1. Vanessa was buying DVDs of her old favorite TV series. She bought eight DVDs at the store and she bought seven online. How many DVDs did she buy total? Answer: 8 + 7

2. A mailman has to give twenty-eight pieces of junk mail to each block. If there are four houses on a block how many pieces of junk mail should he give each house?​

Answer:

y=2x+4   I HOPE THIS HELPS YA

Step-by-step explanation:

m=2

To find an equation that is parallel, the slopes must be equal. Find the parallel line using the point-slope formula.

Use the slope 2

and a given point (−1,2) to substitute for x1 and y1 in the point-slope form y−y1=m(x−x1), which is derived from the slope equation m=y2−y1x2−x1

.

y−(2)=2⋅(x−(−1))

Simplify the equation and keep it in point-slope form.

y−2=2⋅(x+1)

Solve for y

y=2x+4.

Therefore, the above sides  and angles will be the corresponding angles and sides of a similar triangle.

Triangle congruence: Two triangles are said to be congruent if all three of their corresponding sides and all three of their corresponding angles have the same measurements. These triangles can be moved around, rotated, flipped, and turned to have an identical appearance.

Here,

In the event that "CAT"

As per SSS guideline, we receive

CA=DO

AT=OG

CT=DG

The congruent triangles' corresponding angles will also be:

∠CAT = ∠DOG

∠ATC = ∠OGD

∠ACT = ∠ODG

Two triangles are similar if they are congruent with one another.

if ∆CAT≅∆DOG

Next,∆CAT~∆DOG

As a result, the angles and sides of the triangle with the same sides as those above will be the same.

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Answer:

Bottle B has a larger volume of lotion therefore the correct answer

Step-by-step explanation:

1×2×6=12/3=4 Bottle A

1.5×3×4=18/3=6 Bottle B

Answer:

Bottle B contains 6 in3 of lotion, and Bottle A contains 4 in3. Bottle B contains more.

Step-by-step explanation:

pf

The given equation y = -0.114x + 1.658 represents a linear model that relates the depth (x) of a major river to its velocity (y).

The slope of the equation, -0.114, indicates the rate at which the velocity of the river changes with respect to the depth. The intercept, 1.658, represents the velocity of the river when the depth is zero.

The correlation coefficient, 0.964, indicates the strength and direction of the relationship between the depth and velocity of the river. It signifies a strong positive correlation, meaning that as the depth increases, the velocity of the river tends to decrease. The closer the correlation coefficient is to 1, the stronger the linear relationship between the variables. In this case, the correlation coefficient of 0.964 suggests a significant relationship between the depth and velocity of the river, indicating that the linear model is a good fit for the data.

Part A: The slope of the equation, -0.114, represents the rate of change in the velocity of the river with respect to the depth. For every increase of 1 foot in depth, the velocity decreases by 0.114 feet per second. This implies that as the depth of the river increases, the velocity tends to decrease at a certain rate.

The intercept of the equation, 1.658, represents the velocity of the river when the depth is zero. In this context, it means that when the river has no depth (such as at the surface or a shallow area), the velocity is 1.658 feet per second.

Part B: The correlation coefficient, 0.964, indicates the strength and direction of the relationship between the depth and velocity of the river. A correlation coefficient of 0.964 suggests a strong positive correlation, meaning that as the depth of the river increases, the velocity tends to decrease. The closer the correlation coefficient is to 1, the stronger the linear relationship between the variables. In this case, the high correlation coefficient of 0.964 suggests that the depth and velocity of the river are strongly related, and the linear model provides a good approximation for the data collected.

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Answer:

y int= 12.50

slope= 2.00

equation= y=2x+12.5

Step-by-step explanation:

the y intercept in this case is the cost when you've watched 0 movies- its the initial price you pay, or the y value when the x value is equal to 0

the slope is the cost of each movie, or the increment by which the y values goes up when the x value goes up by 1 in this case. (for example the slope would be 5 if the movie price were 5 for each one movie)

y=mx+b is the equation for a linear equation, where m is the slope and b is the y intercept.

Manipulating temperature in a room to study its impact on task performance involves categorizing the various temperature conditions as the "levels" of the variable.

In experimental research, when investigating the influence of temperature on task performance, researchers manipulate and control the temperature to create different conditions or levels. These temperature levels serve as the independent variable in the study. By systematically altering the temperature, researchers can observe and analyze how variations in temperature affect participants' performance on the given tasks. This experimental design allows researchers to identify patterns, trends, and potential causal relationships between temperature and task performance. Understanding the different temperature conditions or levels in such studies helps researchers learn about the nuanced impact of temperature on human performance and potentially inform practical applications in various settings, such as optimizing work environments or designing effective learning spaces.

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Answer:

1. 6 x 16 = 96

2. 10 + 4 x 22 = 10 + 88 = 98

3. 7 x 23 = 161

Step-by-step explanation:

Answer:

C. 500x + 0.6 = 600x + 0.5

Step-by-step explanation:

The temperature of the steam is 441.7 K.

A 1-m³ tank contains 2.1085 kg of steam at 0.6 MPa.

The gas constant, critical pressure, and critical temperature of steam are

R = 0.4615 kPa.m³/kg.K,

TCr = 647.1 K, and

PCr = 22.06 MPa.

Using data from the steam tables, let's find the temperature of the steam.

According to the steam table, the specific volume of the steam is 0.194 m³/kg at 0.6 MPa and 393.71 K. Since 1 m³ tank contains 2.1085 kg of steam, the total volume of steam is:

V = m/v

= (2.1085 kg)/(0.194 m³/kg)

= 10.8665 m³

The ideal gas equation of state is:

Pv = mRTor

T = PV/mR

Substituting the values we get:

T = (0.6 MPa)(10.8665 m³)/(2.1085 kg)(0.4615 kPa.m³/kg.K)

T = 441.7 K

Therefore, the temperature of the steam is 441.7 K.

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The following is the expected value of a number of books a student buys at the next book fair is 2.404 books.

The random variable b's expected value is then calculated as follows:

E(X) = 1 x 0.285 + 2 x 0.333 + 3 x 0.168 + 4 x 0.136 + 5 x 0.063 + 6 x 0.015 E(X)  = 2.404 books.

Thus, the expected value of discrete probability distribution is 2.404 books.

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The graph for the question is attached.

20.2% of trainees at the local mill earn less than 880.0 dollars a month.

The incomes of trainees at the local mill are normally distributed with a mean of 1210.0 dollars and a standard deviation of 140.0 dollars. This means that the distribution of incomes follows a normal curve, with most trainees earning close to the mean income of 1210.0 dollars, and fewer trainees earning significantly more or less than the mean.

To find the percentage of trainees earning less than 880.0 dollars a month, we can use the standard normal distribution table (also known as the z-table) to find the proportion of the distribution that is less than 880.0 dollars.

First, we need to convert the income of 880.0 dollars to standard units by subtracting the mean income and dividing by the standard deviation. This gives us (880.0 - 1210.0) / 140.0 = -1.29.

Next, we can look up the proportion of the standard normal distribution that is less than -1.29 on the z-table. This value is approximately 0.202, which means that approximately 20.2% of trainees at the local mill earn less than 880.0 dollars a month.

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The expression for arctan(4/3) in terms of π is a tan(4/3) / π.

To express arc tan(4/3) in terms of π, we can use the relationship between the trigonometric functions and the unit circle.

The tangent function (tan) is defined as the ratio of the length of the side opposite an angle to the length of the adjacent side in a right triangle. The inverse tangent function, arctan, gives the angle whose tangent is a given value.

In this case, arctan(4/3) represents the angle whose tangent is 4/3. To express this angle in terms of π, we can consider the unit circle.

For arctan(4/3), we can construct a right triangle in the unit circle with the opposite side equal to 4 and the adjacent side equal to 3.

Using the Pythagorean theorem, we can calculate the length of the hypotenuse:

hypotenuse² = opposite² + adjacent²

hypotenuse² = 4² + 3²

hypotenuse²= 16 + 9

hypotenuse²= 25

hypotenuse = 5

Now, let's denote the angle whose tangent is 4/3 as θ. In the right triangle we constructed, the sine of the angle θ is given by opposite/hypotenuse, which is 4/5, and the cosine of the angle θ is given by adjacent/hypotenuse, which is 3/5.

Since the sine is positive and the cosine is positive in the first quadrant of the unit circle, we can conclude that arctan(4/3) corresponds to an angle in the first quadrant.

Therefore, arctan(4/3) can be expressed as:

arctan(4/3) = θ

Since θ corresponds to an angle in the first quadrant, we can write:

arctan(4/3) = θ = tan(4/3)

Note that a tan(4/3) is an angle measure in radians. To express it in terms of π, we need to divide atan(4/3) by π:

arctan(4/3) = θ = tan(4/3) / π

So, the expression for arctan(4/3) in terms of π is a tan(4/3) / π.

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The correct option is - B. 2 and 11 , are the value of x that will make the polynomial equal to zero for the factors of (x-2) and (x-11).

Several algebraic expressions must be factored in order to be simplified, and factoring is a helpful tool in the solution of higher degree problems. In truth, factoring is a step in algebra that must be understood in order to move on to the next level of difficulty.

For the given polynomial, if (x-2) and (x-11) are the factors of polynomial such that polynomial becomes zero.

Thus, (x-2) and (x-11) are called the zeros of the polynomial.

Then,

x-2 = 0

x = 2

and,

x - 11 = 0

x = 11

Therefore, the correct option is - B. 2 and 11 , are the value of x that will make the polynomial equal to zero for the factors of (x-2) and (x-11).

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Weight of each type of box:

Weight of each big box = 18.75 kg

Weight of each small box = 13.75 kg

The relationship between two terms on either side of a letter is represented by a mathematical formula. Often there is a variable and an equals sign.

The definition of an equation in algebra is a formula that shows the equivalence of two mathematical terms. For example, in the expression 6x + 11 = 14 the two terms 6x + 11 and 14 are separated by the "equals" symbol.

To let

Weight of each big box = x

And the weight of each small box = y

Weight of 3 big boxes:

3 times

5 small box weights:

5 years

3x + 5y = 125 .......................(i)

resemble:

9x + 7y = 265 ......................(ii)

Equation (i) multiplied by -3:

-3 (3x + 5y) = 125 * (-3)

-9x - 15y = -375 ...................(iii)

Under (ii) and (iii):

9x + 7y = 265

-9x - 15y = -375

Adding this gives:

-8y = -110

or y = 110/8

or y = 55/4

y = 13.75

From equation (i), we have:

3x + 5y = 125

or 3x + 5(13.75) = 125

or 3x + 68.75 = 125

3x = 125 - 68.75

3x = 56.25

x = 56.25/3

x = 18.75

Each large box weighs:

18.75 kilograms

Weight of each small box:

13.75 kilograms

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Answer:

7y2 + 8xy - 3

Step-by-step explanation:

7y2 + 6xy + 2xy -3  You distribute the - sign through the second binomial.  You are distributing or multiplying (-2xy -3) by -1  Combine like terms

7y2 + 8xy -3

Answer:

What is the difference of the two polynomials?

(7y2 + 6xy) – (–2xy + 3)

7y2 + 4xy – 3

7y2 + 8xy – 3 Correct

7y2 + 4xy + 3

7y2 + 8xy + 3

Step-by-step explanation:

The addition of the polynomial \(x^{3}+3xy-2xy^{2} +y^{3}\) with \(2x^{3}-5x^{2} y-3xy^{2}-2y^{3}\) is  \(3x^{3}+3xy-5x^{2} y-5xy^{2}-y^{3}\).

What is a polynomial?

⇒ A polynomial is an expression consisting of indeterminates and coefficients, that involves only the operations of addition, subtraction, multiplication, and non-negative integer exponentiation of variables.

⇒ In the addition of polynomials, the like terms are added while in subtraction, the like terms are subtracted.

Calculation;

We have been given two polynomial which we have to add   \(x^{3}+3xy-2xy^{2} +y^{3}\) and \(2x^{3}-5x^{2} y-3xy^{2}-2y^{3}\)

The sign after addition or subtraction will always be of the variable having more value.

\((x^{3}+3xy-2xy^{2} +y^{3} )+(2x^{3}-5x^{2} y-3xy^{2}-2y^{3})\)

On adding like terms with each other

⇒ \((x^{3} +2x^{3})+ 3xy-5x^{2} y-(2xy^{2}+3xy^{2})+(y^{3}-2x^{3})\)

⇒ \(3x^{3}+3xy-5x^{2} y-5xy^{2}-y^{3}\)

Hence the addition of the polynomial\(x^{3}+3xy-2xy^{2} +y^{3}\) and \(2x^{3}-5x^{2} y-3xy^{2}-2y^{3}\) is \(3x^{3}+3xy-5x^{2} y-5xy^{2}-y^{3}\).

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Answer:

700

Step-by-step explanation:

37x10 is 370

33x10 is 330

330 add 370 is 700

Answer:

They sold 700 oranges

Step-by-step explanation:

the question is why didn't you just multiply it mate it wasn't brainy worthy tbh, not judging but just multiply each number by ten and then add them up

The volume of the given ice cream cone is -32π. Given: Solid shaped like an ice cream cone that is bounded by the functions √z=x²+y² and √z=32−x²−y². To find: An integral in polar coordinates to find the volume of this ice cream cone.

Given that z = x² + y² ..... (1)

z = 32 - x² - y² ..... (2)

Putting (1) and (2), we get;

32 - x² - y² = x² + y²

⟹ 2y² + 2x² = 32

⟹ x² + y² = 16 ...........(3)

Now, in polar coordinates, x = rcosθ and y = rsinθ and (3) becomes:

r²cos²θ + r²sin²θ = 16

⟹ r² = 16

Therefore, the bounds are from 0 to 4.

The volume of the solid can be given as: V = ∫∫R f(r, θ) rdr dθ Where, f(r, θ) is the function of r and θ that represents the height of the solid at the point r, θ. Here, the height of the cone can be given as: f(r, θ) = 32 - r² (from equation (2))

So, we have:

V = ∫₀²π ∫₀⁴ (32 - r²) r dr dθV

= 32 ∫₀²π ∫₀⁴ r dr dθ - ∫₀²π ∫₀⁴ r³ dr dθ

Now, evaluating the integral: ∫₀²π ∫₀⁴ r dr dθ

= ∫₀²π [r²/2]₀⁴ dθ

= ∫₀²π 8 dθ

= 16π∫₀²π ∫₀⁴ r³ dr dθ

= ∫₀²π [r⁴/4]₀⁴ dθ

= ∫₀²π 64 dθ

= 64π

So, the total volume of the ice cream cone will be given as :V = 32π - 64π

= -32π

Therefore, the volume of the given ice cream cone is -32π.

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Step-by-step explanation:

To dilate the figure by a factor of 2, I will multiply the x and y-value of each point by 2. I plotted all the new points to find the new triangle. To dilate the figure by a factor of 2, I will multiply the x-value of each point by 2.

Answer:

The answer for this question ( ur exit ticket ) is C .

Answer:

C

Step-by-step explanation:

  We're told that for Sylvia to make a pink paint, he needs to mix 7 cups of white paint to every 3 cups of white paint.

Looking at the options , the correct one is C because it shows that the number of pink paints made.

For instance, if we're to make 1 pink paint , we'll need 7 of white paint and  3 cups of red paint.

If we're to make 2 pink paints, we'll need 14 cups of white paint and 6 cups of red paint

if we're to make 3 pink paints, we'll need 21 cups of white paint and 9 cups of red paint and so forth

PLEASE MARK ME AS BRAINLIEST

The following is how to determine a worker's percentile score if their completion time is 0.4 standard deviations above the mean. To determine a worker's percentile score, we will use the standard normal distribution table.

The formula for converting an X-value into a Z-score is: X - μ / σ = Z Where: X is the observed value of a variable.μ is the mean of the variable.σ is the standard deviation of the variable. Z is the z-score. To calculate the z-score, we'll use the formula: X - μ / σ = 0.4 standard deviations above the mean Z = (X - μ) / σ = 0.4 .The percentile score of the worker is the proportion of the standard normal distribution below this z-score. Using the standard normal distribution table, we can find the proportion that corresponds to the z-score of 0.4. We look for the value in the table that is closest to 0.4 and locate the proportion in the z-score column. For the value of 0.4, we get 0.6554.The percentile score of the worker is 0.6554 or 65.54 percent. We used the standard normal distribution table to calculate a worker's percentile score. The first step was to convert the observed value of a variable to a z-score using the formula: X - μ / σ = Z  .The worker's completion time was 0.4 standard deviations above the mean. This means that the worker's completion time is greater than the mean by 0.4 times the standard deviation. Using the formula above, we can calculate the z-score. The standard deviation for the worker's completion time was not given, so we used the standard deviation of the distribution. We were not given the mean, so we could not calculate the z-score directly. Instead, we calculated the z-score as follows: Z = (X - μ) / σ = 0.4.  We can use this equation to find the worker's completion time if we know the mean and standard deviation. The standard normal distribution table was used to calculate the worker's percentile score. We looked up the value that was closest to 0.4 in the z-score column. The proportion in the table that corresponds to a z-score of 0.4 is 0.6554 or 65.54%.The percentile score of the worker is 65.54%.The worker's percentile score was 65.54%. A percentile score is the proportion of a distribution that is below a certain point. We used the standard normal distribution table to calculate the proportion that corresponds to the worker's z-score of 0.4.

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Answer:

H=Hyperbola

L=line

C=circle

P=Parabola

First letter is top one:

HL=0, 1, 2

LP=0, 1, 2

LC=0, 1, 2

LH=0, 1, 2

PP=0, 1, 2, INFINTELY MANY

PC=0, 1, 2,

PH=0, 1, 2, 3

CP=0, 1, 2

CC= 0, 1, 2, INFINITELY MANY

CH=0, 1, 2, 3, 4

HP=0, 1, 2, 3

HC=0, 1, 2, 3, 4

HH=0, 1, 2, 3, 4, infinitely many

Answer:

Step-by-step explanation:

Answer:

\(x=0,\:x=-2,\:x=2\)

Step-by-step explanation:

Do you want me to explain it?

John needs to make an annual beginning-of-the-year payment of approximately $369,238.68 to fund the estimated college costs of $196,000 in 10 years, given the after-tax rate of return of 8.65% compounded annually.

To compute the annual beginning-of-the-year payment necessary to fund the estimated college costs, we can use the present value of an annuity formula.

The present value of an annuity formula is given by:

P = A * [(1 - (1 + r)^(-n)) / r],

where P is the present value, A is the annual payment, r is the interest rate per period, and n is the number of periods.

In this case, John wants to accumulate $196,000 in 10 years, and the interest rate he can earn is 8.65% compounded annually. Therefore, we can substitute the given values into the formula and solve for A:

196,000 = A * [(1 - (1 + 0.0865)^(-10)) / 0.0865].

Simplifying the expression inside the brackets:

196,000 = A * (1 - 0.469091).

196,000 = A * 0.530909.

Dividing both sides by 0.530909:

A = 196,000 / 0.530909.

A ≈ 369,238.68.

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Answer:

its to blurry

Step-by-step explanation: