If A = C + 3A=C+3, B = 2CB=2C, and C = 4C=4, which is the correct order from least to greatest?

Answer:

24

Step-by-step explanation:

There are 6 different types of rackets and 4 different types of balls.

To determine the number of different combinations

6 rackets * 4 balls

24 combinations

Answer:

24

Step-by-step explanation:

Answer:

irrational

[tex]\sqrt{-15}[/tex] would be imaginary

Step-by-step explanation:

Hey there! I'm happy to help!

An irrational number is a real number that can't be written as a ratio of two other integers (non-fraction numbers) so a number like π or √2.

An imaginary number is one that breaks a mathematical rule so it can't necessarily exist as a real number. The main imaginary number is i, and here is the thing it does that breaks the rules and makes it imaginary:

i²=-1

so

√-1=i

We know that you cannot square a real number and have it be negative because a negative number can only be obtained by multiplying a positive and a negative number. This also shows us that there cannot be a square root of a negative number.

We have the number -√15. The placement of that negative sign is CRUCIAL! The square root of any positive integer is going to be a real number, but the square root of a negative number is nonexistent aka imaginary. √-15 would be an imaginary number, but we have -√15, which is the same thing as -1·√15. The negative sign is not inside the square root, which makes it not imaginary, so this is an irrational number. You can plug it into a calculator and it would be -3.872983346....

Have a wonderful day and keep on learning :)

Answer:

the other factor is (x+7)

Step-by-step explanation:

Given x^2+11x+28

factor into

x^2+7x + 4x + 28

=x(x+7) + 4(x+7)

= (x+4)(x+7)

Answer: the other factor is (x+7)

Answer:

Step-by-step explanation:

This is a consistent dependent system. This means that the lines will eventually intersect in one place.

Inconsistent systems are parallel lines and equivalent systems represent a line completely overlapped by another line because they have the same equation.

Answer:

  $2587.87 per month

Step-by-step explanation:

The listed deductions are ...

The percentages have a total of ...

  25 +9.3 +6.2 +1.45 +0.9 +5 = 47.85 . . . percent

So, Christine's take-home pay is ...

  $5250(1 -0.4785) -150 = $2587.87 . . . per month

Answer: 2.1 cm per minute

Step-by-step explanation:

567/27 =21 mm

convert mm to cm (1mm = 0.1c,)

21mm = 2.1cm

Answer:

2.1 cm or 21 mm

Step-by-step explanation:

567 ÷ 27 = 21

Therefore the turtle can crawl 21 mm in a minute.

To covert mm to cm, we simply divide by 10.

21 ÷ 10 = 2.1

Answer:

∠T ≅ ∠A

Step-by-step explanation:

Since, ∆MTW ≅ ∆CAD

Therefore, ∠T ≅ ∠A (cpct)

Answer:

[tex]A_s = 36\pi - 72[/tex]

Step-by-step explanation:

[tex]A_{shaded} = \frac{A_{circle}}{4} - A_{triangle}\\\\A_c = \pi r^2\\A_c = \pi(12)^2\\A_c = 144\pi\\\\A_t = \frac{b * h}{2} \\\\A_t = \frac{12 * 12}{2} \\\\A_t = 72\\\\\\A_s = \frac{144\pi }{4} - 72\\A_s = 36\pi - 72[/tex]

Answer:

Step-by-step explanation:

I just graphed this and used the "maximum value" capability to locate the max value. It occurs at (0.363, 3).

f(x) = 5x^2 + 25x + 30

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

Explanation:

The roots, aka x intercepts, of this curve are x = -3 and x =  -2. This is where the graph crosses the x axis.

Since x = -3 is a root, this makes x+3 a factor of the quadratic. Similarly, x = -2 leads to x+2 as another factor. I'm using the zero product property.

So far we have found that the polynomial is (x+3)(x+2). This isn't the full factorization because if we plugged x = -1 into that expression, then we would get

y = (x+3)(x+2)

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

y = (2)(1)

y = 2

But we want y = 10 instead. So we must multiply that factorization by 5 to jump from 2 to 10 (i.e. 5*2 = 10)

Therefore, the full factorization of this parabola is y = 5(x+3)(x+2)

Now let's expand everything out and simplify

y = 5(x+3)(x+2)

y = 5(x^2+2x+3x+6)

y = 5(x^2+5x+6)

y = 5x^2+5*5x+5*6

y = 5x^2 + 25x + 30

Choice C is the final answer

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

To check this, we can plug in x = -3 and we should get 0

y = 5x^2 + 25x + 30

y = 5(-3)^2 + 25(-3) + 30

y = 5(9) + 25(-3) + 30

y = 45 - 75 + 30

y = -30 + 30

y = 0

This proves that x = -3 is a root of y = 5x^2 + 25x + 30

I'll let you check x = -2. You should also get y = 0 when plugging this x value in.

Plugging x = -1 should lead to y = 10 as the last bit of confirmation. I'll let you check this one as well.

Answer:

The correct option is;

B. s ≥ 12 - t, s ≤ 30 - t, s ≤ 24 - 0.66·t

Step-by-step explanation:

The given parameters are;

The number of T-shirts, t, and shorts, s, Tim must design a day = 12

The maximum number of T-shirts and shorts Tim can design a day = 30

The maximum number of hours Tim can work = 18 hours

Therefore, we have;

The number of shorts Tim designs in a day is ≥ The minimum number of T-shirts and shorts Tim must design a day less the number of T-shirts Tim designs

Which gives;

s ≥ 12 - t

Also the number of shorts Tim designs in a day is ≤ The maximum number of T-shirts, and shorts, Tim can design a day less the number of T-shirts Tim designs

Which gives;

s ≤ 30 - t

The number of 45 minute period for the design of shorts in 18 hours = 18×60/45 = 24

The fraction of 36 minutes in 45 minutes = 36/45 = 0.667

Therefore we have;

The number of shorts Tim designs in a day is ≤ The number of 45 minute periods in 18 hours less the number of 36 minutes periods used to design T-shirts

Which gives;

s ≤ 24 - 0.66·t

The correct option is s ≥ 12 - t, s ≤ 30 - t, s ≤ 24 - 0.66·t.

Answer:

B. s> 12-tss 30 - t Ss 24 -0.66t, s 2 0; t> 0

Step-by-step explanation:

Hope this helps!!

Answer:

g(x) = -x²

Step-by-step explanation:

Answer:

-x^2

Step-by-step explanation:

The parent equation of a parabola is x^2.

Because the parabola is upside down, the equation becomes negative.

Answer: Repeating decimals

Fractions

Terminating decimals.

Step-by-step explanation:

But imaginary numbers comes in the set of irrational number as it cannot be expressed as fractions.

Hence, the correct choices are :

Repeating decimals

Fractions

Terminating decimals.

Answer:

x=(t+m)/b is the answer

Step-by-step explanation:

Hope it will help :)

Answer:

x =  t(b-m)

Step-by-step explanation:

x/t + m =b

subtract m from each side

x/t +m-m = b-m

x/t =b-m

Multiply each side by t

x/t *t = t(b-m)

x =  t(b-m)

Sure, I will help you. The answer you are looking for is x=11.

Solution/Explanation:

Write out the equation:

3(x+5)=5x-7

Using the Distributive Property on the LEFT SIDE,

3x+15=5x-7

Next, subtracting 3x from both sides,

3x-3x+15=5x-3x-7

15=2x-7, or 2x-7=15

2x-7=15

Now, adding seven to both sides,

2x-7+7=15+7

2x=22

Finally, dividing both sides by 2,

So, therefore the final answer is x=11. And, also, the next step would be written as 3x+15=5x-7, as stated above, preliminarily.

I hope this helped you find your answer. Enjoy your day, and take care!

The answer you are looking for is 3x+15=5x-7. But, the answer is x=11.

Answer:

See Below.

Step-by-step explanation:

We want to prove that:

[tex]\displaystyle \sin^2 A + \sin^2 B \cdot \cos 2A = \sin^2 B + \sin^2 A \cdot \cos 2B[/tex]

Recall that double-angle identity for cosine:

[tex]\displaystyle \begin{aligned} \cos 2x &= \cos^2x - \sin^2 x \\ &= 2\cos^2x -1 \\ &= 1 - 2\sin^2 x\end{aligned}[/tex]

Substitute cos(2A) for its third form:

[tex]\displaystyle \sin^2 A + \sin^2 B \cdot \left(1 - 2\sin^2 A\right) = \sin^2 B + \sin^2 A \cdot \cos 2B[/tex]

Distribute:

[tex]\displaystyle \sin^2 A + \sin^2 B - 2\sin^2B \sin^2A = \sin^2 B + \sin^2 A \cdot \cos 2B[/tex]

Rewrite:

[tex]\displaystyle \sin^2 B + \left(\sin^2 A - 2\sin^2 B\sin^2 A\right)[/tex]

Factor:

[tex]\displaystyle \sin^2 B + \sin^2A\left(1 - 2\sin^2 B\right) = \sin^2 B + \sin^2A\cdot \cos 2B[/tex]

Double-Angle Identity for cosine:

[tex]\displaystyle \sin^2 B + \sin^2 A \cdot \cos 2B \stackrel{\checkmark}{=} \sin ^2 B + \sin^2 A\cdot \cos 2B[/tex]

Hence proven.

Answer:

9.42

Step-by-step explanation:

Breaking the phrase down:

'Nine' would be the number 9 in the ones place.

'And' represents the decimal in a number. ('.')

'Forty-Two Hundredths" is 0.42.

So, "nine and forty-two hundredths" would be 9.42.

Hope this helps.

Answer:

2x^2 -1

Step-by-step explanation:

f(x)=2x^2+3

g(x)=x-4

g(f(x))

Replace x in g(x) with the function f(x)

g(f(x)) = 2x^2+3 -4

Combine like terms

         =2x^2 -1

Answer:

28.26 in ^2

Step-by-step explanation:

The diameter is 6 inches

The radius is 1/2 of the diameter

r = 1/d = 1/2(6) = 3 inches

A = pi r^2 = 3.14( 3)^2  = 3.14 (9) =28.26 in ^2

Find the z-score for both 75% and 82% then subtract them.

Z-score for 75%:

75 -75 /7 = 0-7 = 0

Using empirical rule, This translates to a percentile if 50%

Z-score for 82%

82-75 /7 = 7/7 = 1

Using empirical rule, this translates to 84.13%

Answer = 84.13-50 = 34.13% round to 34%

Answer:

34%

Step-by-step explanation:

Well 75+7=82 and one hop on the graph is 34%.

Answer:

2m - 3

Step-by-step explanation:

We know that Jim ran m miles. Twice that amount is simply 2 times that, or 2 * m which simplifies to 2m. 3 miles fewer means that we have to subtract 3 from that quantity, so the answer is 2m - 3.

Answer:

2m - 3

Step-by-step explanation:

Distance ran by Jim = m

Twice as far as Jim : 2 * m = 2m

3 miles fewer than '2m' = 2m - 3

Distance ran by Kelly = 2m - 3

Answer:

a) Suzette ran for 4 hours

b) Suzette biked for 5 hours

Step-by-step explanation:

Speed is rate of distance traveled, it is the ratio of distance traveled to time taken. It is given by:

Speed = distance / time

The total distance ran and biked by Suzette (d) = 80 miles, while the total time ran and biked by Suzette (t) = 9 hours.

For running:

Her speed was 5 miles per hour, let the total hours Suzette ran be x and the total distance she ran be p, hence since Speed = distance / time, therefore:

5 = p / x

p = 5x

For biking:

Her speed was 12 miles per hour, let the total hours Suzette ran be y and the total distance she ran be q, hence since Speed = distance / time, therefore:

12 = q / y

q = 12y

The total distance ran and biked by Suzette (d) = Distance biked + distance ran

d = p + q

80 = p + q

80 = 5x + 12y                 (1)

The total time taken to run and bike by Suzette (t) = time spent to bike + time spent to run

t = x + y

9 = x + y                         (2)

Solving equation 1 and equation 2, multiply equation 2 by 5 and subtract from equation 1:

7y = 35

y = 35/7

y = 5 hours

Put y = 5 in equation 2:

9 = x + 5

x = 9 -5

x = 4 hours

a) Suzette ran for 4 hours

b) Suzette biked for 5 hours

Answer:

The answer is

Step-by-step explanation:

To factor the expression

2x² - 4x - 30

First factor 2 out of the expression

That's

2( x² - 2x - 15)

Next write - 2x as a difference

2( x² + 3x - 5x - 15)

Factor out x from the expression

That's

2 [ x( x + 3) - 5x - 15 ]

Factor out -5 from the expression

2 [ x ( x + 3) - 5( x + 3) ]

Factor out x+3 from the expression

We have the final answer as

Hope this helps you

Answer:

C. 2(x - 5) (x + 3)

Step-by-step explanation:

I took the test

Answer:

26

because a is gone in b than

There are many answers we could go with here. One such answer could be the following:

You are 6 meters below the ocean surface doing a deep sea dive. This is represented by -6. Then going up 6 meters means you'll add on 6 to say (-6)+6 = 0, showing that you are at the 0 meter height, aka sea level.

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

Another possible answer could be this:

You are 6 dollars in debt. Debt is represented with negative numbers. You then somehow get 6 dollars in which you use to pay off that debt. Your balance is now (-6) + 6 = 0 dollars.

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

Another possible answer could be this:

Walking to the left is defined as moving in a negative direction. So -6 could mean we've moved 6 feet to the left. On the flip side, +6 means we move 6 feet to the right. The two cancel each other out (-6)+6 = 0 which says at the end of the day, we haven't moved anywhere. In other words, our displacement is 0 feet.

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

I'm sure there are other more creative ways to answer this question, but those three ideas above are good possible starting points.

Answer:

[tex]\Large \boxed{\frac{35}{6} }[/tex]

Step-by-step explanation:

[tex]\displaystyle \frac{700}{120}[/tex]

Reduce and simplify the fraction to lowest terms.

[tex]\displaystyle \frac{20(35)}{20(6)}[/tex]

[tex]\displaystyle \frac{35}{6}[/tex]

Answer:

area of base = pi x radius^2 = (ill use 3.14 as pi)

3.14 x 7^2 = 153.86 in^2

height = 12

circunference of base = 2 x pi x radius or pi x diameter (diameter = 2 x radius) = 3.14 x 14 = 43.96 in

surface area = perimeter of base x height (lateral area) + 2 x area of base

= 43.96 x 12 = 527.52 + 2(153.86) = 835.24

hope that answers your question

(be careful, i generally use 3.14 as pi, but if your question says to use other forms as pi, then just replace pi as what the question asks, ive given you the formulas on how to calculate area and circumf., so i hope it should be easier...)

Answer:

C) 32 * 2**1/2

Step-by-step explanation:

For rectangle P = L + W = 24 but L = 2W so

2W + W = 24

3W = 24

W = 8 and L = 2W = 16

A = L * W = 16 * 8 = 128

SO for the square with the same area

A = L * L = 128

L**2 = 128

L = 8 * 2**1/2

P = 4L = 32 * 2**1/2