Answer? Appreciate the help

Answer:

she can feed 2,220 people with 555555 pancakes.

Step-by-step explanation:

Answer:20 people

Step-by-step explanation:

we can solve the problem by setting a simple proportion.

We know that 22 pancakes can feed 8 people, so we have to find the number x which corresponds to the number of people that can be feeded with 55 pancakes:

Solving the proportion, we find

So, 55 pancakes can feed 20 people.

The estimate that 2.8 million square feet of the building is used for office space is not reasonable

From the plan, the width of the building is:

Width = 230 feet

The building has a circular area, and it has four floors

So, the estimate of the building area is:

Area= 4πR²

So, we have:

Area= 4 * 3.14 * 230²

Evaluate

Area= 664424

The above value cannot be approximated to 2.8 million

Hence, the estimate used for office space is not reasonable

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Answer:

y = 4/3x - 6

Step-by-step explanation:

The slope of the 1st line is -3/4

So for the perpendicular line it has to be the exact opposite.

That looks like this ---> 4/3x

And the y-intercept is -6 because if you make a straight line where the x intercept is it matches.

The equation would look like this

y = 4/3x - 6

Hope this helps! Have a blessed day!

Answer:

Step-by-step explanation:

First we must distribute the multiplier 3 over x + 4, obtaining 3x + 12.

We then have 3x + 12 = 3x + 12, or 12 = 12.  This is always true; the given equation has an infinite number of solutions.

Answer

D.pentagonal pyramid

Step-by-step explanation:

Hey there!☺

\(Answer:\boxed{8b-2}\)

\(Explanation:\)

\(5(b+2)+2b-12+b\)

Let's start by distributing.

\((5)(b)+(5)(2)+2b+-12+b\\5b+10(5\times2)+2b+-12+b\\5b+10+2b+-12+b\)

Now we will combine like terms.

\((5b+2b+b)+(10+-12)\\8b+-2\\8b-2\)

\(8b-2\) is your final answer.

Hope this helps!

The probability that a randomly selected junior biology major has taken either a statistics or a computer course is 0.68

To find the probability that a randomly selected junior biology major has taken either a statistics or a computer course (or both), we'll use the formula:

P(A or B) = P(A) + P(B) - P(A and B)

Where:
- P(A) is the probability of having taken a statistics course (52% or 0.52)
- P(B) is the probability of having taken a computer course (23% or 0.23)
- P(A and B) is the probability of having taken both courses (7% or 0.07)

Now, plug in the values:

P(A or B) = 0.52 + 0.23 - 0.07
P(A or B) = 0.68

So, the probability that a randomly selected junior biology major has taken either a statistics or a computer course (or both) is 0.68, or 68%.

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Answer:

2/3 gallons

Step-by-step explanation:

0.67 gallons or 2/3 gallons is used on the fence.

A fraction is written in the form of a numerator and a denominator where the denominator is greater that the numerator.

We have two types of fractions.

Proper fraction and improper fraction.

A proper fraction is a fraction whose numerator is less than the denominator.

An improper fraction is a fraction where the numerator is greater than the denominator.

Example:

1/2, 1/3 is a fraction.

3/6, 99/999 is a fraction.

1/4 is a fraction.

We have,

Amount of gallons = 2 gallons

The amount used on a fence.
= 1/3 of 2 gallons

Now,

1/3 x 2 gallons

= 2/3 gallons

= 0.67 gallons

Thus,

0.67 gallons or 2/3 gallons is used on the fence.

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Statistical power is a measure of the ability to reject the null hypothesis when it is false. It represents the probability of correctly identifying a true effect or relationship in a statistical hypothesis test.

A high statistical power indicates a greater likelihood of detecting a significant result if the null hypothesis is indeed incorrect. The power of a statistical test depends on several factors, including the sample size, the effect size (the magnitude of the true effect or difference), the chosen significance level (often denoted as α), and the variability or noise in the data. Increasing the sample size or effect size generally increases the statistical power, while a lower significance level or higher variability decreases it.

Power analysis is commonly used to determine an appropriate sample size for a study, ensuring that it is adequately powered to detect the desired effect. A higher power is desirable as it reduces the chances of a Type II error (failing to reject the null hypothesis when it is false) and increases the chances of correctly detecting real effects or relationships.

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The height of an equilateral triangle with sides that are 12 cm long is approximately 10.4 cm.

An equilateral triangle is a triangle whose sides are equal in length. All the angles in an equilateral triangle measure 60 degrees. The height of an equilateral triangle is the line segment that goes from the center of the triangle to the opposite side, perpendicular to that side. In order to find the height of an equilateral triangle, we can use a special right triangle formula: 30-60-90 triangle ratio.

Let's look at the 30-60-90 triangle ratio:
In a 30-60-90 triangle, the length of the side opposite the 30-degree angle is half the length of the hypotenuse, and the length of the side opposite the 60-degree angle is √3 times the length of the side opposite the 30-degree angle. The hypotenuse is twice the length of the side opposite the 30-degree angle.

Using the 30-60-90 triangle ratio, we can find the height of an equilateral triangle as follows:

Since all the sides of an equilateral triangle are equal, the height of the triangle is the length of the side multiplied by √3/2. Therefore, the height of an equilateral triangle with sides that are 12 cm long is:

height = side x √3/2
height = 12 x √3/2
height = 6√3
height ≈ 10.4 cm
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Answer:

2/7<4/5<5/6<7/9

Step-by-step explanation:

The fractions in ascending order will be 2/7<7/9<4/5<5/6.

Fraction number consists of two parts, one is the top of the fraction number which is called the numerator and the second is the bottom of the fraction number which is called the denominator.

The given number is,

7/9,2/7,4/5,5/6

The fraction with the smallest numerator is the smallest for fractions with the same denominator. Put the numbers 2/7,4/5,5/6,7/9. In ascending order, for instance. The fraction with the highest denominator is the smallest when all the fractions have the same numerator.

The LCM of the denominator 9,7,5 and 6 is 630.

The term equivalence for the denominator is,

490/630,180/630,504/630,525/630

The fractions in ascending order are,

180/630<490/630<504/630<525/630

2/7<7/9<4/5<5/6

Thus, the fractions in ascending order will be 2/7<7/9<4/5<5/6.

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A function f such that f '(x) = 3x^3 and the line 81x + y = 0 is tangent to the graph of f is f(x) = 3x^4/4 + 729/4.

In the given question, we have to find a function f such that f'(x) = 3x^3 and the line 81x + y = 0 is tangent to the graph of f.

The given function is f'(x) = 3x^3.

No integrating on both side,

f(x) = \(\int3x^3dx\) + C

f(x) = 3x^4/4 + C

As given, the line 81x + y = 0 is tangent to the graph of f.

So, slope at point of tangent; f'(x) = -81

So, 3x^3 = -81

Divide by 3 on both side, we get

x^3 = -27

Taking cube root on both side, we get

x = -3

So putting the value of x in 81x + y = 0, we get

y = 243

Thus, f(x) passes through (-3, 243).

So, 243 = 3/4(81) + C

Multiply by 4 on both side, we get

972 = 243 + 4C

Subtract 243 on both side, we get

4C = 729

Divide by 4 on both side, we get

C = 729/4

So, f(x) = 3x^4/4 + 729/4

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The common stock of flavorful teas has an expected return of 16. 35 percent. The return on the market is 13. 5 percent and the risk-free rate of return is 4. 0 percent. the beta of this stock is 1.3.

The beta of the stock can be calculated by rearranging the expected return formula.

The expected return formula is given below

Expected return = Risk-free rate of return x Beta( Return on market - Risk-free rate of return)

The given data is

Risk-free rate of return = 4%

Return on the market = 13.5%

Expected return = 16.35%

Beta =?

Expected return = Risk-free rate of return x Beta( Return on market - Risk-free rate of return)

16.35% = 4% x Beta(13.5% - 4%)

16.35% - 4% = Beta (9.5%)

12.35% / 9.5% = Beta

Beta = 1.3

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Answer:

1 hour 26 Minutes

Step-by-step explanation:

Tanya needs 2 hours to do the job.

Pat needs 5 hours to do this same job.

Tanya's rate  \(=\frac{1}{2}\)

Pat's rate\(=\frac{1}{5}\)

Let the number of hours it will take both of them =x

Rate when two of them work together  \(=\frac{1}{x}\)

Therefore:

\(\frac{1}{2}+\frac{1}{5}=\frac{1}{x}\\$Taking lowest common multiple$\\\frac{5+2}{10}=\frac{1}{x}\\\\\frac{7}{10}=\frac{1}{x}\\\\$Cross multiply$\\7x=10\\x=1.43$ hours\)

\(0.43 X 60 =25.8 \approx 26$ minutes\)

Therefore: 1.43 hour = 1 hour 26 Minutes

It will take both of them approximately 1 hour 26 minutes to  the job.

c is the best answer c c c c c c c c c c c c.

Answer:

Rational number

Step-by-step explanation:

√64 = 8

8 is whole number , integer ,natural number but all these combined form rational number

so the appropriate answer is rational number

Answer:

I'm pretty sure the answer is −20.2m−11.8

Step-by-step explanation:

The key distinction between a parallelogram and a trapezoid lies in their side properties and the number of parallel sides they possess.

A parallelogram and a trapezoid are different geometric shapes with distinct properties and characteristics.

1. Shape: A parallelogram is a quadrilateral with opposite sides that are parallel. It has four sides and four angles, with opposite angles being equal. The opposite sides of a parallelogram are also congruent. In contrast, a trapezoid is a quadrilateral with only one pair of parallel sides. The other two sides are non-parallel.

2. Angles: In a parallelogram, the opposite angles are equal. The sum of the interior angles of a parallelogram is always 360 degrees. In a trapezoid, the angles can vary, and the sum of the interior angles is always 360 degrees as well.

3. Sides: In a parallelogram, the opposite sides are equal in length. In a trapezoid, the parallel sides are not necessarily congruent.

4. Diagonals: The diagonals of a parallelogram bisect each other, meaning they divide each other into two equal parts. In a trapezoid, the diagonals do not bisect each other.

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Answer:

3 the answer is 3

Step-by-step explanation:

Answer:

they add on and then stop i beleave

Step-by-step explanation:

The amount of Chemical  B needed is 1.6 g.

This refers to a diagram that shows a series of one or more points, lines, line segments, curves, or areas that represents the variation of a variable when compared with that of one or more other variables.

The quantity of Chemical B is plotted against the quantity of  Chemical A.

Chemical B  is plotted on the vertical axis using the scale of 1 cm to represent 2 units. Chemical A is plotted on the horizontal axis using the scale of 1 cm to represent 1 unit.

Therefore, on the graph, the line passing through the origin of the graph shows that when  1.4 g of Chemical A is used  1.6 g of Chemical B is needed.

Chemical B  is plotted on the vertical axis using the scale of 1  cm to represent 2 units.

To get the amount of Chemical B is  on vertical axis =  2 grams

                                                                                             5 boxes

                                                                                       =0.4 g

Tracing the mass of Chemical A used 1.4 g it meets the line passing through the center at 4th line (4th box).

To get the amount of Chemical B is  on vertical axis = amount of Chemical B per box * the number of line (boxes).

To get the amount of Chemical B is  on vertical axis = 0.4 g * 4 lines (boxes)

                                                                                        = 1.6 g

Hence The amount of Chemical  B needed is 1.6 g.

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Answer:

Correct option: 3

Step-by-step explanation:

The points (2,1) and (8,1) have the same y-coordinate, so to find the vertex of the quadratic function (where the axis of symmetry will be located), we just need to find the average of their x-coordinate:

x_vertex = (2 + 8) / 2 = 5

The points (2, 1) and (-8, 33) show that when the graph moves away from the axis of symmetry (from x = 2 to x = -8), the y value increases (from 1 to 33), so the vertex is a minimum.

Correct option: 3

Answer:

3

Step-by-step explanation:

I had this question and got it right on a test

An income is measured as an amount received in a specific period: weekly, biweekly, or yearly.

An income is a measure of the total amount of money earned by an individual or organization over a specific period, typically in a year.

It includes all sources of income such as wages, salaries, bonuses, tips, commissions, rental income, investment income, and gifts.

However, it does not include any amount that is borrowed or received as a loan. Income can be received on a weekly, biweekly, monthly, or yearly basis, but it is typically measured on an annual basis.

Income is different from the amount spent or saved during a specific period, which are measures of expenses and savings respectively.

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Answer:

income

Step-by-step explanation:

income...

The length of each leg of trapezoid KLMN is 6.

The length of the legs of trapezoid KLMN can be found using the given information and the formula for the perimeter of a trapezoid, which is P = a + b1 + b2 + c, where a and c are the lengths of the legs and b1 and b2 are the lengths of the bases.

Since KL = MN and angle 1 = angle 2, trapezoid KLMN is an isosceles trapezoid. Let x be the length of each leg and y be the length of each base. Then we have:

a = c = x

b1 = KN = 9x

b2 = LM = 8x

Using the given perimeter of 132, we can substitute these values into the perimeter formula and solve for x:

132 = x + 9x + 8x + x

132 = 19x + 2x

132 = 21x

x = 6

Therefore, the length of each leg of trapezoid KLMN is 6.

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Answer:

x = -4

Step-by-step explanation:

Rewrite: -3x = -12

Divide: x = -4

Answer:

y = 1/2x + 1

Step-by-step explanation:

Answer:

y=1/2x+1

Step-by-step explanation:

y=1/2x+b

2=(1/2)(2)+b

2=1+b

1=b

y=1/2x+1

Given:

A figure of a triangular prism.

Height of triangular base = \(9\dfrac{2}{3}\) yd

Base of triangular base = 4 yd

Height of prism = 4 yd.

To find:

The volume of the triangular prism.

Solution:

Volume of a triangular prism is:

\(V=Bh\)              ...(i)

Where, B is the area of triangular base and h is the height of the prism.

Area of triangular base is:

\(B=\dfrac{1}{2}\times base\times height\)

\(B=\dfrac{1}{2}\times 4\times 9\dfrac{2}{3}\)

\(B=2\times \dfrac{29}{3}\)

\(B=\dfrac{58}{3}\)

Putting \(B=\dfrac{58}{3}\) and h=4 in (i), we get

\(V=\dfrac{58}{3}\times 4\)

\(V=\dfrac{232}{3}\)

\(V=77.33...\)

\(V\approx 77.3\)

The volume of the triangular prism is 77.3 cubic yards. Therefore, the correct option is 2.

If O is the intersection point of the perpendicular bisectors of line segments DE and EF, then O is the center of the circle that passes through the three points.  

1: Draw line segments DE and EF. Since the question states that the points D, E, and F are not on a line, we can assume that these three points form a triangle. So, we will draw line segments DE and EF as shown in the diagram below.

2: Construct the perpendicular bisectors of DE and EF.A perpendicular bisector is a line that passes through the midpoint of a line segment and is perpendicular to it. We can construct the perpendicular bisectors of line segments DE and EF using a straight edge and a compass. After constructing the perpendicular bisectors, we label the point of intersection O.

3: Explain why point O is the center of the circle that passes through the three points.Since the perpendicular bisectors of DE and EF intersect at point O, we know that point O is equidistant from points D and E, and also equidistant from points E and F. This means that O is equidistant from all three points D, E, and F.

Hence, O is the center of the circle that passes through these three points.

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Matt was charged $1.49 for each shirt, $4.99 for each pair of slacks, and $7.99 for each sports coat.

To determine the charges for each item, we'll assign variables to the unknown prices. Let's say the cost of each shirt is $x, each pair of slacks is $y, and each sports coat is $z.

From the given information, we can set up the following equations:

1) 4x + 2y = 15.94

2) 5x + 4y + z = 35.40

3) 3x + 2z = 20.45

To solve these equations, we can use any method, such as substitution or elimination. Here, we'll use the substitution method:

From equation 1, we can express y in terms of x:

2y = 15.94 - 4x

y = (15.94 - 4x) / 2

y = 7.97 - 2x

Now, let's substitute the value of y in equations 2 and 3:

2) 5x + 4(7.97 - 2x) + z = 35.40

5x + 31.88 - 8x + z = 35.40

-3x + z = 3.52

3) 3x + 2z = 20.45

Now we have a system of two equations with two variables:

-3x + z = 3.52   ...(4)

3x + 2z = 20.45  ...(5)

Let's solve this system of equations. Subtract equation (4) from equation (5) to eliminate x:

(3x + 2z) - (-3x + z) = 20.45 - 3.52

3x + 2z + 3x - z = 16.93

6x + z = 16.93

Now, let's solve this equation for z in terms of x:

z = 16.93 - 6x

Substitute this value of z into equation (4):

-3x + (16.93 - 6x) = 3.52

-3x - 6x + 16.93 = 3.52

-9x = 3.52 - 16.93

-9x = -13.41

x = -13.41 / -9

x = 1.49

Now we can substitute the value of x back into equation (4) to find z:

z = 16.93 - 6(1.49)

z = 16.93 - 8.94

z = 7.99

Finally, we can substitute the values of x and z back into equation (1) to find y:

4(1.49) + 2y = 15.94

5.96 + 2y = 15.94

2y = 15.94 - 5.96

2y = 9.98

y = 9.98 / 2

y = 4.99

Therefore, Matt was charged $1.49 for each shirt, $4.99 for each pair of slacks, and $7.99 for each sports coat.

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Step-by-step explanation:

a.

\(y = |x - 1| + 2\)

b.

\( - x + 3 \: \: \: \: \: \: \: \: \: \: \: \: x \leqslant 1 \\ \\ x + 1\: \: \: \: \: \: \: \: \: \: \: \:x > 1\)