PLEASE HELP ASAP GOD BLESS YOU If YOU HELP ME IT WILL RAISE MY GRADE

Answer:

x= 2

z = 106

Step-by-step explanation:

By the definition of vertically opposite angles,

(10x + 54)° = 74° [Pair of opposite angles made by two intersecting lines]

10x = 74 - 54

10x = 20

x = 2

z° + 74° = 180° [Pair of supplementary angles]

z = 180 - 74

z = 106

Answer:

Step-by-step explanation:

sorry I apologize

Answer:

down below

Step-by-step explanation:

Assuming you meant multiplying:

61.295

Hope this helps! :)

There are 5 full square and 6 triangles that are half squares.

      5 + (6)(1/2) = 5 + 3 = 8

You could also break this into smaller shapes (like a big triangle on the top and a smaller triangle and rectangle on the bottom and use area formulas to calculate the area.  But counting works well in this example.

Answer: 8

Step-by-step explanation:

First you split up this shape into two different shapes, a triangle and trapezoid

Put a line through the coordinates (-2,2) to  (-1,2); the top is a triangle and the other is a trapezoid

Area of the trapezoid is A = .5x (base1 + base2) x height

base1 of the trapezoid goes from -4 to -1 which is 3

base2 goes from -2 to -1 which is 1

height is 0 to 2 whcich is 2

A = .5 x (3+1) x 2 = 4

Now area of a triangle is A = .5 x base x height

the base goes from -2 to 2 which is 4

the height goes from 2 to 4 which is 2

A = .5 x (4) x (2) = 4

Area of the Trapezoid + Area of the Triangle = Total Area

4 + 4 = 8

a) 50 elements are in the union of three pairwise disjoint sets if the sets contain 10, 15, and 25 elements.

b) 229 are there to select a student whose major is in one of the departments of the school of science if there are seven departments in this school with 31, 88, 19, 11, 41, 22, and 17 students in each.

c) 23 are there to select a person who lives on a street with five houses if the number of people in these houses are 5, 3, 2, 7, and 6.

The problem we are dealing with is related to union sets.The union of two sets is a set containing all elements that are in set A and set  B or including more sets

For the first problem, the sets  contain:

n(A)=10, n(B)=15, n(C)=25, n(A∩B)=0 ,n(B∩C)=0 ,n(C∩A)=0,n(A∩B∩C)=0

So,  n(A∪B∪C)=n(A)+n(B)+n(C)−n(A∩B)−n(B∩C)−n(C∩A)+n(A∩B∩C)

               = 10 +15+25-0-0-0-0-0

              =  50

For the second  problem, since no student can have  more than one major.

So, (A∪B∪C∪D∪E∪F∪G)=n(A)+n(B)+n(C)+n(D)+n(E)+n(F)+n(G)

As  we know : n(A)=31, n(B)=88, n(C)=19, n(D)=11, n(E)=41, n(F)=22, n(G)=17

So ,  (A∪B∪C∪D∪E∪F∪G) =  31+88+19+11+41+22+17= 229

For the third problem,  we have

n(A)=5

n(B)=3

n(C)=2

n(D)=7

n(E)=6

So, the number of elements will be (A∪B∪C∪D∪E) =  5+3+2+7+6 =23

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Answer:

k-13

Step-by-step explanation:

brainliest?

Answer:

K-13

Step-by-step explanation:

Because it is

The highest point on a bell-shaped curve represents the peak or maximum value of the distribution. This point is known as the mode of the distribution.

In a bell-shaped curve, also known as a normal distribution or Gaussian distribution, the data is symmetrically distributed around the mean. The curve is characterized by a central peak, and the highest point on this peak corresponds to the mode.

The mode represents the most frequently occurring value or the value that has the highest frequency in the dataset. It is the point of highest density in the distribution.

The bell-shaped curve is often used to model naturally occurring phenomena and is widely applied in statistics and probability theory. The mode provides information about the most common or typical value in the dataset and is useful for understanding the central tendency of the distribution.

While the mean and median also have significance in a normal distribution, the highest point on the bell-shaped curve specifically represents the mode, indicating the value with the highest occurrence in the dataset.

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Step-by-step explanation:

the correct answer is option a 6a-7

The logical equivalence (p ∨ ~q) ∧ (~p ∨ ~q) ≡ ~q.

1. Start with the given expression: (p ∨ ~q) ∧ (~p ∨ ~q).
2. Apply the distributive law: (p ∧ ~p) ∨ (~q ∧ ~q).
3. Apply the law of contradiction: False ∨ (~q ∧ ~q).
4. Simplify: ~q ∧ ~q.
5. Apply the law of idempotence: ~q.

In this derivation, we used the distributive law to expand the expression and then applied the law of contradiction to simplify it further. Finally, we used the law of idempotence to arrive at the final expression ~q, which proves the logical equivalence.

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Answer:

27

Step-by-step explanation:

H(2)=2^2=4

G(H(2))= 3(4) +2=14

F(G(H(2)))=2(14)-1=27

Answer:

A) is 29.76 B) IS $54

Step-by-step explanation:

you have to times 24 x 24% = 5.76 then you add 24 + 5.76 =29.76

Absorption costing net income is calculated by subtracting selling and administrative expenses from gross profit.

By subtracting the selling and administrative expenses from the gross profit, we arrive at the absorption costing net income. This net income figure reflects the overall profitability of the company, considering both the operational costs of production and the expenses associated with selling and administration.

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Answer:

D

Step-by-step explanation:

your function is not very clear but I'm assuming it's 2 multiplied by 7^x

first let y be equal to the function

to find the range interchange x and y and make the subject

at some point you'll have to use logarithm to get rid of the exponent

only log of positive numbers numbers exist hence y must be greater than 0

The original limit represents the derivative of f(x) = \(x^4\) + 5x³ + 10x² + 5x + 5 at the point a=0, and the value of the limit is 5.

To find the function and number, we need to simplify the expression first. Using the binomial formula, we can expand \((1+h)^5\) as follows:
\((1+h)^5\) = 1 + 5h + 10h² + 10h³ + \(5h^4\) + \(h^5\)
Then, we can substitute this expansion into the original expression and simplify:
lim h→0 [(1+h)^5 - 1]/h
= lim h→0 [1 + 5h + 10h² + 10h³ + \(5h^4\) + \(h^5\) - 1]/h
= lim h→0 [5h + 10h² + 10h³ + 5h^4 + h^5]/h
= lim h→0 [5 + 10h + 10h² + 5h³ + h^4]
Now, we can see that this limit represents the derivative of the function f(x) = \(x^4\) + 5x³ + 10x² + 5x + 5 at the point a=0. Taking the derivative of f(x) using the power rule, we get:
f'(x) = 4x³ + 15x² + 20x + 5
Evaluating this derivative at a=0, we get:
f'(0) = 4(0)² + 15(0)² + 20(0) + 5 = 5
Therefore, the original limit represents the derivative of f(x) = \(x^4\) + 5x³ + 10x² + 5x + 5 at point a=0, and the value of the limit is 5.

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The total amount Jimmy has to pay for the pants is $31.18.

Jimmy is buying 2 pairs of pants that cost $14.50 each. There is a 7.5% sales tax. What is the total Jimmy will pay for the pants?The cost of each pair of pants is $14.50.

Therefore, the total cost of 2 pairs of pants = 2 * $14.50 = $29.Jimmy also has to pay a 7.5% sales tax on the total cost of the pants.The amount of sales tax Jimmy has to pay = 7.5% of $29 = (7.5/100) * $29 = $2.18.The total amount Jimmy has to pay for the pants = total cost of the pants + amount of sales tax= $29 + $2.18 = $31.18.

Hence, the total amount Jimmy has to pay for the pants is $31.18.

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Hey there! :)

Answer:

(5, -2), or x = 5 and y = -2.

Step-by-step explanation:

We can solve the two equations algebraically by eliminating a variable:

2x + 5y = 0

3x - 4y = 23

Eliminate the x variable by finding the least common multiple and multiplying both equations:

3(2x + 5y = 0)

2(3x - 4y = 23)

Distribute and subtract the bottom equation from the top:

6x + 15y = 0

6x - 8y = 46

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

0x + 23y = -46

23y = -46

y = -2.

Plug in y into an equation to solve for x:

2x + 5(-2) = 0

2x - 10 = 0

2x = 10

x = 5. Therefore:

The solution to this equation is (5, -2), or x = 5 and y = -2.

Answer:

x = 5; y = -2

Step-by-step explanation:

2x + 5y = 0

3x - 4y = 23

Let's eliminate y. Multiply the first equation by 4. Multiply the second equation by 5. Then add them.

         8x + 20y = 0

(+)      15x - 20y = 115

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

          23x         = 115

x = 5

Now we substitute 5 for x in the first equation and solve for y.

2(5) + 5y = 0

5y = -10

y = -2

Solution: x = 5; y = -2

To find the probability that a randomly selected item from an inventory of 50 digital video recorders (DVRs) is defective, we divide the number of defective items by the total number of items.

The probability of an event is calculated by dividing the number of favorable outcomes by the total number of possible outcomes. In this scenario, the number of defective DVRs is given as 50. Since we are randomly selecting an item from the inventory of 50 DVRs, the total number of possible outcomes is also 50.

Therefore, the probability of selecting a defective item is calculated as 50 (defective DVRs) divided by 50 (total DVRs), which simplifies to 1. This means that every item in the inventory is defective, resulting in a probability of 1 or 100% for randomly selecting a defective item. The probability that a randomly selected item is defective is 1 or 100%.

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Answer:

its an equation

Step-by-step explanation:

an expression is has variables

Answer:

0.71 weeks

Step-by-step explanation:

To convert 5 days to weeks, we can use the conversion factor:

1 week = 7 days

Therefore, we have:

5 days = 5/7 weeks

Rounding to the nearest hundredth, we get:

5 days ≈ 0.71 weeks

Therefore, 5 days is approximately equal to 0.71 weeks.

Answer:

2 over 5 (2/5)

Step-by-step explanation:

Answer: y=2/5x+4

Work is in the picture attached. Hope this helps.

Answer:

Equation of the plane is 19x - 20y - 15z - 38 = 0.

Step-by-step explanation:

We can find an equation of the plane that passes through the given three points by first finding two vectors that lie in the plane and then taking their cross product to get the normal vector of the plane. Once we have the normal vector, we can use any of the three points to write the equation of the plane in point-normal form.

Let's start by finding two vectors that lie in the plane. We can take the vectors connecting (2, −1, 3) to (7, 4, 6) and from (2, −1, 3) to (−3, −3, −2), respectively:

v1 = <7-2, 4-(-1), 6-3> = <5, 5, 3>

v2 = <-3-2, -3-(-1), -2-3> = <-5, -2, -5>

Now we can find the normal vector to the plane by taking the cross product of v1 and v2:

n = v1 x v2 = det( i j k

5 5 3

-5 -2 -5 )

= < 19, -20, -15 >

Now we can use the point-normal form of the equation of a plane, which is:

n · (r - r0) = 0

where n is the normal vector, r0 is a point on the plane, and r is a generic point on the plane. We can use any of the three given points as r0. Let's use the first point, (2, −1, 3):

n · (r - r0) = < 19, -20, -15 > · ( < x, y, z > - < 2, -1, 3 > ) = 0

Expanding the dot product, we get:

19(x - 2) - 20(y + 1) - 15(z - 3) = 0

Simplifying, we get:

19x - 20y - 15z - 38 = 0

Therefore, an equation of the plane is 19x - 20y - 15z - 38 = 0.

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The probability that the bus arrives early or on time is 10/14.

                                                                                                                       To calculate the probability that the bus arrives early or on time, we can add the probabilities of each event occurring.

Probability of arriving early: 1/2                                                        Probability of arriving on time: 3/14

To find the probability of either event occurring, we add these probabilities:

1/2 + 3/14

To simplify the given fraction, we have to find a common denominator. The least common multiple of 14 of 2 and 14.

(1/2) * (7/7) + (3/14) * (1/1) = 7/14 + 3/14 = 10/14

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The uniform continuous probability for the interval (25 < x < 45) within the uniform distribution U(15, 65) can be found by calculating the proportion of the total range that falls within that interval.

To calculate the probability, we need to determine the length of the interval (45 - 25) and divide it by the length of the entire range (65 - 15).

Length of the interval: 45 - 25 = 20

Length of the entire range: 65 - 15 = 50

Now, we divide the length of the interval by the length of the entire range to obtain the probability:

Probability = (Length of interval) / (Length of entire range) = 20 / 50 = 0.4

Therefore, the uniform continuous probability for p(25 < x < 45) within the uniform distribution U(15, 65) is 0.4, rounded to one decimal place.

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Answer:

Yes, the set of ordered pairs (1, 7), (3, 8), (3, 6), (6, 5), (2, 11), (1, 4) represents a relation. This relation is a function since each input (x-value) has a single output (y-value).

Step-by-step explanation:

Chad's car achieved an average rate of 10 miles per gallon.

The unit rate of miles per gallon can be calculated by dividing the total miles driven by the amount of gas consumed.

In this case, Chad drove 20 miles and used 2 gallons of gas.

To find the unit rate, we divide the miles by the gallons:

20 miles / 2 gallons = 10 miles per gallon.

Therefore, the unit rate of miles per gallon for Chad's car is 10 miles per gallon.

This means that for every gallon of gas Chad's car consumes, it is able to travel a distance of 10 miles.

It's important to note that the unit rate can vary depending on factors such as driving conditions, speed, and the type of car, but in this scenario, Chad's car achieved an average rate of 10 miles per gallon.

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The first person will receive £166 and the second person will receive £581.

To divide £747 in the ratio 2:7 between two people, we need to determine the total number of parts that the ratio represents. The ratio of 2:7 means that for every 2 parts of £747 allocated to the first person, 7 parts of £747 will be allocated to the second person. Therefore, the total number of parts of the ratio is:

2 + 7 = 9

To determine the amount of money that each person will receive, we divide the total amount of money by the number of parts in the ratio and then multiply each part of the ratio by the resulting number. This can be written as:

First person's share = (2/9) * £747 = £166

Second person's share = (7/9) * £747 = £581

This division of £747 is consistent with the 2:7 ratio given in the problem.

In summary, to divide £747 in the ratio 2:7 between two people, we added the ratio values, 2 and 7, to get the total parts in the ratio of 9, then we divided the total amount £747 by the number of ratio parts (9) to get the value of one ratio part (83). Finally, we multiplied each ratio part by the value of one ratio part to get each person's share of the money, which is £166 for the first person and £581 for the second person.

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