Answer:
[tex]s^2+11s+15[/tex]
Step-by-step explanation:
Let side length of pool=s
According to question
Length of rectangular deck , l=2s+5
Width of rectangular deck, b=3+s
We have to find the area of deck in terms of s.
We know that
Area of square=[tex](side)^2[/tex]
Area of rectangle=[tex]l\times b[/tex]
Using the formula
Area of pool=[tex]s^2[/tex]
Area of (rectangular deck+ pool)=[tex](2s+5)(3+s)[/tex]
Now,
Area of rectangular deck
=[tex](2s+5)(3+s)-s^2[/tex]
[tex]=6s+2s^2+15+5s-s^2[/tex]
=[tex]s^2+11s+15[/tex]
You can fine the run by subtracting the __ coordinate of the lead point from that of the right point
You can find the run by subtracting the _x_ coordinate of the lead point from that of the right point.
The "slope formula" for a straight line connecting any two locations is another name for the rise over run formula. The rise is the difference between the y-coordinates of the two locations. The run is the difference between the x-coordinates of two locations. Divide the rise by the run to find the slope.
The rise over run formula is also known as the slope formula because the fraction consists of a rise, whether the line is moving up or down, divided by the run, which can be either left or right. The slope of the line dictates the direction of the line as well as its steepness.
Thus, "You can find the run by subtracting the _x_ coordinate of the lead point from that of the right point".
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Select the correct answer.
If vector u = <-3.5, -1.5> and vector v = <-1.25, 2.25>, which graph shows the resulting vector for 2v - u?
The graph that aligns with the information is graph D.
How to illustrate the graph?We know that vector addition is scalar addition.
Given vectors are u = <-3.5, -1.5> and v = <-1.25, 2.25>
2v = < -2.5, 4.5>
2v - u = < -2.5, 4.5> - <-3.5, -1.5> = < -2.5 - (-3.5) , 4.5 -(-1.5) >
2v-u = < 1 , 6 >
This vector is basically i + 6j which is drawn in option D
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Gavin collects a certain type of seashell. He has 160 seashells. The seashells' weights are distributed normally with a mean of 120 grams and a
standard deviation of 26 grams.
How many of the seashells weigh at least 68 grams?
A 109
B. 156
C. 134
D. 152
Answer:
Answer: B.156
Step-by-step explanation:
Given: Total seashells = 160
mean = 120
population standard deviation = 26 grams
The probability that the seashells weigh at least 68 grams :-'
Total seashells weigh at least 68 grams = 0.9772 x 160 = 156.352≈ 156
Hence, the correct option is B.156
please mark brainiestmake x the subject! urgent help
Answer:
[tex]x = \frac{n}{b - {t}^{2} } [/tex]
Step-by-step explanation:
I supposed that is a "n".
Steps as below:
[tex] {t}^{2} = b - \frac{n}{x} \\ b - \frac{n}{x} = {t}^{2} \\ - \frac{n}{x} = {t}^{2} - b \\ \frac{n}{x} = - ( {t}^{2} - b) \\ \frac{n}{x} = b - {t}^{2} \\ n = x(b - {t}^{2} ) \\ x(b - {t}^{2} ) = n \\ x = \frac{n}{b - {t}^{2} } [/tex]
Answer:
[tex]x = \frac{h}{b-t^2}[/tex]
Step-by-step explanation:
[tex]t^2 = b - \frac{h}{x}[/tex]
• First add [tex]\frac{h}{x}[/tex] to both sides:
⇒ [tex]\frac{h}{x} + t^2 = b[/tex]
• Now subtract [tex]t^2[/tex] from both sides:
⇒ [tex]\frac{h}{x} = b - t^2[/tex]
• Now multiply both sides by [tex]x[/tex] :
⇒ [tex]h = x(b - t^2)[/tex]
• Next divide both sides by [tex](b - t^2)[/tex] :
⇒ [tex]\frac{h}{b-t^2} = x[/tex]
∴ [tex]\boxed{x = \frac{h}{b-t^2}}[/tex]
Which function represents a reflection of f(x) = 2(0.35)x over the y-axis?
h(x) = 2(0.35)x
h(x) = –2(0.35)x
h(x) = 2(0.35)–x
h(x) = 2(–0.35)–x
The function that is a reflection of f(x) over the y-axis is h(x) = 2(0.35)^(-x)
How to determine the reflection?The equation is given as:
f(x) = 2(0.35)^x
The reflection of a function over the y-axis is :
f'(x) = f(-x)
So, we have:
f(-x) = 2(0.35)^(-x)
From the list of options, we have
h(x) = 2(0.35)^(-x)
Hence, the function that is a reflection of f(x) over the y-axis is h(x) = 2(0.35)^(-x)
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Can any one help me?
Answer:
64
Step-by-step explanation:
2x-4y=3
x= (3 +4y)/2
substitute into the main equation
y= 0
x= 3/2
16^x /256^y
16^3/2 ÷ 256^0
√16^3 ÷1
= 64
Answer:
64
Step-by-step explanation:
2x - 4y = 3
2x = 4y + 3
x = 2y + 1.5
[tex] \dfrac{16^x}{256^y} = [/tex]
[tex] = \dfrac{16^{2y + 1.5}}{256^y} [/tex]
[tex] = \dfrac{16^{2y + 1.5}}{16^{2y}} [/tex]
[tex] = 16^{2y + 1.5 - 2y} [/tex]
[tex] = 16^\frac{3}{2} [/tex]
[tex] = 4^3 [/tex]
[tex] = 64 [/tex]
A paper bag contains a mixture of 3 types of candy. there are 10 packs of fuzzy peaches, 7 packs of sour keys, and 3 packs of nerds. suppose a game is played in which a candy is randomly taken from the bag, replaced, and then a second candy is drawn from the bag. if you are allowed to keep the second candy only if it was the same type a the one that was drawn the first time, calculate the probability of each of the following: a) you will keep a pack of fuzzy peaches b) you will be able to keep any of the candy c) you will not be able to keep any of the candy
The probability that the person will be able to keep a pack of fuzzy peaches will be 0.25.
How to calculate the probability?a. Based on the information given, the probability that the person will be able to keep a pack of fuzzy peaches will be:
= 10/(10 + 7 + 3) × 10/(10 + 7 + 3)
= 10/20 × 10/20
= 1/4
= 0.25
The probability that the person will be able to keep a pack of fuzzy peaches will be 0.25.
b. The probability to be able to keep any of the candy will be:
= (10/20 × 10/20) + (7/20 × 7/20) + (3/20 × 3/20)
= 100/400 + 49/400 + 9/400
= 158/400
= 0.395
The probability to be able to keep any of the candy will be 0.395.
c. The probability that you will not be able to keep any of the candy will be:
= (10/20 × 10/20) + (7/20 × 13/20) + (3/20 × 17/20)
= 100/400 + 91/400 + 51/400
= 242/400
= 0.605
The probability that you will not be able to keep any of the candy will be 0.605.
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Read each question carefully and show work. Put your answer in the provided space.
if 4200 men have sufficient food for 32 days at the rate of 12 hectogram per person , how many men may leave so that the same food is sufficient for 42 days at the rate of 16 hectogram per person
Using proportions, it is found that 66 men can leave so there will still be enough food.
What is a proportion?A proportion is a fraction of a total amount, and the measures are related using a rule of three.
Considering the situation described, the rule of three is given as follows:
4200 men - 32 days - 12 hectogram per person.
x men - 42 days - 16 hectogram per person.
Considering that the amount per person and the number of people is inverse proportional, we have that:
[tex]\frac{4200}{x} = \frac{32}{42} \times \frac{16}{12}[/tex]
[tex]\frac{4200}{x} = \frac{512}{504}[/tex]
Applying cross multiplication:
512x = 504 x 4200
x = 504 x 4200/512
x = 4134.
The amount of men that can leave is:
4200 - 4134 = 66.
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Subtract the matrices. What number fills in ?
The missing number for the subtraction of matrices is 4.
How to subtract the matrices?
The subtraction of two matrices of the same size is really direct. You just need to subtract the elements that are in the same position, then:
[tex]A = \left[\begin{array}{ccc}a_{11}&a_{12}\\a_{21}&a_{22}\end{array}\right] \\\\B = \left[\begin{array}{ccc}b_{11}&b_{12}\\b_{21}&b_{22}\end{array}\right]\\\\A - B = \left[\begin{array}{ccc}a_{11} - b_{11}&a_{12}-b_{12}\\a_{21} - b_{21}&a_{22}-b_{22}\end{array}\right][/tex]
Then the missing therm will just be equal to the difference between the last two elements of each matrix:
-2 - (-6) = -2 + 6 = 4
The missing number is 4.
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Determine the unknown value in the table using the constant of proportionality.
Time (seconds) 12 18 40
Number of Pencils Produced 42 63
The unknown value in the table using the constant of proportionality is; 96
How to find the constant of proportionality?The constant of proportionality is the ratio of two proportional values at a constant value. Two variable values have a proportional relationship when either their ratio or their product gives a constant.
We are given the coordinates;
(12, 42), (18, 63), (40, y)
where x-values represents time in seconds and y-values represents number of pencils that were produced.
To find the constant of proportionality is as good as finding the slope between two consecutive points as;
m = (63 - 18)/(42 - 12)
m = (45/30)
m = 1.5
Thus to find the unknown value y, we will use the formula;
(y - y1)/x - x1) = m
So we will use the coordinates; (18, 63), (40, y)
Plugging them into the formula above will result in;
(y - 63)/(40 - 18) = 1.5
y - 63 = 1.5 * 22
y - 63 = 33
y = 33 + 63
y = 96
Thus, we can conclude that using the constant of proportionality, the number of pencils that were produced after a time of 40 seconds is 96 pencils.
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After a robbery, a thief jumps into a taxi and disappears. An eyewitness on the crime scene is telling the police that the cab is yellow. In order to make sure that this testimony is worth something, the assistant district attorney makes a Bayesian analysis of the situation. After some research, he comes up with the following information: (1) In that particular city, 80% of taxis are black and 20% of taxis are yellow; and (2) Eyewitnesses are not always reliable and from past experience, it is expected that an eyewitness is 80% accurate. In other words, he will identify the color of a taxi accurately (yellow or black) eight out of ten times. What is the probability that the cab was really yellow, given that it was reported as being yellow
The probability that the cab was really yellow given that it was reported as being yellow is 0.32.
Given that there are 80% black taxis and 20% yellow taxis, witness is 80% accurate.
Probability is the chance of happening an event among all the events possible. It lies between 0 and 1. The value of probability can be calculated through the following formula:
Probability=Number of items/ total items.
Black taxis=80%
Yellow taxs=20%
Eyewitness is accurate=80%
Probability that the cab was really yellow=
P(X=Yellow)P(Witness is correct)+P(X=Black)P(Witness is incorrect)
Probability that car is black=0.8
Probability that car is yellow=0.2
Probability that witness is correct=0.8
Probability that witness is incorrect=1-0.8
=0.2
We have to just put the values in the formula given above.
Required probability=0.2*0.8+0.8*0.2
=0.16+0.16
=0.32
Hence the probability that the cab is really yellow is 0.32.
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Draw a graph of Lin’s distance as a function of time for this situation:
Lin walked a half-mile to school at a constant rate. Five minutes after arriving at school, Lin realized that she had left her permission slip at home. Lin began sprinting home, but when she was halfway there she got tired and walked the rest of the way.
The graph of Lin's distance as a function of time cannot be a straight line graph because of decrease in speed.
Given that Lin walks half a mile at a constant rate i.e. Lin velocity is constant.
If the speed is low then the time will be high. If speed is high then the time will be low because of the following rule:
Speed=Distance/ time.
For the first five minutes the graph will be upward sloping because he was sprinting and his speed was high so he will cover much more distance.
But after five minutes the graph will be downward sloping as the speed becomes low and he willcover less distance.
Hence the graph of Line's distance will not look like linear curve.
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solve for the balloon volume using the equation below
The volume of the balloon is 1441.64cm³.
How to calculate the volume?The radius of the balloon is given as 7cm. Also, the equation to calculate the volume is given as c³/6π²
The circumference c will be:
= 2πr = 2 × 22/7 × 7
= 44
The volume will be:
= c³/6π²
= 44³/(6 × 3.14²)
= 85284/(59.1576)
= 1441.64
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Can someone help me with this?
what is the range of the function of graph?
a.) all real numbers
b.) all real numbers greater than or equal to 0
c.) all real numbers greater than or equal to 1
d.) all real numbers greater than or equal to 2
The correct answer is "all real numbers greater than or equal to 2".
Find the mixed number halfway between 6.4 and 6½. Give
your answer in its simplest form.
Answer:
6.45
Step-by-step explanation:
I am not staring at zero. I am starting at 6.4, so I take 6.4 and add that to half way between 6.5 and 6.4.
6.4 + 1/2(6.5-6.4) Combine in the parentheses
6.4 + 1/2(.5) Take half of .5
6.4 + .05 add
6.45
simplify: 2y(y2-4y+1)-2(4y²+5y-2) +5y-8
please tell me fast with full solution
Answer:
look the answer is in the picture and don't forget to like and brainlest
Rule 1: Multiply by 2 then add 1 starting from 1.
Rule 2: Divide by 2 then add 4 starting from 40.
please help me make a sequence :)
PLEASE DONT DELETE MY QUESTION :(
Rule 1: Multiply by 2 then add 1 starting
( n x 2 +1) => 2n + 1
n is the position of our terms, so I substitute 1 because you're told to start from 1 which becomes our first term
2n + 1
2 x 1 + 1 =3
2 x 2 + 1 = 5
2 x 3 + 1 = 7
2 x 4 + 1 = 9
3,5,7,9....
(you can clearly see the sequence increasing by 2 each time, not following Multiply by 2 then add 1)
However, if we were to do add one each time, you'll add one to your pervious answer. So, this time I'll substitute the pervious answer
2 x 1 + 1 =3
2 x 3 + 1 = 7
2 x 7 + 1 = 15
2 x 15 + 1 = 31
3,7,15,31....
(from 3 to 7, you clearly see its multiplied by 2, then +1 & that's our sequence, this method apply to the second rule too of using previous)
Rule 2: Divide by 2 then add 4
(n ÷ 2 + 4) => n/2 + 4
n/2 + 4
(starting from 40.)
40/2 + 4 = 24
24/2 + 4 = 16
16/2 + 4 = 12
12/2 + 4 = 10
24,16,12,10.....
Answer: (started off with the number it asked of)
R 1 -
1,3,7,15,31....
(1 x 2 +1 does give 3)
R 2 -
40, 24,16,12,10.....
(40÷2 = 20, then + 4, gives 24)
Hope this helps!
16. If x= y² + 12, what is the value of y in terms of (A)x+12 (B) x-12 (C) √√x+12 (D) √√x-12
Answer:
D. y = √(x - 12)
Step-by-step explanation:
x = y² + 12
y² = x - 12
y = √(x - 12)
Jonh is paid $26 for 8 hours work how much should he be paid for working 37 hours at the same wage
Answer:
$120.25
Step-by-step explanation:
Divide 37 by 8. You get 4.625. Multiply 4.625 by 26. You get 120.25.
I hope this helps!
During the current year mute corporation expected that sell 24,600 telephone switches. fixed cost of the year were expected to be 12,147,000 the unit sales price was budgeted at 3,500 and unit variable costs are budgeted at 1,680. minutes margin of safety in units is
The corporation's margin of safety is 0.73.
What is the margin of safety?Margin of safety is the amount of sales a company makes in excess of the breakeven point.
Margin of safety = (forecasted sales - break-even sales) / forecasted sales
Break even sales = fixed cost / (price per unit - variable cost)
12,147,000 / (3500 - 1680) = 6,674.18
Margin of safety = (24,600 - 6,674.18) / 24,600 = 0.73
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HALP PLS
what is x?
x =x=x, equals
^\circ
∘
degrees
Answer:
x = 90°
Step-by-step explanation:
The line that contains angle x and the 90° angle is a straight line.
A straight line measures as 180°.
So, subtracting the given 90° from the 180° line that the two angles share, we would get the measure of x.
[tex]180-90 =x[/tex]
Which means, [tex]x=90[/tex].
So the value of x is 90°.
[please answer quickly] it takes 8 hours to paint a room. how long will it take to paint 2/3 of the room?
Answer:
5 hours 20 minutes.
Step-by-step explanation:
8 * 2/3
= 16/3
= 5 1/3
= 5 hours 20 minutes.
. A particular airline offers three free snack options to it's passengers: cookies, chips, and crackers. Along with the snack, passengers are offered two free drink options: soda or water. This is a tree diagram that represents the probability of customers choosing the different snack and drink options. Tree Diagram What is the value of Z
The probability that a particular passenger chooses chips and soda as a snack is 0.25 or 25%.
What is probability?In mathematics, probability is considered as the chances a specific situation or event occurs. For example, you can calculate the probability that it rains tomorrow based on general weather patterns.
How to calculate the probability of two events happenning?Calculate or identify the probability of each event happening.Multiply the probabilities of the events involved.What is the probability of Z event happnening?Probability that a person choses soda: 0.5Probability that a person choses chips: 0.5Now, let's multiply these probabilities:
0.5 x 0.5 = 0.25 or 25% (0.25 x 100)This means the probability of a passenger choosing chips and soda as a snack is 0.25 or 25%.
Note: This question is incomplete; here is the missing section:
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PlllZZZZZZZZ HELPPPPP
Answer:
x = 1.4
Step-by-step explanation:
Visualize the figure as a rectangle with width 4 and height 1 combined with a triangle with base 1 and height 1.
Next, use the Pythagorean Theorem, a^2 + b^2 = c^2. Variables a and b represent the lengths of the legs, in this case 1 and 1, and variable c represents the length of the hypotenuse, in this case x.
1^2 + 1^2 = x^2
2 = x^2
x = 1.41421356237
Step-by-step explanation:
imagine that this shape is the combination of 2 shapes :
1. a rectangle 4×1
it goes from the top down the side of 4 until the tilted line x begins.
2. a right-angled triangle
x being the Hypotenuse (the baseline opposite of the 90° angle). and the legs are the invisible line of 1 (going from the top right of x in parallel to the 1 line all the way to the 5 line) and the part of the 5 line below the 4 line : 5-4 = 1.
so, x can be solved by using Pythagoras
c² = a² + b²
c being the Hypotenuse, a and b are the legs.
x² = 1² + 1² = 2
x = sqrt(2) = 1.414213562... ≈ 1.4
There are 52 people in a room. What is the largest value of n such that the statement ""at least n people in this room have birthdays falling in the same month"" is always true?
The largest value of n such that the statement "at least n people in this room have birthdays falling in the same month" is always true is 5
How to determine the value
From the given information, we have 52 people in the room
Note that there are 12 months in a year
Let's divide the number by people by the months of the year
⇒ [tex]\frac{52}{12}[/tex]
⇒ 4 remaining 4
If 48 people are evenly distributed over twelve months, then there will be four people born in each month.
The remaining four people can be placed each in any of the twelve different months.
Hence, if 52 people are evenly distributed as possible, there will be eight months with four people and four months with five people.
Thus, the largest value of n such that the statement "at least n people in this room have birthdays falling in the same month" is always true is 5
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Find the sum of the arithmetic series 19 + 25 +31 +37 +… where n=9
The sum of the arithmetic series 19 + 25 + 31 + 37 + … at n = 9 exists 387.
An arithmetic series exists given, 19 + 25 + 31 + 37 + … sum of this series exists to be defined at n = 9.
What is arithmetic progression?Arithmetic progression exists the series of numbers that contain a common difference between adjacent values.
The sum of an arithmetic series exists given as
[tex]$S_n = \frac{n}{2}[2a+(n - 1)d][/tex]
Where n be the total terms =9
a be the first term = 19
d be the common difference = 6
Substitute the values in the above equation, we get
[tex]$S_9 = \frac{9}{2}\left[2\cdot 19+\left(9\:-\:1\right)6\right][/tex]
[tex]$ = \frac{9}{2}\left[86\right][/tex]
= 387
Therefore, the sum of the arithmetic series 19 + 25 + 31 + 37 + … at
n = 9 exists 387.
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Help please!!! Write an equation that represents the line.
Use exact numbers.
To get 14 liters of antifreeze solution, how much do i need to add to x liters of the solution?
To get 14 liters of antifreeze solution, add 14 - x liters of the solution
Calculating volumeFrom the question, we are to determine how many liters should be added to the solution
From the given information,
We are to get 14 liters of antifreeze solution,
and
we already have x liters of the solution
To get 14 liters of antifreeze solution, we will add 14 - x liters of the solution
Hence, to get 14 liters of antifreeze solution, add 14 - x liters of the solution
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