By using the formula for the distance between two points we will see that the distance between the two points is √80 is 8.9
How to calculate the distance between the two points (-4,1) and (4,5)?The length of the line connecting two places represents the distance between them. Subtracting the different coordinates will reveal the distance if the two points are on the same horizontal or vertical line.
Learn how to apply the Pythagorean theorem to find the distance between two points using the distance formula. The Pythagorean theorem can be rewritten as d=(((x 2-x 1)2+(y 2-y 1)2) to calculate the separation between any two locations.
The general formula for the distance between two points (a, b) and (c, d) is:
Distance = √[(a-d)²+(b - c)²]
In this case, we have the points (-4,1) and (4,5), replacing that in the above formula we get:
Distance = √[(-4-4)²+(1-5)²]
= √80
=8.9
Therefore the distance between the two points (-4,1) and (4,5) is 8.9
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Hideo Yamata makes a deposit of $2,235. He remembers that the checks he deposited total twice the amount of currency he deposited. How much did he deposit in checks?
Answer:
Total amount deposited in checks is $1490
Step-by-step explanation:
Amount deposited by Yamata = $2235.
The amount of checks is twice the amount of currency deposited. Let the amount of currency deposited be represented by x.
So that,
Amount of checks = 2x, then;
2x + x = 2235
3x = 2235
x = \(\frac{2235}{3}\)
= 745
The amount of currency deposited is $745.
Therefore,
amount deposited in checks = 2 x $745
= 1490
Total amount deposited in checks is $1490.
A family buys 6 airline tickets online. The family buys travel insurance that costs $18 per ticket. The total cost is $1,128. Let x represent the price of one ticket. Then find the price of one ticket.
Answer: $170
Step-by-step explanation:
6x + 18(6) = 1128.
6x + 108 = 1128
6x = 1020
x = 170
The price of one ticket is 170
alice has 24 apples. in how many ways can she share them with becky and chris so that each of the people has at least 2 apples?
Assuming Alice has 2 apples, there are 19 ways to split the rest of the apples with Becky and Chris.
The total number of ways to split 24 apples between the three friends is equal to 19 + 18 + 17 + 16 + 15 + ...……+ 2 + 1 = 20 x ( 19 / 2 ) = 190
Alice can share them with Becky and Chris in a variety of ways, as long as each person has at least 2 apples. For example, Alice could give Becky 8 apples and Chris 16 apples, or she could give Becky 10 apples and Chris 14 apples. As long as each person has at least 2 apples, there are many ways for Alice to share her apples.To split the apples, we employ the Ball-and-urn method, also referred to as "Sticks and Stones" or "Stars and Bars."
Hence there are 19 different ways she can share them with becky and chris so that each of the people has at least 2 apples.
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how to graph x+y=1 & is it linear
Answer:
Step-by-step explanation:
Plot the points x-intercept and intercept on the graph. Join the two points to get the straight line. This is the graph of the linear equation.
A circle has a radius of sqrt 45 units and is centered at (-2.4, -4.8) Write the equation of the circle
Answer:
( x+ 2.4) ^2 + ( y+4.8) ^2 = 45
Step-by-step explanation:
The equation of a circle can be written as
( x-h) ^2 + ( y-k) ^2 = r^2
Where ( h,k) is the center and r is the radius
( x-- 2.4) ^2 + ( y--4.8) ^2 = (sqrt45)^2
( x+ 2.4) ^2 + ( y+4.8) ^2 = 45
Problem 1:
Solve for x: 3x+4=9x+3
A }
B
C-
D) None of the above.
Show work
Answer:
x=1/6
Step-by-step explanation:
3x+4=9x+3
isolate x
1=6x
1/6=x
\(======================================\)
First, let's move all the x's to the left:
3x+4=9x+3
3x-9x+4=3
Now, move 4 to the right:
3x-9x=3-4
Combine Like Terms:
-6x=-1
Divide both sides by -6:
x=\(\displaystyle\frac{1}{6}\)
\(=========================================\)
Notes:Hope everything is clear.Let me know if you have any questions!Always remember: \(\boxed{Knowledge~is~power!}\)Good luck & enjoy your day!Answered by:\(\mathcal{Diamond}\) (\(\boxed{An~Emotional~Helper}\))
Please help i will mark brianliest.
At the candy store, M&Ms and Skittles are sold for $0.25 per ounce. Kevita puts some M&Ms in a bag and then added 8 ounces of Skittles. The total cost for her bag of candy is $7.50.
Kevita and Mary write the equation 0.25(x+8)=7.50 to represent the situation, where x represents the number of ounces of M&Ms.
Kevita says that to solve this equation, you first distribute the 0.25 through the parentheses to get0.25x+2=6.50.
Mary says that to solve this equation, you first divide by 0.5 on both sides to get x+8=30
Do you agree with either Kevita or Mary? Why? Finish solving the problem to find out how many ounces of M&Ms Kevita put in her bag of candy.
Answer:
The answer should be 22 ounch Hence,kevita is write but there should be 7.50 not 6.50 in kevita equation
Which graph represents the given function?
Answer: it’s b
bye don’t have a good day have a great day
Step-by-step explanation:
The smaller triangle was dilated to form the larger triangle. What is the value of x? A smaller triangle has side lengths of 5, 13, 12. A larger triangle has side lengths of x, blank, 18. 6.9 7.5 10 11
Answer:
x = 7.5
Step-by-step explanation:
Dilation is a transformation in which the size of a given figure is either increased or decreased by a scale factor.
Given that the length of sides of the smaller triangle are; 5, 13, 12.
Given also that the length of the dilated triangle are; x, blank, 18.
Comparing the length of the last sides of the two triangles, we have;
(scale factor x 12) + 12
= (\(\frac{1}{2}\) x 12) + 12
= 6 + 12
= 18
Thus the scale factor for the dilation is \(\frac{1}{2}\). So that:
x = (\(\frac{1}{2}\) x 5) + 5
= 2.5 + 5
= 7.5
x = 7.5
And also,
blank = (\(\frac{1}{2}\) x 13) + 13
= 6.5 + 13
blank = 19.5
Therefore, the length of the sides of dilated triangle are: 7.5, 19.5, 18
Answer:
7.5
Step-by-step explanation
CUZ IMMA BIG BRAIN
I need help figuring this out lol. If my laptop is at 100% and 1% is 5 mins how many minuets/hours can i use my laptop for?
Answer:
500 minutes
Step-by-step explanation:
100 x 5
Answer:
500 minutes or 8.33 hours.
Pls help 25 points asap
Answer:
A hemisphere (three-dimensional object) is generated by rotating the two-dimensional figure about the line y=2.
Step-by-step explanation:
The graph shows a figure of semicircle. When it is rotated by its top it will produce a hemisphere of diameter 4 units.
50 POINTS!
Determine which function has the greater rate of change, if either.
A. Function B has a greater rate of change because it's rate of change is 4/3
B. Function A has a greater rate of change because it's rate of change is 4/3
C. Neither function has a greater rate of change because their slopes are both 4/3
EXPLAIN
the slope goes by several names
• average rate of change
• rate of change
• deltaY over deltaX
• Δy over Δx
• rise over run
• gradient
• constant of proportionality
however, is the same cat wearing different costumes.
so let's get two points from each table to get their slope or rate
for function A hmmm (2 , -5) and (6 , -2), and for function B hmmm (-5, -46) and (7 , -30)
\((\stackrel{x_1}{2}~,~\stackrel{y_1}{-5})\qquad (\stackrel{x_2}{6}~,~\stackrel{y_2}{-2}) ~\hfill \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{-2}-\stackrel{y1}{(-5)}}}{\underset{run} {\underset{x_2}{6}-\underset{x_1}{2}}}\implies \cfrac{-2+5}{4}\implies \stackrel{\textit{\Large A}}{\cfrac{3}{4}} \\\\[-0.35em] ~\dotfill\\\\ (\stackrel{x_1}{-5}~,~\stackrel{y_1}{-46})\qquad (\stackrel{x_2}{7}~,~\stackrel{y_2}{-30})\)
\(\stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{-30}-\stackrel{y1}{(-46)}}}{\underset{run} {\underset{x_2}{7}-\underset{x_1}{(-5)}}}\implies \cfrac{-30+46}{7+5}\implies \cfrac{16}{12}\implies \stackrel{\textit{\Large B}}{\cfrac{4}{3}} \\\\[-0.35em] ~\dotfill\\\\ ~\hfill \stackrel{\textit{\Large B}}{\cfrac{4}{3}}~~ > ~~\stackrel{\textit{\Large A}}{\cfrac{3}{4}}~\hfill\)
A guidebook says that one night at a mid-range hotel in Capital City, Republica costs between $25 US and $40 US. The Hotel Capitale in Capital City offers a one-week rental for ___17,780__________ RP (Republica Pounds). The current exchange rate is 1 RP = 0.0147 USD ($US). Does the price per night at the Hotel Capitale suggest that this is a mid-range hotel? Show all supporting calculations. Write an explanation of your conclusion in complete sentences.
The Renault Kaper is a popular brand of car in Republica. It has a fuel capacity (tank size) of 28 liters. It has a fuel efficiency of _14.1______ kilometers per liter. With a full tank of fuel, could a Renault Kaper travel the _339_______ kilometer distance between Capital City and Costa Bay without needing to refill the tank? Show all supporting calculations. Write an explanation of your conclusion in complete sentences.
Based on the price per night at the Hotel Capitale falling within the mid-range mentioned in the guidebook and the Renault Kaper having sufficient fuel capacity to travel the distance between Capital City and Costa Bay, we can infer that the Hotel Capitale is a mid-range hotel and the Renault Kaper can cover the distance without needing to refuel.
Based on the given information, the price per week at the Hotel Capitale is 17,780 RP. To determine the price per night, we need to divide this amount by the number of nights in a week. Since there are 7 nights in a week, the price per night is:
Price per night = 17,780 RP / 7 nights = 2,540 RP
To determine if this price suggests that the Hotel Capitale is a mid-range hotel, we need to convert the price per night from RP to USD using the exchange rate of 1 RP = 0.0147 USD.
Price per night in USD = 2,540 RP * 0.0147 USD/RP = 37.35 USD
Comparing the converted price per night of 37.35 USD to the range mentioned in the guidebook of 25 USD to 40 USD, we can see that the price falls within the specified range. Therefore, based on the price per night, the Hotel Capitale can be considered a mid-range hotel.
Regarding the distance between Capital City and Costa Bay, the Renault Kaper has a fuel capacity of 28 liters and a fuel efficiency of 14.1 kilometers per liter. To determine if the car can travel the distance of 339 kilometers without needing to refill the tank, we divide the total distance by the fuel efficiency:
Fuel required = Distance / Fuel efficiency = 339 km / 14.1 km/L ≈ 24.04 liters
Since the fuel capacity of the Renault Kaper is 28 liters and the calculated fuel required is 24.04 liters, it is evident that the car can indeed travel the distance between Capital City and Costa Bay without needing to refill the tank.
In conclusion, based on the price per night at the Hotel Capitale falling within the mid-range mentioned in the guidebook and the Renault Kaper having sufficient fuel capacity to travel the distance between Capital City and Costa Bay, we can infer that the Hotel Capitale is a mid-range hotel and the Renault Kaper can cover the distance without needing to refuel.
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about 6 out of 10 people entering a college need to take a refresher math course. if there are 2910 entering students, how many will probably need refresher math?
Answer:
1746
Step-by-step explanation:
6/10 x 2910
= 17460/10
=1746
Answer:
1746
Step-by-step explanation:
6/10 x 2910
= 17460/10
=1746
anything that strengthens a response or increases the probability that it will occur is called____________.
Anything that strengthens a response or increases the probability that it will occur is called a "reinforcer". A reinforcer can be anything that the individual finds rewarding or motivating, such as praise, a high five, a tangible reward, or a positive experience.
The use of reinforcers is a common technique in behavior modification and is often used in educational and therapeutic settings. By identifying and providing reinforcers for desired behaviors, individuals can be motivated to continue those behaviors, which in turn increases the probability of success. Reinforcement can also be used to shape new behaviors, by gradually reinforcing steps towards the desired behavior until the full behavior is achieved. In summary, reinforcement is a powerful tool for increasing the probability of desired behaviors and can be used in a variety of settings to improve outcomes.
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Given the function f(x) x^2-2x/x^3 +9x^2-10x Find any holes, vertical asymptotes, and horizontal asymptotes there may be.
Answer:
See below
Step-by-step explanation:
I assume you mean \(f(x)=\frac{x^2-2x}{x^3+9x^2-10x}\):
Holes: Since \(f(x)=\frac{x^2-2x}{x^3+9x^2-10x}\) reduces to \(f(x)=\frac{x(x-2)}{x(x^2+9x-10)}\), then there is a hole at \(x=0\) as \(x\) exists in both the numerator and denominator (however, its limit as x approaches 0 is 1/5).
Vertical Asymptotes: If we further reduce \(f(x)=\frac{x(x-2)}{x(x^2+9x-10)}\) to \(f(x)=\frac{x-2}{(x+10)(x-1)}\), then we see that there are vertical asymptotes at \(x=-10\) and \(x=1\)
Horizontal Asymptotes: As the degree of the numerator is less than the degree of the numerator (\(2<3\)), then there is a horizontal asymptote at \(y=0\)
Help plsssssssss. find X
The GCF of two numbers is 3 and the LCM is 180. If the one of the number is 45, what is the other number?
Answer:
45
Step-by-step explanation:
45 = 3*3*5
180 = 2*2*3*3*5 <---- so the other number had to contain a factor of 2*2 or 4
also, let the other number has to be of the form 3k and it must contain a factor of 4, how about 12 ?
check: lcf of 12 and 45 is 3,
the lcm of 12 and 45 is ...
12 = 2*2*3
45 = 3*3*5
so we need: 2*2*3*3*5 = 180
correlations based on a subset of all possible scores may be different than those based on the whole range. this concept is called
There may be differences between correlations based on a subset of all potential scores and correlations based on the entire range. Range restriction is the name given to this idea.
When observed sample data are not available across the complete range of interest, it is said to have a restricted range. The most typical situation is when there is a bivariate correlation between two normally distributed variables, one of which has a smaller range than is typically seen in the population as a whole. If data from the complete possible range were studied, the observed connection would be attenuated (lower) than it is in these situations.
Although the variables themselves are not under the researchers' control, correlations are used by researchers to determine whether a relationship between two or more variables exists. A statistical measure known as correlation expresses how closely two variables are related linearly (meaning they change together at a constant rate). It's a typical strategy for describing simple relationships without making a declaration about cause and effect.
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5) if we randomly select someone who was aboard the titanic, what is the probability that person is a man, given that he died?
If we randomly select someone who was aboard the titanic, what is the probability that person is a man, given that he died is 1360/1517.
Probability is a way to gauge how likely something is to happen. Many things are difficult to forecast with absolute confidence. Using it, we can only make predictions about the likelihood of an event happening, or how likely it is. Probability can vary from 0 to 1, with 0 being an impossibility and 1 denoting a certainty. For pupils in Class 10, probability is a crucial subject since it teaches all the fundamental ideas of the subject. One is the probability of every event in a sample space.
Probability that person is a man, given that he died,
P(x) = Favorable outcome/Total
= 1360/ 1517.
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if+the+correlation+between+two+variables+is+.496,+how+much+of+the+variance+has+not+been+accounted+for?++a.+24.6%++b.+49.6%++c.+50.4%++d.+75.4%
The remaining 50.4% of the variance has not been accounted for, and it could be due to other factors that are not captured by the two variables being studied.
If the correlation between two variables is .496, it means that 49.6% of the variance has been accounted for. This is because the correlation coefficient measures the strength and direction of the linear relationship between the two variables, and it ranges from -1 to 1.
A correlation of 1 indicates a perfect positive linear relationship, while a correlation of -1 indicates a perfect negative linear relationship. In this case, a correlation of .496 indicates a moderate positive linear relationship.
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There are 318 calories in six ounces of a certain ice cream. How many calories are there in one pound?
\text{1 pound}=\text{16 ounces}
1 pound=16 ounces
Before you try that problem, answer the question below.
How many ounces will you need to find the number of calories for?
Answer:
16 ounces848 caloriesStep-by-step explanation:
Given 318 calories in 6 ounces of ice cream, you want to know the number of ounces and the number of calories in a pound of ice cream.
OuncesThis problem statement tells you 1 pound is 16 ounces. You will be finding the number of calories in 16 ounces of ice cream.
CaloriesThe number of calories is proportional to the weight of ice cream:
x/(16 ounces) = (318 calories)/(6 ounces)
Multiplying by (16 ounces), we have ...
x = (318 calories)(16/6) = 848 calories
There are 848 calories in one pound of ice cream.
What are the correct answers? Please, explain how to do it please.
Answer:
a
Step-by-step explanation:
Matthew gets a train from Manchester to Bournemouth that travels through London. The train takes 3 hours to travel 210 miles from Manchester to London, and takes 2 hours to travel 120 miles from London to Bournemouth. Work out the train's average speed over the whole journey.
Answer:
The train's average speed over the whole journey is 66 mph.Step-by-step explanation:
To find the average speed first find the total time and distance.
t = 3 + 2 = 5 hoursd = 210 + 120 = 330 milesThe average speed is:
Speed = total distance / total times = 330/5 = 66 mphGiven that Mathew takes a train which takes 3hrs to travel 210 miles from Manchester to London and takes 2hrs to travel to travel from London to Bournemouth. We need to find out the average speed of the journey.
We know that ,
Average speed:-\(\dashrightarrow v_av =\dfrac{Total\ distance\ travelled}{Total\ time \ taken} \)
here ,
total distance= 210 +120 = 330 milestotal time = 3+2 = 5hrsHence the average speed will be ,
\(\dashrightarrow v_av =\dfrac{330\ miles}{5\ hrs}=\boxed{66\ miles/hr} \)
And we are done!
−(−7f−2g)−0.4g−3(−3g+7f)
Someone help me please
Answer:
-14f+10.6g
Step-by-step explanation:
Multiple Choice. Solve the inequality x - 35 > 15
Answer:
x>50
Step-by-step explanation:
x-35>15
+35 +35 (Add 35 to both sides)
x>50
Answer:
x > 50
Step-by-step explanation:
You need to get rid of the 35 to isolate x by adding it to both sides. Once x is on its own, the solution will be x > 50.
a tablet is on sale for 30% off. the regular price is $185. how much money will you save?
Answer:
185×30÷100=55.5
HERES YOUR answer
IN YOUR OWN WORDS How is the cube root of a number different from
the square root of a number?
Answer:
um, a square root is where you go S * S and a cube root is where you go S * S * S
Step-by-step explanation:
I'm stupid so if this is wrong tell me
Here is a grid of squares.write down the ratio of the number of unshaded to shaded squares
The ratio of the number of unshaded to shaded squares is 7 : 3.
What is Ratio?Ratio is defined as the relationship between two quantities where it tells how much one quantity is contained in the other.
It is also defined as the fraction of one quantity with respect to other.
The ratio of a and b is denoted as a : b.
Given is a grid of squares which is given below.
Total number of squares = 10
Of that,
Number of shaded squares = 3
Number of unshaded squares = 7
We have to find the ratio of unshaded to shaded squares in the grid which is 7 / 3 or 7 : 3.
Ratio of unshaded squares to shaded squares = 7 : 3
Hence 7 : 3 is the ratio of unshaded to shaded.
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