V(x)=-x2+2x-4 and W(x)=-x3+2x2+x+5 Find V(x)-W(x)

Answers

Answer 1

Answer:

[tex]-x^3-x^2+x-9[/tex]

Step-by-step explanation:

Distribute -1

Combine Like Terms

[tex](x^2+2x-4)-(x^3+2x^2+x+5)\\= x^2+2x-4+-x^3-2x-x-5\\= -x^3-x^2+x-9[/tex]

Answer 2

Answer:

[tex]x^{3} -3x^{2} +x-9[/tex]

Step-by-step explanation:

-x^2+2x-4-(-x^3+2x^2+x+5)

Combine like terms

x^3-3x^2+x-9


Related Questions

Apply the distributive property to factor out the greatest common factor. 40f+30 =

Answers

Answer:

10(4f+3)

Step-by-step explanation:

boo

What is 5% added to $194?

Answers

Answer:

203.7

Step-by-step explanation:

5% of 194 added to 194 =

= 5% * 194 + 194

= 0.05 * 194 + 194

= 9.7 + 194

= 203.7

Ellen is making jewelry sets that contain a bracelet and a pair of earrings. Each bracelet uses 3 times as many beads as one earring. Each bracelet uses 3 as times as many beads as one earring . Ellen uses 13 beads for each earring. How many beads does Ellen need to make one jewelry set?

Answers

So there are a pair of earrings and a Bracelet.

It's given that the Bracelet uses 3 times the number of beads that's used in making a single earring.

It's also given that one single earing has 13 beads. So a single bracelet would have (3×13) beads .... and that's equal to 39.

Making a single set of jewellery needs a pair of earrings and a Bracelet.

So total number of required beads will be =

39 + 13 + 13 = 65

una compañía sabe que si produce "x" unidades mensuales su utilidad "u" se podría calcular con la expresión:


u(x)=-0.04x^2+44x-4000


donde "u" se expresa en dólares. Determine la razón del cambio promedio de la utilidad cuando el nivel de producción cambia de 600 a 620 unidades mensuales. Recuerde que la pendiente de la recta secante a la gráfica de la función representa a la razón de cambio promedio.


porfavor alguien que me explique el procedimiento :(

Answers

Answer:

Δf(u) /Δx  = 92,8    ( razón de cambio promedio)

Step-by-step explanation:

La expresión de la utilidad de la empresa u(x) en función de la cantidad de unidades producidas "x" es:

u(x) = 0,04*x² + 44*x  -4000

Entonces la razón de cambio promedio en un intervalo (a ; b)  en este caso ( 620 ;  600 ) viene dada por la expresión:

Δf(x)/ Δx  =  [ f(b)  -  f(a) ]/( b - a )

en donde  f(b)  y f(a) se obtienen por sustitución de los valores a y b es decir  600 y 620 respectivamente en la función f(x) = u(x) entonces

Δf(u) /Δx  =  [ u(b)  -  u(a) ]/( b -a )        (1)

u(b) =  0,04*(620)² + 44*(620) - 4000

u(b) = 15376 + 27280 -4000

u(b) = 2656 unidades

u(a)  = 0,04* (600)²  +  44* 600  - 4000

u(a)  = 14400  +  26400  - 4000

u(a) = 800

Sustituyendo esos valores en la ecuación 1

Δf(u) /Δx  =  2656 - 800 / 620 - 600

Δf(u) /Δx  = 92,8

What is the slope of a line perpendicular to y=-7/4x
O A.
IN
O B.
7
O c.
4
-
O D.
7
4​

Answers

Answer:

y=4/7x

Step-by-step explanation:

perpendicular lines have opposite slopes. that means reciprocal and opposite sign.

The following sample contains the scores of 6 students selected at random in Mathematics and English. Use the scores in English as the dependent variable Y.

Mathematics score (X) 70 92 80 74 65 83
English score 74 84 63 87 78 90

Σx =464 Σy=476 Σx^2= 36354 Σy^2=38254 Σxy= 36926

Find the sample coefficient of determination and interpret.

a. 0.0575 and prediction accuracy is 5.75%
b. 0.2397 and prediction accuracy is 23.97%
c. 0.0575 and prediction accuracy is 94.25%
d. 0.2397 and prediction accuracy is 76.03%

Answers

Answer:

d the answer is d

Step-by-step explanation:

g natasha is in a class of 30 students that selects 4 leaders. How many ways are there to select the 4 leaders so that natasha is one of the leaders

Answers

Answer:

3,654 different ways.

Step-by-step explanation:

If there are 30 students in a class with natasha in the class and natasha is to select four leaders in the class of which she is already part of the selection, this means there are 3 more leaders needed to be selected among the remaining 29 students (natasha being an exception).

Using the combination formula since we are selecting and combination has to do with selection, If r object are to selected from n pool of objects, this can be done in nCr number of ways.

nCr = n!/(n-r)!r!

Sinca natasha is to select 3 more leaders from the remaining 29students, this can be done in 29C3 number of ways.

29C3 = 29!/(29-3)!3!

29C3 = 29!/(26!)!3!

29C3 = 29*28*27*26!/26!3*2

29C3 = 29*28*27/6

29C3 = 3,654 different ways.

This means that there are 3,654 different ways to select the 4 leaders so that natasha is one of the leaders

I require someone to answer this question for me ASAP please?

Answers

Answer:

x has to be less than 3

Step-by-step explanation:

Answer:

x < 3

I hope this helps!

Average of 44.64, 43.45, 42.79, 42.28

Answers

Answer:

43.29

Step-by-step explanation:

[tex]44.64+ 43.45+42.79+42.28\\\\= \frac{44.64+ 43.45+42.79+42.28}{4} \\\\\\= \frac{173.16}{4} \\\\= 43.29\\[/tex]

The parallelogram to be a square,x=?

Answers

Answer:

Step-by-step explanation:

for this paralellogram to be a square, the sides should be perpendicular.

Woch means that 4x+17° = 45°

● 4x +17° = 45°

Substract 17 from both sides.

● 4x +17°-17° = 45°-17°

● 4x = 28°

Divide both sides by 4

● 4x/4 = 28°/ 4

● x = 7°

The length of a rectangle is twice its width. If the perimeter of the rectangle is 30m, find its area.

Answers

Answer:

If the perimeter of the rectangle is 30cm , find its area. W=5 FOR THE WIDTH. 5*10=50 FOR THE AREA.

Step-by-step explanation:

The area of the Rectangle is 50 sq.m

What is the formula of Area of Rectangle?

The area of rectangle for a rectangle of length L and width W is given by

                                              A =  L* W

It is measured in square units.

Let the length of the rectangle be L

The width of the rectangle is W

The length of a rectangle is twice its width

L = 2W

Perimeter of the Rectangle is 2( Length + Width)

30 = 2 (L +W)

15 = L + W

15 = 2W +W

15 = 3W

W = 5m

L = 10m

The area of the rectangle is Length * Width

Area = 10 *5

Area = 50 sq.m

To know more about Area of Rectangle

brainly.com/question/20693059

#SPJ2

Please answer! I am struggling with this question! Please show ALL work! <3 (the answer choices are provided on a separate image)

Answers

Answer:

The radius is 18 inches

Step-by-step explanation:

The circumference of a circle is given by

C = 2 * pi *r

36 pi = 2 * pi *r

Divide each side by pi

36 = 2r

Divide each side by 2

18 =r

Answer:

The answer is option C

Step-by-step explanation:

Circumference of a circle = 2πr

where

r is the radius of the circle

From the question

Circumference = 36π inches

To find the radius substitute the value of the circumference into the above formula and solve for the radius

That's

[tex]36\pi = 2\pi r[/tex]

Divide both sides by 2π

We have

[tex] \frac{36\pi}{2\pi} = \frac{2\pi \: r}{2\pi} [/tex]

We have the final answer as

r = 18 inches

Hope this helps you

Consider the line =−−7x4y−6.
What is the slope of a line parallel to this line?

What is the slope of a line perpendicular to this line?

Answers

Answer:

4/7

Step-by-step explanation:

Original equation, in general form: -7x - 4y - 6

Rearrange to get: 4y = -7x - 6

Divide both sides by 4 to get: y = -7/4(x) - 1.5

To find the slope of a line perpendicular to another line, take the original gradient, and find the negative inverse

So for here,

Original gradient: -7/4

Negative: 7/4

Negative Inverse: 4/7 (which is our gradient)

Done!

simplify theta(sin theta) ²/2tan theta​

Answers

Step-by-step explanation:

When θ is very small, θ ≈ sin θ ≈ tan θ.

θ (sin θ)² / (2 tan θ)

θ³ / (2θ)

θ² / 2

it is 235 miles from tulsa to dallas. it is 390 miles from dallas to houston. a) what is the total distance of a trip from tulsa to dallas to houston? b) what is the total distance from houston to dallas to tulsa? c) explain how you can tell whether the distances described in parts (a) and (b) are equal by using reasoning.

Answers

Answer:

a- tulsa to dallas to houston is 235+390 which is 625 miles

b - houston to dallas to tulsa is 390+235 miles which is 625 miles

c - by using reasoning both are same because they are just rewritten differently but the equation is same

please give me brainliest

hope it helps buddy

10 easy points!!!! What is the x-intercept of the line?

Answers

Answer:

Step-by-step explanation:

As x increases from -74 to -54 (a 'run' of 20), y decreases from 18 to 12 (a 'rise' of -6.  Thus, the slope of this line is m = rise/run = -6/20 = -13/10.

From y = mx + b we get     12 = (-13/10)(12) + b, or (after dividing all terms by 12)

1 = -13/10 + b/12, or

60 = -3(6) + 5b, or

42 = - 5b, or b = -42/5

The line is y = (-13/10)x - 42/5.

At the x-intercept, y = 0.  Setting y = 0, we get:

(13/10)X = -42/5,  or  13x = -84.

Thus, x = -84/13 =  -6.46

and so the x-intercept of the line is (-6.46, 0)

BRAINLEST Find the sum of the first 6 terms of the infinite series: 1 - 2 + 4 - 8+...

Answers

Answer:

-21

Step-by-step explanation:

1-2+4-8+16-32

=-21

Answer:

The sum of the first 6 terms of the infinite series will be - 21.

Step-by-step explanation:

In this case, the infinite geometric series 1 - 2 + 4 - 8 + ... is represented by the following summation,

[tex]\sum _{{k=0}}^{{n}}(-2)^{k}[/tex]

Therefore if we continue this pattern, the first 6 terms will be 1 - 2 + 4 - 8 + 16 - 32. Adding these terms,

1 - 2 + 4 - 8 + 16 - 32

= - 1 + 4 - 8 + 16 - 32

= 3 - 8 + 16 - 32 = - 5 + 16 - 32

= 11 - 32 = Solution : - 21

Tierra's THR zone is 135-185 bpm (beats per minute). What might Tierra's heart rate be to
indicate that she was working too hard?
A. 145 bpm
B. 195 bpm
C. 175 bpm
D. 130 bpm​

Answers

The correct answer is B. 195 bpm

Explanation:

In health and related areas, THR or Target Heart Rate zone refers to the range of heart rate an individual should have including the maximum heart rate. In the case of Tierra, her THR zone indicates her maximum heart rate should be 185 beats per minute.

In this context, a heart rate above this number shows Tierra is working too hard or that his heart is doing too much effort, which is dangerous for her health. Thus, the heart rate that shows she is doing too hard is 195 bmp as this is the only one that is above the ideal rate.

Find the mass and center of mass of the solid E with the given density rho. E is the cube 0 ≤ x ≤ a, 0 ≤ y ≤ a, 0 ≤ z ≤ a; rho(x, y, z) = 9x2 + 9y2 + 9z2.

Answers

Answer:

mass = 9a^5

center of mass = [tex]\frac{7a}{12}, \frac{7a}{12}, \frac{7a}{12}[/tex]

Step-by-step explanation:

Finding the mass of the solid E

given density function : p ( x,y,z ) = [tex]9x^2 + 9y^2 + 9z^2[/tex]

Mass =   [tex]\int\limits^a_0 \int\limits^a_0 \int\limits^a_0 {9(x^2+y^2+z^2)} \, dx dydz[/tex]   [tex]= \int\limits^a_0 \int\limits^a_0 {9(\frac{a^3}{3}+ay^2+az^2 )} \, dydz[/tex]

         [tex]= \int\limits^a_0 {9(\frac{a^4}{3}+\frac{a^4}{3} +a^2z^2 )} \, dz[/tex]  [tex]= \int\limits^a_0 {9(\frac{2a^4}{3}+a^2z^2 )} \, dz[/tex]  [tex]= 9 ( \frac{2a^5}{3} + \frac{a^5}{3} )[/tex]  

( taking limits as a and 0 )

hence Mass = 9 [tex](a^5)[/tex]

finding the center of mass

attached below is solution

       

How do u solve A/B + C/D = E

Answers

you cannot solve this, I don’t see how....

Find the measure of b. A. 63 B. 27 C. 31.5 D. 126

Answers

Answer:

126°

Step-by-step explanation:

If that angle is 27, so is angle a.

180-27-27=126

To measure Monarch butterfly migration,
scientist tag and release 100 butterflies in
Kansas and Missouri before traveling to
Mexico. While in Mexico, the same
scientist captured another 100 butterflies
of which 15 are tagged. Based on this
information, how many butterflies would
you predict start in Kansas and Missouri
and migrate to Mexico?

Answers

the answer is 667.

100/x = 15/100

it’s a proportion so you cross multiply. after cross multiplying you get 15x = 10,000. divided both sides by 15 and you get x = 66.6 (continuation of the 6). since it’s repeating, round it and you get 667.

by the way this is actually one of my homework questions for today ;)

The predicted number of butterflies that starts from Kansas and Missouri and migrate to Mexico is 667.

The Aim of the experiment is to measure the Monarch butterfly migration

number of butterflies tagged and released in Kansas and Missouri = 100 number of tagged butterflies captured in Mexico = 15 Let the number of butterflies that start from Kansas and Missouri and end in Mexico = x

Predicting the number of butterflies

= [tex]\frac{100}{x} = \frac{15}{100}[/tex]

= [tex]15x = ( 100 * 100)[/tex]

∴ x( predicted value ) = [tex]\frac{10000}{15 } = 667[/tex]

hence the approximate value of the number of butterflies that migrate to Mexico from Kansas and Missouri is  667

learn more about migration : https://brainly.com/question/23903333

Find the doubling time of an investment earning 8% interest if interest is compounded continuously. The doubling time of an investment earning 8% interest if interest is compounded continuously is ____ years.

Answers

Answer:

8.66 years

Step-by-step explanation:

Given that:

Interest rate = 8%

Using the exponential growth function:

A = Ao * e^(rt)

Where A = final amount

Ao = Initial amount

r = growth rate

t = time

Here we are to calculate the time it takes an investment earning 8% interest to double;

rate (r) = 8% = 0.08

2A = A * e^(rt)

Divide both sides by A

2 = e^(rt)

2 = e^(0.08 * t)

2 = e^(0.08t)

In(2) = 0.08t

0.6931471 = 0.08t

Divide both sides by 0.08

0.6931471 / 0.08 = 0.08t / 0.08

8.6643397 = t

t = 8.66 years

Answer:

symbolically, the answer would be t= ln(2)/(.08)

Step-by-step explanation:

start by writing out your variables:

rate= .08

*dont forget the investment doubles too, thats where 2P is in the bottom equation

equation should look like:

[tex]2P=Pe^{.08t}[/tex]

then you solve, so divide P on the right and left:

[tex]\frac{2p}{p} = \frac{Pe^{.08t}}{p}[/tex]

now it looks like: [tex]2=e^{.08t}[/tex]

you can take the natural log (ln) of 2 to get the exponent by itself .08t

ln(2)=.08t

then divide .08 to get t by itself

[tex]\frac{ln(2)}{.08} =\frac{.08t}{.08}[/tex]

so symbolically, your equation should be:

[tex]t=\frac{ln(2)}{.08}[/tex]

to get t as your answer you can plug this equation into your calculator to get:

t=8.66 years so approximently 8 years

A 20-foot ladder is placed against a tree. The bottom is located 5 feet from the base of the tree and the top of the ladder is 5√15 feet up the tree. Use tangent to find the angle created between the ladder and tree. Include a sketch that shows all known information and clearly shows what you need to find. Show all work and give the answer rounded to the nearest tenth of a degree.

Answers

Answer:

14.5°

Step-by-step explanation:

The sketch results in an angle of depression problem.

In this case, the opposite side of the triangle formed is 5 ft

The hypotenuse side is 20 ft

The adjacent side is the [tex]5\sqrt{15}[/tex] ft

Using tangent θ = opp/adj

tangent θ = 5/[tex]5\sqrt{15}[/tex] = [tex]\frac{1}{\sqrt{15} }[/tex] = 0.258

θ = [tex]tangent^{-1}[/tex] 0.258 = 14.5°

A hypothesis test is to be performed to test the equality of two population means. The sample sizes are large and the samples are independent. A 95% confidence interval for the difference between the population means is (1.4, 8.7). If the hypothesis test is based on the same samples, which of the following do you know for sure:
A: The hypothesis µ1 = µ2 would be rejected at the 5% level of significance.
B: The hypothesis µ1 = µ2 would be rejected at the 10% level of significance.
C: The hypothesis µ1 = µ2 would be rejected at the 1% level of significance.
A) A and B
B) A and C
C) A only
D) A, B, and C

Answers

Answer:

C) A only

Step-by-step explanation:

In statistics, the null hypothesis is the default hypothesis and the alternative hypothesis is  the research hypothesis. The alternative hypothesis usually comes in place to challenge the null hypothesis in order to determine if the test is statistically significant or not.

Similarly,

In hypothesis testing, the confidence interval consist of all reasonable value of the population mean. Values for which the null hypothesis will be rejected [tex]H_o[/tex] .

Given that:

At 95% confidence interval for the  difference between the population means is (1.4, 8.7).

The level of significance = 1 - 0.95 = 0.05  = 5%

So , If the hypothesis test is based on the same samples, The hypothesis µ1 = µ2 would be rejected at the 5% level of significance.

PLZ HELP ASAP (Algebra)

Answers

Answer:

Step-by-step explanation:

Whenever you add two number x and -x and it becomes 0 . IT is the identity property.

Ex:

-1/3 + 1/3 = 0

-1 + 1 = 0

-58 + 58 = 0

What is the probability that a randomly selected individual on this campus weighs more than 166 pounds? (express in decimal form and round final answer to 4 decimal places)

Answers

Answer:

hello attached is the missing part of your question and the answer of the question asked

answer : 0.2951

Step-by-step explanation:

Given data:

number of persons allowed in the elevator = 15

weight limit of elevator = 2500 pounds

average weight of individuals = 152 pounds

standard deviation = 26 pounds

probability that an individual selected weighs more than 166 pounds

std = 26 ,  number of persons(x) = 15, average weight of individuals(u) = 152 pounds

p( x > 166 ) = p( x-u / std,  166 - u/ std )

                  = p (  z > [tex]\frac{166-152}{26}[/tex] )

                  = 1 - p( z < 0.5385 )

p( x > 166 ) = 1 - 0.70488 = 0.2951

3(x–6)=18 help plese

Answers

Answer:

x = 12

Step-by-step explanation:

3(x–6)=18

x-6 = 18:3

x-6 = 6

x = 6+6

x = 12

Answer:

x=12

Step-by-step explanation:

Eliminate the parameter for the following set of parametric equations: x= t + 6 y= 3t – 1

Answers

Answer:

Solution : Option A

Step-by-step explanation:

What we want to do here is eliminate the parameter t. In order to do that, we can isolate t in our first equation x = t + 6 ----- ( 1 ) and then plug that value for t in the second equation y = 3t - 1. Our solution will be an equation that is not present with t.

( 1 ) x = t + 6, t = x - 6

( 2 ) y = 3( x - 6 ) - 1 ( Distribute the " 3 " in 3( x - 6 ) )

y = 3x - 18 - 1 ( Combine like terms )

y = 3x - 19

As you can see our result will be option a, y = 3x - 19.

f(x)=3x2+10x-25 g(x)=9x2-25 Find (f/g)(x).

Answers

Answer:

[tex](f/g)(x) = \frac{x + 5}{3x + 5} [/tex]

Step-by-step explanation:

f(x) = 3x² + 10x - 25

g(x) = 9x² - 25

To find (f/g)(x) divide f(x) by g(x)

That's

[tex](f/g)(x) = \frac{3 {x}^{2} + 10x - 25 }{9 {x}^{2} - 25 } [/tex]

Factorize both the numerator and the denominator

For the numerator

3x² + 10x - 25

3x² + 15x - 5x - 25

3x ( x + 5) - 5( x + 5)

(3x - 5 ) ( x + 5)

For the denominator

9x² - 25

(3x)² - 5²

Using the formula

a² - b² = ( a + b)(a - b)

(3x)² - 5² = (3x + 5)(3x - 5)

So we have

[tex](f/g)(x) = \frac{(3x - 5)(x + 5)}{(3x + 5)(3x - 5)} [/tex]

Simplify

We have the final answer as

[tex](f/g)(x) = \frac{x + 5}{3x + 5} [/tex]

Hope this helps you

Other Questions
A measure of the total amount of lifethat is able to grow and exist in aparticular area is calledA. the climate.B. species richness.C. the altitude.D. productivity. A random sample of 35 undergraduate students who completed two years of college were asked to take a basic mathematics test. The mean and standard deviation of their scores were 75.1 and 12.8, respectively. In a random sample of 50 students who only completed high school, the mean and standard deviation of the test scores were 72.1 and 14.6, respectively In order to test the equal variance assumption for two populations, Can we assume population variances are equal at the 10% significance level? (sigma subscript 1 superscript 2 space equals space sigma subscript 2 superscript 2 ) Which of the following ionic lattices would have the highest melting point?A. Potassium oxidewB. Boron nitrideC. Beryllium oxideD. Lithium chloride A recent national survey found that high school students watched an average (mean) of 7.1 movies per month with a population standard deviation of 1.0. The distribution of number of movies watched per month follows the normal distribution. A random sample of 33 college students revealed that the mean number of movies watched last month was 6.2. At the 0.05 significance level, can we conclude that college students watch fewer movies a month than high school students? State the null hypothesis and the alternate hypothesis. Skyline Corp. will invest $210,000 in a project that will not begin to produce returns until the end of the 3rd year. From the end of the 3rd year until the end of the 12th year (10 periods), the annual cash flow will be $46,000. Use Appendix B and Appendix D for an approximate answer but calculate your final answer using the formula and financial calculator methods. a. Calculate the net present value if the cost of capital is 12 percent. In high school, a teacher gave two sections of a class the same arithmetic test. The results were as follows: Section I: Mean 45, Standard Deviation 6.5 Section II: Mean 45, Standard deviation 3.1 What conclusions is correct? The smartest thing a firm involved in an oligopoly market could do is to cut their prices and capture more of the market share from their competitors. a) We learned in class that the best move would be to raise prices. b) We also learned that cutting prices on an elastic demand curve will be a smart way of getting more revenues. c) Cutting prices is no gaurantee of success. Indeed if the firm does capture more market share and customers, then their costs will go up and it will be harder for them because they will have lower profit margins - if they can earn any profit at all. d) Both A and C are correct. h(x+1)=x^2-4 evaluate function by substuting x+1 How would removing invasive species from anecosystem help reduce the chances of a nativespecies becoming extinct?AThe native species would go extinctsooner.BThe native species would no longer beinfected by diseasesCThe native species would be better adaptfor survival.DThe native species would not have tocompete for necessary resources, Read this line from James Joyce's "Araby." Based on the context in which it appears, identify the correct synonym of the word amiability. I watched my master's face pass from amiability to sternness; he hoped I was not beginning to idle When HCl is added to water, the [H3O+] = 0.6 M. What is the [OH-]?What is the pH of the solution? The strategic appeal of related diversification is that it Multiple Choice allows a firm to reap the competitive advantage benefits of skills transfer, lower costs (due to economies of scope), cross-business use of a powerful brand name, and/or cross-business collaboration in creating stronger competitive capabilities. is less capital intensive than unrelated diversification because related diversification emphasizes getting into cash cow businesses (as opposed to cash hog businesses). involves diversifying into industries having the same kinds of key success factors. is less risky than unrelated diversification because it avoids the acquisition of cash hog businesses. facilitates the achievement of greater economies of scale since the company only enters those businesses that serve the same types of buyer groups and/or buyer needs. Solve for x. PLZ ANSWER FAST A list of financial statement items for Splish Brothers Inc. includes the following: accounts receivable $30,100, prepaid insurance $5,590, cash $22,360, supplies $8,170, and debt investments (short-term) $17,630.Prepare the current assets section of the balance sheet listing the items in the proper sequence. (List current assets in order of liquidity.) Is the following relation a function? (1 point) x y 1 2 2 3 3 1 6 2 No Yes Chapter 61. What is one theme you are seeing emerge in the novel A long walk to water so far? Explainyour answer. It takes a graphic designer 1.5h to make one page of a website. Using a new software, the designer could complete each page in 1.25h, but it takes 8h to learn the software. How many web pages would the designer have to make in order to save time using the new software? In the Assembly Department of Hannon Company, budgeted and actual manufacturing overhead costs for the month of April 2017 were as follows.Budget ActualIndirect materials $14,200 $13,700Indirect labor 19,100 19,900Utilities 11,400 12,100Supervision 4,600 4,600All costs are controllable by the department manager.Prepare a responsibility report for April for the cost center. (c) State two differences between this mesophyll cell and a root hair cell. (2 marks) A red flower producing snapdragon plant is crossed with a white flower producing snapgragon plant. Resulting F1 generation is crossed with one another to produce F2 generation. This is incomplete dominance of genes.Q1 What type of a breeding is this? (monohybrid, dihybrid or interspecific)Q2 Draw a genetic chart to show P, F1 and F2 generations clearly indicating genotypes, phenotypes and generations.