You are going to use an incline plane to lift a heavy object to the top of a shelving unit with a height of 5 ft. The base of the incline plane is 15 ft from the shelving unit. What is the length of the incline​ plane?

Answer:

A) The fish was out of water for 0.6875 seconds.

B) Maximum height = 5.672

Step-by-step explanation:

Height is modeled by;

y = -16t² + 11t

A) To find total time of the fish out of water, we need to find the x - intercept. That is the points where y = 0

So, 0 = -16t² + 11t

So the roots of this equation are;

t = 0 or 0.6875

Thus,the fish was out of water for 0.6875 seconds.

B) y = -16t² + 11t

The x coordinate of the vertex is at - b/2a

For y = -16t² + 11t

a = -16, b = 11, c = 0

So, -b/2a = -11/(2*-16) = 11/32

The maximum height will be at the y-coordinate of the vertex.

Thus, we need to find f(11/32)

f(11/32) = -16(11/32)² + 11(11/32) = 1.890625 + 3.78125 = 5.671875 ≈ 5.672

Answer:

y = - 3x - 1

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Calculate m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (- 1, 2) and (x₂, y₂ ) = (0, - 1) ← 2 points on the line

m = [tex]\frac{-1-2}{0+1}[/tex] = - 3

The line crosses the y- axis at (0, - 1) ⇒ c = - 1

y = - 3x - 1 ← equation of line

Answer:

last one

Step-by-step explanation:

the domain includes all real numbers and the range is y>0

Answer:

B

Step-by-step explanation:

trust me bro  i gotchu

Answer:

18

Step-by-step explanation:

54/18=3

72/18=4

90/18=5

Answer:

18

Step-by-step explanation:

GCF of 54, 72, 90 is:

54÷3= 18

72÷4= 18

90÷5= 18

The GCF of 54, 72, and 90 is 18.

Answer:

144m^3

Step-by-step explanation:

Answer:

98

Step-by-step explanation:

Angles in a triangle: 180

Supplementary Angles: 180

180-122=58

58+24=82

180-82=98

Answer:

B. 4 would be your answer.

Step-by-step explanation:

7 x 3 = 21

4 x 3 = 12

:)

Answer:

B. 4.

Step-by-step explanation:

Let the number be x then

x/7 = 12/21

Crossmultiply:

x = 7*12 / 21

x =  12 / 3 = 4.

Answer:

y=1/2x+5

Step-by-step explanation:

the perpendicular line equation's slope is a negative reciprocal, so the new equation's slope is 1/2. so now you have y=1/2x+b plug in (-4,3) to find b. so you will do 3=1/2(-4)+b. 3=-2+b and then you solve for b. you would get b=5. so, the new equation is y=1/2x+5

Answer:

2

Step-by-step explanation:

51+1 = 52

Since 52 is even, obviously the answer is 2.

Hope this helps.

Good Luck

Answer I think

:randomly survey six grade students in the school cafeteria

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

Randomly surveying 6th graders in the school cafeteria would give jacob valid results because A wouldn't be reliable, because he just wants 6th graders, and B and D would be selective as it would be inside a football store, implying that most 6th graders in there would be tending towards football, and D would be inside a tennis shop, which would imply that most 6th graders there would prefer football. Therefore, the cafeteria would yield the most reliable results.

Answer:

make them the same

Step-by-step explanation:

hope this helps

Answer:

B

Step-by-step explanation:

Answer:

[tex] A) \: x = - 10 \\ B) \: x = 7 [/tex]

Step-by-step explanation:

[tex]A) \\ = > 2(x + 3) = x - 4 \\ \\ = > (2 \times x) + (2 \times 3) = x - 4 \\ \\ = > 2x + 6 = x - 4 \\ \\ = > 2x - x + 6 = - 4 \\ \\ = > x + 6 = - 4 \\ \\ = > x = - 4 - 6 \\ \\ = > x = - 10 \\ \\ \\ B) \\ = >4(5x-2)=2(9x+3) \\ \\ = > (4 \times 5x) - (4 \times 2) = (2 \times 9x) + (2 \times 3) \\ \\ = > 20x - 8 = 18x + 6 \\ \\ = > 20x - 18x - 8 = 6 \\ \\ = > 2x - 8 = 6 \\ \\ = > 2x = 6 + 8 \\ \\ = > 2x = 14 \\ \\ = > x = \frac{14}{2} \\ \\ = > x = 7[/tex]

Answer:1/6

Step-by-step explanation:

Answer:

114.

Step-by-step explanation:

18 + 4 + 2 x 3 x 15 + 2

multiply the numbers 2 x 3 x 15 + 90

18 + 4 + 2 + 90 + 2

add the numbers : 18 + 4 + 2 + 90 + 2

= 114!

To show that ABC =DEF by AAS congruent postulate, (A) [tex]\angle A \cong \angle D[/tex]

The given parameters are:

AB = DE = 10

[tex]\angle C \cong \angle F = 30^o[/tex]

The above highlight show that one side and one angle of the triangle are congruent

To complete the AAS postulate, one other corresponding angle must be congruent.

From the figure, points A and D are corresponding points

Hence, to show that ABC =DEF by AAS congruent postulate, (A) [tex]\angle A \cong \angle D[/tex] must be true

Read more about congruent triangles at:

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The reason needs to show the triangles are congruent by AAS is ∠A ≅ ∠D.

Two triangles are said to be congruent if their corresponding parts are congruent with each other.

Given that, triangles ΔABC, and ΔDEF, need to be congruent by AAS rule,

∠C ≅ ∠F, AB = DE, we need to find one more reason,

AAS rule :-

AAS or Angle Angle Side congruence rule states that if two pairs of corresponding angles along with the opposite or non-included sides are equal to each other then the two triangles are said to be congruent.

So, the reason must be  ∠A ≅ ∠D.

Hence, the reason needs to show the triangles are congruent by AAS is ∠A ≅ ∠D.

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Answer:

Step-by-step explanation:

3m^2(5m+8) + 5(5m +8)

(3m^2+5)(5m+8)

Answer: its A

sorry if im wrong

The equation 890 = 1/3 B(46)  can be used to find the area of the circular base .

Area is the space enclosed  within the perimeter of the given shape.

It is given in the question that Area of the base of a volcano has to be determined.

The structure of a volcano is that of a Cone

Area of a conical structure is given by

V = (1/3) * height * (radius)²

890 = 1/3 (radius)²(46)

V = 890 h = 46

area of a circle = π (radius)²,

890 = 1/3 B(46)

If B = (radius)²

Therefore Option D is the correct answer

890 = 1/3 B(46)  equation can be used to find the area of the circular base .

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Answer:

see below

Step-by-step explanation:

4(5n-7)+10n+2

Distribute

20n -28 +10n+2

Combine like terms

30n-26

Assuming you meant =

4(5n-7)=10n+2

Distribute

20n -28 =10n+2

Subtract 10n from each side

20n-10n-28 = 10n-10n+2

10n-28 =2

Add 28 to each side

10n-28+28=28+2

10n=30

Divide by 10

10n/10 =30/10

n=3

9(x+3)=4x-3

Distribute

9x+27 = 4x-3

Subtract 4x from each side

9x-4x+27 = 4x-4x-3

5x +27 =-3

Subtract 27 from each side

5x+27-27 = -3-27

5x = -30

Divide by 5

5x/5 = -30/5

x=-6

2(12-8x)=x-11x

Combine like terms

2(12-8x) = -10x

Divide by 2

12-8x = -5x

Add 8x to each side

12-8x+8x = -5x+8x

12 = 3x

Divide by 3

12/3 =3x/3

4=x

Answer:

See explaination

Step-by-step explanation:

Assuming that these are three different problems:

1) 4(5n-7) = 10n+2

Distribute:

4(5n-7) = 10n+2

20n - 28 = 10n + 2

Combine like terms, isolate, and solve:

10n = 30

n = 3

2) 9(x+3) = 4x-3

Distribute:

9(x+3) = 4x-3

9x+27 = 4x - 3

Combine like terms, isolate, and solve:

5x = -30

x = -6

3) 2(12-8x) = x-11(i assumed the extra x was a typo)

distribute:

24-16x = x-11

Combine like terms, isolate, and solve:

35 = 17x

x = 35/17

Answer: C

Step-by-step explanation:

Reflection in the x -axis:

A reflection of a point over the x -axis is shown. The rule for a reflection over the x -axis is (x,y)→(x,−y) .

Answer:

Question 1

Volume of a cylinder = πr²h

r= radius h= height

diameter = 2*radius

diameter = 2* 4cm= 8cm

Volume = π × 4² × 11

= 553.14cm³

Answer: g(x)=(x+7)²-2

Step-by-step explanation:

For this problem, you will need to know what each part fo the function does. You can see that g(x) is the bottom function and f(x) is the to function. F(x) has traveled down to -2. You know that the y-intercept is -2. The only answer choice with -2 as y-intercept is g(x)=(x+7)²-2.

Answer:

g(x) =  (x + 7)^2  -2

Step-by-step explanation:

f(x) = (x + 7)^2

We are shifting the function down 2 units

f(x)  -b  where b is 2

g(x) = f(x) -2

g(x) =  (x + 7)^2  -2

Answer:

1209 acres

Step-by-step explanation:

On the farm, 3/4 of the acre is planted with blue spruce trees.

There are 1612 acres on the farm. Therefore, the number of acres planted with blue spruce trees is:

3/4 * 1612 = 1209 acres

Answer:

10/12

Step-by-step explanation:

6*2=12 so

5*2=10

The solution for equation is at (-2, 0).

When an algebraic equation is graphed, it always results in a straight line since each term in a linear equation has an exponent of 1. For this reason, it is referred to as a "linear equation."

Both linear equations with one variable and those with two variables exist.

Given equations,

y = x + 2

y = x² + 5x + 6

substitute value of y in second equation

x + 2 = x² + 5x + 6

x² + 4x + 4 = 0

x² + 2x + 2x +4 = 0

x(x +2) + 2(x + 2) = 0

(x + 2)(x + 2) = 0

x = -2

and y = x + 2

y = -2 + 2 = 0

Hence, the solution of equation is at x  = -2 and y = 0.

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Answer:

28.5 ft

Step-by-step explanation:

The height of a ball is given by the equation ƒ(x) = −16x² + 45x + 2.5 where x is the tome the ball travels. To find the height of the ball after a seconds, we substitute a in place of x, the equation becomes:

ƒ(a) = −16a² + 45a + 2.5.

Therefore if the height of the ball is needed to be found after 2 seconds, we find f(2).

ƒ(2) = −16(2)² + 45(2) + 2.5 = -64 + 90 + 2.5 = 28.5 ft

f(2) = 28.5 ft

Answer:

5

Step-by-step explanation:

V= Bh

volume of figure A is 60, and the volume of figure B is half.

figure B:

B= 3*4

B= 12

60=12*h

5=h

the value of a is 5.

The value of a in the prism is 3 units.

In three-dimensional space,

a prism is a polyhedron where two ends are similar.

Given:

The volume of prism A is 60 cubic units,

and the volume of prism B is half the volume of prism A.

The base area of the prism B is 20 square units.

The volume of the prism,

V = Ba, where B is the base area and a is the height.

So,

60 = 20a

a = 3 units

Therefore, the value of a is 3 units.

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The complete question:

The volume of prism A is 60 cubic units, and the volume of prism B is half the volume of prism A. The base area of the prism B is 20 square units.

What is the value of a?

Answer:

-93

Step-by-step explanation:

it decreases by four every time, so take -4 times 22 and then subtract 5.