the line whose equation is 3x-5y=4 is dilated by a scale factor of 5/3 centered at the origin. Which statement is correct?

Answer:

earns 56% of families in country

Answer:

Step-by-step explanation:

56th percentile and 78th percentile are both above the 50%

For the first question the answer is B, both the families earn more than half of the population.

For the second question the answer is C, the Aoki family is at 56th percentile, which means its position is top 56%, not more or less

Answer:

y = x² + 2x - 15

Step-by-step explanation:

Given the zeros are x = 3 and x = - 5 then the factors are (x - 3) and (x + 5)

The polynomial is then the product of its factors, thus

y = (x - 3)(x + 5) ← expand using FOIL

y = x² + 2x - 15

The equation that gives the tree's height at any time in slope-intercept form is y = (9/2)x + 5. Select 2nd option

The slope-intercept form equation of a line can be given as y = mx + c

where m is the slope and c is the y-intercept

Let y and x represent the height and time respectively

slope (m) =  y2-y1 / x2-x1

where x1 = 2, y1 = 14 and x2 = 4, y2 = 23 (from table)

m = 23-14 / 4-2 = 9/2

y = mx + c

14 = (9/2 )×2 + c

14 = 9 + c

c = 14-9 = 5

put m = 9/2 and c = 5 into y = mx + c. Thus, the equation will be:

y = (9/2)x + 5

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3(3c + 1) = 21 is false

Answer:

3(3c + 1) = 21 is false.

Step-by-step explanation:

There are 10,000 possible combinations if there are no restrictions on the number of times talula can use each number.

since the lock has four number positions and each position can have any number from 0 to 9, we can use the multiplication    principle   to determine the total number of possible combinations:

10 options for the first position x 10 options for the second position x 10 options for the third position x 10 options for the fourth position

this gives us:

10 x 10 x 10 x 10 = 10,000

biking talula got a new bicycle lock that has a four-number combination. each number in the combination is from 0 to 9. a. how many combinations are possible

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Answer:

"sixty-three hundredths of a Kilometer"

Step-by-step explanation:

Decimal measurements are read based on the place of their digits. In this case, Ajay would read this measurement as "sixty-three hundredths of a Kilometer". This is because the final digit of the decimal form measurement is in the "hundredths" position. One more to the right and it would be in the "thousandths" while one more to the left would be the "tenths"

Given the inequality

Re-arranging

If we make x the subject of the formula

Estimated energy lost to friction if the ball hits the ground at a speed of thirty meters per second is most nearly 286 Joules.

Given data:

Let Potential Energy be P.E

Let  Kinetic Energy be K.E

Energy lost due to friction = Initial ( P.E + K.E) - Final ( P.E + K.E)

ΔE = mgh + 1/2 mu² - 1/2 mv²

ΔE = 1*9.8*70 + 1/2*1*10*10 - 1/2*1*30*30

On solving.

ΔE = 286 Joules

Thus, Estimated energy lost to friction if the ball hits the ground at a speed of thirty meters per second is most nearly 286 Joules.

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Therefore, the covariance of 1.07x and 2y is approximately 11.984.

To find the covariance of 1.07x and 2y, we can use the property that the covariance is linear with respect to scalars. In other words, cov(aX, bY) = ab * cov(X, Y) for any constants a and b.

Given:

cov(x, y) = 5.6

Let's calculate the covariance of 1.07x and 2y:

cov(1.07x, 2y) = (1.07 * 2) * cov(x, y)

= 2.14 * 5.6

≈ 11.984

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I'm not 100% sure this is correct, but here you go!

We can convert 0.5 into a fraction, that is 1/2

solution:
= -1/2p + 1/2p + 2/3p
Cancel out the first 2 numbers (as we subtract, we get 0)
= 2/3p

your answer is 2/3 p, I hope it helps

Answer:

$0.57 for each can of cat food

Step-by-step explanation:

2.85/5 = 0.57 giving you the answer

Answer:

it would cost 0.57 cents!

Explanation:

you'd have to divide 2.85 by 5, because if it is that much for 5 cans, and he only wants to buy 1, you'd divide it by 5, to get 0.57 :)

Answer:

Simplify the expression.

Exact Form:

8

---

45

Decimal Form:

0.17

Answer:

Step-by-step explanation:

p= protozoa population, t= hours

So, p(t)=0.09(5)^4+0.4(5)^3+6(5)^2

p(5)= 56.25+50+150

=256?

Answer:

22.5

Step-by-step explanation:

22.5 Cubic centimeters is the volume of the rectangular prism.

Volume, which is measured in cubic units, is the 3-dimensional space occupied by matter or encircled by a surface. The cubic meter (m3), a derived unit, is the SI unit of volume. Volume is another word for capacity.

Given, A right rectangular prism has a length of 10 centimeters a width of 2.5 centimeters and a height of 0.9 centimeters

From the general formula of Volume of rectangular prism:

Volume = length * width * height

In our case,

Length = 10 cm

width = 2.5 cm

and height = 0.9 cm

thus, Volume = 10 * 2.5 * 0.9

Volume = 22.5

Therefore, the volume of the given rectangular prism is 22.5 Cubic centimeters.

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201 food calories (kcal) would be sufficient for a well-conditioned athlete to metabolize in doing the same work with an efficiency of 25%

Assuming input the 25% into equation and work

with the help of the equation, we know:

η = work_out / work_in

therefore we get, 0.25 = (2.10e5) / (kcal)

then, kcal = (2.10e5J)/(0.25)

kcal = 2.10e5 J / 0.25

upon dividing the following we get the answer,

kcal = 840e3J

now we need to convert the Joules to kcal and we get,

we know that, 1kcl = 4184J

therefore, 840e3 / 4184 = 201 kcal

hence we know that 201 food calories (kcal) would be sufficient for a well-conditioned athlete to metabolize in doing the same work with an efficiency of 25%

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Answer:

156 students

Step-by-step explanation:

To find how many students are in choir this year, multiply 120 by 1.3

120(1.3)

= 156

So, this year, 156 students are taking choir

Answer:

156 students

Step-by-step explanation:

120*30%=36

120+36=156

Answer:

Step-by-step explanation: Your adding 2. So 1 + 2= 3, 3 + 4 =7, 7 + 8=15, 15 + 16=31. You see my point. My wording is off.

The element defined by the given information is sodium (Na).

The atomic number (n°) of an element represents the number of protons (p) in the nucleus of its atoms. In this case, the atomic number (n°) is given as 11, which means that the number of protons in the nucleus of this element is 11.

For a neutral atom, the number of electrons (e-) is equal to the number of protons (p). Therefore, since the number of electrons is given as 11, we can conclude that the number of protons is also 11.

Based on this information, we can identify the element as sodium (Na), which has an atomic number of 11 and 11 protons in its nucleus.

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Answer:

3 x 8= 24

Step-by-step explanation:

For a large enough n (i.e., N≥n), any subset of [1, n] containing at least n/c elements must have three equally spaced numbers.

This is a classic problem in combinatorics known as the van der Waerden's theorem. The theorem states that for any positive integers k and c, there exists a positive integer N such that any subset of {1, 2, ..., N} with cardinality at least N/k contains an arithmetic progression of length k.

In the specific case you mentioned, we have k=3 and the set S has at least n/c elements. So, according to the van der Waerden's theorem, there exists a positive integer N such that any subset of {1, 2, ..., N} with cardinality at least N/3 contains a 3-term arithmetic progression.

Therefore, for a large enough n (i.e., N≥n), any subset of [1, n] containing at least n/c elements must have three equally spaced numbers.

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There is evidence to support the claim that brand B gasoline yields a higher mean mpg than brand A gasoline under identical conditions.

Now, For test whether the mpg of brand B is significantly better than that of brand A, we can perform a two-sample t-test,

Here, assuming normality and using a significance level of 5%.

The null hypothesis states that there is no significant difference between the mean mpg of brand A and brand B, while the alternative hypothesis states that the mean mpg of brand B is significantly greater than that of brand A.

the t-value:

t = (xB - xA) / √(Sp/nB + Sp/nA)

where xB = 20.2, xA = 19.6,

Sp = ((nB - 1) sB + (nA - 1) sA) / (nA + nB - 2),

nB = nA = 16, and sB = 0.6, sA = 0.4.

Plugging in the values, we get:

Sp = ((16 - 1) 0.6 + (16 - 1) 0.4) / (16 + 16 - 2)

= 0.0804

Hence,

t = (20.2 - 19.6) / √√(0.0804/16 + 0.0804/16)

t = 3.64

The critical t-value for a two-tailed test with 30 degrees of freedom and a significance level of 5% is ±2.045.

Since the calculated t-value (3.64) is greater than the critical t-value, we can reject the null hypothesis and conclude that the mean mpg of brand B is significantly better than that of brand A.

Therefore, we can conclude that there is evidence to support the claim that brand B gasoline yields a higher mean mpg than brand A gasoline under identical conditions.

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Answer:

-1/3

Step-by-step explanation:

6(2+y)=3(3-y)

12+6y=9-3y

12+6y-(-3y)=9

12+6y+3y=9

12+9y=9

9y=9-12

9y=-3

y=-3/9

simplify

y=-1/3

The fuel-flow indicator rotor and needle in a motor-impeller and turbine indicating system are driven by a mechanism that measures and displays the rate at which fuel is flowing to the engine.

The fuel-flow indicator rotor and needle play a crucial role in providing real-time information about the rate of fuel consumption in an engine. The rotor is typically connected to a turbine or impeller, which is driven by the flow of fuel passing through it. As the fuel flows, it causes the rotor to rotate, and this rotational motion is then translated into the movement of a needle on the indicator display. The position of the needle corresponds to the fuel flow rate, allowing the operator or pilot to monitor and control the fuel consumption.

This indicating system is important for several reasons. Firstly, it enables operators to monitor fuel usage, ensuring that the engine is receiving an appropriate amount of fuel for efficient operation. Secondly, it provides valuable information for fuel management, allowing adjustments to be made if necessary to optimize performance or conserve fuel. Additionally, the indicator system helps identify any anomalies or irregularities in fuel flow, which can be indicative of potential issues or malfunctions within the engine or fuel system. Overall, the fuel-flow indicator rotor and needle serve as critical components in maintaining engine performance, efficiency, and safety.

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Answer:

6 905 000

Step-by-step explanation:

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

.

The relationship between the radius and volume of a cylinder with a height of 4 feet is nonlinear because the volume of a cylinder is given by the formula V = πr²h, where r is the radius and h is the height. In this case, the height is fixed at 4 feet. As we change the radius, the volume changes in a nonlinear manner.

The volume increases much faster as the radius increases. This can be seen from the exponential nature of the formula, as the radius is squared. Therefore, even a small increase in the radius results in a substantial increase in the volume, making the relationship between radius and volume nonlinear.

In contrast, if the height were to be proportional to the radius, then the relationship between radius and volume would be linear. This is because the volume would be proportional to the product of the radius and height, which is a linear relationship.

Therefore, the nonlinear relationship between radius and volume, in this case, is due to the exponential nature of the formula for the volume of a cylinder and the fixed height of 4 feet.

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--The given question is incomplete; the complete question is

"This function represents the relationship between the radius of cylinders with a height of 4 feet and their volumes. Why is this relationship between radius and volume nonlinear?"--

The distance between points A and B will be 19201.93 feet.

Trigonometric functions examine the interaction between the dimensions and angles of a triangular form.

Mamadou notices an airplane arriving in a straight line and flying directly overhead on the radar. The plane stays at the same height of 7325 feet. Mamadou initially measures a 15-degree angle of inclination to the plane at point A. Later, he detects a 42-degree angle of elevation to the plane at point B.

The distance between points A and B will be given as,

D = 7325 / tan 15° - 7325 / tan 42°

D = 27337.27 - 8135.34

D = 19201.93 feet

The distance between points A and B will be 19201.93 feet.

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Answer:

19202 feet

Step-by-step explanation:

I got the same problem and got it right with that answer.

Answer:

Coordinate of points = (7 , 0)

Step-by-step explanation:

Given:

Equation of slope;

y – y1 = m(x – x1)

Equation of slope;

y = 3(x – 7)

Find:

Coordinate of points

Computation:

By comparing

y - 0 = 3(x - 7)

So,

y1 = 0

m = 3

x1 = 7

Coordinate of points = (7 , 0)

The answer of the given question based on the Newton's law is , the scenario demonstrates Newton's third law of motion.

Newton's laws of motion are set of fundamental principles that describe  behavior of a objects in motion. They were formulated by Sir Isaac Newton in the 17th century and are considered to be the foundation of classical mechanics. It consists of three laws of motion they are , Newton's First Law of Motion , Newton's Second Law of Motion , Newton's Third Law of Motion. These laws explain how objects move and interact with one another, and they have numerous applications in physics, engineering, and other fields.

The scenario given describes Newton's third law of motion, which states that for every action, there is an equal and opposite reaction.

In this case, the action is the force exerted by the car on the wall, and the reaction is the force exerted by the wall on the car. According to Newton's third law, these forces are equal in magnitude but opposite in direction, which means that the car and the wall exert the same amount of force on each other in opposite directions.

Therefore, the scenario demonstrates Newton's third law of motion.

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The solution to the given equation is -6.

The given equation is 5p-14=8p+4.

In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.

The solution of an equation is the set of all values that, when substituted for unknowns, make an equation true.

Here, 5p-14=8p+4

8p-5p=-14-4

3p=-18

p= -18/3

p= -6

Therefore, the solution to the given equation is -6.

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The graph of f(x) = -2⁻ˣ is given as attached.

To graph the function f(x) = -2⁻ˣ, we can follow these steps:

1. Choose a set of x-values to plot on the x-axis. Since the function has an exponent that involves negative powers of 2, we should choose values that are evenly spaced on the x-axis, such as -3, -2, -1, 0, 1, 2, and 3.

2. Substitute each x-value into the function to find the corresponding y-value. For example, when x = -3, we have f(-3) = -2⁻³ = -1/8. Similarly, we can find the y-values for the other x-values we chose.

3. Plot the points (x, y) on the graph. Make sure to label the axes and use a ruler or graphing software to ensure accuracy.

4. Connect the points with a smooth curve to show the shape of the function between the plotted points. Since the function has a negative exponent, it approaches zero as x gets larger, so the curve should approach the x-axis as it moves to the right.

The resulting graph should show a decreasing curve that gets closer and closer to the x-axis, without ever touching it, as x gets larger.

Note that the values of y for each x are:

When x = -3, y = -1/8

When x = -2, y = -1/4

When x = -1, y = -1/2

When x = 0, y = -1

When x = 1, y = -2

When x = 2, y = -4

When x = 3, y = -8

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