What is 3 2/4 in simplest form

Answer:

Add 8 to both sides of the equation.

−6x²−2−3x+8=0 Add −2and 8.

−6x²−3x+6=0

Factor −3 out of −6x²−3x+6.

−3(2x²+x−2)=0

Divide each term by −3 and simplify.

2x²+x−2=0

Use the quadratic formula to find the solutions.

(−b±√b2−4(ac))/2a

Substitute the values a=2 , b=1, and c=−2 into the quadratic formula and solve for x .

(−1±√12−4⋅(2⋅−2))/(2⋅2) Simplify.

x=−1±√174

The final answer is the combination of both solutions.

x=(−1−√17)/4, (−1+√17/)4

The result can be shown in multiple forms.

Exact Form:

x=(−1−√17)/4, (−1+√17)/4

Step-by-step explanation:

Answer:

4 3/4 is the mixed form

hope this helps!

4,38 * 10⁴ = 4,38 * 10 000 = 43 800

Answer:

the answer is no they will not be all underweight, they will have a 5% chance of being underweight.  They will probably be overweight if you just pick 3.

Step-by-step explanation:

The probability of two Americans will be underweight will be 0.0324.

The probability of an event occurring is defined by probability.

Probability is also called chance because if you flip a coin then the probability of coming head and tail is nothing but chances that either head will appear or not.

As per the given,

Probability of selecting one American will be underweight = 18% = 0.18

Probability of the second one will be underweight = 0.18

Probability of both will be underweight = 0.18² = 0.0324

Hence "The probability of two Americans will be underweight will be 0.0324".The probability

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Answer:

172.12 sq in

Step-by-step explanation:

The figure is comprised of a semicircle, and 2 rectangles

Area of semicircle = 1/2(3.14)4^2 = 25.12

Area of rectangle with length of 9 and width of 7 = 7(9) = 63

Area of rectangle with length of 14 and width of 6 = 6(14) = 84

Total area = 25.12 + 63 + 84 = 172.12 sq in

Answer:

3.14

Step-by-step explanation:

A = 3.14(1)²

A = 3.14(1)

A = 3.14

Answer:

3.18

Step-by-step explanation:

Answer:

The expected number of defective lava lamps in a week is 3.72.

Step-by-step explanation:

To find the expected number of defective, we multiply each outcome by its probabilities.

The probability of each outcome is:

P(X = 0) = 0.01

P(X = 1) = 0.05

P(X = 2) = 0.15

P(X = 3) = 0.21

P(X = 4) = 0.22

P(X =  5) = 0.3

P(X = 6) = 0.06

Expected number:

Multiplying each outcome by its probability:

E(X) = 0*0.01 + 1*0.05 + 2*0.15 + 3*0.21 + 4*0.22 + 5*0.3 + 6*0.06 = 3.72

The expected number of defective lava lamps in a week is 3.72.

Answer:

5000000:3

Step-by-step explanation:

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Answer:

Step-by-step explanation:

Ratio means division, simply we divide, and we get 3:5000000

This is the ratio of human to ants

Answer:

Umm, it test to go into high school is pretty simple

Step-by-step explanation:

Just go with your gut, because its very simple, believe in your self and don't double guess yourself! I believe in you, and Good Luck!

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Answer:

The original price is 70.77

But I'm not sure

Step-by-step explanation:

71.86 - 1.09= 70.77$

Answer:

Marika's calculation is correct

Step-by-step explanation:

Lori has erroneously identified a common ratio of the geometion sequence

one has to divide subsequent term by the preceding term as was correctly by Marika. so Marika's calculation is correct.

hope it helps...

have a great day !!!

Answer:

Step-by-step explanation:

lcm = 3150

hcf= 15

The solution of the inequality 2(x - 4) + 14 < x - 1 is:

x < -7

Here we have the following inequality:

2(x - 4) + 14 < x - 1

To solve it, we need to isolate the variable in one of the sides, so let's do that.

Expanding the right side we will get:

2x - 8 + 14 < x - 1

2x + 6 < x - 1

Now group like terms:

2x - x < - 1 -6

x < -7

That is the solution.

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Answer:

Because you ate too many random things that makes 300 different colors

Step-by-step explanation:

yes i think

Answer:

186.2 in^2

Step-by-step explanation:

7*9.5*2.8=186.2

Step-by-step explanation:

8) Area of circle =

[tex]\pi {r}^{2} [/tex]

Radius = 1/2 of diameter (Diameter = 2x radius)

Radius = 1/2 × 10 in = 5 in.

Area of circle =

[tex]\pi {5}^{2} = 25\pi {in}^{2} [/tex]

11) Radius = 1/2 × 6m = 3m

Area of Circle =

[tex]\pi {3}^{2} = 9\pi {m}^{2} [/tex]

Note that I will leave both answers in terms of pi as I am not sure how you want to leave your answer as.

Answer:

area = πr×r

r = d/2

area = π (d/2)×(d/2)

so for problem 8,

area = pi×5×5 = 25π = 78.539 inches squared

continue the same logic for the next questions

Answer:

-4.25

Step-by-step explanation:

Y = -4

Z = ?

-4Z = 17

Z = -4.25

Rearrange:

6(-9w+7)-4w

Distribute:

-54w+42-4w

Combine the like terms:

-54w-4w

-58w

So, you get...

Answer:

It is equal to 80.9

Step-by-step explanation:

Please give me brainliest I would appreciate it

Answer:

b=8•P

Step-by-step explanation:

The equation for the total number of bottles, b, in p packages, is b = 8p.

An equation contains one or more terms with variables connected by an equal sign.

Example:

2x + 4y = 9 is an equation.

2x = 8 is an equation.

We have,

Each package of sports drinks contains 8 bottles.

The total number of bottles, b, in p packages.

b = 8p

Here,

p represents the number of packages of sports drinks that Harris stacks on the shelf.

Multiplying the number of packages by the number of bottles in each package gives the total number of bottles that Harris stacks on the shelf.

Thus,

The total number of bottles, b, in p packages.

b = 8p

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Answer:

so 2x+3x+130=180

so 5x+130=180

5x=50

so 2x =20

3x which is angle a is equal to 30 degree

Answer:

The measure of angle A is 30 degrees.

Step-by-step explanation:

Since all triangles are equal to 180 degrees, you take set up an equation where u add 2x and 3x to get 5x and u add that to 130 and set it equal to 180

2x+3x+130=180 ( combine like terms)

5x=50 (subtract 130 from both sides to isolate our variable which is x)

x=10 (divide both sides by 5 to get rid completly isolate our variable)

Now we know x=10 you can plug that in as our x value so 3x becomes 3*10 which equals 30 which is your answer.

Answer:

Step 1: Find the prime factorization of the number inside the radical. Step 2: Determine the index of the radical. In this case, the index is two because it is a square root, which means we need two of a kind. Step 3: Move each group of numbers or variables from inside the radical to outside the radical.

Answer:

2.04

Step-by-step explanation:

To find this we have to subtract 15 from both sides.

15 + z = 17.04

-15        -15

z = 2.04

Answer:

see below

Step-by-step explanation:

a- 0.2

as 0.35 + 0.45=0.8

1-0.8=0.2

c. 112

b. im not sure what b is but if i work it out ill add it as an additional comment :)

Answer:

If you get the maximum grade in the last test, your average grade will still be below 0.9 = 90%, which means that it is not possible to average a 90%.

Step-by-step explanation:

Average grade:

The average grade is given by the sum of all averages, divided by the number of tests.

In this question:

99%, 67%, 83%, and 86%.

Next test counts twice, which means that in total, there are 6 tests.

Is it possible to average a 90%?

The maximum grade in a test is 100% = 1. I will calculate the average grade you get a 100% on the last test, which is worth 2. So

[tex]M = \frac{0.99+0.67+0.83+0.86+2*1}{6} = \frac{5.35}{6} = 0.892[/tex]

If you get the maximum grade in the last test, your average grade will still be below 0.9 = 90%, which means that it is not possible to average a 90%.

Answer:

Corals, some sponges, some acoel flatworms, and echinoderm larvae.

Step-by-step explanation:

Take an arbitrary interval [a, b], where a < b.

Compute the arc length L of y = f(x) over [a, b] :

[tex]L=\displaystyle\int_a^b\sqrt{1+\left(f'(x)\right)^2}\,\mathrm dx[/tex]

Now comptue the area A under the curve y = f(x) over [a, b] :

[tex]A=\displaystyle\int_a^bf(x)\,\mathrm dx[/tex]

We have

f (x) = 1/4 e ⁻ˣ + e ˣ   →   f ' (x) = -1/4 e ⁻ˣ + e ˣ

Then

√(1 + (f ' (x))²) = √(1 + (-1/4 e ⁻ˣ + e ˣ)²)

… = √(1 + 1/16 e ⁻²ˣ - 1/2 + e ²ˣ)

… = √(1/16 e ⁻²ˣ + 1/2 + e ²ˣ)

… = 1/4 √(e ⁻²ˣ + 8 + 16e ²ˣ)

… = 1/4 √((e ⁻ˣ + 4 e ˣ)²)

… = 1/4 (e ⁻ˣ + 4 e ˣ)

… = 1/4 e ⁻ˣ + e ˣ

… = f (x)

so both A = L for any choice of interval [a, b].

It is true that the arc length on any interval has the same value as the area under the curve.

The function is given as:

[tex]f(x) = \frac 14e^{-x} + e^x[/tex]

Differentiate the function

[tex]f'(x) = -\frac 14e^{-x} + e^x[/tex]

On any interval, the following must be true

[tex]f(x) =f'(x)[/tex]

and

[tex]f(x) = \sqrt{1 + (f'(x))^2}[/tex]

So, we have:

[tex]f(x) = \sqrt{1 + (-\frac 14e^{-x} + e^x)^2}[/tex]

Expand the exponents

[tex]f(x) = \sqrt{1 + (\frac{1}{16}e^{-2x} - \frac 12 + e^{2x})}[/tex]

Remove the bracket

[tex]f(x) = \sqrt{1 + \frac{1}{16}e^{-2x} - \frac 12 + e^{2x}}[/tex]

Evaluate the like terms

[tex]f(x) = \sqrt{\frac{1}{16}e^{-2x} + \frac 12 + e^{2x}}[/tex]

Multiply by 16/16

[tex]f(x) = \sqrt{\frac{16}{16}(\frac{1}{16}e^{-2x} + \frac 12 + e^{2x})}[/tex]

So, we have:

[tex]f(x) = \sqrt{\frac{1}{16}(e^{-2x} + 8 + 16e^{2x})}[/tex]

Take the square root of 1/16

[tex]f(x) = \frac{1}{4}\sqrt{e^{-2x} + 8 + 16e^{2x}}[/tex]

Express the radical as a perfect square

[tex]f(x) = \frac{1}{4}\sqrt{(e^{-x} + 4e^{x})^2}[/tex]

Evaluate the exponents

[tex]f(x) = \frac{1}{4} * (e^{-x} + 4e^{x})[/tex]

Evaluate the products

[tex]f(x) = \frac{1}{4}e^{-x} + e^{x}[/tex]

Hence, it has been proved that  the arc length on any interval has the same value as the area under the curve.

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