Which is a simplified form of the expression -4(3r – 2) – 2(r + 1)?

Answer:

x>6

Step-by-step explanation:

2x + 9 > 21

2x > 21-9

2x>12  dividing by 2

x>12/2

x>6

hope this helps

Answer:

x > 6

X has to be smaller than 6

Answer:

0.85

Step-by-step explanation:

A standard deck of cards has 52 cards. There are 4 10s and 4 Queens in the deck. There 8 cards that are 10s or Queens.

52 - 8 = 44

There are 44 out of 52 cards that are not 10s or Queens.

p(not 10 or Queen) = 44/52 = 0.85

Answer: 0.85

The given is that r║s while the angles are known.

m∠1 = 80 - x

m∠2 = 90 - 2x

m∠1 = m∠2 because of corresponding angles theorem.

So,

m∠1 = m∠2

80 - x = 90 - 2x

- x = 90 - 80 - 2x

- x = 10 - 2x

- x + 2x = 10

x = 10

The value of x is 10

Answer: The equation to solve is:

(x3y3+x2y2+xy+1)ydx+(x3y3−x2y2−xy+1)xdy=0

t3−t2−t+1t3+t2+t+1dt=dxx

any more help just ask :)

Answer:

3

Step-by-step explanation:

If you multiply 3/4 and 4 days together you will get 3 so the answer is 3

Answer:

B.x<0 cs u useing easy steps

Answer:

m=98°

K=82°

Step-by-step explanation:

I am 100% sure if you need the explanation tell me

Answer:

Step-by-step explanation:

To get a length of any side 8+10=18

the area= L^2=

                18^2=324m

Answer:

(-7,-3)

Step-by-step explanation:

step one) solve one equation for x.

y=-3x

-3x/-3=y/-3

x=(-y/3)

step two) plug in x for the other original problem.

y=x-4

y=(-y/3)-4

step three) solve for y.

y=(-y/3)-4

y+4=(-y/3)-4+4

3*(y+4)=(-y/3)*3

3y+12=-y

(3y+12)-3y=-y-3y

12/-4=-4y/-4

y=-3

step four) plug in -3 for y and solve for x.

y=x-4

-3=x+4

-3-4=x+4-4

-7=x

I am in algebra two so you can trust my answer. if you need more help lmk in the comments. happy holidays and stay safe!

Answer:

radius is 3.38cm

Step-by-step explanation:

Note: the volume of a cone is given as

[tex]V= 1/3 \pi r^2 h[/tex]

Step one:

Given Information

volume= 30cm^3

height= 2.5cm

Required

The radius of the cone

Step two:

substituting our data into the expression for the volume of a cone we can then solve for the radius r

[tex]30=1/3 *3.142*r^2 * 2.5\\\\30=1/3*7.855r^2\\\\30=2.62r^2\\\\[/tex]

divide both sides by 2.62

[tex]30/2.62= r^2\\\\11.45= r^2\\\\r=\sqrt{11.45} \\\\r=3.38cm[/tex]

Answer:

3 minutes

Step-by-step explanation:

30/60 which is how many minutes are in an hour, gives you .5 miles per minute and .5 x 3 = 1.5miles

Answer:

10. -x + y = 1.

Step-by-step explanation:

10. y + 1 = x + 2

y - x = 2 - 1

-x + y = 1.

Answer:

A. Reflection over the x-axis.

Step-by-step explanation:

Now, we present how to transform [tex]f(x) = x[/tex] into [tex]g(x) = -5\cdot (x-3)-8[/tex] below:

1) [tex]f(x) = x[/tex] Given.

2) [tex]f(x-3) = x - 3[/tex] Horizontal shift to the right.

3) [tex]-5\cdot [f(x-3)] = -5\cdot (x-3)[/tex] Vertical scale factor.

4) [tex]-5\cdot f(x-3)-8 = -5\cdot (x-3)-8[/tex] Vertical shift downwards.

5) [tex]g(x) = -5\cdot (x-3)-8[/tex] Definition/Result

In consequence, the only transformation which was not done to the linear parent function was a reflection over the x-axis. The correct answer is A.

Answer:

Gradient of KL = 2

Step-by-step explanation:

From the diagram, we are to calculate the gradient of KL. Gradient is salso known as the slope of the line.

Gradient of KL = ΔOK/ΔOL

Given

OK = 2OL

Substitute into the formula

From the diagram, ΔOL = -5

ΔOK = 2ΔOL

ΔOK = 2(-5)

ΔOK = -10

Hence;

Gradient = -10/-5

Gradient of KL = 2

Step-by-step explanation:

Let (x, y) be the coordinates of point B.

(4, 6) => (-2, 4) => (x, y)

We have 2(-2) = 4 + x and 2(4) = 6 + y.

Solving these, we get x = -8 and y = 2.

Hence the coordinates of point B is (-8, 2).

Point Q is the midpoint of AB. Q has coordinates of (-2, 4) and A has coordinates of (4,6). Hence the coordinates of point B will be (-8, 2).

Suppose we've two endpoints of a line segment as:

A (p,q), and B (m,n)

Then let the midpoint be M(x,y) on that line segment.

Then, its coordinates are:

[tex]x = \dfrac{p+m}{2}[/tex]

and

[tex]y = \dfrac{q+n}{2}[/tex]

Let (x, y) be the coordinates of point B.

Q has coordinates of (-2, 4).

A has coordinates of (4,6).

A (p,q) = (4, 6)

M(x,y)=  (-2, 4)

B = (x, y)

We have

2(-2) = 4 + x

2(4) = 6 + y.

Solving these, we get

x = -8 and y = 2.

Hence the coordinates of point B will be (-8, 2).

Learn more about midpoint here;

https://brainly.com/question/7358842

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Answer: $1,266.697.

Step-by-step explanation:

given data:

loan amount =  $7500

duration = 6 months

interest rate = 2.5%

Solution:

[tex]A = P \frac{i(1+i)^{n} }{(1+i)^{n} -1}[/tex]

i = [tex]\frac{2.5}{100} \\= 0.025\\\frac{0.025}{6} \\= 0.004167[/tex]

=

= [tex]7500(\frac{0.00427}{0.0253} )[/tex]

= [tex]7500(0.169)[/tex]

= $1,266.697

Step-by-step explanation:

The value of f(2) is -5.

Answer:

y=-5

Step-by-step explanation:

You just have to see what y is when x is 2.

The acceleration due to gravity in inches per second squared is

288 inches / seconds²

Option A is the correct answer.

It is the conversion of one unit to another unit with its standard conversion.

Example:

1 hour = 60 minutes

1 minute = 60 seconds

1 km = 1000 m

1 feet = 12 inches

We have,

The acceleration of an object due to gravity:

= 24 feet / seconds²

Now,

1 feet = 12 inches

24 feet = 288 inches

So,

24 feet / seconds²

= 288 inches / seconds²

Thus,

The acceleration of an object due to gravity is 288 inches / seconds².

Learn more about unit conversion here:

https://brainly.com/question/13899873

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Answer:

B

Step-by-step explanation:

The formula for area of a square is length x width. The x represents the width and the 7x is just the width times 7. this means the length is 7 times the width, If the width is x, then the length is 7x

Answer:

Case1:

Men : 30

Work : 1

Time (day×hr): 56×6 = 336 hr.

Case2:

Men : let it be m men.

Work: 1

Time: 45×7 = 315 hr.

Work being constant in both cases, men and time are in inverse proportion i.e, more men take less time.

Product of men and time is constant in both cases.

Therefore, 30×336=m×315

Or, 30×336/315 = m

Or, m = 32.

Hence, required number of men is 32.

Step-by-step explanation:

Answer:

1.1x10^3

Step-by-step explanation:

You divide by 10 until you get one digit on the left of the decimal, and however many times you divided by ten is the exponent that goes with the 10 in scientific notation.

Answer:

63 Seconds

Step-by-step explanation:

The reason how I got this is I divided 36 by 4 to get 9 seconds per handspring, next I multiplied 7 by 9 to get the answer.

Answer:

63

Step-by-step explanation:

If gymnast can do 4 back handsprings in 36 seconds , then for 1 backspring the gymnast took 36/4 = 9 seconds.

If the gymnast took 9 seconds for 1 back handsprings, Time taken by the gymnast to do 7 backsprings = 9×7 = 63 seconds

Answer:

-10= -40/4 b=-40

Step-by-step explanation:

Answer:

b=40

Step-by-step explanation:

Answer:

$2.10

Step-by-step explanation:

Well 20% is basically 0.2

So 10.52 X 0.2 = $2.104 discounted

I think you need to round this because money is the unit so

$2.10 is your answer.

Answer:

2.10

Step-by-step explanation:

Answer:

Concept: Higher level Mathematics- Derivatives

[tex] \frac{ax + b}{ \sqrt{x} } \frac{d}{dx} [/tex]