Middle school Math!!!

The second question is multiple choice.

1.) Describe how the graph of y=2x is the same AND different from the graph of y=2x-7. EXPLAIN. ?



2. Use the photo for this question! This is a multiple choice question.

What is the equation for the line below (the photo)

Y = 1x + 2

Y = 2x + 1

Y=2x

Y = 1 -2

Answer:

33d

Step-by-step explanation:

33 is the total fish in each tank

d represent the number of tanks

To find the total fish we multiple 33 and d

33 x d = total fish

so 33d is the correct expression

Answer:

monyet lol

Step-by-step explanation:

a

B

C

C

C

C

C

C COk

The Values of (a+b)ab are undefined.

Given that, a = 3an and db = -2We need to find the values of (a+b)

Now, we have a = 3an... equation (1)Also, we have db = -2... equation (2)From equation (1), we get: n = 1/3... equation (3)Putting equation (3) in equation (1), we get: a = a/3a = 3... equation (4)Now, putting equation (4) in equation (1), we get: a = 3an... 3 = 3(1/3)n = 1

From equation (2), we have: db = -2=> d = -2/b... equation (5)Multiplying equation (1) and equation (2), we get: a*db = 3an * -2=> ab = -6n... equation (6)Putting values of n and a in equation (6), we get: ab = -6*1=> ab = -6... equation (7)Now, we need to find the value of (a+b).For this, we add equations (1) and (5),

we get a + d = 3an - 2/b=> a + (-2/b) = 3a(1) - 2/b=> a - 3a + 2/b = -2/b=> -2a + 2/b = -2/b=> -2a = 0=> a = 0From equation (1), we have a = 3an=> 0 = 3(1/3)n=> n = 0

Therefore, from equation (5), we have:d = -2/b=> 0 = -2/b=> b = ∞Now, we know that (a+b)ab = (0+∞)(0*∞) = undefined

Therefore, the values of (a+b)ab are undefined.

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The number of individuals who took the quiz is D) 21.

To determine the total number of individuals who took the quiz (N), we need to sum up the frequencies (f) in the given frequency distribution. The frequency (f) represents the number of individuals who obtained each score.

Let's add up the frequencies:

6 + 5 + 5 + 3 + 2 = 21

The total frequency is 21, which means that 21 individuals took the quiz. Each score represents a certain number of individuals who obtained that score, and by adding up all the frequencies, we get the total number of individuals.

Therefore, the correct answer is D. 21.

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The total amount that would be found in the account after 4 years, would be $ 641. 69

The total amount after 4 years in Arik's account can be found by the formula :

= A = Amount invested x ( 1 + r /n )ⁿ

The variables are:

Amount invested = $ 500

r = 6.25% = 0. 0625

n = 12

t = 4 years

The total amount is then :

A = 500 x ( 1 + 0. 0625 / 12 ) ^ ⁽¹² ˣ ⁴ ⁾

A = $ 641. 69

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The length of line segment FJ, which represents the fencing Maria needs to buy, is 24 feet.

The length of line segment FJ can be determined by using the properties of parallel lines and the properties of a rectangle.

Since sides GH and FJ are parallel, we can use the fact that opposite sides of a rectangle are congruent. Therefore, the length of line segment FJ is equal to the length of line segment GH, which is 24 feet.

To further explain, in a rectangle, opposite sides are parallel and congruent. This means that the length of one side is equal to the length of the opposite side. In this case, line segment FJ is parallel to line segment GH, and since GH measures 24 feet, FJ also measures 24 feet.

In conclusion, the length of line segment FJ is 24 feet.

Explanation: By using the properties of parallel lines and the properties of a rectangle, we can determine that the length of line segment FJ is equal to the length of line segment GH, which is 24 feet.

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Answer:

C

Step-by-step explanation:

1 gallon = 16 cups

3 gallons = 48 cups if each camper gets one cup of lemonade, it can serve 48 campers.

The main answer is that the volume of the square prism is equal to half the volume of the cylinder.

In the given options, the second option states that the volume of the square prism is half the volume of the cylinder. This is the correct answer. The first option states that the volume of the square prism is 3 times the volume of the cylinder, which is not possible as the square prism and cylinder have different formulas for volume calculation. The third option states that the volume of the square prism is equal to the volume of the cylinder, which is also incorrect as the given statement implies that the volume of the cylinder is greater than the volume of the square prism. The fourth option states that the volume of the square prism is twice the volume of the cylinder, which is also incorrect. Therefore, the correct answer is that the volume of the square prism is equal to half the volume of the cylinder.

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Answer:

24

Step-by-step explanation:

If a least square regression line fits the data well, the characteristic should the residual plot exhibit is random scatter

The least squares regression line fits the data well.

The least squares regression is defined as the method that used to find the regression line or best suitable line for the given pattern

So if the data shows a linear relationship between the two given variable so such line will be called least squares regression line

The residual plot is the measure that vertical line how much misses from the data point

Here the least square-square regression lines fits the data well so the characteristics will be random scatter

Therefore, the characteristic that the residual plot exhibit is random scatter

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Answer:

Steven earns extra money babysitting. He charges $37.50 for 6 hours and $50.00 for 8 hours.

Enter an equation to represent the relationship. Let x represent the number of hours Steven babysits and y represent the amount he charges.

Step-by-step explanation:

The dimensions of the rectangle are width = 7/2 meters and length = 4 meters.

Let's assume that the width of the rectangle is x meters. According to the given information, the length of the rectangle is 3 meters less than double the width, which can be expressed as 2x - 3.

The area of a rectangle is given by the formula: Area = Length × Width. In this case, the area is given as 14 m². Therefore, we can write the equation:

(x)(2x - 3) = 14

Expanding the equation:

2x² - 3x = 14

Rearranging the equation to standard form:

2x² - 3x - 14 = 0

To solve this quadratic equation, we can factor it or use the quadratic formula. In this case, let's use the quadratic formula:

x = (-b ± √(b² - 4ac)) / (2a)

In our equation, a = 2, b = -3, and c = -14. Plugging in these values into the quadratic formula:

x = (-(-3) ± √((-3)² - 4(2)(-14))) / (2(2))

x = (3 ± √(9 + 112)) / 4

x = (3 ± √121) / 4

x = (3 ± 11) / 4

Simplifying further:

x = (3 + 11) / 4 or x = (3 - 11) / 4

x = 14 / 4 or x = -8 / 4

x = 7/2 or x = -2

Since the width cannot be negative, we discard the negative solution. Therefore, the width of the rectangle is 7/2 meters.

Now, we can substitute the value of x into the expression for the length:

Length = 2x - 3

Length = 2(7/2) - 3

Length = 7 - 3

Length = 4 meters

Thus, the dimensions of the rectangle are width = 7/2 meters and length = 4 meters.

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The acceleration components of point D are, ax = 3.6 m/s², ay = 6.4 m/s², az = -1.14 m/s²

At the instant shown, the shaft and plate rotates with an angular velocity of 19 rad/s and angular acceleration of 9 rad/s2. The given diagram is shown below. Angular velocity (w) = 19 rad/sAngular acceleration (α) = 9 rad/s²Plate dimension AB = 0.6 m, BC = 0.2 m, CD = 0.4 m, DA = 0.3 m, AE = 0.3 m and EF = 0.4 m.

Determine the wocl and Dsea of Enter the ", y, and Z components of the velocity separated by commas vec m/sThe velocity components for point D can be calculated using the following formula.Vd = R x wWhere R is the position vector of D relative to the origin.

According to the given diagram, the position vector of point D relative to the origin is, R = 0.2i + 0.4j + 0.3kThe velocity of point D can be calculated as follows.Vd = R x w = 0.2i + 0.4j + 0.3k x 19The cross product of R and w can be calculated as follows.i j k 0.2 0.4 0.3 0 19 0 = [(0.4 × 0) - (0.3 × 19)] i - [(0.2 × 0) - (0.3 × 0)] j + [(0.2 × 19) - (0.4 × 0)] kVd = -5.7i + 6.8kThus, the velocity components of point D are, Vx = -5.7 m/s, Vy = 0 m/s, Vz = 6.8 m/s

Determine the acceleration of point D located on the corner of the plate at this instant. Enter the, y, and Z components of the velocity separated by commas vec m/sThe acceleration components of point D can be calculated using the following formula.aD = R x α + w x (w x R)Where R is the position vector of D relative to the origin.

According to the given diagram, the position vector of point D relative to the origin is, R = 0.2i + 0.4j + 0.3kThe acceleration of point D can be calculated as follows.aD = R x α + w x (w x R) = (0.2i + 0.4j + 0.3k) x 9 + 19 x (19 x (0.2i + 0.4j + 0.3k)) = (0.4k - 0.3j) x 9 + 19 x (0.4 x (0.4j - 0.3k))aD = 3.6i + 6.4j - 1.14k.

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Answer:

The answer would be X= -7 .

Step-by-step explanation:

Hope it helps :)

The number of ways is 1 billion.

We are asked to determine the possible number of ways of the social security number that is 9 digits if the numbers can be repeated.

In this case, using fundamental counting, there are 10 possible numbers in each digit that is from zero to nine.

Thus, the number of ways is 10*10*10*10*10*10*10*10*10 equal to 1 billion ways.

Hence the number of ways is 1 billion.

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Given that cos theta = -1/12 and theta is in the second quadrant, we can use the Pythagorean identity to find the value of sin theta.

sin^2 theta = 1 - cos^2 theta

sin^2 theta = 1 - (-1/12)^2

sin^2 theta = 1 - 1/144

sin^2 theta = 143/144

Taking the square root of both sides:

sin theta = ± sqrt(143/144)

Since theta is in the second quadrant, sin theta is positive. Therefore:

sin theta = sqrt(143/144)

Simplifying the expression, we can take the square root of the numerator and denominator separately:

sin theta = sqrt(143) / sqrt(144)

Since sqrt(144) = 12, we can simplify further:

sin theta = sqrt(143) / 12

So the answer is C. Square root of 143/12.

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Using equations we know that towards the end of April, 4167 ants were needed to meet the requirement.

A group of statistical methods known as structural equation modeling (SEM) is used to quantify and examine the connections between latent and observable variables.

It explores linear causal links among variables while concurrently taking measurement error into account, making it similar to but more effective than regression analysis.

Early on, econometric models known as structural equation models were created to explain economic measurements.

Exogenous variables are those whose variability is produced outside the model, while endogenous variables are those whose variability is explained by exogenous factors or other variables within the model.

So, suppose there are x ants at the end of April.

The answer to the query is:

Total ants - fewer ants means there are fewer ants left.

x = 5000 - 1/6[5000]

x = 5000[1 - 1/6]

x = 5000[5/6]

x = 4166.67

x = ≈ 4167

Therefore, using equations we know that towards the end of April, 4167 ants were needed to meet the requirement.

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Correct question:
At the beginning of April, a colony of ants has a population of 5,000. During April, the colony decreases by 1/6 of its population. How many ants are there left at the end of April? approximate your answer as an integer(it would not make sense to have 2.5 ants). 5,000

d. cylinder a frozen juice can suggests the geometric solid of a cylinder due to its cylindrical shape with circular bases and a curved surface.

A frozen juice can typically has a cylindrical shape, characterized by its circular base and curved sides. The cylindrical shape is suggested by the can's structure, with a constant radius and height throughout.

To further explain, a cylinder is a geometric solid that has two congruent circular bases connected by a curved surface. The frozen juice can perfectly fits this description, as it has a circular lid and bottom, and its sides are formed by the curved surface connecting the two circular bases. The cylinder is known for its uniform cross-section, constant radius, and constant height, which are also present in the frozen juice can.

a frozen juice can suggests the geometric solid of a cylinder due to its cylindrical shape with circular bases and a curved surface.

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Answer:

A = 540 m²

Step-by-step explanation:

consider the shape split into 3 rectangles

the length is divided into 3 congruent sections

single dash = 30 m ÷ 3 = 10 m

the width is divided into 3 congruent sections

double dash = 27 m ÷ 3 = 9 m

then area (A) is the total of the 3 rectangular areas

A of left rectangle = 10 × 9 = 90 m²

A of middle rectangle = 10 × (9 + 9) = 10 × 18 = 180 m²

A of right rectangle = 10 × 27 = 270 m²

total area = 90 + 180 + 270 = 540 m²

To determine the exponential equation that best fits the data below:

Inorder to convert the exponential to linear, use logarithm

To estimate the value of y using the above exponential equation when x= 6

Hence the estimate the value of y ≈ 100

Therefore the correct answer is Option D

The equation of the straight line passing through the points (-1,1) and (2,-4) is  y = -5/3x - 2/3.

To find the equation, we can use the point-slope form of a linear equation, which is y - y₁ = m(x - x₁), where (x₁, y₁) are the coordinates of a point on the line and m is the slope of the line.

We have,

Point 1: (-1, 1) with coordinates (x₁, y₁)

Point 2: (2, -4) with coordinates (x₂, y₂)

Let's calculate the slope (m):

m = (y₂ - y₁) / (x₂ - x₁)

 = (-4 - 1) / (2 - (-1))

 = -5 / 3

Now, substituting one of the points and the slope into the point-slope form, we have:

y - y₁ = m(x - x₁)

y - 1 = (-5/3)(x - (-1))

y - 1 = (-5/3)(x + 1)

Expanding the equation:

y - 1 = (-5/3)x - 5/3

To simplify the equation, let's multiply both sides by 3 to eliminate the fraction:

3(y - 1) = -5x - 5

Expanding and rearranging the equation, we get:

3y - 3 = -5x - 5

3y = -5x - 5 + 3

3y = -5x - 2

y = (-5/3)x - 2/3

Thus, the equation of the straight line passing through the points (-1,1) and (2,-4) is y = -5/3x - 2/3.

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Step-by-step explanation:

Hey there!

Given;

The triangle is a right angled triangle, whose one side is 26 and another side is X. It has also one angle that is 41°.

Now, taking reference angle as angle 41°. We get;

Perpendicular= 26

Base = X

and Reference angle = 41°.

We know that the ratio of tan is p/b. So, let's use this ratio.

\( \tan(41°) = \frac{26}{x} \)

\(0.869 \times x = 26\)

\(x = \frac{26}{0.869} \)

Therefore, The value of x is 29.90.

Hope it helps...

Answer:

51

Step-by-step explanation:

=====================================================

The reference angle has AC = 12.3 as the opposite side and BC = 8.4 as the adjacent side. The tangent ratio ties the opposite and adjacent sides together.

--------

tan(angle) = opposite/adjacent

tan(theta) = AC/BC

tan(theta) = 12.3/8.4

theta = arctan(12.3/8.4)

theta = 55.6697828044967

theta = 55.7 degrees approximately

--------

arctan is the same as inverse tangent which is written as \(\tan^{-1}\)

make sure your calculator is in degree mode

Answer:

-g+12

Step-by-step explanation:

ANSWER

LA

EXPLANATION

We are given two triangles ABC and DEF.

We are given that We are given that

We are alos given that BC = EF.

From the conditions given, we have that one set of corresponding angles are equal.

We are also given that one set of leg lengths are equal.

We can therefore conculde that the condition of congruence for these two triangles is Leg - Angle.

That is LA.