Does the residual plot show that the line of best fit is appropriate for the data?

Answer:

37.33 mph

Step-by-step explanation:

calculator soup app is good for this type of problem.

The rate when expressed in miles per hour gives us;

37.33 miles per hour

We are given;

28 miles in 3/4 hour

This means that a distance of 28 miles is covered in every 3/4 hour.

Now, we want to express it as a rate in miles per hour

Miles per hour simply means speed.

We know that formula for speed is;

Speed = distance/time

Speed = 28 miles/(3/4 hour)

Speed = (28 × 4)/3

Speed = 37.33 miles per hour

Thus, the rate when expressed in miles per hour is 37.33 miles per hour

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Answer:

  AC = 55°

Step-by-step explanation:

In this geometry, arcs AC and BD have the same measure. The sum of the parts of arc CD will total the measure of CD.

  AC + AB + BD = CD

  2AC +80 = 170

  AC = 110/2 = 55

The measure of arc AC is 55°.

Answer:

AC = 55°

Step-by-step explanation:

because the measure is part of CD. Hope this helps!

a. The balanced equation for the reaction KMnO4 + HCl → KCl + MnCl2 + H2O + Cl2 is: 2KMnO4 + 16HCl → 2KCl + 2MnCl2 + 8H2O + 5Cl2

b. The balanced equation for the reaction C2H6O2 + O2 → CO2 + H2O is:

C2H6O2 + 3O2 → 2CO2 + 3H2O

In the given chemical equations, the goal is to balance the equations by ensuring that the number of atoms of each element is the same on both sides of the equation.

a. To balance the equation KMnO4 + HCl → KCl + MnCl2 + H2O + Cl2, we start by balancing the elements individually. There is one potassium (K) atom on the left side and one on the right side, so the potassium is already balanced. Next, there is one manganese (Mn) atom on the left side and two on the right side, so we need to multiply KMnO4 by 2 to balance the manganese. Moving on to chlorine (Cl), there are four chlorine atoms on the right side but only one on the left side. To balance chlorine, we need to multiply HCl by 8. Finally, we balance the hydrogen (H) and oxygen (O) atoms by adjusting the coefficients of the water molecule (H2O). After balancing all the elements, we obtain the balanced equation 2KMnO4 + 16HCl → 2KCl + 2MnCl2 + 8H2O + 5Cl2.

b. To balance the equation C2H6O2 + O2 → CO2 + H2O, we start by balancing carbon (C). There are two carbon atoms on the left side, so we need to balance it by multiplying CO2 by 2. Next, we by adjusting the coefficient of the water molecule (H2O) to 3. Finally, we balance oxygen (O) by adjusting the coefficient of the oxygen molecule (O2) to 3. After balancing all the elements, we obtain the balanced equation C2H6O2 + 3O2 → 2CO2 + 3H2O.

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Answer:

I think the answers is 27, just add all of those squares.

Answer:

-17(-)-18=-17+18=1 or -17+18=1

Step-by-step explanation:

if -17 is one number you Add 18.

-17(-)-18=-17+18=1

Answer:

You can either use substation or you can use elimination on both of the problems

Step-by-step explanation:

Answer:

The problem seems to be incomplete, after an online search I couldn't find the complete question, to be able to solve the question, I will assume that the known measure is the width W.

For a rectangular prism of length L and width W, the surface area is calculated as:

S = W*L

For the assumption we took, we have:

W = 39.5ft

And we also know that S = 158 ft^2

And we want to find the missing dimension, in this case is L, then we need to solve:

158 ft^2 = W*L

We just need to divide both sides by the known measure, W

We get:

(158 ft^2)/W = L

So you just need to replace the known value, and can find the missing one.

answer:

y=5x

step-by-step explanation:

use a graphing calculator. go to STAT then EDIT. in L1 put 3 and 7. in L2 put 15 and 35 (so they line up horizontally with 3 and 7). then 2ND QUIT. then STAT > CALC (4). then VARS > Y-VARS (1) (1). then enter.

y=mx+b

y= 5x

or be like me and realize at the end that i was slow and could have just (15/3) and (35/7). do the calculator thing in the future

The value Newton's interpolating polynomial P 2(x) of f(x) of f[x0, x1] is -4.

In Newton's interpolating polynomial, the coefficients of the linear terms (x) correspond to divided differences. The divided difference f[x0, x1] represents the difference between the function values f(x0) and f(x1) divided by the difference between x0 and x1.

Since we are given P2(x) = \(x^2 + x + 2\), we can substitute the given x-values into P2(x) to find the corresponding function values.

For x0 = -3, substituting into P2(x) gives f(-3) = \((-3)^2 + (-3) + 2 = 12\).

For x1 = 1, substituting into P2(x) gives f(1) = \((1)^2 + (1) + 2 = 4\).

To calculate f[x0, x1], we need to find the divided difference between these two function values: f[x0, x1] = (f(x1) - f(x0)) / (x1 - x0) = (4 - 12) / (1 - (-3)) = -8 / 4 = -2.

Therefore, f[x0, x1] = -2, and the correct answer choice is b. -4.

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13 5/8 + 7/8 = 14 1/2

5/8 + 7/8 = 1 4/8 = 1 1/2

1 1/2 + 13 = 14 1/2

Answer:

2

Step-by-step explanation:

Q3-Q1= IQR

17-15=2

Answer:

Step-by-step explanation:

if A=1/2 bh

to solve for b

2A=bh

b=2A/h

Answer:

Step-by-step explanation:

To the 4th power means that all the items in the parenthesis is mulitplied 4 times

(9m)⁴

=9*9*9*9*m*m*m*m*m  or

= (9m)(9m)(9m)(9m)

Answer:

The answer is -4 :)

Step-by-step explanation:

Answer:

-20 divided by 5 = -4

Step-by-step explanation:

Write two ratios equal to each other :

12/5 = 8/x(second speed)

Cross multiply:

12x = 40

Divide both sides by 12:

X = 3.333 or 3 1/3 km/h

second speed = 3.33 ( as a decimal) or 3 1/3 ( as a fraction) km/h

The domain of the function \(f(x) = \sqrt{\frac{1}{3}x + 2\) is (d) x  ≥ -6

From the question, we have the following parameters that can be used in our computation:

\(f(x) = \sqrt{\frac{1}{3}x + 2\)

Set the radicand greater than or equal to 0

So, we have

1/3x + 2 ≥ 0

Next, we have

1/3x  ≥ -2

So, we have

x  ≥ -6

Hence, the domain of the function is (d) x  ≥ -6

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Answer:xxxxxxxxx

ggggggggxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxx

Step-by-step explanation:

Answer:

I would say 6m because i measured the side that is labeled 6m, and DE is also 6m.

( I hope I'm right ^^)

( I hope this helps ^^)

The coupon that gives the lower price, based on the percentage discounts is Coupon B.

To find the coupon that gives the lower price, apply the coupons to the price of the bicycle to see which value would be less after the coupon is applied.

Coupon A value after discount is:

= 81 x ( 1 - discount)

= 81 x ( 1 - 20%)

= $64.80

Coupon B value after discount is:

= 81 - 19

= $62

The coupon that gives the lower price is Coupon B.

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The variance of the sample means that is found in the sample distribution that we have here is 0.3333

This is the measure of dispersion that is used to show the spread of the data that is contained in a data set

The formula that we are to use here is given as

b² - a² / b - a

we have to put the values in this question

(14 - 2)² / 14 - 2

= 144 / 12

= 12

From here we would have to solve for the variance.

The variance = 12 / 35

= 0.3333

Hence the variance that we have in the question is equal to 0.3333

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Therefore, the correct answer is (A).

To parameterize the portion of the plane

\(�+�+�=\)

4

x+y+z=4 that lies in the first octant, we need to find expressions for

\(�x, �y, and �\)

z in terms of parameters

\(�u and �v\)

that satisfy the given conditions.

In the first octant, all three coordinates,

\(�x, �y, and �z,\)

are positive.

Let's consider the parameterization options provided:

\((A) (�,�,4−�−�)(u,v,4−u−v), 0≤�≤10≤u≤1, 0≤�≤10≤v≤1\)

This parameterization satisfies the equation of the plane

\(�+�+�=4x+y+z=4, and the conditions �≥0x≥0, �≥0y≥0, �≥0z≥0\) for the first octant. So, option (A) is a valid parameterization.

To confirm, let's substitute the expressions for

\(�x, �y, and �\)

z into the equation of the plane:

\(�+�+�=�+�+4−�−�=4x+y+z=u+v+4−u−v=4\)

The equation holds true, so option (A) is a valid parameterization for the portion of the plane

\(�+�+�=4x+y+z=4\)that lies in the first octant.

Therefore, the correct answer is (A).

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Answer:

y= -3/5x + 2

Step-by-step explanation:

The equation or system of equations that can be used to determine the number of cats and dogs Bea has in her pet shop is d = 2c - 5 d + 3 = c + 3. We can solve the system of equations using substitution and plug it back into either equation to find the value of d, which is 8 cats and 10 dogs.

The equation or system of equations that can be used to find the number of cats and dogs Bea has in her pet shop is:

d = 2c - 5

d + 3 = c + 3

No, Bea's Pet Shop could not initially have 15 cats and 20 dogs. This is because the equation or system of equations states that the number of dogs is five less than twice the number of cats, which would mean that 15 cats would result in 25 dogs, which is not equal to 20.

To determine algebraically the number of cats and the number of dogs Bea initially had in her pet shop, we can use the equation or system of equations that we previously created.

d = 2c - 5

d + 3 = c + 3

We can solve the system of equations using substitution:

d = 2c - 5

d + 3 = c + 3

d + 3 = c + 3

d = c + 3

2c - 5 = c + 3

2c = c + 8

c = 8

Once we determine the value of c, we can plug it back into either equation to find the value of d:

d = 2(8) - 5

d = 15 - 5

d = 10

Therefore, Bea initially had 8 cats and 10 dogs in her pet shop.

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The complete question is: At Bea's Pet Shop, the number of dogs, d, is initially five less than twice the number of cats, c. If she decides to add three more of each, the ratio of cats to dogs will be – Write an equation or system of equations that can be used to find the number of cats and dogs Bea has in her pet shop. Could Bea's Pet Shop initially have 15 cats and 20 dogs? Explain your reasoning. Determine algebraically the number of cats and the number of dogs Bea initially had in her pet shop.​

Thus we only take the positive root:x = 27/8 = 3.375Answer: 3.375 feet.

The problem states that a rectangular garden that measures 50 feet wide and 45 feet long is enclosed by a uniform width of x feet paved path. To solve the problem,

we can use the formula of the combined area of the garden and the paved path and equate it to 2646 square feet. The combined area is computed by adding the area of the garden and the area of the paved path.

Garden area:Length of garden = 45 ftWidth of garden = 50 ftArea of garden = Length x Width= 45 x 50= 2250 square feet

Paved path:

If the garden has a uniform width of x feet paved path, then the width of the paved path would be x + 2x + x= 4x. The width is multiplied by 2 because there are two widths surrounding the garden.

Length of paved path = length of garden + 2 (width of paved path)= 45 + 2 (4x)= 8x + 45Width of paved path = width of garden + 2 (width of paved path)= 50 + 2 (4x)= 8x + 50

The area of the paved path is computed by subtracting the area of the garden from the combined area.Area of paved path = Combined area - Garden area2646 square feet

= (8x + 45) (8x + 50) - 2250= 64x² + 760x + 675

We then solve for the value of x by factoring the quadratic equation.2646 square feet = 64x² + 760x + 6752646 - 2646

= 64x² + 760x + 675 - 264664x² + 760x - 1971

= 0(8x - 27) (8x + 73) = 0

The value of x cannot be negative,

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The number that fills in the blank to make a perfect square trigeminal of the given expression is 81.

Given expression:

\(x^2+18x +\) _

We have to find the number that will fill the blank.

A perfect square trigeminal is an algebraic expression that is of the form ax 2 + bx + c, which has three terms. It is obtained by the multiplication of a binomial with itself.

Let the number that fills the blank be a.

Hence, the expression becomes:-

\(x^2+18x +a\)

To make it a perfect square geminal, the expression must be a perfect square of a binomial.

We know that,

\((x+y)^2=x^2+2xy+y^2\)

Comparing it with given expression, we get

2xy = 18x and,

\(y^2=a\)

Hence,

y = 9

a = \(9^2\) = 81

Hence, the number that fills the blank is 81.

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The slope of the equation c = 0.50t is 0.50. It represents the additional cost per minute of computer usage at the internet cafe.

In the given equation c = 0.50t, c represents the total cost of using the computer for t minutes. The coefficient 0.50 represents the price per minute of computer usage at the internet cafe.

The slope of the equation is equal to this coefficient, which is 0.50.

Interpretation: The slope of 0.50 indicates that for every additional minute of computer usage, the cost increases by $0.50. This means that the internet cafe charges $0.50 per minute for using the computer.

The slope provides a measure of the rate of change of the total cost with respect to the number of minutes used. In this context, it shows the additional cost incurred for each additional minute of computer usage at the cafe.

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Answer:

6 ounces of red beads

6 ounces of gold beads

Step-by-step explanation:

hmmmmmmmmmmmmm

Answer:

6 oz of bot red and gold beads

Step-by-step explanation:

two angles that add up to 90 degrees are called complementary angles.