Answer:
Step-by-step explanation:
it is Payment: Uniform Payment Series: (F/P, i, ∞) = ∞. (A/F, i, ∞) = 0.
The radius of a circle is 7 centimeters. What is the circle's area?
use 3.14 for pi
Answer:
153.86 cm^2
or
154 cm^2 (if you round it up)
Things to keep in mind:
R - Radius
A - Area
Pi = 3.14
Step-by-step explanation:
A = Pi * R^2 = 3.14 * 7^2 = 3.14 * 49 = 153.86 (cm^2)
The solution is :
153.86 cm^2 or 154 cm^2 (if you round it up), is the circle's area.
What is area ?Area is the measure of a region's size on a surface. The area of a plane region or plane area refers to the area of a shape or planar lamina, while surface area refers to the area of an open surface or the boundary of a three-dimensional object.
here, we have,
Things to keep in mind:
R - Radius
A - Area
Pi = 3.14
now, given that,
The radius of a circle is 7 centimeters.
i,e. R = 7
so, we get,
A = Pi * R^2
= 3.14 * 7^2
= 3.14 * 49
= 153.86 (cm^2)
Hence, 153.86 cm^2 or 154 cm^2 (if you round it up), is the circle's area.
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A culture started with 1,000 bacteria. After 4
hours, it grew to 1,100 bacteria. Predict how
many bacteria will be present after 12 hours.
Round your answer to the nearest whole
number.
Answer:
1331 bacteria
Step-by-step explanation:
Number bact = 1000 e^kt
1100 = 1000 e^k4
shows k = .023827545
Now for 12 hours
x = 1000 e^(.023827545 * 12)
= 1331
i realized my answer is wrong.
Translate to an equation and sole: The quotient of h and 26 is -52
Ming paid $1.05 in sales tax on a purchase of $20. What is the sales tax rate
Answer:
5.25%
Step-by-step explanation:
this question is asking '1.05 is what percent of 20'?
you can use the proportion: is/of = percent/100
the 'is' = 1.05
the 'of' = 20
'what percent' = x/100
1.05/20 = x/100
cross-multiply to get:
20x = 105
x = 5.25
Triangle ABC is an isosceles triangle. Angle A is the vertex angle. AB=8x-8 and AC=6x+9 find the length of one of the legs
Answer:
tge length is 14 make me brainliest
Step-by-step explanation:
I did it in a test and hit it correct
1. The proportion, p, of consumers who shop with coupons
is the ratio of the number, C, of consumers who use coupons
to the number, N, of consumers asked. Write an equation
for the proportion of consumers who shop with coupons.
The equation for the proportion, p, of consumers who shop with coupons is: p = C/N where C is the number of consumers who use coupons and N is the total number of consumers asked.
What is equation?An equation is a mathematical statement that indicates the equality of two expressions. It consists of two expressions separated by an equal sign (=). The expression on the left side of the equal sign is equivalent to the expression on the right side. Equations can have one or more variables, which are usually represented by letters such as x, y, or z. The goal in solving an equation is to determine the value(s) of the variable(s) that make the equation true. This involves manipulating the expressions on both sides of the equal sign using algebraic operations such as addition, subtraction, multiplication, and division, to isolate the variable on one side of the equation. Equations are used in many areas of mathematics and science to represent relationships between variables and to solve problems. They are also used in various fields such as engineering, physics, and economics to model real-world situations and make predictions based on mathematical analysis.
Here,
This equation represents the ratio of the number of consumers who use coupons to the total number of consumers. It is commonly used in statistics and market research to measure the prevalence of a certain behavior or preference among a population. By calculating the proportion of consumers who use coupons, businesses can make informed decisions about their pricing strategies, promotions, and advertising campaigns.
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I need some Help please
Answer:
a) f(2) = 4
b) g(3) = 3
c) g(1/3) = -1
d) f(3) = 1/2
e) g(-2) = 2
f) f(π) = 3
Step-by-step explanation:
We are given:
f={(2,4),(-4,3),(3,1/2),(π,3)} and g={(3,3),(-2,2),(1/3,-1)}
We need to find the following values of f and g
a) f(2)
f(2) means when x=2, we need to find the value of y.
Looking at the given f={(2,4),(-4,3),(3,1/2),(π,3)} , when x =2 then y=4
So, f(2) = 4
b) g(3)
g(3) means when x=3, we need to find the value of y.
Looking at the given g={(3,3),(-2,2),(1/3,-1)}, when x =3 then y=3
So, g(3) = 3
c) g(1/3)
g(1/3) means when x=1/3, we need to find the value of y.
Looking at the given g={(3,3),(-2,2),(1/3,-1)}, when x =1/3 then y=-1
So, g(3) = -1
d) f(3)
f(3) means when x=3, we need to find the value of y.
Looking at the given f={(2,4),(-4,3),(3,1/2),(π,3)} , when x =3 then y=1/2
So, f(3) = 1/2
e) g(-2)
g(-2) means when x=-2, we need to find the value of y.
Looking at the given g={(3,3),(-2,2),(1/3,-1)}, when x =-2 then y=2
So, g(-2) = 2
f) f(π)
f(π) means when x=π, we need to find the value of y.
Looking at the given f={(2,4),(-4,3),(3,1/2),(π,3)} , when x =π then y=3
So, f(π) = 3
A rectangle is 3m long and 2050 m wide find it perimeter
Work out the percentage change to 2 decimal places when a price of £12 is increased to £15.99. Work out the percentage change to 2 decimal places when a price of £12 is increased to £15.99.
Answer:
\(\%Increase = 33.25\%\)
Step-by-step explanation:
Given
Initial = 12
Final = 15.99
Required
Determine the percentage increment
This is calculated as thus:
\(\%Increase = \frac{Final - Initial}{Initial} * 100\%\)
Substitute values for Initial and Final
\(\%Increase = \frac{15.99 - 12}{12} * 100\%\)
\(\%Increase = \frac{3.99}{12} * 100\%\)
\(\%Increase = \frac{3.99* 100\%}{12}\)
\(\%Increase = \frac{399\%}{12}\)
\(\%Increase = 33.25\%\)
Hence, the percentage increment is 33.25%
pls help find the amount at the end of 6 hours
Answer:
A. 7,348
Step-by-step explanation:
P = le^kt
intitial population = 500
time = 4 hrs
end population = 3,000
So we have all these variables and we need to solve for what the end population will be if we change the time to 6 hours. First, we need to find the rate of the growth(k) so we can plug it back in. The given formula shows a exponencial growth formula. (A = Pe^rt) A is end amount, P is start amount, e is a constant that you can probably find on your graphing calculator, r is the rate, and t is time.
A = Pe^rt
3,000 = 500e^r4
now we can solve for r
divide both sides by 500
6 = e^r4
now because the variable is in the exponent, we have to use a log
\(log_{e}(6) = 4r\)
ln(6) = 4r
we can plug the log into a calculator to get
1.79 = 4r
divide both sides by 4
r = .448
now lets plug it back in
A = 500e^(.448)(6 hrs)
A = 7351.12
This is closest to answer A. 7,348
The sum of two integers is -186. The larger integer is 14 less than
three times the smaller number. Find the two integers.
The values of the two integers are -43 and -143.
What are the values of the two integers?Let the value of the smaller integer be "x".
Smaller integer = xLarger integer = 3x - 14Sum of the integers = -186Since, the sum of two integers is -186.
Smaller integer + Larger integer = -186
x + ( 3x - 14 ) = -186
Solve for x
x + 3x - 14 = -186
4x - 14 = -186
4x = -186 + 14
4x = -172
x = -172/4
x = -43
Hence;
The smaller integer = x = -43
The largere integer = 3x - 14 = 3(-43) - 14 = -143.
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Kim, Eduardo, Katrina, Simone, Sergio, Jim, Maria, and Larry have all been invited to a dinner party. They arrive randomly and each person arrives at a different time. In how many ways can Kim arrive first and Larry last?
Answer:
# of ways to succeed:: 3! = 6
# of possible arrangements:: 5!
-----
Ans: 6/5! = 0.05
-1/2x<18 pls help figure
Answer:
-36
Step-by-step explanation:
-1/2x<18
multiply each term by LCM=2
-1/2x×2<18×2
the 2on the left hand side will cancel each other leaving
-x <36
divide both sides by -1
-x/-1>36/-1
(note the equality sign changes because following the laws when you divide by a negative number the sign will change
X>-36
Answer:
Step-by-step explanation:
x>-36 is the anwser brainlist whould be aprecited and verifed
Nicole is trying to make extra money on her summer vacation from school. She works two different jobs, earning $19 per hour lifeguarding and $8 per hour landscaping, How much money would Nicole earn in a week in which she worked 2 hours lifeguarding and 4 hours landscaping? How much money would Nicole earn in a week in which she worked 2 hours lifeguarding and y hours landscaping?
Answer:
This would mean Makayla worked a total of 15 hours and made $264. Which meets her requirements.
Step-by-step explanation:
The total cost (in dollars) of producing x college textbooks is .
(a) What are the fixed costs?
(b) What is the marginal cost per book?
(c) What is the total cost of producing books? books?
(d) What is the average cost when books are produced? when books are produced?
An urn contains 4 black and 5 white balls. A ball is drawn at random and then replaced, and then a second ball is drawn. Find the probability that the first is black and the second iswhite.
Answer:
\(Probability = 0.2470\)
Step-by-step explanation:
Given
\(Black = 4\)
\(White = 5\)
\(Total = 9\) i.e. 5 + 4
Required
Determine \(P(Black\ and\ White)\)
In probability;
\(P(A\ and\ B) = P(A) * P(B)\)
So:
\(P(Black\ and\ White) = P(Black) * P(White)\)
i.e. multiply the probability of selecting black by that of selecting white
\(P(Black\ and\ White) = \frac{n(Black)}{Total} * \frac{n(White)}{Total}\)
\(P(Black\ and\ White) = \frac{4}{9} * \frac{5}{9}\)
\(Probability = \frac{20}{81}\)
\(Probability = 0.2470\)
Felipe the trainer has two solo workout plans that he offers his clients: Plan A and Plan B. Each client does either one or the other (not both). On Monday there were 6 clients who did Plan A and 5 who did Plan B. On Tuesday there were 2 clients who did Plan A and 3 who did Plan B. Felipe trained his Monday clients for a total of 7 hours and his Tuesday clients for a total of 3 hours. How long does each of the workout plans last?
Plan A lasts for 2/7 hours or approximately 17.14 minutes, and Plan B lasts for 9/7 hours or approximately 1 hour and 17.14 minutes.
What is an equation example?In algebra, the definition of an equation in its simplest form is a mathematical statement that shows that two mathematical expressions are equal. For example, 3x 5 = 14 is an equation where 3x 5 and 14 are two expressions separated by an equal sign.
Let's say plan A takes x hours and plan B takes y hours.
Based on the given data, we can create two equations:
Monday: 6x + 5y = 7
Tuesday: 2x + 3y = 3
We can solve this system of equations by elimination or substitution.
Eliminating, we can multiply the second equation by two and subtract it from the first equation:
(6x + 5 y) - 2 (2x + 3y) = 7 - 2 (3)
Simplifying this, we get:
2x - y = 1
Using substitution, we can solve an equation in one variable and replace it with another equation:
From the first equation we can solve for x:
6x + 5y = 7
6x = 7-5 years
x = (7-5 years) / 6
Substituting this into the second equation, we get:
2 ((7-5 years) / 6) + 3 y = 3
Simplifying this, we get:
7 y = 9
y = 9/7
Now that we know y, we can substitute it back into both equations to solve for x:
6 x + 5 (9/7) = 7
Simplifying this, we get:
x = 2/7
Therefore, Plan A takes 2/7 hours, or approximately 17.14 minutes, and Plan B takes 9/7 hours, or approximately 1 hour and 17.14 minutes.
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95°
60°
29
o
X =
Plzzzz I need this
Answer:
x=95
Step-by-step explanation:
They are vertical angles
I need help with this!
The length AC in the kite is 8.7 cm.
How to find the side AC in the kite?A kite is a quadrilateral that has two pairs of consecutive equal sides and
perpendicular diagonals. Therefore, let's find the length AC in the kite.
Hence, using Pythagoras's theorem, let's find CE.
Therefore,
7² - 4² = CE²
CE = √49 - 16
CE = √33
CE = √33
Let's find AE as follows:
5²- 4² = AE²
AE = √25 - 16
AE = √9
AE = 3 units
Therefore,
AC = √33 + 3
AC = 5.74456264654 + 3
AC = 8.74456264654
AC = 8.7 units
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In a survey 18 out of 50 people say their favorite type of movie is an action movie write the value as a percent
Answer:
The percentage of 18 people out of 50 is 36 %
Step-by-step explanation:
The percentage refers to the per hundred or hundredths and is ended with the symbol %. By dividing two amounts, ratios and percentages are both used to compare the two amounts.
The formula for finding the percentage is to divide the value by the total value and then multiply the value by 100.percentage = ( given value / total value ) x 100so,
The given value is 18 people.The total value is 50 people.percentage = ( 18 / 50 ) x 100 = ( 0.36 ) X 100 = 36 %Therefore the percentage of 18 people out of 50 people is 36 %.
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The points A, B and C have position vectors a, b, c, referred to an origin O. i. Given that the point X lies on AB produced so that AB : BX = 2 : 1, find x, the position vector of X, in terms of a and b. ii. If Y lies on BC, between B and C so that BY : Y C = 1 : 3, find y, the position vector of Y, in terms of a and b iii. Given that Z is the midpoint of AC, Calculate the ratio XY : Y Z.
i. The position vector of X is 2b - a.
ii. The position vector of Y is (3b + c)/4.
iii. The ratio XY : Y Z is \(|(2b - a) - ((3b + c)/4)|/|((3b + c)/4) - (a + c)/2|\). Simplifying this expression will give us the final ratio.
i. To find the position vector x of point X, we can use the concept of vector addition. Since AB : BX = 2 : 1, we can express AB as a vector from A to B, which is given by (b - a). To find BX, we can use the fact that BX is twice as long as AB, so BX = 2 * (b - a). Adding this to the vector AB will give us the position vector of X: x = a + 2 * (b - a) = 2b - a.
ii. Similar to the previous part, we can express BC as a vector from B to C, which is given by (c - b). Since BY : YC = 1 : 3, we can find BY by dividing the vector BC into four equal parts and taking one part, so BY = (1/4) * (c - b). Adding this to the vector BY will give us the position vector of Y: y = b + (1/4) * (c - b) = (3b + c)/4.
iii. Z is the midpoint of AC, so we can find Z by taking the average of the vectors a and c: z = (a + c)/2. The ratio XY : YZ can be calculated by finding the lengths of the vectors XY and YZ and taking their ratio. Since XY = |x - y| and YZ = |y - z|, we have XY : YZ = |x - y|/|y - z|. Plugging in the values of x, y, and z we found earlier, we get XY : YZ =\(|(2b - a) - ((3b + c)/4)|/|((3b + c)/4) - (a + c)/2|\).
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SOLVE FOR X 3X +20, 2X +24
Answer:
x=4
Step-by-step explanation:
If 3x + 20 = 2x + 24, then we get the answer as x = 4.
What is Linear Equation?Linear equations are kind of equations which involve expressions including on left and right hand side connected with '=' sign. The expressions involve one or more variables and constants. The highest degree of variable in a linear equation will be equal to 1.
If the highest degree of the variable is 2, then it is quadratic equation.
We have the expression here,
3x + 20 = 2x + 24
Subtracting 2x from both sides, we get,.
3x + 20 - 2x = 2x + 24 - 2x
x + 20 = 24
Subtracting 20 from both sides,
x + 20 - 20 = 24 - 20
x = 4
Hence the value of x is 4 when 3x + 20 = 2x + 24.
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Help thank you………………
Answer:
it is too easy I will answer it soon.
If 7 gallons of paint are used to paint 4 classrooms at Cascade Middle
School, then how many gallons of paint would be needed to pain 16
classrooms? Please enter the number value only in the blank.
gallons
Answer: 28 gallons of paint needed to paint 16 classrooms.
Step-by-step explanation:
As 7 gallons Paint 4 classrooms so if we need to paint 16 classrooms which four times 4 classrooms so 7*4=28 gallons will be needed to paint 16 classrooms
Can someone reply ASAP pls!!!!
Answer:
the answer is 28
Step-by-step explanation:
the right angle=90
90-62=28
Please gimme the variables to define the sytem and 2 system of equations
Answer:
\(8.5x+4y=99.5,\ x+y=17\)
Step-by-step explanation:
\(\mathrm{System\ of\ equations:}\\8.5x+4y=99.5\\x+y=17\\\mathrm{where,}\ x\ \mathrm{is\ the\ number\ of\ popcorns\ and\ }y\mathrm{\is\ the\ number\ of\ candies}\)
Please help me. I dont understand how to do this
Answer: D
Step-by-step explanation: Not sure why it has 5/8 or 7/16
But we can think of this line in 4ths. 4/4 would equal a whole. Or 1 in this case.
Point could be 1/4 since it's near zero but not near 1. Point D can be 3/4 since it's very close to 1 or a whole.
As for the other 2 points I'm not sure.
Sorry if it was not much help, this is the best I can come up with .
You pick 7 digits (0-9) at random without replacement, and write them in the order picked. What is the probability that you have written the first 7 digits of your phone number? Assume there are no repeats of digits in your phone number. Give your answer as a fraction.
The probability of writing the first 7 digits of your phone number is 1/604,800.
Given data ,
To determine the probability of writing the first 7 digits of your phone number, we need to consider the total number of possible outcomes and the favorable outcomes.
Total number of possible outcomes:
When picking 7 digits without replacement from the set of 10 digits (0-9), the total number of possible outcomes is given by 10P7 (permutations of 10 objects taken 7 at a time):
10P7 = 10! / (10 - 7)! = 10! / 3! = 10 * 9 * 8 * 7 * 6 * 5 * 4 = 604,800.
Favorable outcomes:
To have written the first 7 digits of your phone number, you need to pick those specific digits in the correct order. Since the phone number has no repeated digits, there is only one specific order that satisfies this condition.
Therefore, the number of favorable outcomes is 1.
Probability:
The probability is given by the ratio of favorable outcomes to total possible outcomes:
Probability = Favorable outcomes / Total possible outcomes
= 1 / 604,800.
Hence, the probability is 1/604,800.
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amy is scuba diving at a position 55.15 feet below sea level. she ascends 1.5 feet each minute for 15 minutes. what is amys position compared to the sea level after 15 minutes
Answer:
32.65 feet below sea level
Step-by-step explanation:
1.5x15=22.5
55.15-22.5=32.65
hope that helps
Write the sentence as an equation.
106 more than the quantity 68 times y is the same as 36 decreased by y
Answer: 68y+106=36-y