Answer:
54
Step-by-step explanation:
20% of 15 is 3 so Quentin is 18 years old
If Quentin is one thrid his Aunt's age that means his aunt is three times older.
18 * 3 = 54
So his Aunt is 54 years old
The age of Quentin's aunt is 54 years if the Quentin is one third the age of his aunt if we solve by making the Quentin's Aunt age as variable x.
What is a equation?
An equation is a formula that expresses the equality of variables.
How to determine age of aunt?
let the age of the aunt is x years.
According to the question the age of Quentin is x/3 years.
The age of Quentin's sister is x/3*100/120
=5x/18
We have been given the age of Quentin's sister is 15 years.
So, 5x/18=15
=x=54 years
Hence the age of aunt is 54 years old.
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What is the sum of the coefficients in the expression of 4x^4 - x^3 - 2x^2 + 3 - 4
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Answer:
0
Step-by-step explanation:
The coefficients are the numerical values that are not exponents. Their sum is ...
4 -1 -2 +3 -4 = 0
The tires Mary wants to buy for her car cost $100 per tire. A store is offering the following deal. Buy a tire and get the 4th tire for 75% off! Mary will buy 4 tires using the deal. A sales tax of 8% will be charged after applying the discount. How much money will Mary saveby using the deal instead of paying the full price for all 4 tires?
she saved $162
hope it helps
Production possibilities curve graph
Answer:
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Given FE=23.5, find BD.
Answer:
11.75
Step-by-step explanation:
The required triangle is attached below :
The triangle AFE has it's by the mid segment as BD ;as B is the mid-point of line EA ; and D is the mid-point of line FA ;
HENCE, The Length of the midsegment BD = 1/2FE
Hence, BD =. 1/2 * 23.5
BD = 23.5 / 2 = 11.75
what is the value of f'(6) if the formula is f(x)=-8x-3
Explanation:
Applying the derivative to f gets us
f(x) = -8x - 3
f ' (x) = -8
The fact that f(x) being linear directly means that the derivative is simply the slope value. No matter what we replace x with, the result is always -8.
Answer:
f'(6) = -8
Step-by-step explanation:
f(x)=-8x-3
First find the derivative of the function
f'(x) = -8
This is a constant so when x=6 it will be -8
f'(6) = -8
Convert 37.5% to a fraction. (Reduce your answer to lowest terms.)
Answer:
3/8
Step-by-step explanation:
The value of 37.5% reduced to the lowest terms is 15/40.
What is a fraction?A fraction is written in the form p/q, where q ≠ 0. Fractions are of two types they are proper fractions and improper fractions. Fractions can also be converted into percentages by multiplying them by 100.
We know e can convert percentages into decimals and fractions by dividing the percentage value by hundred.
Given we have to convert 37.5% as a fraction which is,
= 37.5/100.
= 375/1000.
= 75/200.
= 15/40.
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Drag the tiles to the correct boxes to complete the pairs.
Match each subtraction of complex numbers to its simplified difference.
Here are the complex numbers with their simplified differences
(7 -3i) - (6 - 4i) = 1 + i
(4 + 3i) - (6 +2i) = -2 - i
(4 + 5i) - (3 - 4i) = 1 + 9i
(5 + 4i) - (9 + i) = -4 + 3i
A complex number is when a real number and an imaginary number are added together
Complex numbers are usually in the form : a + bi
where a and b are real numbers and i is an imaginary number
An example of a complex number:
in this complex number : (7 -3i)
7 and 3 are real numbers while i is the imaginary number
How to simplify complex numbers
In order to simplify these set of complex numbers, remember that when there is a bracket in mathematics it signifies multiplication.
Here are the set of rules that guide multiplication :
1. When a negative value is multiplied by a positive value, the value becomes a negative value
For example, -1 x 1 = -1
2. When a positive value is multiplied by a positive value, the value remains a positive value
For example, 1 x 1 = 1
3. When a negative value is multiplied by a negative value, the value becomes a negative value
For example,-1 x -1 = 1
Solution to the questions:
Using the above information, the complex numbers can now be simplified
1. (7 -3i) - (6 - 4i)
this above equation becomes :
7 - 3i - 6 + 4i
add like terms together
7 - 6 - 3i + 4i = 1 + i
2. (4 + 3i) - (6 +2i)
this above equation becomes :
4 + 3i - 6 - 2i
add like terms together
4 - 6 +3i - 2i = -2 - i
3. (4 + 5i) - (3 - 4i)
this above equation becomes :
4 + 5i - 3 + 4i
add like terms together
4 - 3 + 5i + 4i = 1 + 9i
4. (5 + 4i) - (9 + i)
this above equation becomes :
5 + 4i -9 -i
add like terms together
5 -9 + 4i - i = -4 + 3i
In order to solve for complex numbers remember that a bracket in mathematics means that a multiplication operation should be carried out. Also, pay cognisance to the rules guiding the multiplication of negative and positive numbers
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Find the volume of a pyramid with a square base, where the side length of the base is 17.6 m and the height of the pyramid is 13.4 m. Round your answer to the nearest tenth of a cubic meter.
Answer:
~1383.5 meters cubed
Step-by-step explanation:
(17.6 x 17.6 x 13.4) ÷ 3 = ~1383.5
Find the missing ? Step by step need it
Answer:
30 degrees
Step-by-step explanation:
Use the Tan formula.
If the triangle on the grid below is translated by using the rule (x, y) right-arrow (x + 5, y minus 2), what will be the coordinates of B prime?
On a coordinate plane, triangle A B C has points (negative 1, 0), (negative 5, 0), (negative 1, 2).
A. (–2, 0)
B. (0, –2)
C. (5, –7)
D. (5, –2)
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Answer:
B. (0, –2)
Step-by-step explanation:
Put the (x, y) values into the given formula.
(x, y) ⇒ (x +5, y -2)
B(-5, 0) ⇒ B'(-5+5, 0-2) = B'(0, -2)
This is a list of the heights ( each nearest cm ) of 12 children
150 134 136 139 131 141
132 134 136 137 150 146
Select the type of the data.PLEASE HELP CHOOSE ONE
Discrete
Continuous
Categorical
Qualitative
Answer:
qualitative
Step-by-step explanation:
bcos it is in quality format
find the value of trigonometric ratio
Answer:
8/17
Step-by-step explanation:
cosC = adjacent/hypotenuse = BC/AC = 8/17
Referring to the scale, 1:50 what is the actual measurement of the wall marked 18 cm on the plan?
Answer:
900 cm
Step-by-step explanation:
1 : 50
We need the first number to be 18 so multiply by 18
1:18 : 50*18
18 cm : 900 cm
Select the next item in the sequence.
10.172,10.983,10.994...
A. 10.972
B. 11.000
C.11.172
D.11.983
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Answer:
B. 11.000
Step-by-step explanation:
The function looks like a reflected and translated exponential function with a horizontal asymptote near y = 11.000. The rate of change is decreasing so fast that the next value is expected to be very near 10.994. The closest one among the answer choices is 11.000.
_____
First differences are 0.811 and 0.011. The latter is about 0.0136 times the former. At that rate of change, we expect the next first difference to be about 0.000149, which would make the next number in sequence be about 10.9941—very little change from 10.994.
Clearly, first differences are not constant, so the function is not linear. Ratios of the numbers are not constant, so this is not an exponential (geometric) sequence. A reflected exponential function of the type described is a good fit.
With only 3 points given, the rule is not at all obvious. The next term could legitimately be anything you like, and a rule could be made that would fit it.
Help please if you know, thanks
Answer:
xsqrt(2)
Step-by-step explanation:
sqrt(a) / sqrt(b) = sqrt(a/b)
sqrt(22x^6) / sqrt(11x^4)
sqrt(22x^6/11x^4)
sqrt(2x^2)
We know sqrt(ab) = sqrt(a) sqrt(b)
sqrt(x^2) sqrt(2)
xsqrt(2)
In the figure above, AABC is an equilateral
triangle and each circle is tangent to the other
two circles. If each circle has diameter 10, what
is the distance h?
(A) 103
(B) 1513
(C) 15+513
(D) 10+1013
(E) 10+5/5
Answer:
B
Step-by-step explanation:
A study is conducted to examine the correlation between Training Time and the Error Rate of employees. If the correlation coefficient of Training Time and Error Rate is -0.76, what is your conclusion?
(The answer is NOT B) HELP Please!!
A Moderate positive correlation
B Strong negative correlation
C No conclusion possible
D No correlation is shown
E Strong positive correlation
Answer:
No conclusion possible
What is the range of the function f(x) = 3x + 2 overthe interval -6 < x < 5?
Answer:
(-16, 17)
Step-by-step explanation:
The range of the function will be (-16, 17)
The range of function f(x) = 3x + 2 overthe interval -6 < x < 5 is (-13,14)
What is Range?The difference between the highest and lowest values.
The given function is f(x) = 3x + 2
f(x) equal tp three times of x plus two.
The given interval is minus six less than x less than five.
-6 < x < 5
Which means the x values are -5, -4, -3, -2, -1, 0, 1, 2,3,4
Plus in the function
f(-5)=-15+2=-13
f(-4)=-10
f(-3)=-9+2=-7
f(-2)=-6+2=-4
f(-1)=-3+2=-1
f(0)=0+2=2
f(1)=3+2=5
f(2)=6+2=8
f(3)=9+2=11
f(4)=12+2=14
Hence the range of function f(x) = 3x + 2 overthe interval -6 < x < 5 is (-13,14)
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What ordered pairs are the solutions of the system of equations shown in the graph below?
The solutions are where the two lines cross over each other.
(0,3) and (4,-5)
Give the domain and range of G={(6.0),(-9,-3),(1,-3)}
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Answer:
domain: {-9, 1, 6}range: {-3, 0}Step-by-step explanation:
The domain is the list of the first numbers of the ordered pairs. If there are any duplicates, the relation is not a function. Here, the first numbers are {6, -9, 1}. Most folks find it convenient to list them in numerical order:
{-9, 1, 6} . . . . domain of G
__
The range is the list of second numbers of the ordered pairs. Only the distinct values are reported. Here, the second numbers are {0, -3, -3}.
{-3, 0} . . . . range of G
square root of v-5=6
[tex] \sqrt{x - 5 = 6}[/tex]
Answer:
I think you mean this :
[tex] \sqrt{x - 5} = 6 \\ = > {( \sqrt{x - 5} })^{2} = {6}^{2} \\ = > x - 5 = 36 \\ = > x = 36 + 5 \\ = > x = 41[/tex]
Or,
Square root of x-5=6 is :
[tex] \sqrt{x - 5} \:=\:\sqrt{6} [/tex]
At a restaurant, two burgers and one fries cost 6. 50. What is the cost of six burgers and three fries
Answer:
19.5
Step-by-step explanation:
let burger be x and fries be y
2x+y = 6.5
6x+3y = 3(2x+y) =3(6.5) =19.5
Kenneth needs $5,000 for university in 5 years. His parents plan to invest some money in an account paying interest at a rate of 7.2% per annum, compounded monthly. How much should they invest now to have $5,000 in 5 years.
The number formed by subtracted 1 from smallest 7-digit number is
Step-by-step explanation:
the number formed by subtracting 1 from the smallest 7 digit number is largest 6 digit number.
(b) Two isosceles triangles PQR and PQS are drawn on opposite sides.
of a common base PQ. If PQR = 66° and PSQ = 109°, calculate
the value of RQS.
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Answer:
101.5°
Step-by-step explanation:
Angle PQS will be the complement of half of angle PSQ, so is ...
∠PQS = 90° -109/2° = 35.5°
Angle RQS is the sum of angles RQP and PQS:
∠RQS = 66° +35.5° = 101.5°
How many different ways can you represent the weight in 1000g?
Please Help! I will give you the brainiest and a lot of points!
a.Use the information given by the graph to determine the truth value of the compound statement. Choose the correct answer below.
b. Write the compound statement's negation. Choose the correct answer below
c. Use the information in the graph to determine the truth value of the negation in part (b). (Is it True or False?)
Answer: TRUE
Step-by-step explanation: THE COMPOUD STATE MEN DETERMEND BY HE GRAPH IS THE SOLUTION AS SAID BY YOU IT IS TRUE BECAUSE THE READINGS ON THE GRAPH SHOW ITS TRUE
Help.. what does Y=
Answer:
The answer is B. 3
Step-by-step explanation:
The right angle points at side C which is the biggest side of a triangle and the smallest side is half of what side C is which is 3
The distribution of sample means uses
to measure how much distance
is expected on average between a sample mean and the population mean.
re
o the standard error of M
none of these
the standard deviation of the sample
the standard deviation of the population
< Previous
Next
Answer:
A: the standard error of the mean
Step-by-step explanation:
The most frequently used measure to determine how much difference there is between population mean and sample mean is by calculating the standard deviation of the sampling distribution of the mean. This standard deviation is also referred to as the sew Station.
show that the line x-y+2=0 and the line joining the points (4,6) and (10,12) are parallel to each other
x-y+2=0
-y= -x-2
y=x+2
In order for the other line to be parallel, the slope has to be the same.
(12-6)/(10-4)= 6/6= 1
Both slopes are the same, meaning it is parallel.
