To find the surface area of a triangular prism, use the formula

S= 2B + Ph where B is the area of the base, P is the perimeter of the

bases, and h is the height of the prism.

The height of the prism is_____ft

The area of the base is_____ft

The perimeter of the base is_____ft

Fill in the formula. S= 2.____+____X_____

The surface area of the triangular prism is_____ft

The solutions of the equation f(x) = g(x) include the following: B. -3, 0, 2, -4.

In Mathematics and Geometry, a point of intersection simply refers to the location on a graph where two (2) lines intersect or cross each other, which is primarily represented as an ordered pair containing the point that corresponds to the x-coordinate (x-axis) and y-coordinate (y-axis) on a cartesian coordinate.

By critically observing the graph of the lines representing the given system of equations, we can reasonably and logically deduce that the correct solution set lies in both Quadrant II and IV and it is denoted by the point of intersection of both the x-coordinate (x-axis) and y-coordinate (y-axis), which is given by this ordered pair (-3, 0) and (2, -4).

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The values of x, y and z are given as follows:

Similar polygons are polygons that share these two features presented as follows:

There are two similar trapezoids for this problem, hence the proportional relationship for the side lengths is given as follows:

x/15 = 10/24 = y/16 = z/12.

Applying cross multiplication, the value of x is given as follows:

24x = 15 x 10

x = 15 x 10/24

x = 6.25.

The value of y is given as follows:

y = 16 x 10/24

y = 6.67.

The value of z is given as follows:

z = 12 x 10/24

z = 5.

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Answer:

Step-by-step explanation:

D=90°

E=147°

F= 33°

Answer:

your answer is -8

31 -31 = 0

-8 is left

Answer:

8

Step-by-step explanation:

Add 31 + 8 then subtract 31 because it’s a negative number

Answer:

False.

Step-by-step explanation:

The area = 1/2.b.h.

Answer:

wwwwwwwwwwwwwww

Step-by-step explanation:

15 ws

The third quartile is $10.6575, which means that 75% of all days the stock is below this value.

The range of the stock price is from $8.82 to $16.17, and the distribution is uniform, which means that the probability of the stock price being any value between the minimum and maximum is the same.

To find the third quartile, we need to find the value x such that 75% of the observations are less than or equal to x, and 25% of the observations are greater than or equal to x.

Since the distribution is uniform, we can find x by finding the value that separates the bottom 25% of the distribution from the top 75% of the distribution.

The bottom 25% of the distribution spans from $8.82 to some value x. Since the distribution is uniform, we can find x by setting the probability of the stock price being less than or equal to x to 0.25, which gives:

(x - 8.82) / (16.17 - 8.82) = 0.25

Solving for x, we get:

x - 8.82 = 0.25 * (16.17 - 8.82)

x - 8.82 = 1.8375

x = 10.6575

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The length of CD is 18 centimeters.

The length of XM is 24 / 3 = 8 centimeters.

The length of XC is 2/3 * 8 = 5.33 centimeters.

The length of MD is 24 / 4 = 6 centimeters.

The length of CD is 6 - 5.33 = 0.67 centimeters.

Therefore, the length of CD is 18 centimeters.

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In the first paragraph, I summarized the answer by stating that the length of CD is 18 centimeters. In the second paragraph, I provided an explanation of how I arrived at this answer. I first calculated the length of XM by dividing the length of XY by 3. I then calculated the length of XC by multiplying the length of XM by 2/3. I then calculated the length of MD by dividing the length of XY by 4. I then subtracted the length of XC from the length of MD to get the length of CD.

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The length of CD is 18 centimeters.

The length of XM is 24 / 3 = 8 centimeters.

The length of XC is 2/3 * 8 = 5.33 centimeters.

The length of MD is 24 / 4 = 6 centimeters.

The length of CD is 6 - 5.33 = 0.67 centimeters.

Therefore, the length of CD is 18 centimeters.

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In the first paragraph, I summarized the answer by stating that the length of CD is 18 centimeters. In the second paragraph, I provided an explanation of how I arrived at this answer. I first calculated the length of XM by dividing the length of XY by 3. I then calculated the length of XC by multiplying the length of XM by 2/3. I then calculated the length of MD by dividing the length of XY by 4. I then subtracted the length of XC from the length of MD to get the length of CD.

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Answer:

BODMAS

Step-by-step explanation:

5+2(3-1)

= 5 + 2(2)

= 5 + 4

= 9

*First calculate the sum inside the brackets which equals 2. Then multiply 2 with the answer which you got inside the bracket which equals 4. Then add the result with 5. The answer is 9

Bracket Of Division Multiplication Addition Subtraction

First solve the sums which are inside the brackets. Then solve the numbers which have powers with them. Then divide the numbers which have division signs with them. Then multiply the numbers which have multiplication signs with them. Then add the numbers which have addition signs with them. Lastly subtract the numbers which have subtraction signs with them.

Hope this helps!!

Answer: $48.72

Step-by-step explanation:

Based on the given conditions: 58*(20%+1)*(1-30%)

Calculate: 58*1.2*0.7

Round to the nearest cent: $48.72

(an astrix (*) means to multiply)

Answer: f(10) = -19

Step-by-step explanation:

1. Plug 10 into n

f(10) = -2(10) + 1

2. Multiply 10 by -2

f(10) = -20 + 1

3. Addition

f(10) = -19

To show that the vectors ⎡⎣⎢121⎤⎦⎥, ⎡⎣⎢131⎤⎦⎥, ⎡⎣⎢141⎤⎦⎥ do not span R3, we need to find a vector that cannot be expressed as a linear combination of these vectors.

One way to do this is to set up a system of equations and see if there is a solution for the coefficients. For example, let's try to express the vector ⎡⎣⎢010⎤⎦⎥ as a linear combination of the given vectors:

a⎡⎣⎢121⎤⎦⎥ + b⎡⎣⎢131⎤⎦⎥ + c⎡⎣⎢141⎤⎦⎥ = ⎡⎣⎢010⎤⎦⎥

This gives us the following system of equations:

a + b + c = 0
2a + 3b + 4c = 1
a + b + c = 0

We can see that the first and third equations are the same, so we only have two independent equations. This means that we cannot solve for all three coefficients, and therefore the vector ⎡⎣⎢010⎤⎦⎥ cannot be expressed as a linear combination of the given vectors.

Therefore, the vectors ⎡⎣⎢121⎤⎦⎥, ⎡⎣⎢131⎤⎦⎥, ⎡⎣⎢141⎤⎦⎥ do not span R3, as there is at least one vector (⎡⎣⎢010⎤⎦⎥) that is not in their span.

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The equation h(t) = -16t² + 24t is an illustration of a quadratic model

The equation that represents the path of the kick ball is given as

h(t) = -16t² + 24t

The fielder catches the ball at a height of 3 ft above the ground.

This means that:

h(t) = 3

So, we have:

-16t² + 24t = 3

Hence, the equation when the fielder catches the ball is -16t² + 24t = 3

In (a), we have:

-16t² + 24t = 3

Rewrite as:

-16t² + 24t - 3 = 0

Next, we determine the solutions of -16t² + 24t - 3 = 0 using a graphing technology

From the graph (see attachment), we have the following solutions

t = 0.14 and t = 1.36

Hence, the fielder will catch the ball after 0.14 seconds or 1.36 seconds

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Answer:

=4

Step-by-step explanation:

Answer:

The Answer is A

Step-by-step explanation:

58(0.2) = 11.6 + 58 = 69.6

it's a

now have a nice DaY

Answer:

$398.40 for 160 feet of lumber based on $2.49 per foot.

Step-by-step explanation:

Simply multiply 160 by 2.49 and get $398.40.

Answer:

f(-8) = 10

Step-by-step explanation:

f(x) = x + 18

f(-8) = -8 + 18 = 10

Answer: x = 2 hours y= 7 hours = 9 hours a week, 80$ a week

Step-by-step explanation:

5$x2=10$   10$x7=70$ 70$ + 10$ = 80 $.

hopefully, maybe that helps for the first question.

Answer: The number of crates  needed to store all the toys the warehouse received = \(12^4= 20736\)

Step-by-step explanation:

Given: Total number of toys = \(12^7\)

Number of toys in one crate = \(12^3\)

The number of crates  needed to store all the toys the warehouse received.

= (Total number of toys) ÷ (Number of toys in one crate)

\(=12^7\div 12^3 = 12^{7-3}\ \ \ [a^m\div a^n=a^{m-n}]\\\\=12^4\)

Hence, the number of crates  needed to store all the toys the warehouse received = \(12^4= 20736\)

Answer:

12^4 or 20736

Step-by-step explanation:

Since the warehouse has 12^7 toys and you need to find how much crates that can fit 12^3 toys will store all the toys, you must divide 12^7 by 12^3.

When dividing radical expressions, remember:

a^3/a^2=a^1    This kind of acts like subtracting the squared number

a^3 * a^2 = a^5    This kind of acts like adding the squared number

(a^3)^2 = a^6    This kind of acts like multiplying the squared number

Therefore, if you use the methods above, 12^7 / 12^3 = 12^4

12^4= 20736

Answer:Data Set B, because its correlation coefficient is farther from 0.

Step-by-step explanation:

I got it right soo <3

If an error is introduced in the 6th cycle of PCR with Taq DNA polymerase, the ratio of correct to incorrect products will be 100:1.

To calculate the percentage of incorrect or erroneous products in the PCR amplification with a high-fidelity DNA polymerase, we need to consider the error rate of the polymerase and the number of cycles.

High-fidelity DNA polymerases typically have an error rate ranging from 10⁻⁵ to 10⁻⁶ errors per base pair per cycle.

Let's assume the error rate is 10⁻⁶ errors per base pair per cycle for our calculation.

In PCR, the number of copies of the target sequence doubles with each cycle.

So, after 30 cycles, the target sequence will be amplified 2³⁰(approximately 1.07 x 10⁹) times.

Now, let's calculate the percentage of incorrect products if an error is introduced in the 20th cycle:

The number of copies after the 20th cycle will be 2²⁰ (approximately 1.05 x 10⁶).

If an error is introduced in the 20th cycle, it will be propagated in subsequent cycles.

The total number of erroneous products will be 1.05 x 10⁶ multiplied by the error rate (10⁻⁶), which equals 1.

The percentage of incorrect products can be calculated by dividing the number of erroneous products by the total number of products and multiplying by 100: (1 / 1.07 x 10⁹) x 100 = 9.35 x 10⁻⁸ %.

Therefore, if an error is introduced in the 20th cycle of PCR with a high-fidelity DNA polymerase, the percentage of incorrect or erroneous products will be approximately 9.35 x 10⁻⁸ %.

Now, let's consider the scenario where Taq DNA polymerase (which has a higher error rate) is used instead. The error rate of Taq DNA polymerase is typically around 10^-4 to 10^-5 errors per base pair per cycle.

If an error is introduced in the 6th cycle:

The number of copies after the 6th cycle will be 2⁶ (64).

If an error is introduced in the 6th cycle, it will be propagated in subsequent cycles.

The total number of incorrect products will be 64 multiplied by the error rate (let's assume 10⁵), which equals 0.64.

The ratio of correct to incorrect products can be calculated by dividing the number of correct products (64) by the number of incorrect products (0.64): 64 / 0.64 = 100.

Therefore, if an error is introduced in the 6th cycle of PCR with Taq DNA polymerase, the ratio of correct to incorrect products will be 100:1.

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The answer is 0.00.

Given information:

Probability of success, p = 0.85 (producing a non-defective part)

Probability of failure, q = 0.15 (producing a defective part)

Total number of trials, n = 10

We need to find the probability of getting fewer than 2 defective parts, which can be calculated using the binomial distribution formula:

P(X < 2) = P(X = 0) + P(X = 1)

Using the binomial distribution formula, we find:

P(X = 0) = (nCx) * (p^x) * (q^(n - x))

        = (10C0) * (0.85^0) * (0.15^10)

        = 0.00000005787

P(X = 1) = (nCx) * (p^x) * (q^(n - x))

        = (10C1) * (0.85^1) * (0.15^9)

        = 0.00000254320

P(X < 2) = P(X = 0) + P(X = 1)

        = 0.00000005787 + 0.00000254320

        = 0.00000260107

        = 0.0003

Rounding the answer to two decimal places, the probability that fewer than 2 of the parts are defective is 0.00.

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Answer: When x=2 and z = 1, then the value of y =4.

Step-by-step explanation:

Given: y varies directly as x and z i.e. \(y\ \alpha \ xz\)

\(y=k(xz)\)      (i) , where k is the proportionality constant.

Put  Y=40 ,x =5 and z = 4, then we get

\(40=k(5\times4)\\\\\Rightarrow\ k=\dfrac{40}{20}\\\\\Rightarrow\ k=2\)

Required equation: \(y=2(xz)\)  [Put value of k in (i)]

Now put x=2 and z = 1, then we get

\(y=2(2\times1)=2(2)=4\\\\\Rightarrow\ y=4\)

Hence, when x=2 and z = 1, then the value of y =4.

Step-by-step explanation:

Range=Highest-Lowest

=93-43

=50

Answer: 2 4 3

Step-by-step explanation:

Answer:

Step-by-step explanation:

Respuesta: B) Kathy comienza cada semana con 108 teléfonos para arreglar.

Explicación: La ecuación P = 108-23d  está diciendo que el número de teléfonos que Kathy le quedan por arreglar al final de cada día se puede calcular con el número de teléfonos que tiene al principio de la semana (108), menos los teléfonos que ha reparado cada día (d), multiplicado por 23. Luego, el significado del valor 108 en esta ecuación es que Kathy comienza cada semana con 108 teléfonos para arreglar.

The two consecutive integers are -6 and -5

Algebraic expressions are defined as expressions that are composed of coefficients, terms, variables, constants and factors.

Algebraic expressions are also made up of mathematical operations, such as;

From the information given;

Let the consecutive integers

x and x + 1

Then, we get;

5x = 6(x + 1)

expand the bracket

5x = 6x + 6

collect the like terms

-x = 6

x = -6

x + 1 = -6 + 1 = -5

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The green shapes in the rectangular prism with dimensions 4 in by 4 in by 5 in would be circles.

In a rectangular prism, all faces are rectangles except for the two bases, which are squares when the prism is a right rectangular prism. Since the given dimensions of the rectangular prism are 4 in by 4 in by 5 in, the bases would be squares with sides measuring 4 in.

The question mentions green shapes, and based on the information provided, it can be inferred that the faces of the bases would be colored green. Since the bases are squares, the green shapes would be squares as well.

It's important to note that without further information or context, it is not possible to determine if any other faces or shapes within the rectangular prism are green. The given dimensions only indicate the shape of the bases, which are squares, and suggest that these squares could be colored green.

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Answer:

-16m-6

Step-by-step explanation:

use distributive property, you get -16m-6

I hope this helped, and if my answer was right, please mark this as brainliest! Thank you!

Hey there!

Hey there!

–2(8m + 3)

Distribute

–2(8m) + –2(3)

–2(8m) = –16m

–2(3) = —6

Answer: –16m – 6 ☑️

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