g (x) =-3x-4
f (x)=x2-2
Find (g+f) (2)

If Steven made $4,800 this month, the value of his sales for the month is $51,000.

Steven's base monthly salary on sales of $17,000 = $2,700

First sales commission above $17,000 sales = 10%

Second bonus commission above $25,000 sales = 5%

Total earnings for the month = $4,800

First sales commission = $800 ($25,000 - $17,000 x 10%)

Additional bonus commission = $1,300 ($4,800 - $2,700 - $800)

$1,300 = 5%

Sales above $25,000 = $26,000 ($1,300/5%)

Sales value = $51,000 ($25,000 + $26,000)

Thus, we can assert that Steven generated Sales of $51,000 to earn a total of $4,800 for the month.

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Length of Chord which is at the distance of 4 cm from the centre of a circle is 6 cm.

AB = 6 cm.

AC = 6/2 = 3 cm

Distance from the centre = OC = 4 cm.

We are given to find Diameter of the circle.

OA is the radius of the circle. So, firstly we will find the Radius (OA) of the circle.

\( \sf AC^2+ OC^2= OA^2 \\ \\ \sf 3^2 + 4^2 = OA^2 \\ \\ \sf9 + 16 = OA^2 \\ \\ \sf 25 = OA^2 \\ \\ \sf OA = \sqrt {25 } \\ \\ \sf OA = 5 cm \\ \)

Radius of circle (OA) = 5 cm

Diameter = 2 × radius

= 2 × 5

= 10 cm

Therefore, Required diameter of the circle is 10 cm

Answer:

evalues ton calcule A est correct

Answers:

Positive slopes:

Y = 8x - 6 with a slope of 8.

30x - 5y = 25 with a slope of 6.

Negative slopes:

-3x + 3y = 18 with a slope of -1.

Y = -3x + 7 with a slope of -3.

20x + 10y = 90 with a slope of -2.

Step-by-step explanation: Have a great day! :)

Answer:

Positive Slopes

2) y = 8x - 6

3) y = 6x - 5

5) y = 1x + 6

Negative Slopes

1) y = -3x + 7

4) y = -2x + 9

(Bold numbers indicate the slopes)

Step-by-step explanation:

y = mx + b is the slope intercept form of writing the equation of a straight line. In the equation 'y = mx + b', 'b' is the point, where the line intersects the 'y axis' and 'm' denotes the slope of the line. The slope or gradient of a line describes how steep a line is.

y = mx + b

m ~ slope of the line

b ~ intercept of the line

\(3) \: \: 30x - 5y = 25 \\ 30x - 25 = 5y \\ \frac{30x - 25}{5} = \frac{5y}{5} \\ 6x - 5 = y \\ \\ y = 6x - 5\)

\(4) \: \: 20x + 10y = 90 \\ 10y = - 20x + 90 \\ \frac{10y}{10} = \frac{ - 20x + 90}{10} \\ y = - 2x + 9 \\ \)

\( 5) \: \: - 3x + 3y = 18 \\ 3y = 18 + 3x \\ \frac{3y}{3} = \frac{18 + 3x}{3} \\ y = 6 + x \\ \\ y = x + 6\)

Answer:

Step-by-step explanation:

7 hr/3 pumps

So first we want to find the unit rate which would be...

5.25 hr/1 pump

Now that we found the unit rate we are going to multiply it by 2 because there are 2 pumps...

5.25*2=10.5

So our answer is 10.5 hr/ 2 pumps

                                                                                    YOUR WELCOME!

                                                                                     BRAINLIEST?????

Answer:

67

Step-by-step explanation:

(4*100)/6

=400/6

=66.67

Round to get 67

Answer:

a) 40 + 10d where is the distance

b) 160 km

Step-by-step explanation:

→ Substitute 12 into the formula

40 + ( 10 × 12 ) = 160

(a) The marginal cost C'(x) is given by C'(x) = 0.0003x^2 - 0.04x + 2.

(b) Using Leibniz's notation for the chain rule, we have dt/dC = (dx/dC) * (dt/dx).

(c) Substituting the values, when t = 4 weeks, into the expression for dt/dC, we get dt/dC = 1 / C'(x) = 1 / (0.0003x^2 - 0.04x + 2).

To find the marginal cost, we differentiate the cost function C(x) with respect to x. Taking the derivative of C(x) = 0.0001x^3 - 0.02x^2 + 2x + 400, we get C'(x) = 0.0003x^2 - 0.04x + 2.

To find dt/dC, we need to find dx/dC first. Rearranging the equation x = 1300 + 100t, we get t = (x - 1300)/100. Taking the derivative of this equation with respect to C, we get dx/dC = (dx/dt) * (dt/dC) = (dx/dt) / (dC/dx) = 1 / (dC/dx).

Therefore, the rate at which the cost is changing with respect to time t is given by dt/dC. To determine how fast costs are increasing when t = 4 weeks, we substitute x = 1300 + 100t and t = 4 into the expression for dt/dC:

dt/dC = 1 / (0.0003(1300 + 100t)^2 - 0.04(1300 + 100t) + 2).

Simplifying this expression will give us the rate of increase in dollars per week. However, the given information is incomplete, as the values for x and t are not specified.



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Using sampling concepts, it is found that the 33,043 infants represent the sample.

It is a common statistics practice, when we want to study something from a population, we find a sample of this population, which is a group containing elements of a population. A sample has to be representative of the population, that is, it has to involve all segments of the population.

In this problem, all infants represent the population, while 33,043 infants represent the sample.

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Since we know that a varies directry with b, this means that

where k is a proportional constant.

If we plugg in the values we have we can find k. Then

Therefore, in our case

Now we want to know the value of a when b=14.5, plugging the value in the last equation we have

Now we solve for a

Therefore, when b=14.5 than a=2.8.

Answer:

mean= 10+11+8+10+12+8+10+11+12+10/10

=92/10=9.2

mode=10

hope it helps

plz mark as brainliest

Answer: 2:3

Step-by-step explanation:

Hallie donated 4 pairs and Mattie 6

the ration is 4:6

simplify that (both can be divided by two) and you get 2:3

So for every two pairs of jeans Hallie Donates, Mattie Donates 3

Hope that helps

The ratio to describe the number of jeans shared by Hallie and Mattie is obtained as 2 : 3.

The ratio of two numbers a and b can be written as a : b = a/b.

The ratio of two quantities is the unit rate of one quantity with respect to the other.

The number of jeans donated by Hallie and Mattie are given as 4 and 6 respectively.

It can be written in terms of ratio as 4 : 6.

It can be simplified as,

⇒ 4 : 6

⇒ 4/6

⇒2/3

⇒ 2 : 3

Hence, the number of jeans donated can be written in terms of ratio as 2 : 3.

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The statement "the expected value of an unbiased estimator is equal to the parameter whose value is being estimated" is true.

An estimator is a function of the sample data used to estimate the value of a population parameter. An estimator is said to be unbiased if its expected value is equal to the true value of the population parameter. In other words, if we were to repeatedly take samples from the population and calculate the estimator for each sample, the average value of the estimator over all the samples would be equal to the true value of the population parameter. The expected value of an unbiased estimator is a key property because it ensures that the estimator is not systematically overestimating or underestimating the population parameter. Instead, the estimator provides an unbiased estimate of the population parameter on average across all possible samples. It is important to note that not all estimators are unbiased. Biased estimators may systematically overestimate or underestimate the population parameter, leading to incorrect conclusions. Therefore, unbiasedness is a desirable property for an estimator to have.

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Given that x=-2/3

Then,

Therefore the value for x-1/3 is -1.

Answer: See explanation

Step-by-step explanation:

Your question isn't well written but let me help out by making some assumptions.

Let's say Jamie's older brother and his three friends want to split the cost of lunch that costs $30 and they also want to leave a 20% tip. How much should each person pay?

Cost of the lunch = $30

Tip = 20% × $30 = 0.2 × $30 = $6

Total amount to be paid = $30 + $6 = $36

Since there are four people and they want to share the cost, each person would pay:

= $36 / 4

= $9

The function f is continuous at 0 since f(0) = 0, and we can see that as (x,y) approaches (0,0), f(x,y) approaches 0 as well.

The directional derivative f'(0;u) exists for all vectors u ≠ 0. The D₁f and D₂f do not exist at 0. The f is not differentiable at 0. The f is continuous at 0.

To find the vectors u ≠ 0 for which f'(0;u) exists, we need to compute the limit:

f'(0;u) = lim_(h->0) (f(0 + hu) - f(0))/h

Let's calculate f(0 + hu):

f(0 + hu) = f(hu) = (hu)² + (hu)²hu = h²u² + h³u³

Now we can evaluate the limit:

f'(0;u) = lim_(h->0) [(h²u² + h³u³ - 0)/h] = lim_(h->0) (h²u² + h³u³)/h = lim_(h->0) (hu² + h²u³) = 0 + 0 = 0

So, f'(0;u) exists for all vectors u ≠ 0, and its value is 0.

To check if D₁f and D₂f exist at 0, we need to compute the partial derivatives ∂f/∂x and ∂f/∂y at (0,0).

∂f/∂x = lim_(h->0) [(f(h,0) - f(0,0))/h] = lim_(h->0) [(h²·0² + h³·0³ - 0)/h] = lim_(h->0) 0 = 0

∂f/∂y = lim_(h->0) [(f(0,h) - f(0,0))/h] = lim_(h->0) [(h²·0² + h³·0³ - 0)/h] = lim_(h->0) 0 = 0

Both partial derivatives are equal to 0, so D₁f and D₂f exist at 0.

To determine if f is differentiable at 0, we need to check if the limit

lim_(u->0) [f(u) - f(0) - f'(0;u)]/||u|| exists, where ||u|| is the norm of the vector u.

Let's evaluate the limit:

lim_(u->0) [(f(u) - f(0) - f'(0;u))/||u||] = lim_(u->0) [(u² + u²u - 0 - 0)/||u||] = lim_(u->0) [u(1 + u)]

The limit depends on the direction of approach, as it varies for different paths. Hence, f is not differentiable at 0.

The function f is continuous at 0 since f(0) = 0, and we can see that as (x,y) approaches (0,0), f(x,y) approaches 0 as well.

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Answer:

79°

Step-by-step explanation:

The demand equation is p+x/5=32, with a = 32 and b = 1/5. The elasticity of demand is -x/4000 when price p is equal to $20. The demand is inelastic when the elasticity is less than 1, and a small increase in price will result in little to no change in total revenue. Therefore, the correct option is little to no change in total revenue.

The demand equation is given as p+x/5=32The above demand equation can be written asp = 32 – x/5This is a linear demand equation of the form p = a – bx

Here,a = 32andb = 1/5The elasticity of demand is given by

E = (dp/p)/(dx/x)dp/dx

= -b * p^(-2) * dx/dp

So,E = (-b * p^(-2) * dx/dp) * (p/x)

E = (-1/5 * (20)^(-2)) * (20/x)

E = (-1/5 * 1/400) * (20/x)

E = (-1/200) * (20/x)E = (-x)/(200 * 20)

E = -x/4000

The elasticity of demand is -x/4000 when the price p is equal to $20.The demand is inelastic when the elasticity of demand is less than 1 and in this case the elasticity of demand is -x/4000 which is less than 1.

So, the demand is inelastic when the price is $20.A small increase in price will result in a little to no change in total revenue when the demand is inelastic.

So, a small increase in price will result in little to no change in total revenue. Hence, the correct option is 1. little to no change in total revenue.

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Answer:

53/25 x 100 = 212% increase

Answer:

  3

Step-by-step explanation:

You want the greatest of three consecutive odd integers that have a sum of 3.

The average of the integers is their sum divided by their number:

  average = 3/3 = 1

This is the value of the middle of the three integers, so they are ...

  -1, 1, 3

The greatest of the three is 3.

The answer is that The critical point (0, 0) is asymptotically stable (C) and is a proper node (C).

To find the linearization of the given system, we need to calculate the Jacobian matrix and evaluate it at the critical point (0, 0). The given system is:

x' = -6x - y - x^2
y' = 16x - 6y - 2xy^3

The Jacobian matrix J(x, y) is:

J(x, y) = | -6 - 1 - 2x, -1          |
         | 16 - 6y^2 - 2x, -6 - 6x^2 |

Evaluating J(x, y) at the critical point (0, 0):

J(0, 0) = | -6, -1 |
         | 16, -6 |

Now we need to find the eigenvalues of this matrix to determine the stability of the critical point (0, 0). The eigenvalues of J(0, 0) are λ1 = -2 and λ2 = -10. Both eigenvalues are real and negative.

The critical point (0, 0) is asymptotically stable (C) and is a proper node (C).

Now, to find the solution to the linearization with initial conditions x(0) = -0.3 and y(0) = 1, we need to solve the linearized system:

x' = -6x - y
y' = 16x - 6y

Since the initial conditions are x(0) = -0.3 and y(0) = 1, we can't provide a closed-form solution without more information. However, the linearized system can be solved numerically or analytically using various methods such as matrix exponentials or numerical integration.

Your answer:
The critical point (0, 0) is asymptotically stable (C) and is a proper node (C).

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Answer:

(78, 80)

Step-by-step explanation:

Given a normal distribution :

Mean = 79 seconds

Standard deviation = 0.5 seconds

Using the empirical rule :

95% of her finishing times :

According to the empirical rule, 95% represents 2 standard deviations from the mean that is ± 2 standard deviations from the mean score or value.

Hence ;

The interval will be defined as ;

Mean ± 2(standard deviation)

79 ± 2(0.5)

79 ± 1

(79 - 1) ; (79 + 1)

78 ; 80

Answer:

I think it like this .........

Answer:

(3, 6 )

Step-by-step explanation:

Given the 2 equations

y = 5x - 9 → (1)

y = x + 3 → (2)

Substitute y = 5x - 9 into (2)

5x - 9 = x + 3 ( subtract x from both sides )

4x - 9 = 3 ( add 9 to both sides )

4x = 12 ( divide both sides by 4 )

x = 3

Substitute x = 3 into either of the 2 equations and evaluate for y

Substituting into (2)

y = 3 + 3 = 6

solution is (3, 6 )

The correct answer is B. created in an iterative and incremental manner.

Unlike traditional Work Breakdown Structures (WBS), evolutionary WBSs are developed in an iterative and incremental manner. This means that they are built and refined over time as the project progresses, allowing for adjustments and additions to be made as new information becomes available. The evolutionary WBS is not organized in a standard manner across all projects (A) and it is not specifically designed for comparison to past projects (C). Therefore, the answer is B. created in an iterative and incremental manner.

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Answer:

256/5=51.2

Step-by-step explanation:

Answer:

51 with a remainder of one, or 51.2

Step-by-step explanation:

She has 256 donuts and 5 friends. I assume this is for long division practice, so I will do long division.

5 | 256

Look at the first term. Does 5 go into 2? No. Bring down the next term.

5|256

  25

Does 5 go into 25? Yes! How many times? 5. The first digit of our answer will be 5.

5|256 = 5

  25

Now to get rid of the 25, we multiply the number we took for our answer by the divisor. 5x5 = 25. Subtract this from 25 and bring down the next (and last term).

5|256 = 5

  25

 -25

     06

Does 5 go into 6? Yes. One time. Repeat what we did just now with this term now.

5|256 = 51

  06

   -5

     1

Does 5 go into 1? No, it is smaller. Therefore we have a remainder of one donut.

If we are trying to divide ALL of the donuts equally, we will have to cut up the donut into 5 equal pieces. They would each be 1/5 of the donut, or 0.2.

So adding this, each friend would get 51 donuts, with an extra donut for Mrs Rivas, or each friend would get 51.2/51 and 1/5 donuts.