Answer:
x=6.93
Step-by-step explanation:
use the Pythagorean theorem
8^2=(0.5 x 8)^2+x^2
64=16+x^2
x^2=48
x=6.93
Answer:x= Square root 48
Step-by-step explanation:
answer the following...
What Two numbers add to -2 and multiply to -99
Answer and Step-by-step explanation:
To numbers that add to -2 and multiply to -99 are:
-11 and 9.
When we do -11 + 9, we get -2.
When we multiply -11 by 9, we get -99.
#teamtrees #PAW (Plant And Water)
someone walks into your room and dumps a huge bag of quarters all over the floor. they spread them out so no quarters are on top of any other quarters. a robot then comes into the room and is programmed such that if it sees a head, it flips it to tails. if it sees a tail, it throws it in the air. the robot moves around randomly forever. will there be a convergence in distribution of heads vs. tails?` definition 17 / 18 .
Yes, there will be a convergence in the distribution of heads vs. tails, as the number of tails will become equal to the number of heads in the long run.
This is because flipping a head to a tail and throwing a tail in the air are both random processes, and over time, the number of heads and tails will become equal, on average. However, it is unlikely to reach an exact balance in a finite amount of time.
When the number of flips increases the count of an equal proportion of the head and tales also increases. if the possibilities are an infinite number of times then the opportunities become equal.
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-2x - 3y = -7
y = 6x - 11
O (4,3)
• (2,1)
O (1,2)
O (2,3
Answer:
\(B.(2,1)\)
Step-by-step explanation:
Andre wants to buy a new car. Gas is so expensive; Andre wants to purchase a
car that has the best gas millage rate.
•
Car 1 has gas mileage that can be described as y = 25x, where x is the
number of gallon of gas used and y is the total miles driven.
Car 2 has he gas mileage rate displayed in the table below.
Number of
Gallons of
Gas
2
5
7
8
11
60
150
210
240
330
Which car should Andre buy? How many more miles per gallon can he
drive in this car than the other car?
Answer: Andre should buy Car 2. Brainliest?
Step-by-step explanation:
To compare the gas mileage of the two cars, we need to find out how many miles each car can travel per gallon of gas.
For Car 1: y = 25x
This means that for every gallon of gas used (x), the car can travel 25 times that amount in miles (y). So, the gas mileage for Car 1 is 25 miles per gallon (mpg).
For Car 2: we can calculate the miles per gallon by dividing the total miles traveled by the number of gallons of gas used:
For 2 gallons of gas, the car can travel 60 miles. So, the gas mileage is 30 mpg (60 miles ÷ 2 gallons).
For 5 gallons of gas, the car can travel 150 miles. So, the gas mileage is 30 mpg (150 miles ÷ 5 gallons).
For 7 gallons of gas, the car can travel 210 miles. So, the gas mileage is 30 mpg (210 miles ÷ 7 gallons).
For 8 gallons of gas, the car can travel 240 miles. So, the gas mileage is 30 mpg (240 miles ÷ 8 gallons).
For 11 gallons of gas, the car can travel 330 miles. So, the gas mileage is 30 mpg (330 miles ÷ 11 gallons).
Therefore, Car 2 has a consistent gas mileage of 30 mpg.
From the above calculations, we can see that Car 2 has a better gas mileage compared to Car 1. Car 2 can travel 30 miles on a gallon of gas, while Car 1 can only travel 25 miles on a gallon of gas.
Therefore, Andre should buy Car 2 if he wants to get the best gas mileage. Car 2 can travel 5 more miles per gallon than Car 1.
Help please! Again this is the last question
•What is the volume of Box A in cubic centimeters?
•What is the volume of Box B in cubic centimeters?
•What box can hold more?
I'm so tired bro idek
Answer:
\(Box\ A =30cm^3\)
\(Box\ B = 24cm^3\\\)
Box A can hold more
Step-by-step explanation:
Given
Box A
\(Length = 2cm\)
\(Width = 3cm\)
\(Height = 5cm\)
Box B
\(Length = 2cm\)
\(Width = 2cm\)
\(Height = 6cm\)
Solving (a): The volumes of both box
Volume is:
\(Volume = Length * Width * Height\)
\(Box\ A =2cm * 3cm * 5cm\)
\(Box\ A =30cm^3\)
\(Box\ B = 2cm * 2cm * 6cm\)
\(Box\ B = 24cm^3\\\)
Solving (b):
Box A can hold more because: \(30cm^3 > 24cm^3\)
Consider the following sample of fat content of n=10 randomly selected hot dogs
The average fat content of the ten hot dog samples is: 21.91
How to calculate the average fat of hot dog samples?To calculate the average fat of the hot dog samples we must add all the values and divide the result by the number of values as shown below:
25.2 + 21.3 + 22.9 + 17.0 + 29.8 + 21.0 + 25.5 + 16.0 + 20.9 + 19.5 = 219.1219.2 ÷ 10 = 21.91Note: This question is incomplete because there is some information missing. Here is the complete information:
Question: What is the average fat of the hot dogs?
Hot Dogs' fat
Sample 1: 25.2
Sample 2: 21.3
Sample 3: 22.9
Sample 4: 17.0
Sample 5: 29.8
Sample 6: 21.0
Sample 7: 25.5
Sample 8: 16.0
Sample 9: 20.9
Sample 10: 19.5
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Which equation represents the total number of black and white squares on the chess board?
The equation that represents the total number of black and white squares on the chess board is 8 * 2² = 32
How to determine the equation of the black and white squaresFrom the question, we have the following parameters that can be used in our computation:
The chess board
From the chess board, we have
Black squares = 32
White squares = 32
When factorized, we have
Black squares = 32 = 8 * 2²
White squared = 32 = 8 * 2²
Hence, the equation that represents the squares on the chess board is 8 * 2² = 32
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can i have help with this pls, no one will teach me it
Answer:
x = 21
Step-by-step explanation:
As stated in the hint: When angles form a linear pair, their sum is 180° in other words, these are supplementary angles:
3x + 18 + 4x + 15 = 180 add like terms
7x + 33 = 180 subtract 33 from both sides
7x = 147 divide both sides by 7
x = 21
Which angles below are equal to ∠CDB?
Answer:
(x) ∠CAB
Step-by-step explanation:
In ΔCOD and ΔBOA
\(\frac{OA}{OB} = \frac{OD}{OC} \\\\\implies \frac{OC}{OB} = \frac{OD}{OA}\)
Also,
∠COD = ∠BOA (vertically opposite angles)
⇒ ΔCOD and ΔBOA are similar
⇒ ∠CDO = ∠BAO
⇒ ∠CDB = ∠BAC
⇒ ∠CDB = ∠CAB
Solve (x + 6)2 = 64.
Answer:
x=26
Step-by-step explanation:
(x+6)2=64
x+6=32
x=26
Answer:
Here is the solution. Mark as brainlist please.
Round 72.46387 to the nearest whole number
Answer:
72Step-by-step explanation:
\(72.46387 = 72\)
4 is not up to 5
The blue dot is at what value on the number line?
???????
Answer:
The blue dot is -19
Step-by-step explanation:
Since every 2 ticks are worth 6 (|-10|-|-4|=6), then one tick is worth 3.
We are going backward, so we can count backward.
We have to go down 3 ticks, so -10-3=-13; -13-3=-16; -16-3=-19.
The blue dot is -19
PLEASE MARK AS BRAINLIESTAnswer: The blue dot equals to -19.
Step-by-step explanation:
On the number line, there are the numbers -10 & -4.
-7 would fit in the middle of them. That means the number line goes by minus 3.
Count -10 , -13, -16, then you get on the the blue dot which is -19.
Therefore, -19 is the answer.
PLEASE MARK AS BRAINLIESTFind the total future amount for $500 invested at 3.99% for 8 years compounded
monthly
State your answer in terms of dollars rounded to the nearest cent (hundredth).
Answer:
999.9
Step-by-step explanation:
hjvjg
Question 5 of 15, Step 1 of 14/15CorrectIfy is inversely proportional to x and y = -71 when x = 16, find yifx = 7. (Round off your answer to the nearest hundredth.)
Answer:
\(y=-31.06\)Step-by-step explanation:
Since y and x are inversely proportional, we'll have that:
\(y=\beta x\)For a given betha value. Since we have a pair of x and y values, we can plug them in the formula and find our particular value of betha, as following:
\(\begin{gathered} y=\beta x\rightarrow-71=\beta\times16\rightarrow\beta=-\frac{71}{16} \\ \end{gathered}\)This way, our formula would be:
\(y=-\frac{71}{16}x\)Plugging in x = 7,
\(\begin{gathered} y=-\frac{71}{16}x\rightarrow y=-\frac{71}{16}(7)\rightarrow y=-\frac{497}{16} \\ \\ \Rightarrow y=-31.06 \end{gathered}\)Which is the correct equation for a line that passes through the points (-2,7) and (2,-5)?
y=3x+5
y=1/3x+3
y= -3x-12
y= -3x+1
Answer:
y= -3x+1
Step-by-step explanation:
x1= -2 x2=2 y1=7 y2=-5
using the formula
(y-y1)/(x-x1)=(y2-y1)/(x2-x1)
(y-7)/(x-(-2))=(-5-7)/(2-(-2))
(y-7)/(x+2)=(-5-7)/(2+2)
(y-7)/(x+2)=(-12)/4
(y-7)/(x+2)=-3
cross multiply
y-7=-3(x+2)
y-7=-3x-6
y=-3x-6+7
y=-3x+1
Please help meee
Mr larson only wears his kilts on days he doestn ride his motorcycle. He owns 12 kilts and 10 motorcycles. He randomly picks one each day and returns it when he gets home. If you bumped into mr larson on Monday and Tuesday what is the percent probability that he was riding his motorcycle on both days?
Yall im crying help meee
On solving the provided question, we can say that there is a probability 20.66% chance that Mr. Larson rode his motorbike on both Monday and Tuesday.
What is probability?Probability theory is an area of mathematics that calculates the likelihood of an occurrence or a proposition being true. A risk is a number in the range of 0 and 1, whereas 1 implies certainty and a probability of roughly 0 indicates how likely an event seems to be to occur. Probability is a mathematical expression of the chance or chances that a given event will occur. Probabilities can alternatively be stated as integers between 0 and 1 or as % from 0% to 100%. the ratio of occurrences among equally likely choices that result in a certain event in comparison to all other outcomes.
Assuming that his decisions for the two days are independent, we must multiply the chance that he rides his motorbike on Monday by the probability that he rides it on Tuesday in order to get the likelihood that he does so on both Monday and Tuesday. Considering that his decisions on the two days are separate, Hence, the likelihood is:
(10/22) x (10/22) = 100/484 = 0.2066 or 20.66%
Hence, there is a roughly 20.66% chance that Mr. Larson rode his motorbike on both Monday and Tuesday.
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They are attached below.
14)The sum of the tangent and the sine of the angle is obtained as 1.21.
15)The area of the segment is 95.6 m^2 while the perimeter of the segment is 11.047 m.
16)The angle opposite the largest side is 130°.
What is the trigonometric ratios?The trigonometric ratios are the ratios that are designated as cos, tan and sine. It is important to note that the trigonometric ratios are particular to the right angled triangle. The meaning of the right angle triangle is that one of the angles in the triangle is about 90 degrees.
14)) We can find the hypotenuse by the use of the Pythagoras theorem that is used to find the parts of the right angle triangle.;
a = √2^2 + 3^2
a = √ 4 + 9
a = 3.6
We know that;
tan θ = 2/3 = 0.66
sin θ = 2/3.6 = 0.55
Then;
tan θ + sin θ
0.66 + 0.55
= 1.21
We can see by the use of the trigonometric ratios that we would obtain the sum of the sine and the tangent as 1.21.
15)
The area of the segment is obtained as;
Area of the triangle;
1/2r^2 sinθ
r= radius of the circle
θ = angle of inclination
1/2 * (10)^2 * sin 60
= 43.3
Area of the sector;
60/360 * 3.142 * (10)^2
= 52.3
Therefore the area of the triangle is;
43.3 + 52.3 = 95.6 m
b)The perimeter of the segment;
(2πr * θ/360) + 2rsin(θ/2)
(2 * 3.142 * 60/360) + (2 * 10 * sin (60/2))
1.047 + 10
= 11.047 m
16)
Using;
c^2 = a^2 + b^2 - 2abcos C
20^2 = 13^2 + 9^2 - 2(13 * 9) cos C
400 = 250 - 234cosC
400 - 250 = - 234cosC
150 = - 234cosC
Cos C = -(150/234)
C = Cos-1-(150/234)
C = 130°
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For the question of total area of the cuboid is 200cm^.
I understand where we divide 150 by 4.
But why do I need to multiply by 5, when there are 6 faces.
You need to multiply by 5 instead of 6 because each pair of opposite faces on a cuboid has the same area, so by considering one face from each pair, you ensure that you don't count any face twice.
When calculating the total surface area of a cuboid, you need to understand the concept of face pairs.
A cuboid has six faces, but each face has a pair that is identical in size and shape.
Let's break down the reasoning behind multiplying by 5 instead of 6 in the given scenario.
To find the surface area of a cuboid, you can add up the areas of all its faces.
However, each pair of opposite faces has the same area, so you avoid double-counting by only considering one face from each pair. In this case, you have five pairs of faces:
(1) top and bottom, (2) front and back, (3) left and right, (4) left and back, and (5) right and front.
By multiplying the average area of a pair of faces by 5, you account for all the distinct face pairs.
Essentially, you are considering one face from each pair and then summing their areas.
Since all the pairs have the same area, multiplying the average area by 5 gives you the total surface area.
When dividing 150 by 4 (to find the average area of a pair of faces), you are essentially finding the area of a single face.
Then, by multiplying this average area by 5, you ensure that you account for all five pairs of faces, providing the total surface area of the cuboid.
Thus, multiplying by 5 is necessary to correctly calculate the total surface area of the cuboid by accounting for the face pairs while avoiding double-counting.
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A quadrilateral is shown.
H
6.5
5.51
What is the area of the quadrilateral? Enter the answer in the box.
The calculated area of the quadrilateral is 35.82 square units.
What is the area of the quadrilateral?Given that
BAse = 6.5
Height = 5.51
To find the area of a quadrilateral, we need to multiply the base by the height.
Area of quadrilateral = base x height
Substituting the given values, we get:
Area = 6.5 x 5.51
Area = 35.815
Rounding to the nearest hundredth, the area of the quadrilateral is 35.82 square units.
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Can you help me with this pls?
Discrete Mathematics
For each language L1 to L5, described below, you need to do the following:
• Create a regular expression that defines the language accurately.
The alphabet A = {a, b} will be used.
The languages are:
1. L1 which has exactly one a but any number of bs.
2. L2 which has an odd number of as and an even number of bs.
3. L3 which contains exactly two as or exactly two bs, although not necessarily adjacent.
4. L4 which has all the bs appearing before any of the as, or all the as appearing before any of the bs.
5. L5 where there can be any number of as but the number of bs must be even, although the bs do not have to be adjacent.
Note: ^ is for Start of the line, $ is for end of the line ,* means 0 or more, + means 1 or more, [ab] means either a or b and {} is for specific number of times, () is for grouping.
How to create regular expressions?A task in which it is necessary to create regular expressions to define five different languages. The alphabet used is A = {a, b}. The languages are:
L1, which has exactly one "a" but any number of "bs".
L2, which has an odd number of "as" and an even number of "bs".
L3, which contains exactly two "as" or exactly two "bs", although not necessarily adjacent.
L4, which has all "bs" appearing before any "a" or all "as" appearing before any "b".
L5, where there can be any number of "as", but the number of "bs" must be even, although the "bs" need not be adjacent.
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Pls answer and show work!!
Marcos can eat 9 redhots in 15
seconds. At this rate, how
many red hots can he eat in 90
seconds?
Answer:
54
Step-by-step explanation:
90 divided by 15 is 6
9 times 6 is 54
Mark me as brainliest if this helps!
A cylinder has a height of 5 feet. Its volume is 1,570 cubic feet. What is the radius of the cylinder? Use ≈ 3.14 and round your answer to the nearest hundredth.
The radius of the cylinder is equal to 10 feet.
How to calculate the volume of a cylinder?In Mathematics and Geometry, the volume of a cylinder can be calculated by using the following formula:
Volume of a cylinder, V = πr²h
Where:
V represents the volume of a cylinder.h represents the height of a cylinder.r represents the radius of a cylinder.By substituting the given parameters into the formula for the volume of a cylinder, we have the following;
V = πr²h
1,570 = 3.14 × r² × 5
1,570 = 15.7r²
r² = 1,570/15.7
r² = 100
Radius, r = √100
Radius, r = 10 feet.
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A linear function has an x-intercept of
-2 and a y-intercept of 6. Which of the
following is an equation of the linear
function?
PLEASEE IM DOING A TEST!!
Answer:
y = -1/3x + 6
Step-by-step explanation:
You have the formula y = mx + b
We can put in:
b=6
m=-2/6=-1/3
y=-1/3x+6
Please answer this correctly without making mistakes
Answer:
32
Step-by-step explanation:
18 - (-14) = 18 + 14 = 32
You can also just count the squares between them.
4. A large university amphitheatre has semi-circle seating with
30 seats in the first row, 32 seats in the second row, 34 seats in
the third row, and so on. The theatre has 50 rows.
a) Develop a formula to calculate the number of seats in
the first n rows.
b) How many seats are there in the first 12 rows?
c) How many seats are available in total in the whole
amphitheatre?
Answer:
a) Sum = 28n + n² + n
b) 492 seats
c) 3950 seats
Step-by-step explanation:
The given data forms arithmetic series.
30, 32, 34,.........
Total rows = n = 50.
a = first term = 30
Common difference = d = second term - first term
= 32 -30
= 2
a) Sum = (28 + 2) + (28 + 4) +.................+ 28 + 2n
= 28n + (2 + 4 + ...... +2n)
Sum of first 'n' even numbers = n*(n+1)
= 28n + n *(n + 1)
= 28n + n² + n
b) To find the number seats in the first 12 rows, use the formula,
\(\boxed{\bf S_n =28n +n^2 + n}\)
\(\sf S_{12} = 28*12 +12^2 + 12\\\\\)
= 336 + 144 + 12
= 492
_____________________________________________
c)
\(\sf S_{50} =28*50 + 50^2 + 50\\\\\)
= 1400 + 2500 +50
=3950
Total seat available in the whole amphitheatre = 3950 seats
Name a value for x that will complete the inequality that is shown. Then, explain why the value makes the inequality true.
0.125 < x < 9/50
Explain in 3-5 sentences
Thank you
========================================================
Explanation:
Convert the fraction 9/50 to decimal form. You can use either long division or a calculator.
You should find that 9/50 = 0.18 which is the same as 0.180
So the original compound inequality is the same as saying 0.125 < x < 0.180
This tells us that x is between 0.125 and 0.180 where x is not equal to either endpoint. We simply need to pick anything in this interval. It can be anything you want (I recommend to use a number line to help pick a value). One such value is 0.157. There are infinitely many values you can select from.
The number 0.157 is between 0.125 and 0.180, ie 0.125 < 0.157 < 0.180
It's very similar to saying 157 is between 125 and 180, ie 125 < 157 < 180.
Answer:
To solve your inequality using the Inequality Calculator, type in your inequality like x+7>9. The inequality solver will then show you the steps to help you learn how to solve it on your own. Less Than Or Equal To. Type = for "less than or equal to". Here is an example:
Step-by-step explanation:
Uniform Distribution Notation Format Which of the following is the correct notation used for a uniform probability distribution where the smallest value of the random variable X is 9, and the largest value of the random variable X is 28. X - B{9, 28) X - U(28.9) You Answered U - X(9, 28) Correct Answer X - U(9,28)