Express 80 as the product of prime factors write the prime factors in ascending order

Answer:

15

Step-by-step explanation:

The model and tax on $320 sales are T = 0.09p and $28.84

Expressing direct proportionality

14.42 = 160p

p = 14.42/160

p = 0.090

Hence, the mathematical model is :

2.)

Sales tax on $320 purchase :

Therefore, sales tax on $320 purchase is $28.84

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Answer:

Pride comes before fall.

Answer:

Step-by-step explanation:

The outside can be measured by listening to a crickets chirp because the frequency of chirping varies according to temperature. To get a rough estimate of the temperature in degrees fahrenheit, count the number of chirps in 15 seconds and then add 37. The number you get will be an approximation of the outside temperature.

Answer:

Kindly check explanation

Step-by-step explanation:

Given :

Lewis :

y = 17x

x = number of hours worked

y = amount of money earned

Carl:

Carl’s Earnings Time (h) 3 5 8 10

Money earned ($) 45 75 120 150

(a) How much money does Carl earn per hour? Show your work on how you found the constant of proportionality for both.

Money earned = pay per hour * hours worked

$45 = pay per hour * 3

Pay per hour = $45 / 3 = $15

Hence, Carl's earning per hour = $15

(b) Who earns more per hour? Justify your answer by comparing the two. Please use complete sentences.

Lewis : y = 17x

Carl : y = 15x

Where $17 and $15, represents Lewis and Carl's hourly pay respectively.

Hence, Carl earns more.

(c) Draw a graph that represents Carl’s earnings over time in hours. Remember to label the axes with the real world quantities that x

Answer:

y= 5x -9

Step-by-step explanation:

Slope-intercept form:

y= mx +c, where m is the gradient and c is the y-intercept.

y= 5x -15

Gradient of given line= 5

Since parallel lines have the same gradient, gradient of the line is 5. Thus, m=5.

Substitute m=5 into the equation:

y= 5x +c

To find the value of c, substitute a pair of coordinates.

When x =1, y= -4,

-4= 5(1) +c

-4= 5 +c

c= -4 -5

c= -9

Thus, the equation of the line is y= 5x -9.

Answer:

8/15

Step-by-step explanation:

in April, Bill used 2/3 of an amount used in March

amount used in April = 2/3× an amount used in March

2/3× 4/5 = 8/15

Answer:

<A= right

<B= acute

<C= obtuse

<D= acute

Step-by-step explanation:

Answer:

Y = 2(x - 5/4)^2 + 71/8

Answer

30+ n^2= c

Step-by-step explanation:

Answer:

A. There is a pivot position in each row of the coefficient matrix. The augmented matrix will have columns and will not have a row of the form ​, so the system is consistent.

Step-by-step explanation:

Based on Godel's second incompleteness theorem, a system is considered consistent only when the far-right column of the augmented matrix is not a pivot column.

However, given that every column of the coefficient matrix is a pivot column, then there are no top coefficients in the far-right column of the augmented matrix.

Hence, there is a pivot position in each row of the coefficient matrix. The augmented matrix will have columns and will not have a row of the form ​, so the system is consistent.

Answer:

your answer is 6 and 3/7ths and 12 and 2 / 7ths.

Step-by-step explanation:

I had the question and got it right,

Answer: 150

Step-by-step explanation: Multiply by 5

Answer:

2 minutes and 30 seconds.

Step-by-step explanation

300 divided by 60, then times the answer by 30.

Lastly, convert the answer to units.

Answer:

Amount of space in a 3 dimensional object

Figure1: 36.5625ft^3

Figure2: .015625ft^3

Figure one is 2340 times larger than the second figure

Step-by-step explanation:

Answer:

The absolute value of |-8| is 8 and the absolute value of |6| is 6.

Step-by-step explanation:

Answer:

Can you send me a picture or reformat this, It is unintelligible

Answer:

The x intercept is -9

Step-by-step explanation:

−2x+12y=18

To find the x intercept, let y=0

-2x + 12(0) = 18

-2x = 18

Divide each side by -2

-2x/-2 = 18/-2

x = -9

The x intercept is -9

Answer:

x-intercept of the given line is, (-9, 0)

Step-by-step explanation:

Substitute y = 0 and solve for x:

⇒-2x = 18

Divide both sides by -2 we get;

x = -9

Therefore, the x-intercept of the line is, (-9, 0)

Answer:

y=-5/2+x

Step-by-step explanation:

Answer:

It is

Step-by-step explanation:

If a is positive and b is greater than 1 , then it is exponential growth. If a is positive and b is less than 1 but greater than 0 , then it is exponential decay.

Answer:

77% decrease

Step-by-step explanation:

Answer:

The answer is  “C” (Shifts left 3 units)

Step-by-step explanation:

To find the transformation, compare the function to the parent function and check to see if there is a horizontal or vertical shift, reflection about the x-axis or y-axis, and if there is a vertical stretch.

Step-by-step explanation:

We humans are social beings; we share mirror neurons that allow us to match each other’s emotions unconsciously and immediately. We leak emotions to each other. We anticipate and mirror each other’s movements when we’re in sympathy or agreement with one another—when we’re on the same side. And we can mirror each other’s brain activity when we’re engaged in storytelling and listening – both halves of the communication conundrum.

This view of the human state is directly contrary to the way most people think about communications. The old model has a sender, a message, a receiver, feedback and noise. It’s far too mechanistic and simple to describe adequately what’s really going on. It leaves out the communal nature of communications.

Answer:

Since the pendulum moves from side to side in 1 sec, the length of the arc covered by the pendulum in an oscillation will be the length travelled in 1 sec

From trigonometry, we know the relation:

Θ(in radians) = l / r (where r is the length of the pendulum and l is the length of arc travelled)

But first, we need to convert 20 degrees to radians

20 degrees = π/9 radians

r = 7 feet

Now, plugging these values in the equation:

π / 9 = l / 7

l = 7π / 9 feet

l = 2.44 feet (approx)

Answer:

63,800,000,000 square metres equals 63,800 square kilometres

Step-by-step explanation:

The rule of three or is a way of solving problems of proportionality between three known values and an unknown value, establishing a relationship of proportionality between all of them. That is, what is intended with it is to find the fourth term of a proportion knowing the other three.

If the relationship between the magnitudes is direct, that is, when one magnitude increases, so does the other (or when one magnitude decreases, so does the other), the direct rule of three must be applied. To solve a direct rule of three, the following formula must be followed:

a ⇒ b

c ⇒ x

Being a, b and c the known numbers and x the unknown variable to be calculated you have:

[tex]x=\frac{c*b}{a}[/tex]

In this case, knowing that 1 square meter equals 1*10⁻⁶ square kilometers, the rule of three applies as follows: if 1 square meter equals 1.0 * 10-6 square kilometers, 63,800,000,000 square meters to how many square kilometers is it?

[tex]Area=\frac{63,800,000,000 square meters*1*10^{-6}square kilometers }{1square meter}[/tex]

Area= 63,800 square kilometres

63,800,000,000 square metres equals 63,800 square kilometres

Answer:

Step-by-step explanation:

Multiply by the inverse of the coefficient of r², then take the square root.

  [tex]V=\dfrac{1}{3}\pi r^2h\\\\V=\dfrac{\pi h}{3}r^2\\\\r^2=\dfrac{3V}{\pi h}\\\\\boxed{r=\sqrt{\dfrac{3V}{\pi h}}}[/tex]

For V=50, h=15, this is ...

  [tex]{r=\sqrt{\dfrac{3(50)}{\pi(15)}}=\sqrt{\dfrac{10}{\pi}}\approx\boxed{1.78\quad\text{cm}}[/tex]

Answer:

y=-2x+1

Step-by-step explanation:

Answer:

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