Answer:
hypotenuse is 17cm
Step-by-step explanation:
According to Pythagoras theorem,
AC²=AB²+BC²
AC² = 8²+15²
AC = √64+225
AC =√ 289
AC =17cm
A(-5,1) B(-2,4) C(1,-1)
Translate the triangle 4 units left and 6 units up. PLSSS HELP ME THANK YOU
The triangle after translation will have coordinates A'(-9, 7), B'(-6, 10) and C'(-3, 5)
What are transformations?A transformation is a process that manipulates a polygon or other two-dimensional object on a plane or coordinate system.
Given that, a triangle A(-5,1) B(-2,4) C(1,-1) is being translated 4 units left and 6 units up
To translate the point P(x, y), a units left and b units up, use P'(x-a, y+b).
Therefore, coordinates for A'B'C' are =
A(-5, 1) = A'(-5-4, 1+6) = (-9, 7)
B(-2, 4) = B'(-2-4, 4+6) = (-6, 10)
C(1, -1) = C'(1-4, -1+6) = (-3, 5)
Hence, The triangle after translation will have coordinates A'(-9, 7), B'(-6, 10) and C'(-3, 5)
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Chri want to order DVD over the internet. Each DVD cot $15. 99 and hipping the entire order cot $9. 99. If he can pend no more than $100 , how many DVD could be buy?
Chris can only buy a maximum of 5 DVDs.
What is a division?
The division is a mathematical operation that involves dividing one number (the dividend) by another number (the divisor) to find the quotient. It is represented by the symbol "/" or "÷".
To determine how many DVDs Chris can buy, we need to subtract the cost of shipping from the total amount of money Chris has available and then divide the remaining amount by the cost of each DVD.
First, we subtract the cost of shipping from the total amount of money Chris has available:
$100 - $9.99 = $90.01
Then, we divide the remaining amount by the cost of each DVD:
$90.01 / $15.99 = 5.63
Chris can buy 5 DVDs.
Hence, Chris can only buy a maximum of 5 DVDs.
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3) A man works x hours per weekday
except Saturday when he works y hours. If
he works z hours on sunday how many
hours does he work per week?
Step-by-step explanation:
Monday to Friday = 5x
Saturday = y
Sunday = z
Per week, he works 5x + y + z hours.
Use the order of operations to find the value of the following expression.
10 2 - 2 (8) + 11
1: 95
2: 15
3: 155
4: 795
Answer:
Step-by-step explanation:
Using PEMDAS order of operations:
ParnthesesExponentMultiplyDivideAddSubtract:
10 2 - 2 (8) + 11
(I am assuming that you mean 10 * 2):
10 * 2 - 2 (8) + 11
= 20 - 16 + 11
= 4 + 11
= 15.
Shade 1 circle. Shade 9/4 more
Answer:
For the first one, shade in 1 circle at the start
Then shade in 9/4 more, so you would fully shade 2 more because every 4 equals 1.
Then shade 1 quarter of the next circle, or 1 of the 4 portions of the next circle.
____________________________________
For the second one, shade in 2 circles at the start
Then shade 8/5 more, so fully shade one more because every 5 numbers equals one shaded circle.
Then shade 3/5 of the next circle. So you would shade 3 of the 5 portions of the circle
Given (x – 7)2 = 36, select the values of x. x = 13 x = 1 x = –29 x = 42
Answer:
x=25
Step-by-step explanation:
You have 2 different savings accounts. For Account A, the simple interest earned after 3 months is $2.00. For Account B, the simple interest earned after 18 months is $20.70. If the interest rate is 3.2% for Account A and 2.3% for Account B, how much is the principal in each account? Which account earned you the most interest the first month? Explain your answer.
Answer:
Account A = $20.8
Account B = $
Step-by-step explanation:
how much is the principal in each account?
Formula = (P x R x T)/100
Account A: -
2.00 = P(3.2)(3) / 100
(2 x 100) / (3.2 x 3) = P
P = $ 20.8
Account B: -
20.7 = P(3.2)(18) / 100
(20.7 x 100) / (3.2 x 18) = P
P = $35.9
Which account earned you the most interest the first month?
Account A: -
3 months ----> $2
1 month ----> $x
x = 2 / 3
x = $0.67
Account B: -
18 months ----> 20.7
1 month ----> $y
y = 20.7 / 18
y = $1.15
Account B has earned more as 1.15 > 0.67 ( 1.15 IS greater than 0.67)
I hope my answer helps you.
The following equation i true for all value of x. What number complete the equation?
Show your work. 5y 2(3y − 1) = ⬜y − (y 2)
we can add 2 to both sides to get 3y = -y2 + 2, which simplifies to 3y = -(y2 - 2).
5y + 2(3y − 1) = 8y - (y2)
5y + 2(3y - 1) can be rewritten as 5y + 6y - 2.
Then, we can combine like terms on the left side to get
11y - 2.
On the right side, we can combine like terms to get 8y - y2.
Now, we have 11y - 2 = 8y - y2. We can subtract 8y from both sides to get 3y - 2 = -y2.
Finally, we can add 2 to both sides to get 3y = -y2 + 2, which simplifies to 3y = -(y2 - 2).
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A city wide soccer club has a phone tree to keep members informed of cancellations due to bad weather. At the first stage of the calling process, 2 leaders are informed. In stage 2, each person who was informed in stage 1 calls 3 players who are not informed. In stage 3, each person who was informed in stage 2 calls 3 players who are not informed. This pattern repeats and ends after stage 5. The number of players informed at each stage, P, is a function of the stage number X
The evaluation of the function with which the number of players leading and informed can be found, is prevented as follows;
(a) The stage of the information
(d) The number of leaders and players informed
(c) The function using function notation is P(x) = 2 × 3⁽ˣ⁻¹⁾
(d) We can say that the number of players and leaders depend on the stage of the information
(e) The statement P(4) = 54 indicates that in stage 4, 54 people are informed
(f) Domain; [1 , ∞)
Range; [2, ∞)
(g) The shape of the graph is the curved shape of an exponential function un which the asymptote is an horizontal line
What is an exponential function?An exponential function is a function in which the argument is an index of a constant of the form f(x) = a·bˣ
(a) The independent variable is the input variable, which is the stage of the calling process
(b) Dependent variable is the output variable, which is the number of leaders and players who are informed
(c) The specified function that represents the number of players who are informed, is presented as follows;
P = 2 × 3ˣ⁻¹
Where;
P = The number of players informed
x = The of information of the players
Expressing the above function using function notation, we get;
P(x) = 2 × 3ˣ⁻¹
(d) We can say that the number of players and leaders informed is a function of the stage of the information
(e) The meaning of the equation P(4) = 54 is that at stage 4, the number of layers and leaders informed is 54
(f) The domain of the function P(x) = 2 × 3ˣ⁻¹ is the set of all positive integers equal to or larger than 1 or Z⁺ {1, 2, 3, ...}
The range of the function is the set of integers, such that 2 ≤ x ≤ ∞
(g) Please find attached the graph of the function created with MS Excel
The attached graph of the function indicates that the shape of the graph is the graph of an exponential function, which is non linear and has a horizontal asymptote , but does not have a vertical asymptote.
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help me pls with this crazy question
plspls pls
Answer:
Below
Step-by-step explanation:
You need to draw a diagram of the described situation ( see below) ...then you can see the Law of Cosines will give you the answer:
Please help me respond this question
The price that is the Second standard above the mean, if the mean is $10000 and the standard deviation is $500 is $18000.
What is mean?The central tendency along the median and mode of a probability distribution is measured by the mean. It is also known as "expected value."
Given:
The mean, m = $17000,
The standard deviation, σ = $500
Calculate the second standard deviation as shown below,
Second standard deviation = mean + 2 × standard deviation
Second standard deviation = 17000 + 2 × 500
Second standard deviation = 17000 + 1000
Second standard deviation = $18000
Therefore, the price that is the Second standard above the mean, if the mean is $10000 and the standard deviation is $500 is $18000.
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What is the value of x that would make like a parallel to line b
Answer:
x = 16
Step-by-step explanation:
If the lines were parallel then (12x - 50) and (8x + 14) are alternate angles and are congruent , then
12x - 50 = 8x + 14 ( subtract 8x from both sides )
4x - 50 = 14 ( add 50 to both sides )
4x = 64 ( divide both sides by 4 )
x = 16
For a and b to be parallel then x = 16
Which of the following numbers is divisible by 2, 5, and 10?
A. 101
B. 125
C. 342
D. 550
Answer: D. 550
Step-by-step explanation: Among the choices, 550 is the right answer, because simply it is divisible by 2, 5, and 10, unlike the other choices that are not divisible by 2, 5, or 10.
550 ÷ 10 = 55
550 ÷ 5 = 110
550 ÷ 2 = 275
The Sports Boosters are selling souvenir cups at the school football games to raise money for new uniforms. Each souvenir cup sells for $2.25. At the first game, the Boosters collected $123.75 from souvenir cups sales. How many cups were sold at the first game?
The number of cups sold at the first game is 55.
What is an expression?An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.
Example: 2 + 3x + 4y = 7 is an expression.
We have,
Cost of each souvenir = $2.25
The total amount collected from the souvenir cups sales = $123.75
The number of cups sold at the first game.
= 123.75/2.25
= 55
Thus,
The number of cups sold is 55.
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What is the image of (-4,4) after a dilation by a scale factor of 1/4 centered at the origin?
Answer:
(-1,1)
Step-by-step explanation:
1/4 (-4) = -1
1/4(4) = 1
(-1,1)
Please help meeeee asap !!!!!!!!?!??
The number of boxes Anica need to pack all the stuffed animals is 3.
Given that, Anica has 13 stuffed animals, and each box holds 5 animals.
What is the unitary method?The unitary method is a technique for solving a problem by first finding the value of a single unit, and then finding the necessary value by multiplying the single unit value.
Here,
Number of boxes completely filled =13/5
5|13|2
10
_____
3
3 animals are left
Therefore, the number of boxes Anica need to pack all the stuffed animals is 3.
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Noel old 4 carved wooden block at a local fair, earning a total profit of $26. He plan to ell 22 block during the fair. If he ell all the block, how much profit can Noel expect to earn? $
Noel can expect to earn a total profit of $572 if he sells all 22 blocks at the fair. Profit is an important measure of the financial performance of a business.
Profit is the amount of money that is gained from a business activity after all expenses have been paid. It is calculated by subtracting the costs of producing or acquiring a product or service from the revenue generated by selling that product or service.
To find the total profit that Noel can expect to earn from selling all 22 blocks, we need to multiply the profit from each block by the number of blocks he plans to sell.
We can use the following equation to calculate the total profit:
Total profit = Profit per block x Number of blocks
Plugging in the values we know, we get:
Total profit = $26 x 22 = $<<26*22=572>>572
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solve g/4 + 11 = 28 g =
Answer:
g = 68
Step-by-step explanation:
g/4 + 11 = 28
subtract 11 from both sides:
g/4 + 11 - 11 = 28 - 11
g/4 = 28 - 11
g/4 = 17
multiply both sides by 4:
4(g/4) = 4(17)
g = 68
you buy 1 shirt and 3 pairs of pants for $44. your friend buys 3 shirts and 1 pair of pants for $44. what is the cost of each shirt? of each pair of pants?
The cost of each shirt and pair of pants is $11 each.
Let us represent the shirt by x and pair of pants by y. So forming the equation based on the information. Equation for items bought by me -
x + 3y = 44 : Equation 1
Equation for items bought by my friend -
3x + y = 44 : Equation 2
Performing multiplication of equation 1 with 3
3x + 9y = 132 : Equation 3
Performing subtraction of equation 2 from equation 3
3x + 9y = 132
3x + y = 44
We get -
9y - y = 132 - 44
8y = 88
y = 88/8
Performing division
y = 11
Keep the value of y in equation 1
x + 3×11 = 44
x + 33 = 44
x = 44 - 33
x = 11
Hence, both of these items cost $11.
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FILL IN THE BLANK. the starting value of an algorithm used to generate a range of numbers is called the _________.
The starting value of an algorithm used to generate a range of numbers is called as Seed .
A pseudo-random number generator (PRNG) is a technique that generates random number sequences using mathematical formulas. A series of numbers that closely resemble the characteristics of random numbers are produced by PRNGs. A Seed state is used by a PRNG to start from any starting state. If the beginning of the series is known, many numbers are created quickly and can also be repeated later. As a result, the numbers are accurate and deterministic.
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Planes Q and R are parallel planes. Plane Q contains line a. Plane R contains line b.
Planes Q and R are parallel. Plane Q contains line a and plane R contains line b. Both lines are going the same direction.
If a third plane could be drawn which contains both lines a and b, then
lines a and b must be parallel.
lines a and b cannot be parallel.
lines a and b must be skew.
lines a and b must be perpendicular.
Answer:
lines a and b must be parallel
Answer:(A)
Step-by-step explanation:edge
Show that the function f(x) = x + 5x + 1 has exactly one zero in the interval (-1,0). Which theorem can be used to determine whether a function f(x) has any zeros in a given interval?
The function f(x) = x + 5x + 1 has exactly one zero in the interval (-1, 0). To prove this, we can use the Intermediate Value Theorem.
This theorem states that if a function f(x) is continuous on an interval [a, b] and if its values at a and b have opposite signs, then there exists at least one root (zero) of the function in the interval (a, b). Therefore, since f(-1) = -6 and f(0) = 1, both of which have opposite signs, the Intermediate Value Theorem can be used to conclude that there exists at least one root of the function in the interval (-1, 0).
Furthermore, since the function is a quadratic function of the form f(x) = ax2 + bx + c, it is known that a quadratic equation can have at most two roots (zeros) (in a given interval). Therefore, since the Intermediate Value Theorem implies that the function f(x) has at least one zero in the interval (-1, 0), it follows that the function has exactly one zero in the interval (-1, 0).
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Please help me with math
Answer:
it is 0.5 percentStep-by-step explanation:
7 divided by 1400 x 100 = 0.5758 +630+7+105=1400 ^
Answer: A
the total employees in the company is
758 + 530 + 7 + 105 = 1400 (employee)
the percent of the employees walk to work is
7/1400.100% = 0,005 . 100% = 0,5%
Step-by-step explanation:
Determine whether the sequence 1/117659, 1/16807, 1/2401...converges or diverges. If it converges, give the limit.
The sequence is a geometric sequence with a common ratio of 7. Since, the common ratio is greater than 1, the sequence diverges.
What is the sequence converges or diverges?A convergent series is a series whose partial sums tend to a specific number, also called a limit. A divergent series is a series whose partial sums, by contrast, don't approach a limit. Divergent series typically go to ∞, go to −∞, or don't approach one specific number.
The given sequence is 1/117659, 1/16807, 1/2401...
Here, common ratio is
1/16807 ÷ 1/117659
= 1/16807 × 117659/1
= 117659/16807
= 7
Now, 1/2401 ÷ 1/16807
= 1/2401 × 16807/1
= 16807/2401
= 7
Hence, the sequence is a geometric sequence with a common ratio of 7. Since, the common ratio is greater than 1, the sequence diverges.
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in r, run a one-sample t-test to determine if the sample of toys below are likely to have come from a population with mean price greater than $10. what is the p-value of the test?
The sample of toys below are likely to have come from a population with mean price greater than $10 then the p-value of the test is 0.139.
R code
⇒ x = c(10,12,15,8,9,10,13,7,20,10)
⇒ t.test(x,mu = 10, alternative = "greater")
on sample t test
data: x
t = 1.1543, df = 9, p value = 0.1391
alternative hypothesis: true mean is greater than 10
95 percent confidence interval:
9.176629 Inf
sample estimates:
mean of x
11.4
Hence we get the required answer.
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write an equation that can be used to determine the length
A. The equation that can be used to represent the side a of the cube is a³ = 343.
B. The value of a is 7 units.
How to represent the volume of a cube?The diagram above is a cube . A cube is a solid three-dimensional figure, which has 6 square faces, 8 vertices and 12 edges.
Therefore, the cube has a volume of 343 cm³.
Hence, the equation that can be used to represent the side a of the cube is as follows:
volume of a cube = l³
where
l = side lengthTherefore,
volume of the cube = a³
343 = a³
Let's solve the equation.
343 = a³
a³ = 343
cube root both sides
a = ∛343
a = 7 units
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a researcher hypothesizes that babies will fall to sleep more quickly if they can hear the sound of a recorded heartbeat. the null hypothesis for this study is that
Babies will not fall asleep more quickly when they hear the sound of a recorded heartbeat by opposite of null hypothesis.
The researcher has proposed a hypothesis that babies will fall asleep more quickly when they can hear the sound of a recorded heartbeat. To test this hypothesis, the researcher must develop a null hypothesis. The null hypothesis is the opposite of the researcher's hypothesis and states the expected outcome if the researcher's hypothesis is false. In this case, the null hypothesis is that babies will not fall asleep more quickly when they hear the sound of a recorded heartbeat. To test these hypotheses, the researcher must design a study and collect data to determine if the hypothesis is true or false. The researcher must also consider variables that could affect the outcome of the study, such as the age of the babies, the type of recorded heartbeat, and any other factors that could impact the outcome. The results of the study will then be used to either reject or accept the null hypothesis and determine if the researcher's hypothesis is true or false.
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What is 2(11-4)-3^2 answer
Answer:
5
Step-by-step explanation:
Knowledge Needed
Use PEMDAS
Parenthesis
Exponents/Roots
Multiplication & Division
Addition & Subtraction
This means you do parenthesis first, exponents second, etc.
Clearing up a Common Misconception: Multiplication is not is not in front of division, same with addition and subtraction. When it comes to this, the order is left to right.
Question
2(11-4)-3^2
Parenthesis
2(7)-3^2
Exponents
2(7) - 9
Multiplication/Division
14 - 9
Subtraction
5
if the correlation is 0, then there is no relationship between the two variables. hintlinks to an external site. textbook pageslinks to an external site. group of answer choices true false
There is no association between the two variables if the correlation is 0.hintlinks to an external site. textbook pageslinks to an external site is False statement.
A correlation of zero means that there is no linear relationship between two variables, however, this does not necessarily mean that there is no relationship at all. It's crucial to keep in mind that correlation does not equal causation.For example, two variables may have no linear relationship, but still be related in some way, such as through a third variable or a non-linear relationship. Therefore, correlation does not necessarily mean that there is no relationship between two variables.
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The two lines graphed below are not parallel. How many solutions are there to
the system of equations?
SX
#
OA. One solution
OB. Infinitely many solutions
OC. No solutions
OD. Two solutions
The option that gives the number of solutions to the system of equations is given as follows:
A. One solution.
How to obtain the number of solutions in a system of equations?For a system of linear equations, the system is composed by multiple lines, and the number of solutions is defined according to the features of the lines.
The possible numbers of solutions are given as follows:
Infinite solutions: the lines are equal, hence they intersect at all points.No solutions: the lines are parallel, meaning that they intersect only at infinity.One solution: the lines intersect at one point.From the graph given in this problem, we have that the two lines intersect at one point, hence the system of equations has one solution and the correct option is given by option A.
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