Mark bakes 73 cookies for the bake sale. Ann bakes 242 cookies. How many cookies did they bake altogether?

Answer:

-1/3

Step-by-step explanation:

slope is rise over run so on this one you had to count down to -2 for the rise and count to 6 then simplify to make -1/3

The slope of the line will be equal to 1 / 3. The correct option is D.

Slope or the gradient is the number or the ratio which determines the direction or the steepness of the line. The slope of the line is the ratio of the rise to the run.

The formula to calculate the slope of the line is,

Slope = ( y₂ - y₁ ) / ( x₂ - x₁ )

The given coordinates of the point passing through the line are (-3,4) and (3,2).

The slope of the line will be calculated as,

Slope = ( y₂ - y₁ ) / ( x₂ - x₁ )

Slope = ( 4- 2 ) / ( 3 + 3 )

Slope = 2 / 6

Slope = 1 / 3

Therefore, the slope of the line will be equal to 1 / 3. The correct option is D.

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Answer:

100 Times larger.

Step-by-step explanation:

4500000/45000=100

The domain is the set of possible input values, and the domain of a graph consists of all the input values that are shown on the x-axis. On the other hand, the range is the set of possible output values, that are shown on the y-axis

It should be noted that the information I s incomplete. Therefore, an overview will be given. The domain of a function f(x) means the set of all values for which the function will be defined, and the range of the function will be the set of all values that f takes.

In this case, let there be an X set and a Y set. The ordered pair (x,y) is the relation in x and y and the first element in an ordered pair is the domain, while the set of second elements is the range of the relation.

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Answer:

Step-by-step explanation:

Answer: 196 miles

Step-by-step explanation: speed = 56 = distance / time

time = 3.5 hours

distance = speed x time = 56 x 3.5 = 196 miles

Answer:

196 miles

Step-by-step explanation:

If it drove for 56 miles per hour and rod for 3 1/2 hours the if we multiply 56 by 3 we have 168 miles and 1/2 of 56 is 28.

So the bus drove 196 miles

Answer:

x = 48°

Step-by-step explanation:

The sum of the 3 angles in a triangle = 180°

Subtract the sum of the 2 angles from 180 for x

x = 180° - (47 + 85)° = 180° - 132° = 48°

Rn = 162 and L_n = 114.

Given the function f(x) = x^2 + 4x + 1 and the interval [2,6] with n=4 rectangles.

We are required to estimate the area using the right endpoint and left endpoint.

In the right endpoint method, we take the value of f(x) at the right endpoint of each rectangle as the height of the rectangle and in the left endpoint method, we take the value of f(x) at the left endpoint of each rectangle as the height of the rectangle.

Using four rectangles with the right endpoint, the width of each rectangle is given by:(6-2)/4=1

The height of each rectangle is given by the function evaluated at the right endpoint of each rectangle.

Thus we have:

f(3) = 3^2 + 4(3) + 1 = 22f(4) = 4^2 + 4(4) + 1 = 33f(5) = 5^2 + 4(5) + 1 = 46f(6) = 6^2 + 4(6) + 1 = 61

Using the right endpoint method, the estimate of the area under the curve is given by the sum of the areas of all the rectangles, which is given by:Rn= f(3) * 1 + f(4) * 1 + f(5) * 1 + f(6) * 1Rn = 22 + 33 + 46 + 61 = 162

Similarly, using the left endpoint method, we have:

f(2) = 2^2 + 4(2) + 1 = 13f(3) = 3^2 + 4(3) + 1 = 22f(4) = 4^2 + 4(4) + 1 = 33f(5) = 5^2 + 4(5) + 1 = 46

Using the left endpoint method, the estimate of the area under the curve is given by:

L_n= f(2) * 1 + f(3) * 1 + f(4) * 1 + f(5) * 1L_n = 13 + 22 + 33 + 46 = 114

Therefore, Rn = 162 and L_n = 114.

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Answer:

Step-by-step explanation:

6g + 4a = 7a

⇔ 6g = 7a - 4a

⇔ 6g = 3a

Divide both side by 6a

⇒ \(\frac{6g}{6a} = \frac{3a}{6a}\) ⇔ \(\frac{g}{a} = \frac{1}{2}\)

I hope this will help you.

A. CDs are more popular among middle school students than high school students.

B. Of the students surveyed, more students use streaming than CDs.

C. Streaming is more popular among high school students than middle school students.

The statements that are true about results in the two-way frequency table is determined as follows;

Statement A:

"CDs are more popular among middle school students than high school students".

Percent of high school = 14/31 = 0.452 = 45.2%

Percent of middle school = 26/57 = 0.456 = 45.6%

This statement is true.

Statement B:

"Of the students surveyed, more students use streaming than CDs".

total number of CD users = 40

total number streaming = 48

This statement is true

Statement C:

"Streaming is more popular among high school students than middle school students."

Percent high school streaming = 17/31 = 0.548 = 54.8%

Percent middle school streaming = 31/57 = 0.544 = 54.4%

This statement is true.

Statement D:

"Of the students surveyed, there are more than twice as many middle school students who use streaming than high school students."

number of middle school streaming = 31

number of high school streaming = 17

17 x 2 = 34

This statement is false, the middle school student using streaming are not up to twice the number of high school students using streaming.

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The cost of each printer is $568.

To find the cost of each printer, we need to use a system of equations.

Let's call the cost of each printer "p" and the cost of each camera "c".

The first equation we can create is: 6p + 3c = 4773

The second equation we can create is: 4p + 6c = 5002

Now we can use the elimination method to solve for one of the variables.

Let's eliminate the "c" variable by multiplying the first equation by -2: -12p - 6c = -9546

And then add the two equations together: -8p = -4544

Now we can solve for "p" by dividing both sides by -8: p = 568

So the cost of each printer is $568.

To find the cost of each camera, we can plug the value of "p" back into one of the original equations and solve for "c":

6(568) + 3c = 4773

3408 + 3c = 4773

3c = 1365

c = 455

So the cost of each camera is $455.

Therefore, the cost of each printer is $568 and the cost of each camera is $455.

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a) Demand function: Qd = 30,000 - 100P, Supply function: Qs = -P b) Equilibrium price: $303.03, Equilibrium quantity: 27,697 vehicles. c) New equilibrium price: $333.33, New equilibrium quantity: 24,000 vehicles. d) Excess demand of 417 vehicles. e) New equilibrium price: $250, New equilibrium quantity: 24,750 vehicles.

a) The demand function for the bridge usage can be written as:

Qd = 30,000 - 100P

Where Qd represents the quantity demanded (number of vehicles crossing the bridge) and P represents the toll price.

The supply function for the bridge usage can be written as:

Qs = -P

Where Qs represents the quantity supplied (number of vehicles allowed to use the bridge by the city) and P represents the toll price.

b) To find the equilibrium price and quantity, we set the quantity demanded equal to the quantity supplied:

30,000 - 100P = -P

Simplifying the equation, we get:

30,000 = 99P

P = 303.03

Substituting the value of P back into either the demand or supply function, we find:

Qd = 30,000 - 100(303.03)

Qd = 27,697

Therefore, the equilibrium price is $303.03 and the equilibrium quantity is 27,697 vehicles.

c) If the demand for the bridge usage decreases by 10%, the new demand function becomes:

Qd = 0.9(30,000 - 100P)

Setting the new demand equal to the supply function:

0.9(30,000 - 100P) = -P

Solving the equation, we find:

P = 333.33

Substituting the value of P back into the demand or supply function, we get:

Qd = 0.9(30,000 - 100(333.33))

Qd = 24,000

Therefore, the new equilibrium price is $333.33 and the new equilibrium quantity is 24,000 vehicles.

d) With a toll charge of $100, we use the demand function from part c) and the original supply function:

0.9(30,000 - 100P) = -100

Solving the equation, we find:

P = 305.56

Substituting the value of P back into the demand or supply function, we get:

Qd = 0.9(30,000 - 100(305.56))

Qd = 24,417

Since the quantity demanded is greater than the quantity supplied, there is an excess demand of 24,417 - 24,000 = 417 vehicles.

e) If the supply of the bridge usage decreases by half, the new supply function becomes:

Qs = -0.5P

Setting the new supply equal to the demand function from part c):

0.9(30,000 - 100P) = -0.5P

Solving the equation, we find:

P = 250

Substituting the value of P back into the demand or supply function, we get:

Qd = 0.9(30,000 - 100(250))

Qd = 24,750

Therefore, the new equilibrium price is $250 and the new equilibrium quantity is 24,750 vehicles.

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Answer:

  3 : 4 ratio of radii

  9 : 16 ratio of areas

Step-by-step explanation:

The ratio of radii is the same as the ratio of diameters:

  one : the other = 6 :8 = 3 : 4

__

The ratio of areas is the square of the ratio of radii:

  one : the other = 3² : 4² = 9 : 16

Answer:

Explanation:

According to the factor theorem, if we set x+1 to zero, the substitute the x value into the polynomial, if we get a value of zero, then x+1 is a factor of the polynomial, otherwise, it is not

We start by setting x+1 to zero:

Substitute -1 into the polynomial:

This shows that (x+1) is a factor of the polynomial

SRRC is a pulse shaping filter used in digital communications to minimize intersymbol interference and improve the signal-to-noise ratio.

The square root raised cosine (SRRC) is a famous heartbeat molding channel utilized in computerized correspondences, especially in applications like advanced tweak and demodulation. It is intended to limit intersymbol obstruction (ISI) by restricting the data transmission of the sent sign while keeping a consistent envelope.

The SRRC channel is described by a reaction that is like the raised cosine channel, yet with a square root capability applied to the recurrence reaction. This outcomes in a smoother change between the passband and stopband, which assists with decreasing ISI and work on the sign to-clamor proportion.

The SRRC channel is usually utilized in correspondence frameworks that utilization quadrature sufficiency regulation (QAM) or stage shift keying (PSK) tweak plans, as it gives great ghastly control and heartbeat molding properties that are appropriate to these kinds of signs.

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372₁₀ = 2442₅

372 : 5 = 74 r 2

74 : 5 = 14 r 4

14 : 5 = 2 r 4

2 : 5 = 0 r 2 ↑

write down the remainders in the reverse order

372₁₀ = 2442₅

Answer:

x = 90

Step-by-step explanation:

Here 60 is angle B, 30 is Angle a, B is The third angle of the triangle, and x is the exterior angle measurement!

60 + 30 + b= 180

a + x = 180

60 + 30 + b= 180

90 + b = 180

b = 90

90 + x = 180

x = 90

exterior angle  equal to the sum of its two opposite non-adjacent interior angles.

Answer:

False

Step-by-step explanation:

Is the following statement true or false?

The intersection of a plane and a ray can be a line segment.

The best estimate of the proportion of all women at this university who have a body temperature more than 2 standard deviations above the mean is 2.28%.

Since the sample is normally distributed and has a mean μ = 98.52 F and a standard deviation, σ = 0.727 F and we need to find the percentage of all womenat this university who have a body temperature more than 2 standards deviations above the mean.

Since the sample is normally distributed, 50% of the sample is below the mean. We have 34% of the sample at 1 standard deviation away from the mean and 47¹/₂% at 2 standard deviations above the mean.

So, the percentage below 2 standard deviations from the mean is 50% + 47¹/₂% = 97¹/₂%.

So, the percentage above 2 standard deviations from the mean is 100% - 97¹/₂% = 2¹/₂% = 2.5 %

Since 2.28 % is the closest to 2.5 % from the options, the best estimate is 2.28 %.

So, the best estimate of the proportion of all women at this university who have a body temperature more than 2 standard deviations above the mean is 2.28%.

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That a full cut round brilliant diamond with a 6.50 mm girdle diameter typically weighs around 1.00 carat.

carat weight is determined by a combination of a diamond's size and density. A diamond's size is measured by its diameter, which is the distance across the widest part of the diamond, known as the girdle. Therefore, a diamond with a larger girdle diameter will generally weigh more than a diamond with a smaller diameter, assuming all other factors are equal.

the weight of a diamond can be estimated based on its girdle diameter, and a full-cut round brilliant diamond with a 6.50 mm girdle diameter typically weighs around 1.00 carat. However, it's important to note that other factors, such as depth, cut, and clarity, can also affect a diamond's weight and value.

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Answer:

D.(2,1)

Step-by-step explanation:

All I did was solve by substitution.

Answer:

D

Step-by-step explanation:

Given the 2 equations

y = 6x - 11 → (1)

- 2x - 3y = - 7 → (2)

Substitute y = 6x - 11 into (2)

- 2x - 3(6x - 11) = - 7 ← distribute and simplify left side

- 2x - 18x + 33 = - 7

- 20x + 33 = - 7 ( subtract 33 from both sides )

- 20x = - 40 ( divide both sides by - 20 )

x = 2

Substitute x = 2 into (1) for corresponding value of y

y = 6(2) - 11 = 12 - 11 = 1

solution is (2, 1 ) → D

Answer:

249 feet

Step-by-step explanation:

Hello!

Let the missing side be x.

We can use a trigonometric ratio to solve this question. The one we are going to use is Tangent.

There are 3 trigonometric ratios: Sin (Opposite/Hypotenuse), Cos (adjacent/hypotenuse), and Tan(Opposite/Adjacent).

We need to use the ratio that involves the 2 sides, 144 and x. That would be Tan, as x is opposite to 60°, and 144 is adjacent to 60°.

The missing side is 249 feet.

Answer:1442.41086

Step-by-step explanation:

So first it would continue 3% higher so not 18% higher

first 3% higher 1200

So 1236

Then 3% of 1236

so 1273.08

The 3% of that to 1311.2724

The 3% of that to 1350.61057

The 3% of that to 1400.39889

The 3% of that to 1442.41086

Answer:

1251

Step-by-step explanation:

Use the formula for calculating compound interest A=P0ert where A is the unknown, P0=1200, r=0.014, and t=3. Substitute the values into the formula and simplify.

A=1200e0.014⋅3

A=1200e0.042

A=1200(1.0428...)

A=1251.47

Therefore, after three years, the balance in the account is A≈1251.

Answer:

5 hours 38 minutes

Step-by-step explanation:

Let's call Hannah H, and Destiny D.

9H = 1 (think of 1 as 100% of the job done). call this equation '1'.

15D = 1      call this '2'

multiply '1' by 5:

45H = 5

multiply '2' by 3:

45D = 3

add both up:

45H + 45D = 5 + 3

45H + 45D = 8

45(H + D) = 8.

H + D is Hannah and Destiny working together. we want to make the right side of equation 1.

divide both sides by 8:

(45/8) (H + D) = 1

so it will take both of them 45/8 ≈ 5 hours 38 minutes to paint it together

Answer:

you doing this for miss patino too huhStep-by-step explanation:

To find the lateral area of a pentagonal pyramid, you need to calculate the sum of the areas of the five triangular faces that make up the sides of the pyramid.

The formula for the lateral area of any pyramid is given by L = (1/2)Pl, where P represents the perimeter of the base and l represents the slant height of each triangular face.

In the case of a pentagonal pyramid, the base is a pentagon, which means it has five sides. To calculate the perimeter of the base, you can add the lengths of all five sides. Once you have the perimeter, you need to find the slant height, which is the distance from the apex (top) of the pyramid to the midpoint of any side of the base triangle.

Once you have the perimeter and slant height, you can substitute these values into the formula L = (1/2)Pl to calculate the lateral area of the pentagonal pyramid.

It's important to note that the lateral area only considers the surface area of the sides of the pyramid, excluding the base. If you want to find the total surface area, you need to add the area of the base as well.

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The correct option is  B) increase.

To decrease sample error, a pollster must increase the number of respondents. The larger the sample size, the more representative it is likely to be of the target population, leading to a lower margin of error.

When conducting surveys or polls, it is essential to obtain responses from a diverse and random group of individuals. By increasing the number of respondents, the pollster can capture a broader range of perspectives, which helps to reduce sampling bias and increase the accuracy of the results.

For example, let's say a pollster wants to understand the political preferences of voters in a particular city. If they only survey 50 people, the sample may not accurately reflect the larger population, and the margin of error could be high. However, if they survey 500 or even 1000 people, the results are more likely to provide a reliable estimate of the overall population's preferences.

Therefore, to decrease sample error, pollsters should increase the number of respondents in their surveys or polls. This approach helps to ensure a more accurate representation of the population's views and minimize the potential for misleading or biased results.

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Answer:

c

Step-by-step explanation:

all companys are under 300k and applys to all 5

The steps to evaluate an exponential expression include:

First, you need to identify the base which is the number being raised to a power, and the exponent is the power to which the base is being raised. Then replace this base with the value that is needed to be used.

Use this exponent such that you can find out the number of times the base will multiply itself and then do the multiplication and simplify the expression.

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