area of sphere formula,

→ 4πr²

Thus, option (b) is the answer.

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[tex]\blue\textsf{\textbf{\underline{\underline{Question:-}}}}[/tex]

What does the formula 4πr² give?

[tex]\blue\textsf{\textbf{\underline{\underline{Answer and how to Solve:-}}}}[/tex]

Formula for Volume of a Sphere:-

[tex]\bold{V=\displaystyle\frac{4}{3} \pi r^3}[/tex]

So the answer is not Option A.

Formula for Surface Area of a Sphere:-

[tex]\bold{A=4\pi r^2}[/tex]

This looks exactly like the formula we need.

So the right answer is

[tex]\boxed{\boxed{\underline{\bold{Option\:B}}}}[/tex]

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Answer:

(−7,−2)

Step-by-step explanation:

Use the vertex form, y=a(x−h)2+k, to determine the values of a, h, and k.

a=4

h=−7

k=−2

(−7,−2)

Answer:

y = -6

Step-by-step explanation:

Lines that are parallel have the same slope

y= 2 means that it is a horizontal line

The parallel line must be in the same form

y=

We want it through the point (-1,-6)

y = -6

For a wheelchair ramp with a length of 82 inches has a horizontal distance of 80 inches is mathematically given as

v = 18inches

Generally, the equation for vertical distance is mathematically given as

r^2 = h^2 + v^2

(82)^2 = (80)^2 +v^2

6724 = 6400 + v^2

v^2 = 6724-6400

v^2 = 324

v = [tex]\sqrt{324}[/tex]

v = 18inches

In conclusion, the ramp's vertical distance is

v = 18inches

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Answer:

here is the answer y = 15× - 80

You meant x³ = 1/8? Then x = 1/2

Answer: The answer is 1600.

Step-by-step explanation:

Answer:

1600

Step-by-step explanation:

40 * 40 = 1600

an easy way to figure this out is

4 * 4 = 16

add two zeros (since there are two zeros in 40 and 40)

1600 is your answer

hope this helps :)

Answer:

v = -14

Step-by-step explanation:

» Solution

Step 1: Distribute the -4 to the terms inside the parantheses.

Step 2: Add 28 to both sides.

Step 3: Divide both sides by -4.

Therefore, v = -14.

The Answers are B,C, and E

I got this by graphing the function of h(x) and the parent function f(x) on the same graph and analogizing the shifts of h(x) from the parent graph f(x). Also the function included two different y-intercepts.

Answer:

12

Step-by-step explanation:

[tex]3|-4| = 3(4) = 12[/tex]

Answer:

[tex] | - 4| = 4 \\ 3 \times 4 = 12[/tex]

Answer: I believe it would be when a pair of lines intersect, all of the angles formed are congruent.

Answer:

When a pair of lines intersect, the vertical angles are congruent.

:)

Answer:

5ft > can ride the roller coaster??

Step-by-step explanation:

im not 100% sure what u mean

Answer:

17

Step-by-step explanation:

[tex]\displaystyle Z=\frac{\text{Observed Value}-\text{Mean of the Sample}}{\text{Standard Deviation of the Sample}}\\\\Z=\frac{x-\mu}{\sigma}\\ \\-1.5=\frac{x-23}{4}\\ \\-6=x-23\\\\17=x[/tex]

Therefore, the observed value that gives a z-score of -1.5 is 17

Answer:

120 different outfits.

Step-by-step explanation:

10x4=40

40x3=

120

Answer:11 and 27

Step-by-step explanation:

11+16=27 and they are 16 years apart and because it says 5 years 27+5=32 and if you add 5 to 11 you get 16 and 16+16=32

Answer:

Step-by-step explanation:

Answer:

13.5

Step-by-step explanation:

Answer:

37.66

Step-by-step explanation:

Answer:

g(x) = log( x + 1 ) + 4

Step-by-step explanation:

f(x) is the parent equation so to get g(x) we shifted f(x) four units up and one unit to the left.

The theoretical possibility of choosing a red earring is 1/10, 10%.

The experimental possibility of choosing a red earring is 8/25, 32%

The theoretical possibility of choosing a blue earring is 1/5, 20%.

The experimental possibility of choosing a blue earring is 7/15 or 28%.

Theoretical probability determines the chances that a random event would happen.

Theoretical probability = number of the earing in the box / total number of earrings

Red earrings = 2/20 = 1/10 = 10%

Blue earrings = 4/20 = 1/5 = 20%

Experimental probability is based on the result of an experiment that has been carried out multiples times

Experimental probability = number of times the earing was chosen / number of time the experiment was conducted

The experimental possibility of choosing a red earring= 16/50

=  8/25, 32%

The experimental possibility of choosing a blue earring = 14/50 = 7/25 = 28%

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Answer:

x=12m

Step-by-step explanation:

44 divide by 3 2/3 = 12

The owners intend to store machinery in the undercover storage is a wise idea as it will not be exposed to too much sunlight or water damage.

Machinery is known to be any kind of mechanical, electrical, or electronic tool that has been set up to carryout some basic function.

Note that The owners intend to store machinery in the undercover storage is a wise idea as it will not be exposed to too much sunlight or water damage and as such it is advisable only in some cases.

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Answer:

1,067,610 cloth will be produced in 285 days

Step-by-step explanation:

- 3746 meters of cloth in a day

- in 285 days

3746 x 285 = 1,067,610

The area of a square is the square of its side. The area of the square is 2.2477 units².

The area of a square is the square of its side. It is given by the formula,

Area of the square = a²

Given the circumference of the circle is 9.42 units. Therefore, the radius of the circle can be written as,

Circumference of the circle = 2πr

[tex]\rm9.42\ units= 2\pi r\\\\r = \dfrac{9.42}{2\pi}\ units[/tex]

Now, as the side of the square is equal to the radius of the circle, therefore, the area of the circle will be equal to,

Area of the circle = a² = r²

[tex]\rm \text{Area of the circle }= (\dfrac{9.42}{2\pi})^2[/tex]

                            [tex]\rm = \times \dfrac{9.42}{2\pi} \times \dfrac{9.42}{2\pi}\\\\ = 2.2477\ units^2[/tex]

Hence, the area of the square is 2.2477 units².

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Answer:

So first we need to determine what the exponential growth function would look like.  Exponential growth functions look like [tex]P(t) = P_0*e^{r*t}[/tex] and in our case [tex]P_0[/tex] would be the initial population which is 6.63 million.  R is the next variable that we need to fill out which is the rate of change which in our case is 3.01% or 0.0301.

This is how our function should look now [tex]P(t)=6.63*e^{0.0301*t}[/tex]

Moving onto part b, we need to estimate the population of the city in 2018 which 6 years from 2012 and we plug that into t and solve.

[tex]P(t) = 6.63 * e^{0.0301*6}[/tex]

[tex]P(t) = 6.63*e^{0.1806}[/tex]

[tex]P(t) = 6.63 *1.1979[/tex]

[tex]P(t) = 7.9423\ million[/tex]

Moving onto part c, we need to find when the population of the city will be 11 million which will be done by setting P(t) to 11 million and solving for t.

[tex]11 = 6.63*e^{0.0301*t}[/tex]

[tex]\frac{11}{6.63} = \frac{6.63*e^{0.0301*t}}{6.63}[/tex]

[tex]1.659=e^{0.0301*t}[/tex]

[tex]ln(1.659)=ln(e^{0.0301*t})[/tex]

[tex]\frac{0.506}{0.0301}=\frac{0.0301*t}{0.0301}[/tex]

[tex]16.818\ years = t[/tex]

Moving onto part d, we need to find the doubling time.  This will be similar to the previous part but we will be finding the time it takes to double our population.  So instead of putting 11 million for P(t) we put 6.63 * 2 in there which is 13.26.

[tex]13.26 = 6.63*e^{0.0301*t}[/tex]

[tex]\frac{13.26}{6.63} = \frac{6.63*e^{0.0301*t}}{6.63}[/tex]

[tex]2=e^{0.0301*t}[/tex]

[tex]ln(2)=ln(e^{0.0301*t})[/tex]

[tex]\frac{0.693}{0.0301}=\frac{0.0301*t}{0.0301}[/tex]

[tex]23.028\ years = t[/tex]

Hope this helps!  Let me know if you have any questions

Answer:

Part A: 81.5%

Part B: About 95% of the data lie between 53 and 65.

Step-by-step explanation:

Note: the percentages marked in red and blue never change

For Part A, we add the percentages that are between 53 and 62. So, 34% + 34% + 13.5% which is 81.5%

For Part B, we can look at this graph and seen that 95% of this data set lies between 53 and 65

Hope this is correct and of help!

Answer:

y = x + 7

Step-by-step explanation: