y = -4.r - 2
4x - 2y = -8
​

Answer:

84 Square Feet.

Step-by-step explanation:

In order to calculate the area of a parallelogram, just multiply base by height. So the area of this parallelogram is 14 x 6 = 84 Square Feet.

Answer:

3/2

Step-by-step explanation:

Given y = 2x + 5, let's rewrite the equation in terms of x;

y = 2x + 5 => Bring 5 to the other side

2x = y - 5 => Divide either side by 2

x = (y - 5)/2

If we want to take the inverse, simply swap the variable's positions...

We have y = (x - 5)/2

Now let's determine f^-1(8), substituting for "y" provided y is our inverse, f^-1

f^-1(8) = (8 - 5)/2 = 3/2

Solution: 3/2

Answer:

The distance between two points C=(-1, -3) and H=(2, -8) is 5.831

Step-by-step explanation:

We need to calculate the distance between two points C=(-1, -3) and H=(2, -8)

The formula used to find distance between two points is:

\(Distance=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}\)

We have \(x_1=-1, y_1=-3, x_2=2, y_2=-8\)

Putting values in formula and finding distance:

\(Distance=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}\\Distance=\sqrt{(2-(-1))^2+(-8-(-3))^2}\\Distance=\sqrt{(2+1)^2+(-8+3)^2}\\Distance=\sqrt{(3)^2+(-5)^2}\\Distance=\sqrt{9+25}\\Distance=\sqrt{34}\\Distance=5.831\)

So, the distance between two points C=(-1, -3) and H=(2, -8) is 5.831

Answer:

Anjali started with $39

Step-by-step explanation:

If Anjali was given $14 and now has $53, you have to subtract $14 from $53 to find out how much she started with before receiving the $14 on her birthday.

53 - 14 = 39

so $39 is your answer.

Answer:

(8 / x) + (21 / y)

Step-by-step explanation:

Given that:

Average driving speed = x mph

Miles driven to work = 8 mile

Miles by train to work = 21 miles

Average train speed = y

Total time taken to get to work. :

Recall : time taken = distance / speed

Hence,

Time taken =) total distance / average driving speed)

Total time taken = (8 / x) + (21 / y) hours

Total time taken = (8 / x) + (21 / y) hours

Answer: The average speed of the train is represented by x+20. When Megan drives at an average speed of 45 mph, it takes her approximately 0.50 hour to get to work.

Step-by-step explanation:

Just took the test on plato :)

Answer:

17. D

11. 147 deg

Last problem: 2nd answer

Step-by-step explanation:

17. D

All parallelograms have 4 sides, so all parallelograms are quadrilaterals.

11.

m<B = m<D = 33

m<A + m<B + m<C + m<D = 360

m<A + 33 + m<C + 33 = 360

m<A + m<C = 294

m<A = m<C = (1/2) * 294

m<C = 147

Last problem:

If in a quadrilateral, a pair of opposite sides is both parallel and congruent, then the quadrilateral is a parallelogram. In the second choice, the same pair of sides is parallel and congruent, so this is the answer.

Both the given prism and the example prism have a triangular base, but they differ in their dimensions (base area and height).

The given prism and the example prism share the similarity of having a triangular base. However, they differ in their specific dimensions. The given prism has a base area of 15 square inches and a height of 48 inches. On the other hand, the example prism may have a different base area and height.

The similarity lies in their overall shape, which is a prism with a triangular base. This means both prisms have three rectangular faces and two triangular faces.

However, the specific measurements of their base area and height set them apart, resulting in different volumes and surface areas. The example prism serves as a reference or comparison, while the given prism is characterized by its unique measurements.

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Answer:

Step-by-step explanation:

\(Tan 35 = \dfrac{opposite \ side}{adjacent \ side}\\\\0.7=\dfrac{12}{x}\\\\0.7*x=12\\\\x=\dfrac{12}{0.7}\\\\x=17.1\)

Answer:

2/3, 3/7, 2/5.

Step-by-step explanation:

The easiest way to tell which number is larger is by using a common denominator. For example, when comparing 2/3 and 3/7, the common denominator would be 21. I multiplied 3 by 7 to get 21, and multiplied 7 by 3 to get 21. Therefore, we must multiply the  numerator by the same number. Then, our two numbers are 14/21, and 9/21. Now, we can easily see that 2/3 (14/21) is the bigger fraction.

Example Math:

2/3·1/7 = 2/21

2/21·7 = 14/21

3/7·1/3 = 3/21

3/7·3 = 9/21

Answer:

\((2x + 3y^{2}) (2x + 3y^{2} )^{2}\)

Step-by-step explanation:

\(a^{3} + b^{3} = (a + b) (a^{2} - ab + b^{2})\) where a = 2x and b = \(3y^{2}\)

Answer:

-27/8

Step-by-step explanation:

just times than the power -3

Answer:

$687.5

Step-by-step explanation:

Cost of the rug per square foot = $22

Length of the rug = 31.25 feet

Total amount Mrs brown will pay = Cost of the rug per square foot × Length of the rug

= 31.25 × 22

= $687.5

Total amount Mrs brown will pay = $687.5

A 20 year old has height below 3.7 feet and above 7.9 feet then 20 year old be considered abnormal.

The average height means that the given population determined by the interaction between the environment in which it lives and the resources it commands.

Abnormal means diffrent from what is normal or usual, in a way that worries you or that is unplesant.

We have given that average height is 5.8 feet.

And abnormal height a 20 year old must be 2.1 feet below average height or 2.1 feet above average height.

Therefore 5.8 - 2.1 = 3.7 feet

                 5.8 + 2.1 = 7.9 feet

Hence height below 3.7 feet abd above 7.9 feet is considered to be abnormal.

That means [-∞ , 3.7] and [7.9,∞] is considered to be abnormal height for 20 year old man.

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a) Benjamin's weight at 3 months is 1.93 standard deviations above the national average weight for 3-month-olds.

b) Benjamin's weight at 6 months would need to be 20.11 pounds in order to have the same z-score as his weight at 3 months.

a. For the z-score of Benjamin's weight at 3 months, we can use the formula:

z = (x - μ) / σ

where x is Benjamin's weight, μ is the national average weight, and σ is the standard deviation.

Plugging in the values, we get:

z = (15.4 - 12.5) / 1.5

z = 1.93.

This means that Benjamin's weight at 3 months is 1.93 standard deviations above the national average weight for 3-month-olds.

b. Now , we can use the formula:

z = (x - μ) / σ,

where μ and σ are the national average weight and standard deviation for 6-month-olds, and z is the z-score we calculated earlier (1.93).

Rearranging the formula to solve for x, we get:

x = z σ + μ.

Plugging in the values, we get:

x = 1.93 x 2 + 17.25

x = 20.11 pounds.

Therefore, Benjamin's weight at 6 months would need to be 20.11 pounds in order to have the same z-score as his weight at 3 months.

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Answer:

y = 1/2x + 7

Step-by-step explanation:

The equation is y = mx + b where m is the slope and b is the y-intercept. So you simply plug in 1/2 for m and 7 for b and you get y = 1/2 +7

Answer:

I think the answer is 5 ( if wrong then do a low rating)

Step-by-step explanation:

The way I found the answer was by using PEDMAS so first I handled [(4 - (-5)) x (-7)] which is the same as 4 + -5 which equals -1 and when multiplied by -7 equals positive 7 because whenever you multiply 2 negatives you get a positive.

Next I solved 6 / (-3) which is -2 since whenever a positive is divided by a negative the quotient is negative. Now the equation is:

-2 + 7 and when solved is -2 + 7 = 5

The area of the trapezoid in this problem is given as follows:

A = 102.98 ft².

The area of a trapezoid is given by half the multiplication of the height by the sum of the bases, hence:

A = 0.5 x h x (b1 + b2).

The dimensions for this problem are given as follows:

h = 7.6 ft, b1 = 9.6 ft, b2 = 17.5 ft.

Hence the area of the trapezoid is given as follows:

A = 0.5 x 7.6 x (9.6 + 17.5)

A = 102.98 ft².

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Answer:

  (a)  y -5= -2(x -2)

Step-by-step explanation:

You want the equation of the line perpendicular to y = (1/2)x - 2 that contains the point (2, 5).

Perpendicular lines have slopes that are opposite reciprocals of one another. The slope of the given line is the x-coefficient: 1/2. Its opposite reciprocal is ...

  -1/(1/2) = -2

The point-slope equation of a line is ...

  y -k = m(x -h) . . . . . . . . line with slope m through point (h, k)

You want a line with slope -2 through point (2, 5), so its equation is ...

  y -5 = -2(x -2)

Answer:

D) \(1 < x\leq 4\)

Step-by-step explanation:

1 is not included, but 4 is included, so we can say \(1 < x\leq 4\)

what grade level is this

Answer:

Step-by-step explanation:

Volume of a sphere is

\(V=\frac{4}{3}\pi r^3\) And using r = 11 and pi = 3 (which is so far off, it's ridiculous):

\(V=\frac{4}{3}(3)(11)^3\) which gives us that

V = 5324 in³

Answer:

The correct option is C) 1 over 6 to the 8th power. ·

Step-by-step explanation: · Apply the exponent rule: · Thus, the correct ...

·

Answer:

Step-by-step explanation:

Firstly, `1 / 2` in most programming languages would result in integer division, yielding 0 instead of the expected 0.5. Secondly, there seems to be a missing operator between `x` and `5` in the expression.

To accurately determine the ending value of `y`, we need to address these issues.

The initial calculation `(1 / 2)` should be modified to `(1.0 / 2)` to ensure floating-point division is performed, resulting in the expected value of 0.5. Additionally, assuming the intended operator between `x` and `5` is subtraction, the expression should be corrected as `(1.0 / 2) * (x - 5)`. With these modifications, the value of `y` can be accurately determined.

if we correct the code by using floating-point division and assume subtraction as the intended operator, the ending value of `y` will depend on the value of `x`. In the given case, with `x = 6`, the expression `(1.0 / 2) * (x - 5)` evaluates to `(0.5) * (6 - 5) = 0.5`, resulting in a final value of `y` equal to 0.5.

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Answer:

C. 72

Hope it helps :)

To convert 5.87 x 10^5 centigrams (cg) to kilograms (kg), we need to use the conversion factor of 1 kg = 100,000 cg. Therefore, 5.87 x 10^5 centigrams is equal to 5.87 kilograms.

First, we'll divide 5.87 x 10^5 cg by 100,000 cg/kg to convert centigrams to kilograms:

5.87 x 10^5 cg ÷ 100,000 cg/kg

Next, we'll simplify the expression:

5.87 ÷ 1 x 10^5 ÷ 10^5

Dividing 5.87 by 1 gives us:

5.87 x 10^5 ÷ 10^5

To divide numbers in scientific notation, we subtract the exponents:

5.87 x (10^5 ÷ 10^5)

10^5 ÷ 10^5 equals 1, so the expression simplifies to: 5.87 x 1

Finally, we multiply 5.87 by 1 to get the result: 5.87 kg

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Answer:

Delta Airlines: 783 miles in 3 hours = 261 miles per hour

American Airlines: 510 miles in 2 hours = 255 miles per hour

Southwest Airlines: 1,230 miles in 5 hours = 246 miles per hour

Step-by-step explanation:

American Airlines: 510 miles in 2 hours

Miles per hour = Total miles travelled / number of hours taken

= 510 miles / 2 hours

= 255 miles per hour

Delta Airlines: 783 miles in 3 hours

Miles per hour = Total miles travelled / number of hours taken

= 783 miles / 3 hours

= 261 miles per hour

Southwest Airlines: 1,230 miles in 5 hours

Miles per hour = Total miles travelled / number of hours taken

= 1,230 miles / 5 hours

= 246 miles per hour

Order the airlines with the fastest airline on top, and the slowest airline on bottom

Delta Airlines: 783 miles in 3 hours = 261 miles per hour

American Airlines: 510 miles in 2 hours = 255 miles per hour

Southwest Airlines: 1,230 miles in 5 hours = 246 miles per hour

Answer: Positive correlation

Step-by-step explanation:

As you go up and along the graph the values go up.

Both have to be increasing basically.