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3 years ago

What is another word for magnitude?

Mathematics

1 answer:

Marianna [84]3 years ago

3 0

The size of something. Typically something that is very large.

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what you know about the toy made with 27 small cubes to find the relationship between number of cubes on each edge and the total

goldenfox [79]

Answer:

adding

Step-by-step explanation:

adding each numbers on each edge will give a total of the number cubes

7 0

3 years ago

T-shirts are on sale for $4 off he regular price. Jeb buys 5 T-shirts for a total of 45.05, including a 6% sales tax. Which equa

Ksenya-84 [330]

Answer:

1.06 × 5(r-4) = 45.05

Step-by-step explanation:

Let r represents the regular price of each T-shirt,

After getting $ 4 off in regular price,

New price of each T-shirt = r - 4,

Thus, new price of 5 T-shirts = 5 × price of each T-shirt

= 5(r - 4)

Since, there is 6% sales tax,

Then, the final price after discount = 5(r - 4) + 6% of (5(r-4))

= 5(r-4) + 0.06(5(r-4))

= 1.06 × 5(r-4)

According to the question,

1.06 × 5(r-4) = 45.05

Which is the required equation.

5 0

3 years ago

a boy is standing on a pole of height 14.7m throws a stone upwards. it moves in a vertical line slightly away from the pole and

fomenos

Answer:

The time taken for the upward motion is 1 second. The same time is taken for the downward motion

It reaches a maximum height of 4.9 meters.

Step-by-step explanation:

The equation of motion is:

$x(t) = -4.9t^{2} + 9.8t$

Since the term which multiplies t squared is negative, the graph is concave down, that is, x increases until the vertex, where it reaches it's maximum height, then it decreases.

Vertex of a quadratic equation:

Quadratic equation in the format $x(t) = at^{2} + bt + c$

The vertex is the point $(t_{v}, x(t_{v}))$ , in which

$t_{v} = -\frac{b}{2a}$

In this question:

$x(t) = -4.9t^{2} + 9.8t$

So $a = -4.9, b = 9.8$

Vertex:

$t_{v} = -\frac{9.8}{2*(-4.9)} = 1$

The time taken for the upward motion is 1 second.

$x(t_{v}) = x(1) = 9.8*1 - 4.9*(1)^{2} = 4.9$

It reaches a maximum height of 4.9 meters.

Downward motion:

From the vertex to the ground.

The ground is t when x = 0. So

$-4.9t^{2} + 9.8t = 0$

$4.9t^{2} - 9.8t = 0$

$4.9t(t - 2) = 0$

$4.9t = 0$

$t = 0$

$t - 2 = 0$

$t = 2$

It reaches the ground when t = 2 seconds.

The downward motion started at the vertex, when t = 1.

So the duration of the downward motion is 2 - 1 = 1 second.

5 0

3 years ago

What is the point-slope equation of the line with slope -4 that goes through the point (-2, 7)?

almond37 [142]

Answer:

y-7=-4(x+2)

Step-by-step explanation:

y-y1=m(x-x1)

y-7=-4(x-(-2))

y-7=-4(x+2)

6 0

3 years ago

X=-12-6y <br>-4x+5y=-39<br>slove by the system of substitution

Artist 52 [7]

X = -6y - 12
4x + 5y =-39

4x + 5y = -39
-4(-6y - 12) + 5y = -39
-4(-6y) + 4(12) + 5y = -39
24y + 48 + 5y = -39
29y + 48 = -39
29y = -87
y = -3

x = -6y - 12
x = -6(-3) - 12
x = 28 - 12
x = 6

(x, y) = (6, -3)

5 0

4 years ago