Which expression has a value that is more than the base of that expression? Select all that apply.


2a + 5b + 7a


9a + 5b


5b + 5(7a) + 2a


5b+37a

Answer:

I think the answer is m= 26x+1

I'm not a 100% sure

Step-by-step explanation:

m=25x + 9x - 8x +1

The width of the original piece of sheet metal is (w^2 - l^2)/(3w + 3l), and the length is (l^2 - w^2)/(3w + 3l).

To solve this problem, we can use the formula for the volume of a rectangular box, which is V = lwh, where l is the length, w is the width, and h is the height.

First, let's find the height of the box. Since we cut squares from each corner, the height of the box is the length of the square that was cut out. Let's call this length x.

The width of the box is the original width minus the lengths of the two squares that were cut out, which is w - 2x.

Similarly, the length of the box is the original length minus the lengths of the two squares that were cut out, which is l - 2x.

Now we can write the volume of the box in terms of x, w, and l:

V = (w - 2x)(l - 2x)(x)

Expanding this expression, we get:

V = x(4wl - 4wx - 4lx + 8x^2)

Simplifying further:

V = 4x^3 - 4wx^2 - 4lx^2 + 4wlx

To find the dimensions of the original piece of sheet metal, we need to maximize this volume. We can do this by taking the derivative of the volume with respect to x and setting it equal to zero:

dV/dx = 12x^2 - 8wx - 8lx + 4wl = 0

Solving for x, we get:

x = (2wl)/(3w + 3l)

Now we can use this value of x to find the width and length of the original piece of sheet metal:

w - 2x = w - 2(2wl)/(3w + 3l) = (w^2 - l^2)/(3w + 3l)

l - 2x = l - 2(2wl)/(3w + 3l) = (l^2 - w^2)/(3w + 3l)

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To rewrite the expression $3x^2 + 14x + 8$ in the form $(3x + a)(x + b)$, we need to find integers $a$ and $b$ such that the product of these two terms gives the original expression.

First, we need to find the factors of $3 \times 8 = 24$. The pairs of factors are: $(1, 24), (2, 12), (3, 8), (4, 6)$. We need a pair that has a sum of $14$ (the coefficient of the middle term). The pair $(2, 12)$ meets this requirement.

Now we can write the expression as:

$(3x^2 + 2x) + (12x + 8) = (3x + 2)(x + 4)$

So, $a = 2$ and $b = 4$. The value of $a - b$ is $2 - 4 = -2$.

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The correlation coefficient between the number of contacts made and sales dollars earned is approximately -0.1166, suggesting a weak negative correlation.

To analyze the relationship between the number of contacts made and the amount of sales dollars earned, we can create a scatter plot and calculate the correlation coefficient.

Based on the given data:

Number of Contacts (x): 12, 8, 5, 11, 9

Sales Dollars Earned (y): 9.3, 5.6, 4.1, 8.9, 7.2

To calculate the correlation coefficient, we need to compute the following:

Calculate the mean of x and y:

Mean of x (X) = (12 + 8 + 5 + 11 + 9) / 5 = 9

Mean of y (Y) = (9.3 + 5.6 + 4.1 + 8.9 + 7.2) / 5 = 7.42

Calculate the deviation of x and y from their means:

Deviation of x (xᵢ - X): 3, -1, -4, 2, 0

Deviation of y (yᵢ - Y): 1.88, -1.82, -3.32, 1.48, -0.22

Calculate the product of the deviations:

Product of deviations (xᵢ - X) * (yᵢ - Y):

3 * 1.88, -1 * -1.82, -4 * -3.32, 2 * 1.48, 0 * -0.22

5.64, 1.82, -13.28, 2.96, 0

Calculate the sum of the products of deviations:

Sum of products of deviations = 5.64 + 1.82 - 13.28 + 2.96 + 0 = -2.86

Calculate the squared deviations of x and y:

Squared deviation of x ((xᵢ - X)^2): 9, 1, 16, 4, 0

Squared deviation of y ((yᵢ - Y)^2): 3.5344, 3.3124, 11.0224, 2.1904, 0.0484

Calculate the sum of squared deviations:

Sum of squared deviations of x = 9 + 1 + 16 + 4 + 0 = 30

Sum of squared deviations of y = 3.5344 + 3.3124 + 11.0224 + 2.1904 + 0.0484 = 20.1076

Calculate the correlation coefficient (r):

r = (sum of products of deviations) / sqrt((sum of squared deviations of x) * (sum of squared deviations of y))

r = -2.86 / sqrt(30 * 20.1076)

r ≈ -2.86 / sqrt(603.228)

r ≈ -2.86 / 24.566

r ≈ -0.1166 (rounded to four decimal places)

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Answer:

There were 60 kids in class.

Step-by-step explanation:

Since the kids had two choices and the ratio between them was for every 3 children that selected "Shin Chan" only 1 selected "Tom and Jerry", then in order to calculate the number of children in the class if 45 kids selected "Shin Chan", we first need to calculate the number of children that selected the other option. To do that we divide the number by 3. We have:

children(Tom and Jerry) = children(Shin Chan)/3

children(Tom and Jerry) = 45/3 = 15

Therefore the number of children in the class is:

children(class) = children(Tom and Jerry) + children(Shin Chan)

children(class) = 15 + 45 = 60

There were 60 kids in class.

Answer:

hi

Step-by-step explanation:

it is the second one 067,950

and we can write it like this--- 67,95

Answer: 5 units

Step-by-step explanation:

The standard form of equation of circle:

\((x-h)^2+(y-k)^2=r^2\) , where (h,k) = center of circle, r= radius.

Given : Center of circle= origin = (0,0) =(h,k)

Point on circle = (3,4)

Put x= 3 , y=4 , h=0 , k=0 , then the equation will become

\((3-0)^2+(4-0)^2=r^2\\\\\Rightarrow\ 9+16=r^2\\\\\Rightarrow\ 25=r^2\\\\\Rightarrow\ r=5\)

Hence, the radius is 5 units long.

Step-by-step explanation:

The slope of the line is - 5, the equation will be y=-5x-1.

y+5x=-1

Answer:

2.5

Step-by-step explanation:

5 by 2: 2.5

Answer:

the answer is -52 I did it on a calculator

Answer:

C. x + 12 > 2

Step-by-step explanation:

Given:

Twelve more than x is greater than two

Required:

Translate to symbols

Solution:

Twelve more than x can be represented as "x + 12"

Greater than is represented by the symbol ">"

Two represented as "2"

Therefore, the translation to symbols would be:

x + 12 > 2

Answer:

Either do 28+28+28, etc. 38 times, or follow the diagram I attached.

If you want to know more about what I did in the attachment, just ask <3

Answer:

Start by multiplying the ones: 6 times 28 is 168. Next, multiply the tens: 30 times 28 is 840. Add the products to get 1,008.

Step-by-step explanation:

Answer:

n=6

m=4.5

I don't know about the angle though

Step-by-step explanation:

sf = 1.5

1.5x4=6

1.5x3= 4.5

Elementary and middle school groups typically run for 6 to 8 weeks, depending on administrator and teacher support for allowing students to miss class for the group sessions.

Elementary education,  can as well be described as the  primary education, which is the first stage of education that is followed in the traditional  formal education,  children at  about age 5 to 7 are those that are usually found in the elementary seetings of school.

Its should be noted that Elementary and middle school groups typically run for 6 to 8 weeks, depending on administrator .

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Answer:

9 and 15

Step-by-step explanation:

ans should be 9 and 15

i dun really understand what this qns wants u to find really bad qns to test

Answer:

The rate is 180

Step-by-step explanation:

9514 1404 393

Answer:

  (b)  24 m²

Step-by-step explanation:

After dilation by a factor of 2, the base is 2×3 m = 6 m, and the height is 2×4 m = 8 m. Then the area of the dilated triangle is ...

  A = 1/2bh

  A = 1/2(6 m)(8 m) = 24 m²

When checking the adequacy of a regression model, Correlation must be greater than alpha, option A.

A. Correlation is important for understanding the relationship between variables in a regression model but is not a requirement for assessing its adequacy.

Adequacy is determined by factors such as constant variance of residuals, mean of residuals close to zero, and approximately normal distribution of residuals.

B. The residuals should have a constant variance (homoscedasticity): This assumption ensures that the variability of the residuals is consistent across all levels of the independent variable(s).

C. The mean of the residuals is close to zero: This assumption suggests that the model is unbiased, and the residuals have no systematic bias in their average values.

D. The residuals are approximately normally distributed: This assumption implies that the residuals follow a normal distribution.

Departure from normality may affect the validity of statistical tests and confidence intervals.

These three requirements (B, C, and D) are important to ensure that the regression model provides accurate and reliable estimates of the parameters and produces valid statistical inferences.

Therefore, the correct answer is A. Correlation must be greater than alpha.

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The cost of one plum in pence is 9p. The cost of 1 lime in pence is 12p.

Comparing the cost plum is cheaper.

The cost of 1 plum can be found by dividing the total cost of 7 plums by 7:

63 p / 7 = 9 p

Therefore, the cost of 1 plum is 9 p.

The cost of 1 lime can be found by dividing the total cost of 5 limes by 5:

60 p / 5 = 12 p

Therefore, the cost of 1 lime is 12 p.

Comparing the costs of 1 plum and 1 lime, we see that 1 plum costs 9 p and 1 lime costs 12 p. Therefore, the plum is cheaper per item.

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

A grocery shop sells plums and limes. 7 plums cost 63 p. 5  limes cost 60p a) Work out the cost of  1 plum, in pence (p).

b) Work out the cost of 1 lime, in pence (p).

c) Which type of fruit is cheaper per item?

Help you with what in geometry?

Answer:

492 *100/625 =80 %

Step-by-step explanation:

Where [*]= Multiply

Answer:

1) 2 nonreal complex roots

2) 1 Real Solution

3) 16

4) Reflected, narrower by a factor of 2/5, slides right 4 units and slides up 6 (units)

Step-by-step explanation:

1) The graph does not intercept the x-axis, therefore, there are no real solutions at the point y = 0

We get;

y = a·x² + b·x + c

At y = 6, x = -2

Therefore;

6 = a·(-2)² - 2·b + c = 4·a - 2·b + c

6 = 4·a - 2·b + c...(1)

At y = 8, x = 0

8 = a·(0)² + b·0 + c

∴ c = 8...(2)

Similarly, we have;

At y = 8, x = -4

8 = a·(-4)² - 4·b + c = 16·a - 4·b + 8

16·a - 4·b = 0

∴ b = 16·a/4 = 4·a

b = 4·a...(3)

From equation (1), (2) and (3), we have;

6 = 4·a - 2·b + c

∴ 6 = b - 2·b + 8 = -b + 8

6 - 8 = -b

∴ -b = -2

b = 2

b = 4·a

∴ a = b/4 = 2/4 = 1/2

The equation is therefor;

y = (1/2)·x² + 2·x + 8

Solving we get;

x = (-2 ± √(2² - 4 × (1/2) × 8))/(2 × (1/2))

x =( -2 ± √(-12))/1 = -2 ± √(-12)

Therefore, we have;

2 nonreal complex roots

2) Give that the graph of the function touches the x-axis once, we have;

1 Real Solution

3) The given function is f(x) = 2·x² + 8·x + 6

The general form of the quadratic function is f(x) = a·x² + b·x + c

Comparing, we have;

a = 2, b = 8, c = 6

The discriminant of the function, D = b² - 4·a·c, therefore, for the function, we have;

D = 8² - 4 × 2 × 6 = 16

The discriminant of the function, D = 16

4.) The given function is g(x) = (-2/5)·(x - 4)² + 6

The parent function of a quadratic equation is y = x²

A vertical translation is given by the following equation;

y = f(x) + b

A horizontal to the right by 'a' translation is given by an equation of the form; y = f(x - a)

A vertical reflection is given by an equation of the form; y = -f(x) = -x²

A narrowing is given by an equation of the form; y = b·f(x), where b < 1

Therefore, the transformations of g(x) from the parent function are;

g(x) is a reflection of the parent function, with the graph of g(x) being narrower by 2/5 than the graph of the parent function. The graph of g(x) is shifted right by 4 units and is then slides up by 6 units.

Answer:

m= -1

Use: y = mx + b

Answer:

Continuous.

Step-by-step explanation:

In Mathematics, a random variable can be defined as any variable whose values are determined by the outcome of a random experiment.

Basically, random variables are classified into two (2) main categories and these are;

1. Discrete random variable: a discrete random variable is a data set in which the number of possible values are either finite or countable. For instance, the value of a fair die, number of sweets in a jar, number of eggs in a crate etc.

2. Continuous random variable: a continuous random variable is a data set having infinitely many possible values and those values cannot be counted, meaning they are uncountable. Any quantity such as height, volume, weight, density, length, pressure, temperature, speed, distance, time are generally a continuous random variable.

Hence, the weight of a rock is continuous random variable because it has an infinite number of possible values such as 1kg, 20kg, 10kg, 50kg etc.

Answer:

hope this helps

Step-by-step explanation:

When a small group of farmers in eastern China looked at their watermelon fields one spring morning in 2011, they had quite a shock. The fields were not full of a bumper crop like that shown in this picture. Instead, the fields were full of shattered watermelons. The melons looked like they had been blown apart.

A row of watermelons in a field.

Field of ripe watermelons

The problem was limited to about 45 acres (18 hectare) of melons near Danyang. Experts concluded a chemical called forchlorfenuron was at fault. This chemical makes fruits and vegetables grow faster and larger than normal. In fact, they can grow 20 percent bigger!

China’s Watermelon Crop

China grows more watermelons than any other country. All parts of the watermelon are used in traditional Chinese medicine. Farmers see benefits in increasing the size of each melon. Bigger melons bring bigger profits. Melons that grow faster also get to market more quickly. As a result, several farmers had treated their watermelon crop. But the melons grew much faster than anyone expected—in fact, so fast that they burst apart.

Scientists who studied the situation stated that several important things went wrong. First, the type of watermelon these farmers grow is fairly thin-skinned. Under the best conditions, it would be more likely than other types of melon to split. Adding the growth stimulant made that result even more likely.

Watermelons are also more likely to split when the amount of water they receive fluctuates. Watermelons are 92 percent water. During drier weather, their skin tightens. If a heavy rain follows, the plant must absorb a lot of water very fast. The result is cracking. In this case, farmers applied the chemical before a period of heavy rain. The pressure from the water plus the growth stimulant caused the melons to burst.

Chemical Use—Good and Bad

Farmers use many chemicals on crops. That is especially true in a country like China where many people make a living as farmers, and where agriculture is an important part of the economy. The chemical used on the watermelons was a growth stimulant. It makes each acre more productive. Farmers also use pesticides. These chemicals kill pests such as insects or rodents that destroy crops. They use other chemicals to control weeds or kill organisms that spread disease.

Much of China’s farmland has been used for a long time. Fertilizers are needed to add nutrients to soil that years of use have pulled out. China’s farmers also raise livestock and poultry under conditions where many animals are crowded together. Antibiotics are widely used to control the spread of disease.

The goal of heavy chemical use is to boost farm productivity. In fact, China is the world’s largest user of agricultural chemicals. It uses 30 percent of the world total on just 9 percent of the world’s farmland. They do help China produce more food. But chemicals can also cause problems—and not just exploding watermelons.

Some chemicals can be harmful to people or the environment. Most of China’s farms are small—fewer than 5 acres (2 hectares). Studies show that small farms are more likely to use chemicals inefficiently. They may use them in way that can be harmful to the environment. Small farms are also less likely to use innovations in technology that reduce the need for chemicals.

Still, China knows the harm these chemicals are doing to the land. It has set a goal of no further growth in the use of these chemicals by 2020. That means farmers will have to cut back on the chemicals they spray onto their crops. And that should also mean no more exploding watermelons.

Answer:

The value of x = 12, makes the statement \(3x=2x+12\)  true

Option D is correct option.

Step-by-step explanation:

What value of x makes this statement true?

\(3x=2x+12\)

We need to solve the equation to find value of x

\(3x=2x+12\)

Subtract 2x on both sides

\(3x-2x=2x+12-2x\\x=12\)

So, the value of x is: x=12

So, The value of x = 12, makes the statement \(3x=2x+12\)  true

Option D is correct option.

Answer:

---------------------

The angle formed by a tangent and secant is half the difference of the intercepted arcs:

Find the measure of ∠MLJ by substituting 4 for x in the angle measure:

Answer:

We start at:

|X+6|- 12 < 13

Here we can add 12 to both sides:

|X+6| <13 + 12 = 25

|X+6| < 25

We can separate it in two equations:

if x > -6, then |X+6|  = x + 6

        (x + 6) < 25

         x < 25 - 6

          x <  19

if x < -6, then |X+6|  = -(x + 6)

         -(x + 6) < 25

          -x < 31

            x > -31

And with those two equations we get:

-31 < x < 19

The inequality Amber should graph is:

-31  <  x  <  19

The given inequality is:

|x  +  6| -  12  <  13

This can be simplified as:

|x  +  6|  <  12 +  13
|x  +  6|  <  25

This has two solutions:

x  +  6  <  25

x  <  25 - 6

x  <  19

Also:

x  + 6 > -25

x    > -25 - 6

x  > -31

Therefore, the inequality that Amber will graph is:

-31  <  x  <  19

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Answer:

A and C

Step-by-step explanation:

Area of ∆ = ½*base*height

Area of figure A:

base = 6

height = 10

Area = ½*6*10 = 3*10 = 30 square units

Area of figure B:

base = 10

height = 8.66

Area = ½*10*8.66 = 5*8.66 = 43.3 square units

Area of figure C:

base = 10

height = 6

Area = ½*10*6 = 5*6 = 30 square units

Area of figure D:

base = 6

height = 8

Area = ½*6*8 = 3*8 = 24 square units

Area of figure E:

base = 3

height = 10

Area = ½*3*10 = 3*5 = 15 square units