Answer:
21
Step-by-step explanation:
The amount added to each of the 3 sides is a rectangle 6.25 m by 1.5 m.
Then there are two square corners added that each one is 1.5 m by 1.5 m.
Total added area = 3 × 6.25 m × 1.5 m + 2 × 1.5 m × 1.5 m
Total added area = 28.125 m² + 4.5 m²
Total added area = 32.625 m²
The area of each tile is:
0.25 m × 0.25 m = 0.0625 m²
A box of tiles has 25 tiles. The total area covered by a box of tiles is:
25 × 0.0625 m² = 1.5625 m²
The number of boxes need is:
32.625 m² / 1.5625 m² = 20.88
Since 20.88 boxes are needed, but she needs to buy full boxes, she needs 21 boxes of tiles.
Answer: 21
Evaluate the expression for n = 2 and p = –6.
np + n =
Answer: -10
Step-by-step explanation:
Substitute the numbers in for the variables.
np + n = (2)(-6) + 2
-12 + 2
-10
PROBLEM SOLVING A train travels from Orlando to Miami, and then back to Orlando. The table shows the numbers of tickets purchased for each leg of the trip. The cost per ticket is the same for each leg of the trip. Is there enough information to determine the cost of one coach ticket?
Answer:
Step-by-step explanation: 10.75
Solve for rrr.
Give an exact answer.
\dfrac12r-3=3\left(4-\dfrac32r\right)
2
1
r−3=3(4−
2
3
r)start fraction, 1, divided by, 2, end fraction, r, minus, 3, equals, 3, left parenthesis, 4, minus, start fraction, 3, divided by, 2, end fraction, r, right parenthesis
r =r=r, equals
The solution for r in the equation is r = 3
How to determine the solution for r in the equation?From the question, we have the following parameters that can be used in our computation:
\dfrac12r-3=3\left(4-\dfrac32r\right)
Rewrite the above expression properly, as a fraction
So, we have the following representation
1/2r - 3 = 3(4 - 3/2r)
To start with, we need to open the brackets
So, we have the following representation
1/2r - 3 = 12 - 9/2r
Next, we multiply through by 2 to eliminate the fraction
This gives
r - 6 = 24 - 9r
Solving further, we collect the like terms
So, we have
r + 9r = 24 + 6
Evaluate the like terms
10r = 30
So, we have
r = 3 --- by dividing both sides by 10
Hence, the solution is 3
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Let f(x) = -3x² - 1 and g(x) = -5x. Find f(g(x)).
-15x²-1
0-75x²-1
15x²+5
15x² + 5x
Answer:
[tex] \huge{ \boxed{f(g(x)) = - 75 {x}^{2} - 1}}[/tex]
Step-by-step explanation:
To find f(g(x)), substitute g(x) into f(x). That is for every x found in f(x), replace it by g(x) and solve.
[tex]f(x) = - 3 {x}^{2} - 1 \\ g(x) = - 5x[/tex]
[tex]f(g(x) )= - 3 ({ - 5x})^{2} - 1 \\ = - 3(25 {x}^{2} ) -1 \\ = - 75 {x}^{2} - 1 \: \: \: \: \: \: [/tex]
We have the final answer as
[tex] \bold{f(g(x)) = - 75 {x}^{2} - 1}[/tex]
the arithmetic progressions{2,5,8,11, . . .}and{3,10,17,24, . . .}have some common values. what is the largest value less than 500 that they have in common?
The largest value less than 500 that both sets have common is 479.
We have given two arithmetic progression such that,
{2,5,8,11,...} and {3,10,17,24,...}
and we have to find the largest value less than 500 that they have in common.
We know the formula for the nth term of the arithmetic progression,
i.e, an = a + (n - 1)d
for the arithmetic progression {2,5,8,11,...} the formula become
am = 2 + (m - 1)3 ----------- (1)
and for the arithmetic progression {3,10,17,24,...} the formula become
an = 3 + (n - 1)7 ------------- (2)
by solving for m and n we get,
m = 160 and n = 69
so equation (1) implies that,
a(160) = 2 + (159)3 = 479
this is the 160th term in the 1st arithmetic progression
and equation (2) implies that,
a(69) = 3 + (68)7 = 479
this is the 69th term in the 2nd arithmetic expression.
Therefore, the value which less than 500 that both the progressions have in common is 479.
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Please Simplify
√81x2
Answer:
18
Step-by-step explanation:
1)since 9*9 = 81 the square root of 81 is 9
9*2
2)simplify
18
Can someone Explain to me how to do this step by step
The diameter of IC 1101 is 50 times greater than the diameter of the Milky way.
What does diameter mean?Diameter is a measurement that goes all the way around from starting point to the end point.
Given, the largest galaxy IC 1101 has a diameter of 5 * 10²² and the Milky way has a diameter of 1 * 10²¹.
Diameter of IC 1101 = 5 * 10²²
Rearranging the above term;
Diameter of IC 1101 = 1 * 5 * 10²¹ * 10
Diameter of IC 1101 = 1 * 10²¹ * 50
Diameter of IC 1101 = 50 * diameter of Milky way
Therefore, the answer is 50 times.
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Alr last 1 HELP ME OUT……..
Answer: 89.7
Step-by-step explanation:
The wholesale cost of a dining room table at a fumiture store is $1,215.80. The markup for the table is 30%. What is the selling price of the dining room table?
Answer
$1,580.54
1215.80×(1+0.3)= 1580.54
The city council voted on a new tax. 63 council members voted in favor of the tax. The
council has 90 members. What percentage of the council members voted in favor of the tax?
Write your answer using a percent sign (%).
Answer: 70%
Step-by-step explanation:
Select the price per unit in blanks a. And b, and choose which is the best buy. A. Tomato juice, 46 oz. Can for $2. 53 would = b. Tomato juice, 6-pack of 10 oz. Cans for $4. 50 would = c. The best buy would be.
The first deal in which 1 can costs $0.055, is the best buy as it costs $0.020 less than the second deal in which 1 can costs $0.075.
Given, A Tomato juice 46 oz. Cans cost $2. 53
B Tomato juice 6-pack of 10 oz. Cans costs $4. 50
we have to find the best buy between the given two.
In first case,
46 cans cost $2.53
46 cans = $2.53
1 can = 2.53/46
1 can costs $0.055
In second case,
60 cans cost $4.50
60 cans = $4.50
1 can = 4.50/60
1 can costs $0.075
So, it is clear that first deal in which 1 can costs $0.055, is the best buy as it costs $0.020 less than the second deal in which 1 can costs $0.075.
Hence, the first deal in which 1 can costs $0.055, is the best buy as it costs $0.020 less than the second deal in which 1 can costs $0.075.
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E. Realiza las divisiones de polinomio
a) (15a²-a-28)÷(3a + 4) =
Given that the dividend is 15a²-a-28 and the divisor is 3a+4, the quotient will be 5a-7 and the remainder will be 0.
What is polynomial?A multi-term algebraic statement is referred to as a polynomial. It contains exponents, coefficients, variables, constants, and arithmetic operators. It uses a polynomial long division algorithm to divide the polynomials. It is the long division technique in a more generalized form. In this method, a polynomial is divided by other polynomials of the same degree or lower. Synthetic division method is a simple and quick technique that is occasionally employed as well.
Here,
dividend=15a²-a-28
divisor=3a+4
remainder=0
15a²-a-28=(3a+4)(5a-7)
quotient=5a-7
The quotient will be 5a-7 and remainder will be 0 as dividend is 15a²-a-28 and divisor is 3a+4.
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A store manager would like to set the three-digit code of the store's new safety vault. How many possible 3-digit code choices does he have if he can pick digits from 0 to 9 with repetition allowed?.
Answer: 270 I think
Step-by-step explanation:
try it you can get this right
A function is represented by the graph.
Complete the statement by selecting from the drop-down menu.
The y-intercept of the function y = 3x + 2 is
Choose...
the y-intercept of the function represented in the graph.
A graph with a line through point (0, 2) and point (2, 6)
We want to finish each statement by analyzing the graph provided.
The function's y-intercept is y =2.
y = 3x+2 is the equation.
The line connects (0, 2) and (2, 6).
What is meant by a function?The earliest known attempt to the concept of function may be traced back to the works of Persian mathematicians Al-Biruni and Sharaf al-Din al-Tusi. Functions were initially the idealization of how a variable quantity depended on another quantity. The position of a planet, for example, is a function of time.
So, first, we need to find the y-intercept. We know that the y-intercept is the y-value at which the function intersects the y-axis, and we can see from the graph that the y-intercept is y = 2.
Then we'd like to see the line's equation.
Remember that y = ax + b is a generic line.
Where a denotes the slope and b the y-intercept, we may deduce:
y = ax + 2
We know that if a line passes through two points (x₁, y₁) and (x₂, y₂), then the slope is:
a=(y₂-y₁)/(x₂-x₁)
Given that the line passes through (0, 2) and (-2/3, 0), the slope is as follows:
a=(-2/3)/(-2)
a=1/3
The equation of the line is:
y =3x+2
And using that equation, we can show that the line does indeed pass through the points (0, 2) and (2, 6)
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Assume Waterland and Aquataste make a nonbinding, informal agreement that each will produce 250 gallons of water, charge $1.50 per gallon, and evenly split the profit of $750.
If Aquataste sticks to the agreement, Waterland has an incentive to renege on the agreement by producing 350 gallons because Waterland's profits would then increase from $375 to ______
If Aquataste reneges on the agreement and produces 350 gallons, Waterland has an incentive to renege on the agreement by producing 350 gallons because Waterland's profits would increase to _____, which is better than the $312.50 Waterland would earn by sticking with the agreement.
$437.50
If one cheats they will get sell 350 gallons at the new market price of $1.25 (now a total qty of 250+350=600). $1.25*350=$437.50
$350
If Waterland also reneges and produces 350, market qty supplied is now 700 and price is $1. Each firm earns profit of $350 ($1*350). This is better for waterland than before since they were selling the 250 gallons at $1.25 (Profit = 250*1.25=312.50)
If Aquataste sticks to the agreement, Waterland has an incentive to renege on the agreement by producing 350 gallons because Waterland’s profits would then increase from $375 to $525.
If Waterland and Aquataste both produce 250 gallons each and charge $1.50 per gallon.
There would be 500 gallons in total, and the total revenue would be
$1.50 × 500 = $750
which when shared equally between Waterland and Aquataste would result in each of them getting $375 each.
But if Aquataste sticks to the agreement, Waterland has an incentive to renege on the agreement by producing 350 gallons, still charging $1.50 and Waterland’s profits would then be
$1.50 × 350 = $525
If one cheats they will get sell 350 gallons at the new market price of $1.25 '.
Then, a total quantity of 250+350=600.
Total profit $1.25 × 350 = $437.50
If Waterland also reneges and produces 350, market qty supplied is now 700 and price is $1. Each firm earns profit of $350 ($1*350). This is better for waterland than before since they were selling the 250 gallons at $1.25
Therefore, Profit = 250 × 1.25
=312.50
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nine tiles are numbered 1, 2, 3, . . . , 9, respectively. each of three players randomly selects and keeps three of the tiles, and sums those three values. the probability that all three players obtain an odd sum is m/n, where m and n are relatively prime positive integers. find m n.
The value of m and n from the obtained probability is equal to 3 and 14 respectively.
As given in the question,
Nine tiles numbered 1, 2, .....9
Number of odd numbered tiles are 1,3,5,7,9 = 5
Number of even numbered tiles are 2,4,6,8 = 4
Number of players =3
Possibility to choose 3 tiles by first player out of 9 tiles = ⁹C₃
= 84 ways
Possibility to choose 3 tiles by second player out of 6 tiles = ⁶C₃
=20 ways
Possibility to choose 3 tiles by third player out of 3 tiles = ³C₃
= 1 way
Total number of ways = 84× 20 ×1
= 1680
To have a sum of 3 tiles is odd number at least one tile should be odd.
Chances of first player all the 3 tiles are 0dd out of 5 = ⁵C₃
Next two players must 2 even tiles and 1 odd tile.= ²C₁
One player can be selected in ³C₁ way
Remaining 4 even tiles distributed equally = (4!)(2!)/ (2!)² ( 2!)
Number of favourable outcomes = ⁵C₃ × ²C₁ ׳C₁ × (4!)(2!)/ (2!)² ( 2!)
= 10 × 2 × 3 × 6
= 360
Probability (m/n) = 360 /1680
= 3/14
m = 3 and n = 14.
Therefore, from the probability that all three players obtain an odd sum is m/n , the value m = 3 and n = 14.
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(7, 5) and (8, 7). What is its equation in slope-intercept form?
Answer:
y = 2x - 9
Step-by-step explanation:
The slope is the change in y over the change in x. From the 2 points, the y's are 7 and 5. The x's are 8 and 7.
[tex]\frac{7-5}{8-7}[/tex] = [tex]\frac{2}{1}[/tex] = 2
2 is the slope.
Now we need to find the y intercept (b). Use one of the points on the line. It does not matter which one. I am going to use (8,7)
slope (m) = 2
x = 8
y = 7
y=mx + b
7 = 2(8) + b Plug in what we know and solve for b
7 = 16 + b Subtract 16 from both sides
-9 = b
The y intercept (b) is -9
y = mx + b
y = 2x -9
a number, y, is equal to twice the sum of a smaller number and 3. the larger number is also equal to 5 more than 3 times the smaller number. which equations represent the situation? 2 x minus y
The equations represent the given situation is:
2x - y = -6
3x - y = -5
where, x is the smaller number and y is the larger number.
Let the smaller number be x.
We have been given a number, y, is equal to twice the sum of a smaller number and 3
So, we get an equation,
y = 2(x + 3)
y = 2x + 6
2x - y = -6
The larger number is also equal to 5 more than 3 times the smaller number.
So, we get an equation,
y = 5 + 3x
3x - y = -5
Therefore, the equations represent the situation:
2x - y = -6
3x - y = -5
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Which expression is equal to (3x − 4)(2x − 5)?
-
O 3x²
-
23x - 20
O 6x² - 7x+20
O 6x²-23x+20
O 6x² - 23x - 20
The question is below! Will mark brainliest! Best answer!
Answer: 315 children and 15 adults
Step-by-step explanation:
15 x 21 = 315
315 + 15 = 330
c = 315
a = 15
Find the radius of the cirlce
Answer:
R= 2sqrt(13) = about 7.2
Step-by-step explanation:
D^2= 12^2 + 8^2
= 144+64=208
D=4sqrt(13)
R= D/2= 2sqrt(13)
Researchers at the Washington University School of Medicine randomly placed 480 rats into one of three
chambers containing radio antennas. one group was exposed to digital cell phone radio waves the second
to analog cell phone waves and the third group to no waves. two years later the rats were examined for
signs of brain tumors. in June 2002 the scientist said that differences among the three groups were not
statistically significant.
a) is this a study or an experiment? explain
b) explain in this context what "not statistically significant" means.
c) comment on the fact that this research was funded by Motorola, a manufacturer of cell phones.
The answer to following questions are as follows:-A)experiment
B)meaning “statistically non significant” C)explained below
What is a wave?A wave is a dynamic disturbance that propagates over one or more quantities in the domains of physics, mathematics, and allied sciences. When waves are periodic, those parameters repeatedly oscillate around an equilibrium value at a certain frequency.
The answers are: a) It is an experiment since some claims are not supported by evidence.
b) When the analysis reveals that there are substantial variations between the observed, "not statistically significant" refers to "statistically non significant." And we are unable to analyse any of the statistics' results.
c) The fact that Motorola, a cell phone company, funded this research reveals to us that this claim is untrue because Motorola conducts this research to boost their sales.
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Describe the relationship between the lines.
1. The lines intersect to form an angle that is 180°
2. The lines intersect to form an angle that is 90°
3. The lines do not intersect.
4. The lines intersect to form an angle that is not 90°
A CBS News/New York Times poll found that 329 out of 763 randomly selected adults said they would travel to outer space in their lifetime, given the chance. Estimate the true proportion of adults who would like to travel to outer space with 88% accuracy. Round your answers to at least three decimal places.
The true proportion of adults is in the interval 0.4026< P< 0.4594.
Here we have to estimate the true population of adults who would like to travel to outer space with 88% accuracy.
Data provided:
selected (x) = 329
Total(n) = 763
Sample proportion (p') = x/n
= 329/ 763
= 0.431
Critical z-value = 1.59
margin of error(E) = z[tex]\sqrt{p'( 1-p')/n}[/tex]
= 1.59 [tex]\sqrt{0.431(1-0.431) / 763}[/tex]
= 1.59 × 0.0179
= 0.0284
88% confidence interval is:
(p' ± E) = ( 0.431 ± 0.0284)
= 0.4594 and 0.4026
Therefore the estimate is 0.4026< P< 0.4594.
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a study of 1000 randomly selected flights of a major airline showed that 798 of the flights arrived on time.what is the probability of a flight arriving on time?
By using the concept of probability, it can be calculated that
Probability that the flight arrives on time = [tex]\frac{399}{500}[/tex]
What is probability?
Probability gives us the information about how likely an event is going to occur
Probability is calculated by Number of favourable outcomes divided by the total number of outcomes.
Probability of any event is greater than or equal to zero and less than or equal to 1.
Probability of sure event is 1 and probability of unsure event is 0.
Total number of flights = 1000
Number of flights arriving on time = 798
Probability that the flight arrives on time = [tex]\frac{798}{1000}[/tex]
= [tex]\frac{399}{500}[/tex]
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Please Help!!! Hurry!!!
Answer: I think it's 2/5, it is closest to the answer I came up with
If there are 39 students and 4 have blue eyes what is the fraction?
Answer:
4/39
Step-by-step explanation:
You want to know the fraction of 39 students represented by the 4 that have blue eyes.
FractionThe fraction is the ratio of the part of interest to the whole.
(students with blue eyes)/(total number of students) = 4/39
at a certain university in the u.s., all phone numbers are 7-digits long and start with either 824 or 825. 1) how many different phone numbers are possible?
There are 20,000 different phone numbers possible that is 7-digits long and start with either 824 or 825.
Fundamental Principle of Counting, also called the counting rule, is the method to count how many ways multiple independent events can occur.
Based on the given information, all phone numbers are 7-digits long and starts with either 824 or 825. Hence, the four last digits will be the combination of numbers from 0 to 9.
Thus, by Fundamental Principle of Counting, the number of possible outcomes is 20,000.
= (number of phone numbers starting with 824) + (number of phone numbers starting with 825)
= (10 x 10 x 10 x 10) + (10 x 10 x 10 x 10)
= 20,000
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select the first correct reason why the given series converges. a. convergent geometric series b. convergent p series c. comparison (or limit comparison) with a geometric or p series d. alternating series test e. ratio test
Because it diverges using a comparison test, the correct answer is an option (E).
What is a comparison test?The comparison test, also known as the direct comparison test to distinguish it from other closely related tests, offers a method for determining whether an infinite series or an improper integral will converge or diverge.
The test is effective in both situations by contrasting the given series or integral with one whose convergence characteristics are known.
So, refer to the image attached below.
According to the image which has the reason for convergence and divergence, we know that the correct answer would be option (E).
The reason is the comparison test.
Therefore, because it diverges using a comparison test, the correct answer is an option (E).
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The ratio of the measures of two complementary angles 7:8 what is the measure of the smallest angle?
Answer: 84
Step-by-step explanation: so 7:8 increased by some number is 180 degrees. add 7 and 8 to get 15. 180/15 is 12 so x = 12 7*12 is 84.