HELP!!! SHOW WORK PLEASE.

HELP!!! SHOW WORK PLEASE.

Answers

Answer 1

[tex]\dfrac{x}{4}=\dfrac{x+9}{4+12}\\\\16x=4(x+9)\\16x=4x+36\\12x=36\\x=3[/tex]

Answer 2
The answer is x = 3 I hope you understand

Related Questions


Ben deposited $2,700 in an account that pays 3.25% simple interest. He created a graph of his
account balance equation (A = Prt+P) with a slope of 8,775.

Answers

Step-by-step explanation:

His profit is 40%.

hope this helps

pls mark me brainliest

Answer:

40 percent i think

Step-by-step explanation:

hope its right

please put me brainlieeeeeeest

thxxx

if
[tex] \sqrt{5} x = \sqrt{3} x + \sqrt{7} [/tex]
find the value of x in the form
[tex] \sqrt{ \frac{a}{b} } [/tex]

Answers

Answer:

[tex]$x=\sqrt{\frac{7(4+\sqrt{15})}{2}} $[/tex]

Step-by-step explanation:

From the way it is written, the [tex]x[/tex] is outside the square root. I will rewrite it as:

[tex]x\sqrt{5} =x\sqrt{3} +\sqrt{7}[/tex]

[tex]x\sqrt{5}-x\sqrt{3}=\sqrt{7}[/tex]

[tex]x(\sqrt{5} - \sqrt{3} )=\sqrt{7}[/tex]

[tex]$x= \frac{\sqrt{7} }{\sqrt{5} - \sqrt{3}} \implies \frac{\sqrt{7}(\sqrt{5} + \sqrt{3}) }{2} $[/tex]

[tex]$x=\frac{1}{2} \sqrt{7} (\sqrt{5} + \sqrt{3} )$[/tex]

[tex]$x=\frac{\sqrt{35}}{2} +\frac{ \sqrt{21}}{2} $[/tex]

[tex]$x=\frac{\sqrt{35}+\sqrt{21}}{2} $[/tex]

Multiply denominator and numerator by 3

[tex]$x=\frac{3\sqrt{35}+3 \sqrt{21}}{6} $[/tex]

Factor [tex]\sqrt{3}[/tex]

[tex]\sqrt{3} (\sqrt{105}+3 \sqrt{7})[/tex]

[tex]$x=\frac{\sqrt{3} (\sqrt{105}+3 \sqrt{7})}{6} $[/tex]

Divide denominator and numerator by [tex]\sqrt{3}[/tex]

[tex]$x=\frac{\sqrt{105}+3 \sqrt{7}}{2\sqrt{3} } $[/tex]

Let's rewrite it again

[tex]$x=\frac{\sqrt{ (\sqrt{105}+3 \sqrt{7})^2}}{\sqrt{12} } $[/tex]

[tex]$x=\sqrt{ \frac{1}{12} \cdot (\sqrt{105}+3 \sqrt{7})^2}$[/tex]

It is already in the form [tex]$\sqrt{\frac{a}{b} } $[/tex]

Expanding the perfect square, we have

[tex]63+42\sqrt{15}+105[/tex]

[tex]$\frac{63}{12} +\frac{42\sqrt{15}}{12} +\frac{105}{12} $[/tex]

[tex]$\frac{21}{4} +\frac{7\sqrt{15}}{2} +\frac{35}{4} $[/tex]

Factor [tex]$\frac{7}{2} $[/tex]

[tex]$\frac{7}{2} (4+\sqrt{15} )$[/tex]

Therefore,

[tex]$x=\sqrt{\frac{7}{2} \left(4+\sqrt{15} \right)} $[/tex]

[tex]$x=\sqrt{\frac{7(4+\sqrt{15})}{2}} $[/tex]

x= 7/4 x 25/6 is the answer

If we transform the parabola y=(x+1)^2+2 by shifting 7 units to the right and 5 units down, what is the vertex of the resulting parabola? Vertex of resulting parabola: (__ a0,__ a1)

Answers

Hey there! I'm happy to help!

The vertex form of a parabola is y=a(x-h)²+k. The h represents the horizontal transformation, while the k represents the vertical. The vertex of a parabola in this form is (h,k). The a represents a vertical stretch or shrink.

Our parabola is y=(x+1)²+2. This is already in vertex form, so we do not need to change the equation. There is no a (basically a=1), which means that the parabola has not been stretched or shrunk from its parent form.

We see that the h is -1. This is because in the original equation it is (x-h)², so it has to be -1 because the two negatives make a positive which is the +1. (x--1)=(x+1).

We see that the k value is 2.

Since the vertex is (h,k), this vertex is (-1,2).

However, we have to shift the parabola 7 units to the right and 5 units down. So, we add 7 to the x-value and subtract 5 from the y-value of the vertex.

(x,y)⇒(x+7,y-5)

(-1,2)⇒(6,-3)

Therefore, the vertex of the resulting parabola is (6,-3).

Have a wonderful day! :D

I did the math and the other comment is correct

The coefficient of 6x is
1
6
Х

Answers

Answer:

6

Step-by-step explanation:

If a number and a variable were together in a term, the number would the the coefficient. The coefficient would multiply the variable.

In '6x', the number '6' is the coefficient. '6' would be multiplying 'x'.

The correct answer should be 6.  

The coefficient of 6x is 6. This is because the coefficient is before the variable and 6 is before x.

Given f(x) = -4(x-3)^2-2
a) Determine the inverse of f(x)
b) List the domain and range of inverse.

Answers

Answer:

[tex]\sqrt{\frac{x+2}{-4} }+3=y[/tex] d=(-infinity,-2) r=(3,+infinity)

Step-by-step explanation:

i did the math

It’s d=(-infinity,-2) and r=(3, plus infinity) :) hope this helped

Find the perimeter of the triangle ​

Answers

Answer:

26 units

Step-by-step explanation:

Answer:

657.88 i guess becuz by using pythagoras i got 320 for the hypotenous

Simplify the expression:
3(7r + 1) =​

Answers

Answer:

21r +3

Step-by-step explanation:

3(7r + 1) =​

Distribute

3*7r +3*1

21r +3

Answer:

21r+3

Step-by-step explanation:

3(7r + 1)

Use the distributive property.

This property is normally used when the 2 numbers inside of the parentheses can not be added easily.

3*7r+3*1

21r+3

Guys pls help me in this coz im very confused in this

Answers

Answer:

Step-by-step explanation:

1. Copy the diagram using ruler for parallel lines * ensure they (the parallel lines) each have the same distance each point to one another before drawing or adding the transversal line L(3)

The transversal doesn't have to be exact to the diagram but the parallel lines do have to be correct to prove that angle 1 + 5 are identical and fit into each other.

2. They only become corresponding because of being on transversal to add to 180 degree. As you will see when you draw angle 1 on colored paper near the first blue/green circle and match with 5 below in the second blue/green circle.

3. The reason they want tracing paper afterwards of the same shape is so you can use alternatively to cover angle 5 in your book.  

You will see they do cover each other.

Additional

''When two lines are crossed by another line (which is called the Transversal), the angles in matching corners are called corresponding angles. ''

Should you enter search for the above statement it will show you an interactive tool you can use for regarding maths transversal.

Here you can compare parallel lines like l(1) and l(2) as even if they were not parallel they would still be corresponding angles. As you will see.

I really don’t know just drop out

Pls help me!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!please I’m begging u

Answers

Answer:

7. 36     8. 1     9. 21

Step-by-step explanation:

You plug in the variables in the equation.

7.[tex]5^{2} +-4^{2} = 41[/tex]

8. [tex](5-4)^{2} = 81[/tex]

9. [tex]5+4^{2} =21[/tex]

Answer:

See explanation

Step-by-step explanation:

1. 8^5 = 32768

2. a^6

3. 5^5*9^3 = 2278125

5. (-3)^5 = -243

6. (3/4)³ = 27/64

7. a² + b² = 5² + (-4)² = 25 + 16 = 41

8. (a + b)² = (5 + 4)² = 9² = 81

9. a + b² = 5 + 4² = 5 + 16 = 21

If a= 3 and b= 5, find b/a=
2/5
3/5
05/3

Answers

Answer:

05/3

Step-by-step explanation:

5/3 = 1.66

Answer:

5/3

Step-by-step explanation:

a= 3 and b= 5

b/a

5/3

Find the equation of the parabola with focus (2, 3) and directrix y = -1.
es

Answers

Answer:

Below in bold.

Step-by-step explanation:

Let (x, y) be a point on the parabola. As the graph is a parabola, the distance of this point to the focus is equal to the distance of  this point from the directrix. So:

√(( x - 2)^2 + (y - 3)^2) = y - (-1)

Squaring both sides:

(x - 2)^2 + (y - 3)^2 = (y + 1)^2

x^2 - 4x + 4 + y^2 - 6y + 9  = y^2 + 2y + 1

x^2 - 4x  + 4 + 9 - 1 = 2y + 6y

8y = x^2 - 4x + 12

y = 1/8(x^2 - 4x + 12)

or we can write it as

y = 1/8x^2 - 1/2 x + 3/2.

Y=1/8^2-1/2x + 3/2 would be the answer


Find the sine and cosine of each angle as a fraction and as a decimal. Round to the nearest hundredth.

Answers

Answer:

1st triangle:

sin(C): 0.64, [tex]\frac{16}{25}[/tex]

cos(C): 0.8, [tex]\frac{4}{5}[/tex]

Second triangle:

sin(C): 0.75, [tex]\frac{\sqrt{5} }{3}[/tex]

cos(C): 0.67, [tex]\frac{2}{3}[/tex]

Step-by-step explanation:

Using SOH CAH TOA, we know that to find the sin of an angle, it's Opposite/Hypotenuse.

To find the cos of an angle, it's adjacent/hypotenuse.

In the 1st triangle:

The adjacent to C is 16, the hypotenuse is 25.

[tex]\frac{16}{25} = 0.64[/tex] is the sin of C.

The adjacent to C is 20, and the hypotenuse is 25.

[tex]\frac{20}{25} = 0.8[/tex] is the cos of C.

In the second triangle:

The opposite to C is [tex]\sqrt{5}[/tex] and the hypotenuse is 2.

[tex]\frac{\sqrt{5} }{2} \approx0.75[/tex] is the sin of C.

The adjacent to C is 2 and the hypotenuse is 3.

[tex]\frac{2}{3} \approx 0.67[/tex] is the cos of C.

Hope this helped!

0.64 because it makes the most sense to me well because I looked it up too

Jo kept track of how much TV she watched each day for two weeks. How many hours in all did she spend watching TV?

Answers

Answer:

12 1/2 hours

Step-by-step explanation:

This is because (0*1) + (1/4*1) + (1/2*1) + (3/4*3) + (1*3) + (1 1/4*4) + (1 1/2*1) = 12 1/12.

i’ll mark you brainliest, please show work!! i’ll also give more points

Answers

Answer:

414

Step-by-step explanation

80+10hrs=230

23bacteria:1hr

414bacteria:18hrs

The answer is 414 I’m pretty sure

The two points on the coordinate plane represent Jane's house and her friend's house. Find the distance between the houses. Question 3 options: A) units B) units C) units D) units

Answers

Answer:

8.3

Step-by-step explanation:

To do this use the distance formula

[tex]d = \sqrt{(x2-x1)^2+(y2-y1)^2}[/tex]

First find the coordinates Jane (-5, -2) Friend (3, -4)

Now solve for d (8.246)

Answer:

10 units or approx. 8.25 units

Step-by-step explanation:

Jane's house is at coordinate (-5,-2) and her friend's house is at coordinate (3,-4).

You can find the answer in 2 ways.

1) Hypotenuse (the diagonal side or side across from the right angle) - approx. 8.25 units

2) Down and Side (go down 2 units and go side 8 units) - 10 units

Hope that helps and maybe earns a brainliest!

Have great day ahead! :)

-5+2(10b-2)=31 need help thanks!

Answers

Answer:

[tex]\Large \boxed{b=2}[/tex]

Step-by-step explanation:

-5+2(10b-2)=31

Expand brackets.

-5+20b-4=31

-9+20b=31

Add 9 on both sides.

20b=40

Divide both sides by 20

b=2

Answer:

b = 2

Step-by-step explanation:

-5+2(10b-2)=31

Multiply the terms in the bracket

That's

- 5 + 20b - 4 = 31

Group like terms

Send the constants to the right side of the equation

That's

20b = 31 + 4 + 5

Simplify

20b = 40

Divide both sides by 20

We have the final answer as

b = 2

Hope this helps you

0 3C = n
Use the data in the table to give an equation to represent the proportional relation
ship.
X Y
0.5 7
1. 14
1.5 21
2 28

y = 14x
y = 7x
7y = x
21y = x

Answers

Answer:

[tex]\huge \boxed{y=14x}}[/tex]

Step-by-step explanation:

x=0.5, y=7

x=1, y=14

x=1.5, y=21

x= 2, y=28

Let’s take the first equation.

y = 14x

y = 14(0.5) = 7

When x is 0.5, y is 7.

y = 14(1) = 14

When x is 1, y is 14.

y = 14(1.5) = 21

When x is 1.5, y is 21.

y = 14(2) = 28

When x is 2, y is 28.

y=14x i hope this helped you

What is the value of y?​

Answers

Answer:

63 degrees

Step-by-step explanation:

(180-54)/2=126/2=63

Answer:

The value of y is 63

Step-by-step explanation:

The sum of angles in a triangle is 180°.

The angles in the triangle are 54°, y°, y°

Sum of angles in the triangle = 54° + y° + y° = 54 + 2y°

To find y, equate the sum of the angles in the triangle to 180°

54° + 2y° = 180°

2y° = 180° - 54°

2y° = 126°

y = 126/2 = 63

What is 5 divided by 3,678

Answers

Answer:

Simple division..

divide 5 by 3,678

you'll get answer

0.00135943447

●✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎❀✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎●

      Hi my lil bunny!

❧⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯☙

[tex]5\ \div \ 3678[/tex]

[tex]= \frac{5}{3678}[/tex] (Decimal: 0.001359)

●✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎❀✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎●

If this helped you, could you maybe give brainliest..?

❀*May*❀

Write the geometric sequence in function notation.
7, 14, 28, 56, 112, ...
3
Ax) = (7). ()x-1
f(x) = (7) · (2)X-1
O AX) = (7) . (3)X-1
Rx) = (2) (+)*-1

Answers

Answer:

a(n) = 7*2^(n - 1)

Step-by-step explanation:

The first term of the given geometric sequence, 7, 14, 28, 56, 112, ... , is 7, and the common ratio is 2.  Each new term is twice the previous term.

Thus the general formula for the geometric sequence becomes

a(n) = 7*2^(n - 1).

As a check, let's see whether this formula correctly predicts the fourth term (56):  Here n = 4, and so a(4) = 7*2^(4 - 1) = 7*2^3 = 7*8 = 56.  Yes.

Answer:

f(x) = (7) ∙ (2)x–1

Step-by-step explanation:

The first term in the sequence is 7, and the common ratio is 2. Using the explicit formula and writing it in function notation results in f(x) = (7) ∙ (2)x–1.

I need help whats 5/8 + 14 the 5/8 is a fraction

Answers

Hey there!

5/8 + 14 = ?

We can say 14 is equal to 14/1 beause it doesn't have a denominator and we will need to solve for your equation

14 * 8 = 112 (upcoming numerator for now)

8 * 1 = 8 (upcoming denominator for now)

5 stays alone

New equation 5 + 112 / 8

5 + 112 = 117 (numerator)

8 = 8 (demominator)

Answer: 117/8 (if you're looking for the improper fraction version) ; 14 5/8 (if you're looking for the mixed number version) ; 14.625 (if you're looking for the decimal version of it)

⬆ ANY one of these choices SHOULD work

Good luck on your assignment and enjoy your day!

~LoveYourselfFirst:)

LCD = 8

Multiplying numerators and denominators to get the LCD in all fraction denominators
=58+14×81×8
=
5
8
+
14
×
8
1
×
8
Then rewriting the equation with the equivalent fractions
=58+1128
=
5
8
+
112
8
With like denominators we can operate on just the numerators
=5+1128
=
5
+
112
8
=1178
=
117
8
Simplifying the answer
=1178
=
117
8
=14 5/8
answer is 117/8 or simplified would be 14 and 5/8

What’s x ?? Help plzzz

Answers

Answer:

x = 69°

Step-by-step explanation:

1). JFGHI is a pentagon, every angle in a Pentagon is equal to 108°.

2). angle JIH + angle HIE = 180°; angle JIH = 108, so angle HIE = 72°.

3).  angle JDI is equal to 39° and angle IEH; so angle IEH = 39°

4). Now we know 2 out of the three angles in the triangle IHE, so we can find x!

5). x + angle HIE + angle IEH = 180°

    x + 72° + 39° = 180°

    x = 69°

Simplify (−3c3w5)3. −9c6w8 −9c9w15 −27c6w8 −27c9w15

Answers

Answer:

-6723cw

Step by Step:

(-3c * 3w * 5) * 3 - 9c * 6w* 8 - 9c * 9w * 15 - 27c * 6w * 8 - 27c * 9w * 15

The answer to you question is -6723cw


In two or more complete sentences, explain the theorem used in solving for the range of possible lengths of the third
side, AB of ^ABC

Answers

Answer:

pythagorean theorem - The length of the hypotenuse squared will always equal the sum of A squared and B sqaured. The equation is A^2 + B^2 = C^2.

Step-by-step explanation:

For Example

A = 4      A^2 = 16

B = 2      B^2 = 4

C = ?      C^2 = ?

16 + 4 = 20

[tex]\sqrt{20}[/tex] ≈ 4.5

C/Hypotenuse = 4.5

Solve for x show work plz

Answers

Answer:

20

Step-by-step explanation:

We know that ΔBAC and ΔBED are similar becuase of the AA Postulate (they both have a right angle and they both share ∠B). Since AC is 15/3 = 5 times longer than ED, the scale factor is 5 which means AB is 5 times longer than EB. This makes EB = 25 / 5 = 5. Since AB = AE + EB and we know that AB = 25, AE = x and EB = 5, 25 = x + 5 which means x = 20.

Did u figure it out?

If m(2x−3)+n(x+1)=5x for all real numbers x, where m and n are constants, what is the value of m?

Answers

Answer:

m = 1

Step-by-step explanation:

From the question given,

m(2x − 3) + n(x + 1) = 5x for all real numbers x.

Since x is a real number, we can obtain the value of m as follow:

Let x = 1

m(2x − 3) + n(x + 1) = 5x

m(2×1 − 3) + n(1 + 1) = 5×1

m(2 – 3) + n(2) = 5

m(– 1) + n(2) = 5

– m + 2n = 5 ...... (1)

Let x = 2

m(2x − 3) + n(x + 1) = 5x

m(2×2 − 3) + n(2 + 1) = 5×2

m(4 – 3) + n(3) = 10

m(1) + n(3) = 10

m + 3n = 10 ...... (2)

– m + 2n = 5 ...... (1)

m + 3n = 10 ...... (2)

Solve by elimination method

Add equation 1 and 2

– m + 2n = 5

+ (m + 3n = 10)

¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯

5n = 15

Divide both side by 5

n = 15/5

n = 3

Substitute the value of n into any of the equation to obtain the value of m. Here, we shall substitute n into equation 2.

m + 3n = 10

m + 3(3) = 10

m + 9 = 10

Collect like terms

m = 10 – 9

m = 1

Therefore, the value of m is 1

m = 1 is the answer to your problem

Help and show work plz

Answers

Answer:

RK: 4 and BC: 6

Step-by-step explanation:

SImilar triangles

find unknown / know sides

Which means (2x+2)/6 = (4x+2)/9

  (X+1)/3 = (4x+2)/9

Multiply 9 to both sides

9/3 (x+1) = (4x+2)

3x+3 = 4x+2

1 = x

Answer: RK = 4, BC = 6

Step-by-step explanation:

In a similar triangle, the ratios of corresponding sides are the same.  Thus, because of sides MK and AC, the triangles have a ratio of 6/9, or 2/3.  Thus, you can determine that 2/3(4x+2)=2x+2.

Distribute

8/3x + 4/3 = 2x + 2

Subtract 2x

2/3x + 4/3 = 2

Subtract 4/3

2/3x=2/3

Divide by 2/3

x = 1

Then, simply plug-in 1 for x to get that RK is 4 and BC is 6

Hope it helps <3

A triangle has an area of 369.25 square inches. The height of the triangle is 42.2 inches. What is the length of the base of the triangle? A. 17.5 in. B. 35 in. C. 42.7 in. D. 56 in. Please include all work.

Answers

Answer:

A. 17.5 in.

Step-by-step explanation:

The formula for the area of a triangle is 1/2 * (b * h), where h represents the height and b represents the base. We can solve from reverse using area/height = base*2

369.25/42.2 = 8.75

1/2base = 8.75

base = 8.75 * 2

base = 17.5

Answer:

369.25/42.2 = 8.75

1/2base = 8.75

base = 8.75 * 2

base = 17.5

hope I helped you

What is the total surface area of the square pyramid below? A square pyramid. The square base has side lengths of 10 centimeters. The triangular sides have a height of 14 centimeters. 100 cm2 200 cm2 280 cm2 380 cm2

Answers

Answer:

380 cm^2

Step-by-step explanation:

10*10=100(base square)

Each triangle= (14*10) /2=70

4 sides, so therefore: 70*4=280

280+100=380

Since the square base has side 10 cm and triangular side has height 14 cm, the total surface area of square pyramid is 380 cm²

To answer the question, we need to find the total surface area of the square pyramid

Total surface area of a square pyramid.

Since a square pyramid has a square base and four triangular sides, its surface area, A = area of square base + 4 × Area of triangular side.

Area of square base

Area of square with side, L is A = L²

Area of triangular base

Area of triangle with height, h and base, L which is the length of the square base is A' = 1/2Lh

So, total surface area of square pyramid is A" = L² + 4 × 1/2Lh

= L² + 2Lh

Given that the length of the square base is 10 cm and the height of the triangular side is 14 cm.

We have that

L = 10 cm and h = 14 cm

So, substituting the values of the variables intot he equation, we have

A" = L² + 2Lh

A" = (10 cm)² + 2 × 10 cm × 14 cm

A" = 100 cm² + 280 cm²

A" = 380 cm²

So, the total surface area of square pyramid is 380 cm²

Learn more about total surface area of square pyramid here:

https://brainly.com/question/22744289

#SPJ2

35= -5(2k+5)?????? need help

Answers

Answer:

k=-6

Step-by-step explanation:

Answer:

[tex]\Large \boxed{k=-6}}[/tex]

Step-by-step explanation:

35 = -5(2k+5)

Expand brackets.

35 = -10k - 25

Add 25 on both sides.

60 = -10k

Divide both sides by -10.

-6 = k

Other Questions
7. The General Society Survey asked a sample of 1200 people how much time they spent watching TV each day. The mean number of hours was 3.0 with a standard deviation of 2.87. A sociologist claims that people watch a mean of 4 hours of TV per day. Do the data provide sufficient evidence to disprove the claim? Use = .05 to test the hypothesis. a. What are your null and alternative hypotheses? b. What test is appropriate here? Why? c. What is your test statistic? d. What is your critical value? e. What is your final decision: do you reject the null or fail to reject the null? Help wanted ill do brainliest!! Bob: Listen, donuts are made to bring joy into our lives and to wake up our glazed faculties. Just let them be distributed according to unchanging moral principles of justice. The donuts will distribute themselves according to natural principles. We just take what we want and the leftovers will be appreciated by those who enjoy them most. Don't overcomplicate this. Where's the chocolate milk? End Part 2 the part of cytoplasm other than cell organelles is called aA solid metal cone of base radius a cm and height 2a cm is melted and solidspheres of radius are made without wastage. How many such spheres can bemade? Transcriptional regulation of operon gene expression involves the interaction of molecules with one another and of regulatory molecules with segments of DNA. In this context, define and give an example of each of the following: a. operator b. repressor c. inducer d. corepressor e. promoter f. positive regulation g. allostery h. negative regulation i. attenuation In a population of flowers growing in a meadow, C1 and C2 are autosomal codominant alleles that control flower color. The alleles are polymorphic in the population, with f (C1) = 0.8 and f (C2) = 0.2. Flowers that are C1C1 are yellow, orange flowers are C1C2, and C2C2 flowers are red. A storm blows a new species of hungry insects into the meadow, and they begin to eat yellow and orange flowers but not red flowers. The predation exerts strong natural selection on the flower population, resulting in relative fitness values of C1C1 = 0.30, C1C2 = 0.60, and C2C2 = 1.0.Required:a. What is the C1C2 genotype frequency among the progeny of predation survivors?b. What is the C2C2 genotype frequency among the progeny of predation survivors?c. What is the C2C2 genotype frequency among the progeny of predation survivors?d. What is the equilibrium C2 allele frequency in the predation environment? I need help one this question how do you Factor 75 - 95. How did william Penris religious beliefs impact the founding of Pennsylvania? What can be inferred about Deng's beliefs aboutcapitalism, based on this passage?WE CAN DEVELOP A MARKET ECONOMY UNDERSOCIALISMModernization does represent a great new revolution.The aim of our revolution is to liberate and expand theproductive forces. Without expanding the productiveforces, making our country prosperous and powerful, andimproving the living standards of the people, ourrevolution is just empty talk. We oppose the old societyand the old system because they oppressed the peopleand fettered the productive forces. We are clear aboutthis problem now. The Gang of Four [leaders of theCultural Revolution) said it was better to be poor undersocialism than to be rich under capitalism. This is absurd.-Deng Xiaoping,1979He agrees with all of the principles of capitalism.He rejects all of the principles of communism.He thinks that capitalism has some benefits in asocialist system.He believes that there is no room for capitalistprinciples in a socialist system. A local restaurant increases the prices on its burgers as soon as it begins a promotional campaign. Which of the following is most likely to be true? a) The promotional campaign featured how much better their burgers are. b) The promotional campaign focused on the value per dollar. c) The promotional campaign made demand more elastic. d) All of the above. PLEASE HELPYou have to create 3 functions to make hills on a grapRequirements are in the photo.(ignore graphs)4. Write equations for three hills that do meet the requirements. Sketch them on one axis. (For thepurposes of this exercise, this is a sketch, so the steepness and minimums and maximums of thegraphs do not need to be exact). (6 points: 1 point for each equation, 1 point for each sketched curve) As the athletic shoe buyer for Sports Authority, how would you go about forecasting sales for a new Nike running shoe? When organizations relate to their environments in ways that involve ethical dilemmas and decisions, these situations are said to fall within the context of the organization's _____ responsibility. Independent random samples taken on two university campuses revealed the following information concerning the average amount of money spent on textbooks during the fall semester.University A University BSample Size 50 40Average Purchase $260 $250Standard Deviation (s) $20 $23We want to determine if, on the average, students at University A spent more on textbooks then the students at University B.a. Compute the test statistic.b. Compute the p-value.c. What is your conclusion? Let = 0.05. A train leaves the station traveling north at 75 mph 2 hours later a second train leaves on a parallel track and travels north at 125 mph how far from the station will they meet Which of the following should a pregnant client avoid during exercise? Kenji earned the test scores below in English class.79, 91, 93, 85, 86, and 88What are the mean and median of his test scores? You purchased 100 shares of stock for $5 per share. After holding the stock for 8 years and not recieving any dividends, you sell the stock for $42 per share. What are the holding period and annual return on this investment? a. 185%, 14.42% b. 920%, 41.63% c. 740%, 30.48% d. 625%, 27.66% An existing robot can be kept if $2,300 is spent now to upgrade it for future service requirements. Alternatively, the company can purchase a new robot to replace the old robot. The following estimates have been developed for both the defender and the challenger. The company's before-tax MARR is 25% per year. Based on this information, should the existing robot be replaced right now? Assume the robot will be needed for an indefinite period of time.Defender Challenger Current MV $39,000 Purchase price $50,000Required upgrade $2,300 Installation cost $5,000Annual expenses $1,600 Annual expenses $1,000Remaining useful life 6 years Useful life 10 yearsMV at end of useful life -$1,500 MV at end of useful life $7,000The AW value of the defender is:________ $.