What is the line parallel to y = 3x + 5 that passes through the point (-8,4) in SLOPE INTERCEPT FORM

Answer:

Step-by-step explanation:

Lucy has $7 less than Kristine and $5 more than Nina together, the three have $35. Lucy has $11.

Let's denote the amount of money that Kristine has as K, the amount of money that Lucy has as L, and the amount of money that Nina has as N.

According to the given information, we can form two equations:

Lucy has $7 less than Kristine: L = K - 7

Lucy has $5 more than Nina: L = N + 5

We also know that the three of them have a total of $35: K + L + N = 35

We can solve this system of equations to find the values of K, L, and N.

Substituting equation 1 into equation 3, we get:

K + (K - 7) + N = 35

2K - 7 + N = 35

Substituting equation 2 into the above equation, we get:

2K - 7 + (L - 5) = 35

2K + L - 12 = 35

Since Lucy has $7 less than Kristine (equation 1), we can substitute K - 7 for L in the above equation:

2K + (K - 7) - 12 = 35

3K - 19 = 35

Adding 19 to both sides:

3K = 54

Dividing both sides by 3:

K = 18

Now we can substitute the value of K into equation 1 to find L:

L = K - 7

L = 18 - 7

L = 11

Finally, we can find the value of N by substituting the values of K and L into equation 3:

K + L + N = 35

18 + 11 + N = 35

N = 35 - 18 - 11

N = 6

Therefore, Lucy has $11.

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Answer:

(-2,4)

x = -2 y = 4

I hope this helps

Answer:

Step-by-step explanation:

The absolute value, as "distance from zero", is used to define the absolute difference between arbitrary real numbers, the standard metric on the real numbers. Complex numbers [ edit ] The absolute value of a complex number z {displaystyle z} is the distance r {displaystyle r} of z {displaystyle z} from the origin.

Answer:

absolute number

Step-by-step explanation:

The fastest change of f at the given point  and direction is 24√2.

The directional derivative of a function is defined as the rate of change of the function in a given direction. It gives us the rate at which the function changes when we move along a given direction.

Let's use this formula to find the directional derivative of the function g(x, y, z) = (x + 4y + 3z)3/2 in the direction of the vector v = 4j - k at the point (3, 4, 2).

∇g(x, y, z) = (3/2)(x + 4y + 3z)1/2 i + 6(x + 4y + 3z)1/2 j + (9/2)(x + 4y + 3z)1/2 k

∇g(3, 4, 2) = (3/2)(3 + 16 + 6)1/2 i + 6(3 + 16 + 6)1/2 j + (9/2)(3 + 16 + 6)1/2 k

= 53/2 i + 150 j + 53/2 k

The norm of v is given by |v| = |4j - k| = √(0 + 4^2 + (-1)^2) = √17(|v| represents mod of directional derivative)

Now we can find the directional derivative:

 ∂g/∂v = (∇g) · (v/|v|) = (53/2 i + 150 j + 53/2 k) · (4/√17 j - 1/√17 k)= (150(4/√17) - 53(1/√17))/2= (1417/√17)/2= 281.4

Therefore, the directional derivative of g(x, y, z) = (x + 4y + 3z)3/2 in the direction of the vector v = 4j - k at the point (3, 4, 2) is 281.4.

The maximum rate of change of the function f(x, y) = 3y2/x at the point (2, 8) and the direction in which it occurs can be found using the gradient of the function.

∇f(x, y) = -3y2/x2 i + 6y/x j

∇f(2, 8) = -3(8)2/22 i + 6(8)/2 j= -24i + 24j

The norm of the gradient is |∇f(2, 8)|

= √(24^2 + 24^2) = 24√2

The direction in which the maximum rate of change of the function occurs is given by the unit vector in the direction of the gradient:

(-24i + 24j)/||(-24i + 24j)|| = (-i + j)/√2

Therefore, the maximum rate of change of f at the point (2, 8) is 24√2, and the direction in which it occurs is (-2, 1).

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Answer: k=x^3-2x^2+2x-4/x

Step-by-step explanation: hope this helps!

The electric field at the point directly to the east of the negatively charged point is directed towards the charge, that is, west of the point.

The correct option is D.

A negative point charge has an electric field focused at it. Thus, the electric field at the point directly to the east of the negatively charged point is directed towards the charge, that is, west of the point.

The electric field is defined as that of the electric force per unit of charge. The direction of the field is assumed to represent the direction of the force it would impose on a positive test charge. The electric field radiates outward from the a positive charge and inward from a negative point charge.

The field lines never cross. The field lines lie parallel to the charge's surface. The quantity of charge and indeed the number of field lines are proportionate.

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I understand that the question you are looking for is:

What is the direction of the electric field directly to the east of an isolated negative point charge?

A. north

B. south

C. east

D. West

Answer:-10.6666666667

-10.66 to be exact

Step-by-step explanation:

Answer:

32

Step-by-step explanation:

d+4c

=8+4(6)

=8+24

=32

Answer:

32

Step-by-step explanation:

= d+4c

=8+4*6

=8+24

=32

Answer:

no photooooooooooooooooooooooooooooo

Answer:

no photttttoooooooo

Step-by-step explanation:

Answer: B

Step-by-step explanation:

The nonlinear regression model that specifies the given shape is option (d): yi = exp(β0 + β1x1i + β2x2i + ui).


Option (d) represents a nonlinear regression model where yi (the dependent variable) is equal to the exponential function of the sum of β0 (intercept), β1x1i (the coefficient of the first independent variable x1i), β2x2i (the coefficient of the second independent variable x2i), and ui (the error term).

The exponential function introduces nonlinearity into the model, allowing for curved or nonlinear relationships between the dependent variable and the independent variables. This form is suitable for capturing complex nonlinear shapes in the data. The other options either lack the necessary components (coefficients or nonlinearity) or provide a linear specification.

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Answer:

Hmmm, I do not know, but thanks for asking!

Step-by-step explanation:

...

Answer:

11.11 hours

Step-by-step explanation:

Average Bike Speed on Flat Terrain: 18 mph

So Colton can travel 200 miles in 200 / 18 = 11.11 hours

Answer:

The inequality that would represent the possible values for the number of hours lifeguarding, l, and the number of hours walking dogs, d, that Katherine can work in a given week is:

l + d ≤ 14

This is because the sum of the hours worked in both jobs should not exceed 14 hours.

Answer:

Step-by-step explanation:

We will approach this problem by doing a check

Say the diameter of a circle is 4 cm

Hence the radius is 3 cm

We know that the circumference is \(C=2\pi r\)

\(C=2*3.142*2= 12.57cm\)

The circumference is about 3 time bigger than the diameter

Let us try another case say the diameter is 6 cm

The radius is 3 cm

\(C=2*3.142*3= 18.85cm\)

For an exponential distribution of time (in years) until part failure for a certain car, probability that the time until the first critical-part failure is less than 1 year is equals to the 0.2684.

The exponential distribution is a type of continuous probability distribution that is used to measure the expected time for an event to occur. Formula for it is

\(f(X) = \lambda e^{-\lambda x} ; X>0\), where \(\lambda \)--> rate parameter

x --> observed value

We have time ( in year) first critical-part failure for a certain car is exponentially distributed. Let X be the time until the first critical part failure for a certain car. Now, X follows Exponential distribution with mean 3.2 years. The probability density function of X is \(f(X) = \lambda e^{ - \lambda x} ; X>0 \)

Here in this problem, \( \lambda =\frac{1}{3.2} \) = 0.3125

Using the formula the probability of X less than 1 is P(X< 1) = \(1 - e^{ - 0.3125×1}\)

P(X< 1 ) = 1 - 0.745189

P(X<1)= 0.2684

The required probability is 0.2684.

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Answer:

\(f'(x)= \frac{13}{(2x+3)^2}\\\)

Step-by-step explanation:

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

\(f'(x)=\frac{dy}{dx} = \frac{d}{dx}(\frac{3x-2}{2x+3})\\ f'(x)= \frac{(2x+3)\frac{d}{dx}(3x-2)-(3x-2)\frac{d}{dx}(2x+3) }{(2x+3)^{2} } \\f'(x)= \frac{(2x+3)(3)-(3x-2)(2)}{(2x+3)^{2} } \\\)

\(f'(x)= \frac{6x+9-6x+4}{(2x+3)^{2} }\\ f'(x)= \frac{13}{(2x+3)^2}\\\)

Answer: 8246

Step-by-step explanation:

(x+3) x (x+2)

Step-by-step explanation:

it should be *(x+3) x (x+2)* because area of rectangle = length x breadth

Answer:

6, 30

Step-by-step explanation:

Let the numbers be p and q

p = 2 × 3 × a

a = 1

p = 6

q = 2 × 3 × b

b = 5

q = 30

6 = 2 × 3

30 = 2 × 3 × 5

HCF = 2 × 3 = 6

LCM = 2 × 3 × 5 = 30

30/15 = 2

Answer: 6, 30

Answer:

48 miles

Step-by-step explanation:

Let's break this down...

Lola ran 6 miles and if Mackenize ran 4 times it means you need to multiply 6 by 4 which is 24, now the passage states that Sebastian ran 2 times more than Mackenize so you multiply 24 by 2 which is 48 so Sebastian ran 48 Miles

Hope this helps!

Answer:

The cost he will pay for 10 rides will be $70 and for r rides will be .

Step-by-step explanation:

The price of admission into the park is $20.The price for each ride is $5David takes 10 rides,So, the cost he will pay if he took 10 rides will be,If he had r rides,So, the cost he will pay if he took r rides will be,Therefore, the cost he will pay for 10 rides will be $70 and for r rides will be.

!!! hope this helps !!!!

Answer:

in total he would pay 60

Step-by-step explanation:

30 to get in and 30 to ride rides

a. The significance level is 0.05.

b. The p-value needs to be calculated using the provided sample data and a one-sample t-test.

c. The significance level of 0.05.

d. The conclusion will depend on the decision made in step c, either supporting the claim or stating insufficient evidence to support the claim, based on the results of the hypothesis test.

a. Null hypothesis (H₀): The population mean speed of all southbound cars on 1-280 near Cupertino, California is greater than or equal to 65 mph.

Alternative hypothesis (H₁): The population mean speed of all southbound cars on 1-280 near Cupertino, California is less than 65 mph.

Claim: The claim is that the population mean speed of all southbound cars is less than 65 mph.

Significance level: The significance level is 0.05.

b. Using a calculator, we can calculate the p-value for this one-sample t-test. We enter the given sample data (67, 66, 66, 62, 66, 59, 64, 63, 64, 74, 65, 72) and perform the one-sample t-test with the null hypothesis (mean ≥ 65 mph). The p-value is obtained from the calculator.

c. Based on the calculated p-value, we compare it to the significance level of 0.05. If the p-value is less than 0.05, we reject the null hypothesis. If the p-value is greater than or equal to 0.05, we fail to reject the null hypothesis.

d. The conclusion will be stated based on the decision made in step c. If the null hypothesis is rejected, we would conclude that there is sufficient evidence to support the claim that the population mean speed of all southbound cars is less than 65 mph.

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Answer:

The number of new street boards that can be put up will be 597.

Step-by-step explanation:

Since the muncipalicty has budgeted R80 000 for putting up new street name boards and the street name boards cost R134 each.

The number of new street boards that will be put up will be:

= 80000/134

= 597

The amount that will be left in the budget will be R2.

Answer:

multiply

Step-by-step explanation:

2345567 in the subtract 578431111

Answer:

B

Step-by-step explanation:

Answer:

my best guess would be B

Step-by-step explanation:

3.61 + 1.23 = 4.48

Answer: To apply l'Hospital's Rule, we need to take the derivative of the numerator and denominator separately with respect to θ.

Taking the derivative of the numerator:

d/dθ [1 - sin(θ)] = -cos(θ)

Taking the derivative of the denominator:

d/dθ [1 + cos(6θ)] = -6 sin(6θ)

Now we can apply l'Hospital's Rule by taking the limit of the ratio of the derivatives:

lim θ→π/2 (-cos(θ)) / (-6 sin(6θ))

When θ approaches π/2, cos(θ) approaches 0 and sin(6θ) approaches 1. Therefore, the limit simplifies to:

= 0 / (-6)

= 0

Hence, the limit of (1 - sin(θ)) / (1 + cos(6θ)) as θ approaches π/2 is 0.