The formula y - y1 = m (x – X1) is the point-slope form of the equation of a line where m
is the slope of the line and (x, y) and (x1, y1) are points of the line. Solve the equation for
m.
m =
Find the slope of a line that includes the points (5, -1) and (6, 1).
m =

Answer:

0.06 %

Step-by-step explanation:

Answer:

11

Step-by-step explanation:

for each full cup of sugar, you need 3 one-third measuring cups.

we have 3 full cups so 3×3=9

and another 2 for the 2/3, 9+2=11

so a total of 11 scoops

The number of tiles required to completely cover the floor is approximately 1673 tiles

Let find the area of the floor . Therefore,

where

l = length

w = width

Therefore,

let's convert ft to inches.

9 ft = 108 inches

8 ft = 96 inches

area = 108 × 96

area = 10, 368 inches²

Number of tiles to completely cover the floor = 10368 / 6.2

Number of tiles to completely cover the floor = 1672.25806452

Number of tiles to completely cover the floor ≈ 1673 tiles

learn more on area here: https://brainly.com/question/11271820

SOLUTION:

Step 1:

In this question, we are given the following:

ABC~JKL with altitudes BX & KY. Find BX

a. 19.2

b. 21

c. 24.6

d. 28

Step 2:

From the question, we can see that using similar triangles:

ABC~JKL with altitudes BX & KY

Step 3:

Computing this, we have that:

cross-multiply, we have that:

The largest angle of the triangle is ∠C = 66°

A triangle is a plane figure or polygon with three sides and three angles.

A Triangle has three vertices and the sum of the interior angles add up to 180°

Let the Triangle be ΔABC , such that

∠A + ∠B + ∠C = 180°

The area of the triangle = ( 1/2 ) x Length x Base

For a right angle triangle

From the Pythagoras Theorem , The hypotenuse² = base² + height²

if a² + b² = c² , it is a right triangle

if a² + b² < c² , it is an obtuse triangle

if a² + b² > c² , it is an acute triangle

Given data ,

Let the triangle be represented as ΔABC

Let the Triangle be ΔABC , such that

∠A + ∠B + ∠C = 180°

Now , the measure of ∠A = measure of ∠B = x

And , the measure of ∠C = measure of ∠A + 9°

Substituting the values in the equation , we get

x + x + ( x + 9 ) = 180

On simplifying the equation , we get

3x + 9 = 180

Subtracting 9 on both sides of the equation , we get

3x = 171

Divide by 3 on both sides of the equation , we get

x = 57°

So , the measure of ∠A = 57°

Now , the measure of ∠C = 57 + 9 = 66°

Hence , the measure of ∠C of triangle is 66°

To learn more about triangles click :

https://brainly.com/question/16739377

#SPJ1

Answer:

area of rectangle=length ×breadth

area of rectangle=12yd×15yd

area of rectangle=180yd²

Answer:

Jocelyn's plane travelled 3650 miles.

Step-by-step explanation:

mph stands for miles per hour.

Let's set up an equation.

total miles = speed(hours)

Jocelyn's plane travelled 500 mph for 7.3 hours.

total miles = 500(7.3)

Multiply.

total miles = 3650

Jocelyn's plane travelled 3650 miles.

Hope this helps!

something is wrong with your question bc 690 plus 575 equals to 1265

16 is the number which is one-fifth of a number when one-fourth of that same number is 20.

As per the given data:

One-fourth of the number is resulted to 20.

Here we have to determine the result of one-fifth of the same number from the given options.

An expression for a portion of a whole is a fraction.

For any real numbers, the fractional component of x is defined.

Let the number be X.

One-fourth of a number is 20 which means:

Multiply the one-fourth fraction with an unknown number which results in the number 20.

\($\frac{1}{4}\)  (X) = 20

X = 20 × 4

X = 80

Now we have to determine that one-fifth of the same number.

Multiply the one-fifth fraction by 80.

We get:

= \($\frac{1}{5}\) (80)

= \($\frac{1}{5}\)   × 5 × 16

= 16

One-fifth of the number 80 is 16

Therefore Option (D) - 16 is the correct answer.

For more questions on fractions

https://brainly.com/question/4597974

#SPJ4

266.605 is the answer.

Step-by-step explanation:

70.6 + 74.02 + 121.985 = 266.605

Answer:

The minimum number of subjects needed is 385.

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of \(\pi\), and a confidence level of \(1-\alpha\), we have the following confidence interval of proportions.

\(\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}\)

In which

z is the z-score that has a p-value of \(1 - \frac{\alpha}{2}\).

The margin of error is:

\(M = z\sqrt{\frac{\pi(1-\pi)}{n}}\)

95% confidence level

So \(\alpha = 0.05\), z is the value of Z that has a p-value of \(1 - \frac{0.05}{2} = 0.975\), so \(Z = 1.96\).

95% confidence, within 5 percentage points, and a previous estimate is not known.

The sample size is n for which M = 0.05. We don't know the true proportion, so we use \(\pi = 0.5\)

Then

\(M = z\sqrt{\frac{\pi(1-\pi)}{n}}\)

\(0.05 = 1.96\sqrt{\frac{0.5*0.5}{n}}\)

\(0.05\sqrt{n} = 1.96*0.5\)

\(\sqrt{n} = \frac{1.96*0.5}{0.05}\)

\((\sqrt{n})^2 = (\frac{1.96*0.5}{0.05})^2\)

\(n = 384.16\)

Rounding up:

The minimum number of subjects needed is 385.

The computation has been done in Excel and has been attached in the image below:

A balance sheet is a summary of the financial positions of a person or an organization in financial accounting.

They are used, regardless of whether they are a sole proprietorship, a business partnership, a corporation, a private limited company, or another type of organization like the government or a not-for-profit entity.

Read more about balance sheet here:

https://brainly.com/question/1113933

#SPJ1

Answer:

D.Since m(x) = -(x + 4)(x-7), the zeros for m(x) are -4 and 7.

Step-by-step explanation:

Answer:

Step-by-step explanation:

So first you want to take the constants of -x^2 (which would be -1) and -28 and multiply them to get the product of 28.

Since the other constant of 11x is 11, you want to find 2 numbers whose sum give you 11 and whose product give you 28. That would be 4 and 7, because 4 + 7 = 11 and 4 * 7 = 28. But since you have -x^2 you will want to put a negative sign in front of one of your x variables and in front of 4 or 7, so that you still get 11x when you factor it out.

So you would set up the equation like this (-x+4)(x-7) = 0. To make it easier to find the values of x, you could just write it out as -x+4 = 0 and x-7 = 0. Than you solve for x in botn euqations.

Then you would find out that x = 4, 7.

Does this help?

Answer:

1. 12x

2. -7 + 12x

Step-by-step explanation:

1. 2(5x + x)

(multiply inside od parenthesis by outside)

10x + 2x

(add like terms)

12x

2. -7 + 3x + 9x

(add like terms)

-7 + 12x

Answer:

1. 12x

2. 12x-7

Step-by-step explanation:

1. distribute the 2 to both terms to get 10x+2x then add those together to get 12x    OR    add 5x to x to get 6x then distribute the (multiply by) 2 to get 12x

2. combine 3x and 9x to get 12x then write -7 to get 12x-7

Answer: $18.6

Step-by-step explanation: If we take a look at the sale off the shoes cost which is $43.4 and look at the sale amount (30%) which is 18 dollars and 60 cents the answer is: 18.6 or $18.6 off

Answer:

see explanation

Step-by-step explanation:

using the tangent ratio in the right triangle

tan A = \(\frac{opposite}{adjacent}\) = \(\frac{BC}{AB}\) = \(\frac{5}{11}\) , then

∠ A = \(tan^{-1}\) ( \(\frac{5}{11}\) ) ≈ 24.4° ( to 1 decimal place )

tan C = \(\frac{opposite}{adjacent}\) = \(\frac{AB}{BC}\) = \(\frac{11}{5}\) , then

∠ C = \(tan^{-1}\) ( \(\frac{11}{5}\) ) ≈ 65.6° ( to 1 decimal place )

using Pythagoras' identity in the right triangle

the square on the hypotenuse is equal to the sum of the squares on the other two sides, that is

AC² = AB² + BC² = 11² + 5² = 121 + 25 = 146 ( take square root of both sides )

AC = \(\sqrt{146}\) ≈ 12.08 ( to 2 decimal places )

Answer:

number 4 is 244   number 5 is 43

Step-by-step explanation:

order of operations is key here

4:6 to the power of 3 is first

216+7*4

now do 7*4

216+28

now simplify

244

5: this one is a little bit more tricky

do the stuff inside the parentheses first

4^2+1=17

3(17)-2^3

exponent next

3(17)-8

multiply next

51-8

43 is your answer

there you go

The answers to all parts is shown below.

An arithmetic value used to indicate amount is called a number. A number is a mathematical concept that is used for counting, measuring, and labelling. Thus, mathematics is built on numbers.

1. Real numbers are "closed" under addition Integers are "not closed" under division. Irrational numbers are "not closed" under multiplication. Rational numbers are "closed" under subtraction.

2. Rational numbers are "closed" under subtraction. If an operation is closed under a set of numbers that means that the result of the operation will always be within that same set of numbers.

3. The  closure property of multiplication holds for natural numbers, whole numbers, integers and rational numbers.

4. Rational numbers are closed under division as long as the division is not by zero. Irrational numbers are not closed under addition, subtraction, multiplication or division.

5. The whole number system and the polynomial system are nearly identical. Actually, there are not many differences between polynomial functions and our whole number system. We employ a base-10 (decimal) approach for counting. The above-mentioned polynomial is an example of a "base x" system.

6. The system of polynomials is almost the same with the system of whole numbers.

Learn more about Number here:

https://brainly.com/question/4262258

#SPJ1

Answer:

x = 3 and y = 2

Step-by-step explanation:

We can plug in the numbers. 2 x 3 is 6, and 3 x 2 is 6. 6 + 6 is 12. So, x is 3 and y is 2.

Answer:

5^3

Step-by-step explanation:

5*5*5

5 multiplied 3 times is

5^3

Answer:

5 ^ 3

Step-by-step explanation:

The Solution:

Given:

We are asked to find the volume of the above cone.

We shall use the formula below:

In this case,

Substituting these values, we get

Therefore, the correct answer is 2668.3 cubic meters

Answer:

A = 530.929158457

Answer:

Area = 706.8583471

Explanation:

The used law to measure the surface area of the sphere is

\(area \: = 4\pi \: {r}^{2} \)

Where (r) is the radius. The radius is half the diameter, so it will be half 13 which is equal to 7.5. By using this law:

\(4\pi \: {7.5}^{2} = 706.8583471\)

Answer:

10

Step-by-step explanation:

6^2=36

8^2=64

64+36=100

The square root of 100 is 10

The probability that a truck drives between 150 and 156 miles in a day is 0.0247. Using the standard normal distribution table, the required probability is calculated.

The formula for calculating the probability distribution for a random variable X, Z-score is calculated. I.e.,

Z = (X - μ)/σ

Where X - random variable; μ - mean; σ - standard deviation;

Then the probability is calculated by P(Z < x), using the values from the distribution table.

The given data has the mean μ = 120 and the standard deviation σ = 18

Z- score for X =150:

Z = (150 - 120)/18

   = 1.67

Z - score for X = 156:

Z = (156 - 120)/18

  = 2

So, the probability distribution over these scores is

P(150 < X < 156) = P(1.67 < Z < 2)

⇒ P(Z < 2) - P(Z < 1.67)

From the standard distribution table,

P(Z < 2) = 0.97725 and P(Z < 1.67) = 0.95254

On substituting,

P(150 < X < 156) = 0.97725 - 0.95254 = 0.02471

Rounding off to four decimal places,

P(150 < X < 156) = 0.0247

Thus, the required probability is 0.0247.

Learn more about standard normal distribution here:

https://brainly.com/question/26822684

#SPJ1

When we have a biased dice where 3 comes up twice as often as each other number, the expected sum of the numbers that appears on two such dice is 48/7.

Therefore, the answer is (A) 48/7.

From given condition of bias, probability of getting 3 is

P(3) = 2 × p

where P(1) = P(2) = P(4) = P(5) = P(6) = p

We also know P(1) + P(2) + P(3) + P(4) + P(5) + P(6) = 1

That is 2p + 5p = 1

p = 1/ 7

P(3) = 2/7

Expected sum of the numbers that appear on a dice can be obtained by

EV = 1×1/7 + 2×1/7 + 3×2/7 + 4×1/7 + 5×1/7 + 6×1/7

EV = 24/7

Expected sum of the numbers that appear on two dice can be obtained by twice of one dice that is

EV = 2×24/7

EV = 48/7

To know more on expected sum

https://brainly.com/question/14255954

#SPJ4

Answer:

y=886000(1.04)^t

t=1 year so answer is 886000*1.04 = 921440

Simplify the expression (p^+pq+q^2)-(-p^2+3q+q^2) as,

So answer is 4pq.

Student A Mean:

(78 + 99 + 80 + 85 + 95 + 79 + 85 + 96)/8 = 87.125

Student A Mean Absolute Deviation: 7.15625

Student B Mean:

(100+ 80+ 79+75+92+ 93+75+ 78+ 84) / 9 = 84

Student B Mean Absolute Deviation: 7.33