find the rate of change of its elevation when x= 26

Lower estimate obtained would be = 35.4 liters

Upper estimate obtained would be = 35.4 liters

What is Estimate?

Estimation finds an estimate or approximation.

An approximation is a value, amount, or size closest to the true value found by rounding off.

To find upper and lower estimates for the total quantity of erupted materials after six seconds using six equal subintervals, we can use the left endpoints and the right endpoints of the subintervals to find the estimates.

The lower estimate is obtained by using the left endpoints of the subintervals to estimate the value of r(t) at each subinterval. Since there are six subintervals, we have:

lower estimate = (28 + 18 + 34 + 48 + 54 + 60) * (6/6) = 324 tons

The upper estimate is obtained by using the right endpoints of the subintervals to estimate the value of r(t) at each subinterval. We have:

upper estimate = (18 + 34 + 48 + 54 + 60 + 60) * (6/6) = 324 tons

To use the midpoint rule to estimate Q(6) using three equal subintervals, we need to find the midpoints of the subintervals. The subintervals are [0,2], [2,4], and [4,6]. The midpoints are 1, 3, and 5. The value of r(t) at these points is 18, 48, and 54 respectively. The midpoint rule estimate is given by:

Q(6) = (18 + 48 + 54) * (6/3) = 180 tons

To find lower and upper estimates for the total amount of oil leaked over the interval [0, 10] using five equal subintervals, we can again use the left endpoints and the right endpoints of the subintervals to find the estimates. The lower estimate is obtained by using the left endpoints of the subintervals to estimate the value of r(t) at each subinterval. The upper estimate is obtained by using the right endpoints of the subintervals to estimate the value of r(t) at each subinterval.

The subintervals are [0,2], [2,4], [4,6], [6,8], and [8,10]. The left endpoints are 0, 2, 4, 6, and 8, and the right endpoints are 2, 4, 6, 8, and 10. The lower estimate is obtained by using the left endpoints:

lower estimate = (8.6 + 7.5 + 6.7 + 6.4 + 5.7) * (10/5) = 35.4 liters

The upper estimate is obtained by using the right endpoints:

upper estimate = (7.5 + 6.7 + 6.4 + 5.7 + 5.1) * (10/5) = 35.4 liters

Hence, The Lower estimate obtained would be = 35.4 liters and

Upper estimate obtained would be = 35.4 liters

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Answer:

See below

Step by step explanation:

Here it is given that , the price of a ticket is $42.99 before tax . And he got a discount of 40% . So the cost after discount will be ,

\(\longrightarrow Cost = \$ 42.99 - \$42.99\times \dfrac{40}{100} \\\)

Simplify ,

\(\longrightarrow Cost = \$ 42.99 - \$17.196 \\\)

\(\longrightarrow Cost = \$ 25.79 \)

Again it is given that he paid a tax of 7% on the discounted price . So the tax paid in dollars will be ,

\(\longrightarrow Tax = 7\% \ of \ \$25.79\\ \)

Simplify ,

\(\longrightarrow Tax = \dfrac{7}{100}\times \$ 25.79 \)

\(\longrightarrow \underline{\underline{ Tax =\$ 1.80 }} \)

Answer of Part A : He paid a sales tax of $1.80 .

Now the total amount paid can be calculated by adding sales tax to the cost after discount .

\(\longrightarrow Total\ Amount = \$ 25.79 +\$ 1.80\\ \)

Add ,

\(\longrightarrow \underline{\underline{ Total \ Amount = \$ 27.59}} \)

Answer of Part B : The total amount paid by Ronald for ticket is $27.59 .

Answer:

$38.08

Step-by-step explanation:

12% of 34.00 as an equation would be \(34*0.12\), \(34*0.12=4.08\) so we add 4.08 to the total of the lunch already. \(34.00+4.08=38.08\). So the answer is $38.08. Hope this helps :)

The inequality to determine the number of 100-kilogram crates that can be loaded into the shipping container is 27500 ≤ 5400 + 100x

A shipping container will be used to transport several 100-kilogram crates across the country by rail. The greatest weight that can be loaded into the container is 27500 kilograms. Other shipments weighing 5400 kilograms have already been loaded into the container.

Therefore, the inequality that can be used to determine x, the number of 100-kg crates that can be loaded into the shipping container can be calculated as follows:

27500 ≤ 5400 + 100x

where

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Answer:

112.5

67.5

Step-by-step explanation:

We know the ratio is:

5:3

So, we can write it as:

5x+3x=180, with 5x being one angle, and 3x being the other

combine like terms

8x=180

divide both sides by 8

x=22.5

5(22.5)=112.5

3(22.5)=67.5

So, one angle is 112.5 and the other is 67.5.

Hope this helps!

Answer:

Angle BPQ = 64°

Step-by-step explanation:

4x + 12 +2x = 90

6x + 12 = 90

     - 12    -12

6x = 78

x = 13°

BPQ = ((4(13) + 12)°

           (52 + 12)°

            64°

Answer:

B

Step-by-step explanation:

since domain should be in positive i thinks this should be answer B

Using proportions, it is found that the missile's internal computer clock is of 20 seconds.

50 tenths of a second is equivalent to 5 seconds, and we want to find the equivalent to 200 tenths of a second, thus, the rule of three is:

50 tenths - 5 seconds

200 tenths - x seconds

Applying cross multiplication:

\(50x = 5(200)\)

\(50x = 1000\)

\(x = \frac{1000}{50}\)

\(x = 20\)

The missile's internal computer clock is of 20 seconds.

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Answer:

-7-63a

Step-by-step explanation:

-7(1 + 9a)

(use the distributive property of multiplication to simplify)

-7-63a

Step-by-step explanation:

a= c-b pls let me know if it is correct or not

Answer:

(6)11-(4)/13

Step-by-step explanation:

The probabilities are given as follows:

The z-score of a measure X of a variable that has mean symbolized by \(\mu\) and standard deviation symbolized by \(\sigma\) is obtained by the rule presented as follows:

\(Z = \frac{X - \mu}{\sigma}\)

The parameters for this problem are given as follows:

\(\mu = 104.2, \sigma = 87.9, n = 48, s = \frac{87.9}{\sqrt{48}} = 12.69\)

The probability is the p-value of Z when X = 129.6 subtracted by the p-value of Z when X = 85.2, hence:

\(Z = \frac{X - \mu}{\sigma}\)

Z = (129.6 - 104.2)/87.9

Z = 0.29 has a p-value of 0.6141.

\(Z = \frac{X - \mu}{\sigma}\)

Z = (85.2 - 104.2)/87.9

Z = -0.22 has a p-value of 0.4129.

Hence:

0.6141 - 0.4129 = 0.2012 = 20.12%.

For the sample mean, we use the standard error, hence:

\(Z = \frac{X - \mu}{s}\)

Z = (129.6 - 104.2)/12.69

Z = 2 has a p-value of 0.9772.

\(Z = \frac{X - \mu}{s}\)

Z = (85.2 - 104.2)/12.69

Z = -1.5 has a p-value of 0.0668.

Hence:

0.9772 - 0.0668 = 0.9104 = 91.04%.

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Answer:

7/8 of a cup of dog food

Step-by-step explanation:

You would have to add 1/4+5/8, which would equal 2/8+5/8, which equals 7/8 of a cup of dog food.

Answer:

3/10

Step-by-step explanation:

Answer:

\(\frac{3}{10}\)

Step-by-step explanation:

\(\frac{8}{10}\) - \(\frac{5}{10}\) = \(\frac{3}{10}\)

Hope this helps. Plz give brainliest.

Step-by-step explanation:

if there is no typo, or there are no parts missing, then

-1 <= 2-j < -5

cannot have any solution, because already for the outside limits -1 < -5 is impossible. -1 is larger than -5 !

By analyzing the graph and evaluating the objective function at each vertex of the feasible region, we can find the optimal solution, which is the vertex that maximizes the objective function z = 3x + y.

To find the optimal solution of the given problem using the graphical method, we need to plot the feasible region determined by the given constraints and then identify the point within that region that maximizes the objective function.

Let's start by graphing the constraints:

1. Plot the line 2x - y = 5. To do this, find two points on the line by setting x = 0 and solving for y, and setting y = 0 and solving for x. Connect the two points to draw the line.

2. Plot the line -x + 3y = 6 using a similar process.

3. The x-axis and y-axis represent the constraints x ≥ 0 and y ≥ 0, respectively.

Next, identify the feasible region, which is the region where all the constraints are satisfied. This region will be the intersection of the shaded regions determined by each constraint.

Finally, we need to identify the point within the feasible region that maximizes the objective function z = 3x + y. The optimal solution will be the vertex of the feasible region that gives the highest value for the objective function. This can be determined by evaluating the objective function at each vertex and comparing the values.

Note: Without a specific graph or additional information, it is not possible to provide the precise coordinates of the optimal solution in this case.

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Answer:

-12

Step-by-step explanation:

5 + -2 = 3

-4 x 3 = -12

Answer:-12

Step-by-step explanation:

Solution:

The population, A, is modelled by;

Where t is the number of years after 2003.

Thus;

The number of years, t, is;

Take the logarithm of both sides of the equation;

ANSWER: The population of the country will be 258 millions in 2022

Answer:

3.6+52.3= 55.9

Step-by-step explanation:

Answer: Hope this helps :)

Step-by-step explanation:

3.6 + 52.3 = 58.9

Answer:

38.81 pounds

Step-by-step explanation:

Considering the definition of right rectangular prism and its volume,  the total weight of the contents is 38.81 pounds.

Right rectangular prism

A right rectangular prism (or cuboid) is a polyhedron whose surface is formed by two equal and parallel rectangles called bases and by four lateral faces that are also parallel rectangles and equal two to two.

Volume of right rectangular prism

To calculate the volume of the rectangular prism, it is necessary to find the product of its dimensions, or of the three edges that converge at a certain vertex.

That is, to calculate the volume of a rectangular prism, multiply its 3 dimensions: length×width×height.

Volume of the container

In this case, you know that:

the dimensions of the container built are 7.5 ft by 11.5 ft by 3 ft.

the container is entirely full and, on average, its contents weigh 0.15 pounds per cubic foot.

So, the volume of the container is calculated as:

7.5 ft× 11.5 ft× 3 ft= 258.75 ft³

Then, the total weight of the contents is calculated as:

258.75 ft³×  0.15 pounds per cubic foot= 38.8125 pounds≅ 38.81 pounds

Finally, the total weight of the contents is 38.81 pounds.

Answer:

6800

Step-by-step explanation:

As a result, the triangle's angles are measured at 37 degrees, 74 degrees, and 69 degrees.

When two straight arcs or beams intersect at a single terminus, an angle is created. The apex of an arc is the location where two points come together. The Latin term "angulus," which means "corner," is where the word "angle" originates.

Let's call the second angle "x".

From the problem statement, we know that:

The total of the three angles in a triangle is always 180 degrees.

So we can set up an equation:

x + 2x + (3x - 42) = 180

Simplifying and solving for x:

6x - 42 = 180

6x = 222

x = 37

Therefore, the second angle measures 37 degrees.

To find the other two angles, we can substitute x = 37 into the expressions we found earlier:

One angle measures 2x = 2(37) = 74 degrees.

The third angle measures 3x - 42 = 3(37) - 42 = 69 degrees.

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Answer:

1. 8r+7

2. 8 ( r-t)

3. 2(3r+5t)

Step-by-step explanation:

See Image below:)

A kilowatt-hour is about 1 3.6 x 10⁶ joules.

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

A kilowatt-hour is about 3.6 x 10⁶joules.

The above statement means that we convert 3.6 x 10⁶joules from joules to kilowatt-hour

Using the above as a guide, we have the following:

The given parameter can be represented using the following equation

3.6 x 10⁶joules = x kilowatt-hour

Rewrite as

x kilowatt-hour = 3.6 x 10⁶joules

As a general rule of conversion, we have

1 kilowatt-hour = 3.6 x 10⁶joules

So, we have the following representation

x kilowatt-hour = 1 kilowatt-hour

Evaluate the quotient

x = 1

Hence, the expression that completes the blank is 1 (one)

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Answer:

1. Point A: (0, 2)

Point B: (-1, -3)

Point C: (-2, 4)

2. Point A: (-2, 4)

Point B: (6, -2)

Point C: (3, 5)

3. Point A: (4, -3)

Point B: (3, -12)

Point C: (-1, -5)

Step-by-step explanation:

1.

Reflection of point A:

Reflections over the x-axis are really easy. All you have to do is change the x-coordinate to the opposite sign.

In this case, 0 does not need to change since it already lies on the x-axis.

The coordinate for A will stay the same as (0, 2).

Reflection of point B:

Again, change the x-coordinate to negative.

1 → -1

The coordinate for B will now be (-1, -3).

Reflection of point C:

2 → -2

The coordinate for C will now be (-2, -4).

2.

Reflection of point A:

Reflections over the y-axis are also really easy. This time, all you have to do is change the y-coordinate to the opposite sign.

In this case, -4 would change to just 4.

The coordinate for A will stay the same as (2, 4).

Reflection of point B:

Again, change the y-coordinate to negative.

2 → -2

The coordinate for B will now be (6, -2).

Reflection of point C:

-5 → 5

The coordinate for C will now be (-1, 5).

3.

This is going to be a bit harder than the previous two, but I know you can handle it. :)

Reflection of point A:

The x will stay the same and only the y will change.

Take the y-coordinate and subtract it from the reflection line while getting the absolute value..

|(-1) - (-2)| = |1| = 1

This means, point A is one unit down the line y = -2

(-2) - 1 = -3

The coordinate for A will now be (4, -3).

Reflection of point B:

Again, the x will stay the same and only the y will change.

Using the absolute value, get the y-coordinate and subtract it from the reflection line again..

|(8) - (-2)| = |10| = 10

This means, point A is five unit down the line y = -2

(-2) - 10 = -17

The coordinate for B will now be (3, -12).

Reflection of point C:

I think you get the gist of it.

|(1) - (-2)| = |3| = 3

(-2) - 3 = -5

The coordinate for C will now be (-1, -5).

The red triangle is the original image and the blue triangle is the image after the reflection. The purple line is the reflection line.

Hope this helped!

The graph of  Exercises 1-3 that shows AABC and its image after a reflection in the given line can be done using the example from the graph attached.

A reflection over line is known to be a kind of  transformation where each point of the main or original figure (that is the pre-image) is said to be made up of an image that has similar distance from the reflection line.

Note that In a reflection, the image is said to be of similar size and also of the same shape as the original image.

Therefore to be able to construct the graph of  Exercises 1-3, one can use the image example by tracing the number values such as A(0, 2), B(1, -3), C(2, 4); x-axis, A(-2,-4), B(6,2), C(3. – 5); y-axis and  A(4, -1), B(3, 8), C(-1, 1); y = -2 on the graph and linking them up together to form an angle.

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We can use the formula for resistance to motion:

R = (m(vf^2 - vi^2))/(2d)

where R is the resistance to motion, m is the mass of the ship (10 000 tonnes = 10,000,000 kg), vf is the final velocity (2 m/s), vi is the initial velocity (3 m/s), and d is the distance over which the ship slowed down (40 m).

Plugging in the values, we get:

R = (10,000,000((2^2) - (3^2)))/(2(40))

R = (10,000,000(-5))/80

R = -625,000 N

The negative sign indicates that the resistance to motion is acting in the opposite direction to the ship's motion. Therefore, the average resistance to motion of the ship when slowing down is 625,000 N.

Answer:

90

Step-by-step explanation:

subtracted it because it says drop.

Answer:

If x = 3, then y = -2 since the corresponding value of y for x=3 is -2 in the given table.

Step-by-step explanation: