Pls help me with showing work i’ll give brainliest

Answer: 5^6

Step-by-step explanation:

5^6/(50)^−4                                            5*5*5*5*5*5=15625

=15625/(50)^−4

=15625/1^−4

=15625/1

=15625

5^6 = 5*5*5*5*5*5 = 15625

Hope this helps!!!

For the slope of -3, the altitude where the average temperature is -50°C is 70 km.

What is slope?

A line's steepness and direction are measured by the line's slope. Without actually using a compass, determining the slope of lines in a coordinate plane can assist in forecasting whether the lines are parallel, perpendicular, or none at all.

At 50 kilometer from earth's surface, the temperature is 10°C.

At 80 kilometer from earth's surface, the temperature is -80°C.

The given temperature for unknown altitude is -50°C.

We are told that the temperature varies linearly with altitude, so if y represents the temperature (in °C) and x represents altitude (in km), these variables are related by the equation y = mx + b, where m (the slope) and  b (the y-intercept) are constants.

The two points on this line are (50 km , 10°C) and  (80 km , -80°C).

Use these points to find the slope m -

m = (y2 - y1)/(x2 - x1)

m = (-80 - 10)/(80 - 50)

m = -90/30

m = -3

Recall that the slope of a linear relationship is the "unit rate of change". In other words, the slope of -3 means that the temperature declines by 3°C for every 1 km of additional altitude.

Since the altitude at which the temperature is -50°C is needed, the value of x such that (x, -50°C) is on this line is needed. To find x, simply use the slope formula again, using either of the other two points:

Slope formula using (50,10) and (x,-50) -

m = (y2 - y1)/(x2 - x1)

-3 = (-50 - 10)/(x - 50)

-3(x - 50) = -60

-3x + 150 = -60

-3x = -60 - 150

-3x = -210

x = -210/-3

x = 70

Therefore, the altitude will be 70 km.

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Option C is correct.  Less than 100  is closest to total deaths resulting from ladder misuse each year.

According to the Consumer Product Safety Commission (CPSC), on average, approximately 300 people die each year in the United States from falls involving ladders.

However, not all of these deaths are due to ladder misuse. In fact, the number of deaths resulting specifically from ladder misuse is likely to be lower. It is estimated that a significant portion of ladder-related fatalities are caused by factors such as overreaching, misusing the ladder, or failing to follow proper safety guidelines.

To reduce the number of deaths and injuries resulting from ladder misuse, it is important to follow safety guidelines and to choose the right ladder for the job, taking into consideration factors such as height, weight, and stability.

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The court should not rule in favor of the owner, as the ordinance is likely constitutional. The ordinance is likely to be upheld as an exercise of the city's police power, which grants local governments the authority to pass laws and regulations in the interests of public health, safety, and welfare.

Furthermore, the ordinance does not appear to be an unreasonable exercise of the city's police power, as the installation of seismographic equipment is likely to benefit the public interest by providing early warning in the event of an earthquake. Moreover, the ordinance does not appear to be overly burdensome on the owner, as the cost of the purchase and installation of the equipment is to be borne by a private university, and the owner will not be compensated.

In short, the ordinance does not appear to be an unconstitutional taking of private property, as the owner's burden is minimal and the public benefit is substantial.

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The admissions office wishes to estimate the average cost of textbooks for all students, represented by the parameter μ (the population mean).

There are steps followed to determine the parameter the admissions office wishes to estimate:

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Expected length = 6 meter.

Using the formula,

  A = W × L

where,

Area (A) = 24

Width (W) = 4

Length (L) = ?

so, A/W = 24/4 = 6

Hence, length of the rectangle is 6 meter.

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The answer is D.

The portion of the statement [tex]{x\to 0}[/tex] says we're looking at the graph as the x-values get closer to 0.  So we're looking at x-values like 0.1, 0.01, 0.001, 0.0001, etc and -0.1, -0.01, -0.001, -0.0001, etc.

The [tex]\lim\limits_{x\to 0}f(x)[/tex][tex]\lim\limits_{x\to 0}f(x) = 1[/tex] as a whole is asking "are the y-values on the graph headed towards a specific y-value as x-values get closer to 0?"

As you move towards x = 0 from either side, the y-values get closer to y=1.

So [tex]\lim\limits_{x\to 0}f(x)=1[/tex].

The two equations representing the costs are 10 + 5x and 15 + 4.5x.

If a system of equations only contains two linear equations with two variables, the system's equation can be graphed, the graph will have two straight lines, and the intersection point(s) of those lines will be the system's solution.

There are only three matching forms of solution for a given system of equations because there are only three different ways that two straight lines in the plane can graph.

Let, 'x' be the number of pizzas.

Therefore, From the given information the two linear equations we can form is, 10 + 5x and 15 + 4.5x.

As the delivery charges for both the stores is a constant.

We can determine the number of pizzas when the cost for both options would be the same by equating these two equations.

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The value of derivative is approximated by tan(pi/4 + 0.0001) - 1 / 0,0001 is pi / 4 by limits and continuity.

Let the given expression be some I (say)

then , I = tan(pi/4 + 0.0001) - 1 / 0,0001

         we know that tan(pi/4) = 1

hence replace 1 by tan(pi/4) in the above expression,

         I = tan(pi/4 + 0.0001) - tan(pi/4) / 0,0001

Now, tan (I) = limx→0 tan(I+x) - tan(I) / x

in this case , x = 0.0001 and I = pi/4

Therefore , the derivative is approximated by tan(pi/4 + 0.0001) - 1 / 0,0001 is at pi/4.

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Answer:

I think the answer is 5y-8-2.5z

Cardinality of the power set of the given set = 64

Power set is the set of all the possible subsets that can be formed from the given set including the null set and the set itself.

Example set:

{1,2,3}

All the possible subsets of this set:

{}; {1}; {2}; {3}; {1,2,3}; {1,2}; {1,3}; {2,3}

The power set of the above set is written as:

P({ {}, {1}, {2}, {3}, {1,2}, {1,3}, {2,3}, {1,2,3} })

Since the no. of elements in the above power set in this example is 8 therefore its cardinality is 8.

Cardinality of the power set of a given set is expressed by a formula:

where n is the cardinality (no. of elements) of the given set whose power set is to be formed for determining cardinality of the power set.

Hence in the given case, we have  n = 6.

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The correct option:  A) Completely randomized design: Randomly assign the treatments to the dogs.

"Any randomized design is regarded as a form of experiment that is assigned to various treatments by carrying out various experiments on various groups.

The answer to the query is

Therefore, we get to the conclusion that the treatment given to the dogs at random is the best course of action.

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Salut/Hello!

Answer: C. SAS~

Step-by-step explanation:
I left a photo for you so you can tell what I'm talking about.

1. The angles are equal because they are opposites.
2. Side AE is congruent with side ED.
3. Side BE is congruent with side EC.

I hope it was helpful! :]

Answer: SAS~

Step-by-step explanation:

I recommend hiring "Pane "less Window Cleaners since it's less expensive compared to Sunshine Express Window Cleaners.

I recommend hiring "Pane "less Window Cleaners". This is because for a fixed number of windows, "Pane "less Window Cleaners" is less expensive compared to Sunshine Express Window Cleaners. The difference in cost can be calculated by subtracting the cost of "Pane "less Window Cleaners" from that of Sunshine Express Window Cleaners.

For example, for 10 windows, the cost of Sunshine Express Window Cleaners is $50 + 10 * $10 = $150, whereas the cost of "Pane "less Window Cleaners" is $25 + 10 * $15 = $175.

Therefore, the difference in cost is $175 - $150 = -$25, meaning that "Pane "less Window Cleaners" is cheaper. This recommendation is reasonable because it provides the best value for their money.

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Answer:

Third option

Step-by-step explanation:

If the polynomial has a factor of the form  [tex](x - h)^p,[/tex] the behavior of its graph is determined by the value of p. p .

One zero of the polynomial is x = h

x - h is a zero of multiplicity p

The following is a summary of rules regarding multiplicities and x-intercepts.

The given polynomial is:
[tex]\mbox {\large \textsf(x - 1)^2(x+3)(x + 5)^5}}[/tex]

The zeros can be found by setting each of these factors to 0 and solving for x
x - 1 = 0 ==> x = 1
x + 3 = 0 ==> x == -3

x + 5 = 0 ==> x = -5

Hence, the zeros of this polynomial are

Using the rules provided we see that the graph

This corresponds to
Third option

The total weight of the truck is 7,500 pounds and the full load weighs 2775.

This is a simple subtraction problem and we can easily find out the required values by subtracting the correct values. It has been mentioned that the Truck can carry 7500 pounds and that the Truck's weight is 4725 pounds.

The weight of the load can be calculated as follows-

= 7500 - 4725 pounds

= 2775 pound

So, the total weight of the truck same as its total capacity with which it can carry, that is, 7500 pounds, and the weight of its full load which can be put in the truck is 2775 pounds.

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Line through (2,4,5) perpendicular to plane 3x-7y+5z=21 found by finding normal vector <3,-7,5> and direction vector <0,5,-3> from cross product. Parametric equation is r(t)=<2,4,5>+t<0,5,-3>.

What is plane ?

A plane is a Euclidean, two-dimensional surface that extends indefinitely. A plane is the two-dimensional analogue of a point, a line and three-dimensional space.

The normal vector is given by the coefficients of x, y, and z in the equation of the plane:

n = <3, -7, 5>

Next, we need to find a point on the line and a direction vector for the line. The point on the line is (2, 4, 5) and the direction vector can be found by taking the cross product of the normal vector and an arbitrary vector not parallel to the normal vector.

An arbitrary vector not parallel to the normal vector could be <1, 0, 0>. Taking the cross product, we get:

d = n x <1, 0, 0> = <0, 5, -3>

So, the line through (2, 4, 5) perpendicular to the plane 3x - 7y + 5z = 21 is given by:

r(t) = <2, 4, 5> + t<0, 5, -3> = <2 + 0t, 4 + 5t, 5 - 3t>

Line through (2,4,5) perpendicular to plane 3x-7y+5z=21 found by finding normal vector <3,-7,5> and direction vector <0,5,-3> from cross product. Parametric equation is r(t)=<2,4,5>+t<0,5,-3>.

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a. Plot the points (-3, 17) and (-1, 1) and draw a line through them.

b. Plot the points (-3, -14/3) and (-1, -2/3) and draw a line through them.

c. Plot the points (3, 2) and (5, 4) and draw a line through them.

a. Point slope form equation for a line with slope m that passes through a point (x1, y1) is given by:

y - y1 = m(x - x1)

Using the given point (-2, 5) and slope -6, we have:

y - 5 = -6(x + 2)

Graph: The graph of the line can be drawn by finding two points on the line and plotting them, then drawing a line through the points.

For example, to plot the line when x= -3 and x = -1, we can substitute the respective x-values into the equation to find the corresponding y-values, then plot the points:

when x = -3, y = -3 * -6 + 5 = 17

when x = -1, y = -1 * -6 + 5 = 1

Plot the points (-3, 17) and (-1, 1) and draw a line through them.

b. Using the given point (-2, -8) and slope 5/6, we have:

y + 8 = (5/6)(x + 2)

Graph: Plotting the line using the same steps as above, for example, when x= -3 and x = -1,

when x = -3, y = (5/6)(-3 + 2) - 8 = -14/3

when x = -1, y = (5/6)(-1 + 2) - 8 = -2/3

Plot the points (-3, -14/3) and (-1, -2/3) and draw a line through them.

c. Using the given point (4, 3) and slope -1/2, we have:

y - 3 = -1/2 (x - 4)

Graph: Plotting the line using the same steps as above, for example, when x= 3 and x = 5,

when x = 3, y = -1/2 (3 - 4) + 3 = 2

when x = 5, y = -1/2 (5 - 4) + 3 = 4

Plot the points (3, 2) and (5, 4) and draw a line through them.

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The probability the that red ball was moved is 1/100

Given that there are two bags. Bag A contains 1 red ball and 9 blue balls. Bag B contains 10 blue balls. A ball is chosen at random from bag A and placed into bag B. Then a ball is chosen at random from bag B and placed into bag A. After this process, the red ball is in bag A and we are asked to find the probability that it was moved.

Probability of the red ball chosen from bag A = 1/10

Probability of the red ball chosen from bag B = 1/10

After this process, the red ball is in bag A, the probability that it was moved.

                              1/10 × 1/10 = 1/100

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The displacement made by the cyclist is 0, this is caused by the same path traveled by the cyclist.

Displacement is the change in position of a moving object relative to a frame of reference. That is, locking is a change in the initial position of the object to the final position of the object.

The displacement in this case is calculated by the Pythagorean theorem.

Displacement² = S₁² + S₂²

The displacement will be zero when the start and end points are the same, that's what makes the problem zero. In the question, the distance traveled by the rider is 45 km, but because there is no position lock because the rider is traveling the same path, the closing done by the cyclist is 0.

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Total metal needed to cast a cubical metal box with exterior edge length 12 inches and thickness 3 inches is equal to 999cubic inches.

Length of the exterior edge of the cubical metal box = 12 inches

Thickness of the wall of cubical metal box = 3 inches

Length of the interior edge of the cubical metal box

= 12 inches - 3 inches

= 9 inches

Volume of the exterior cubical metal box = 12³

                                                                     = 1728 cubic inches

Volume of the interior cubical metal box = 9³

                                                                     = 729cubic inches

Total metal required to cast a cubical metal box

= (Volume of the exterior - Volume of the interior )cubical metal box

= (1728 - 729 )cubic inches

= 999 cubic inches

Therefore, the total metal required to cast a cubical metal box is equal to 999 cubic inches.

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Answer:

Therefore the transformation is a dilation of Figure a by a scale factor of -2

Step-by-step explanation:

Take any point on figure A and see what its coordinates are

Take the corresponding point on figure B and see what its coordinates are

This will give you an idea of what transformation has taken place

In figure A, take point (1, 3)

The corresponding point in Figure B is (-2, -6)

This is a dilation of the point (1, 3) by a scale factor of -2 since -2 x (1, 2) = (-2, -6)

The other points are similarly dilated

(3, 3) ==> (-6, -6)

(3, 4) ==> (-6, -8)

Therefore the transformation is a dilation of Figure a by a scale factor of -2

the z-value for an apple that weighs 140 grams is 1.5.

The z-value is used to determine how many standard deviations an observation is from the mean of a normal distribution. To find the z-value for an apple that weighs 140 grams, we need to calculate the difference between the apple's weight and the mean weight, and divide by the standard deviation.

Given that the average weight of a honeycrisp apple is 110 grams and the standard deviation is 20 grams, we can calculate the z-value as follows:

(140 - 110) / 20 = 1.5

This means that the apple that weighs 140 grams is 1.5 standard deviations above the mean weight of 110 grams. This information can be used to calculate the probability of finding an apple with a weight of 140 grams. For example, if we use a standard normal distribution table, we can find that the probability of finding an apple with a weight greater than 140 grams is 0.0668, or 6.68%.

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Hire purchase is a method of purchasing goods in which the retailer arranges for a lending firm to collect a down payment from you and you pay the remaining balance in monthly instalments.

A hire purchase, often referred to as an instalment plan, is a deal where a client accepts a contract to buy an item by making a down payment and paying the remaining amount of the asset's price plus interest over time.

Hire purchase is a method of purchasing goods in which the retailer arranges for a lending firm to collect a down payment from you and you pay the remaining balance in monthly instalments.

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For given expression n-8>=10 to be true, n>=18.

Mathematical statements are called expressions if they have at least two terms that are related by an operator and contain either numbers, variables, or both. Addition, subtraction, multiplication, and division are all possible mathematical operations. As an illustration, the phrase x + y is one where x and y are terms with an addition operator in between. There are two sorts of expressions in mathematics: numerical expressions, which only contain numbers, and algebraic expressions, which also include variables.

e.g. The other number is x, and a number is 6 greater than half of it. In a mathematical expression, this proposition is denoted by the expression x/2 + 6. Complex riddles are solved using mathematical expressions.

Now

Given

The difference of a number (n) and 8 is no less than 10.

We can write this as expression n-8>=10,

and for this to be true n>=18.

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At the value of c = 21 (approx) for which the area enclosed by the curves y = c - x^2 and y = x^2 - c is equal to 128.

The curves are  y = c - x^2 and y = x^2 - c

The area enclosed by these curves is 128.

We must determine the x-coordinates of the places of intersection in order to determine the bounds of integration:

c - x^2 = x^2 - c

Subtract c on both side, we get

-x^2 = x^2 - 2c

Subtract x^2 on both side, we get

-2x^2 = -2c

Divide by -2 on both side, we get

x^2 = c

Taking square root on both side, we get

x = ±√c

The between the curve is given by

[tex]\int\limits^{\sqrt{c}}_{-\sqrt{c}}{[(c-x^2)-(x^2-c)]} \, dx[/tex] = 128

Simplify

[tex]\int\limits^{\sqrt{c}}_{-\sqrt{c}}{(c-x^2-x^2+c)} \, dx[/tex] = 128

[tex]\int\limits^{\sqrt{c}}_{-\sqrt{c}}{(2c-2x^2)} \, dx[/tex] = 128

[tex]2\int\limits^{\sqrt{c}}_{-\sqrt{c}}{(c-x^2)} \, dx[/tex] = 128

Now integrating with respect to x

[tex]2\left(cx-\frac{x^3}{3}\right)^{\sqrt{c}}_{-\sqrt{c}}[/tex] = 128

[tex]2\left[\left(c(\sqrt{c})-\frac{(\sqrt{c})^3}{3}\right)-\left(c(-\sqrt{c})-\frac{(-\sqrt{c})^3}{3}\right)\right][/tex] = 128

[tex]2\left[\left(c(\sqrt{c})-\frac{(\sqrt{c})^3}{3}\right)-\left(-c\sqrt{c}+\frac{(\sqrt{c})^3}{3}\right)\right][/tex] = 128

[tex]2\left[c\sqrt{c}-\frac{(\sqrt{c})^3}{3}-c\sqrt{c}-\frac{(\sqrt{c})^3}{3}\right][/tex] = 128

[tex]2\left[-\frac{2(\sqrt{c})^3}{3}\right][/tex] = 128

[tex]-\frac{4}{3}(\sqrt{c})^3[/tex] = 128

[tex]-\frac{4}{3}(c\sqrt{c})[/tex] = 128

Multiply by -3/4 on both side, we get

c(√c) = -96

Square on both side, we get

c^2(c) = 9216

c^3 = 9216

Taking cube root on both side, we get

c = 20.97

c = 21 (approx)

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The complete question is:

Find the value of c for which the area enclosed by the curves y = c - x^2 and y = x^2 - c is equal to 128.

His dog casts a shadow of 6ft at 6 pm if it casts a 2ft shadow at noon.

A man casts a 3 ft shadow at noon and a 9 ft shadow at 6 pm.

His dog casts a 2 ft shadow at noon.

Therefore we can find the length of shadow casts by his dog at 6 pm as follows:

Length of the shadow of a man at noon/length of the shadow of a man at 6 pm = length of the shadow of his dog at noon/length of the shadow of his dog at 6 pm

⇒3/9 = 2/length of the shadow of his dog at 6 pm

⇒length of the shadow of his dog at 6 pm = (2 × 9)/3

⇒length of the shadow of his dog at 6 pm = 6 ft

Hence, the shadow cast by his dog at 6 pm will be 6 ft.

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The double integral is used to calculate the area of a region enclosed by two curves.

The region is bounded by the curves x = 1, y = 0, x = 3 and y = [tex]3x2 - 9x2y2[/tex]. In this case, the double integral is given by the expression [tex]∫10∫312x3 - 9x2y2 dy dx.[/tex]

In order to calculate the double integral, the iterated integral method is used. This involves integrating the inner integral with respect to y first, and then integrating the outer integral with respect to x.

The first step is to integrate the inner integral with respect to y. This gives us the expression [tex]∫0 3 (12x3 - 9x2y2) dy[/tex]. After integrating with respect to y, we then integrate the outer integral with respect to x. This gives us the expression [tex]∫10 ∫0 3 (12x3 - 9x2y2) dy dx.[/tex]

The result of this double integral is the area of the region bounded by the two curves. The result of the double integral is therefore the area of the region bounded by the two curves. The result of the double integral is therefore the area of the region enclosed by the two curves. The result of this double integral is the area of the region bounded by the two curves.

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The new coordinates of the point will be (2, -3).

Coordinate is a system used to determine the exact location of a point on a 2-dimensional plane or 3-dimensional space. It is typically used to pinpoint a specific spot on a map or graph. Coordinate systems are usually written in two or three numbers, representing the x, y and z positions of the point. These coordinates can then be used to calculate distances, angles and other measurements.

After the transformation D5 o R270-, the image point of (-3, 4) will be (2, -3). The transformation D5 is a dilation, which changes the distance between the origin and the point by a factor of 5. The transformation R270- is a rotation by 270 degrees counter-clockwise, which moves the point to the left and up by the same distance. Therefore, the new coordinates of the point will be (2, -3).

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As per the branch and bound method, the optimal solution of IP is (0,6.5).

The term called branch and bound method is defined as an algorithm design paradigm which is generally used for solving combinatorial optimization problems

Here we have know that following equation and they are written as,

=> z = 7x₁ + 3x₂

=> 2x₁ + x₂ ≤ 9

=> 3x₁ + 2x₂ ≤ 13

where the value of x₁, x₂ ≥ 0 and the value of x₁, x₂ integer

In order to solve this one then we have to make the table for each of the constraint given here.

Then we get,

=> 2x₁ + x₂ ≤ 9

When x₁=0 then x₂=?

⇒2(0)+ x₂ =9

⇒x₂=9

Similarly When x₂=0 then x₁=?

⇒2x₁+(0)=9

⇒2x₁=9

⇒x₁= 9/2 = 4.5

Then the table for the constraint is written as

x₁ 0 4.5

x₂ 9 0

Similar way the table for the constraint 3x₁ + 2x₂ ≤ 13 is written as,

x₁ 0 4.33

x₂ 6.5 0

When we plot the graph, then we get the graph like the following.

The value of the objective function at each of these extreme points is as follows:

Extreme Point                       Lines through                      Objective

Coordinates                          Extreme Point                     function value

(x1,x2)                                                                      Z=3x1+5x2

O(0,0)                                 3→x1≥0,4→x2≥0             3(0)+5(0)=0

A(4.33,0)                                 2→3x1+2x2≤13 4→x2≥0     3(4.33)+5(0)=13

B(0,6.5)                                 2→3x1+2x2≤13 3→x1≥0     3(0)+5(6.5)=32.5

Here the maximum value of the objective function Z=32.5 occurs at the extreme point (0,6.5).

Hence, the optimal solution to the given LP problem is : x1=0,x2=6.5 and max Z=32.5.

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