Answer:
\(y=x+0.2x\)
Step-by-step explanation:
Step one:
given data
we are told that Dillon paid $x for a haircut.
and gave a tip of 20% of the amount he paid, this is expressed as
=20/100*x
=0.2x
Let the total amount he paid, that is haircut plus tip be y
the expression for the total amount is
\(y=x+0.2x\)
here x represents the amount he paid
0.2 represents 20% of the haircut
In 2018, Gala Company repurchased its own stock at a cost of $ 57 comma 000. During the year, the company purchased land with cash for $ 119 comma 000 and issued bonds payable for $ 475 comma 000. Net cash provided by financing activities for the year would have been?
Using Cash flow Financing activities,
Net cash provided by financing activities for the year is $299,000.
Cash flow Financing:
Cash Flows from Financing Activities (CFF) is a section of a company's cash flow statement that shows the net cash flows used to finance the company. Funding activities include transactions involving debt, equity and dividends.
Formula for CFF,
CFF = CED − (CD + RP)
where:
CED --> Cash in flows from issuing equity
CD --> Cash paid as dividends
RP --->Repurchase of debt and equity
we have given that
2018, Gala Company,
Repurchased its own stock at a cost (RP)
= $ 57,000
Current year, the company purchased land (CD) =$119,000
Issued bonds payable (CED) =$475,000
pluging all known values in above formula we get,
CFF = $475,000 - ($ 57,000 + $119,000)
=> CFF = $475,000 - $176,000
=> CFF = $299,000
Hence, net cash provided by financing activities for the year is $299,000.
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Two positive numbers are in the ratio 3:7. Their difference is 52. What is the sum of the two numbers?
The two positive numbers are 39 and 91 in the ratio 3:7
What is an equation?An equation is an expression composed of variables and numbers linked together by mathematical operations.
Let x and y represent the two positive numbers. x represent the smaller while y is the larger
Two positive numbers are in the ratio 3:7, hence:
(3/10)(x + y) = x
3x + 3y = 10x
7x - 3y = 0 (1)
Their difference is 52, hence:
y - x = 52 (2)
From both equations:
x = 39, y = 91
The two numbers are 39 and 91
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What is the volume of a shoebox that is 35 cm long, 10 cm wide, and 10 cm high?
Answer:
3500 cm^3
Step-by-step explanation:
A shoebox is in the size of a cuboid
Volume of a cuboid = \(length\times width\times height\)
\(l = 35\\w = 10\\h =10\\\\V =35\times 10\times 10 \\\\Volume =3500cm^3\)
Answer: looks like they got rid of What’s your favorite anime.
Step-by-step explanation:
The chart below shows how far an object travels over a certain time.
A 3-column table with 4 rows. Column 1 is labeled Seconds with entries 4, 8, 12, 16. Column 2 is labeled Inches with entries 18, 36, 54, 72. Column 3 is labeled feet with entries 1.5, 3, blank, 6.
After 12 seconds, how far, in feet, will the object travel?
It will travel
feet.
Answer:
I had my child look for the patterns. We found the answer of 4.5. I had her add another 1.5 which gave us the number 6 in the chart to show proof to her.
Answer:
The answer is 4.5
Step-by-step explanation:
Hope this helps you/everyone :)
in a box of 20 candies, there are 8 which contain nuts. if five pieces are randomly selected and consumed what is the probability of selecting 0, 1, 2, 3, 5, 5 candies
The probability of selecting 0 candies containing nuts is 0.07776, the probability of selecting 1 candy containing nuts is 0.2592, the probability of selecting 2 candies containing nuts is 0.3456, the probability of selecting 3 candies containing nuts is 0.2304.
The number of candies containing nuts follows a binomial distribution with parameters n = 5 and p = 8/20 = 0.4, where n is the number of trials and p is the probability of success (selecting a candy containing nuts).
To find the probability of selecting 0, 1, 2, 3, 4, or 5 candies containing nuts, we can use the binomial probability formula:
P(X = k) = (n choose k) * p^k * (1-p)^(n-k)
where X is the number of candies containing nuts selected, k is the number of successes (candies containing nuts) we want to find the probability of, (n choose k) is the binomial coefficient which represents the number of ways to choose k successes out of n trials.
For k = 0, we have:
P(X = 0) = (5 choose 0) * 0.4^0 * 0.6^5 = 0.07776
For k = 1, we have:
P(X = 1) = (5 choose 1) * 0.4^1 * 0.6^4 = 0.2592
For k = 2, we have:
P(X = 2) = (5 choose 2) * 0.4^2 * 0.6^3 = 0.3456
For k = 3, we have:
P(X = 3) = (5 choose 3) * 0.4^3 * 0.6^2 = 0.2304
For k = 4, we have:
P(X = 4) = (5 choose 4) * 0.4^4 * 0.6^1 = 0.0768
For k = 5, we have:
P(X = 5) = (5 choose 5) * 0.4^5 * 0.6^0 = 0.01024
Therefore, the probability of selecting 0 candies containing nuts is 0.07776, the probability of selecting 1 candy containing nuts is 0.2592, the probability of selecting 2 candies containing nuts is 0.3456, the probability of selecting 3 candies containing nuts is 0.2304, the probability of selecting 4 candies containing nuts is 0.0768, and the probability of selecting 5 candies containing nuts is 0.01024.
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Given F(x) = 2x - 1; G(x) = 3x + 2; and H(x) = x 2, find the function F(x) + G(x) + H(x).
Answer:
if H(x) is x²
Step-by-step explanation:
\(3x + 2 + 2x - 1 + {x}^{2} = \\ 3x + 2x = 5x \\ {x}^{2} + 5x - 1\)
im not sure exactly hehe
If you drop a piece of buttered toast on the floor, is it just as likely to land buttered side up as buttered side down? It sure seems like mine always lands buttered side down! Suppose that 7 of the last 10 times I dropped toast it landed buttered side down. In order to carry out a statistical analysis, the One Proportion applet was used with 100 repetitions to see if my toast fell buttered side down a majority (more than 50%) of the time.
Statistical analysis will provide the answer to this question. In order to carry out a statistical analysis, the One Proportion applet was used with 100 repetitions to see if the toast landed buttered side down a majority (more than 50%) of the time.
When we drop a piece of buttered toast on the floor, is it just as likely to land buttered side up as buttered side down? Statistical analysis will provide the answer to this question. In order to carry out a statistical analysis, the One Proportion applet was used with 100 repetitions to see if the toast landed buttered side down a majority (more than 50%) of the time. Suppose that 7 of the last 10 times we dropped toast, it landed buttered side down. Then, we would like to know whether there is statistical evidence that the true proportion of the time the toast lands buttered side down is greater than 50%. We will use the following hypotheses: H0: p = 0.5 (the true proportion is 50%)
Ha : p > 0.5 (the true proportion is greater than 50%)
The test statistic is: z = (7 - 5) / (sqrt((0.5 * (1 - 0.5)) / 10)) = 0.89443
The p-value is: Prob(Z > 0.89443) = 1 - 0.31286 = 0.68714
Since the p-value is greater than 0.05 (or the significance level we are using), we fail to reject the null hypothesis H0. That is, we do not have enough evidence to claim that the true proportion of the time the toast lands buttered side down is greater than 50%. Hence, it seems that the toast does not follow any rules and there is no justification to say that it is just as likely to land buttered side up as buttered side down. The One Proportion applet showed no statistical evidence that the toast fell buttered side down a majority of the time. The hypothesis test failed to reject the null hypothesis H0 which suggests that the true proportion is 50%.
Therefore, No justification exists to say that it is just as likely to land buttered side up as buttered side down when we drop a piece of buttered toast on the floor. This is because the toast does not follow any rules, and statistical evidence suggests that we do not have enough evidence to claim that the true proportion of the time the toast lands buttered side down is greater than 50%. In addition, a One Proportion applet was used to test this hypothesis with 100 repetitions and found that there was no statistical evidence that the toast fell buttered side down a majority of the time. Therefore, it is uncertain how often the toast lands buttered side down.
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Write an equation in point-slope form of the line
that passes through (6,2)
Answer:
Can't answer this, need 2 points or more information
Step-by-step explanation:
You start at (8, 2). You move down 2 units. Where do you end
Answer:
(6, 2)
Step-by-step explanation:
I did this over 10 times it's so easy it is like a breeze
Answer:(-2,5)
Step-by-step explanation:
the ability to order items in a sequence, such as longest to shortest, is known as:
The ability to order items in a sequence, such as longest to shortest, is known as Seriation.
Seriation is a cognitive skill that involves arranging objects, events, or ideas in a particular order or sequence. It is a crucial aspect of cognitive development and is typically acquired during early childhood. Seriation is the ability to mentally order objects along a quantitative dimension, such as size, weight, or length.
Seriation involves comparing and ordering items based on specific criteria. For example, if given a group of objects of different lengths, a child who has developed seriation skills will be able to arrange the objects in order from shortest to longest. Similarly, if given a group of numbers, a child who has developed seriation skills will be able to arrange them in order from smallest to largest.
Seriation is an important cognitive skill that is used in various areas of life, including academic, professional, and personal domains. It allows individuals to organize information and ideas in a logical and meaningful way, which can facilitate more efficient processing and understanding of complex concepts.
Overall, seriation is a fundamental cognitive skill that plays a crucial role in various aspects of life, including problem-solving, decision-making, and organization. It is an essential skill that supports the development of higher-order thinking skills, such as analysis, evaluation, and synthesis.
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Which function is represented by the graph? f(x) = â’2|x| 1 f(x) = |x| 1 f(x) = -2|x 1| f(x) = |x 1|.
Function transformation involves changing the form of a function.
The parent absolute value function is:
\(f(x) = |x|\)
If the parent function is shifted up by 1 unit, then the equation of the function would be
\(f(x) = |x| + 1\)
If the parent function is shifted left by 1 unit, then the equation of the function would be
\(f(x) = |x + 1|\)
If the above functions are stretched horizontally by a factor of -1/2, then the new functions would be
\(f(x) = -2|x| + 1\)
\(f(x) = -2|x - 1|\)
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Solve the system by the substitution method. Be sure to check all proposed solutions. 2x-y=3 7x-3y=12
The solution to the system of equations by the substitution method is x = 3 and y = 3. The proposed solution should be checked in both equations to verify its validity.
To solve the system of equations by the substitution method, we'll start by isolating one variable in one of the equations and then substitute it into the other equation.
From the first equation, 2x - y = 3, we can isolate y:
y = 2x - 3
Substitute this expression for y in the second equation:
7x - 3(2x - 3) = 12
Simplify and solve for x:
7x - 6x + 9 = 12
x + 9 = 12
x = 3
Substitute x = 3 back into the first equation to find y:
2(3) - y = 3
6 - y = 3
-y = 3 - 6
-y = -3
y = 3
Therefore, the solution to the system of equations is x = 3 and y = 3.
To verify the solution, we can substitute these values into both original equations:
Equation 1: 2(3) - 3 = 3
6 - 3 = 3
3 = 3 (True)
Equation 2: 7(3) - 3(3) = 12
21 - 9 = 12
12 = 12 (True)
The proposed solution satisfies both equations, confirming its validity.
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20 Points and Brainliest to answer this
Solve the inequality:
-3a<9
Answer:
8(46/1^59×6=6,789 this is the answer
can someone help me with this one question pls i will give 50 points
Step-by-step explanation:
Answer: No solution
Desmos Graphing Calculator is a great way to check these things. I'm not a 100% sure on my calculations, but I know Desmos is.
why we can evaluate sin x for any x using only the interval [-2, 2].
There are a few different ways to approach this question, but one possible explanation is based on the fact that the sine function is periodic, meaning it repeats itself over certain intervals.
The sine function has a period of 2π, which means that sin(x + 2π) = sin(x) for any value of x.Now, let's consider the interval [-2, 2] and imagine that we want to evaluate sin(x) for some value of x outside of this interval. Without loss of generality, suppose that x > 2 (similar arguments can be made for x < -2). Then, we can write x as x = 2πn + y, where n is some integer and y is a number in the interval [0, 2π) that represents the "extra" amount beyond the interval of [-2, 2]. (Note that this decomposition is possible because the period of the sine function is 2π.)
Now, we can use the fact that sin(x + 2π) = sin(x) to rewrite sin(x) as sin(2πn + y) = sin(y). Since y is in the interval [0, 2π), we can evaluate sin(y) using any method that works for that interval (e.g., a lookup table, a series expansion, a graph, etc.). In other words, we can always "wrap" any value of x outside of [-2, 2] into the interval [0, 2π) using the periodicity of the sine function, and then evaluate sin(x) for that "wrapped" value.
Now, why did we choose the interval [-2, 2] in particular? One reason is that this interval is convenient for many practical purposes, such as approximating the sine function using polynomial or rational functions (e.g., Taylor series, Chebyshev polynomials, Padé approximants, etc.). These approximations often work best near the origin (i.e., when x is close to 0), and the interval [-2, 2] contains the origin while still being small enough to be computationally tractable.
Another reason is that many real-world applications that involve trigonometric functions (e.g., physics, engineering, statistics, etc.) often involve angles that are small enough to be within the interval [-2, 2] (e.g., angles in degrees or radians that are less than or equal to 180 degrees or π radians). In these cases, evaluating sin(x) within the interval [-2, 2] is often sufficient for practical purposes.
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A random variable is normally distributed. It has a mean of 213 and a standard deviation of 23. if you take a sample of size 14, can you say what the shape of the sampling distribution for the sample mean is? Why?
Yes, we can say that the shape of the sampling distribution for the sample mean will be approximately normal, even if the population distribution is not normal, due to the Central Limit Theorem (CLT).
According to the CLT, as the sample size increases, the sampling distribution of the mean tends to become normal regardless of the shape of the population distribution, as long as the sample size is sufficiently large (typically, n ≥ 30). In this case, the sample size is 14, which is less than 30, but the normality assumption can still be used as an approximation due to the fact that the population distribution is already normal.
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HELP ME ITS DUE IN 30 MINS
Step-by-step explanation:
honestly man i dont know how to help
What is the measure of the length of AB
Answer:
5
Step-by-step explanation:
AC = AB + BC
16 = x+1 + x+7
Combine like terms
16 =2x+8
Subtract 8 from each side
16-8 = 2x+8-8
8 = 2x
Divide by 2
8/2 = 2x/2
4 =x
We want to find AB
AB = x+1 = 4+1 = 5
the three inside angles are(A,B and C) of a right-angled triangle are the ratio 7:18:11. The smallest abbé is 35 degrees. Work out angle A,B and C
Answer:
a
Step-by-step explanation:
Answer:
it is b i believe this this this this this thsidjcbd dbchf f f f f f f. f f r r f f f f f
Step-by-step explanation:
A certain paint is to be mixed with 3 parts yellow to 2 parts blue. What is the ratio of yellow paint to the total amount of mixed paint
The ratio of yellow paint to mixed paint is 3/5.
What are ratio and proportion?A ratio is a comparison or relationship between two amounts of the same quantity to determine how much larger one number is than the other. Where b is not equal to zero, it is written as a/b or a: b. An equality of two ratios is a proportion. In order to write equivalent ratios, proportions are used, which aids in resolving the unknown quantities. As an illustration, a proportion is written as a: b = c: d.
Solution:-
Given,
Amount of yellow paint=3
Amount of blue paint=2
Ratio=yellow paint/total mixed paint
Ratio=3/(3+2)
Ratio=3/5
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which is more , 1 gallon or 7 pints ,
a. 1 gallon
b. 7 pints
c. nethier ; they are equal
Answer:A
Step-by-step explanation: 1 Gallon is equal to 8 pints.
Answer:
A
Step-by-step explanation:
pint=1/8 of a gallon
therfor 7 pints = 7/8
7/8<1gal
can someone please help answer this, thank you, will give brainliest once i can, just please no spam answers, thank you!
Answer:
t=1p
Step-by-step explanation:
this problem is fairly easy. we will first do is set the equation to equal t also known as the total price. this is because you were trying to determine how much you will have to pay if she buys her food in bulk. you will then equal t to how much it will cost if the food is in bulk. to do this you will multiply 1 (this next she wants to buy weighs 1 kg) and multiply it by p (price per kilogram). Hope this helps!
What is the equation of a circle with center (- 2, 3) and radius 4?
Answer:
(x+2)^2+(y-3)^2=16
Step-by-step explanation:
equation of a circle ( x - h )^2 + ( y - k )^2 = r^2
[x-(-2)]^2+(y-3)^2=4^2
(x+2)^2+(y-3)^2=16
Let 0° < α < 90°
Given: sin α =5/13
Find: cos α and tan α
Answer:
Step-by-step explanation:
\(cos\alpha =\sqrt{1-sin^{2} \alpha } =\sqrt{1-(\frac{5}{13})^{2} } =\sqrt{\frac{144}{169} }\)
=\(\frac{12}{13}\)
\(tan\alpha =\frac{sin\alpha }{cos\alpha } =\frac{\frac{5}{13} }{\frac{12}{13} } = \frac{5}{12}\)
At 99°F, a certain insect chirps at a rate of 68 times per minute, and at 105°F, they chirp 80 times per minute. Write an equation in slope-intercept form that represents the situation.
Answer:y=mxb
Step-by-step explanation:
Answer:
The equation is: y = 5x - 268
The grass in Jamie's yard grew 16 centimeters in 10 days. It was growing at a constant rate.How many days did it take the grass to grow 1 centimeter?How many centimeters did the grass grow in 1 day
Answer:
Step-by-step explanation:
16 cm / 10 days = 1.6 cm/day
10 days / 16 cm = 0.625 days/cm
Rewrite the function f(x) = -2(x+2)²-11 in the form f(x) = ax²+bx+c.
X
S
Answer:
\(\displaystyle{f(x)=-2x^2-8x-19}\)
Step-by-step explanation:
Given the vertex equation:
\(\displaystyle{f(x)=-2(x+2)^2-11}\)
First, apply the perfect square formula, expanding to standard form:
\(\displaystyle{f(x)=-2(x^2+4x+4)-11}\)
Expand -2 in:
\(\displaystyle{f(x)=-2x^2-8x-8-11}\)
Evaluate or simplify:
\(\displaystyle{f(x)=-2x^2-8x-19}\)
Hence,
\(\displaystyle{f(x)=-2x^2-8x-19}\)
Answer:
\(\huge\boxed{\sf f(x) = -2x\² - 8x - 19}\)
Step-by-step explanation:
Given function:f(x) = -2(x + 2)² - 11
Using formula: (a + b)² = a² + 2ab + b²f(x) = -2[(x)² + 2(x)(2) + (2)²] - 11
f(x) = -2(x² + 4x + 4) - 11
Distribute
f(x) = -2x² - 8x - 8 - 11
f(x) = -2x² - 8x - 19\(\rule[225]{225}{2}\)
can someone please make a word problem for this I have no idea what to do
Answer: The ans is always c
Step-by-step explanation:
Please help me with this problem
Answer: D) \(m \angle 2 = m\angle 5\)
================================================
Explanation:
Let's go through the answer choices to see what's true and what's false.
A) This is true because they are corresponding angles. Corresponding angles are congruent when we have parallel lines.B) This is true as well. The reasoning is the same as choice A.C) These angles are vertical, so they are congruent angles. This is true.D) This is false. The angles are supplementary. They would only be congruent if both angles were 90 degrees; otherwise, they aren't congruent.