Which rate is the fastest?
A. 589 miles in 11 hours
B. 360 miles in 7 hours
C. 111 miles in 2 hours
D. 283 miles in 5 hours

Answer:

The answer I would choose is C

Hope this helped :)

Answer:

B

Step-by-step explanation:

Multiplying f(x) by g(x)

= (2x² + x - 3)(x + 2)

Each term in the first factor is multiplied by each term in the second factor, that is

x(2x² + x - 3) + 2(2x² + x - 3) ← distribute both parenthesis

= 2x³ + x² - 3x + 4x² + 2x - 6 ← collect like terms

= 2x³ + 5x² - x - 6 → B

Answer:

The number of passenger cars is [tex]675[/tex]

The number of trucks is [tex]525[/tex]

Step-by-step explanation:

Let

x-----> the number of passenger cars

y-----> the number of trucks

we know that

[tex]x=y+150[/tex] ----> equation A

[tex]\frac{x}{y}=\frac{9}{7}[/tex]

[tex]x=\frac{9}{7}y[/tex] -----> equation B

equate equation A and equation B

[tex]\frac{9}{7}y=y+150[/tex]

[tex]\frac{9}{7}y-y=150[/tex]

[tex]\frac{2}{7}y=150[/tex]

[tex]y=525[/tex]

Find the value of x

[tex]x=525+150=675[/tex]

Answer:

Second Option and Fourth Option

Step-by-step explanation:

[tex]cot ^ 2(\theta) cos(2\theta)[/tex]

We know that:

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

Then:

[tex]cot^2(\theta)cos(2\theta) = cos(2\theta)\frac{1}{tan^2(\theta)}\\\\cot^2(\theta)cos(2\theta) =\frac{cos(2\theta)}{tan^2(\theta)}[/tex]

Also:

For the sum of angles identity:

[tex]cos(2\theta) = cos(\theta + \theta)\\\\cos(\theta + \theta) = cos(\theta)cos(\theta) - sin(\theta)sin(\theta)\\\\cos(2\theta) = cos^2(\theta) - sin^2(\theta)\\\\cos(2\theta) = (1-sin^2(\theta)) - sin^2(\theta)\\\\cos(2\theta) = 1-2sin^2(\theta)[/tex]

Then:

[tex]cot^2(\theta)cos(2\theta) = \frac{cos^2(\theta)}{sin^2(\theta)}[1-2sin^2(\theta)]\\\\cot^2(\theta)cos(2\theta) = \frac{cos^2(\theta)[1-2sin^2(\theta)]}{sin^2(\theta)}\\\\cot^2(\theta)cos(2\theta) =cot^2(\theta) - 2\frac{cos^2(\theta)[sin^2(\theta)]}{sin^2(\theta)}\\\\cot^2(\theta)cos(2\theta) =cot^2(\theta) - 2cos^2(\theta)[/tex]

Final answer:

To make a 40-ounce mixture that is 60% fruit juice, equal amounts (20 ounces each) of 20% fruit juice and 100% fruit juice should be used.

Explanation:

Calculating the Fruit Juice Mixture

To solve this problem, we'll use a system of equations. Let's assume that the amount of 20% fruit juice used is x ounces, and the amount of 100% fruit juice used is y ounces. We are trying to make 40 ounces of a mixture that is 60% fruit juice.

First, the total amount of the mixture should be 40 ounces:

x + y = 40

Second, the total percentage of fruit juice in the mixture should be 60%:

0.20x + 1.00y = 0.60 * 40

Now, let's solve these equations step-by-step:

From the first equation, we can say y = 40 - x.

Substitute y in the second equation: 0.20x + 1.00(40 - x) = 24.

Simplify: 0.20x + 40 - x = 24.

Combine like terms: 40 - 0.80x = 24.

Subtract 40 from both sides: -0.80x = -16.

Divide both sides by -0.80 to find x: x = 20.

Substitute x back into y = 40 - x to find y: y = 20.

Therefore, to achieve a 60% fruit juice mixture, 20 ounces of the 20% fruit juice and 20 ounces of the 100% fruit juice should be combined.

Answer: x = 63

Step-by-step explanation:

since they are proportional to each other,

36/4 = 9

90/10 = 9

126/14 = 9

7*9 = 63

Answer:

x = 63

Step-by-step explanation:

Since the figures are similar then the ratios of corresponding sides are equal, that is

[tex]\frac{90}{10}[/tex] = [tex]\frac{x}{7}[/tex] ( cross- multiply )

10x = 630 ( divide both sides by 10 )

x = 63

412 pounds for him + 1 pound for his friend = 413 total pounds x $0.80 per pound = $330.40

Sorry, I don’t see this as an answer choice.

Answer:

I am assuming you meant to say '4' instead of '412'. In which case the answer is A.

Step-by-step explanation:

4 + 1 x .80 is 4.00 even. Good luck in your endeavors!

The length of each curtain is [tex]2\frac{1}{6} [/tex] yards of fabric.

Given that,

14 curtains required  [tex]30\frac{1}{3} [/tex]  yards of fabric.

1 curtain required is,

                             [tex]=30\frac{1}{3} \div14\\ \\ =\frac{91}{3}*\frac{1}{14}\\ \\ =\frac{91}{42}=\frac{13}{6}=2\frac{1}{6} [/tex]

Hence, The length of each curtain is [tex]2\frac{1}{6} [/tex] yards of fabric.

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Answer:

2w-4

Step-by-step explanation:

That is your answer. The word twice means 2 and decreased means minus. So your answer is 2w-4.

You would have to divide because 30/5= 6 and 6/2= 3

Answer:

The answer is 6.

Step-by-step explanation:

Start with the parentheses. Think of what operations can work for this. Since the answer (3) is small, division makes sense.

(30 / 5) = 6

Then, divide 6 by 2. The answer is 3.

I hope this helped! :-)

Answer:

[tex]1,404\ lb[/tex]

Step-by-step explanation:

we know that

using proportion

[tex]\frac{126}{21}\frac{earth}{moon} =\frac{x}{234}\frac{earth}{moon}\\ \\x=126*234/21\\ \\x=1,404\ lb[/tex]

Answer: 1,404 lb

Step-by-step explanation:

1. You have the following information given in the problem:

- The weight of the astronaut on eart is 126 lb.

- The weight of the astronaut on the moon is 21 lb.

2. Therefore, you can calculate the weight of a person on earth, knowing that that person weighs 234 lb of the moon, as following:

[tex]weight_{earth}=\frac{(234lb)(126lb)}{21lb}\\\\weight_{earth}=1,404lb[/tex]

Then, the person would weighs 1,404 lb on earth.

Answer:

Step-by-step explanation:

Expression: [tex]x^3-xy+y^2-9[/tex]

7. How could y^2 be rewritten?

y^2 can be rewritten as y*y

8. What does the term xy mean?

The term xy mean that the value of x is multiplied with the value of y or we can sy that we are taking product of x and y.

9. Can you combine all the Xs and Ys in this expression?

No, because the term xy has one x term and one y term and due to this we cannot combine all the Xs and Ys in this expression. We can only combine like terms that have same variables.

Answer:

True

Step-by-step explanation:

Congruent means that two (or more) side lengths for line segments have "the same measurements.

~

your answer is 17 1/4 or 17.25 I think

Answer:

The area of the four curved surfaces is the area of one circle with a radius of 4 cm

Area = PI * radius^2

Area = PI * 4 ^ 2

Area = PI * 16 = 50.26548245744 sq cm

Area of entire square = 8 * 8 = 64 sq cm

Area of yellow region = 64 - 50.265 sq cm =

= 13.735 = 13.7 sq cm (rounded to nearest tenth)

Step-by-step explanation:

Answer:

Area of the yellow part = 13.76

Step-by-step explanation:

Remark

Basically you have 4 quarter circles (which will make up the area of 1 circle) which you then have to subtract from the area of the square. Use pi = 3.14 for the circle.

Area of the square

A = s^2

A = 8^2

A = 64

Area of the 4 quarter circles.

Area = 4* (1/4) * Pi * r^2

r = 4   (1/2 of the square's side)

Area = 4*(1/4) * pi * 4^2

Area = pi * 4^2

Area = 16 * pi

Area of the yellow part

Area of the yellow part = Area of the square - Area of the 4 quarter circles.

Area of the yellow part = 64 - 16*pi    This is a possible answer.

Area of the yellow part = 64 - 50.24

Area of the yellow part = 13.76    This is the answer I'd try first.

Answer:

[tex]\large\boxed{215^o}[/tex]

Step-by-step explanation:

[tex]\text{Coterminal angle with}\ \alpha:\\\\\alpha+360^o\ and\ \alpha-360^o.\\\\\text{Firs\ step}\\\\-865^o:360^o=2\ and\ rest\ -145^o\\\\-865^o=-145^o\\\\\-145^o+360^o=215^o[/tex]

Answer:

its 280

Step-by-step explanation:

:D

Answer:

909 mm

Step-by-step explanation:

There are 10 mm in a cm

90 x 10 = 900

900 + 9 = 909 mm

(Unless you're asking if this is true/false; if so, it is true)

Answer:

g(-1) = -0.571

g(1) = -7

Step-by-step explanation:

To easily solve this problem, we can use a graphing tool to plot both f(x) and g(x) and

f(x) = 2*(3.5)^x

g(x) = -2*(3.5)^x

g(-1) = -2*(3.5)^(-1) = -0.571

g(1) = -2*(3.5)^(1) = -7

Answer:

I will try my best to answer

Answer: who trynna hlp me take a bath nooo kap

Step-by-step explanation:

Answer:

The first answer: 390m The second answer: x = 7; m<1 = 17; m<2 = 73

Step-by-step explanation:

First problem:

It's asking for the distance he walks by walking around a rectangular box which is the perimeter.

Two of the sides will have length 115m and two will have length 80m. So this perimeter is 115 + 115 + 80 + 80 = 390m.

Second problem:

Complementary angles add to 90 degrees. So m<1 and m<2 added together will equal 90

-4x +45 + 7x + 24 = 90

3x + 69 = 90

3x = 21

x= 7.

Plug back x into both m<1 and m<2 to find the measure of the angles.

m<1 = -4(7) + 45 = 45-28 = 17

m<2 = 7(7) + 24 = 49 + 24 = 73

Answer:

The Bottom Right Corner

Step-by-step explanation:

The number line represents 1 whole mile and is split in to 6 sections. So if Ms. P drives 2/6s she would drive 2 sections in that line

The total for liking and not liking painting is 51.

28 like painting, so to find the missing number subtract 28 from 51.

The missing number is 23

The missing number in the table is 23, option B is correct.

Statistics is the discipline that concerns the collection, organization, analysis, interpretation, and presentation of data.

The given table is below

Like Dance                    28       ?            51

Do Not Like Dance       17         18         35

Total                               45        41         86

We have to find the number of people who like dance when 18 donot like dance and total is 41.

We calculate this by removing 18 from 41 which gives the missing number x

x=41-18

=23

Hence,  the missing number in the table is 23, option B is correct.

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Answer:

Associative property of addition

ur welcome "my dude"  :o)

Answer:

The associative property of addition.

Step-by-step explanation:

The associative property basically says that it doesn't matter if you add y to 3 + m or you add m + y to 3; you'll come out with the same answer in both cases. Put another way, it tells us we can group terms however we want, and it won't effect the outcome. For another example, (3 + 5) + 4 = 3 + (5 + 4) -- it doesn't matter whether we start with 3 + 5 or 5 + 4. The associative property is why we're allowed to write addition without parenthesis.

d the answer can not be found using the information given

Answer:

[tex]A=\$150(1.05)^{t}[/tex]  

Step-by-step explanation:

we know that    

The compound interest formula for this problem is equal to  

[tex]A=P(1+r)^{t}[/tex]  

where  

A is the Final Investment Value  

P is the Principal amount of money to be invested  

r is the rate of interest  in decimal

t is Number of Time Periods  in years

in this problem we have  

[tex]P=\$150\\ r=5\%=0.05[/tex]  

substitute in the formula above  

[tex]A=\$150(1+0.05)^{t}[/tex]  

[tex]A=\$150(1.05)^{t}[/tex]  

Answer:

The area of the resulting cross section is [tex]78.5\ m^{2}[/tex]

Step-by-step explanation:

we know that

The resulting cross section is a circle congruent with the circle of the base of cylinder

therefore

The area is equal to

[tex]A=\pi r^{2}[/tex]

we have

[tex]\pi=3.14[/tex]

[tex]r=10/2=5\ m[/tex] -----> the radius is half the diameter

substitute the values

[tex]A=(3.14)(5)^{2}=78.5\ m^{2}[/tex]

Answer:

17) Length of arc QPT = 20.9 inches

18) Length of arc QR = 12.6 feet

19) Length of arc PQR = 39.3 meters

20) x = 161°

21) x = 123°

22) x = 24 units

23) EB = 4 units

24) EB = 14 units

Step-by-step explanation:

∵ The length of any arc = Ф/360 × 2πr

   where Ф is the central angle subtended by this arc

17) ∵ m∠RZQ = 60° ⇒ central angle

∵ m∠QZP = 90° ⇒ centeral angle

∵ m∠RZT = 180° ⇒ Z ∈ TR

∴ m∠TZP = 180 - 90 - 60 = 30°

∴ m∠QZT = 90 + 30 = 120° ⇒ central angle

∵ ∠QZT subtended by arc QPT

∵ m∠QZT = 120 , r = 10 inches

∴ Length arc QPT = 120/360 × 2π × 10 = 20.9 inches

18) ∵ m∠QZR = 60° ⇒ central angle subtended by arc QR

∵ r = 12 feet

∴ The length of arc QR = 60/360 × 2π × 12 = 12.6 feet

19) ∵ m∠PZR = 60° + 90° = 150°⇒ central angle subtended

     by arc PQR

∵ r = 15 meters

∴ The length of arc PQR = 150/360 × 2π × 15 = 39.3 meters

20) ∵ SU = ST

∴ Measure of arc SU = measure of arc ST

∵ The measure of the circle is 360°

∵ Measure of arc UT = 38°

∴ x = (360 - 38) ÷ 2 = 161°

21) ∵ AB = AC

∴ Measure of arc AB = measure of arc AC

∵ The measure of the circle is 360°

∵ Measure of arc BC = 114°

∴ x = (360 - 114) ÷ 2 = 123°

22) ∵ The two arcs are equal

∴ Their chords are equal in length

∴ 2x - 12 = 36 ⇒ 2x = 36 + 12 ⇒ 2x = 48

∴ x = 24

23) In circle A

∵ AB is a radius and CD is a chord

∵ AB ⊥ CD

∴ AB bisects CD at point E

∵ AB = 20 , CD = 24

∴ CE = 24/2 = 12

In ΔAEC

∵ m∠ AEC = 90

∵ AC = 20 ⇒ radius

∵ AE = √[(AC)² - (CE)²] ⇒ Pythagoras theorem

∴ AE = √(20² - 12²) = 16

∵ AB = 20 ⇒ radius

∴ EB = 20 - 16 = 4

24) In circle A

∵ AB is a radius and CD is a chord

∵ AB ⊥ CD

∴ AB bisects CD at point E

∵ AB = 35 , CD = 56

∴ CE = 56/2 = 28

In ΔAEC

∵ m∠ AEC = 90

∵ AC = 35 ⇒ radius

∵ AE = √[(AC)² - (CE)²] ⇒ Pythagoras theorem

∴ AE = √(35² - 28²) = 21

∵ AB = 35 ⇒ radius

∴ EB = 35 - 21 = 14

Answer:

15+s=

Step-by-step explanation:

2,3,5,11,13,23,25,31,35,41,43,53,55,61,65,71,73,83,85,91,95

Answer:

Step-by-step explanation:

Prime numbers are neat.

Here they are:

2,3,5,11,13,23,25,31,35,41,43,53,55,61,65,71,73,83,85,91,95

Best,

jrodt

Answer:

25.4 units

54.4 units

Step-by-step explanation:

Given that,

length of each side of rhombus = 30 units

interior angle = 25 x 2

                      = 50°

other interior angle = (360-(50x2)) / 2 = 130°

Formula to use

c² = a² + b² - ab cosC

First diagonal

√(30² + 30² - 2*30*30*cos 50)

= 25.35 u

Second diagonal

√(30² +30² - (2*30*30*(cos 130)))

= √(1800-1800cos130)

= 54.37 units

Answer:

(x - 1)² + (y + 1/2)² = 65/4

Step-by-step explanation:

Given:  the endpoints of the diameter are (3, 3) and (-1, -4).  a( To determine the center of this circle, find the midpoint of the line segment connecting these two points:

      3 - 1

x = -----------

          2

and

         -1

y = ----------

          2

The center is at x = 1 and y = -1/2:  (1, -1/2).

b) The radius is half the diameter.  The diameter is the distance between the two endpoints given, that is, the distance between (-1, -4) and (3, 3):

diameter = √(4² + 7²) = √(16 + 49) = √65; therefore,

radius = (1/2)√65.

square of the radius = r² = 65/4

The general equation of a circle with center at (h, k) and radius r is

(x - h)² + (y - k)² = r².  In this case, the equation is:

(x - 1)² + (y + 1/2)² = 65/4