simplify the following expressions showing the steps:
(9+9.4i)+(-8.6-4i)
(9.4i)(-4i)

Answer:

[tex]5^2[/tex]·[tex]3^2[/tex]·[tex]19[/tex]

Step-by-step explanation:

Well to find the prime factor we make the prime factorization tree.

Look at the image below↓

Thus,

the prime factorization of 4275 is [tex]5^2[/tex]·[tex]3^2[/tex]·[tex]19[/tex]

Hope this helps :)

Answer:

Step-by-step explanation:

6x – 3y = 3

–2x + 6y = 14

lets solve by substitution:

1) lets isolate y:

6x–3y=3

-3y=-6x+3

y=(-6x+3)/-3

y=2x-1

2) plug in 2x-1 for y in order to find x:

6x-3(2x-1)=3

6x-6x+3=3

3=3

since x cancels out, it means that there is no solution to this linear system of equations

Answer:

No Solution :)

Step-by-step explanation:

Answer: 19!!

Step-by-step explanation:

Hey there! I'm happy to help!

If you reflect a point across the x-axis, you have (x,y)⇒(x,-y). If you reflect across the y-axis, you have (x,y)⇒(-x,y). A 180° rotation is the same thing as reflecting across both the x and y axes. This means that the rule for rotating the point with coordinates (x,y) 180° clockwise about the origin is D. (x,y)⇒      (-x,-y).

Have a wonderful day! :D

Answer:

Step-by-step explanation:

6y = -5x + 18

y = -5/6x + 3

perp slope: 6/5

y - 7 = 6/5(x - 10)

y - 7 = 6/5x - 12

y = 6/5x - 5

Here, we are required to write an equation perpendicular to 5x + 6y = 18.

6x - 5y = 25.

Therefore, slope of equation 5x + 6y = 18 is -5/6.

Therefore, m1m2 = -1

Therefore, the slope of the required line, m2 is;

m2 = 6/5

Therefore, the equation of a line perpendicular to the equation 5x+6y=18 and passes through the point (10,7) is given as;

6/5 = (y - 7)/(x - 10).

By cross product; we have;

6x - 60 = 5y - 35

6x - 5y = 25.

Read more:

https://brainly.com/question/17619748

Answer:

[tex]\large \boxed{\sf \ \ 9 \text{ and } 22 \ \ }[/tex]

Step-by-step explanation:

Hello,

We can write that, x being the second number

(4 + 2*x) *x = 198

Let's solve this equation.

[tex](4+2x)x=198\\\\4x+2x^2=198 \\\\\text{*** subtract 198 from both sides ***}\\\\2x^2+4x-198 = 0\\\\\text{*** The product of the zeroes is -198/2=-99=-11*9 and their sum is -4/2=-2 ***}\\\\2x^2+4x-198=2(x-9)(x+11)=0\\\\x=9 \ \ or \ \ x=-11[/tex]

We are looking for positive number so the solution is 9.

And the first number is 4 + 2 * 9 = 4 + 18 = 22

Hope this helps.

Do not hesitate if you need further explanation.

Thank you

Answer:

22 and 9

Step-by-step explanation:

Let the positive number be x.

Let the other number be y.

x = 2y + 4

xy = 198

Substitute x as 2y + 4 in the second equation.

(2y+4)y = 198

2y² + 4y = 198

2y² + 4y - 198 = 0

2(y-9)(y+11) = 0

y-9=0 or y+11=0

y=9

y=-11

The product is 198, so y is positive.

x(9)=198

x=22

Answer:

(A) the selling price is $20 per yards, and the expected yards to be sold is 10,000 yards

the derivative f'(20) is negative, which means the fabric producing company will sell 350 fewer yards when selling price is $20 per yard

(B) = R'(20) = $3000

∴the company will get extra $3000 revenue when selling price is $20 per yard

Step-by-step explanation:

A. given that

f(20)= 10,000

f'(20)= -350(first derivative)

the selling price is $20 per yards, and the expected yards to be sold is 10,000 yards

the derivative f'(20) is negative, which means the higher the price, it wil reduce the number of yards to be sold making it 350 fewer yards

(B) R(p) = p f(p)

f(20)= 10,000

f'(20)= -350(first derivative)

R(p) = p f(p)

differentiate with respect to p, using product rule

R'(p) = p f' (p) + f(p) (first derivative)

where p = 20

R'(20) = 20 f' (20) + f(20)

R'(20) = 20(-350) + 10,000

R'(20) = -7000 + 10,000

R'(20) = $3000

∴ the revenue is increasing by $3000 for every selling sold yard and increase in price per yard

Answer:

[tex] z =\frac{33.3- 34}{\frac{5}{\sqrt{54}}}= -1.028[/tex]

[tex] z =\frac{34.3- 34}{\frac{5}{\sqrt{54}}}= 0.441[/tex]

An we can use the normal standard table and the following difference and we got this result:

[tex] P(-1.028<z<0.441)= P(z<0.441) -P(z<-1.028) = 0.670 -0.152 =0.518[/tex]

Step-by-step explanation:

Assuming this statement to complete the problem "with a standard deviation 5 mpg"

We have the following info given:

[tex]\mu = 34[/tex] represent the mean

[tex]\sigma= 5[/tex] represent the deviation

We have a sample size of n = 54 and we want to find this probability:

[tex] P(33.3 < \bar X< 34.3)[/tex]

And for this case since the sample size is large enough >30 we can apply the central limit theorem and then we can use this distribution:

[tex]\bar X \sim N(\mu , \frac{\sigma}{\sqrt{n}})[/tex]

And we can use the z score formula given by:

[tex] z=\frac{\bar X -\mu}{\frac{\sigma}{\sqrt{n}}}[/tex]

And replacing we got:

[tex] z =\frac{33.3- 34}{\frac{5}{\sqrt{54}}}= -1.028[/tex]

[tex] z =\frac{34.3- 34}{\frac{5}{\sqrt{54}}}= 0.441[/tex]

An we can use the normal standard table and the following difference and we got this result:

[tex] P(-1.028<z<0.441)= P(z<0.441) -P(z<-1.028) = 0.670 -0.152 =0.518[/tex]

Answer:

19)

[tex]\frac{1}{2}*\frac{1}{4}*\frac{1}{8}*\frac{1}{16} = 2^n[/tex]

Notice that in the left side, all the numbers are powers of 2.

2 = 2^1

4 = 2^2

8 = 2^3

16 = 2^4

remember that:

(a^x)*(a^y) = a^(x+y)

then the denominator in the left is:

(2*4*8*16) = 2*(2^2)*(2^3)*(2^4) = 2^(1 + 2 + 3+ 4) = 2^8

Then we have:

[tex]\frac{1}{2}*\frac{1}{4}*\frac{1}{8}*\frac{1}{16} = \frac{1}{2^8} = 2^n[/tex]

[tex]1 = 2^8*2^n = 2^{8 + n}[/tex]

then 8 + n = 0

then n = -8.

18)

here we have:

x = (x/9) + (x/6) + (x/2) + 4 + (x/12) + 2

now in the left side we can use the common factor x and write it as:

x = x*( 1/12 + 1/9 + 1/6 + 1/2) + 6

x = x*(0.861) + 6

x - x*(0.861) = 6

x*(1 - 0.861) = 6

x = 6/(1 - 0.861) = 43.2

Answer:

D. 100

Step-by-step explanation:

percents are always out of 100 because that is the maximum. if you are 100% done with your homework, you are completely finished.

Answer: Probability of visiting at most twice = 0.82

Step-by-step explanation: The probability distribution is of the form:

 X      0         1           2            3

P(X)  0.17   0.33      0.32       0.18

It wants the probability of visiting the gym at most twice in a month, which means the probability of never going to the gym, P(X=0), or going once, P(X=1), or going twice, P(X=2).

Using the "OR" probability:

P(visiting at most twice) = P(X=0) + P(X=1) + P(X=2)

P(visiting at most twice) = 0.17 + 0.33 + 0.32

P(visiting at most twice) = 0.82

Therefore, the probability of visiting the gym at most twice in a month is 0.82 or 82%

Answer:

1800 [tex]m^{2}[/tex] is the area of parallelogram.

Step-by-step explanation:

Given that:

Area of a triangle = 900 [tex]m^{2}[/tex]

To find:

Area of a parallelogram which has same height and base as that of the given triangle.

Solution:

First of all, let us have a look at the formula for Area of a parallelogram:

[tex]Area_{Par} = Base \times Height[/tex] ...... (1)

So as to find the area of a parallelogram, we need to have the product of Base and Height of Parallelogram.

Now, let us have a look at the formula for area of a triangle:

[tex]Area_{Tri} = \dfrac{1}{2} \times Base \times Height[/tex]

Given that height and base of triangle and parallelogram are equal to each other.

So,the product of base and height will also be equal to each other.

[tex]900 = \dfrac{1}{2} \times Base \times Height\\\Rightarrow Base \times Height = 2 \times 900\\\Rightarrow Base \times Height = 1800\ m^2[/tex]

By equation (1):

Area of parallelogram = 1800 [tex]m^{2}[/tex]

Answer:

-4x + 4

Step-by-step explanation:

4x - 2( 4x - 2 )

→ Expand out 2 ( 4x - 2 )

2 ( 4x - 2 ) = 8x - 4

→ Substitute the expanded bracket back into the expression

4x - (8x - 4)

→ Collect the 'x' values

-4x + 4

Answer:

Statistical concepts are used in quality testing. Companies make many products on a daily basis and every company should make sure that they sold the best quality items.

Step-by-step explanation:

pls keep brainly questions only school related thank you!

Answer:

Step-by-step explanation:

x+y>0, x>0, when y=0

x+y<-5 x<-5 when y=0

since the sign is only< then it is dotted line, and since one is greater and is less than they actually do not intersect

Answer:

No solution with slanted lines

Step-by-step explanation:

It would have to have a positive slope and the bottom needs to be shaded, since -2y is negative it means we will be dividing by a negative. The inequality sign will switch.

also if it is < then the line is dotted, if it’s the “greater or equal to sign” then the line is not dotted.

dunno if I explained it very well

The shaded region common to both the inequalities represents the solution set of the inequality → x - 2y² < 12.

An inequality is used to compare two or more expressions or numbers.

For example -

2x > 4y + 3

x + y > 3

x - y < 6

Given is the inequality as -

x - 2y² < 12

The given inequality is -

x - 2y² < 12

2y² - x < - 12

2y² < x - 12

y² < (x/2) - 6

[tex]$y < \pm\sqrt{\frac{x}{2}-6 }[/tex]

[tex]$y < \sqrt{\frac{x}{2}-6 }[/tex]        

and

[tex]$y < -\sqrt{\frac{x}{2}-6 }[/tex]

Refer to the graph of the equation attached. The shaded region common to both the inequalities represents the solution set of the inequality.

Therefore, the shaded region common to both the inequalities represents the solution set of the inequality → x - 2y² < 12.

To solve more questions on inequality, visit the link-

https://brainly.com/question/11897796

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Answer:

Step-by-step explanation:

Complete Question

The complete question is  shown on the first uploaded image

Answer:

The  area is  [tex]A =8 sq\cdot unit[/tex]

Step-by-step explanation:

   From the question we are told that

     The  first equation is [tex]f(x) = x^2 + x \ \ \ x< 1[/tex]      

                                                                                    [tex]on[ -2 , 3 ][/tex]

      The  second equation is  [tex]f(x) = 2 x \ \ \ x \ge 1[/tex]  

This means that the limit of the area under the enclosed region is limited between -2 to  1  on the x- axis  for first equation and  1 to  3 for second equation

    Now  the area under the region is evaluated as

                   [tex]A = \int\limits^1_{-2}{x^2 + x } \, dx + \int\limits^3_{1}{2x } \, dx[/tex]

                   [tex]A ={ \frac{x^3}{3} + \frac{x^2}{2} + c } | \left \ 1 } \atop {-2}} \right. + {\frac{2x^2}{2} }| \left \ 3} \atop {1}} \right.[/tex]

                  [tex]A =9 + c - 1 -c[/tex]

                 [tex]A =8 sq\cdot unit[/tex]

Similar triangles have side lengths that are proportional to each other. To find each of the missing lengths, we need to set up proportions.

The proportions will look as follows:

(length or unknown of triangle 1) / (length or unknown of triangle 2) = (length of triangle 1) / (length of triangle 2)

-On both sides, remember to be consistent with which length/unknown you put on top! If a triangle 1 length is the numerator on the left, then it also needs to be the numerator on the right! And this also works vice versa with triangle 2.

In each proportion equation, we can only have one unknown. On the left side of the equation, we choose one length or unknown of triangle 1, and the corresponding side length of unknown of triangle 2 (whichever you did not choose from triangle 1). On the right side of the equation, we use a completed proportion. This is because all of the sides of one triangle are proportional to the other triangle, but we need to know that proportion/ratio in order to find other side lengths.

Let's start with problem a, to show how this works:

Triangle 1 side lengths - 16, a, 11

Triangle 2 side lengths - 8, 3, b

As you can tell, the side lengths match up (corresponding!) on each triangle, as in they are in the same position on each triangle. Now, we will set up a proportion to find the length of side a on triangle 1.

a / 3 = 16 / 8

48 = 8a

a = 6

Next, let's find the length of side b on triangle 2.

11 / b = 16 / 8

16b = 88

b = 5.5

Moving on to problem b, we'll apply the same concept and steps from problem a in order to find the missing side lengths.

Triangle 1 side lengths: 5, 5.5, d

Triangle 2 side lengths: 15, c, 18

5 / 15 = 5.5 / c

5c = 82.5

c = 16.5

5 / 15 = d / 18

15d = 90

d = 6

Hope this helps!! :)

Answer:

On a) you can see the shapes are simular. The blue line signatures that they are equal just reduced. You can see that 8 goes into 16 two times so for the orange line 3 must times 2. Which would mean a is 6. Now on the red line all you see is 11. So divide 11 by 2 and your answer should be 5.5 for b.

On b) it is the same thing but you have to find how the blue line is divisible. 5 divided by 15 is 3. So 3 is the number you will be using to divide or multiply. For the orange line you divide 18 by 3. The answer is 6 for d. For the red line 5.5 times 3 and you should get 11 for c.

Step-by-step explanation:

Hope this helped

Answer:

Your answer is -3.5 which lies between -4 and -3.

The point R is halfway between the integers on the number line below and represents the number -3.5 .

Answer:

  The y-intercept is the number of minutes for producing vegetable cans when no minutes are used for fruit cans

Step-by-step explanation:

The problem statement tells you y is the number of minutes for producing vegetable cans. The y-intercept is the y-value when x = 0.

The y-intercept is the number of minutes for producing vegetable cans when no minutes are used for fruit cans.

Answer:

The y-intercept, at the point (0, 6), designates the choice to compose vegetables for 6 minutes. In 6 minutes, making 64 cans of vegetables per minute, 384 cans for the order decree performed. The 0 for the x-value designs that no time spent producing cans of fruit.

Step-by-step explanation:

I got it right on edgenuity

Answer:

The regression model is:

y = 20.29 + 0.73·x

Step-by-step explanation:

In this case a regression model is to be formed to predict the final average in the course based on the first test grade.

Use Excel to form the regression model.

The output is attached below.

The regression model is:

y = 20.29 + 0.73·x

Predict the final average of a students who made an 83 on the first test as follows:

y = 20.29 + 0.73·x

  = 20.29 + 0.73 × 83

  = 80.88

The final average of a students who made an 83 on the first test would be 80.88.

From the output:

R² = 0.839

Then the correlation coefficient will be:

[tex]r=\sqrt{R^{2}}=\sqrt{0.839}=0.91597\approx 0.92[/tex]

The value of r is 0.92.

The coefficient of determination R² specifies the percentage of the variance in the dependent-variable (Y) that is forecasted or explained by linear regression and the forecaster variable (X, also recognized as the independent-variable).

In this case, the R² value of 0.839 implies that 83.9% of the variation in the final average can be explained by the grades in the first test.

Answer:

[tex](gof)(0)=216[/tex]

Step-by-step explanation:

If   [tex]f(x)=2\,x+6[/tex], and  [tex]g(x)=x^3[/tex]

then [tex](gof)(0)[/tex]  can be calculated via:

[tex]g(f(0))=g(2\,(0)+6)=g(6)=(6)^3=216[/tex]

Answer:

D. [tex]70.34 cm^2[/tex]

Step-by-step explanation:

Area of sector of a circle is given as θ/360*πr²

Where,

r = radius = 12 cm

θ = 56°

Use 3.14 as π

Plug in the values into the formula and solve

[tex] area = \frac{56}{360}*3.14*12^2 [/tex]

[tex] area = 70.34 [/tex]

Area of the sector ABC = [tex] 70.34 cm^2 [/tex]

The answer is D

Answer:

There are 192 window panes in total.

Step-by-step explanation:

Since each window has four window panes across and four window panes down,the number of panes per window is:

[tex]w=4*4=4^2[/tex]

The total number of window panes in 'n' windows is:

[tex]P=n*4^2[/tex]

With n = 12 windows, the expression that describes the total number of window panes is:

[tex]P=12*4^2\\P=192\ panes[/tex]

There are 192 window panes in total.

Answer:

One window has 4 × 4, or 42, window panes, so 12 windows have 12 × 4^2 window panes.

Step-by-step explanation:

One window has 4 × 4, or 42, window panes, so 12 windows have 12 × 4^2 window panes.

Answer:

Cada cuota tendrá un valor de $14,850.

Step-by-step explanation:

Dado que Tomás canceló la mitad del valor de la bicicleta, la cual costaba $199.900, el valor pagado al inicio fue de $99,950 (199,900 / 2).

Luego, para el valor restante, Tomás suscribió a una financiación con un interés de $4,000, elevando el monto a pagar a $103,950, pagaderos en 7 cuotas. Por lo tanto, dichas cuotas tendrán cada una un valor de $14,850 (103,950 / 7).

Answer:

<4 is congruent to angle <6

Step-by-step explanation:

Assuming the lines are parallel

<2 , <4 , <6 , <8 are all equal

Congruent means they are equal.

There are 3 angles that are the same as angle 6, they are 2, 4, 8

The answer would be B. angle 4

Answer:

x = 88

Step-by-step explanation:

The sum of the angles in a triangle add to 180

47+45 +x = 180

Combine like terms

92+x = 180

Subtract 92 from each side

92+x-92= 180-92

x =88

Answer:

D: y = 2/3x + 4

Step-by-step explanation:

hope this helps :)

Answer:

y ≤0

Step-by-step explanation:

y =- x^2

x^2 is always positive or 0

Make this negative

- x^2 is negative or 0

The range is negative or 0

y ≤0

Answer:

Step-by-step explanation:

y=-x^2

the range is(-∞,0]

y≤ 0 ( since the coefficient  a is negative it is open downward)