Explanation:
Points are locations in space or on a 2D flat plane. Think of an address to a house or perhaps longitude/latitude coordinates. Such locations do not have any width, length or height. There are no dimensions a point. Points are infinitely small. The only reason they appear to have a size is because otherwise we wouldn't be able to see the point locations.
This is why choices A B and D can be ruled out. Only choice C is true.
Three trolley tours leave from the same stop at 9:00 am. Tour A returns to the stop every 75 minutes, Tour B returns every 60 minutes, and Tour C returns every 40 minutes. In how many hours will all three tours return to the stop at the same time?
Given :
Three trolley tours leave from the same stop at 9:00 am.
Tour A returns to the stop every 75 minutes, Tour B returns every 60 minutes, and Tour C returns every 40 minutes.
To Find :
In how many hours will all three tours return to the stop at the same time.
Solution :
We know, they will return to the stop at the same time is the L.C.M of three i.e 75, 60 and 40 minutes.
So, their L.C.M is :
L.C.M = 600 minutes.
Now, 600 minutes = 600÷60 hours = 10 hours.
Therefore, they will all meet at stop in 10 hours.
Hence, this is the required solution.
The formula K = C + 273.15 converts temperatures from degrees Celsius C to Kelvin K.
A. Convert 200 degrees Celsius to Kelvin.
B. Solve the formula for C.
C. Convert 300 Kelvin to degrees Celsius.
Answer:
A. 473.15 B. C= K-273.15 C. 26.85 degrees Celsius
Step-by-step explanation:
Answer: A
Step-by-step explanation:
did it on edge
Which is the approximate measure of angle yzx? 34.8° 39.4° 50.6° 55.2°
The approximate measure of angle YZX is 39.4°. Option(B) is the correct answer.
we know that
In the right triangle XYZ
\(tan(Y Z X)= \frac{opposite side angle YZX}{adjacent side angle YZX}\)
In this problem,
Opposite side angle YZX= XY = 12.4cm
Adjacent side angle YZX= YZ = 15.1cm
substitute the values,
\(tan ( Y Z X) = \frac{12.4}{15.1}\)
\(Angle ( Y Z X) = arc tan( \frac{12.4}{15.1} )\)
Angle ( Y Z X) = 39.4°
So, the approximate measure of angle YZX is 39.4°.
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The complete question is:
In right triangle XYZ, the right angle is located at vertex Y. The length of line segment XY is 12.4 cm. The length of line segment YZ is 15.1 cm. Which is the approximate measure of angle YZX?
A .34.8°
B .39.4°
C .50.6°
D. 55.2°
An Hispanic-Indian American billionaire wants to fund education programs in two states with counties where the population contains over 50 percent of each of her ethnic identities. Which pair of states contains at least one county in which Hispanic Americans comprise over 50 percent of its population and at least one other county in which American Indians comprise over 50 percent of its population
The two states are Arizona and New Mexico.
DemographicsArizona and New Mexico are two states with unique demographics that differ from the rest of the United States.
Thus, these states are characterized by a high Latino population and, in addition, a high percentage of native population. This, due to its proximity to the border with Mexico.
Thus, Arizona has counties like Apache County, where 70% of its population is native; and like Yuma County, where 51% of its population is Hispanic.
In turn, New Mexico has counties like McKinley County, where 75% of its population is native; and as Hidalgo County, where 55% of its population is Hispanic.
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solve -4x – 8y = -48
8x + 3y = -34.
Answer:
x= -1/2 and -32
y = -10
Step-by-step explanation:
1) 2(-4x-8y)= (-48)2
8x+3y =-34
*to create a way to cancel out the x*
2) -8x-16y= -96
8x+3y= -34
*add them
-8x +8x =0
-16y + 3y = -13y
-96+ -34= -130
3) -13y =-130
isolate y
4) y = -10
*plug in* to find x into both original equations*
5) 8x + 3(-10) = -34. -4x-8(-10)= -48
*follow order of operations to solve for x
6) 8x -30 =-34. -4x +80 = -48
7) 8x =-4. -4x =128
8) x= -1/2. x = -32
Six plus -2 times a number is the same as 26 plus six times the same number.
Step-by-step explanation:
let the number be x
and according to question,
six + 2 times a number = 2x + 6
26 + 6 times a number = 6x + 26
→ 2x + 6 = 6x + 26
→ -6x + 2x = 26 - 6
→ -4x = 20
→ x = 20/4 = 5
→ x = 5
therefore, the number is 5.
hope this answer helps you dear...take care and may u have a great day ahead!
~Hi ~ me ~ again ~ sorry ~ can ~ you ~ please ~ help ~ me ~ out ~ once ~ more?~
Answer:
b 19
Step-by-step explanation:
Answer:
the answer is 19, B.
Step-by-step explanation:
this is my first time answering a question. i hope this helps you.
How would I solve this question? I need to solve for s.
Answer:
4
Step-by-step explanation:
2r = 5s/2 - s/4 ⇒ bring to common denominator2r = 10s/4 - s/42r = 9s/49s = 8r ⇒ multiply both sides by 4s = 8r/9 ⇒ divide both sides by 9s = 8/9*9/2 ⇒ replace r with 9/2, simplifys = 4 ⇒ answerPLZ ASAP help meee I need u nowww
Answer:
£ 14168solution,
Price of car=£15400
After reduction:
\(15400 - 15400 \times \frac{8}{100} \\ = 15400 - 1232 \\ = 14168\)
hope this helps...
Good luck on your assignment....
The next train will arrive in 32 minutes and 30 seconds.
In how many seconds will the next train arrive?
Answer:
1950 seconds
Step-by-step explanation:
if sixty seconds are in a minute, then you just multiply 32, the number of minutes by the number of seconds in a minute and add 30.
Pls answer these questions with clear answers. Thank u❤️
1) 88
2) 4, 680
3) 38.69
4) 12
5) 1,920
Hope this helps, these are 100% the anwers! ᕕ( ᐛ )ᕗ
Please help me
A chord of 48cm is 7cm from the center of a circle.
calculate the area of the circle.
Answer:
Draw a picture and you'll see a right triangle with sides = 7 and 24 and hypotenuse = r (the cricle's radius). By the Pythagorean Theorem:
r2 = 72 + 242
Area = pi·r2
Step-by-step explanation:
Draw a scale diagram of 15 mm scale factor of 8
pleaseee help
do u want us to draw it 4 u ? cuz I can
17. [Tangent Planes] Let f(x, y)=-x y^{2}+x^{3}-7 y-4 . Find the equation for the tangent plane of f where (x, y)=(2,-3)
we can calculate the partial derivatives with respect to x and y, evaluate them at the given point, and use them to form the equation of the tangent plane. The equation for the tangent plane is z = -12x - 28y - 79.
To determine the equation for the tangent plane at the point (2, -3), we need to find the partial derivatives of f(x, y) with respect to x and y.
The partial derivative with respect to x, denoted as ∂f/∂x, can be obtained by differentiating f(x, y) with respect to x while treating y as a constant. ∂f/∂x = -y^2 + 3x^2.
The partial derivative with respect to y, denoted as ∂f/∂y, can be obtained by differentiating f(x, y) with respect to y while treating x as a constant. ∂f/∂y = -2xy - 7.
Next, we evaluate the partial derivatives at the given point (2, -3):
∂f/∂x = -(9) + 12 = 3,
∂f/∂y = -2(2)(-3) - 7 = 1.
Using these values, we can form the equation for the tangent plane:
z = f(2, -3) + ∂f/∂x(x - 2) + ∂f/∂y(y - (-3)),
z = (-2(-3)^2 + 2^3 - 7(-3) - 4) + 3(x - 2) + 1(y + 3),
z = -12x - 28y - 79.
Therefore, the equation for the tangent plane of f at the point (2, -3) is z = -12x - 28y - 79.
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Pedro is ordering a scoop of ice cream. For the flavor, he is given the option of chocolate,
strawberry, or vanilla. For the size, he is given the option of small, medium, or large. For the
cone, he is given the option of a sugar cone, waffle cone, or cup. How many possible order
combinations are there?
Answer:
Hope this helps :D
The answer is 27(If i`m not mistaken)
Answer:
27 combinationsStep-by-step explanation:
There are options:
Flavor = 3Size = 3Cone = 3Number of possible combinations:
3*3*3 = 271
What is the value of x in the equation 1/3 x - 2/3 = -18?
2
X-
-
-56
-52
52
56
Answer:
X = -52
Step-by-step explanation:
1/3x - 2/3 = - 18
1/3x = - 18 + 2/3
x = (52/3) / (1/3)
x = -52
How can you determine if a graph is proportional?
Please help me it’s due today
Answer:
slope:(-0.5) y-intercept:0 equation:(-0.5x)
Step-by-step explanation:
To find slope, you use the formula y2-y1/x2-x1
For example, I used the first 2 sets of coordinates used in the table
(-2,1)&(-1,0.5)
First Part: 0.5-1= -0.5
Second part: -1-(-2)=1
Third Part: -0.5/1=(-0.5)
Y-intercept: In order to find the y-intercept, x needs to be 0.
Y-intercept=0
Equation:
The form for the equation should be, mx+b
B=Y-intercept
M=Slope
X=variable
The slope is -0.5 and you add the x after -0.5
Since the y-intercept is 0, it doesn't have a value so putting 0 at the end would be unnecessary. Slope:-0.5x
3 cards are chosen at random from a standard 52-card deck. What is the probability that they form a pair
The probability of drawing a pair when selecting three cards at random from a standard 52-card deck is approximately 0.1694, or about 16.94%.
To calculate the probability of drawing a pair of cards from a standard 52-card deck when selecting three cards at random, we need to consider the number of favorable outcomes (pairs) and the total number of possible outcomes.
First, let's determine the number of favorable outcomes. For a pair, we need two cards of the same rank (e.g., two 7s, two Queens, etc.) and any third card that is different from the pair.
The number of ways to choose a rank for the pair is 13 (one for each rank). For each rank, there are four cards of that rank in the deck. Therefore, the number of ways to select two cards of the same rank is given by:
Number of ways to choose a pair = 13 * (4 choose 2) = 13 * 6 = 78
After selecting the pair, there are 50 cards remaining in the deck. The third card must be of a different rank from the pair. There are 48 cards remaining with different ranks from the pair.
Therefore, the number of favorable outcomes (pairs) is 78 * 48 = 3,744.
Next, let's calculate the total number of possible outcomes when selecting three cards from a standard deck. The total number of ways to choose any three cards from 52 cards is given by:
Total number of possible outcomes = (52 choose 3) = 22,100
Finally, we can calculate the probability of drawing a pair:
Probability of drawing a pair = Number of favorable outcomes / Total number of possible outcomes
= 3,744 / 22,100
≈ 0.1694
Therefore, the probability of drawing a pair when selecting three cards at random from a standard 52-card deck is approximately 0.1694, or about 16.94%.
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Let A={(x-3)/(x-2)ЄR : X<0}
be a subset of real numbers.
i) Define A's supremum and infimum.
The supremum of the set A does not exist (it is negative infinity), and the infimum of the set A is 1.
To define the supremum and infimum of the set A, we first need to determine the properties of the set.
The set A is defined as A = {(x-3)/(x-2) ∈ R : x < 0}.
To find the supremum (also known as the least upper bound) of A, we need to find the smallest value that is greater than or equal to all the elements of A. In other words, we are looking for the least upper bound of the set A.
Let's analyze the elements of A:
For x < 0, the expression (x-3)/(x-2) can take on different values depending on the value of x. We need to find the maximum value that this expression can reach for all x < 0.
As x approaches 0 from the left side, (x-3)/(x-2) approaches negative infinity. Therefore, there is no finite supremum for the set A.
Next, let's find the infimum (also known as the greatest lower bound) of A. We need to find the largest value that is less than or equal to all the elements of A. In other words, we are looking for the greatest lower bound of the set A.
Again, analyzing the elements of A:
As x approaches negative infinity, (x-3)/(x-2) approaches 1. Therefore, the infimum of the set A is 1.
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PLEASE HELP I NEED IT NOW!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Step-by-step explanation:
what is the problem ? you teacher gave you even the conversion rates in the question.
so, when 1 gallon = 3.79 liters, then how much is 4 gallons ?
4 gallons is 4 times 1 gallon. so, of course, we need to apply the same factor to the other side too.
4 gallons = 4×3.79 = 15.16 ≈ 15 liters
and e do the same for all the other table elements :
8 liters = 8×0.26 = 2.08 ≈ 2 gallons
12.5 liters = 12.5×0.26 = 3.25 ≈ 3 gallons
6 gallons = 6×3.79 = 22.74 liters ≈ 23 liters
What is the shape of the cross section taken parallel to the base of a cylinder?
Rectangle is the shape of the cross section taken parallel to the base of a cylinder.
What is called rectangle?
A Rectangle is a four sided-polygon, having all the internal angles equal to 90 degrees. The two sides at each corner or vertex, meet at right angles. The opposite sides of the rectangle are equal in length which makes it different from a square.Its surface formed by the points at a fixed distance from a given line segment, which is known as the axis of the cylinder.As the bases of cylinder are two identical circles which are perpendicular to the curved surface.The curved surface when we open will be rectangle.Therefore, a rectangle is the shape of the cross section taken perpendicular to the base of a cylinder.Learn more about rectangle
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If each interior angle of a regular octagon measures (7x + 16)°, find the value of x.
x = 17
x = 15
x = 14
x = 16
what is the product of a number and 20 is 75
Answer:
20(x)=75
Step-by-step explanation:
x= unknown number
product= multiplication equation
Matty and his friends ate 4/5 of the 10 pieces of jolly ranchers that they had. Which is a reasonable answer for 4/5 x 10
4/5
8
10
Answer:
the answer is 8
Step-by-step explanation:
first i did 4/5x2=8/5=8/10
Answer:
8.
Step-by-step explanation:
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A furniture store decided to mark up the price of a kitchen table. They decided to increase the price to $84. The original price was $60. What is the percent increase of the kitchen table?
Answer:
40%
Step-by-step explanation:
It would be 40% percent because when you divide 84 by 60 you would get 1.4. The 1 is the price staying the same. The .4 is the precentage. You would get 40% by moving the decimal to the right of the number
If side x has a length of 15 cm and side y has a length of 4 cm, then which value below could be the length of side z?
A.
20 cm
B.
21 cm
C.
17 cm
D.
10 cm
Answer:
Step-by-step explanation:
You should start with 10. The problem with 10 is that if you add 4 to it, the sum is less than 15, so no triangle will form.
A and B won't work either 4 + 15 is 19. A and B are both longer than 19 so no triangle will form.
The answer has to be C. 4 and 15 make 19. That's more than 17 so a triangle will be formed.
A scale measures weight to the nearest 0. 5 lb. Which measurement shows an appropriate level of precision for the scale? A. 140lbs, B. 148. 75lbs, C. 140. 5lbs, D. 141lbs
The appropriate level of precision for the scale depends on the smallest unit of measurement it can accurately determine. In this case, the scale measures weight to the nearest 0.5 lb.
A. 140 lbs. : This measurement is rounded to the nearest whole number and does not account for the scale's precision. It does not show an appropriate level of precision. B. 148.75 lbs.: This measurement includes decimal places that the scale cannot accurately determine. It exceeds the precision of the scale and does not show an appropriate level of precision. C. 140.5 lbs: This measurement falls within the precision of the scale. It accounts for the nearest 0.5 lb increment and shows an appropriate level of precision. D. 141 lbs: This measurement is rounded to the nearest whole number and does not account for the scale's precision. It does not show an appropriate level of precision.
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Consider a situation in which p(x) = and p(y) = . if p(x and y) is = , which best describes the events?
The correct option is (A) P(X) × P(Y) = P(X ∩ Y)
What is probability and example?
Probability = the number of ways of achieving success. the total number of possible outcomes. For example, the probability of flipping a coin and it being heads is ½, because there is 1 way of getting a head and the total number of possible outcomes is 2 (a head or tail). We write P(heads) = ½ .We are given to consider a situation in which X and Y are two events such that
P(X) = 4/5, P(Y) = 1/4, P(X ∩ Y) = 1/5
We are to select the statement that best describes the events X and Y
We know that
any two events A and B are said to be independent if
P(A) × P(B) = P (A ∩ B)
We have, for events X and Y,
P(X) × P(Y) = 4/5 × 1/4 = 1/5 = P (X ∩ Y)
P(X) × P(Y) = P(X ∩ Y)
Thus, X and Y are independent because P(X) × P(Y) = P(X ∩ Y)
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The complete question is -
Consider a situation in which P(X) = 4/5 and P(Y) = 1/4. If P(X and Y) is = 1/5, which best describes the events?
They are independent because P(X) x P(Y) = P(X and Y).
They are independent because P(X) + P(Y) = P(X and Y).
They are dependent because P(X) x P(Y) = P(X and Y).
They are dependent because P(X) + P(Y) = P(X and Y).
Answer: a
Step-by-step explanation:
just took the test
i have no clue how to do this someone pls help me
Using proportions, it is found that:
a) The graph for the distance-time journey is given at the end of the answer.
b) The average speed for the whole journey was of 25 miles per hour.
What is a proportion?A proportion is a fraction of a total amount, and equations can be built to find the desired measures in the problem using basic arithmetic operations such as multiplication or division from the rates of the variables.
Proportions are applied to find the relation between velocity, distance and time, as velocity is distance divided by time, that is:
v = d/t.
Then, applying cross multiplication, the distance is given by:
d = vt.
On the first interval of his trip, for the first 15 minutes = 1/4 of an hour, he traveled at a velocity of 40 mph, hence the distance is:
d = 40 x 1/4 = 10 miles.
During the second interval, of 25 minutes, from 15 minutes to 40 minutes, he stopped, hence his distance remained constant at 10 miles.
During the third interval, of 20 minutes = 1/3 of an hour, Tim completed the journey at a velocity of 45 mph, hence the complete distance is given by:
d = 10 + 45 x 1/3 = 10 + 15 = 25 miles.
The graph with these three intervals is given at the end of the answer.
He drove a distance of 25 miles in one hour, hence his average speed is given as follows:
v = d/t = 25/1 = 25 miles per hour.
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