Find the distance from the point (1,4) to the line y = 1/3x - 3.
A) 4 units
B) 20 units
C) 4 units
OD) 20 units

Answer:

-1, 5

Step-by-step explanation:

no really explanation, but its a graph and when u have agraph x goes before y. and the x in the middle of it is what its talking about and u can see the middle is on a 5 and a -1

Answer:

m<W = 103°

Step-by-step explanation:

First, find the value of x

m<W + m<Y = 180° (opposite angles in a cyclic quadrilateral are supplementary)

11x - 29 + 6x + 5 = 180 (substitution)

Add like terms

17x - 24 = 180

Add 24 to both sides

17x = 180 + 24

17x = 204

Divide both sides by 17

17x/17 = 204/17

x = 12

Find m<W:

m<W = 11x - 29

Plug in the value of x

m<W = 11(12) - 29 = 132 - 29

m<W = 103°

Area of cylinder = curved area + 2 x base circle

Circles = 2 x π(8)² = 128π cm²

Curved area = circumference of circle x height of cylinder

Circumference of circle = 2πr = 2π(8) = 16π cm

Curved area = 16π x 4 = 64π cm²

Total surface area = 128π + 64π = 192π cm² = 603.19cm² (5sf)

Hi there! Using one of the logarithmic property below:

[tex] \large \boxed{ log_{a}(b) = n \longrightarrow {a}^{n} = b}[/tex]

From the equation:

[tex] \large{ log_{2}(y) = x + 7}[/tex]

Therefore,

[tex] \large{ {2}^{x + 7} = y} \\ \large{y = {2}^{x + 7} }[/tex]

Answer

Answer:

24x-48y

hope this helps

have a good day :)

Step-by-step explanation:

Step-by-step explanation:

−12(−2x+4y) = 24x - 48y

______

Answer:

[tex]34 \leq x \leq 38[/tex]

Step-by-step explanation:

34 inches minimum

This means that x has to be at least 34, that is:

[tex]x \geq 34[/tex]

38 inches maximum

This means that x can be at most 38, that is:

[tex]x \leq 38[/tex]

Which inequality represents the required height?

The intersection of 34 minimum and 38 maximum is:

[tex]34 \leq x \leq 38[/tex]

Answer:

[tex]150 = 150.00[/tex]

Answer:

20

Step-by-step explanation:

25*4/5=5*4=20

Answer:

20

Step-by-step explanation:

25 x 4/5=100/5=20

Answer:

a) This is the p-value of Z when X = A subtracted by the p-value of Z when X = B.

b) P-value of Z when X = 76 subtracted by the p-value of X = 68.

c) Because the underlying distribution(pulse rates of females) is normal.

Step-by-step explanation:

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

Central Limit Theorem

The Central Limit Theorem establishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

In this question:

Mean [tex]\mu[/tex], standard deviation [tex]\sigma[/tex].

standard deviation of beats per minute.

a. If 1 adult female is randomly​ selected, find the probability that her pulse rate is between A beats per minute and B beats per minute.

This is the p-value of Z when X = A subtracted by the p-value of Z when X = B.

b. If 4 adult females are selected, find the probability that they have pulse rates with a mean between 68 beats per minute and 76 beats per minute.

Sample of 4 means that we have [tex]n = 4, s = \frac{\sigma}{\sqrt{4}} = 0.5\sigma[/tex]

The formula for the z-score is:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{X - \mu}{0.5\sigma}[/tex]

[tex]Z = 2\frac{X - \mu}{\sigma}[/tex]

This probability is the p-value of Z when X = 76 subtracted by the p-value of X = 68.

c. Why can the normal distribution be used in heartbeat even the sample side does not exceed 30?

Because the underlying distribution(pulse rates of females) is normal.

Answer:

Step-by-step explanation:

Let's simplify step-by-step.

(k+1)(x2)−8kx+3k+5

Distribute:

=(k)(x2)+(1)(x2)+−8kx+3k+5

=kx2+x2+−8kx+3k+5

Answer:

=kx2−8kx+x2+3k+5

Answer:

a

Step-by-step explanation:

Answer:

Area of parallelogram = 63 square units

Step-by-step explanation:

In the given parallelogram:

Height of parallelogram = 9 units

Base of parallelogram = 7 units

Find:

Area of parallelogram

Computation:

Using area of parallelogram;

Area of parallelogram = Height of parallelogram x Base of parallelogram

Area of parallelogram = 9 x 7

Area of parallelogram = 63 square units

Answer:

0.0001292

Step-by-step explanation:

a raised to the power -m is 1/a raised to power m

Answer:

80.56

Step-by-step explanation:

To find the rectangle area you just multiply its length by its width:

17 * 4 = 68

You have to sum two semicircles on top of that. Since it is 2 semicircles you can just calculate one circle. Using the circle area formula:  [tex]\pi*r^2[/tex]

Since the radius (r) is 2 and [tex]\pi[/tex] is 3.14, you have the following equation:

A = 3.14 * 2² ==>      A = 3.14 * 4   ==>   A = 12.56     (A is Area)

Sum the rectangle's area with the circle's area:

12.56 + 68 = 80.56

And vuoila! there's your answer.

Answer:

Step-by-step explanation:

The coordinates for point A is (8,120)

===========================================================

Work Shown:

Use the tangent ratio

tan(angle) = opposite/adjacent

tan(B) = AC/AB

tan(61) = AC/1

tan(61) = AC

AC = tan(61)

AC = 1.80404775527142

AC = 1.8

The river is about 1.8 miles wide between points A and C.

Make sure your calculator is in degree mode. One way to check is to type in tan(45) and you should get 1.

Answer:

-(-9) is 9

Step-by-step explanation:

-(-9)

(when there are two negatives multiplyed with eachother, the product will be postive)

+ 9

+ 9  = 9

- ( - 9 ) =

( - 1 ) × ( - 1 × 9 ) =

( - 1 ) × ( - 1 ) × ( 9 ) =

( + 1 ) × 9 =

1 × 9 =

9

Answer:

The answer is the first day

Answer:

Im fairly sure it is 45ft^3

Answer:

[tex]45ft^{2}[/tex]

Step-by-step explanation:

V=L*W*H

Answer:

B

Step-by-step explanation:

Depreciates 14% per year so 100% - 14% is 86% or 0.86. Formula is (principal)(rate)^ years

Answer:

I think A and B

Step-by-step explanation:

• A statistical question is a question that has more than one possible answer ( and can be answered by collecting data) where there will be variability in the data. for instance an example would be " How old are the students in this room?"

• However a non statical question has only one answer for instance "How old are you?"

both a and b dont have specific answers because it's not talking about a specific high school students or a specific soccer team. i would guess those are correct, but using the information from above you can also see what you think! hope this helps :)

Answer:

skateworld

Step-by-step explanation:

26x3+50=128 aka skate worlds price

26x5=130 aka roller land price

Antionio should use skateworld and he would save 2$

Answer: SkateWorld. He saves $2

Step-by-step explanation:

SkateWorld:

21 *3 =63

5*3=15

63+15=78

78+50= 128

Roller Land:

21*5= 105

5*5=25

105+25=130

130-128= 2

Answer:

The midpoint: (8,9.5)

Step-by-step explanation:

((9+7)/2,(11+8)/2))

Answer:22

Step-by-step explanation:

The complete sentence is

The price with coupon B is $10 less than the price with coupon A.

It depends on the original price of the S41 shoes.

Coupon A offers a 15% discount on S41 shoes, while Coupon B provides a $10 rebate on S41 shoes.

Let's assume the original price of the S41 shoes is P dollars.

Using Coupon A, the discounted price would be 85% of the original price = (0.85 * P) dollars.

Using Coupon B, the price after the $10 rebate =  (P - $10) dollars.

Now, compare (0.85 * P) with (P - $10).

simplify the expression (0.85 * P) < (P - $10) as

0.85P < P - $10

0.85P - P < - $10

-0.15P < - $10

P > (- $10) / (-0.15)  

P > $66.67

Therefore, if the original price of the S41 shoes is greater than $66.67, Coupon A (15% off) will give a lower price. If the original price is lower than $66.67, Coupon B ($10 rebate) will give a lower price.

Learn more about Inequality here:

https://brainly.com/question/20383699

#SPJ4

Answer:earthy

Step-by-step explanation:vuinh

Answer:

2) <TWN and <SWM

Step-by-step explanation:

2) <TWN and <SWM

Answer:

(2)

Step-by-step explanation:

This is because they are both vertical to one another!

Hope this helps!

Given:

The expression is:

[tex]\dfrac{1-\cos 2x}{1+\cos 2x}[/tex]

To find:

The integration of the given expression.

Solution:

We need to find the integration of [tex]\dfrac{1-\cos 2x}{1+\cos 2x}[/tex].

Let us consider,

[tex]I=\int \dfrac{1-\cos 2x}{1+\cos 2x}dx[/tex]

[tex]I=\int \dfrac{2\sin^2x}{2\cos^2x}dx[/tex]         [tex][\because 1+\cos 2x=2\cos^2x,1-\cos 2x=2\sin^2x][/tex]

[tex]I=\int \dfrac{\sin^2x}{\cos^2x}dx[/tex]

[tex]I=\int \tan^2xdx[/tex]                      [tex]\left[\because \tan \theta =\dfrac{\sin \theta}{\cos \theta}\right][/tex]

It can be written as:

[tex]I=\int (\sec^2x-1)dx[/tex]             [tex][\because 1+\tan^2 \theta =\sec^2 \theta][/tex]

[tex]I=\int \sec^2xdx-\int 1dx[/tex]

[tex]I=\tan x-x+C[/tex]

Therefore, the integration of [tex]\dfrac{1-\cos 2x}{1+\cos 2x}[/tex] is [tex]I=\tan x-x+C[/tex].