Answer:
v = 72
Step-by-step explanation:
If the length of both the sides are 12, it means it is an Isosceles triangle which means 2 sides of a triangle are equal. If both sides are equal then both angles will be equal too.
54 and 54
54 + 54 + v = 180
108 + v = 180
v = 72
Find p(-1) and p(2) for p(x)=4-3x
Answer:
p(-1) = 7
p(2) = -2
Step-by-step explanation:
We have p(x) = 4 - 3x
p(-1) = 4 - 3(-1) = 4 + 3 = 7
p(2) = 4 - 3(2) = 4 - 6 = -2
Write a translation rule that maps point D(7, -3) onto point D'(2, 5)
Answer:
Step-by-step explanation:
We are given D (7, -3) and D'(2, 5).
the transformation
D'(x,y) → D(x-5, y+8).
Then
x=7 → x=7-5 = 2
y=-3 → y=-3+8 = 5
Answer:
y=-3 --> y=-3+8 = 5
have a fangtastic day <3
Step-by-step explanation:
find the largest prime number that divides the quantity $0! (1!) \times 1 (2!) \times 2 (3!) \times 3 \cdots (50!) \times 50$.
The largest prime number that divides the given expression is 229.
Largest Prime Factor of 50!We can factorize the given expression as follows:
\($0! \times 1 \times 1! \times 2 \times 2! \times 3 \times 3! \times \cdots \times 50! \times 50$\)
Now, we can cancel out all the factorials from both sides, leaving us with:
\($1 \times 1 \times 2 \times 2 \times 3 \times 3 \times \cdots \times 50 \times 50$.\)
The largest prime factor of any composite number is the largest prime factor of its prime factorization. By the fundamental theorem of arithmetic, we know that the prime factorization of any composite number is unique.
The prime factorization of a number can be found by dividing the number by prime numbers and keeping dividing the quotient by prime numbers until the quotient is prime.
Now, we can start dividing the given number (the product of all numbers from 1 to 50) by the smallest prime number, 2, and keep dividing the quotient by the next prime number until the quotient is prime.
The largest prime factor of the given expression is the largest prime factor of the final quotient.
The final quotient is
\(2^{24} \times 3^{12} \times 5^9 \times 7^7 \times 11^5 \times 13^4 \times 17^3 \times 19^3 \times 23^2 \times 29^2 \times 31^2 \times 37^2 \times 41^2 \times 43^2 \times 47^2 \times 53^2 \times 59^2 \times 61^2 \times 67^2 \times 71^2 \times 73^2 \times 79^2 \times 83^2 \times 89^2 \times 97^2 \times 101^2 \times 103^2 \times 107^2 \times 109^2 \times 113^2 \times 127^2 \times 131^2 \times 137^2 \times 139^2 \times 149^2 \times 151^2 \times 157^2\)
\(\times 163^2 \times 167^2 \times 173^2 \times 179^2 \times 181^2 \times 191^2 \times 193^2 \times 197^2 \times 199^2 \times 211^2 \times 223^2 \times 227^2 \times 229^2$\)
The largest prime factor of the final quotient is the largest prime factor of the prime factorization, which is 229.
So the largest prime number that divides the given expression is 229.
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Rewrite the following expression using exponents
1/16
Answer:
6.25 * 10^-2
Step-by-step explanation:
hmmmmmmmmm
After eating dinner at a restaurant your bill was $56. You plan to leave a 20% tip. What will your total cost be? (Hint: find the tip amount first).
i need the answer soon!!
Answer: $67.20
Step-by-step explanation:
56 × 0.2 = 11.2
11.2 + 56 = $67.20
A scale drawing of a school playground in the shape of a rectangle is shown. What is the area in square meters of the playground
Answer:
b
Step-by-step explanation:
8×19= 152
1 : 4.5
152×4.5=684
Select all the equations that represent functions that are non-linear.
A. y = x
B. 2y = 1/2x
C. y = 8 + x
D. y - 6 = x^2
E. y= 1/3-5x
F. y= 2x^2 + 5 - 3x^2
Answer:
D, F.
Step-by-step explanation:
D and F contain x^2.
How do I solve this problem
Answer:
multiply all side than add the x
Step-by-step explanation:
Simplify until you have only positive exponents
Answer:
\(\frac{8x^6y^2z^3}{y^8z^3}\)
Step-by-step explanation:
Very complicated of you need steps, comment my answer and I will respond.
What is the speed in m/s of a car that travels 30 km in 20 m?
Answer:
25m/s
Step-by-step explanation:
distance = 30km = 30× 1000m
time = 20 min = 20 × 60 = 1200sec
we know,
speed = distance/time taken
= 30000/1200
= 25m/s
there are 500 students in tim's high school. 40% of the students are taking spanish. how many students are taking spanish?
Answer:
200 students
--------------------
40% out of 500 students taking Spanish.
Find it in number:
40/100 * 500 = 40*5 =200What is the probability of drawing an even numbered card, keeping it, and then drawing another even numbered card from a stack of 24
cards numbered 1 to 247
Oct
O
С C
46
Answer: 1/4
Step-by-step explanation:
In a stack of 24, the 2 mediums are odd and even cards in this question. This means that 1/2 the cards are even and 1/2 are odd. To get a even card once is a 1/2 chance, then to get it again is 1/2 x 1/2 chance or 1/4 chance. This is what I think.
what is the slope on the line ?
please help me.
Answer:
4/7
Step-by-step explanation:
you go to the right 4 times then up 7
a research organization reported that 41 percent of adults who were asked to describe their day responded that they were having a good day rather than a typical day or a bad day. to investigate whether the percent would be different for high school students, 600 high school students were randomly selected. when asked to describe their day, 245 students reported that they were having a good day rather than a typical day or a bad day. do the data provide convincing statistical evidence that the proportion of all high school students who would respond that they were having a good day is different from 0.41 ?
Answer: Yes.
Step-by-step explanation:
600 x 0.41 or 41% = 246, which yes is different from 0.41.
Prove that the two triangles are congruent. Be sure to include each step in the proof.
Triangle ABC and triangle DEF are congruent, according to the Side-Angle-Side (SAS) postulate.
Congruent Sides Angles: What Are They?If the matching sides and angles of two triangles are the same length, then the triangles are said to be congruent. Congruent sides angles are what these are called.
Triangle ABC must be shown to be congruent with triangle DEF.
By demonstrating that the two triangles have a single pair of congruent sides, we can get started. We can observe that AB and DE are both 6 cm long.
The congruent angle between the two triangles can be demonstrated. As BAC and EDF are both right angles, we can see that they are equivalent.
Thus, according to the Side-Angle-Side (SAS) hypothesis Triangle ABC is consistent with triangle DEF, we can say.
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In a sample of 28 participants, suppose we conduct an analysis of regression with one predictor variable. If Fobt= 4.28, then what is the decision for this test at a .05 level of significance?A) X significantly predicts Y.
B) X does not significantly predict Y.
C) There is not enough information to answer this question.
In a sample of 28 participants, suppose we conduct an analysis of regression with one predictor variable. If Fobt= 4.28, then the decision for this test at a .05 level of significance is there is not enough information to answer this question, option C.
To determine the decision for a regression analysis with one predictor variable at a 0.05 level of significance, we need to compare the observed F-statistic (Fobt) with the critical F-value.
Since the degrees of freedom for the numerator is 1 and the degrees of freedom for the denominator is 26 (28 participants - 2 parameters estimated), we can find the critical F-value from the F-distribution table or using statistical software.
Let's assume that the critical F-value at a 0.05 level of significance for this test is Fcrit.
If Fobt > Fcrit, then we reject the null hypothesis and conclude that X significantly predicts Y.
If Fobt ≤ Fcrit, then we fail to reject the null hypothesis and conclude that X does not significantly predict Y.
Since the information about the critical F-value is not provided, we cannot determine the decision for this test at a 0.05 level of significance. Therefore, the correct answer is C) There is not enough information to answer this question.
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What is the solution to the system of equations?
y=0.7x−2
2x+y=25
(15, 8.5)
(10, 5)
(3, 0.1)
Answer:
b num i think only not sure
Solution to the system of equation y = 0.7x − 2 and 2x + y = 25 is (- 27, - 9).
What is a linear equation?A linear equation is an algebraic equation of degree one. In general, the variable or the variables(in the case of a linear equation in two variables) the variables are x and y.
Given are two equations y = 0.7x − 2 and 2x + y = 25.
Now let us write these equations in a similar manner.
y = 0.7x − 2 ⇒ - 0.7x + y = - 2...(i)
2x + y = 25...(ii)
Now subtracting eqn(i) from eqn(ii) to cancel out the term y we get
2.7x = - 27.
x = - 10 and substituting the value of x in any one of the equations we get
y = 0.7(-10) - 2.
y = - 7 - 2.
y = - 9.
So, one of the solutions to the system of equations is (- 27, - 9).
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A running track has two semi-circular ends with radius 31m and two straights of length 92.7m as shown.
Calculate the total area of the track rounded to 1 DP.
Answer:
Step-by-step explanation:
To find the total area of the track, we need to calculate the area of each section and then add them together.
Area of a semi-circle with radius 31m:
A = (1/2)πr^2
A = (1/2)π(31m)^2
A = 4795.4m^2
Area of a rectangle with length 92.7m and width 31m (the straight parts):
A = lw
A = (92.7m)(31m)
A = 2873.7m^2
To find the total area, we need to add the areas of the two semi-circular ends and the two straight sections:
Total area = 2(Area of semi-circle) + 2(Area of rectangle)
Total area = 2(4795.4m^2) + 2(2873.7m^2)
Total area = 19181.6m^2
Rounding this to 1 decimal place, we get:
Total area ≈ 19181.6 m^2
Therefore, the total area of the track is approximately 19181.6 square meters.
7) several years ago, the us began running out of telephone numbers. telephone companies introduced new area codes and numbers were used up, and eventually almost all area codes were used up. *please only answer question e. the other questions are only for reference (e) the shortage of area codes was resolved by removing the restriction on the second digit of the area code. (this resulted in problems for some older equipment which used the second digit to determine that a long-distance call was being made.) how many area codes are possible under the new system?
There are total 30 new area codes are possible under new system of telephone companies related to phone numbers with different area codes.
Area codes were introduced in the 1940s. This was an attempt by AT&T to standardize previously disparate numbering schemes.
Originally, area codes were of the form NYX where N=2-9, Y=0-1, X=0-9. N00 and N11 have been excluded. The North American Numbering Plan (NANP) includes 25 countries.
Of the 152 possible area codes, 86 were introduced first. Area codes with 0 in the middle were assigned to states where the area code could cover the entire state. Area codes with 1 in the middle were assigned to states with multiple area codes. The fastest area codes to dial with a rotary phone were assigned to populated areas.
The demand for area codes increased in the 80's and 90's. There were three main factors at the start of this timeframe. 1) the proliferation of cell phones and fax machines, 2) giving Caribbean countries their own area codes rather than sharing the 809 area code, and 3) the US South Pacific joining his NANP. This prompted the industry to increase its stock of area codes by changing the format of both the area code and his CO area code to his NXX. This increased our stock of area codes and CO codes to 792 (8x10x10 - 8 of his N11 codes).
This was a major change that required national coordination.
In 1996, the FCC allowed competition for local communications. This meant that there were many new telecommunications companies with rights to take stock of phone numbers. This has led to a dramatic increase in the demand for numbers and a huge proliferation of new area codes. Over the years, over 30 new area codes have been introduced.
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Complete question:
Several years ago, the US began running out of telephone numbers. Telephone companies
introduced new area codes and numbers were used up, and eventually almost all area codes were
used up. Only answer the questions (c) to (d).
(a) Until recently, all area codes had a 0 or 1 as the middle digit, and the first digit could not be 0
or 1. How many such area codes are possible?
(b) The actual number of area codes under this system was 152. What could be the cause of the
discrepancy between this number and your answer to part (a)?
(c) A 7-digit telephone number that follows the area code cannot start with a 0 or 1. How many
such 7-digit telephone numbers are possible in each area code?
(d) Under the old area code system in part (a), how many total possibilities are there for area
code with telephone number?
(e) The shortage of area codes was resolved by removing the restriction on the second digit of the
area code. (This resulted in problems for some older equipment which used the second digit to
determine that a long-distance call was being made.) How many area codes are possible under
the new system?
(f) How many telephone numbers with area code are possible under the new system?
If you earn $7.50 per hour at your job how much will you earn if you work 25 hours?
Answer:
$187.5
Step-by-step explanation:
.
Answer:
187.50
Step-by-step explanation:
7.5(25)=187.50
hope this helped
have a good day^^
The _____ probability function is based in part on the counting rule for combinations.
a. exponential b. Poisson c. uniform d. hypergeometric
The hypergeometric probability function is based on the counting rule for combinations.
This rule states that if you have two sets of items, with one set containing n1 items and the other containing n2 items, the number of possible combination of r items that can be taken from the two sets is equal to n1+n2 choose n1. This means that you have to select n1 items from the first set, then n2 items from the second set. This function is used in probability calculations to determine the probability of selecting a certain number of items from one set, given a certain number of items from the other set. It is also used to calculate the probability of a certain event occurring when items are randomly selected from two sets.
The hypergeometric probability function can be used to calculate the probability of drawing a certain number of items from a given set. It can also be used to calculate the probability of a certain event occurring. For example, if you are playing a game where you draw 5 balls out of a bag of 20, you can use the hypergeometric probability function to calculate the probability of drawing a certain number of balls from the bag.
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PLEASE HELP 20 points
Videos Incorporated charges a membership fee of $4.99 plus $0.99 for each movie you watch. Videos Plus does not charge a membership fee but charges $2.99 per movie. Videos Plus is a better deal than Videos Incorporated. Which inequality represents this situation?
What is the inequality symbol for the situation? Answer Chocies: >, <, =.
Videos Incorporated Expression: Answer choices: 4.99x + 0.99, 4.99 + 0.99x, 4.99 - 0.99x
Videos Plus Expression: Answer Choices: 2.99x, 2.99x + 1, 2.99x - 1.
Which inequality represents this situation?
Videos Incorporated Expression:
-> Starting membership fee of $4.99, and then adding onto the overall cost is $0.99 for every movie watched.
4.99 + 0.99x
Videos Plus Expression:
-> There is no membership fee, but adding to the cost is $2.99 per movie.
2.99x
Which inequality represents this situation?
-> You do not have answer options, so this is a guess.
-> It states that "Videos Plus is a better deal than Videos Incorporated" which means Videos Incorporated costs more than Videos Plus
2.99x < 4.99 + 0.99x
a restaurant gathers data about a new dish by providing free samples to parties of six or more diners. what does this scenario describe?
The scenario where restaurant gathers data about a new dish by providing free samples to parties of six or more is a sampling bias.
What is sampling bias?Sampling bias occurs when some members of a population are systematically more likely than others to be chosen for a sample. In the medical world, this is known as ascertainment bias. Because it threatens external validity, specifically population validity, sampling bias reduces the generalizability of findings.
Sampling bias occurs when some people in a community being surveyed are purposefully placed to be chosen or not chosen over others. If a sample process consistently favors some results over others, it is said to be biased. Ascertainment bias particularly in biological areas)/ and systematic bias are other terms for sampling bias. Bias can be intentional, but it is frequently unintentional.
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The number of prime factors of 3×5×7+7 is
The number of prime factors of 3×5×7+7 is 3.
To find the number of prime factors, we need to calculate the given expression:
3×5×7+7 = 105+7 = 112.
The number 112 can be factored as 2^4 × 7.
In the first step, we factor out the common prime factor of 7 from both terms in the expression. This gives us 7(3×5+1). Next, we simplify the expression within the parentheses to get 7(15+1). This further simplifies to 7×16 = 112.
So, the prime factorization of 112 is 2^4 × 7. The prime factors are 2 and 7. Therefore, the number of prime factors of 3×5×7+7 is 3.
In summary, the expression 3×5×7+7 simplifies to 112, which has three prime factors: 2, 2, and 7. The factor of 2 appears four times in the prime factorization, but we count each unique prime factor only once. Thus, the number of prime factors is 3.
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Find parametric equations for the line. (use the parameter t.) the line of intersection of the planes x y z = 6 and x z = 0
Let \(x=t\). Then
\(x+z = 0 \implies z = -x = -t\)
\(x + y + z = 6 \implies y = 6 - x - z = 6 - t - (-t) = 6\)
so our parametric equations for the line are
\(\begin{cases}x(t) = t \\ y(t) = 6 \\ z(t) = -t\end{cases}\)
where \(t\in\Bbb R\).
find the most general form of the antiderivative of f(t) = e^(7 t).
The antiderivative is also known as an indefinite integral, while the definite integral gives the area under the curve of a function.
The antiderivative of f(t) = e^(7t) is given as F(t).
The most general form of the antiderivative of f(t) = e^(7 t) is as follows:
F(t) = (1/7)e^(7t) + Cwhere C is the constant of integration.
The constant of integration arises because there is an infinite number of functions whose derivative is e^(7t), and so we must add a constant to our antiderivative to include all of them.
In this case, the constant of integration is represented by C.
The antiderivative of a function is the opposite of its derivative. The antiderivative is also known as an indefinite integral, while the definite integral gives the area under the curve of a function.
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A car travels 256 miles in 4 hours. How many miles does it travel per hour?
Answer:
64 is the answer glad to help
What is the solution to |x – 5| + 2 < 20?
Answer:
Step-by-step explanation:
hello :
|x – 5| + 2 < 20 means : |x – 5| + 2-2 < 20-2
|x – 5| < 18
-18< x - 5 < 18
-18+5< x - 5+5 < 18+5
-13< x< 23 ( solutions)
Numbers of the jerseys of 5 randamty selected Carolina Panthers Quantitative discrete Quantitative continuous. Gualitative
The numbers of the jerseys of 5 randomly selected Carolina Panthers would fall under the category of quantitative discrete data.
Quantitative data are numerical measurements or counts that can be added, subtracted, averaged, or otherwise subjected to arithmetic operations. Discrete data, on the other hand, can only take on specific, whole number values, as opposed to continuous data which can take on any value within a range.
Qualitative data, on the other hand, are non-numerical data that cannot be measured or counted numerically. Examples include colors, names, opinions, and preferences. Since the numbers of the jerseys are specific numerical values, they are considered quantitative data.
Since they can only take on specific, whole number values (i.e. the jersey numbers are not continuous values like weights or heights), they are considered discrete data. Therefore, the correct option for the given question is option "quantitative discrete".
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