negative 2 times x minus 14 greater than negative 4 plus 3 times x

Answer/Step-by-step explanation:

Travis =Divide 12/0.75 = 16

Heidi = Divide 11/0.8=13.75

16-13.75=2.25

Hence, Heidi Drove faster and faster by 2.25

Answer: Travis, he rode 9 miles

Step-by-step explanation: This was my answer on my end.

Answer: B. 4

Sorry for the really late answer

Step-by-step explanation:

If the radius of a right circular cylinder is multiplied by k, and its height does not change, then the volume of the cylinder is multiplied by k². The radius of can Q is twice as great as the radius of can p. Therefor, the volume of can Q is 2², or 4 times larger than the volume of can p.

Answer:

The length and breadth are 14 cm and 10 cm

The solution to the quadratic equation 7x² + 10 = -127 is \(x = -\frac{i\sqrt{959} }{7} ,x = \frac{i\sqrt{959} }{7}\).

Given the quadratic equation in the question:

7x² + 10 = -127

To solve for x, first subtract 10 from both sides of the equation:

7x² + 10 = -127

7x² + 10 - 10  = -127 - 10

7x²  = -127 - 10

7x²  = -137

Divide both sides by 7:

7x²/7  = -137/7

x² = -137/7

Since the right-hand side of the equation is negative, the equation has no real solutions.

However, if we allow complex numbers, we can take the square root of both sides:

x = ±√( -137/7 )

\(x = -\frac{i\sqrt{959} }{7} \\and\\x = \frac{i\sqrt{959} }{7}\)

Therefore, the solutions \(x = -\frac{i\sqrt{959} }{7} ,x = \frac{i\sqrt{959} }{7}\).

Learn more about quadratic equations here: https://brainly.com/question/4038687

#SPJ1

The perimeter of a shape is the sum of its side lengths

The expressions for the perimeter of the frame are 4(l + 2) and 4l + 8

The side length of the frame is given as l

So, the perimeter of the frame is

:\(P = 4l\)

When 2 inches are added to each length, the perimeter of the frame becomes

\(P =4(l + 2)\)

Expand

\(P =4l + 8\)

Hence, the expressions for the perimeter of the frame are 4(l + 2) and 4l + 8

Read more about perimeter at:

https://brainly.com/question/24571594

Answer:

42

Step-by-step explanation:

Answer:

the answer is 42

Step-by-step explanation:

becuase in decimal 5.25 divided by .125 is 42

Answer:

resistant

because the median is not affected by the size of an outlier and does not change even if a particular outlier is replaced by an even more extreme value, we say the median is resistant to outliers.

Answer:

23716 cubic feet

Step-by-step explanation:

7^2=49

11^2=121

2^2=4

49x121=5929

2929x4=23716

Answer:

(2, 7 )

Step-by-step explanation:

y = 3x + 1 → (1)

5x = y + 3 → (2)

substitute y = 3x + 1 into (2)

5x = 3x + 1 + 3

5x = 3x + 4 ( subtract 3x from both sides )

2x = 4 ( divide both sides by 2 )

x = 2

substitute x = 2 into (1)

y = 3(2) + 1 = 6 + 1 = 7

solution is (2, 7 )

The value of (f-¹) (5) is 0.714.

The given function is f(x) = x5x3 + 5x.

To find (f-¹) (5), we can follow the steps given below.

Step 1: We substitute y for f(x). y = x5x3 + 5x

Step 2: We interchange x and y. x = y5y3 + 5y.

Step 3: We solve the above equation for y. y5y3 + 5y - x = 0.

This is a quintic equation, and its solution is not possible algebraically.

Hence we use numerical methods to find the inverse function.

Step 4: We use Newton's method to find the inverse function.

The formula for Newton's method is given by x1 = x0 - f(x0)/f'(x0).

Here, f(x) = y5y3 + 5y - x and f'(x) = 5y4 + 15y2.

Step 5: We use x0 = 1 as the initial value. x1 = 1 - (y5y3 + 5y - 5) / (5y4 + 15y2). x1 = 0.714.

Step 6: The value of (f-¹) (5) is x1.

Therefore, (f-¹) (5) = 0.714. The value of (f-¹) (5) is 0.714.

To know more about value visit:

brainly.com/question/24600056

#SPJ11

The Maclaurin series of \(xe^{8x}=\frac{\sum^\infty_0(8^n * x^n)}{n!}\)

What is the Maclaurin series?

The Maclaurin series is a special case of the Taylor series expansion, where the expansion is centered around x = 0. It represents a function as an infinite sum of terms involving powers of x. The Maclaurin series of a function f(x) is given by:

\(f(x) = f(0) + f'(0)x +\frac{ (f''(0)x^2}{2!} + ]\frac{(f'''(0)x^3)}{3! }+ ...\)

To find the Maclaurin series of the function f(x) = \(xe^{8x}\), we can start with the general formula for the Maclaurin series expansion:

\(f(x) = \frac{\sum^\infty_0(f^n(0) * x^n) }{ n!}\)

where\(f^n(0)\) represents the nth derivative of f(x) evaluated at x = 0.

Let's determine the appropriate series for the function \(f(x) = xe^{8x}\) from the given options:

a) \(\frac{\sum^\infty_0(8^n * x^{n+1})}{n!}\)

b) \(\frac{\sum^\infty_0(x^n )} {8^n*n!}\)

c)\(\sum^\infty_0(8^n * x^n)/n!\)

d)\(\frac{\sum^\infty_0(x^n )} {n!}\)

Comparing the given options with the general formula, we can see that option (c) matches the required form:

f(x) = \(=\frac{\sum^\infty_0(8^n * x^n)}{n!}\)

Therefore, the Maclaurin series of \(f(x) = xe^{8x}\) can be written as:

f(x) = \(=\frac{\sum^\infty_0(8^n * x^n)}{n!}\)

Option (c) is the correct series to represent the Maclaurin series of \(xe^{8x}.\)

To learn more about the Maclaurin series from the link

https://brainly.com/question/28170689

#SPJ4

The Atlantis water slide measures 70.69 feet in length when the slide's base is 37 feet from the pool and it is 60 feet tall.

The Pythagorean Theorem, often known as the Mathematicians, is the fundamental Euclidean geometry relation between the three sides of a right triangle. The area of a cube with the velocity vector side equals the sum of the areas of polygons with the other two sides, according to this rule. The Pythagorean Theorem says that the square that spans a right triangle's hypotenuse opposite the perfect distance equals a sum of the squares that span its sides. It is sometimes written as the basic algebra notation a2 + b2 = c2.

given

According to Pythagoras's Theorem, which states that

c2 = a2 + b2

c2 = 3600 + 1369

c2 = 4969

c = 70.49, the water slide in Atlantis is 60 feet high and has a base that is 37 feet from the pool.

The Atlantis water slide measures 70.69 feet in length when the slide's base is 37 feet from the pool and it is 60 feet tall.

To know more about Pythagorean theorem visit:

https://brainly.com/question/14930619

#SPJ1

Answer:

Step-by-step explanation:

1. HI // KL , J is midpoint of  HL     1. Given

2. ∠IHJ ≅ ∠JLK                             2. Alternate interior angles are congruent

3. ∠IJH ≅ ∠KJL                              3. Vertically opposite angles

4. HJ ≅   JL                                     4. Given

5. ΔHIJ ≅ ΔLKJ                              5.  A S A congruent

                                                             (Angle Side Angle)

The probability is 1/56, or approximately 0.0179. To calculate the probability that a randomly selected customer ordered wine and pasta, we need to determine the number of customers who ordered wine and pasta,and divide it by the total number of customers.

From the given data, we can see that there are 10 customers who ordered wine and 1 customer who ordered pasta.

Total number of customers = 3 + 1 + 3 + 12 + 5 + 16 + 3 + 10 + 3 = 56

Therefore, the probability that a randomly selected customer ordered wine and pasta is:

P(Wine and Pasta) = Number of customers who ordered wine and pasta / Total number of customers

                 = 1 / 56

So, the probability is 1/56, or approximately 0.0179.

To know more about Probability visit-

brainly.com/question/31828911

#SPJ11

Answer:

jenny earned a total of $103.05.

Step-by-step explanation:

jenny charges 9.15 an hour to babysit todllers and 7.4 an hour to babysit school -aged children. if jenny babysat toddlers for 9 hours and school -aged childrenfor 6, she earned in all 83.55.

Answer:

what is it?

Step-by-step explanation:

Answer:

14

Step-by-step explanation:

The trapezoids are similar, so you need to find which sides allign with each other. It can be seen that among the paralel sides of the trapezoid, the longer ones will be similar by the factor of 2. So, 2*7=14

Answer:

14 feet

Step-by-step explanation:

Okay, here we have this:

Considering that a function is one-to-one if and only if no horizontal line intersects its graph more than once.

So, according with this we any horizontal line that is drawn on the line touches only one point on it, therefore the function is one to one.

The answer of the given question based on the code is , the output of the code will be: The root of x³ + 2x - 2 between 0 and 1 is 0.771

MATLAB code:
To show that `x³ + 2x - 2` has a root between 0 and 1 and,

to find the root to 3 significant digits using the Newton Raphson Method,

we can use the following MATLAB code:  

Defining the function

f = (x)x³ + 2*x - 2;

Plotting the function

f_plot (f, [0, 1]);

grid on;

Defining the derivative of the function

f_prime = (x)3*x² + 2;

Implementing the Newton Raphson Method x0 = 1;

Initial guesstol = 1e-4;

Tolerance for erroriter = 0; % Iteration counter_while (1)

Run the loop until the root is founditer = iter + 1;

x1 = x0 - f(x0)

f_prime(x0);

Calculate the next guesserr = abs(x1 - x0);

Calculate the error if err < tol

Check if the error is less than the tolerancebreak;

else x0 = x1;

Set the next guess as the current guessendend

Displaying the resultfprintf('The root of x³ + 2x - 2 between 0 and 1 is %0.3f\n', x1));

The output of the code will be: The root of x³ + 2x - 2 between 0 and 1 is 0.771

To know more about Newton Raphson Method visit:

https://brainly.in/question/17763377

#SPJ11

When you run the above code in MATLAB, it will display the root of x^3 + 2x - 2 to 3 significant digits.

MATLAB code:

Show that x^3 + 2x - 2 has a root between 0 and 1:

Here is the code to show that x^3 + 2x - 2 has a root between 0 and 1.

x = 0:.1:1;y = x.^3+2*x-2;

plot(x,y);

xlabel('x');

ylabel('y');

title('Plot of x^3 + 2x - 2');grid on;

This will display the plot of x^3 + 2x - 2 from x = 0 to x = 1.

Find the root to 3 significant digits using the Newton Raphson Method:

To find the root of x^3 + 2x - 2 to 3 significant digits using the Newton Raphson Method, use the following code:

format longx = 0;fx = x^3 + 2*x - 2;dfdx = 3*x^2 + 2;

ea = 100;

es = 0.5*(10^(2-3));

while (ea > es)x1 = x - (fx/dfdx);

fx1 = x1^3 + 2*x1 - 2;

ea = abs((x1-x)/x1)*100;

x = x1;fx = fx1;

dfdx = 3*x^2 + 2;

enddisp(x)

When you run the above code in MATLAB, it will display the root of x^3 + 2x - 2 to 3 significant digits.

To know more about MATLAB, visit:

https://brainly.com/question/30763780

#SPJ11

The value of x, rounded to the nearest tenth, is approximately 5.9.

What is sine function?
The sine function, denoted as sin(x), is a mathematical function that maps any angle x to a value between -1 and 1. It is defined as the ratio of the length of the side opposite a given angle in a right triangle to the length of the hypotenuse. In other words, for any acute angle in a right triangle, the sine of that angle is equal to the length of the side opposite the angle divided by the length of the hypotenuse.

According to the question :
we can determine the length of the side opposite the 36° angle using the trigonometric ratio for sine:

sin(36°) = opposite/hypotenuse

Assuming the side opposite the 36° angle is x, we have:

sin(36°) = x/10

Solving for x, we get:

x = 10 sin(36°) ≈ 5.9

Therefore, the value of x, rounded to the nearest tenth, is approximately 5.9.

To know more about sine function visit:
https://brainly.com/question/21087026
#SPJ1

Q) Find the value of x, rounded to the nearest tenth. 10 36° in a right angle triangle ?

Answer:

B yes, because it pases the vertical line test

Answer:

The answer to this question is the thrid option: 5/6 20/24 40/48

Step-by-step explanation:

10/12=5/6

5/6=5/6

20/24=5/6

40/48=5/6

Answer:

7

Step-by-step explanation:

The equation that best represents the relationship between age and the amount of weight lost in this group of women is "Weight loss 19.75 - 0.94 Age."The correct answer is option B.

Based on the given scenario, the goal is to investigate the relationship between age and the amount of weight lost in a group of 45 women participating in a 12-week diet program.

To determine the correct linear regression equation, we need to analyze the data provided.

Since we don't have access to the actual data, we can't directly verify the correct equation. However, we can make an educated guess based on the options provided.

The correct linear regression equation would be the one that represents the relationship between the dependent variable (weight loss) and the independent variable (age).

Looking at the options, we can eliminate options C and D as they represent age as the dependent variable, which is incorrect in this context.

Now, let's compare the remaining options A and B. Both equations have weight loss as the dependent variable, which aligns with our investigation.

The only difference between the two options is the coefficient for age.

To determine the correct equation, we need to consider the relationship we expect to find between age and weight loss. If we assume that as age increases, the amount of weight lost decreases, we would expect a negative coefficient for age.

Based on this assumption, option B with "Weight loss 19.75 - 0.94 Age" seems more plausible. It suggests that as age increases, the amount of weight lost decreases by 0.94 units.

Option A with "Weight loss 19.75 - 0.52 Age" indicates a less steep decrease in weight loss with age.

In conclusion, the equation that best represents the relationship between age and the amount of weight lost in this group of women is B: "Weight loss 19.75 - 0.94 Age."

However, without access to the actual data, it is important to note that this is a hypothetical analysis based on the given information.

For more such questions weight,click on

https://brainly.com/question/29892643

#SPJ8

The probable question may be:
You want to investigate whether there is a relationship between age and amount of weight lost in agroup of 45 women participating in a 12-week diet program. The women's data is recorded. Click here to open this data in StatCrunch Which equation below represents the correct linear regression equation for this data?

A. Weight loss 19.75-0.52 Age

B. Weight loss 19.75-0.94 Age

C. Age 33.93+0.52 Weight loss

D. Age-33.93-0.94 Weight loss

Answer:

-1

Step-by-step explanation:

To find the slope given two points use the formula

m = ( y2-y1)/(x2-x1)

   = ( 8-2)/(4-10)

    = 6/-6

   = -1

Answer:

x = 2

Step-by-step explanation:

16 + b^2 = 20

b^2 = 4

b = 2

The amount of water at the end of the fourth hour is 27000 gallons.

Given that :

A water tank is emptied at a constant rate.

Let x be the amount of water at first.

Amount of water at the end of first hour = 36000 gallons

Amount of water after the sixth hour = 21000 gallons.

The relation will be linear since the rate is constant.

Rate = (21000-36000) / (6 - 1)

       = -3000

Amount of water after fourth hour = 36000 + (-3000×3)

                                                         = 27000 gallons

Hence the amount of water after the fourth hour is 27000 gallons.

Learn more about Rate here :

https://brainly.com/question/18119590

#SPJ12

The verdict which is true about the radius of all three arcs when constructing an angle bisector is; - No; the second two arcs must have the same radius but it can be different from the first.

The correct answer option is option C.

Recall that an angle at point, O is formed by the intersection of two lines; say lines A and B.

Hence, in a bid to draw the Angie bisector of the angle; AOB, three arcs are needed.

The first arc is an arc drawn by placing the pivot of the compass at the point, O and drawing an arc which intersects lines A and B. The radius of this first arc in discuss can be any value.

Subsequently, the other two arcs are propagated using the points of intersection of the first arc with both lines such that the two arcs intersect.

It is however noteworthy to know that these two arcs must have the same radius.

Ultimately, the second two arcs must have the same radius but it can be different from the first.

Read more on angle bisector;

https://brainly.com/question/24677341

#SPJ1

Answer:

C

Step-by-step explanation:

They are not proportional

If 3 pie cost $12, one pie will be $4

If 10 pie cost $25, then 1 pie is $2.5

$4 is not proportional to $2.5

Hence 12/3 is not proportional to 25/10

Answer:

For the first question, the probability of getting no tails in two coin flips is the probability of getting two heads, which is given in the table as 40/200 = 0.2, or 20%.

For the second question, we can use the slope formula:

slope = (y2 - y1)/(x2 - x1)

Plugging in the coordinates, we get:

slope = (-10 - (-1))/(3 - (-3)) = -9/6 = -3/2

So the slope of the line is negative three halves.

For the third question, the scatter plot points do not appear to lie on a perfectly straight line, but a line that fits the data could be drawn through points around (3,6) and (5,6). Therefore, the first graph (with a line drawn through about 3,6 and 5,6) shows a line on the scatter plot that fits the data.

For the fourth question, we can use the properties of similar triangles to find FD. The ratio of corresponding side lengths in similar triangles is equal. Therefore, we can write:

AB/DE = BC/EF = CA/FD

Plugging in the values, we get:

11/3.3 = 7.9/EF = 7.6/FD

Solving for FD, we get:

FD = (7.6*3.3)/11 = 2.28 (rounded to two decimal places)

Therefore, FD is 2.28 units long.

16.5

110110/6666=16.5