Answer:
10
I hope this it right
sorry if it is wrong
if y=5x-3, find the value of y when x=-2
Answer:
y = -13
Step-by-step explanation:
y = 5(-2) - 3
y= -10 -3
y = -13
Step-by-step explanation:
or, y = 5x - 3
or, y = 5 (-2) - 3
or, y = -10 - 3
y = -13
solve the systems of equations for
y=x+16
y=5x-12
Answer:
(7, 23).
Step-by-step explanation:
y=x+16
y=5x-12
Subtract the equations
0 = x - 5x + 16 - (-12)
-4x + 28 = 0
4x = -28
x = 7
plug x = 7 in first equation:
y = 7 + 16 = 23.
i need help cause is due at 11:59 est
Answer:
Matt used diameter of the ball instead of Radius
Step-by-step explanation:
The volume of a sphere is given as:
4/3πr³⇒ Matt made an error in his calculation by failing to covert the value of the diameter given to Radius.
⇒ By dividing the diameter by 2 = 15 / 2 = 7.5, we obtain the Radius, which is what Billy did in her own calculation.
(01.01 LC)
Which of the following numbers is irrational?
√5.3√9
O
O √5
O
73
√9
An irrational number is the square root of 5 since it cannot be written as a ratio of two integers.
What are irrational numbers?Irrational numbers are number that cannot be written as a ratio of two integers.
Most irrational numbers are repeating decimals. From the given options, an irrational number is the square root of 5 since it cannot be written as a ratio of two integers.
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Chef Rita is cooking for a Sunday brunch. She knows that 22 pancakes can feed 8 people. She is wondering how many people (p) she can feed with 55 pancakes. She assumes each person eats the same quantity of pancakes.
Answer:
20 people
Step-by-step explanation:
In order to find out how many people she can feed with 55 pancakes, we must find out how many pancakes she can feed 1 person.
22/8 = 2.75
She can feed 2.75 pancakes to one person.
55/2.75 = 20
Therefore, she can feed 20 people with 55 pancakes.
Fantasy 5 is being played. The objective is to match at least two of the winning five numbers chosen from 40 possible ones. Each ticket costs $1. The following prizes will be awarded:
all 5 of 5 winning numbers - $unknown
4 of the 5 winning numbers - $500
3 of the 5 winning numbers - $5
2 of the winning numbers - $1
Determine the following probabilities.
a) Matching exactly 5 out of 5.
b) Matching exactly 4 out of 5.
c) Matching exactly 3 out of 5.
d) Matching 2 out of 5.
Probability is a measure of the likelihood or chance of an event occurring. It is expressed as a number between 0 and 1
a) The probability of matching exactly 5 out of 5 winning numbers is given by the number of ways to choose 5 winning numbers out of 40, divided by the total number of possible outcomes:
Probability of matching 5 out of 5 = (Number of ways to choose 5 winning numbers out of 40) / (Total number of possible outcomes)
The number of ways to choose 5 winning numbers out of 40 is given by the combination formula:
C(40,5) = 40! / (5! * (40-5)!) = 40 * 39 * 38 * 37 * 36 / (5 * 4 * 3 * 2 * 1) = 658008
The total number of possible outcomes is the number of ways to choose any 5 numbers out of 40, which is also given by the combination formula:
C(40,5) = 40! / (5! * (40-5)!) = 40 * 39 * 38 * 37 * 36 / (5 * 4 * 3 * 2 * 1) = 658008
Therefore, the probability of matching exactly 5 out of 5 winning numbers is:
Probability of matching 5 out of 5 = 658008 / 658008 = 1
b) The probability of matching exactly 4 out of 5 winning numbers is given by the number of ways to choose 4 winning numbers out of 5 and one non-winning number out of 35, divided by the total number of possible outcomes:
Probability of matching 4 out of 5 = (Number of ways to choose 4 winning numbers out of 5) * (Number of ways to choose 1 non-winning number out of 35) / (Total number of possible outcomes)
The number of ways to choose 4 winning numbers out of 5 is 5, since there are 5 different ways to choose which of the 5 winning numbers will not be matched.
The number of ways to choose 1 non-winning number out of 35 is given by the combination formula:
C(35,1) = 35
The total number of possible outcomes is the same as before:
C(40,5) = 40 * 39 * 38 * 37 * 36 / (5 * 4 * 3 * 2 * 1) = 658008
Therefore, the probability of matching exactly 4 out of 5 winning numbers is:
Probability of matching 4 out of 5 = 5 * 35 / 658008 = 0.000189
c) The probability of matching exactly 3 out of 5 winning numbers is given by the number of ways to choose 3 winning numbers out of 5 and two non-winning numbers out of 35, divided by the total number of possible outcomes:
Probability of matching 3 out of 5 = (Number of ways to choose 3 winning numbers out of 5) * (Number of ways to choose 2 non-winning numbers out of 35) / (Total number of possible outcomes)
The number of ways to choose 3 winning numbers out of 5 is given by the combination formula:
C(5,3) = 5! / (3! * (5-3)!) = 10
The number of ways to choose 2 non-winning numbers out of 35 is given by the combination formula:
C(35,2) = 35! / (2! * (35-2)!) = 35 * 34 / (2 * 1) = 595
The total number of possible outcomes is the same as before:
C(40,5) = 40 * 39 * 38 * 37 * 36 / (5 * 4 * 3 * 2 * 1) = 658008
Therefore, the probability of matching exactly 3 out of 5 winning numbers is:
Probability of matching 3 out of 5 = 10 * 595 / 658008 = 0.00905
d) The probability of matching exactly 2 out of 5 winning numbers is given by the number of ways to choose 2 winning numbers out of 5 and three non-winning numbers out of 35, divided by the total number of possible outcomes:
Probability of matching 2 out of 5 = (Number of ways to choose 2 winning numbers out of 5) * (Number of ways to choose 3 non-winning numbers out of 35) / (Total number of possible outcomes)
The number of ways to choose 2 winning numbers out of 5 is given by the combination formula:
C(5,2) = 5! / (2! * (5-2)!) = 10
The number of ways to choose 3 non-winning numbers out of 35 is given by the combination formula:
C(35,3) = 35! / (3! * (35-3)!) = 35 * 34 * 33 / (3 * 2 * 1) = 6545
The total number of possible outcomes is the same as before:
C(40,5) = 40 * 39 * 38 * 37 * 36 / (5 * 4 * 3 * 2 * 1) = 658008
Therefore, the probability of matching exactly 2 out of 5 winning numbers is:
Probability of matching 2 out of 5 = 10 * 6545 / 658008 = 0.0998
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HELP! QUESTION IS ATTACHED BELOW.
Answer:
x² + y² = 16Step-by-step explanation:
The radius of the smallest circle is 2 as per the given equation.
The radius of the second circle is 2√2 as the half-diagonal of the square with side of 2.
The radius of the largest circle is 2√2*√2 = 2*2 = 4 units (same logic as above)
The equation for the largest circle is:
x² + y² = 4² ⇒ x² + y² = 16PLZZZ HELPP 3+7 - 1/2 is an example of
A. a numerical equation
B. an algebraic equation
C. a numerical expression
D. an algebraic expression
Can you guys please solve this problem I’ve been trying to solve it. I’m begging
Answer:
The value of x = 4
Step-by-step explanation:
Given the equation
\(5 + 9 = 6x - 10\)
switch sides
\(6x-10=5+9\)
Add 10 to both sides
\(6x-10+10=14+10\)
Simplify
\(6x=24\)
Divide both sides by 6
\(\frac{6x}{6}=\frac{24}{6}\)
Simplify
\(x=4\)
Therefore, the value of x = 4
Answer:
6x−10=5+9
6x−10=14
6x=14+10
x=
6
24
x=4
Write an algebraic expression for the nth term of each sequence for 26,31,36,41,46
this is an arithmetic sequence because the difference between each number is 5
formula :
an = a1 + d(n-1)
an = -26 + (-5) (n-1)
an = -26 -5n +5
an = 5n -21 is the answer
Details At age 35, Beth earns her MBA and accepts a position as vice president of an asphalt company. Assume that she will retire at the age of 60, having received an annual salary of $80000, and that the interest rate is 7%, compounded continuously. Round answers to the nearest dollar. What is the accumulated present value of her position? What is the accumulated future value of her position? Submit Question
the accumulated present value of Beth's position is approximately $15,256.
the accumulated future value of Beth's position is approximately $79,857.
What is the accumulated present value of her position?To find the accumulated present value and future value of Beth's position, we need to calculate the present value and future value of her annual salary over the 25-year period from age 35 to 60.
The formula for the present value of a continuous income stream is given by:
PV = A / e^(rt)
Where:
PV = Present Value
A = Annual income
r = Interest rate
t = Time in years
Given:
Annual income (A) = $80,000
Interest rate (r) = 7% = 0.07
Time (t) = 60 - 35 = 25 years
Let's calculate the accumulated present value:
PV = $80,000 /\(e^(0.07 * 25)\)
Using a calculator, we can evaluate \(e^(0.07 * 25)\) ≈ 5.244.
PV = $80,000 / 5.244 ≈ $15,256
Therefore, the accumulated present value of Beth's position is approximately $15,256.
What is the accumulated future value of her position?To calculate the accumulated future value, we can use the formula for continuous compounding:
FV = PV * e^(rt)
Where:
FV = Future Value
PV = Present Value
r = Interest rate
t = Time in years
FV = $15,256 * e^(0.07 * 25)
Again, using a calculator, we can evaluate \(e^(0.07 * 25) ≈ 5.244.\)
FV = $15,256 * 5.244 ≈ $79,857
Therefore, the accumulated future value of Beth's position is approximately $79,857.
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A department store purchases logo shirts at a cost of $10 per shirt. They mark up the price 100% and put them on the sales floor. Every month that a shirt doesn’t sell, the store reduces the selling price by 25%. After three monthly markdowns, the final shirt from the shipment is sold. There is a 5% sales tax on the selling price. What is the total cost to the customer?
The total cost to the customer is $8.86.
What Are Taxes?Taxes are mandatory contributions levied on individuals or corporations by a government entity—whether local, regional, or national.
Given:
Logo shirts at a cost of $10 per shirt.
Every month that a shirt doesn’t sell, the store reduces the selling price by 25%.
There is a 5% sales tax on the selling price.
According to given question we have
Cost of shirt = $10
Cost of the shirt after 100% increase
=100% of 10
= $10
Price of shirt after 100% increase
= $10 + $10
= $20
if shirt does not sell, price reduces by 25%. It means remaining value is 75% after every reduction.
So after 3 reductions, remaining value is 75% after every reduction
So, final price will be
$20 * 0.75 * 0.75 * 0.75
= $8.4375
There is a sales tax of 5% which customer will pay on the final price.
So, price for customer will be
$8.4375 + (5% of 8.4375)
= 8.4375 + 0.421875
= $8.859375≈ $8.86
Therefore, the total cost to the customer is $8.86.
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radius of a circle with 11,304 circuference
Answer:
1799.08748
Rounded version: 1799
Step-by-step explanation:
Report me if its wrong mark me Brianliest if its right.
factor the gcf: 12x3y 6x2y2 − 9xy3. 3x2y(4x2 2xy − 3) 3xy(4x 2xy − 3y2) 3xy(4x2 2xy − 3y2) 3x2y(4x3y − 2x2y2 − 3xy3)
The greatest common factor (GCF) of the expression 12x^3y, 6x^2y^2, and -9xy^3 is 3xy, and factoring out this GCF yields 3xy(4x^2 - 2xy - 3y^2).
To factor the GCF, we need to identify the common factors present in all the terms. In this case, the common factors among the terms are 3, x, and y. By factoring out the GCF, we can rewrite the expression as 3xy multiplied by the remaining factors.
The GCF, 3xy, is then distributed to each term within the parentheses. This process leaves us with the expression (4x^2 - 2xy - 3y^2) within the parentheses. By factoring out the GCF, we have effectively extracted the common factors, leaving behind the remaining factors that differ from term to term.
Thus, the correct factorization of the GCF is 3xy(4x^2 - 2xy - 3y^2), where the GCF 3xy has been factored out, and the remaining factors are contained within the parentheses.
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write a real-world problem that can be represented by the equation x+500=4732
Answer:
7858
Step-by-step explanation:
hope it helps you bye
Question 8 in the regression demand equation e(log〖(sales) | price))=11. 015 -2. 442 log(price)〗, at a price of $1, what is the expected value of sales? the log here, is the natural log. 0 / 1 point
The expected value of sales at a price of $1 is 11.015 for the given regression demand equation.
In the regression demand equation e(log(sales | price)) = 11.015 - 2.442 log(price), you want to find the expected value of sales at a price of $1. To find the expected value of sales, you need to substitute the given price of $1 into the equation and solve for the sales. Substituting the price of $1 into the equation, you get: e(log(sales | 1)) = 11.015 - 2.442 log(1). Since log(1) = 0, the equation simplifies to: e(log(sales | 1)) = 11.015 - 2.442 * 0, e(log(sales | 1)) = 11.015
Therefore, the expected value of sales at a price of $1 is 11.015.
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Plsss help I’ll give u brainlest and 5 or 10 points pls
Answer:
No
Step-by-step explanation:
That is not enough,that is why it is a no
PLs mark brainly
Hope this helps:)
for a given arithmetic sequence, the first term a1 is equal to 28 and the 93r term is equal to -432 find the value of the 33rd term a33
The 33rd term of the given Arithmetic progression will be -132.
What is an Arithmetic progression?
A series of numbers is called a "arithmetic progression" (AP) when any two subsequent numbers have a constant difference. Arithmetic Sequence is another name for it.
Given, first term= a1= 28
and, a93 = -432
we know that, a93 = -432
a + 92d = -432 (where d is the common difference)
28 + 92d = -432
92d = -432-28
= -460
d = -460/92 = -5.
Now, we can find the a33,
a33 = a + 32d
= 28 + (32× -5)
= 28-160
= -132.
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To determine a complete graph of a function f, we establish its domain and intercepts, its intervals of continuity, and differentiability, its points of discontinuity, and non differentiability, and its end behaviour. Then, to use derivatives, we do?
After determining the complete graph of a function f by establishing its domain, intercepts, continuity, and end behavior, we can use derivatives to analyze its behavior and further understand its properties.
The derivative of a function f at a point x gives us the instantaneous rate of change of the function at that point. We can use the derivative to determine whether the function is increasing or decreasing in a given interval, as well as to find any local maximum or minimum points of the function.
By examining the critical points of the function, which are the points where the derivative is zero or undefined, we can determine where the function changes from increasing to decreasing or vice versa. We can also use the second derivative of the function to determine the concavity of the graph and identify any inflection points.
Overall, the use of derivatives allows us to analyze the local and global behavior of a function, and provides a deeper understanding of its properties and characteristics.
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Sam paid 75 for 15hamburgers what is the unit price of one hamburger
The cost of one hamburger is 5
look at the attached picture
Hope it will help you
Good luck on your assignment
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15 burgers = 75
Divide by 15 to get the price of 1
1 burger = 5
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Estimate when the 4th most popular video was released.
Group of answer choices
2012
2013
2014
2016
2014, it had not quite reached the 2015 mark.
The length of a bacterial cell is about 4 x 10−6 m, and the length of an amoeba cell is about 2.5 x 10−4 m. How many times smaller is the bacterial cell than the amoeba cell? Write the final answer in scientific notation with the correct number of significant digits.
The bacterial cell length is 62.5 times smaller than the amoeba cell.
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables.
The length of a bacterial cell is about 4 x 10⁻⁶ m, and the length of an amoeba cell is about 2.5 x 10⁻⁴ m
Hence:
Ratio of Amoeba length to bacteria length = (2.5 x 10⁻⁴ m) / (4 x 10⁻⁶ m) = 62.5
The bacterial cell length is 62.5 times smaller than the amoeba cell.
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Answer:
the answer in scientific notation with the significant amount of digits is 6.25 x 10^2.
Step-by-step explanation:
you have to solve the equation and divide 0.00025 by 0.00004
you will get 6.25
and if you divide 2.5 by 4 you get 0.625 you have to move the decimal over to the right by 2 so you get the exponent of 2
The answer in scientific notation with the significant amount of digits is 6.25 x 10^2
B. Franc earns $15 an hour as a delivery driver. His company also pays him $30 a week
for car maintenance. What is the function that describes Franc's weekly earnings?
Answer: 15x+30y
Step-by-step explanation:
The function that describes Franc's weekly earnings is \(15x+30y\).
What is a word problem?A word problem is a verbal description of a problem situation. It consists of few sentences describing a 'real-life' scenario where a problem needs to be solved by way of a mathematical calculation.
For the given situation,
Earnings of Franc per hour = $15
Earnings of Franc per week = $30
Let x be the number of hours and
y be the number of weeks
Thus the function that describes Franc's weekly earnings is
⇒ \(15x+30y\)
Hence w can conclude that the function that describes Franc's weekly earnings is \(15x+30y\).
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Please help due in ten minutes
180- (80-10x)
180-80+10x
100+10x
Answer: 100+10x
true or false: the capital gains yield = (pt 1 â pt)/dt.
The formula the capital gains yield = (pt 1 â pt)/dt is false.
The proper equation for capital gains yield
return on investment = (pt - pt-1)/pt-1
where pt= cost of the resource at the conclusion of the holding period and pt-1 = cost at the start of the holding period.
This equation communicates the rate increment (or diminish) within the cost of a resource over the holding period and could be a degree of speculation return due to changes within the cost of the resource.
The term 'dt' in the original formula is not well defined and is not typically used in the context of calculating return on investment. yield = (pt 1 â pt)/dt is false.
The proper equation for return on investment is:
return on investment = (pt - pt-1)/pt-1
where pt= cost of the resource at the conclusion of the holding period and pt-1 = cost at the start of the holding period.
This equation communicates the rate increment (or diminish) within the cost of a resource over the holding period and could be a degree of speculation return due to changes within the cost of the resource.
The term 'dt' in the original formula is not well defined and is not typically used in the context of calculating return on investment.
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Round the number to 3
significant figures.
0.2590100
Answer:
0.259
Step-by-step explanation:
There are some rules in determining what numbers are significant figures.
All non-zero numbers are significant.Zeroes between two non-zero numbers are significant.Zeroes at the front of a number are not significant.Trailing zeroes are only significant if there is a decimal point.We can determine how many significant figures the number currently has.
The first zero is not significant.2, 5, 9, and 1 are significant because they are non-zero numbers.The zero between 9 and 1 is significant because it is a captive zero.The zeroes at the end of the number are significant because they are trailing zeroes.There are currently seven significant figures. In order to round the number to three significant figures, we must round it to the thousandths place, or the 9.
The rounding rules are:
If the digit in the place after the number we are rounding is less than 5, you round down (or in other words, keep the number the same; Ex: 74 becomes 70)If that digit is greater than 5, you round up (Ex: 78 becomes 80)Since 0 is less than 5, the number rounded to 3 significant figures is 0.259.
2. Find the domains of the functions. 1 (a). f(x) = √√/²2²-5x (b). f(x) = COS X 1–sinx
The domain of the function f(x) = √(√(22 - 5x)) is the set of all real numbers x such that the expression inside the square root is non-negative.
In this case, we have 22 - 5x ≥ 0. Solving this inequality, we find x ≤ 4.4. Therefore, the domain of the function is (-∞, 4.4].
The domain of the function f(x) = cos(x)/(1 - sin(x)) is the set of all real numbers x such that the denominator, 1 - sin(x), is not equal to zero. Since sin(x) can take values between -1 and 1 inclusive, we need to exclude the values of x where sin(x) = 1, as it would make the denominator zero.
Therefore, the domain of the function is the set of all real numbers x excluding the values where sin(x) = 1. In other words, the domain is the set of all real numbers x except for x = (2n + 1)π/2, where n is an integer.
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What is the value of x in the equation 8 + 4 = 2(x - 1)?
a
13/2
b
5
c
7
d
11/2
Answer:
Step-by-step explanation:
which system of equations is a equivalent to the following system? 2x + 4y = 14 4x + y = 20 answers choices 2x + 4y = 14 / -16x - 4y= -802x+4y=14/ -4x+ y = -204x+8y =-28 / 4x +y = 20-2x - 4 y =14/ 4x + y = 20
Given:
2x + 4y = 14
4x + y = 20
Required:
We need to find the equivalent to the given system.
Explanation:
Consider the equation
\(4x+y=20\)Multiply both sides of the equation by -4, it will not affect the equations of the system
\(-4(4x+y)=-4\times20\)\(-16x-4y=-80\)Final answer:
The equivalent system of the equation is
\(2x+4y=14\)\(-16x-4y=-80\)Find the area of this triangle..
Answer:
Step-by-step explanation:
Use the Pythagorean theorem to find the altitude.
h^2 = 9^2 - 6.4^2
h^2 = 40.04
h = 6.328
area = base * height/2
area = (2 * 6.4) * 6.328/2
area = 40.5 square units