Answer:
The Answer is -3x+15
Answer:
Step-by-step explanation:
25= (3x+10)
25-10 =
15=3x
15/3= 3x/3
5=x
Choose the equation for the line in slope-intercept form.
1. y=6
2. y=3/2 alternate form y=1 1/2, y=1.5
2. 3. and 4. the same answer
Step-by-step explanation:
don't forget to rate
Use the property of equality to solve this equation 4.5x=18
Answer:
x = 4
Step-by-step explanation:
Given
4.5x = 18 ( divide both sides by 4.5 )
x = 4
Answer:
x=4
Step-by-step explanation:
to isolate x, we need to divide both sides by 4.5, and 18/4.5 is equal to 4, so x=4.
Which of these tables represents a function?
X
-1
-2
0
W.
y
15
6
15
6
X y
0
4
15
6
0
-2
X.
6
-1
X
4 0
-1
6
6
>
Y.
-2
-2
15
X
6
4
0
15 -1
3
N
Z.
y
-2
The table that represents a function is the table in which each value of x is mapped to a single value of y.
When does a relation represents a function?A relation represents a function if each value of the input is mapped to only one value of the output, that is, one input cannot be mapped to multiple outputs.
For a point in the standard format (x,y), we have that:
x is the input.y is the output.The meaning is that the input given by the x-coordinate is mapped to the output given by the y-coordinate.More can be learned about relations and functions at https://brainly.com/question/12463448
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Solve the following inequality:
- 4x + 14 = 54
the answer to this question is -10.
3. a spherical balloon is inflated so that the volume is increasing at the rate of 5 m^3/min. at what rate is the radius increasing when the volume is 36πm^3? v =4πr^3 / 3
Main Answer: The rate at which the radius is increasing is 1/3 m/min when the volume is 36πm³.
Supporting Explanation: Given that the volume of the spherical balloon is increasing at the rate of 5 m³/min and the volume of the balloon is given as 36π m³.The volume of the balloon is given by v = 4πr³ / 3. Therefore, 4πr³ / 3 = 36π. This gives the radius of the balloon as: r = cuberoot(27) = 3m.Then, differentiating the volume equation with respect to time, t, we get: dv/dt = 4π(3r²)dr/dt. Rearranging the above equation, we get: dr/dt = (1/3)(dv/dt) / r².Substituting the values, we get: dr/dt = (1/3 * 5) / 3²dr/dt = 1/3 m/min. Therefore, the rate at which the radius is increasing is 1/3 m/min when the volume is 36πm³.Here, the keywords used are spherical balloon, volume, rate, radius, and cuberoot.
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Pls help i am STRUGGLING
Answer:
Step-by-step explanation:
It's a scalene triangle because,
It's all angles are unequal and sides are congruent which means unequal.
A manufacturer has a steady annual demand for 15,000 cases of sugar. It costs $10 to store 1 case for 1 year, $30 in set up cost to produce each batch, and $16 to produce each case. Find the number of cases per batch that should be produced to minimize cost.
The number of cases per batch that should be produced to minimize cost is: 300 units
How to find the economic order quantity?The number of cases per batch that should be produced to minimize cost can be found by using the Economic Order Quantity.
The Economic Order Quantity (EOQ) is a calculation performed by a business that represents the ideal order size that allows the business to meet demand without overspending. The inventory manager calculates her EOQ to minimize storage costs and excess inventory.
Thus:
Number of cases per batch = √((2 * Setup costs * annual demand)/ holding costs for the year)
Solving gives:
√((2 * 30 * 15000)/10)
= √90000
= 300 units
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The product of the first 5 terms of a geometric series is 243 if the third term of the geometric series is equal to the 10th term of an arithmetic series find the sum of the first 19 terms of the arithimetic series
Based on the provided information, the sum of the first 19 terms of the arithmetic series is 57.
An arithmetic series is a sequence of numbers such that the difference between the consecutive terms is constant. A geometric series is a sequence of numbers such that they have a constant ratio between successive terms.
Let the five terms of the geometric series be (such that r the common ratio is eliminated from the product to find a)
a/r^2, a/r, a, ar, ar^2
As the product of the first five terms of a geometric series is 243,
a/r^2* a/r * a* ar* ar^2 = 243
a^5 = 243
a^5 = 3^5
a = 3
Hence, the third term of the geometric series is 3.
Consider the arithmetic series,
b, b + d, b + 2d, …. b + (n – 1)d,… where d is the common difference.
The tenth term of the arithmetic series is
b + (10 -1)d
b + 9d
As the tenth term of the arithmetic series is equal to third term of the geometric series,
b + 9d = 3
The sum of the n term is: n/2(2b + (n - 1)d)
When n = 19
19/2(2b + (19-1)d)
19/2(2b + 18d)
19(b + 9d)
19*3
57
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To which subset(s) of real numbers does V30 belong?
Rational
Negative Integer
Integer
Irrational
Step-by-step explanation:
√30 is an irrational number
it belong to Irrational subset
Based on information from a large insurance company, 68% of all damage liability claims are made by single people under the age of 25. A random sample of 53 claims showed that 41 were made by single people under the age of 25. Does this indicate that the insurance claims of single people under the age of 25 is higher than the national percent reported by the large insurance company? State the null and alternate hypothesis.
No, it doesn't show that single individuals under the age of 25 have more insurance claims than the nationwide percent reported by the big insurance firm.
Hypothesis
Null hypothesis : H0: p = 0.68
Alternative hypothesis : Ha: p > 0.68
A random sample of 53 claims showed that 41 were made by single people under the age of 25.
Thus; p^ = 41/53 = 0.7736
The test statistic is
z = (p^ - p_o)/√(p_o(1 - p_o)/n)
z = (0.7736 - 0.68)/√(0.68(1 - 0.68)/41)
z = 0.0936/0.07285
z = 1.28
The p-value from z-score calculator, using z = 1.28, one tail hypothesis and significance level of 0.05,we have;
P(z > 1.28) = 0.100273
The p-value gotten is greater than the significance value and so we fail to reject the null hypothesis and conclude that there is insufficient evidence to support the claim.
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Jay i trying to implify the following expreion 3x (3 12 divided by 3) -4. What hould be hi firt tep in olving thi problem
According to the BODMAS rule, the first step to solve the given expression is to solve the bracket.
What is BODMAS?Children can use the acronym BODMAS to help them remember the right order to carry out mathematical operations while solving problems.
B-Brackets, O-Orders (powers/exponents or roots), D-Division, M-Multiplication, A-Addition, and S-Subtraction are all abbreviated as BODMAS.
So, we have the expression: 3(3½ ÷ 3)-4
The next step would be according to the BODMAS rule.
In the BODMAS rule the letter B stand for brackets.
Hence, the first step will be to solve the bracket.
Therefore, according to the BODMAS rule, the first step to solve the given expression is to solve the bracket.
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If the walls of a square room require 480 ft^2 of paint and the floor to ceiling height is 10
ft, what are the dimensions of the room?
Answer:
48 by 10 because
\(480\div 10 = 48\)
therefore the wall dimensions are 48 by 10
the extent to which a reesearcher's sample is representative of the population that it was drawn from is called
The extent to which the researcher can refer that findings with a sample from which it was drawn is referred to as generalizability.
Generalizability refers to the ability to extrapolate study findings from a sample to the entire population. It also refers to the capacity to apply findings from one study to a similar environment in a different investigation.
Generalizability and transferability are two research traits that are related. When considering generalizability in research, there are two features or dimensions to consider: generalizability as it relates to the specific population on which the research is conducted, and generalizability on a global scale.
Such studies will be easier to generalize if the researcher uses adequate sampling approaches, sample sizes, and exact processes.
In general, a study has strong generalizability when the findings apply to a wide range of persons or situations. The study has weak generalizability if the results can only be applied to a subset of the population or in a very specific circumstance.
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If x+3y=7 and x-3y=1 what's y
Subtract one equation from the other to eliminate x :
(x + 3y) - (x - 3y) = 7 - 1
6y = 6
y = 1
The measure of the complement of the angle of measure 50 degree is......... .
The correct answer is 40°. The measure of the complement of the angle of measure 50 degrees is 40 degrees as the sum of 40° & 50° is 90°.
Complementary angles are a pair of angles whose sum is 90 degrees.
Therefore, the measure of the complement of the angle of measure 50 degrees can be found by subtracting 50 degrees from 90 degrees.
This is because the complement of the angle of measure 50 degrees is the other angle that, when added to 50 degrees, gives 90 degrees.
The measure of the complement of the angle of measure 50 degrees is 40 degrees.
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Find the midpoint of the segment with the following endpoints. ( 9 , 2 ) and ( 5 , 5 )
Answer:
(7,\(\frac{7}{2}\))
Step-by-step explanation:
Answer:
(7, 3.5)
Step-by-step explanation:
Ple answer if you can! ASAP
Charlie graphs the equation y= –12x+2
Select all statements about Charlie's graph that are true.
a.The graph is a straight line.
b.The line does not pass through the origin.
c.The line passes through the point (0, –2).
d.The slope of the line is 1/2.
e.The y-intercept of the line is 2.
Answer:
Step-by-step explanation:
The answer is a,b, and e
This equation is in the form of y=Mx+b where b is the y intercept and m is the slope.
A fruit bowl contains apples and bananas in the ratio 4 : 5. Two apples are removed changing the ratio to 2 : 3. Work out the total number of fruit that remain in the bowl.
Answer:
25
Step-by-step explanation:
Given that the ratio is 4 : 5 = 4x : 5x ( x is a multiplier ), then
4x - 2 : 5x = 2 : 3
Expressing the ratio in fractional form
\(\frac{4x-2}{5x}\) = \(\frac{2}{3}\) ( cross- multiply )
3(4x - 2) = 10x , distribute left side
12x - 6 = 10x ( subtract 10x from both sides )
2x - 6 = 0 ( add 6 to both sides )
2x = 6 ( divide both sides by 2 )
x = 3
Thus initially there were
4x + 5x = 9x = 9(3) = 27 pieces of fruit
2 apples were removed, leaving 25
Answer:
25
Step-by-step explanation:
4 : 5. is ratio before two apples were removed.
2 : 3. is ratio after two apples were removed.
combing the two statements will give you the following mathematical statement:
4x-2:5x=2:3 solve for x
3(4x-2)=5x*2
12x - 6=
2x=6
x=3
then 4x + 5x = total ñô fruit
4(3) + 5(3) = total ñô fruit
27= total ñô fruit
remaining fruit=total ñô fruit - 2
remaining fruit=27-2
remaining fruit=25
100 points plus brainlliest if you send friend request and answer 150*34
Answer:
5100
Step-by-step explanation:
PLEASE HELP I WILL GIVE BRAINLIEST
Step-by-step explanation:
A natural number is a positive whole number.
A whole number is a positive number with no fractions or decimals.
A interger is a whole number negative or positive.
A rational number is a number that terminates or continue with repeating digits.
A irrational number is a number that doesn't terminate or continue with repeating digits.
1. Rational Number
2. Natural,Whole,Interger,Rational
3. Whole,Rational,Interger
4. Rational
5.Irrational
6.Rational
7.Natural,Whole,Interger,Rational
8.Interger,Rational
9.Irrational
a soccer team has 20 players on its roster. in how many ways can 11 players be chosen to form a starting lineup (ignoring the positions played)?
The ways to select the players from the total is 167960
How to determine the ways of selection?From the question, we have
Total number of players, n = 20
Numbers to selection, r = 11 players
The number of ways of selection could be drawn is calculated using the following combination formula
Total = ⁿCᵣ
Where
n = 20 and r = 11
Substitute the known values in the above equation
Total = ²⁰C₁₁
Apply the combination formula
ⁿCᵣ = n!/(n - r)!r!
So, we have
Total = 20!/(11! * 9!)
Evaluate
Total = 167960
Hence, the number of ways is 167960
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solve the simultaneous equations y=3x+2 and y=x+6
Answer:
x=2
Step-by-step explanation:
y=3x+2
y=x+6
Since you're stating that, they both equal because equation is equated to equation 2 because of the Y.
Therefore, substitute into both equations as shown:
3x+2=x+6
3x-x=6-2 (bring 2 to the other side by subtracting 2 as well as x)
2x=4
2x/2=4/2 (dividing 2 on both sides to get rid off 2 in 2x)
x=2.
The solution of the given system of equations y=3x+2 and y=x+6 using the substitution method will be x = 2 and y = 8.
What is the equation?More than one variable may be present inside a linear equation.
There are many different ways to define an equation. The definition of an equation in algebra is a mathematical statement that demonstrates the equality of 2 mathematical expressions.
As per the given system of equations,
y=3x+2 and y=x+6
Compare both values,
3x + 2 = x + 6
3x - x = 6 - 2
x = 4/2 = 2
And, y = 2 + 6 = 8
Hence "The solution of the given system of equations y=3x+2 and y=x+6 using the substitution method will be x = 2 and y = 8".
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How do i find the measurement of an exterior angle
2. Compute the probability of randomly drawing seven cards from a deck of cards and getting three Jacks and two Kings.
The probability of randomly drawing seven cards from a deck of cards and getting three Jacks and two Kings is approximately 0.00000027 or 2.7 in 10 million.
To compute the probability of randomly drawing seven cards from a deck of cards and getting three Jacks and two Kings, we can use the formula for hypergeometric probability.
The number of ways to draw three Jacks and two Kings from a deck of cards is given by:
(4 choose 3) * (4 choose 2) = 6 * 6 = 36
where (n choose k) represents the number of ways to choose k items from a set of n items.
The total number of ways to draw seven cards from a deck of cards is given by:
(52 choose 7) = 133,784,560.
So the probability of getting three Jacks and two Kings when drawing seven cards from a deck of cards is:
36 / 133,784,560 ≈ 0.00000027.
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What is the slope of the line represented by the equation -5x + 2y = 10?
0 - 12/201
O
O
O
25
52
The slope of the line represented by the equation -5x + 2y = 10 is slope = -5/2 and y intercept= -5
In order to answer the question, we must first simplify the given linear equation so that it may be expressed as a regular linear equation with slope and intercept. A linear equation's slope intercept form is y=mx+b , where "m" denotes the line's slope and "b" its y-intercept. The value of y = 0 must then be entered for the x-intercept, and the value of "x" must then be determined. We will obtain all necessary values in this manner.
By slope-intercept form equation of the line:
y=mx+b
The advantage of the equation in this form is that m and b can be derived 'easily'
Rearrange -5x-2y = 10 in this form.
-2y=5x+10
y=-5/2x+-10/2
y=-5/2x-5
slope = -5/2
y intercept= -5
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1 - (-3) 2+ (-3) - 5
Answer:
1 - (-3) X 2 + (-3) - 5 = ?
To find your answer, first group the same number if there are any. In this situation, there are two -3.
You can take your calculator if you have one and input your information.
In the end, you should get -1 as your final answer.
Step-by-step explanation:
Hope that this helps! :)
Have a great rest of your day/night!
a class has 30 students. what is the probability that at least two people in this class share the same birthday?
To calculate the probability that at least two people in a class of 30 share the same birthday, we can use the complement rule, which states that the probability of an event happening is equal to one minus the probability of the event not happening.
If we assume that birthdays are uniformly distributed throughout the year (i.e., each day is equally likely to be someone's birthday), then the probability that no two people in the class share the same birthday is:
365/365 * 364/365 * 363/365 * ... * 336/365
This is because the first person can have any birthday (probability of 365/365), the second person must have a different birthday (probability of 364/365), the third person must have a different birthday than the first two (probability of 363/365), and so on, up to the 30th person, who must have a different birthday than the first 29 (probability of 336/365).
Calculating this probability gives us:
(365/365) * (364/365) * (363/365) * ... * (336/365) ≈ 0.2937
So the probability that no two people in the class share the same birthday is approximately 0.2937.
Using the complement rule, the probability that at least two people in the class share the same birthday is:
1 - 0.2937 = 0.7063
Therefore, the probability that at least two people in a class of 30 share the same birthday is approximately 0.7063, or 70.63%.
(Write using exponents) I’ll give brainliest!! pls help
Answer: Use a algebra calculator
Step-by-step explanation: go to google
what is the maximum of the sinusoidal function? enter your answer in the box.
Answer:
Step-by-step explanation:
B
The ages of Rita and Gita are in the ratio of 5:7.Five years from now their ages will be in the ratio of 3:4.Find their present age.
Answer:
25 and 35 are the ages