-15 POINTS- A company makes wax candles shaped like rectangular prisms. Each candle is 5cm long, 4cm wide, and 12cm tall. If the company used 3840 cm³ of wax, how many candles did they make?

Answers

Answer 1

Answer:

16 candles

Step-by-step explanation:

first you must know what the volume of the rec prism is so multiply the b*h*w and you will have 240. divide 3840 by 240 and you will have 16

Answer 2

Answer:

16

Step-by-step explanation:

We need to find out the area of each candle. We can do this by multiplying all the lengths out and getting 240 [tex]cm^3[/tex] per candle. Now we divide 3840, the total amount of wax used, by 240 the amound needed for one candle, and we get 16. This means 16 candles were made.


Related Questions

HELP!!! SHOW WORK PLEASE.

Answers

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

The answer is x = 3 I hope you understand

Dilate line f by a scale factor of 3 with the center of dilation at the origin to create line f'. Where are points A' and B' located after dilation, and how are lines f and f' related?

Answers

Answer:

a 0,1 and b 1,0

Step-by-step explanation:

exam took

Answer:

The other answer is incorrect the answer is

D) The locations of A' and B' are A' (0, 6) and B' (6, 0); lines f and f' are parallel.

Patrick graphed (shown below) the high temperatures (in °C) that he experienced on each day of his trip to
Homer, Alaska
What is the meaning of point A?​

Answers

Answer:

(7, -5.5)

Step-by-step explanation:

is seen below on this graph (7, -5.5) shows x = 7 and y = -5.5

(7, 5.5) look ^^ they should help u

8 w 4 + 10 w 3 − 12 w 2 Factor completely

Answers

Answer:

[tex] 2w^2(w + 2)(4w - 3) [/tex]

Step-by-step explanation:

[tex] 8w^4 + 10w^3 − 12w^2 = [/tex]

First, factor out the GCF of all terms, 2w^2:

[tex] = 2w^2(4w^2 + 5w - 6) [/tex]

Now we work on the trinomial.

Think of ax^2 + bx + c.

Multiply ac

ac = 4 * (-6) = -24

Now we need two numbers whose product is -24 and whose sum is 5.

They are -3 and 8.

We break up the middle term, 5w, into a sum using these two numbers.

5w = 8x - 3w

[tex] = 2w^2(4w^2 + 8w - 3w - 6) [/tex]

Now we factor by parts. We factor a common factor out of the first two terms, and we factor a common factor out of the last two terms.

[tex] = 2w^2[4w(w + 2) - 3(w + 2)] [/tex]

[tex] = 2w^2(w + 2)(4w - 3) [/tex]

i need help please ​

Answers

260 units2 is the answer

A. 260 units2. That’s the answer

Math Question (10 Points):

Answers

Answer:

1 state

Step-by-step explanation:

You can see this by the state increases by 1, from 14-15, in the graph above.

Also, can you please give me the brainliest answer thing. :)

1 state (hope this helps) <3

what is x? Please explain how you got it so I can understand for future questions.

Answers

Answer:

[tex]\boxed{x = 40}[/tex]

Step-by-step explanation:

Hey there!

Well angles like 142 and 2x + 22 equal each other because they are across from each other.

So we can set up the following,

142 = 3x + 22

Single out x

-22 to both sides

120 = 3x

Divide both sides by 3

x = 40

Hope this helps :)

Answer:

x=40

Step-by-step explanation:

142=3x+22

3x+22-22=142-22

3x=120

120/3=40

Someone explain to me if this is correct?

Answers

Answer:

Yes, that is correct.

Step-by-step explanation:

W = x

L = ?

A = x^2 + 12x

(x^2 + 12x)/x = x + 12

L = x + 12

Subbing in 10 for each X, we get:

Perimeter: 64

2(10) + 2(10 + 12) = 20 + 44 = 64

Area: 220

10 * 22 = 220

Part A looks perfect. You've shown that x^2+12x factors into x(x+12) indicating that x is the width and x+12 is the length. Convention usually has the length be longer than the width, but to be honest, the order doesn't really matter (since we can multiply in any order we want).

----------------

Part B is a bit hazy. You show that 10 * 22 = 220 is the area, so you imply that the rectangle has width 10 and length 22. However, you don't directly mention the dimensions of the rectangle.

You can pick either x^2+12x or x(x+12). I prefer x(x+12) as its easier in my opinion. You don't need to do both.

All you really need to do is say that if x is the width and x = 10, then the width is 10. Furthermore, if x+12 is the length then x+12 = 10+12 = 22 is the length.

Find the value of x.

Answers

Answer:

27

Step-by-step explanation:

By the theorem of intersecting secant and tangent out side of a circle, we have:

[tex] {60}^{2} = 48 \times (48 + x) \\ 3600 = 48 \times (48 + x) \\ \frac{3600}{48} = 48 + x \\ 75 = 48 + x \\ 75 - 48 = x \\ x = 27 \\ [/tex]

There are 6 flowers in vases in your kitchen. You want to put 3 of them on the dining room table for dinner tonight. Order isn’t important. How many ways can you display the flowers for dinner?

Answers

the answer to your question is 16

The required ways of the combination to display the flowers on the dinner is  20.

There are 6 flowers in vases in your kitchen. You want to put 3 of them on the dining room table for dinner tonight. Order isn’t important. How many ways can you display the flowers for dinner to determiined.

What are permutation and combination?

In arithmetic, combination and permutation are two different ways of grouping elements of a set into subsets. In a combination, the components of the subset can be recorded in any order. In a permutation, the components of the subset are listed in a distinctive order.

Examples of permutation and combination, Managing people, numbers, numerals, alphabets, letters , and colors are examples of permutations. Choosing of menu, foodstuffs, dresses, matters, and the group are examples of combinations.

Since, the total number of flower in vases is 6
3 of them to be selected for the dinner table tonight.
The combination is given as.
= C( 6 , 3)
= 6!/3!(6 - 3)!
= 6!/3!3!
= 20

Thus, the required ways of combination to display the flowers on dinner is  20.

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Which numbers can be classified as rational? Select all that apply.

5/6

[tex] \sqrt{11} [/tex]
6.565656...

0.23

0.32416

-5 3/8

Answers

Answer:

5/6, 0.23, -5 3/8

Step-by-step explanation:

The answer is 5/6 with .


11. Find the slope of the following coordinate points: (11,4)
and (5.-3)

Answers

Answer:

7/6

Step-by-step explanation:

We can find the slope by using the slope formula

m = (y2-y1)/(x2-x1)

    = ( -3 -4)/(5 -11)

  -7/-6

  =7/6

Answer:

7/6

Step-by-step explanation:

m = (y2 - y1)/(x2 - x1)

m = (-3 - 4)/(5 - 11)

m = -7/(-6)

m = 7/6

Solve for x: |3x + 12| = 18 (5 points) A. x = 2, x = −10 B. x = 2, x = −2 C. x = 10, x = −10 D. x = −2, x = 10

Answers

Correct answer is letter A. x=2.
Hope dis helps ya

Answer:

The solution set is therefore {-10, 2}

Step-by-step explanation:

The absolute value equation |3x + 12| = 18 has two distinct solutions.

|3x + 12| = 18 may be rewritten as

3x + 12 = 18 and

-(3x + 12) = 18

The first equation immediately above becomes 3x = 6 after we subtract 12 from both sides.  Therefore, x = 6/3, or x = 2.

Simplifying the second equation yields -3x - 12 = 18.  To solve this for x, we add 12 to both sides, obtaining -3x = 30.

Dividing both sides by -3 yields x = -10.

The solution set is therefore {-10, 2}

Laura has a step of 50cm She walks along by taking two steps forward and one step back. What is the least number of steps counting forward and backwards step, she takes to reach a step 20m away? ~Thanks - don't know how to solve :(

Answers

Answer:

The least number of steps she takes to reach 20 m is 118 steps

Step-by-step explanation:

For Laura, the length of a walking step = 50 cm = 0.5 m

The repeating number of steps she takes = Two steps forward one step backwards

The number of forward steps it would take for her to reach 20 m = (20 m)/(0.5 m) = 40 steps

Given that she always takes two steps forward and one step backwards, we have;

The number of steps forward every three steps = 2 step forward + (-1) step (backward)

The number of steps forward every three steps = 2 - 1 = 1 step forward

To reach 39 steps forward, she would need 39 × 3 =  117 steps

To get to the 40 steps she needs just a step forward, making the total number of steps to reach 40 steps = 117 + 1 = 118 steps

Therefore, the least number of steps she takes to reach 20 m = 118 steps.

I wrote the answer somewhere else and it wouldn’t let me copy and paste so here’s the screenshot

9x^3-16x^2=0. Solve and show all steps.

Answers

Answer Step one x=16/9 =1.778

Last step is x²=0

Hope I helped you

Answer:

the roots are {0, 0, 16/9}

Step-by-step explanation:

The trick to solving this is to factor out x^2 from both terms on the left:

x^2*9*x - 16x^2=0, or

x^2(9x - 16) = 0

Then, either x^2 = 0 or (9x - 16) = 0.

Thus, the roots are {0, 0, 16/9}

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

Jordan is solving this system of equations: y = 2x2 + 3 and y – x = 6. Which statements are true about Jordan’s system? Check all that apply. The quadratic equation is in standard form. Using substitution, the system of equations can be rewritten as 2x2 – x – 3 = 0. There are two real number solutions. There are no real number solutions. A solution of the system of equations is (–1, 1.5).

Answers

Three Answers: choice A, choice B, choice C.

Basically the first three items are true, with the rest false.

=========================================================

Explanation:

Let's go through each answer choice one by one to see if it is true or false.

---------------------

A. The quadratic equation is in standard form.  

This is true. Standard form for quadratics is y = ax^2+bx+c. In this case, a = 2, b = 0, c = 3. It might help to write the equation as y = 2x^2+0x+3.

---------------------

B. Using substitution, the system of equations can be rewritten as 2x2 – x – 3 = 0.  

This is true. Start with y-x = 6. Replace y with 2x^2+3 and we get

2x^2+3-x = 6

From here we subtract 6 from both sides

2x^2+3-x-6 = 6-6

2x^2-x-3 = 0

---------------------

C. There are two real number solutions.  

This is true. When you graph the two equations (I recommend GeoGebra but Desmos is another good tool), you'll see they intersect at two different locations. Each location is a solution in the form (x,y).

---------------------

D. There are no real number solutions.  

This is false. It contradicts choice C.

---------------------

E. A solution of the system of equations is (–1, 1.5).

This is false. The two solutions are (-1, 5) and (1.5, 7.5) which is where the two graphs intersect.

Another way to check is to plug x = -1 into either equation. You'll find the result to both is y = 5 instead of y = 1.5

Answer:

its ABC

Step-by-step explanation:

4. Multiple-Choice
1. Two complementary angles measure (12r - 18)° and (5x + 23)°. What
is the measure of the smaller angle?
(1) 5°
(2) 42°
(3) 48°
(4) 90°

I already know that the answer is 42 but I don’t know how to get that! Please help.

Answers

Sry i couldn't find the answer

Answer:

(2) 42°

Step-by-step explanation:

Copy of the given problem:

4. Multiple-Choice

1. Two complementary angles measure (12r - 18)° and (5x + 23)°. What

is the measure of the smaller angle?

(1) 5°

(2) 42°

(3) 48°

(4) 90°

Solution:

The sum of the measures of complementary angles is 90 deg.

12r - 18 + 5x + 23 = 90

We have 1 equation with two different variables, so we cannot solve the equation to find unique values of the variables.

I assume the above is an error, and both variables should be the same.

12r - 18 + 5r + 23 = 90

Combine like terms on the left side. Terms with r are combined. Terms with no variable are combined.

12r + 5r - 18 + 23 = 90

17r + 5 = 90

Subtract 5 from both sides.

17r = 85

Divide both sides by 5.

r = 5

The measures of the angles are:

12r - 18 = 12(5) - 18 = 60 - 18 = 42

5r + 23 = 5(5) + 23 = 25 + 23 = 48

The measures of the two angles are 42°  and 48°.

The smaller angle measures 42°

Answer: (2) 42°

I have 31 stamps total. I have 4 more 1-cent stamps than 8-cent stamps and twice as many one cent stamps as 12 cent stamps. If my stamps are worth $1.78 altogether how many one cent stamps do I have?

Answers

Answer: 14 1-cent stamps (in case anyone else still needs)

Step-by-step explanation:

1-cent stamps=x

8-cent stamps=x-4

12-cent stamp=.5x

x+x-4+.5x=31

2.5x-4=31

2.5x=35

x=14

You can use the $1.78 to double check:

(1*14)+(8*10)+(12*7)

14+80+84=178 cents (or $1.78)

HURRY !!! PLEASE HELP!!

Kellianne lined up the interior angles of the triangle along line p below.


Which statements are true for line p? Check all that apply.

It is a straight line with a measure of 360°.

It stays the same even if the angles in the triangle change.

The line will not be straight if one of the angles in the triangle is changed to an obtuse angle.

The line is only straight when one of the angles is a right angle.

It represents the sum of the measures of the interior angles of the triangle.

The line will not be straight if all the angles in the triangle are acute.

It combines the three interior angles of the triangle to form a straight line.

It is a straight line with a measure of 180°

Answers

Answer:

2. it stays the same even if the angles in the triangle change

a. the angles must add up to 180º. a straight line is equal to 180º, so as long as the angles add up to 180º, it will be a straight line.

5. it represents the sum of the measures of the interior angles of the triangle

a. Kellianne lined up the interior angles of the triangle. if added they equal 180º which is the measure of the straight line.

7. it combines the three interior angles of the triangle to form a straight line

a. same answers as previous

8. it is a straight line with a measure of 180º

a. refer to above

hope this helps :)

Answer:

B E H

Step-by-step explanation:

which construction can you use to prove that the Pythagorean theorem based on similarity of triangles​

Answers

A right angle triangle can be used to prove the Pythagorean theorem as (The length of the hypotenuse which is the long side is equal to the other sides of the triangle ). AC^2 =AB^2+BC^2

The construction that you can use to prove the Pythagorean Theorem based on similarity of triangles is 2nd construction. Please see the attached file.

What are similar triangles?

Two triangles are similar triangles of their corresponding angles are equal corresponding sides are in equal ratios.

The Pythagorean theorem, also known as Pythagoras's theorem, is a fundamental relation in Euclidean geometry among the three sides of a right triangle. It mentions that the sum of the squares of the other two sides is equal to the square of the hypotenuse (the side opposite the right angle).

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If you're good at trigonometry please help meeeeeee

Answers

Answer:

Hey there!

What we know:

The three triangles (two smaller ones and one larger one, are all right triangles)Measure of angle A is 42 degrees.Measure of angle C is 58 degrees.AC is 65 m.

What we would like to know:

ABBD

First, let's find AB.

Sine 58= AB/65

Solving for AB, we see that it is about 55.12 m.

Next, let's find BD.

Sine 42= BD/55.12

Solving for BD, we see that it is about 36.88 m.

Let me know if this helps :)

Question 5
Kate is finding the factors of a large number. Using
a calculator, she has just worked out that 66 is a
factor of this number.
Suddenly, she realises that 22 must be a factor of
the large number as well. Explain why Kate is
correct.

Answers

Explanation : If 66 is a factor of this unknown value, then 22 must be as well considering that 22 is a factor off 66. Let's say that this large value is 330. It is a multiple of 66, as 66 [tex]*[/tex] 5 = 330. At the same time 22 [tex]*[/tex] 15 = 330, so 330 is a multiple of 22 as well - or vice versa, 12 is a factor of 330.

We can also tell that 15, 22 fit into 330 through another approach. 22 [tex]*[/tex] 3 = 66, and 66 [tex]*[/tex] 5 = 330, so 5 [tex]*[/tex] 3 = 15 - the same value. This proves that 22 will always be a factor of a value that is the factor of 66.

Any multiple of the number will be a factor or result of the number It could factor in or go into an equal amount of times

Find the measure of of RA. A. 24 B. 2 C. 12 D. 3

Answers

Answer: 24

Step-by-step explanation:

R= 3

You can find this using simple algebra

The measure of RA is 24 units after using the concept of congruent triangle option (A) 24 is correct.

What is the congruent triangle?

Congruent triangles are those that are exactly the same size and shape. Congruent is represented by the symbol ≅ When the three sides and three angles of one triangle match the dimensions of the three sides and three angles of another triangle, they are said to be congruent.

We have a triangle shown in the picture.

It is required to find the measure of the RA

To find the measure of the RA we can apply the concept of congruent triangle:

In the triangle LRU and triangle LAU

LU = LU (common side)

LR = LA (equal sides)

Angle RLU = Angle ALU (equal)

The triangles are congruent.

RU = UA

18 - 2r = 4r

6r  = 18

r = 18/6 = 3

The measure of the RA = 18 - 2r + 4r = 18 + 2r

The measure of the RA = 18 + 2(3) = 18+6 = 24 units

Thus, the measure of RA is 24 units after using the concept of congruent triangle option (A) 24 is correct.

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need help with these questions!!! please explain bc I don't really get it!

Answers

Answer:

1. b.  2. a.  3. a.

Step-by-step explanation:

1. (f + g)x = f(x) + g(x)

= x^2 + 2x + 4

(f + g)(-1) =  (f + g)(x)  where x = 1 so it is

(-1)^2 + 2(-1) + 4

=  1 - 2 + 4

= 3.

2.  We find (f o g)(x) by replacing the x in f(x) by g(x):

= √(x + 1) and

(f o g)(3) =  √(3 + 1)

= √4

= 2.

3. (f/g) c  = f(x) / g(x)

= (x - 3)/(x + 1)

The domain is the values of x which give real values of (f/g).

x cannot be - 1 because the denominator x + 1 = -1+1 = 0 and dividing by zero is undefined. So x can be all real values of x except x = -1.

The domain is (-∞, -1) U (-1, ∞)

B, A, A.
Hope this helps!

What is the value of i 20+1?
1
- т т .-

Answers

The answer to 20+1 is 21

1) A furlong is 1/8 of a mile. What part of a mile is 6 furlongs?

Answers

Answer:

6/8 of a mile,

Step-by-step explanation:

if one furlong is 1/8 of a mile, the 6 shall be 1/8 added to itself 6 times, therefore it shall be 6/8.

Answer:

3/4 of a mile

Step-by-step explanation:

1 furlong = 1/8 mile

========     ====

6 forlongs = x

cross multiply

1*x = 6 * (1/8)

x = 6/8

reduce 6/8. Divide top and bottom by 2

x = 3/4

AB and CD intersect at point O, ∠ACO ≅ ∠DBO, and BO ≅ CO . Prove that △ACO ≅ △DBO. Plz Help Me... Thanks

Answers

Since ∠COA and ∠BOD are vertical angles, they are congruent.

You are also given that ∠ACO ≅ ∠DBO and BO ≅ CO.

By ASA (Angle-Side-Angle) congruency, you know that △ACO ≅ △DBO

The proof is shown below:

What is congruency of Triangles?

If the three angles and the three sides of a triangle are equal to the corresponding angles and the corresponding sides of another triangle, then both the triangles are said to be congruent.

In Δ PQR and ΔXYZ, as shown below, we can identify that PQ = XY, PR = XZ, and QR = YZ and ∠P = ∠X, ∠Q = ∠Y and ∠R = ∠Z. Then we can say that Δ PQR ≅ ΔXYZ.

What is ASA congruency criteria?

ASA criterion stands for Angle-Side-Angle criterion. Under the ASA criterion, two triangles are congruent if any two angles and the side included between them of one triangle are equal to the corresponding angles and the included side of the other triangle.

Given:

∠ACO ≅ ∠DBO, and BO ≅ CO

as, ∠COA =∠BOD (vertically opposite angles)

∠ACO ≅ ∠DBO ( given)

BO ≅ CO ( given)

So, By ASA (Angle-Side-Angle) congruency,  △ACO ≅ △DBO

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for n prove by
[tex]3 + 3 {}^{2} + 3 {}^{3} ... + 3 {}^{n} = \frac{3(3 {}^{n} - 1) }{2} [/tex]
thank you​

Answers

Answer:

[tex]3 + 3^2 + 3^3 ...+ 3^n = \frac{3(3^n - 1)}{2}[/tex]

Step-by-step explanation:

Given

[tex]3 + 3^2 + 3^3 ...+ 3^n[/tex]

Required

Show that the sum of the series is [tex]\frac{3(3^{n}-1)}{2}[/tex]

The above shows the sum of a geometric series and this will be calculated as shown below;

[tex]S_n = \frac{a(r^n - 1)}{r - 1}[/tex]

Where

a = First term;

[tex]a = 3[/tex]

r = common ratio

[tex]r = \frac{3^2}{3} = \frac{3^3}{3^2}[/tex]

[tex]r = 3[/tex]

Substitute 3 for r and 3 for a in the formula above;

[tex]S_n = \frac{a(r^n - 1)}{r - 1}[/tex] becomes

[tex]S_n = \frac{3(3^n - 1)}{3 - 1}[/tex]

[tex]S_n = \frac{3(3^n - 1)}{2}[/tex]

Hence;

[tex]3 + 3^2 + 3^3 ...+ 3^n = \frac{3(3^n - 1)}{2}[/tex]

12 5 that is the answer for your question

Plzz help me I’ll mark brainliest

Answers

Answer:

The answer is option B

Step-by-step explanation:

To find the side adjacent to the 50° angle we use tan

[tex] \tan( \alpha ) = \frac{opposite}{adjacent} [/tex]

From the question

The opposite is 6m

The adjacent is ?

So we have

[tex] \tan(50) = \frac{6}{?} [/tex]

[tex]? \tan(50) = 6[/tex]

[tex]? = 6 \times \frac{1}{ \tan(50) } [/tex]

But

[tex] \frac{1}{ \tan(x) } = \cot(x) [/tex]

So we have

[tex] \frac{1}{ \tan(50) } = \cot(50) [/tex]

Substitute it into the expression

That's

We have the final answer as

[tex]? = 6 \cot(50) [/tex]

Hope this helps you

Answer: 6*cot(50),  choice B

=====================================================

Explanation:

We're given an opposite side and an adjacent side. The tangent rule ties these two sides together. "tangent" is nowhere to be found in any of the answer choices, but cotangent is. Recall that

cot = 1/tan

which means

tan = opposite/adjacent

cot = adjacent/opposite

one is the reciprocal of the other

-----------

This means

cot(angle) = adjacent/opposite

cot(50) = x/6

6*cot(50) = x

x = 6*cot(50)

Other Questions
EL PRESENTE PROGRESIVO: ( - ING) The spanish presente progresivo est formado con + . El participio presente is formed by adding to the stem of ar verbs and to the stem of er and -ir verbs. Oraciones Fill in the blanks with the present progressive form of the verbs and the correct verb conjugations. Do NOT use upper case letters in responses. 1. Gerardo, (entrenar) mucho hoy 2. Los estudiantes (sufrir) muchas presiones este semestre. 3. Yo (leer) mi libro favorito 4. t (traer) todos los libros de Matilde Casazola a clase? 5. Santiago y yo (abrir) una cafetera nueva hoy mismo. 6. Mis padres (ver) una pelcula nueva. 7. Yo (romper) mi vestido nuevo. 8. los estudiantes (dormir) pocas horas este semestre. You store square notepaper in a cube shape box with an inside edge length of 3 inches. What is the volume of the box Can podocyte cells in the Bowmann capsule attach to any other basement membrane other than the glomerular basement membrane? That is, it can itself have a separate layer of base membrane? Write down the complete AJAX code to avoid page caching. Eliminate the parameter for the following set of parametric equations: x= t + 6 y= 3t 1 Anyone know the answer or how to solve this which explorer extended Frances influence in the Americans through his establishment of Quebec When factoring 6x27x20 by grouping, how should the middle term be rewritten? It should be written as 8x15x. It should be written as 2x5x. It should be written as x8x. It should be written as x7x. I think its B but im not sure Is the given equation a quadratic equation? Explain. x(x6)=5 The equation is not a quadratic equation because there is no x2-term. The equation is a quadratic equation because there is an x2-term. The equation is not a quadratic equation because the expression is not equal to zero. The equation is not a quadratic equation because there is a term with degree higher than 2. Which of the following is an example of the difference of two squares? x29 x39 (x+9)2 (x9)2 How do u solve A/B + C/D = E Create a scatterplot for the following population data, using t = 0 to stand for 1950. Thenestimate the population of Namibia in the years 1940, 1997, and 2005. Note: Populationvalues are in thousands. (Hint: Begin by determining which row is the x-value and which rowis the y-value) What point is hurston trying to make in her first paragraph? Is she the only Negro in the United States whose grandfather on the mothers side was not an Indian chief? 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. Company X, which is a chemical manufacturer, uses crude oil and buys it in the spot market on a monthly schedule. A crude oil swap is quoted by the dealer at $25. Which of the following statements is correct?a. The company should sell the swap to hedgeb. In a month when the spot price of oil is above $25, the company will pay the difference to the counter partyc. In a month when the spot price is below $25, the company will pay the difference to the counter party Germany has access to markets for its goods because of its _____. natural resources control of formerly Communist areas membership in the European Union early industrial development Apply the distributive property to factor out the greatest common factor. 40f+30 = As assistant to the CFO of Boulder Inc., you must estimate the Year 1 cash flow for a project with the following data: Sales revenues $13,000Depreciation $4,000Other operating costs $6,000Tax rate 35.0%What is the Year 1 cash flow?a. $6,962b. $5,950c. $7,438d. $5,177e. $7,378 Write as an equation: Sara spent $2 more than Lauren, and together they spent $19. BRAINLEST Find the sum of the first 6 terms of the infinite series: 1 - 2 + 4 - 8+... Average of 44.64, 43.45, 42.79, 42.28 Each of two parents has the genotype blue/brown, which consists of the pair of alleles that determine eye color, and each parent contributes one of those alleles to a child. Assume that if the child has at least one blue allele, that color will dominate and the child's eye color will be blue. a. List the different possible outcomes. Assume that these outcomes are equally likely. b. What is the probability that a child of these parents will have the brown/brown genotype? c. What is the probability that the child will have blue eye color?