y= 6x− 11
−2x− 3y= −7

The answer would be C - "Cheetah B has a higher ratio of miles per minute than Cheetah A because 17 over 8 is less than 56 over 20."

also "get it right please" ?! how rude

The solution to the system of linear equations u = v and 4u = 2v - 12 is (-6, -6)

A system of linear equations is a collection of at least two linear equations.

In this case, the system of equations is given as

u = v and 4u = 2v - 12

Next, we plot the graph of the system of equations

In this case, the point of intersection of the equations represent the solution to the system

From the graph, the lines intersect at (-6, -6)

Hence, the solution is (-6, -6)

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17 cubic units.

The volume (V) of a parallelepiped with one vertex at the origin is given by the absolute value of the scalar vector product of the vectors at the adjacent vertices.

V = |(a x b) · c|

In this case,

a = (1,4,0) = i + 4k + 0j

b = (-2,-5,2) = -2i -5j + 2k

c = (-2,2,1) = -2i + 2j + k

First, let's calculate the cross product of vectors a and b. i.e a x b as follows:

(i) Arrange the vectors in a matrix form

a x b = | i        j         k |

          | 1       4        0 |

          | -2    -5        2 |

(ii) Calculate the determinant of the matrix

a x b = i(8 - 0) -j(2-0) + k(-5+8)

a x b = i(8) -j(2) + k(3)

a x b = 8i - 2j + 3k

Secondly, calculate the scalar product of the cross product found above and the vector c as follows;

(a x b) . c = (8i - 2j + 3k) · (-2i + 2j + k)

Multiply like terms

(a x b) . c = (8 * -2)(i.i) + (-2 * 2)(j.j) + (3 * 1)(k.k)             [i.i = j.j = k.k = 1]

(a x b) . c = (-16) + (-4) + (3)

(a x b) . c = -16 - 4 + 3

(a x b) . c = -17

Thirdly, find the absolute value of the result found above. i.e

|(a x b) . c| = |-17|

|(a x b) . c| = 17

Therefore, the volume of the parallelepiped is 17 cubic units.

If he wants an average of 84, he needs to get at least 93 points.

Remember that the average value between 3 values A, B, and C is:

(A + B + C)/3

Here we know that the first two scores are 76 and 83 points, let's say that the third score is x, if we want to have an average of 84 or more, then we need to solve:

(76 + 83 + x)/3 = 84

159 + x = 252

x = 252 - 159

x = 93

So he needs to get at least 93 points in the next exam.

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Step-by-step explanation:

3500 × 10/100

rs. 350 is the discount

and to find the amnt the customer should pay subtract 350 from 3500

which is,

3150 Rupees

The product of the expression 7 x 63 is 441.

We have,

To find the product of 7 x 63 using the distributive property, we can break down 63 as the sum of its factors, such as 60 and 3:

7 x 63 = 7 x (60 + 3)

Now, we can apply the distributive property by multiplying 7 to each term inside the parentheses:

7 x (60 + 3) = 7 x 60 + 7 x 3

Simplifying further:

7 x 60 + 7 x 3 = 420 + 21

Therefore,

The product of 7 x 63 is 441.

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Answer:

Step-by-step explanation:

-14(8x-34)

First multiply -14 through the entire equation -14*8=-112 and -34*- (-14) =476

Now the equation is -112x + 476 and then subtract 476 from both sides to be able to solve for x

-112x = -476 and finally divide both sides by -112 to isolate x and find the answer

x= 4.25

The given expression \(g^2/3h\) is equivalent to the option (c) \(8g^2/24h\)as we have multiplied 8 in both numerator and denominator.

The given expression is \(g^2/3h\).

Now, to further simplify the expression, we can multiply both numerator and denominator by 8. This gives us:

\((g^2/3h) * (8/8)\)

Simplifying further, we get:

\((8g^2)/(24h)\)

Therefore, the expression equivalent to \(g^2/3h\) is \((8g^2)/(24h)\).

Thus, the given expression \(g^2/3h\) is equivalent to the option (c) \(8g^2/24h\) as we have multiplied 8 in both numerator and denominator.

The numerator is the top part of a fraction, which represents the number of equal parts being considered. It is the value that is above the fraction bar and represents the quantity being divided into equal parts.

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The complete question is :

Which expression is equivalent to \(g^2/3h\)?

Click on the correct answer.

(A) \(g^2+5/3h+5\)

(B) \(6g^2/15h\)

(C) \(8g^2/24h\)

Answer:

good luck

.............

Answer: the third one. filled circle for 4 ,5,6,7,8,9, open circle 10

Step-by-step explanation:

Answer: \(H_0:p=0.29\)

\(H_a: p \neq0.29\)

Step-by-step explanation:

A null hypothesis\((H_0)\) is a type of statement used in statistics that proposes that there is no difference between particular characteristics of a population whereas the alternative hypothesis\((H_a)\) proposes that there is a difference.

Let p be the population proportion of workers got their job through networking.

Given: 29% of workers got their job through networking.

i.e. \(H_0:p=0.29\)

A researcher feels this percentage has changed.

i.e. \(H_a: p \neq0.29\)

Hence, the required null and alternative hypotheses in symbolic form for this claim:

\(H_0:p=0.29\)

\(H_a: p \neq0.29\)

Answer:

No, none of the number need to be 48 for the mean to be 48. To get a mean, you add up all the number and divide it by the amount of numbers.

Example:

the mean of 10, 79, 42, 88, 19, and 50 is 48, but the actual number 48 was not part of the set.

10 + 79 + 42 + 88 + 19 + 50 = 288

288 ÷ 6 = 48

Answer:

8/4 + 4/4

Step-by-step explanation:

Try it im not good at math :( but hope it helps :(:

There are a total of 8 color-wheel size combinations for the kickboard scooter. This means that customers have 8 different options to choose from when selecting the color and wheel size for their scooter.

To determine the total number of color-wheel size combinations for the kickboard scooter, we need to multiply the number of color options by the number of wheel size options.

Given that there are 4 color options (silver, red, blue, and purple) and 2 wheel size options (125mm and 180mm), we can use the multiplication principle to find the total number of combinations:

Total combinations = Number of color options × Number of wheel size options

Total combinations = 4 colors × 2 wheel sizes

Total combinations = 8

There are a total of 8 color-wheel size combinations for the kickboard scooter. This means that customers have 8 different options to choose from when selecting the color and wheel size for their scooter.

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Answer:

56

Step-by-step explanation:

two of the angles are the same meaning the bottom two are 62. angles in a triangle add up to 180° so you just do 62 + 62 and then take the answer away from 180

62+62=124

180-124=56

The probability 1000, 1600, and 1776 were leap years according to the calendar used before the time of pope gregory, but 1492 was not.

The calendar used before the time of Pope Gregory was the Julian Calendar, which was introduced by Julius Caesar in 46 BC. This calendar used a system of leap years, where an extra day was added to the month of February every four years. This was to account for the fact that a solar year is slightly longer than 365 days. For a year to be a leap year under this system, it must be divisible by 4. Therefore, 1000, 1600, and 1776 were leap years according to the Julian Calendar, but 1492 was not since it is not divisible by 4. This calendar was replaced by the Gregorian Calendar in 1582, which uses a slightly modified leap year system. Under this system, a year is only a leap year if it is divisible by 4, but not if it is divisible by 100, unless it is also divisible by 400. Therefore, 1600 would still be a leap year under the Gregorian Calendar, but 1700, 1800, and 1900 would not be.

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The number whose (1/100)th fraction is 0.5 is 50.

In Mathematics, fractions are represented as a numerical value, which defines a part of a whole.

Given is a decimal number 0.5 which is 1/100 of a specific number.

Assume that the number, whose (1/100)th part is 0.5 be a.

Mathematically, we can write -

1/100 of a = 0.5

1/100 x a = 1/2

a = 100/2

a = 50

Therefore, the number whose (1/100)th fraction is 0.5 is 50.

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Answer:

Possibly 3

Step-by-step explanation:

Lets say

g=girls

b=boys

1st option: gbbbg

2nd option: bbbgg

3rd option: ggbbb

Answer:

Interval notation: (-11, 9)

Step-by-step explanation:

In the given bounded inequality interval, -11 < x < 9

When a number acts as the boundary point for an interval, (also called an endpoint), we use a set of parenthesis "(  )" for boundary points that are not included. Also, the less than "<" symbol implies that the endpoints are excluded.

Therefore, we can express the given inequality statement in interval notation as: (-11, 9).

On the number line, there should be open (or empty) circles on the endpoints -11 and 9.

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Answer:

Step-by-step explanation:

It is the point where the graph passes through the y-axis.

So if it passes through the point where y = 2,  the y-intercept is (0, 2) - note the x coordinate is 0 at this point.

If we are asked to find the y-intercept of the graph of the equation y = 3x - 4

we put  x = 0 and work out y as follows:

y = 3(0) - 4 = 0 - 4

y = -4

so the y-intercept is (0, -4).

(a) The closed form for ∑2 is 2.

(b) The closed form expression for ∑3 is 24.

(c) The closed form for the sum ∑n = 0(― 1)² ― 1 is n(1 - n) / 2.

(d) The value of -3 matches the manual computation of the four terms.

Our closed form solution is correct.

To find the closed form for ∑2, we can use the formula for the sum of the first n terms of an arithmetic series:

∑2 = n(a + l) / 2

In this case, a = 2 (the first term) and l = 2 (the last term) since we are summing a series of 2's.

We also know that there is only one term, so n = 1.

Substituting these values into the formula, we have:

∑2 = 1(2 + 2) / 2

= 4 / 2

= 2

The formula for the sum of the first n terms of an arithmetic series is:

∑n = n(a + l) / 2

In this case, we have a = 3 (the first term), l = 13 (the last term), and n = 3 (the number of terms).

Substituting these values into the formula, we get:

∑3 = 3(3 + 13) / 2

= 3(16) / 2

= 48 / 2

= 24

The formula we developed in class is:

∑n = n(a + a + (n - 1)d) / 2

In this case, we have a = 0 (the first term) and d = -1 (the common difference).

Substituting these values into the formula, we get:

∑n = n(0 + 0 + (n - 1)(-1)) / 2

= n(0 - n + 1) / 2

= n(1 - n) / 2

To test the closed form solution for ∑3 = 0(― 1)² ― 1, we substitute n = 3 into the closed form expression we derived in part (c):

∑3 = 3(1 - 3) / 2

= 3(-2) / 2

= -6 / 2

= -3

Now, let's manually compute the sum of the first four terms of ∑3 = 0(― 1)² ― 1:

0(― 1)² ― 1 + 1(― 1)² ― 1 + 2(― 1)² ― 1 + 3(― 1)² ― 1

= 0 - 1 - 2 - 3

= -6

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We can see here that the data set approximately periodic. The period and amplitude is: Periodic with a period of 4 and an amplitude of about 30.

The size or magnitude of a wave or vibration is measured by its amplitude in physics. It describes the greatest deviation of a wave from its equilibrium or rest state, or the greatest intensity of an electromagnetic or sound wave.

When referring to waves, amplitude is commonly calculated as the distance between a wave's peak or trough and its resting position.

We can deduce that the values are being repeated at regular interval of four (4).

For the amplitude:

\(Amplitude: \frac{140 - 74}{2}\)

Amplitude = 33 ≈ 30.

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Answer:

y = (x + 4)²

Step-by-step explanation:

Given equation is,

y = x²+ 8x + 16

By using identity (a + b)² = a² + 2ab + b²

y = x² + 2(4)(x) + 4²

Here a = x and b = 4

y = (x + 4)²  

Therefore, factored form of the given equation is y = (x + 4)²

The decimal 0.7 is less than 0.4.

We have to determine

decimal is less than 0.4

A decimal number can be defined as a number whose whole number part and the fractional part is separated by a decimal point.

We know that the decimal numbers increase in size as we move to

The right on the number line

0.4 is less than 0.7.

Let us now compare 1.57 and 1.6.

Therefore, The decimal 0.7 is less than 0.4.

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Explanation:

r = cost of irons

w = cost of woods

These costs are in dollars. They are some positive real number.

The irons cost $90 more than the woods, so r = w+90

The total cost is $530, leading to r+w = 530

We can apply substitution to solve for w

r+w = 530

(r) + w = 530

(w+90) + w = 530 .... replace r with w+90

w+90+w = 530

w+w+90 = 530

2w+90 = 530

2w+90-90 = 530-90 ... subtract 90 from both sides

2w = 440

2w/2 = 440/2 .... divide both sides by 2

w = 220

A set of woods golf clubs cost $220

This must mean

r = w+90

r = 220+90

r = 310

The set of irons cost $310

---------------------

Check:

(woods cost)+(irons cost) = (220) + (310) = 530

This confirms the answer.

Answer: 5/2

Step-by-step explanation:

slope equation: (y2-y1)/(x2-x1)

13-3/5-1 = 10/4 or 5/2

Answer:

2.5

Step-by-step explanation:

Gradient (slope) =

\(m = \frac{y2 - y1}{x2 - x1} = \frac{13 - 3}{5 - 1} = \frac{10}{4} = 2 \frac{1}{2} \)

Answer:

∠ T and ∠ Y

Step-by-step explanation:

the corresponding angles are the letters that have the same position in the names of the 2 triangles , that is

∠ R and ∠ W ( first letters in each of the 2 triangles )

∠ S and ∠ X ( second letters in each of the 2 triangles )

∠ T and ∠ Y ( third letters in each of the 2 triangles )

then the only letters ( angles ) from the list ,corresponding are

∠ T and ∠ Y

Answer:

Angle T and angle Y are corresponding angles.

Answer:

5 ≤ L ≤ 35

Step-by-step explanation:

Let w represent the width of the rectangle.

The perimeter (P) of the rectangle is given by:

P = 2w + 2L

Where L is the length of the rectangle.

We know that w = 30 cm and that the perimeter is between 100 and 160 cm. We can now set up our compound inequality:

100 ≤ 2(30) + 2L ≤ 160

100 ≤ 90 + 2L ≤ 160

10 ≤ 2L ≤ 70

We can now divide both sides by 2 to solve for L:

5 ≤ L ≤ 35

Therefore, the compound inequality that represents the graph of a rectangle with a width of 30 centimeters and a perimeter of 100 centimeters to 160 centimeters is:  5 ≤ L ≤ 35