Question 3 of 10
A computer randomly puts a point inside the rectangle. What is the probability
that the point lands in square S?
6
3
4
3
s
T
2
B.
Ο Ο Ο Ο

9514 1404 393

Answer:

  b.  g(x) = 2x²

Step-by-step explanation:

The vertices of the two curves are in the same place, so no translation has taken place. This eliminates choices 'a' and 'd'.

A point on the curve g(x) is given. You can test to see which of choices 'b' and 'c' it satisfies.

  B: g(2) = 2(2²) = 8 . . . . matches point (2, 8)

  C: g(2) = (1/2·2)² = 1² = 1 . . . . does not match point (2, 8)

The function g(x) is ...

  g(x) = 2x²

Answer:

19

Step-by-step explanation:

tan35=x/20

20tan35=x

x=14.0041507641942

x+5=19.0041507641942

The nearest foot is 19

well, we're assuming all along that Merina owes Bradford $2000, because in the 1st scenario, she was going to pay twice $1000.

on the 2nd scenario, she'll be paying the same $2000 but split 7 months from now and then 7 months later, same 2000 bucks, at which point Bradford applied 8.5% interest.

using those assumptions, since the wording is not quite clear, we can say that Merina is simply paying 2000 bucks plus the 8.5%

\(\begin{array}{|c|ll} \cline{1-1} \textit{a\% of b}\\ \cline{1-1} \\ \left( \cfrac{a}{100} \right)\cdot b \\\\ \cline{1-1} \end{array}~\hspace{5em}\stackrel{\textit{8.5\% of 2000}}{\left( \cfrac{8.5}{100} \right)2000}\implies 170 \\\\[-0.35em] ~\dotfill\\\\ \cfrac{\stackrel{principal}{2000}~~ + ~~\stackrel{interest}{170}}{2}\implies \stackrel{\textit{two equal payments of}}{1085}\)

Thus, an equation to show the overall price y of renting shoes and bowling x equipment is: y=4x+b.

The task is to create an equation that use the total expense (y) and the total number of bowled games (x). Hence, the way that we will begin is by entering the knowing into the formula of slope intercept form:  y=mx+b.

Thus, we include them in the formula: y=4x+b.

14 = 4(3)+b

Find b

14 = 12+b

14 - 12=b

b = 2

Thus, an equation to show the overall price y of renting shoes and bowling x equipment is: y=4x+b.

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Complete question:

The total cost for bowling includes the fee for shoe rental plus a fee per game. The cost of the game increases the price by $4. After 3 games, the total cost with shoe rental is $14.

a.write an equation to represent the total cost y to rent shoes and bowl x games.

The equation of the line in slope - intercept form is -

y = - 5x + 77.

The equation of a straight line in slope - intercept form is -

y = mx + c

{m} - slope.

{c} - intercept along the y - axis.

Given is the equation as -

77 - y = 5x

We have the equation in the slope - intercept form as -

77 - y = 5x

y = 77 - 5x

y = - 5x + 77

Therefore, the equation of the line in slope - intercept form is -

y = - 5x + 77.

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Answer: C

Step-by-step explanation: Hope this help :D

Answer:

y = 12 x = 12\(\sqrt{3}\)

Step-by-step explanation:

This is a 60, 90, 30. It's a special triangle.

2z = 24

z = 12

If x = z\(\sqrt{3}\)

then x = 12\(\sqrt{3}\)

y = z itself

So y = 12

Answer:

the answer should be 200

Answer:

39 3/8 ft ^2

Step-by-step explanation:

To find the area of a rectangle, multiply the length times the width.

A = l*w

  = 7 1/2  * 5 1/4

Change the mixed numbers to improper fractions.

A = 15/2 * 21/4

    =315/8

Change back to a mixed number.

8 goes into 315 39 times with 3 left over.

 = 39 3/8

Answer:

(you can round to 39.4)

Step-by-step explanation:

Find the area of the rectangle shown

7 1/2 ft

5 1/4ft

7 1/2 = 7.5 ft

5 1/4 = 5.25 ft

Area = L x W

Area = 7.5 x 5.25

Area = 39.375

Answer:

 x =  5   and y = 3     solution is (5, 3)

Step-by-step explanation:

y = x - 2              multiply each term by 2

y = -2x + 13        Do not change

2y = 2x - 4

y = -2x + 13

3y =       9

  y = 9/3

  y = 3

y = x - 2      Substitute y = 3 and solve for x

3 = x - 2

5 = x

Answer:

5m+ t = r

Step-by-step explanation:

m is the miles. t is how long she took. and r is for the time limit of the race.

Answer:

You have the right answer selected, Mohamed is correct.

Answer:

C

Step-by-step explanation:

0.2(7x + 18) ← multiply each term in the parenthesis by 0.2

= 1.4x + 3.6 → C

Answer:

FOR ALL MY POINTS write an argumentative essay on why dog parks are "helpful or harmful"

READ PROMPT

Step-by-step explanation:

Answer:

$2

Step-by-step explanation:

Because Alice sells 10 bracelets for 5 dollars, you have to do 10/5 which is equal to 2. Therefore, 1 bracelet cost $2.

Answer:

$520

Step-by-step explanation:

1% of x is x times 0.01.

that means 10%of x is x times 0.1.

400 times 0.1 is 40.

40 is 10% of 400.

it was marked up by 30% so we need to times by 3.

40 times 3 is 120.

it was marked up so its addition.

400+120=520

Answer:

2(x + 6)

Step-by-step explanation:

If we let the number be "x", then the sum of the number and six is x + 6. To find twice the sum, we multiply this expression by 2:

2(x + 6)

Therefore, the expression that represents twice the sum of a number and six is 2(x + 6)

Answer: vector equation r = (7+3t)i + (4+2t)j + (5 - 5t)k

parametric equations: x = 7 + 3t; y = 4 + 2t; z = 5 - 5t

Step-by-step explanation: The vector equation is a line of the form:

r = \(r_{0}\) + t.v

where

\(r_{0}\) is the position vector;

v is the vector;

For point (7,4,5):

\(r_{0}\) = 7i + 4j + 5k

Then, the equation is:

r = 7i + 4j + 5k + t(3i + 2j - k)

r = (7 + 3t)i + (4 + 2t)j + (5 - 5t)k

The parametric equations of the line are of the form:

x = \(x_{0}\) + at

y = \(y_{0}\) + bt

z = \(z_{0}\) + ct

So, the parametric equations are:

x = 7 + 3t

y = 4 + 2t

z = 5 - 5t

This is an example of descriptive statistics. Descriptive statistics is used to summarize, organize, and present data in a meaningful way.

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Answer:

-2, 3/7, 1/2, 1.2

Step-by-step explanation:

Increasing == least to greatest in value.

-2 = -2

3/7 = 0.429

1/2 = 0.5

1.2 = 1.2

The length of the segment of the MN is 10 units, by using the midpoint formula and distance formula.

The algebraic phrase is known as the distance formula, which provides the distances between two places in terms of their coordinates (see coordinate system). The distance formulas for points in rectangular coordinates in two- and three-dimensional Euclidean space are based on the Pythagorean theorem.

Since M is the midpoint of side AB and N is the midpoint of side AC, we can use the midpoint formula to find the coordinates of points M and N.

Midpoint Formula: (x₁ + x₂)/2, (y₁ + y₂)/2

For M:

(A x + B x)/2, (A y + B y)/2

= (18 + 0)/2, (0 + 0)/2

= 9, 0

For N:

(A x + C x)/2, (A y + C y)/2

= (18 + 20)/2, (0 + 0)/2

= 19, 0

Step 4: Now that we have the coordinates of M and N, we can use the distance formula to find the length of the segment MN.

Distance Formula: √((x₂ - x₁)² + (y₂ - y₁)²)

For MN:

√((19 - 9)² + (0 - 0)²)

= √(100)

= 10

Therefore, the length of the segment MN is 10 units.

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(A)

Step-by-step explanation:

The meal cost $45.25 so 20% of this for tip is

($45.25)(0.20) = $9.05. Since the tip is split between 4 friends, divide this tip by 4 and each one paid ($9.05/4) = $2.26.

Using the concept of word problems and quadratic equation it will take 1 year until the sum of square of their ages be 45.

Word problems are mathematical problems that are delivered in ordinary words, instead of mathematical symbols.

Part of the problem with dealing with word problems that they first need to be translated into mathematical equations, and then the equations need to be solved.In this problem;

let x represent the number of years from now when the sum of square of their respective age will be

45.(x + 2)² + (x + 5)² = 45

Expanding the brackets;

x² + 4x + 4 + x² + 10x + 25 = 45

2x² + 14x + 29 = 45

2x² + 14x + 29 - 45 = 0

2x² + 14x - 16 = 0

Solving the quadratic equation for x;

x = 1, x = -8

Taking the positive value, the value of x is 1

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Hubble's constant in units of km/s/million LY is approximately 21.47.

what is  approximately ?

Approximately means close to or nearly, but not exactly. It is used to indicate that a value or number is an estimation or approximation, rather than an exact value. It is often used when a precise value is not necessary or when the exact value is unknown or difficult to determine.

In the given question,

To convert Hubble's constant from km/s/Mpc to km/s/million LY, we need to multiply it by a conversion factor that accounts for the difference in distance units. We can use the fact that 1 Mpc is equal to 3.26 million LY:

1 Mpc = 3.26 million LY

Therefore, to convert Hubble's constant from km/s/Mpc to km/s/million LY, we can use the following conversion factor:

1 Mpc / 3.26 million LY

Multiplying Hubble's constant by this conversion factor gives:

H = 70 km/s/Mpc x (1 Mpc / 3.26 million LY) = 21.47 km/s/million LY

Therefore, Hubble's constant in units of km/s/million LY is approximately 21.47.

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Answer:

A submarine was situated 800 feet below sea level. If it ascends 250 feet, what is its new ... Roman Civilization began in 508 B.C. and ended in 476 A.D. How long did Roman Civilization last? 476-(-508) = 476+508 = 984 ...

In linear equation , the negative solution is x = -4 .

What is a formula for linear equations?

Let's assume that the number is x

Now according to the question,

When 36 is subtracted from the square of a number, the result is 5 times the number.

 x² -36 = 5x

x² -5x -36 = 0

x²- 9x + 4x -36 = 0

x ( x - 9) +4( x - 9 ) = 0

(x-9) ( x + 4 ) = 0

 x  = 9 , -4

So the negative solution is x = -4

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Answer:

c

Step-by-step explanation: because

Answer:

B

Step-by-step explanation:

the answer is b because i said so you better listen to me

Answer:

B. y = -|x - 2| + 5

Step-by-step explanation:

Here the parent function is |x|. It is flipped and translated upward by 5 units and shifted to the right by 2 units.

y = - |x - 2| + 5

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