Answer:
2(-2)+1
Step-by-step explanation:
All you have to do is replace x with-1
Find the area of the composite figure?
Answer:
128
Step-by-step explanation:
Let's start by figuring out the last side of the triangle
we can use the pathagoryous theroem and get
11.9²+x²=16.9²
Solve this and get x=12
Let's now compute the area of the triangle
b*h*.5
12*11.9*.5=71.4
So 71.4 is the area of the triangle
we now need to find the area of the semi circle.
to do this we are going to find the area and then divide it by 2
We know that the length is equal to 12 which means that the radius is 6
so we have
π6²/2
which is 56.55
We add the 71.4+56.55= 127.94 which rounds to 128
Answer:
212.758
Step-by-step explanation:
Find the semi-circle first, the diameter is 16.9 ft.
To find area:
Formula:
pi x radius x radius x 1/2
16.9 ÷ 2 = 8.45 (radius)
22/7 x 8.45 x 8.45 = 224.407 (Circle)
224.407 ÷ 2 = 112.203 (Semi circle)
Find the triangle:
1/2 x base x height or length x base x height
But for now, we will use the first one.
1/2 x 16.9 x 11.9 = 100.555
Now add them up.
100.555 + 112.203 = 212.758
(I don't know what units you to put for your answer since I don't learn American mathematics, so it's up to you)
Ann has 5,634 beads and wants to place the same number of beads in each of 9 storage boxes. Which of the following will help determine if 5,634 is divisible by 9?
A. 5,634 is an odd number and divisible by 3, so 5,634 is divisible by 9.
B. 5,634 is an even number, so 5,634 is not divisible by 9.
C. 5 + 6 + 3 + 4 = 18 and 18 is divisible by 9, so 5,634 is divisible by 9.
D. 34 is not divisible by 9, so 5,634 is not divisible by 9.
PLEASE HELP!!!
The option C, 5 + 6 + 3 + 4 = 18 and 18 is divisible by 9, so 5,634 is divisible by 9 helps to determine that 5,634 is divisible by 9.
What are Divisibility Rules?Divisibility rules are certain rules for each number to check whether a number is divisible by a certain number or not.
Here Ann has 5,634 number of beads.
She wants to place the beads in 9 storage boxes such that each box contains same number of beads.
For that, we have to divide 5634 by 9.
Check the divisibility of 5634 in 9.
Divisibility rule of 9 is that if the sum of the digits of a number is divisible by 9, then the given number itself is divisible by 9.
5 + 6 + 3 + 4 = 18
18 is divisible by 9.
So 5634 is divisible by 9.
Hence 5634 is divisible by 9 because of option C.
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Please help me with this question pleaseeee
Answer:
5, left
Step-by-step explanation:
Because negative x is 5 units to the right of zero, that means that negative x is 5, because 5 is 5 units right of zero.
\(-x=5\)
To figure out x, we must multiply both sides by negative one, and since negative one times negative x equals positive x, we have the value of x.
\(x=-5\)
That means that x is 5 units to the left of zero.
Can someone help me please? Ill mark brainliest c:
Renee knows that there is 700 calories in 12 oz of chocolate. She wants to calculate how many calories would be in 30 oz of Chocolate. Below is her work. Did she calculate correctly? If not explain and correct her mistake.
Answer: 1750 calories
Step-by-step explanation:
\(\frac{700calories}{12oz} * 30 oz = 1750 calories\)
if an object is moving at -1.7 m/s for 20 seconds what is its displacement?
Answer:
0.085 m
Step-by-step explanation:
change in displ. = change in velocity ÷ change in time
so,
x = v ÷ t
= -1.7 m/s ÷ 20s
=0.085 m
Answer:
0.085 m
......:.:.:.:.
1.1 Discuss how interactions involving dummy variables, impact on the results and interpretation of a regression model. Use your own example. 1.2 State the problems of using the linear probability model. In addition, briefly explain how some of these problems can be remedied 1.3 Critically assess the goodness-of-fit measures of logit models.
Interactions involving dummy variables can provide insights into the different effects of independent variables across categories.
1. Dummy variables are binary variables that represent categorical variables in a regression analysis. When interactions are included between dummy variables and other independent variables, it allows for differential effects of the independent variables based on the different levels of the categorical variable.
For example, let's consider a regression model to predict income based on education level and gender. We can include an interaction term between education level (represented by dummy variables for different levels) and gender. This interaction term allows us to examine whether the effect of education level on income differs between males and females. It helps capture any gender-specific differences in the relationship between education and income.
1.2 The linear probability model (LPM) is a common approach to estimate the probability of an event occurring using a linear regression framework. However, it has several problems:
1. The predicted probabilities from the LPM can fall outside the [0, 1] range: Since the LPM does not impose any restrictions on the predicted probabilities, they can sometimes exceed the valid probability range. This violates the assumption of probabilities being bounded between 0 and 1.
2. Heteroscedasticity: The LPM assumes constant error variance across the range of the predictors. However, in practice, the variability of the error term may change with different levels of the predictors, resulting in heteroscedasticity. This violates the assumption of homoscedasticity.
3. Non-linearity: The LPM assumes a linear relationship between the predictors and the probability of the event. However, this may not always be the case, and using a linear model can result in misspecification.
To remedy these problems, an alternative to the LPM is to use logistic regression or probit regression models. These models explicitly model the probability of an event occurring and address the issues mentioned above. They provide predicted probabilities that fall within the valid range of 0 to 1, account for heteroscedasticity, and allow for non-linear relationships between the predictors and the probability of the event.
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Write the rational numbers whose multiplicative inverse are themselves
Answer:
the rational numbers whose multiplicative inverse are themselves are 1& -1.hope it helps .stay safe healthy and happy.#9Change from standard form to vertex formy= -x²+4x-1
So the vector form of the equation is: y = -1(x - 2)² + 3.
To convert from standard form to vertex form, we complete the square by following these steps:
Factor out the coefficient of the x-squared term:
y = -x² + 4x - 1
= -1(x² - 4x) - 1
To complete the square inside the parentheses, add and subtract the square of half of the coefficient of the x-term (-4/2)^2 = 4:
y = -1(x² - 4x + 4 - 4) - 1
Simplify the expression inside the parentheses by factoring a perfect square:
y = -1((x - 2)² - 4) - 1
Distribute the -1 and simplify:
y = -1(x - 2)² + 3
Therefore, the vertex of the parabola is at (2, 3), and the negative coefficient of the x-squared term means that the parabola opens downwards.
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Evaluate the factorial expression.15!12!(4−1)!
we have
15!12!(4−1)!
15!12!(3!)=3,758,268,687,305,932,800,000
therefore
the answer is
3,758,268,687,305,932,800,000Perform the indicated operations and simplify.
(x - 3y)² + 3(x + y)(x − 4y) + x(3x + 4y + 3)
Let's simplify the expression step by step: Expand the squared term:
(x - 3y)² = (x - 3y)(x - 3y) = x² - 6xy + 9y²
Expand the second term:
3(x + y)(x − 4y) = 3(x² - 4xy + xy - 4y²) = 3(x² - 3xy - 4y²)
Expand the third term:
x(3x + 4y + 3) = 3x² + 4xy + 3x
Now, let's combine all the expanded terms:
(x - 3y)² + 3(x + y)(x − 4y) + x(3x + 4y + 3)
= x² - 6xy + 9y² + 3(x² - 3xy - 4y²) + 3x² + 4xy + 3x
Combining like terms:
= x² + 3x² + 3x² - 6xy - 3xy + 4xy + 9y² - 4y² + 3x
= 7x² - 5xy + 5y² + 3x
The simplified form of the expression is 7x² - 5xy + 5y² + 3x.
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A circular plate has circumference of 30.1 inches. What is the area of this plate? Use 3.14 for pi
Answer:
Area of a circle=Πr²
Getting r from:
circumference of a circle=2Πr
30.1 =2(3.14)r
30.1 =6.28r
4.8 =r
Area=3.14(4.8)²
=3.14(23.04)
=72.3
The area of the circular shaped plate is given by A = 71.536 inches²
What is a Circle?A circle is a closed figure in which the set of all the points in the plane is equidistant from a given point called “center”. Every line that passes through the circle forms the line of reflection symmetry. Also, the circle has rotational symmetry around the center for every angle
The circumference of circle = 2πr
The area of the circle = πr²
where r is the radius of the circle
The standard form of a circle is
( x - h )² + ( y - k )² = r²,
where r is the radius of the circle and (h,k) is the center of the circle.
The equation of circle is ( x - h )² + ( y - k )² = r²
For a unit circle , the radius r = 1
x² + y² = r² be equation (1)
Now , for a unit circle , the terminal side of angle θ is ( cos θ , sin θ )
Given data ,
Let the radius of the circular plate be r
Now , circumference of a circle is given by the formula:
C = 2πr
where C is the circumference and r is the radius of the circle.
In this case, we are given that the circumference of the plate is 30.1 inches, so we can set up an equation:
30.1 = 2πr
Solving for r:
r = 30.1 / (2π)
r ≈ 4.788 inches (rounded to three decimal places)
Now that we know the radius, we can use the formula for the area of a circle:
A = πr²
Plugging in the value of r:
A = 3.14 x ( 4.788 )²
A ≈ 71.536 inches²
Hence , the area of the circular plate is approximately 71.536 square inches
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Cheryl bought 10 pens for 25 each. How much did she pay for all 10 pens?
Answer: 250
Step-by-step explanation:
10 pens at 25 each mean 1 pen is 25
so 10 x 25 = 250
What is the equation of direct variation given that y is 16 when x is -2
A x= -8y
B y = 8x
C y= -8x
D y= -1/8 x
/\
| It means one eighth as a fraction
Answer:
C.
explanation:
I just know.
Answer:
c
Step-by-step explanation:
y=-8x
* Required
Solve.
15) 4x + 2 y = 14
2x + y = 8
Answer:
Step-by-step explanation:
4x + 2y = 14
-4x - 2y = -16
0 ≠ -2
no solutions
you pick four cards from a deck with replacing the card each time before picking the next card. what is the probability that all four cards are kings? round to six decimal places, if necessary.
1/28561 is the probability that all four cards are kings
What is deck?Hearts, clubs, spades, and diamonds make up the four suites of a normal deck of cards. thirteen cards total—aces, 2, 3, 4, 5, 6, 7, 8, 9, 10, jack, queen, and king—make up each suite. Thus, there are 52 cards in all in the deck.
The four French suits—clubs, diamonds, hearts, and spades—each have 13 ranks. King, Queen, and Jack are the three court cards (face cards) in each suit, and their pictures are reversed (double-headed). The ten numerical cards, or pip cards, in each suit range in value from one to 10.
In a pack of cards, there are 52 cards and 4 Kings.
Probability of picking a King is: 4/52 = 1/13 .
Since a card is being replaced before picking up the next card, the probability of picking a King is always 1/13 .
Picking a subsequent King is independent of picking a King previously and thus we multiply the individual probabilities to arrive at the combined probability.
Thus, the required probability is:
= 1/13 × 1/13 × 1/13 × 1/13
= 1/28561
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PLEASE HELPPPP ILL GIVE BRAINLIEST!!!
Dan, Anna, and Todd are walking in a city park. Each time Dan takes 3 steps, Anna takes 5 steps. Each time Anna takes 3 steps, Todd takes 5 steps. If Anna and Todd take a combined total of 400 steps, how many steps does Dan take?
Answer:
1200
Step-by-step explanation:
Answer:
120
Step-by-step explanation:
A circuit has a current of 1.2 a. if the voltage decreases to one-third of its original amount while the resistance remains constant, what will be the resulting current? 0.3 a 0.4 a 1.2 a 3.6 a
Given that the resistance remains constant, if the voltage decreases to one-third of its original amount, the resulting current in the circuit is 0.4A
What is Ohm's Law?Ohm’s law states that the potential difference between two points is directly proportional to the current flowing through the resistance.
It is expressed as;
V = IR
Where V is the voltage or potential difference, potential difference, I is the current and R is the resistance.
Given that;
Initially, A circuit has a current I = 1.2A
V = IR
R = V/I
R = V/1.2A ...... let this be equation 1
Next, voltage decreases to one-third of its original amount while the resistance remains constant.
Meaning Voltage = 1/3 of V = V/3
Hence;
V = IR
V/3 = IR
From equation 1 ( R = V/1.2A )
V/3 = I × V/1.2A
V/3 = IV/1.2A
We cross multiply
V1.2A = 3IV
I = V1.2A / 3V
I = 1.2A / 3
I = 0.4A
Therefore, given that the resistance remains constant, if the voltage decreases to one-third of its original amount, the resulting current in the circuit is 0.4A
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Answer:
0.4 A
Step-by-step explanation:
When resistance is constant, current is proportional to voltage. When 1/3 the voltage is applied, 1/3 the current will result. (1/3)* (1.2 A) = 0.4 A The resulting current will be 0.4 A.
I and m are in direct proportion.
The equation of proportionality is = = 9m.
If m increases from 4 to 7, how much will
increase by?
If your answer is a decimal, give it to 1 d.p.
Since I and m are in direct proportion, we can write:
I = km
where k is the constant of proportionality.
From the given equation of proportionality, we have:
I/m = 9
Multiplying both sides by m, we get:
I = 9m
So, the constant of proportionality is k = 9.
If m increases from 4 to 7, then we can find the increase in I as follows:
ΔI = I2 - I1
where I1 is the initial value of I when m = 4, and I2 is the final value of I when m = 7.
From the equation of proportionality, we have:
I1 = km1 = 9(4) = 36
I2 = km2 = 9(7) = 63
Therefore, the increase in I is:
ΔI = I2 - I1 = 63 - 36 = 27
So, if m increases from 4 to 7, then I increases by 27.
Which is the best estimate for each expression?
24. 37% of 293
Answer choices: B. 120 C. 125 or D. 150
25. 4/5% of 192
Answer choices: A. 2 B. 8 C. 12 or D. 19
4/5% of 192 is approximately 1.536. The best estimate among the given answer choices is A. 2, which is the closest whole number to the actual value.
To find 37% of 293, we can start by using a proportion. We can set up the proportion as follows:
37/100 = x/293
To solve for x, we can cross-multiply and simplify:
37 x 293 = 100 x
x = 10841/100 ≈ 108.41
So, 37% of 293 is approximately 108.41. The best estimate among the given answer choices is B. 120, which is close to the actual value but slightly overestimated.
To find 4/5% of 192, we can first convert 4/5% to a decimal by dividing by 100:
4/5% = 4/5 ÷ 100 = 0.008
We can then multiply 0.008 by 192 to get the answer:
0.008 x 192 = 1.536
So, 4/5% of 192 is approximately 1.536. The best estimate among the given answer choices is A. 2, which is the closest whole number to the actual value. The other answer choices are too high and would overestimate the value.
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The school band is selling candy to raise $1,800.00 to pay for their trip to a band festival. The band earns $1.50 from every box of candy sold. Kayla solved the inequality 150 x greater-than-or-equal-to 1,800 to find the number of boxes the band must sell to meet their goal. She graphed her solution on a number line and interpreted the solution to mean the band will meet their goal if they sell fewer than 12 boxes.
A number line going from 6 to 16. A closed circle is at 12. Everything to the right of the circle is shaded.
What errors did she make? Select two options.
o She used the wrong coefficient for x in her inequality.
o She should have used the less than or equal to symbol instead of the greater than or equal to symbol.
o She interpreted the graph incorrectly.
o She graphed a solution set that does not match her inequality.
o The graph should have an open circle at 12.
Answer:
The answers are
A - She used the wrong coefficient for X in her Inequality.
B- NO
C- She interpreted the graph incorrectly.
D-NO
Step-by-step explanation:
Answer:
A and C
Step-by-step explanation:
Took test on edge :)
To the nearest whole number, what is the surface area of the right triangular prism?
Answer: 797.4 m²
Step-by-step explanation:
The surface area is just the total of the areas of each face of of a solid. In this solid, we have 2 triangles and 3 rectangles.
TrianglesWe know that the two triangles of this solid are congruent, so they will have the same area. Since the area of a triangle is \(\frac{1}{2}bh\), two triangles would have an area of \(bh\). Hence, the total area is
\(A=9 * 15\\A=135\)
RectanglesThe area of a rectangle is lw, where l is the length and w is the width. Let's find the total area of all of them.
\(A=9*16+15*16+17.4*16\)
All of the areas are a product of some number and 16. This makes sense as the length of this prism is 16. We can un-distribute this 16 to make the calculation easier.
\(A=16(9+15+17.4)\\A=16(41.4)\\A=662.4\)
TotalWe can add both totals to get the total surface area of the solid.
\(135+662.4\\=797.4\)
The surface area of this right triangular prism is 797.4 m².
Evaluate −6 − (−2). (1 point)
A.−4
B.−8
C.4
D.12
Answer:
A. -4
Step-by-step explanation:
−6 − (−2) = -6 + 2
= -4
Hope this helped :)
Three component work in series. the component fail with probabilities p1=0. 09, p2=0. 11, and p3=0. 28. What is the probability that the system will fail?
The probability that the system will fail is 1 - ((1 - 0.09) * (1 - 0.11) * (1 - 0.28)).
To find the probability that the system will fail, we need to consider that all three components fail in series.
When components are connected in series, the system fails if any one of the components fails.
Therefore, we need to calculate the probability that at least one component fails.
The probability that the first component fails (p1) is 0.09, the probability that the second component fails (p2) is 0.11, and the probability that the third component fails (p3) is 0.28.
To find the probability that at least one component fails, we can calculate the complement of the probability that all components work. In other words, we subtract the probability that all components work from 1.
The probability that all three components work is calculated by multiplying the probabilities of each component working: (1 - p1) * (1 - p2) * (1 - p3).
Therefore, the probability that the system will fail is 1 - ((1 - 0.09) * (1 - 0.11) * (1 - 0.28)).
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Distribute 3x²(4x + 7).
Hint: Multiply the monomial times each term in the
parentheses. (Pls I need help passing algebra this year I need this awnser)
Answer: 12x^3+21x^
Step-by-step explanation:
you need to multiply the expression outside to every term inside the parentheses . Multiply the numbers and add the powers. Good luck with algebra
2. A town is planning a circular walkway that will be 2 meters wide. The walkway will have an inter radius of 5 meters with a circumference of about 31. 4 meters. Find the area of the wallway
The area of the walkway is 24π square meters.
To find the area of the walkway, we need to subtract the area of the inner circle from the area of the outer circle.
The inner circle has a radius of 5 meters, so its area can be calculated using the formula for the area of a circle: A_inner = π * \((r_inner)^{2}\).
A_inner = π * \(5^{2}\) = 25π square meters.
The outer circle has a radius equal to the sum of the inner radius and the width of the walkway. In this case, the outer radius is 5 + 2 = 7 meters.
The area of the outer circle can be calculated in the same way: A_outer = π * \((r_outer)^{2}\).
A_outer = π * \(7^{2}\) = 49π square meters.
Now, we can find the area of the walkway by subtracting the area of the inner circle from the area of the outer circle: A_walkway = A_outer - A_inner.
A_walkway = 49π - 25π = 24π square meters.
The area of the walkway is 24π square meters, where π (pi) is a mathematical constant approximately equal to 3.14159.
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can the area of a square be expressed as a prime number if its side length is expressed as a natural number?
not possible because the area of a square is always a square of it's length and a square cannot be a prime number
Answer:
No
Step-by-step explanation:
Because the area of a square is always a square of its length and a square can't be prime.
14. PROOF Complete the two-column proof to prove that x = 1.25.
Given: H is the midpoint of FG.
Prove: x = 1.25
Proof:
1. H is the midpoint of FG.
2.
3.
4. 2x + 7 = 12x - 5.5
5.
Statements
6.
7.
8. x = 1.25
1.
Reasons
FL
2. Midpoint Theorem
3. Definition of congruent segments
4.
5. Addition Property of Equality
6.
7. Division Property of Equality
8. Substitution
The midpoint of a line segment is known as the midpoint in geometry. It is the centroid of the segment and of the ends, and it is equally distant from both of them. It cuts the section in half.
Explain about the midpoint?The midpoint is the point on the middle of the line that is equally distant from the two points if a line is drawn connecting the two points. The midpoint is the point B that lies halfway between any two points, let's say A and C.
The middle value in a group of numbers that are arranged numerically is the median. It is also referred to as the midpoint because it represents the centre of the data collection. You can expect that half of the values on your list will be lower and half will be higher than the median.
To prove x =1.25
H is midpoint of FG
2x +7=12x-5.5
2x+12.5 =12x
12.5 = 10x
1.25 =x
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The given statement is true which is x = 1.25.
Explain about the midpoint?The midpoint is the point on the middle of the line that is equally distant from the two points if a line is drawn connecting the two points. The midpoint is the point B that lies halfway between any two points, let's say A and C.The middle value in a group of numbers that are arranged numerically is the median. It is also referred to as the midpoint because it represents the centre of the data collection. You can expect that half of the values on your list will be lower and half will be higher than the median.To prove x =1.25
H is midpoint of FG
2x +7=12x-5.5
2x+12.5 =12x
12.5 = 10x
1.25 =x
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2. What is the average salary offered to a Stony Brook college graduate? To study this question you and a friend interview N students that graduated last year, and ask them what they earn. Student i's response was recorded as Yi. You are interested in the average, My. You assumed that the sample of Y's is iid. First you calculate the following estimate of uy: W1 N 1 N i=1 ΣΥ. . You and your friend each collected half the data. Thus you collected Y1, ..., YN/2 and your friend collected Yn/2+1, ... , Yn. Unfortunately, it turns out that your friend collected the data at a wild alumnae party, and you suspect that these data may not be as precise as your data. So whereas the variance of your data is, var(Y;) = 0%, i = 1, ...,N/2. then your friends data have the variance, var(Y) = oʻ(1 + 3c), i=N/2+1, ...,N, for some constant c> 0. (d) Your friend is sorry that half the data are not as precise as they could have been, and suggest that you discard the noise data, and simply use hr Na Ex? Y; as your estimator for my. Which estimator is most efficient (has the smallest variance) în or îz? Does your answer depend on c? = N.Σ. (Υ – μ.) - = (e) Suppose now that c = 0 such that var(Y;) = o2 for i = 1, ...,N. You have N = 300 observation and calculate s2 = 20,000,000 and î1 = $48,000. Before collecting the data, your friend argues mean salary, my, is s $50,000, using a 1% significance level. Write down the confidence interval at 1% significance level and decide whether you will accept your friend's
The more precise estimator ẏ₁ is the most efficient in estimating the average salary. With given values, the confidence interval is calculated to determine whether to accept the claim of a $50,000 mean salary.
In this scenario, we have two estimators for the average salary: ẏ₁, which uses precise data, and ẏ₂, which includes less precise data. The efficiency of the estimators depends on the variance of the data. If we compare the variances, Var(ẏ₁) = 0% and Var(ẏ₂) = o²(1 + 3c). Since Var(ẏ₁) is zero, it implies that ẏ₁ is the most efficient estimator. The answer does not depend on the value of c.
In the second part, with c = 0, we have Var(Y) = o². Given N = 300, s² = 20,000,000, and ẏ₁ = $48,000, we can use these values to construct a confidence interval. Using a 1% significance level, the critical value is 2.57 (from the standard normal distribution). The confidence interval is given by ẏ₁ ± 2.57 * sqrt(s²/N), which results in $48,000 ± 2.57 * sqrt(20,000,000/300). If this interval contains $50,000, we would accept your friend's claim; otherwise, we would reject it.
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*16 (b)
(√3-1) cm
A
75°
B
You are given that sin 75º =
5√2 cm
√3+1
2√2
Show that the area of triangle ABC is 2½ cm²
Nof
acc
C
Answer:
Step-by-step explanation:
78 sin
(+0