Can someone please do #3?❤️

Answer:

9 and 20

Step-by-step explanation:

x = one number

y = 2x+2 = other number

xy = 190

x(2x+2) = 180

2x^2 +2x = 180

2x^2 +2x- 180 = 0

Factor out 2

x^2 +x -90 = 0

(x+10)(x-9) =0

Using the zero product property

x+10 = 0  x-9=0

x= -10  x=9

But they have to be positive

x = 9

y = 2x+2 = 2(9)+2 = 18+2 = 20

Answer:

2sqrt3

Step-by-step explanation:

Since this seems to be a 45, 45, 90 triangle, x and y are the same.

The hypoteneuse is always the side lengths *sqrt2

We divide the hypoteneuse by sqrt 2 and get sqrt12

sqrt12 simplified is 2sqrt3

Answer:

16 bookmarks were sold

Answer:

40

Step-by-step explanation:

They sold 9 book marks for every 2 books (9:2 ratio).

72/9 = 2/x

Cross multiply. 72 * x = 72x

9 * 2 = 18

72 divided by 18 = 40

Picture is the answer

Answer:

98 meters

Step-by-step explanation:

Simplify each side of the equation:

318 = 2(61+x)

318= (2)(61) + (2)(x)

318= 122 + 2x

Flip the equation:

2x + 122 = 318

Subtract 122 from each side:

2x + 122 − 122 = 318 − 122

2x = 196

Divide both sides by 2:

2x/2 = 196/2

x = 98

9514 1404 393

Answer:

  288 km²

Step-by-step explanation:

The surface area is the sum of the area of the square base and the area of the four triangular faces.

  SA = (10 km)² + 4(1/2)(10 km)(9.4 km) = 288 km²

____

The area formulas for a square and a triangle are ...

  A = s² . . . . area of a square of edge length s

  A = 1/2bh . . . . area of a triangle with base b and height h

Answer:

x = 1

y = 2

Step-by-step explanation:

5x + 2y = 9

-5x + 4y = 3

==> 6y = 12 ==> y = 12/6 ==> y = 2.

we replace y by its value in the first or the second equation, so will have:

5x + 2×2 = 9

5x + 4 = 9

5x = 5

x = 1

Answer:

Step-by-step explanation:

Each gallon of 7% milk contains 0.07 gallon of butterfat.

Each gallon of 4% milk contains 0.04 gallon of butterfat.

291 gallons of 6% milk contain 291×0.06 = 17.46 gallons of butterfat.

Let x be the number of gallons of 7% milk used. 291-x is the number of gallons of 4% milk used.

0.07x + 0.04(291-x) = 17.46

0.03x + 11.64 = 17.46

x = 200

Use 200 gallons of 7% and 91 gallons of 4%.

Answer:

it is missing a scale because it should be at the bottom of the map

Answers:

longer leg = 12 meters

hypotenuse = 13 meters

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Explanation:

Let's say the triangle has sides a,b,c such that a < b < c

Use the pythagorean theorem to solve for b

[tex]a^2 + b^2 = c^2\\\\5^2 + b^2 = (b+1)^2\\\\25 + b^2 = b^2+2b+1\\\\25 + b^2-b^2-2b-1 = 0\\\\-2b+24 = 0\\\\-2b = -24\\\\b = -24/(-2)\\\\b = 12[/tex]

The longer leg is 12 meters in length.

c = b+1 = 12+1 = 13

The hypotenuse is 13 meters long.

We have a 5-12-13 right triangle.

Answer:

Step 1:  Find the largest product

50 + 50 = 100

50 * 50 = 2500

Answer:  I believe that the largest product is 2500

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Explanation:

Piecewise functions are admittedly a bit confusing at first if you aren't familiar with them.

However, they aren't too bad. Effectively we have two functions going on depending on what the input is.

If the input x is less than 0, then we go for the top row and say [tex]f(x) = x^2[/tex]

OR

If the input x is greater than 0, then we go for the bottom row to say [tex]f(x) = \sqrt[3]{x}[/tex]

-------------------------------

In this case, the input is x = -8. So we go for the first row since this x value satisfies x < 0.

We would then say:

[tex]f(x) = x^2\\\\f(-8) = (-8)^2\\\\f(-8) = 64\\\\[/tex]

Which points us to choice A as the final answer.

Answer:

f(-8) = 64

Step-by-step explanation:

Input -8 into one of the formulas (either will work) and the answer should be 64. therefore, if x is -8, f(-8) would equal 64.

9514 1404 393

Answer:

Step-by-step explanation:

The Law of Cosines can be used to find the distance from the red boat to the lighthouse.

  b² = l² +r² -2lr·cos(B)

  b² = 18² +30² +2·18·30·cos(120°) = 1764

  b = √1764 = 42

The distance from the red boat to the lighthouse is 42 miles.

__

The angle at the lighthouse can be found using the law of sines.

  sin(L)/l = sin(B)/b

  L = arcsin(l/b·sin(B)) = arcsin(18/42·sin(120°)) ≈ 21.79°

The angle between the boats measured at the lighthouse is about 22°.

Answer:

sin A = 4/5

Step-by-step explanation:

Since this is a right triangle, we can use trig functions

sin A = opp / hyp

sin A = 24/ 30

Dividing the top and bottom by 6

sin A = 4/5

sinØ=Perpendicular/Hypotenuse

Answer:

A (5)

Step-by-step explanation:

        c represents the slope and a and b represent the two shorter sides of the right angled triangle ( x,y)

       [tex]c^{2}[/tex] = [tex]-4^{2} + 3^{2}[/tex]

            = 16 + 9

             = 25,

therefore [tex]\sqrt{c^{2} }[/tex] = [tex]\sqrt{25}[/tex]

                   c = 5

Answer:

11 and 8

Step-by-step explanation:

Let the integers be x and y. ATQ y-x=3 and x+y^2=129. Solving it, we will get x=8 and y=11

Answer:

4

Step-by-step explanation:

Slope = y2-y1/x2-x1

We need to find two points on the graph, let's take these two points:

(x1, y1) (X2,y2)

(0,-6) and (2,2)

(2-(-6)/ (2-0) = 8/2 = 4

Answered by Gauthmath

Answer:1.5

Step-by-step explanation:

Answer:

q = [tex]\sqrt{2}[/tex]

Step-by-step explanation:

Using the sine ratio in the right triangle and the exact value

sin30° = [tex]\frac{1}{2}[/tex] , then

sin30° = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{q}{2\sqrt{2} }[/tex] = [tex]\frac{1}{2}[/tex] ( cross- multiply )

2q = 2[tex]\sqrt{2}[/tex] ( divide both sides by 2 )

q = [tex]\sqrt{2}[/tex]

Answer:

B

Step-by-step explanation:

The domain goes from -4 to 9. It would not be brackets since the actual points are not on the graph so it would be parentheses.

Answer:

a) 2.06

b) variance = 270.90 , std = 275.14

Step-by-step explanation:

a) Determine Expected rate of return

attached below is the calculated table for the solution provided

∴ Expected rate of return = ∑ Xp(x) = -6.46 + 3.84 + 4.68 = 2.06

b) Determine the variance and standard deviation

Variance ( Vx ) = E(x)^2 - [ Expected rate of return ]^2

                         = 275.14 - ( 2.06 )^2 ≈ 270.90

standard deviation = √ variance = √270.90 = 16.459

note : E(x)^2 = ∑ x^2 p(x) = 275.14

Answer:

you will add the numerator and the denominator and or you look for lowest common factor

Hi there!

[tex]\large\boxed{a + b + c = 6}[/tex]

We can begin by using the point (0, 1).

At the graph's y-intercept, where x = 0, y = 1, so:

1 = a(0)² + b(0) + c

c = 1

We can now utilize the first point given (-3, 10):

10 = a(-3)² + b(-3) + 1

Simplify:

9 = 9a - 3b

Divide all terms by 3:

3 = 3a - b

Rearrange to solve for a variable:

b = 3a - 3

Now, use the other point:

15 = a(2)² + 2(3a - 3) + 1

14 = 4a + 6a - 6

Solve:

20 = 10a

2 = a

Plug this in to solve for b:

b = 3a - 3

b = 3(2) - 3 = 3

Add all solved variables together:

2 + 3 + 1 = 6

Answer:

The minimum number of subjects needed is 385.

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of [tex]\pi[/tex], and a confidence level of [tex]1-\alpha[/tex], we have the following confidence interval of proportions.

[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

In which

z is the z-score that has a p-value of [tex]1 - \frac{\alpha}{2}[/tex].

The margin of error is:

[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

95% confidence level

So [tex]\alpha = 0.05[/tex], z is the value of Z that has a p-value of [tex]1 - \frac{0.05}{2} = 0.975[/tex], so [tex]Z = 1.96[/tex].

95% confidence, within 5 percentage points, and a previous estimate is not known.

The sample size is n for which M = 0.05. We don't know the true proportion, so we use [tex]\pi = 0.5[/tex]

Then

[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

[tex]0.05 = 1.96\sqrt{\frac{0.5*0.5}{n}}[/tex]

[tex]0.05\sqrt{n} = 1.96*0.5[/tex]

[tex]\sqrt{n} = \frac{1.96*0.5}{0.05}[/tex]

[tex](\sqrt{n})^2 = (\frac{1.96*0.5}{0.05})^2[/tex]

[tex]n = 384.16[/tex]

Rounding up:

The minimum number of subjects needed is 385.

Answer:

682

Step-by-step explanation:

191,919 + 262,626

454545 ÷ 666 = 682.5

Thus meaning 682 bags will have 666 berries and one bag will have 333 berries.

Answer:

200

Step-by-step explanation:

6.6/3.3 = 2

10^-2 - (-4) = 10^2

The answer is 2 * 10^2 or 200.

Step-by-step explanation:

a1. The shape will be a vertical or horizontal line.

a2. The shape will be shaped like a diagonal line increasing as we go right.

a3. The shape will be shaped like a diagonal line decreasing as we go right.

a4. The shape will be shaped like a U facing upwards.

a5.The shape will be shaped like a U facing downwards.

a6. The shape will look like a S shape and it increases as we go right.

a7. The shape will look like a S shape and it decreases as We go right.

a8. The shape look like a W shape and it facing upwards.

a9. The shape look a W shape facing downwards.

We are given function.

[tex]x {}^{5} - 3x {}^{4} - 5x {}^{3} + 5x {}^{2} - 6x + 8[/tex]

b. We can test by the Rational Roots Test,

This means a the possible roots are

plus or minus(1,2,4,8).

c. If we apply Descrates Rule of Signs,

d. Use Desmos to Graph the Function. Some roots are (-2,1,4).

e.

[tex](x {}^{2} + 1) (x - 1)(x - 4)(x + 2)[/tex]

f. The complex zeroes are

i and -i

Polynomial [tex]f(x) = x^{5} -3x^{4} - 5x^{3} + 5x^{2} - 6x + 8[/tex] in factor form: (x-1)(x+2)(x-4)(x-i)(x+i)

A polynomial is an expression consisting of indeterminates and coefficients, that involves only the operations of addition, subtraction, multiplication, and non-negative integer exponentiation of variables.

Shape of the graph for the following polynomial:

Finding zeros of the polynomial given:

[tex]f(x) = x^{5} -3x^{4} - 5x^{3} + 5x^{2} - 6x + 8[/tex]

By factor theorem, if f(t) = 0, t is a zero of the polynomial.

Taking t = 1.

f(1) = 1 - 3 - 5 + 5 - 6 + 8 = 0

(x - 1) is a factor of the polynomial f(x).

Divide f(x) by (x-1) using long division to find the other factors.

f(x)/(x-1) = [tex]x^{4} -2x^{3}-7x^{2} -2x-8[/tex] is also a factor of f(x).

Factorizing it further:

g(x) = [tex]x^{4} -2x^{3}-7x^{2} -2x-8[/tex]

g(-2) = 16 + 16 - 28 + 4 - 8 = 0

(x + 2) is a factor of g(x) and thus f(x).

g(x)/(x+2) = [tex]x^{3} - 4x^{2} +x - 4[/tex] is a factor of f(x).

Factorizing it further:

k(x) = [tex]x^{3} - 4x^{2} +x - 4[/tex]

k(4) = 64 - 64 + 4 - 4 = 0

(x - 4) is a factor of k(x) thus of f(x).

k(x)/(x-4) = [tex]x^{2} +1[/tex]

Factorizing it further:

l(x) = [tex]x^{2} +1[/tex] = (x + i)(x - i)

Zeros of f(x) = 1, -2, 4, ±i

Rational zeros :  1, -2, 4

Positive real zeros: 1, 4

Negative real zeros: -2

Complex zeros: ±i

Polynomial in factor form: (x-1)(x+2)(x-4)(x-i)(x+i).

Learn more about polynomial here

https://brainly.com/question/11536910

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Answer: 0, 5

Step-by-step explanation: a translation is just like sliding the object in this case a triangle/point on the triangle. so the point it is at now is -2, 5 because it is 2 to the left and 5 up. and if you go to the right 2. then you are adding 2 to the x value. so -2 +2 = 0. which is how you get 0, 5

Answer:

the last one

Step-by-step explanation: