Write a story problem to go with the multiplication problem 4 x 2/3 then solve the problem.

For this case we have the following kinematic equation that models the problem:

h (t) = (1/2) * (- 9.8) * t ^ 2 + 12 * t + 2

Rewriting we have:

h (t) = -4.9 * t ^ 2 + 12 * t + 2

When the ball hits the ground we have:

-4.9 * t ^ 2 + 12 * t + 2 = 0

Solving the polynomial we have:

t1 = -0.16

t2 = 2.61

We ignore the negative root because it is time.

Answer: It will take the ball to hit the ground about:

t = 2.61 sec

Answer: 13. -12 , 14. 40 ,  15. 16 , 16. 4.5

Step-by-step explanation:

Step-by-step explanation:

diagonals bisect

5u-10= 2u+2

3u = 12

u=4

v/3 = 6

v=18

Answer:

20 degrees

Step-by-step explanation:

every triangle had 3 angles that all add up to 180

the problem gives you two angles which are 120+40 which is 160

180-160 is 20 degrees which is whi it is the answer

Answer:

Danielle is 7 and her counselor is 21

Step-by-step explanation:

Let x be the age of Danielle and y be the age of her counselor then:

y=3x

x+y=28

We can solve this using substitution. In this case, substitute 3x for y since y=3x...

x+3x=28

   4x=28

Divide both sides by 4 (division property of equality)

x=7

y=3x=3(7)=21

Danielle is 7 and her counselor is 21

Answer:

Step-by-step explanation:

Given equation:

We can see x = 0 is the solution as it makes both sides equal.

We have a fraction with the denominator of x - 2.

It can't equal to zero since we can't divide by zero:

Correct choice is D

Answer:

See attached graphic

Step-by-step explanation:

Explained in attachment.

Answer:

-4 ≤ x ≤ 6

Step-by-step explanation:

left-most point is at (-4,-4) and right-most point is at (6,4)

domain is only concerned with the x-values

so the domain is between -4 and 6, inclusive

The perimeter of the triangle will be 41ft

The perimeter of a triangle is the sum of all the sides of the triangle

From the given triangle, we need to get the third sidee firse as shown:

h² = 12² + 12²

h² = 144 + 144

h² = 288

h = 17ft

Perimeter = 12 + 12 + 17

Perimeter = 41ft

Hence the perimeter of the triangle will be 41ft

Learn more on perimeter of triangle here: https://brainly.com/question/24382052

Answer: 41 ft

Step-by-step explanation:

Answer:

$5.25

Step-by-step explanation:

add all the prices up and subtract it from $15

bumper cars : 1.75

giant slide : 1.75 - .50 = 1.25

ferris wheel : 1.25 + 1.50 = 2.75

roller coaster : 2.75 + 1.25 = 4.00

1.75 + 1.25 + 2.75 + 4.00 = 9.75

15 - 9.75 = 5.25

Answer:

2:1

Step-by-step explanation:

Answer:

$12

Step-by-step explanation:

Method 1

8% = 8/100 = 0.08

Therefore, to find 8% of the purchase price, multiply 0.08 by $150:

$150 x 0.08 = $12

Method 2

$150 is 100% of the purchase price, so to find 8%, divide $150 by 100 to give the equivalent of 1% and then multiply that by 8 to find 8%:

150 ÷ 100 = 1.5  ⇒  $1.50 is 1% of the purchase price

1.50 x 8 = 12  ⇒  $12 is 8% of the purchase price

Answer:

h = d/60 - 1/3 = d-20/60

Step-by-step explanation

To simply put it let's say if you are able to make this trip by car without stopping. Nonstop drive: 501 miles or 806 km Driving time: 7 hours, 42 minutes.

Answer:

2.5

Step-by-step explanation:

Start by plugging in the given values into the equation:

v=u+at

v=3+(-2)(1/4)

Now we simplify and solve

v=3-1/2

v=2 1/2

v=2.5

Answer:

x = 20°

Step-by-step explanation:

The angle opposite to 3x + 20 is also 3x + 20     (opposite interior angles)

The angle opposite to 5x is also 5x                      (opposite interior angles)

Solve:

Set up the equation by adding all the angles. The sum of these angles should equal 360.

x = 20°

-Chetan K

Answer:

the conversion rate from £ to $ is 1£ = 1.67$

Step-by-step explanation:

the conversion rate from £ to $ is 1£ = 1.67$

Answer:

Inequality 1:  y ≤ 5x + 1           Inequality 2:  y > x -2

Explanation:

the first line is intersecting the y-axis at 1

coordinates = ( 0 , 1 ) , ( -1 , -4 )

slope of the first line = (y2-y1)/(x2-x1)

                                   = (-4-1 )/(-1-0)

                                   = -5/-1

                                   = 5

so equation: y = mx + b ....where m is the slope and b is y-intercept.

                 → y ≤ 5x + 1   .........as equals to and greater than

the second line is intersecting the y axis at -2

coordinates = ( 2 , 0 ) , ( 0 , -2 )

slope of second line =  (y2-y1)/(x2-x1)

                                   = (-2-0)/(0-2)

                                   = 1

so equation: y = mx + b ....where m is the slope and b is y-intercept.

                  → y > x -2 ..........as dotted represents not equals to.

Answer:

Area & Circumference = 12.56ft

Step-by-step explanation:

The formula for area of a circle is πr^2

r = 2

π = 3.14

(3.14) x (2^2)

(3.14) x (4) = 12.56

The formula for circumference of a circle is 2πr

r = 2

π = 3.14

2 x (3.14) x 2

(3.14) x (4) = 12.56

what direction are you being asked to reflect them

Step-by-step explanation:

i can give an easy answer and explanation then

To add or subtract the two quadratic or polynomial equation, add or subtract the same power variables from each other.

The result of the difference of the given quadratic equation is,

[tex]h(x)=-4x^2-6x+6\\[/tex]

Hence option 3 is the correct option.

A quadratic equation is the equation in which the unknown variable is one and the highest power of the unknown variable is two.

The standard form of the quadratic equation is,

[tex]ax^2+bx+c=0[/tex]

Here,  [tex]a,b,c[/tex] is the real numbers and  [tex]x[/tex] is the variable.

To add or subtract the two quadratic or polynomial equation, add or subtract the same power variables from each other.

Given information-

The given quadratic equations are,

[tex]f(x)=8x^2-2x+3[/tex]

[tex]g(x)=12x^2+4x-3[/tex]

The function [tex]h(x)[/tex] is the difference of the two given functions. Thus,

[tex]h(x)=f(x)-g(x)[/tex]

Put the values,

[tex]h(x)=(8x^2-2x+3)-(12x^2+4x-3)[/tex]

Open the brackets by multiplying with sign as,

[tex]h(x)=8x^2-2x+3-12x^2-4x+3[/tex]

Separate the terms with same power of variable as,

[tex]h(x)=8x^2-12x^2-2x-4x+3+3\\[/tex]

To add or subtract the two quadratic or polynomial equation, add or subtract the same power variables from each other.Thus,

[tex]h(x)=-4x^2-6x+6\\[/tex]

Thus the result of the difference of the given quadratic equation is,

[tex]h(x)=-4x^2-6x+6\\[/tex]

Hence option 3 is the correct option.

Learn more about the quadratic equation here;

https://brainly.com/question/1214333

Answer:

c

Step-by-step explanation:

magic

Answer:

Area = 28 cm²

Step-by-step explanation:

The formula for trapezoids is (a + b)/2 · h

In this case, a = 6

                   b = 8

                    h = 4

Plug in the numbers into the formula.

A = (a + b)/2 · h

A = (6 + 8)/2 · 4

A = (14/2) · 4

A = 7 · 4

A = 28

**Another trapezoid formula you might know it by is also..

A = 1/2(b₁ + b₂)h

I suggest memorizing the formula. If you know the formula, you'll be set! All you will do is plug in the numbers. I'm not sure if this will help, but b₁ (or a) is the top measurement. In this case, it's 6 cm. And the b₂ (or b) is the bottom measurement, which is 8 cm in this case. The h or height is obviously 4 cm in this example.

Answer:

All Factors of 340: 1, 2, 4, 5, 10, 17, 20, 34, 68, 85, 170 and 340.

Prime Factors of 340: 2, 5, 17.

Prime Factorization of 340: 22 × 51 × 171

Sum of Factors of 340: 756.

Step-by-step explanation:

Answer:

x ≤ 5

Step-by-step explanation:

3x -  8 - x ≤ 2 , that is

2x - 8 ≤ 2 ( add 8 to both sides )

2x ≤ 10 ( divide both sides by 2 )

x ≤ 5