if ⅆyⅆt=6e−0.08(t−5)2ⅆyⅆt=6e−0.08(t−5)2, by how much does yy change as tt changes from t=1t=1 to t=6t=6 ?

Answer:

b

Step-by-step explanation:

Answer:

Where is the number line?? ;-;

Step-by-step explanation:

Dude I cant answer if you dont show me the number lines

Answer:

check b, c, and d

Step-by-step explanation:

not all functions are linear so don't click A.

Answer:

I'm not sure if it's c but b and d are true

Step-by-step explanation:

Sorry this is late.... need the points

The equation of the set of points P, the sum of whose distances from A(4,0,0) and B(−4,0,0) is equal to 10 is (x - 4)² + (x + 4)² + y² + z² = 25.

In the given problem, we are required to find the equation of the set of points P, the sum of whose distances from A(4,0,0) and B(−4,0,0) is equal to 10. Therefore, the equation of the set of points P can be found using the distance formula. Let P(x, y, z) be a point on the set of points P.

The distance between the point P(x, y, z) and A(4, 0, 0) can be found using the distance formula:

d1(P, A) = √[(x - 4)² + y² + z²]

Similarly, the distance between the point P(x, y, z) and B(-4, 0, 0) can be found using the distance formula:

d2(P, B) = √[(x + 4)² + y² + z²]

Therefore, according to the problem statement, we have:

d1(P, A) + d2(P, B) = 10

Substituting the values of d1(P, A) and d2(P, B) in the above equation, we get:

√[(x - 4)² + y² + z²] + √[(x + 4)² + y² + z²] = 10

Squaring both sides of the above equation, we get:

(√[(x - 4)² + y² + z²] + √[(x + 4)² + y² + z²])² = 100

On simplifying, we get:

2[(x - 4)² + (x + 4)²] + 2y² + 2z² = 100

On simplying it more, the required equation of the set of points P, the sum of whose distances from A(4, 0, 0) and B(-4, 0, 0) is equal to 10 becomes (x - 4)² + (x + 4)² + y² + z² = 25.

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We have an algebraic problem about proportions of solutions. We will find that the nurse needs to use 550 cm^3 of the 10% solution.

We know that the nurse mixes 50cm^3 of 70% saline solution with a volume V of a 10% saline solution, such that the end product would be 15% saline solution.

We need to find the value of V.

The total amount of salt in each solution is given by the product between the volume and the percent of salt in it (written as a decimal, for example, 70% would be 0.7)

Then we have:

50cm^3*0.7 + V*0.1 = (50cm^3 + V)*0.15

Above says that the salt of the mix must be equal to the salt in a 15% solution with a volume of (50cm^3 + V)

Now we just need to solve this for V.

50cm^3*0.7 + V*0.1 = (50cm^3 + V)*0.15

50cm^3*0.7 + V*0.1 = 50cm^3*0.15 + V*0.15

50cm^3*0.7 - 50cm^3*0.15  =  V*0.15 - V*0.1

27.5 cm^3 = V*(0.15 - 0.1) = V*0.05

(27.5 cm^3)/0.05 = V = 550 cm^3

The nurse needs to use 550 cm^3

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The probability of a student having a quiz grade of 90 or greater is 7.4%.

The probability of a student having a quiz grade of 90 or greater can be calculated using the standard normal distribution. The formula used to calculate this probability is P(x ≥ 90) = 1 - P(x < 90).

The standard normal distribution is a normal distribution with a mean of 0 and a standard deviation of 1. To convert our quiz grade to a z-score, we must subtract the mean (80) from our quiz grade (90) and divide by the standard deviation (7). This gives us a z-score of 1.43.

To calculate the probability of a quiz grade of 90 or greater, we subtract the cumulative probability of a z-score of 1.43 from 1. This can be done using a z-table or a calculator. The result of this calculation is 0.0740 or 7.4%.

In conclusion, the probability of a student having a quiz grade of 90 or greater is 7.4%.

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Answer:

  a) 22e^-0.01t kilograms

  b) about 19.906 kilograms

Step-by-step explanation:

You want an equation for the amount of salt in a 15 kL brine tank initially containing 22 kg of salt if 150 L/min of the contents is replaced by pure water.

The quantity of salt s(t) in kilograms can be described by the differential equation ...

  s(0) = 22; s'(t) = -150/15000·s(t)

The solution can be found by separation of variables.

  \(\displaystyle\dfrac{ds}{dt}=-0.01s\\\\\int{\dfrac{1}{s}}\,ds=-0.01\int{}\,dt\\\\\ln{s}=-0.01t+c_1\\\\s=c_2\cdot e^{-0.01t}\qquad\text{where $c_2$ is $s(0)=22$}\\\\\boxed{s(t)=22e^{-0.01t}}\)

The amount of salt remaining after 10 minutes is ...

  s(10) = 22·e^(-0.01·10) = 22·e^-0.1

  s(10) ≈ 19.906 . . . . kilograms

There is about 19.906 kg of salt in the tank after 10 minutes.

__

Additional comment

The initial rate of change of the amount of salt is -22/100 kg/min, so after 10 minutes, we expect an approximate reduction by 2.2 kg to 19.8 kg. Since the rate slows as salt is removed, the value 19.9 kg after 10 minutes is reasonable.

There are a couple of places where the integration constant can be put in the equation for the salt quantity. As a multiplier of the exponential function, its value is found in a straightforward way.

He missed 2.

90% of 10 is 9. So he makes 9 shots and misses 1 for every 10 free throws.

So just double that number (1 shot missed) and so you get 2 missed shots

Hope this helps, and please consider marking branliest if this did

The value of the objective function at this point is Z = 840.  The solution (7, 7) is feasible.

a. Formulation of linear programming model:To solve this problem, the following linear programming model can be used:x1 = Activity 1 (in units)x2 = Activity 2 (in units)Maximize Z = 60x1 + 50x2 subject to30x1 + 126x2 ≤ 4,752 (Acceptable limit)60x1 + 126x2 ≤ 8,436 (Benefit 1)Step-by-step explanation is given below:Function: Linear Programming modelSolution:

a. Formulation of linear programming model:To solve this problem, the following linear programming model can be used:x1 = Activity 1 (in units)x2 = Activity 2 (in units)Maximize Z = 60x1 + 50x2 subject to30x1 + 126x2 ≤ 4,752 (Acceptable limit)60x1 + 126x2 ≤ 8,436 (Benefit 1)  

b. Checking for feasible solutionsWe need to check the following solutions:(x1, 32) (7, 7) (7, 8) (8, 7) (8, 8) (8, 9) (9, 8)Let us substitute the values in the linear programming model for each solution:Solution: (x1, 32)30x1 + 126(32) = 4,752 + 4,032 = 8,784 > 4,752 (Infeasible)Solution: (7, 7)30(7) + 126(7) = 966 < 4,752 (Feasible)60(7) + 126(7) = 1,092 < 8,436 (Feasible)Solution: (7, 8)30(7) + 126(8) = 5,070 > 4,752 (Infeasible)Solution: (8, 7)30(8) + 126(7) = 5,016 > 4,752 (Infeasible)Solution: (8, 8)30(8) + 126(8) = 5,196 > 4,752 (Infeasible)Solution: (8, 9)30(8) + 126(9) = 5,322 > 4,752 (Infeasible)Solution: (9, 8)30(9) + 126(8) = 5,358 > 4,752 (Infeasible)Therefore, only the solution (7, 7) is feasible.

c. Expressing the model in algebraic form:We have,x1 = Activity 1 (in units)x2 = Activity 2 (in units)Maximize Z = 60x1 + 50x2 subject to30x1 + 126x2 ≤ 4,752 (Acceptable limit)60x1 + 126x2 ≤ 8,436 (Benefit 1)The solution x = (7, 7) is feasible and optimal, with Z = 60(7) + 50(7) = 840.d. Using the graphical method:Below is the graph plotted for the above linear programming model:graph{(y-4752)/126<=-(3/2)x+316}The feasible region is given by the shaded region in the graph. The optimal solution is (7, 7), which is at the point of intersection of the two lines. The value of the objective function at this point is Z = 840.

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The measures of angles m∠ABC = 36° and m∠CBD = 84°.

Geometry is a branch of mathematics that deals with shapes, sizes, angles, and dimensions of objects.

The angle m∠ABD = 120° is the result for the sum of the two angles m∠ABC and m∠CBD so;

m∠ABC + m∠CBD = m∠ABD

2x + 5x - 6 = 120°

7x - 6 = 120° {add 6 to both sides}

7x = 120° + 6°

7x = 126° {divide through by 7}

x = 126°/7

x = 18

2x = 2(18) = 36°

5x - 6 = 5(18) - 6 = 84°

Therefore, the geometry question have the measure of angles m∠ABC = 36° and m∠CBD = 84°.

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Possible Question:

Find m∠ABC and m∠CBD if m∠ABD =120°, m∠ABC = 2x, m∠CBD = (5x - 6)°, and the angle m∠ABD is the sum of m∠ABC and m∠CBD.

Answer:

Kindly check explanation

Step-by-step explanation:

Given that:

Jamari's slope value = 2/3

Mia's slope value = 4/6

Even though the points used to calculate the slope aren't given, the problem is still solvable.

Slope = Rise / Run.

The value of slope calculated by Jamari and Mia is the same from the result given, with the only notable difference being that;

Jamari reduced his solution to it's simplest form while, Mia did not

The next step Mia should take is :

Reduce 4/6, tomits lowest term

Find a number which can divide both until. Both aren't designed visible by the same number.

4/6 = 2/3 [Dividing both by 2]

Answer: Angle BGA

Step-by-step explanation:

When added together they make 180 degrees.

Answer:

3

Step-by-step explanation:

Slope=rise/run

-10 - -7=-10+7=-3

4-5=-1

-3/-1=3

(Final equation y=3x-22)

To double the wide variety of pets sold in August as compared to April, you need to decide the number of pets sold in April after which multiply that wide variety through 2.

The variable "A" represents the number of pets sold in April. By multiplying "A" by 2, you purchased the favored quantity of pets offered in August, that is 2A.

This manner that the number of pets offered in August is twice the variety sold in April.

Thus, by enforcing strategies including promotional gives, marketing campaigns, or unique activities, you may potentially entice greater clients and increase the range of puppy sales in August, accordingly reaching the aim of doubling the income in comparison to April.

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Answer:

Step-by-step explanation:

To find the sales tax on a purchased or sold item, first convert the sales tax percentage into the equivalent decimal fraction.  If the sales tax rate is 5.5%, then the desired decimal fraction is 0.055.  Next, multiply the selling price of the purchased or sold item by this decimal fraction.  If, for example, the selling  price is $100, the sales tax is 0.055($100) = $5.50

Answer: x - 15

Step-by-step explanation:

The answer is x - 15

Answer:

x-15

Step-by-step explanation:

Answer:

550 kWh

Step-by-step explanation:

To find the number of kilowatt hours of electricity the Abubakar family will be using 12 months after they've started decreasing their usage, we can substitute 12 for x in the equation y = –25x + 850. This gives us y = –25 * 12 + 850 = –300 + 850 = 550.

Therefore, the Abubakar family will be using 550 kilowatt hours of electricity 12 months after they've started decreasing their usage.

a) The unit rate of change of d with respect to t is equal to 1.6

b) the graph of the line in the attached figure.

Given: A proportionate relationship between d and t with the characteristic that a rise in t of 5 units causes a rise in d of 8 units.

To locate: A rise of 5 units in t causes a rise of 8 units in d, according to the line's unit rate of change with respect to t.

=> Slope  =   Δd/Δt   = 8/5 = 1.6

the proportional relationship between d  and t

=> d ∝ t

=> d = 1.6t

t           d=1.6t

0          0

1           1.6

2           3.2

3           4.8

Plot the points and draw a line passing through points.

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Answer:

90 grams of paint

Step-by-step explanation:

Easy, if you check this is a 3 x 3 x 2 cube which totals 18

So if each small cube is 5 grams

18 * 5 = 90

Answer:

the answer to your question is 11

Step-by-step explanation:

1620÷180= 9

9+2=11

Answer: 60 degrees

Step-by-step explanation: Because all sides are equilateral, and in an equilateral triangle all angles are 60 degrees, hope that helps.

Answer:

Step-by-step explanation:

Answer: it’s A and C (45 ft and 37 ft) I think

The survival time of a 60kg deer without food at -20 degrees Celsius depends on various factors, including its age, sex, and physical condition. However, assuming the deer is healthy and has 5kg of fat, it could potentially survive for around 30 to 50 days without food.

The exact survival time can vary depending on several factors, such as the deer's level of physical activity, environmental conditions, and how much energy it is expending to stay warm in the cold temperature. Additionally, if the deer is able to find sources of water, this can also increase its chances of survival.

It's important to note that this is just an estimate and that the actual survival time may vary. If the deer is injured or sick, its chances of survival may be reduced, and it may not be able to survive as long without food.

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Complete Question

How many days could a 60kg deer survive without food at -20 degrees Celsius if it has 5kg of fat?

The segment AB is a radius and the notation is ↔ AB

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

The circle

On the circle, we can see that

The segment AB goes from the center of the circle to a point on the circle

A line that goes from the center of the circle to a point on the circle is the radius of the circle

This means that the segment AB is a radius and the notation is ↔ AB

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#a

#1

Slope:-

Equation in point slope form

Slope=-100/7

#2

Slope

Y intercept=1800

Equation

Slope=-100/8

#b

First company is painting faster

#c

Comapny B

#d

for #1

#2

Transformation involves changing the position of a point.

The image of D after the transformation is (-4,-2)

The point is given as:

\(\mathbf{D = (-2,-4)}\)

The rule of 270 degrees counterclockwise rotation is:

\(\mathbf{(x,y) \to (y,-x)}\)

So, we have:

\(\mathbf{D' = (-4,2)}\)

The rule of reflection across the x-axis is:

\(\mathbf{(x,y) \to (x,-y)}\)

So, we have:

\(\mathbf{D" = (-4,-2)}\)

Hence, the image of D after the transformation is (-4,-2)

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Answer:

-3 1/5

Step-by-step explanation:

to find the slope of the line you use the equation (y2 - 1) / (x2 - x1)

when plugged in you get

(5 + 3) / (-2 1/4 - 1/4)

then you do what is inside the parenthesis

8 / -2 1/2

8 / -2.5

lastly you divide

you get -3 1/5

that is your answer

We want to simplify the following expression

First, we can apply the distributive rule to rewrite this product

Then, using the following property

we can rewrite our expression as

We can remove the squared terms out of the root

and this is our answer.

Answer:

46

Step-by-step explanation:

Angle CED and GHE are equal as the lines are parallels. Also, the line rom D to F will be a total of 180.

Therefor, substract the angle FEC from 180 and you get the angle CED which is equal to GHE