Answer:1/14
Step-by-step explanation:He divides 1/2 of the jar into sevenths, but if he had the whole jar it would be fourteen parts because 2x7=14, or 14÷2=7
6. A mug is 1/5 full
full. The mug contains 3/8 of a cup of water. Find the capacity of the mug. Write the answer as a fraction or mixed number in simplest form.
The capacity of the mug is given by M = 1 7/8 cups
What is an Equation?Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
Let the equation be represented as A
Now , the value of A is
Substituting the values in the equation , we get
Let the amount of mug filled = ( 1/5 ) of the full amount M
Now , the mug contains 3/8 of a cup of water
So , the equation is
( 1/5 )M = ( 3/8 ) of a cup
Multiply by 5 on both sides , we get
M = 15/8 of a cups
M = 1 7/8 cups
Hence , the capacity of the mug is 1 7/8 cups
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Jack collected 18 ten-dollar bills while selling tickets for a show. He gave 1/6of the bills to the theater and kept the rest. How much money did he keep?
Answer:
150$
Step-by-step explanation:
Answer:
150$
Step-by-step explanation:
18 x 10= 180
180-(180÷6)
=180-30
=150$
What is the period of the function f(x) shown in the graph?
Enter your answer in the box.
Basic
Answer:
Period is \(\mbox{\huge {\boxed{\pi }}}\)
Step-by-step explanation:
Each gridline marker on the horizontal axis is π/4
The period of this function is the horizontal displacement at which the function starts to repeat itself
Looking at the function we see that the minimum value of the function is 1 and occurs first at -π/4 and then at 3π/4
So the period is 3π/4 - (-π/4) = 3π/4 + π/4 = (3/4 + 1/4)π = π
We could also double check this using another point of reference
let's take the peaks of the function
The first peak visible is at -3π/4 and the next peak at π/4
So the period = π/4 - (-3π/4) = π/4 + 3π/4 = π
how many times is the letter f (any case) in the following? if fred is from a part of france, then of course fred's french is good.
The count of letter f (any case) in ' if fred is from a part of france, then of course fred's french is good', is 8.
A word, phrase, or sentence in which no letter of the alphabet appears more than once is known as a heterogram (from the prefix hetero-, meaning "different," and the suffix -gram, meaning "written"). The same idea has also been denoted by the phrases isogram and nonpattern word.
Language on Vacation: An Olio of Orthographical Oddities, written by Dmitri Borgmann in 1965, mentions the idea, however he refers to it as an isogram. Borgmann asserts that he "introduced" the term "isogram" in a 1985 essay. Although he uses the term "isogram" in the paper itself, he also offers the name "asogram" to prevent confusion with lines of constant value like contour lines.
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The graph shows the height of a plant y, measured in inches, after x weeks. Which linear function relates y to
x?
A linear function that relates y to x include the following: B. y = 1/2(x)
What is a proportional relationship?In Mathematics and Geometry, a proportional relationship is a type of relationship that produces equivalent ratios and it can be modeled or represented by the following mathematical equation:
y = kx
Where:
y represents the height.x represents the number of weeks.k is the constant of proportionality.Next, we would determine the constant of proportionality (k) by using the various data points from table D as follows:
Constant of proportionality, k = y/x
Constant of proportionality, k = 1/2
Therefore, the required linear function is given by;
y = kx
y = 1/2(x)
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A message digest is defined as him) - (m*7;2 MOD 7793. If the message m = 23, calculate the hash
The hash of the given message is 135.
In computing, a message digest is a fixed-sized string of bytes that represents the original data's cryptographic hash. This hash is used to authenticate a message, guaranteeing the integrity of the data in the message.
Here, it is given the message m = 23
The formula to calculate hash is him) - (m*7;2 MOD 7793.
So, let's calculate the hash : him) - (m*7;2 MOD 7793(him) - (23*7;2 MOD 7793
⇒ (8*23) - (49 MOD 7793)
⇒ 184 - 49= 135.
So, the hash of the given message is 135.
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\(b = \binom{4}{ - 18} \)
Given that -2a = b, write a as a column vector.
Answer:
\(a=\left[\begin{array}{ccc}-2 \\9 \end{array}\right]}\)
Step-by-step explanation:
Given:
\(b=\left[\begin{array}{ccc}4\\-18\end{array}\right]\\\\-2a=b\)
Find:
\(a=\left[\begin{array}{ccc}??\\??\end{array}\right]\)
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
\(-2a=b\\\\\Longrightarrow a=-\frac{1}{2}b\\ \\\Longrightarrow a=-\frac{1}{2}\left[\begin{array}{ccc}4\\-18\end{array}\right] \\\\\Longrightarrow a=\left[\begin{array}{ccc}4(-\frac{1}{2}) \\-18(-\frac{1}{2}) \end{array}\right]\\\\\therefore \boxed{\boxed{a=\left[\begin{array}{ccc}-2 \\9 \end{array}\right]}}\)
Construct a confidence interval for μ assuming that each sample is from a normal population. (a) x
ˉ
=28,σ=4,n=11,90 percentage confidence. (Round your answers to 2 decimal places.) (b) x
ˉ
=124,σ=8,n=29,99 percentage confidence. (Round your answers to 2 decimal places.)
The confidence interval in both cases has been constructed as:
a) (26.02, 29.98)
b) (120.17, 127.83)
How to find the confidence interval?The formula to calculate the confidence interval is:
CI = xˉ ± z(σ/√n)
where:
xˉ is sample mean
σ is standard deviation
n is sample size
z is z-score at confidence level
a) xˉ = 28
σ = 4
n = 11
90 percentage confidence.
z at 90% CL = 1.645
Thus:
CI = 28 ± 1.645(4/√11)
CI = 28 ± 1.98
CI = (26.02, 29.98)
b) xˉ = 124
σ = 8
n = 29
90 percentage confidence.
z at 99% CL = 2.576
Thus:
CI = 124 ± 2.576(8/√29)
CI = 124 ± 3.83
CI = (120.17, 127.83)
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A box of Lucky Charms costs $3.29 and you have a coupon that will save you 75 cents off 2 containers. What is the final price if you buy 2?
Question 13 If the inflation rate is 180%, in how many years will average prices double?
If the inflation rate is 180%, the average prices will double in less than one year.
This is because inflation measures the increase in the prices of goods and services over a period of time. Therefore, the formula for calculating how many years it will take for average prices to double at a given inflation rate is:Years to double = 70/inflation rate
In this case, the inflation rate is 180%.
Therefore:Years to double = 70/180%
Years to double = 0.389 years
This means that average prices will double in approximately 4.67 months (0.389 years multiplied by 12 months per year).
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please help me ;-; The number of fish in a lake has been declining exponentially at a rate of 6% a year. If there are 21,000 fish currently in the lake, how many will there be in 8 years?
A. 12,801
B. 33,471
C. 118,440
D. 14,487
Identify the slope from the equation: y = 13x-5
the given expression is'
y = 13x - 5
compare this equation with the standard equation
y = mx + c
here m is slope
so m = 13
thus, the slope of the equation is m = 13
What am I doing wrong here? Please help!
Answer:
If there are dotted lines available then use dotted lines for the range where its only greater than or less than, when there is no equals to sign then you use dotted lines
Step-by-step explanation:
The equation of the line with the slope 1/3 that passes through the point (0,-3) is
Answer:
the answer is D
Step-by-step explanation:
1/3 is the slope
-3 is the y-intercept
put x=0, we will get -3 for y.
A store receives tomatoes in boxes of 40 tomatoes each. About 4 tomatoes per box cannot be sold due to damage. Write an algebraic expression that gives the number of tomatoes that the store can sell from a shipment of b boxes. Simplify the expression by combining like terms
please help!!!!! i need this asap
Answer:
40b - 4b or 36 b
Step-by-step explanation:
No. of tomatoes in each box = 40
No. of box shipped = b
No. of tomatoes in those b box = b*No. of tomatoes in each box = 40b
No. of tomatoes damaged in each box = 4
No. of box shipped = b
No. of tomatoes damaged in those b box = b*No. of tomatoes damaged in each box = 4b
Thus, total no. of tomatoes that can be sold by store = No. of tomatoes in those b box - No. of tomatoes damaged in those b box = 40b - 4b
Algebraic expression to express the no. of tomatoes that can be sold from those b box is
40b - 4b = 4b(10-1) = 4b(9) = 36b (Answer)
Write down the three digit number closest to 400 that can be made with three of the digits.
Here are four digits.
3 8 1 4
Answer: 84, 413
Step-by-step explanation:
84 is the largest 2 digit because 8 is the biggest number then 4
closest to 400
could be 384 or 413 but you need to subtract to see which is closest, and it didn't say it couldn't be more than 400
413 is closer.
4. Today's deal at the ice cream shop is a mini cone with one scoop of cream . a. A mini ice cream cone has a diameter of centimeters and height of 6 centimeters . How much cream fits in the cone? b. One scoop of ice cream has the same diameter as the cone, 3.5 centimeters. What's the volume ice cream
As per given by the question,
(a) There are given that diameter of the ice cream cone is 3.5 cm, and height is 6 cm.
Now,
Ftom the formula of the volume of the ce cream.
So,
\(V=\frac{1}{3}\pi\times r^2\times h^{}\)Then,
There are given tha a diameter is 3.5,
So, Radius of the ice cream cone is,
\(\begin{gathered} r=\frac{diameter}{2} \\ r=\frac{3.5}{2} \end{gathered}\)Now,
Substitute the value in above formula,
So,
\(\begin{gathered} V=\frac{1}{3}\pi\times r^2\times h^{} \\ =\frac{1}{3}\times3.14\times(\frac{3.5}{2})^2\times6 \\ =\frac{1}{3}\times3.14\times(\frac{12.25}{4})^{}\times6 \\ =19.23 \end{gathered}\)Hence, the 19.23 cm ice cream fit in the cone.
(b). There are given that diameter of 1 scoop ice cream is 3.5 cm.
Then,
The formula of the one scoop ice cream is,
\(v=\frac{4}{3}\times\pi\times r^3\)Now,
The radius is,
\(\begin{gathered} r=\frac{d}{2} \\ =\frac{3.5}{2} \end{gathered}\)So,
\(\begin{gathered} v=\frac{4}{3}\times\pi\times r^3 \\ v=\frac{4}{3}\times3.14\times(\frac{3.5}{2})^3 \\ =\frac{4}{3}\times3.14\times5.36 \\ =22.44 \end{gathered}\)Hence, the volume of the one scoop ice cream is 22.44 cm.
What is the cause of tides on Earth?
Across what line of reflection was the angle reflected in the coordinate plane below?
Answer:
Let us revise the reflection
If point (x , y) reflected across the x-axis, then its image is (x , -y)
If point (x , y) reflected across the y-axis, then its image is (-x , y)
If point (x , y) reflected across the line y = x, then its image is (y , x)
If point (x , y) reflected across the line y = -x, then its image is (-y , -x)
∵ Point A (-5 , 8) is reflected across the line y = x
∵ If point (x , y) reflected across the line y = x , then its image is (y , x)
∵ x = -5 and y = 8
- Switch x and y
∴ The image of point A is A' = (8 , -5)
The sum of two numbers is "-1" One number is 12 more than the other one. Find the numbers.
Answer:
x = 5.5
y = - 6.5
Step-by-step explanation:
Let one of the numbers = x
Let the other number = y
x + y = - 1
x = y + 12 Put the second equation into the first one
y + 12 + y = - 1 Subtract 12 from both sides
y + y = - 1 - 12 Combine both left and right sides
2y = - 13 Divide by 2
2y/2 = - 13/1
y = - 6.5
x + y = - 1
x - 6.5 = - 1 Add 6.5 to both sides
x = 5.5
The temperature was -4° F at 1:00 AM It was 11° warmer at 2:00 PM and then dropped
back down 16° at midnight. What was the temperature at midnight?
Identify the segments that are parallel, if any, if ∠EDA≅∠HCB.
In the above question, (image attached) The option that shows the segments that are parallel, if any, if ∠EDA≅∠HCB is option A: None of these.
What is the line segment about?Note that by examining the the image if ∠EDA≅∠HCB, the two lines can never intersect even if they go a longer distance.
The reason why is that there are no parallel lines on it and as such, they cannot intercept.
Hence, In the above question, (image attached) The option that shows the segments that are parallel, if any, if ∠EDA≅∠HCB is option A: None of these.
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A man borrowed $300,000 from the bank, the bank charges 18% interest for the entire period of the loan. If repayments are 36 monthly installments. Calculate rhe amount of each installments.
To calculate the amount of each installment, we can use the formula for the present value of an annuity.
PV = (PMT / r) x [1 - (1 + r)^(-n)]
Where PV is the present value of the loan, PMT is the monthly payment, r is the monthly interest rate (which is 18% divided by 12 months), and n is the total number of payments (which is 36).
Substituting the given values into the formula, we get:
PV = 300,000
r = 0.18/12 = 0.015
n = 36
300,000 = (PMT / 0.015) x [1 - (1 + 0.015)^(-36)]
Solving for PMT, we get:
PMT = PV x r / [1 - (1 + r)^(-n)]
PMT = 300,000 x 0.015 / [1 - (1 + 0.015)^(-36)]
PMT = $11,877.64
Therefore, each installment will be $11,877.64.
I’m not really sure what it’s would be?
angle y = 130°
___________________________
WILL MARK BRAINLIEST ASAP
Answer:
4.5 is the answer to k I've done this before
Answer:
3.5
Step-by-step explanation:
19.5 divided 6.5 is 3. 16.5 divided by 5.5 is also 3. Therefore you must
divide 10.5 by 3 (in order to find K) which leads to 3.5.
A cyclist rode 3.75 miles in 0.3 hours.
How fast was she going in miles per hour?
Round your answer to the tenths (first) decimal place.
Do not include units (miles per hour) in your answer.
Answer:
Distance covered by cyclist=3.75 miles.
Time =0.3 hours.
Speed= Distance ÷Time
Speed =3.75÷0.3=12.5 miles per hour.
2) Speed = 12.5 miles per hour, Distance = 4.5 miles .
Time = Distance ÷Speed.
Time = 4.5÷12.5=0.36 hours.
Time taken to cover 4.5 miles is 0.36 hours.
Step-by-step explanation:
A fitness center piloted two new programs to help people reduce stress levels and maintain a healthy lifestyle. after one month, 112 of the 125 people who volunteered for a program in mindfulness reported a reduction in stress levels, and 110 of the 135 people who volunteered for a yoga program reported a reduction in stress levels. the fitness center wants to investigate whether there is a significant difference between the proportions of all people in the two programs who would report reductions in stress levels. have the conditions for inference been met?
Yes, all requirements have been satisfied for drawing conclusions from statistics. would note a reduction in stress. whether the prerequisites for inference are present.
Describe statistics.It is common practice to start with a statistical population or a statistical model that needs to be investigated when applying statistics to a problem in science, business, or society. The field of statistics is concerned with the collection, arrangement, organization, analysis, interpretation, and presentation of data.
The conditions for making judgments about a single proportion are Random: A random experiment or sample must have produced the data. For the sample distribution of pp with hat on top to be considered normal, there must be nearly equal numbers of expected successes and failures.
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b(n) = -8 – 2(n − 1)
Find the 9th term in the sequence.
Answer:
-24
Step-by-step explanation:
-24
The ________ symbol indicates that some condition must be tested in a flowchart.
Rectangle
Square
Oval
Diamond
Parallelogram
Answer: diamond
Step-by-step explanation:
The diamond symbol is used to indicate a condition that must be tested in a flowchart. It is used to represent a decision point, where the flow of the process will depend on the outcome of the test. The diamond symbol is typically used in conjunction with other symbols, such as arrows or ovals, to show the flow of the process.
Often, there is more than one set of sequences that will take a preimage to an image. Determine one or two other sequences to create FGHIJ from ABCDE.
Hello.
The minimum number of rigid transformations required to show that polygon ABCDE is congruent to polygon FGHIJ is 2 (translation and rotation).
A rotation translation must be used to make the two polygons coincide.
A sequence of transformations of polygon ABCDE such that ABCDE does not coincide with polygon FGHIJ is a translation 2 units down and a 90° counterclockwise rotation about point D
Have a nice day
Answer:
FGHIJ: Dilate ABCDE with respect to the origin by a scale factor of 0.5, and then rotate the image 180° clockwise about point (0, 2). Translate the image 1 unit down and 7 units to the right.
FGHIJ: Reflect ABCDE across the x-axis, and then reflect the image across the y-axis (or vice versa). Dilate the image with respect to the origin by a scale factor of 0.5. Translate the image 3 units up and 7 units to the right.