Find the distance from the point (3, -4, 2) to the a. xy-plane b. yz-plane c. xz-plane

Answer:

-35 and 7

Step-by-step explanation:

7 - 35 = -28

35 has a (-) sign, and 7 has a (+) sign

Addition can be defined as the process of adding two numbers. The two integers with different signs that have a sum of -28 are -29 and 1.

Addition can be defined as the process of adding two numbers such that the result is the combined value of the two numbers.

An integer is a number that can be written without using a fractional component.

Given that the two integers with different signs have a sum of -28. Therefore, we can write,

Hence, the two integers with different signs that have a sum of -28 are -29 and 1.

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Answer:

Step-by-step explanation:

Ratio 4:5 means:

width: W = 4x

length: L = 5x

Area of rectangle:  A = W×L

Therefore:

              500 = 4x×5x

               500 = 20x²

               50 = 2x²

                x² = 25

                x = 5

W = 4×5 = 20 cm

L = 5×5 = 25 cm

Answer:

I think that it's 27

Step-by-step explanation:

Because I think that exterior angles cannot be "vertical"

Answer:

Hi Pam

Step-by-step explanation:

Using this mean number of calories, we can best predict that 25% of all cereals have more than this number of calories per serving, and 25% of all cereals have fewer than this number of calories per serving. To find the percent of all servings of cereal that have between 172 and 197 calories, we would use the z-score formula. Z = (x-mean)/standard deviation, where x is the number of calories (172 or 197).

The population standard deviation can be found using the formula s = sqrt[ (1/n) * (sum of (x-mean)^2)], where n is the sample size (30) and x is the number of calories for each cereal box.

Finally, to find the number of standard deviations above the mean that the third quartile is, we would use the formula
z = (Q3 - mean)/standard deviation, where Q3 is the third quartile.

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The required, in 2007 the price per gallon was 7b more than the price of a gallon of fuel in the year 2000. Where b is the inflation factor.

The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.

Here,
Let 'a' be the cost per gallon of fuel in the year 2000, and 'b' be the inflation rate per year. If the rate of inflation is constant then
After 7 year inflation = 7b
Cost of fuel in 2007 = a + 7b

Now,
according to the question
Change in cost of fuel
= cost in 2007 - cost in 2000
= a + 7b - a
= 7b

Thus, the required, in 2007 the price per gallon was 7b more than the price of a gallon of fuel in the year 2000. Where b is the inflation factor.

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Answer:

Step-by-step explanation:

The three ways to write a ratio is:

8/4

8 to 4

8:4

The ratio in simpliest form is 2/1

You would divide each "side" by 4

Answer:

Some of the most lucrative jobs are all about math. Most engineering fields are all about sharp math skills, whether it’s civil and mechanical or software engineering. Working in finance also obviously involves a lot of math, and what better way to make money than working in the field that’s all about money? You can also become a statistician or actuary; it’s not easy to find good statisticians, despite the need for them. If you want to earn good money, then you do need good math skills.Then again, you could use math in life anyway.

Step-by-step explanation:

The complets table of values for the function rule

x   1    2    4   6

y  22  18   10  2

From the question, we have the following parameters that can be used in our computation:

y = 26 - 4x

The missing y values are at x = 1, 2, 4 and x = 6

Substitute the known values in the above equation, so, we have the following representation

y = 26 - 4(1) = 22

y = 26 - 4(2) = 18

y = 26 - 4(3) = 10

y = 26 - 4(6) = 2

So, the missing values are 22, 18. 10 and 2

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The predicted number of adults in Oak City whose main source of news is newspapers or the radio is 85

To predict the number of adults in Oak City whose main source of news is newspapers or the radio, we need to add the number of adults who answered "Newspapers" to the number of adults who answered "Radio".

According to the sample data

Number of adults who answered "Newspapers": 64

Number of adults who answered "Radio": 21

Therefore, the predicted number of adults in Oak City whose main source of news is newspapers or the radio we have to use the addition

64 + 21 = 85

Rounding this answer to the nearest whole number, we get

85 ≈ 85

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The given question is incomplete, the complete question is:

There are 44,000 adults living in Oak City. In examining attitudes toward the news, a research group asked a random sample of Oak City adults "What is your main source of news?" The results are shown below. Main Source of News Newspapers Number of Adults 64 Internet 80 Television 126 Radio 21 Other 40 Based on the sample, predict the number of adults in Oak City whose main source of news is newspapers or the radio. Round your answer to the nearest whole number.

Answer:

2 1/2 inches

Step-by-step explanation:

(See attachment below)

Answer: I got you

Step-by-step explanation: A study that is too large will waste scarce resources and could expose more participants than necessary to any related risk. Thus an appropriate determination of the sample size used in a study is a crucial step in the design of a study.

Hope this help answer your question

Answer: A dilation produces an image similar to the original figure. So, the blue polygon is a dilation of the red figure.

Step-by-step explanation:

Answer:

- 2 x - 6 = 12  x = -9

Step-by-step explanation:

The proportion of 12-ounce bags that contain more than the advertised 12 ounces of chips is 0.

The proportion of 12-ounce bags that contain more than the advertised 12 ounces of chips can be determined by finding the area under the normal distribution curve to the right of the mean.

To find this proportion, we can use the z-score formula:
z = (x - mean) / standard deviation

In this case, we want to find the proportion of bags that contain more than 12 ounces, so x = 12 ounces.

z = (12 - 12.5) / 0.2
z = -2.5 / 0.2
z = -12.5

Next, we need to find the cumulative probability associated with the z-score. We can use a standard normal distribution table or a calculator to find this probability.

Looking up the z-score of -12.5 in the table or using a calculator, we find that the cumulative probability is approximately 0.

Therefore, the proportion of 12-ounce bags that contain more than the advertised 12 ounces of chips is 0.

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Answer:

y = 4x - 4

Step-by-step explanation:

Slope intercept follows the form y = mx + b

m represents the slope

b represents the y intercept

To find the slope of a table you can find the constant change in y over the constant change in x. The y values 0, 4, 8, 12 are increasing by 4 every point meaning the change in y is 4. The x values 1, 2, 3, 4 are increasing by 1 every point meaning the change in x is 1. Making the slope 4/1 or just 4.

Now use what you know: y = 4x + b to find b, we can use any of the coordinate points to substitute. I'm going to use point (1,0) where 1 is the x value and 0 is the y value.

y = 4x + b

0 = 4(1) + b

Solve for b

b = -4

:)

In a multiple regression model, the variance of the error term e is assumed to be the same for all values of the independent variable. Therefore, the correct option is C) the same for all values of the independent variable.

In multiple regression, we use several independent variables to predict the values of the dependent variable. The model estimates the relationship between the independent variables and the dependent variable by calculating the coefficients of the independent variables.

The error term e represents the difference between the predicted value of the dependent variable and the actual value of the dependent variable.

The assumption of constant variance of the error term e is known as homoscedasticity. It means that the variance of the errors is the same for all levels of the independent variables.

This assumption is important because, if the errors have different variances across the levels of the independent variable, the model may not accurately capture the relationship between the independent variables and the dependent variable, leading to biased and unreliable results. so, the correct answer is C).

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A good approximation for g(x) when x is close to 4.8. The actual sum S exists in the interval (0.341476, 1.341476).

We can use the following formula to calculate the coefficient of the fourth degree term in the Taylor polynomial for

f(x) = sin(4x) centered at x = 0. The coefficient of x⁴ in the Maclaurin series expansion of sin x is given by:

g(4)(0) / 4! = cos 4 x / 4! = 1 / 4! = 1 / 24

Thus, the coefficient of the fourth-degree term in the Taylor polynomial for

f(x) = sin(4x) centered at x = 0 is 1/24.

A 4th degree Taylor polynomial for sin(x) centered at x = 3π/2 is given by:

T4(x) = sin(3π/2) + cos(3π/2)(x - 3π/2) - sin(3π/2)(x - 3π/2)² / 2 - cos(3π/2)(x - 3π/2)³ / 6 + sin(3π/2)(x - 3π/2)⁴ / 24

= -1 + 0(x - 3π/2) + 1(x - 3π/2)² / 2 + 0(x - 3π/2)³ / 6 - 1(x - 3π/2)⁴ / 24= -1 + (x - 3π/2)² / 2 - (x - 3π/2)⁴ / 24.

Using this polynomial, we can approximate g(4.8) as follows:

g(4.8) ≈ T4(4.8) = -1 + (4.8 - 3π/2)² / 2 - (4.8 - 3π/2)⁴ / 24 ≈ -1 + 2.7625 - 0.0136473 ≈ 1.74885

Since sin(x) and g(x) differ only by the presence of terms that have even powers of x, a 4th degree Taylor polynomial for sin(x) centered at x = 3π/2 is a good approximation for g(x) when x is close to 4.8.

A partial sum of the series: Σ(-1)²ⁿ⁺¹ / (2n+1)!

when x = 1 is given by:

S5 = Σ(-1)²ⁿ⁺¹ / (2n+1)! for n = 0 to 5≈ 0.841476

Therefore, the actual sum S of this series exists in the interval

|S - S5| ≤ |R5|

where R5 is the remainder term for the series.

By the Lagrange form of the remainder theorem, we know that:

|R5| ≤ (|x - 1|⁶ / 6!)

for some x between 0 and 1.

Thus, an interval for which the actual sum S exists is given by:

|S - S5| ≤ (1 / 720)

For this interval, we know that:

|S - S5| ≤ (1 / 720) < 0.5

Hence, we can conclude that the actual sum S exists in the interval (0.341476, 1.341476).

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Answer:

12.75feet (12¾)

Step-by-step explanation:

7t+1+5t+8=162feet

12t+9=162feet

12t=162-9

=153

t = 153÷9

=12.75feet (12¾feet)

The inequality that represents relationship the number of video games of Phillip and Emily is 18 + r < 30.

What are types of symbols to connect two expressions?

There are two types symbols that connect two expressions. One is known as equal sign and another one is inequality. There are various symbol under inequality and they are less than, greater than, less than or equal, greater than or equal.

Given that Phillip has 18 video games. Emily has r video games.

The number of video games that Phillip and Emily have is 18 + r.

Also given that together, Phillip and Emily have a combined total of less than 30 video games.

Thus 18 + r < 30

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Answer:

120

Step-by-step explanation:

6!=1x2x3x4x5x6

3!=1.2.3

6(x-2) > 15

6x - 12 > 15

6x > 27

x > 27/6

Hope it helps!

Answer:

x>4.5

Step-by-step explanation:

6(x-2)>15

We do this is as if it were an equation:

6(x-2)>15

Expand the brackets:

6x-12>15

Add 12 to both sides:

6x-12+12>15+12

Simplify:

6x>37

Now we divide both sides by 6:

6x÷6>37÷6

x > 4.5

If we put 5 into the original equation as it is more than 4.5, we get:

6(5-2)>15

We can simplify the brackets or expand first:

Simplifying the brackets first:

6(3)>15

18>15 ✅

Expanding first:

6(5-2)>15

30-12>15

18>15 ✅

(a) The frequency distribution table is shown below.

(b) The value of Class width = 7, the midpoint of class 18-27 = 22.5 and the lower boundary = 18

(c) The frequency polygons is drawn below.

Speed of 33 cars are:

27, 23, 22, 38, 43, 24, 35, 26, 28, 18, 20, 25, 23, 22, 52, 31, 30, 41, 45, 29, 27, 43, 29, 28, 27, 25, 29, 28, 24, 37, 28, 29, 18

(a)

Lowest value is: 18

Highest value is: 45

So, classifying them into groups:

Let us assume the groups are: 18-27, 27-36, 36-45

So, x (Speed) --------- frequency

       18-27 -------------- 12

       27-36 ------------- 14

       36-45 ------------- 7

(b)

Class width = 27-18=7

The midpoint of class 18-27 = 22.5

Lower boundary = 18

(c) The frequency polygons in drawn below.

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Answer: -24x^2+28x

Step-by-step explanation: -4x*6x-(-4x)*7 to -24x^2+28x

Answer:

you got this I believe in u and your talents

Step-by-step explanation

JESUS LOVES YOU BRO

Answer:

5, -28, 10.4, -.875, 0, 8003

Step-by-step explanation:

Answer:

Step-by-step explanation:

1. 13/15

2.17/15

3.15/13

4.

5.

To represent decimal values ranging from 0 to 12,500, we need 14 bits.

To determine the number of bits needed to represent decimal values ranging from 0 to 12,500, we need to find the smallest number of bits that can represent the largest value in this range, which is 12,500.

The binary representation of a decimal number requires log base 2 of the decimal number of bits. In this case, we can calculate log base 2 of 12,500 to find the minimum number of bits needed.

log2(12,500) ≈ 13.60

Since we can't have a fraction of a bit, we round up to the nearest whole number. Therefore, we need at least 14 bits to represent values ranging from 0 to 12,500.

Using 14 bits, we can represent decimal values from 0 to (2^14 - 1), which is 0 to 16,383. This range covers the values 0 to 12,500, fulfilling the requirement.

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