Mathematics College

What’s the correct answer for this?

Answers

Answer 1

Answer:

c) √137

Step-by-step explanation:

Explanation:-

The distance between two points formula

[tex]\sqrt{(x_{2}-x_{1} )^{2} + (y_{2} -y_{1} )^{2} }[/tex]

Given points are R (3,7) and S(-1,-4)

[tex]RS = \sqrt{(-1- (3 )^{2} + (-4 -7 )^{2} }[/tex]

[tex]RS = \sqrt{(-4 )^{2} + (-11 )^{2} }[/tex]

[tex]RS = \sqrt{16 + 121 }[/tex]

RS = √137

The distance between the two points are RS = √137

Related Questions

You are given the five number summary from a set of data as follows: Minimum=5, Q1=7, Median=8, Q3=11.5 and Maximum=15. Explain how to find the difference between the Range and the Interquartile Range. Find this difference.

Answers

Answer:

a) Range =10

b) inter quartile range = 4.5

Step-by-step explanation:

Explanation:-

Given minimum =5

Median=8

upper quartile (Q3) =11.5

Lower quartile range= 7

Maximum=15

a) Range = maximum value -minimum value

= 15 -5

= 10

b) Interquartile Range = median of upper half - median of lower half

= Q₃- Q₁

= 11.5 - 7

= 4.5

Given y = 4x + 3, what effect does changing the equation to y = 4x - 3 have on the y-intercept?
A)
graph becomes steeper
B)
no change to y-intercept
C)
graph moves down 3 units
D)
graph moves down 6 units

Answers

Answer:

graph moves down 6 units

Step-by-step explanation:

Y intercept of a line is point on y axis where the line crosses the y-axis.

Since the line is of the slope intercept form y = mx+ c

where m is slope of line and c is y intercept

_________________________________________________

Equation of old line : y = 4x + 3

then for equation y = 4x + 3

m: 4 and c = 3

Thus y intercept is +3 unit above the X axis

_________________________________________________

Equation of new line : y = 4x - 3

Similarly based on above explanation

m: 4 and c = -3

Thus y intercept is +3 unit below the X axis.

Thus we can see that y intercept has moved downward

Lets calculate no. of units it moved downward

Distance between them is 3 - (-3) = 6 unit

Thus graph moved 6 units downwards.

Steepness of graph depends on slope of line. The slope is 4 for both the lines and hence there is no change in steepness.

Thus correct answer is graph moves down 6 units

Just give me the answer no expiation.

Answers

Answer:

b. 424

Step-by-step explanation:

it gives the equation N=41b+137

N=41(7)+137

N=424

hus, D satisfying (ABC)DequalsI exists. Why does the expression for D found above also satisfy D(ABC)equalsI, thereby showing that ABC is invertible? Select the correct choice below and, if necessary, fill in the answer box within your choice. A. After substituting the expression for D, the product DABC simplifies to I by repeated application of the associative property and the definition of inverse matrices. B. After substituting the expression for D, left multiplying the product by nothing results in the equation IequalsABCD. C. After substituting the expression for D, taking the inverse of both sides of the equation results in the equation IequalsABCD. D. After substituting the expression for D, right multiplying the pr

Answers

Complete Question

The complete question is shown on the first uploaded image

Answer:

First Question

Option A is correct

Second Question

Option C is correct

Third Question

[tex]D = A^{-1} * B^{-1} * C^{-1}[/tex]

Fourth Question

So substituting for D in (ABC) D = I

[tex](ABC) * A^{-1} * B^{-1} * C^{-1} = I[/tex]

[tex]I = I[/tex]

This proof that ABC is invertible

Step-by-step explanation:

From the question we are told that

A , B and C are invertible which means that [tex]A^{-1} , B^{-1}, C^{-1}[/tex] exist

Now

From the question

(ABC) D = I

Where I is an identity matrix

Now when we multiply both sides by [tex]A^{-1}[/tex] we have

[tex]A^{-1} A BCD = A^{-1} * I[/tex]

[tex]IBCD = A^{-1}[/tex]

Now when we multiply both sides by [tex]B^{-1}[/tex] we have

[tex]B^{-1 } *I BCD = A^{-1} * B^{-1}[/tex]

[tex]I CD = A^{-1} * B^{-1}[/tex]

Now when we multiply both sides by [tex]C^{-1}[/tex] we have

[tex]C^{-1} * I CD = A^{-1} * B^{-1} * C^{-1}[/tex]

[tex]I D = A^{-1} * B^{-1} * C^{-1}[/tex]

[tex]D = A^{-1} * B^{-1} * C^{-1}[/tex]

So substituting for D in the above equation

[tex](ABC) * A^{-1} * B^{-1} * C^{-1} = I[/tex]

[tex]I = I[/tex]

This proof that ABC is invertible

If f(x) = 4x + 12 is graphed on a coordinate plane, what is the y-intercept of the graph?
04
08
O 12
0 16

Answers

(0,12). The y-intercept is shown in the equation as +12.

If b (middle term) is negative and c (last term is positive) then what do you know about the two factors? ex. 2x^2-7x+6

Answers

Answer:

signs of the constants in the binomial factors are negative

Step-by-step explanation:

Assuming the first term (a) is positive, the fact that c is negative means the constants in the binomial factors have the same sign. The negative b means that sign is negative.

2x^2 -7x +6 = (x -2)(2x -3)

Further comment

c is the product of the constants in the binomial factors so will be positive when both those constants have the same sign.

b is the sum of the constants in the binomial factors. If both factors have the same sign (c > 0), then those constants have the same sign as b.

In this analysis, "a" is assumed to be positive. If it is not, then the same analysis can be done after reversing all of the signs.

Natalia is moving into a new house. All together, her furniture weighs 3,204 pounds. If it takes 8 trucks to carry all of Natalia's furniture, what is the average weight load on each truck? A. 640.8 pounds per truck B. 801 pounds per truck C. 1,602 pounds per truck D. 400.5 pounds per truck

Answers

Answer:

Step-by-step explanation:

The average can be found by dividing the number of pieces (or trucks in this case) by the total, so 3204/8=400.5 pounds, or D as our answer

Pwease hewp me pwease shanks lob u

Answers

Answer:

a = 3

b = 12

c = 13

Step-by-step explanation:

[tex] \frac{ {2}^{5}. {8}^{4} }{16} = \frac{ {2}^{5}. { ({2}^{a}) }^{4} }{ {2}^{4} } = \frac{ {2}^{5}. { {2}^{b} } }{ {2}^{4} } = {2}^{c} \\ \\ \frac{ {2}^{5}. {8}^{4} }{16} = \frac{ {2}^{5}. { ({2}^{a}) }^{4} }{ {2}^{4} } \\ \\ \frac{ {2}^{5}. {( {2}^{3}) }^{4} }{ {2}^{4} } = \frac{ {2}^{5}. { ({2}^{a}) }^{4} }{ {2}^{4} } \\ {( {2}^{3}) }^{4} = { ({2}^{a}) }^{4} \\ {2}^{3} = {2}^{a} \\ \huge \red{ \boxed{a = 3}} \\ \\ \frac{ {2}^{5}. {8}^{4} }{16} = \frac{ {2}^{5}. { {2}^{b} } }{ {2}^{4} } \\ \frac{ {2}^{5}. { ({2}^{3} )}^{4} }{ {2}^{4} } = \frac{ {2}^{5}. { {2}^{b} } }{ {2}^{4} } \\ { ({2}^{3} )}^{4} = { {2}^{b} } \\ {2}^{12} = { {2}^{b} } \\ \huge \purple{ \boxed{b = 12}} \\ \\ \frac{ {2}^{5}. {8}^{4} }{16} = {2}^{c} \\ \frac{ 16 \times 2. {( {2}^{3}) }^{4} }{16} = {2}^{c} \\ 2 \times {2}^{12} = {2}^{c} \\ {2}^{13} = {2}^{c} \\\huge \orange{ \boxed{ c = 13}}[/tex]

What is the surface area of the rectangular pyramid? m2 18 point for how ever awncers this first

Answers

Answer:

When all side faces are same

surface area = lw + 1/2 × perimeter × slant height.

When the side faces are different

surface area = base area + lateral area

Step-by-step explanation:

The question you ask is the formula one can use to calculate the surface area of a rectangular pyramid.

The base of a rectangular pyramid is rectangular. The picture below shows how a rectangular pyramid looks like .

The surface area of the rectangular pyramid includes the area of the base and areas of all the triangular faces. This simply implies the area of the rectangular base and the area of each triangular faces. Mathematically, it can be represented below.

The base area(rectangle) = length × width = lw

Area of a triangle = 1/2 × base × height = 1/2bh

Therefore, if all the faces of the triangle are the same(regular pyramid) the total surface area will be

surface area = lw + 1/2 × perimeter × slant height.

Note the triangular faces are 4 in numbers.

If all the sides of the triangle are different the surface are will be

surface area = base area + lateral area

We have to add the triangular faces individually for an irregular pyramid.

p(x) is a polynomial p(x) divided by (x-9) has a remainder of 1. P(x) divided by (x-4) has a remainder of 7. P(x) divided by (x+4) has a remainder of 0. P(x) divided by (x+9) has a remainder of -5

P(4)=?

P(-9)=?

Answers

Answer:

[tex]P(4)=7\,,\,P(-9)=-5[/tex]

Step-by-step explanation:

Given: P(x) has a remainder 1 when divided by [tex]x-9[/tex], P(x) has a remainder 7 when divided by [tex]x-4[/tex], P(x) has a remainder 0 when divided by [tex]x+4[/tex] and P(x) has a remainder -5 when divided by [tex]x+9[/tex]

To find: [tex]P(4),P(-9)[/tex]

Solution:

According to remainder theorem, when a polynomial [tex]P(x)[/tex] is divided by a polynomial [tex]x-a[/tex], the remainder obtained is equal to [tex]P(a)[/tex].

As P(x) has a remainder 7 when divided by [tex]x-4[/tex],

[tex]P(4)=7[/tex]

As P(x) has a remainder -5 when divided by [tex]x+9[/tex],

[tex]P(-9)=-5[/tex]

bo and Luke are driving to uncle Jesse's house their car at the generally can go nearly 208 miles on 13 gallons of gas they only have 3 gallons of gas left in the tank but they are 42 miles away from uncle Jesse's house how far can the generally go on 3 gallons of gas in its tank

Answers

Answer:

48 miles

Step-by-step explanation:

What we must do is calculate the car's performance, that is, the number of miles per gallon of gas, like this:

208/13 = 16

which means that for each gallon of gas you can travel a total of 16 miles.

They tell us they have 3 gallons of gasoline left so they can go:

16 * 3 = 48

If your goal is 42 miles away, that means you can make it and you still have 6 more miles to go.

What is the volume of the cone in the diagram
A. 150 pi cubic units
B. 200 pi cubic units
C. 250 pi cubic units
D. 300 pi cubic units

Answers

Answer:

150 pi cubic units

Step-by-step explanation:

Answer:

Substituting the values r = 5 and h = 18 in the formula V=1/3×π⁢r^2⁢h, you get V=1/3×π×52×18 = 150π cubic units.

Step-by-step explanation:

What is the quotient when the sum of 13 and 11 is divided by the difference of 13 and 11

Answers

Answer:

Step-by-step explanation:

[tex]\dfrac{13+11}{13-11}=\dfrac{24}{2}=12[/tex]

Hope this helps!

12....................

a green and a red die are tossed. what is the probability that a 4 shows
on the green die and a 5 shows on the red die.

Answers

Answer:

1/36

Step-by-step explanation:

The probability of getting green is 1/6

and the probability of getting red is 1/6.

Now,we want to know the probability of getting red and green. In probability,the word 'and' means times.

So it would be;

1/6 times 1/6

= 1/36

The number of new cars (c) a ship carries can’t exceed 975

Answers

Answer:

That may or may not be true, depending one the ship size.

Step-by-step explanation:

'Can't really give a proper answer, to somethings that's not a q. *shrug*

Human visual inspection of solder joints on printed circuit boards can be very subjective. Part of the problem stems from the numerous types of solder defects (e.g., pad non-wetting, knee visibility, voids) and even the degree to which a joint possesses one or more of these defects. Consequently, even highly trained inspectors can disagree on the disposition of a particular joint. In one batch of 10,000 joints, inspector A found742that were judged defective, inspector B found745such joints, and1145of the joints were judged defective by at least one of the inspectors. Suppose that one of the 10,000 joints is randomly selected.

(a) What is the probability that the selected joint was judged to be defective by neither of the two inspectors? (Enter your answer to four decimal places.)

(b) What is the probability that the selected joint was judged to be defective by inspector B but not by inspector A? (Enter your answer to four decimal places.)

Answers

Answer:

The probability that the selected joint was judged to be defective by neither of the two inspectors is [tex]P(A' n B' ) = 0.8855[/tex]

The probability that the selected joint was judged to be defective by inspector B but not by inspector A is [tex]P(A' n B) =0.0403[/tex]

Step-by-step explanation:

From the question we are told that

The sample size is [tex]n_s = 10000[/tex]

The number of outcome for inspector A is [tex]n__{A}} = 742[/tex]

The number of outcome for inspector B is [tex]n__{B}} = 745[/tex]

The number of joints judged defective by both inspector is [tex]n(A u B) = 1145[/tex]

The the probability that the selected joint was judged to be defective by neither of the two inspectors is mathematically represented as

[tex]P(A' n B' ) = 1 - P(A u B)[/tex]

Now

[tex]P(A\ u \ B) = \frac{n(Au B)}{n_s }[/tex]

substituting values

[tex]P(A\ u \ B) = \frac{1145}{ 10 000 }[/tex]

[tex]P(A' n B' ) = 1 - \frac{1145}{10 000}[/tex]

[tex]P(A' n B' ) = 0.8855[/tex]

the probability that the selected joint was judged to be defective by inspector B but not by inspector A is mathematically represented as

[tex]P(A' n B) = P(A \ u \ B) -P(A)[/tex]

Now

[tex]P(A) = \frac{n__{A}}{n_s}[/tex]

substituting values

[tex]P(A) = \frac{742}{10 000}[/tex]

[tex]P(A' n B) = \frac{1145}{10 000} - \frac{742}{10 000}[/tex]

[tex]P(A' n B) =0.0403[/tex]

write the linear function if f(0)=5 and f(2)=35

Answers

Answer: y=15x+5

Step-by-step explanation:

Looking at what we are given, we can tell that the y-intercept is 5. To ge tthe slope, you use [tex]\frac{y_{2}-y_{1} }{x_{2} -x_{1} }[/tex]. With the slope , you get 15.

On each trial of a digit span memory task, the participant is asked to read aloud a string of random digits. The participant must then repeat the digits in the correct order. If the participant is successful, the length of the next string is increased by one. For instance, if the participant repeats four digits successfully, he will hear five random digits on the next trial. The participant's score is the longest string of digits he can successfully repeat.

A professor of cognitive psychology is interested in the number of digits successfully repeated on the digit span task among college students. She measures the number of digits successfully repeated for 49 randomly selected students. The professor knows that the distribution of scores is normal, but she does not know that the true average number of digits successfully repeated on the digit span task among college students is 7.06 digits with a standard deviation of 1.63 digits.

a. The expected value of the mean of the 49 randomly selected students, M, is:_____
b. The standard error of M is:______

Answers

Answer:

a) The expected value of the mean of the 49 randomly selected students, M, is 7.06 digits

The Standard error of the mean is 0.2328

Step-by-step explanation:

Explanation:-

Given sample size 'n' = 49

The Expected value of the mean of 49 randomly selected students

μₓ = μ =7.06 digits

The Standard error of the mean determined by

[tex]S.E = \frac{S.D}{\sqrt{n} }[/tex]

Given sample size 'n' = 49

The Standard deviation 'σ' = 1.63 digits

The Standard error

[tex]S.E = \frac{S.D}{\sqrt{n} }[/tex]

[tex]S.E = \frac{1.63}{\sqrt{49} } = 0.2328[/tex]

Final answer:-

a) The expected value of the mean of the 49 randomly selected students, M, is 7.06 digits