Answer:
\(x=110^o\)
Step-by-step explanation:
If AB = AD, then you have that triangle ABD is an isosceles triangle (it has two equal sides). If it is isosceles, then the angles opposite to angles those equal sides must be equal. Then angle ADB = \(35^o\). and by the property of all internal angles of a triangle have to add to \(180^o\), we get that:
\(x=180^o-35^o-35^o=110^o\)
Answer:
x = 110 degrees, y = 49 degrees.
Step-by-step explanation:
We have adjacent isosceles triangles here, so
x = 180 - 2(35) = 110 degrees, and
2y + 82 = 180
so y = (180 - 82) / 2 = 49 degrees.
Suppose we know the prices of zero-coupon bonds for different maturities with par values all being $1,000. The price of a one-year zero coupon bond is $959.63; The price of a two-year zero- coupon bond is $865.20; The price of a three-year zero-coupon bond is $777.77; The price of a four-year zero-coupon bond is $731.74. What is, according to the liquidity performance hypothesis, the expected forward rate in the third year if ∆ is 1%? What is the yield to maturity on a three-year zero-coupon bond?
According to the liquidity preference hypothesis, the expected forward rate in the third year when ∆ is 1% is 12.18%, and the yield to maturity on a three-year zero-coupon bond is 10.35%.
According to the liquidity preference hypothesis, the interest rate for a long-term investment is expected to be equal to the average short-term interest rate over the investment period. In this case, the expected forward rate for the third year is stated as 4.28%.
To calculate the expected forward rate for the third year, we first need to calculate the prices of zero-coupon bonds for each year. Let's start by calculating the price of a four-year zero-coupon bond, which is determined to be $731.74.
The rate of return on a four-year zero-coupon bond is then calculated as follows:
Rate of return = (1000 - 731.74) / 731.74 = 0.3661 = 36.61%.
Next, we use the yield of the four-year zero-coupon bond to calculate the price of a three-year zero-coupon bond, which is found to be $526.64.
The expected rate in the third year can be calculated using the formula:
Expected forward rate for year 3 = (Price of 1-year bond) / (Price of 2-year bond) - 1
By substituting the values, we find:
Expected forward rate for year 3 = ($959.63 / $865.20) - 1 = 0.1088 or 10.88%
If ∆ (delta) is 1%, we can calculate the expected forward rate in the third year as follows:
Expected forward rate for year 3 = (1 + 0.1088) × (1 + 0.01) - 1 = 0.1218 or 12.18%
Therefore, according to the liquidity preference hypothesis, the expected forward rate in the third year, when ∆ is 1%, is 12.18%.
Additionally, the yield to maturity on a three-year zero-coupon bond can be calculated using the formula:
Yield to maturity = (1000 / Price of bond)^(1/n) - 1
Substituting the values, we find:
Yield to maturity = (1000 / $526.64)^(1/3) - 1 = 0.1035 or 10.35%
Hence, the yield to maturity on a three-year zero-coupon bond is 10.35%.
In conclusion, according to the liquidity preference hypothesis, the expected forward rate in the third year when ∆ is 1% is 12.18%, and the yield to maturity on a three-year zero-coupon bond is 10.35%.
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12. Pilihan ganda30 detik1 ptQ. a process in which a number is changed, such as by adding, subtracting, dividing, or multiplying.Pilihan jawabanoperationsmartsuper cool
A process in which a number is changed, such as by adding, subtracting, dividing or multiplying is called arithmetic process.
The four basic operations of mathematics are addition, subtraction, multiplication and division. We call this group of four operations "arithmetic". Arithmetic is defined by the four most basic operations in mathematics. These four operations are the most basic, but that doesn't mean they're always easy to perform. In other words, arithmetic ranges from very simple things like 1 + 1 to very complex and complex things. It all depends on the context in which a person is working, but when we are dealing with one of the four operations of addition, subtraction, multiplication or division we are dealing with so-called arithmetic operations in mathematics.
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Complete question:
A process in which a number is changed, such as by adding, subtracting, dividing or multiplying is called:________.
A man serves 6 customers in 30 minutes. How many customers can be served in 2 hours?
Answer:
24
Step-by-step explanation:
2 hours * 60 minutes/hour = 120 minutes
120 minutes / 30 minutes = 4
120 minutes is 4 times 30 minutes, so he can serve 4 times as many people.
4 * 6 customers = 24 customers
Answer: 24
A man serves 6 customers in 30 minutes. There are 24 customers who can be served in 2 hours.
What is the unitary method?The unitary method is a method for solving a problem by the first value of a single unit and then finding the value by multiplying the single value.
A man serves 6 customers in 30 minutes. we want to find how many customers can be served in 2 hours.
We know that
2 hours x 60 minutes/hour = 120 minutes
120 minutes / 30 minutes = 4
120 minutes is 4 times 30 minutes, so he can serve 4 times as many people.
= 4 x 6 customers
= 24 customers
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Find The First Partial Derivatives Of The Function. F(X, Y) = X^2y-3y^2 F(X, Y) = X/(X + Y)^2 W = Xy^2 E^-Xz
Partial derivative with respect to\(X = dF/dX = 2XY - (X + Y)2-2 + Y2e-XZ\)
Partial derivative with respect to \(Y = dF/dY = X2 - 6Y + (X + Y)2-2XYe-XZ\)
The first partial derivatives of the function F(X,Y) = X2Y - 3Y2 + X/(X + Y)2 + XY2e-XZ can be found by taking the partial derivative with respect to each of the variables X and Y separately.
For the partial derivative with respect to X, we have:
Partial derivative with respect to X = dF/dX = 2XY - (X + Y)2-2 + Y2e-XZ
For the partial derivative with respect to Y, we have:
Partial derivative with respect to \(Y = dF/dY = X2 - 6Y + (X + Y)2-2XYe-XZ\)
This completes the calculation of the first partial derivatives of the function F(X,Y).
The first partial derivatives of the functions are given below:
\(F(x, y) = x^2y - 3y^2\)
The first partial derivative with respect to x,
Fx (x, y) = 2xy
The first partial derivative with respect to y,\(Fy (x, y) = x^2 - 6yW = xy^2 e^-xz\)
The first partial derivative with respect to x,
\(Wx (x, y, z) = y^2e^-xz - x^2y^2e^-xz\)
The first partial derivative with respect to y, Wy (x, y, z) = 2xye^-xz
The first partial derivative with respect to z, \(Wz (x, y, z) = -xy^2e^-xz\)
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Is the eye color of people on commercial aircraft flights a discrete random variable, a continuous random variable, or not a random variable?
The eye color of people on commercial aircraft flights is not a random variable.
What is random variable?
Random variables are variables that can take on different values based on the outcome of a random event or experiment.
However, eye color is a characteristic of individuals and does not vary randomly within a specific context, such as being on a commercial aircraft flight. Eye color is determined by genetic factors and does not change during a flight or as a result of being on a flight.
Eye color is a categorical variable that represents the color of an individual's eyes, such as blue, green, brown, or hazel. While it is not a random variable in the context of commercial aircraft flights, it can still be observed and recorded as a characteristic of the passengers on the flight.
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Type the correct answer in the box. Use numerals instead of words. What value of x makes this equation true? -2x + 3 = -15 x =
Answer:
x=9
Step-by-step explanation:
plug in the number 9
-2(9)= -18
-18+3= -15
The level of the tide in a harbor changed from 9 1/4 ft to 4 1/2 ft above sea level over a period of 3 1/4 hr
Answer:
The answer is "\(\bold{- \frac{19}{13} \ / hour}\)"
Step-by-step explanation:
Please find the complete question in the attached file.
Calculating the difference of \(9 \frac{1}{4}\ and \ 4 \frac{1}{2}\) dividing the value by \(3 \frac{1}{4}\)
\(\to 4 \frac{1}{2} - 9 \frac{1}{4}\\\\ \to \frac{9}{2} - \frac{37}{4}\\\\ \to \frac{18-37}{4} \\\\ \to -\frac{19}{4}\\\\\to -\frac{19}{4} \div \frac{13}{4}= -\frac{19}{4} \times \frac{4}{13} = -\frac{19}{13}\\\)
Which angles equal 91°? angles T and V angles S and U angles U and V angles S and T.
Answer:
Angles T and V
Step-by-step explanation:
Answer:
A. T & V
Step-by-step explanation:
DId the Quiz
Hello, just checking my work. First right answer will be brainiest
Irwin rode his bicycle from one end of a trail to another and back at a speed of 20 miles per hour. If the trail is 4 miles long, for how many hours was Irwin riding?
0.2 hours
0.4 hours
2.5 hours
5.0 hours
Answer:
0.4
Step-by-step explanation:
how many minutes are in 4 miles
Answer:
I believe it’s C. 2.5
Step-by-step explanation:
Jude is training for a marathon his goal is to run a total of 7 3/15 miles so he can beat last years record. Jude plans to run 2 3/15 miles on monday, 1 1/5 miles on tusday, and 2 1/3 miles on wensday. How many more miles will he need to run on thursday? Please hurry
The miles that Jude needs to run on Thursday is 1 3/5 miles.
What is a fraction?A fraction is simply a piece of a whole. The number is represented mathematically as a quotient where the numerator and denominator are split. In a simple fraction, the numerator as well as the denominator are both integers.
Total fraction = 7 3/15
Monday race = 2 3/15
Tuesday race = 1 1/15
Wednesday race = 2 1/3
The miles remaining will be:
= 7 3/15 - (2 3/15 + 1 1/15 + 2 1/3)
= 7 3/15 - 5 9/15
= 1 9/15
= 1 3/5 miles
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which angles are linear pairs? check all that apply. ∠srt and ∠trv ∠srt and ∠tru ∠vrw and ∠wrs ∠vru and ∠urs ∠urw and ∠wrs
The angles that form linear pairs are ∠SRT and ∠TRU, and ∠VRW and ∠WRS. These pairs of angles are adjacent and their measures add up to 180 degrees, making them linear pairs.
To determine which angles are linear pairs, we need to identify pairs of adjacent angles whose measures add up to 180 degrees. Based on the given angles, ∠SRT and ∠TRU form a linear pair because they are adjacent and their measures add up to 180 degrees.
Similarly, ∠VRW and ∠WRS also form a linear pair because they are adjacent and their measures add up to 180 degrees. On the other hand, the remaining angle pairs, ∠SRT and ∠TRV, ∠VRU and ∠URS, and ∠URW and ∠WRS, do not meet the criteria for being linear pairs since their measures do not add up to 180 degrees.
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will award points- im currently using cos, sin and tan
Answer:
w = 9.82
x = 66.73
Step-by-step explanation:
By applying tangent rule in triangle ABD,
tan(81°) = \(\frac{\text{Opposite side}}{\text{Adjacent side}}\)
6.31 = \(\frac{62}{w}\)
w = \(\frac{62}{6.31}\)
w = 9.82
Similarly,
tan(39°) = \(\frac{\text{Opposite side}}{\text{Adjacent side}}\)
0.81 = \(\frac{62}{(x+w)}\)
0.81 = \(\frac{62}{9.83+x}\)
9.82 + x = \(\frac{62}{0.81}\)
x = 76.56 - 9.82
x = 66.74
Marcy wants to paint the sides of the wooden storage chest shown below gray except the white lid. What is the surface area?
Answer:
Surface area = 2,160 in²
Step-by-step explanation:
Given:
Length of box = 15 in
Width of box = 30 in
Height of box = 24 in
Find:
Surface area
Computation:
Surface area = 2h[l+b]
Surface area = 2(24)[30 + 15]
Surface area = 48 x 45
Surface area = 2,160 in²
Write an equation of a line in slope intercept form (y = mx + b) going through the points (2, 1)
and (-1,-5). Show your work for full credit.
Answer:
y=2x-3
Step-by-step explanation:
2. Un auto viaja a 60 km/h y se detiene a los 2 segundos. qué distancia recorrió en el
frenado? ¿qué aceleración adquirió? ¿Si la aceleración es positiva o negativa, explica
por qué?
Se calcula que la aceleración es - 8,35 m/s.
¿Qué es la aceleración?Ahora sabemos lo siguiente de la pregunta;
Velocidad inicial (u) = 60 km/h o 16,7 m/s
Tiempo empleado (t) = 2 s
Dado que;
v = tu + en
v = 0 m/s porque el carro se detenía
tu = -en
a = -(u/t)
a= -1(6,7 m/s/2 s)
a =- 8,35 m/s
La aceleración es negativa porque la velocidad disminuye con el tiempo.
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Which equation can be used to solve for x in the following diagram?
Answer:
x = 15Step-by-step explanation:
opposite angles = congruent
150 : 10x = 1 : 1
150 : 10x = 1
15x = 1
x = 15
------------------
check
150 : 10 * 150 = 1 : 1
150 : 150 = 1 : 1
1 : 1 = 1 : 1
the answer is good
Please if possible, give an explanation.
Answer:
Step-by-step explanation:
put the day and the amount of money you made
: Find a 95% confidence interval for a population mean µ for
these values: n = 49, x = 15, s 2 = 3.1
The 95% confidence interval for the population mean (µ) based on the given values is approximately 14.4964 to 15.5036.
What is confidence interval?A confidence interval is a type of interval calculation that determines the true value of the unknown parameter based on the observed data. The interval estimates the deterministic parameter with a level of confidence that is quantified by the confidence level.
To find the 95% confidence interval for the population mean (µ) based on the given values, we can use the formula:
Confidence Interval = x ± z * (s / √n)
Where:
- x is the sample mean
- z is the z-score corresponding to the desired confidence level (95% confidence level corresponds to a z-score of approximately 1.96)
- s is the sample standard deviation
- n is the sample size
Given:
- n = 49 (sample size)
- x = 15 (sample mean)
- s² = 3.1 (sample variance)
First, let's find the sample standard deviation (s) by taking the square root of the sample variance:
s = √s² = √3.1 = 1.760682
Now, we can calculate the confidence interval:
Confidence Interval = 15 ± 1.96 * (1.760682 / √49)
= 15 ± 1.96 * (1.760682 / 7)
= 15 ± 1.96 * 0.251526
Calculating the values:
Lower limit = 15 - 1.96 * 0.251526 ≈ 14.4964
Upper limit = 15 + 1.96 * 0.251526 ≈ 15.5036
Therefore, the 95% confidence interval for the population mean (µ) based on the given values is approximately 14.4964 to 15.5036.
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FREEEE POINTS REALLY
Answer:
x is less than 46
x<46°
Step-by-step explanation:
............
which term of the arthemetic sequence (1, 3, 5, 7) is equal to 141
Answer:
71th term is 141
Step-by-step explanation:
\(a_{1}=1\\\\common \ difference = d = second \ term - first \ term\\\\ = 3 - 1 = 2\\\\a_{n} = 141\\\\a + (n -1)*d = a_{n}\)
1 + (n - 1)*2 = 141 {Use distributive property}
1 + 2n - 2 = 141
2n - 1 = 141
2n = 141 + 1
2n = 142
n = 142/2
n = 71
Answer:
71st term
Step-by-step explanation:
First, find the nth term: 2n - 1 (the difference is 2, and the 0th term or the number before the 1 is -1). Next, set the nth term equal to 141 and solve for n. 2n - 1 = 141. We would add one to both sides → 2n = 142, then divide both sides by 2. n = 71.
Hope this helps!
1. What is the easiest explanation to 7th grade slope.
2. What is the best way to learn Spanish and Arabic
3. What AP classes should I take in High School will benefit me the most in the future.
4. The best method for staying focused
5. What are the pros and cons of taking Lion Mane supplements
6. How to get easy scholarships
Answer:
1. The definition of slope is it's the change in Y over the change in X or the change in Y divided by the change in X.
2. learn from a fluent friend
3.AP literature and composition
4. turn on white sound and you could do the 15 on 15 method
5. it could cause a rash in some conditions, and it could help relive anxiety
6. stay in collage
HAVE A GOOD DAY! HOPE U BENIFETED FROM MY ANSWER
Step-by-step explanation:
9v-3v=12
I need to simplify that answer please help
Answer:
v=2
Step-by-step explanation:
9v-3v=12
6v=12
v=2
2. find f(1), f(2), f(3), f(4), and f(5) if f(n) is defined re- cursively by f(0) = 3 and for n = 0, 1, 2, … a) f(n + 1) = −2f(n). b) f(n + 1) = 3f(n) + 7. c) f(n + 1) = f(n)2 − 2f(n) − 2. d) f(n + 1) = 3f(n)∕3.
Here are the values of f(1), f(2), f(3), f(4), and f(5) for each recursive definition:
a) \(\[f(1) = -6, \quad f(2) = 12, \quad f(3) = -24, \quad f(4) = 48, \quad f(5) = -96\]\)
b) \(\[f(1) = 16, \quad f(2) = 55, \quad f(3) = 172, \quad f(4) = 523, \quad f(5) = 1576\]\)
c) \(\[f(1) = 1, \quad f(2) = -3, \quad f(3) = 11, \quad f(4) = 107, \quad f(5) = 11365\]\)
d) \(\[f(1) = 3, \quad f(2) = 3, \quad f(3) = 3, \quad f(4) = 3, \quad f(5) = 3\]\)
a) Recursive definition: \(\(f(n + 1) = -2f(n)\)\)
To find \(\(f(1)\)\), we use the initial condition \(\(f(0) = 3\)\) and apply the recursive definition:
\(\[f(1) = -2f(0) = -2 \cdot 3 = -6\]\)
To find \(\(f(2)\)\):
\(\[f(2) = -2f(1) = -2 \cdot (-6) = 12\]\)
Similarly, we can continue applying the recursive definition to find \(\(f(3)\), \(f(4)\), and \(f(5)\)\):
\(\[f(3) = -2f(2) = -2 \cdot 12 = -24\]\)
\(\[f(4) = -2f(3) = -2 \cdot (-24) = 48\]\)
\(\[f(5) = -2f(4) = -2 \cdot 48 = -96\]\)
b) Recursive definition: \(\(f(n + 1) = 3f(n) + 7\)\)
Using the initial condition \(\(f(0) = 3\):\)
\(\[f(1) = 3f(0) + 7 = 3 \cdot 3 + 7 = 16\]\)
To find \(\(f(2)\)\):
\(\[f(2) = 3f(1) + 7 = 3 \cdot 16 + 7 = 55\]\)
Continuing in the same manner:
\(\[f(3) = 3f(2) + 7 = 3 \cdot 55 + 7 = 172\]\)
\(\[f(4) = 3f(3) + 7 = 3 \cdot 172 + 7 = 523\]\)
\(\[f(5) = 3f(4) + 7 = 3 \cdot 523 + 7 = 1576\]\)
c) Recursive definition: \(\(f(n + 1) = f(n)^2 - 2f(n) - 2\)\)
Using the initial condition \(\(f(0) = 3\)\)
\(\[f(1) = f(0)^2 - 2f(0) - 2 = 3^2 - 2 \cdot 3 - 2 = 1\]\)
To find \(\(f(2)\):\)
\(\[f(2) = f(1)^2 - 2f(1) - 2 = 1^2 - 2 \cdot 1 - 2 = -3\]\)
Continuing in the same manner:
\(\[f(3) = f(2)^2 - 2f(2) - 2 = (-3)^2 - 2 \cdot (-3) - 2 = 11\]\)
\(\[f(4) = f(3)^2 - 2f(3) - 2 = 11^2 - 2 \cdot 11 - 2 = 107\]\)
\(\[f(5) = f(4)^2 - 2f(4) - 2 = 107^2 - 2 \cdot 107 - 2 = 11365\]\)
d) Recursive definition: \(\(f(n + 1) = \frac{{3f(n)}}{3}\)\)
Using the initial condition \(\(f(0) = 3\):\)
\(\[f(1) = \frac{{3f(0)}}{3} = \frac{{3 \cdot 3}}{3} = 3\]\)
Since the recursive definition is \(\(f(n + 1) = \frac{{3f(n)}}{3}\)\), the value of \(\(f(n)\)\) remains constant as 3 for all values of \(\(n\)\). Hence, \(\(f(2)\), \(f(3)\), \(f(4)\),\) \(\(f(5)\),\) the value will be 3.
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HELP ASAP WILL GIVE BRAINLIEST!! What is the value of 8.25p + 3.99c, when p=12 and c=8.
Answer:
130.92
Step-by-step explanation:
8.25(12)+3.99(8)
99+31.92
130.92
Solve the proportion.
X/10 = 5/8
Answer:
x = 6.25----------------
Multiply both sides by 10:
10 × x/10 = 10 × 5/8x = 50/8x = 6.25Answer:
x = 50/8x = 6.25Step-by-step explanation:
Given proportion,
→ x/10 = 5/8
Now we have to,
→ Find the required value of x.
Then the value of x will be,
→ x/10 = 5/8
→ x = (5/8) × 10
→ x = (5 × 10)/8
→ x = 50/8
→ [ x = 6.25 ]
Hence, the value of x is 6.25.
if the force t1 is applied to the rope at a , determine the force t2 at b needed to pull the rope over the two fixed drums having the angles of contact and the coefficients of static friction shown.
To determine the force t2 needed to pull the rope over the two fixed drums, we must first consider the forces acting on the rope. The force t1 applied at point A will create a tension force along the length of the rope, and this tension force will be transferred to point B. At point B, the tension force will need to overcome the frictional forces acting on the drums in order to move the rope.
The frictional forces acting on the drums are caused by the angles of contact and the coefficients of static friction. The angles of contact are the angles formed by the rope and the drums, and the coefficients of static friction are the values that represent the resistance of the surfaces to sliding against each other. The greater the angle of contact and the higher the coefficient of static friction, the greater the frictional force acting on the rope.
To determine the force t2 needed to overcome these frictional forces, we can use the following equation:
t2 = t1 * e^μθ
Where μ is the coefficient of static friction and θ is the angle of contact. We can plug in the values given in the problem to get:
t2 = t1 * e^(0.3 * 120°) ≈ 1.54t1
Therefore, the force t2 needed to pull the rope over the two fixed drums is approximately 1.54 times the force t1 applied at point A.
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Ok I rlly need help with this question it’s rlly hard for me there’s a picture to show —> helppp
Answer:
x=20; vertical angles theorem
Step-by-step explanation:
hi! we can use the vertical angles theorem for this. vertical angles are congruent to each other, meaning they are the same amount of degrees. so, we can set 2x+10 and 50 equal to each other.
2x+10=50
2x=40
x=20
x=20 because of the vertical angles theorem.
brittany is three times as old as steve. in 9 years, she will be twice as old as him. how old is brittany now?
Therefore, the preceding equation, which states that Brittany will be twice as old as Steve in 9 years, is proven when Brittany is 54 years old and Steve is 18 years old.
what is an equation ?Equations are mathematical statements with the equals (=) sign on each side and two algebraic expressions in the center.
Coefficients, variables, operators, constants, terms, and the equal to sign are just a few of the components that make up an equation. The "=" symbol and terms on both sides are always needed when writing an equation.
calculation
Let s = brittany 's age now
Let t = steve's age now
s = 3t
s + 9 = 2 (t+9)
s + 9 = 2t + 27
s = 2t + 27 - 9
s = 2t + 18
Substitute 3t for s and find t
3t = 2t + 18
3t - 2t = 18
t = 18 yrs is steve's age
then
s = 3(18)
s = 54 yrs is brittany's age
Therefore, the preceding equation, which states that Brittany will be twice as old as Steve in 9 years, is proven when Brittany is 54 years old and Steve is 18 years old.
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I don’t understand how to solve 3.8+6(0.9) = 8.6
Answer:
The answer =-0.6
Step-by-step explanation:
Now you have 3.8 +6(0.9)=8.6 first subract 3.8 from 8.6 and then subract 5.4(you got 5.4 from multiplying from 6x0.9) from 4.8 and tne you get the total of -0.6
Hopefully that helps
Jim does 12 push ups in a set. If one day he does two sets, the next day three, and the next day one, how many push ups did he do?
Answer:
72
Step-by-step explanation:
12 x 2 = 24
12 x 3 = 36
12 x 1 = 12
24+36+12 = 72