Find the exact angle between 0 and 2π radians that is coterminal to the given angle.
π
Answers
Answer:
π
Step-by-step explanation:
The coterminal angle is π mod 2π = π
Related Questions
A bag contains 11 apples and 6 oranges. If you select 6 pieces of fruit without looking, how many ways can you select exactly 5 apples
Answers
Answer:
you have a 11/17 percent chance of getting an apple
Step-by-step explanation:
if there are 11 apples and 6 oranges. 11 out of 17 times you will get an apple
Laura is 3 ft tall how tall is Laura in inches
Answers
Multiply 3 by 12 because there are 12 inches in a single foot.
3 x 12 = 36
So your gonna multiply 3 by 12 to get your total amount in inches
3ft*12inch=36inches
Multiplying fractions 3 1/6 x 3/7
Answers
Given:
\(3\frac{1}{6}\times\frac{3}{7}\)Simplify the fraction,
\(\begin{gathered} 3\frac{1}{6}\times\frac{3}{7}=(3+\frac{1}{6})\times\frac{3}{7} \\ =\frac{(3\times6)+1}{6}\times\frac{3}{7} \\ =\frac{19}{6}\times\frac{3}{7} \\ =\frac{19}{2\times7} \\ =\frac{19}{14} \end{gathered}\)Answer:
\(\begin{gathered} 3\frac{1}{6}\times\frac{3}{7}=\frac{19}{14} \\ In\text{ mixed fraction,} \\ 3\frac{1}{6}\times\frac{3}{7}=1\frac{5}{14} \end{gathered}\)Question
Jackson's backpack weighed 15 kg. Convert the weight to pounds. Round to the nearest pound.
Answers
Answer:
\(15 \times 2.205 = 33.0693 \: lb\)
Unit conversion is a way of converting some common units into another without changing their real value. The Weight of Jackson's backpack is 33.075 pounds.
What is unit conversion?Unit conversion is a way of converting some common units into another without changing their real value. for, example, 1 centimetre is equal to 10 mm, though the real measurement is still the same the units and numerical values have been changed.
Since 1 kg is equal to 2.205 pounds. Therefore, the Weight of Jackson's backpack is,
15 kg = 2.205 × 15 kg = 33.075 pounds
Hence, the Weight of Jackson's backpack is 33.075 pounds.
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Find the indicated term of the sequence whose nth term is given by the formula.
an = (−1)n − 3n2; a12
a12 =
Answers
Answer:
a 12= − 3 n 2 − n
Step-by-step explanation:
John decides to purchase a TV using an installment plan for the upcoming Super Bowl. He needs to put 20% down on the$2,038 TV. The remaining balance he would pay back over the next 3 years. The monthly payments using the installmentplan are $50.49. What is the finance charge? Round your answer to the nearest cent. Do not include a dollar sign in youranswer.
Answers
In order to determine the finance charge, proceed as follow:
Calculate the 20% of 2,038:
\(\frac{20}{100}\cdot2038=407.6\)Then, the inial amount John pays is $407.6.
The next three years he pays $50.49 per month, which is a total of:
$50.49*36 = $1,817.64 (you multiplied by 36 because 3 years have 36 month)
Then, the total amount of money John pays is:
$407.6 + $1,817.64 = $2,225.24
The original price of the TV was $2,038. The finananca charge is the difference betwee the previous result and the original price:
finance charge = $2,225.4 - $2,038 = $187.24
The finance charge is
Kendall has a model clock tower. The real tower is 316 feet tall. Kendall's tower is 79 centimeters tall. What is the scale of her model clock tower?
Answers
find the value of x if (1.1)^x=100
Answers
Answer:
x ≈ 48.3177
Step-by-step explanation:
This is what logarithms are for (among other things).
log(1.1^x) = log(100)
x·log(1.1) = 2
x = 2/log(1.1) ≈ 48.3177
In calculus, it can be shown that
e^x=infintesigmak=0 x^k/k!
We can approximate the value of for any x using the following sum e^x=infintesigmak=0 x^k/k!
a) Approximate e^2.2 n=3
Answers
Answer: \(7.39466666\)
Step-by-step explanation:
Setting \(x=2.2\) and \(n=3\),
\(e^{2.2} \approx \sum^{3}_{k=0} \frac{2.2^{k}}{k!}=\frac{2.2^0}{0!}+\frac{2.2^1}{1!}+\frac{2.2^2}{2!}+\frac{2.2^3}{3!} \approx 7.39466666\)
Answer:
7.39466667 (8 d.p.)
Step-by-step explanation:
We can approximate the value of eˣ for any x using the following sum formula:
\(\boxed{e^{x} \approx \displaystyle \sum^n_{k=0}\dfrac{x^k}{k!}}\)
To approximate \(e^{2.2}\) with n = 3, substitute x = 2.2 and n = 3 into the given sum formula:
\(e^{2.2} \approx \displaystyle \sum^3_{k=0}\dfrac{2.2^k}{k!}\)
To calculate the sum, substitute k with each value from 0 to 3 and add the results together:
\(\begin{aligned}e^{2.2} &\approx \displaystyle \sum^3_{k=0}\dfrac{2.2^k}{k!}\\\\&= \dfrac{2.2^0}{0!}+\dfrac{2.2^1}{1!}+\dfrac{2.2^2}{2!}+\dfrac{2.2^3}{3!}\\\\&= \dfrac{1}{1}+\dfrac{2.2}{1}+\dfrac{4.84}{2}+\dfrac{10.648}{6}\\\\&= 1+2.2+2.42+1.774666666...\\\\&=7.39466667\; \sf (8\;d.p.)\end{aligned}\)
Therefore, the approximate value of \(e^{2.2}\) is:
\(\large \textsf{$e^{2.2}$}=\boxed{7.39466667}\; \sf (8\;d.p.)}\)
Note: To obtain a more accurate approximate value, increase the value of n.
An electrician leans an extension ladder against the outside wall of a house so that it
reaches an electric box 31 feet up. The ladder makes an angle of 78° with the ground.
Find the length of the ladder. Round your answer to the nearest tenth of a foot if
a
necessary.
Answers
Answer:
50.41 feet
Step-by-step explanation:
Hypotenuse = length of ladder
31 = opposite side of angle
sin(angle) = (opposite)/(hypotenuse)
sin(78) = (36)/(hypotenuse)
hypotenuse = sin(78)/ (36)
hypotenuse = 50.41 feet
length of ladder = 50.41 feet
Ann and Joe’s father donated $3 for every lap they swam in a swim-a-thon. Ann swam 21 laps, and Joe swam 15 laps. Find the amount of money their father donated.
Answers
Ann: 21 laps
Joe: 15 laps
Total: 21 laps + 15 laps = 36 laps
Step 2: Multiply each lap swam by $3.
36 x $3 = $108
Their father donated $108.
Find four consecutive integers whose sum is 110
Answers
Answer:
The four integers are: 26, 27, 28 and 29.
Explanation:
We want to find four consecutive integers whose sum is 110.
Let these integers be:
m, m+1, m+2, and m+3
Since their sum is 110, we have:
m+(m+1)+(m+2)+(m+3) = 110
Collecting like terms above, we have:
4m + 6 = 110
Subtract 6 from both sides
4m = 110 - 6
4m = 104
Divide both sides by 4
m = 104/4
m = 26
Since we have now gotten a value for m, it is easy to find what the four consecutive integers are.
The integers, like earlier stated are:
m = 26
m+1 = 27
m+2 = 28
and
m+3 = 29.
place the four problem-solving steps in order
Answers
Since the sum of a triangle's internal angles is always 180 degrees, x has a value of 40 degrees.
what is triangle ?The polygonal shape of a triangle has three edges and three angles. It is one of the most fundamental and significant geometric shapes and is utilised in a wide range of mathematical, scientific, and engineering fields. The edges and angles of a triangle can be used to classify it in various ways. Triangles can be categorised in one way by their sides: Three equal sides make up an equilateral triangle. Two of the edges of an isosceles triangle are equal. Three of the edges of a scalene triangle are unequal.
given
The property of angles in a triangle, which says that the sum of a triangle's interior angles is always 180 degrees, can be used to determine the value of x in the given figure.
Triangle ABC consists of:
∠A + ∠B + ∠C = 180
Since we know that A = 50 degrees and B = 90 degrees, we can use these numbers as a substitute:
50 + 90 + ∠C = 180
When we simplify the solution, we obtain:
140 + ∠C = 180
140 from both sides is subtracted, giving us:
∠C = 40
Since the sum of a triangle's internal angles is always 180 degrees, x has a value of 40 degrees.
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Eric recycles bottles at the local recycling center to earn money for a new bike.Eric keeps track of how much he earned in this graph
Answers
$108.50
1 bottle collected= $1.50 + $2.00 + $2.50 = $6.00
2 bottles " = $5.00
3 bottles " = $5.50 + $6.00 = $11.50
4 bottles " = $7.00 + $8.00 = $15.00
5 bottles " = $6.00 + $9.00 + $10.00 = $25.00
6 bottles " = $2.00 + $8.00 + $11.00 + $13.00 = $34.00
7 bottles " = $12.00
Then you add up all the answers to get the final amount Eric earned.
$6.00 + $5.00 + $11.50 + $15.00 + $25.00 + $34.00 + $12.00 = $108.50.
Which regression equation best fits these data?
х
y
1-2, 16).16)
15
-5
11
21.15)
-3
14
.6314
.(-5.11
10
(372)
- 2
16
4,9)
-1
16
1
15
3
12
6
4.
9
5
6
O A. y = -0.59x + 12.5
B. y = 0.30x2 + 0.48x + 15.83
C. y = 12.00 0.94%
Answers
Answer:
a will be the correct answer bro be sure
The Regression equation best fits these data is ŷ = -0.58939x + 12.52235
We have the table as from which can be calculated as
Sum of X = 2
Sum of Y = 99
Mean X = 0.25
Mean Y = 12.375
Sum of squares (S\(S_x\)) = 89.5
Sum of products (SP) = -52.75
As, Regression Equation
ŷ = b x + a
where b = SP/S\(S_x\)
b = -52.75/89.5
b = -0.58939
and, a = MY - b MX
a = 12.38 - (-0.59)(0.25)
a = 12.52235
So, the required equation is ŷ = -0.58939x + 12.52235
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Find the volume of the figure. For calculations involving , give both the exact value and an approximation to the nearest hundredth of a unit. Let d = 10 and h = 18.
________ ft3 ≈ _________ft3
Answers
Thus, the volume of cylinder with the given height and diameter is found as 1413 ft³.
Explain about the shape of cylinder:A cylinder is three-dimensional. It's not a flat thing. There are parallel circular bases in this shape. These bases have a curved face affixed to them. A cylinder in this instance has three faces. Along both end of a curved face, which rounds back to the face's origin, are two spherical bases.
Given that-
diameter d = 10 ftRadius r = 10/2 = 5 ftHeight h = 18 ftVolume of cylinder = πr²h
Volume of cylinder = 3.14 *5²*18
Volume of cylinder = 3.14*25*18
Volume of cylinder = 1413 ft³
Thus, the volume of cylinder with the given height and diameter is found as 1413 ft³.
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5 Signs for science project displays are cut of poster board that measure 1 yard on each side. Each sign is-yard long and-yard wide. How ma signs can be cut from 1 piece of poster board? Wh the area of each sign? Show your work.
Answers
Answer:
\(\text{27}\)
Step-by-step explanation:
Given that :
\(\text{Dimension of poster board} = 1 \ \text{yd} \ \text{by} \ 1 \ \text{yd}\)
\(\text{Dimension of each poster board} = \dfrac{1}{3} \ \text{yd} \ \text{by} \ \dfrac{1}{9} \ \text{yd}\)
Number of poster signs that can be cut :
\(\text{Area of poster sign} = \dfrac{1}{3} \times \dfrac{1}{9} = \dfrac{1}{27} \ \text{yard}^2\)
\(\text{Area of poster board} = 1 \ \text{yard}^2\)
Number of poster signs that can be cut :
\(\dfrac{\text{Area of poster board}}{\text{Area of poster sign}}\)
\(1 \ \text{yard}^2\div (\dfrac{1}{27} ) \ \text{yard}^2\)
\(1 \div \dfrac{1}{27}\)
\(1 \times \dfrac{27}{1}\)
\(\bold{= 27 \ poster \ signs}\)
What is the value of x in the equation 1.5(x + 4) - 3 = 4.5(x - 2)?
Answers
FILL IN THE BLANK. "When setting up an interview, ____________ will take on great importance to the organization and individual."a. sympathyb. time bookedc. sincerityd. in-kind services
Answers
When setting up an interview, sincerity will take on great importance to the organization and individual. Hence, the correct option is C.
Sincerity means the act of being sincere, honesty of mind: and freedom from hypocrisy. It is an important quality a person's character must possess. Sincerity allows a person to build credibility in the workplace and build good foundational relationships with other people in the world.
When interviewing, along with many other traits, the sincerity trait of the person is always checked to understand the value of that person for the organization. It also becomes the basis of trust between the interviewer and the interviewee. Hence, the answer to his question is -
"When setting up an interview, sincerity will take on great importance to the organization and individual."
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I WILL MARK 100 BRAINLIEST IF CORRECT
Answers
Given is the absolute value function.
It has no domain restrictions but the range is never negative.
The domain is:All real numbersThe range is:y ≥ 0Answer:
Domain: All Real Numbers
Range: y ≥ 0
Step-by-step explanation:
Given function:
\(g(x)=|x+4|\)
The given function is an absolute value function.
The bars either side of the expression are the absolute value symbol. "Absolute value" means how far a value is from zero. Therefore, the absolute value of a number is its positive numerical value.
The domain of a function is the set of all possible input values (x-values).
As the domain is unrestricted, the domain of the given function is:
All real numbers.The range of a function is the set of all possible output values (y-values).
As g(x) is an absolute value function, its range is greater than or equal to zero. Therefore, the range of the given function is:
y ≥ 0
4 3/8 + 5 1/2= in fractions
Answers
Answer:
9 7/8
Step-by-step explanation:
1. 4 3/8 can be converted into the improper fraction 35/8, and 5 1/2 can be converted into 11/2.
2. Now that we have 35/8 + 11/2, we have to find a common denominator. Since 2 goes into 8 four times, we can turn 11/2 into 44/8 by multiplying the numerator and denominator (the top and the bottom numbers) by 4.
3. Now we have 35/8 + 44/8. At this point, the all we have to do is add the numerators (the top numbers). 35+44=79, so our answer is 79/8, which we can simplify to 9 7/8.
A company produces two products: A and B. The relative market values at the split-off point are not available. For every $300,000 of joint costs, Product A produces 10,000 pounds, and Product B produces 40,000 pounds. The amount of joint costs allocated to Product B using the physical quantities method is $
Answers
The joint costs allocated to Product B is $240,000.
What is amount of joint costs allocated to Product B?We must allocate joint costs based on the relative physical quantities produced by each product.
The total physical quantity produced by both products is:
= Quantity of A + Quantity of B
= 10,000 + 40,000
= 50,000 pounds
We will calculate the proportion of physical quantity produced by product A:
= Quantity of B / Total physical quantity
= 40,000 / 50,000
= 0.8
The amount of joint costs allocated to Product B is will be
= Total joint costs x Proportion of
= $300,000 x 0.8
= $240,000.
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27 is smaller than 5 times a number increased by 7
Answers
Answer:
4
Step-by-step explanation:
this means that 5x+7=27
subtract 7 from both sides
5x=20
x=4
Which equation is parallel to the above equation and passes through the point (35, 30)?Group of answer choicesy=5/7x +79y=5/7x +30y= 5/7x +10y= 5/7x + 5
Answers
Notice that all the options contain the term
\(\frac{5}{7}x\)Setting x=35, we obtain
\(\frac{5}{7}(35)=5\cdot5=25\)Finally,
\(30=25+5\)Then, the answer is
\(\begin{gathered} y=\frac{5}{7}x+5 \\ \text{set x=35} \\ \Rightarrow y=\frac{5}{7}\cdot35+5=25+5=30 \end{gathered}\)Option D is the answer, y=5x/7+5.
Notice that all the options have the same slope as that of the line y=5x/+10
The graph shows the vertical position of a ball attached to a spring oscillating between a low point and a high point as a function of time.
Select all statements that describe the graph.
The amplitude is 24 cm.
The ball travels 24 cm in 1 s.
It takes the ball 2 s to complete a cycle.
The midline is at f(x)=0.
Answers
Step-by-step explanation:
The statements that describe the graph are,
The ball travels 24 cm in 1s.
It takes the ball 2s to complete a cycle
The midline is at f(x)=0
I hope it helped you
What is the equation in standard form of the line shown
on the graph?
The equation of the line in standard form is
vbx +
N +
2
-2
2
4
-2
-4
Answers
Answer:
Step-by-step explanation:
.
Answer: 3x-4y=12
Step-by-step explanation:
Question 8 of 10
The linearized regression equation for an exponential data set is
log y = 0.23x + 0.8, where x is the number of years and y is the population
What is the predicted population when x - 10? Round your answer to the
nearest whole number.
A. 81,963
B. 200
C. 3
D. 1259
.
Answers
Answer:
log y = 3
Step-by-step explanation:
Substitute 10 for x, obtaining the following:
log y = 0.23(10) + 0.8, or
log y = 2.3 + 0.8, or 3.10, or (to the nearest whole number):
log y = 3
Tyson can type 49 words per minute. How long will it take him to type a 1000-word essay?
Answers
Answer:
20.4minutes
Step-by-step explanation:
Duration= Number of words/Typing speed
Duration= 1000/ 49 per min
= 20.4minutes
Hope this helped you- have a good day bro cya)
Two coins are tossed. Assume that each event is equally likely to occur.
a) Use the counting principle to determine the number of sample points in the sample space.
b) Construct a tree diagram and list the sample space.
c) Determine the probability that no tails are tossed.
d) Determine the probability that exactly one tail is tossed.
e) Determine the probability that two tails are tossed.
f) Determine the probability that at least one tail is tossed.
Question content area bottom
Part 1
a) There is/are --------- sample point(s) in the sample space.
Answers
a. There are 4 sample points in the sample space.
What are the probability values for the toss?a) There are 4 sample points in the sample space.
b) The tree diagram and sample space are:
HH (two heads)
HT (one head, one tail)
TH (one head, one tail)
TT (two tails)
c) The probability that no tails are tossed (two heads) is 1/4 or 0.25.
d) The probability that exactly one tail is tossed (HT or TH) is 1/2 or 0.5.
e) The probability that two tails are tossed is 1/4 or 0.25.
f) The probability that at least one tail is tossed (HT, TH, or TT) is 3/4 or 0.75.
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The Reyes want grilled chicken and tilapia for dinner. Mrs.
Reyes finds that chicken sells at Php 150 per kilogram and
tilapia sells at Php 100 per kilogram. How many kilograms of
each she buy if the total cost is not to exceed to Php 450?
Answers
Answer:
Kilogram of chicken = 1
Kilogram of tilapia = 3
Step-by-step explanation:
Cost of chicken = 150 per kilo
Cost of tilapia = 100 per kilo
Number of kilos of each if total cost should not exceed 450
Let :
Number of kilo of chicken = x
Number of tilapia kilo = y
The constraint :
150x + 100y ≤ 450
We could choose some reasonable values of x and y then, test the constraint ;
If x = 1 and y = 3
150(1) + 100(3) = 450
Hence,
1 kilo of chicken with 3 kilos of tilapia offers the greatest combination of Number of kilograms of tilapia and chicken that could be purchased and still satisfy the maximum cost constraint.