Answers
Answer:
8 * sqrt2
Step-by-step explanation:
the area of a square can be found by squaring the length of the diagonal and then dividing it by 2. 16^2 / 2 = 128. if the area of a square is 128, each side is sqrt 128 = 8 * sqrt2
Related Questions
Autosomal dominant disorders are less common than recessive disorders. Why do you think that is?
Answers
Reccesive disorders are more common because they are not easily eliminated by natural selection.
What is Autosomal dominant disorders ?The autosomal dominant disorders refers to those disorders that have no gender preference and have possible male to male transmission.
The autosomal dominant disorders are much more rare than the recessive disorders because they do not occur on a s-ex-linked chromosome. Note also that it is more common to have dominant mutations eleiminated by the process of natural selection.
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A baker made 30 pastries in 2 1/2 hours. how many pastries did the baker make in one hour?
Answers
Answer:
12 pastries
Step-by-step explanation:
30/2.5 = 12
check:
12(1 hour) +12(1 hour) +6(Half hour) = 30
what is the perimeter
Answers
Answer:
2(5) + 2√(3^2 + 7^2) = 10 + 2√58 = 25.2
B is the correct answer.
A solution of contains Fluoxetine 20mg/5ml. How many milligrams are in 10ml?
Answers
Answer: The correct answer is: " 40 mg ".
____
There are 40 mg ["40 milligrams" of fluoxetine in 10 mL of the solution given.
Explanation:
10 mL * (20 mg/ 5 mL) = __?__mg??
Solve for "?" ; our answer:
____
Given: the concentration: "20 mg/ 5 mL" ;
we can reduce this "fraction" ratio ; as a "unit rate" ;
that is: "milligrams per single unit of mL" ;
by dividing each side of the ratio/fraction by "5":
____
20 mg / 5 mL = (20 ÷ 5) mg / (5 ÷ 5) mL
= 4 mg / mL ;
Now, with this "newly written" form of concentration:
We are asked: How many milligrams (mg) in 10 mL ?
→ 10 mL (4 mg / 1 mL) ;
→ The units of "mL" cancel out to "1" ; [since: "mL ÷ mL = 1 "] ;
And we have:
10 * 4 mg ;
= (10 * 4) mg ;
= 40 mg .
____
The answer is: " 40 mg " .
____
Hope this is helpful to you. Best wishes!
____
89,000 rounded to the nearest thousand
Answers
89 thousands?
........................
Answer:
alin question jan
Step-by-step explanation:
wala naman questionWhich of the following represents the series? –13 + (–7) + (–1) + 5 + 11
Answers
Answer:
Adding +6 in turn
Step-by-step explanation:
-13+6=(-7)
(-7)+6=(-1)
(-1)+6=5
5+6=11
11+6=17
17+6=23
23+6=29
29+6=35
........... And so on
if it helped uh please mark me a brainliest :))i giveeee brainlilsttttttv
Answers
Answer:
count by 2⁄3 starting at 6
Step-by-step explanation:
Answer:kkjjjjjj.kjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjj
If you have a statistical calculator or computer, use it to find the actual sample mean and sample standard deviation. Otherwise, use the values Σx = 2769 and Σx2 = 132,179 to compute the sample mean and sample standard deviation. (Round s to four decimal places.)
Answers
By using a statistical calculator, the actual sample mean and sample standard deviation are:
Actual sample mean = 46.1500.
Actual ample standard deviation = 8.6256.
How to calculate the sample mean for the set of data?In Mathematics and Geometry, the sample mean for any set of data can be calculated by using the following formula:
Mean = ∑x/(n - 1)
∑x represents the sum of all data values.(n - 1) represents the number of data contained in a sample.In Mathematics and Geometry, the sample standard deviation for any set of data can be calculated by using the following formula:
Standard deviation, δx = √(1/N × ∑(x - \(\bar{x}\))²)
x represents the observed values of a sample.\(\bar{x}\) is the mean value of the observations.N represents the total number of of observations.By using a statistical calculator, the actual sample mean and sample standard deviation are as follows;
Actual sample mean = 46.1500.
Actual ample standard deviation = 8.6256.
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Missing information:
The question is incomplete and the complete question is shown in the attached picture.
City R has a temperature of −2 °F. City S has a temperature of −6 °F.
Use the number line shown to answer the questions:
Number line from negative 8 to positive 8 in increments of 1 is shown.
Part A: Write an inequality to compare the temperatures of the two cities. (3 points)
Part B: Explain what the inequa
lity means in relation to the positions of these numbers on the number line. (4 points)
Part C: Use the number line to explain which city is warmer. (3 points)
I just need answer B PLLSSS HELPP
Answers
A. inequality that compares the temperatures of the two cities is: -2 > -6. B. inequality means city R, represented by -2 on the number line greater than the temperature of city S, represented by -6 on the number line. C. city R is warmer than city S.
Describe Inequality?In mathematics, an inequality is a statement that compares two values or expressions and indicates that one is greater than, less than, or equal to the other. Inequalities are used to describe relationships between values that are not necessarily equal, and they are written using special symbols such as < (less than), > (greater than), ≤ (less than or equal to), or ≥ (greater than or equal to).
For example, the inequality 3x + 2 < 10 means that the expression 3x + 2 is less than 10. This inequality can be solved for x by subtracting 2 from both sides and then dividing by 3, yielding x < 2. This means that any value of x that is less than 2 will satisfy the inequality.
The inequality that compares the temperatures of the two cities is: -2 > -6
This inequality means that the temperature of city R, represented by -2 on the number line, is greater than the temperature of city S, represented by -6 on the number line. In other words, city R is warmer than city S.
On the number line, the further to the right a number is, the greater it is. Since -2 is to the right of -6, this indicates that -2 is greater than -6, which represents the fact that city R is warmer than city S.
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Cindy is designing a rectangular fountain in the middle of a courtyard. The rest of the courtyard will be covered in stone.The part of the courtyard that will be covered in stone has an area of 246 square feet. What fraction of the area of the courtyard will be occupied by the fouantain.
Answers
The fountain will occupy a fraction of 50/173 of the Total area of the courtyard.
Let A be the area of the courtyard and F be the area of the fountain.
We know that the area of the stone-covered part of the courtyard is 246 square feet.
So, the area of the whole courtyard is A = 246 + F square feet.
The fraction of the area of the courtyard occupied by the fountain is given by:
F / A = F / (246 + F)
We can simplify this expression by multiplying the numerator and denominator by the reciprocal of the denominator:
F / A = F / (246 + F) * (1 / (246 + F))
F / A = F / (246 * (246 + F))
F / A = 1 / (246 / F + 1)
We don't know F yet, but we can use the fact that the fountain is rectangular to set up an equation relating the length and width of the fountain:
F = L * W
where L is the length of the fountain and W is the width of the fountain.
We also know that the perimeter of the fountain is 50 feet:
2L + 2W = 50
Simplifying this equation, we get:
L + W = 25
Solving for one variable in terms of the other, we get:
L = 25 - W
Substituting this expression for L into the equation for F, we get:
F = (25 - W) * W
Expanding this expression, we get:
F = 25W - W^2
We also know that the cost of the fountain is $600, which includes installation. So, we can set up another equation relating the cost of the fountain to its dimensions:
1.5LW = 600
Substituting 25 - W for L, we get:
1.5(25 - W)W = 600
Expanding and simplifying this equation, we get:
W^2 - 25W + 400 = 0
Solving this quadratic equation, we get:
W = 20 or W = 5
We reject the solution W = 5 because it implies a negative length for the fountain, which is not physically possible. Therefore, the width of the fountain is W = 20 feet and its length is L = 25 - W = 5 feet.
The area of the fountain is therefore:
F = L * W = 5 * 20 = 100 square feet
The fraction of the area of the courtyard occupied by the fountain is
F / A = 100 / (246 + 100) = 100 / 346 = 50 / 173
So, the fountain will occupy a fraction of 50/173 of the total area of the courtyard.
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show that the volume of the unit cube is one
Answers
Check the picture below.
It is estimated that only 68% of drivers wear their safety belt. Part A: What is the probability that exactly 3 drivers are wearing their safety belts if a police officer pulls over five drivers at random? (5 points) Part B: What is the probability the next driver wearing their safety belt that the police officer pulls over is the fifth driver? (5 points) (10 points)
Answers
Hence, there is a 0.68 percent probability that the fifth driver will be the one that police officer summons over while wearing a safety belt.
What does the name probability mean?The word "probability" derives from the Latin word "propitiate," which means "credibility, probability," from the noun probabilism in the 14th century (see probable). The phrase was first used in a mathematical meaning in 1718.
Part A:
The likelihood that precisely 3 drivers are buckled up can be determined using the binomial probability formula:
P(X = 3) = (5 choose 3) × (0.68)³ × (0.32)²
Where (5 choose 3) = 10 is the number of ways to choose 3 drivers out of 5.
P(X = 3) = 10 × 0.68³ × 0.32²
P(X = 3) = 0.267
Consequently, there is a 0.267 percent chance that all 3 drivers are buckled up.
Part B:
The fifth driver will be pulled by by the police officer since 4 other drivers have already been stopped. We are looking for the likelihood that the motorist is wearing a safety belt.
Since 68% of drivers are safety belt wearers, there is a 0.68 percent chance that the following motorist will be as well.
Thus, there is a 0.68 percent chance that the next vehicle the police officer pulls over is driven by a person wearing a safety belt.
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What is the maximum of f(x)=sin(x)
Answers
Answer:
1
Step-by-step explanation:
The maximum of f(x) = sin(x) is 1. The sine function has a range of -1 ≤ sin(x) ≤ 1. The sine function oscillates between -1 and 1, reaching a maximum of 1 when x = π/2 and a minimum of -1 when x = -π/2. If you look at a graph of
y = sin(x) you can see this.
Answer: The Maximum Value of f(x)=sin(x) is 1 , when x=90°.
Step-by-step explanation:
Property of Sine function:
Sin(x)=0 when x=90°,180°,360°The maximum and Minimum value of Sin(x) is 1 and -1 respectively, when and x=270° respectively.The range of values of sin(x) is -1 to 1.Read more on the Sine function:
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1. A new compact has a sticker price of $14500. Options add another $982. Destination charges are $592. Dealer preparation is 5% of the total price. Sales tax is 7%. Tag fee is $145. Title fee is $45. What is the total price of the vehicle?
2. The selling price of a used car is $8850. Trade in allowance is $1500. Tax is 8%. Tag fee is $130. Title fee is $35. Finance charges are 9.5% annual simple interest. What is the total price of the financed amount? What are the total finance charges? What are the monthly payments if the vehicle is financed for 3 years? What is the total deferred price of the car?
3. The total deferred price of a car is $28000. After a down payment of $2100, the monthly payments are $380. How long is the financing agreement?
4. Stanley bought a new car with a sticker price of $19200. The dealer agreed to a 6% discount. The sales tax was 8% of the selling price. The tag fee was $65, and the title fee was $45. What is the total price of the car? The interest rate is 9% for financing the car for 5 years. What is the total deferred price after all the payments were made?
5. Mark bought a truck with a sticker price of $23000 plus additional options totaling $3500. He received a 4% discount and a $1500 trade-in allowance. The tax was 7%, tag fee was $125, and title fee was $75. He bought an extended warranty for $700, which was financed into the total cost of the truck. The interest rate was 6.5% for 5 years. How much are the monthly payments?
Answers
The total price of the vehicle would be $18,192.88.
The total deferred price of the car would be $11,191.60.
The length of the financing agreement is 68 months .
The total deferred price after the payments was $19,601.84.
The monthly payments would be $516.92.
How to find the price of the vehicle ?Subtotal = Base price + Options + Destination charges
Subtotal = $14,500 + $982 + $592 = $16,074
Dealer preparation = 5% of subtotal
Dealer preparation = 0.05 x $16,074 = $803.70
Sales tax = 7% of subtotal
Sales tax = 0.07 x $16,074 = $1,125.18
Total price = Subtotal + Dealer preparation + Sales tax + Tag fee + Title fee
Total price = $16,074 + $803.70 + $1,125.18 + $145 + $45 = $18,192.88
How to find the total deferred price ?Tax = 8% of selling price = 0.08 x $8,850 = $708
Tag fee = $130
Title fee = $35
Total amount financed = Amount financed + Tax + Tag fee + Title fee = $7,350 + $708 + $130 + $35 = $8,223
Annual interest rate = 9.5%
Number of years financed = 3
Total finance charges = $8,223 x 0.095 x 3 = $2,341.595
Total financed amount = $8,223 + $2,341.595 = $10,564.595
Monthly payments = Total financed amount / (Number of years financed x 12 months) = $10,564.595 / (3 x 12) = $293.4615
Total deferred price = Selling price + Total finance charges = $8,850 + $2,341.595 = $11,191.595
How to find the length of the financing agreement ?Total deferred price = $28,000
Down payment = $2,100
Total amount financed = Total deferred price - Down payment = $28,000 - $2,100 = $25,900
Monthly payments = $380
Number of months = Total amount financed / Monthly payments = $25,900 / $380 = 68.16
The financing agreement is approximately 68 months long.
How to find the deferred price after the payments ?Sticker price = $19,200
Discount = 6% of sticker price = 0.06 x $19,200 = $1,152
Selling price = Sticker price - Discount = $19,200 - $1,152 = $18,048
Sales tax = 8% of selling price = 0.08 x $18,048 = $1,443.84
Total price = Selling price + Sales tax + Tag fee + Title fee = $18,048 + $1,443.84 + $65 + $45 = $19,601.84
How to find the monthly payments ?Using the formula for monthly payments on a loan:
P = (PV x r x (1 + r)^ n) / ((1 + r) ^ n - 1)
= ($26,515.80 x 0.005265 x (1 + 0.005265) ^ 60 ) / ((1 + 0.005265) ^ 60 - 1) = $516.92
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Does anyone have any tips or rules that I need to know before I take a test?
The test is about intergers and intergers of fraction or decimal?
Answers
Answer:
Integer, whole-valued positive or negative number or 0. The integers are generated from the set of counting numbers 1, 2, 3,… and the operation of subtraction. When a counting number is subtracted from itself, the result is zero.
Step-by-step explanation:
example:4-4=0 hope it helps have a good day
Write -6.02 as a mixed number
Answers
Answer:
-6 1/50
Step-by-step explanation:
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what is the value of |4.75|
Answers
The absolute value of 4.75 is 4.75. It can’t be a negative, only a positive. On the off chance you’re looking for other alternate forms of 4.75, they would be either 19/4 or 4 3/4.
which value for x satisfies the given equation 1/3(6x+9)=12
Answers
Answer:
\(x=\frac{27}{6}\)
Step-by-step explanation:
So I'm going to assume you mean to write: \(\frac{1}{3}(6x+9)=12\)
In this equation here we want to cancel out the "1/3", and this can be done by multiplying both sides by "3", since we can multiply the 1/3 by 3 on the left side and that just gives us 3/3 or 1, which doesn't change the value
We have to do this on both sides to remain equality and this gives us the equation
\(6x+9=36\)
Now from here just subtract 9 from both sides to cancel out the +9
\(6x=27\\x=\frac{27}{6}\)
PLZZZ HELP ME ASASP i will really appreciate it.
Answers
Answer:
√27
3√3
Step-by-step explanation:
The expression is equal to the square root of 3 cubed, so:
*The bottom of the power fraction is the root, and the top of the power is the power for the base.
√3³
√27
Answer:
Step-by-step explanation:
3^3/2 =
Change the fraction into a radical form
\(\sqrt{3^3} = \sqrt{27}\)
the solution is d
We live our lives taking each second for granted. But what would you do if you knew how much time you had left? Unus Annus. One year. This channel, much like all of you, has a limited amount of time. And every day we march ever closer to this channel’s inevitable doom. That means we’ll be uploading every single day until the clock strikes zero. And then, it’s game over. Bye, bye. Finito. Finished. Curtains. Gone, gone. Night, night. Dead. Forever. Make no mistake, this doesn’t mean that we’ll just stop uploading. When time runs out we will be deleting this channel and every single video on it. And you’ll never be able to see them again. Because much like death, you can’t take it with you. And all we’ll have is the memories that we make along the way… so the clock starts now. But the choice is yours. Will you join us? Or will you miss out on your one chance to be a part of Unus Annus? Because time is already running out. The train is already moving. So, subscribe now, because death is coming… For there are no second chances. And if you miss out all you’ll be left with is regret. Memento mori. We’ll see you tomorrow. Unus Annus.
Answers
Unus Annus, Memento mori.
Answer:
布盧
Step-by-step explanation:
Use Juliana's text message data to answer the questions.
What was the mean number of text messages that Julianna sent per day
Answers
The mean number of text messages that Julianna sent per day is 7.
To calculate the mean number of text messages that Julianna sent per day, we need to sum up the number of text messages she sent each day and divide it by the total number of days.
Total number of text messages sent:
13 + 0 + 4 + 4 + 5 + 6 + 17 = 49
Total number of days: 7
Mean = Sum of all observations/number of observations
Mean =Total number of text messages sent/Total number of days
Mean number of text messages per day: 49 / 7
= 7
Therefore, 7 is the mean number of text messages that Julianna sent per day.
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Use julianna’s text message data to answer the questions.
Text messages sent:
Sun: 13 Mon: 0 tues: 4 wed: 4 thurs: 5 fri: 6 sat: 17
1. What was the mean number of text messages that julianna sent per day ?
A. 4
B.6
C.8
D.7
Which values from the given replacement set make up the solution set of the inequality?
5n>24 ; {2, 3, 4, 5, 6}
{5, 6}
{2, 3}
{4, 5, 6}
{3, 4}
Answers
Answer:
The answer is {4, 5, 6}
Step-by-step explanation: Because u have to do the math step by step with each number thats how u get the answer. And trust me its right because i got a 100%
On the past two quizzes, a student scored a 75 and 83. Write and solve a compound inequality to find the possible values for the 3rd quiz score that would give her an average between 85 and 90, inclusive.
Answers
The possible values for a third quiz score that would give her an average between 85 and 90, inclusive is: 97 ≤ x ≤ 112.
How to determine the average?In Mathematics, the average of these quiz scores can be calculated by using the following formula:
Average = Sum of quiz score/Number of quiz scores
Note: Let the variable q represent the student's score on the third (3rd) quiz.
Substituting the given parameters into the formula, we have the following;
Average = (75 + 83 + q)/3
Average = (158 + q)/3
This ultimately implies that, an average between 85 and 90, inclusive is given by this compound inequality:
85 ≤ (158 + q)/3 ≤ 90
Multiplying all through by 3, we have the following:
255 ≤ (158 + q) ≤ 270
Subtracting 158 from both sides of the inequality, we have the following:
97 ≤ x ≤ 112
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The gym is 96 feet long 53 feet wide and 30 feet high. A bosketball is 28.5 inches
in diameter. How many basketballs are needed to fill the gym?
Answers
Answer:
21806 basketballs are needed to fill the gym
Step-by-step explanation:
We have to find both volumes in the same units, so I will use feet for the dimensions, the volume will be in cubic feet. Each feet has 12 inches.
Volume of the gym:
The volume of the gym(rectangular base with height) is given by the multiplication of its dimensions. So
\(V = 96*53*30 = 152640\) cubic inches
Volume of the basketball:
The basketball is an sphere, so its volume is
\(V = \frac{4\pi r^3}{3}\)
In which r is the radius, which is half the diameter.
28.5 inches in diameter, so 2.375 feet in diameter, radius of 1.1875 feet. The volume of the basketball is:
\(V = \frac{4\pi (1.1875)^3}{3} = 7\) cubic inches
How many basketballs are needed to fill the gym?
This is given dividing the volume of the gym by the volume of a basketball. So
152640/7 = 21805,7
Rouding up
21806 basketballs are needed to fill the gym
Please please please help me with this please and i will give you a brainlist and 10 points
Answers
Find the area of the Composite Shape.
PLEASE HELP!
Answers
Answer:
\(\large\boxed{41.14 inches^2(2 d.p)}\)
\(\large\boxed{41.1inches^2 (1 d.p)}\)
Step-by-step explanation:
Important Information:
Area of a circle= \(\pi r^2\)
Area of a triangle= \(\frac{base*height}{2}\)
Diameter of a cirlce= \(2*radius\)
Method:
The first step is to divide the shape into smaller shapes. In this case, we have a right -angled triangle and a semi-circle.
The next step is to work out the area of the triangle. Since we know the radius of the semi-circle is 3 inches, to work out the diameter we would simply multiply the radius of 3 by 2, this gives us 6 inches. This is because the radius is half of the diameter.
Now that we know the diameter of the semi-cirlce, we can begin to work out the area of the triangle. We can do this by first multiplying the base of 6 inches by the height of 9 inches, this gives us 54 inches squared. This however gives us the area of 2 of those triangles. To work out the area of that triangle, we would need to divide the value of 54 by 2, this gives us 27 inches squared.
The next step is to work out the area of the semi-circle. We can do this by multiplying pi by the radius of 3, squared, this gives us 28.27 inches squared (2 d.p). However, this is for a full circle and we need to work out the area of the semi-circle. We can do this by dividing the area of the circle, which is 28.27, by 2, this gives us 14.14 inches squared (2 d.p). This is because a semi-cirlce is half of a circle.
The final step is to add the Areas of the two shapes together. You can do this by adding the area of the triangle, which is 27 inches squared, to the area of the semi circle, which is 14.14 inches squared (2 d.p), this gives us 41.14 inches squared (2 d.p).
Step by Step:
1) Multiply 3 by 2.
\(3*2=6\)
2) Multiply 6 by 9.
\(6*9=54 inches^2\)
3) Divide 54 by 2.
\(54/2=27inches^2\)
4) Multiply pi by 3 squared.
\(\pi*3^2=28.27 inches^2 (2 d.p)\)
5) Divide 28.27 by 2.
\(28.27/2=14.14inches^2 (2 d.p)\)
6) Add 27 to 14.14.
\(27+14.14=41.14inches^2 (2 d.p)\)
Find the area of the trapezoid.
( The answer 10.5 is not correct )
Answers
Answer:
42 units
Step-by-step explanation:
Area of a trapezoid is always 1/2(b1+b2)*h
so here base 1 is 4 units, and base 2 is 10 units. When we add these we get 14, divided by 2 which is 7, and multiplied by height of 6, which is 42
5 - x divided by 3/4 x = 1/3
Answers
Answer:
x = 4
Step-by-step explanation:
(5-x) / (3/4x) = 1/3
multiply both sides by 3/4 x
5-x = 3/12 x add 'x' to both sides of the equation
5 = 15/12 x multiply both sides by 12/15
4 = x
The base of a triangle is 6 cm greater than the height the area is 56 cm² what is the height and length of a triangle
Answers
Answer:
The base is 14 and the height is 8
Step-by-step explanation:
8 times 14 is 112. 112 divided by 2 is 56.
Boris started on the treadmill after setting timer for 99 minutes. The display says he have finished 43% of his run. How many minutes have gone by. Round to the nearest tenth
Answers
99 minutes * 0.43 = 42.57 minutes
Rounding to the nearest tenth, we can say that approximately 42.6 minutes have gone by.