find the
volume or air
4m
by
5m which is only 3m
high

Answer:

-q^2-q+72

Step-by-step explanation:

We can use the FOIL (First Outer Inner Last) method for this. First, multiply 9*8 (72). Then, multiply 9*-q(-9q). After that, multiply q*8 (8q). Finally, multiply q*-q(-q^2). Arrange the different terms:

-q^2-9q+8q+72

Finally, combine like terms:

-q^2-q+72

Hope this helps!

Answer:

\(x^3-5x^2+10x-14\)

Step-by-step explanation:

\(\left(2x^3-5x^2+3x-10\right)-\left(x^3-7x+4\right)\)

Remove brackets:

\(2x^3-5x^2+3x-10-x^3+7x-4\)

Group similar terms together:

\(2x^3-x^3-5x^2+3x+7x-10-4\)

Add/Subtract the terms:

\(x^3-5x^2+10x-14\)

Answer:

Step-by-step explanation:

( 2X³ - 5X² + 3X - 10 ) - ( X³ - 7X + 4 )

2X³ - 5X² + 3X - 10 = X² - 10

X³ - 7X + 4 = - 7X² + 4

X² - 10 - - 7X² + 4 =

X² - 10 + 7X² + 4 =

THE ANSWER IS

8X⁴ - 6

Answer:

I believe the number is 4.7

The probability that a bottle selected at random will contain at least one defect can be found using the complement probability of having no defect.

Let us denote the probability of having at least one defect in a bottle as P(A). P(A') is the probability of not having any defect in the bottle. Since the probability of an event occurring plus the probability of it not occurring is equal to 1, then \(P(A') = 1 - P(A).\)

Thus, the probability of having no defect in a bottle is

\(P(A') = (1 - 0.00001) = 0.99999\)

.Since a bottle has either no defect or at least one defect,

\(P(A) = 1 - P(A') = 1 - 0.99999 = 0.00001.\)

Therefore, the probability that a bottle selected at random will contain at least one such defect is \(0.00001 or 1/100,000.\)

This means that on average, only 1 bottle in 100,000 will contain such a defect.

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Answer: Therefore, it is proven that any number or expression raised to the power of zero is always equal to 1. In other words, if the exponent is zero then the result is 1.

Step-by-step explanation: have a good day!

Answer:

C = 7.72 ~ 7.7

Step-by-step explanation:

So when you solve this equetion you must 1st find x then c

we can find x by using cos(60)

cos(60) = x/14

x = cos(60) × 14

x = 1/2 ×14

x = 7

so after we find x we are going to solve c by using cos (25)

cos (25) = X/C = 7/c

cos(25) × C = 7

C = 7/cos (25)

C = 7.72 ~ 7.7

so the solution is 7.7

The height and radius that minimize the amount of material needed to manufacture the can are given by h = 500 / ((500/π)^(2/3)) , r = (500/π)^(1/3)

To minimize the amount of material needed to manufacture the can, we can consider the volume of the cylindrical can as the objective function to minimize.

Let's denote the height of the can as "h" and the radius of the base as "r". The volume of a cylinder is given by the formula V = πr^2h, where V is the volume, r is the radius, and h is the height.

We need to find the values of r and h that satisfy the condition of holding 500 cm^3 of liquid while minimizing the surface area of the can. The surface area of the can consists of the curved surface area and the area of the circular base.

To minimize the surface area, we can use the constraint that the volume is 500 cm^3 to eliminate one variable.

From the volume equation, we have:

πr^2h = 500

Solving for h, we get:

h = 500 / (πr^2)

Now, we can substitute this value of h in terms of r into the surface area formula, which is given by:

A = 2πrh + πr^2

Substituting the value of h, we have:

A = 2πr(500 / (πr^2)) + πr^2

A = (1000/r) + πr^2

To minimize the surface area, we need to find the value of r that minimizes A. We can do this by finding the critical points of A, which occur when the derivative of A with respect to r is equal to zero.

Differentiating A with respect to r, we have:

dA/dr = -1000/r^2 + 2πr

Setting this derivative equal to zero and solving for r, we get:

-1000/r^2 + 2πr = 0

-1000 + 2πr^3 = 0

2πr^3 = 1000

r^3 = 500/π

r = (500/π)^(1/3)

Substituting this value of r back into the equation for h, we get:

h = 500 / (π((500/π)^(1/3))^2)

h = 500 / ((500/π)^(2/3))

Therefore, the height and radius that minimize the amount of material needed to manufacture the can are given by:

h = 500 / ((500/π)^(2/3))

r = (500/π)^(1/3)

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Answer:104

Step-by-step explanation:

104+75=180

If the keys were accidentally dropped from the top of the Capital Gate Tower, they would land approximately 51.84 meters away from the base of the tower.

The Capital Gate Tower in Abu Dhabi, built in 2011, stands tall at a height of 150 meters, measured vertically from the ground. Assuming the tower remains perfectly vertical, we can calculate the distance from the base where the keys would land if accidentally dropped.

Given that the angle between the tower and the ground is 72 degrees, we can use trigonometry to determine the horizontal distance traveled by the keys.

Since the height of the tower acts as the opposite side of the triangle, and the distance we are looking for is the adjacent side, we can use the tangent function.

tan(72 degrees) = height / distance

Rearranging the formula, we get:

distance = height / tan(72 degrees)

Plugging in the values, we have:

distance = 150 / tan(72 degrees) ≈ 51.84 meters

Therefore, if the keys were accidentally dropped from the top of the Capital Gate Tower, they would land approximately 51.84 meters away from the base of the tower.

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The probable question may be:

Built in 2011, the Capital Gate Tower,Abu Dhabi is 150 meters tall (measured vertically from the ground) and makes a 72" angle with the ground. If you were to climb to the top and then accidently drop your keys, how far from the base of the tower would they land?

Answer:

A = Rs 48,000

B = Rs 24,000

C = R2 8,000

Step-by-step explanation:

To solve this problem, create and solve a system of linear equations using the given information.

From the given information:

Therefore, the system of linear equations is:

\(\begin{cases}A=2B\\B=3C\\A+B+C=80000\end{cases}\)

Substitute the second equation into the first to create and equation for A in terms of C:

\(\begin{aligned}A &= 2B\\&=2(3C)\\&=6C\end{aligned}\)

Substitute this and the second equation into the third equation and solve for C:

\(\begin{aligned}A+B+C&=80000\\6C+3C+C&=80000\\10C&=80000\\C&=8000\end{aligned}\)

Now that we have found the monthly income of person C, substitute this value into the expressions for A and B to calculate the monthly incomes of persons A and B:

\(\begin{aligned}A &=6C\\&=6(8000)\\&=48000\end{aligned}\)

\(\begin{aligned}B &=3C\\&=3(8000)\\&=24000\end{aligned}\)

Therefore, the monthly income of each person is:

Therefore, number of strings can be made by using 4 lower case english letters is 66,351 strings.

Combination refers to an arrangement of objects where the order is not crucial. Contrary to permutation, where the order is important. Consider how the letters A, B, and C would be arranged. ABC and ACB are not the same arrangement in a permutation.

Here,

Repetition is permitted as long as we're only looking at lowercase letters.

Number of strings of length 4=\(26^{4}\)

Other than x, how many strings of length 4 exist=\(25^{4}\)

 \(26^{4}\)- \(25^{4}\)=66,351 strings.

Therefore number of strings can be made by using 4 lower case english letters is 66,351 strings.

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To calculate the volume left unoccupied in the cylinder, we need to subtract the volume of the ball from the volume of the cylinder.

The volume of the cylinder can be calculated using the formula:

V_cylinder = π * r^2 * h

where π is the mathematical constant (approximated as 3.14), r is the radius of the cylinder, and h is the height of the cylinder.

Given that the cylinder has a height of 8 inches and a radius of 3 inches, we can calculate its volume:

V_cylinder = 3.14 * 3^2 * 8

V_cylinder = 3.14 * 9 * 8

V_cylinder = 226.08 cubic inches

Next, let's calculate the volume of the ball. The formula for the volume of a sphere is:

V_sphere = (4/3) * π * r^3

where r is the radius of the sphere.

Given that the ball has a diameter of 5 inches (radius = 2.5 inches), we can calculate its volume:

V_sphere = (4/3) * 3.14 * 2.5^3

V_sphere = (4/3) * 3.14 * 15.625

V_sphere = 65.45 cubic inches (rounded to two decimal places)

Volume left unoccupied = V_cylinder - V_sphere

Volume left unoccupied = 226.08 - 65.45

Volume left unoccupied = 160.63 cubic inches (rounded to two decimal places)

Therefore, approximately 160.63 cubic inches of volume is left unoccupied in the cylinder.

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Answer:

The answer would be x =10

Step-by-step explanation:

Fill in 10

You welcome

The value of x in the figure ABCD is 10.

We know that rhombuses are a particular type of quadrilateral in Euclidean geometry. It is a unique instance of a parallelogram in which the diagonals meet at a 90-degree angle and all sides are equal.

Since the side lengths of a rhombus are equal, so the lengths of AB and DC are equal.

Now, 3x - 11 = x + 9

i.e. 3x - x = 9 + 11

i.e. 2x = 20

i.e. x = 10

Therefore the value of x in the figure ABCD is 10.

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Answer:

a = -2b + 3c

Step-by-step explanation:

Step 1: Subtract 2b from both sides.

Therefore, the answer is a = -2b + 3c.

The length of the ribbon Lilly Mae glues around her clock would be approximately 62.8 cm. To calculate the length of the ribbon, we need to know the circumference of the clock.

The circumference is the distance around the edge of the circle, and it can be found using the formula C = 2πr, where r is the radius of the circle and π is approximately equal to 3.14.

If Lilly Mae measures the length of the radius of her bedroom clock, she can simply double that measurement to get the diameter of the clock. Then, she can use the formula above to calculate the circumference:

C = 2πr

C = 2π(radius)

C = 2(3.14)(radius)

C = 6.28(radius)

So if the radius of Lilly Mae's clock is, for example, 10 cm, then the circumference would be:

C = 6.28(10)

C = 62.8 cm

Therefore, the length of the ribbon Lilly Mae glues around her clock would be approximately 62.8 cm.

It's important to note that the value of π is an irrational number, which means it has an infinite number of decimal places and cannot be expressed as a fraction. Therefore, we typically use an approximation of π, such as 3.14, in calculations involving circles.

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She need 5 minutes to reach each page.

In mathematics, the absence of acceleration is referred to as a constant rate. A function that has a constant rate typically has a second derivative of 0.

The function would be plotted as a straight line on a piece of graph paper if the change in y (or rate) were constant. When anything moves at a fixed, steady pace or at an average speed, it is said to be moving at a constant rate, also known as a uniform rate. For instance, 3 hours pass while driving. In the first hour, it travels 30 miles, in the second hour, 45 miles, and in the third hour, 75 miles.

Given,

time she needs to read 8 pages = 40 minutes

time she needs to read 1 pages = 40/8

=5 minutes

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Answer:

hope it helps...any queries comment me!!!

The value of 165 pounds is 74.8 kilograms

The given parameter is:

1 kilogram = 2.205 pounds

Multiply both sides by 165

So, we have

165 * 1 kilogram = 2.205 pounds * 165

Divide both sides by 2.205

So, we have

165/2.205 * 1 kilogram = 2.205 pounds * 165/2.205

Evaluate the products

So, we have

74.8 kilogram = 165 pounds

Rewrite as

165 pounds = 74.8 kilogram

Hence, the value of 165 pounds is 74.8 kilograms

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A plasmid used in both yeast and bacteria requires two different selection markers because the same selection may not work for both hosts and bacteria and yeast recognize different promoters.

When using a plasmid in both yeast and bacteria, it is important to have two different selection markers for several reasons. First, the same selection, such as the presence of an antibiotic, may not be effective in both hosts. Different organisms have varying sensitivities to antibiotics, so a marker that works in bacteria may not work in yeast or vice versa. Therefore, two different selection markers are needed to ensure successful selection in both hosts.

Additionally, bacteria and yeast recognize different promoters, which are DNA sequences that control the initiation of gene expression. Promoters are specific to each organism and play a crucial role in regulating gene expression. By incorporating two different selection markers into the plasmid, each marker can be driven by a promoter recognized specifically by the corresponding host. This ensures that the selection marker is effectively expressed in the appropriate host organism, enabling accurate selection and maintenance of the plasmid.

In summary, using two different selection markers in a plasmid intended for both yeast and bacteria is necessary because the same selection may not be effective in both hosts, and different promoters are recognized by bacteria and yeast. This approach allows for successful selection and maintenance of the plasmid in both organisms.

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The standard deviation is the square root of the variance. Therefore, in this case, the standard deviation is the square root of 9, which is equal to 3. So the answer is a) 3.

The standard deviation is a statistical measure of how far a set of data values deviates from the mean (average) of the data set. It assesses how dispersed the data is in relation to the mean. In other words, it informs us how far the individual data points depart from the data set's average. A large standard deviation implies that the data is widely dispersed from the mean, whereas a small standard deviation suggests that the data is tightly grouped around the mean. Standard deviation is symbolised by the symbol σ for the population and s for a sample. It is widely used to analyze and understand data in a variety of domains, including finance, economics, physics, biology, and social sciences.

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The total amount that would be found in the account after 4 years, would be $ 641. 69

The total amount after 4 years in Arik's account can be found by the formula :

= A = Amount invested x ( 1 + r /n )ⁿ

The variables are:

Amount invested = $ 500

r = 6.25% = 0. 0625

n = 12

t = 4 years

The total amount is then :

A = 500 x ( 1 + 0. 0625 / 12 ) ^ ⁽¹² ˣ ⁴ ⁾

A = $ 641. 69

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The exponential function f with base b is defined by f(x) = bˣ, b > 0, and b ≠ 1. Using interval notation, the domain of this function is (-∞, ∞) and the range is (0, ∞).

As an exponential function is defined for all real numbers, its domain is all real numbers, which can be written as (-∞, ∞), in interval notation.

Yet, the range of an exponential function is never zero.

This is due to the fact that the outcome of raising any real number to a positive power, as the exponential function does, will always be greater than 0. As a result, the exponential function with base b has a range of (0, ∞).

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The sides of the triangle are 17, 19 and 21 and 19 is middle of the three side lengths.

What are triangles?

Let the side of triangle = x

x-2, x, x+2 are the three sides and their sum is 3x.  

3x = 57

 x = 57/3

 x = 19.

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Answer:0

Step-by-step explanation:anything divided or multiplied by zero is zero for example how many times does 6 go into 0? ....zero!

Sarah practiced 7/20 hours longer than Eloise.

According to the question,

We have the following information:

Eloise practiced piano for 2/5 of an hour. Sarah practiced for 3/4 of an hour.

We have to find how longer did Sarah practiced than Eloise.

We can easily find this by subtracting the number of hours practiced by Eloise from the number of hours practiced by Sarah.

So, we have the following expression:

3/4 -2/5

Now, we can subtract these fractions only when the denominators of these fractions are same.

(3*5-2*4)/20

(15-8)/20

7/20 hours

Hence, the number of hours practiced by Sarah is 7/20 hours longer than the hours practiced by Eloise.

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Answer:

$22500

Step-by-step explanation:

principal=$12000

time=15 years

rate=\(12\frac{1}{2}\)

=12*2+1/2

=25/2

=12.5

Interest=PTR/100

=$12000*15*12.5/100

=$2250000/100

=$22500

x-3 = 8×4

x-3 = 32

x = 32+3

x = 35

The closest distance the family will come to the landmark while on the road is 12.03 miles.

Here, the situation represented in the question can be depicted as shown in the image below.

The family moves from F1 to F2 as the angle changes from 62 to 38.

Now, using trigonometric ratios in the smaller triangle we have-

Cot 62 = X/Y

X = Y Cot 62

Similarly, Cot 38 = (X + 9)/ Y

Substituting the value of X in the above equation we get-

Y Cot 38 = (Y Cot 62 + 9)

Y Cot 38 - Y Cot 62  = 9

Y(Cot 38 - Cot 62) = 9

Y = 9/ (Cot 38 - Cot 62)

Y = 9/ (1.2799 - 0.5317)

Y = 9/ 0.7482

Y = 12.028

Thus, the closest distance the family will come to the landmark while on the road is 12.03 miles.

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Answer:

Using the section formula, if a point (x,y) divides the line joining the points (x

1

,y

1

) and (x

2

,y

2

) in the ratio m:n, then

(x,y)=(

m+n

mx

2

+nx

1

,

m+n

my

2

+ny

1

)

3AC=CB

CB

AC

=

3

1

Since, A(1,1) and B(2,3) & m:n=1:3

Therefore, we have

C(

m+n

mx

2

+nx

1

,

m+n

my

2

+ny

1

)

(

1+3

(1)(2)+3(1)

,

1+3

(1)(3)+3(1)

)

C→(

4

5

,

2

3

).

Answer: Law

Step-by-step explanation: you cant just disregard the law.