Answer:
A = [- 2Bl + U^2 +/- √((2BL - U^2)^2 - 4B^2L^2) ] / 2L
Step-by-step explanation:
L = U^2A / (A + B)^2
U^2 A = L(A^2 + 2AB + B^2)
U^2 A = LA^2 + 2ABL + B^2L
LA^2 + 2ABL - U^2A + B^2 L = 0
LA^2 + (2BL - U^2)A + B^2L = 0
Using the quadratic formula
A = [- (2BL - U^2) +/- √[(2BL - U^2)^2 - 4*L*B^2L] / 2L
A = [- 2BL + U^2 +/- √[(2BL - U^2)^2 - 4B^2L^2) ] / 2L
What does the b value represent? in Exponential Functions
A. Initial amount
B. Rate of growth/decay
C. Independent variable
D. Dependent variable
Complete the steps to find the area of the trapezoid.
Area of rectangle = v square units
Area of triangle 1 = L M square units
Area of triangle 2 = square units
Area of triangle 3 = square units
Area of trapezoid = square units
Answer:
256
24
16
96
120
Step-by-step explanation:
The area of the trapezoid is 256, 24, 16, 96, and 120.
What is surface area? The area is the sum of the areas of all its faces.The areas of the base, top, and lateral surfaces i.e all sides of the object. It is measured using different area formulas and measured in square units and then adding all the areas. The area of a solid object is a measure of the total area that the object covers.A Rectangle is a four sided-polygon, having all of the internal angles equal to ninety degrees. the two aspects at every nook or vertex, meet at right angles. the alternative aspects of the rectangle are identical in duration which makes it specific from a rectangular.Area= Lenght x wide
Perimeter= 2(lenght+wide)
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Select the property that allows m + 0 to be written as m.
commutative - addition
distributive
associative - multiplication
symmetric
commutative - multiplication
associative - addition
identity - addition
Answer:
identity - addition
Step-by-step explanation:
Properties of Numbers
Addition
Closure:
If a R and b R, then a + b is a unique element of R.
Commutative:
a + b = b + a.
Associative:
a + (b + c) = (a + b) + c.
Identity:
a + 0 = a.
Additive Inverse:
a + (-a) = 0.
Answer:
identity - addition
Step-by-step explanation:
if you ate 5 out of the 20 slices of pizza , how many slices of pizza would you eat if there are 120 slices of pizza?
Answer:
30 slices
Step-by-step explanation:
Make a proportion
You ate 5 out 20 slices, and x out of 120 slices
5/20=x/120
Multiply both sides by 120 to get x by itself
120(5/20)=(x/120)120
The 120s on the right will cancel out, and we are left with
30=x
So, you would eat 30 slices of pizza out of 120 slices
There are 8 green, 10 purple, 6 red and 16 blue markers in a box. A marker is chosen,replaced and then another marker is chosen. Find the probability that neither marker is red.
The probability that neither marker chosen from the box is red is 72.25%
Explanation:The probability that neither marker chosen is red can be calculated by finding the probability of not picking a red marker twice. There are a total of 40 markers (8 green, 10 purple, 6 red, and 16 blue). Therefore, the probability of not picking a red marker on the first try is 34/40 or 0.85 (since there are 34 non-red markers).
Because the marker is replaced, the conditions remain the same for the second draw. Hence, the probability of also not picking a red marker in the second draw remains at 0.85.
As these are two independent events, the total probability of neither marker being red is found by multiplying the probabilities of the individual events. Hence, 0.85 * 0.85 = 0.7225. Hence the probability that neither marker is red is 0.7225 or 72.25%.
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To find the probability that neither marker is red, calculate the probability of selecting a non-red marker on each draw and multiply the probabilities together.
Explanation:To find the probability that neither marker is red, we need to calculate the probability of selecting a non-red marker on each draw.
The total number of markers in the box is 8 (green) + 10 (purple) + 6 (red) + 16 (blue) = 40.
The probability of selecting a non-red marker on the first draw is (8 + 10 + 16)/40 = 34/40 = 17/20.
Since the marker is replaced back in the box, the probability of selecting a non-red marker on the second draw is also 17/20.
The probability that neither marker is red is the product of the individual probabilities: (17/20) * (17/20) = 289/400.
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I want help ,i want an answer
;(
Answer:
9ft 39in
12×3=36
39-36=3
answer is 12ft 3in
Answer to #11: 12 ft 3 in
Answer to #12: 4 lb 9 oz
Answer to #13: 13 qt 1 pt
Answer to #20: 6 yd 2 ft 3 in
Answer to #21: 8 weeks 2 days 8 hours 44 min
Please give me brainliest, that was super hard
Write the following finite decimals as fractions (you do not need to reduce to lowest terms).
1, 1.4, 1.41, 1.414, 1.4142, 1.41421
Answer:
To make any decimal a fraction, you just add a denominator that has one more digit. Ex: .5 has 1 digit. So add 1 zero, and you get 10 as the denominator.
1, 14/10, 141/100, 1414/1000, 14142/10000, 141421/100000
The given decimals can be converted to fractions based on the decimal place values. Therefore, 1 converts to 1, 1.4 to 14/10, 1.41 to 141/100, 1.414 to 1414/1000, 1.4142 to 14142/10000, and 1.41421 to 141421/100000.
Explanation:The numbers given can be written as fractions by considering the place value of the digits after the decimal point. Here is the conversion:
1 can be written as 1/1 or just 1 as there is no decimal part.1.4 can be written as 14/10 because 4 is in the tenths place.1.41 is 141/100 as 1 is in the hundredth place.1.414 can be written as 1414/1000 since 4 is in the thousandths place.1.4142 is 14142/10000 as 2 is in the ten-thousandths place.1.41421 can be written as 141421/100000 because 1 is in the hundred-thousandths place.Learn more about Decimal to Fraction Conversion here:https://brainly.com/question/31738948
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WILL MARK BRAINLIEST! help pleaseee
The manager of a local cable company has hired an advertising agency to find out which is the most popular cartoon channel on cable. Which population should the agency sample to get the most reliable information?
I know I’m two years late, but for those in the future…
~
↓answer choices↓
A.) Cable subscribers.
B.) Employees of the cable company.
C.) Adults listed in the local telephone directory.
D.) Employees of the advertising agency.
~
The correct answer is:
A.) Cable subsricbers.
~
olivia purchased a car worth $18,000 in the year 2001. it loses its value by 6% per year. what is the value of the car in 2004
Answer:
The answer is $14,765 because six percent of 18000 is One thousand eighty, and when it is multiplied by three(3 years) it becomes 3240 dollars. So you would just find the difference after that.
Step-by-step explanation:
Find the mean, median, and mode of 3, 5, 1, 5, 1, 1, 2, 3, 15.
Answer:
Mean: 4
Median: 3
Mode: 1
Step-by-step explanation: For the mean, you have to add all the numbers and divide it by the amount of numbers there are to find the average (mean). For the median, you have to order the numbers from least to greatest and since there are 9 numbers and 9 is an odd number, you have to see which number is in the middle, 3 was in the middle for this problem. The mode is which number repeats the most, which was 1.
Answer:
Mean = 4, Median = 3, Mode = 1
Step-by-step explanation:
The mean is also the average. To find it you add all the numbers up and divide that by the # of numbers given.
[tex]\frac{3+5+1+5+1+1+2+3+1+5}{7} =\frac{28}{7}=4[/tex]
Median is the middle number when all the numbers are written out numerically including the doubles
1 1 1 2 3 3 5 5 15
Mode is the number that appears the most
in this case it is 1
Lucia and Marcus are playing a board game. They roll 2 dice (number cubes) to see who goes first. The person who rolls the highest sum gets to go first. If there is a tie, they each roll the dice again. Lucia went first and she rolled a 4 and a 1. Find the probability that Marcus will not get to go immediately after he rolls the dice. Show all of your work below. Express your answer as a fraction in simplest form, a decimal and a percent
Answer:
5/18, 0.278, 27.8%
Step-by-step explanation:
In this problem, we basically want to find the probability that Marcus will have a total sum of the 2 dices less than Lucia.
In her throw, Lucia gets a 4 and a 1, so she gets a total sum of 5.
Therefore, we want to find the probability that Marcus will get 5 or less.
The possible combinations that can be obtained when throwing 2 dices are 36 (6 x 6).
Of all these 36 combinations, those that gives a sum of 5 or less are:
1 +1 = 2
1 + 2 = 3
2 + 1 = 3
1 +3 = 4
3 + 1 = 4
1 + 4 = 5
4 + 1 = 5
2 + 2 = 4
2 + 3 = 5
3 + 2 = 5
So, a total of 10 combinations.
Since the probability of an event is:
[tex]p(A)=\frac{s}{n}[/tex]
where
s is the number of successfull outcomes
n is the number of total possible outcomes
Here we have
s = 10
n = 36
Therefore the probability here is
[tex]p=\frac{10}{36}=\frac{5}{18}=0.278 = 27.8\%[/tex]
Figure ABCD is a trapezoid. Find the value of x
The locus of points idea allows you to define geometric objects just by determining whether or not two distances are equal.
Answer:
True
Step-by-step explanation:
Final answer:
The statement is True: the locus of points concept is used in geometry to define shapes based on the equality of distances, such as an equidistant curve from a line, or a circle at a fixed distance from a point.
Explanation:
The statement "The locus of points idea allows you to define geometric objects just by determining whether or not two distances are equal" is True. The locus of points is a concept in geometry that represents a set of points that satisfy certain conditions. For instance, the locus of points at a given distance from a straight line is known as an equidistant curve, and when this distance is from a point, it forms a circle. Euclidean geometry often assumes that distances are consistent and measurable, idealizing the real world where we use rules and compasses to define distances and constructs. Concepts like parallelism and measurement systems, as found in axioms, help to build an understanding of geometric relations on lines. Moreover, the validity of geometric propositions can be questioned in real-world applications as geometry serves as an abstraction of physical space.
By visual inspection, determine the best-fitting regression
model for the data plot below.
Given:
Given that the graph of the regression model.
We need to determine the type of the best - fitting regression model.
Model of the graph:
From the graph, it is obvious that the points in the graph does not follows a straight line and thus the graph is not a linear model.
Also, from the graph, we can see that the points in the graph follows a curve pattern.
This curve pattern in the graph indicates that the graph follows an exponential curve.
Therefore, the best - fitting regression model for the given data plot is exponential model.
Hence, Option C is the correct answer.
Look at the figure. Find the length of JP.
A.) 8
B.) 2
C.) 4
D.) 6
By using the provided scale factor of 2, we multiply the side length of the first square by 2 to find that the length of JP is 8 inches.
Explanation:To find the length of JP, we must consider the information given about the dimensions of the larger square. Since the problem states that the dimensions of the larger square are twice that of the first square, we know there is a scale factor of 2 involved in the sizing of the squares. Thus, if the side length of the first square is 4 inches, the side length of the larger square would be 4 inches × 2 = 8 inches.
Solve using perfect square factoring patterns. y2 + 16y + 64 = 0 {8} {0, –1} {–8} {8, –8}
Answer:
y^2 + 16y + 64 = 0
(y + 8)(y+8) = 0
y + 8 = 0
y = -8
y + 8 = 0
y = -8
Step-by-step explanation:
How do you do congruent angles
Answer:
Angles are congruent if they have the same angle measure in degrees.
[ 2,-3,4,-1] - [-2,7,11,0]=[a,b,c,d]
Answer:
[4, -10, -7, -1] = [a, b, c, d]
Step-by-step explanation:
Operations of addition and subtraction on lists are generally performed term by term.
[2-(-2), -3-7, 4-11, -1-0] = [a, b, c, d]
[4, -10, -7, -1] = [a, b, c, d]
Monday Night Football has been thrilling fans and topping the television ratings since 1969. As of the 1993 season, the San Francisco 49ers had appeared on Monday Night Football 35 times. The Miami Dolphins had appeared the most times, with 11 more appearances than the 49ers. How many times had the Dolphins appeared?
Answer:
The answer is 46. 35+11=46
Hope i could help! :D
Step-by-step explanation:
By the 1993 season, the Miami Dolphins had appeared on Monday Night Football 46 times.
Explanation:To solve this question, we are given that the San Francisco 49ers had appeared on Monday Night Football 35 times by the 1993 season. We are also informed that the Miami Dolphins had made 11 more appearances than the 49ers. Therefore, to find the total number of times that the Miami Dolphins had appeared, we simply need to add 11 to the 49ers' appearances.
So, 35 (49ers' appearances) + 11 (additional Dolphins' appearances) = 46.
This means that by the 1993 season, the Miami Dolphins had appeared on Monday Night Football a total of 46 times.
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Need this one please.
Answer:
1/1000
Step-by-step explanation:
10^2 is 100. 10^5 is 100000. 100/100000 simplified is 1/1000.
100000 divided by 100 is 1000 and 100 divided by 100 is 1. So thats why its 1/1000.
Steps to solve:
10^2/10^5
~Use exponent rule (x^a/x^b = x^a-b)
10^2-5
~Simplify
10^-3
~Simplify
1/1000
Best of Luck!
What is the range of the following data set?
56, 78, 124, 34, 67, 91, 20
Answer:
104
Step-by-step explanation:
Range is the max value - the min
124 - 20 = 104
Leonora is factoring a trinomial. The factors of the trinomial are shown on the model.
An algebra tile configuration. 7 tiles are in the Factor 1 spot: 1 is labeled + x and 6 are labeled negative. 3 tiles are in the Factor 2 spot: 1 is labeled + x and 2 are labeled +. 0 tiles are in the Product spot.
Which trinomial did she factor?
A.x2 + 4x – 12
B.x2 + 2x – 6
C.x2 – 8x – 6
D.x2 – 4x – 12
Answer:
D
Step-by-step explanation: just trust me
The trinomial Leonora factored is x²+2x-6. Therefore, option B is the correct answer.
What are factors of polynomial?The factors are the polynomials which are multiplied to produce the original polynomial.
From the given figure (see attachment),
Here, x×x+x+x-1-1-1-1-1-1
x²+2x-6
Therefore, option B is the correct answer.
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How do I tell if these are natural numbers, whole numbers, integers, or rational numbers? ( Photo for reference)
Step-by-step explanation:
1. divide -12 by -5
you get 2.4 this is a rational number
2. add 3/7 and -3/8 you get a long decimal so it's irrational
Hannah can type 450
words in 6 minutes.
How many words per
minute can she type?
Answer:
75
Step-by-step explanation:
That means she type 450/6 minutes. Take 450 and divide it by 6.
450/6 = 75
A population of 110,000 grows 3% per years 15 years. How much will the population. How much will the population be after 15 years? Terms of x
Answer:
The population be after 15 years is 171376.
Step-by-step explanation:
Given : A population of 110,000 grows 3% per years 15 years.
To find : How much will the population be after 15 years?
Solution :
Exponential growth population model is given by,
[tex]P(t)=P_o(1+r)^t[/tex]
Where,
P(t) is the population at time (t)
[tex]P_o=110,000[/tex] is the initial value of the population
r=3%=0.03 is the annual rate of growth
t=15 is the time in years.
Substitute the value,
[tex]P(t)=110000(1+0.03)^{15}[/tex]
[tex]P(t)=110000(1.03)^{15}[/tex]
[tex]P(t)=110000\times 1.5579[/tex]
[tex]P(t)=171376.41[/tex]
Therefore, the population be after 15 years is 171376.
Final answer:
The future population after 15 years of 3% annual growth starting with a population of 110,000 is calculated using the exponential growth formula, resulting in approximately 171,380 people.
Explanation:
To calculate the future population given a current population, growth rate, and number of years, you can use the formula for exponential growth:
P(t) = P0 ×[tex](1 + r)^{t}[/tex]
Where:
P(t) is the population after t years.
P0 is the initial population.
r is the annual growth rate (expressed as a decimal).
t is the time in years.
In this case, the initial population (P0) is 110,000, the growth rate (r) is 3% or 0.03, and the time (t) is 15 years.
Applying these values to the formula:
P(15) = 110,000 × (1 + 0.03)¹⁵
Now we compute the amount (rounded to the nearest whole number):
P(15) = 110,000 × 1.03¹⁵
P(15) ≈ 110,000 × 1.558
P(15) ≈ 171,380
Therefore, the population after 15 years will be approximately 171,380 people.
what are the next two numbers in the pattern 8, 18, 38, 78
Answer:
158 & 318
Step-by-step explanation:
8+10=18
18+20=38
38+40=78
78+80=158
5x2=10
10x2=20
20x2=40
40x2=80
Answer:
158, 318
Step-by-step explanation:
If a rational exponent represents the cube root of x^m, where m is a positive integer, how does the rational exponent change as m increases?
The rational exponent ______ as m increases.
a. increases
b. decreases
Answer:
Option B
Increases
Step-by-step explanation:
to solve this problem, let us plug in figures to replace the variables in the equation.
Let y be equals to the rational exponent which represents the cube root of x^m,
The equation is given as y =[tex]\sqrt[3]{x^{m}}[/tex]
let x= 3
and m =, 3, 4, and 5
when m = 3, we have [tex]y =\sqrt[3]{3^{3}} =3[/tex]
when m = 4, we have [tex]y =\sqrt[3]{3^{4}} =4.33[/tex]
when m = 5, we have [tex]y =\sqrt[3]{3^{5}} =6.24[/tex]
As we can see, the values of y are increasing. Hence, we can say that the value of the rational exponent increases as y increases
Final answer:
As the positive integer m increases in the rational exponent expression for the cube root of [tex]x^m[/tex], the rational exponent itself increases. This is because the base x is being raised to a higher power, exemplified by [tex]x^{2/3[/tex] compared to [tex]x^{3/3[/tex], showing an increase in expression value.
Explanation:
If a rational exponent represents the cube root of [tex]x^m[/tex], where m is a positive integer, the form used to represent this is [tex]x^{m/3[/tex]. As m increases, the value of the expression increases because the base (x) is being raised to a higher power. Therefore, the correct answer to how the rational exponent changes as m increases is it increases.
For example, consider x to equal 8, and compare [tex]x^{2/3[/tex] (the cube root of 8 squared) to [tex]x^{3/3[/tex] (the cube root of 8 cubed).
As m increases from 2 to 3, the exponent changes from 2/3 to 3/3 (or 1), and thus the result of the expression goes from 4 to 8, illustrating that the expression's value increases with m.
PLEASE I REALLY NEED HELP
Answer:
x=10
Step-by-step explanation:
Triangle MNP is identical to Triangle QRP.
(x+8)÷24=28÷(3x-9)
28x+224=72x-216
44x=440
x=10
A. (-45, -2), (-48, -1), (-49, 0), (-48, 1), (-45, 2)
B. (-2, -53), (-1, -50), (0, -49), (1, -48) (2, -45)
C. (-2, -45), (-1, -48), (0, -49), (1, -48) (2, -45)
Answer:
(-2)^2 - 49
4 - 49 = -45
(-1)^2 - 49 = 1 - 49= -48
(0)^2-49= 0-49=-49
(1)^2-49=1-49=-48
(2)^2-49= 4-49= -45
the solution is either a or c
(x,y) ==> (-45,-2),(-48,-1),(-49,0),(-48,1),(-45,2)
(y,x)==> (-2, -45), (-1,-48), (-0,-49),(1,-48),(2,-45)
Step-by-step explanation:
What is the degree measure of z?
A)81°
B)114
C)130°
D)147
Answer:
The answer is D because z is on a supplementary line which equals to 180 and subtract that by 33 it gives you 147
Step-by-step explanation: