2) If r=9, b=5, g=-6 , what does (r+b-g)(b+g) equal? A)-20 B) -8 C)8 D)19 E)20

Answer:

208 calories

Step-by-step explanation:

You have to divide 624 by 3, and you get 208.

The traveler must walk 17 blocks to reach the State Building.

The traveler needs to walk 8 blocks from the intersection of Orovada Street and Washington Avenue to the State Building.

She also knows that the intersection of Orovada Street and Washington Avenue is 5 blocks from the intersection of Wyoming Street and Washington Avenue, so she needs to walk 5 blocks from the intersection of Wyoming Street and Washington Avenue to the intersection of Orovada Street and Washington Avenue.

Also, the traveler had to walk 4 blocks to get from the intersection of Wyoming Street and Green Avenue to the intersection of Orovada Street and Green Avenue.

Therefore, the traveler must walk 8 + 5 + 4 = 17 blocks to reach the State Building.

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Answer:

It takes the neighor's hose 3 hours to fill the pool and it takes Sully's hose 6 hours to fill the pool if each filled alone.

Step-by-step explanation:

This is a work problem, and the way these are done is to figure the amount that each can do based on how much can get done in a single hour.  

First thing, in order to have only one variable, we have to put one hose in terms of the other hose.  

We know that it takes the neighbor's hose a certain amount of time (there's our unknown) to fill the pool and that it takes Sully's hose that same time plus 3 hours.

neighbor's hose can get the job done in x time

Sully's hose can get the job done in x + 3 time

Now we will figure out how much each can do in a single hour.

If the neighbor's hose takes x hours to fill the pool, then it can get

of the pool filled in 1 hour.

If Sully's hose takes x + 3 hours to fill the pool, then it can get

of the pool filled in 1 hour.

The sum of these takes 2 hours total and 1/2 of the pool gets filled in 1 hour.

Our equation then is:

This equation states in words:

"the amount of the pool that the neighbor's hose can fill in an hour plus the amount of the pool that Sully's hose can fill in an hour will fill half the pool".

Solving for x will give us that time.

Begin to solve this by finding the LCM of those denominators and getting rid of the fractions by reducing.  The LCM will be 2x(x + 3).  Multiplying each term by that LCD looks like this:

In the first term the x's cancel out, in the second term the (x + 3) cancels out, and in the last term the 2's cancel out leaving us with:

and simplifying gives us:

This is a quadratic that will have to be factored to solve for those values of x.  Combine like terms and get everything on one side to get:

Factor this however you find easiest to get the values:

x = 3 hours and x = -2 hours

We all know that the 2 things in math that will never EVER be negative are times and distances/measures, so we can disregard the -2 and say that

x = 3 hours.  

To answer our question, then;

It takes the neighbor's hose 3 hours to fill the pool; it takes Sully's hose 3+3 hours = 6 hours to fill the pool.

The percentage of students at the college have a GPA between 2.3 and 3.3 is C. 68.26%.

How far is 2.3 from 2.8. This will be:

= (2.3-2.8) = -0.5

That means 2.3 is one standard deviation to the left of the mean.

How far is 3.3 from 2.8? This is (3.3-2.8) = 0.5

That means 3.3 is one standard deviation to the right of the mean.

According to the empirical rule 68% of normally distributed data is within 1 standard deviation of the mean.

Therefore, the correct option is C.

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At one college GPA's are normally distributed with a mean of 2.8 and a standard deviation of .5. What percentage of students at the college have a GPA between 2.3 and 3.3?

a)84.13% b)99.74% c) 68.26% d) 95.44%

Answer:

8.75

Step-by-step explanation:

7/4 = 1.75 and ?/5 (5x1.75) = 8.75

Answer:

A)  x = 11 tan 49°

B) 12.7 inches

C) 14.7 inches

Step-by-step explanation:

(refer to attached for reference)

Let the length of the vertical side of the triangular sail be x

recall that for right angle triangle, the following trigonometric relation applies:

tan θ = length of opposite side / length of adjacent side

in our case,

θ = 49°

length of adjacent side = 11 inches

length of opposite side = length of vertical edge of sail = x (which we defined above)

hence we can assemble our formula

tan 49° = x / 11  (rearranging)

x = 11 tan 49°  (Answer for A)

Using a calculator to solve this gives

x = 12.65 inches

x = 12.7 inches (to nearest tenth)   (Answer for B)

The height of the mast is merely the height of the sail plus the 2" length of mast extending below the sail.

Mast height = 12.7" + 2" = 14.7"   (Answer for C)

Unit Fill Rate: The percentage of a customer's purchase that was shipped on time. This statistic calculates the quantity and time elapsed after the order was dispatched, rather than when the client made the purchase.

On-time delivery is a key performance indicator (KPI) used by ecommerce and other delivery organizations to evaluate their ability to complete a client purchase by the specified delivery date.

The metric used to quantify supply chain efficiency is on-time delivery, or OTD. This KPI indicates whether or not an organization is meeting its goals in terms of promised delivery times, and it is critical for measuring carrier performance as well as maintaining customer satisfaction.

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Answer:

A = 228 tickets

Step-by-step explanation:

We need to set up a system of equation to find the number of adult tickets sold, where A represents the adult tickets and S represents the student tickets.

Because the number of adult and student tickets together equals 506, we have A + S = 506.

Because there are 56 more student tickets than adult tickets we have A + 56 = S

And the way the system is already set up allows us to use substitution.

Thus, we have:

\(A + S=506\\A+56 = S\\\\A+A+56 =506\\2A+56=506\\2A=456\\\\A=228\\228+56=S\\278=S\)

The number of student tickets was not necessary to find in this problem, but I found anyway just in case you wanted check the work or wanted to prove the validity of the values.

Answer:

C.  5x(-x + 2)

Step-by-step explanation:

To factor the expression -5x² + 10x, we need to look for a common factor that can be factored out.

Finding a common factor involves identifying a term or expression that can be factored out from each term of a given expression.

Both terms have the common factor of 5x, so we can factor out 5x:

5x(-x + 2)

Therefore, the factored form of -5x² + 10x is -5x(x - 2).

\(\hrulefill\)

Additional notes:

If we expand the expressions in the given answer options, we get:

  A.  −5x(x + 2) = -5x² - 10x

  B.  5(−x² + 10x) = -5x² + 50x

  C.  5x(−x + 2) = -5x² + 10x

  D.  x(5x + 10) = 5x² + 10x

Hence confirming that the correct answer is option C.

To factor \(-5x^2+10x\), we can begin by factoring out the greatest common factor, which is \(-5x\):

We can check our answer by distributing \(-5x\) to the expression inside the parentheses:

\(\therefore\) The answer is \(-5x(x-2)\).

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Answer:

the third choice

Step-by-step explanation:

because j is not a angle it is part of a angle

Answer:

D. A pair of intersecting lines

Step-by-step explanation:

A conic section is a fancy name for a curve that you get when you slice a double cone with a plane. Imagine you have two ice cream cones stuck together at the tips, and you cut them with a knife. Depending on how you cut them, you can get different shapes. These shapes are called conic sections, and they include circles, ellipses, parabolas and hyperbolas. If you cut them right at the tip, you get a point. If you cut them slightly above the tip, you get a line. If you cut them at an angle, you get two lines that cross each other. That's what happened in your question. The plane cut the cone at an angle, so the curve is two intersecting lines. That means the correct answer is D. A pair of intersecting lines.

I hope this helps you ace your math question.

Answer: The equation y = 3x - 4 is a linear equation in slope-intercept form, where the slope (3) is the coefficient of x and the y-intercept (-4) is the constant term. To find a solution for this equation, we can substitute a specific value of x and solve for the corresponding value of y.

For example, if we let x = 2, we can substitute it into the equation:

y = 3(2) - 4 = 6

So the solution for x=2 is y=6

We can also graph this equation, it will be a straight line with slope 3 and y-intercept (-4)

Step-by-step explanation:

Given:

The given vector is u=<7,9>.

Required:

We need to find two vectors in opposite directions that are orthogonal to the vector u.

Explanation:

Recall that two vectors are orthogonal if their dot product equals 0.

Let v be the orthogonal vector to u.

Final answer:

The points on a parabola with the focal axis parallel to the abscissa axis, of parameter p and A, B is -12.

Since A and B are points on the parabola, write two equations using the general form of the parabolic equation:

(x - h)² = 4p(y - 1)

The focal axis is parallel to the x-axis, so the distance from the vertex to the focus is equal to p. Therefore, use the distance formula to write an equation for the distance between the vertex and point A:

√((13 - h)² + (a - 1)²) = p

Similarly, write an equation for the distance between the vertex and point B:

√((4 - h)² + (b - 1)²) = p

A and B lie on the line 2x - y - 13 = 0, so substitute the x and y coordinates of A and B into this equation and solve for a and b:

2(13) - a - 13 = 0

2(4) - b - 13 = 0

Solving these equations gives us a = 3 and b = -5.

Now three equations and three unknowns (a, b, and h):

√((13 - h)² + 4) = p + 1

√((4 - h)² + 36) = p + 1

2h - 3 - 13 = 0

The third equation simplifies to 2h = 16, or h = 8.

Substituting this value of h into the first two equations and squaring both sides:

(13 - 8)² + 4 = (p + 1)²

(4 - 8)² + 36 = (p + 1)²

Simplifying these equations and solving for p gives us p = 3.

Finally, find a" + bP by substituting the values found for a, b, and p:

a" + bP = 3 + (-5)(3) = -12

Therefore, the solution is a" + bP = -12.

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Answer:

To calculate Karl Pearson's coefficient of skewness, we need to use the formula:

Skewness = 3 * (Mean - Mode) / Standard Deviation

Given the Mean = 73.19, Mode = 79.56, and Variance = 16, we need to find the Standard Deviation first.

Standard Deviation = √Variance = √16 = 4

Now we can substitute the values into the formula:

Skewness = 3 * (73.19 - 79.56) / 4

Skewness = -6.37 / 4

Skewness = -1.5925

Rounded to four decimal places, the Karl Pearson's coefficient of skewness for the given values is approximately -1.5925.

Answer:

3. y = -3x + 2

4. y = 3x - 5

Step-by-step explanation:

Slope-intercept form equation is given as y = mx + b.

3. First, using two points on the line, (0, 2) and (1, -1), find the slope (m).

Slope (m) = change in y / change in x = (-1 - 2)/(1 - 0) = -3/1

m = -3

Find the y-intercept (b):

The y-intercept (b) = 2 (this is where the line intercepts the y-axis)

b = 2

✅To write the equation, substitute m = -3 and b = 2 into y = mx + b

Thus:

y = -3x + 2

4. Using two points on the line, (2, 1) and (0, -5), find the slope (m).

Slope (m) = change in y / change in x = (-5 - 1)/(0 - 2) = -6/-2 = 3

m = 3

Find the y-intercept (b):

The y-intercept (b) = -5 (this is where the line intercepts the y-axis)

b = -5

✅To write the equation, substitute m = 3 and b = -5 into y = mx + b

Thus:

y = 3x + (-5)

y = 3x - 5

Answer:

0.55 ; 0.32 ; 0.7

Step-by-step explanation:

Let :

Spanish = S ; French = F ; German = G

SnFnG = 3

(SnF) only = 9 - 3 = 6

(SnG) only = 5 - 3 = 2

(FnG) only = 5 - 3 = 2

S only = 28 - (6+3+2) = 17

F only = 21 - (2+3+2) = 14

G only = 12 - (6+3+2) = 1

Student not taking any of the classes :

(100 - (17+14+1+2+2+6+3))

100 - 45 = 55

A.) P(not taking any language class).

Required outcome = 55

Total possible outcomes = 100

= 55 / 100 = 0.55

B.)

P(taking exactly one language class)

(S only + F only + G only) / 100

(17 + 14 + 1) / 100

= 32/100

= 0.32

C.)

Atleast 1 is taking a language class out of 2 selected

Possibilities :

(taking and not taking) ;

(not taking and taking) ;

(taking and taking)

(45/100 * 55/99) + (55/100 * 45/99) + (45/100 * 44/99) = 0.7

We have the following:

Therfeore, the answer is 2,733

Answer:

There is one solution. The solution is 2, 18, 19.

Step-by-step explanation:

If you want me to show working tell me in the comments and I'll edit the answer

Answer:

A. (2, 18, -19)

Step-by-step explanation:

To solve:

Z is the most suitable variable to remove first

Add the first equation to the second equation: (this conveniently removes both y and z)

(x+y-z) + (4x-y+z) = 1+9

Simplify

5x = 10

Solve

x = 2

Multiply the second equation by 2 and minus it to the third equation: (Solve for y)

2(4x-y+z) - (x-3y+2z) = 2(9) - (-14)

Simplify

8x-2y+2z-x+3y-2z=18+14

7x+y=32

Substitute using x=2

7(2) + y = 32

y = 32 - 14

y = 18

Now substitute x and y for their respective values into Equation 1

2 + (-18) - z = 1

Simplify

-z = 19

z = -19

So :

x = 2, y = 18 , z = -19

Answer:

10 16

Step-by-step explanation:

when x= 0 h(x)=2x²-3x+10

⇒ h(0)=2*0²-3*0+10=10

when x= 4 h(x)=\(2^{x}\)

⇒ h(4)=\(2^{4}\)=16

The value of the given piecewise function at \(x=0\) is \(h(0)=10\) and the value of the function at \(x=4\) is \(h(4)=16\).

Important information:

         \(h(x)=\begin{cases}3x-4, &x < 0 \\ 2x^2-3x+10, &0\leq x < 4 \\ 2^x, & x\geq 4\end{cases}\)

The function for \(x=0\) is \(h(x)=2x^2-3x+10\).

\(h(0)=2(0)^2-3(0)+10\)

\(h(0)=10\)

The function for \(x=4\) is \(h(x)=2^x\).

\(h(4)=2^4\)

\(h(4)=16\)

Therefore, the required values of the piecewise function are \(h(0)=10\) and \(h(4)=16\).

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Answer:

13.27 cm

Step-by-step explanation:

I am using (xy) to mean the length of the side xy

7^2 + (xy)^2 = 15^2

49 + (xy)^2 = 225

(xy)^2 = 225-49

(xy)^2 = 176

Side (xy) = sqrt(176) = 13.2664991614 = 13.27 cm

Answer:

Also could you mark my answer as brainliest? It helps and doesnt hurt

Answer:

There are two solutions

1: -7/4

2: -1

Step-by-step explanation:

Hope this helps

Brain-List?

Traveling from Earth to Mars is approximately 9.249626 x 10^7 km farther than traveling from Earth to the moon.

Earth to Mars is compared to traveling from Earth to the moon, we need to calculate the difference between the distances.

The distance from Earth to the moon is approximately 3.74 x 10^5 km.

The distance from Earth to Mars is approximately 9.25 x 10^7 km.

To find the difference, we subtract the distance to the moon from the distance to Mars:

9.25 x 10^7 km - 3.74 x 10^5 km

To subtract these numbers, we need to make sure the exponents are the same. We can rewrite the distance to the moon in scientific notation with the same exponent as the distance to Mars:

3.74 x 10^5 km = 0.374 x 10^6 km (since 0.374 = 3.74 x 10^5 / 10^6)

Now we can perform the subtraction:

9.25 x 10^7 km - 0.374 x 10^6 km = 9.25 x 10^7 km - 0.374 x 10^6 km

To subtract, we subtract the coefficients and keep the same exponent:

9.25 x 10^7 km - 0.374 x 10^6 km = 9.25 x 10^7 - 0.374 x 10^6 km

Simplifying the subtraction:

9.25 x 10^7 - 0.374 x 10^6 km = 9.249626 x 10^7 km

Therefore, traveling from Earth to Mars is approximately 9.249626 x 10^7 km farther than traveling from Earth to the moon.

Scientific notation is a convenient way to express very large or very small numbers. It consists of a coefficient (a number between 1 and 10) multiplied by a power of 10 (exponent). It allows us to write and manipulate such numbers in a compact and standardized form.

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The following percentages are listed below:

In this question we have seven cases of real life situations in which percentages are used. Mathematically speaking, percentages are represented by the following expression:

x = r / r' × 100       (1)

Where:

Now we proceed to determine quantities related to percentages:

2.8 mm as a per cent of 2.24 cm

x = (2.8 mm / 22.4 mm) × 100 %

x = 12.5 %

What per cent of 1.5 m is 60 cm?

x = (60 cm / 150 cm) × 100 %

x = 40 %

What per cent of 2 kg is 125 g?

x = (125 g / 2000 g) × 100

x = 6.25 %

What per cent of R 6 to 40 p?

x = (40 / 600) × 100

x = 6.667 %

What per cent of a day is 10 h?

x = (10 h / 24 h) × 100

x = 41.667 %

What per cent of 7 1 / 3 m in 5 1 / 2 m ?

x = [(11 / 2) / (22 / 3)] × 100 %

x = 75 %

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Answer:

52

Step-by-step explanation:

Also Written as:

((21+22)+9)+(10*0)

Using the PEMDAS also known as Order of operations.

((21+22)+9)+(10× 0) {10× 0 = 0}

((21+22)+9)+(0)

Then, it will look like this below:

((21+22)+9)

Now add then all together..

21 + 9 = 30

30 + 22 = 52

Input Equation:

Input Equation:

= ((21+22)+9)+(10*0)

= ((43)+9)+(10*0)

= (43+9)+(10*0)

= (52)+(10*0)

= 52+(10*0)

= 52+(0)

= 52+0

= 52

Hence, the answer is 52.

[RevyBreeze]

Answer:

Step-by-step explanation:

This problem has been solved! You'll get a detailed solution from a subject matter expert that helps you learn core concepts.

Therefore , the solution of the given problem of equation comes out to be total cost for 866 minutes is $1487.

The similar symbol (=) is used in arithmetic equations to signify equality between two statements. It is shown that it is possible to compare various numerical factors by applying mathematical algorithms, which have served as expressions of reality. For instance, the equal sign divides the number 12 or even the solution y + 6 = 12 into two separate variables many characters are on either side of this symbol can be calculated. Conflicting meanings for symbols are quite prevalent.

Here,

Given :

customer uses 390 minutes , the monthly cost will be $178.

customer uses 940 minutes, the monthly cost will be $398.

To find an equation ,

where x is number of monthly minutes

and y is total monthly of splint plan.

So , equation is :

=> y =mx +b

For first case :

=> 178 = 390x + b

Second case :

=> 398 = 940x + b

Solve for x:

=> 178 - 390x = 398 - 940x

=> -200x = - 550

=> x = 550/200

=>x = 55/20

=>x = 11/4

=> x = 2.75

For value of b

=>  178 = 390(2.75) + b

=> 178 - 1072.5 = b

=> -894.5 = b

B)

=> y = 866(2.75) - 894.5

=> y = 2381.5 - 894.5

=> y = 1487

Therefore , the solution of the given problem of equation comes out to be total cost for 866 minutes is $1487.

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1) To better visualize it let's draw that bisected angle

According to the Bisector theorem, those angles are congruent therefore we can write an equation:

3x-2=9x-26

-2+26=9x-3x

24=6x

6x=24

x=4

m RST = (3x -2) + (9x -26)

m RST = 3(4) -2 +9(4) -26

m RST = 12 -2 +36 -26

m RST = 10 +10

mRST = 20º

Answer:

C: EAF Is the correct answer