Answer:
it is either 2^n+5 or n²+5
Step-by-step explanation:
I'm not one hundred percent sure
What is the area of the triangle?
Answer:140
Step-by-step explanation:
Answer:
10
Step-by-step explanation:
a vacuum cleaner is marked to sell for Rs 12000 after 12% discount is given and then vat is added if the customer paid Rs 12144 ,what is the rate of vat
The rate of VAT on the vacuum cleaner is 15%
How to determine the rate of VAT?The given parameters are:
Selling price = Rs 12000
Discount = 12%
Amount Paid = 12144
The amount paid is calculated as:
Amount Paid = Selling Price * (1 - Discount) * (1 + VAT)
So, we have
12144 = 12000 * (1 - 12%) * (1 + VAT)
Evaluate the difference
12144 = 12000 * 0.88 * (1 + VAT)
Evaluate the product
12144 = 10560 * (1 + VAT)
Divide both sides by 10560
1.15 = (1 + VAT)
Subtract 1 from both sides
VAT = 0.15
Express as percentage
VAT = 15%
Hence, the rate of VAT on the vacuum cleaner is 15%
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Let t* be the critical value such that probability of being greater than t* is 1%. Hence, the required critical value is ____________ .
In the given case, the required critical value is 2.485.
To find the critical value t* for a t-distribution with a sample size of 26 and a probability of 1% for values greater than t*, we need to consider the degrees of freedom (df) and the given tail probability.
In this case, the degrees of freedom (df) will be equal to the sample size minus 1, which is 26 - 1 = 25. The tail probability is given as 1%, which is equal to 0.01.
To find the critical value t*, you can use a t-distribution table or calculator. Look for the value at the intersection of the row with 25 degrees of freedom and the column corresponding to a tail probability of 0.01. Using a t-distribution table or calculator, the critical value t* is approximately 2.485. Therefore, the required critical value is 2.485.
Note: The question is incomplete. The complete question probably is: What is the value of t*, the critical value of the t distribution for a sample of size 26, such that the probability of being greater than t* is 1%? The required critical value is ____________ .
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Problem 1.2 reading graphs and tables.
Problem 1.2 in reading graphs and tables is about understanding how to interpret data that is presented in visual form. In order to effectively read graphs and tables, it is important to understand the type of data that is being presented and the purpose of the graph or table.
Graphs are visual representations of data that can show trends, patterns, and relationships. Tables are also useful tools for presenting data, especially when dealing with numerical values.
One of the key skills in reading graphs and tables is to be able to identify the main features of the data. This can include the axes, the labels, and the data points themselves. For example, a line graph might show the relationship between two variables over time. The x-axis would typically represent time, and the y-axis would represent the variable being measured. By examining the data points on the graph, it is possible to see trends and patterns that might not be immediately apparent from looking at the raw data.
Tables can also be useful for presenting data, particularly when dealing with numerical values. Tables typically have rows and columns, with each row representing a different observation and each column representing a different variable. Tables can be useful for comparing different observations or variables, or for displaying summary statistics such as means, medians, or standard deviations.
Overall, reading graphs and tables requires careful attention to detail and an understanding of the underlying data. By being able to interpret the data in these visual forms, it is possible to gain valuable insights into patterns and relationships that might not be immediately apparent from looking at the raw data.
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[1-4] Use the diagram. X is the midpoint of UV. Y is the midpoint of UW
We have the following:
\(undefined\)9.
3
Here is a recipe for making 10 chocolate chip cookies.
Chocolate Chip Cookies
Makes 10 cookies.
100 g of flour
60 g of sugar
50 g of margarine
40 g of chocolate chips
g
2 eggs
Work out the amounts needed to make 15 chocolate chip cookies.
Answer:
you will half the recipe, so
50g flour
30g sugar
25g margarine
20g chocolate chips
1 egg
then add together. recipe for 15 cookies will be;
150g flour
90g sugar
75g margarine
60gr chocolate chips
3 eggs
Verify each identity. Give the domain of validity for each identity. sin θsecθ=tan θ
The identity sin θ sec θ = tan θ is true for all values of θ except for the values where cos θ = 0.
To verify the identity sin θ sec θ = tan θ, we need to simplify the left-hand side (LHS) and the right-hand side (RHS) and show that they are equal.
LHS = sin θ sec θ
= sin θ (1/cos θ)
= sin θ/cos θ
= tan θ
RHS = tan θ
Since LHS = RHS, we can conclude that the identity sin θ sec θ = tan θ holds true.
The domain of validity for this identity is all real numbers θ except for the values where cos θ = 0. At those values, the expression sec θ is undefined.
The identity sin θ sec θ = tan θ is verified to be true for all values of θ except for the values where cos θ = 0.
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Kendrick attends a private school where he must wear a uniform. Last year, the price of the uniform was $52. This year's uniform price was $65. What is the percent of increase in the cost of the uniform?
The percent increase in the cost of the uniform from last year to this year is 25%.
What is the percent of increase in the cost of the uniform?To find the percent increase in the cost of the uniform from last year to this year, we need to calculate the difference between the two prices, divide it by the original price, and then multiply by 100 to express the result as a percentage.
The difference between this year's price and last year's price is:
$65 - $52 = $13
The original price (last year's price) is $52.
So the percent increase in the cost of the uniform is:
percent increase = (difference / original price) x 100
percent increase = ($13 / $52) x 100
percent increase = 0.25 x 100
percent increase = 25%
Therefore, the percent increase in the cost of the uniform from last year to this year is 25%.
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Dave borrowed $600 on January 1,2022 The bonk charged him a $6.40 service charge, and interest was $44.90 if Dave paid the $600 in 12 equal monthiy payments, what was the APR? Note: Do not round intermediate calculations. Enter your answer as o percent rounded to 1 decimal place. Dorothy lacks cash to pay for a 5840.00 dishwasher. She couid buy it from the store on credit by making 12 monthly poyments of $7125. The totat cost would then be $855.00 instead. Dorothy decides to deposit $70.00 a month in the bank until the has saved enough money to pay cash for the dishwasher, One year later, she has saved $898.80−584000 in deposits plus interest When she goes back to the store, she finds the dishwasher now costs $90888 its price has gone up 820 percent. Was postponing her purchase a good trade-off for Dorothy?
The increase in price (8.20%) is less than the interest she would have paid (12 payments of $7125), it seems that postponing her purchase and saving money was a good trade-off for Dorothy.
The APR (Annual Percentage Rate) for Dave's loan can be calculated
using the formula:
APR = ((Total interest + Service charge) / Principal) * 100
In this case, the total interest is $44.90 and the service charge is $6.40.
The principal is $600. Plugging these values into the formula:
APR = (($44.90 + $6.40) / $600) * 100
Simplifying the equation:
APR = ($51.30 / $600) * 100
APR = 8.55%
For Dorothy, if she bought the dishwasher on credit, the total cost would
be $855.00 after making 12 monthly payments of $7125.
However, if she saved $70.00 a month for one year, she would have
$898.80 in deposits plus interest.
When she goes back to the store, the dishwasher now costs $908.88,
which is an increase of 8.20%.
Since the increase in price (8.20%) is less than the interest she would
have paid (12 payments of $7125), it seems that postponing her purchase
and saving money was a good trade-off for Dorothy.
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What is the answer to 22.4 x 1.73
Answer:
38.752
Step-by-step explanation:
11(7+9) using distributive property
Answer:
176
Step-by-step explanation:
Apply PEMDAS
Solve the parenthesis first
11 ( 7 + 9 )
11 ( 16 )
Now open the parenthesis and you will have your answer
11 times 16
176
Please help I put 50 points
Answer:
output = input - equation
y = x - 7
so 7 is your correct equation!!
Step-by-step explanation:
as u can see
When input x is subtracted from output y, we are getting answer 7
like here
imma gonna tell u how 7 is came
1-8=7
2-9=7
3-10=7
4-11=7
so 7 is our equation
its just a explanation okay
so we get our solution
•°• Y = X - 7
hope it may help you!!
mark as brainlist
Mars is extremely far from the Earth. Scientists estimate that it could take astronauts 245 days to travel from Earth to Mars. This is more than half of a year! Suppose astronauts travel to Mars when the distance between Earth and Mars is 108 million miles. If the trip takes 245 days, on average, how many miles would be traveled each day? In your calculator, write the large number as a multiple of a power of 10 to compute the answer. Round to the nearest mile.
Answer:
Step-by-step explanation:
We would liken the given scenario to distance speed and time relationship. The formula for determining average speed is
Total Distance/ total time
Since the distance between Earth and Mars is 108 million miles(108 × 10^6) the trip takes 245 days, then on average, the number of miles that the astronauts would travel each day would be
108 × 10^6/245 = 440816 miles per day
Writing in powers of 10, it becomes 4.4 × 10^5 miles per day
Rounding to the nearest whole number, it becomes 4 × 10^5 miles per day
From Belmont, how much farther is it to riverside than yardley?
On solving the provide question, based on the congruent triangles properties, we got to know that x= 76° and 90°.
what are congruent triangles?Congruent triangles are two triangles that are identical in terms of their size and form. The two congruent triangles remain congruent whether you rotate, flip, or flip one of them. If two triangles have the same number of sides, then their angles and congruence must match.
As a result, we can determine that two triangles are congruent if all three of their sides are equal. We also understand that if there is a side, an angle between the sides, and a third side that is congruent, the three sides are congruent. which means sides, corners, and sides.
For green -
=> x = 76° ( both side are same)
For orange -=> x = 90°
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this one is super hard
We will solve a follows:
\(\log _2(512)=x\Rightarrow x=9\)***Explanation of the procedure using change of base for a logarithm***
\(\log _a(n)=\frac{\log _b(n)}{\log _b(a)}\)So:
\(\log _2(512)=\frac{\log(512)}{\log(2)}=9\)140 apples increased by 45%
Answer:
The answer is 196 apples
Step-by-step explanation:
Michelle bought 2 teddy bears and 3 flower vases for $27 in a shopping mall. Shannon bought 3 teddy bears and 2 flower vases for $30.5 from the same mall. what is the cost of the flower vase?
Answer:
$4
Step-by-step explanation:
let t represent teddy bear and v represent vase, then
2t + 3v = 27 → (1)
3t + 2v = 30.5 → (2)
Multiplying (1) by 3 and (2) by - 2 , then adding will eliminate t, that is
6t + 9v = 81 → (3)
- 6t - 4v = - 61 → (4)
Add (3) and (4) term by term to eliminate t, that is
5v = 20 ( divide both sides by 5 )
v = 4
The cost of the flower vase is $4
Answer:
It is going to be $4.00
Step-by-step explanation:
Hope this helped have an amazing day!
Solve for the area of this triangle, explanation would be greatly appreciated!
9514 1404 393
Answer:
13√731 ≈ 351.48 cm²
Step-by-step explanation:
When given three sides of a triangle, there are a number of ways that the area may be calculated. Perhaps the most straightforward is the use of Heron's formula.
Where s is the semi-perimeter, the area is given by ...
A = √(s(s -a)(s -b)(s -c)) . . . . . . . . s = (a+b+c)/2
Here, the value of s is ...
s = (30 +30 +26)/2 = 43
A = √(43(13)(13)(17)) = 13√(43·17)
A = 13√731 ≈ 351.48 . . . . . square centimeters
_____
Additional comments
This triangle is isosceles, so the altitude can be found from the Pythagorean theorem:
h² +13² = 30²
h = √(900 -169) = √731
Then the area is ...
A = (1/2)bh = (1/2)(26 cm)(√731 cm) = 13√731 cm²
__
You can also find one of the angles using the Law of Cosines, then find the area from ...
Area = (1/2)a·b·sin(C) . . . . . . for any two sides a, b, and enclosed angle C
__
Ultimately, all of these methods are equivalent to Heron's formula.
PLEASE HELLPP I WILL MARK BRAINLYLIST
Answer:
3
Step-by-step explanation:
divide one side of the bigger triangle by the corresponding side of the smaller one
Answer:
3
Step-by-step explanation:
Divide the bigger triangle by the little one
3/1=3
then 12/4=3
Find the median.......
Answer:
(i) mean: 5.4 median: 5.5 mode: 8
(ii) mean: 4.6 median: 5 mode: 5
(iii) mean: 17.5 median: 4 mode: 4
Step-by-step explanation:
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Dennis, Edwin and Fred had 360 erasers in total. Edwin won some erasers from Dennis. As a result, he had thrice as many erasers as before. Fred then won some erasers from Edwin and Fred's erasers increased by 10%. Finally, Fred lost some of his erasers to Dennis and Dennis's erasers increased by 60%. In the end, they realized they each had an equal number of erasers. How many erasers did Edwin have at first?
The details of the question indicates relationship equations from which the number of erasers Edwin had at first, is 45 erasers
What is an equation?An equation is a statement of equivalence between expressions.
The number of erasers they each finally had = 360/3 = 120
The number of erasers Dennis had before Fred lost sum erasers to him, x is therefore;
1.60·x = 120
x = 120/1.6 = 75
The number of erasers Fred lost to Dennis = 120 - 75 = 45
Let a, represent the number of erasers Dennis initially had, and let b, represent the number of erasers, Edwin initially had, and let c represent the number of erasers Fred had, we get;
a + b + c = 360
The number of erasers Edwin won from Dennis = 2·b
The number of erasers Dennis then had = a - 2·b
The number of derasers Fred won from Dennis = 0.1·c
The number of erasers Fred then had = 1.1·c
a - 2·b = 75
1.1·c - 45 = 120
c = (120 + 45)/1.1 = 150
a - 2·b = 75...(1)
a + b + 150 = 360
a + b = 360 - 150 = 210
a + b = 210...(2)
a - 2·b = 75
Subtract equation (1) from equation (2), we get;
b - (-2·b) = 210 - 75 = 135
3·b = 135
b = 135/3 = 45
a + 45 + 150 = 360
a = 360 - (45 + 150) = 165
a = 165
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in a class, there are 18 girls and 14 boys. if the teacher selects two students at random to attend a party with the principla, what is the probabilt
The probability that the two students are of the Opposite gender is 0.508
It is given that there are a total number of 32 students of which 18 are girls and 14 are boys. Let us assume that the Probability of getting a girl is indicated by P(G) and the probability of getting a boy is indicated by P(B).
Probability of getting a Girl and a boy = P(GB)
Probability of getting a boy and a girl = P(BG)
Sampling will be done without replacement
Now, the probability of getting two students of the opposite gender can be determined by:
=> P(GB) + P(BG)
First, we will find P(GB)
=> P(GB) = P(G) + P(B)
=> P(GB) = (18/32) + (14/31)
=> P(GB) = 0.2540
Similarly, for P(BG)
=> P(BG) = P(B) + P(G)
=> P(BG) = (18/32) + (14/31)
=> P(BG) = 0.2540
we will find out the probability of selecting two students by
=> P(GB) + P(BG)
=> 0.2540 + 0.2540
=> 0.508
Hence, the probability of selecting two students at random of the opposite gender will be 0.508
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Complete Question:
In a class, there are 18 girls and 14 boys. If the teacher selects two students at random to attend a party with the principal, what is the probability that the two students are the opposite gender?
If Paula divides her pencils among three friends and herself, everyone gets the same number of pencils. If Paula divides her pencils among
five friends and herself, everyone will get the same number of pencils.
How many pencils could Paula have?
A 28
B. 30
C. 42
D. 48
-6a + 24b - (9b-a)
I have to combine like terms
Answer:
-5a+15b
Step-by-step explanation:
\(-6a + 24b - (9b-a)\\\\=-6a+24b-(9b)-(-a)\\\\=-6a+24b-9b+a\\\\=(-6a+a)+(24b-9b)\\\\=-5a+15b\)
What is the perimeter 2x+3 as length and x-6 as width
What is the perimeter 2x+3 as length and x-6 as width
P = 2L + 2W
P = 2(2x+3)+2(x-6)
P = 4x+6 + 2x - 12
P = 6x - 6
#CarryOnLearning#LearningIsFunAnswer:
\(perimeter = 2(l + b) \\ = 2(2x + 3 + x - 6) \\ = 4x + 6 + 2x - 12 \\ = 6x - 6\)
A surf shop makes $150 per surfboard sold and $100 per wake board sold. the shop owner make no more than 50 surfboards and 50 wake boards per month (due to the number of employees he has). he wants to make at $3000 a month. show all the possible combinations of surfboards and wake boards that the store owner needs to sell to meet his goals. then list two possible combinations.
(a) The inequality equations for the given shop are x + y ≤ 50 denotes the number of wakeboards and surfboards combined (no more than 50) and 150x + 100y ≥ 3000 denotes the earnings of the shop.
What is an inequality equation?An inequality equation is the mathematical representation of two expressions comparatively related to each other. I.e., In the inequality equation, unlike the normal equation, the expressions are not always equal but they are either less or more.
Given,
The price for a surfboard is $150 and the price for a wakeboard is $100.
Consider the number of surfboards = x and the number of wakeboards = y.
The shop owner is only permitted to produce a total of 50 wakeboards and surfboards.
So, we can write this as
x + y ≤ 50....(1)
He wants to make at least $3000 a month. So, we can write this as
150x + 100y ≥ 3000....(2)
Thus, the two inequality equations form a system of inequalities.
When they graphed, we get the possible combinations of the number of surfboards and the number of wakeboards.
The graph for the obtained inequalities is shown in the figure below.
From the graph, we can choose any of the combinations that are in the intersection of both graphs of the system.
Here, take (10, 40) and (30, 20) coordinates that are considered from the intersecting area of both inequalities.
Therefore, the possible combinations of surfboards and wakeboards that he need to sell to make at least $3000 are
10 surfboards + 40 wakeboards
or
30 surfboards + 20 wakeboards
(There are some more combinations we can get from the graph).
(b) The two possible combinations of wakeboard and surfboard are:
10 surfboards and 40 wakeboards i.e., 10 + 40 ≤ 50 and
30 surfboards and 20 wakeboards i.e., 30 + 20 ≤ 50
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Solve |4x +3| < 5
I’m stuck on this question
Answer:
x < 1/2
x > -2
Step-by-step explanation:
We know that 4x + 3 < 5 and 4x + 3 > -5
4x + 3 < 5
~Subtract 3 to both sides
4x < 2
~Divide 4 to both sides
x < 2/4 or x < 1/2
4x + 3 > -5
~Subtract 3 to both sides
4x > -8
~Divide 4 to both sides
x > -2
Best of Luck!
A recipe for 1 batch of cookies calls for 1 cups of flour. How many cups of flour are needed
for 3 batches?
4 cups
3 cups
6 cups
4 cups
Dans
Answer:
3 Cups of flour
Step-by-step explanation:
1 batch of cookies = 1 cup of flour
2 batch of cookies = 2 cups of flour
3 batch of cookies = 3 cup of flour
I hope i helped you :)
Which statement concerning the binomial distribution is correct? o Its CDF is skewed right when II <0.50
o Its CDF shows the probability of each value of X. o Its PDF covers all integer values of X from 0 to n. I
o ts PDF is the same as its CDF when π = 0.50
The statement concerning the binomial distribution that is correct is: "Its CDF shows the probability of each value of X."A binomial distribution is a probability distribution that describes the probability of k successes in n independent Bernoulli trials, where p is the probability of success in any one trial. The probability density function (PDF) of the binomial distribution is given by: P (X = k) = (n k)pk(1−p)n−k, Where X is the random variable representing the number of successes, p is the probability of success, and n is the number of trials. The cumulative distribution function (CDF) of the binomial distribution, on the other hand, gives the probability of obtaining a value less than or equal to x. Therefore, the correct statement concerning the binomial distribution is: "Its CDF shows the probability of each value of X. "Option A, "Its CDF is skewed right when π < 0.50," is incorrect because the skewness of the binomial distribution depends on both n and p, not just p. Option C, "Its PDF covers all integer values of X from 0 to n," is also incorrect because the binomial distribution only covers integer values of X from 0 to n, not necessarily all of them. Finally, option D, "Its PDF is the same as its CDF when π = 0.50," is incorrect because the PDF and CDF of the binomial distribution are different for any value of p, not just when p = 0.50.
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Geoffrey draws a triangle. One of the angles measures 75° and one of the angles measures 40°. What is the measure of the third angle?
A. 180°
B. 115°
C. 105°
D. 65°
Answer:
D) 65°
Step-by-step explanation:
Remember, all the angles of a triangle are 180 degrees and 75 + 40 + 65 = 180 degrees. Please if you can, support my channel. In the images you can find the information ;)