Who wants to help with 7th grade math? 10 points (i put in 20 points)

The scatterplot is the correct answer.

A scatter plot uses dots to represent values for two different numeric variables. The position of each dot on the horizontal and vertical axis indicates values for an individual data point. Scatter plots are used to observe relationships between variables.

The dots in a scatter plot not only report the values of individual data points but also patterns when the data are taken as a whole.

Identification of correlational relationships is common with scatter plots. In these cases, we want to know, if we were given a particular horizontal value, what a good prediction would be for the vertical value.

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Answer:

A)  5x + 2y = 22

B) -2x + 6y = 3  We'll multiply A) by -3

A) -15x -6y = -66 Then we'll add B)

B) -2x + 6y = 3

-17x = -63

x = 3.7058823529

y = 1.7352941178

Step-by-step explanation:

We can use row reduction to solve this system of equations:

[1 1 0 0 1; 1 1 1 0 0; 1 0 1 1 0; 0 0 1 1 1; 1 1 1 1 1] => [1 0 0 -1 0; 0 1 0 1 0; 0 0 1 1 0;

For the matrix [ -3 6 5 -10], we can see that there are two linearly independent columns, namely [-3 2 1] and [6 1 1]. Therefore, a basis for the column space of this matrix is {[ -3 2 1], [6 1 1]}. The rank of this matrix is 2.

To find a basis for the null space of this matrix, we solve the equation Ax = 0, where A is the given matrix:

[ -3 6 5 -10] [x1]   [0]

[x2] = [0]

[x3]

[x4]

This simplifies to:

-3x1 + 6x2 + 5x3 - 10x4 = 0

We can rewrite this equation as:

x1 = 2x2 - (5/3)x3 + (10/3)x4

Therefore, the null space of this matrix is spanned by the vector [2, 1, 0, 0], [ -5/3, 0, 1, 0], and [10/3, 0, 0, 1].

For the matrix [2 1 1; 1 2 1; 7 5 4], we can see that all three columns are linearly independent. Therefore, a basis for the column space of this matrix is {[2 1 7], [1 2 5], [1 1 4]}. The rank of this matrix is 3.

To find a basis for the null space of this matrix, we solve the equation Ax = 0, where A is the given matrix:

[2 1 1; 1 2 1; 7 5 4] [x1]   [0]

[x2] = [0]

[x3]

This simplifies to:

2x1 + x2 + x3 = 0

x1 + 2x2 + 5x3 = 0

x1 + x2 + 4x3 = 0

We can use row reduction to solve this system of equations:

[2 1 1; 1 2 1; 7 5 4] => [1/2 1/4 -1/4; 0 9/4 -1/4; 0 0 0]

The reduced row echelon form shows that the null space of this matrix is spanned by the vector [-1/2, 1/2, 1], and [1/4, -1/4, 1].

For the matrix [1 1 0 0 1; 1 1 1 0 0; 1 0 1 1 0; 0 0 1 1 1; 1 1 1 1 1], we can see that all five columns are linearly independent. Therefore, a basis for the column space of this matrix is {[1 1 1 0 1], [1 1 0 0 1], [0 1 1 1 1], [0 0 1 1 1], [1 0 0 1 1]}. The rank of this matrix is 5.

To find a basis for the null space of this matrix, we solve the equation Ax = 0, where A is the given matrix:

[1 1 0 0 1; 1 1 1 0 0; 1 0 1 1 0; 0 0 1 1 1; 1 1 1 1 1] [x1]   [0]

[x2] = [0]

[x3]

[x4]

[x5]

This simplifies to:

x1 + x2 + x5 = 0

x1 + x2 + x3 = 0

x1 + x3 + x4 = 0

x4 + x5 = 0

x1 + x2 + x3 + x4 + x5 = 0

We can use row reduction to solve this system of equations:

[1 1 0 0 1; 1 1 1 0 0; 1 0 1 1 0; 0 0 1 1 1; 1 1 1 1 1] => [1 0 0 -1 0; 0 1 0 1 0; 0 0 1 1 0;

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The option that is not a factor that affects your auto insurance premiums is; C: The Colour of your Car

The amount you'll pay for car insurance is determined by a number of  factors. Now, the factors that mainly determines the bottom line on your auto policy include;

Now, looking at the various factors and comparing to the given options, the only odd one out is the colour of your car.

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The color of your car is not a factor that affects your auto insurance premiums.

Option C is the correct answer.

Auto insurance premiums are calculated based on a variety of factors, including the year, make, and model of your car, where you live, your driving history, your age, and the overall value of your car.

We have,

Insurance companies use statistical models to assess the risk associated with insuring a particular driver and car, and these models take into account a wide range of factors that are known to impact accident rates and insurance claims.

However, the color of your car is not typically considered a significant factor in determining insurance premiums.

While some people believe that red cars or other bright colors may be more likely to get pulled over or be involved in accidents, there is little evidence to support this idea.

Insurance companies are more concerned with the make and model of your car, as well as other factors that are known to impact risk.

Thus,

The color of your car is not a factor that affects your auto insurance premiums.

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The expected number of flips until getting the first heads is equal to the reciprocal of the probability of getting heads on a single flip, which is 1/p.

The number of independent flips x until the first heads follows a geometric distribution. In general, the probability of getting the first heads on the kth flip is given by \((1-p)^(^k^-^1^)\)p. Thus, the expected value or mean of the geometric distribution is E(x) = 1/p.

This means that on average, we need to flip the coin 1/p times until we get the first heads. For example, if the probability of getting heads is 0.5, then on average we need to flip the coin 2 times until we get the first heads. If the probability of getting heads is 0.1, then on average we need to flip the coin 10 times until we get the first heads.

The geometric distribution is a fundamental concept in probability theory and has many applications in fields such as finance, engineering, and computer science.

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Answer:

1. To adjust the recipe to serve 30 cupcakes instead of 10, you will need to multiply the amount of each ingredient by 3.

2. This number was determined by dividing the desired number of servings (30) by the original number of servings (10). 30/10 = 3.

3. For 30 cupcakes, you will need 3 times the amount of vegetable oil listed in the original recipe. The original recipe calls for 1/2 cup of vegetable oil, so for 30 cupcakes, you will need 3 * (1/2) = **1 and 1/2 cups** of vegetable oil.

4. For 30 cupcakes, you will need 3 times the amount of flour listed in the original recipe. The original recipe calls for 1 and 1/2 cups of all-purpose flour, so for 30 cupcakes, you will need 3 * (1 and 1/2) = **4 and 1/2 cups** of all-purpose flour.

5. The difference in the amount of vanilla extract you would need for 30 cupcakes is calculated by subtracting the amount needed for 10 cupcakes from the amount needed for 30 cupcakes. The original recipe calls for 1 teaspoon of vanilla extract, so for 30 cupcakes, you will need 3 * (1) = **3 teaspoons** of vanilla extract. The difference is therefore 3 - 1 = **2 teaspoons**.

6. The difference in the amount of salt you would need for 30 cupcakes is calculated by subtracting the amount needed for 10 cupcakes from the amount needed for 30 cupcakes. The original recipe calls for 1/8 teaspoon of salt, so for 30 cupcakes, you will need 3 * (1/8) = **3/8 teaspoon** of salt. The difference is therefore (3/8) - (1/8) = **2/8 or 1/4 teaspoon**.

In the real world, it would make more sense to round the amount of an ingredient like salt or nutmeg rather than coming up with the exact amount because these ingredients are used in such small quantities that a slight variation in their amounts is unlikely to have a significant impact on the final product.

Answer:

Step-by-step explanation:

Suppose we are asked to solve the quadratic equation

(

�

−

1

)

(

�

+

3

)

=

0

(x−1)(x+3)=0left parenthesis, x, minus, 1, right parenthesis, left parenthesis, x, plus, 3, right parenthesis, equals, 0. [Why is this a quadratic equation?]

This is a product of two expressions that is equal to zero. Note that any

�

xx value that makes either

(

�

−

1

)

(x−1)left parenthesis, x, minus, 1, right parenthesis or

(

�

+

3

)

(x+3)left parenthesis, x, plus, 3, right parenthesis zero, will make their product zero.

(

�

−

1

)

(

�

+

3

)

=

0

↙

↘

�

−

1

=

0

�

+

3

=

0

�

=

1

�

=

−

3

(x−1)

↙

x−1=0

x=1

​

(x+3)=0

↘

x+3=0

x=−3

​

Substituting either

�

=

1

x=1x, equals, 1 or

�

=

−

3

x=−3x, equals, minus, 3 into the equation will result in the true statement

0

=

0

0=00, equals, 0, so they are both solutions to the equation.

To factor a quadratic equation with a coefficient greater than 1 using the earmuff method, follow the steps of factoring normally but consider the coefficient 'a' when finding the two numbers that add up to 'b'.

When factoring a quadratic equation with a coefficient greater than 1, the earmuff method is a helpful technique. Let's consider a quadratic equation in the form of \(ax^{2}\) + bx + c, where 'a' represents the coefficient of \(x^{2}\). To factor the equation, we follow these steps:

Multiply 'a' and 'c' to obtain the product 'ac'.

Find two numbers that multiply to 'ac' and add up to 'b', the coefficient of 'x'.

Rewrite the middle term 'bx' as the sum of the two numbers found in step 2.

Group the terms in pairs and factor by taking out the common factor.

Factor out the greatest common factor from each pair of terms.

Write the factored form of the quadratic equation.

The earmuff method ensures that we consider the coefficient 'a' when finding the two numbers that add up to 'b'. By accounting for 'a', we ensure that the factored form reflects the relationship between the terms and maintains the accuracy of the equation.

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Answer:

90

Step-by-step explanation:

.

Answer:

120 degrees

Step-by-step explanation:

the angle at the center is called the central angle and you can tell because J is the center of the circle

The minor arc that is between point H and point K (the shorter way) is the same measure as the central angle

The NPV is positive, it is worth taking the Investment.

Net Present Value (NPV) is an assessment method that determines the attractiveness of an investment. It is a technique that determines whether an investment has a positive or negative present value.

This method involves determining the future cash inflows and outflows and adjusting them to their present value. This helps determine the profitability of the investment, taking into account the time value of money and inflation.The formula for calculating NPV is:

NPV = Σ [CFt / (1 + r)t] – CIWhere CFt = the expected cash flow in period t, r = the discount rate, and CI = the initial investment.

The given problem can be solved by using the following steps:

Calculate the present value (PV) of the expected cash inflows:

Year 1: $28,000 / (1 + 0.08)¹ = $25,925.93Year 2: $28,000 / (1 + 0.08)² = $24,009.11Year 3: $28,000 / (1 + 0.08)³ = $22,173.78Total PV = $72,108.82

Calculate the PV of the initial investment: CI = $7,000 / (1 + 0.08)¹ + $35,000 / (1 + 0.08)²CI = $37,287.43Calculate the NPV by subtracting the initial investment from the total PV: NPV = $72,108.82 – $37,287.43 = $34,821.39

Since the NPV is positive, it is worth taking the investment.

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Answer: there is no result because that’s the simplified form. You usually combine like terms but there isn’t any so that’s the simplest form

Step-by-step explanation:

Answer:

3a + 4b

Step-by-step explanation:

No result because there are no like terms!

The mass of a 2018 Olympic gold medal in hectograms is 58.6 hg.

First, we need to know the mass of the Olympic gold medal in grams. According to the question, the mass of an Olympic gold medal is 586 grams.

To convert grams to hectograms, we need to divide the mass in grams by 100. This is because there are 100 grams in 1 hectogram.

To do the division, we can use a calculator. Dividing 586 by 100 gives us 5.86.

The answer we get is in hectograms, so we can write it as 5.86 hg. This means that the mass of a 2018 Olympic gold medal is 5.86 hectograms.

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The standard form of the quadratic function that represents the area of the garden is: G(x) = - 2x² + 20x

Mrs Miller has 20 ft of fencing to put around three sides of the garden.

Let us assume that l represents the length of the garden.

Here x represents the width of the rectangular garden.

So, l = 20 - 2x

We know that the formula for the area of rectangle is:

A = length × width

Let G(x) be a function that represents the area of the garden.

Using above formula,

G(x) = x × l

G(x) = x(20 - 2x)

G(x) = 20x - 2x²

G(x) = - 2x² + 20x

Therefore, the required quadratic function is: G(x) = - 2x² + 20x

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Find dthe complete question below.

Base of the ladder is 5.6 m far away from the wall.

What is pythagoras theorem?

The Pythagorean Theorem, also known as the Pythagoras Theorem, is one of the most fundamental theorems in mathematics and it defines the relationship between the three sides of a right-angled triangle. In a right-angled triangle, one of the angles is  90∘, and the side that is opposite to that  90∘  (right) angle is known as the hypotenuse. The other two sides that are adjacent to the right angle are called the legs of the triangle.

It is given that  an 11.0 m ladder leans against the side of a building and ladder reaches up to the bottom of a window 9.5 m above the ground.

Diagram of this problem will be right angled triangle having hypotenuse 11 m and perpendicular 9,5 m

Using pythagoras theorem,

\(H^2=P^2+B^2\)

\((11)^2=(9.5)^2+B^2\)

121 = 90.25 + \(B^2\)

\(B^2\) = 121 - 90.25 = 30.75

B = \(\sqrt{30.75}\) = 5.6 m

Therefore, Base of the ladder is 5.6 m far away from the wall.

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Answer:

b

Step-by-step explanation:

b is correct

Answer:

Option 1

Step-by-step explanation:

∠EGB ≅ ∠EHD    {Corresponding angles

∵ ∠AGF ≅∠EHD   {transitive equality property}

Sin is an odd function; hence, sin(-x) = -sin(x). If θ lies in the second or third quadrant, then sin(θ) is negative while if θ lies in the first or fourth quadrant, then sin(θ) is positive.Let's use the unit circle to solve this.

To begin with, we must determine the terminal side's location when θ=7π/3. That is, in a counterclockwise direction, we must rotate 7π/3 radians from the initial side (positive x-axis) to find the terminal side.7π/3 has a reference angle of π/3 since π/3 is the largest angle that does not surpass π/3 in magnitude.

When we draw the radius of the unit circle corresponding to π/3, we'll find that it lies on the negative x-axis in the third quadrant.Now, the distance between the origin and the point of intersection of the terminal side with the unit circle (which is equivalent to the radius of the unit circle) is 1.

Therefore, the coordinates of the point are as follows:

x = -1/2, y

= -sqrt(3)/2.

We may use this to calculate sin(θ):sin(θ) = y/r

= (-sqrt(3)/2)/1

= -sqrt(3)/2

Therefore, the correct option is: (√3/2)

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The change in the nominal exchange rate, in Canada's perspective, is a depreciation of the Canadian dollar by 2.76%.

Nominal exchange rate is the price of one currency in terms of another currency. It represents the number of units of one currency that can be purchased with a single unit of another currency. In Canada's perspective, a change in nominal exchange rate means the value of the Canadian dollar in US dollars. So, to calculate the change in nominal exchange rate from Canada's perspective.

Nominal Exchange Rate = Real Exchange Rate x (1 + Inflation of Canada) / (1 + Inflation of US) Given, Real Exchange Rate of Canada

= 4.9% Inflation of Canada

= 8.5% Inflation of US

= 3.8%  Nominal Exchange Rate

= 4.9% x (1 + 8.5%) / (1 + 3.8%) Nominal Exchange Rate

= 4.9% x 1.085 / 1.038 Nominal Exchange Rate

= 5.3099 / 1.038 Nominal Exchange Rate

= 5.11 (rounded to two decimal places)

This means that if there were no inflation, the nominal exchange rate from Canada's perspective would have been 5.11 Canadian dollars per US dollar. But due to inflation, the Canadian dollar depreciated by 2.76% (calculated as (5.11 - 4.97) / 5.11 x 100%). Therefore, the change in the nominal exchange rate, in Canada's perspective, is a depreciation of the Canadian dollar by 2.76%.

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The overall viewership percentage for the specific time slot, based on households using television (HUT), is approximately 61.34%.

To determine the overall viewership percentage for a specific time slot based on the households using television (HUT), we need to calculate the percentage of households with televisions turned on during that time from all available household televisions in the entire country.

Given information: Out of every 119 televisions owned by households in the country, 73 household televisions were turned on during the time slot.

To calculate the percentage of households using television (HUT), we need to divide the number of household televisions turned on (73) by the total number of household televisions available (119).

Calculate the percentage by multiplying the result from step 2 by 100:

Percentage = (73 / 119) * 100

Use a calculator to evaluate the expression:

Percentage = 61.34 (rounded to two decimal places)

So, the overall viewership percentage for the specific time slot, based on households using television (HUT), is approximately 61.34%.

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Answer:

The cost of three would be $720.

Step-by-step explanation:

First you need to divide 480 by 2 which gives you 240. 240 is the cost of one iPad so 240 times 3 is 720.

Answer:

Step-by-step explanation:

Karleebordelon6 has a wonderful answer, but I will provide a slightly different approach.

This can be solved by using proportions.

Take a look:

\(\frac{2 (ipads)}{480 (dollars)} =\frac{3 (ipads)}{x}\)

After setting up the proportion, we can cross multiply.

\(480 * 3 = 1440\\\)

\(2 *x = 2x\)

Lastly, divide both products.

\(2x = 1440\)

\(1440/2 = 720\)

Therefore, the total cost of 3 iPads is $720.

In other words, x = 720.

\(\frac{2(ipads)}{480(dollars)} =\frac{3( ipads)}{720(dollars)}\)

The relationship between DE and AC of the similar triangles is;

DE = ¹/₂AC

Similar triangles are defined as triangles that have the same shape, but then their sizes may very well defer. This means that all equilateral triangles, squares of any side lengths are some types of similar objects.

Now, if two triangles are said to be similar, then it means that their corresponding angles are congruent and also their corresponding sides would be in equal proportion

From the given image, we can deduce that;

BD = AD (Given)

BE = CE = ¹/₂BC

Thus, from the concept of similar triangles, we can say that;

DE = ¹/₂AC

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The domain of the rational function in this problem is given as follows:

All real values except x = -3, x = 3, x = 4.

The domain of a function is the set composed by all the input values that the function accepts.

The function in this problem is a fraction, meaning that the denominator cannot be zero.

The denominator is given as follows:

x³ - 4x² - 9x + 36.

The roots of the denominator are given as follows:

x = -3, x = 3, x = 4.

Hence the domain is all real values except those, meaning that the second option is the correct option.

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Answer: o find an equation that is parallel to the given line, we need to use the fact that parallel lines have the same slope.

The given line has a slope of 1/2, so any parallel line must also have a slope of 1/2.

Now we can use the point-slope form of a line to find the equation of the parallel line that passes through (-6, 5):

y - y1 = m(x - x1)

where m is the slope and (x1, y1) is the given point.

Plugging in m = 1/2 and (x1, y1) = (-6, 5), we get:

y - 5 = 1/2(x - (-6))

Simplifying:

y - 5 = 1/2(x + 6)

y - 5 = 1/2x + 3

y = 1/2x + 8

So the equation of the parallel line that passes through (-6, 5) is y = 1/2x + 8.

Brainliest is Appreciated.

By using Disk Method, the integral that gives the volume of the solid formed by revolving the region about the y-axis of y = x^(11/12) y=1, x=0 is V = π∫(0 to 1) y^(24/11) dy = 11π/35. The option is D) is correct.

To use the Disk Method to find the volume of the solid formed by revolving the region about the y-axis, we can imagine slicing the solid into thin disks perpendicular to the y-axis, with each disk having thickness dy. The total volume of the solid can be found by summing up the volumes of all such disks from y=0 to y=1.

The equation of the curve is y = x^(11/12), so we can solve for x as x = y^(12/11). The region is bounded by y=0, y=1 and x=0.

Now, consider a thin disk located at a distance y from the y-axis. The radius of the disk is given by the distance between the y-axis and the curve at y, which is simply x = y^(12/11). Thus, the radius of the disk is r(y) = y^(12/11). The thickness of the disk is dy.

The volume of the disk is given by the formula for the volume of a cylinder, which is V = πr^2h, where r is the radius of the disk and h is its thickness. Substituting in the values we have for r(y) and dy, we get:

dV = π(y^(12/11))^2 dy

Integrating this expression over the range of y from y=0 to y=1 gives us the total volume of the solid:

V = ∫(0 to 1) π(y^(12/11))^2 dy

Simplifying the integrand, we have:

V = π∫(0 to 1) y^(24/11) dy

Using the power rule of integration, we have:

V = π[(11/35) y^(35/11)](0 to 1)

Evaluating this expression at the limits of integration, we get:

V = π[(11/35) - 0] = π(11/35) = 11π/35

Therefore, the volume of the solid formed by revolving the region about the y-axis is 11π/35 cubic units. The correct answer is D).

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_____The given question is incomplete, the complete question is given below:

Use the Disk Method to set up and evaluate the integral that gives the volume of the solid formed by revolving the region about the y-axis. y = x^(11/12) y=1, x=0

A)  V = π∫(0 to 1) y^(11/12) dy =  11π/70

B)  V = π∫(0 to 1) y^(24/11) dy =  11π/70

C)  V = π∫(0 to 1) y^(12/11) dy =  11π/35

D) V = π∫(0 to 1) y^(24/11) dy = 11π/35

Answer: the width is 8 miles

Step-by-step explanation:

Answer:

Step-by-step explanation:

The vertex form of  the equation of the parabola with vertex (h, k)   is:

y = a(x - h)² + k  

So  the equation of the parabola with vertex (3, 4):

y = a(x - 3)² + 4

The parabola passes through point (2, -2) so if x=2 then y=-2

- 2 = a(2 - 3)² + 4

- 2 -4 = a(-1)² + 4 -4

- 6 = a

So, the equation written in vertex form of a parabola with a vertex of (5, 7) that passes through (2, -2):

                                       y = - 6(x - 3)² + 4  

Answer:

no

Step-by-step explanation:

Lets she how much money she has

1.00   dollars

5 * .25 = 1.25 quarters

4 * .10 = .40 dimes

7 * .01 = .07 pennies

Add it all together

1 + 1.25+ .40 +.07 =2.72

3.50 - 2.72 =.78

She is 78 cents short