energy company gas price increase{%} electricity price increase
E-top 9.4 7.7

TMF Energy 10.8 10.8

U Power 8.5 9.0

Plus Power 11.1 9.3

Local gas 8.4 10.4
kly 8.2 8.3
The table gives information about six energy companies

Work out the range of the percentage gas price increases.

The following are the zeros for the function h (x) = x2 + 3x - 8: - x= -4 and x=2.

Given a collection of inputs X (domain) and a set of potential outputs Y (codomain), a function is more technically defined as a set of ordered pairings (x,y) where xX and yY with the caveat that there can only be one ordered pair with the same value of x. The function notation f:XY can be used to express that f is a function from X to Y.

The function's zero is a value of x that makes it equal to zero. In other words, the equation f(x) = 0 leads to a zero.

By putting h(x) equal to zero and figuring out x, we may determine the zeroes for the function h(x) = x2 + 3x - 8.

h(x) = x² + 3x - 8 = 0

We may factor the left side of the equation to find x:

x² + 3x - 8 = (x-2)(x+4) = 0

We set each factor to zero and solve for x to discover the zeroes:

x-2 = 0 or x+4 = 0

x = 2 or x = -4

Consequently, the function's zeros are x = 2 and x = -4.

So, A is the right response. x = -4 and x = 2

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The complete question is

What are the zeros of the function h (x) = x² + 3x - 8?

A. x = -4 and x = -2

B. x= -8 and x = 2

C. x = -2 and x = 8

D. x = 2 and x = 8

The final solution to the given differential equation with the given initial conditions is:

\(\( y(t) = \frac{1}{21} e^{-6t} + \frac{2}{7} e^{t} - \frac{1}{3} \)\)

To find the solution y(t)  for the given second-order ordinary differential equation with initial conditions, we can follow these steps:

Find the characteristic equation:

The characteristic equation for the given differential equation is obtained by substituting y(t) = \(e^{rt}\) into the equation, where ( r) is an unknown constant:

r² + 3r - 6 = 0

Solve the characteristic equation:

We can solve the characteristic equation by factoring or using the quadratic formula. In this case, factoring is convenient:

(r + 6)(r - 1) = 0

So we have two possible values for  r :

\(\( r_1 = -6 \) and \( r_2 = 1 \)\)

Step 3: Find the homogeneous solution:

The homogeneous solution is given by:

\(\( y_h(t) = C_1 e^{r_1 t} + C_2 e^{r_2 t} \)\)

where \(\( C_1 \) and \( C_2 \)\) are arbitrary constants.

Step 4: Find the particular solution:

To find the particular solution, we assume that y(t) can be expressed as a linear combination of t and a constant term. Let's assume:

\(\( y_p(t) = A t + B \)\)

where \( A \) and \( B \) are constants to be determined.

Taking the derivatives of\(\( y_p(t) \)\):

\(\( y_p'(t) = A \)\)(derivative of  t  is 1, derivative of B is 0)

\(\( y_p''(t) = 0 \)\)(derivative of a constant is 0)

Substituting these derivatives into the original differential equation:

\(\( y_p''(t) + 3t y_p(t) - 6y_p(t) - 2 = 0 \)\( 0 + 3t(A t + B) - 6(A t + B) - 2 = 0 \)\)

Simplifying the equation:

\(\( 3A t² + (3B - 6A)t - 6B - 2 = 0 \)\)

Comparing the coefficients of the powers of \( t \), we get the following equations:

3A = 0  (coefficient of t² term)

3B - 6A = 0 (coefficient of t term)

-6B - 2 = 0 (constant term)

From the first equation, we find that A = 0 .

From the third equation, we find that \(\( B = -\frac{1}{3} \).\)

Therefore, the particular solution is:

\(\( y_p(t) = -\frac{1}{3} \)\)

Step 5: Find the complete solution:

The complete solution is given by the sum of the homogeneous and particular solutions:

\(\( y(t) = y_h(t) + y_p(t) \)\( y(t) = C_1 e^{-6t} + C_2 e^{t} - \frac{1}{3} \)\)

Step 6: Apply the initial conditions:

Using the initial conditions \(\( y(0) = 0 \) and \( y'(0) = 0 \),\) we can solve for the constants \(\( C_1 \) and \( C_2 \).\)

\(\( y(0) = C_1 e^{-6(0)} + C_2 e^{0} - \frac{1}{3} = 0 \)\)

\(\( C_1 + C_2 - \frac{1}{3} = 0 \)     (equation 1)\( y'(t) = -6C_1 e^{-6t} + C_2 e^{t} \)\( y'(0) = -6C_1 e^{-6(0)} + C_2 e^{0} = 0 \)\( -6C_1 + C_2 = 0 \)\)     (equation 2)

Solving equations 1 and 2 simultaneously, we can find the values of\(\( C_1 \) and \( C_2 \).\)

From equation 2, we have \(\( C_2 = 6C_1 \).\)

Substituting this into equation 1, we get:

\(\( C_1 + 6C_1 - \frac{1}{3} = 0 \)\( 7C_1 = \frac{1}{3} \)\( C_1 = \frac{1}{21} \)\)

Substituting \(\( C_1 = \frac{1}{21} \)\) into equation 2, we get:

\(\( C_2 = 6 \left( \frac{1}{21} \right) = \frac{2}{7} \)\)

Therefore, the final solution to the given differential equation with the given initial conditions is:

\(\( y(t) = \frac{1}{21} e^{-6t} + \frac{2}{7} e^{t} - \frac{1}{3} \)\)

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Answer:

4

Step-by-step explanation:

5(x-3)+2x=x+9

5x-15+2x=x+9

5x+2x-x-15=9

7x-x-15=9

6x-15=9

6x=9+15

6x=24

x=24/6

x=4

Answer:

Isolate the variable by dividing each side by factors that don't contain the variable.

x  =  4

Step-by-step explanation:

5x+2x-x-15=9

7x-x-15=9

6x=24

x=24/6

Sorry if this didn't help! - Leianna

Answer: A

Step-by-step explanation:

The division of the polynomials will be x² + xy + y².

It should be noted that a polynomial simply means an expression that is composed of variables that are combined by using the mathematical operations. Polynomials are the sums of terms of the form k⋅xⁿ, where k is the number and n is a positive integer. An example, 3x+2x-5 is a polynomial

It should be noted that the polynomial given is:

= (x³ + y³)/(x + y)

= [(x - y)(x² + xy + y²) / (x - y)]

= x² + xy + y².

Therefore, the division of the polynomials will be x² + xy + y².

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Answer: Using these three rules, we can generate any string in S recursively. For example, starting with "aa", we can apply rule 2 to generate "aab", then apply rule 2 again to generate "aabb", and so on.

Step-by-step explanation:

Let S be the set of all strings of a's and b's where all the strings contain exactly two consecutive a's.

The recursive definition of S is as follows:

The string "aa" is in S.

For any string s in S, the string "asb" is in S, where 's' represents any string in S.

No other strings are in S.

Explanation:

The first rule ensures that the set S contains at least one string, "aa", that satisfies the given conditions.

The second rule specifies that for any string s in S, the string "asb" is also in S, where 's' represents any string in S. This means that if we have a string in S, we can always generate a new string in S by adding an 'a' immediately before the first 'b' in s.

The resulting string will still contain exactly two consecutive 'a's and will still consist only of 'a's and 'b's.

The third rule specifies that no other strings are in S. This ensures that the set S only contains strings that satisfy the given conditions, namely that they contain exactly two consecutive 'a's and consist only of 'a's and 'b's.

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Answer:

The answer is "\(2.5 \ cm\)"

Step-by-step explanation:

While Luke is 5m to 2cm in size, it implies that every 2cm to Luke's drawing is 5m in real life. That real pond width must therefore be 5 m, given the fountain's width is 2 cm. As shown in the illustration, the step size for IsabelLa from the illustration to real life is \(\frac{6}{3} =2\), which makes it simple to multiply any measure in the cm of her illustration by 2 to accomplish the exact size in m. So, in another direction around, they just have to divide the value by 2, instead of the divide from reality for drawing. So if the actual worth is 5m, it ought to be \(\frac{5}{2} = 2.5 \ cm\) in its width.

If all the data points fall on the least-squares regression line in simple linear regression this is indication of overfitting. The correct answer is E. None of the above statements are true.

In simple linear regression, if all the data points fall exactly on the least-squares regression line, it means that the regression model perfectly explains the relationship between the independent variable and the dependent variable. However, this scenario is highly unlikely in practice and is often an indication of overfitting.

Here's a breakdown of each statement:

A. F-statistic = 0: The F-statistic is used to test the overall significance of the regression model. If all data points fall on the regression line, it suggests a perfect fit, and the F-statistic would be large rather than zero.

B. MS(Regression Model) = 100%: MS stands for mean square, and this statement implies that all the variation in the dependent variable can be attributed to the regression model. However, in reality, there is typically some degree of error or residual variation that cannot be explained by the model.

C. SS(Total) = 0: SS stands for sum of squares, and SS(Total) represents the total sum of squares of the dependent variable. If all data points fall on the regression line, it would imply that there is no variation in the dependent variable, which is highly unlikely.

D. SS(Regression Model) = SS(Total): SS(Regression Model) represents the sum of squares explained by the regression model. If all data points fall on the regression line, it implies that the regression model perfectly explains all the variation in the dependent variable. However, in practice, there is typically some residual variation that cannot be explained by the model.

Therefore, none of the statements mentioned are true when all the data points fall on the least-squares regression line.

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Answer:

3 ounces

Step-by-step explanation:

Answer:

By solving x and y

Step-by-step explanation:

Answer:

x ≈ 39.2 , y ≈ 34.3

Step-by-step explanation:

Using the sine and tangent ratios in the right triangle

sin29° = \(\frac{opposite}{hypotenuse}\) = \(\frac{AC}{AB}\) = \(\frac{19}{x}\) ( multiply both sides by x )

x × sin29° = 19 ( divide both sides by sin29° )

x = \(\frac{19}{sin29}\) ≈ 39.2 ( to 1 dec. place )

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

tan29° = \(\frac{opposite}{adjacent}\) = \(\frac{AC}{BC}\) = \(\frac{19}{y}\) ( multiply both sides by y )

y × tan29° = 19 ( divide both sides by tan29° )

y = \(\frac{19}{tan29}\) ≈ 34.3 ( to 1 dec. place )

The value of (a - b) ∪ c is set {1, 2, 3, 5, 7, 8} and the value of a ∩ b ∩ c is set {7}.

To find (a - b) ∪ c, we first need to determine the difference between sets a and b (a - b).

In this case, a = {1, 3, 5, 7, 9} and b = {6, 7, 8, 9}. The difference is the set of elements that are in a but not in b, which gives us {1, 3, 5}.
Next, we find the union between this result and set c.

Set c is given as {2, 3, 5, 7, 8}. The union is the set of elements that are present in either (a - b) or c or both.

In this case, the union is {1, 2, 3, 5, 7, 8}.

So, (a - b) ∪ c = {1, 2, 3, 5, 7, 8}.
To find a ∩ b ∩ c, we need to find the intersection of all three sets, which means identifying the elements that are present in all three sets. In this case, a = {1, 3, 5, 7, 9}, b = {6, 7, 8, 9}, and c = {2, 3, 5, 7, 8}.
Comparing the elements, we can see that the only element present in all three sets is 7.

Therefore, a ∩ b ∩ c = {7}.

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The combination of the expression is \(5\sqrt{5} + \sqrt{3} + 10\)

We are given that;

The expression= 1/3√45- 1/2√12 +√20+2/3√27 3 + 4 + 3

To combine the expressions, we need to simplify the radicals and find the common factors.

Rewrite the radicals as fractional exponents

= \(\frac{1}{3}(45)^{\frac{1}{2}} - \frac{1}{2}(12)^{\frac{1}{2}} + (20)^{\frac{1}{2}} + \frac{2}{3}(27)^{\frac{1}{2}} + 3 + 4 + 3\)

Simplify the coefficients and combine the like terms:

\(=5\sqrt{5} + \sqrt{3} + 10\)

Therefore, the expression will be \(5\sqrt{5} + \sqrt{3} + 10\).

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Answer:

5 buses

Step-by-step explanation:

Total number of 6th graders going for the field trip = 184

Step 1

Divide the total number of students by 4

184/4 = 46

We have 46 groups of six graders.

Step 2

There needs to be one chaperone for every four students.

We have 46 groups of six graders

This means there is need for 1 chaperone per group

Hence, we have 46 chaperones

Step 3

Find total number of people going for the field trip

184 students + 46 chaperones

= 230 people

Step 4

If a bus can hold 50 people, how many buses will they need for the trip?

50 people = 1 bus

230 people = ??y

50 × y = 230

y = 230/50

y = 4.6 buses

Hence, 4.6 buses would be needed but since we can't have 0.6(part) of a bus figuratively, as buses come in whole numbers, we approximate to the nearest whole number

= 4.6 ≈ 5

Therefore, they would be needing 5 buses for the trip.

5 buses

Step-by-step explanation:

i got 10 out of 10

An equation to model the relationship between the number of weeks, x, and the number of site visits, f(x) is 4800 = a(1.5)^x.

He found that before launching the new marketing plan, there were 4,800 visits.

Over the course of the next 5 weeks, the number of site visits increased by a factor of 1.5 each week.

Over the course of the next 5 weeks, initial visitor at x = 0, 4800

Increasing factor = 1.5

Equation of the model is given as:

f(x) = a(b)^x

From the question b = 1.5

Now the equation of model is:

f(x) = a(1.5)^x

At x = 0, f(x) = 4800

Now the equation of the model is:

4800 = a(1.5)^x

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Answer:

(14, 5)

Step-by-step explanation:

1. substitute- (x,y)=the original coordinates (9,9) right?

2. So no you want to do x, you have 9 and if you are moving right 5 units it'll be 9+5 because x is left to right on a graph.

9+5=14 therefore (14,y)

3. Now you do y, y is up and down. So you want to go down 4, you subtract 4 from 9 giving you five. Now you have (14,5)

Hope I could help! :)

Answer:

y = x + 1.8

Step-by-step explanation:

In conclusion, to compute the chi-square value, we need to know the number of categories and use the appropriate formula or table to find the critical value. The degrees of freedom (df) will be equal to the number of categories minus one (df = k-1).

In the given question, we need to compute the chi-square value to determine the upper bound of the interval. The chi-square value depends on the degrees of freedom (df). To calculate it, we need to know the significance level (α) and the number of categories (k).

Since the question does not provide information about the number of categories, we cannot determine the exact degrees of freedom. However, we can assume that the number of categories is given, and proceed accordingly.

Assuming k is the number of categories, the degrees of freedom (df) will be (k-1).

For example, if there are 5 categories, the degrees of freedom will be (5-1) = 4.

The chi-square value is computed using a chi-square distribution table or a calculator. By using the significance level (α) and the degrees of freedom (df), we can determine the critical value.

In conclusion, to compute the chi-square value, we need to know the number of categories and use the appropriate formula or table to find the critical value. The degrees of freedom (df) will be equal to the number of categories minus one (df = k-1).

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Answer:

Step-by-step explanation:

you need to add all 5 numbers together, then divide my 5. the answer should be 89.6

Answer:

-7 is the answer for the question

The equation of the line in slope intercept form is y = -2.65x + 25.

The x-intercept means when the gift card has a balance of zero dollars.

The equation of a line can be represented in slope intercept form as follows:

y = mx + b

where

Therefore. let's find the slope of the line using (2, 19.7) and (4, 14.4).

Hence,

m = slope = 14.4 - 19.7 / 4 - 2

m = - 5.3 / 2

m = - 2.65

Therefore, let's find the y-intercept using (2, 19.7).

y = -2.65x + b

19.7 = -2.65(2) + b

b = 19.7 + 5.3

b = 25

Therefore, the equation of the line is y = -2.65x + 25.

The x-intercept is the value of x when y = 0.

Hence,

0 = -2.65x + 25

-25 = -2.65x

x = -25 / -2.65

x = 9.4

The x-intercept means the gift card has zero balance. At this point the medium cup of coffee is 9.4 .

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its a shirt................

Answer:

a Shirt

Step-by-step explanation:

of course

Step-by-step explanation:

1100/22 = 3600/x

x = 3600 * 22 / 1100

x = 72

answer is 72 attendees

Answer:

The answer for Length is D

110m

Step-by-step explanation:

P=2L+2W

L=20+W

400=2(20+W)+2W

400=40+2W+2W

C.L.T

400-40=4W

360=4W

divide both sides by 4

4W/4=360/4

W=90m

L=20+W

L=20+90

L=110m

The height of Jeremy is 159 cm.

To find the height of Jeremy:

So,

Then, Jeremy = 135 + 24 = 159 cm.

Therefore, the height of Jeremy is 159 cm.

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Answer:

8 in

...............

...........

Answer: I just took the test so the answer would be...the volume of the cylinder is about 25 cubic inches greater than the volume of the cone

Step-by-step explanation: hope this helped thx for the points :D

Answer:

  30 minutes

Step-by-step explanation:

You want to know the number of minutes it will take Bob, who is starting 1 mile behind John, to catch up to John if Bob and John are walking the same direction at 5 mph and 3 mph, respectively.

The distance that needs to be closed between the two walkers is 1 mile. The difference in their walking speeds is 5 -3 = 2 mph. This means the distance will be closed in ...

  (1 mi)/(2 mi/h) = 1/2 h = 30 minutes

It will take 30 minutes for Bob to catch up to John.

__

Additional comment

We can graph their locations east of where John starts. The graphs of their positions intersect at (hours, miles) = (0.5, 1.5). That is, Bob will cover 2.5 miles in the 1/2 hour it takes him to catch John, who will have covered 1.5 miles in that time.

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