In the lab, Goran has two solutions that contain alcohol and is mixing them with each other. Solution A is 40% alcohol and Solution B is 10% alcohol. He uses 800 milliliters of Solution A. How many milliliters of Solution B does he use, if the resulting mixture is a 30% alcohol solution?

Answer:

B. 33

Step-by-step explanation:

45/30 = x/22

3/2 = x/22

2x = 3 * 22

x = 3 * 11

x = 33

Answer:

B. 33

Step-by-step explanation:

39 / 26 = 1.5

45 / 30 = 1.5

22 x 1.5 = 33

Answer: Mass of a typical house cat:

Automatically eliminate B and D since they are not metric unit for mass

So, that leaves us with A and C. And since a cat is not huge nor weighs that much, the most reasonable one would be to measure it in grams.

Correct answer: C

Answer:

Angle x is 75 degrees because 180-105 = 75  so the angle next to 105 is the alternate exterior angle to angle x which means they are equal

Step-by-step explanation:

Answer:

a) 75 deg

b) see below

Step-by-step explanation:

a)

x + 105 = 180

x = 75

b) <x and <ABF are supplementary since they are a linear pair, so

x + m<ABF = 180

Since lines AD and EH are parallel, corresponding angles ABF and EFG are congruent.

m<ABF = m<EFG

x + m<EFG = 180

x + 105 = 180

x = 75

Answer:

A

Step-by-step explanation:

The rhombus cuts the shorter side of the rectangle in half so it's equal to 5

we use pythagoras

[tex]13^{2} = 5^2+x^2\\x^2= 169-25\\x^2= 144\\x=12[/tex]

so the larger side is 2x=24

so the area is 24*10=140cm^2

Answer:

Interior = 60°

Exterior = 120°

Step-by-step explanation:

A triangle has 180° in total.

We have 2 angles, 70 and 50

70 + 50 = 120

For Angle U, we do 180-120 = 60

So the interior angle is 60°

A line is straight and is 180°

With angle U being 60°, and being on a straight line, 180-60 = 120

So exterior angle is 120°

Answer:

The measure of the exterior angle is 120 degrees.

The measure of the interior angle is 60

Step-by-step explanation:

To find the missing exterior angle, we need the adjacent angle measurement first. To do this, we add up all the interior angles and get 120 degrees. We need to subtract this from 180 in order to get the missing interior which is 60. Now, we subtract 60 from 180 to get the exterior angle since it is a supplementary angle. Hope this helped!

Answer:

Step-by-step explanation:

A radius to the tangent point always forms a right angle with the tangent.

m∠OAB = m∠OCB = 90°

[tex]m\angle AOC=\stackrel{\big{\frown}}{ADC}=96^o[/tex]

The sum of the angles in the quadrilateral is 360°, so:

x = 360° - 2•90° - 96° = 84°

Answer:

k= l/3 - 14/3j

Step-by-step explanation:

l = 14j + 3k

Solve for k

l = 14j + 3k

Subtract 14j from both sides

l - 14j =14j + 3k - 14j

l - 14j = 3k

Divide both sides by 3

l - 14j / 3=3k / 3

k= l/3 - 14/3j

Or

1/3(l - 14j) = k

Answer:

Which expression is equivalent to ‐10

k

‐

10

?

Step-by-step explanation:

Answer:

La cantidad de cartón necesaria para hacer el sólido es de 165 m² de cartón.

Step-by-step explanation:

La figura en la pregunta consta de tres formas

1) Una pirámide cuadrada

Altura inclinada = 5 m

Longitud lateral base = 3 m

2) un cubo

Longitud lateral, s = 3 m

3) Un prisma rectangular

Longitud = 6 m

Altura = 3 m

Ancho = 3 m

El área de superficie de la pirámide cuadrada, [tex]S_P[/tex] = 2 × Altura inclinada × Longitud del lado base

[tex]S_P[/tex] = 2 × 5 × 3 = 30 m²

El área de superficie del cubo, [tex]S_C[/tex] = 6 ×(Longitud lateral, s)²

[tex]S_c[/tex] = 6 × 3² = 54 m²

El área de superficie del prisma rectangular, [tex]S_R[/tex] = 4 × largo × alto + ancho × alto

[tex]S_R[/tex] = 4 × 6 × 3 +  3 × 3 = 81 m²

La cantidad de cartón necesaria para hacer el sólido, [tex]S_S[/tex] = [tex]S_P[/tex] +  [tex]S_C[/tex] +  [tex]S_R[/tex]

[tex]S_S[/tex] = 30 + 54 + 81 = 165 m².

La superficie del cartón necesaria para construir el sólido es de 165 m².

Answer:

Part A:

[tex]\left(x + 7\right)^{5}=x^{5} + 35 x^{4} + 490 x^{3} + 3430 x^{2} + 12005 x + 16807[/tex]

Part B:

The closure property describes cases when mathematical operations are CLOSED. It means that if you apply certain mathematical operations in a polynomial it will still be a polynomial. Polynomials are closed for sum, subtraction, and multiplication.

It means:

[tex]\text{Sum of polynomials } \Rightarrow \text{ It will always be a polynomial}[/tex]  

[tex]\text{Subtraction of polynomials } \Rightarrow \text{ It will always be a polynomial}[/tex]  

[tex]\text{Multiplication of polynomials } \Rightarrow \text{ It will always be a polynomial}[/tex]  

But when it is about division:

[tex]\text{Division of polynomials } \Rightarrow \text{ It will not always/sometimes be a polynomial}[/tex]  

Example of subtraction of polynomials:

[tex](2x^2+2x+3) - (x^2+5x+2)[/tex]

[tex]x^2-3x+1[/tex]

Step-by-step explanation:

First, it is very important to define what is a polynomial in standard form:

It is when the terms are ordered from the highest degree to the lowest degree.

Therefore I can give:

[tex]x^5-5x^4+3x^3-3x^2+7x+20[/tex]

but,

[tex]x^5+3x^3-3x^2+7x+20-5x^4[/tex] is not in standard form.

For this question, I can simply give the answer: [tex]x^5-5x^4+3x^3-3x^2+7x+20[/tex] and it is correct.

But I will create a fifth-degree polynomial using this formula

[tex]$(a+b)^n=\sum_{k=0}^n \binom{n}{k} a^{n-k} b^k$[/tex]

Also, note that

[tex]$\binom{n}{k}=\frac{n!}{(n-k)!k!}$[/tex]

For [tex]a=x \text{ and } b=7[/tex]

[tex]$\left(x + 7\right)^{5}=\sum_{k=0}^{5} \binom{5}{k} \left(x\right)^{5-k} \left(7\right)^k$[/tex]

[tex]\text{Solving for } k \text{ values: } 0, 1, 2, 3, 4 \text{ and } 5[/tex]

Sorry but I will not type every step for each value of [tex]k[/tex]

The first one is enough.

For [tex]k=0[/tex]

[tex]$\binom{5}{0} \left(x\right)^{5-0} \left(7\right)^{0}=\frac{5!}{(5-0)! 0!}\left(x\right)^{5} \left(7\right)^{0}=\frac{5!}{5!} \cdot x^5= x^{5}$[/tex]

Doing that for [tex]k[/tex] values:

[tex]\left(x + 7\right)^{5}=x^{5} + 35 x^{4} + 490 x^{3} + 3430 x^{2} + 12005 x + 16807[/tex]

Answer:

Ty for the free pointsd!

Step-by-step explanation:

Answer:

8x for plato

Step-by-step explanation:

Answer:

[tex](x-7)^2+(y-3)^2=7^2[/tex]

Step-by-step explanation:

[tex](x-h)^{2}+(y-k)^{2}=r^{2}\\[/tex]

Thus,

[tex](x-7)^2+(y-3)^2=7^2[/tex]

Answer: 5.79

36

16 cost

Step-by-step explanation:

Answer:

20°

Step-by-step explanation:

4x+3x+2x=180°(Sum of interior anglevof triangle)

9x=180°

x=20°

I Hope this will be helpful for you.

20

Step-by-step explanation:

Just add the all terms and trim as equation then solve it simple ^ω^ .

[tex] \sf4x + 3x + 2x = 180 \degree[/tex]

[tex][ \sf \: \because \: Sum \: of \: all \: interior \: angle \: of \: a \: trianlge \: is \: 180 \degree][/tex]

[tex]9x = 180[/tex]

[tex]x = \dfrac{180}{9} [/tex]

[tex]x = 20[/tex]

The required value of x is 20

Answer:

negative correlation

Step-by-step explanation:

Asked my teacher

Answer:

[tex]\boxed{f[ g(3) ] = 673}[/tex]

Step-by-step explanation:

[tex]f(x) = 4x^2 - 3 \\ g(x) = 5x - 2[/tex]

[tex]f(g(3))[/tex]

[tex]f(5(3)-2)[/tex]

[tex]f(15-2)[/tex]

[tex]f(13)[/tex]

[tex]f(13)=4(13)^2 -3[/tex]

[tex]f(13)=4(169) -3[/tex]

[tex]f(13)=676-3[/tex]

[tex]f(13)=673[/tex]

Answer:

f[g(3)] = 673

Step-by-step explanation:

I took the test

Answer:

B. Te procedure for constructing the confidence interval is robust. The larger the sample size, the more resistance the mean. Therefore, the confidence interval is more robust.

Step-by-step explanation:

Misentered data illustrates the concept that if the sample size is larger it will be more resistance to mean. This means confidence interval is more robust. In statistics, robust is a modification of confidence interval. It refers to strength of statistical model. Robust statistics is resistant to errors in statistical model.

Answer:

208 cm²

Step-by-step explanation:

First, you take the area of the whole rectangle, to do this you simply multiply 30 by 15, meaning that the big rectangle’s area is 450 cm².

Then, you take the area of the small rectangle (the unshaded one), to do this, you simply figure out the sides (they end up being 11 cm and 22 cm, you can find this out through subtracting) and to find the area of this rectangle, you multiply 11 by 22, which gives you 242 cm²

Now all that is left to do is to subtract the unshaded area by the whole rectangles area to find the shaded part! This will look like this: 450-242= 208 cm²

Answer:  $1,077.50   or   $1,078.06 (see below)

Step-by-step explanation:

Since the interest is applied after 1 year and the debt was repaid in 8 months, no interest was accrued on the $2,550 loan.

Thus, the price of the tv is: $2,550 - $1,422.50 = $1,077.50

Note: If interest is charged for the 8 months (3/4 of a year), then the interest added to the loan amount is: 0.75(3/4) = $0.56

⇒ the the price of the tv is: $1,077.50 + $0.56 = $1,078.06

Step-by-step explanation:

cross multiply to get 3x:= 10( -5/2)

3x=-25

x=25/3

x=8 rem 1

8.33

Answer:

(19 , -14)

Step-by-step explanation:

Find the distance in between each x & y for a coordinate.

Let: (x₁ , y₁) = (-1 , 2)

Let: (x₂ , y₂) = (9 , -6)

From x₁ ⇒ x₂: 9 - (-1) = 10

From y₁ ⇒ y₂: -6 - 2 = -8 = 8*

*Remember that distance cannot be negative, but for the sake of this question, we will leave it as -8.

The distance between the x points are in intervals of 10. The distance between the y points are in intervals of 8. Add 10 & subtract 8 to their respective numbers to get endpoint 2:

(9 (+ 10) , -6 (- 8)) = (19 , -14)

Endpoint 2 = (19 , -14)

~

Answer:

Step-by-step explanation:

Given,

D = diameter of semicircular part = 42 m

L = Length of straight part = 110 m

Now, let's find the perimeter:

= 2 ( length of semi-circle + length of straight part )

[tex] = 2( \frac{\pi \: d}{2} + l)[/tex]

Plug the values

[tex] = 2( \frac{3.14 \times 42}{2} + 110)[/tex]

Calculate the product

[tex] = 2( \frac{131.88}{2} + 110)[/tex]

Divide

[tex] = 2 (65.94 + 110)[/tex]

Calculate the sum

[tex] = 2 \times 175.94[/tex]

Calculate

[tex] = 351.88 \: m[/tex]

Hope this helps..

Best regards!!

Answer:

351.88 m²

Step-by-step explanation:

diameter of the semicircle=42  the radius=42/2=21

perimeter of circle=2π r=2(3.14(21))= 131.88(since you have two semi-circle,then it is a full circle)

perimeter of the rectangle: 2(110)=220( the width used to measure the perimeter of the circle)

the area of the track=131.88+220=351.88

The sum appears to be

[tex]\displaystyle\sum_{n=0}^\infty(2n+1)x^n[/tex]

I'll assume you want to find out what function this sum converges to.

Let

[tex]f(x)=\dfrac1{1-x}=\displaystyle\sum_{n=0}^\infty x^n[/tex]

with -1 < x < 1. Differentiating gives

[tex]f'(x)=\dfrac1{(1-x)^2}=\displaystyle\sum_{n=0}^\infty nx^{n-1}=\sum_{n=1}^\infty nx^{n-1}=\sum_{n=0}^\infty(n+1)x^n[/tex]

So we have

[tex]\displaystyle\sum_{n=0}^\infty(2n+1)x^n=f'(x)+xf'(x)[/tex]

[tex]\displaystyle\sum_{n=0}^\infty(2n+1)x^n=\frac{1+x}{(1-x)^2}[/tex]

Answer:

The fence must have:

220 meters

Step-by-step explanation:

The perimeter of the field is equal to the long of the fence round the field.

then:

perimeter = 2(long + wide)

perimeter = 2(85 + 25)

perimeter = 2*110

perimeter = 220m

Answer:

Construction II

Step-by-step explanation:

Construct 3 perpendicular bisectors of the triangles sides; where they intersect is the point of concurrency. The distance from the point of concurrency to one of the vertices is the radius.

38 42 34 54

Step-by-step explanation:

7have the best mayonnaise bianco babi naive albino pig is this real or not be a posible and I am a great day for 53feet

Answer:

48cm²

Step-by-step explanation:

PQ=(24-5-5)/2=7

This means PR is 14 and US is 10.

The height of the parallelogram is base times height, so 28/7=4

Now we just look at it as one big parallelogram.

4(14+10)/2=48 cm²

Answer:

The answer is below

Step-by-step explanation:

The Royal Fruit Company produces two types of fruit drinks. The first type is 65% pure fruit juice, and the second type is 90% pure fruit juice. The company is attempting to produce a fruit drink that contains 85% pure fruit juice. How many pints of each of the two existing types of drink must be used to make 80 pints of a mixture that is 85% pure fruit juice?

Answer: Let x be the number of pints of the first fruit juice (i.e 65%) and y be the number of pints of the second fruit juice (i.e 90%).

Since the total number of pints to make the 85% pure fruit juice is 80, it can be represented using the equation:

x + y = 80                              .                  .                 .    1)

Also, x pints of the first juice = 0.65x, y pints of the second juice = 0.9y and 80 pints of the mixture to be produced = 80(0.85) = 68. Therefore:

0.65x + 0.9y = 68               .                 .                  .        2)

We have to solve equation 1 and 2 simultaneously, first multiply equation 1 by 0.65 to get equation 3:

0.65x + 0.65y = 52            .                  .               .        3)

Subtract equation 3 from 2 and solve for y:

0.25y = 16

y = 16/0.25 = 64

y = 64 pints

Put y = 64 in equation 1:

x + 64 = 80

x = 80 - 64 = 16

x = 16 pints

Therefore 16 pints of the 65% pure fruit juice, and 64 pints of the 90% pure fruit juice is required to make 80 pints of 80% fruit juice.

Answer:

B

Step-by-step explanation:

sqrt30 -6^2 doesn't work

2.5 sqrt18 and 5 do work

Answer:

(5a3b)(2ab)

Expand

That's

15ab( 2ab )

we have the answer as

5y(-y² + 7y - 2)

Expand

That's

Hope this helps you