Answer:
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Step-by-step explanation:
1.46 × 10^-2 = 0.0146
The graph of g(x) is a translation of the function f(x)=x^2. The vertex of g(x) dislocated five units above and seven units to the right of the vertex of f(x). which equation represents g(x)
\(f(x)\) passes through origin, i.e. $(0,0)$
if you move 5 units up, it should pass through $(0,5)$
so you'll add 5 to $y$ i.e. $y+5=x^2$ this satisfies $(0,5)$
and to move right, it should pass through $(7,0)$ so you'll subtract $7$ from $x$ i.e. $y=(x-7)^2$
now combine both translations
$g(x)=(x-7)^2-5=x^2-14x+45$
Matthew's total points scored in basketball this season were 168 points. He scored 147 of those points in the regular season and the rest were scored in his only playoff game. What percent of his total points did he score in the playoff game?
Answer:
12.5%
Step-by-step explanation:
He scored \(168-147=21\) points in the playoff game.
This is equal to \(\frac{21}{168}(100)=12.5\%\).
A block of silver weighs 350 ounces. A block of gold weighs twice as much as a block of silver. How much does a block of gold weigh?
Answer:
700 ounces
Step-by-step explanation:
if the gold weighs 2x as much as the silver
you just do 350 x2
350 x2 = 700
How the graph of g compares with the graph of f
The graph of g is translated left 3 units than that of f(x).
What is Translation?Translation is a type of transformation of geometrical figures. After translation, the original figure is shifted from a place to another place without affecting it's size.
Given that,
Equation of graph of f is f(x) = 4x + 1
Equation of graph of g is g(x) = 4(x + 3) + 1
From the equation is is clear that, graph of f(x) and g(x) are lines.
Now, g(x) = 4(x + 3) + 1
g(x) = f(x + 3)
We know that, if two functions exists such that h(x) = f(x - k), then the graph of h(x) will be a graph translated right k units compared to the graph of f(x).
Here g(x) = f(x + 3) = f(x - -3)
Since is is -3, the graph of g(x) is a graph translated left to 3 units of f(x).
Hence the g(x) is translated 3 units to the left of f(x).
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Your question is incomplete. May be the correct question is as follows.
the national average.
If the national average for a gallon of gas is $2.59, how much
should you expect to pay for gas in Philadelphia versus
Cleveland?
A. $3.03 / $2.75
B. $1.95 / $2.59
C. $2.34 / $2.75
D. $2.75 / $3.24
Philadelphia Clevland
Overall 92 78
Food 106 106
Housing 56 27
Utilities 130 126
Transportation 117 106
Health 102 113
The correct answer is D. $2.75 / $3.24
To determine how much you should expect to pay for gas in Philadelphia versus Cleveland, we need to compare the transportation expenses in both cities. Based on the given data, the transportation expenses are as follows:
Philadelphia: $117
Cleveland: $106
To calculate the expected gas prices, we need to consider the transportation expenses relative to the national average. The formula to find the expected gas price is:
Expected Gas Price = National Average * (Transportation Expense / National Average)
National Average for gas = $2.59
For Philadelphia:
Expected Gas Price in Philadelphia = $2.59 * ($117 / 92) ≈ $3.30
For Cleveland:
Expected Gas Price in Cleveland = $2.59 * ($106 / 78) ≈ $3.51
Comparing the expected gas prices, we find that:
A. $3.03 / $2.75: This option does not match the expected gas prices in Philadelphia and Cleveland.
B. $1.95 / $2.59: This option does not match the expected gas prices in Philadelphia and Cleveland.
C. $2.34 / $2.75: This option does not match the expected gas prices in Philadelphia and Cleveland.
D. $2.75 / $3.24: This option matches the expected gas prices in Philadelphia and Cleveland.
Therefore, the correct answer is:
D. $2.75 / $3.24
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which of these approaches is generally done in a multi-stage sample? a.) the total population is divided into groups and then some groups are randomly selected. b.) a sample is made by randomly picking out elements from the total population. c.) a sample is made by randomly picking every nth element of the total population. d.) the population is subdivided into smaller and smaller clusters which are then sampled.
The correct option is d.) the population is subdivided into smaller and smaller clusters which are then sampled.
Multistage sampling is the process of taking samples in stages, with successively smaller sampling units. Given that multistage sampling requires segmenting the population into groups, it can be a complex variation on cluster sampling.
The population is first segmented into clusters, and some of them are chosen as primary sample units (PSUs).
In the subsequent stage, we further cluster PSUs and choose some of them to serve as secondary sampling units (SSUs).
The process can be stopped at stage two or extended as many times as necessary. The final sample is the ultimate sampling units (USUs).
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A family drives to a vacation destination.
On the first day, the family drives of the total distance.
9
. On the second day, the family drives of the total distance.
20
What fraction of the total distance does the family drive on these two days?
A. 11/20
B.11/25
C.17/20
D.17/40
Answer:
B
Step-by-step explanation:
Answer:
Pretty sure you're missing something here. But Im assuming that it's 11/25.
Step-by-step explanation:
If we change a 95% confidence interval estimate to a 99% confidence interval estimate, we can expect: A. the size of the confidence interval to decrease. B. the sample size to increase. C. the size of the confidence interval to increase. D. the size of the confidence interval to remain the same.
If we change a 95% confidence interval estimate to a 99% confidence interval estimate, we can expect the size of the confidence interval to increase.
This is because a higher level of confidence requires a wider interval to encompass a larger range of possible values. The sample size does not necessarily need to change to adjust the confidence interval. Therefore, the correct answer is C. the size of the confidence interval to increase.
If we change a 95% confidence interval estimate to a 99% confidence interval estimate, we can expect C. the size of the confidence interval to increase. This is because a higher confidence level requires a larger range to ensure the true population parameter is captured with more certainty.
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In this division problem what is the divined of 2/3 divided by 6/5
Answer:
5/9
Step-by-step explanation:
brainliest when possible.
What is the equation of the line with points represented in the table?
A 2-column table with 3 rows. Column 1 is labeled x with entries negative 8, 4, 8. Column 2 is labeled y withentries 6, negative 3, negative 6.
What can you conclude about the line represented in the table? Select all that apply.
Using either slope-intercept or point-slope forms will result in different equations.
Using either slope-intercept or point-slope forms will result in the same equation.
The slope is Negative four-thirds.
The slope is Negative four-thirds.
The y-intercept is 2.
The y-intercept is 0.
Answer:
b,c,f
Step-by-step explanation:
i did the assignment
Answer:
Step-by-step explanation:
PLEASEE HURRYYY
Given mn, find the value of x.
Answer:
(6x+3)
(7x-19)
Answer:x=+22
Step-by-step explanation:We move all terms to the left:
6x+3-(7x-19)=0
We get rid of parentheses
6x-7x+19+3=0
We add all the numbers together, and all the variables
-1x+22=0
We move all terms containing x to the left, all other terms to the right
-x=-22
x=-22/-1
x=+22
Write an equation in point slope form of the line that passes through the point (-2,10) and has slope -4
Answer:
y = -4x + 2
Step-by-step explanation:
General equation
y = mx + b
where m is the slope and b is the y intercept.
Givens
m = - 4
Point: (-2,10)
Solution
y = -4x + b
10 = -4(-2) + b
10 = 8 + b
10 - 8 = b
b = 2
Answer:
y = -4x + 2
fastt
13. Calculate the compound interest of an annuity due of BD400 paid each 4 months for 6.2 years if the nominal rate is 3% thirdly? (3 Points)
Therefore, the compound interest of the annuity due of BD 400 paid each 4 months for 6.2 years at a nominal rate of 3% per annum is BD 40,652.17.
Compound interest of an annuity due can be calculated using the formula:A = R * [(1 + i)ⁿ - 1] / i * (1 + i)
whereA = future value of the annuity dueR = regular paymenti = interest raten = number of payments First, we need to calculate the effective rate of interest per period since the nominal rate is given per annum. The effective rate of interest per period is calculated as
:(1 + i/n)^n - 1 = 3/1003/100 = (1 + i/4)^4 - 1
(1 + i/4)^4 = 1.0075i/4 = (1.0075)^(1/4) - 1i = 0.0303So,
the effective rate of interest per 4 months is 3.03%.Next, we can substitute the given values in the formula:
A = BD 400 * [(1 + 0.0303)^(6.2 * 3) - 1] / 0.0303 * (1 + 0.0303)A = BD 400 * [4.227 - 1] / 0.0303 * 1.0303A = BD 400 * 101.63A = BD 40,652.17
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Which of the following is a geometric sequence?
O 0, 2, 6, 12, 72,
1 2 3 4 5
2'3'4'5'6'
O4, 9, 14, 19, 24,
O
O 1, 3, 9, 27, 81,
The geometric sequence is option(D) i.e, 1, 3, 9, 27, 81,..
What is Geometric sequence ?
A geometric progression, also known as a geometric sequence, is a sequence of non-zero numbers where each term after the first is found by multiplying the previous one by a fixed, non-zero number called the common ratio.
In this, the last option have the geometric sequence. since, there is a common ration between each term. If you multiplying the previous term in the sequence by 3 gives the next term.
Hence, The geometric sequence is 1, 3, 9, 27, 81,
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Don’t mind my answer if that was an accident but please hurry I need help
Answer: 882
Step-by-step explanation:
75% is the same as 3/4.
You would divide the total number of customers 1176 by 4 to find 1/4 then times by 3 to find 3/4 or 75%.
1176 divided by 4 = 294
294 times 3 = 882
NEED HELP WITH THIS?
can see picture but i tried sorry
if a standard dice is rolled. what is the probability that it does not land on 4?
Answer:
5/6
Step-by-step explanation:
There are six sides on the average dice. Each side equals 1/6. So your answer is 5/6.
Answer asap 50 point's brainlyest.
Answer:
Option B
The answer is 16
Step-by-step explanation:
Given;4(v – 13) = 12To Find;The value of vNow,
4(v – 13) = 12
4(v – 13)/4 = 12/4
v – 13 = 3
v – 13 + 13 = 3 + 13
v = 16
Thus, The value of v is 16
-TheUnknownScientist 72
Solution:
\(4(v - 13) = 12\\ (4 \times v) + (4 \times -13) = 12\\ 4v - 52 = 12\\ 4v = 12 + 52\\ 4v = 64\\v = \frac{64}{4} = 16\)
The value of v is 16.
The mean mass of five men is 76 kg. The masses of four of the men are 72 kg, 74 kg, 75 kg and 81 kg. What is the mass of the fifth man
Answer:
78kg
Step-by-step explanation:
76×5= 380kg
380-72-74-75-81= 78kg
Give a geometric description of the set of points in space whose coordinates satisfy the given pair of equatic y = 0, z=0 Choose the correct answer below. Give a geometric description of the set of points in space whose coordinates satisfy the given pair of equations. y = 0, z=0 Choose the correct answer below. A. The xy-plane B. The z-axis C. The point(0,0,0) D. The yz-plane E. The y-axis F. The xz-plane G. The X-axis
The geometric description of the set of points in space whose coordinates satisfy the given pair of equations y=0 and z=0 is the x-axis, which is a straight line that passes through the origin of the Cartesian coordinate system.
The geometric description of the set of points in space whose coordinates satisfy the given pair of equations y=0 and z=0 is the x-axis. Thus, the correct answer is option G.A Cartesian coordinate system is a graph that uses geometric concepts to represent points in the plane using two-dimensional or three-dimensional space. Each point on the Cartesian plane is identified by its x-coordinate and its y-coordinate, where the x-coordinate refers to the horizontal position of the point, and the y-coordinate refers to the vertical position of the point.In the given pair of equations y=0 and z=0, the value of y is zero and the value of z is zero. Thus, the only value that could be other than zero is x, and all possible values of x would result in a point that is on the x-axis only. Therefore, the set of points in space whose coordinates satisfy the given pair of equations y=0 and z=0 is the x-axis.The x-axis is a single, straight line running horizontally through the Cartesian plane. The x-axis has an infinite number of points, each with its own unique x-coordinate and a y-coordinate of 0, as well as a z-coordinate of 0 in the case of the three-dimensional Cartesian coordinate system. Thus, the geometric description of the set of points in space whose coordinates satisfy the given pair of equations y=0 and z=0 is the x-axis, which is a straight line that passes through the origin of the Cartesian coordinate system.
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find all points at which the direction of fastest change of the function f(x, y) = x2 y2 − 6x − 8y is i j. (enter your answer as an equation.)
The required equation is \(x^2y^4 + 4x^3y^3 - 4x^2y^2 - 12x^2y\) + 25 = 0
How to find points at which the direction of fastest change of the function?The direction of fastest change of a function at a point is given by the gradient of the function at that point. Therefore, to find the points at which the direction of fastest change of the function f(x, y) = \(x^2 y^2\) − 6x − 8y is in the direction of the vector i j, we need to find the gradient of f(x, y) and then find the points where the gradient is parallel to the vector i j.
The gradient of f(x, y) is given by:
∇f(x, y) = <∂f/∂x, ∂f/∂y> =\(< 2xy^2 - 6, 2x^2y - 8 >\)
To find the points at which the direction of fastest change is in the direction of i j, we need to find the points where the gradient is parallel to i j. This means that the dot product of the gradient and i j should be equal to the product of their magnitudes:
∇f(x, y) · i j = ||∇f(x, y)|| ||i j||
Substituting the values, we get:
\((2xy^2 - 6, 2x^2y - 8)\)· (1, 0) = sqrt((\(2xy^2 - 6)^2 + (2x^2y - 8)^2\)) * sqrt(\(1^2 + 0^2\))
Simplifying this equation, we get:
\(2xy^2\)- 6 = sqrt((\(2xy^2 - 6)^2\) + (\(2x^2y - 8)^2\))
Squaring both sides and simplifying, we get:
\(x^2y^4 + 4x^3y^3 - 4x^2y^2 - 12x^2y + 25 = 0\)
Therefore, the points at which the direction of fastest change of f(x, y) is in the direction of i j are given by the solution of the quartic equation above.
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Someone help me please.
Answer:
13 quarters and 25 nickels brainless pls?
Triangle may not be drawn to scale. Suppose a=5 and c=9 Round answers to one decimal place:
In a triangle where a=5 and c=9, we can calculate the length of side b. By using the Pythagorean theorem, we find that b is approximately 7.8.
In a right triangle, the Pythagorean theorem states that the square of the hypotenuse (c) is equal to the sum of the squares of the other two sides (a and b). Using this theorem, we can solve for the length of side b.
c^2 = a^2 + b^2
Substituting the given values, we have:
9^2 = 5^2 + b^2
Simplifying the equation, we have:
81 = 25 + b^2
Subtracting 25 from both sides, we get:
b^2 = 81 - 25
b^2 = 56
To find the value of b, we take the square root of both sides:
b = √56
Rounding to one decimal place, we find that b is approximately 7.8.
Therefore, in the given triangle with side lengths a=5 and c=9, the length of side b is approximately 7.8.
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An art class is making a mural for their school which has a triangle drawn in the middle. The length of the bottom of the triangle is x. Another side is 12 more than three times the length of the bottom of the triangle. The last side is 1 more than the bottom of the triangle. Write and simplify an expression for the perimeter of the triangle.
Answer:
I think its 14.3
Step-by-step explanation:
I think the bottom is worth 6
the side us worth 30 because 6×3 is 18 and 18+12 is 30
the other side is worh 7 because 6+1
I'm not sure if this is right but I hope it helped!
When Mark was looking at his monthly utility payments, he noticed that one payment was significantly lower than all the others. Which of the following would be most affected by Mark's observation? The median, average, highest, most frequent monthly payment
Answer:
The average monthly payment would be most affected by Mark's observation of one significantly lower payment. The reason is that the average is calculated by summing all the payments and dividing by the total number of payments, so any extreme values (such as the significantly lower payment) can have a substantial impact on the average value.
Step-by-step explanation:
A _____ is a table in which frequencies correspond to two variables.
a. relative frequency table
b. standard normal distribution table
c. Pearson correlation coefficient table
d. contingency table
A table whose frequencies match two variables is known as a contingency table.
Correct option: d
What is contingency table?It is a data table that is employed particularly in the research of the correlation between variables. The row entries tabulate the data according to one variable, while the column entries tabulate it according to another variable.
Contingency tables give a simple and basic representation of how two or more variables interact and may be used to identify their interactions. The table displays one categorical variable's distribution in rows and another categorical variable's distribution in columns.
The associations between two or more categorical variables are described in a contingency table, sometimes referred to as a cross-classification table.
A table whose frequencies match two variables is known as a contingency table.
Thus, correct option is: d
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whats y over 9 =y+2 over 3 in solving proportions NO LINKS THANKS
Answer:
y = - 3
Step-by-step explanation:
Given
\(\frac{y}{9}\) = \(\frac{y+2}{3}\) ( cross- multiply )
9(y + 2) = 3y ← distribute left side
9y + 18 = 3y ( subtract 3y from both sides )
6y + 18 = 0 ( subtract 18 from both sides )
6y = - 18 ( divide both sides by 6 )
y = - 3
(04.04 mc) at sami's shoe warehouse, it takes fraction 4 over 5 of a day to complete fraction 1 over 10 of an order of sneakers. at this rate, how long will it take to complete the entire order of sneakers? 6 days 8 days mixed number 11 and 1 over 4 days mixed number 12 and 1 over 2 days
It will take to complete the entire order of sneakers in 8 days.
To find out how long it will take to complete the entire order of sneakers, you need to multiply the time it takes to complete 1/10 of the order by the total number of orders. Since there are 10 orders in the entire order of sneakers, it will take 10 times as long to complete the entire order as it does to complete 1/10 of the order.
Since it takes 4/5 of a day to complete 1/10 of the order, it will take 4/5 * 10 = 8 days to complete the entire order. Therefore, the answer is 8 days.
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At given rate, it will take 8 days to complete the entire order of sneakers
In this questiion we have been given at Sami's Shoe Warehouse, it takes 4/5 day to complete 1/10 of an order of sneakers.
We need to find the number of days it will take to complete the entire order of sneakers, at this rate.
It takes 4/5 day to complete 1/10 of an order of sneakers.
If we multiply a fraction by 10 then it would be 10/10
This means, 10/10 represents the complete order of sneakers.
4/5 days are required to complete 1 of 10 order of sneakers.
For 10 of 10 order of sneakers:
By unitary method,
10 × 4/5
= 2 × 4
= 8 days
So, it will take 8 days to complete the order.
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The function f(x) is a quadratic function and the zeros of f(x) are 1 and 5. The y-intercept of f(x) is 20. Write the equation of the quadratic polynomial in standard form.
Answer:
4x² - 24x + 20 = 0
Step-by-step explanation:
a(1)² + b(1) + 20 = 0
a(5)² + b(5) + 20 = 0
a + b = - 20 ⇒ b = - a - 20 ...... (1)
25a + 5b = - 20 .......... (2)
(1) -----> (2)
25a + 5( - a - 20) = - 20
20a - 100 = - 20 ⇒ a = 4
4 + b = - 20 ⇒ b = - 24
4x² - 24x + 20 = 0
Ana took out a 4-year loan for 7,500 and paid 3.6% simple interest.How much was the total interest on the loan in dollars?
Answer:
I = $ 1,080.00
Step-by-step explanation:
Equation:
I = Prt
Calculation:
First, converting R percent to r a decimal
r = R/100 = 3.6%/100 = 0.036 per year,
then, solving our equation
I = 7500 × 0.036 × 4 = 1080
I = $ 1,080.00
The simple interest accumulated
on a principal of $ 7,500.00
at a rate of 3.6% per year
for 4 years is $ 1,080.00.
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