The scale on a map indicates that 1 inch corresponds to an actual distance of 75 miles. Two cities are 5.5 inches apart on the map. What is the actual distance between the two cities?

Answer:

y=¼x-6

Step-by-step explanation:

y=mx+c

y=¼x+-6

y=¼x-6

Answer:

A

Step-by-step explanation:

From f(x) to k(x), the graphed parabola is stretched and wider.

Answer: Choice B) Vertically compressed by a factor of 8.

Explanation:

Consider a point like (8,64) which is on f(x).

If we plug in x = 8 into k(x), then we would get k(8) = 8. The old output y = 64 is now y = 8. This is an example of a vertical compression of 8. It's 8 times smaller in the vertical direction compared to what it used to be. This is because the k(x) outputs are 1/8 those of the f(x) outputs.

Effectively we have k(x) = (1/8)*f(x).

Another example would be x = 16 leading to y = 256 on f(x). For k(x), we have x = 16 lead to y = 32

Refer to the graph below.

Answer:

x=-6, y=0

Step-by-step explanation:

it's impossible to fully solve an equation where 2 variables are unknown. So we have to make it equal to 1 set. to do this, we have to think logically.

if y=x+6, then that means wherever it says y, we can put x+6. because x+6=x+6, right? so we plug x+6 into the second equation and get.

x+6=0.5x+3

to solve for x we subtract 6 from one side and 0.5 from the other and get

0.5x=-3

then we multiply both sides by 2 to make be a whole number

x=-6

now we just plug this into either equation. because the first one is easier, we can just set it up as

y=(-6)+6

which means y=0

The perimeter of the whole garden would be 66m.

Hope this helps! :)

Answer

y = 3x - 2

Step-by-step explanation

The slope-intercept form of the equation for this line is,

⇒ y  = x + 2

The equation of line in point-slope form passing through the points

(x₁ , y₁) and (x₂, y₂) with slope m is defined as;

⇒ y - y₁ = m (x - x₁)

Where, m = (y₂ - y₁) / (x₂ - x₁)

Given that;

The point-slope form of the equation of the line that passes through points (-9, -2) and (1, 3) is,

⇒ y - 3 = (x - 1)

Now, We can simplify as;

⇒ y - 3 = (x - 1)

⇒ y - 3 + 3 = (x - 1) + 3

⇒ y  = x + 2

Thus, The slope-intercept form of the equation for this line is,

⇒ y  = x + 2

Learn more about the equation of line visit:

https://brainly.com/question/18831322

#SPJ7

Answer:

∠AED

Step-by-step explanation:

Vertical angles are the opposite angles of intersecting lines. ∠BEC and ∠AED are opposite and would therefore also be congruent angles.

Answer:

[tex]\angle BEC=\angle AED [vertical ~angle][/tex]

[tex]\angle AED~vertical~ angle ~to~ \angle BEC[/tex]

[tex]ANSWER:\angle AED[/tex]

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hope it helps...

have a great day!!

Full question:

Every 5 years the Conference Board of the Mathematical Sciences surveys college math departments. In 2000 the board reported that 51% of all undergraduates taking Calculus I were in classes that used graphing calculators and 31% were in classes that used computer assignments. Suppose that 16% used both calculators and computers. a) What percent used neither kind of technology? b) What percent used calculators but not computers? c) What percent of the calculator users had computer assignments? d) Based on this survey, do calculator and computer use appear to be independent events? Explain.

Answer:

a. 34%

b. 35%

c. 31.4%

d. Independent events

Explanation:

a. To calculate percentage that used neither kind of technology, we already know those that use the technologies and total taking calculus so:

100%-51%-31%-16%= 34%

b. Percentage that used calculators but not computers.

= 51%-16%=35%

c. Percentage of the calculator users that had computer assignments?

= 16/51×100=31.4% (there are 16 people using both so that as a percentage of 51 people using calculators)

d. Independent events are events that do not affect the other, such that occurrence of one does not define occurrence of the other. Since percentage of calculator and computer assignment users is close to those who are not using any, we can say they are independent events.

Answer:

Where is the diagram though..

Step-by-step explanation:

Answer:

continuous

rain does not fall in specific units like 1 inch , 2 inches etc... but 1.23456 etc..

Step-by-step explanation:

9514 1404 393

Answer:

  y = -4/7x +58/7

Step-by-step explanation:

The slope of the given line segment is ...

  m = (y2 -y1)/(x2 -x1)

  m = (17 -3)/(1 -(-7)) = 14/8 = 7/4

Then the slope of the perpendicular line is ...

  -1/m = -4/7 . . . . . slope of the perpendicular bisector.

__

The midpoint of the given line segment is ...

  M = 1/2(x1 +x2, y1 +y2)

  M = (1/2)(-7 +1, 3 +17) = 1/2(-6, 20) = (-3, 10)

__

The y-intercept of the bisector can be found from ...

  b = y -mx

  b = 10 -(-4/7)(-3) = 10 -12/7 = 58/7

Then the slope-intercept form equation for the perpendicular bisector is ...

  y = mx +b

  y = -4/7x +58/7

Answer:

Yes, as for each trial there are only two possible outcomes, the trials are independent, and the number of trials is fixed.

Step-by-step explanation:

For each student, there are only two possible outcomes. Either they respond favorably, or they do not. The probability of a student responding favorably is independent of any other student, and the number of trials is fixed. Thus, this probability experiment represents a binomial experiment.

Answer:

The equation is

y=0.5x+2

Hi there!

[tex]\large\boxed{40x^{6}}[/tex]

Begin by simplifying (2x²)²

2² · (x²)² <-- Power rule for exponents, multiply them together:

4 · x⁴ = 4x⁴

Multiply by 10x². ADD exponents when multiplying.

10x² · 4x⁴ = 40 · x²⁺⁴

40x⁶

Answer:

b. 28[tex]\pi[/tex] in.

Step-by-step explanation:

circumference of a circle = 2 [tex]\pi[/tex] r

whrere r is the radius of rhe circle

= 2 × [tex]\pi[/tex] × 14 in.

= 28 [tex]\pi[/tex] in.

that is option b

We have to find,

The circumference of the given circle in terms of the π.

The formula we use,

→ C = 2πr

Then we can find the circumference,

→ 2 × π × r

→ 2 × π × 14

→ 28π in.

Hence, option (b) is correct answer.

Answer:

The option B, c2=a2+b2−2ab• cos(B) is the right answer.

Answer:

x ≤ -6

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Equality Properties

Step-by-step explanation:

Step 1: Define

Identify

235 ≤ -8(1 + 5x) + 3

Step 2: Solve for x

Step-by-step explanation:

To solve for x, make sure you move everything else to the other side of the ≤ sign.

So,

[tex]235\leq -8(1+5x)+3\\232\leq -8-40x\\240\leq -40x\\-6\geq x[/tex]

* Remember that the sign changes anytime you divide by a negative number!

So your answer is:

[tex]x\leq -6[/tex], x is less than or equal to -6.

Answer:

5

Step-by-step explanation:

I'm going to call x, x1 because I want to use x as a variable.

So we have a ray with points (0,0) and (3x1,5) on it. This equation for this ray would be y=5/(3x1)×x.

We have another ray with points (0,0) and (2,-6). This equation for this ray would be y=-6/2×x or y=-3x.

We want these two lines' slopes to be opposite reciprocals. The opposite reciprocal of -3 is 1/3.

So we want to find x1 such that 5/(3x1)=1/3.

Cross multiply: 15=3x1

Divide both sides by 3: 5=x1

We want x1 to be 5 so that 5/(3×5) and -3 are opposite reciprocals which they are.

Another way:

If two vectors are perpendicular, then their dot product is 0.

The dot product of <3x,5> and <2,-6> is 3x(2)+5(-6).

Let's simplify:

6x-30.

We want this to be 0.

6x-30=0

Add 30 on both sides:

6x=30

Divide both sides by 6:

x=5

Answer:

The equation of the tangent line is [tex]y = -\frac{5}{18}\cdot x +\frac{14}{9}[/tex].

Step-by-step explanation:

Firstly, we obtain the equation for the slope of the tangent line by implicit differentiation:

[tex]2\cdot x + 6\cdot y + 6\cdot x \cdot y' + 24\cdot y \cdot y' = 0[/tex]

[tex]2\cdot (x + 3\cdot y) + 6\cdot (x + 4\cdot y) \cdot y' = 0[/tex]

[tex]6\cdot (x + 4\cdot y) \cdot y' = -2\cdot (x+3\cdot y)[/tex]

[tex]y' = -\frac{1}{3}\cdot \left(\frac{x + 3\cdot y}{x + 4\cdot y} \right)[/tex] (1)

If we know that [tex](x,y) = (2, 1)[/tex], then the slope of the tangent line is:

[tex]y' = -\frac{1}{3}\cdot \left(\frac{2+3\cdot 1}{2 + 4\cdot 1} \right)[/tex]

[tex]y' =-\frac{5}{18}[/tex]

By definition of tangent line, we determine the intercept of the line ([tex]b[/tex]):

[tex]y = m\cdot x + b[/tex]

[tex]b = y - m\cdot x[/tex] (2)

If we know that [tex](x,y) = (2,1)[/tex] and [tex]m = -\frac{5}{18}[/tex], then the intercept of the tangent line is:

[tex]b = 1 - \left(-\frac{5}{18} \right)\cdot (2)[/tex]

[tex]b = \frac{14}{9}[/tex]

The equation of the tangent line is [tex]y = -\frac{5}{18}\cdot x +\frac{14}{9}[/tex].

The exclamation mark at the end of any number indicates a factorial. You may be able to find this button in your calculator, though where it is varies.

A factorial is the product of the integer and all of the integers below it (greater than 0).

So, 9 factorial = 9 x 8 x 7 x 6 x 5 x 4 x 3 x 2 x 1

6 factorial = 6 x 5 x 4 x 3 x 2 x 1

We can immediately eliminate the numbers that are the same on the top and bottom, since this is a fraction. That leaves us with the following multiplication problem to solve.

9 x 8 x 7 = 504

Hope this helps!

Answer:

Mathematics is very important in a small business is because when you make money transactions with other people you need to know how to count money correctly and your calculations can’t be wrong. When we sign up for jobs like police, or firefighter, we need to use math. Math helps us solve real-world problems.

Step-by-step explanation:

Answer:

m=5

n=-3

Step-by-step explanation:

3m+2m=9

3m-3n=24

3(5)+2(-3)=9

15-6=9 correct

Answer:

the answer is 35/64(in fraction) but in decimals it's 0.55

Answer:

-73, -71, -69

Step-by-step explanation:

Suppose the middle of the 3 integers is x.

(x-2)+(x)+(x+2)=-213

x-2+x+x+2=-213

3x=-213

x=-71

The integers are -69, -71, and -73

Answer:

-73,-71,-69

Step-by-step explanation:

Let x represent an odd interger

Odd intergers are serpated by the value of 2 so let the three consective intergers be represented by

[tex](x )+ (x + 2) +( x + 4)[/tex]

Set that equation equal to 213.

[tex]x + x + 2 + x + 4 = - 213[/tex]

[tex]3x + 6 = - 213[/tex]

[tex]3x = - 219[/tex]

[tex]x = - 73[/tex]

Plug -73 in the consective intergers expression.

[tex] - 73 + ( - 73 + 2) + ( - 73 + 4)[/tex]

So our three intergers are

[tex] - 73[/tex]

[tex] - 71[/tex]

[tex] - 69[/tex]

Answer:

Degree of freedoms F(4,40)

Step-by-step explanation:

Given:

There is a study which is involving 5 different groups that each contains 9 participants (totally 45)

The objective is to calculate the degree of freedoms

Formula used:

Numerator degree of freedom = k-1

denominator degree of freedom=N-K

Solution:

Numerator degree of freedom = k-1

denominator degree of freedom=N-K

Where,

K= number of groups = 5

N= total number of observations

which is given as follows,

N=45

Then,

Numerator degree of freedom = k-1

=5-1

=4

Denominator degree of freedom = N-K

=45-5

=40

Therefore,

Degree of freedoms, F(4,40)

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Answer:

Step-by-step explanation:

Consecutive interior angles are supplementary.

  (x -20)° +(4x +15)° = 180°

  5x = 185 . . . . . . . . . . . . . . divide by °, add 5

  x = 37 . . . . . . . . . . . . divide by 5

__

  74° +(5y -4)° = 180°

  5y = 110 . . . . . . . . . . . divide by °, subtract 70

  y = 22 . . . . . . . . . . divide by 5

9514 1404 393

Answer:

  f(x) = 5x

Step-by-step explanation:

Vertical stretch is accomplished by multiplying the function value by the stretch factor. f(x) = x is stretched by a factor of 5 by multiplying it by 5:

  f(x) = 5x

Answer:

Step-by-step explanation:

hope it helps much

Answer:

(2,3) (4,2) (5,2) (1,4) (0,2)

Step-by-step explanation:

because all these points have something common to each other. Now pay attention in your class and stop cheating!!

Answer:

Step-by-step explanation:

eq. of circle is (x-2)²+(y-3)²=10²

now substitute the values of x and y

which satisfies the above eq.that point lies on the circle.