There is a line that includes the point (0, 4) and has a slope 1/7of
What is its equation in
slope-intercept form?

#CarryOnLearning

Answer:

The properties of rational exponents can be applied to simplify expressions with radicals or rational exponents by writing radicals as numbers with rational exponents.

That allows you to apply the same properties of rational exponents to them.

Step-by-step explanation:

hope it may help you

KEEP STUDYING !!

Answer:

6

Step-by-step explanation:

Step 1:

12 - 4 = x + 2

Step 2:

8 = x + 2

Step 3:

8 - 2 = x

Answer:

x = 6

Hope This Helps :)

Answer:

4.9 units

Step-by-step explanation:

Answer:

───▄▀▀▀▄▄▄▄▄▄▄▀▀▀▄───COPY PASTE ME AND FIGHT BOB!!!

───█▒▒░░░░░░░░░▒▒█───I am TACO I AM THE NEW WAY

────█░░█░░░░░█░░█────Join my kingdom:

─▄▄──█░░░▀█▀░░░█──▄▄─https://pad let.com/tristajm32/meow

█░░█─▀▄░░░░░░░▄▀─█░░█

Step-by-step explanation:

Answer:

1 1/4 or 5/4

Step-by-step explanation:

one is simplified just in case

Answer:

1/1024

Step-by-step explanation:

If you want the steps, just ask and ill give them in comments :)

Hope this helped!

If so, can you mark brainiest!

Thanks!

Have a great day!

Answer:

y=-2x-10

this is slope-intercept form, if this is what you're asking for?

Step-by-step explanation:

simplify: y-4 = -2x-6

y= -2x -10

Answer:

21

Step-by-step explanation:

Answer:

13.7

Step-by-step explanation:

Pythagorean theorem converse

Answer:

The value of x is 13.7.

Step-by-step explanation:

☆We are going to use the Pythagorean theorem to solve this.

☆Pythagorean Theorem:

\( {a}^{2} + {b}^{2} = {c}^{2} \)

☆Remmeber: a = leg, b = leg, c = hypotenuse or the diagonal.

☆Let's plug in according to the pythagorean theorem and solve!

\( {a}^{2} + {b}^{2} = {c}^{2} \\ {x}^{2} + {9.2}^{2} = {16.5}^{2} \\ {x}^{2} + 84.64 = 272.25 \\ \frac{ \: \: \: \: \: \: \: \: - 84.64 = - 84.64}{ {x}^{2} = \sqrt{187.61} } \\ x = 13.7\)

The number of years that he ruled as an Emperor is B. 41 years.

From the information, it was stated that Octavian became the emperor of rome in 27 b.c. and that he ruled until his death in a.d. 14

Therefore, the number of years that he rules will be:

= 27 + 14

= 41

Therefore, the number of years that he ruled as an Emperor is 41 years.

In conclusion, the correct option is B.

Learn more about numbers on:

brainly.com/question/25734188

#SPJ1

The equation of the parabola graphed is given as follows:

y = a(x + 1)² - 4.

The equation of a quadratic function, of vertex (h,k), is given by:

y = a(x - h)² + k

In which a is the leading coefficient.

Considering the vertex given, we have that h = -1, k = -4, hence the equation is:

y = a(x + 1)² - 4

More can be learned about the equation of a parabola at https://brainly.com/question/24042425

#SPJ1

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

Explanation:

The stem and leaf plot shows we have the following data items

{56, 67, 67, 69, 72, 74, 77, 77, 78, 81, 82, 82, 83, 84, 88, 90, 92, 93, 94}

Cross off the outermost items.

So cross off the first and last items to get this smaller set

{67, 67, 69, 72, 74, 77, 77, 78, 81, 82, 82, 83, 84, 88, 90, 92, 93}

Repeat that process again

{67, 69, 72, 74, 77, 77, 78, 81, 82, 82, 83, 84, 88, 90, 92}

Repeat again

{69, 72, 74, 77, 77, 78, 81, 82, 82, 83, 84, 88, 90}

Do so another time. We keep going til we get 1 or 2 values

{72, 74, 77, 77, 78, 81, 82, 82, 83, 84, 88}

{74, 77, 77, 78, 81, 82, 82, 83, 84}

{77, 77, 78, 81, 82, 82, 83}

{77, 78, 81, 82, 82}

{78, 81, 82}

{81}

The last value is the median as it is in the very middle. So the median is 81.

-----------

Check out the attached image below to see the various items crossed off. Note the color coding to see how the terms pair up when crossed off. Only the 81 isn't crossed off showing it is the middle most value.

Answer:

10 - B = U

Step-by-step explanation:

U stands for the unopened bottles

for example if they opened 3 bottles it would be 10 - 3 = U (unopened bottles)

The value of U is 7 because the 10 bottles of water minus the 3 bottles they opened it would equal 7.

therefore the equation 10 - B = U shows the amount of unopened bottles

The value of CPI will be 178.

What is an expression?

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

In 1983, a pair of jeans cost $66.35.

And, A pair of jeans costs $118.10 today.

Now,

Since, In 1983, a pair of jeans cost $66.35.

And, A pair of jeans costs $118.10 today.

Hence, The value of CPI will be;

CPI = 118.10 × 100 / 66.35

      = 11810 / 66.35

       = 178

Thus, The value of CPI will be 178.

Learn more about the mathematical expression visit:

brainly.com/question/1859113

#SPJ1

Answer:

Step-by-step explanation:

6.5

Answer:

201.1 radians per minute

Step-by-step explanation:

The formula for Angular speed of tires in radians per minute =

1 revolutions per minute = 2π rad/min

32 revolutions per minute = x

x = 32 revolutions per minutes × 2 π radians per minute

x = 201.06192983 radians per minute

Approximately

x = 201.1 radians per minute

Therefore, the angular speed of the tires in radians per minute is 201.1 radians per minute

The angular speed of the tires in radians per minute is 201 rad per minute.

Angular speed is the rate at which an object changes it angles, it is measured in radians in a given time.

To convert from rad per minute to rev per minute, we divide by 2π.

1 rad per min = 1/2π rev per min

32 revolutions per minute = (32 * 2π) radians per minute = 201 rad per minute.

The angular speed of the tires in radians per minute is 201 rad per minute.

Find out more on angular speed at: https://brainly.com/question/6860269

Answer: We can conclude that f(x) and g(x) are not inverses.

Step-by-step explanation:

If we have two functions:

f(x) and g(x)

These functions are inverses if:

f( g(x) ) = x

g( f(x) ) = x

In this case, we have:

f(x) = 12*x - 12

g(x) = (1/12)*x - 1

Now we need to check the compositions:

f( g(x) ) = 12*g(x) - 12 = 12*( (1/12)*x - 1) - 12 = (x - 12) - 12 = x - 24

and:

g( f(x)) = (1/12)*f(x) - 1 = (1/12)*(12*x - 12) - 1 = 12*x/12 - 12/12 - 1 = x - 1 - 1 = x - 2

In both cases, we can see that:

f( g(x) ) ≠ x

and:

g( f(x) ) ≠ x

Then we can conclude that f(x) and g(x) are not inverses functions.

Answer:

\(y=-\dfrac{8}{x}\)

Step-by-step explanation:

Inverse proportions can be represented by an equation in the form:

\(\boxed{y=\dfrac{k}{x}}\)

where:

To write an expression for the graphed function, first input the given point (-2, 4) into the inverse proportion equation and solve for k:

\(\implies y=\dfrac{k}{x}\)

\(\implies 4=\dfrac{k}{-2}\)

\(\implies 4 \cdot (-2)=\dfrac{k}{-2}\cdot (-2)\)

\(\implies -8=k\)

\(\implies k=-8\)

Therefore, the expression for the graphed function is:

\(\boxed{y=-\dfrac{8}{x}}\)

The value of x from the given figure is 12 units.

Two triangles are similar if the angles are the same size or the corresponding sides are in the same ratio. Either of these conditions will prove two triangles are similar.

From the given figure,

Consider ΔADC and ΔABC,

∠C=∠C (Reflex property)

AC=AC (Reflex property)

∠BAC=∠CDA=90°

By AA similarity, ΔADC ~ ΔABC

So, AC/BC = DC/AC

x/36 = 4/x

x²=36×4

x²=144

x=12 units

Therefore, the value of x from the given figure is 12 units.

To learn more about the similar triangles visit:

https://brainly.com/question/25882965.

#SPJ1

The minimum length of the crest vertical curve is 354.1 feet, and the minimum length of the sag curves is 493.4 feet.

In designing the crest vertical curve, several criteria need to be considered, including driver perception-reaction time, design speed, and grade changes. The design should ensure driver comfort and safety by providing adequate sight distance.

To determine the minimum length of the crest vertical curve, we consider the stopping sight distance, which includes the distance required for a driver to perceive an object, react, and come to a stop. The minimum length of the crest curve is calculated based on the formula:

Lc = (V^2) / (30(f1 - f2))

Where:

Lc = minimum length of the crest vertical curve

V = design speed (in feet per second)

f1 = gradient of the approaching grade (in decimal form)

f2 = gradient of the departing grade (in decimal form)

Given the design speed of 60 mph (or 88 ft/s), and the grade changes of +4% and -3%, we can calculate the minimum length of the crest vertical curve using the formula. The result is approximately 434 feet.

Additionally, the sag curves are designed to provide a smooth transition between the crest curve and the approaching and departing grades. The minimum lengths of the sag curves are typically equal and calculated based on the formula:

Ls = (V^2) / (60(a + g))

Where:

Ls = minimum length of the sag curves

V = design speed (in feet per second)

a = acceleration due to gravity (32.2 ft/s^2)

g = difference in grades (in decimal form)

For the given scenario, the difference in grades is 7% (4% - (-3%)), and using the formula with the design speed of 60 mph (or 88 ft/s), we can calculate the minimum lengths of the sag curves to be approximately 307 feet each.

By considering the perception-reaction time, design speed, and grade changes, the minimum lengths of the crest vertical curve and the sag curves can be determined to ensure safe and comfortable driving conditions on the two-lane highway.

To learn more about Crest vertical curve

brainly.com/question/31424347

#SPJ11

Answer:

A

Step-by-step explanation:

V= BxHxL divided by 2

6x9x21= 1,134

divided by 2 equals 567yd

Answer:

A) 567 yd^3

Step-by-step explanation:

If you need help with formulas you could always look them up. Like triangular prism volume formula

Answer:

2x - 4

Step-by-step explanation:

10x - 4 ( 2x + 1 )

= 10x - 8x - 4

= 2x - 4

Answer: either (-5,-0.5)

Step-by-step explanation:

Solution

For this case we can use the following equation:

m < A+ m < C= 180 º= m < B + m < D

Then since we know that m < A= 88º we can do this

m < C= 180º- 88º = 92º

then the correct answer is:

92º

Answer:Y=X+7

Step-by-step explanation:

Answer:

3(2x+1)+2(x+4)

=6x+3+2x+8

=6x+2x+3+8

=8x+11

The different probabilities and number of callers expected to be waiting are;

A) P(x = 3) = 0.0286

B) P(x = 13) = 0.1056

C) 8 will be waiting

D) P(x = 0) = 0.0003

E) P(x = 0) = 0.0067

We are given the rate of 48 phone calls per hour.

Thus, we will use poisson's distribution formula;

P(x) = (λˣ × e^(-λ))/x!

A) Probability of receiving three calls in a 10-minute interval of time which is P(x = 3). Thus;

λ = 48 * (10/60)

λ = 8

P(x = 3) = (8³ × e⁻⁸)/3!

P(x = 3) = 0.0286

B) Probability of receiving exactly 13 calls in 15 minutes is P(x = 13). Thus;

λ = 48 * (15/60)

λ = 12

P(x = 13) = (12¹³ × e⁻¹²)/13!

P(x = 13) = 0.1056

C) No calls are currently on hold and it takes 10 minutes to complete one call. Thus;

λ = 48 * (10/60)

λ = 8

Thus, 8 will be waiting after 10 minutes.

D) Probability that no one will be waiting is;

P(x = 0) = (8⁰ × e⁻⁸)/0!

P(x = 0) = 0.0003

E) No calls being processed and it takes 5 minutes for a personal time without being interrupted by a call. Thus;

λ = 48 * (5/60)

λ = 4

P(x = 0) = (4⁰ × e⁻⁵)/0!

P(x = 0) = 0.0067

Read more about probability with poisson's distribution at; https://brainly.com/question/7879375

Sean approximately 5.07 hours to bike a total distance of 71 miles.

Sean is biking at a steady rate of 14 miles per hour, and his goal is to cover a total distance of 71 miles. To determine the time it will take him to complete the entire distance, we can use the formula: time = distance / rate.

Using this formula, we can calculate Sean's biking time. Dividing the total distance of 71 miles by the rate of 14 miles per hour gives us:

Time = 71 miles / 14 miles per hour

Simplifying the equation, we find:

Time = 5.07 hours

Therefore, it will take Sean approximately 5.07 hours to bike a total distance of 71 miles.

For more such questions bike,Click on

https://brainly.com/question/30648875

#SPJ8