In a video game, you move a spaceship 1 unit left and 4 units up. Then you move the spaceship 2 units left. Rewrite the composition as a single transformation by writing a rule

Answer:

2.5

Step-by-step explanation:

I took the test :)

The net price of the saws that Black & Decker Manufacturing sold to True Value Hardware on a chain discount of 8/3/1 is $3,357.21.

A chain discount refers to a type of discount offered to customers, which is sequentially applied to the list price to arrive at the net price.

Chain discounts involve a series of trade discounts applied in sequence.

List price = $3,800

Chain discount = 8/3/1

First net price = $3,496 ($3,800 x 1 - 8%)

Second net price = $3,391.12 ($3,496 x 1 - 3%)

Third net price = $3,357.21 ($3,391.12 x 1 - 1%)

Thus, the net price based on a chain discount of 8/3/1 is $3,357.21.

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Answer:

it is B bc if you put them together and add them

Answer:

Step-by-step explanation:

we are given that these two fractions are equal. however, 20/r is just given in numerators and denominators that are four times as large, even though it is still equal to 5/7. we can tell this because 20 is 4 times larger than 5, which means that R must be 4 times larger than 7, right? YES. so we take 7*4 to get 28.

The area of the triangle with angle B = 128°, side a = 86, and side c = 37 is approximately 2302.7 square units.

To find the area of a triangle when one angle and two sides are given, we can use the formula for the area of a triangle:

Area = (1/2) * a * b * sin(C),

where a and b are the lengths of the two sides adjacent to the given angle C.

In this case, we have angle B = 128°, side a = 86, and side c = 37. To find side b, we can use the law of cosines:

c² = a² + b² - 2ab * cos(C),

where C is the angle opposite side c. Rearranging the formula, we have:

b² = a² + c² - 2ac * cos(C),

b² = 86² + 37² - 2 * 86 * 37 * cos(128°).

By substituting the given values and calculating, we find b ≈ 63.8.

Now, we can calculate the area using the formula:

Area = (1/2) * a * b * sin(C),

Area = (1/2) * 86 * 63.8 * sin(128°).

By substituting the values and calculating, we find the area of the triangle to be approximately 2302.7 square units.

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The number of minutes to read is 6.25 pages and taking the test will be 5 minutes and 0.50 minutes, respectively.

The rate is the ratio of the amount of something to the unit. For example - If the speed of the car is 20 km/h it means the car travels 20 km in one hour.

It takes you 0.8 of a minute to read each page of your health book. It takes you 5.5 minutes to take the test at the end.

The number of minutes to read 6.25 pages will be given as,

⇒ 6.25 x 0.8

⇒ 5 minutes

The number of minutes to take the test will be given as,

⇒ 5.5 - 5

⇒ 0.50 minute

⇒ 0.50 x 60

⇒ 30 seconds

The number of minutes to read is 6.25 pages and taking the test will be 5 minutes and 0.50 minutes, respectively.

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Answer:

A) 150%

B) 20.67 J

Step-by-step explanation:

A) To determine the efficiency of the engine, we can use the formula:

efficiency = (work output / heat input) x 100%

In this case, the engine does 62 J of work each cycle, so the work output is 62 J. We're also given that the engine absorbs 2 times as much heat as it discharges to the environment, so we can express the heat input as 2 times the heat discharged:

heat input = 2 x heat discharged

Therefore, we can rewrite the efficiency formula as:

efficiency = (62 J / (2 x heat discharged)) x 100%

Simplifying this expression, we get:

efficiency = 31 J / heat discharged

Now we need to determine the value of heat discharged. We know that the engine absorbs 2 times as much heat as it discharges, so the net heat input is 3 times the heat discharged:

net heat input = heat input - heat discharged = 2 x heat discharged - heat discharged = heat discharged

Therefore, we can express the net heat input as:

net heat input = 3 x heat discharged

Now we can use the first law of thermodynamics, which states that the net heat input is equal to the work output plus the heat discharged:

net heat input = work output + heat discharged

Substituting the given values, we get:

3 x heat discharged = 62 J + heat discharged

Solving for heat discharged, we get:

heat discharged = 20.67 J

Now we can calculate the efficiency:

efficiency = 31 J / 20.67 J = 1.50 or 150%

Therefore, the efficiency of the engine is 150%.

B) To determine the quantity of heat discharged to the environment each cycle in Joules, we can use the value we calculated above for heat discharged:

heat discharged = 20.67 J

Therefore, the quantity of heat discharged to the environment each cycle is 20.67 J.

Hope this helps!

Given :

b)

If he reflected the point (-3, 7) over the y-axis it will end up in the first quadrant.

*The transformation rule is (x, y) -> (-x, y) so, x & y-components will be positive, thus being in the first quadrant.

The mass of the cubic cuboid is 1.479 kilograms.

Dimensionally speaking, density (ρ), in kilograms per cubic meter, is mass (m), in kilograms, per unit volume (V), in cubic meters. By the assumption of uniform density within the copper cuboid, the mass of the solid is equal to:

m = ρ · V

Where V is the volume of cuboid, in cubic meters.

And the volume of cuboid is:

V = w · h · l

Where:

Please notice that a kilogram equals 1000 grams and a meter equals 100 centimeters.

First, calculate the volume of the cuboid:

V = (0.05 m) · (0.03 m) · (0.10 m)

V = 1.5 × 10⁻⁴ m³

Second, determine the mass of the cuboid:

m = (9.86 g / cm³) · (1 kg / 1000 g) · (1000000 cm³ / m³) · (1.5 × 10⁻⁴ m³)

m = 1.479 kg

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Horizontal Asymptote

Observing the graph with the red dashed line, the horizontal asymptote of the function is at y = 6

Vertical asymptote

If we draw a line the graph we have the following

This indicates that the vertical asymptote is at x = 2.

Rounded to the nearest tenth, the acceleration in inches per second squared is approximately 15222.8 in/s².

To convert the acceleration from meters per second squared (m/s²) to inches per second squared (in/s²), we need to use the conversion factor between the two units.

1 meter is equal to 39.37 inches.

To convert the units, we can set up the following conversion factor:

1 m/s² = (39.37 in/m)^2 = 1550.0031 in/s²

Now, we can multiply the given acceleration in m/s² by the conversion factor to obtain the acceleration in in/s²:

Acceleration in in/s² = 9.81 m/s² * 1550.0031 in/s²

Acceleration in in/s² ≈ 15222.7568 in/s²

Rounded to the nearest tenth, the acceleration in inches per second squared is approximately 15222.8 in/s².

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The numerical value of the algebraic expression 1.5 × 6 + 8.3 is 17.3; The factors are 1.5 and 6 & the terms: 1.5 * 6 and 8.3

From the question, we have the following parameters that can be used in our computation:

1.5 × 6 + 8.3

The above expression is an algebraic expression and as such the parts of the expressions are

When the expression is evaluated, we have

1.5 × 6 + 8.3 = 17.3

This means that the result of evaluating the expression 1.5 × 6 + 8.3 is 17.3

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Step-by-step explanation:

Because straight lines (that are not the 'same line') can have at most, only one point of intersection...the unique solution.

Answer:

no it not have a unique solution.

Answer:

\(tan(\frac{11\pi}{6}) =-\frac{\sqrt{3} }{3}\)

Step-by-step explanation:

Notice that \(\frac{11\pi}{6}\) is an angle in the fourth quadrant (where the tangent is negative), and the angle is in fact equivalent to \(-\frac{\pi}{6}\). This is one of the special angles for which the sine and cosine functions, as well as the tangent function  have well know values:

Recall that the tangent is defined as

\(tan(\theta)=\frac{sin(\theta)}{cos(\theta)}\)

and for this angle (  \(\frac{11\pi}{6}\) ) the value of the sine and cosine functions are well known:

\(sin (\frac{11\pi}{6}) =-\frac{1}{2} \\cos( \frac{11\pi}{6}) =\frac{\sqrt{3} }{2}\)

Then, the tangent would be:

\(tan(\theta)=\frac{sin(\theta)}{cos(\theta)}\\tan(\frac{11\pi}{6}) = \frac{-\frac{1}{2} }{\frac{\sqrt{3} }{2} } \\tan(\frac{11\pi}{6}) =-\frac{1}{\sqrt{3} } \\tan(\frac{11\pi}{6}) =-\frac{\sqrt{3} }{3}\)

Answer:

\(11 {w}^{2}u \sqrt{2w}\)

Step-by-step explanation:

I'm never sure how far to go on these questions but I think what I'e done looks pretty nice. Essentially I simplified each radical, factored out each variable, combined the radicals after more simplification, and then picked the answer you were most likely looking for. I gave some alternatives in my work that are "simple" too, but the answer above is most likely I'd say.

Work is in the attachment, comment with any questions.

Answer:

V = 460.68

Step-by-step explanation:

V=(lwh)/3

Answer:

387,640

Step-by-step explanation:

hope this helps, braniest...

Answer:

The school is at (2, 1), and the park is at (-6, 5).

\( \sqrt{ {(2 - ( - 6))}^{2} + {(1 - 5)}^{2} } \)

\( \sqrt{ {8}^{2} + {( - 4)}^{2} } \)

\( \sqrt{64 + 16} = \sqrt{80} = 4 \sqrt{5} \)

4√5 is about 8.9.

Answer:

2 m/s

Step-by-step explanation:

Answer:

2m/s²

Step-by-step explanation:

acceleration= v-u/t

=3-1/1

=2m/s²

If the sample size 86 is drawn from population having mean 90 and S.D. as 24 , then the probability that mean will be more than 89 is 0.6517  .

In the question ,

it is given that ,

the sample size of the population (n) is = 86 ;

the mean (μ) = 90 , the standard deviation(σ) is = 24 ;

The probability that the mean will be more than 89 is represented as :

P(x > 89) = P((x-μ)/σ√n > (89 - 90)/24√86 )

= P(z > -0.39) ⇒ 1 - P(z ≤ -0.39)

from z table , we write the simplified equation as ;

= 1 - 0.3483

= 0.6517 .

Therefore , the required probability is 0.6517  .

The given question is incomplete , the complete question is

A sample of size 86 will be drawn from a population with mean 90 and standard deviation 24 . Find the probability that mean will be more than 89. Round the answer to at least four decimal places.

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Answer:

12

Step-by-step explanation:

So since the total was 26.95 subtract the base cost of the mug which is 8.95

26.95-8.95=18.00

Then since each refill is 1.50 divide by 1.50

18/1.50=12

Lanice bought 12 refills last month

The length of side X in simple radical form with a rational denominator is 25/√3.

In Mathematics and Geometry, a 30-60-90 triangle is also referred to as a special right-angled triangle and it can be defined as a type of right-angled triangle whose angles are in the ratio 1:2:3 and the side lengths are in the ratio 1:√3:2.

This ultimately implies that, the length of the hypotenuse of a 30-60-90 triangle is double (twice) the length of the shorter leg (adjacent side), and the length of the longer leg (opposite side) of a 30-60-90 triangle is √3 times the length of the shorter leg (adjacent side):

Adjacent side = 5/√3

Hypotenuse, x = 5 × 5/√3

Hypotenuse, x = 25/√3.

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Missing information:

The question is incomplete and the complete question is shown in the attached picture.

The given equations represent the solutions of 0 = 0.25x² - 8x

An equation is a mathematical statement that shows the equality of two expressions, typically separated by an equal sign. Equations are used to solve problems and model real-world situations in many fields, including physics, engineering, and finance.

Redirecting to answer:

The equation 0 = 0.25x² - 8x can be rewritten as:

0.25x² - 8x = 0

Factoring out x gives:

x(0.25x - 8) = 0

So the solutions are x = 0 and 0.25x - 8 = 0, which gives x = 32.

Therefore, none of the given equations represent the solutions of 0 = 0.25x² - 8x

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Answer:

62390

Step-by-step explanation:

you have to round up if it's 5 or more and round down if it's less.

Answer:

$1020

Step-by-step explanation:

1000 ÷ 100 = 10

10 × 2 = 20

$20 is gained per annum.

Answer:

after 10 months of this service, you will have paid $110.

Step-by-step explanation:

The equation in slope-intercept form that models this situation is:

y = mx + b

where y represents the total cost, x represents the number of months, m represents the monthly fee, and b represents the initial fee. In this case, the initial fee is $60 and the monthly fee is $5, so we have:

y = 5x + 60

To find out how much you will have paid after 10 months, we can substitute x = 10 into the equation:

y = 5(10) + 60

y = 50 + 60

y = 110

Therefore, after 10 months of this service, you will have paid $110.