Answer:
285 Miles in 5 Hours
Step-by-step explanation:
342/ 6 = 57
57 x 5 = 285
Hey does anyone know how to solve this need an answer quickly
What numbers are missing from the pattern below? Enter your answer, using
a comma to separate each number.
120, 5, 48, 70, ?, ?, ?, ?, 120, 5, 48, 70
Answer here
Mathematics what is 567divide by 8
Answer:
70.875
Step-by-step explanation:
Don't you have a calculator..?
Use differences to find a pattern in the sequence.
3,8,15,28,51,88,143
Assuming that the pattern continues, the eighth term should be
Answer:
220
Step-by-step explanation:
You want to use differences to find the pattern and the next term in the sequence 3, 8, 15, 28, 51, 88, 143.
First differencesSubtracting each term from the next, we find the sequence of first differences to be ...
5, 7, 13, 23, 37, 55
Second differencesThe first differences are not constant, so we know the sequence is not linear. They are not in an arithmetic progression, so we know the sequence is not quadratic. They do not have a common ratio, so we know the sequence is not exponential.
The second differences are the differences of the sequence of first differences. They are ...
2, 6, 10, 14, 18
Third differencesThe differences of the terms of the 2nd-difference sequence are constant: 4.
4, 4, 4, 4, 4
Constant 3rd differences mean the original sequence can be described by a 3rd degree polynomial. The coefficients found by a calculator are shown in the attachment.
Next termSince we know the third differences are constant, we can work our way back up the chain of differences to find the next term of the original sequence.
next 2nd difference = 18 +4 = 22
next 1st difference = 55 +22 = 77
next sequence term = 143 +77 = 220
The eighth term should be 220.
__
Additional comment
The n-th term is ...
f(n) = 2/3n^3 -3n^2 +28/3n -4
Solve the following system by graphing. Whichfigure shows the graphic solution to the equationsbelow?
To solve this question, we need to find the x-intercepts and the y-intercepts for each of the equations. After having these values, we will have a pair of points for one equation, and another pair of points for the other equation.
We can proceed as follows:
First case:
We can find the y-intercept if we have x = 0. Then, the y-intercept is:
\(y=-\frac{1}{4}x+3,x=0\Rightarrow y=3\)Similarly, the x-intercept is (for y = 0, we then have x):
\(0=-\frac{1}{4}x+3\Rightarrow-3=-\frac{1}{4}x\Rightarrow-4\cdot(-3)=-4\cdot(-\frac{1}{4}x)\Rightarrow12=x\Rightarrow x=12\)Then, for the first equation, we have that the y-intercept is (0, 3), and the x-intercept is (12,0). These two points are important to graph this equation.
Second Case:
We can proceed in the same way to find the y-intercept and the x-intercept.
\(y=\frac{3}{4}x-1,x=0\Rightarrow y=-1\)Then, the y-intercept is (0, -1).
The x-intercept is
\(0=\frac{3}{4}x-1\Rightarrow\frac{3}{4}x=1\Rightarrow\frac{4}{3}\cdot\frac{3}{4}x=\frac{4}{3}\cdot1\Rightarrow x=\frac{4}{3}\)Hence, the x-intercept is (4/3, 0).
Having all of this information, we can graph the first line using the points:
The y-intercept is (0, 3)
The x-intercept is (12,0)
And then, we can graph the second line using the points:
The y-intercept is (0, -1)
The x-intercept is (4/3, 0).
The graph is
And the solution is the point where both lines intercept each other, that is the point x = 4, and y = 2.
If we see the answer choices we have that the answer is the second graph.
The set of ordered pairs below is a relation. {(1, 5), (0, 2), (-1, -1), (-2, -4)} What is the range of the relation?
Answer:
{ - 4, - 1, 2, 5 }
Step-by-step explanation:
the range is the values of y from the ordered pairs in the relation
range = { - 4, - 1, 2, 5 }
Triangle DEF has an angle D measuring 25 degrees and an angle E
measuring 50 degrees.
What is the measure of angle F, in degrees?
Answer:
The angle F of the triangle DEF measures 105 degrees.
Step-by-step explanation:
Given that triangle DEF has an angle D measuring 25 degrees and an angle E measuring 50 degrees, to determine what is the measure of angle F in degrees, knowing that the sum of the internal angles of every triangle gives a total of 180 degrees, we must perform the following calculation:
180 - 50 - 25 = F
130 - 25 = F
105 = F
Therefore, the angle F of the triangle DEF measures 105 degrees.
Which of the following represents the distributive property?
A. a = b then bea
B. a(b+c)=ab+ac
C. if a = band b-c, then a = c
D. If a = b then ac- be
The expression represents the distributive property from the list of options is (b) a(b + c) = ab + ac
Which of the expression represents the distributive property?The distributive property is a mathematical property that applies to multiplication and addition or subtraction.
It states that when you multiply a number (or variable) by a sum or difference inside parentheses, you can distribute the multiplication across the terms inside the parentheses.
This is represented by the following formula:
a(b + c) = ab + ac
This is represented by Option (B)
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3. A rectangular room measures 18 feet by 24 feet. Carpeting for the floor costs $52 per square y
What is the total price to carpet this floor?
Answer:
$2496
Step-by-step explanation:
You want to know the cost of carpeting a 18 ft by 24 ft room with carpet that costs $52 per square yard.
AreaThe dimensions of the room in yards are (18 ft)/(3 ft/yd) = 6 yd, by (24 ft)/(3 ft/yd) = 8 yd.
In square yards, the area is ...
(6 yd)(8 yd) = 48 yd²
CostThe cost of one square yard of carpet is $52, so the cost of 48 square yards will be 48 times as much.
(48 yd²)($52/yd²) = $(48·52) = $2496
The total price to carpet the floor is $2496.
__
Additional comment
We're reluctant to call this the total price, as there are usually additional charges for tax, carpet pad, delivery, installation, removal and disposal of old flooring, and possibly additional materials such as tack strips or thresholds. Repairing mold or water damage, or leveling the floor, can also add cost.
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what is a fraction? please help
\(\huge\bold{ANSWER:}\)
A fraction is a part of a whole.
\(\huge\bold{EXPLANATION:}\)
A fraction is a part of a whole.
Fractions should be equal parts.
Example: Suppose you have a cake, and you want to divide it equally between your friends.
Let's assume there are 4 people (including you)
So, you take a knife and cut the cake into 4 equal parts.
Everyone gets a part of the cake. If the parts are equal, then we have fractions.
How to Write Fractions
Fractions are written with a numerator and a denominator.
A fraction looks like so:
\(\displaystyle\frac{1}{4}\)
In the above example, 1 is the numerator, and 4 is the denominator.
Let's use the cake example to clarify some doubts that you might have.
Suppose we have 4 girls: Angelia, Grace, Violetta and Hope, and a delicious cake.
Angelia takes a knife and cuts the cake into 4 equal parts, and everyone gets \(\displaystyle\frac{1}{4}\) of the cake.
Now, here's what I wanted to tell you:
\(\star\star\star\) There was a total of 4 pieces of the cake (the denominator shows that),
\(\star\) Each girl gets 1 out of 4 parts (\(\frac{1}{4}\))
What does \(\displaystyle\frac{1}{4}\) mean?
It means one-fourth, and it also means this:
There were 4 parts, and one of them was taken.
Hope you find it helpful.
Feel free to ask if you have any doubts, since I know a lot about fractions.
\(\bold{-MistySparkles^**^*}\)
help me please i will give you brainliest
Answer:
its b!
please brainliest
Please help!!!!
I struggle in math so if you could help thatd be amazing
Answer:
1-b 2-c 3-a 4-d 5-d 6-a
Step-by-step explanation:
Solve using the correct order of
operations.
P
E
MD
AS
15-(4-3) 2= [?]
Enter
Help
Here using the correct order of operations that is PEMDAS, we get the value to be 13.
Define PEMDAS?PEDMAS can be summed up as a mathematical acronym that lists the various arithmetic operations in order of greatest to least practical use.
The letters stand for:
P stands for parentheses.
Exponents are shown as E.
D stands for division.
The letter M stands for multiplication.
A stand for addition.
S stands for subtraction.
Now in the given question,
15 - (4-3)2
First the parentheses
15 - (1)2
Next is exponents.
15 - 2
At last, after subtracting, we get:
13
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6. To play a board game, there must be at least 4 people on each team. You
divide your friends into 3 groups. Write and solve an inequality to represent
the number of friends playing the game.
The inequality that best represent the expression is x ≥ 12
What is inequality?A relationship between two expressions or values that are not equal to each other is called 'inequality. ' So, a lack of balance results in inequality.
The sign for greater than is >
The sign for less than <
The sign for greater than or equal to is ≥
The sign for less than or equal to is ≤
There must be at least 4 people in the group. This means that a group member must greater or equal to 4. There are 3 groups.
Represent the value of the number of friends by x
then, x/3 ≥ 4
therefore x ≥ 12
this means that the number of friends must be greater or equal to 12
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Click an item in the list or group of pictures at the bottom of the problem and, holding the button down, drag it into the
correct position in the answer box. Release your mouse button when the item is place. If you change your mind, drag
the item to the trashcan. Click the trashcan to clear all your answers.
Factor completely and then place the factors in the proper location on the grid.
4n^2 +28n +49
Answer:
n = -7/2Step-by-step explanation:
Given the equation 4n^2 +28n +49, to get the factors of the equation, we need to factorize the equation completely as shown;
= 4n² +28n +49
Using the general formula n = -b±√b²-4ac/2a
from the equation: a = 4, b = 28 and c = 49
n = -b±√b²-4ac/2a
n = -28±√28²-4(4)(49)/2(4)
n = -28±√784-784/8
n = -28±√0/8
n = -28/8
n = -7/2
The factor of the given function is -7/2
+ AlpQLScihp oans IbEmC-HAVOXMXB3Betzzi9sI8550WzDcwaron have a spinner divided into 8 equal sections. Each section is bered with a number 1 through 8. Salma is going to spin the spinner 1600 times. Theoretically, how many times should she land on a 1, 2, 3
Answer:
Salma should land her spinner on a 1, 2 or 3 about 600 times.
Step-by-step explanation:
Since Salma has a spinner divided into 8 equal sections, and each section is bered with a number 1 through 8, and Salma is going to spin the spinner 1600 times, to determine, theoretically, how many times should she land on a 1, 2, 3 the following calculations must be performed:
8 = 100
3 = X
3 x 100/8 = X
300/8 = X
37.5 = X
100 = 1600
37.5 = X
37.5 x 1600/100 = X
60000/100 = X
600 = X
Therefore, Salma should land her spinner on a 1, 2 or 3 about 600 times.
21) Kinzang is 1.49 m tall. He was 0.53 m at birth. How much did he grow?
Kinzang grew 0.96 meters.
We have,
To find how much Kinzang grew, we need to subtract his height at birth from his current height:
Height Kinzang grew = Current height - Height at birth
Height Kinzang grew = 1.49 m - 0.53 m = 0.96 m
Therefore,
Kinzang grew 0.96 meters.
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the following figure shows triangle abc with side lengths ab=10 bc=8 and ca=5 de is constructed parallel to ab and to originate at point d, the missing of ac
Answer:
Step-by-step explanation:
About 9% of the population has a particular genetic mutation. 600 people are randomly selected.
Find the standard deviation for the number of people with the genetic mutation in such groups of 600.
Answer:
The mean for all such groups randomly selected is 0.09*800=72.
Step-by-step explanation:
The value of the standard deviation is 7.
What is the standard deviation?Standard deviation is defined as the amount of variation or the deviation of the numbers from each other.
The standard deviation is calculated by using the formula,
\(\sigma = \sqrt{Npq}\)
N = 600
p = 9%= 0.09
q = 1 - p= 1 - 0.09= 0.91
Put the values in the formulas.
\(\sigma = \sqrt{Npq}\)
\(\sigma = \sqrt{600 \times 0.09\times 0.91}\)
\(\sigma\) = 7
Therefore, the value of the standard deviation is 7.
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The points D(-9,8) and E(3,-13) are on a coordinated plane. What is the approximate distance between points D and E?
Answer:
d = 23.345235
Step-by-step explanation:
Andrew bought 3 boxes of granlla bars. There are 13 granola bars in each box. choose the expression that shows how many granola bars Andrew brought.
13+b
13b
b÷13
13÷b
Answer:
13b
Step-by-step explanation:
Answer:
The correct Answer is B: 13B
Step-by-step explanation:
Have A Nice Day.
please i need help asap
Answer:
yeah f(x) = 2
Step-by-step explanation:
because there is no x and f(x) is on positive 2
PLZ ANY HELPPP I WILL MARK YOU BRILLLLLLL
Answer:
27
Step-by-step explanation:
Answer:
27
Step-by-step explanation:
-5a -b
-5(-6) -3
30 -3 = 27
ILL DO BRAINLIEST
In the diagram, bisects FGI.
Angle FGI is formed from angles FGH and HGI. Angle FGH measures 5 x minus 2 degrees. Angle HGI measures 6 x minus 8 degrees.
a.
Solve for x and find mFGH.
b.
Find mHGI.
c.
Find mFGI.
Answer:
a. X=6°
b. 6(6)-8= 28°
c. 28+( 5(6)-2) = 56°
Enter an algebraic expression that represents the sum of fifty-seven and x cubed.
PLEASE HELP ITS DUE IN 30 MIN
Answer:
M_ -6f
T_ -4f ( T+W= -2F= 6-2=4 = -4f (changing it the greater change would be -4 cause it is meaning as in it changed from 6 to 4 and it didn't talk about if Sunday to Monday temp was sooo (btw if your teacher takes a quick glance of your hw just write down a correct answer on two questions in bolder pencil to catch her eyes to only that)
Step-by-step explanation:
prove that : 1/1-secA + 1/1+secA = -2cot^2A
Answer:
Step-by-step explanation:
LHS = 1/1-secA + 1/1+secA
\(= \frac{1*(1+Sec A)}{(1-Sec A)(1+Sec A)}+\frac{1*(1-Sec A)}{(1+Sec A)*(1-Sec A)}\\\\=\frac{(1+Sec A)}{1-Sec^{2} A}+\frac{(1-Sec A)}{1-Sec^{2} A}\\\\=\frac{1+Sec A+1-Sec A}{(1-Sec^{2} A)}\\\\= \frac{2}{(1-Sec^{2} A)}\\\\=\frac{2}{-(Sec^{2} A - 1)}\\\\= \frac{-2}{Tan^{2} A}\\\\= -2Cot^{2} A\)
What is the value of b?
Roselyn is driving to visit her family, who live 150 kilometers away. Her average speed is 60 kilometers per hour. The car's tank has 20 liters of fuel at the beginning of the drive, and its fuel efficiency is 6 kilometers per liter. Fuel costs 0.60 dollars per liter. How long can Roselyn drive before she runs out of fuel?
Roselyn can drive a distance until she runs out of fuel for a time of 2.5 hours or until she spends all the fuel, whichever comes first.Roselyn can travel 120 km before running out
Distance travelled with 20 l of petrol in solution and final answer.
Roselyn's average speed is 60 kilometers per hour, and she needs to travel 150 kilometers to reach her family's place. Therefore, she will require a total of 150/60 = 2.5 hours to complete the journey.
The car's fuel efficiency is 6 kilometers per liter, meaning it consumes 1/6 liters of fuel per kilometer. To determine the total fuel required, we multiply the fuel consumption rate by the total distance: 150 * (1/6) = 25 liters of fuel.
Since the car's tank has 20 liters of fuel at the beginning of the drive, Roselyn will need an additional 25 - 20 = 5 liters of fuel to complete the journey.
As fuel costs 0.60 dollars per liter, Roselyn will need to spend a total of 5 * 0.60 = 3 dollars to purchase the necessary fuel.
Therefore, Roselyn can drive until she runs out of fuel for a time of 2.5 hours or until she spends all the fuel, whichever comes first.
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The taxi fare in a city is as follows: For the first kilometer, the fare is Rs. 18 and for the subsequent
distance it is Rs. 15 per kilometer. Taking the distance covered as x km and total fares as Rs. y, write a
linear equation for this information, and draw its graph.
please a answer this question!
Answer:
y = 15x +3
Step-by-step explanation:
If the rate were a straight Rs15 per km, then the equation would be ...
y = 15x . . . . fare for x km
However, the first km has an additional Rs3 added to the fare. So, the equation is ...
y = 15x +3 . . . . . fare in Rs for x km