Answer:
21 students were given 4 lolipops
Step-by-step explanation:
Identify the unit rate in the graph.
A) 40 mph
B) 75 mph
C) 50 mph
D) 25 mph
C)50mph
speed= distance÷time
so ....
we find how much 25 miles took therefore we do
25÷0.5
which is
=50
Hope this helped you, have a good day bro cya)
Answer:
fast
Step-by-step explanation:
historical definition
Italian physicist Galileo Galilei is usually credited with being the first to measure speed by considering the distance covered and the time it takes. Galileo defined speed as the distance covered per unit of time.[3] In equation form, that is
{\displaystyle v={\frac {d}{t}},}v={\frac {d}{t}},
where {\displaystyle v}v is speed, {\displaystyle d}d is distance, and {\displaystyle t}t is time. A cyclist who covers 30 metres in a time of 2 seconds, for example, has a speed of 15 metres per second. Objects in motion often have variations in speed (a car might travel along a street at 50 km/h, slow to 0 km/h, and then reach 30 km/h).
Instantaneous speed
Speed at some instant, or assumed constant during a very short period of time, is called instantaneous speed. By looking at a speedometer, one can read the instantaneous speed of a car at any instant.[3] A car travelling at 50 km/h generally goes for less than one hour at a constant speed, but if it did go at that speed for a full hour, it would travel 50 km. If the vehicle continued at that speed for half an hour, it would cover half that distance (25 km). If it continued for only one minute, it would cover about 833 m.
In mathematical terms, the instantaneous speed {\displaystyle v}v is defined as the magnitude of the instantaneous velocity {\displaystyle {\boldsymbol {v}}}{\boldsymbol {v}}, that is, the derivative of the position {\displaystyle {\boldsymbol {r}}}{\boldsymbol {r}} with respect to time:[2][4]
{\displaystyle v=\left|{\boldsymbol {v}}\right|=\left|{\dot {\boldsymbol {r}}}\right|=\left|{\frac {d{\boldsymbol {r}}}{dt}}\right|\,.}v=\left|{\boldsymbol v}\right|=\left|{\dot {{\boldsymbol r}}}\right|=\left|{\frac {d{\boldsymbol r}}{dt}}\right|\,.
If {\displaystyle s}s is the length of the path (also known as the distance) travelled until time {\displaystyle t}t, the speed equals the time derivative of {\displaystyle s}s:[2]
{\displaystyle v={\frac {ds}{dt}}.}v={\frac {ds}{dt}}.
In the special case where the velocity is constant (that is, constant speed in a straight line), this can be simplified to {\displaystyle v=s/t}v=s/t. The average speed over a finite time interval is the total distance travelled divided by the time duration.
Average speed
Different from instantaneous speed, average speed is defined as the total distance covered divided by the time interval. For example, if a distance of 80 kilometres is driven in 1 hour, the average speed is 80 kilometres per hour. Likewise, if 320 kilometres are travelled in 4 hours, the average speed is also 80 kilometres per hour. When a distance in kilometres (km) is divided by a time in hours (h), the result is in kilometres per hour (km/h).
Average speed does not describe the speed variations that may have taken place during shorter time intervals (as it is the entire distance covered divided by the total time of travel), and so average speed is often quite different from a value of instantaneous speed.[3] If the average speed and the time of travel are known, the distance travelled can be calculated by rearranging the definition to
{\displaystyle d={\boldsymbol {\bar {v}}}t\,.}d={\boldsymbol {{\bar {v}}}}t\,.
Using this equation for an average speed of 80 kilometres per hour on a 4-hour trip, the distance covered is found to be 320 kilometres.
Expressed in graphical language, the slope of a tangent line at any point of a distance-time graph is the instantaneous speed at this point, while the slope of a chord line of the same graph is the average speed during the time interval covered by the chord. Average speed of an object is Vav = s÷t
Difference between speed and velocity
Speed denotes only how fast an object is moving, whereas velocity describes both how fast and in which direction the object is moving.[5] If a car is said to travel at 60 km/h, its speed has been specified. However, if the car is said to move at 60 km/h to the north, its velocity has now been specified.
The big difference can be discerned when considering movement around a circle. When something moves in a circular path and returns to its starting point, its average velocity is zero, but its average speed is found by dividing the circumference of the circle by the time taken to move around the circle. This is because the average velocity is calculated by considering only the displacement between the starting and end points, whereas the average speed considers only the total distance travelled.
Consider the following two loans for P=$5,000. Loan A: 2.5 year loan, annual interest rate of 12%. Loan B: 5 year loan, annual interest rate of 6%. Both loans are paid monthly, and their interest is compounded monthly. Calculate the absolute difference between the total interest paid on both loans. Round your answer to the nearest cent.
53.5 dollars is the total interest paid on both loans.
What is Compound Interest ?
Compound interest is the addition of interest to the principal sum of a loan or deposit, or in other words, interest on principal plus interest.
Loan A :
CI = P(1 + R/100)∧(T) - P
CI = 5000(1 + 12/100)∧(5/2) - 5000
CI = 1637.66
Loan B :
CI = P(1 + R/100)∧(T) - P
CI = 5000(1 + 6/100)∧(5) - 5000
CI = 1691.13
difference between two CI
= 1691.13 - 1637.66
= 53.47
= 53.5 dollars
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Hey could some one please answer this question ?
Jazelle Momba wants to visit her family in Zimbabwe in 2025, which is 6 years from now. She knows that it will cost approximately $8,000 including flight costs, on-the-ground costs, and extra spending money to stay for 4 months. If she opens an account that compounds interest at 4% semiannually, how much does she need to deposit today to cover the total cost of her visit?
9514 1404 393
Answer:
$6307.95
Step-by-step explanation:
The compound interest formula can help with that.
A = P(1 +r/n)^(nt) . . . . value of principal P at rate r for t years, compounded n times per year.
P = A(1 +r/n)^(-nt) = $8000(1 +0.04/2)^(-2·6) = $8000(1.02^-12) = $6307.95
Momba needs to deposit $6307.95 today to have $8000 in 6 years.
Help me with this math question. Please no links.
I cant read it, the picture is blurry
PLEASE ANSWER ASAP‼
4-5c for C= -1/2
A field hockey field is rectangular. It's width is 54.88 meters and its length is 91.46 meters.find the perimeter of the field
Answer: 292.68 m²
Step-by-step explanation:P=2a+2b
P=2*54.88m+2*91.46m
P=109.76m+182.92m
P=292.68m²
simplify each expression and state the number of terms in the final answer.
1) 4m+3j, 2 terms.
2) -11x+6y+9, 2 terms
3) [tex]11g^5+6g^4-4gh\\[/tex], 2 terms
What is the length of the line?
Answer:
its A 6.5................
Abigail is trying to rent a boat while on vacation. She has two options to choose from.
Bruce's Boats: $22.50 per hour plus a one time fee of $85
Peter's Pontoons: $65.00 per hour
After how many hours, will Bruce's Boats, and Peter's Pontoons charge the same amount?
A.130
B.2
C.3
D.85
ANSWER QUICK
Step-by-step explanation:
D bruce's boats: $22.50
HELP PLZ HELP FAST THIS IS DUE
Answer:
False
Step-by-step explanation:
The angles are different degrees
Answer: false
Step-by-step explanation: dont really have an explenantion
PLEASEEEEEEE HELLPPPPP
Answer:
a) 3.5metres
b) 34metres
please help teacher mean
Shane wants to plant 28 marigold plants and 36 rose plants in his garden. What is the greatest number of rows possible if each row has the same number of marigold plants and the same number of rose plants.
Answer:
HCF=2*2=4
Step-by-step explanation:
Given : Shane wants to plant 28 marigold plants and 36 rose plants in his garden
To Find : the greatest number of rows possible each row has the same
number of marigold plants and the same number of rose plants.
Solution:
marigold plants = 28
rose plants = 36
To find the greatest number of rows possible if each row has the same
number of marigold plants and the same number of rose plants.
we need to find HCF of 28 and 36
28 = 2 x 2 x 7
36 = 2 x 2 x 3 x 3
HCF = 2 x 2 = 4
greatest number of rows possible is 4
Learn More:
5. On a school trip, 56 and 98 went to Kanyakumari. They ...
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If the HCF of (p²-p-6) and (p²+3p-18) is (p-a). Find the value of a ...
brainly.in/question/7765835
The rectangle below has sides measuring 6cm and 5 cm. What is the area of this rectangle
Answer:30 cm
Step-by-step explanation:
Area is found by two side lengths multiplied together, the two side lengths in the problem are 5cm and 6cm, 5 times 6 is 30, (plus add the measurement) which is 30 cm. :))
The area of the rectangle which has sides that measures 6cm and 5cm is 30 cm²
How to calculate the area of the rectangle?The rectangle has two sides that measures 6cm and 5cm respectively
The formula for calculating the area of a rectangle is length multiplied by width
The area of the rectangle can be calculated as follows
= 6 × 5
= 30 cm²
Hence the area of the rectangle is 30 cm²
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WILL MARK BRAINLIEST Select the correct answer.
What is the slope of the line in this graph?
y 10
9
8
00
17
6
5
5
w
3
-2
N
X
1
2
3
5
ch
6
7
7
GO
9
10
ОА.
OB &
C.
9
OD
Hope this helps you !! :)
The solution is, the slope of the line in the graph is 5/7.
What is slope?In mathematics, the slope or gradient of a line is a number that describes both the direction and the steepness of the line. The slope of a line is a measure of its steepness. Mathematically, slope is calculated as "rise over run" (change in y divided by change in x).
here, we have,
from the given graph, we get,
the line is passing through the points ( 0,0) and, (5,7).
now, we know that
slope of a line is,
m = x1 - x2 / y1 - y2
so, we have,
here,
Slope(m) = 5-0/7-0
= 5/7
Hence, The solution is, the slope of the line in the graph is 5/7.
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please help me solve this !
will mark brainliest !
(spammers reported)
Answer:
x=2
Step-by-step explanation:
A 4-quart jug of juice costs $4.48. What is the price per cup?
Answer:
28 cents.
Step-by-step explanation:
There are 4 cups in 1 quart. So, 4 quarts is 16 cups.
If 4 quarts costs $4.48, to find the price per cup, you need to divide $4.48 by 16.
4.48 ÷ 16 = 0.28
This means each cup is 28 cents.
I hope this helps! :)
Step-by-step explanation:
you devide 4.48by 16 and your answer is 0.28
Use the given property of equality to complete the statement. Reflexive Property of Equality b + 5 + 12 =
Answer:
b=-17
Step-by-step explanation:
1) add common terms aka 5 and 12, which is 17
b+17=0
2) move seventeen to the other side by doing the opposite opperation of addition which is subtraction
b=-17
I NEED HELP ASAP!!! (NO LINKS)
FULL EXPLANATION WILL GET BRAINLIEST!!!
#33
Answer:
35
Step-by-step explanation:
Using the definition of n[tex]C_{r}[/tex]
with n = 7 and r = 3
7[tex]C_{3}[/tex]
= [tex]\frac{7!}{(7-3)!3!}[/tex]
= [tex]\frac{7!}{4!(3!)}[/tex]
= [tex]\frac{7(6)(5)(4)(3)(2)(1)}{4(3)(2)(1)3(2)(1)\\}[/tex] ← cancel 4(3)(2)(1) on numerator/denominator
= [tex]\frac{7(6))(5)}{3)2)(1)}[/tex]
= [tex]\frac{210}{6}[/tex]
= 35
What is an inequality to compare the temperatures of Mercury and Mars.
Answer:
Mercury > Mars
Step-by-step explanation:
Mercury orbits closer to the sun than Mars, so it has a higher surface temperature.
What is an equation of the line that passes through the point (-5,-6) and is parallel to the line x+5y=25x+5y=25?
Answer:
[tex]y = - \frac{1}{5} x - 7[/tex]
Step-by-step explanation:
let's rewrite the equation
[tex]x + 5y = 25 \\ 5y = - x + 25 \\ y = - \frac{1}{5} x + 5[/tex]
Now let's use the given point and substitute it to find the y-intercept
[tex] - 6 = - \frac{1}{5} ( - 5) + b \\ - 6 = 1 + b \\ b = - 7[/tex]
The required solution of the given equation of the line that passes through the point (-5,-6) and is parallel to the line x+5y=25 is
[tex]y=\frac{-1x}{5} -7[/tex].
What is slope?Numerical measure of a line's inclination relative to the horizontal. In analytic geometry, the slope of any line, ray, or line segment is the ratio of the vertical to the horizontal distance between any two points on it.
Given:
The point is (-5,-6) and is parallel to the line x+5y=25.
According to given question we have
By use of slope we get
x+5y=25
5y=25-x
Divide both sides 5 we get,
y=-1/5x+5
Where m= -1/5
Now you can find the equation of the parallel line using
[tex](y-y_{0} )=m(x-x_{0})[/tex]
Put the given point as (-5,-6) we have,
[tex](y+6)=\frac{-1}{5} (x+5)\\\\y=\frac{-1x}{5} -1-6\\\\y=\frac{-1x}{5} -7[/tex]
Therefore, the required solution of the given equation of the line that passes through the point (-5,-6) and is parallel to the line x+5y=25 is
[tex]y=\frac{-1x}{5} -7[/tex].
Learn more details about slope here:
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5x−13x≥16 what’s the answer
x ≤ -2
Step-by-step explanation:
[tex]\begin{aligned}\tt 5x-13x&\geq 16\\\tt (5-13)x&\geq\tt 16\\\tt -8x&\geq\tt 16\\\tt 8x&\leq\tt -16\\\tt x&\leq\tt\frac{-16}{8}\\\tt x&\leq\tt -2\end{aligned}[/tex]
I will mark brainlist please help!!
- dilation (lesson)
1) in a dilation of a figure, the distance between two consecutive vertices does not change
• true
• false
2) the coordinates of the vertices of a triangle JKL are J (4,8) K (8,8) L (4,2). Find the coordinates of the vertices of the image after a dilation by K = 0.25
• J (2,1) K (2,2) L (1,2)
• J (-2,1) K (4,2) L (1,0.5)
• J (1,2) K (2,2) L (1,0.5)
Answer:
see explanation
Step-by-step explanation:
(1) False
A dilatation enlarges or reduces the original figure
Then the distance between consecutive vertices changes.
(2)
Assuming the centre of dilatation is at the origin then multiply the coordinates of the points by the scale factor k = 0.25 ( a reduction )
J (4, 8 ) → J' (4(0.25), 8(0.25) ) → J' (1, 2 )
K (8, 8 ) → K' (8(0.25), 8(0.25) ) → K' (2, 2 )
L (4, 2 ) → L' (4(0.25), 2(0.25) ) → L' (1, 0.5 )
PLEASE HELP ME
(Part 1) A line goes through the points (1, 6) and (–2, 8). Write the equation of the line in Point-Slope form. Show your work algebraically for full credit. Circle your answer
(Part 2) A line goes through the points (1, 6) and (–2, 8). Write the equation of the line in Slope-intercept form. Show your work algebraically for full credit. Hint: this is the same line as in #1. Circle your answer.
Answer:
48
Step-by-step explanation:
A step-by-step solution to 1/6 plus 2/8, with the answer in fraction form.Now we multiply 1 by 8, and get 8, then we multiply 6 by 8 and get 48.
11,912 + 26,102 + 26,102
Answer:
it's 64,116
Step-by-step explanation:
ur welcome
The current United States population is about 314,000,000 people. If an iPad costs $500.00, what would be the total cost of purchasing an iPad for each person?
Answer:
157,000,000,000
Step-by-step explanation:
314,000,000 X 500
Help please? What do I do?
You have just bought a new Sony 55" 3D television set for $1,800. The value of the television set decreases by $210 per year. How long before the television set is worth half of its original value?
Round your answer to the nearest tenth as needed.
Use the sequence of operations to answer the question.
1. add 3 to b
2. subtract the result inom 8
3. triple the answer
Answer:
(8-(3+b))3
Step-by-step explanation:
first of all, we have to variables, 3 and b that we are told to add
that is, 3+b
we are now told to subtract the answer from 8
that is 8 minis the answer
= 8- (3+b)
lastly we triple the answer to give
(8-(3+b)3
or
3(8-(3+b)
Identify the situation that involves opposite quantities adding up to zero Climbing up 6 feet and climbing down 4 feet Hiking 10 feet due north, then hiking 10 feet due south Ascending 2 feet and descending 3 feet Earning $5 and spending $3
9514 1404 393
Answer:
(b) Hiking 10 feet due north, then hiking 10 feet due south
Step-by-step explanation:
Any pair of numbers that totals zero will be a pair of opposites. The offered choices are ...
+6 -4 = 2 . . . not zero
+10 -10 = 0
+2 -3 = -1 . . . not zero
+5 -3 = 2 . . . not zero
Hiking 10 feet due north, then hiking 10 feet due south is a situation involving opposite numbers adding up to zero.