What is the sum? startfraction 3 y over y squared 7 y 10 endfraction startfraction 2 over y 2 endfraction startfraction 5 over y minus 5 endfraction startfraction 5 (y 2) over (y minus 2) (y 5) endfraction startfraction 5 over y 5 endfraction startfraction 5 (y minus 2) over (y minus 5) (y 2) endfraction

Answer: 1 in = 3.6 ft

Step-by-step explanation:

The small car is a model of the large car. The small car is 5 inches long while the large car is 18 feet long.

We currently have a ratio of: [tex]\frac{18 ft}{5 in}[/tex]

We need to get either the 18 or the 5 to one single unit.

18 ft : 5 in

Divide both sides by 5 to isolate 1 inch.

[tex]\frac{18}{5}[/tex] ft : [tex]\frac{5}{5}[/tex] in

Simplify.

3.6 ft : 1 in

We found that the ratio of the scale model is 1 inch of the model is equal to 3.6 ft of the real car.

Therefore, 3.6 ft = 1 in, which is equivalent to 1 in = 3.6ft

Suppose that r (cos(θ) + i sin(θ)) is a third root of 27 (cos(π/5) + i sin(π/5)), i.e.

[r (cos(θ) + i sin(θ))]³ = 27 (cos(π/5) + i sin(π/5))

Expand the left side using de Moivre's theorem:

r³ (cos(3θ) + i sin(3θ)) = 27 (cos(π/5) + i sin(π/5))

Matching up real and imaginary parts, we have

r³ cos(3θ) = 27 cos(π/5)

r³ sin(3θ) = 27 sin(π/5)

Right away we see that r³ = 27 ⇒ r = 3, which eliminates A.

We also have

(r³ sin(3θ)) / (r³ cos(3θ)) = (27 sin(π/5)) / (27 cos(π/5))

tan(3θ) = tan(π/5)

3θ = tan⁻¹(tan(π/5))

3θ = π/5 + nπ

(where n is an integer)

θ = π/15 + nπ/3

Now,

• n = 0   ⇒   θ = π/15   ⇒   D is a third root

• n = 1   ⇒   θ = π/15 + π/3 = 2π/5

• n = 2   ⇒   θ = π/15 + 2π/3 = 11π/15   ⇒   C is a third root

Answer:5x^4

Step-by-step explanation: Simplify the radical by breaking the radicand up into a product of known factors, assuming real numbers

Answer:

100

Step-by-step explanation:

Given Average After writing a last test=90

let the last test score be x

Now given

[tex] \frac{80 + 85 + 100 + 85 + x}{5} = 90[/tex]

[tex]80 + 85 + 100 + 85 + x = 450[/tex]

[tex]x + 350 = 450[/tex]

[tex]x = 100[/tex]

I hope it helped you

Answer:

B

Step-by-step explanation:

It 4 3/8 is 4.375 which would round down

Answer:

(3, -1)

Step-by-step explanation:

Given

Subbing the value of y

Answer:

Solution: (3, -1)

Given equations:

Step-1: Reorganize the equations with "y" on the L.H.S

[tex]\rightarrow \left \{ {{4x + 5y = 7} \atop {y = 3x - 10}} \right.[/tex]

[tex]\rightarrow \left \{ {{5y = 7 - 4x} \atop {y = 3x - 10}} \right.[/tex]

[tex]\rightarrow \left \{ {{5y = 7 - 4x} \atop y =-10 + 3x}} \right.[/tex]

Step-2: Make the x-variables the same on both equations

[tex]\rightarrow \left \{ {{3(5y = 7 - 4x)} \atop 4(y =-10 + 3x)}} \right.[/tex]

[tex]\rightarrow \left \{ {{15y = 21 - 12x} \atop 4y =-40 + 12x}} \right.[/tex]

Step-3: Add the equations

[tex]\rightarrow (15y + 4y) = (21 - 40) + (-12x + 12x)[/tex]

[tex]\rightarrow 19y = -19[/tex]

Step-4: Divide both sides by 19

[tex]\rightarrow \dfrac{19y}{19} = \dfrac{-19}{19}[/tex]

[tex]\rightarrow y = -1[/tex]

Step-5: Substitute the value of y into any equation

[tex]\rightarrow y = 3x - 10[/tex]

[tex]\rightarrow -1 = 3x - 10[/tex]

Step-6: Simplify the equation

[tex]\rightarrow -1 + 10 = 3x[/tex]

[tex]\rightarrow9= 3x[/tex]

Step-7: Divide 3 both sides

[tex]\rightarrow \dfrac{9}{3} = \dfrac{3x}{3}[/tex]

[tex]\rightarrow x = 3[/tex]

(Optional) Step-8: Convert the solution(s) into (x, y) form

[tex]\rightarrow (x, y) \rightarrow (x = 3; y=-1) \rightarrow (3,-1)[/tex]

Thus, the value of x and y is 3 and -1. The solution is (3, -1).

Answer:

My suggestions could be to;

→ Study

→ Ask for help to the teacher

→ Ask for help to your parents

→ Ask for help to your older siblings

→ Ask your parents to get a tutor for you

→ Pray to our lord and savior Jesus Christ to help you succeed algebra 1

Step-by-step explanation:

Hope this helped! :^)

⭐Brainliest will be appreciated!⭐

✉️Message me if you have any more questions!✉️

- ✨7272033Alt✨

If the condition f(-x) = -f(x) is satisfy then the function is an odd function. Then the odd function is f(x) = 6x³ + 2x.

Odd Function - A true function f(x) is said to be an odd function if the output value of f(-x) is the same as the negative of f(x) for all values of x in the domain of f.

The equation should be stored in an odd function:

f(-x) = -f(x)

Then the functions are given below.

f(x) = 3x² + x

f(x) = 4x³ + 7

f(x) = 5x² + 9

f(x) = 6x³ + 2x

Then replace x with the negative x, then we have

f(x) = 3(-x)² + (-x) = 3x² - x =

f(x) = 4(-x)³ + 7 = -4x³ + 7

f(x) = 5(-x)² + 9 = 5x² + 9

f(x) = 6(-x)³ + 2(-x) = -6x³ - 2x = - (6x³ + 2x)

More about the odd function link is given below.

https://brainly.com/question/14264818

Answer: D

Step-by-step explanation:

Answer:

the third one hope it helps:)

Using the binomial distribution, it is found that she should expect to roll the number cube 46 times.

It is the probability of exactly x successes on n repeated trials, with p probability of a success on each trial.

The expected number of trials until q successes is:

[tex]E_s(X) = \frac{q}{p}[/tex]

In this problem:

Then:

[tex]E_s(X) = \frac{23}{0.5} = 46[/tex]

She should expect to roll the number cube 46 times.

More can be learned about the binomial distribution at https://brainly.com/question/24863377

Answer:

answer is 46.

Step-by-step explanation:

4.5% annually

Simple interest is the amount of interest added to a singular sum of money at a fixed rate.

Formula

The formula for simple interest is A = P(1+rt). In this formula, A is the total amount of money in the account, P is the original amount deposited, r is the rate of interest as a decimal, and t is the time in years.

Calculations

To find the rate, plug the information we know into the formula above

Divide both sides by 100

Subtract 1 from both sides

Divide both sides by 5

This gives us the rate as a decimal. So, to find the rate as a percent. Do this by moving the decimal 2 places to the right (or just multiply by 100, they do the same thing). This means that the rate of simple interest is 4.5%.

Answer:

Step-by-step explanation:

he cafeteria sold 6 more turkey sandwiches than ham sandwiches. They sold 52 sandwiches in all

Answer:

1. Sine ratio of angle ∠C = 12/13

2. cos ratio for ∠C = 6/10

Step-by-step explanation:

1. sin = perpendicular /hypotuse

=> 12/13

2. cos = base / hypotuse

=> 6/10

When we work with complex numbers:

 ⇒ we add all the like terms

     ⇒ terms with 'i' add with terms that have an 'i' ⇒ [tex]i -5i=-4i[/tex]

     ⇒ constants add with constants ⇒ [tex]-4+10=6[/tex]

Let's find the sum now:

  [tex](-4+i)+(10-5i)=-4+10 +(i-5i)=6-4i[/tex]

Answer: The sum of (-4+ i) and (10 - 5i) is 6 - 4i

Hope that helps!

Answer:

C on edge

Step-by-step explanation:

Answer:

266.66mL/s

Step-by-step explanation:

You have:

[tex] \frac{16}{1} \frac{liters}{minute} [/tex]

You can use the conversion factors to convert liters to milliliters, and minutes to seconds:

1L = 1000mL

1 min = 60 sec

Therefore:

[tex] \frac{16}{1} \frac{liters}{minute} \times \frac{1000}{1} \frac{mililiters}{liter} \times \frac{1}{60} \frac{minute}{seconds} [/tex]

Liters cancel and minutes cancel. The units of mL per second is all that remains:

[tex] \frac{16 \times 1000}{60} \frac{mililiters}{second} = 266.66 \frac{ml}{s} [/tex]

Answer:

35°

64.267 ft

78.455 ft

Step-by-step explanation:

The given situation can be modeled as a right triangle (see attached).

The interior angles of a triangle sum to 180°

⇒ angle at Jamie's position = 180° - 90° - 55° = 35°

To find the other measures (distances), we can use trig ratios.

[tex]\sf \sin(\theta)=\dfrac{O}{H}\quad\cos(\theta)=\dfrac{A}{H}\quad\tan(\theta)=\dfrac{O}{A}[/tex]

where:

To find the distance from Rachael to Jamie:

[tex]\implies \sf \tan(55^{\circ})=\dfrac{x}{45}[/tex]

[tex]\implies \sf x=45\tan(55^{\circ})[/tex]

[tex]\implies \sf x=64.267\:ft\:(nearest\:thousandth)[/tex]

To find the distance from Lance to Jamie:

[tex]\sf \implies \cos(55^{\circ})=\dfrac{45}{y}[/tex]

[tex]\sf \implies y=\dfrac{45}{\cos(55^{\circ})}[/tex]

[tex]\sf \implies y=78.455\:ft\:(nearest\:thousandth)[/tex]

Answer:

9)  [tex]\\\frac{14}{16}[/tex]

10) [tex]28\frac{5}{8}[/tex]

Step-by-step explanation:

9)

[tex]1\frac{3}{4}[/tex] you change by multiplying 1 * 3 (the numerator) and adding 4 (the denaminator), putting the result (7) to the numerator and keeping the denaminator (4) = [tex]\frac{7}{4}[/tex]

[tex]\frac{7}{4} * \frac{2}{4} = \frac{14}{16}[/tex]

10) 7*4 = 28

so [tex]28\frac{5}{8}[/tex]

An angle measuring 480° is coterminal with a 120° angle.

This classification represents angles that do not present the same value, but they present vertices and sides are identical. Also, if the angles are coterminal, then their sines, cosines and tangents are equal.

A coterminal angle can be found from the formula β = α ± 360 * w, where w is a positive integer.

Thus,

        β = 120 ± 360 * 1

        β = 120 ± 360

       Then, β can be 120+360=480° or 120-360= -240°

        β = 120 ± 360 * 2

        β = 120 ± 720

       Then, β can be 120+720=840° or 120-720= -600°

       Therefore, the answer to this question is option D.

Read more about the coterminal angles here:

https://brainly.com/question/19573972

Answer:

not answered this question

scalene triangle

hope it helps...

Answer:

down below - hope this helped :)

Step-by-step explanation:

you can make a scalene traingle with these mesurements

since none of the sides are equal :)

The product of  3a + 5 and 2a2 + 4a – 2 is [tex]\rm 6a^3+22a^2+14a-10\\[/tex], the correct option is A.

When two algebraic expressions are multiplied, the result is called the product, and the two expressions making up the product are called factors and multiplicands.

The multiplication of two algebraic equations can be expressed as a × b.

The product of 3a + 5 and 2a2 + 4a – 2 is determined in the following steps given below.

[tex]\rm =(3a + 5) \times( 2a^2 + 4a -2)\\\\= 3a ( 2a^2 + 4a -2) +5( 2a^2 + 4a -2)\\\\ =6a^3+12a^2-6a+10a^2+20a-10\\\\=6a^3+22a^2+14a-10\\[/tex]

Hence, the product of  3a + 5 and 2a2 + 4a – 2 is [tex]\rm 6a^3+22a^2+14a-10\\[/tex].

To know more about multiplication click the link given below.

https://brainly.com/question/14059007

Answer:

A. 6a^3 + 22a^2 + 14a - 10

Step-by-step explanation:

Ed22

Answer:

A. 12

Step-by-step explanation:

Using the Law of Sines,

Here,

Solving :

Finding MN :

Answer:

(- 1, - 7 )

Step-by-step explanation:

substitute the x- coordinate into the equation and if the value obtained is equal to the y- coordinate, then it is a solution

(2, 0 ) → y = 2(2) - 5 = 4 - 5 = - 1 ≠ 0 ← not a solution

(- 1, - 7 ) → y = 2(- 1) - 5 = - 2 - 5 = - 7 → solution to equation

(- 9, - 2 ) → y = 2(- 9) - 5 = - 18 - 5 = - 23 ≠ 2 ← not a solution

(1, 3 ) → y = 2(1) - 5 = 2 - 5 = - 3 ≠ 3 ← not a solution

Answer:

Yes

Step-by-step explanation:

Pythagorean theorem is a^2+b^2 = c^2 where each letter is a side of a triangle. If you know 2 sides then there is only 1 unknown and 1 equation so you can easily find the third side by solving the equation.

The number of weeks when both Michelle and Zuri would both have their hair done again on the same day is 6 weeks.

In order to determine when they would both have their hair done on the same day, the common multiple of 8 and 5 has to be determined.

A multiple of a number is the product of an integer and that number.

Multiple of 8 = 8, 16, 24, 32, 40, 48, 56, 64, 72, 80

Multiple of 5 = 5, 10, 15, 20, 25, 30, 35, 40, 45, 50

Common multiple = 40

Number of weeks = 40 / 7 = 5.71 = 6 weeks

To learn more about multiples, please check: https://brainly.com/question/26030133

Answer: 5250 milliliters

Step-by-step explanation:

i hope this will be helpful

Answer:

3 + (1.50 x m) = c

m stands for amount of miles driven, c stands for total cost.

Answer:

x = 2

Step-by-step explanation:

5x + (- x) - 1 = 11 - 2x , that is

5x - x - 1 = 11 - 2x

4x - 1 = 11 - 2x ( add 2x to both sides )

6x - 1 = 11 ( add 1 to both sides )

6x = 12 ( divide both sides by 6 )

x = 2

Answer:

The value of x is 2

Step-by-step explanation:

=> 5x + (-x) - 1 = 11 - 2x

=> 5x -x -1 = 11 - 2x

=> 4x - 1 = 11 - 2x

=> 4x+2x = 11+1

=> 6x = 12

=> x = 12/6

=> x = 2

Answer:

16, 104, 1000

Step-by-step explanation:

8*2

8*13

8*125

Answer:

1,120

Step-by-step explanation:

We start off the multiples of 8 with 8, 16, 24, 32, 40, 48, 56, 64, 72, 80, 88, 96, 104

The smallest positive 2 digit multiple is 16

The smallest 3 digit multiple is 104

We know 8 x 100 = 800, so we are still in 3 digits

Now we try 8 X 110 = 880

Now let's try 8 x 120 = 960

Now, 8 x 125 = 1,000 which is the smallest 4 digit number we can get

16 + 104 + 1000 = 1,120