Answer:
60%
Step-by-step explanation:
What percentage of 30 is 18?
Number or girls/Total number of students×100
= 18/30
= 0.6 × 100
= 60%
What is the value of the missing angle?
Answer:
x=60°
Step-by-step explanation:
The Sum of all sides of a pentagon is 540°
And in the figure there are 2 sides with 150° and 90°
Now we have,
\(90+90+150+150+x=540\\\\480+x=540\\\\x=540-480\\\\x=60\)
assuming I = E(R + r), prove that I/I = R/E + r/E
If we assume that I = E(R + r), then I/I = R/E + r/E.
The inverse of a value of a number is known as the reciprocal of the number. The reciprocal can be found out by replacing the numerator with the denominator and vice versa. For example, reciprocal of a number x will be 1/x and vice versa.
Here, we are given that I = E/(R + r)
Taking reciprocals of both sides we get-
Reciprocal of I will be- 1/I
Reciprocal of E/(R + r) will be- (R + r)/ E
Thus,
1/I = (R + r)/ E
Simplifying the equation further, we get-
1/I = R/E + r/E
Hence, proved
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Peter Morris wants to verify the amount
deposited to his savings account. His new balance is $729.49,
his previous balance was $680.50, interest earned on his
account was $3.25, and withdrawals totaled $222.06. Find the
amount deposited to his savings account.
Answer:324.24??? Not sure just a guess.
Step-by-step explanation:
find the LCM of 34 and 5
What is the value of A when we rewrite 6^x as A^x/4
The value of A when we rewrite 6^x as A^x/4 is 3/2
What is an algebraic expression?An algebraic expression can simply be defined as a mathematical expression that consists of terms, factors, constants, coefficients and variables.
They are also known as expressions made up of arithmetic operations, such as;
AdditionBracketParenthesesDivisionMultiplicationSubtractionFrom the information given, we have that;
The function is given as;
6^x
Here, the coefficient or rather the base is 6
To determine the value of A when ^^x is given as A^x/4
The value of A would be;
6/4 = 3/2
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Can someone help me? I am stuck on this question I would mean the world if u helped me! and tysm for the people who helped me!
1. What is the midpoint of AB?
Answer:
(-4, -1/2)
Step-by-step explanation:
The endpoints of AB are (-5,-4) and (-3,3)
To find the midpoints add the endpoints and divide by 2
(-5+-3)/2, (-4+3)/2
-8/2, -1/2
-4, -1/2
Two of the sides of a right triangle are 8 and 6 units long. How long is the third side? Find all possible answers. Natural lengths, but not all. Three natural numbers, that could be sides of a right triangle, are called Pythagorean triple . The ultimate goal of this set of problems is to find all Pythagorean triples .'
All possible answers are _; _; _; _; _; _; units long
Ps. plz someone solve this
100 brainly points to whoever solves this.
What is the point slope form for (2,0)(4,6)
Answer:
0-y=3/4(x-2)
Step-by-step explanation:
. Find the domain and range of y=(3-x)2
-8.
Domain : ( – ∞ , ∞ ) , {x/x ∈ R }
Range : [ 0 , ∞ ) , { y/y ⩾ 0 }
I hope I helped you^_^
I’m confused, is 1/52 and 52/1 the same?
Answer: No
Step-by-step explanation:
Because 52/1 is just plain 52
But 1/52 is one thing out of 52 of them.
So 52/1 is just the number 52 versus 1/52 is one of fifty-two.
Answer:
Yes, 1/52 is the same as 52/1 because 52/1 is the inversed fraction of 1/52. Inversed fractions is a fraction with the denominator and numerator swapped.
Step-by-step explanation:
Hope this helped and please tell me if I'm incorrect :)
You have averaged a score of 150 in the previous 12 bowling games and just bowled a 156. What score do you have to bowl in the next game to have an average of 152?
Group of answer choices
152
172
Below 150
Higher than 172
150
I need to score 172 in the 14th game to have an average of 152 in 14 games.
What is the weighted average?When the average is not of any individual rather it is an average of two or more groups or sets it is called a weighted average.
To obtain the weighted average we multiply no. of individuals by their averages and sum the next group in the previous procedure and divide them by the total no. of individuals.
The total score of 12 games is (12×150) = 1800.
Again I scored 156 is the 13th game.
Let I score 'x' in the 14th game.
∴ (1800 + 156 + x)/12 + 1 + 1 = 152.
(1800 + 156 + x)/14 = 152.
(1956 + x)/14 = 152.
1956 + x = 2128.
x = 2128 - 1956.
x = 172.
So, I need to score 172 in order to have an average of 152 for 14 games.
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A group of physical fitness devotees works out in the gym every day. The workouts vary from strenuous to moderate to light. When their exercise routine was recorded, the following observation was made: Of the people who work out strenuously on a particular day, 30% will work out strenuously on the next day and 70% will work out moderately. Of the people who work out moderately on a particular day, 50% will work out strenuously and 50% will work out lightly on the next day. Of the people working out lightly on a particular day, 40% will work out strenuously on the next day, 10% moderately, and 50% lightly.
Write a stochastic matrix with columns and rows labeled S, M, and L that describes these transitions.
Suppose that, on a particular Monday, 70% have a strenuous, 20% a moderate, and 10% a light workout. What is the Initial Distribution Matrix?
What percent will have a light workout on Tuesday? (round percent to one decimal places)
What percent will have a strenuous workout on Wednesday? (round percent to one decimal places)
The stochastic matrix with columns and rows labeled S, M, and L that describes the transitions is:
What is the stochastic matrix?| 0.3 0.5 0.4 |
| 0.7 0.5 0.1 |
| 0.0 0.0 0.5 |
The (i, j) entry in this matrix represents the probability of moving from state i to state j.
The Initial Distribution Matrix on Monday is:
| 0.7 |
| 0.2 |
| 0.1 |
This represents the proportion of people who have a strenuous, moderate, and light workout on Monday.
To find the percentage of people who have a light workout on Tuesday, we need to multiply the initial distribution matrix by the stochastic matrix twice:
| 0.3 0.5 0.4 | | 0.7 | | 0.35 |
| 0.7 0.5 0.1 | x | 0.2 | = | 0.32 |
| 0.0 0.0 0.5 | | 0.1 | | 0.33 |
So, 33% of people will have a light workout on Tuesday.
To find the percentage of people who have a strenuous workout on Wednesday, we need to multiply the initial distribution matrix by the stochastic matrix three times:
| 0.3 0.5 0.4 | | 0.7 | | 0.451 |
| 0.7 0.5 0.1 | x | 0.2 | x | 0.296 |
| 0.0 0.0 0.5 | | 0.1 | | 0.253 |
Therefore, 45.1% of people will have a strenuous workout on Wednesday.
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a large plane is able to cruise at 530 miles per hour.
What is the ratio of miles per hour?
Print
Expressions
A time line is a useful way to represent important dates and events throughout history. It's common to divide a historical time line into events that
occurred either BC (to the left of zero) or AD (to the right of zero). The year you're living in right now takes place in AD.
BC AD
0
When performing mathematical operations involving dates, we can think of a historical time line as a number line. On the number line, the years
increase from left to right. If zero represents the origin, the years to the right of zero are considered positive numbers and the years to the left of zero
are considered negative numbers. Using this analogy, here are some events that might appear on a historical number line:
Event
Historical Time Line Number Line
The first ancient games take place in Olympia, Greece, 776 BC
-776
Construction begins on the Great Wall of China
221 BC
-221
World War I begins in central Europe.
AD 1914
1,914 (or 1914)
Use these ideas about time lines and number lines to answer the questions that follow.
Part A
The year in which the US Civil War ended was 25 percent later than the year Christopher Columbus set sail from Spain. If c represents the year
Columbus set sail, we can write the year the Civil War ended as c +0.25c. Rewrite this expression as a single term
B.
Answer:
1.25c
Step-by-step explanation:
Dr. Davis says it would just be 1.25c
. A cocoa blender makes a profit of 30% be selling a super mix cocoa at Kshs.650 for 250 grams tin. He makes a super mix cocoa by blending two varieties of cocoa., A and which cost him Kshs. 1 800 and Kshs.2 400 per kg respectively. B In what proportion the cocoa types A and B mixed? were (3 marks)
Answer:
The cost price of 250 grams of super mix cocoa is Kshs.650/1.3=Kshs.500.
The cost price of 1 kg of super mix cocoa is Kshs.500*4=Kshs.2000.
If x kg of cocoa A is mixed with (1-x) kg of cocoa B, then the cost price of the mixture is Kshs.1800x+Kshs.2400(1-x).
Therefore, Kshs.1800x+Kshs.2400(1-x)=Kshs.2000.
Solving for x, we get x=2/3.
Therefore, the cocoa types A and B are mixed in the proportion 2:1.
Which graph best represents a line with a slope of
?
Answer:
A. y = -2/3 + 3
Step-by-step explanation:
the line intercept the y axis at +3
and the slope is: -2/3
- i used coordinates (3,1) and (6,-1)
Answer:
y = \(\frac{-2}{3}x + 3\)
Step-by-step explanation:
Take any two points
(x₁, y₁) = ( 3 , 1 ) & (x₂ , y₂) = (6 , -1)
Slope = \(\frac{y_{2}-y_{1}}{x_{2}-x_{1}}\\\)
\(=\frac{-1-1}{6-3}\\\\=\frac{-2}{3}\)
m = (-2/3) & (x₁, y₁) = ( 3 , 1 )
y - y₁ = m(x - x₁)
y - 1 = \(\frac{-2}{3}(x - 3)\)
y - 1 = \(\frac{-2}{3}x - 3 *\frac{-2}{3}\)
y - 1 = \(\frac{-2}{3}x + 2\)
y = \(\frac{-2}{3}x + 2 + 1\)
y =\(\frac{-2}{3}x\) + 3
In the equation, the value of a is:
Answer:
Please check if the answer is a = 4 or not
Graph the line with equation y=-x-2
The line with the equation y = -x - 2 will pass through the points (0, -2) and (2, -4) and continue infinitely in both directions.
We have,
To graph the line with the equation y = -x - 2, we can follow these steps:
- Step 1:
Plot two points on the graph.
Select any x-value and substitute it into the equation to find the corresponding y-value.
Repeat this process for a different x-value to find another y-value.
Let's choose x = 0:
y = -(0) - 2
y = -2
So we have the point (0, -2).
Let's choose x = 2:
y = -(2) - 2
y = -4
So we have the point (2, -4).
- Step 2:
Plot the points on a coordinate plane.
Plot the points (0, -2) and (2, -4) on a graph.
Step 3: Draw a line passing through the two plotted points.
Using a straightedge or by hand, draw a line that connects the two points.
Thus,
The line with the equation y = -x - 2 will pass through the points (0, -2) and (2, -4) and continue infinitely in both directions.
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Help please
Condense to a single logarithm is possible
In(6x^9)-In(x^2)
The logarithm expression can be simplified to:
In(6x^9)-In(x^2) =7·ln(6x)
How to write this as a single logarithm?There are some logarithm properties we can use here.
log(a) - log(b) = log(a/b)
log(a^n) = n*log(a)
(these obviously also apply to the natural logarithm)
Now let's look at our expression, it says that:
In(6x^9)-In(x^2)
Using the first rule, we can rewrite this as.
In(6x^9)-In(x^2) = ln(6x^9/x^2)
Now solving the quotient in the argument:
ln(6x^9/x^2) = ln(6x^7) = 7·ln(6x)
That is the expresison simplified.
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Two non-overlapping angles that share a ray making an obtuse angle are ___ The sum of the angles' measures is ___ degrees
Answer:
90 , 40
Step-by-step explanation:
A trapezoid is shown. The lengths of the bases are 4 and 8. The height of the altitude is 4. What is the area of the trapezoid?
Answer:
24
Step-by-step explanation:
Formula
The area of a Trapezoid is given as
A = (b1 + b2)*h/2
Givens
b1 = 8
b2 = 4
h = 4
Solution
Area = (8 + 4)*4/2
Area = 12*4/2
Area = 24
Sodium chlorate crystals are easy to grow in the shape of cubes by allowing a solution of water and sodium chlorate to evaporate slowly. If V is the volume of such a cube with side length x, calculate the derivative when x = 5 mm.
V'(5) = mm3/mm
What does V'(5) mean in this situation?
Answer:
I don't know the answer it is to hard.
Given: ,
bisects ∠AEC.
A horizontal line has points A, E, D. 2 lines extend from point E. One line extends to point B and another extends to point C. A small box represents the angle for C E D.
What statements are true regarding the given statement and diagram?
∠CED is a right angle.
∠CEA is a right angle.
m∠CEA = One-half(m∠CEB)
m∠CEB = m∠BEA
m∠DEB = 135°
m∠AEB = 35°
Answer:
angle ced is a right ange
so the m angels debate =135 m angle aeb =35
so the answer is 135+35 =170
180 is a all side sim
=180-170=10 answer
Answer:
∠CED is a right angle.
∠CEA is a right angle.
m∠CEB = m∠BEA
m∠DEB = 135°
Use the coordinates of the labeled point to find a point-slope equation of the
line.
5
5
(-2,-5) 6.5
>
O A. y- 5 = -2(x - 2)
O B. y + 5 = 2(x + 2)
O C. y + 5 = -2(x + 2)
OD. y- 5 = 2(x - 2)
Answer:
B. \( y + 5 = 2(x + 2) \)
Step-by-step explanation:
Point-slope equation is given as \( y - b = m(x - a) \), where,
(a, b) = (-2, -5)
\( m = slope = \frac{y_2 - y_1}{x_2 - x_1} \)
Using two points on the line (-2, -5) and (0, -1),
Slope (m) = (-1 -(-5))/(0 -(-2)) = 4/2
m = 2
✔️To write the equation in point-slope form, substitute a = -2, b = -5, and m = 2 into \( y - b = m(x - a) \)
Thus:
\( y - (-5) = 2(x - (-2)) \)
\( y + 5 = 2(x + 2) \)
Last week Scott ran 43 miles less than James. Scott ran 5 miles. How many miles did James run?
A. 35
B. 44
C. 38
D. 48
Answer:
D) 48
Step-by-step explanation:
Let s = Scott
Let j - James
s = 5
s + 43 = j Substitute 5 for s
5 + 43 = j
48 = j
There are 26 boys and 20 girls in a class.
The boys and the girls have some counters.
The mean number of counters that the boys have is 28.
The mean number of counters that the girls have is 19.
Work out the mean number of counters the 46 children have.
Computing the total number of counters in the class as 1,108, the mean number of counters that the 46 children have is 24.
What is the mean?The mean refers to the average value.
The average is the quotient of the total value divided by the number of items in the data set.
The number of boys in the class = 26
The number of girls in the class = 20
The total number of boys and girls in the class = 46
The mean number of counters that the boys have = 28
The total number of counters that the boys have = 728 (28 x 26)
The mean number of counters that the girls have =19
The total number of counters that the girls have = 380 (19 x 20)
The total number of counters that the class has = 1,108 (728 + 380)
The average or mean number of counters in the class = 24 (1,108 ÷ 46)
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Factor completely:
3x² (x²+6) - 4(x2+6)
Answer:
(x² + 6)(3x² - 4)
Step-by-step explanation:
factor out (x² + 6)
(x² + 6)(3x² - 4)
When data consist of percentages, ratios, compounded growth rates, or other rates of change, the geometric mean is a useful measure of central tendency. For n data values, the geometric mean, assuming all data values are positive, is as follows. To find the average growth factor over 5 years of an investment in a mutual fund with growth rates of 10.5% the first year, 12.1% the second year, 13.5% the third year, 3.5% the fourth year, and 7.3% the fifth year, take the geometric mean of 1.105, 1.121, 1.135, 1.035, and 1.073. Find the average growth factor of this investment. (Round your answer to four decimal places.)
Answer: 1.09
Step-by-step explanation:
Given the following :
Year__growth rate ___growth factor
1 ______10.5% _____ 100%+10.5%
2______12.1%______ 100%+12. 1%
3______13.5%______ 100%+13.5%
4______3.5%_______ 100%+3.5%
5______7.3%_______ 100%+7.3%
The geometric mean:
(Product of the n data values)^(1/n)
Where n = number of data values
For the data above, the average growth factor :
n = 5
(1.105×1.121×1.135×1.035×1.073)^(1/5)
= (1.561362785497125)^(1/5)
= 1.0932028
= 1.09
Hence, average growth factor = 1.09
Create an example of a situation where there is a negative cash flow.
Answer:
when say your expenses are $400 a month but your income is only $350 a month that is -$50 every month so in that case you aren't getting a positive cash flow (which would be making more money than your expenses) So you must be getting a negative cash flow in which you are losing money and going into debt.
Hope this Helps :)