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The 9/32 of whole pizza Troy had for breakfast. The whole bag of coffee weighs 10/7 pounds

A fraction is defined as a part of a whole quantity.

1. Leftover pizza = 3/8

Pizza used as breakfast = 3/4 of left-over pizza

= 3/4 of 3/8

The of is calculated by the use of multiplication

The fractions are multiplied as follows:

Pizza used as breakfast = 3/4 * 3/8

= 3 * 3 / 4 * 8

= 9/32

2. 3/5 of bag of coffee weighs = 6/7 pounds

1 bag of coffee weighs = 6/7 ÷ 3/5

The fractions are divided as follows:

Thus, = 6/7 * 5/3

= 6 * 5 / 7 * 3

= 30/21

= 10/7 pounds

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The equation for the line of best fit is: C. y = 0.894x + 0.535.

In order to determine the equation for the line of best fit, we would create a table of values based on the given x-values and y-values as follows;

x          y            x²        y²          xy__

5          4          25        16       20

6          6           36       36       36

9          9           81        81        81

10         11          100       121       110

14          12        196       144      168  

Sum                  438       398     415

Next, we would calculate the mean of the x and y variables as follows;

Mean = [∑(x)]/n

Mean = 44/5

Mean, \(\bar{x}\) = 8.8

Mean = [∑(y)]/n

Mean = 42/5

Mean, \(\bar{y}\) = 8.4

∑(x - \(\bar{x}\))(x - \(\bar{y}\)) = (5-8.8)(4-8.4) + (6-8.8)(6-8.4)+(9-8.8)(9-8.4)+(10-8.8)(11-8.4)+(14-8.8)(12-8.4)

∑(x - \(\bar{x}\))(x - \(\bar{y}\)) =45.4

∑(x - \(\bar{x}\))² = (5-8.8)²+(6-8.8)²+(9-8.8)²+(10-8.8)²+(14-8.8)²

∑(x - \(\bar{x}\))² = 50.8

Now, we can determine the slope coefficient for the line of best fit:

Slope (b) = 45.4/50.8

Slope (b) = 0.894.

Lastly, we would determine the intercept (a) as follows;

\(a = \bar{y} - b\bar{x}\)

a = 8.4 - (0.894)8.8

a = 0.535

Therefore, the required equation is y = 0.894x + 0.535.

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The value for differential equation is found as -

\(\frac{dP}{dt} =\frac{d}{dt} (\frac{c_1e^t}{1+c_1e^t})\\\)

\(\frac{dP}{dt} - (\frac{c_1e^t}{(1+c_1e^t)} )(1-\frac{c_1e^t}{(1+c_1e^t)^2})\\ =(\frac{c_1e^t}{(1+c_1e^t)^2} )-(\frac{c_1e^t}{1+c_1e^t})(1-\frac{c_1e^t}{1+c_1e^t})=0\)

What is differential equation?

Any equation with one or more terms and one or more derivatives of the dependent variable with respect to the independent variable is referred to as a differential equation.

The equation given is - \(P=\frac{c_1e^t}{1+c_1e^t}\)

Take derivative with respect to t -

\(\frac{dP}{dt} =\frac{d}{dt} (\frac{c_1e^t}{1+c_1e^t})\\\frac{dP}{dt} =\frac{d}{dt}c_1 (\frac{e^t}{1+c_1e^t})\)

By Quotient rule \(\frac{d}{dt} \frac{u}{v} =\frac{v\frac{du}{dt}- u\frac{dv}{dt}}{v^2}\) -

\(\frac{dP}{dt} =c_1 (\frac{(1+c_1e^t)\frac{d}{dt}(e^t)-(e^t)\frac{d}{dt}(1+c_1e^t)}{(1+c_1e^t)} )\\\frac{dP}{dt} =c_1 (\frac{(1+c_1e^t)(e^t)-(e^t)(0+c_1e^t)}{(1+c_1e^t)} )\)

(\(\frac{d}{dx} e^t=e^t\) and \(\frac{d}{dx} c_1=0\) here \(c_1=\)constant)

\(\frac{dP}{dt} =c_1e^t (\frac{(1+c_1e^t-c_1e^t)}{(1+c_1e^t)^2} )\\\frac{dP}{dt} = (\frac{(c_1e^t)}{(1+c_1e^t)^2} )\)

Now, \(\frac{dP}{dt} =P(1-P)\) -

\(\frac{dP}{dt} - (\frac{c_1e^t}{(1+c_1e^t)} )(1-\frac{c_1e^t}{(1+c_1e^t)^2})\\ =(\frac{c_1e^t}{(1+c_1e^t)^2} )-(\frac{c_1e^t}{1+c_1e^t})(1-\frac{c_1e^t}{1+c_1e^t})\\\frac{dP}{dt} =(\frac{c_1e^t}{(1+c_1e^t)} )(\frac{1}{1+c_1e^t}-1+\frac{c_1e^t}{1+c_1e^t})\\\frac{dP}{dt} =(\frac{c_1e^t}{(1+c_1e^t)} )(\frac{1-(1+c_1e^t)+c_1e^t}{1+c_1e^t})\\\frac{dP}{dt} =(\frac{c_1e^t}{(1+c_1e^t)} )(\frac{1-1-c_1e^t+c_1e^t}{1+c_1e^t})\\\)

\(\frac{dP}{dt} =(\frac{c_1e^t}{(1+c_1e^t)} )(\frac{0}{1+c_1e^t})\\\frac{dP}{dt} =(\frac{c_1e^t}{(1+c_1e^t)} )(0)\\\frac{dP}{dt} =0\)

Therefore, the value is \(\frac{dP}{dt} =0\).

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Answer:

18xy-2x-5y-8

Step-by-step explanation:

Просто умножьте,то что было в скобках

Answer:

See below ↓↓↓↓

Step-by-step explanation:

1.

2.

3.

4.

The roots of the given polynomial using the rational zero theorem are;  2, -4 and 6.

We are given the polynomial;

y = x³ - 4x² - 20x + 48

Since all coefficients are integers, we can apply the rational zeros theorem.

The trailing coefficient (the coefficient of the constant term) is 48

Find its factors (with the plus sign and the minus sign): ±1, ±2, ±3, ±4, ±6, ±8, ±12, ±16, ±24, ±48.

These are the possible values for p.

The leading coefficient (the coefficient of the term with the highest degree) is 1.

These are the possible rational roots:

±1, ±2, ±3, ±4, ±6, ±8, ±12, ±16, ±24, ±48.

Checking the possible roots: if a is a root of the polynomial P(x), the remainder from the division of P(x) by x - a should equal 0 (according to the remainder theorem, this means that P(a)=0

Plugging in those values, the only ones that yield P(a) = 0 are; 2, -4 and 6.

Thus, these are the roots of the given polynomial.

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r is the character which is not treated

Answer:

5 by the power of 5

3125 is the answer

\(\huge\text{Hey there!}\)

\(\huge\textbf{Equation:}\)

\(\large\textsf{5(5)(5)(5)(5)}\)

\(\huge\textbf{Solving for your equation:}\)

\(\large\textsf{5(5)(5)(5)(5)}\)

\(\large\textsf{= 25(25)(5)}\)

\(\large\textsf{= 625(5)}\)

\(\large\textsf{= 3,125}\)

\(\huge\textbf{Or you could simply say:}\)

\(\large\textsf{5(5)(5)(5)(5)}\\\uparrow\ \uparrow \ \ \ \uparrow \ \ \ \uparrow \ \ \uparrow\\\large\textsf{1 2 \ 3 \ \ 4 \ 5}\\\\\large\text{Seems to me that you have a 5 fives. So, most likely your exponent: }\\\large\boxed{\rm{5^5}}\)

\(\huge\textbf{Therefore, your answer should be:}\)

\(\huge\boxed{{Original\ answer \rightarrow \frak{3,125}}}\huge\checkmark\\\\\\\huge\boxed{Exponenential\ form \rightarrow \frak{5^5}}\huge\checkmark\)

\(\huge\text{Good luck on your assignment \& enjoy your day!}\)

The angle between the given vectors v and w is found to be 50.13°.

Using the dot product, v · w = |v| |w| cosθ, first, we need to find the dot product of v and w,

v · w = (4i) · (2i + 5j)

= 8i² + 20ij (since i · j = 0)

= -8 + 20j (since i² = -1)

Next, we need to find the magnitudes of v and w,

|v| = √(4²) = 4

|w| = √(2² + 5²)

|w| = √29

Now we can substitute these values into the dot product formula and solve for θ,

v · w = |v| |w| cosθ

-8 + 20j = 4 √29 cosθ

cosθ = (-8 + 20j) / (4 √29)

θ = cos⁻¹[(-8 + 20j) / (4 √29)]

cosθ ≈ 0.634

θ ≈ 50.13°

Therefore, the angle between v and w is approximately 50.13°.

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Answer:

To calculate 2 3/4 of 500 grams, follow these steps:

1. Convert the mixed number to an improper fraction:

2 3/4 = (2 x 4 + 3)/4 = 11/4

2. Multiply the improper fraction by 500:

11/4 x 500 = (11 x 500)/4 = 2,750/4

3. Simplify the fraction by dividing the numerator and denominator by their greatest common factor, which is 2:

2,750/4 = (2 x 1,375)/(2 x 2) = 1,375/2

Therefore, 2 3/4 of 500 grams is equal to 1,375/2 grams or 687.5 grams.

Step-by-step explanation:

1. 12/40 or 30% chance

2. 60

Explanation: 1. Not gonna lie i searched it up

2. x/200 times 12/40 = 2400/40

Answer:

x + 5y = -8

Step-by-step explanation:

Slope-Intercept Form: y = mx + b

Step 1: Find b

y = -1/5x + b

0 = -1/5(-8) + b

0 = 8/5 + b

b = -8/5

Step 2: Rewrite equation

y = -1/5x - 8/5

Step 3: Isolate x and y

1/5x + y = -8/5

Step 4: Multiply everything by 5

x + 5y = -8

You have to graph the following function

This is a linear function with slope m=1, this means that each time x increases one unit, y also increases one unit.

To sketch this function you have to choose at least two values of x and determine the corresponding value of y.

Then plot the points and draw the line.

I will make a table with 5 points of the line:

Now what's left is to plot all points and link them with a line:

AC is not equal to CE based on the angle bisector theorem. The answer is: C. NO, you cannot use the angle bisector theorem to determine that AC = CE.

According to the angle bisector theorem, when a line segment divides an angle of a triangle, the line segment also divides the opposite side but does so in such a way that the two segments are proportional to the other two sides of the triangle. However, the two segments are not congruent to each other.

In the diagram given below that shows the suspect, the police officer, and the 26th Street toward Cherry Street, the angle bisector divides the side opposite to the angle divided into AC and CE. Thus, their length cannot be ascertain to be congruent to each other, however, based on the angle bisector theorem, we can only prove that their length is proportional to the other two sides of the triangle.

Therefore, we can conclude as saying:

C. NO, you cannot use the angle bisector theorem to determine that AC = CE.

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Answer:

Same side interior angles

x=10

Step-by-step explanation:

The angles are same side  interior angles

The add to 180 degrees

6x+10 + 110 = 180

Combine like terms

6x+120 =180

Subtract 120 from each side

6x = 180-120

6x= 60

Divide by 6

6x/6 = 60/6

x = 10

Answer:

Same-Side Interior Angles

Equation: 6x + 10 + 110 = 180

x = 10

Step-by-step explanation:

Hello!

The sum of the two given angles is 180°, as they are same-side interior angles.

Equation: 6x + 10 + 110 = 180

The value of x is 10°.

Resposta:49

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Answer:

true

Step-by-step explanation:

Answer:

Step-by-step explanation:

We are to prove the cofunction Identity using the Addition and Subtraction Formulas. \(tan(\pi/2 - u) = cot (u)\)

From trigonometry identity, \(tan x = sinx/cosx\), starting from right hand side of the equation, the expression above will become;

\(tan(\pi/2 - u) = \dfrac{sin(\frac{\pi}{2}-u )}{cos(\frac{\pi}{2}-u) }........ \ 1 \\\\from\ quadrant;\\\\sin(\frac{\pi}{2}-u) = cos (u) \ and \ cos(\frac{\pi}{2}-u) = sin(u)\)

Substituting this trigonometry identities into equation 1 we will have;

\(tan(\pi/2 - u) = \dfrac{cos(u)}{sin(u)}\)

Since cot(u) = 1/tan(u) = cos(u)/sin(u), hence;

\(tan(\pi/2 - u) = \dfrac{cos(u)}{sin(u)} = cot(u)\\\\tan(\pi/2 - u) = cot (u)\ Proved!\)

Answer: B

Step-by-step explanation:

First, you want to find out how many ounces of slime she filled per minute. So 75 containers that are 2 ounces each, 75 x 2 equals to 150 ounces. We know that she has filled 150 ounces in 50 minutes, so we'll divide this to figure out how many ounces she fills per minute. So 150 divided by 50 equals to 3 ounces filled per minute. Now we want to figure out how many ounces she would need to fill up the 450 containers. We'll multiply 450 by 2, which gives 900 ounces. We want to divide 900 ounces by 3 ounces per minute, in order to know how much time it would take to fill it up, which is 300 minutes. Because the answers are in hours, we'll divide 300 by 60 (total number of minutes in 1 hour) and the answer we get is 5. Therefore, it will take Kylie 5 hours to fill up 450 of the 2-ounce plastic containers.

To put it into numbers:

75 x 2 = 150

150 ÷ 50 = 3

450 x 2 = 900

900 ÷ 3 = 300

300 ÷ 60 = 5

(You could also use the total amounts in order to get the answer for this question. We know that it takes 50 minutes to fill 75 containers, so we divide 450 by 75. In turn, we get 6, now we multiply 50 minutes by 6 which still gives us 300 minutes. Divide 300 minutes by 6 and again we get 5 hours.)

In all honesty, this question first confused me when I read it. For example, are we taking into account the time she used to mix the slime into the 50 minutes? However, I thought that something is better than no answer at all, so I tried to work out an answer that was included in the options given (A, B, C, D). But I cannot say with 100% certainty that this may be the correct answer. It's your choice whether you want to use this explanation for your problem, so I sincerely hope that this helped you out.

Answer:

A

Step-by-step explanation:

DE is the shortest side because it's is opposite to the smallest angle (<F)

180 - 60 = 3X +2X + 5,

X = 23

<F = 2*(23) +5 = 51

Answer:

He is incorrect. He actually got an 80%

Step-by-step explanation:

\(\frac{8}{10}\) = 80%

I hope this helps!

Answer:A unique line is defined by any two distinct (not identical) points. You have two distinct, which means you have a line. To find the equation for the line, we start with the slope-intercept equation for a line. This is only a template for a generic line, so we will have to find the specific values of m (slope) and b (y-intercept) that define your line.

The template: y = mx + b

b is the y-intercept, which, if you look at (0,–2), you will see is –2; it is where the line crosses the y-axis. Fill that value of b into our template to get:

y = mx – 2

Now, we only need the value of m, which is the slope. If you have two points on a line, you can calculate the slope of that line. The slope is the change (difference) of y over the change in x (difference) of x for two given points on the line. It's a fraction or ratio though sometimes it can be reduced to an integer.

So, taking your two points, you calculate the slope, m, in the following way:

(x1,y1) = (0,–2)

(x2,y2) = (5,1)

        y2 – y1                   1 – (–2)                1 + 2               3

m = ________   =     ________    =     ________  =    ____

       x2 – x1                      5 — 0            

Step-by-step explanation:

The probability of choosing a number from the sample space that contains ​both 5 and 6 is 0.333.

The tree diagram shows all the possible two-digit numbers that can be created using the digits 8, 5, 4, and 6. Each branch in the tree represents a different digit that can be added to the number.

To find the probability of choosing a number from the sample space that contains both 5 and 6, we need to count the number of two-digit numbers that contain both 5 and 6, and divide that by the total number of possible two-digit numbers.

From the tree diagram, we can see that there are four possible two-digit numbers that contain both 5 and 6: 56, 65, 58, and 85.

The total number of possible two-digit numbers is the product of the number of choices for each digit, which is 4 × 3 = 12.

Therefore, the probability of choosing a number from the sample space that contains both 5 and 6 is 4/12 or 1/3, which can also be expressed as a decimal or percentage as 0.333 or 33.3%, respectively.

In summary, the probability of choosing a number from the sample space that contains both 5 and 6 is 1/3, or 0.333, or 33.3%.

Correct Question :

The tree diagram shows the sample space of​ two-digit numbers that can be created using the digits ​8, 5​,4 ​, and 6. What is the probability of choosing a number from the sample space that contains ​both 5 and 6?

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If we try to use L'Hopital's Rule to find the limit we cannot apply L’Hopital’s Rule because the denominator equals zero for some value x = a, the correct option is D.

We are given that;

Function \(x/√x^2 +6\)

Now,

The limit of the function as x approaches infinity is an indeterminate form of type ∞/∞.

However, L’Hopital’s Rule can only be applied when the limit is in the form 0/0 or ∞/∞.

So, L’Hopital’s Rule cannot be applied in this case

Therefore, by L’Hopital’s rule answer will be  You cannot apply L’Hopital’s Rule because the denominator equals zero for some value x = a.

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Given:

To rent a certain meeting room, a college charges a reservation fee of $39 and an additional fee of $8.40 per hour.

Let the number of hours = t and the total fee = F

So,

The chemistry club wants to spend less than $72.60 on renting the meeting room.

So, substitute with F = 72.6 and solve for t

so, the answer will be time should not exceed 4 hours

Answer:

7.8 miles

Step-by-step explanation:

5.9 + 1.9 = 7.8miles