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Elenna [48]
3 years ago
14

Simplify (2^3)^-2 -1/64 1/64 2 64

Mathematics
1 answer:
photoshop1234 [79]3 years ago
8 0

Answer:

1/64

Step-by-step explanation:

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PLEASE HELP! 30 POINTS!
BartSMP [9]

These equations are already in vertex form. So, we can easily find the vertex of each equation.

f(x) = -(x-1)^2 - 2

Vertex: (1,-2)

The vertex in this equation is the maximum because it faces down (a=-1).

g(x) = (x+2)^2 + 1

Vertex: (-2,1)

The vertex in this equation is the minimum because it faces up (a=1).

3 0
3 years ago
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Last year, the average math SAT score for students at one school was 475. The headmaster then introduced a new teaching method h
Bess [88]

The problem with this conclusion is that there is missing data.

In order for there to be a conclusion you must test it multiple times in order to see how certain the conclusion is.

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3 years ago
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35. A can of popcorn is to be packed in a box for shipping as shown. The can is 18 inches tall and has a radius of 7 inches. The
lianna [129]

The amount of packing material is 1506 cubic inches

<h3>How to determine the amount of packing material?</h3>

The given parameters are:

<u>Can</u>

Radius, r = 7 inches

Height, h = 18 inches

<u>Box</u>

Base dimension, l = 15 inches

Height, h = 19 inches

The volume of the can is:

V = \pi r^2h

So, we have:

V_1 = 3.14 * 7^2 * 18

V_1 = 2769

The volume of the box is

V =l^2h

So, we have:

V_2 =15^2 * 19

V_2 =4275

The amount of packing material is;

Amount = V2 - V1

This gives

Amount = 4275 - 2769

Evaluate

Amount = 1506

Hence, the amount of packing material is 1506 cubic inches

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4 0
2 years ago
Find the x and y intercepts of the line. 4x-2y=16 need in 5-to minutes PLEASE
crimeas [40]
Y=2x-8 is the answer
8 0
3 years ago
In a study relating the degree of warping, in mm, of a copper plate (y) to temperature in °C (x), the following summary statisti
kipiarov [429]

Answer:

The error sum of squares is SSE=12.97

The regression sum of squares is SSR=6.430

The total sum of squares is SST=19.4

Step-by-step explanation:

Linear regression is a way "to modeling the relationship between a scalar response (or dependent variable) and one or more explanatory variables (or independent variables)".

Regression estimates are "used to describe data and to explain the relationship between one dependent variable and one or more independent variables"

The linear model is given by the following equation Y=mx +b, where y is the dependent variable, x the independent variable, m the slope and b the intercept.

For this case we have the following info given:

\sum_{i=1}^n (x_i -\bar x)^2 =98775

\sum_{i=1}^n (y_i -\bar y)^2 =19.4

\bar x =26.36

\bar y =0.5188

n= 40  represent the sample size

\sum_{i=1}^n (x_i -\bar x)(y_i -\bar y) =796.94

The total sum of squares is given by this formula:

SST= \sum_{i=1}^n (y_i -\bar y)^2 =19.4

And from the formulas for a simple regression, we need to calculate the slope for the regression like this:

m=\frac{\sum_{i=1}^n (x_i -\bar x)(y_i -\bar y)}{\sum_{i=1}^n (x_i -\bar x)^2}

And if we replace the values given we have:

m=\frac{796.94}{98775}=0.008068

We have another useful equation in order to find the sum of squares for the regression, given by:

SSR=m* \sum_{i=1}^n (x_i -\bar x)(y_i -\bar y)=0.008068*796.94=6.430

And we know this equivalence:

SST= SSR+SSE

And solving for the sum of squares for the error we have:

SSE=SST-SSR=19.4-6.430=12.97

So then we have the final solutions:

The error sum of squares is SSE=12.97

The regression sum of squares is SSR=6.430

The total sum of squares is SST=19.4

6 0
3 years ago
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