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2 years ago

What is 974.362 rounded to the nearest ten

1 answer:

7 0

The tens place of the given number 974.362 is 7. To round it to the nearest ten then is should remain the same because the ones digit is equal to 4, the tens digit so be retained because it is less than 5. So the answer is 970

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Jillian is selling boxes of cookies to raise money for her basketball team. The 10 oz. box costs $3.50, while the 16 oz. box cos

cluponka [151]

we have to solve simultaneous equations.

x = 10 oz. boxes

y = 16 oz. boxes

simultaneous equations

x + y = 24 ---1)

3.50x + 5.00y = 97.50 ----2)

to solve for x we need to eliminate y, therefore we have to multiply 1st equation by 5

5x + 5y = 120 --3)

subtract 3) - 2)

5x - 3.50x = 120 - 97.50

1.50x = 22.5 x = 15

number of 10 oz. boxes are 15. answer is d.15

6 0

2 years ago

Read 2 more answers

Which statements about the graph of the function f(x) = –x2 – 4x + 2 are true? Select three options.

IceJOKER [234]

Answer:

The true statements about the graph of the function are:

The range of the function is {y : y ≤ 6} ⇒ 2nd

The function is increasing over the interval (–∞ , –2) ⇒ 3rd

The function has a positive y-intercept ⇒ 5th

Step-by-step explanation:

* Lets explain how to solve the problem

- The function f(x) = -x² - 4x + 2 is a quadratic function represented

graphically by a downward parabola with maximum vertex

∵ The form of the quadratic function is f(x) = ax² + bx + c

∵ The coordinates of the vertex of the parabola are (h , k) where

h = -b/2a and k = f(h)

∵ a = -1 , b = -4

∴ h = -(-4)/2(-1) = 4/-2 = -2

∵ k = f(h)

∴ k = -(-2)² - 4(-2) + 2 = -(4) - (-8) + 2

∴ k = -4 + 8 + 2 = 6

∴ The vertex of the parabola is (-2 , 6)

* Look to the attached figure to find the true statements

∵ The greatest value of the function is 6 ⇒ y-coordinate of the vertex

∵ The range of the function is the values y-coordinates of the points

on the parabola

∴ The range of the function is {y : y ≤ 6}

- The domain of the function is {x : x ∈ R} or (-∞ , ∞)

∵ The value of y increasing after -∞ to the x-coordinate of the vertex

∵ x-coordinate of the vertex is -2

∴ The function is increasing over the interval (–∞ , –2)

- The parabola intersect the y-axis at point (0 , 2)

∵ The y-intercept is the intersection between the parabola and the

y-axis

∵ The parabola intersect the y-axis at point (0 , 2)

∴ The y-intercept is 2

∴ The function has a positive y-intercept

9 0

2 years ago

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A hockey player strikes a hockey puck. The height of the puck increases until it reaches a maximum height of 1.5 feet, 30 feet a

Nimfa-mama [501]

Answer:

x₁ > x₂

Step-by-step explanation:

Both actions imply a parable trajectories, since both are projectile shot cases.

Let´s call x₁ maximum distance in the first case

The maximum height is just in the middle of the curve, therefore x₁ the maximum horizontal distance is equal to 60 feet.

In the second case, the parable curve is modeled by:

y = x₂*( 0.08 - 0.002x₂) or y = 0.08*x₂ - 0.002*x₂²

A second degree equation, solving for x₂ and dismissing the value x₂ = 0

we get:

y = 0 ⇒ x₂*( 0.08 - 0.002x₂) = 0 x₂ = 0

And 0,08 - 0.002*x₂ = 0

- 0.002*x₂ = - 0.08

x₂ = 0.08/0.002

x₂ = 40 f

Then x₁ > x₂

3 0

2 years ago

Roger is building a storage shed with wood blocks that are in the shape of cubic prisms. Can he build a shed that is twice as hi

Fynjy0 [20]

Given that Roger is building a storage shed with wood blocks that are in the shape of cubic prisms.

cube is basicallye a box which is made of squares. That is all the sides (lenght, width and height) are equal.

Now we have to determine, Can he build a shed that is twice as high as it is wide.

that means if width is 1 then height should be twice which is 2.

yes that is possible if we put one cubical prism over another cubical prism. then height of shed due to two prism will be twice than the width.

Hence correct choice should be "A. Yes. For every block of width, he could build two blocks high."

3 0

2 years ago

Read 2 more answers

Jude says that the volume of a square pyramid with base edges of 7 in and a height of 7 in is equal to the volume of a cylinder

irakobra [83]

Answer:

Jude is not correct

Step-by-step explanation:

The volume of a square pyramid is given as:

$V = a^2\frac{h}{3}$

where a = base edge and h = height

Hence, the volume of the square pyramid with base edge of 7 in and height of 7 in is:

$V = 7^2*\frac{7}{3}$

V = $114.3 in^3$ ≅ $114 in^3$

The volume of a cylinder is given as:

$V = \pi r^2h$

where r = radius and h = height

Hence, the volume of a cylinder with radius of 7 in and height of 7 in is:

$V = \pi *7^2*7$

V = $1077.57 in^3$ ≅ $1078 in^3$

Since their volumes are not equal, Jude is not correct.

8 0

2 years ago