The graph of y=4x[tex]x^{2}[/tex]-4x-1 is shown

The Graph Of Y=4x[tex]x^{2}[/tex]-4x-1 Is Shown

Answers

Answer 1

Answer:

i.) (-0.25, 0), (1.25, 0)

ii.) (0.5, 2), (1.5, 2)

Step-by-step explanation:

For i, it is asking for the roots of the quadratic, or where the graph crosses the x-axis.

For ii, it is asking for the x-values when y = 2.


Related Questions

Which of the following is an equivalent form of the
compound inequality -22 > -5x - 72 -3? (1 point)
Select one:
O a. -5x - 75 -22 and -5x - 72-3
O b. -5x - 7> -22 and -5x - 72-3
O c. -5x > -22 and -7 -3
O d. -5x - 7 < -22 and -5x - 75 -3

Answers

Step-by-step explanation:

_22greater than minus 2 x minus minus 72 minus 3

72 minus 22 minus 3greathan than 2x

49greatern than 2 x

The price (p), in cents, of a sweet is directly proportional to the mass (m) of the
sweet.
When the sweet cost 55 cents, the mass is 220 g. Find
(a) the equation connecting p and m.
(b) the mass, in grams, of a sweet which cost 540 cents,
(c) the cost of a sweet in cents, with a mass of 115 g

Answers

The equation for constant proportionality is:

a = k • b where k is the constant

Since we are given the letter variables, replace a and b.

p = k • m

Part (a)

We know p = 55 cents when m = 220g, insert those values in equation:

55 = k • 220

55/220 = k

k = 1/4

Therefore, equation connecting p and m is:

p = 1/4 • m

Part (b)

We know p = 540 and we know k ( constant term )

540 = 1/4 • m

540 x 4 = m

m = 2160g

Part (c)

We know m = 115g, k is constant and therefore remains 1/4

p = 1/4 x 115g = 28.75 cents

~Hoodini, hope this helps.

What is the sum of the fractions? Use the number line and equivalent fractions to help find the answer. Negative 1 and one-fourth + one-half A number line going from negative 3 to 0 in increments of one-fourth. Negative 1 and three-fourths Negative 1 and one-half Negative three-fourths Negative one-half

Answers

Answer:

C. Negative three-fourths

Step-by-step explanation:

Given two fractions -1 1/4 and 1/2, the sum of the fractions is expressed as shown below:

-1 1/4 + 1/2

Converting the improper fraction -1 1/4 to mixed fraction will give -5/4. The expression will now become:

-5/4 + 1/2

Taking the LCM of the expression

= (-5+2)/4

= -3/4

Hence the sum of fraction Negative 1 and one-fourth and one-half is negative three-fourths

Answer:

-3/4

Step-by-step explanation:

-1 1/4 +1/2

-5/4    +    2/4

-3/4

What is the equation for a straight line that would allow you to predict the value of Y from a given value of X. That is, calculate the value of "a" and the value of "b" and then substitute the 2 values into the generic equation (Y = a + bX) for a straight line. (Hint: calculate "b" first)

Answers

Answer:

[tex]m=-\frac{13}{20.8}=-0.625[/tex]

Nowe we can find the means for x and y like this:

[tex]\bar x= \frac{\sum x_i}{n}=\frac{16}{5}=3.2[/tex]

[tex]\bar y= \frac{\sum y_i}{n}=\frac{35}{5}=7[/tex]

And we can find the intercept using this:

[tex]b=\bar y -m \bar x=7-(-0.625*3.2)=9[/tex]

So the line would be given by:

[tex]y=-0.625 x +9[/tex]

Step-by-step explanation:

We have the following data:

X: 3,3,2,1,7

Y:6,7,8,9,5

We want to find an equationinf the following form:

[tex] y= bX +a[/tex]

[tex]a=m=\frac{S_{xy}}{S_{xx}}[/tex]

Where:

[tex]S_{xy}=\sum_{i=1}^n x_i y_i -\frac{(\sum_{i=1}^n x_i)(\sum_{i=1}^n y_i)}{n}[/tex]

[tex]S_{xx}=\sum_{i=1}^n x^2_i -\frac{(\sum_{i=1}^n x_i)^2}{n}[/tex]

So we can find the sums like this:

[tex]\sum_{i=1}^n x_i = 3+3+2+1+7=16[/tex]

[tex]\sum_{i=1}^n y_i =6+7+8+9+5=35[/tex]

[tex]\sum_{i=1}^n x^2_i =72[/tex]

[tex]\sum_{i=1}^n y^2_i =255[/tex]

[tex]\sum_{i=1}^n x_i y_i =99[/tex]

With these we can find the sums:

[tex]S_{xx}=\sum_{i=1}^n x^2_i -\frac{(\sum_{i=1}^n x_i)^2}{n}=72-\frac{16^2}{5}=20.8[/tex]

[tex]S_{xy}=\sum_{i=1}^n x_i y_i -\frac{(\sum_{i=1}^n x_i)(\sum_{i=1}^n y_i)}=99-\frac{16*35}{5}=-13[/tex]

And the slope would be:

[tex]m=-\frac{13}{20.8}=-0.625[/tex]

Nowe we can find the means for x and y like this:

[tex]\bar x= \frac{\sum x_i}{n}=\frac{16}{5}=3.2[/tex]

[tex]\bar y= \frac{\sum y_i}{n}=\frac{35}{5}=7[/tex]

And we can find the intercept using this:

[tex]b=\bar y -m \bar x=7-(-0.625*3.2)=9[/tex]

So the line would be given by:

[tex]y=-0.625 x +9[/tex]

What decimal represents the shaded part in the picture?

Answers

Answer:

40/100 = 0.4

your welcome

how to do this question plz ​

Answers

Answer:

adult = £7 and child = £2

Step-by-step explanation:

let a represent adult ticket and c child ticket, then

2a + 3c = 20 → (1)

a + 4c = 15 → (2)

Multiply (2) by - 2 and add to (1) to eliminate a

- 2a - 8c = - 30 → (3)

Add (1) and (3) term by term

- 5c = - 10 ( divide both sides by - 5 )

c = 2

Substitute c = 2 into either of the 2 equations and solve for a

Substituting into (1)

2a + 3(2) = 20

2a + 6 = 20 ( subtract 6 from both sides )

2a = 14 ( divide both sides by 2 )

a = 7

Cost of adult ticket is £7 and child ticket is £2

You have a prepaid bus pass that has $10 on it. Every time you ride the bus it costs you 50 cents. Assume that you cannot put anymore money on the card after it is used. Create an equation for the situation above.

Answers

Answer:

y = 10 - 0.5x for 0 &le;  x &le; 20

Step-by-step explanation:

Initial value = (0,10)

final value = (20,0)

Cost per trip = debit of 0.50 = slope

equation : y = 10 - 0.5x for 0 <=  x <= 20

PLEASE HELP - Find the area of a regular octagon with a side length of 5 cm. Round to the nearest tenth. (Please explain in full detail the process, im trying to learn how to do these) thank you!!

Answers

Answer:

120.7

Step-by-step explanation:

The formula for finding the area of a regular octagon is: A = 2(1+[tex]\sqrt{2}[/tex])[tex]a^{2}[/tex].

Using the formula I got 120.7(rounded).

The area of the regular octagon with a side length of 5 cm is approximately 120.7cm².

We have,

To find the area of a regular octagon with a side length of 5 cm, you can use the following formula:

Area = 2 * (1 + √2) * (Side Length)²

Plugging in the values:

Area = 2 * (1 + √2) * (5 cm)² ≈ 120.7 cm²

Therefore,

The area of the regular octagon with a side length of 5 cm is approximately 120.7cm².

Learn more about octagons here:

https://brainly.com/question/30182906

#SPJ4

The solution for the following system of linear equation 3m-2n=13 is (2,-1) true or false

Answers

Answer:

Not True

Step-by-step explanation:

>_<

[tex]\text{To find your answer, plug in the values to the equation and solve:}\\\\3(2)-2(-1)=13\\\\\text{Solve:}\\\\3(2)-2(-1)=13\\\\6+2=13\\\\8=13\\\\\text{8 does not equal 13, therefore making the equation FALSE}\\\\\boxed{\text{False}}[/tex]

What is the surface area of a sphere with a radius of 13 units?
A. 6767 units2
B. 10147 units
C. 8451 units2
D. 5077 units2

Answers

I hope this helps you

Sphere Surface Area Formula is

4.pi.r^2

4.pi.13^2

4.pi.169

676.pi

The surface area of the sphere with radius 13 units is S = 676π units²

What do you mean by a Sphere?

A sphere is a three-dimensional geometrical object that is perfectly round in shape. A sphere is a fully spherical, three-dimensional geometrical object. Every point on its closed surface is equally spaced from the centre, which is the only point on the surface.The distance from the center to any point on the surface of the sphere is known as the radius of the sphere..

Surface Area of a Sphere = 4πr²

Volume of a Sphere = ( 4/3 ) πr³

where r is the radius of the sphere

They are used to represent many natural and man-made objects such as planets, basketballs, and molecules.

Let the data be ,

Let r = 13 units be the sphere's radius.

Let S be the sphere's surface area.

And , Surface Area of a Sphere = 4πr²

On simplifying , we get

S = 4π ( 13 )²

S = 4π ( 169 )

S = 676π units²

Thus, the sphere's surface area is S = 676 units2.

Click here to discover more about spherical.

https://brainly.com/question/27933834

#SPJ7

Find the value of y.

Answers

197 degrees because 365 degrees minus “x”=168 equals 197
y is equal to 197 degrees

Hey everyone, can you please help me with this question? THANKS!

Answers

Answer:

6 granite, 3 marble, 14 sandstone, 1 slate

ratio of sandstone to marble

how many sandstone does she have .....14

how many marble does she have......3

so the ratio would be 14:3

Answer:

C. 14:3

Step-by-step explanation:

Dana has 14 pieces of sandstone.

Dana has 3 pieces of marble.

The ratio of pieces of sandstone to pieces of marble is 14:3.

The ratio cannot be simplified further.

Complete the table for different values of X in the polynomial expression -7x^2+32x+240. Then, determine the optimal price that the taco truck should sell it’s tacos for. Assume whole dollar amounts for the tacos.

Answers

Answer:

$6

Step-by-step explanation:

Tico’s taco truck is trying to determine the best price at which to sell tacos, the only item on the menu, to maximize profits. The taco trucks owner decided to adjust the price per taco and record data on the number of tacos sold each day with each new price. When the taco truck charges $4 for a taco, it sells an average of 60 tacos in one day. With every $1 increase in the price of a taco, the number of tacos sold per day decreases by 7.

The owner can calculate the daily revenue using the polynomial expression (-7x²+32x+240),

where x is the number of $1 increases in the taco price. In this activity, you’ll interpret and manipulate this expression and the scenario it represents.

x is number of $1 increments above the initial price of $4.  (x=0 means a price of $4, x=1 means a price of $5, etc.)

The revenue is -7x²+32x+240.  The average number of tacos sold is the revenue divided by the price.

For example, if x = 0, then the taco price is $4, the revenue is $240, and the number of tacos sold is 60.

If x = 1, then the taco price is $5, the revenue is $265, and the number of tacos sold is 53.

Each time x increases by 1, the number of tacos sold decreases by 7.

Continuing:

[tex]\left[\begin{array}{cccc}Value\ of\ x&Taco\ Price\ (\$)&Average\ Number\ of\ Tacos\ Sold&Daily\ Revenue\ (\$)\\0&4&60&240\\1&5&53&265\\2&6&46&276\\3&7&39&273\\4&8&32&256\\5&9&25&225\\6&10&18&180\end{array}\right][/tex]

The optimal price is $6.  At this price, the revenue is a maximum at $276.

Written Response! Please help!
Evelyn believes that if she flips a coin 480 times, it will land tails up exactly 240 times. What would you tell Evelyn about her prediction?

Answers

Based on Evelyn's response, it can be said that she predicts that there is a 50% chance of the coin landing on tails and a 50% chance of the coin landing on heads.

What is the probability?

Probability determines the chances that an event would happen. The probability the event occurs is 1 and the probability that the event does not occur is 0.

The probability that the coin lands on tails is half of the number of times the coin is tossed. This means she belives that there is an equal chance that the coin would land on either heads or tails.

To learn more about probability, please check: https://brainly.com/question/13234031

two factors of -48 have a difference of 19. the factor with a greater absolute value is positive. what is the sum of the factors? -19, -13 13 or 16

Answers

Answer:

-19

Step-by-step explanation:

-19 is the absolute value of 19

hope this helps

Answer:

sum = +13

Step-by-step explanation:

The possible factors of 48 are

{1,2,3,4,6,8,12,16,24,48}

Of these, the pair 3,16 gives a sum of 19 and a product of 48.

We are given that 16 (greater absolute value) is positive, so 3 is negative.

The sum of the two is therefore 16-3 = 13

A school contains 357 boys and 323 girls.

If a student is chosen at random, what is the probability that is a girl?

Correct your answer to 2 decimal places.

Answers

Answer:

19/40

Step-by-step explanation:

just divide the number of girls by the total number of students.

323/680 = 19/40 or 0.48

y = 5x + 2 3x = –y + 10 What is the solution to the system of equations

Answers

Answer:

x = 1 , y = 7

Step-by-step explanation:

Solve the following system:

{y = 5 x + 2 | (equation 1)

3 x = 10 - y | (equation 2)

Express the system in standard form:

{-(5 x) + y = 2 | (equation 1)

3 x + y = 10 | (equation 2)

Add 3/5 × (equation 1) to equation 2:

{-(5 x) + y = 2 | (equation 1)

0 x+(8 y)/5 = 56/5 | (equation 2)

Multiply equation 2 by 5/8:

{-(5 x) + y = 2 | (equation 1)

0 x+y = 7 | (equation 2)

Subtract equation 2 from equation 1:

{-(5 x)+0 y = -5 | (equation 1)

0 x+y = 7 | (equation 2)

Divide equation 1 by -5:

{x+0 y = 1 | (equation 1)

0 x+y = 7 | (equation 2)

Collect results:

Answer: {x = 1 , y = 7

Answer:

D) (1,7)

Step-by-step explanation:

just took the test

a right square pyramid has a slant height of 20 feet, and the length of a side of the base is 32 feet. what is the height, h, of the pyramid?

Answers

Answer:

The pyramid's height h = 12 ft

Step-by-step explanation:

Notice that the slant height of the pyramid forms a right angle triangle with the segment that joins the bottom end of the slant height with the center of the pyramid's base, and with the pyramid height (h).

The segment joining the slant height with the center of the pyramid's base is one half of the side of the base in length, so that it; 16 feet.

then we have a right angle triangle with hypotenuse given by the pyramid's slant height (20 ft), a leg given by 16 ft, and we need to find the length of the second leg (pyramid's height (h).so we use the Pythagorean theorem:

[tex]hyp^2=leg_1^2+leg_2^2\\(20\,ft)^2= (16\,ft)^2+h^2\\h^2=400\,ft^2-256\,ft^2\\h^2=144\,ft^2\\h=12 \,ft[/tex]

Answer:

C.12ft

Step-by-step explanation:

for people on edmentum

Pqrs is a rhombus. Find x, y and z. Justify your finding.

Answers

Answer:

x = 4, y = 2√21, z = 10

Step-by-step explanation:

Since all sides of a rhombus are congruent, z = SR = 10. Since the diagonals of a rhombus bisect each other, x = PO = 4. Using Pythagorean Theorem (look at ΔPSO, we know that PS = 10 and PO = 4), y = 2√21.

The population of Oregon is about 4,000,000 what is the order of magnitude of this number? A) 6 B) 4 C) 3 D) 7

Answers

Answer:

A

Step-by-step explanation:

Here, we are tasked with finding the order of magnitude.

What we are basically asked here is to write the number in powers of ten.

Thus

4,000,000 = 4 * 10^6

We can see that 10 is raised to the power of six here and thus we can say that the order of magnitude here is simply 6


The width of a rectangle is 38 centimeters. The perimeter is at least 692 centimeters. Write an inequality that represents all possible values for the length of the rectangle. Then solve the inequality.

Answers

Answer:

See bolded / underlined / italicized below -

Step-by-step explanation:

This is a great question!

If x were the length of this rectangle, then we could conclude the following,

2( 38 ) + 2( x ) > 692,

As you can see there is a greater than sign present, as the perimeter is at least 692 centimeters. In this case the perimeter is given to be at least 692 centimeters, but can also be calculated through double the width and double the length together. And of course we are given the width to be 38 cm -

2( 38 ) + 2x > 692,

76 + 2x > 692,

2x > 616,

x > 308

Solution = Length should be at least 308 cm

( The attachment below is not drawn to scale )

please help i will give out brainliest

Answers

Answer:

6, 0, 10

b

Step-by-step explanation:

Please help i will give out brainliest

Answers

Answer:

A

Step-by-step explanation:

To determine if a point lies on the curve, substitute the x- coordinate into the equation. If the value obtained is equal to the y- coordinate then the point lies on the curve, that is

A

y = ([tex]\frac{3}{2}[/tex] )² = [tex]\frac{9}{4}[/tex] ≠ [tex]\frac{9}{2}[/tex] ← not on line

B

y = (- 1)² = 1 ← lies on line

C

y = 4² = 16 ← lies on line

D

y = ([tex]\frac{1}{2}[/tex] )² = [tex]\frac{1}{4}[/tex] ← lies on line

in the function y+3=(1/3x)^2, what effect does the number 1/3 have on the graph, as compared to the graph of y=x^2

Answers

Answer:

I think the answer is it stretches the graph horizontally by a factor of 3.

Step-by-step explanation:

Answer: it stretches the graph horizontally by a factor of 3

Step-by-step explanation: I got it correct on a-pex

Type the correct answer in the box. Use numerals instead of words. If necessary, use / for the fraction bar. Penelope has $1,459.75 in her bank account. To pay her bills, she writes 4 checks in the amounts of $200.25, $359.45, $125, and $299.35. Then she deposits $375 into her account. Penelope’s account balance after she pays her bills and makes the deposit is $ .

Answers

Answer:

$850.7

Step-by-step explanation:

Penelope has $1459.75 in her account.

She pays different amount that are given above.

i.e.

=1459.75-200.25-359.45-125-299.35

=475.7

Then she deposit $375

Now,

=475.7+375

=850.7

So, She has $850.7 in her account after she pays her bills and makes deposits.

Answer:

$805.7 OwO

Step-by-step explanation:

HELP PLEASEEE ASAAAAPPPPPPPPPPPP I WILL GIVE BRAINLY TO THE FIRST ONE!!!!!!!!

Answers

Answer:

the total amount is £ 756.

hope it helps..

Jennifer had $80 to spend on herself. She spent 1/5 of the money on a sandwhich, 1/6 for a ticket to a museum, and 1/2 of it on a book. How much money does Jennifer have left over?

Answers

Answer:

$10.67

Step-by-step explanation:

Jennifer has a total amount of $80 to buy what she needs

1/5 of the money is spent on sandwich

= 1/5×80

= $16

The amount spent on sandwich is $16

1/6 of the money is spent on tickets to a museum

= 1/6×80

= 0.166×80

= $13.33

The amount spent on tickets is $13.33

1/2 of the money is spent on a book

= 1/2×80

= 0.5×80

= $40

The amount spent on a book is $40

Therefore, to calculate the amount left on her we add the total money spent and subtract it from the original amount of money that she has to spend

= $80-$16+$13.33+$40

= $80-$69.33

= $10.67

Hence the amount of money left on Jennifer is $10.67

One positive integer is 1 greater than 3 times another positive integer. If the product of the two integers is 154, then what is the sum of the two integers?

Answers

Answer:

29

Step-by-step explanation:

Let the smaller integer be x.

The other integer is 1 greater than 3 times x, or 3x + 1.

The product is 154.

x(3x + 1) = 154

3x^2 + x - 154 = 0

157 = 2 * 7 * 11

14 * 11 = 154

22 * 7 = 154

(3x + 22)(x - 7) = 0

3x + 22 = 0 or x - 7 = 0

3x = -22 or x = 7

x = -22/3 or x = 7

-22/3 is not a positive integer, so we discard that solution.

The smaller integer is 7.

3x + 1 = 3(7) + 1 = 22

The greater integer is 22.

The sum of the integers is 7 + 22 = 29

Answer: 29

Step-by-step explanation:

need help asap!!! WILL GIVE THE MOST BRAINIEST TO WHOEVER ANSWERS IT RIGHT PUT THE ANSWER IN A BOX

Answers

Answer:

36PI

113.04

Step-by-step explanation:

4/3*PI*R^3=V

4/3*PI*27=V

36*PI=V

113.04

BRAINLIEST PLS

              -ZYLYNN JADE

Answer:

113.10 (to the nearest hundredth)

Step-by-step explanation:

just google volume of a sphere

a group of girls bought 72 rainbow hairbands ,144 brown and black hairbands and 216 bright colored hairbands .what is the largest possible number of girls in the group

Answers

Answer:

72

Step-by-step explanation:

We are assuming that all girls in the group bought the same number of items.

Therefore, we need to find the highest common factor of 72, 144 and 216.

HCF

72 = 2 * 2 * 2 * 3 * 3

144 = 2 * 2 * 2 * 2 * 3 * 3

216 = 2 * 2 * 2 * 3 * 3 * 3

The product of the emboldened numbers is the highest common factor.

That is:

2 * 2 * 2 * 3 * 3 = 72

Therefore, the largest possible number of girls in the group is 72.

Other Questions
Which letter comes next? F H K N Z ? Choose from: L M T Y Rosa records the distance that a toy car rolls and the time it takes to cover the distance. What scientific practice is this? collecting data asking a question providing explanations communicating results A corporation produces a single product and has the following cost structureNumber of units produced each year 7000Variable costs per unit Direct materials 51Direct labor 12Variable manufacturing overhead 2Variable selling and administrative expense 5Fixed costs per year Fixed manufacturing overhead.. 441000 Fixed selling expense 112000The absorption costing unit product cost is:______. A) $149 per unit B) $65 per unit C) $63 per unit D) $128 per unit 1. Which of these is a Pythagorean triple? (a) (3, 4, 5) (b) (5, 6, 7) (c) (10, 11, 12) (d) (15, 16, 17)2. If y2 = 172 82. What is the value of y? (a) 10 (b) 25 (c) 15 (d) 163. How many kilograms are there in 5 tonnes? (a) 500 kg (b) 50 000 kg (c) 5, 000 kg (d) 50 kg4. If the probability that a girl win a race is 0.6. What is the probability that that the girl loses the race? (a) 0.4 (b) 1 (c) 4 (d) 65. The distance from Lagos to Ibadan can be measured using which of the following units of measurement? (a) centimeter (b) Millimeter (c) Kilograms (d) Kilometer6. The longest side of a right-angled triangle is called? (a) right side (b) Opposite (c) Hypotenuse (d) None of the above7. The mass/weight of your pen can be measured using (a) Grams (b) Kilometer (c) Centimetre (d) Tonne8. There 5 blue balls, 8 red balls and 2 black balls in a basket. One ball is picked at random. Find the probability that the ball picked is red. (a) 58 (b) 815 (c) 215 (d) 139. The mass of a lorry can be measured using which of the following? (a) liter (b) Kilometer (c) Tonne (d) Milligram10. How many tonnes are there in 15 000 kg? (a) 150 tonnes (b) 15 tonnes (c) 1500 tonnes (d) 1.5 tonnes11. What is 20% of #38 000? (a) #7 600 (b) #3 800 (c) #2 800 (d) #76012. Express 17:30 hours as a.m. or p.m. time. (a) 7:30 pm (b) 7:30 a.m. (c) 5:30 p.m. (d) 5:30 a.m.13. Angle 900 is also called? (a) left angle (b) quarter angle (c) right angle (d) middle angle14. Kilo is a Greek word from the word khilioi meaning what? (a) Million (b) Thousand C) Billion D) Hundred15. Which is the most widely used system of measurement in the world? (a) tape rule system (b) counter system (c) metric system (d) none of the abovePART BANSWER ALL QUESTIONS1. The largest unit of measurement for distance/length is kilometer. True or false .2. The probability that a student fails an examination is 0.2. What is the probability that the student passes the examination? ................. The members of a village cooperative agree to contribute time and money towards a one year village improvement programme (VIP). Below is the table of activities of the programme.Activity Time (hour) Money(#)Planting/ watering trees 300 20 000Collecting/burning rubbish 200 0Clearing storm ditches 80 5 000Making speed bumps 20 5 0003. How much is the total money pledged? ..4. Which activity takes more money? ..5. Which activity cost no money? . State if a triangle is acute ,obtuse, or right _____ uses an iterative process that repeats the design, development, and testing steps as needed, based on feedback from users. What are all of the real roots of the following polynomial? f(x) = x4 - x3 - 13x2 + x + 12 Find the sum of the three expressions and choose the correct answer. -8a 3 b + 3a2 b 2 - 5 2 + 5a 2 b 2 3a 3 b + 7 - 9a 2 b 2 $6,000 dollars is invested in two different accounts earning 3% and 5% interest. At the end of one year, the two accounts earned $220 in interest. How much money was invested at 3%? $2,000 $3,000 $4,000 Question 18 (5 points)Identify the independent and dependent variables in the following situation: Thetemperature of the water decreases as a diver descends to the bottom of a lake.The independent variable is the temperature of the water, and the dependentvariable is the depth below the surface of the lake.The independent variable is the depth below the surface of the lake, and thedependent variable is the temperature of the water.The independent variable is the speed at which the diver descends, and thedependent variable is the temperature of the water.The independent variable is the type of boat, and the dependent variable is thetemperature of the water. Darrell works for a company that promotes an entrepreneurial culture. Employees are encouraged to discuss new ideas. Development time is provided on the job for those ideas that float to the top. Employees who use their creative talents to generate ideas and create products within large companies are called A simple random sample of 20 items resulted in a sample mean of 10. The population standard deviation is = 3. Round your answers to two decimal places. a. What is the standard error of the mean, ? b. At 95% confidence, what is the margin of error? A drug problem can quickly consume A)a small portions of a person income B)the bulk of a person income C)a person excess income How can a writer edit a narrative to include vivid imagery? Select three options.use specific, strong verbs in place of general onesuse dialogue to develop the characteruse descriptive words that appeal to the reader's sensesuse setting to place the story for the readerI use active voice to show instead of tell the reader marcus receives an inheritance of $13,000. he decides to invest this money in a 10-year certificate of deposit (CD) that pays 3.0% interest compounded monthly. how much money will marcus receive when he redeems the CD at the end of 10 years? Which lifestyle is most likely to lead to infertility in a male ? A man who works as a mechanic A man who works as a computer programmer and sits at desk magority of the day A semi professional athlete A man who works for a companys that applies pesticides to lawns the explorer __accurately mapped the coasts of europe and north ameerica write the equation of a line that is perpendicular to x=3 and that passes through the point (0 -4) will mark brainliest asap!!! Fogerty Company makes two products, titanium Hubs and Sprockets. Data regarding the two products follow: Direct Labor-Hours per Unit Annual Production Hubs 0.60 15,000 units Sprockets 0.20 50,000 units Additional information about the company follows: a. Hubs require $39 in direct materials per unit, and Sprockets require $18. b. The direct labor wage rate is $12 per hour. c. Hubs are more complex to manufacture than Sprockets and they require special equipment. d. The ABC system has the following activity cost pools: Estimated Activity Activity Cost Pool (Activity Measure) Overhead Cost Hubs Sprockets Total Machine setups (number of setups) $ 28,980 140 112 252 Special processing (machine-hours) $ 92,000 4,600 0 4,600 General factory (organization-sustaining) $ 89,000 NA NA NA Required: 1. Compute the activity rate for each activity cost pool. 2. Determine the unit product cost of each product according to the ABC system. (Round intermediate calculations and final answers to 2 decimal places.) Based on the information in the graph, what conclusions can be drawn about the rate of skin cancer in mencompared to that in women?than in women