Nevaeh conducted a scientific experiment. For a certain time, the temperature of a
compound rose 24 degrees every 14 hours. How much did the temperature of the
compound rise in one hour? Enter your answer as a whole number, proper fraction,
or mixed number in simplest form.

Using FOIL method for the multiplication, we have:

1: 3x (5x - 4) = 15x² - 12x

2: x²(5x² + 3y + 1) = 5x⁴ + 3x²y + x²

3: (4x + 3)(4x -5)  = 16x² - 8x - 15

4: (7x - 3)(4x - 5) = 28x² - 47x + 15

FOIL is an acronym that stands for "First, Outer, Inner, Last". It is a mnemonic device that is commonly used to remember the process of multiplying two binomials.

No. 1

3x (5x - 4) = 3x*5x + 3x*(-4)

                 = 15x² - 12x

No. 2

x²(5x² + 3y + 1) = x²*5x² + x²*3y + x²*1

                        = 5x⁴ + 3x²y + x²

No. 3

(4x + 3)(4x -5) = 4x(4x-5) + 3(4x-5)

                    = 4x*4x + 4x*(-5) + 3*4x + 3*(-5)

                    = 16x² - 20x + 12x - 15

                    = 16x² - 8x - 15

No. 4

(7x - 3)(4x - 5) = 7x(4x - 5) - 3(4x - 5)

                      = 7x*4x  + 7x*(-5) - 3*4x - 3*(-5)

                      = 28x² - 35x -12x + 15

                      = 28x² - 47x + 15

Learn more about  FOIL method on:

https://brainly.com/question/27980306

#SPJ1

Answer:

60

Step-by-step explanation:

you add what he needs to make in total up ten dollars for the cupcake tin and the thirty five dollars for the profit he wants to make then I used the guess and check strategy knowing that 100 cupcakes would make him 75 dollars I worked my way down multiplying 0.75 times 90, 80, 70 and then landed on the answer 60

The set  S:{42} will make the inequality false.

By definition, one can apply any monotonically rising function to both sides of an inequality without affecting how they relate to one another (provided that both expressions are in the domain of that function).

Given inequality is :

3/8 m - 9 < 1/4 m + 2

Solving the inequality we get:

or, m < 40

Therefore of all the elements of the set 42 makes the inequality false.

To learn more about inequality visit:

brainly.com/question/17675534

#SPJ1

The answer to the question above is C which is equal to (=) is the symbol that represents the answer to the inflation gap π3−π1.

The correct option is-C

It is important to know that Inflation gap refers to the difference between actual inflation and target inflation. Inflation gaps are also associated with inflation targeting. Inflation targeting is a monetary policy where a central bank tries to keep inflation within a particular range by adjusting interest rates. If inflation is too high, the central bank will increase interest rates to cool off the economy and prevent prices from rising too quickly.

Inflation gaps are also associated with inflation targeting. Inflation targeting is a monetary policy where a central bank tries to keep inflation within a particular range by adjusting interest rates. If inflation is too high, the central bank will increase interest rates to cool off the economy and prevent prices from rising too quickly. If inflation is too low, the central bank will lower interest rates to encourage borrowing and spending, which will stimulate the economy and boost prices. According to the question, the inflation gap π3−π1 is 0.

To know more about symbol visit:

https://brainly.com/question/11490241

#SPJ11

Answer:

Step-by-step explanation:

The length of a line segment or the distance between two points can be found by using the formula

\(d = \sqrt{ ({x1 - x2})^{2} + ({y1 - y2})^{2} } \\ \)

where

(x1 , y1) and (x2 , y2) are the points

From the question the points are

J(-4,2) and G(146,52)

The the length of the line segment joining the points is

\( |JG| = \sqrt{ ({ - 4 - 146})^{2} + ({2 - 52})^{2} } \\ = \sqrt{ ({ -150})^{2} + ({ -50})^{2} } \\ = \sqrt{22500 + 2500} \\ = \sqrt{25000} \\ = 50 \sqrt{10} \\ = 158.11388\)

We have the final answer as

Hope this helps you

The critical region would be in the tail of the null distribution corresponding to the alpha level (0.05), which is the upper 5%.

We have,

The critical region would be in the upper 5% of the null distribution.

This is because alpha is the probability of making a type I error (rejecting the null hypothesis when it is actually true),

In this case,

We are looking for evidence that the population mean is greater than 1.2.

Therefore,

The critical region would be in the tail of the null distribution corresponding to the alpha level (0.05), which is the upper 5%.

Learn more about critical region here:

https://brainly.com/question/28171725

#SPJ11

Answer:

he was selling balloons 45 / day

Step-by-step explanation:

sold 720 ballons in 16 days.

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

Answer:

117

Step-by-step explanation:

Answer:

Step-by-step explanation:

False

First you have to  know what a natural number is.

They are all the integers from 1 to infinity.

Naturally they are closed for addition. 3 + 9 = 12. You can make as many examples as you like. You will not get anything outside the natural numbers.

3934859433993393390 + 4 + 22 is still going to give you a natural number.

Subtraction is a different matter.

44 - 100 is not in the natural number system.

Multiplication is OK.

5555 * 44444 still is a member of the natural numbers.

What about division? Remember, all you need is one example that doesn't work to say that the natural numbers aren't closed. Ready. How about

33/83?

Answer:

1. he eats 5 per day (5 less every day)

2. he starts with 83 pieces of candy

3. 53

4. on day 11

Step-by-step explanation:

1. self explanatory

2. self explanatory

3. 6*-5=-30 -30+83=53

4. put y as 28

28=-5x + 83 now solve for x

subtract 83 both sides

-55=-5x

divide -5 from both sides

11=x

The amount of paint needed if the dimensions are doubled is; 8 ounces.

The quantity of sugar which the rectangular prism would hold if the dimensions are doubled is; 120 cups of sugar.

Recall,

Area of a rectangular prism = 2 (lw + lh + wh) and

Volume of a rectangular prism = l × w × h.

Hence, when the dimensions are doubled;

New Area = 2 × 4 (lw + lh + wh) = 4 × initial area.

Therefore, the quantity of paint needed is; 4 × 2 ounces = 8 ounces of paint.

Also, when the dimensions are doubled;

New Volume = 2l × 2w × 2h = 8 lwh.

New Volume = 8 × initial volume = 8 × 15 cups = 120 cups of sugar.

Read more on area and volume of a rectangular prism;

https://brainly.com/question/17111475

#SPJ1

Yes, this is a statistical question as the answer involves gathering and analyzing data about college football and tennis coaches' salaries. It's important to remember that a variety of factors could influence these salaries.

Sylvie's question, 'Do college tennis coaches generally get paid more than college football coaches?' is considered a statistical question because it anticipates a response based on data analysis. To answer this, one would typically gather data on the salaries of both college tennis and football coaches, process this data, and then perform a comparative analysis. It's important to understand that salaries can vary widely, influenced by factors including the size of the college, the success of the program, and the region of the country.

https://brainly.com/question/14877725

#SPJ2

Answer:

16/22, 24/33, and 40/55

or

72.7272...% = Percentage form

0.7272... = Decimal form

Hope this helps :)

Pls brainliest...

Answer:

Sorry there is no table or picture to show the subjects ;-;

Step-by-step explanation:

Answer:

Step-by-step explanation:

35

Answer:

\(y=\displaystyle-\frac{4}{3}x+22\)

Step-by-step explanation:

Hi there!

What we need to know:

Determine the slope (m):

\(y=\displaystyle-\frac{4}{3}x -1\)

The slope of the given line is \(\displaystyle-\frac{4}{3}\), since it is in the place of m in y=mx+b. Because parallel lines always have the same slope, the slope of a parallel line would also be \(\displaystyle-\frac{4}{3}\). Plug this into y=mx+b:

\(y=\displaystyle-\frac{4}{3}x+b\)

Determine the y-intercept (b):

\(y=\displaystyle-\frac{4}{3}x+b\)

To find the y-intercept, plug in the given point (6,14) and solve for b:

\(14=\displaystyle-\frac{4}{3}(6)+b\\\\14=-8+b\\b=22\)

Therefore, the y-intercept of the line is 22. Plug this back into \(y=\displaystyle-\frac{4}{3}x+b\):

\(y=\displaystyle-\frac{4}{3}x+22\)

I hope this helps!

As a result, 210 gallons of oil are thought to have been present in the lake at time 12 (t=12).

A polynomial is a mathematical equation that only uses addition, subtraction, multiplication, and non-negative integer exponents and is made up of variables and coefficients. To put it another way, a polynomial is an algebraic expression made up of terms that are sums, products, and/or products of variables and coefficients. The leading coefficient is the coefficient of the term with the highest degree, while the degree of a polynomial is the maximum power of the variable in the expression.

given

(a) We need to determine Q(10), Q'(10), and Q" in order to determine the second degree Taylor polynomial for Q(t) with a center at t=10 (10).

As we are aware, Q(10) = 200. (given in the problem statement).

We must take the derivative of Q(t) with respect to t in order to determine Q'(10):

Q'(t) = -5t + 250

Q'(10) = -5(10) + 250 = 200

We must take the derivative of Q'(t) with respect to t in order to determine Q"(10):

Q''(t) = -5

Q''(10) = -5

The second degree Taylor polynomial can now be calculated using the following formula: P2(t) = Q(10) + Q'(10)(t-10) + (1/2)Q"(10)(t-10)2.

With the numbers we discovered, we can calculate P2(t) as 200 + 200(t-10) + (1/2)(-5)(t-10)2.

\(P2(t) = 200 + 200(t-10) - (5/2)(t-10)^2\)

(b) We must assess the second degree Taylor polynomial at t=12 in order to determine how much oil is in the lake at that time.

P2(12) = 210 gallons because P2(12) = 200 + 200(12-10) - (5/2)(12-10)2. (rounded to the nearest gallon)

As a result, 210 gallons of oil are thought to have been present in the lake at time 12 (t=12).

To know more about polynomials visit:

https://brainly.com/question/11536910

#SPJ1

Answer:

The probability is 1/8

Step-by-step explanation:

We have 2 nectarines in a total of 16 pieces of fruit in a basket, so the probability of random selected piece of fruit being a nectarine is the number of nectarines over the total number of pieces of fruit:

Probability = Number of nectarines / Total pieces = 2 / 16

To find the fraction in the simplest form, we divide the numerator and denominator by 2:

Probability = (2/2) / (16/2) = 1/8

Answer:

its actually 3/8 trust me

Step-by-step explanation:

It will take 112.5 minutes of time to reach a depth of 200 feet.

In its most basic form, a ratio is a comparison between two comparable quantities.

There are two types of proportions One is the direct proportion, whereby increasing one number by a constant k also increases the other quantity by the same constant k, and vice versa.

If one quantity is increased by a constant k, the other will decrease by the same constant k in the case of inverse proportion, and vice versa.

From, The given information, Let 'x' be the time in minutes and 'y' be the depth in feet.

So, y ∝ x.

y = kx.

80 = 45k.

k = 16.9.

Now, When y = 200,

200 = (16/9)×x.

x = 112.5 minutes.

learn more about proportion here :

https://brainly.com/question/7096655

#SPJ1

If the temperature of the turducken is 150° after half an hour, the temperature of the turducken after 45 minutes is 225 degrees.

To determine the temperature of the turducken after 45 minutes, we first need to establish the rate at which the temperature is changing.

Find the temperature change after half an hour (30 minutes)
The given temperature after 30 minutes is 150 degrees.

Calculate the rate of temperature change per minute
Temperature change / time = 150 degrees / 30 minutes = 5 degrees/minute

Determine the temperature after 45 minutes
Since the temperature increases by 5 degrees every minute, we need to find the temperature increase for an additional 15 minutes (45 minutes - 30 minutes = 15 minutes).

Temperature increase for 15 minutes = 5 degrees/minute * 15 minutes = 75 degrees

Add the temperature increase to the initial temperature
Temperature after 45 minutes = 150 degrees (initial temperature) + 75 degrees (increase) = 225 degrees

Therefore, the temperature of the turducken after 45 minutes is 225 degrees.

More on temperature: https://brainly.com/question/10620335

#SPJ11

A triangle is a shape used to represent the components of total health. True

1) The total amount you will pay for the game is approximately $43.03. 2)For a lunch bill of $9.89, a 15% tip would amount to approximately $1.48.

To calculate the total amount you will pay for the game after applying taxes, you need to calculate the city tax and state tax separately. For the city tax of 0.5%, you can multiply the purchase price of $39.99 by 0.005, which gives $0.19995 (rounded to $0.20). Next, for the state tax of 7.25%, you can multiply the purchase price by 0.0725, which gives $2.899275 (rounded to $2.90).

Adding the city tax and state tax to the purchase price: $39.99 + $0.20 + $2.90 = $43.09. Rounded to two decimal places, the total amount you will pay for the game is approximately $43.03.

To estimate a 15% tip for a lunch bill of $9.89, you can multiply the bill amount by 0.15. Doing so, you get $9.89 × 0.15 = $1.4835 (rounded to $1.48). Therefore, a 15% tip for a lunch bill of $9.89 would amount to approximately $1.48.

To learn more about decimal click here, brainly.com/question/30958821

#SPJ11

Answer:

y = 1.25x - 3

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Here m = 1.25 and (0, - 3 ) ⇒ c = - 3

y = 1.25x - 3 ← equation of line

Answer:

???

Step-by-step explanation:

The radius of the sphere has a ratio of 5/4.

The ratio can be defined as the number that can be used to represent one quantity as a percentage of another. Only when the two numbers in a ratio have the same unit can they be compared. Ratios are used to compare two objects.

Given, two solid spheres Have volumes of 250 cm^3and 128 cm ^3 respectively

Since, Volume  of sphere = 4/3 pi r³

Where r is the radius

That means volume is directly proportional to r³

The ratio of volumes:

v₁/v₂ = r₁³/r₂³

r₁³/r₂³  = 250/128

r₁³/r₂³  = 125/64

in other terms

r₁/r₂  = 5/4

Therefore, the ratio of the radius of the given spheres is 5/4.

Learn more about ratios here:

https://brainly.com/question/13419413

#SPJ1

Answer:

c = 3

Step-by-step explanation:

Given

\(\frac{2}{c-2}\) - \(\frac{3}{c+2}\) = \(\frac{7}{c^2-4}\) ← factor the difference of squares

\(\frac{2}{c-2}\) - \(\frac{3}{c+2}\) = \(\frac{7}{(c-2)(c+2)}\)

Multiply through by (c - 2)(c + 2) to clear the fractions

2(c + 2) - 3(c - 2) = 7 ← distribute and simplify left side

2c + 4 - 3c + 6 = 7

- c + 10 = 7 ( subtract 10 from both sides )

- c = - 3 ( multiply both sides by - 1 )

c = 3

Answer:

As a fraction: 141/20. As a percentage: 705%

Step-by-step explanation:

So, approximately 7.71 grams of radium will be present after 100 years.

To calculate the remaining amount of radium after 100 years, we will use the half-life formula:
Remaining Amount = Initial Amount * (1/2)^(time passed / half-life)
Here, the initial amount is 8 grams, the half-life is 1690 years, and the time passed is 100 years.
Step 1: Plug in the values
Remaining Amount = 8 * (1/2)^(100 / 1690)
Step 2: Calculate the exponent
Exponent = 100 / 1690 ≈ 0.05917
Step 3: Calculate the base raised to the exponent
(1/2)^0.05917 ≈ 0.9634
Step 4: Multiply the initial amount by the base raised to the exponent
Remaining Amount = 8 * 0.9634 ≈ 7.7072
So, approximately 7.71 grams of radium will be present after 100 years.
To know more about radium visit:

https://brainly.com/question/19471276

#SPJ11

Answer:

$13.76

Step-by-step explanation:

Cost at store A = $29.35

Cost at store B = $32.79

Difference in price at both stores :

Difference = store B - store A

Difference in price = $32.79 - $29.35 = $3.44

Extra cost to f purchasing 4 video games at store B:

Difference in price * number of video games

$3.44 * 4 = $13.76

Answer:

4.05882352941

Step-by-step explanation:

69/17 is equal to 4.05882352941