The distance that the plane flies between the two cities is 2475 miles.
What is velocity?Velocity is the rate of distance covered per time. Velocity could be average or instantaneous.
For example, if a car drives 50 meters for 10 seconds and it is constant then 50/10 = 5 meters/second will be the velocity.
Time taken = distance covered / velocity
In the first case ;
Time taken = 5 hour.
Velocity = V(Let's say)
Distance covered = x
So,
5 = x/V
x = 5V
Now,
In the second case ;
Velocity = V - 99 (99 slower to first)
Time taken = 6 hours and 15 minutes = 6.25 hour
Distance covered = x
So,
6.25 = x/(V - 99)
x = 6.25V - 618.75
By equating
6.25V - 618.75 = 5V
1.25V = 618.75
V = 495 miles / hour
Now,
x = 5(495) = 2475 miles.
Hence "The distance that the plane flies between the two cities is 2475 miles".
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What is the difference between Congruent and Non-Congruent?
PLEASE HELP BEEN STUCK ON THIS FORVER! AND ITS DUE SOON! WILL GET 100 POINTS FOR HELPING CORRECTLY!
FIND THE 100TH LINE SEGMENT
CUBE #1 HAS 4 LINES
CUBE #2 HAS 12
CUBE #3 HAS 24
WHATS THE 100TH LINE SEGMENT USING NTH TERM.
PICTURE BELOW!
Answer:
20,200
Step-by-step explanation:
Let the number of lines in each cube be a term in the sequence:
4, 12, 24, 40, ...
Work out the differences between the terms until the differences are the same:
[tex]4 \underset{+8}{\longrightarrow} 12 \underset{+12}{\longrightarrow} 24 \underset{+16}{\longrightarrow} 40[/tex]
[tex]8 \underset{+4}{\longrightarrow} 12 \underset{+4}{\longrightarrow} 16[/tex]
As the second differences are the same, the sequence is quadratic and will contain an n² term. The coefficient of n² is always half of the second difference. Therefore, the coefficient of n² is 2.
To work out the nth term of the sequence, write out the numbers in the sequence 2n² and compare this sequence with the given sequence.
[tex]\begin{array}{|c|c|c|c|c|}\cline{1-5} n & 1 & 2 & 3 & 4\\\cline{1-5}2n^2 & 2 & 8 & 18 & 32\\\cline{1-5}\sf operation & +2&+4&+6&+8 \\\cline{1-5}\sf sequence & 4 & 12 & 24 & 40\\\cline{1-5}\end{array}[/tex]
From inspection of the table, we can see that the "operation" is to add 2n to 2n².
Therefore, the nth term is:
[tex]a_n=2n^2+2n[/tex]
To find the number of lines in the 100th cube, substitute n = 100 into the equation for the nth term:
[tex]\begin{aligned}n=100 \implies a_{100} & = 2(100)^2+2(100)\\& = 2(10000)+200)\\& = 20000+200\\& = 20200\end{aligned}[/tex]
Therefore, the 100th cube has 20,200 lines.
solve system of equations by using elimination method. (solve for (x,y,z) please explain the steps im so confused.
4x-y-2z=-8
-2x+4z=-4
x+2y=6
The solution to the given system of equations is x = -2, y = 4, and z = -2. That is, the solution is (-2, 4, -2)
From the question, we are to solve the given system of equations
The given system of equations is
4x - y -2z = -8 ------------ (1)
-2x + 4z = -4 ------------ (2)
x + 2y = 6 ------------ (3)
From equation (2)
-2x + 4z = -4
4z = -4 + 2x
Divide through by 2
2z = -2 + x ----------- (4)
From equation (3)
x + 2y = 6
2y = 6 - x
y = 3 - 1/2(x) ---------- (5)
Substitute equations (4) and (5) into equation (1)
4x - y -2z = -8
4x -(3 -1/2(x)) - (-2 +x) = -8
4x -3 + 1/2(x) + 2 - x = -8
Multiply through by 2
8x - 6 + x + 4 -2x = -16
Collect like terms
8x + x -2x = -16 + 6 - 4
7x = -14
x = -14/7
x = -2
Substitute the value of x into equation (4)
2z = -2 + x
2z = -2 + (-2)
2z = -2 - 2
2z = -4
z = -4/2
z = -2
Substitute the value of x into equation (5)
y = 3 - 1/2(x)
y = 3 - 1/2(-2)
y = 3 + 1
y = 4
Hence, the solution to the given system of equations is x = -2, y = 4, and z = -2. That is, (-2, 4, -2)
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Find CD if KD=x+1 And KC=2x-1
Answer:
B) 2
Step-by-step explanation:
Is BK bisecting CD?
x + 1 = 2x -1 Subtract x from both sides
1 = x -1 Add 1 to both sides
2 = x
LESSON 7.6 THERE ARE 4 QUESTIONS HERE PLEASE ANSWER ALL FOUR TO GET THE POINTS
Find the measure of the indicated angle to the nearest degree.
By using a trigonometric relation, we can see that the missing angle is a = 41.1°
How to find the missing angle on the right triangle?In the image we have a right triangle where we know the measures of the 3 sides and we want to find an interior angle.
These measures are:
Hypotenuse: 73 units.Opposite cathetus: 48 units.Adjacent cathetus: 55 units.Now we can use the trigonometric relation:
Cos(a) = (adjacent cathetus)/(hypotenuse)
Where a is the angle we want to get, so we can rewrite:
Cos(a) = 55/73
Now, if we apply the inverse cosine function in both sides, we get:
Acos(Cos(a)) = Acos( 55/73)
a = Acos(55/73) = 41.1°
By using a trigonometric relation, we can see that the missing angle on the right triangle is a = 41.1°
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25°
y
x 120°
y=[? ]º
Answer:9514 1404 393
Answer:
y = 95°
x = 60°
Step-by-step explanation:
The applicable theorem is the one that says the exterior angle (120°) is the sum of the remote interior angles:
120° = 25° +y
95° = y . . . . . . . . . . subtract 25° from both sides
_____
If you like, you can get there by calculating x (or not):
x = 180° -120°
y = 180° -25° -x = 180° -25° -(180° -120°)
y = 120° -25° . . . . . simplify — notice we didn't actually have to compute x
Step-by-step explanation:
What is an equation of the line that passes through the points (5,0) and (-8,0)
Answer:
y = 0x
explaination
4. Edwin, his brother, and his dad decide to have a 1 week reading competition.
Edwin reads ten times more pages that week than his little brother, but ten times
less than his father. If Edwin read 50 pages, how many total pages did he, his
brother, and his father read combined?
The total pages read by Edwin's little brother is 5 and his father is 55 pages in reading competition.
What is defined as the ten times the number?When a number is multiplied by ten times its value, the final result is obtained by multiplying the number by ten and adding the result calculated to the original number.Example: 5 is the number.
If the number 5 is multiplied by ten, the process looks like this.
5 × 10 = 50
50 + 5 = 55
55 as a final result
For, the given question,
Edwin read 50 pages in a week in reading competition.
Edwin reads 10 times more than his brother.
Thus, if the pages read by his little brother is x.
Then,
10 x = 50
x = 5
Thus, pages read by his little brother is 5 pages.
Now, the pages read Edwin is 10 times more than his father.
his father = 50 + 5 = 55
Thus, the pages read by his father is 55 pages.
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the perimeter of a college basketball court is 96 meters
and the length is 3 meters less then twice the width.
What are the demensions.
Answer:
Width=17m and Length=31m
Step-by-step explanation:
The perimeter of basketball court is rectangle in shape and is 96 m.
let us assume width be x m
so accordingly length will be 2*x-3=2x-3m
Perimeter= 2*(length+width)
96=2*(2x-3+x)
96=2*(3x-3)
96=6x-6
6x=102
x=102/6
x= 17
so, the width is 17m
and length is 2x-3=2*17-3=31m
What is .75x.75x.75x.75x.75 written as a power
Answer: 75^5 which mean 75 to the 5th power
Step-by-step explanation:
Write 3thousands 16 tens 7 ones in standard form
Answer: 3,167
Step-by-step explanation:
4. A sporting goods store ordered new bikes and scooters. For every 3 bikes ordered, 4 scooters were ordered. However, bikes were way more popular than scooters, so the store changed its next order. The new ratio of the number of bikes ordered to the number of scooters ordered was 5:2. If the same amount of sporting equipment was ordered in both orders and 64 scooters were ordered originally, how many bikes were ordered as part of the new order?
Answer: Bikes were ordered as part of new order order is = 80 bikes
scooters were ordered as part of new order order is = 32 scooters.
Step-by-step explanation:
Given data,
A sporting goods store ordered new bikes and scooters.
For every 3 bikes ordered, 4 scooters were ordered.
Then, The ratio of the bike and scooter is equal to = 3:4
where,
bike ratio is 3
scooter ratio is 4
Then 48 bikes
original order = 64 scooter
= 64/4
= 16 scooters
However, bike is more popular than scooter.
So,
they changed it into new ratio = 5:2
where,
5 is equals to bikes ratio
and 2 is equal to scooter ratio.
Then,
5(original order) = 5(16)
= 80 bikes
2(original order) = 2(16)
= 32 scooters.
Therefore,
bikes were ordered as part of new order order is = 80 bikes
scooters were ordered as part of new order order is = 32 scooters.
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Points J and K lie in plane
How many lines can be drawn through points J and K?
0
1
2
3
(B) 1 line can be drawn through points J and K.
What are lines?Line, the fundamental element of Euclidean geometry. A line, according to Euclid, is an interval between two points that can be extended in either direction indefinitely. Such an extension in both directions is now considered a line, whereas Euclid's original definition is considered a line segment.So,
It is clear from the image that there is a plane H on which two pints J and K are located.According to one of Euclid's axioms, "Through any given two points X and Y, only one and only one line can be drawn."As a result, according to Euclid's geometry, only one line can be drawn through the given points J and K in plane H.Therefore, (B) 1 line can be drawn through points J and K.
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The correct question is given below;
Points J and K lie in a plane. How many lines can be drawn through points J and K?
a. 0
b. 1
c. 2
d. 3
Suppose X is normally distributed with a mean of 5 and a standard deviation of 0.4. Assume that P(X ≤ X₀) = P(Z ≤ 1.3). Which of the following equations should be solved to get the value of X₀?
For the standard deviation, from the equation find the value of X₀ is 10.2
What is Standard Deviation ?
The standard deviation measures the degree of variation or dispersion in a set of values. A low standard deviation indicates that the values tend to be close to the mean (also known as the expected value) of the set, whereas a high standard deviation indicates that the values are dispersed over a wider range.
Given
Z = 1.3
μ = 5 , σ = 0.4
Now for X₀
Z = X₀ -X / σ
1.3 = X₀ - 5 / 0.4
X₀ = 10.2
Hence, X₀ = 10.2
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HELP ASAP I DONT WANT TO FAIL
Answer:
2
Step-by-step explanation:
Enter the difference in feet between the elevation at Zabriskie Point and Badwater Basin
The distinction in feet between the elevation at Zabriskie purpose and Badwater Basin is 930 feet.
Subtraction is associate degree operation wont to realize the distinction between numbers. Difference: the ultimate result once subtracting the number from the number.The image of the amount line of the question is given below.
From the image , we are able to see that
Zabriskie purpose is at 648 feet and Badwater Basin is at - 282 feet.
The distinction between these points is given by
= 648 - (-282)
= 930 feet
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The complete question is mention below :
The number line shows four elevations in Death Valley National Park.Enter the difference ,in feet between the elevation at Zabriskie Point and Badwater Basin .
Looking at the box-an-whisker plot for the package weight data below, what
does the position of the median line in the box and the length of the whiskers
tell you about the shape of the distribution?
Ground Beef Package Weight Data (in pounds)
0.75
0.83
0.87
0.89
0.89
0.89
0.92
0.93
0.96
0.96
0.97
0.98
0.99
1.06
1.08
1.08
1.15
1.16
1.16
1.19
1.19
1.2
1.21
1.24
1.28
1.38
1.41
OA. The data is uniformly distributed.
B. The distribution is strongly skewed to the right.
OC. The position of the median and length of whiskers tell you little
about the shape of the distribution.
D. The data is roughly symmetrical and mound-shaped (normally
distributed).
O E. The distribution is strongly skewed to the left.
The box-plot for the package shows that median is almost at center and the data is roughly symmetrical and mound -shaped (normally-distributed ) .
A box plot, ajso referred to as a box and whisker plot, is a type of chart that is widely used in data analysis in descriptive statistics.
Box plots use the data's quartiles (or percentiles) and averages to visually depict the distribution of numerical data and skewness.Box plots display a data set's minimum score, first (lower) quartile, median, third (upper), and maximum scores in a five-number summary.The median is the average value from a set of data and is shown by the line that divides the box into two parts.Almost half the scores are greater than or equal to this value and half are less than the median value.Now we know that from the box plot that the median is almost at the Centre , and both the third quartile and first quartiles are almost at equal distance from median, thus we can say that it is almost symmetric and normally distributed.
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165см.+567см.-203см.
Answer:
529 cm
Step-by-step explanation:
Given problem is,
→ 165cm + 567cm - 203cm
Let's solve the problem,
→ (165 + 567) - 203
→ 732 - 203
→ 529 cm
Hence, solution is 529 cm.
Explanation/Answer:
Use long addition and long subtraction to solve
→ [tex]165 + 567\\5 + 7 = [1]2\\6 + 6 = 1+2 = 3\\1 + 5 = 6 + 1 = 7\\700 + 30 + 2 = \bold{732}[/tex]
→ [tex]732 - 203\\3 - 12 = 9(Because~of~borrowing)\\2 - 0 = 2(Borrowed~1~for~3-2)\\7 - 2 = 5\\500 + 20 + 9 = \bold{529}[/tex]
Thus,
your answer is 529 cm.
PLEASE HELP BEEN STUCK ON THIS FORVER! AND ITS DUE SOON! WILL GET 100 POINTS FOR HELPING CORRECTLY!
FIND THE 100TH LINE SEGMENT
CUBE #1 HAS 4 LINES
CUBE #2 HAS 12
CUBE #3 HAS 24
WHATS THE 100TH LINE SEGMENT USING NTH TERM.
PICTURE BELOW!
Answer:
a 48 x 48 unit cube
Step-by-step explanation:
a 1x 1 has 4-line segments
a 2 x 2 has 6-line segments
a 3 x 3 has 8-line segments
we see a pattern here
3 * 2 + 2= 8
2 * 2+ 2+= 6
1 * 2 + 2= 4
so 48 * 2 + 2= 100
The length of a rectangular deck is five times its width if the decks perimeter is 24 feet what is the decks area
The area of the rectangular deck is 20 ft²
How to find the area of a rectangle?The length of a rectangular deck is five times its width.
Therefore,
l = 5w
perimeter of the rectangular deck = 2(l + w)
where
l = lengthw = widthTherefore,
24 = 2(5w + w)
24 = 2 × 6w
12w = 24
divide both sides by 12
w = 24 / 12
w = 2
Therefore,
area of the rectangular deck = lw
area of the rectangular deck = 2 × 10
area of the rectangular deck = 20 ft²
Therefore, the area of the rectangular deck is 20 ft²
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If an increase in the price of blue jeans leads to an increase in the demand for tennis shoes, then blue jeans and tennis shoes are
a. substitutes.
b. complements.
c. normal goods.
d. inferior goods.
e none of the above
If an increase in the price of blue jeans leads to an increase in the demand for tennis shoes, then blue jeans and tennis shoes are substitutes.
What is Equation?Two or more expressions with an Equal sign is called as Equation.
The statement "If an increase in the price of blue jeans leads to an increase in the demand for tennis shoes"
Substitutes are two goods that can be used in place of each other for a similar purpose.
In this case, if the price of blue jeans increases, consumers may switch to buying more tennis shoes instead, since they serve a similar purpose in terms of clothing.
Complements are two goods that are used together, such as peanut butter and jelly.
Normal goods are goods whose demand increases as income increases, while inferior goods are goods whose demand decreases as income increases.
Hence, If an increase in the price of blue jeans leads to an increase in the demand for tennis shoes, then blue jeans and tennis shoes are substitutes.
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4x + 8 = 10 ^ 1 the solution to the equation is x
Answer:
x=1/2
Step-by-step explanation:
Hope this helps
Sorry if I'm wrong
What is the approximate value of √77, to the nearest whole number?
CAN YOU ANSWER NUMBER 30? THANK YOU
Answer:
the slope is -5/2 and the y-intercept is (0,-3)
Step-by-step explanation:
Answer:
y = -5/2x - 3
Step-by-step explanation:
First you distribute, -5/2 or -2.5 (x +4)
Which results in y - 7 = -2.5x + -10
and then add +7 to both sides
y = -2.5x + (-3 )
Turn x into a fraction and:
y = -5/2x - 3 The last answer choice
i t h i n k
What is the direction and strength of the association between the variables?
weak negative
weak positive
strong positive
strong negative
The required solution from the graph that variable X and Y have a strong negative association.
What is correlation?Correlation is a statistical measure that expresses the extent to which two variables are linearly related. Correlation or dependence is any statistical relationship, whether causal or not, between two random variables or bivariate data.
Given:
The given graph attached below .The graph is between variable x and variable y.
According to given question we have
The graph slopes downwards as variable X increases, hence we have a negative relationship between X and Y.
The graph shows strong negative because we see a correlation of downwards sloping.
The trend produced by the graph is straight forward with points close to one another, hence forming a well - defined pattern. These depicts a Strong association between the variable.
Therefore, the required solution from the graph that variable X and Y have a strong negative association.
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What expression is equivalent to 5^0 • 5^3 A: 0. B:1. C:5^3. D:1/5^3
The equation: s=p2−p2 gives the number of handshakes, s, that would take place when p people gather in a room and every person in the room shakes the hand of every other person exactly once. A) There are 12 people in the room, how many unique handshakes will there be? Answer: There will be unique handshakes. B) If there are 120 unique handshakes in the room, how many people are there? Answer: There are people in the room.
serian
respuesta 9 .5 por 56. 5678902
sin²A+sin²A.tan²A=tan²A
Greetings from Brasil...
Putting SIN² A in evidence
SIN² A(1 + TG² A) = TG² A
1 + TG² A = SEC² A
SIN² A(SEC² A) = TG² A
SIN² A/COS² A = TG² A
TG² A = TG² A
The Gomez family has 3 dogs and 2 birds. What fraction of the pets are birds?
Answer:
2/5
Step-by-step explanation:
if there’s 5 pets and 2 of them are birds 2/5 of them are birds
A house cleaner vacuums a house every fourth day and takes out the trash
every seventh day. The cleaner just vacuumed and took out the trash today.
In how many days will both tasks be done on the same day again?