Quadrilateral QRST is a parallelogram. Determine the measure of QRS

Answer: The smallest valuest value for k is 10, such that LCM of k and 6 is 60.

Step-by-step explanation:

We know that, LCM = Least common multiple.

For example : LACM of 12 and 60  is 60.

If LCM of k and 6 is 60.

i.e. the least common multiple of k and 6 is 60.

Since, 10 x 6 = 60.

The smallest valuest value for k should be 10, such that LCM of k and 6 is 60.

Hence, the smallest value of k is 10.

Answer:

D- two more than a number multipled by seven

Step-by-step explanation:

brainiest?

you have to do what the equation says to solve the equation! good luck!

Answer:

The probability of spinning a yellow is 0.20

Step-by-step explanation:

red= 20%

yellow= 20%

blue=20%

green=20%

orange=20%

20%=0.20

Answer:

$288

Step-by-step explanation:

16+8=24

$24 per book

24 x 12 = 288

Answer:

402

Step-by-step explanation:

The mystery number is 16 because 16 - 6 = 10.

Answer:

He travels 165 miles

Step-by-step explanation:

Answer:

v - 1 ≥ 13.

Step-by-step explanation:

'is at least' is written as ≥ ( greater or equal to).

v - 1 ≥ 13.

Answer: The /\ is 6. The number is 6.

Explanation: 678564 ÷ 9 = 75396

Answer:

[tex]f(1)=-7[/tex]

Step-by-step explanation:

We are given the derivative:

[tex]f^\prime (x) = 3 x^2 + 2x[/tex]

And the initial condition that f(2)=3.

And we want to find f(1).

So, to find our original function f(x), we will find the antiderivative of f'(x). Hence:

[tex]\displaystyle f(x)=\int f^\prime(x)\, dx=\int3x^2+2x\, dx[/tex]

By integrating, we acquire:

[tex]f(x)=x^3+x^2+C[/tex]

Since we know that f(2)=3:

[tex]3=(2)^3+(2)^2+C[/tex]

It follows that:

[tex]C=-9[/tex]

Therefore, our function is given by:

[tex]f(x)=x^3+x^2-9[/tex]

Therefore:

[tex]f(1)=(1)^3+(1)^2-9 = -7[/tex]

Here we want to solve a differential equation, we will find that our function is f(x) = x^3 + x^2 -9

So we want to find f(x) such that we know f'(x).

We know that:

f'(x) = 3x^2 + 2x

To get f(x) we just need to integrate, we will get:

[tex]f(x) = \int\limits {3x^2 + 2x} \, dx = x^3 + x^2 + c[/tex]

Where c is a constant of integration.

Now, we know that f(2) = 3, with that we can find the value of c.

f(2) = 2^3 + 2^2 + c = 3

          8 +  4 + c = 3

          c = 3 - 12 = -9

So the function is:

f(x) = x^3 + x^2 -9

If you want to learn more about differential equations, you can read:

https://brainly.com/question/18760518

Step-by-step explanation:

it's close to 6

.................

Answer:  x = 12

midsegment is 16 units long

bottom side is 32 units long

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

Work Shown:

The midsegment 2x-8 is parallel to the bottom side 2x+8

The bottom side is twice as long compared to the midsegment (since the midsegment is half the length of the bottom side).

We can say

bottom side = 2*(midsegment)

2x+8 = 2*(2x-8)

2x+8 = 4x-16

2x-4x = -16-8

-2x = -24

x = -24/(-2)

x = 12

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

Extra info:

Now that we know x, we can find the length of those segments

midsegment = 2x-8 = 2*12-8 = 24-8 = 16

bottom side = 2x+8 = 2*12+8 = 24+8 = 32

Note the bottom side (32) is exactly twice as long compared to the midsegment (16). This confirms we have the correct x value.

Answer:

$20

subtract 9 from 89 beacuse we need to find how much is 1 meal and the 9 represents 1 appetizer

89-9=80

since there are 4 meals divide 80 by 4

80÷4= 20

and u get $20 per meal

Step-by-step explanation:

The cost of an appetizer = 9

The cost of a meal = m

The cost of an appetizer and 4 meals = 9 + 4(m) = 89

4m +9 = 89         Your equation, solve for m

4m - 9 + 9 = 89 - 9    Bring the constants to one side

4m = 80               Simplification

4m/4 = 80/4         isolating the variable

m= 20                  Your answer!!!

A meal costs 20 dollars

I hope this helps!!!

If you wanted to check the answer...

Do the same thing but substitute for m

4 (20) + 9 = 89

80 + 9 = 89

89 = 89

The answer should be correct

Have a nice day!!!

Answer:

m = 5/4

(0,-1),(4/5,0)

Join the dots to obtain the graph!

Answer:

The average rate of change is -3.

Step-by-step explanation:

We are given the function:

[tex]f(x)=9-x^2[/tex]

And we want to find the average rate of change from x = 0 to x = 3.

In other words, we will compute the function at the two endpoints, and then find the slope of the line that crosses the two points.

For our first endpoint at x = 0, our function evaluates to:

[tex]f(0)=9-(0)^2=9[/tex]

So, our first point is (0, 9).

For our second endpoint at x = 3, our function evaluates to :

[tex]f(x)=9-(3)^2=0[/tex]

So, our second point is (3, 0).

Then by the slope formula, our average rate of change will be:

[tex]\displaystyle m=\frac{0-9}{3-0}=\frac{-9}{3}=-3[/tex]

I really don't know just say its o

Answer:

B

Step-by-step explanation:

Answer:

x = 2

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Equality Properties

Step-by-step explanation:

Step 1: Define

10.5x - 1.9 = 19.1

Step 2: Solve for x

Step 3: Check

Plug in x into the original equation to verify it's a solution.

Here we see that 19.1 does indeed equal 19.1.

∴ x = 2 is a solution to the equation.

80% = $18

(divide both sides by 80 to find 1%)

1% = 0.225

(multiply both sides by 100 to find 100%)

100% = $22.50

I'll do the first one to get you started.  

Find the slope of the line between R (6,-2) and S (-1,8) to get

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

m = (8-(-2))/(-1-6)

m = (8+2)/(-1-6)

m = 10/(-7)

m = -10/7

The slope of line RS is -10/7

Next, we find the slope of line DF

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

m = (4-11)/(11-(-1))

m = (4-11)/(11+1)

m = -7/12

From here, we multiply the two slope values

(slope of RS)*(slope of DF) = (-10/7)*(-7/12)

(slope of RS)*(slope of DF) = (-10*(-7))/(7*12)

(slope of RS)*(slope of DF) = 10/12

(slope of RS)*(slope of DF) = 5/6

Because the result is not -1, this means we do not have perpendicular lines here. Any pair of perpendicular lines always has their slopes multiply to -1. This is assuming neither line is vertical.

I'll let you do the two other ones. Let me know what you get so I can check your work.

Answer:

A. Bananas

Step-by-step explanation:

Bananas = 8

Oranges = 3

Apples = 5

Kiwis = 6

For every 3 kiwis, there are 4 ______

Kiwi : bananas = 6 : 8

6 : 8 = 6/8

= 3 / 4

= 3 : 4

Kiwi : oranges = 6 : 3

= 6 / 3

= 2 / 1

= 2 : 1

Kiwi : apples = 6 : 5

For every 3 kiwis, there are 4 bananas

A. Bananas

Answer:

for 24 and 72 its 24 for 16 and 18 it is 2

Step-by-step explanation:

Answer:  5.6 N/cm^2

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

Work Shown:

Pressure = (Force)/(Area)

P = F/A

P = (84 N)/(15 cm^2)

P = (84/15) (N/cm^2)

P = 5.6 N/cm^2

For every square cm, 5.6 newtons of force is applied.

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

Extra info:

If you wanted to convert this to pascals, then you would need to convert 15 cm^2 to 0.0015 square meters. Then apply the formula above to get 56,000 pascals. 1 pascal is equivalent to 1 N/m^2.

Answer:

Hope it helps u

Step-by-step explanation:

y∝ x

y=k*x

k=y/x

now putt the first point x=8 and y=2

we get   k=2/8 =1/4

and also putt 2nd point ,

x=16,y=4 we get   k=1/4 and similarly for 3rd and 4th point we also get k=1/4

hence the direct variation , equation become for all is same, that is

y=(1/4)x

Answer:

1) The volume of a hemisphere of radius R is equal to half the volume of a sphere of radius R.

Where the volume of a sphere of radius R is:

V = (4/3)*pi*R^3

In this case, the radius is R = 10ft

And pi = 3.14

2) Now we can just solve that equation to get:

V = (1/2)*(4/3)*3.14*(10ft)^3 = 2,093.33 ft^3

Where the (1/2) comes because the volume of the hemisphere is half the volume of a complete sphere, as we already said above.

4) We know that the volume of a cylinder is:

V = pi*(r^2)*h

where:

pi = 3.14

r represents the radius. The radius of the cylinder will be the same as the radius of the hemisphere, then r = 10ft

h is the height of the cylinder, in this case, h = 30ft

Then the volume is:

V = 3.14*(10ft)^2*(30ft) = 9,420 ft^3

The total volume is equal to the sum between the volumes of the cylinder and the volume of the hemisphere.

Then the total volume is:

Volume =  9,420 ft^3 + 2,093.33 ft^3 = 11,513.33 ft^3

Answer:

1. How can you find the volume of a hemisphere?

The volume of a hemisphere is half the volume of a sphere. The volume of a sphere is equal to V = (4/3)*pi*R^3

2. What is the volume of the hemisphere? Show your work.

V = (4/3)*pi*R^3

We can substitute pi for 3.14 and R for 10, and since we are finding the volume of a hemisphere, we divide by 2.

V = (1/2)*(4/3)*3.14*(10ft)^3

V = (1/2)*(4/3)*3.14*(10ft)^3 = 2,093.33 ft^3

3. What is the volume of the cylinder? Show your work.

The volume of the cylinder is 9,420ft^3

3.14*(10^2)*30=9,420

4. What is the total volume of the grain silo? Explain how you found your answer.

The total volume is 11,513.33 ft^3.

9,420 ft^3 + 2,093.33 ft^3 = 11,513.33 ft^3

Answer:

X=0

Step-by-step explanation:

36-3(2-4x0)

33(-2x0)

33(0)

=0

Answer: 15 weeks

Step-by-step explanation:

198-63=135

135/9=15

Answer:

x ≤ -3

Step-by-step explanation:

For solid lines you would do ≤ or ≥, then for shading on the right side you would need < or ≤