If a stretch of mountain road covers a horizontal distance of 0.5 mile and has a vertical drop of 200 feet, find the percent grade of the road and the length of the actual stretch of road.

Answer:

[tex]x^{2}+9y^{2}+22[/tex]

Step-by-step explanation:

[tex](x+4)+(x+4)+(3y)+(3y)+(7)+(7)[/tex]

this can be simplified to: [tex]x^{2}+9y^{2}+22[/tex]

Answer:

B. 141 ft.

Step-by-step explanation:

Just saw this.

Answer: 241804367

Step-by-step explanation:

Answer: 120 ways

Step-by-step explanation:

Number of people in baking club = 10

Number of people who make up an executive committee = 3

Number of committees which can be formed :

This is a combination problem:

nCr = n! / (n-r)! r!

n = 10 ; r = 3

10C3 = 10! / (10 - 3)! 3!

= 10! / 7! 3!

= ( 10 * 9 * 8) / 3 * 2 * 1

= 720 / 6

= 120 ways

Hey there! :)

Answer:

A = 9/16 in².

Step-by-step explanation:

Use the formula A = s² to solve for the area where s = 3/4 in:

A = (3/4)²

A = 9/16 in².

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▹ Answer

9/16 in²

▹ Step-by-Step Explanation

Square → 4 sides

All sides are equal in a square so →

s = a²

= 3/4²

= 9/16 in²

Hope this helps!

CloutAnswers ❁

Brainliest is greatly appreciated!

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Answer:

infinite solutions

Step-by-step explanation:

y=5-2x

4x+2y=10

Multiply the first equation by 2

2y = 10 -4x

Add 4x to each side

4x+2y = 10

This is identical to the second equation

This means they are the same line, so there are infinite solutions along the line

There are infinite answers

Answer:

the slope

Step-by-step explanation:

If the function is linear, the average rate of change of y with respect to x is the slope of the line.

Answer:

slope

Step-by-step explanation:

Answer:

1. a. His new texting speed after one month is 2 + 1/2 = 2.5 characters per second.

b. After two months it will be 2 + (1/2) * 2 = 3 characters / second.

c. Answer is 2 + 1/2 * 3 = 3.5 characters/second/.

2. The answer is s = 1/2m + 2

3. To solve for m we write 8 = 1/2m + 2 → 6 = 1/2m → m = 12 months.

4. 10r + 4 = 8 → 10r = 4 → r = 0.4

5. The variable r represents the rate she must increase her texting speed by per month.

6. A scenario could be "Allison has 37 marbles in a jar. She took out 5 from the jar and wants to divide the remaining amount equally among her 8 friends. How many marbles does each friend get?".

Answer:

1). Y= x² -4x+6

Y = 3x-4

2) X= 5 and x= 2

3).

X= 5

Y= 11

X= 2

Y= 2

Step-by-step explanation:

1).

Y = (x-2)²+2

Y= x² -4x+4+2

Y= x² -4x+6

Y+4= 3x

Y = 3x-4

2).

Y = x² -4x+6

Y = 3x-4

x² -4x+6= 3x-4

X² -7x+10= 0

X²-5x-2x+10= 0

X(x-5)-2(x-5)= 0.

(X-5)(x-2)= 0

X= 5 and x= 2

3). substituting the value of x into the linear equation

Y = 3x-4

X= 5

Y= 3(5)-4

Y= 15-4

Y= 11

Y = 3x-4

X= 2

Y= 3(2)-4

Y= 6-4

Y= 2

Answer:this is stupid

Step-by-step explanation:who the hell does that

Answer:

7, 165.482 ≈ 7,165.48

Step-by-step explanation:

7, 165.482

Locate the hundredth:

7, 165.482

Check the number to the left:

7, 165.482

If the number is greater than or equal to five, we round up.

If the number is less than four, we round down.

2 is less than four.

Therefore:

7, 165.482 ≈ 7,165.48

The given number rounded to the nearest hundredth is 7, 165.48.

The given decimal number is 7,165.482.

We need to round 7,165.482 to the nearest hundredth.

To round a number to the nearest hundredth, look at the next place value to the right (the thousandths this time). Same deal: If it's 4 or less, just remove all the digits to the right. If it's 5 or greater, add 1 to the digit in the hundredth place, and then remove all the digits to the right.

Now, in the number 7,165.482 digits, the thousandth place is 2.

So, the number to the nearest hundredth is 7, 165.48

Therefore, the given number rounded to the nearest hundredth is 7, 165.48.

To learn more about rounding off numbers visit:

https://brainly.com/question/902495.

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Answer:

A - y=4x-2

Step-by-step explanation:

Parallel lines have the same slope.

The slope of the original line is 4. (4x)

Answer:

Option A

Step-by-step explanation:

Parallel lines have equal slopes

So, y = 4x+3 and 4x-2 ,while comparing with [tex]y = mx+c[/tex] where m is slope, have equal slopes.

Answer:

B

Step-by-step explanation:

To answer this question, set the equation equal to 100 and solve for x. Thus:

[tex]100=50(1.03)^x[/tex]

[tex]2=(1.03)^x[/tex]

[tex]x=\log_{1.03}2\approx23.45\approx23[/tex]

Therefore, 23 years after 2000, the population will reach 100 million.

Hence, our answer is B, at the year 2023.

Answer:

B

Step-by-step explanation:

Answer:

2.8 in

Step-by-step explanation:

The volume (V) of the prism is calculated as

V = Ah ( A is the area of the triangular end and h is the length )

A = [tex]\frac{1}{2}[/tex] × x × x = [tex]\frac{1}{2}[/tex] x² , thus

V = [tex]\frac{1}{2}[/tex] x² × x = 4 , that is

[tex]\frac{1}{2}[/tex] x³ = 4 ( multiply both sides by 2 )

x³ = 8 ( take the cube root of both sides )

x = [tex]\sqrt[3]{8}[/tex] = 2

Using Pythagoras' identity on the right triangle with hypotenuse y, then

y² = x² + x² = 2² + 2² = 4 + 4 = 8 ( take the square root of both sides )

y = [tex]\sqrt{8}[/tex] ≈ 2.8 in ( to the nearest tenth )

Answer:

Step by step explanation:

[tex] - 7.1(z - 1.1)[/tex]

Multiply each term in paranthesis by -7.1

[tex] - 7.1 \times z - 7.1 \times ( - 1.1)[/tex]

Multiply:

[tex] -7.1z + 7.81[/tex]

Hope this helps...

Good luck on your assignment..

Answer:

34.05£

Step-by-step explanation:

cost of 4 pens=75 p

cost of 36 pens=75/4×36=675 p=6.75£

cost of 12 pencils=42 p

cost of 36 pencils=42/12 ×36=126 p=1.26£

cost of 6 rulers=1.10£

cost of 36 rulers=1.10/6 ×36=6.60£

cost of 36 pencil cases=54×36=1944 p=19.44 £

Total amount of money spent=6.75+1.26+6.60+19.44=34.05 £

Permutation helps us to know the number of ways an object can be arranged in a particular manner. The number of ways in which 6 marbles can be put in three different jars is 720.

Permutation helps us to know the number of ways an object can be arranged in a particular manner. A permutation is denoted by 'P'.

[tex]^nP_r = \dfrac{n!}{(n-r)!}[/tex]

where,

n is the number of choices available,

r is the choices to be made.

Given that there are 6 marbles and 3 different jars. Therefore, The number of ways in which 6 marbles can be put in three different jars is,

Number of ways = ⁶P₃ × 3!

                            = 120 × 6

                            = 720

Hence, The number of ways in which 6 marbles can be put in three different jars is 720.

Learn more about Permutation:

https://brainly.com/question/11732255

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Answer:

Solution,

[tex] \frac{11}{10} ( - 2x - 1) - 16 \\ = \frac{11}{10} \times ( - 2x) - \frac{11}{10} \times 1 - 16 \\ = - \frac{22}{10} x - \frac{11}{10} - 16 \\ = - \frac{22}{10} x - \frac{171}{10} \\ = - \frac{11}{5} x - \frac{171}{10} [/tex]

Hope this helps...

Good luck on your assignment..

Answer:

-11/5x+-171/10

Step-by-step explanation: I believe its this answer unless you want it graphed

Answer:

[tex]-\frac{7}{8}(-\frac{8}{7})x-\frac{3}{4}=20\left(-\frac{8}{7}\right)[/tex]

the last one

sorry for getting this wrong...............

Answer:

D) 12,672 in^3

Step-by-step explanation:

V = LWH = 18 in * 16 in * 44 in = 12,672 in^3

Answer:

12,672 in3 I think

Step-by-step explanation:

Answer:

y=1/2x+6

Step-by-step explanation:

First, you need to isolate the variable "y". Once you have done that you can multiply the whole equation by -1 to get rid of those pesky negative signs. Then you divide by 2 do y does not have a coefficient, Once you divide both sides by 2 you have arrived at the answer

Answer:

4

Step-by-step explanation:

the difference between the numbers is 4

Answer:

100

Step-by-step explanation:

A rhombus is split into four right triangles

The base of one is 5 and the hypontenuse is 10

So remember x^2y^2=z^2

5^2=25

25+y^2=100

Ok so y is between 8 and 9 so lets just use 8 first

5*8*1/2=20

there are 4 triangles so 20*4=80

now same thing with 9

5*9*1/2=22.5

22.5*4=90

your answer is between 80 and 90

btw i might have gotten the answer wrong but idk if u were supposed to have an exact answer and also idk if the "10" was the hypontheses but since u were probably offline i answered it

Answer:

Correct options are A and B.

Step-by-step explanation:

From the given graph it is clear that the given points lie on a parabola because they in U-shape.

We need to find the ranges of x-values such that there must be a root of the graph.

The point (-3,2) lies above the x-axis but point (-2,-2) lies below the axis. It means when these points are connected by a curve then the curve intersects the x-axis

So, one root of the graph lies in the range -3 to -2.

Similarly, point (1,-1) lies below the x-axis but point (2,3) lies above the axis. It means when these points are connected by a curve then the curve intersects the x-axis

So, one root of the graph lies in the range 1 to 2.

Therefore, the correct options are A and B.

Answer:

Choices: 2, 4, 8, 9

Step-by-step explanation:

The Opposite sides of a Trapezioid are congruent

The bases form parallel sides

The diagonals of a trapezoid bisect each other AND are congruent

Hope this helps! So sorry if its wrong

Answer:

Wednesday

Step-by-step explanation:

Fridays temperature was -4

We want a temperature that is 9 degrees lower

-4 -9 = -13

Wednesday has a temperature of -13

Answer:

The third option wednesday.

Step-by-step explanation:

on friday it was -4 c. aass the temperature grow in minuses(negatives) it becomes colder. just add 4 and 9 because it tells you that it was colder by nine celsius. higher negative number means lower(colder) temperature. 4+9=13. now add minus to the number we get -13. if you look at the chart this temperature was reported on wednesday. hope i was able to help. ask if need help any further.

Answer:

The slope from point O to point A is 3 times the slope of the line from point A to point B.

Step-by-step explanation:

The slope of the entire line is 1. The slope from point A to point B is also 1. 1 multiplied by 3 is still 1, which means that the slope from point O to point A is also 1.

Answer:

D) A statement not formed by exchanging the hypothesis and conclusion of the conditional is not a converse statement. True

Step-by-step explanation:

Information is missing in the question, which would be the following:

A converse statement is formed by exchanging the hypothesis and conclusion of the conditional.

The options for answering the question are also missing, which by investigating I could know that they are as follows:

A) a non-converse statement is not formed by exchanging the hypothesis and conclusion of the conditional. True

B) A statement not formed by exchanging the hypothesis and conclusion of the conditional is a converse statement. False; an inverse statement is not formed by exchanging the hypothesis and conclusion of the conditional.

C) A non-converse statement is formed by exchanging the hypothesis and conclusion of the conditional. False; an inverse statement is formed by negating both the hypothesis and conclusion of the conditional.

D) A statement not formed by exchanging the hypothesis and conclusion of the conditional is not a converse statement. True

Now we have that a conditional statement has the form of whether A then B.

Also, A contradictory statement is when we exchange the hypothesis and the conclusion of the sentence and deny them both. It has the following form if not A, then not B.

Therefore the answer is D)

Answer:

(0,3)

Step-by-step explanation:

y = 2x+3

y = -3x+3

Since both equations are equal to y, set them equal to each other

2x+3 = -3x+3

Subtract 3 from each side

2x = -3x

Add 3x to each sdie

2x+3x = -3x+3x

5x =0

Divide by 5

x=0

Now solve for y

y =2x+3

y = 0+3

y=3

(0,3)

Answer:

(0,3)

Step-by-step explanation:

y = 2x+3

y = -3x+3

2x+3 = -3x+3

2x = -3x

2x+3x = -3x+3x

5x =0

x=0

The solve for y

y =2x+3

y = 0+3

y=3

(x,y)=(0,3)

Then (0,3) will be your answer!

Hope this help!