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4 years ago

What does e=mc3 mean?

1 answer:

5 0

It is an equation of energy and mass which was given by Albert Einstein
and it is e=mc2 which means that energy and mass are interchangable
where
 E is energy.
M is mass.
C is the speed of light
hope it helps

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In order to make an A on her project, Sarah needs at least 160 points. She has already turned in part of her work and has been g

antoniya [11.8K]

to get an A, she needs >=160 points and she already has 125 points

let 'x' be the number of points on the last part of her project then

125 + x >= 160

x >= 160 - 125

x >= 35

Sarah needs at least 35 points on the last part of her project.

8 0

3 years ago

Read 2 more answers

Katya made another set of dolls. In the new set, the largest doll has a diameter of 8.75 cm and a height of 15.6 cm. Is this a d

Natali5045456 [20]

Complete Question:

Katya creates handmade sets of dolls, which is sold to craft and souvenir stores. The first set of dolls has a middle diameter of 7cm and a height of 12cm.

Katya made another set of dolls. In the new set, the largest doll has a diameter of 8.75 cm and a height of 15.6 cm. Is this a dilation of the first set of dolls?

Answer:

The new set is not a dilation of the first set

Step-by-step explanation:

Given

First Set:

$Height = 12cm$

$Diameter = 7cm$

New Set:

$Height = 15.6cm$

$Diameter = 8.75cm$

Required

Determine if the new set is a dilation of the second

To do this, we pass through the following steps:

1. Divide the height of the first set by the new set

2. Divide the diameter of the first set by the new set

3. Result in (1) and (2) must be equal if the new set is a dilation of the first set

Following the steps above:

(1)

$Height\ Ratio = \frac{H_2}{H_1}$

$Height\ Ratio = \frac{15.6}{12}$

$Height\ Ratio = 1.3$

(2)

$Diameter\ Ratio = \frac{D_2}{D_1}$

$Diameter\ Ratio = \frac{8.75}{7}$

$Diameter\ Ratio = 1.25$

(3) Make comparison

The ratio in (1) does not equal the ratio in (2)

i.e.

$1.3 \neq 1.25$

Hence, the new set is not a dilation of the first set

7 0

3 years ago

. The estimate regression equation for a model involving two independent variables and 10 observations follows.y = 29.1270 + 0.5

beks73 [17]

Answer:

b) y = 289.815 when $x_1 = 180 \text{ and } x_2 = 310$

Step-by-step explanation:

We are given the following information in the question:

$y = 29.1270 + 0.5906x_1 + 0.4980x_2$

where y is the dependent variable,

$x_1, x_2$ are the independent variable.

The multiple regression equation is of the form:

$y = b_0 + b_1x_1 + b_2x_2$

where,

$b_0$ : is the intercept of the equation and is the value of dependent variable when all the independent variable are zero.

$b_1$ : It is the slope coefficient of the independent variable $x_1$ .

$b_2$ : It is the slope coefficient of the independent variable $x_2$ .

The regression coefficient in multiple regression is the slope of the linear relationship between the dependent and the part of a predictor variable that is independent of all other predictor variables.

Comparing the equations, we get:

$b_1 = 0.5906\\b_2 = 0.4980$

This means holding $x_2$ constant, a change of one in $x_1$ is associated with a change of 0.5906 in the dependent variable.

This means holding $x_1$ constant, a change of 1 in $x_2$ is associated with a change of 0.4980 in the dependent variable.

b) We have to estimate the value of y

$y = 29.1270 + 0.5906(180) + 0.4980(310) = 289.815$

3 0

3 years ago

Write a number or expression in each blank space to create true equations.

Rina8888 [55]

Answer:

$7(3+5)=7(3)+7(5)\\15-10=5(3-2)$

Step-by-step explanation:

Both expressions are examples of the distributive property, which basically says "if I have this many groups of some size and that many groups of the same size, I've got this + that groups of that size altogether."

To give an example, if I've got 3 groups of 5 and 2 groups of 5, I've got 3 + 2 = 5 groups of 5 in total. I've attached a visual from Math with Bad Drawings to illustrate this idea.

Mathematically, we'd capture that last example with the equation

$5(3)+5(2)=5(3+2)$ . We can also read that in reverse: 3 + 2 groups of 5 is the same as adding together 3 groups of 5 and 2 groups of 5; both directions get us 8 groups of 5. We can use this fact to rewrite the first expression like this: $7(3+5)=7(3)+7(5)$ .

This idea extends to subtraction too: If we have 3 groups of 4 and we take away 1 group of 4, we'd expect to be left with 3 - 1 = 2 groups of 4, or in symbols: $4(3)-4(1)=4(3-1)=4(2)$ . When we start with two numbers like 15 and 10, our first question should be if we can split them up into groups of the same size. Obviously, you could make 15 groups of 1 and 10 groups of 1, but 15 is also the same as 3 groups of 5 and 10 is the same as 2 groups of 5. Using the distributive property, we could write this as $15-10=3(5)-2(5)=5(3-2)$ , so we can say that $15-10=5(3-2)$ .

4 0

4 years ago

If the area of the triangular kite is 24 square ft and its base is 4 feet, find the height of the kite.

beks73 [17]

Area of a triangle is A = (1/2) (b) (h). Here we are given A and b and need to find h.

A = 24 ft^2 = (1/2) (4 ft) (height)

24 = 2(height) => height is 12 ft (answer)

3 0

3 years ago