[(7−5)÷12]×2
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Given the arithmetic sequence an = 3 + 2(n − 1), what is the domain for n?
A. All integers where n ≥ 0
B. All real numbers
C. All integers where n ≤ 1
D. All integers where n ≥ 1
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A, toy company manufactures arcade games. They are marketing a new pinball machine to children. It is similar in size to the adult version of the same game.
Adult pinball machine GAME with base ME measuring 35 inches and sides measuring 56 inches. Child pinball machine G prime A prime M prime E prime with base M prime E prime measuring 14 inches
If the perimeter of the adult pinball machine is 167 inches, what is the length, in inches of Segment line G prime A prime? Type the numeric answer only in the box below.
Which of the following is an example of a function?
{(-1, 0), (-1, 3), (3, 9), (5, 10}
{(1, 3), (2, 5), (3, 8), (4, 10)}
{(4, 6), (5, 9), (4, 7)}
{(0, 2), (0, 3), (1, 5), (4, 5)}
Orville traveled at a speed that was twice as fast as randy, Orville traveled 240 miles in one hour less than it took randy to travel 150 miles. What were the speed and time it took for both Orville and randy?
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Two angles of a triangle have the same measure and the third angle is 72degrees greater than the measure of the other two. find the measure of each angle.
a glass jar contains 1 red, 3 green, 2 blue, and 4 yellow marbles. if a single marble is chosen at random from the jar, what is the probability that it is red
[tex] |\Omega|=10\\
|A|=1\\\\
P(A)=\dfrac{1}{10}=10\% [/tex]
In how many ways can the letters of the word BANANA be rearranged such that the new word does not begin with a B?
First arrange the words in order:
AAABNN
so there are 3 A's, 1 B and 2 N's.
If there were no constraints,
Number of permutations = (3+1+2)!/(3!1!2!)=6!/(6*1*2)=720/(6*2)=60
Number of words that begin with B is to take out the B, that leaves us with
AAANN => 3 A's and 2 N's
=> 5!/(3!2!) = 120/(6*2)=10
Therefore the number of words that do NOT begin with B is
60-10 = 50 ways
A) how many ways can the letters in the word computer be arranged in a row?
b.how many ways can the letters of the word computer be arranged if the letters co must remain next to each other as a unit?
The permutation is defined as the arrangement number or order in which rearrangement of element in an order list.
(a) The letters in the word computer be arranged in a row is 40320.
(b) The letters of the word computer be arranged 5040 ways.
Given:
The given latter is COMPUTER.
How to find the permutation of latter?(a)
There are 8 letter in word COMPUTER. Calculate the number of ways in which we can arrange 8 letters.
[tex]8!=8\times7\times6\times5\times4\times3\times2\times1\\8!=40,320.[/tex]
Thus, the letters in the word computer be arranged in a row is
(b)
As per the question if we treat CO as a unit then there will only seven letters effective.
[tex]7!=7\times6\times5\times4\times3\times2\times1\\7!=5,040[/tex]
Thus, the letters of the word computer be arranged 5040 ways.
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Gina is a tour boat operator and she wants to know the mean age of all the people in her tour group.
She randomly selects 8 people in the group and asks them for their ages. Their responses are 19, 27, 25, 21, 44, 22, 45, and 34.
What is the best estimate of the mean age of all the people in the tour group?
Round to the nearest whole number.
Find the surface area
Mr ong spent $960 of his salary on food and transport.He spent 1/4 of his remaining money on clothes.He then had 1/3 of his salary left.How much was his salary?
match each graph with its corresponding equation
The graphs match the equations as follows:
Graph A: (−x+3)^2 -2
Graph B: (x−2)^2+3
Graph C : −(x+2)^2 +3
Graph D : 2(x−2)^2 +3
Equation (−x+3)^2 -2:
This equation is in the form of a quadratic function, y=a(x−h) ^2+k, where (h ,k) is the vertex of the parabola.
The vertex of the parabola is at (3,1), which matches the vertex of Graph A.
The coefficient a is negative, which tells us that the parabola opens downward.
The constant term k is −2, which tells us that the minimum value of the parabola is −2.
Equation (x−2)^2+3 :
This equation is in the form of a quadratic function, y=a(x−h) ^2 +k, where (h, k) is the vertex of the parabola.
The vertex of the parabola is at (2,3), which matches the vertex of Graph B. The coefficient a is positive, which tells us that the parabola opens upward.
The constant term k is 3, which tells us that the minimum value of the parabola is 3.
Equation −(x+2)^2 +3:
This equation is in the form of a quadratic function, y=a(x−h) ^2 +k, where (h, k) is the vertex of the parabola.
The vertex of the parabola is at (−2,3), which matches the vertex of Graph C.The coefficient a is negative, which tells us that the parabola opens downward.
The constant term k is 3, which tells us that the maximum value of the parabola is 3.
Equation 2(x−2)^2 +3 :
This equation is in the form of a quadratic function, y=a(x−h) ^2 +k, where (h ,k) is the vertex of the parabola.
The vertex of the parabola is at (2,3), which matches the vertex of Graph D. The coefficient a is positive and multiplied by 2, which tells us that the parabola opens upward and is stretched vertically by a factor of 2.
The constant term k is 3, which tells us that the minimum value of the parabola is 3.
What happens to people who don’t know toothpaste from putty?
Final answer:
Toothpaste is designed specifically for oral hygiene and contains abrasives and fluoride, unlike putty. Recognizing and using toothpaste instead of incorrect substances like putty is crucial for maintaining dental health.
Explanation:
When a person does not know how to distinguish between toothpaste and putty, they may lack basic knowledge about oral hygiene and the purpose of toothpaste. Toothpaste is formulated to clean and maintain the health of teeth; it usually contains abrasives that scrub the teeth and fluoride that helps prevent cavities.
It is essential to use toothpaste rather than any other substance, such as putty, which does not provide the same benefits and can be harmful if ingested. Learning to recognize and use toothpaste correctly is part of basic health awareness and contributes to overall wellbeing.
An ellipse has a center at the origin, a vertex along the major axis at (0, 17), and a focus at (0, −8). Which equation represents this ellipse?
Answer:
D
Step-by-step explanation:
One painter can paint a house in 12 hours another can paint the house in 8 hours, how long will it take for both of them to paint 1 house
If a rectangle measures 8 feet on the short side and 9.8 feet on the long side what is the area of the rectangle in square feet
If two angles are both vertical and supplementary, can we determine the angles? If so, what are they?
Answer:
Step-by-step explanation:
45
Steve buys 14 ounces of kiwis and 2 pounds of peaches.How many more ounces do the peaches weigh then the kiwis?
One hundred employees of a company are asked how they get to work and whether they work full time or part time. The table below shows the results. If one of the 100 employees is randomly selected, find the probability of getting someone who carpools or someone who works full time.
Full time Part time
Public Transportation 7 10
Bicycle 4 3
Drive alone 30 31
Carpool 6 9
The probability of getting someone who carpools or someone who works full time is 0.36.
Explanation:To find the probability of getting someone who carpools or someone who works full time, we need to add the probabilities of the two events.
The probability of getting someone who carpools is 6/100 and the probability of getting someone who works full time is 30/100.
So the probability of either event happening is (6/100) + (30/100) = 36/100 = 0.36.
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Find the 12th term in the following geometric sequence. 0.75, 1.5, 3, 6, . . .
Answer:
1536
Step-by-step explanation:
Given : A geometric sequence 0.75, 1.5, 3, 6, . . .
To Find:Find the 12th term
Solution:
0.75, 1.5, 3, 6, . . .
First term =a = 0.75
Common difference = [tex]r = \frac{a_3}{a_2} =\frac{a_2}{a_1}=\frac{1.5}{0.75}=\frac{3}{1.5}=2[/tex]
nth term of G.P. = [tex]a_n=a r^{n-1}[/tex]
Where a = First term = 0.75
r = common difference = 2
Substitute n = 12
[tex]a_{12}= 0.75 (2)^{12-1}[/tex]
[tex]a_{12}= 0.75 (2)^{11}[/tex]
[tex]a_{12}= 1536[/tex]
Hence the 12th term in the geometric sequence. 0.75, 1.5, 3, 6, . . . is 1536.
For these two rules, the second number in the ordered pair is always three times greater than the first number. If the relationship between the two numbers in each ordered pair is the same, the graph will be: Not graph-able A straight line A circle An exponential curve A parabolic curve
Find the equation of the line whose x-intercept is 8 and y-intercept is -2. write the equation in slope-intercept form.
To determine the equation of the line with x-intercept 8 and y-intercept -2, the slope is calculated to be 1/4. Thus, the line's equation in slope-intercept form is y = (1/4)x - 2.
To find the equation of a line with an x-intercept of 8 and a y-intercept of -2, we'll first determine the slope of the line (m) and then use the slope-intercept form (y = mx + b).
Two points on this line are (8,0) and (0,-2). The slope (m) of a line is calculated by the change in y divided by the change in x, which in this case is
(0 - (-2)) / (8 - 0) = 2 / 8 = 1 / 4.
Now we know the slope is 1/4 and the y-intercept (b) is -2, so the equation of the line in slope-intercept form is:
y = (1/4)x - 2
A right triangle has sides measuring 5 inches, 12 inches, and 13 inches. What is the area, in square inches, of this triangle ?
Final answer:
The area of a right triangle with sides of 5 inches and 12 inches as the base and height, respectively, is 30 square inches, calculated using the formula A = (base × height) / 2.
Explanation:
The area of a right triangle is calculated by multiplying one-half the base by the height: A = (base × height) / 2.
In the case of a right triangle with sides measuring 5 inches, 12 inches, and 13 inches, the 5-inch and the 12-inch sides are the legs and thus can be used as the base and height. Using the formula for the area of a right triangle:
A = (5 × 12) / 2
A = 60 / 2
A = 30 square inches
Therefore, the area of this triangle is 30 square inches.
Which graph shows a polynomial function of an even degree?
From 1992 through 2007, the purchasing power of a dollar decreased by about 3.5% per a year. Using 1992, as the base for comparison, what was the purchasing power of a dollar in 2007? Formula: y=C(1−r)t
$0.48
$0.57
$0.44
$0,59
The ratio of gold charms to silver charms is 1:3. Which statement does not describe the relationship?
The ratio of gold charms to silver charms is 1:3, with 1 representing the number of gold charms and 3 representing the number of silver charms. The statement that does not describe the relationship is the one that does not accurately represent this ratio.
Explanation:The ratio of gold charms to silver charms is 1:3. In this ratio, the first number (1) represents the number of gold charms, and the second number (3) represents the number of silver charms. Therefore, the statement that does not describe the relationship is the one that does not accurately represent this ratio.
A plane intersects a double-napped cone such that the plane intersects both nappes through the cone's vertex. which terms describe the degenerate conic section that is formed? select each correct answer. degenerate parabola pair of intersecting lines point line degenerate hyperbola degenerate ellipse
Answer with explanation:
It is given that, a plane intersects a double-napped cone such that the plane intersects both Nappes through the cone's vertex.It also depends on how thick or thickness of the plane:
1.We can surely say that degenerate hyperbola will be formed,whatever be the thickness of Plane.
2. Two parallel lines=pair of intersecting lines ,because both ,A double napped cone and Plane is three dimensional shape.Instead of intersecting lines ,two parallel lines which we call pair of intersecting lines, will be formed.
What is the constant of proportionality in the equation 6y=3x6y=3x6, y, equals, 3, x?
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