The equation given is:
\(\frac{1}{4}(\frac{1}{3}k+9)=6\)Multiply both-side of the equation by 6
\(4\times\frac{1}{4}(\frac{1}{3}k+9)=6\times4\)\((\frac{1}{3}k+9)=24\)subtract 9 from both-side of the equation
\(\frac{1}{3}k=15\)To get k, we are to multiply both-side of the equation
\(k=45\)Therefore, Olga made a mistake in the last step
Can someone help me with this? it’s due tomorrow
Answer:
what answer do you want from me
Step-by-step explanation:
please mark me as
Avery's recipe ask for 100ml of milk. She only has a 10ml measuring cup. How many times will she need to fill her measuring cup to get the right amount of milk for her recipe
Ten times to get the required amount of 100ml of milk for her recipe.
Avery needs to measure 100ml of milk for her recipe but she only has a 10ml measuring cup.
Therefore, she needs to determine how many times she will need to fill her 10ml measuring cup to get the required amount of milk.
To calculate this, we can divide the required amount of milk by the capacity of the measuring cup. In this case, we divide 100ml by 10ml to get:
100ml ÷ 10ml = 10
This means that A very will need to fill her 10ml measuring cup 10 times to get the required amount of milk for her recipe.
Another way to think about it is to consider that 100ml is ten times the capacity of the 10ml measuring cup. Therefore, Avery will need to fill the measuring cup ten times to get the required amount of milk.
In summary, Avery will need to fill her 10ml measuring cup ten times to get the required amount of 100ml of milk for her recipe. t
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The probability of getting heads on a single coin flip is ;
2
The probability of getting nothing but heads
on a series of coin flips decreases by
2
for each additional coin flip. Enter an exponential function for the
probability p(n) of getting all heads in a series of n coin flips. Give your answer in the form a (b)'. In the
event that a = 1, give your answer in the form (b)'.
Find a quadratic function of the form y = ax that passes through the point (-2,16).
Y=
Answer:
y = 4x^2
Step-by-step explanation:
To find a quadratic function of the form y = ax^2 that passes through the point (-2,16), we need to substitute the coordinates of the point into the equation and solve for the coefficient a.
Substituting x=-2 and y=16 into the equation, we get:
16 = a(-2)^2
16 = 4a
a = 4
Therefore, the quadratic function of the form y = ax^2 that passes through the point (-2,16) is:
y = 4x^2
Jug A contains 6/7 as much water as Jug B.Jug C contains 3/5 as much water as Jug A.Find the ratio of the volume of water in Jug B to the volume of water as Jug C.
The ratio of the volume of water in Jug B to the volume of water in Jug C is 35:18.
Let's assume the volume of water in Jug B is x.
According to the given information, Jug A contains 6/7 as much water as Jug B. Therefore, the volume of water in Jug A can be calculated as (6/7) * x.
Similarly, Jug C contains 3/5 as much water as Jug A. Hence, the volume of water in Jug C can be expressed as (3/5) * [(6/7) * x].
To find the ratio of the volume of water in Jug B to the volume of water in Jug C, we divide the volume of water in Jug B by the volume of water in Jug C:
(x) / [(3/5) * (6/7) * x]
Simplifying the expression, we get:
x / (18/35 * x)
The x values cancel out, leaving us with:
1 / (18/35)
To simplify further, we multiply the numerator and denominator by the reciprocal of the denominator:
1 * (35/18)
The final ratio is:
35/18
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What is the sum of the interior angles of the polygon shown below
Answer:
900
Step-by-step explanation:
The sum of the interior angles of a polygon with n sides is given by the formula:
\(S=(n-2)180\)
The polygon given has 7 sides. Substitute 7 for n. Thus:
\(S=(7-2)180\\S=5(180)\\S=900\)
The sum of the interior angles is 900 degrees.
sara mailed 20 christmas cards. of them were mailed to canada. what percentage of the cards were mailed to canada
Answer:
45%
Step-by-step explanation:
9/20
Find the value of X
WILL MARK BRAINLIEST IF CORRECT!
Answer:
x = 52
Step-by-step explanation:
This is a picture of a right angle, which is 90 degrees. We should first make an equation to represent this problem.
(x - 12) + 50 = 90
1. Subtract 50 from both sides of the equation.
(x - 12) = 40
2. Add 12 from both sides of the equation
x = 52
The value of x is 52.
Answer:
52°
....
....
....
....
............
is this correct?
A.yes
B. No
C. Maybe
D. I DUNNO???!!!
Answer:
its yes
Step-by-step explanation:
because it's x 2 I hope this helps
plz the teacher never explan this lesson in class
Answer:
5
30
15
Hope that helps!
Step-by-step explanation:
Plz, help. In the picture below.
Answer:
I don't know sorry
Step-by-step explanation:
Find (fog)(2).
f(x) = 3x + 2
g(x) = x²
(fog)(2)=
Answer:
(f·g)(2) = 14----------------------------
Find the composition of the functions f(x) and g(x), which is written as f(g(x)).
Given functions:
f(x) = 3x + 2,g(x) = x² .Find f(g(x)):
f(g(x)) = f(x²) = 3(x²) + 2Evaluate f(g(2)):
f(g(2)) = 3(2²) + 2 = 3(4) + 2 = 12 + 2 = 14So, (f·g)(2) = 14.
Find the volume of this shape
Answer:
141.37
Step-by-step explanation:
\(v =\pi \: r {}^{2}h = \pi \times 3 {}^{2} \times 5 = 141.37\)
What is the volume of a sphere with a 9m radius ?
Answer:
the volume of a sphere with a 9m radius is approximately 3053.63 cubic meters.
Step-by-step explanation:
The formula for the volume of a sphere is:
V = (4/3)πr^3
where r is the radius of the sphere and π is a constant approximately equal to 3.14.
Substituting the given radius of 9m into the formula, we get:
V = (4/3)π(9^3)
V = (4/3)π(729)
V = 3053.63 cubic meters (rounded to two decimal places)
Therefore, the volume of a sphere with a 9m radius is approximately 3053.63 cubic meters.
Allen went out to dinner and hls total bill
came to $22.14. The tax on his meal was
8%, or $1.64. What was the subtotal of
his dinner?
LIM w→(-4) ((sin (pie*w)) /w^2-16)
No answer needed!
Answer: yes
Step-by-step explanation:
Unexpected expenses have come up, and you want a cash advance on your credit card (which comes with a transaction fee of 2.5%). The limit on your credit card is $7,500, and you already have a balance of $2,200. What is your available credit? How much will you owe as a transaction fee if you want a cash advance on your available credit??
Please answer correctly and explain your answer…
To calculate your available credit, you need to subtract your current balance and the amount of cash advance you want from your credit limit:
Available credit = credit limit - current balance - cash advance amount
Given that your credit limit is $7,500 and your current balance is $2,200, the available credit can be calculated as follows:
Available credit = $7,500 - $2,200 - cash advance amount
Now, if you want a cash advance of $1,000, for example, your available credit will be:
Available credit = $7,500 - $2,200 - $1,000 = $4,300
Therefore, your available credit is $4,300 if you want a cash advance of $1,000.
To calculate the transaction fee, you need to multiply the cash advance amount by the transaction fee percentage. In this case, the transaction fee is 2.5%. So, if you want a cash advance of $1,000, the transaction fee will be:
Transaction fee = $1,000 x 0.025 = $25
Therefore, if you want a cash advance of $1,000, you will owe a transaction fee of $25. It's important to note that cash advances usually come with a higher interest rate than regular credit card purchases, so it's best to use them only when absolutely necessary and pay them off as soon as possible to avoid accruing interest charges.
plot the points on the coordinate plane and answer the questions k (11,...),L(....,11), and M(40,....) are on that line, too what are the missing coordinates
The missing coordinates on the line after plotting the points are k(11, 0), L(0, 11) and M(40, 40).
Plotting the points on the coordinate planes
The points can be plotted on coordinate planes as shown below in the graph uploaded.
The missing coordinates are determined as follows;
k (11, 0)L (0, 11)M (40, 40)Thus, the missing coordinates on the line after plotting the points are k(11, 0), L(0, 11) and M(40, 40).
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please help! I'd greatly appreciate it!
Answer:
[-4,2] or \(-4 \leq x \leq 2\)
Step-by-step explanation:
Range is the range of the y-axis.
Although we see that the "line" ends at a specific point, it is neither the highest or lowest y-value.
Our lowest y value is -4, and because it is a line, it is not an open dot resulting in a [, instead of a (.
This same thing happens with highest y-value which happens to be 2.
This is interval notation.
Due to your question, you may be asking for this:
\(-4 \leq x \leq 2\)
pls help !! i will mark brainilest
Answer:
m = 2/3
Step-by-step explanation:
Answer:
\( \frac{2}{3} \)
Step-by-step explanation:
slope is
\( m = \frac{rise}{run} = \frac{y 2 - y1}{x2 - x1} \)
(0,0) & (3,2)
\( m = \frac{2 - 0}{3 - 0} = \frac{2}{3} \)
A company uses the graph to show how many packages each truck driver delivers .How many packages will one truck driver deliver in a 7-hour day?
The truck driver would deliver 105 packages in a 7 hours day
What is an equation?An equation is an expression that shows how numbers and variables are related to each other using mathematical operators.
Let y represent the number of packages delivered by the truck driver in x hours. Using the point (1, 15) and (4, 60). Hence, the equation is:
y - 15 = [(60-15)/(4-1)](x - 1)
y = 15x
For a 7 hour day (x = 7):
y = 15(7) = 105
The driver would deliver 105 packages in 7 hours
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Pls help
Me i have alot and this is due tomorrow
Twenty percent of adults in a particular community have at least a​ bachelor's degree. Suppose x is a binomial random variable that counts the number of adults with at least a​ bachelor's degree in a random sample of 100 adults from the community. If you are using a calculator with the binompdf and binomcdf​ commands, which of the following is the most efficient way to calculate the probability that more than 60 adults have a​ bachelor's degree, ​P(x?>60)?
a. P(x < 60)=binompdf(100,0 20,59)
b. P(x<60)=binompdf(100.0.20.60)
c. P(x<60)= binomcdf(100,0,20,59)
d. P(x<60)=binomcdf (100.0.20.60)
Answer:
Step-by-step explanation:
Since x is a binomial random variable that counts the number of adults with at least a bachelor's degree, it means that there are only two outcome. It is either an adult has a bachelor's degree or not. The probability of success would be that the adult has a bachelor's degree. Therefore, probability of success, p = 20/100 = 0.2
Number of adults in the sample is 100
The number of success expected is x
We want to determine the probability of P(x ≥ 60)
Therefore, the most efficient way to calculate the probability that more than 60 adults have a bachelor's degree is
b. P(x<60)=binompdf(100.0.20.60)
This is because it is a discrete probability distribution function
please help!!! i need help with this question because im failing math and this question will boost me up to a passing D
Answer:
3/25 or 12% (Id reccomend 3/25)
Step-by-step explanation:
There are 5 unique cards. Your chance of pulling the number 5 is 1/5
Then you also have to pick an odd number after in which there are 2 (#'s 3 and 5) so 2/5
To find the answer of both scenarios happening you multiply both probabilities
1/5 * 2/5 = 3/25
Fraction: 3/25
Whole Number: 12%
-- Gage Millar, Algebra 1/2 and Pre-Calc Tutor.
The probability of picking a 5 and then an odd number is 2/25
We are given 5 cards: 2,3,4,5,6.
From the given 5 card appears only once and odd number cards are 3 and 5.
There are 5 cards so pick the number 5 from the 5 cards
The probability is 1/5.
then replacing that card back and we have to pick an odd number
In the pack of cards there are 2 odd numbers =3,5
so probability of picking them is 2/5
thus multiplying 1/5 and 2/5 gives
1/5*2/5 = 2/25
Hence the probability of picking 5 and then an odd number is 2/25.
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What is the allusion:
"I don't know if this store carries shoes in your size, Sasquatch," my dad joked when we went shopping for another new pair of shoes, my second pair in two
months.
Shoes
Dad
Sasquatch
Two Months
The allusion in this statement is "Sasquatch," referencing a legendary creature known for its large size and used humorously to imply the person's abnormally large shoe size.
The allusion in the given statement is "Sasquatch." Sasquatch, also known as Bigfoot, is a legendary creature often depicted as a large, hairy, and elusive humanoid. In this context, the reference to Sasquatch is used metaphorically to humorously imply that the person's shoe size is abnormally large.
The mention of Sasquatch adds a playful and exaggerated tone to the conversation about shopping for shoes. It serves as a lighthearted way for the dad to comment on the frequency of buying new shoes, suggesting that the person's feet grow rapidly or that they have a high shoe consumption rate.
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NEED ANSWER ASAP!!
How much water should be added to 18 mL of 15% alcohol solution to reduce the concentration to 9%?
Solve pls branliest!
Answer:
1 23 then 70 .2 corrected
Can someone please help me. 7th grade math
Answer:
x ≥ 1.8
Step-by-step explanation:
A company uses six filling machines of the same make and model to place detergent into cartons that show a label of 32 ounces. The production manager has complained that the six machines do not place the same amount of fill into the cartons. A consultant requested that 20 filled cartons be selected randomly from each of the six machines and the content of each carton carefully weighed. The response is the deviation from 32 ounces.
(a) Is this study experimental, observations, or mixed?
(b) Identify all factors, factor levels, and factor-level combinations. For each factor indicate if it is experi- mental or observational.
(c) What type of design is being implemented here?
(d) We import the data and display the structure of the dataframe. We also coerse the variable Machine to a factor, and display the factor levels.
(a) This study is observational because the consultant is not manipulating any variables or imposing treatments on the machines.
(b) The factors are:
Machine (experimental factor): There are six machines, labeled A through F.
Carton (observational factor): There are 20 cartons selected randomly from each machine.
Deviation from 32 ounces (response variable): This is the weight difference between the actual fill amount and the target fill amount of 32 ounces.
The factor levels are:
Machine: A, B, C, D, E, F
Carton: 1, 2, 3, ..., 20
The factor-level combinations are all possible pairs of machine and carton, such as A-1, A-2, ..., F-20.
(c) This is a nested design because the 20 cartons selected from each machine are not interchangeable between machines.
(d) Here's an example code snippet in R to import the data and display the structure of the dataframe:
data <- read.csv("filling_machine_data.csv")
data$Machine <- factor(data$Machine)
levels(data$Machine)
Assuming the data is stored in a CSV file called "filling_machine_data.csv", the code reads in the data, coerces the Machine variable to a factor, and displays the factor levels of Machine
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Prove that the set of functions from N to N is uncountable, by using a diagonalization argument. N is the set of natural numbers.
Hence Proved N to N is uncountable set by using a diagonalization argument
What is Diagonalization Argument?
Georg Cantor published the Cantor's diagonal argument in 1891 as a mathematical demonstration that there are infinite sets that cannot be put into one-to-one correspondence with the infinite set of natural numbers. It is also known as the diagonalization argument, the diagonal slash argument, the anti-diagonal argument, the diagonal method, and Cantor's diagonalization proof.
Proof:
We write f as the sequence of value it generates
that is, say f:N-N is defined as f(x) =x then
we write f as : 1,2,3,4........
similarly if f:N-N were f(x) = 2x then we write it as :2,4,6,8.......
now assume on the contrary that the set of functions from N to N is countable
then,
\(f_{1}\) : \(f_{11}\) \(f_{12}\) \(f_{13}\) , ...........
\(f_{2}\) : \(f_{21}\) \(f_{22}\) \(f_{23}\) , ...........
\(f_{3}\) : \(f_{31}\) \(f_{32}\) \(f_{33}\) , ........... and so on
Here \(f_{ij}\) =\(f_{i}(j)\)
consider the function f as :
f : (\({f11}\) +1 ) , (\({f22}\) +1) , (\({f33}\) +1),.........
Then f wouldn't appear in the list of the function we had above since any \(f_{i}\) would disagree with f at the i th place
Therefore the set of the function from N to N is an uncountable set
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