The lunch choices last Friday were mushroom or pepperoni pizza. The cafeteria made 8
mushroom pizzas and 72 pepperoni pizzas. What percentage of the pizzas were mushroom
pizzas?

Reducing

30-30*0.3=

21

21+21*0.05=22.05

The key point in the equation log base 13 X = Y is that it represents the logarithmic relationship between the base 13 logarithm of X and the variable Y. The asymptote in this equation is the line Y = 0, which represents the limit or boundary as Y approaches negative or positive infinity.

To find the key point, we need to rearrange the equation to isolate X. Taking the exponentiation of both sides with base 13, we get X = 13^Y. This means that for any given value of Y, X is equal to 13 raised to the power of Y.

To find the asymptote, we can consider the behavior of the equation as Y approaches negative or positive infinity.

As Y approaches negative infinity, the value of X will approach zero, since 13 raised to a very large negative power becomes very small.

As Y approaches positive infinity, the value of X will increase without bound, as 13 raised to a very large positive power becomes very large.

In summary, the key point in the equation log base 13 X = Y is that X is equal to 13 raised to the power of Y. The asymptote is the line Y = 0, representing the limit or boundary as Y approaches negative or positive infinity.

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Answer:

Step-by-step explanation:

First, we use alternating angles which makes (8x -34) = (5x + 2)

8x - 34 = 5x + 2

Then we collect similar terms

8x - 5x = 2 + 34

3x = 36

x = 12

Since ∠DEF is 5x + 2 and x is 12

Sub x into the expression

5(12) + 2

60 + 2 = 62

∴ ∠DEF = 62°

Answer: Tax(240), Total cost(6240)

Step-by-step explanation:

6000 x .04 =240

240 +6000 = 6240

A correlational result can be used to infer causality, but only if the value of r is greater than 0.

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The magnitude of AB is sqrt(14), the unit vector in the direction of AB, and  the vector equation for the line through points A and B is: r = <1, 0, 4> + t<1/sqrt(14), -3/sqrt(14), -2/sqrt(14)>

(a) To find the magnitude of AB, we first need to find the vector AB. This can be done by subtracting the coordinates of A from the coordinates of B:
AB = <2-1, -3-0, 2-4> = <1, -3, -2>
The magnitude of AB is then:
|AB| = sqrt(1^2 + (-3)^2 + (-2)^2) = sqrt(14)
So, the magnitude of AB is sqrt(14).
(b) To find a unit vector in the direction of AB, we divide the vector AB by its magnitude:
AB/|AB| = <1/sqrt(14), -3/sqrt(14), -2/sqrt(14)>
This is the unit vector in the direction of AB.
(c) To write a vector equation for the line through the points A and B, we need a direction vector and a point on the line. We already have the direction vector, which is AB. We can use point A as the point on the line. Therefore, the vector equation for the line through points A and B is:
r = <1, 0, 4> + t<1/sqrt(14), -3/sqrt(14), -2/sqrt(14)>
where r is the position vector of any point on the line and t is a parameter that can take on any real value.

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Answer:

About 822 hours.

Step-by-step explanation:

If you get $10.25 per hour of work, and are trying to figure out X hours to reach $8,425, you just divide the total goal by your hourly rate to find hte number of hours you need to work. All work is attached in the picture.

In 2016,  the probability that a randomly selected UC undergrad had experienced both food insecurity and homelessness at some point in the past 12 months is 0.0385

Since form the graph, we know that 77% experienced homelessness and

9% Food Insecurity

If the total sample is 100%

Then the the probability that a randomly selected UC undergrad had experienced both food insecurity and homelessness at some point in the past 12 months is:

0.05 x 0.77 = 0.0385

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Full Question:

See attached image.

In 2016, what was the probability that a randomly selected UC undergrad had experienced both food insecurity and homelessness at some point in the past 12 months?

Answer:

x = 40

Step-by-step explanation:

50 + 150 + 2x + x + x

200 + 4x

360 - 200 = 160

160 / 4 = 40

x = 40

50 + 80 + 40 + 150 + 40

Answer:

99

0+3+5+7+9+11+13+15+17+19

Answer:

12:30 PM

Step-by-step explanation:

In 2 hours (8:30 AM and 10:30 AM) she filled half of the full pond.

So to fill the other half we double how long it has taken her to do the first half assuming she doesn't stop. Therefore, the answer will be 12:30 PM

MAKE SURE TO WRITE PM AS IT IS AT MIDDAY

Answer:

Hello, the pool will be full at 12:30 PM. 1200 gallons is half of the capacity of the pool (2400), and the pool was half full at 10:30 AM after being run since 8:30 AM - two hours. This means that the pool will only need two more hours to fill up, and it will be full at 12:30 in the afternoon.

Have a great day! - Mani :)

Answer:

is there supposed to be a picture that goes with this

Step-by-step explanation:

: 0

Answer:

A. 4(x - 1)^2

B. (a+4b)^2

The slopes of perpendicular lines are opposite reciprocals and hence option D is correct

The slope of the given line is 3/8, so its opposite reciprocal is -8/3. From the options we have to find a line with this slope.

In the given line, it was easy to find the slope because the equation is in slope-intercept form, but in the options the equations are in standard form,

If we solve this for y we get the slope-intercept form,

Thus the slope of a line whose equation is in standard form is,

• Option A: a = 3, b = 8. The slope is -3/8 → ,not perpendicular

• Option B: a = 3, b = -8. The slope is 3/8 → ,not perpendicular

• Option C: a = -8, b = 3. The slope is 8/3 → ,not perpendicular

• Option D,: a = 8, b = 3. The slope is -8/3 → ,this line is perpendicular, to the given line

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Answer:

Step-by-step explanation:

Given is an isosceles triangle.

Sum of interior angles is 180°:

Correct choice is B

To calculate the standard error (SE) for the percentage of young adults who favor gay marriage, we need to consider the sample size and the proportion of individuals in the sample who favor gay marriage.

The formula for calculating the standard error (SE) of a sample proportion is SE = sqrt((p * (1 - p)) / n), where p is the sample proportion and n is the sample size.

In this case, the sample proportion is given as 73% or 0.73, and the sample size is 321 young adults. Substituting these values into the SE formula, we get SE = sqrt((0.73 * (1 - 0.73)) / 321).

To calculate the SE, we first calculate (0.73 * (1 - 0.73)) to get 0.1979. Dividing this value by the sample size of 321 and taking the square root, we find that the SE for the percentage of young adults who favor gay marriage is approximately 0.0211.

Therefore, the standard error (SE) for the percentage of young adults who favor gay marriage, based on the CBS news poll data, is approximately 0.0211 or 2.11%. The SE provides an estimate of the variability or margin of error associated with the sample proportion.

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a) If the motorcycle starts from rest, then we have an initial speed equal to zero (V0 = 0), with this we can choose a formula that does not contain the initial speed, now we also know that what it asks us is the time that it takes a certain speed to pass, so the formula we will use will be:

\(\bf{\displaystyle d=\frac{a{{t}^{2}}}{2}}\)

Clearing "t"

\(\boldsymbol{\sf{t=\sqrt{\dfrac{2d}{a} } } }\)

The distance is in Kilometers, we first need to pass this distance in meters, so we'll need to do our conversion:

\(\boldsymbol{\sf{1.6\not{km}*\dfrac{1000 \ m}{1\not{km}}=1600 \ m } }\)

1.6 km = 1600m

Substituting our data into the formula:

\(\boldsymbol{\sf{t=\sqrt{\dfrac{2d}{a} }=\sqrt{\dfrac{2(1600 \ m) }{9.45 \ \frac{m}{s^2} } }=84.32 \ s } }\)

So the motorcycle will take 84.32 seconds to travel 1600 meters.

b) Since we are asked to obtain the speed in the time it took for the 1600 meters, we are going to use the following formula.

\(\boldsymbol{\sf{V_{f}=at }}\)

Substituting our data:

\(\boldsymbol{\sf{V_{f}=at=\left(0.45 \ \dfrac{m}{\not{s^{2}} }\right)(84.23 \ s)=37.94 \ \dfrac{m}{s} }}\)

In order to express the final result of the speed, in terms of km/h, we would only apply the conversion factors.

\(\boldsymbol{\sf{V_{f}=37.94\dfrac{\not{m}}{\not{s}}*\dfrac{1 \ km}{1000\not{m}}*\dfrac{3600\not{s}}{1 \ h}=136.58 \ \dfrac{km}{h} }}\)

1. The object's position at t = 1.44 is equal to 16.496.

2. The object's average velocity between the times t = 4.1 s and t = 6.65 s is 40.632 m/s.

3. The object's instantaneous velocity is 21.6 m/s at 4.93 seconds.

Question 1:

For the given expression, the object's position as a function of time in one dimension is given by: 3.38t² + 2.66t + 5.47. We have to find the object's position at t = 1.44.

Given expression: 3.38t² + 2.66t + 5.47.

Thus, the object's position at t = 1.44 is equal to 16.496.

Question 2:

For the given expression, the object's position as a function of time in one dimension is given by: 3.18t² + 2.73t + 5.81. We have to find the object's average velocity between the times t = 4.1 s and t = 6.65 s.

Given expression: 3.18t² + 2.73t + 5.81.

The object's velocity v(t) will be the derivative of the given expression: v(t) = dv/dt (3.18t² + 2.73t + 5.81). Simplifying the derivative, we get v(t) = 6.36t + 2.73.

Average velocity between the times t = 4.1 s and t = 6.65 s will be:

Therefore, the object's average velocity between the times t = 4.1 s and t = 6.65 s is 40.632 m/s.

Question 3:

For the given expression, the object's velocity as a function of time in one dimension is given by: v(t) = 3.23t + 7.68. We have to find at what time the object's instantaneous velocity is 21.6 m/s.

Given expression: v(t) = 3.23t + 7.68.

The instantaneous velocity is the derivative of the given expression: v(t) = dv/dt (3.23t + 7.68). Simplifying the derivative, we get v(t) = 3.23.

The object's instantaneous velocity is 21.6 m/s.

Thus, the object's instantaneous velocity is 21.6 m/s at 4.93 seconds.

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If Sirius rises at 8:00 p.m. tonight, it will rise around 7:56 p.m. tomorrow night, to the nearest minute.

Sirius, the brightest star in the night sky, rises approximately four minutes earlier each day due to Earth's rotation. Therefore, if Sirius rises at 8:00 p.m. tonight, it will rise approximately four minutes earlier tomorrow night.

To find the exact time, we need to consider the sidereal day, which is the time it takes for Earth to complete one rotation relative to a fixed point in space. The sidereal day is about 23 hours, 56 minutes, and 4 seconds. Since we are only interested in the approximate time, we can disregard the additional 4 minutes and 4 seconds.Therefore, if Sirius rises at 8:00 p.m. tonight, it will rise around 7:56 p.m. tomorrow night, to the nearest minute.

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Answer:

-8x

Step-by-step explanation:

Multiply -8 and x so it is -8x

Answer:

44u+66

Step-by-step explanation:

11(4u+6)=44u+66

Answer:

Step-by-step explanation:

In a tent, there are nine boys.

There were five tents.

5 tents containing 9 boys can equal 45 boys.

(5 x 9 = 45)

In a cabin, there are seven boys.

There were four cabins.

4 cabins containing 7 boys can equal 28 boys.

(4 x 7 = 28)

Now, to find all the boys, add the numbers together.

28 boys with 45 boys will equal 73 boys.

Please check my answer for no one, not even me is right.

Good luck :)

Answer:

Step-by-step explanation:

Hmmm

There are a few ways to find the radius of a circle. In one way, you can use the formula: r = C / 2π.

Finding the radius of a circle is an important concept in geometry and mathematics. The radius of a circle is the distance from the center of the circle to any point on the circle's circumference. To find the radius of a circle, you can use the formula: r = C / 2π, where r is the radius, C is the circumference of the circle, and π (pi) is a mathematical constant approximately equal to 3.14. Another method is to use the formula for the area of a circle: A = πr². And another way is to divide the diameter of the circle by 2. These methods can be useful when working with circles in geometry or other mathematical applications.

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It would take about 36 minutes for the soup to cool to 100°F.

The rate at which an object's temperature changes when it comes into contact with a medium that has a different temperature is described by Newton's law of cooling. According to this, an object's rate of heat uptake or loss is directly correlated with the temperature difference between the object and its surroundings.

We know that;

T(t) = T(s) + (T(o) - T(s))\(e^-kt\)

130= 50 + (190 - 50)\(e^-20k\)

130 - 50 =  (190 - 50)\(e^-20k\)

80 =  (190 - 50)\(e^-20k\)

80/140 = \(e^-20k\)

0.57 = \(e^-20k\)

ln(0.57) = ln \(e^-20k\)

-0.56 = - 20 k

k = 0.028

Then the time taken to cool to  100°F

100 = 50 +  (190 - 50)\(e^-0.028t\)

50/140 =\(e^-0.028t\)

0.36 = \(e^-0.028t\)

t = ln(0.36)/-0.028

t = 36 minutes

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Answer:

3/4 = 16/x. Step-by-step explanation: Set up the original ratio: 3:4 (a.k.a. 3/4 or 3 to 4) Because 16 correlates to red paint and 3 correlates to red paint the will be in the same location (as the numerator or denominator).. Also, the amount of blue paint is unknown so that is x.4 also represents blue paint, so 4 and x will also be on the same level (as the numerator of denominator).

Step-by-step explanation:

Answer:

364.42 ft.

Step-by-step explanation:

For step 1 we should multiply pi by r and 2.

π x r x 2

For step 2 we should multiply pi by 58 and 2.

π x 58 x 2

In result, we should end up with 364.424748 ft. or for short 364.42 ft.

I hope I helped you... Have a great and nice day! :D