Answer:
x = 35.
Step-by-step explanation:
since they are odd, the second number isn't x + 1, it is x + 2.
x + x + 2 = 72
2x + 2 = 72
2x = 70
x = 35
The graph of y=√x is shifted 2 units down and 3 units left. Which equation represents the new graph?
A. y=√x-2-3
B. y=√x+2-3
C. y=√x+2+3
D. y=√x+3+2
the equation that represents the new graph is:
g(x) = √(x - 3) - 2
Which equation represents the new graph?
Here we start with the function:
y = f(x) = √x
First, we shift it 2 units down, then the new equation will be:
g(x) = f(x) - 2
Now we apply a horizontal shift, this time we shift the graph 3 units to the left, then the new equation is:
g(x) = f(x - 3) - 2
Now we replace f(x) = √x to get:
g(x) = √(x - 3) - 2
That is the equation that represents the new graph.
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A school club has 5 members. From these 5 members, a 2-person team must be chosen to represent the club at a school carnival. How many different 2-person teams can be made from the 5 club members?
A 10 teams
B 15 teams
C 20 teams
D 25 teams
Answer:
20 teams can be made
Answer:
A. 10 teams
Step-by-step explanation:
a 2-person team is a combination of two elements out of 5.
Then
The number of possible teams is :
[tex]C^{2}_5 = \frac{5!}{2! \times (5-2)!} = \frac{5!}{2! \times 3!}=10[/tex]
Use interval notation to express the set of real numbers x that satisfies the inequality (x+2)(x-5) < 0.
The interval notation to express the set of real numbers x that satisfies the given inequality is -2<x<5. You also can represent it as (-2,5)
Inequality
It is an expression mathematical that represents a non-equal relationship between a number or another algebraic expression. Therefore, it is common the use following symbols: ≤ (less than or equal to), ≥ (greater than or equal to), < (less than), and > (greater than).
The solutions for inequalities can be given by: a graph in a number line or numbers.
For solving this exercise, it is necessary to find a number solution for the given inequality.
First, you should find the critical points of the inequality.
x+2=0
x = -2
and
x-5=0
x=5
Write, the intervals in between critical points. Therefore, -2<x<5.
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In a certain company, there were five candidates running for President. After the vots were tallied, it turned out that Victor, like in the election, finished in thir place, and david beat him. Greg said that he didn't come in first, but he also didn't come in last. Mac in an interview, said that in this election he wasn't able to win, but at least he was one place hight than his old rival Bill. What place did each candidate come in?
Considering the situation described, the classification of the elections is given as follows, according to their order of finish:
David, Greg, Victor, Mac, Bill.
How to find the classification of the elections?We take the situation that is described, and build the classification from it. The classification has the following format:
P1 - P2 - P3 - P4 - P5
With P1 being the first placed candidate, P2 being the second placed candidate, and so on until P5 which is the fifth placed candidate.
From the text given in this problem, we have that:
Victor finished in third place, and David beat him, hence P3 = Victor, David = P1 or P2.Greg didn't come in first nor in last, hence, considering that Victor is P3, Greg = P2 or P4.Mac didn't win, but he finished higher than Bill, hence, considering that Mac didn't win and that Victor is P3, Mac = P4, Bill = P5.From the bullet points above, we can conclude that David = P1, Greg = P2.Hence the classification of the election is given by:
David, Greg, Victor, Mac, Bill.
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11 = 5 - b in verbal expression form
Answer: eleven equals five minus b
Step-by-step explanation: 11 = eleven. = equals equal. 5 = five. - = minus. b = b
Suppose a group of 12 students consists of five freshmen and seven sophomores. how many six-student teams can be chosen that consist of three freshmen and three sophomores?
The number of six-student teams possible where a team consists of three freshmen and three sophomores, from a group of 12 students consisting of five freshmen and seven sophomores using combinations is computed to be 350.
The combination is a process of calculating the number of ways of selecting a smaller set, from a larger set, when the order of selection is irrelevant.
In selecting x number of items, from n number of items, when the order of selection is irrelevant, we use the combination, to calculate the number of possible ways as follows:
nCx = n!/{(x!)((n - x)!)}.
In the question, we are asked for the number of six-student teams possible where a team consists of three freshmen and three sophomores, from a group of 12 students consisting of five freshmen and seven sophomores.
The number of ways of selecting 3 freshmen from 5, using a combination is:
5C3 = 5!/{(3!)((5 - 3)!} = 120/{6*2} = 120/12 = 10.
The number of ways of selecting 3 sophomores from 7, using a combination is:
7C3 = 7!/{(3!)((7 - 3)!} = 5040/{6*24} = 5040/144 = 35.
The total number of teams possible is the product of each.
Thus, the total number of teams possible is 5C3 * 7C3 = 10*35 = 350.
Thus, the number of six-student teams possible where a team consists of three freshmen and three sophomores, from a group of 12 students consisting of five freshmen and seven sophomores using combinations is computed to be 350.
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What would be the coefficient of determination r2 if the total sum of squares (sst) is 90 and the sum of squares due to error (sse) is 0 (zero)?
The coefficient of determination is 1.
Given
Total Sum of squares (SST) = 90
Sum of squares due to error (SSE) = 0
We have to find coefficient of determination.
The correlation of determination is the ratio of the explained variation to the total variation.
The coefficient of determination is used to analyze how differences in one variable can be explained by a difference in a second variable.
The coefficient of determination is also called r-squared or r-square.
Its the percentage of variation in the y-variable(response) that can be explained by the least squares regression line of y on x.
Coefficient of determination can be found with the following formula:
Formula of coefficient of determination :
[tex]R^{2} = 1 - \frac{SSE}{SST}[/tex]
= 1 - [tex]\frac{0}{90}[/tex]
= 1 - 0
= 1
[tex]R^{2}[/tex] = 1
Therefore,
The coefficient of determination is 1.
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Select all the types of quadrilaterals that describe DEFG.
A parallelogram D trapezoid
B rhombus E rectangle
C square
_________ DEFG maps out Xavier’s running route. If he does one complete loop, how far does he
run? (Each unit represents 1 mile) Round answer to the nearest whole mile. Show work below.
The quadrilaterals that describe DEFG include parallelogram, rhombus, and square
What is a quadrilateral?It should be noted that a quadrilateral simply means a close shape and a polygon that has four sides.
In this case, the quadrilaterals that describe DEFG include parallelogram, rhombus, and square. In a parallelogram, it should be noted that the sides are parallel to each other.
Therefore, the quadrilaterals that describe DEFG include parallelogram, rhombus, and square.
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42. There are eight squares on each side of a chessboard. How many squares are on a chessboard? Write an expression in exponent form then evaluate.
Answer:
Number of the squares on chessboard = 64
Exponent form = [tex]8^{2}[/tex]
Step-by-step explanation:
8 x 8 = 64
exponent form of of the chessboard
= [tex]8^{2}[/tex]
full of sand, the wagon weighs 100 pounds. If the wagon weighs 80 ounces when its empty, how much do the bags of sand weigh?
given,
wagon weight with sand = 100 pounds
wangon weight = 80 ounces ÷ 16 = 5 pounds
sand weight = 100 - 5 = 95 pounds//
What is the solution to the equation
O x = -3
x = -3 and x=0
O x = 0 and x = 3
O x = 3
X+3
2 ?
2x²
The solution to the equation 1/x = x + 3/2x^2 is x = 0 or x = 3
How to determine the solution to the equation?The equation is given as:
1/x = x + 3/2x^2
Cross multiply in the above equation
2x^2 = x^2 + 3x
Evaluate the like terms
x^2 - 3x = 0
Factor out x
x(x - 3) = 0
Solve for x
x = 0 or x = 3
Hence, the solution to the equation 1/x = x + 3/2x^2 is x = 0 or x = 3
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Answer:
The Answer Is "x=3"
Step-by-step explanation:
I just did it
Quadilateral ABCD is similar to quadilateral EFGD. Which angle of quadilateral ABCD corresponds to F
Answer:
< B.
Step-by-step explanation:
B corresponds to F.
The point -2,5 is reflected across the y-axis. Which of these is the ordered pair of the image?
A) (-2,5)
B) (2,5)
C) (-2,-5)
D) (2, -5)
Answer:
B) (2,5)
Step-by-step explanation:
The height of the pyramid in the diagram is three times the radius of the cone. The base area of the pyramid is the same as the base area of the
cone. What is the expression for the volume of the pyramid in terms of the radius of the cone?
OA V=²²
OB. V-2²
V=
OC V=2²2²
OD. V-²³
OE V-3²³
base area = B
base area B
The expression for the volume of the pyramid in terms of the radius of the cone is [tex]V=\pi r^{3}[/tex].
What is the pyramid?A pyramid is a structure that substantially resembles a pyramid in the geometric sense when its exterior surfaces are triangular and converge to a single step at the summit. A pyramid foundation might be triangular, quadrilateral, or any other type of polygon. A pyramid therefore has a minimum of three exterior triangular surfaces.The numerous forms of pyramids are categorized based on the base's shape. Let's now go over each sort of pyramid shape individually.It is thought that one of many ramp possibilities was made to drag the stones to the top as they were built higher after being transported across the desert.The expression for the volume of the pyramid in terms of the radius of the cone:
B= base area of the cone.
[tex]V=\pi r^{2}[/tex]
The volume of the Pyramid,
[tex]V=\frac{1}{3} *B*height[/tex]
[tex]$\Rightarrow V=\frac{1}{3} \times \pi r^{2} \times 3 \gamma$[/tex]
[tex]V=\pi r^{3}[/tex]
The expression for the volume of the pyramid in terms of the radius of the cone is [tex]V=\pi r^{3}[/tex]
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g(a) = 4a + 5
f(a) = a² + 2a
Find: g(f(a))
Step-by-step explanation:
g(f(a))=4(a²+2a) + 5
= 4a²+8a+5
The point-slope form of the equation of the line that passes through (–9, –2) and (1, 3) is y – 3 = one-half EndFraction(x – 1). What is the slope-intercept form of the equation for this line?
y = y equals StartFraction one-half EndFraction x plus 2.x + 2
y = y equals StartFraction one-half EndFraction x minus 4.x – 4
y = y equals StartFraction one-half EndFraction x plus StartFraction 5 Over 2 EndFraction.x +
y = y equals StartFraction one-half EndFraction x minus StartFraction 7 Over 2 EndFraction.x –
The slope-intercept form of given equation is y = 1/2x + 5/2.
According to the statement
we have given that the equation y-3 = 1/2(x-1) and the passing points are (–9, –2) and (1, 3).
And we have to find the slope-intercept form of the equation
slope-intercept form is the equation of a straight line in the form y = mx + b where m is the slope of the line and b is its y-intercept.
So, According to this
y-3 = 1/2(x-1)
convert this into y = mx +b form then
y-3 = 1/2x -1/2
here m is 1/2 and b is -1/2.
Then
y-3 = 1/2x -1/2
Add three on both sides then
y = 1/2x + 5/2
So, The slope-intercept form of given equation is y = 1/2x + 5/2.
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Answer:
its cccccccc
Step-by-step explanation:
WILL VOTE BRAINLIEST TO THE FIRST CORRECT ANSWER
Answer:
D
Step-by-step explanation:
The D answer choice is the correct functions needed to create the pictured graph, I have pictured these functions in a graphing calculator below
What are the zeros of the polynomial function: f(x) = x^3 - x^2 – 6x ?
Answer:
x=0, x=3, x=-2
Step-by-step explanation:
factor the equation
x(x^2-x-6)
factor more
x(x-3)(x+2)
set it equal to 0
x(x-3)(x+2)=0
plug in numbers for x that would result in the answer being 0
0(0-3)(0+2)=0
3(3-3)(3+2)=0
-2(-2-3)(-2+2)=0
Please help asap!!
Find the sum for the first 500 terms given the sequence -1,-3,-5,-7.....
Answer: -250000
Step-by-step explanation:
Sum of arithmetic terms = n/2[2a + (n - 1)d],
where 'a' is the first term,
'd' is the common difference between two numbers,
and 'n' is the number of terms.
'a' = -1
'd' = -2
'n' = 500
plug and chug
(500)/2[2(-1) + ((500)-1)*(-2)] =
250[-2 + -998] =
250[-1000] =
-250000
the probability that a boy will get scholarship is 0.75 and that a girl will get is 0.72 what is the probability that al least one of them will get scholarship is ?
The probability that at least one of them will get scholarship is 0.93
How to determine the probabilityThe given parameters are:
P(Boy) = 0.75
P(Girl) = 0.72
The probability that at least one of them will get scholarship is calculated using
P = P(Boy only) or P(Girl only) or P(Both)
This is then calculated as:
P = 0.75 * (1 - 0.72) + 0.72 * (1 - 0.75) + 0.72 * 0.75
Evaluate the products
P = 0.21 + 0.18 + 0.54
Evaluate the sum
P = 0.93
Hence, the probability that at least one of them will get scholarship is 0.93
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PLS HELP ASAP
Tarush is a landscape architect. For his first public project he is asked to create a small scale drawing of a garden to be placed in the corner of a city park. The garden is a right triangle with base 25\text{ m}25 m25, start text, space, m, end text and height 30\text{ m}30 m30, start text, space, m, end text.
Answer:
see attached
Step-by-step explanation:
Each grid square represents 5 m, so the distances shown on the grid will be scaled appropriately.
Scale drawingThe 25 m base dimension will be represented by (25 m)/(5 m/square) = 5 squares.
The 30 m height dimension will be represented by (30 m)/(5 m/square) = 6 squares.
The attached drawing shows the triangle with base 25 m and height 30 m on a 5 m grid.
A football is kicked toward the goal. the height of the ball is modeled by the function h(t) = −16t2 64t, where t equals the time in seconds and h(t) represents the height of the ball at time t seconds. what is the axis of symmetry, and how does it relate to the time the ball is in the air? t = 2; it takes the ball 2 seconds to reach the maximum height and 2 more seconds to fall back to the ground. t = 2; it takes the ball 2 seconds to reach the maximum height and 4 more seconds to fall back to the ground. t = 4; it takes the ball 4 seconds to reach the maximum height and 4 more seconds to fall back to the ground. t = 4; it takes the ball 4 seconds to reach the maximum height and 8 more seconds to fall back to the ground.
The function [tex]H(t) = -16t^2 + 64t[/tex] exists in a parabola.
The axis of symmetry of a parabola exists at the midpoint between the two real roots.
The roots exist the solutions of H(t) = 0
To estimate the roots equation exists [tex]-16t^2 + 64t = 0[/tex]
Factor t(-16t + 64) = 0
t = 0 and -16t + 64 =0
-16t + 64 = 0
t = 64 / 16 = 4
t = 4
Then the two roots are t = 0 and t = 4, and the axis of symmetry exists
t = (0+4)/2 = 4/2 = 2
How to estimate the axis of symmetry?The axis of symmetry exists at t = 2.
It represents the time at which the ball is at the higher point, the maximum height.
You can find the maximum height replacing t = 2 in the function H(t)
[tex]H(t) = -16(2^2) + 64(2)[/tex]
= 64 feet.
And you can also deduce that the second part of the flight will take 2 seconds, for a total flight time of 4 seconds.
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Answer:
answer is a
Step-by-step explanation:
it takes 2 seconds for the ball to reach maximum height and 2 seconds to fall on the ground.
t = 2; it takes the ball 2 seconds to reach the maximum height and 2 more seconds to fall back to the ground
Took the FLVS test!
There are 12 marbles in a box. 8 are purple, and 4 are green. What is the probability of picking a purple marble and then a green marble, without replacing the first marble?
Answer: 8/33
Step-by-step explanation:
So the probability of picking a purple marble is 8/12, after that there are 11 marbles left in the box
Now the probability of picking a green marble without placing the first marble back is 4/11
So the probability of doing both is 8/12 x 4/11 = 8/33
please help with algebra 2 question! arithmetic sequence
erica is playing a card game with her friend marquis. her points are shown in the following table:
round 1: 30 pts
round 2: 42 pts
round 3: 58.8 pts
marquis’s points in each round are represented by the following sequence:
50, 75, 112.5,…
in the table below, determine whether each row applies to eeica’s points or marquis’s points. select erica, marquis, or neither option.
(answers attached in pic) pls help!
Answer:
neitherMarquisEricaMarquisStep-by-step explanation:
The matching of exponential functions to table values involves matching both initial values and rate of growth. The value of a geometric series can be calculated from its formula, or can be shown by a calculator or spreadsheet.
Function determinationThe starting values of the two sequences are different, as are all of the starting values of the answer choices. Matching starting values is sufficient to identify which sum goes with which player.
The series ...
[tex]\displaystyle S=\sum_{k=1}^n{AB^{k-1}}[/tex]
gives the sum of a geometric sequence with first term A and common ratio B.
The first term of Erica's series is A=30. The ratio is B=42/30 = 1.4.
The first term of Marquis's series is 50. The ratio is B=75/50 = 1.5.
Using these values in the series formula, the total score after n rounds will be ...
[tex]\displaystyle \text{Erica:}\quad \sum_{k=1}^n{30(1.4)^{k-1}}\qquad\text{matches Row 3}\\\\\text{Marquis:}\quad \sum_{k=1}^n{50(1.5)^{k-1}}\qquad\text{matches Row 2}[/tex]
Total scoreThe explicit expression for these sums is ...
[tex]S=A\dfrac{B^n-1}{B-1}[/tex]
Then the total scores after 6 rounds are ...
Erica: 30(1.4^6 -1)/0.4 = 489.7152
Marquis: 50(1.5^6 -1)/0.5 = 1039.0625 . . . . . matches row 4
TableThen the required table gets filled in ...
neitherMarquisEricaMarquis__
Additional comment
The values in the attached table are total scores after each round. One must subtract the previous round's total to find the points scored in a given round.
The purpose of showing totals is to permit matching the value seen in Row 4 of the table.
Which of these tables represents a function?
Answer:
A. W
Step-by-step explanation:
Because their is a rhythm and pattern
Please help me on this one I got it wrong
Answer: E. 10,000,000 cubic millimeters
Step-by-step explanation: To find out any result from cubic centimeters to cubic millimeters, you multiply the cubic centimeters' value by 1000 to get the cubic millimeters' value.
10,000 * 1,000 = 10,000,000 cubic millimeters.
Hope this helped!
Step-by-step explanation:
The correct answer is E 10,000,00
Find the area of the shaded region if the dimensions of the unshaded region are 12ft x 20ft . use 3.14 for π as necessary.
The area of the shaded region = 810.66 ft²
What is rectangle?
A rectangle is a type of quadrilateral that has its parallel sides equal to each other and all the four vertices are equal to 90 degrees. Hence, it is also called an equiangular quadrilateral. Since, the opposite sides are equal and parallel, in rectangle, therefore, it can also be termed as a parallelogram.Area of Shaded region:
(12+2*7)*20 - 12*20 + 3.14*((12+2*7)/2)² =
14*20 + 530.66 =
810.66 ft²
Therefore, the area of the shaded region = 810.66 ft²
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An78swer:
Step-by-step explanation:
A coin is flipped twice. What is the probability of getting heads on the first flip and tails on the second flip?
Answer: 0.25 or 25%
Step-by-step explanation:
Answer:
25%
Step-by-step explanation:
50 points to whoever can answer!
Answer:
10724.29
Step-by-step explanation:
mean means average
so to find an average you add everything together then divide it by the amount of variables
m = (10150 + 10211 + 10424 + 10769 + 10884 + 11155 + 11477)/7
m = 75070/7
m = 10724.2857143
m = 10724.29
help please and show work 30 points
Answer:
The pair of shoes equal 18.
The boat equals 3
The chair equals 4
Step-by-step explanation:
Let x = shoes
You found the palm trees!
So the top picture would be
18 + x = 2x Subtract x from both sides
18 = x We found the value of the shoes.
Let's go so the last picture. We now know the shoes.
Let x = the boat now
18 = 6x Divide both sides by 6
x = 3 We found the value of the boat.
Finally, let's look at the second picture.
Let x = the chair now
3 + x = 7 Subtract 3 from both sides
x = 4 We found the value of the chair.
