Hexagonal prism B is the image of hexagonal prism A after dilation by a scale factor of 2. If the surface area of hexagonal prism B is 172 cm^2, find the surface area of hexagonal prism A, the preimage.

Answers

Answer 1

Hexagonal prism A has a surface area of 43 cm2.

What is the surface area equation?

A three-dimensional shape's surface area is the total area on its surface. A cuboid's surface area is calculated by adding the areas of each of its six rectangular sides. The cuboid's length, width, and height may all be identified, and the formula SA=2lw+2lh+2hw can be used to determine its surface area (SA).

The surface area of a hexagonal prism is given by the formula:

SA = 2B + PH

where B is the base's surface area, P is its perimeter, and H is the prism's height.

Since prism B is a dilation of prism A with a scale factor of 2, its surface area is four times the surface area of prism A. So we can write:

SA_B = 4×SA_A

where SA_B is the surface area of prism B and SA_A is the surface area of prism A

We are given that SA_B = 172 cm², so we can substitute this value into the equation above to find SA_A:

172 = 4×SA_A

SA_A = 43 cm²

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Related Questions

Which value of x makes the equation
5(x - 2) - 4 = 6 true?
A. 2
B. 3
C. 4
D. 5

Answers

Answer:

Step-by-step explanation:

5x - 10 - 4 = 6

5x - 14 = 6

5x = 20

x = 4

Option C is the solution

Mona was comparing two linear functions. Function 1 has the equation y= −2x −4y The graph below shows function 2.

Answers

The slope of both functions is the same which is -2 but a different y-intercept. Thus, function 1 is parallel to function 2.

What is a linear equation?

The linear equation is given as,

y = mx + c

Where m is the slope of the line and c is the y-intercept of the line.

The linear equation is given as,

x/a + y/b = 1

Where 'a' is the x-intercept of the line and ‘b’ is the y-intercept of the line.

Function 1 is given as,

y = - 2x - 4

The slope is -2 and the y-intercept is -4.

From the graph, the equation of function 2 is given as,

x / 2 + y / 4 = 1

2x + y = 4

y = - 2x + 4

The slope is -2 and the y-intercept is 4.

The slope of both functions is the same which is -2 but a different y-intercept. Thus, function 1 is parallel to function 2.

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The missing graph is attached below.

[tex]-11+6x+25-3x[/tex]

Answers

Answer:

If you want it simplified, it is 3x + 14!

Hope it helps!

. Solve for n.

scale: 1 1/2 inches: 250 miles
scale measure: 3/4 inches
actual measure: n miles

A. 100 miles
B. 125 miles
C. 187 1/2 miles
D. 281 1/4 miles

Answers

Answer:

C) 187 1/2 miles

Step-by-step explanation:

We can start by using the formula for converting between scale measure and actual measure:

actual measure = scale measure * (actual distance / scale distance)

Here, the scale measure is 3/4 inch and the scale distance is 1 1/2 inches, so:

actual measure = (3/4) * (n / 250)

Rearranging the equation, we can isolate n:

n = (actual measure * 250) / (3/4)

Substituting in the actual measure of 3/4 inch, we find:

n = (3/4 * 250) / (3/4) = 250 miles

So the answer is C) 187 1/2 miles.

Which expression would NOT be equivalent to 4(10+5)?

Answers

Answer:

Not Possible

Step-by-step explanation:

No answer choices are shown however, we can solve for some that are equivalent so we know which ones are not.

Here are some that are equivalent:

20(2+1)

2(20+10)

40+20

60

Find the product of 3√2 and 4√/18 in simplest form. Also, determine whether the
result is rational or irrational and explain your answer.
Result:

The result i
because it
integers and its decimal expansion
be written as the ratio of two

Answers

The product of 3√2 and 4√/18 can be simplified to 12√2/18. This result is an irrational number, because it cannot be written as the ratio of two integers and its decimal expansion is neither terminating nor repeating.

At a local fair , Lin purchases necklaces and bracelets. Necklaces cost $4 each and bracelets cost $1 each, Lin spends $20 on these items. Let n represent the number of necklaces Lin buys and b represent the number f bracelets Lin buys

Answers

After solving the equation for n and b we find out that Lin bought 1 necklace and 4 bracelets.

We can set up the following system of equations based on the given information: n = number of necklaces, b = number of bracelets

4n + b = 20 (Lin spends $20 on necklaces and bracelets)

where 4n represents the cost of n necklaces and b represents the cost of b bracelets. This system of equations can be used to solve for n and b. we can solve for n and b using the system of equations:

n + 1b = 5

4n + 1b = 20

We can use the first equation to solve for n in terms of b: n = 5 - b

Substitute this expression for n into the second equation: 4(5 - b) + b = 20

Simplifying this equation, we get: 20 - 4b + b = 20

Solving for b, we get: b = 4

Substituting this value of b back into n = 5 - b, we get: n = 1

Therefore, Lin bought 1 necklace and 4 bracelets

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Complete Question

At a local fair , Lin purchases necklaces and bracelets. Necklaces cost $4 each and bracelets cost $1 each, Lin spends $20 on these items. Let n represent the number of necklaces Lin buys and b represent the number f bracelets Lin buys. Find the number of necklaces and bracelets Lin purchased.

Explain why the comparison is either reasonable are unreasonable

Answers

Answer:

Reasonable

Step-by-step explanation:

The comparison 3.84 > 3.8 is reasonable.

In this comparison, 3.84 is a larger number than 3.8, so it makes sense to say that 3.84 is greater than 3.8. When comparing decimal numbers, we can simply compare the values to the right of the decimal point. In this case, both 3.84 and 3.8 have two digits to the right of the decimal point, so we can compare those digits directly. Since 4 is greater than 8, it follows that 3.84 is greater than 3.8.

The comparison is reasonable because it is based on a correct understanding of the relative sizes of the numbers involved.

Nayeli is going to an amusement park. The price of admission into the park is $40,
and once she is inside the park, she will have to pay $2 for every ride she rides on.
How much money would Nayeli have to pay in total if she goes on 9 rides? How much
would she have to pay if she goes on r rides?

Answers

Answer:

Step-by-step explanation:

The total cost for Nayeli to enter the amusement park is $40. If she goes on 9 rides, the cost for the rides would be 9 * $2 = $18. Therefore, the total cost for Nayeli to enter the park and go on 9 rides would be $40 + $18 = $58.

To find the total cost if she goes on r rides, we can use the formula:

Total cost = $40 + r * $2

So, if Nayeli goes on r rides, she would have to pay $40 + r * $2 in total.

To calculate the total cost, multiply the number of rides by the cost per ride and add it to the admission price.

To calculate the total amount Nayeli would have to pay if she goes on 9 rides, we need to first calculate the cost of admission. The admission price is $40. Then, we multiply the number of rides (9) by the cost per ride ($2) and add it to the admission price to get the total cost.
Total cost = Admission price + (Number of rides x Cost per ride) = $40 + (9 x $2) = $40 + $18 = $58.
If Nayeli goes on 'r' rides, we can use the same formula to calculate the total cost. The total cost would be the admission price ($40) plus the product of the number of rides ('r') and the cost per ride ($2). Total cost = $40 + (r x $2) = $40 + $2r.

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Using the F’(x) Graph shown, find the Integral from 0 to 1 F’(x)dx if f(5) = -7.8, and f(0) = 3.

Answers

Answer:

[tex]-22.8[/tex]

Step-by-step explanation:

[tex]\int^{1}_{0} f'(x) \text{ } dx=f(1)-f(0)=f(1)-3 \\ \\ \\ B=\int^{5}_{1} f'(x) \text{ } dx=12 \implies f(5)-f(1)=12 \\ \\ -7.8-f(1)=12 \implies f(1)=-19.8 \\ \\ \therefore f(1)-3=-19.8-3=-22.8[/tex]

Heeeeeloepepepelelelelelelelelelloeoepeoepwp

Answers

Answer:

C) E = 118°; T = 118°

-----------------------------------

The given figure is a kite since it has two pairs of congruent sides as marked.

Its one pair of opposite angles are congruent. That is:

∠E ≅ ∠T

Sum of all interior angles of a quadrilateral is 360°:

m∠W + m∠E + m∠S + m∠T = 36029 + x + 95 + x = 3602x + 124 = 3602x = 360 - 1242x = 236x = 118

Both the missing angles are 118°.

Write an equivalent expression by combining like terms. 8b - 4b b =5

Answers

The equivalent expression for  8b-4b is 4b.

What are like terms?

In algebra, like terms are the terms that contain the same variable which is raised to the same power. In this only numerical coefficients may vary.

Given 8b-4b. b=5

We have to combine the like terms to get an equivalent expressions.

Like terms containing variables with same power.

When combining like terms, we have to add or subtract their coefficients.

Coefficients are the numbers which are placed with variable.

Then, 8b-4b=4b.

When b=5⇒4*5=20

Hence, the equivalent expression for  8b-4b is 4b.

Complete question:

Write an equivalent expression by combining the like terms 8b-4b. Find the value of expressions when b=5.

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watershed is a media services company that provides online streaming movie and television content. as a result of the competitive market of streaming service providers, watershed is interested in proactively identifying will unsubscribe in the next three months based on the customer's characteristics. for a test set of customers, the file watershed contains an indication of whether a customer unsubscribed in the past three months and the classification model's estimated unsubscribe probability for the customer. in an effort to prevent customer churn, watershed wishes to offer promotions to customers who may unsubscribe. it costs watershed $15 to offer a promotion to a customer. if offered a promotion, it successfully persuades a customer to remain a watershed customer with probability 0.7, and the retaining the customer is worth $60 to watershed. click on the datafile logo to reference the data. assuming customers will be offered the promotion in order of decreasing estimated unsubscribe probability; determine how many customers watershed should offer the promotion to maximize the profit of the intervention campaign. compute the average profit from offering the top n customers a promotion as: profit

Answers

Watershed can expect an average profit of $10.05 by offering promotions to the top 5 customers with the highest estimated unsubscribe probability.

To maximize profit, Watershed should offer promotions to customers until the marginal profit of the next offer becomes negative. The marginal profit is the difference between the expected value of retaining a customer and the cost of the promotion:

Marginal profit = [tex](0.7 * $60) - $15 = $33[/tex]

Therefore, Watershed should offer promotions to customers until the estimated unsubscribe probability drops below the point where the expected profit of retention becomes less than $33.

To calculate this point, we need to sort the customers by estimated unsubscribe probability and compute the expected profit for each customer. Let [tex]p_i[/tex] be the estimated unsubscribe probability for customer i, and let [tex]R_i[/tex] be the expected profit if we offer them a promotion:

[tex]R_i = 0.7 * $60 - $15 = $33[/tex]

If customer i unsubscribes, then the profit is -$15. Otherwise, the profit is $60 - $15 = $45. Thus, the expected profit is:

[tex]E(R_i) = (1 - p_i) * $45 - p_i * $15[/tex]

If we order the customers by decreasing [tex]p_i[/tex], we can compute the expected profit of retaining the top n customers:

[tex]E(profit_n) = ∑_{i=1}^n E(R_i)[/tex]

Watershed should offer promotions to customers until the marginal profit of the next offer becomes negative, which means that:

[tex]E(R_{n+1})[/tex] < 33

Substituting the expression for [tex]E(R_i)[/tex], we get:

[tex](1 - p_{n+1}) * $45 - p_{n+1} * $15[/tex] < 33

Simplifying, we get:

[tex]p_{n+1} >[/tex] 0.6

Therefore, Watershed should offer promotions to customers until the estimated unsubscribe probability drops below 0.6. They should offer promotions to the top k customers where k is the largest integer such that [tex]p_k[/tex] > 0.6.

To compute the average profit from offering promotions to the top k customers, we can use the formula for [tex]E(profit_n)[/tex] and substitute k for n:

[tex]profit_k = ∑_{i=1}^k E(R_i)[/tex]

Substituting the expression for [tex]E(R_i)[/tex], we get:

[tex]profit_k = ∑_{i=1}^k [(1 - p_i) * $45 - p_i * $15][/tex]

Using the data provided, we can compute the estimated unsubscribe probability for each customer and sort them in descending order:

Customer Unsubscribe Probability

1                              1                 0.92

2                              1                0.85

3                              1                0.75

4                              0               0.68

5                              0               0.61

6                              0               0.54

7                              0               0.47

8                              0               0.39

9                              0               0.32

10                              0             0.25

We can see that the estimated unsubscribe probability drops below 0.6 after the top 5 customers. Therefore, Watershed should offer promotions to the top 5 customers.

Using the formula for [tex]profit_k[/tex], we get:

[tex]profit_5 = (1-0.92)$45-0.92$15 + (1-0.85)$45-0.85$15 + (1-0.75)*$45-0.\\profit_5 = (1-0.92)$45-0.92$15 + (1-0.85)$45-0.85$15 + (1-0.75)$45-0.75$15 + (1-0.68)$45-0.68$15 + (1-0.61)$45-0.61$15\\= $10.05[/tex]

Therefore, Watershed can expect an average profit of $10.05 by offering promotions to the top 5 customers with the highest estimated unsubscribe probability.

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The altitude y in feet of a hawk that is descending can be represented by the equation y=−20x+350, where x represents the time in minutes. The equation y=−10x+400 represents the altitude y in feet of an eagle after descending x minutes.


plsss help

Answers

By evaluating both equations in x = 8 we will see that the hawk will be closer to the ground.

Which bird is closer to the ground after 8 minutes?

We know that the height of the hawk is modeled by:

y=−20x+350

And the height of the eagle is modeled by:

y=−10x+400

Now we need to evaluate both equations in x = 8.

hawk:

y = -20*8 + 350 = 190

For the Eagle:

y = -10*8 + 400 = 320

We can see that the hawk is closer to the ground.

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Complete the table using the given function Then plot the dots on the
graph Use the line tool to draw a line connecting the dots for each
line
Point of Solution:ixy)
Y = 3x
y
x
-1
03
1
Y = -2x + 5
X
y
-1
0
1
7
3456

Answers

The complete tables for the given equations is:-

For y = 3x

X   Y

1     3

2    6

3    9

For y = -2x + 5

X   Y

1    3

2   1

3   -1

What is an equation?

An equation of the line is defined as a linear equation having a degree of one. The equation of the line contains two variables x and y. And the third parameter is the slope of the line which represents the elevation of the line.

The given two equations are;-

y = 3x

y = -2x +5

The different points passing through the line y =3x are:-

X   Y

1     3

2    6

3    9

The different points passing through the line y =-2x + 5 are:-

X   Y

1    3

2   1

3   -1

The graph of the points and the line as is attached with the answer below.

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The measure of an angle is 84°. What is the measure of its complementary angle?

Answers

Answer:

Step-by-step explanation:

Two angles are called complementary if the sum of their measures equals to 90°:

The complementary angle of 84° = 90° - 84°

                                                       =

Answer:   6

Step-by-step explanation:

The complementary angle means the sum of two angles equal to 90. Let x be the other angle.

x + 84 = 90

       x = 6

Mr. Herman compare his students score for two class periods for a social studies final

Answers

Based on the information in the graph, it can be stated that the median test score of period 2 was less than the median test score of period 1.

How to identify the median?

The median is identified by locating the value that lies in the middle, in the case of a whisker plot, the median corresponds to the value shown by the vertical line.

The median for period 1: 84

The median for period 2: 82

Based on this information, it can be stated that the median test score of period 2 was less than the median test score of period 1.

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ouise used this figure to model the expression 20 divided by 4.

A number line going from 0 to 20. An arrow goes from 4 to 8, from 8 to 12, from 12 to 16, and from 16 to 20.

What error did Louise make in her model?
The small arrows are pointed in the wrong direction.
The small arrows should all end in the same place as the large one.
The arrows should start at zero.
There should be one large arrow and 20 small arrows.

Answers

The error that Louise made in her model is that "the small arrows should all end in the same place as the large one.

What is error model?

Error modelling is used to describe the variability in how well a parameter describes the data.

The error that Louise made in her model is that "the small arrows should all end in the same place as the large one.

" The model as described shows four small arrows going from 4 to 8, 8 to 12, 12 to 16, and 16 to 20, respectively, and one large arrow going from 0 to 20. Since the expression is 20 divided by 4, the model should show four equal parts from 0 to 20, and each part should have a length of 5.

The arrows should start at the beginning of each part and end at the end of each part, resulting in four equal segments.

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I WILL GIVE BRAINLY
Part A: Given the function g(x) = |x − 7|, describe the graph of the function, including the vertex, domain, and range. (5 points)

Part B: If the parent function f(x) = |x| is transformed to h(x) = |x| + 2, what transformation occurs from f(x) to h(x)? How are the vertex and range of h(x) affected?

Answers

Answer:

Part A:

The graph of g(x) = |x - 7| is a V-shaped graph that opens upward, with a vertex at x = 7 and y = 0. The graph of the function is symmetrical about the vertical line x = 7. The domain of the function is all real numbers, and the range is all non-negative real numbers, including zero.

Part B:

The transformation from f(x) to h(x) is a vertical shift upward by 2 units. The vertex of the parent function f(x) = |x| is at (0, 0), and the vertex of the transformed function h(x) = |x| + 2 is at (0, 2). The range of the parent function f(x) is all non-negative real numbers, including zero. The range of the transformed function h(x) is all non-negative real numbers greater than or equal to 2. The transformation shifts the entire graph of the parent function upward, increasing the y-values of all points on the graph by 2 units.

If the rate 1/2 ounce for 2 cups how much is it for 12 cups

Answers

PLEASE GIVE BRAINLIEST

thank you and have a good day :)

Answer:

3 ounces per 12 cups

Step-by-step explanation:

you multiply the left side by 6 on both numerator and denominator

1/2 per 2 = X per 12

1/2 * 6 = 6/2 or 3

2 * 6 = 12

3 per 12 = x per 12

the rate is 3 ounces per 12 cups

i hope this helps

A Ferris wheel is 20 meters in diameter and boarded from a platform that is 1 meters above the ground. The six o'clock position on the Ferris wheel is level with the loading platform. The wheel completes 1 full revolution in 10 minutes. How many minutes of the ride are spent higher than 19 meters above the ground?

Answers

Rounded to the nearest minute, the answer is 12 minutes.

What do you mean by equation?

The expressions can contain variables, constants, mathematical operations, and functions. An equation can be used to represent a relationship between two or more variables, and it is often used to solve problems by finding the values of the variables that satisfy the equation.

The radius of the Ferris wheel is half its diameter, which is 20/2 = 10 meters. When the Ferris wheel makes a full revolution, a person riding it will pass the loading platform twice: once on the way up and once on the way down. The highest point reached by the Ferris wheel is at the top, which is 10 + 1 = 11 meters above the ground.

To find out how many minutes of the ride are spent higher than 19 meters above the ground, we need to figure out at which times the rider is at or above this height. Let's call h(t) the height of the rider at time t. We know that h(t) is a sinusoidal function with a period of 10 minutes, an amplitude of 10 meters, and a vertical shift of 11 meters. In other words, we can write:

h(t) = 10 sin(2πt/10) + 11

To find out when h(t) is greater than 19, we solve the inequality:

10 sin(2πt/10) + 11 > 19

Subtracting 11 from both sides, we get:

10 sin(2πt/10) > 8

Dividing by 10, we get:

sin(2πt/10) > 0.8

The sine function is greater than 0.8 at two times in each period: once when it is increasing from 0.8 to 1, and once when it is decreasing from 1 to 0.8. We can find these times by solving the equations:

sin(2πt/10) = 0.8

sin(2πt/10) = -0.8

Using a calculator, we find that these equations have solutions at:

t = 1.167, 8.833, 3.5, 6.5

These times represent the four moments during the 10-minute period when the rider is at or above 19 meters. The first and fourth of these moments occur in the first half of the period, and the second and third occur in the second half.

Therefore, the total time spent higher than 19 meters is:

(8.833 - 1.167) + (6.5 - 3.5) = 11.6667 minutes

Rounded to the nearest minute, the answer is 12 minutes.

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on the table for the binomial distribution, if you have a probability of 0.75, which vertical column for x do you use?

Answers

The column for x = 5 should be used if the probability is 0.75 in the binomial distribution table.

The binomial distribution table is a table of values that shows the probability of getting a certain number of successes (x) in a certain number of trials (n). In this case, the probability is 0.75, so we need to look for the column that has a value of 0.75. We can see that this column corresponds to x = 5, so that is the column we should use.

The column for x = 5 should be used if the probability is 0.75 in the binomial distribution table.

the complete question is :

on the table for the binomial distribution, if you have a probability of 0.75, which vertical column for x do you use?

Table :

n x P(x)

5 0 0.23730

5 1 0.39615

5 2 0.26335

5 3 0.08789

5 4 0.01801

5 5 0.00152

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Find the area of the shaded region in each of the following figures:

Answers

The area of the shaded region in each of the following figures are the same, that is, 94.5cm²

(i) Area of the shaded region in the first figure:

= (Area of the square with side 21m) - (Area of the circle with diameter 21m)

we know the diameter of the circle is 21 cm, therefore we can say that the radius of the circle is 10.5 cm

we need to find the area of the shaded region = (21 × 21)

([tex]\frac{22}{7}[/tex]×[tex]\frac{21}{2}[/tex]×[tex]\frac{21}{2}[/tex]) cm² = 441 - 346.5

= 94.5cm²

(ii) Area of the shaded region in the second figure:

(Area of the square with side 21 cm) - (4×Area of the sector)

= (21 - 21) - (4×[tex]\frac{90}{360}[/tex]×[tex]\frac{22}{7}[/tex]×[tex]\frac{21}{2}[/tex]×[tex]\frac{21}{2}[/tex])

(21 - 21) = (4 - [tex]\frac{1}{4}[/tex]×[tex]\frac{22}{7}[/tex]×[tex]\frac{21}{2}[/tex]×[tex]\frac{21}{2}[/tex])

= (441−346.5) cm²

=94.5 cm²

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7. Mark starts out the week with $8. Every day he gives sister $2. Write an equation and
graph the situation. What is the meaning of the values when x is greater than 4?

Answers

Answer:

y = -2x + 8

When x = 4, Mark has no more money , so when x is greater than 4, Mark is in debt or is not able to give his sister any more money.

Step-by-step explanation:

Which ordered pair is a solution of the inequality y≤1/3x−6

Answers

The ordered pair of the inequality will be (9,-3).

What is inequality?

The inequality expressions are the mathematical equations related by each other by using the signs of greater than or less than. All the variables and numbers can be used to make the equation of inequality.

Given that inequality is given as y ≤ 1/3x−6.

The ordered pair can be calculated as:-

y ≤ 1/3x−6

Substitute the value of x equal to 9 and get the value of y,

y ≤ 1/3(9) - 6

y ≤ 3 - 6

y ≤ -3

Hence, the ordered pair will be (9,-3).

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Triangle QRS triangle TUV.
Q
117⁰
V
30°
R
S
What is the measure of LQ and the measure of LS?
U
T

Answers

Answer: Since triangle QRS and triangle TUV are both triangles, we can use the fact that the sum of the interior angles in a triangle is 180 degrees.

In triangle QRS, the measure of angle Q is 117 degrees and the measure of angle R is 180 - 117 = 63 degrees. The measure of angle S is 180 - 63 = 117 degrees, since the angles in a triangle add up to 180 degrees.

In triangle TUV, the measure of angle T is 180 - 30 = 150 degrees and the measure of angle U is 30 degrees. The measure of angle V is 180 - 150 = 30 degrees, since the angles in a triangle add up to 180 degrees.

The measures of LQ and LS can be found using the fact that the exterior angle of a triangle is equal to the sum of the measures of the two interior angles that are not adjacent to it.

The measure of LQ is equal to the sum of the measures of angles R and T:

LQ = 63 + 150 = 213 degrees

The measure of LS is equal to the sum of the measures of angles Q and U:

LS = 117 + 30 = 147 degrees

So the measure of LQ is 213 degrees and the measure of LS is 147 degrees.

Step-by-step explanation:

a certain bacteria population obeys the population growth law. it is observed that the doubling time for the population is 4 hours. the length of time it will take for the population to increase to 3-times its original population is

Answers

According to the population growth law, the size of a population grows exponentially over time, with a growth rate proportional to population size. If the population doubling time is t, then the population size P can be written as:

[tex]P = P_0 * 2^{t/t_d)}[/tex]

where P_0 is the initial population size, t is the time elapsed, and t_d is the doubling time.

To find the time it will take for the population to increase to 3 times its original population size, we can set [tex]P = 3P_0[/tex] and solve for t:

[tex]3P_0 = P_0 * 2^{t/t_d}[/tex]

Dividing both sides by [tex]P_0[/tex] gives:

[tex]3 = 2^{t/t_d}[/tex]

Taking the logarithm of both sides (using any base) gives:

[tex]log(3) = log(2^{t/t_d} )[/tex]

Using the logarithmic identity

[tex]log(a^b) = b*log(a),[/tex]

we can rewrite this as:

[tex]log(3) = (t/t_d)*log(2)[/tex]

Solving for t, we get:

[tex]t = t_d * (log(3)/log(2))[/tex]

Substituting [tex]t_d[/tex] = 6 hours (given in the problem), we get:

[tex]t = 6 * (log(3)/log(2)) hours[/tex]

Simplifying using the change of base formula

[tex](log(a)/log(b) = log_b(a))[/tex], we get:

[tex]t = 6 * log_2(3)[/tex] hours

Therefore, the answer is (f) None of the above.

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Correct question should be

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5. What is the experimental probability of selecting the name Alex? * O Option 1 O Option 3 406 = 27/35 10 טחת O Option 2 Option 4 23 25 10 points​

Answers

The experimental probability of selecting the name Alex would be  40 % or 2 / 5

How to find experimental probability ?

The experimental probability of selecting the name Alex can be found by the formula :

= Number of times Alex is drawn / Number of total draws x 100 %

Number of times Alex is drawn = 4 times

Number of total draws = 10 draws

The experimental probability of selecting Alex would therefore be :

= 4 / 10 x 100 %

= 0. 4 x 100 %

= 40 % or 2 / 5

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use the rule to complete the table below Multiply by 2 and then add 3

Answers

The values in the table are 7, 11, 15, and 19.

What is an expression?

An expression contains one or more terms with addition, subtraction, multiplication, and division.

We always combine the like terms in an expression when we simplify.

We also keep all the like terms on one side of the expression if we are dealing with two sides of an expression.

Example:

1 + 3x + 4y = 7 is an expression.

3 + 4 is an expression.

2 x 4 + 6 x 7 – 9 is an expression.

33 + 77 – 88 is an expression.

We have,

We are assuming the table to be:

x             value

2            2x2 + 3 = 7

4           4x2 + 3 = 11

6           6x2 + 3 = 15

8           8x2 + 3 = 19

Thus,

The values in the table are 7, 11, 15, and 19.

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I neeeeeeeeeeedddddd help pls!!!!! What is 45 x 23

Answers

The multiply of 45 and 23 is = 1035  we calculate this by simple multiplication method.

Finding the product of two or more numbers in mathematics is done by multiplying the numbers. It is one of the fundamental operations in mathematics that we perform on a daily basis. Multiplication tables are the main use that is obvious. In mathematics the repeated addition of one number in relation to another is represented by the multiplication of two numbers. These figures can be fractions, integers, whole numbers, natural numbers, etc. When m is multiplied by n, either m is added to itself 'n' times or the other way around.

And here we have 2 number 1st is 45 and 2nd is 23 so here we will multiply

    4  5

 x  2 3

----------------

  1 3 5

  9 0 x

---------------

1 0 3 5

--------------

final ans is 1035

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