We need to know about distance between two points to solve the problem. The distance between each pair of points are: 13. 8, 14. 6.40, 15. 5, 16. 5.83 , 17. 7 , 18. 7
The distance between two points is the length of the line that will join these two points. The distance can be calculated by taking the square of the difference of the x-coordinates and y-coordinates of the two points, adding them up and taking their square root. In order to understand the formula we have to draw a right angled triangle using these two points, where the line joining the points is the hypotenuse, the difference in the x-coordinates is the base and the difference between the y-coordinates is the height. We use Pythagoras' theorem to find the hypotenuse which gives us the formula of distance between two points
d=[tex]\sqrt{(x-a)^{2} +(y-b)^{2} }[/tex] where (x,y) and (a,b) are the two points
13. (-3,-1) (5,-1)
d=[tex]\sqrt{(-3-5)^{2}+(-1+1)^{2} } =\sqrt{64} =8[/tex]
14. (-4,-3), (1, 1)
d=[tex]\sqrt{(-4-1)^{2}+(-3-1)^{2} } =\sqrt{25+16} =\sqrt{41} =6.40[/tex]
15.(0, 0), (3, 4)
d=[tex]\sqrt{(0-3)^{2}+(0-4)^{2} } =\sqrt{9+16} =\sqrt{25} =5[/tex]
16. (-1,2) ,(2,-3)
d=[tex]\sqrt{(-1-2)^{2}+(2+3)^{2} } =\sqrt{9+25} =\sqrt{34} =5.83[/tex]
17.(-2,0) , (5,0)
d=[tex]\sqrt{(-2-5)^{2}+(0-0)^{2} } =\sqrt{49} =7[/tex]
18.(0,-8), (0,-1)
d=[tex]\sqrt{(0-0)^{2}+(-8+1)^{2} } =\sqrt{49} =7[/tex]
Therefore we found the distance between each pair of points using the formula to find distance between two points, 13) 8, (14) 6.40, (15) 5, (16) 5.83, (17) 7, (18) 7
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a car averages 35 miles per gallon of gasoline. how many liters of gasoline will be needed for a trip of 450 km? some conversion factors which may be helpful are the following:
As a result, 3.0 x 10¹ litter of gasoline will be used for a 450-kilometer trip.
The correct option is B.
What is conversion factor?In fact, a conversion factor is a number that is utilized to multiply as well as divide one set of units by another.. When converting to an equivalent value, the appropriate conversion factor must be utilized. To convert inches into feet, for example, the suitable conversion value becomes 12 inches equal to 1 foot.
What exactly does unit conversion imply?Unit conversion is indeed a multi-step procedure that includes multiplying or dividing by a numerical factor, determining the appropriate number of important digits, and rounding.
According to the given data:The car gets 35 miles for each gallon of gas.
We need to calculate how many liters of petrol will be required for a 450-kilometer trip.
first converting km into miles:
1 km =0.621371 miles.
So,
450 km = 450 x 0.621371
= 279.61 miles.
Now we know that :
One gallon of gasoline will get you 35 miles.
So for 279.61 miles.
Let x be the number of liters of gasoline required to travel the distance.
So
x = 279.61 / 35
x = 7.98 gallons
Now in litters:
1 gallon = 3.78541litters
So,
7.98 * 3.7854 = 30.24
= 3.0 x 10¹ litter
As a result, 3.0 x 10¹ litter of petrol will be used for a 450-kilometer trip.
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I understand that the question you are looking for is:
A car averages 35 miles per gallon of gasoline. How many liters of gasoline will be needed for a trip of 450 kilometers? Some conversion factors, which may be helpful are the following:
1 qt = 0.946 L.
1 mile = 0.621371 km.
1000 m = 1 km.
4 qt = 1 gallon.
1 ft = 12 inches.
a. 2.5 x 10¹ L
b. 3.0 x 10¹ L
c. 3.5 x 10¹ L
d. 4.0 x 10¹ L
e. 4.5 x 10¹ L
Convert the fraction or mixed number to a percent.
6 3/5
Answer:
660%
Step-by-step explanation:
6 x 100= 600%
3/5 = 0.6 × 100 = 60%
600% + 60% = 660%
Keith wants to rent a boat and spend less than $69. The boat costs $7 per hour, and Keith has a discount coupon for $8 off. What are the possible numbers of hours Keith could rent the boat?
Use t for the number of hours.
Write your answer as an inequality solved for t.
Answer:
8 hours
Step-by-step explanation:
69 = 7t -8
61 = 7t
t = 8.71428571
If the point (2,5) is on the graph of an equation,which statement must be true
Answer:
The correct answer is B)
Step-by-step explanation:
The values x = 2 and y = 5 make the equation true.
the reason for this is because ordered pairs are in the form (x,y), meaning for the point (2,5), the number 2 is an x-value and the number 5 is a y-value. so when you put these numbers into the equation, you should get a true statement both sides are equal to one another.
Answer:
Step-by-step explanation: the correct answer is B) x=2 and y=5 make the equation true.
If a 20-foot tree casts a 35-foot shadow, how tall is a tree that casts a 63-foot shadow
Answer:
T=48
Step-by-step explanation:
Now since I don’t know the height at the present moment, I’ll just make this ratio (of the tree) be represented as x/36. Which is saying that for every ‘x’ amount of feet, there will be 36 feet of shadow.
so we have 4/3=x/36. If I cross multiply 36 and 4, then divide the product by 3, then ‘x’ will be 48.
Type the correct answer in the box. Use numerals instead of words. If necessary, use / for the fraction bar. Royston is driving to a popular amusement park with his family. Royston’s car had 1515 gallons of gas at the start of the trip. During the trip, he stopped at a gas station and refueled the car with 535 gallons. If the car consumed 1745 gallons of gas during the trip, there are still gallons of gas remaining in the tank. 100 points
Answer: 3 gallons of gas left
Step-by-step explanation: since the car started out with 15 1/5 and then fills up 5 3/5 now there is 20 4/5 in the car then since the car consumed 17 4/5 just subtract the 17 4/5 from 20 4/5 and then you get 3 gallons left since 17 - 20 = 3 and 4/5 - 4/5 = 0/0 or 0 the answer is just 3 gallons left
Answer: it is 3 gallons
Step-by-step explanation:
-18 ≤26-8<-8
How do I solve?
I don't think you can solve this, considering the given expression is false. However consult a tutor perhaps and see if they can help you further.
I'm very confused about this, please explain this to me.
The angles of the given triangle are 136°,24°, and 20°.
Given that a triangle has angles as 4y°,(y-10)°, and 20° and asked to find out the angles of the given triangle
The sum of the angles of the triangle =180°
⇒4y°+(y-10)° + 20°=180° { adding the given angles and equating it to 180° as the sum of the angles in the triangle is 180°}
⇒5y+10=180°.{added all the given angles and equated it to 180°}
⇒5y=170°
⇒y=34°
⇒4y=136°, (y-10)°=24° and 20°
Therefore the angles of the given triangle are 136°,24°, and 20°.
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Find the distance between each pair of points.
(0,-5) and (18,-10)
Answer:
18.7 units (3 s.f.)
Step-by-step explanation:
The distance between two points is given by the formula below, where [tex](x_1, y_1)[/tex] is the first coordinate and [tex](x_2, y_2)[/tex] is the second coordinate.
[tex]\boxed{{\text{Distance between 2 points}= \sqrt{(y_1 - y_2)^{2} + (x_1 - x_2)^{2} } }}[/tex]
Substitute the given points into the formula:
Distance between (0, -5) and (18, -10)
= [tex]\sqrt{[-10 -(-5)]^{2} + (18-0)^{2} }[/tex]
= [tex]\sqrt{(-10+5)^2+18^2}[/tex]
= [tex]\sqrt{(-5)^2+18^2}[/tex]
= [tex]\sqrt{349}[/tex]
= 18.7 units (3 s.f.)
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One painting shows 520 different types of ladybug. another painting shows 750 different types. how many times as great is the value of the digit 5 in 520 than the value of the digit 5 in 750. how do you know?
Answer:
100 times bigger this is simple math
Answer:
Step-by-step explanation:
lf m/1 = 2x + 3, and m/2 = 3x + 7, which is the value of x?
The value of x is -(11/7).
This problem is related to solving an algebraic equation.
In algebra there are many types of equations such as linear equation in one variable and two variable.
Here we have been given two variables and two equations which means we can solve the equation. To solve an equation in algebra it is important that the number of unknowns is equal to the number of equations given.
Given, m/1=2x+3 i.e., m=2x+3
also m/2=3x+7 i.e., m=6x+14
Now equating both the values of m;
2x+3=6x+14
⇒6x-2x=3-14
⇒4x=-11
∴ x= -(11/4)
Hence, the value of x is -11/4.
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1. BC
[-1 2] [2 3 5]
[6 0] * [0 4 -1]
Step-by-step explanation:
⎡02413524−6⎦⎥⎥⎤ and B=⎣⎢⎢⎡−10021030−1⎦⎥⎥⎤
∴4A=⎣⎢⎢⎡081641220816−24⎦⎥⎥⎤ and 6B=⎣⎢⎢⎡−600126080−6⎦⎥⎥⎤
⇒4A−6B=⎣⎢⎢⎡0−(−6)8−016−04
A new Community Sports Complex is being built in Del Rio. The perimeter of the rectangular playing field is 528 yards. The length of the field is 6 yards less than quadruple the width. What are the dimensions of
the playing field?
The width is yards.
The length is yards.
Save
The dimensions of the playing field the width is 54 yards and the length is 210 yards.
Given that the perimeter of the rectangular playing field is 528 yards and the length of the field is 6 yards less than quadruple the width.
Let the width of the rectangular playing field is x yards and it is given that the length of the field is 6 yards less than quadruple the width means the length is 4x-6.
As we know that the perimeter of the rectangle is two times the sum of length and breadth so.
P=2(l+w)
As it is given that the perimeter is 528 yards.
So, we will substitute all the values in the formula, we get
528=2(4x-6+x)
528=2(5x-6)
528=10x-12
528+12=10x-12+12
540=10x
540/10=10x/10
54=x
Now, substitute this values in l=4x-6 to find the length, we get
l=4(54)-6
l=216-6
l=210
Hence, the dimension of the playing field when the perimeter of the rectangular playing field is 528 yards is width is 54 yards and length is 210 yards.
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A month is chosen at random,
then a standard die is rolled.
What is the probability of getting
February, then a number less
than 5?
The probability of getting February, then a number less than 5 is:
P = 1/18
How to find the probability?First, we need to find the two individual probabilities:
We have a total of 12 months, and we assume that the probability for each of these is the same one, then the probability of getting February will be:
p = 1/12.
Now, the standard die has 6 sides, the numbers that are less than 5 are:
{1, 2, 3, 4}
So 4 out of the 6 outcomes are less than 5, then the probability here is:
q = 4/6 = 2/3.
Then the joint probability is:
P = p*q = (1/12)*(2/3) = 2/36 = 1/18
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You roll a die ten times and get a six four of those times What is the experimental probability of rolling a six?
Answer:
So if you roll the die ten times, that means every time you roll it, it is 10%, with that knowledge, if you rolled 6, four times, that means the experimental probability is 40% to get 6.
Awnser for me quickly pleaseee
Answer:
137 ≤ 15x +
Step-by-step explanation:
What type of question is this?
Lilly needs to ship 16 yo-yos, 24 teddy bears, and 8 tops. She can pack only one type of toy in each box, and he must pack the same number of toys in each box. What is the greatest number of toys Lilly can pack in each box?
Group of answer choices
-GCF
-LCM
The type of question is GCF .
What is the greatest number of toys she can pack?The factor of a number is a number that can divide another number perfectly without leaving any remainder. Highest common factor is the highest factor that is common to two or more numbers
Factors of 8, 16 and 24 = 1, 2, 4, 8,
Highest common factor = 8
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On Friday nights, you enjoy staying at home and doing complex math problems. In 45 minutes, you can solve 9 math problems. How many problems can you solve in 210 minutes?
Answer:
42
Step-by-step explanation:
45 divided by 5 is 9.
210 divided by 5 is 42.
Hope It Helps
Sorry If I'm Wrong
pete seria also offers pizza pies with a choice of any of 4 toppings: pepperoni, mushrooms, green peppers, or sausage. how many different pizzas can you make with anywhere from 0 to 4 toppings (assume each pizza can have at most 1 serving of each topping, e.g. no "double pepperoni" on the pizza)?
There are 256 different pizzas can you make with anywhere from 0 to 4 toppings.
Combinations:
Combinations defines the number of possible arrangements in a collection of items where the order of the selection does not matter.
Given,
Pizza pies with a choice of any of 4 toppings: pepperoni, mushrooms, green peppers, or sausage.
Here we need to find how many different pizzas can you make with anywhere from 0 to 4 toppings.
Here we need to assume that each pizza can have at most 1 serving of each topping.
Here we have four level of toppings like no serving, single serving, double serving and triple serving.
Suppose you had one topping, let's say mushrooms. How many different possible pizzas would there be?
If you understand the setup right, there would be 4: no topping, single mushrooms, double mushrooms, or triple mushrooms.
Similarly, imagine that there are two toppings, mushrooms and sausage.
Then, there are 4 x 4 = 16 different combinations with two items.
We could continue this for a long time.
If you have only sausage, mushroom, pepperoni and onion, then for a total of
=> 4 x 4 x 4 x 4 = 256 combinations.
Therefore, there are 256 different pizzas can you make with anywhere from 0 to 4 toppings.
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the life insurance policies of an insurance company are classified by the following:
•Age of Insured:
•Under 25 years,
•Between 25 and 50 years,
•over 50 years old;
•Sex;
•Marital status:
•Single or Married
What is the total number of classications?
Answer:
120
Step-by-step explanation:
in a certain country, the true probability of a baby being a girl is 0.473 . among the next seven randomly selected births in the country, what is the probability that at least one of them is a boy ?
The probability that at least one of them is a boy is 0.9947
How to solve for the probability that at least one is a boyThe probability = (1 - P) none of these 7 is a boy
= 1 - P (all girls)
1 - 0.473^7
1 - 0.00529697
= 0.9947
Hence in a certain country, the true probability of a baby being a girl is 0.473 . among the next seven randomly selected births in the country, the probability that at least one of them is a boy is 0.9947
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there are 9 roses and 7 daisies in a vase. (a) what is the ratio of all flowers in the vase to roses? (b) what is the ratio of all flowers in the vase to daisies?
The ratio of all flowers in the vase to roses is 9:16. The ratio of all flowers in the vase to daisies is 16:7.
What is ratio?An expression known as a ratio in mathematics shows how many times one number is contained in another. In a bowl of fruit, for instance, the proportion of oranges to lemons is eight to six if there are eight oranges and six lemons (that is, 8:6, which is equivalent to the ratio 4:3). In a similar vein, the proportion of oranges to the overall amount of fruit is 8:14, and that of lemons to oranges is 6:8 (or 3:4). (or 4:7).
A ratio can have any number of numbers as its components, including counts of people or things, weights, lengths, and times, among other values. Both numbers are usually limited to positive values in settings.
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What is this and give me the step by step
Answer:
(2/x²y³)
Step-by-step explanation:
(2(x^-2)y)/(y^4)
x^-2 can also be written as (1/x²)
(2(1/x²)y)/(y^4)
(2/x²)(y)/(y^4)
(2y/x²)/(y^4)
this can also be written as (2y/x²) × (1/y^4)
= 2y/(x² × y^4)
WHEN THE SAME VARIABLE IS DIVIDED THEIR POWERS ARE SUBTRACTED
= (2/x²y³) (we got y³ by y^1 /y^4 The powers got subtracted)
Halle el resultado de:
pls ayuda necesito hacer esta tarea :c
Usando la propiedad exponencial, hay que el resultado es: 125/64.
¿Cómo aplicar la propiedad exponencial?Con el expoente negativo, hay que:
[tex]\left(\frac{a}{b}\right)^{-x} = \left(\frac{b}{a}\right)^{x}[/tex]
Así, la expresion equivalente es dada por:
[tex]\left(\frac{16}{25}\right)^{-\frac{3}{2}} = \left(\frac{25}{16}\right)^{\frac{3}{2}}[/tex]
Hay que 25 = 5² y 16 = 4², así:
[tex]\left(\frac{25}{16}\right)^{\frac{3}{2}} = \left(\frac{5^2}{4^2}\right)^{\frac{3}{2}} = \left(\frac{5}{4}\right)^3 = \frac{125}{64}[/tex]
Así, hay que el resultado es: 125/64.
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URGENT!! ILL GIVE BRAINLIEST! AND 100 POINTS
Answer:
looking at the screenshot! it can be a or b
Step-by-step explanation:
which point represents the vertex of the marked angle
a. a
b. e
c. c
d. b
Answer:
Answer choice "b. e"
Step-by-step explanation:
The vertex is the starting point of a line, ray, angle etc...
determine whether each first-order differential equation is separable, linear, both, or neither. choose one 1. choose one 2. choose one 3. choose one 4. note: you only have two attempts at this problem.
The first-order differential equation is non-separable and non-linear.
[tex]\frac{dx}{dy} +e^{x} y=x^{2} y^{2}[/tex]
[tex]\frac{1}{y^{2} } \frac{dx}{dy} +e^{x} \frac{1}{y} =x^{2}[/tex]
[tex]\frac{dt}{dx} -e^{x} t = -x^{2}[/tex]
Since, x and y terms separated also linear equation
linear and separable both
[tex]\frac{dy}{dx} = cos y = tan x[/tex]
non-linear and non-separable
What distinguishes a linear equation from a non-linear equation?
Something that is linear is related to a line. A line is built using all of the linear equations. A non-linear equation is one that cannot be represented by a straight line. It has a changeable slope value and resembles a graphed curve.
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need some help could someone explain this for me please?
Step-by-step explanation:
it all starts with having a good definition for a
a = 3x + 6
for the definition of b we need to transform the second equation
x = 1/3 b - 2 = b/3 - 2
3x = b - 6
3x + 6 = b
remember, if a = c and b = c, then it must be a = b.
that is the whole principle here. the symmetric property.
I am not sure what you must do here. so you select on the left the number of the step in the proof ?
if so, then
statement reason : number 1
a = 3x + 6 and 3x = b - 6 division : number 2
a = 3x + 6 and -b = -3x - 6 subtraction : number 3
a = 3x + 6 and b = 3x + 6 division : number 4
a = b = 3x + 6 symmetric : number 5
always remember, every change needed on one side of an equation we need to do on both sides, otherwise the equation is destroyed.
number 2 is "division" as division is a form of multiplication (and multiplication a form of division). we are multiplying by 3.
number 3 subtracts b and also 3x.
number 4 divides by -1.
and number 5 is the fished proof as mentioned above.
El colegio compró 234 libros a €14 cada uno cuánto costaron en total
The total cost of the books will be €3276.
How to calculate the cost?It should be noted the school bought 234 books at €14 each.
Therefore, the total cost of the books will be:
= Price × Total books
= €14 × 234
= €3276
Therefore, the total cost of the books will be €3276.
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in a large population, 54 % of the people have been vaccinated. if 4 people are randomly selected, what is the probability that at least one of them has been vaccinated?
The probability that at least one of them has been vaccinated is 0.9552
Probability:
Probability defines the possible occurrence of any particular required event.
Given,
Here we need to find in a large population, 54 % of the people have been vaccinated. if 4 people are randomly selected, what is the probability that at least one of them has been vaccinated.
Here we have to know that,
The situation where at least one out of 4 are vaccinated includes all but one possibility, that which none of the 4 are vaccinated.
The sum of all probabilities must equal 1.
Let Q be probability none of the 4 are vaccinated.
Let P be probability that at least 1 is vaccinated.
Then the probability is calculated as,
P = 1 - Q
Now if 54% are vaccinated, then 46% are not vaccinated.
Thus any given person has a probability of 0.46 of not being vaccinated.
=> Q = (0.46)⁴
=> Q = 0.0448
Then apply the value to the formula,
=> P = 1 - 0.0448
=> P = 0.9552
Therefore, the probability that at least one of them has been vaccinated 0.9552.
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