what is this answer plz

Answer:

52°

Step-by-step explanation:

The measure of angle between the ladder and the ground is given as:

Sum of angles in a triangle

38° + x° + 90° = 180

128°+X° = 180°

X° = 180-128

X= 52°

Hence the angle x = 52°

The x and y-intercept of the function 2x - 3y = 6 are (3,0) and (0,-2) respectively.

Given the function in the question.

2x - 3y = 6

To determine the x-intercept, replace y with 0 and solve for x.

2x - 3y = 6

2x - 3( 0 ) = 6

2x = 6

2x/2 = 6/2

x = 3

Therefore, the x-intercept is (3,0).

Replace x with 0 and solve for y to determine the y-intercept.

2x - 3y = 6

2(0) - 3y = 6

-3y = 6

-3y / -3 = 6 / -3

y = 6 / -3

y = -2

Therefore, the y-intercept is (0,-2).

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As per the congruence theorem, we have proved that ΔABC ≅ΔDEF.

In math congruence theorem states that if all the three sides of one triangle are equal to all the three sides of another triangle, then both the triangles are congruent to each other.

Here we need to prove ΔABC ≅ΔDEF by using the congruence theorem.

Here we have given that ΔABC and ΔDEF,

=> ∠B≅∠E [right angle]

So, we have obtained that

=> ∠A≅∠D

As we know that there is two angles and one non included side of ΔABC is congruent the two corresponding angles and one non- included side of ΔDEF, therefore, by AAS congruence rule.

So, based on the given fact we have identified that

=> ΔABC ≅ΔDEF

Therefore, the AAS congruence postulate defined that the triangles are congruent if two pairs of corresponding angles and a pair of opposite sides are equal in both triangles.

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The chances of having both happen on the same trip to work are, 0.0167

What is traffic?

The passage of objects (such as vehicles or pedestrians) through a space or along a path.: the movement of ships, planes, automobiles, or pedestrians along a path. the content or signals sent through a telecommunication system. 3.: the goods or passengers that a transportation system carries.

Given: suppose your commute to work involves encountering 3 intersections in town and then getting on the interstate for 10 miles.

Your driving experiences in town and on the interstate are independent of each other.

suppose your chances of hitting a red light in town are 1 in 12, and your chances of getting tied up in traffic on the interstate are 3 in 15.

P( red light in town ) = 1/12 = 0.083

P( getting tied up in traffic on the Interstate ) = 3/15 = 0.2

So,

P( both happen on the same trip to work) = 0.083 X 0.2 = 0.0167

Hence, the chances of having both happen on the same trip to work are 0.0167.

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Step-by-step explanation:

heght x base

13 x 18

the hight can be measured by the paralel

Answer:

Step-by-step explanation:

The radius of the outside of the pipe is 6 inches and the radius of the inside of the pipe

is 5.75 inches

Determine the volume of metal used to build the pipe.

The theoretical probability of Eric picking a black marble next time is 1/3 or approximately 0.333.

The probability of picking a black marble from the bag each time is 1/3, as there are an equal number of black, white, and red marbles in the bag. Since Eric has already picked out 4 black marbles in a row and replaced them in the bag each time, this does not change the probability of picking a black marble on the next draw. Therefore, the theoretical probability of Eric picking a black marble next time is still 1/3 or approximately 0.333.

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To find the areas under the standard normal curve using the TI-84 calculator, we can utilize the "normalcdf" function. Here are the steps for each part of the question:

(a) To find the area under the standard normal curve to the left of -2.27:

  - Press "2nd" and then "Vars" (DISTR).

  - Scroll down to "2:normalcdf(" and press "Enter".

  - Enter the values: -10 (lower limit), -2.27 (upper limit), 0, 1 (mean and standard deviation).

  - Press "Enter" to calculate the result.

(b) To find the area under the standard normal curve to the right of -2.28:

  - Follow the same steps as in part (a), but this time enter -2.28 as the lower limit and 10 as the upper limit.

(c) To find the area under the standard normal curve between -2.48 and -1.33:

  - Follow the same steps as in part (a), but this time enter -2.48 as the lower limit and -1.33 as the upper limit.

(d) To find the area under the standard normal curve outside the interval between -1.42 and -1.78:

  - Subtract the area between -1.42 and -1.78 from 1.

  - Follow the steps in part (c) to find the area between -1.42 and -1.78, then subtract the result from 1.

Remember to round the answers to four decimal places as specified.

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Answer:

4

Step-by-step explanation:

The equation is 2(10+x)=28 where x is the unknown number we are trying to find. Use distrubutive property to combine like terms. 2 times 10 is 20 and 2 times x is 2x. Now we have 20+2x = 28. What you do to one side you must do to the other. 20 minus 20 is 0. 28 minus 20 is 8. Now our equation is 2x is 8. To find 1 x we divided in half. 8/2 is 4 therefore the missing variable is 4.

Answer:

y=3/8x-3

Step-by-step explanation:

if 3/8=m then mx=3/8x.

If -3=b, then -3=b.

So our equation would be y=3/8x-3

-Hope this helped

Answer:

B.)

Step-by-step explanation:

A rational number is a number with no repeating decimals or decimals that go on “forever” like pi.  An expample of a rational number is 2 where 2.3333333... is not a rational number.  Pi isn’t a rational number either since forth there is no known end to that.  

So, when solved:

A.) = 1.58113883...  (irrational)

B.) = -8 (rational)

C.) = 8.94427191... (irrational)

D.) = 3.794733192... (irrational)

I hope you see the pattern.  Hope this helps!

Here, we have two pairs of similar triangles.

Let's find the values of x and y.

• Sol,vin,g for x:

Given:

Length of longer base = 9

Length of shorter base = 5

Length of smaller leg = 8

Let's solve for x.

Since the triangles are similar, the corresponding sides will be in proportion.

To solve for x, apply the proportionality equation:

Cross multiply and solve for x:

• Solving for y:

Given:

Length of longer base = 3

Length of longer leg = 6

Length of smaller leg = 4

Length of total base = y

To solve for y, we have the equation:

Cross multiply and solve for y:

ANSWER:

• x = 12

• y = 5

The definite integral for which is a right rectangle approximation is given by `∫f(x)dx ≈ 10k + 8`. Given a function `f(x) = k + 4/2 + 4k + 4/2`. We need to find the definite integral using right rectangle approximation.For this, we will use the Right Rectangle Approximation method.Right Rectangle Approximation:

This method approximates the area under a curve by summing the areas of rectangles whose height is determined by the function at the right endpoint of each interval and whose width is the width of the subintervals.

To get the main answer, we will need to follow these steps:Step 1: Calculate the width of the subintervals`Δx = (b-a)/n`where `n` is the number of rectangles, `a` is the lower limit of the integration, and `b` is the upper limit of the integration.Step 2: Determine the `x` values for each endpoint of the subintervals`x_i = a + iΔx`, for `i = 0, 1, 2, …, n`Step 3: Calculate the `y` values for each `x` value`y_i = f(x_i)`Step 4: Calculate the areas of each rectangle`A_i = y_iΔx`Step 5: Add up all the areas`∑A = A_0 + A_1 + A_2 + … + A_n-1`The right rectangle approximation is given by `∑A`.So, let's find the integral using the right rectangle approximation:Here, `f(x) = k + 4/2 + 4k + 4/2 = k + 2 + 4k + 2 = 5k + 4`Therefore, `∫f(x)dx = ∫(5k + 4)dx = [5kx + 4x] + C`Since we need to use right rectangle approximation, we need to divide the given interval into `n` subintervals of equal width.`Δx = (b-a)/n``Δx = (2-0)/n``Δx = 2/n`Now, determine the `x` values for each endpoint of the subintervals.`x_i = a + iΔx``x_0 = 0 + 0Δx = 0``x_1 = 0 + 1Δx = 2/n``x_2 = 0 + 2Δx = 4/n`And so on, until `x_n = 2`.The width of each rectangle is`Δx = 2/n`So, the area of each rectangle is given by `A_i = f(x_i)Δx`.The right endpoint for each interval is given by the formula `x_i = a + iΔx`, so the area of each rectangle is given by the formula`A_i = f(x_i)Δx``A_i = [5k + 4]Δx``A_i = [5k + 4] (2/n)`Therefore, the sum of all the areas is given by`∑A = A_0 + A_1 + A_2 + … + A_n-1``∑A = [5k + 4] (2/n) + [5k + 4] (2/n) + [5k + 4] (2/n) + … + [5k + 4] (2/n)``∑A = [5k + 4] Σ(2/n)``∑A = [5k + 4] (2/n)Σ1``∑A = [5k + 4] (2/n)(n)``∑A = [5k + 4] (2)``∑A = 10k + 8`Therefore, `∫f(x)dx ≈ 10k + 8`

Therefore, the definite integral for which is a right rectangle approximation is given by `∫f(x)dx ≈ 10k +8.

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Answer:

420 + 15 = 435

360 + 45 = 405

435 - 405 = 30.

30 minutes less sunlight

Step-by-step explanation:

Answer:

The east side gets 30 minutes less sunlight.

Step-by-step explanation:

To find the answer we have to subtract 6 hours 45 minutes from 7 hours 15 minutes. As we see that 15 is less than 45, we turn 7 hours 15 minutes to 6 hours 75 minutes, and now we can subtract. 6 hours 75 minutes - 6 hours 45 minutes = 30 minutes. Now, we see that the answer is 30 minutes less sunlight.

Answer:

A

Step-by-step explanation:

covert to slope intercept form

x-y=2

-y=-x+2

y=x-2

Answer: C

Step-by-step explanation:

The number you are is 2.

Let's break down the information provided:

You are a factor of 40 when paired with 15.

Your least common multiple (LCM) with 15 is not equal to 1.

To find the number that satisfies these conditions, let's examine the factors of 40. The factors of 40 are 1, 2, 4, 5, 8, 10, 20, and 40. Now, we need to find a number from this list that is a factor of 40 when paired with 15.

To find the LCM of 15 and each factor of 40, we can compare their multiples:

For 15 and 1: LCM = 15

For 15 and 2: LCM = 30

For 15 and 4: LCM = 60

For 15 and 5: LCM = 15 (already the smaller number)

For 15 and 8: LCM = 120

For 15 and 10: LCM = 30 (already the smaller number)

For 15 and 20: LCM = 60 (already the smaller number)

For 15 and 40: LCM = 120 (already the smaller number)

From the list, we can see that the LCM of 15 with 5, 10, 20, and 40 is equal to 15. However, the problem states that the LCM of 15 with the number is not equal to 1. Thus, the number that satisfies both conditions is 2, as the LCM of 15 and 2 is 30, and it is not equal to 1. Therefore, the number you are is 2.

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Answer:

0.0347 = constant of proportionality

\(1 * e^{0.0347t} = 15000\)

Step-by-step explanation:

Given

\(1*e^{0.0347t}\)

Solving (a): what does 0.0347 represent?

An exponential model is represented as:

\(f(t) = a * e^{kt}\)

Where:

\(k \to\) constant of proportionality

So, by comparison:

\(k = 0.0347\)

Hence:

\(0.0347 \to\) constant of proportionality

Solving (b): Formula to calculate when balance equals 15000

To do this, we simply equate the formula to 15000.

So, we have:

\(1 * e^{0.0347t} = 15000\)

A curve line with only one peak or one valley is a 2nd degree polynomial. Option c is correct.

What is a polynomial? A polynomial is a mathematical expression with one or more terms. Each term contains one or more variables that are multiplied together, and the variables are raised to non-negative integer powers.In the case of this question, the curve line has only one peak or one valley. The degree of the polynomial determines the number of turns the curve can have. Therefore, the curve line is a 2nd degree polynomial because it has one peak or one valley, which means that it has only one turn. A quadratic function is a second-degree polynomial, and it has the form:

f(x) = ax2 + bx + c.

Where a, b, and c are constants, and a is not equal to zero. Polynomial degree tells you the behavior of a graph's curve. A 2nd degree polynomial, also known as a quadratic function, has a single peak or valley.

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Answer:

D

Step-by-step explanation:

P(A n B) given A and B are independent events is P(A) * P(B)

The probability of intersection of event A and B is 0.135, the correct option is D.

Probability is the study of chance of an event to happen.

A and B are two independent events.

P(A) = 0.3

P(B) = 0.45

P(A ∩ B) = P(A) * P(B)

P(A ∩ B) = 0.3 *0.45

P(A ∩ B) = 0.135

Therefore, the probability of intersection of event A and B is 0.135, the correct option is D.

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Answer:

1/190

Step-by-step explanation:

To calculate the probability of drawing 2 white marbles and 1 blue marble without replacement, we need to consider the total number of ways to choose 3 marbles out of the total number of marbles in the bag.

The total number of marbles in the bag is 5 + 7 + 2 + 6 = 20.

First, let's calculate the number of ways to choose 2 white marbles out of the 2 available:

Number of ways to choose 2 white marbles = (2 choose 2) = 1

Next, we need to calculate the number of ways to choose 1 blue marble out of the 6 available:

Number of ways to choose 1 blue marble = (6 choose 1) = 6

Now, we can calculate the total number of ways to choose 3 marbles out of the 20 marbles in the bag:

Total number of ways to choose 3 marbles = (20 choose 3) = 1140

Finally, we can calculate the probability by dividing the number of favorable outcomes (2 white marbles and 1 blue marble) by the total number of possible outcomes:

Probability = (Number of favorable outcomes) / (Total number of possible outcomes)

= (1 * 6) / 1140

= 6 / 1140

= 1 / 190

Answer:

I believe H is the answer.

Step-by-step explanation:

Double checking.

The probability of choosing at least 4 boys in which five students are chosen to do presentations is 0.111801 that is option D.

In mathematics, probability is a measure of the likelihood of an event occurring. It is expressed as a number between 0 and 1, where 0 indicates that the event is impossible and 1 indicates that the event is certain. To calculate the probability of an event, we divide the number of ways that event can occur by the total number of possible outcomes.

Here,

We can use the combination formula to calculate the total number of possible ways to choose 5 students from a class of 24 students:

C(24, 5) = 24! / (5! * 19!)

= 42,504

To calculate the probability of choosing at least 4 boys, we can calculate the probability of choosing exactly 4 boys and the probability of choosing 5 boys, and then add those probabilities together. The probability of choosing exactly 4 boys can be calculated by choosing 4 boys from the 11 boys and 1 girl from the 13 girls:

C(11, 4) * C(13, 1) / C(24, 5) = (330 * 13) / 42,504

= 0.101449

The probability of choosing 5 boys can be calculated by choosing 5 boys from the 11 boys:

C(11, 5) / C(24, 5) = 462 / 42,504

= 0.010870

Therefore, the probability of choosing at least 4 boys is:

0.101449 + 0.010870 = 0.112319

So the closest answer option is d) 0.111801.

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1. To obtain the graph of g(x) = 2x + 7 from the graph of f(x), we need to perform a translation of the graph of f(x).

Graph is a type of visual representation of data that is used to show the relationship between two or more variables. It is a pictorial representation of data that is used to identify trends, patterns, and correlations. Graphs can be used to compare different sets of data or to show the change in data over a period of time. Graphs can be used to represent data in various forms, including bar graphs, line graphs, scatter plots, histograms, and pie charts. Graphs are a powerful tool for understanding complex data and can be used to make predictions about future trends and behavior.

2. A translation of a graph is a transformation that moves the graph left, right, up, or down without changing its shape.

3. To translate the graph of f(x) up 7 units, we need to add 7 to the y-coordinates of the points on the graph of f(x).

4. This will move the graph of f(x) up 7 units, and the resulting graph will be the graph of g(x) = 2x + 7.

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When the batter is halfway to first base in a baseball diamond, the rate at which his distance from second base is decreasing is 0 ft/s, while the rate at which his distance from third base is increasing is √2 ft/s.

To analyze the situation, we can consider the geometry of the baseball diamond. Since the diamond is a square, each side has a length of ft.

When the batter is halfway to first base, he forms a right triangle with second base and third base. The hypotenuse of this triangle represents the distance from second base to third base, which is √2 times the length of one side of the square.

At this moment, the batter is moving directly towards first base, which is perpendicular to the line connecting second and third base. Therefore, the rate at which his distance from second base is decreasing is 0 ft/s since he is not changing his distance from second base.

On the other hand, the rate at which his distance from third base is increasing can be calculated. Since the hypotenuse (distance from second base to third base) is √2 times the length of one side, we can differentiate with respect to time to find the rate of change. Thus, the rate at which his distance from third base is increasing is √2 ft/s.

Therefore, when the batter is halfway to first base in a baseball diamond, his distance from second base is not changing, while his distance from third base is increasing at a rate of √2 ft/s.

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Answer:

D. I got it right on my quiz.

Step-by-step explanation:

Therefore, the probability that both marbles drawn are blue is 0.46.

After the first marble is drawn, there are a total of 16 marbles left in the bag, of which 11 are blue. Therefore, the probability that the first marble is blue is 11/16. After the first marble is drawn, there are 15 marbles left in the bag, of which 10 are blue. Therefore, the probability that the second marble is blue, given that the first marble is blue, is 10/15 or 2/3. To find the probability that both marbles are blue, we multiply these probabilities:

(11/16) * (2/3) = 22/48

= 0.46 (rounded to two decimal places)

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Answer:

0

Step-by-step explanation:

I hope this helps!

Answer:

Its the same so.. 0???????

It takes the second marathoner 4 hours and 40 minutes to complete the marathon.

Let's assume the distance of the marathon is "d" miles.

The first marathoner runs at a constant speed for 4 hours, so we can find their speed as:

speed = distance / time = d / 4

The second marathoner starts by running at 4 times the speed of the first marathoner, so their speed is:

speed = 4(d / 4) = d

For the second half of the race, the second marathoner's speed drops to 3/4 of the first marathoner's speed. Let's assume it takes "t" hours for the second marathoner to complete the second half of the race. Then, we can write:

d / 2 = (3/4)(d / 4)(t)

Simplifying this equation, we get:

t = (2/3) hours

So the total time it takes the second marathoner to finish the race is:

4 + (2/3) = 4 2/3 hours = 4 hours and 40 minutes.

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