Answer:
Answer choice A
Step-by-step explanation:
For the first letter, there are 26 options, as there are for the second and third letter. For each of the three numbers, there are 10 digits to choose from. Therefore, 26*26*26*10*10*10=17,576,000, or answer choice A. Hope this helps!
Option (A) the number of different ways of license plate arrangements are 17,576,000 is the correct answer.
What is a permutation?A permutation is an arrangement of objects in a definite order. It is a mathematical technique that determines the number of possible arrangements in a set when the order of the arrangements matters.
For the given situation,
A state license plate consists of three letters followed by three digits.
There are 26 letters from a to z and 10 digits from 0 to 9.
The license plate consists of three letters and three digits so the possibility of arrangements are
⇒ [tex](26)(26)(26)(10)(10)(10)[/tex]
⇒ [tex]17576000[/tex]
Hence we can conclude that option (A) the number of different ways of license plate arrangements are 17,576,000 is the correct answer.
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What is the equation of the line that passes through the point (-6,-6)(−6,−6) and has a slope of 2/3?
Answer:
y = 2/3 x -2
Step-by-step explanation:
We have a point and a slope
y = mx+b
The slope, m, = 2/3
y = 2/3 x+ b
The point is (-6,-6)
Substitute this into the equation to solve for b
-6 = 2/3 (-6) +b
-6 = -4+b
Add 4 to each side
-6+4 = -4+4+b
-2 =b
Substitute into the equation
y = 2/3 x+ b
y = 2/3 x -2
85 out of 350 books in the library are about Mysteries.
What percent of the books are Mystery books?
What is an equation of a line through the points (-3,-2) and(3,6)? Put your answer in fully reduced form.
Answer:
m=6+2/3+3=8/6=4/3
y-y1=m(x-x1)
Y+2=4/3(x+3)
Y=4x/3 +4-2
y=4/3 x+2
Step-by-step explanation:
Mr. Sanford left half of his fortune to April, his daughter. He left of the remaining half to his uncle Jed. He left half of the remaining half to his favorite charity. He left the remaining $30,000 to the local animal shelter. What was the total amount of Mr. Sanford’s fortune?
9514 1404 393
Answer:
$240,000
Step-by-step explanation:
Let f represent Mr. Sanford's fortune.
1/2x went to April, so 1/2x remains.
1/2(1/2x) = 1/4x went to Jed, so 1/2x -1/4x = 1/4x remains.
1/2(1/4x) = 1/8x went to charity, so 1/4x -1/8x = 1/8x remains.
That remaining 1/8x was $30,000, so the total amount of Mr. Sanford's fortune was ...
8 × $30,000 = $240,000
peter had 140 candies. he kept 28 candies for himself and gave the rest away. What percentage of his candies did he give away?
Geometry Question!!!
Answer:
EB = 20
Step-by-step explanation:
Given 2 chords intersecting inside a circle, then
Th product of the parts of one chord is equal to the product of the parts of the other chord, that is
10x = 8(x + 5) ← distribute
10x = 8x + 40 ( subtract 8x from both sides )
2x = 40 ( divide both sides by 2 ), thus
x = EB = 20
Select the correct answer. Use the discriminant to determine the number of real solutions to the quadratic equation given below. two real solutions one real solution infinite solutions no real solutions
Answer:
where is the equation
Step-by-step explanation:
b^2-4ac>o 2 real #zeros 2 x-intercepts
b^2-4ac=0 1 real number zeros 1 x-intercepts
b^2-4ac<0 0 real number zeros 0 x-intercepts
Miss Quinn made 4 loaves of bread for a dinner party. She cut one loaf in half and put a piece in her freezer. She then divided the remaining full loaves of bread into sixths. Her guests ate 7 pieces. How much bread does Miss Quinn have left?
Answer:
2 5/6
Mrs Quinn has 2 full loaves of bread and 5 pieces of the 1/6 portions of the bread.
Step-by-step explanation:
Mrs Quinn had 4 loaves of bread
1 loaf was divided into two halves
1/2 was kept in the freezer
3 loaves was divided into 1/6 pieces
Step 1
How many 1/6 pieces can we find in 3 loaves?
1 loaf of bread = 6 pieces of 1/6 portions of bread
3 loaves of bread =
3× 6 pieces = 18 pieces of 1/6 portions of bread in total.
From the question, her guests ate 7 pieces
The number of pieces left = 18 - 7
= 11 pieces left.
Step 2
We are asked how many loaves of bread does Mrs Quinn have left?
This is calculated by adding up the 11 pieces of 1/6 portions of the bread with the first loaf of bread that she divided into 2
The total would be
= 1 loaf + 11 pieces of 1/6 sizes of bread
= 1 loaf + 11( 1/6)
= 1 + 11/ 6
= 1 + 1 5/6
= 2 5/6
Therefore Mrs Quinn has 2 full loaves of bread and 5 pieces of the 1/6 portions of the bread.
Final answer:
After dividing and serving bread at her dinner party, Miss Quinn has 11 pieces of bread plus the half loaf she initially put in her freezer left.
Explanation:
Miss Quinn made 4 loaves of bread for a dinner party. She cut one loaf in half and put a piece in her freezer. She then divided the remaining full loaves of bread into sixths. Her guests ate 7 pieces. How much bread does Miss Quinn have left?
First, let's figure out how many pieces of bread Miss Quinn had after cutting and dividing the loaves. She had 4 loaves of bread total. After cutting one loaf in half and storing one half, she was left with 3.5 loaves. She then divided the 3 full loaves into sixths, resulting in 18 pieces (3 loaves × 6 pieces), plus the half loaf she did not cut into sixths. Therefore, before the guests ate, Miss Quinn had 18 pieces + 1 half loaf (considered as 1 unit here), for a total of 19 units of bread.
Her guests ate 7 pieces of the bread divided into sixths, leaving Miss Quinn with 18 - 7 = 11 pieces of the sixths and the half loaf in the freezer. Therefore, Miss Quinn has 11 pieces of bread + 1 half loaf left after her guests have eaten.
how many ways can a team of 6 volleyball players be chosen from a roster of 12 players
1 way
is this like a trick question lol
The students in Marly’s math class recorded the dimensions of their bedrooms in a frequency table.
2-column table with 5 rows. First column labeled area (square feet) with entries 60 is less than or equal to A is less than 80, 80 is less than or equal to A is less than 100, 100 is less than or equal to A is less than 120, 120 is less than or equal to A is less than 140, 140 is less than or equal to A is less than 160. Second column labeled number of rooms with entries 4,6,5,3,1.
Create a histogram to represent the data. Which statement is most likely true about the mean and the median of the data?
The histogram is right-skewed, so the mean is less than the median.
The histogram is right-skewed, so the mean is greater than the median.
The histogram is left-skewed, so the mean is less than the median.
The histogram is left-skewed, so the mean is greater than the median.
Answer:
The histogram is right-skewed, so the mean is greater than the median.
Step-by-step explanation:
The true statement about the mean and the median of the data is that: B. histogram is right-skewed, so the mean is greater than the median.
What is a histogram?A histogram refers to a type of chart that is used to graphically represent and display a set of data points into user-specified ranges, especially through the use of bars (rectangles).
Based on the distribution table, we can deduce the following points:
The frequencies of the bedroom areas are not equal.The frequencies of the first three bedroom areas are greater than the last two (2) areas, which implies that there would be more data on the left side.This ultimately implies that, the distribution of data on the histogram is right-skewed and as such the mean is greater than the median.
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How many seconds will it take the object to reach the ground?
It will take approximately 5.05 seconds for the object to reach the ground.
Explanation:In order to determine how long it will take an object to reach the ground, we need to consider the height from which the object is dropped. Let's assume the height is 75.0 m.
The time it takes for an object to fall to the ground can be calculated using the equation t = sqrt(2h/g), where t is the time, h is the height, and g is the acceleration due to gravity (approximately 9.8 m/s^2).
Plugging in the values, t = sqrt(2 * 75.0 / 9.8) = sqrt(150 / 9.8) ≈ 5.05 seconds.
Therefore, it will take approximately 5.05 seconds for the object to reach the ground.
If a sample of 2.00 moles of NO gas was reacted with excess
oxygen, how many moles of nitrogen dioxide gas would be
produced?
Answer:
2 moles
Step-by-step explanation:
first you have to balance the equation:
2NO + O2⇒2NO2
then set up your mole to mole ratio
2 mol NO2/2 mol NO
multiply by the given 2.00 mol NO gas
and you should get 2 mol NO2
Final answer:
Starting with 2.00 moles of nitrogen monoxide (NO) and reacting it with excess oxygen (O2) will produce 2.00 moles of nitrogen dioxide (NO2) based on the 1:1 mole ratio from the balanced chemical equation.
Explanation:
The student is asking about the stoichiometry of a chemical reaction involving nitrogen monoxide (NO) and oxygen (O2) to produce nitrogen dioxide (NO2). In the balanced chemical equation, the reaction is typically represented as 2NO + O2
ightarrow 2NO2. Following the mole ratio from the balanced equation, 1 mole of NO reacts with 1/2 mole of O2 to produce 1 mole of NO2. Consequently, if you start with 2.00 moles of NO, you would also produce 2.00 moles of NO2 given that oxygen is in excess and will not limit the reaction.
This is because the balanced chemical equation shows the NO and NO2 in a 1:1 mole ratio. Therefore, the number of moles of reactants you start with will directly determine the number of moles of products formed, assuming you have an excess of the other reactants.
A baby elephant can weigh 170 pounds at birth. Approximately how many kilograms is this?
Answer:
77.1107
Step-by-step explanation:
for an approximate result, divide the mass value by 2.205
hopefully this help's
Answer:
170lbs = 77.1107
Step-by-step explanation:
1lb=0.453592
Which decimal is equivalent to the fraction 115?
Answer:
115 is not a fraction, but it's 1.15 if you meant 115%
Find the slope (-1,7),(-6,1)
Answer: m = 6/5
Step-by-step explanation:
The Formula to find m is m = y2 - y1 / x2 - x1.
So for this problem I did 7 - 1 / -1 - (-6) which would equal 6/5.
Marco has 1/5 of his clothes in the laundry. What percent of his clothes are in the laundry
Answer:
20%
Step-by-step explanation:
1/5=.2
.2*100=.20%
find the limit of the function by using direct substitution as X approaches one lim(x^2-8x -2)
Answer:
[tex] lim_{x \to 1} x^2 -8x -2 =-9[/tex]
Step-by-step explanation:
For this case we want to find the following limit:
[tex] lim_{x \to 1} x^2 -8x -2 [/tex]
And we can find the limit distirbuting into each term like this:
[tex] \lim_{x \to 1} x^2 -8 lim_{x \to 1} x -lim_{x \to 1} 2 [/tex]
And replacing we got:
[tex] 1^2 - 8*1 -2 = 1-8-2 = -9[/tex]
So then the final answer for this case is:
[tex] lim_{x \to 1} x^2 -8x -2 =-9[/tex]
Area of the 8 ft by 5 ft rectangle
Answer:
40 sq ft.
Step-by-step explanation:
Area is l x w, where 8 is the length and 5 is the width. so you multiply 8 x 5, and you get 40 sq ft.
Answer:
40 sq ft
Step-by-step explanation:
I need to figure this out
Answer:
A+ B is the radius of the circle
When we draw line AE it is also a radius of the circle
Line EC^2 = AE^2 -AC^2
Line EC^2 = 8^2 -5^2
Line EC^2 = 64 -25
Line EC^2 = 39
EC = square root of 39 = 6.2449979984
EC = 6.245 rounded.
Step-by-step explanation:
A bottle holds 24 ounces of water. It has x ounces of water in it. Write an equation to represent this situation. Remember: An equation needs to have an equal sign and a variable (letter) to represent the unknown amount.
Answer:
x=24
Step-by-step explanation:
The bottle has 24 ounces of water in it. Then it said it had x ounces in it. So that's very easy, x=24 because they are equal. :D
Answer:
im pretty sure it is x=24 because the x value is the ounces. The bottle holds 24 ounces of water. In the bottle how many? Answer is x=24
Step-by-step explanation:
NEED HELP ESTIMATING!!
kale= 1 oz
carrots=4 oz
potatoes= 4 oz
beets=2 oz
What is the probability of tossing 3 heads in a row when flipping a coin?
Answer:
0.125
Step-by-step explanation:
Assuming the coin is fair (most coins are not completely fair) and that the person flipping is not able to control the tosses (some people can) then the chance is 0.125. On each flip, the chance is 1/2. The combination is simply the product of three tosses, since the events are independent.
Hope this helped!♥
30 POINTS! PLEASE ANSWER I SM VERY CONFUSED! Solve the equation 1 4 (16 + 12x) = 28 by first using the distributive property. The equivalent equation is found by distributing the One-fourth to get . The first step is . The second step is . The answer is .
Answer:
x=8.
Step-by-step explanation:
Distribute the 1/4 to get:
4+3x= 28.
Now, subtract both sides by 4, giving you:
3x= 24.
Divide both sides by 3, resulting in:
x=8.
Answer:
x=8.
Step-by-step explanation:
Distribute the 1/4 to get:
4+3x= 28.
Now, subtract both sides by 4, giving you:
3x= 24.
Divide both sides by 3, resulting in:
Lin is planning a birthday party at a restaurant. She has $566.25 to spend on the party. It costs $225 to rent a private room at the restaurant and $16.25 per person for the meal. How many people can Lin invite to the party?
Answer:
21
Step-by-step explanation:
first do 566.25 - 225. then divide that answer by 16.25
Anna is asked to find a common multiple of 9 and 29. Which number could be the multiple?
Answer:
261
Step-by-step explanation:
LCM(9, 29)
= 3 × 3 × 29
= 261
Answer: The Greatest Common Multiple is 1 and the Least Common Multiple is 261
Step-by-step explanation:
a right triangle with an angle of approximately 53.1 is inscribed in the first quadrant of the unit circle with a horizontal length of 3/5 and a vertical length of 4/5 complete the table for the following trigonometric functions
In a right triangle with an angle of 53.1 degrees, and sides 3/5 and 4/5, the sine is 4/5, the cosine is 3/5, and the tangent is 4/3. aThese methods and results are a fundamental part of understanding trigonometric functions in Mathematics.
Explanation:In this scenario, you were given a right triangle inscribed in the first quadrant of the unit circle. The angle of the triangle is given as 53.1 degrees, the horizontal length (adjacent side) is 3/5, and the vertical length (opposite side) is 4/5. We can calculate the trigonometric functions based on this. Trigonometry revolves around the relationship between side lengths of triangles and the angles they form.
Sine (sin) of an angle is defined as the ratio of the length of the side that is opposite the angle to the length of the longest side of the triangle (hypotenuse). Here, sin(53.1) = Opposite/Hypotenuse = 4/5.
The Cosine (cos) of an angle is defined as the ratio of the length of the adjacent side of the angle to the hypotenuse. So, cos(53.1) = Adjacent/Hypotenuse = 3/5.
The Tangent (tan) of an angle is the ratio of the sine of the angle to the cosine of the angle, which also equals the ratio of the opposite side to the adjacent side. Tan(53.1) = Sin(53.1)/Cos(53.1) = (4/5) / (3/5) = 4/3.
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The sine, cosine, and tangent of an angle in a right triangle inscribed in the first quadrant of the unit circle are respectively equal to the ratios of opposite/hypotenuse, adjacent/hypotenuse, and opposite/adjacent sides. So, in your case where the triangle has an angle of 53.1 degrees, horizontal length 3/5, and vertical length 4/5, sinθ = 4/5, cosθ = 3/5, and tanθ = 4/3.
Explanation:In the right triangle you mentioned, the hypotenuse is the radius of the unit circle which is 1, the horizontal length (adjacent side, often represented as x) is 3/5, and the vertical length (opposite side, often represented as y) is 4/5. The quoted angle, usually symbolized as θ, is 53.1 degrees. With this information, we can calculate the trigonometric functions as follows:
Sine (sin) of θ is defined as the ratio of the opposite side to the hypotenuse. So, sinθ = y/h = 4/5 Cosine (cos) of θ is the ratio of the adjacent side to the hypotenuse. So, cosθ = x/h = 3/5 Tangent (tan) of θ is the ratio of the opposite side to the adjacent side. So, tanθ = y/x = (4/5) / (3/5) = 4/3 Learn more about Trigonometric Functions here:
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At the present time, Daniel is 8 years older than his cousin William. In two years' time, Daniel will be 3 times older than William is at the present time. How old is Daniel at the present time?
Answer:
Daniel is 10 years old presently
Step-by-step explanation:
Since we do not know the ages of both people, we assign variables.
Let Daniel’s present age be d while Willam’s present age is w
Daniel is 8 years older;
Mathematically;
d = w + 8 •••••••••••(i)
In two years time Daniel’s age will be d + 2 while William’s age will be w + 2
We know that Daniel will be 3 times as old as Williams will be in these two years time
Mathematically;
d + 2 = 3(w + 2) ••••••• (ii)
From equation 1, we have w = d-8
we substitute this into equation ii
d + 2 = 3(d-8+2)
d + 2 = 3(d-6)
d + 2 = 3d - 18
3d - d = 18 + 2
2d = 20
d = 20/2
d = 10 years
Given that Lorenzo paid more than $30 for a ticket, what is the probability that he purchased the ticket at the box office?
This question is incomplete and it also lacks an attached diagram.
Find attached to this answer the appropriate diagram.
Complete Question:
The conditional relative frequency table was generated using data that compared the cost of one ticket for a performance and the method by which the ticket was purchased.
Given that Lorenzo paid more than $30 for a ticket, what is the probability that he purchased the ticket at the box office? Express the answer in decimal form
Answer:
0.14
Step-by-step explanation:
From the attached diagram, we were given a table that contained known values:
The number of tickets that were purchased online we have 2 categories
a) Not more than $30 = 0.7
b) More than $30 = 0.86
The number of tickets that were purchased at the box office also had 2 categories.
a) Not more than $30 = 0.3
b) More than $30 = 0.14
The probability that the ticket Lorenzo paid more than $30 for was purchased at the box office
= P( more than $30 at the box office)
= 0.14
Answer: A or 0.14
Step-by-step explanation:
Trust me sir
The volume of a cone is 1004.8 cubic inches. The height of the cone is 15 inches. What is the radius of the cone, rounded to the nearest inch? (Use π = 3.14.) (1 point) Group of answer choices 64 32 8 4
Answer:
r = 8 inches
Step-by-step explanation:
[tex]\frac{1}{3}\pi r^{2}h=1004.8\\\\\frac{1}{3}*3.14*r^{2}*15=1004.8\\\\3.14*r^{2}*5=1004.8\\\\r^{2}=\frac{1004.8}{3.14*5}\\\\r^{2}=64\\\\r=\sqrt{64}\\\\ r=8[/tex]
You have a tree in your yard 4 ft to the left of and 5 ft in front of the corner of your porch. A circular fence 3 ft in radius has its center at the tree. If the corner of your porch is the origin and forward is the positive y direction, what equation represents the circle formed by the fence in your yard?
Answer:
[tex](x+4)^2+(y-5)^2=9[/tex]
Step-by-step explanation:
If the corner of your porch is the origin
4 ft to the left, x=-45 ft in front, y=5The tree's location is at (-4,5).
A circular fence 3 ft in radius has its center at the tree(-4,5).We want to determine the equation of a circle with center (-4,5) and radius 3 ft.
The equation of a circle center (h,k) with a radius of r is given as:
[tex](x-h)^2+(y-k)^2=r^2[/tex]
(h,k)=(-4,5), r=3
The equation formed by the fence therefore is:
[tex](x-(-4))^2+(y-5)^2=3^2\\\\$Simplifying we obtain:\\\\(x+4)^2+(y-5)^2=9[/tex]