Answer:
134 degrees
Step-by-step explanation:
3x-6=180
3x=186
x=62
2x+10
=124+10
=134
Answer:
x-16+2x+10=180 x=62
Step-by-step explanation: 2(62)+10=134
Angle FDG=134
Christie has $200 in her bank account. Every month, she deposits $20 into her account.
The equation of the line that models the amount of money, y, in her account x months from now is y = x .
Answer:
y = 20x + 200
Step-by-step explanation:
The 200 is the constant. It is only added once, but the monthly deposits are added at 20 every month.
After 1 month:
y = 20x + 200
y = 20(1) + 200
y = 20 + 200
y =220 money deposited.
After 2 months:
y = 20x + 200
y = 20(2) + 200
y = 40 + 200
y =240 money deposited.
After 3 months:
y = 20x + 200
y = 20(3) + 200
y = 60 + 200
y = 260 money deposited
And so on, and so on, and so on...
Estimate:
8 3/5 + 8 4/9
Answer:
17
Step-by-step explanation:
You know that 8+8=16, and adding the fractions would result in something close to 17.
The quadratic functions f(x) and g(x) are described in the table.
x f(x) g(x)
−6 36 4
−5 25 1
−4 16 0
−3 9 1
−2 4 4
−1 1 9
0 0 16
1 1 25
2 4 36
In which direction and by how many units should f(x) be shifted to match g(x)?
Left by 4 units
Right by 4 units
Left by 8 units
Right by 8 units
The direction that the quadratic function f(x) is to be translated is to the left and the units is 4.
Here given two functions, f(x) and g(x).
General form of the quadratic function is,
ax² + bx + c.
It is clear that, f(x) is simply the square of the x values.
f(x) = x²
Since g(x) is the translation of the function f(x) and the value of g(x) = 0, when x = -4,
g(x) = (x + 4)²
That is,
g(x) = f(x + 4).
So f(x) is shifted left by 4 units.
Hence f(x) is shifted left by 4 units.
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Which expression is equivalent to 4 (5X + 3y)
Answer:
20x + 12y
Step-by-step explanation:
=> 4(5x + 3y)
=> 20x + 12y
Since we can't simplify this further, 20x + 12y is out answer.
Hoped this helped.
PLEASE PLEASE HELP MEEE :(
Select the correct point on the coordinate plane.
Which point can be used to form a right triangle to derive the distance formula to find the length of the line segment?
(-3, 3) and (4, -1) are the points that can be used to form a right triangle to derive the distance formula to find the length of the line segment
Determining the distance between two points.Given the line on the xy-plane, we are to determine the points on the line that can be used to determine the distance between the two points.
The required points on the line will be the two endpoints on the line. The end points are (-3, 3) and (4, -1). The distance between this points is expressed as:
D = √(-1-3)²+(4+3)²
D = √14 + 49
D = √63
Hence the points that can be used to form a right triangle to derive the distance formula are (-3, 3) and (4, -1)
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Answer: It’s -1,-3
Step-by-step explanation:
got 100 on the test
Find f(g(4)) if f(x)=2x+1 and g(x)=x^2
Answer:
is this even math????
Step-by-step explanation:
First solve g(x) by replacing x with 4
G(x) = x^2 = 4^2 = 16
Now replace x in f(x) with 16:
F(x) = 2x + 1 = 2(16) + 1 = 32 +1 = 33
The answer is 33
X,(x-36) What is the value of x
The value of x is 63
How to determine the valueTo determine the value of the variable, we have that;
Angles at a point is equal to 360 degreesComplementary angles are defined as angles that sum up to 90 degreesSupplementary angles are defined as angles that sum up to 180 degreesAngles on a straight line is equal to 180 degreesFrom the information given, we have that;
x and x - 36 are complementary angles
Now, equate the angles to 90 degrees, we have;
x + x - 36= 90
collect the like terms, we get;
2x = 90 + 36
add the terms
2x =1 26
Divide by the coefficient
x = 63
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Complete question:
The angles X,(x-36) are complementary. What is the value of x
in the year 2010, the luxury bike industry had two bike manufactures splendor and passion with the market shares of 30% and 70%,respect. in 2011 the overall market for the product increased by 20% and a new player yahma also entered and cpatures the 10% of the market share.
Answer: 50%
Step-by-step explanation:
In 2010, there were only 2 bike manufacturers and they had market shares of 30% and 70%.
A new manufacturer joins the market and captures 10% of the market share and Splendor increases to 40% of market share.
Market shares:
Yamaha = 10%
Splendor = 40%
Passion = 100% - 10% - 40%
= 50%
The table shows the data of a random sample of fish that were collected from and later released into a lake.
Type of Fish Bass Eel Gar
Number of Fish 92 56 52
How many eels are estimated to be present if a sample of 1,000 fish is collected from the lake? (1 point)
a
112
b
280
c
320
d
380
Answer: d
Step-by-step explanation: its d
The radius of a circle is 3 inches. What is the circle's circumference? Use 3. 14 .
Answer:
18.84
Step-by-step explanation:
You multiply 3 by 2 and then 6 by 3.14
At a university of 25,000 students, 18% are older than 25. The registrar will draw a simple random sample of 242 of the students. The percentage of students older than 25 in the sample has an expected value of 18% and a standard error of:______.
Answer:
Standard error of: 2.47%
Step-by-step explanation:
Central Limit Theorem
The Central Limit Theorem establishes that, for a normally distributed random variable X, with mean \(\mu\) and standard deviation \(\sigma\), the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean \(\mu\) and standard deviation \(s = \frac{\sigma}{\sqrt{n}}\).
For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.
For a proportion p in a sample of size n, the sampling distribution of the sample proportion will be approximately normal with mean \(\mu = p\) and standard deviation \(s = \sqrt{\frac{p(1-p)}{n}}\)
18% are older than 25.
This means that \(p = 0.18\)
Simple random sample of 242 of the students.
This means that \(n = 242\)
Standard error:
By the Central Limit Theorem:
\(s = \sqrt{\frac{0.18*0.82}{242}} = 0.0247\)
0.0247*100% = 2.47%
Standard error of: 2.47%
Factor the expression 4x^2 + 9
doesn't factorize unless there is an x or if the 9 is negative
This year you earned $75,500. Last year you earned $72,400. What was the rate of change on your earnings since last year
Answer:
4.28%
Step-by-step explanation:
We Know
Last year you earned $72,400
This year you earned $75,500
What was the rate of change in your earnings since last year?
We Take
(75,500 ÷ 72,400) x 100 ≈ 104.28%
Then We Take
104.28 - 100 = 4.28%
So, the earning increased by about 4.28%.
It takes 5men 8 day to dig a septic hole .how long will it take 2 men to build the same hole,working at the same rate?
Answer:
Step-by-step explanation:
39.6% of consumers believe that cash will be obsolete in the next 20 years. Assume that 6 consumers are randomly selected. Find the probability that fewer than 3 of the selected consumers believe that cash will be obsolete in the next 20 years.
The probability that fewer than 3 of the selected consumers believe that cash will be obsolete in the next 20 years IS 0.528.
The binomial probability:The binomial probability formula is used to calculate the probability of getting exactly k successes in n independent trials, where each trial has only two possible outcomes (success or failure) and the probability of success is denoted as p. The formula is:
\(P(X=k) = C(n,k)\times p^k\times(1-p)^{(n-k)\)Here we have
39.6% of consumers believe that cash will be obsolete in the next 20 years.
Let p be the probability that a consumer believes that cash will be obsolete
=> p = 39.6% or 0.396.
Then, the probability that a consumer does not believe that cash will be obsolete is q = 1 - p = 0.604.
We need to find the probability that less than 3 of the selected consumers believe that cash will be obsolete.
P(X < 3) = P(X = 0) + P(X = 1) + P(X = 2)
Using the binomial probability formula, we have:
\(P(X = k) = C(n,k) \times p^k\times q^{(n-k)\)
=> P(X = 0) = C(6, 0) × (0.396)⁰ × (0.604)⁶ = 0.048
=> P(X = 1) = C(6, 1) × (0.396)¹ × (0.604)⁵ = 0.18
=> P(X = 1) = C(6, 2) × (0.396)² × (0.604)⁴ = 0.3
P(X < 3) = 0.048 + 0.18 + 0.3 = 0.528
Therefore,
The probability that fewer than 3 of the selected consumers believe that cash will be obsolete in the next 20 years IS 0.528.
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Line segment AB is equal to 40cm. What is the length of the middle part in terms of x?
Answer:
Step-by-step explanation:
40/30=409
Help me please please
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\(( { \frac{13}{7} })^{2} = \frac{ {13}^{2} }{ {7}^{2} } = \frac{169}{49} \\ \)
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Cricket match Australia v England begins 10:00 UK time. Australian time is 11 hours ahead of UK time. What time will the game start in Australia (24 hr clock)
Answer:
21:00 AST
Step-by-step explanation:
10:00 uk time
Australia time is 11 hours ahead of UK time then
10:00 + 11 hours
21:00 AUSTRALIA TIME
OR 9:00 PM Australia time
A Car moves 45km in 45 min.What
is it speed in kilometres per hour
Hello !
45min = 3/4h = 0,75h
\(\frac{45km}{0,75h} \\\\= \frac{45km*\frac{1}{0,75} }{0,75h*\frac{1}{0,75} } \\\\= \frac{60km}{1h}\)
s = 60km/h
\(s=\dfrac{d}{t}\\\\d=45\text{ km}\\t=45\text{ min}=0.75\text{ h}\\\\s=\dfrac{45\text{ km}}{0.75\text{ h}}=60\dfrac{\text{km}}{\text{h}}\)
pls also calculate this problem: (ty)
x=1/3
33x-1=10
add 1 on both sides
33x=11
divide 33 on both sides
and it should equal 1/3
What is15% off of $25?
Answer:
21.25
Step-by-step explanation:
show that in any set of six classes there must be two that meet on the same day, assuming that no classes are held on weekends.
There must be two that meet on the same day, assuming that no classes are held on weekends.
What is Set?
Sets are groups of clearly defined objects or elements in mathematics. A set is denoted by a capital letter, and the cardinal number of a set is enclosed in a curly bracket to indicate how many members there are in a finite set.
According to question:Let us show that in any set of six classes, each meeting regularly once a week on a particular day of the week, there must be two that meet on the same day, assuming that no classes are held on weekends.
Since there are 5 working days by a week and 6 classes, by Pigeonhole Principle there must be two that meet on the same day.
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1) How much interest will you pay on a $43,000 car loan with a fixed APR of 4.9% if the loan is
for 5 years?
You pay the interest of 350 dollar on a $43,000 car loan with a fixed APR of 4.9% if the loan is for 5 years
What is APR?The term annual percentage rate of charge, sometimes referred to as a nominal APR and sometimes referred to as an effective APR, refers to the interest rate for the entire year, rather than just a monthly fee/rate, as applied to a loan, mortgage loan, credit card, and so on. It is a finance charge calculated on an annual basis.
We are given that it took out a car loan for $43,000 car loan with a fixed APR of 4.9% if the loan is for 5 years
We know that r = 4.9/12/100 = 0.0049
p = 43,000
Putting the values in formula we get;
= (43,000x 0.0049 x 2.767)/1.767
= $350
Therefore, the interest will be 350 dollar.
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Write these fractions as whole nombers
8/4
21/3
56/8
48/8
Answer:2, 7, 7, 6
Step-by-step explanation:
Answer:
1) 8/4 = 2
2) 21/3 = 7
3) 56/8 = 7
4) 48/8 = 6
Step-by-step explanation:
To convert a fraction into a whole number: Divide the numerator by the denominator.
What's a numerator?:
A numerator is the part of a fraction above the line. So, 8 in 8/4 is the numerator.
What's a denominator?:
A denominator is the bottom number in a fraction. So, 4 in 8/4 is the denominator.
1) 8/4 = 8 divided by 4 = 2.
2) 21/3 = 21 divided by 3 = 7
3)56/ 8 = 56 divided by 8 = 7
4) 48 / 8 = 48 divided by 8 = 6
Mrs. Larson was making gift bags for the 6 students in her reading group she was putting little erasers in the bags she had bag of 20 erasers how many erasers did each student get show all work
Answer:
each student gets 3 erasers
Step-by-step explanation:
You have to divide 20 total erasers by the 6 students and you get about 3.33... and this number rounded down is 3.
Have an stupendous day! I hope this answer was helpful to you.
Each student get 3 erasers.
What is Division method?
Division method is used to distributing a group of things into equal parts. Division is just opposite of multiplications.
For example, dividing 20 by 2 means splitting 20 into 2 equal groups of 10.
Given that;
Total number of students = 6
Number of erasers = 20
Now,
Since, Total number of students = 6
And, Number of erasers = 20
Hence, Number of eraser getting by each students = 20 ÷ 6
= 3.33
Thus, Each student get 3 erasers.
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What is the least integer that is a solution to the inequality below?
8 > -2x - 4
4 waiters can serve 250 dishes in 8 days by working 5 hours/day. for how many hours/day would 2 waiters have to work to serve 500 dishes in 20 days?
Answer:
8 hours/day is the answer.
Mrs. A has 76 wonderful seventh graders that she teaches this year. She took a random survey of 20 students and
found that seven students like twizzlers, 12 like jolly ranchers, and one does not eat sweets. pls help meh
Answer:
what kind of a question is this? lol. seems liek u need to subtract those 20 students from 70. im not sure wat ur askin but here. try this.
WHAT IS THE QUESTION??? im confused. welp.
In ΔNOP, p = 56 inches, o = 51 inches and ∠O=28°. Find all possible values of ∠P, to the nearest degree.
The only possible value of ∠P in ΔNOP
∠P ≈ 59°
P must be less than 180 degrees because it is an angle in a triangle. As a result, the value of P to the nearest degree can only be:
∠P ≈ 59°
What is an angle?An angle is a figure in plane geometry that is created by two rays or lines that have a shared endpoint. The Latin word "angulus," which means "corner," is where the term "angle" originates. The shared terminus of two rays is known as the vertex, and the two rays are referred to as sides of an angle. It is not necessary for the angle to be in Euclidean space if it lies in the plane. Angles are referred to as dihedral angles if they are created by the intersection of two planes in a space other than Euclidean. The sign " is used to denote angles.
from the question:
Using the Law of Cosines, which states that the following formula holds for any triangle with sides a, b, and c and opposite angles A, B, and C, we can determine all possible values of P in NOP.
\(c^2 = a^2 + b^2 - 2ab cos(C)\)
Extending this to NOP, we can use the angle and existing side lengths to determine the length of side n:
cos(28°) = o/n
n = o / cos(28°) = 51 / cos(28°) ≈ 59.87 inches
The Law of Cosines can now be used once more to determine the potential values of P. We are aware of:
\(p^2 = n^2 + o^2 - 2no cos(P)\)
Substituting the values we know, we get:
\(56^2 = (59.87)^2 + 51^2 - 2(59.87)(51) cos(P)\)
Simplifying this expression and solving for cos(P), we get:
\(cos(P) = (59.87^2 + 51^2 - 56^2) / (2(59.87)(51))\)
cos(P) ≈ 0.506
Taking the inverse cosine of this value, we get:
P ≈ 59.3° or P ≈ 300.7°
P must, however, be smaller than 180° because it is an angle in a triangle. As a result, the value of P to the nearest degree can only be:
∠P ≈ 59°
Hence, in NOP, P can only have one potential value.
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The only possible value of ∠P in ΔNOP
∠P ≈ 59°
P must be less than 180 degrees because it is an angle in a triangle. As a result, the value of P to the nearest degree can only be:
∠P ≈ 59°
What is an angle?An angle is a figure in plane geometry that is created by two rays or lines that have a shared endpoint. The Latin word "angulus," which means "corner," is where the term "angle" originates. The shared terminus of two rays is known as the vertex, and the two rays are referred to as sides of an angle. It is not necessary for the angle to be in Euclidean space if it lies in the plane. Angles are referred to as dihedral angles if they are created by the intersection of two planes in a space other than Euclidean. The sign " is used to denote angles.
from the question:
Using the Law of Cosines, which states that the following formula holds for any triangle with sides a, b, and c and opposite angles A, B, and C, we can determine all possible values of P in NOP.
\(c^2=a^2+b^2-2abcos(C)\)
Extending this to NOP, we can use the angle and existing side lengths to determine the length of side n:
cos(28°) = o/n
n = o / cos(28°) = 51 / cos(28°) ≈ 59.87 inches
The Law of Cosines can now be used once more to determine the potential values of P. We are aware of:
\(p^2=n^2+o^2-2ncos(P)\)
Substituting the values we know, we get:
\(56^6=(59.87)^2+51^2-2(59.87)(51)cos(P)\)
Simplifying this expression and solving for cos(P), we get:
\(cos(P)=(59.87^2+51^2+-56)/(2(59.87)(51))\)
cos(P) ≈ 0.506
Taking the inverse cosine of this value, we get:
P ≈ 59.3° or P ≈ 300.7°
P must, however, be smaller than 180° because it is an angle in a triangle. As a result, the value of P to the nearest degree can only be:
∠P ≈ 59°
Hence, in NOP, P can only have one potential value.
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PLEASE HELP!!!
The Area of the shaded region of the figure is 48 units. What is n? Show your work.
Answer:
33
Step-by-step explanation: