Answer:
23
Step-by-step explanation:
An integer is a whole number that can be positive, negative, or zero, without any fractional or decimal parts.
The given expressions for three consecutive integers are:
x(x + 1)(x + 2)Give that twice the first number is 20 more than the second:
\(2x = (x + 1) + 20\)
Solve this equation for x:
\(\begin{aligned}2x &= (x + 1) + 20\\2x&=x+1+20\\2x&=x+21\\2x-x&=x+21-x\\x&=21\end{aligned}\)
The expression for the largest integer is (x + 2).
Therefore, to find the largest number, substitute the found value of x into this expression:
\(\begin{aligned}\sf Largest\;number&=(x+2)\\&=21+2\\&=23\end{aligned}\)
Therefore, the largest number is 23.
In the diagram a person who is ft tall is standing on the ground ft away from point . A line segment drawn from the top corner of the building to point creates two similar triangles.
The height of the building, using similar triangles, is given by:
36 feet.
What are similar triangles?Similar triangles are two triangles that share these two features, which are listed as follows:
Same angle measures.Proportional side lengths.The second bullet point, regarding proportional side lengths, is especially relevant in the context of this problem, as a proportional relationship is built to find the height h of the building.
From the similar triangles, the equivalent side lengths are presented as follows:
3 ft and 18 ft.6 ft and h ft.Hence the proportional relationship that models this situation is presented as follows:
3/18 = 6/h.
Applying cross multiplication, the height of the building is obtained as follows:
3h = 18 x 6
h = 6 x 6 (simplifying by 3)
h = 36 feet.
Missing InformationThe diagram is given by the image shown at the end of the answer.
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How many teams are there in a tournament?
A competition in which at least three participants from the same sport or game compete is known as a tournament.
Explain about the tournament?
Tournaments, also known as tourneies, were a series of military drills that were restricted to western Europe during the Middle Ages and probably originated in France.
A tournament is a match in which there are at least three competitors who are all taking part in the same sport or game. The phrase can be used in one of two overlapping senses, which are further defined as follows: a competition or series of competitions staged at a single location over a brief period of time. Announcing a single winner among the contestants. playing strength is used to rank the players.
A tournament is a series of sporting contests in which champions advance to the next round of play until only one competitor or team is left.
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What other pair of corresponding congruent parts is needed to prove that the two triangles are congruent by ASA congruence postulate?
By another pair of sides along with pair of angles we can prove that two triangles are congruent by ASA congruence postulate.
What is ASA Congruence Postulate?
A set of triangles can be proven to be congruent using the angle-side-angle rule.
According to the ASA rule, two triangles are congruent if their two included sides and two angles are the same as those of another triangle.
Using the ASA Congruence Postulate and by considering the following image,
∠ B = ∠ Q, ∠ C = ∠ R and sides between ∠B and ∠C , ∠Q and ∠ R are equal to each other.
i.e. BC= QR.
Hence, Δ ABC ≅ Δ PQR.
Therefore, By another pair of sides along with pair of angles we can prove that two triangles are congruent by ASA congruence postulate.
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An 8-pound bag of cement costs $12.73. What is the unit price, rounded to the nearest cent?
Answer:
$1.60
Step-by-step explanation:
12.73÷8 = 1.59125
(1.59 rounded is 1.60)
Answer:
$1.59 per lb
Step-by-step explanation:
What is a "unit price" depends on the unit of interest. Unit price tags on the shelf in a store are supposed to aid a shopper in determining the best value. In the situation described here. possible unit prices are ...
cost per bag
cost per pound
__
Obviously, the cost per bag is ...
($12.73)/(1 bag) = $12.73 per bag
The cost per pound will be ...
($12.73)/(8 lb) = $1.59125 /lb ≈ $1.59 per lb
is y=7/8x proportanal
y = 7/8x shows a proportional relationship where 7/8 is the constant.
How to Identify a Proportional Relationship?A proportional relationship is a type of relationship between two variables in which the ratio of their values is constant. This means that if one variable increases, the other variable will also increase in proportion to the first.
One way to identify a proportional relationship is to look for an equation that has the form y = kx, where y and x are the two variables and k is a constant value. This equation represents a direct proportion, in which the value of y is directly proportional to the value of x.
For example, if y represents the cost of a product and x represents the number of units of the product being purchased, the equation y = 2x could represent a direct proportion, where the cost of the product is $2 per unit.
Therefore, the equation, y = 7/8x is a proportional relationship.
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A sponsor created this box and whisker plot to show the ages of the 120 people seated in the first five rows at the concert. What was the median age of the 120 people sitting in the first five rows
The median age of the 120 people seated in the first five rows of the concert was 31.
What is value?Value is an important concept in economics and business. It is the worth of goods, services, or assets that is determined by the market or by an individual. It can be measured in terms of money, time, or effort. Value is also used to describe a person’s sense of worth or importance. Values can be seen as the principles, standards, or goals that guide an individual’s actions and decisions. Ultimately, value is subjective and is held by each person and can change over time.
The box and whisker plot provided by the sponsor shows the ages of the 120 people seated in the first five rows of the concert. The box and whisker plot shows a minimum value of 18, a maximum value of 45, a median of 31, a first quartile of 24, and a third quartile of 37. This indicates that 50% of the 120 people in the first five rows had an age of 31 or below, and 50% of the 120 people had an age of 37 or above. The median age of the 120 people seated in the first five rows of the concert was 31.
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Find the area of the rectangle ABCD. I need both green and grey box please.
Answer:
180
Step-by-step explanation:
12x15=180
There is an urn containing 9 balls, which can be either green or red. Let X be the number of red balls in the urn, which is unknown. As a prior, assume that all possible values of X from 0 to 9 are equally likely. (a) One ball is drawn at random from the urn, and it is red. Compute the Bayes box to give the posterior probability distribution of X. Calculate the posterior mean of X. (b) Suppose that a second ball is drawn from the urn, without replacing the first, and it is green. Use the posterior distribution of X from part a) as the prior distribution for X and compute the Bayes box and to give the posterior probability distribution of X. Calculate the mean of X.
(a) One ball is drawn at random from the urn and it is red, so the posterior distribution of X can be found using Bayes' theorem:
P(X = x | red) = P(red | X = x) * P(X = x) / P(red)
where P(X = x) is the prior probability of X being x, P(red | X = x) is the probability of getting a red ball given that X is x, and P(red) is the total probability of getting a red ball.
Since all possible values of X from 0 to 9 are equally likely, the prior probability of X being x is P(X = x) = 1/10 for x = 0, 1, 2, ..., 9.
The probability of getting a red ball given that X is x can be calculated using the hypergeometric distribution:
P(red | X = x) = (x choose 1) * (9-x choose 8-x) / (9 choose 1)
where (x choose k) is the number of combinations of x items taken k at a time.
The total probability of getting a red ball is:
P(red) = sum(P(red | X = x) * P(X = x)) for x = 0, 1, 2, ..., 9
Using these formulas, we can find the posterior distribution of X and the mean of X:
Posterior distribution of X:
P(X = x | red) = P(red | X = x) * P(X = x) / P(red)
Mean of X:
E(X | red) = sum(x * P(X = x | red)) for x = 0, 1, 2, ..., 9
(b) Now suppose that a second ball is drawn from the urn, without replacing the first, and it is green, so the posterior distribution of X can be found using Bayes' theorem again:
P(X = x | red, green) = P(green | X = x) * P(X = x | red) / P(green)
where P(X = x | red) is the posterior distribution of X from part (a), P(green | X = x) is the probability of getting a green ball given that X is x, and P(green) is the total probability of getting a green ball.
The probability of getting a green ball given that X is x can be calculated using the hypergeometric distribution:
P(green | X = x) = (9-x choose 1) * (x choose 8-x) / (9 choose 1)
The total probability of getting a green ball is:
P(green) = sum(P(green | X = x) * P(X = x | red)) for x = 0, 1, 2, ..., 9
Using these formulas, we can find the posterior distribution of X and the mean of X:
Posterior distribution of X:
P(X = x | red, green) = P(green | X = x) * P(X = x | red) / P(green)
Mean of X:
E(X | red, green) = sum(x * P(X = x | red, green)) for x = 0, 1, 2, ..., 9
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The image of B translated using (x + 2, y + 3) would have what coordinates?
Answer:
(5, 4)
Step-by-step explanation:
(x + 2, y + 3)
Substitute x and y for that of B's position.(3 + 2, 1 + 3)
(5, 4)
Answer:
B' (5, 4 )
Step-by-step explanation:
the translation rule (x, y ) → (x + 2, y + 3 )
means add 2 to the original x- coordinate and add 3 to the original y- coordinate , then
B (3, 1 ) → B' (3 + 2, 1 + 3 ) → B' (5, 4 )
help me please. Thank u !!
can someone explain this question?
7/10 + 87/1v00
im not sure what 1v00 means. if it doesnt mean anything its prob a typo but if it does can anyone help?
Answer:
1 57/100
Step-by-step explanation:
Quick way:
Add a zero to the end of the denominator and numerator in 7/10 making it look like this:
70/100
Add the numerators of 87 and 70 together.
Result should be 157
Plug it into the denominator looking like this:
157/100
Convert to mixed fraction:
1 57/100
PLEASE HELP ASAP! I have been working on this same subject for three days & still keep getting it wrong.
Find the area of the figure. (Sides meet at right angles.)
3m
2m
5m
2m
3m
3m
3m
Answer:
\(2 \times 5 = 10 \\ 3 \times 11 = 33 \\ 10 + 33 = 43 \\ 43 {m}^{2} \)
hey please give brainly
Please help!
How do you do this?
Answer:
10 m²
Step-by-step explanation:
1. First, find the area of the bigger (shaded) rectangle
4 x 3 = 12m²
2. Then, find the area of the door (white rectangle)
2 x 1 = 2m²
3. Because you are only finding the area of the shaded section, you need to subtract the area of the door from the shaded section
12m² - 2m² = 10m²
what is the simple interest if I=1000 birr,T=5 years and p=4000 birr
Answer:
l don't understand your question
what is the probability that either event will occur?
The value of probability P (A or B) is,
P (A or B) = 19/34
We have to given that,
From the Venn diagram, we can observe that there are two events A and event B
n(A ∪ B) = 17 + 2
n(A ∪ B) = 19
And, The sample space would be,
n(S) = 17 + 2 + 15
n(S) = 34
Hence, Using the definition of probability,
P(A) = n(A) / n(S)
P (A) = 17/34
P (A) = 1/2
P(B) = n(B)/n(S)
P(B) = 2/34
P(B) = 1/17
So, We get;
P (A or B) = P (A) + P (B)
P (A or B) = 1/2 + 1/17
P (A or B) = 19/34
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Raina deposits $5000 into an account that pays simple interest at a rate of 2% per year. How much interest will she be paid in the first 2 years?
Will someone help me please! Math Isn’t my thing at all
Answer:
FCB, I think.
Step-by-step explanation:
2 angles are supplementary when they add up to 180°
In a circle, an angle measuring 2.2 radians intercepts an arc of length 34.9. Find the radius of the circle to the nearest 10th.
Answer:
xx=15.86
Step-by-step explanation:
Triangle XYZ is isosceles. The measure of the vertex angle, Y, is twice the measure of a base angle.
What is true about triangle XYZ? Select three options.
Angle Y is a right angle.
The measure of angle Z is 45°.
The measure of angle X is 36°.
The measure of the vertex angle is 72°.
The perpendicular bisector of Line segment X Z creates two smaller isosceles triangles.
Answer:
Angle Y is a right angle.
The measure of angle Z is 45°.
The perpendicular bisector of Line segment X Z creates two smaller isosceles triangles.
Step-by-step explanation:
both base angles are the same - x
angle Y is 2x
4x= 180 (angles in a triangle add to 180)
x=45
Y = 2x = 90
Answer:
Answer:
Angle Y is a right angle.
The measure of angle Z is 45°.
The perpendicular bisector of Line segment X Z creates two smaller isosceles triangles.
Step-by-step explanation:
both base angles are the same - x
angle Y is 2x
4x= 180 (angles in a triangle add to 180)
x=45
Y = 2x = 90
Step-by-step explanation:
Solve for X. Round to the nearest tenth, if necessary. Please help
Answer:
X=1.2/1.3
answérica is 1.25, depends on how you want to round
Step-by-step explanation:
PLEASE HELP 50 BRAINLY POINTS IF YOU ANSWER THIS QUESTION CORRECTLY
A probability value is listed at the top of each column. Determine the probability for each situation, then drag and drop each situation into the column under its correct probability.
The list of all probabilities from first to last are 0.5, 0.5, 0.2, 0.4, 0.5,
and 0.2.
What is probability?Probability is the chance of occurrence of a certain event out of the total no. of events that can occur in a given context.
There are a total of 6 possibilities when rolling a die and of which three are even numbers.
P(rolling an even number is) = 3/6 = 1/2 0.5.
There are two possibilities when flipping a coin,
∴ The probability of getting a head is (1/2) = 0.5.
There are a total of (1 + 1 + 3) = 5 possibilities of choosing a block out of which one is red, therefore the probability of choosing a red is = (1/5) = 0.2.
Total 10 marbles and 4 blue marbles, hence the probability of choosing a blue marble is (4/10) = 2/5 = 0.4.
There are a total of 8 balls out of which 4 are soccer balls, hence the probability of choosing a soccer ball is = 4/8 = 1/2 = 0.5.
Total 15 balls out of which 3 tennis balls hence the probability of choosing a tennis ball is = 3/15 = 0.2.
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Megan cuts pieces of colored felt to
create a logo of a sun behind a
mountain peak. Determine the
approximate total amount of felt used
in the logo.
The approximate total amount of felt used in the logo is 334.34 square cm
How to determine the approximate total amount of felt used in the logo?We have the following parameters on the logo:
Shapes = Semicircle and Triangle
Where
Semicircle:
Diameter = 18 cm
Triangle
Base = 16 cm
Height = 10 cm
The approximate total amount of felt used in the logo is calculated as
Amount = Area of semi-circle + Area of triangle
This gives
Amount = π(d/2)^2 + 0.5bh
So, we have
Amount = 3.14 * (18/2)^2 + 0.5 * 16 * 10
Evaluate
Amount = 334.34
Hence, the approximate total amount of felt used in the logo is 334.34 square cm
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Jia sells duck eggs. A customer buys 4 cartons. There are 6 eggs in
each carton. How many eggs does the customer buy in all?
Answer:24
Step-by-step explanation:
If Jia sells duck eggs and a customer buys 4 cartoons and there are 6 eggs in each cartoon that means 6(4)=Number of eggs customer buys in all
One cartoon= 6 eggs
Two cartoon = 12 eggs
Three cartoon = 18 eggs
Four Cartoon = 24 eggs
So the Customer buys 24 eggs in all
what is (1/2 + isqrt3/2)^5?
Answer:
\((\frac{1}{2}+\frac{\sqrt{3}}{2}i)^5=\frac{1}{2}-\frac{\sqrt{3}}{2}i\)
Step-by-step explanation:
Convert 1/2 + i√3/2 to rectangular form
\(\displaystyle z=a+bi=\frac{1}{2}+\frac{\sqrt{3}}{2}i\\\\r=\sqrt{a^2+b^2}=\sqrt{\biggr(\frac{1}{2}\biggr)^2+\biggr(\frac{\sqrt{3}}{2}\biggr)^2}=\sqrt{\frac{1}{4}+\frac{3}{4}}=\sqrt{1}=1\\\\\theta=\tan^{-1}\biggr(\frac{b}{a}\biggr)=\tan^{-1}\biggr(\frac{\frac{\sqrt{3}}{2}}{\frac{1}{2}}\biggr)=\tan^{-1}(\sqrt{3})=\frac{\pi}{3}\\\\z=\cos\frac{\pi}{3}+i\sin\frac{\pi}{3}\)
Use DeMoivre's Theorem
\(\displaystyle z^n=r^n(\cos(n\theta)+i\sin(n\theta))\\\\z^5=1^5\biggr(\cos\biggr(\frac{5\pi}{3}\biggr)+i\sin\biggr(\frac{5\pi}{3}\biggr)\biggr)\\\\z^5=\frac{1}{2}-\frac{\sqrt{3}}{2}i\)
so i just failed a test which somehow brought my grade from a b+ to a d how is that possible guys?!!!! im screwed and dead
Answer:
Your previous grades must have been really high and messed up your average once you failed, bringing your grade down a lot.
Step-by-step explanation:
Which equation describes the line with the slope 2/3 that passes through the given point on the graph?
Answer: y=2/3x-2
Step-by-step explanation:
Slope intercept form is: y=mx+b
m=slope
b= y-intercept
slope is 2/3
a² +6² = c²
Find the length of c:
Answer:
c = 10
Step-by-step explanation:
Hypotnuse² = base²+height²
c²= 8²+6²
c²=64+36
= 100
100 = 10²
c = 10
You're looking over your child's math homework. The directions say to
simplify the expression below. What feedback would you give your child?
Make sure to include if their answer is correct or not (1 pt) and a
description of why (1 pt). *
6x + 5x + 2y
= 11x + 2y
= 13xy
=
Your answer
Hello, hope you are having a nice day.
This answer is not correct, because we can't add different variables. For instance, if we have 11x+2y, we can't add x's and y's together.
Therefore, the correct answer would be
11x+2y
Hope it helps. Ask me if you have any queries.
~An emotional teen who helps others with joy
\(MagicalNature\)
Good luck.
Answer:
Step-by-step explanation:
The first step is the answer, so you would have gotten 100% if you just left the question there. The next step, the second step, is quite right.
If it was, then why didn't you do that in the first step?
Think of all the possibilities
60xy
10xy
12xy
10xy + 5y
12xy + 5x
There must be many more.
And yet dear one, you have only made 1 mistake. You combined xs and ys in step 2. Here's the rule.
Don't. If they were added, let them stay added. xs go with other xs. ys go with other ys. They never go together when they are added.
Suppose you select 4 skittles at random from the bowl. What is the proba- bility exactly 1 of those skittles is green
Answer:
1/4
Step-by-step explanation:
4 skittles and one being green
Answer:
4/5
Step-by-step explanation:
According to the Wrigley's Consumer Care Department, the fruit candies are produced in equal proportions— 20% of each of the five colors (green, red, orange, yellow, and purple). However, although these candies are made in equal proportions, the individual Skittles bags are filled by weight and by machines but on average I'd say 4/5 chance its a green.
assuming no employees are subject to ceilings for their earnings, calculate salaries payable and employer payroll tax expense.
Assuming no employees are subject to ceilings for their earnings IS $7,450
The computation of Salaries Payable is shown below:-
Gross Payroll $10,000
Less:
Federal income tax withheld $1,800
Social security rate at 6% -$600
Medicare rate at 1.5% -$150
Total deduction -$2,550
Salary Payable $7,450
We simply deduct three above taxes from the gross payroll so that we get to know for the salary payable amount
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