At Joe's Pizzeria, small pizzas cost $7.50, and large pizzas cost
$11.00. One day between 3:00 PM and 9:00 PM, Joe sold 100 pizzas
and took in $848. How many more small pizzas than large pizzas did
Joe sell during that 6-hour period?
(A) 28
(B) 44
(C) 56
(D) 72

Answer:

$1783.03

Step-by-step explanation:

Annually compounding interest formula:

PV(1+i)ⁿ

1500(1+.025)⁷

1500(1.025)⁷

1783.028631

which rounds to

1783.03

Answer:

$1783.03

Step-by-step explanation:

You use the formula for finding the interest rate.

So 1500(1+.025)^7

Which you put that in a calculator and it comes to out to 1783.0286. Then just round up.

Hope this helps

Brainliest would be appreciated

Answer:

C. \(y-9=-\frac{3}{7}(x+4)\)

Step-by-step explanation:

Perpendicular lines have slopes that are negative reciprocals of each other.

Answer:

<1 and <2 are remote interior angles of <6

<2 and <3 are remote interior angles of <4

The solution of the integral over general regions is ∫∫dA = \(\int ^\pi _0\) π dx \(\int ^{sin x} _{2x/\pi}\) dx

Let's consider a specific value of x, say x = a. Then we know that the y values that satisfy the inequalities for this x value are given by 0 ≤ 2a/π ≤ y ≤ sin a. We can represent this vertical slice as a rectangle with base length sin a - 2a/π and height dx (since we are integrating with respect to x).

The area of this rectangle is (sin a - 2a/π) dx, so the contribution to the total area from this vertical slice is given by the integral ∫(sin a - 2a/π) dx evaluated from 0 to π.

We can evaluate this integral using the Fundamental Theorem of Calculus, which tells us that the antiderivative of sin a is -cos a, and the antiderivative of -2a/π is -a²/π. Plugging in the limits of integration, we get:

∫(sin a - 2a/π) dx = [-cos a - (a²/π)] from 0 to π

= (-cos π - (π²/π)) - (-cos 0 - (0²/π))

= π + 0

So the contribution to the total area from this vertical slice is π. We need to integrate over all possible values of x to get the total area, so we set up the integral:

∫∫dA = \(\int ^\pi _0\) π dx \(\int ^{sin x} _{2x/\pi}\) dx

To know more about integral here

https://brainly.com/question/18125359

#SPJ4

Answer:

Its simple : 3.1w

Answer:

3.1w

explanation

The idea that two variables are unrelated in the population is referred to as statistical independence. Therefore, option d is correct.

Statistical independence is a term used in probability theory and statistics to describe the independence of two random variables. If two random variables are independent, the occurrence of one does not have any impact on the probability distribution of the other.Therefore, if we have two random variables X and Y, and they are statistically independent, the occurrence of X has no effect on the likelihood of Y occurring. In other words, the occurrence of X does not affect the occurrence of Y in any way.So, we can say that two variables are said to be statistically independent when the occurrence of one variable does not have any influence on the probability of occurrence of the other variable. We can also say that there is no association between the two variables.In conclusion, we can say that statistical independence is a fundamental concept in probability theory and statistics, which helps to understand the relationship between two random variables and the probability of their occurrence.

Learn more about statistical independence here:-

https://brainly.com/question/32630092

#SPJ11

Variable is a data characteristic that stands for a value that changes or varies over time.

A variable is any characteristics, number, or quantity that can be measured or counted. A variable may also be called a data item. Age, sex, business income and expenses, country of birth, capital expenditure, class grades, eye colour and vehicle type are examples of variables.

Information is that portion of the content of a signal or message which conveys meaning. (so this is the wrong option)

A fact is a quantitative piece of information - such as a sale or a download. (so this is also the wrong option)

Hence, a Variable is a data characteristic that stands for a value that changes or varies over time.

Learn more about variable here https://brainly.com/question/2804470

#SPJ4

The probability that the mean annual precipitation of a sample of 49 randomly picked years will be less than 92.8 inches is, 0.9192

What is standard deviation?

The standard deviation in statistics is a measurement of how much a group of values can vary or be dispersed. A low standard deviation suggests that values are often close to the set's mean, whereas a large standard deviation suggests that values are dispersed over a wider range.

Given: The annual precipitation amounts in a certain mountain range are normally distributed with a mean of 90 inches, and a standard deviation of 14 inches.

z score is given by,

z = (x - μ)/(σ/√n) = (92.8 - 90)/(14/√49) = 2.8/2 = 1.4

The  required probability is,

p(z < 1.4) = 0.9192, by standard normal table.

Hence, the  probability that the mean annual precipitation of a sample of 49 randomly picked years will be less than 92.8 inches is,  0.9192.

To know more about the standard deviation, click on the link

https://brainly.com/question/475676

#SPJ4

A type of statistical hypothesis known as a "null hypothesis" makes the case that a given set of observations does not have any statistical significance.

Using sample data, hypothesis testing is used to determine a hypothesis's credibility. It is represented as H0, and it is sometimes referred to as the "null."

Given; The average thickness and standard deviation of a sample of 50 eyeglass lens samples are 3.05 millimeters and.34 millimeters, respectively.

Such lenses should have a true average thickness of 3.20 mm. Utilizing a =.05

False hypothesis H0: Alternative hypothesis: mu1= mu2 HA: 'mu1' and 'ne'

Sample Size 50 Sample Mean 3.05 Sample Standard Deviation 0.34 Intermediate Calculations Standard Error of the Mean 0.0481 Degrees of Freedom 49 t Test Statistic -3.1196 Two-Tail Test Lower Critical Value -2.0096 Upper Critical Value 2.0096 p-Value 0.0030 Reject the null hypothesis

To learn more about Null hypothesis here

https://brainly.com/question/28920252

#SPJ4

Answer:

9.38%

Step-by-step explanation:

First this is the solution I used:

Percentage change = actual change/original amount x 100

Hope this helps.

Answer:

19.4

Step-by-step explanation:

This problem can be simplified to finding the diagonal of a rectangle of sides 19 and 4. Using the Pythagorean theorem gives FH = √(19^2 + 4^2) = 19.4

The diagonals of the parallelogram intersect at the center. Then the value of the variable 'x' is 38.

It is a polygon with four sides. The total interior angle is 360 degrees. A parallelogram's opposite sides are parallel and equal. Its diagonals intersect in the center.

Given parallelogram A B C D below, DE = 31 If EB = x - 7.

By the definition, then the equation is given as,

EB = DE

x - 7 = 31

Simplify the equation, then we have

x - 7 = 31

x = 31 + 7

x = 38

The value of the variable 'x' is 38.

More about the parallelogram link is given below.

https://brainly.com/question/1563728

#SPJ1

The polygon has 12 sides and each angle has a measure of 30°.

The border of a Susan B. Anthony dollar is in the shape of a regular polygon. A regular polygon is a polygon with equal sides and equal angles. To calculate the number of sides and measure of the angles, the formula for finding the measure of the interior angles of a regular polygon is used. The formula is (n-2)180/n where n is the number of sides. For the Susan B. Anthony dollar, the number of sides is 12, so the measure of the interior angles is (12-2)180/12 = 30°. Therefore, the polygon has 12 sides and each angle has a measure of 30°, rounded to the nearest degree.

Learn more about angle here

https://brainly.com/question/28451077

#SPJ4

The measure of this angle is 172°.

Circumference: Any shape's circumference establishes the path or boundary that encircles it. To put it another way, the circumference and perimeter both refer to the length of a shape's outline.

When two of its rays pass through the endpoints of an arc, line segment, or other section of a curve, the angle is subtended by that arc, line segment, or other section of the curve.

From the information provided.

The circle's 1/360th circumference measures 0.5 cm in length.

Total circumference of circle now will be

360*0.5cm

= 180cm

However, if a 360° angle is equivalent to a circumference of 180 cm;

Then, an angle that subtends with 86 cm long will be:

=(86/180)*360

=172°.

Therefore, the measure of this angle is 172°

Given Question is incomplete complete question here

A circle is centered at the vertex of an angle, and the angle's rays subtend an arc that is 86 cm long. 1/360th of the circumference of the circle is 0.5 cm long. What is the measure of this angle in degrees?

To know more about circle and circumference here

https://brainly.com/question/11213974

#SPJ4

Answer:

11 & 13 or - 13 & - 11

Step-by-step explanation:

Let the integers are a - 1 and a + 1.

Sum of squares = 290

=> (a - 1)² + (a + 1)² = 290

=> a² + 1² - 2a + a² + 1² + 2a = 290

=> 2a² + 2 = 290

=> 2(a² + 1) = 290

=> a² + 1 = 290/2 = 145

=> a² = 145 - 1 = 144

=> a = ± √144 = ± 12

If a = + 12, numbers are

12 - 1 = 11 & 12 + 1 = 13

If a = - 12, numbers are

- 12- 1 = - 13 & - 12 + 1 = - 11

The impulse developed is\(= 250000*120=30000000 kg.m/s\)

\(\Delta X F\) is not equal to zero the force field \(F=(y^2Z^3-6xz^2) \^i + 2xyz^3 \^j +(3xy^2z^2-6x^2z)\^k\) is not conservative force field.

To find the impulse developed, we first need to find the change in momentum of the object. The initial velocity of the object is 540 \(km/hr\), which is equivalent to 150 m/s (since \(1 km/hr\) = \(1/3.6 m/s\)). The final velocity is 720 \(km/hr\), which is equivalent to 200 m/s.

The change in velocity\(\Delta v\) is the difference between the final velocity (\(v_f\)) and the initial velocity (\(v_i\)): \(\Delta v = v_f-v_i =200m/s-150m/s=50m/s\)

The mass of the object is given as 5000 kg.

The impulse (J) is defined as the product of the change in momentum (Δp) and the time (t): J = Δp × t

Now, we need to find the change in momentum (Δp). The change in momentum is given by the formula:

\(\Delta p=m*\Delta v\)

Substituting the given values:

\(\Delta p=5000*50 = 250000 kg.m/s\)

The time (t) is given as 2 minutes, which is equivalent to 120 seconds.

Finally, we can calculate the impulse (J):

\(J= \Delta p *t\)

= \(250000*120=30000000 kg.m/s\)

Therefore, the impulse developed in this time is 30,000,000 \(kg.m/s\)

Now, let's move on to proving that the force field \(F=(y^2Z^3-6xz^2) \^i + 2xyz^3 \^j +(3xy^2z^2-6x^2z)\^k\) is conservative.

A vector field F = (P, Q, R) is conservative if its curl is zero\((\Delta XF=0)\).

Let's calculate the curl of the given force field F:

\(\Delta X F = (\delta R/\delta y -\delta Q/\delta z)\^i + (\delta P/\delta z-\delta R/\delta x)\^j + (\delta Q/\delta x- \delta P/\delta y)\^k\)

Here,\(P=y^2z^3-6xz^2,\) \(Q=2xyz^3,\) and \(R=3xy^2z^2-6x^2z\)

Substituting these values into the curl equation:

\(\Delta XF = (3y^2z^2-12xz)\^i + (2xz^3-6xy^2z^2)\^j + (6xyz^2-6xy^2z+12xz)\^k\)

Since \(\Delta X F\) is not equal to zero, the force field F is not conservative.

Therefore, the force field \(F=(y^2Z^3-6xz^2) \^i + 2xyz^3 \^j +(3xy^2z^2-6x^2z)\^k\) is not conservative.

Learn more about curl here:

https://brainly.com/question/32516691

#SPJ11

By SAS similarity, ΔKML and ΔRTL are similar triangles. Therefore, option A is the correct answer.

From the given figure, KR=9 units, RL=15 units, MT=7.5 units and TL=12.5 units.

Two triangles are similar if the angles are the same size or the corresponding sides are in the same ratio. Either of these conditions will prove two triangles are similar.

Consider ΔKML and ΔRTL, we get

RL/KL =15/(15+9)

= 15/24

= 5/8

TL/ML =12.5/(12.5+7.5)

= 12.5/20

= 5/8

Here, RL/KL=TL/ML

Here, ∠KLM≅∠RLT

By SAS similarity, ΔKML and ΔRTL are similar triangles

So, ∠KMT≅∠RTL

By SAS similarity, ΔKML and ΔRTL are similar triangles. Therefore, option A is the correct answer.

To learn more about the similar triangles visit:

https://brainly.com/question/25882965.

#SPJ1

Answer:

a

Step-by-step explanation:

got it right in edmentum

The equation of Net income is:

Total Revenues – Total Expenses = Net Income

The basic formula for an income statement is:

Revenues – Expenses = Net Income. This simple equation shows whether the company is profitable. If revenues are greater than expenses, the business is profitable.

The net income formula is the difference between the total revenue generated and the total expenses generated in the process. The formulas for the net income are listed below:

1) Net Income = Total Revenue - Total Expenses

2) Net income = gross income -expenses

3) Net income = (revenue - the cost of goods sold) - expenses

Learn more about Income at:

https://brainly.com/question/14732695

#SPJ4

9514 1404 393

Answer:

  A)  44

Step-by-step explanation:

The sum of angle measures is 180°

  84 + (x+59) +(x +51) = 180

  2x +194 = 180 . . . simplify

  2x = -14 . . . . . . . . subtract 194

  x = -7 . . . . . . . . . . divide by 2

Angle A is ...

  x +51 = (-7) +51 = 44 . . . . degrees

∠A = 44°

Answer:

C y = 7x +19

Step-by-step explanation:

There are 19 gallons in the water tank and 7 gallons are added when you take x amount of minutes, which gives you y.

An example is 1 minute.

Y = 7(1) + 19

y = 7 + 19

y = 26

You have to remember that there are 19 gallons already in the tank and that 1 minute has passed, which means 7 gallons have been added. Thus there are 26 gallons in the water tank.

Hope this helps. :)

Answer:

I think the answer is A hopefully this helps

Answer:

\(-\frac{433}{2}\)

Step-by-step explanation:

Change: 2[-3(2*-1 + 3-8 + 42) - ½(20-10 - (-3))

To: 2[-3(2*-1 + 3-8 + 42) - ½(20-10+3)

Multiplication calculation: 2 * (-3 x 35) \(-\frac{1}{2}\) * 13

Multiply again: 2 * (-105) \(-\frac{13}{2}\)

Calculate: -210 \(-\frac{13}{2}\)

Answer: \(-\frac{433}{2}\)

I hope this help you! :D

Answer:

-238

Step-by-step explanation:

2(-3(2^-1+3-8+42)-1/2(20-10-(-3))=

2(-3(1/2+37)-1/2(10+3)=

2(-3(1/2+37)-1/2(13)=2(-3(75/2)-13/2)

=2(-225/2-13/2)

2(-238/2)= -238

Answer:

B

We know the circle is closed

Answer:

C.y=3

Step-by-step explanation:

u take the cube root of both sides

\( \sqrt[3]{ y} = \sqrt[3]{27} \)

y=3.

Answer:

600 ft³

Step-by-step explanation:

Base area: B

Base is triangle

base = 12 ft and height = 5 ft

Area of triangle = B = \(\frac{1}{2}* \ base * \ height\)

                                 \(= \frac{1}{2}*12 * 5\\\\= 6 * 5\\\\= 30 \ ft^{2}\)

H = 20 ft

Volume = B * H

             = 30 * 20

             = 600 ft³

The number of liters of leaves that Adam rakes will be 340.

The allocation of weights to the important variables that produce the calculation's optimum is referred to as a direct consequence.

Tapiwa raked 5%, percent more leaves than Adam raked. Tapiwa raked 357 liters of leaves.

Let the number of leaves that Adam raked be 'x' and the number of leaves that Tapiwa raked be 'y'. Then the equations are given as,

y = 1.05x          ...1

y = 357            ...2

From equations 1 and 2, then we have

1.05x = 357

x = 357 / 1.05

x = 340

The number of liters of leaves that Adam rakes will be 340.

More about the solution of the equation link is given below.

https://brainly.com/question/545403

#SPJ1

In order to compute the impulse response of the single filter that corresponds to the cascade of the two filters given above, we need to use the convolution sum.

This is because the output of the first filter is the input to the second filter and the overall output is the output of the second filter. The convolution sum for an LTI filter is given by y[n] = sum(i=0 to infinity){h[i] * x[n-i]}.This formula tells us that the output of a filter at time n is the weighted sum of all the input values and past outputs. The weights are given by the impulse response of the filter. For example, if the input is x[n] = {1,2,3} and the impulse response is h[n] = {1,1,1}, then the output is y[n] = {1,3,6,5}.

To find the impulse response of the cascade of the two filters given above, we need to convolve the impulse responses of the two individual filters. Since the first filter has length 3 and the second filter has length 2, the resulting filter will have length 4. We can compute the convolution sum as follows:h[n] = sum(i=0 to infinity){h1[i] * h2[n-i]}Note that the limits of the summation are not the same as for the convolution of two sequences.

This is because we are summing over the impulse response of one filter and indexing the other filter with a variable. The result is a sequence that tells us the response of the cascade to an impulse. The values of h[n] can be computed as follows:n = 0: h[0] = h1[0] * h2[0] = 1 * 2 = 2n = 1: h[1] = h1[0] * h2[1] + h1[1] * h2[0] = 1 * 1 + 0 * 2 = 1n = 2: h[2] = h1[0] * h2[2] + h1[1] * h2[1] + h1[2] * h2[0] = 2 * 1 + 1 * 2 = 4n = 3: h[3] = h1[1] * h2[2] + h1[2] * h2[1] = 0 * 1 + 2 * 2 = 4The impulse response of the cascade of the two filters is h[n] = {2, 1, 4, 4}.

This sequence tells us the response of the cascade to any input sequence. For example, if the input sequence is x[n] = {1,2,3,4}, then the output sequence is y[n] = {2, 4, 14, 24, 28}. This is obtained by convolving x[n] with h[n]. Note that the output sequence has length 5 because the impulse response has length 4 and the input sequence has length 4.

To know more about impulse response visit:

brainly.com/question/24600056

#SPJ11