Answer:
Difference = 13.9 m/s
Step-by-step explanation:
Speed of an object = distance traveled/time taken
Jamal takes 36 seconds to skate 500 m rink. Let his speed is v. So,
[tex]v=\dfrac{500\ m}{36\ s}\\\\=13.89\ m/s[/tex]
Tory takes 40 seconds to skate 500 m rink. Let his speed is v'. So,
[tex]v'=\dfrac{500\ m}{40\ s}\\\\=12.5\ m/s[/tex]
The difference in their speeds,
D = 13.89 - 12.5
= 1.39 m/s
Hence, the difference in their speeds is 13.9 m/s.
PLEASE!!! HELP ME! WILL GIVE BRAINLIEST, THANKS, AND 5 STARS!!! PLEASE GIVE A SOUND EXPLANATION TOO!!!! YOU GET 50 POINTS!
Answer:
-8
Step-by-step explanation:
Vertex of function f(x)
From inspection of the graph, the vertex of f(x) is (2, 1)
Vertex of function g(x)
Given: [tex]g(x)=2x^2-8x+1[/tex]
Standard form of a parabola is [tex]y=ax^2+bx+c[/tex]
Vertex form of a parabola is [tex]y=a(x-h)^2+k[/tex]
(where (h, k) is the vertex)
To convert from standard to vertex form, complete the square.
Set the equation to zero:
[tex]\implies 2x^2-8x+1=0[/tex]
Add 7 to both sides:
[tex]\implies 2x^2-8x+8=7[/tex]
Factor out common term 2 on left side:
[tex]\implies 2(x^2-4x+4)=7[/tex]
Factor expression inside brackets:
[tex]\implies 2(x-2)^2=7[/tex]
Subtract 7 from both sides:
[tex]\implies 2(x-2)^2-7=0[/tex]
Therefore:
[tex]g(x)=2(x-2)^2-7[/tex]
So the vertex of g(x) is (2, -7)
Solution
y-value of the vertex of f(x) = 1
y-value of the vertex of g(x) = -7
y-value of vertex of f(x) subtracted from the y-value of the vertex of g(x):
-7 - 1 = -8
find the equation of the given slope and y-intercept, plzzz help mee:(
Answer:
y = -6/5x + 4
Step-by-step explanation:
What is the perimeter of the rectangle shown?
Answer:
74
Step-by-step explanation:
Hi! Could you help me?? I’m stuck on this one
Answer:
32 black grapes
Step-by-step explanation:
the 3 part of the ratio represents 24 green grapes , then
24 ÷ 3 = 8 ← value of 1 part of the ratio, then
black grapes = 4 × 8 = 32
Jesus deposited $2000 into a new savings account that paid interest at an annual rate of 3% compounded continuously. If there were no other transactions, approximately how much money was in Jesus' account 6 years after he made the deposit?
PLZ HELP FASTTT Click an item in the list or group of pictures at the bottom of the problem and, holding the button down, drag it into the correct position in the answer box. Release your mouse button when the item is place. If you change your mind, drag the item to the trashcan. Click the trashcan to clear all your answers.
Simplify without negative exponents.
Answer:
1/x^7*x^4 or 1/x*x*x*x*x*x*x*x*x*x*x
Step-by-step explanation:
Who ever is reading this:
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U matter.
The world needs u
hang in there ik it may be bad but u deserve the world <3
ur beautiful no matter ur shape, size, color, gender.. anything
don't give up i need u to live.
i wish i could take everyones problems so yall wouldn't have to have em but i cant so just know ily and if anyone needs to talk u can talk to me
Pls pass this on. Everyone deserves to know this. ♥️♥️
17. Carol and Cathy are each saving money for a vacation. Carol started with $25 and saves
$7.50 a week. Cathy started with $10 and saves $10 a week. When will they have saved
the same amount?
Answer:
6 weeks
Step-by-step explanation:
Let x represent the weeks
[tex]25=10+ (10x-7.5x = 2.5)[/tex]
[tex]25-10=2.5x = 15[/tex]
[tex]\frac{15}{2.5}=x \\(150/25)\\x=6[/tex]
Carol and Cathy will have same saved amount after 6 weeks.
What do you mean by algebraic expressions ?
Algebraic expression is an equation which consists of variables and the arithmetic operations such as division , multiplication , etc.
It is given that Carol started with $25 and saved per week an amount of $7.50 whereas Cathy started with $10 and saved per week amount of $10.
Let's assume that after x no. of weeks they will have same saved amount.
So , we can write an algebraic expression which is :
25 + (7.5 × x) = 10 + (10 × x)
Now , reordering the like terms we get :
10x - 7.5 x = 25 - 10
Simplifying this we get :
2.5 x = 15
or
x = 15 ÷2.5
or
x = 6 weeks
Therefore , Carol and Cathy will have same saved amount after 6 weeks.
Learn more about algebraic expressions here :
brainly.com/question/27882730
#SPJ5
Jaleesa bought two
notebooks for $8.75 each
and one computer bag for
$74.95. If sales tax was 7%,
what was the total cost of
Jaleesa's purchases?
DONT ANSWER IF U DONT KNOW !
Answer:
Notebooks= 8.75
computer bags=74.95
Amount with tax = Approximately 89.559
3^2 −(9−4)^3 help please
Answer:
Step-by-step explanation:
?
Does anyone know the answer to number 2?
Answer: answer is 19 !!
Step-by-step explanation:
What would the equation be for this problem: What is the cost, "c" for a disc that is $13 plus $1.95 for shipping and handling when you buy "n" discs.
Answer:
Step-by-step explanation:
Two possible equations, depending on how you read the question.
1. Is there a shipping and handling per disc?
If so:
[tex]C = 13n + 1.95n[/tex]
2. Shipping and handling is only charged once?
If so:
[tex]C=13n+1.95[/tex]
4.
3. If 2(4x + 3) - 12 = 3x - 6, then what value of x makes
the equation true?
Answer with supporting work:
Answer:
x=0
Step-by-step explanation:
2(4x+3)-12=3x-6
distribute
8x+6-12=3x-6
8x-6=3x-6
8x-3x=-6+6
5x=0
x=0
Samantha is saving for retirement, which is at least 30 years away, and wants to buy a house soon. Almost all her
investments are in certificates of deposit. Which statement most likely describes her plan considering her time frame?
She likely is in good shape to meet her goals.
She likely needs to consider additional investment options for her retirement goal.
She likely needs to consider other investment options for her home-buying goal.
She likely needs to adjust her budget to save more for her goals,
Answer:
She likely need to consider additional investment options for her retirement goal.
Step-by-step explanation:
Nick my luts
What’s the digit you need to input in the space with the question mark to complete the code for the safe? Here’s a hint to save you some stress: The “Safe A08” text on the bottom is meaningless, so don’t waste time trying to figure out if that will help you get the answer!
Answer:
4
Step-by-step explanation:
Because It's a pattern that switches itself over and over.
Got It? Do these problemst
Solve each system of equation
1. y=x
y = 2x - 4
answer
10
6420
10
Does anyone know the answer to number 4?
Answer:
You have 12 quarters and 30 dimes.
Step-by-step explanation:
If you have an equation that says 10d+25q= 600 cents (d meaning dime and q meaning quarter) and have another equation that says d+w=42, then you could use those two equations to solve the problem.
Hope this helps a little bit. It is a little hard to explain but let me know if you need some more help.
good evening! Can someone please answer this, ill give you brainliest and your earning 50 points. Would be very appreciated.
Answer:
Step-by-step explanation:
3x^2 + 8x - 16 - SOMETHING = x^2 - 4
Re-arranging left and right:
SOMETHING = 3x^2 + 8x - 16 - x^2 + 4
= (3x^2 - x^2) + 8x - 16 + 4
= 2x^2 + 8x - 12
Answer:
Original expression: [tex]3x^2+8x-16[/tex]
Let [tex]a[/tex] be the quantity Amir subtracted from the original expression.
Expression after subtraction: [tex]x^2-4[/tex]
[tex]\implies (3x^2+8x-16)-a=x^2-4[/tex]
Solve for [tex]a[/tex]:
[tex]\implies 3x^2+8x-16-a=x^2-4[/tex]
Add 4 to both sides:
[tex]\implies 3x^2+8x-12-a=x^2[/tex]
Subtract [tex]x^2[/tex] from both sides:
[tex]\implies 2x^2+8x-12-a=0[/tex]
Add [tex]a[/tex] to both sides:
[tex]\implies 2x^2+8x-12=a[/tex]
Therefore, Amir subtracted [tex]2x^2+8x-12[/tex] from the original expression.
PLEASE HELP! math is stressing me
Answer:
Sin theta= a/c
= 5/7.8
= 0.64
= 1
Step-by-step explanation:
Lets find the hypotenuse first by applying Pythagorean theorem.
a^2+b^2=c^2
(6)^2+(5)^2=c^2
36+25=c^2
61=c^2 (FIND SQUARE ROOT)
7.8=c
Sin theta= a/c
= 5/7.8
= 0.64
= 1
Cos theta= b/c
= 6/7.8
Tan theta= a/b
= 5/6
Penelope went to the store to buy x pounds of broccoli for $1.10 per pound and y cans of soup for $2.50 each. In total, she spent less than $10. The inequality relating the purchases she made and the total purchase price is
1.10x + 2.50y < 10. Which are reasonable solutions for this situation? Check all that apply.
(–1, 4)
(0, 2)
(3, 2.5)
(2, 4)
(0.5, 3.78)
(1.5, 3)
Answer:
the 2nd and last options
Step-by-step explanation:
Answer:
B and F
Step-by-step explanation:
Help please need answers asap
Answer:
letter C
Step-by-step explanation:
hope its help
carry on learning godblessFind m HELP THIS IS IMPORTANT
Mikel creates the table below to help her determine 40% of 70.
40% of 70
20%
20%
20%
20%
20%
0.2
0.2
0.2
0.2
0.2
14
14
14
14
14
She writes the expression (0.2) (14). Which change in Mikel’s expression will lead her to the correct answer?
The 14 in the expression could be changed to 28.
The 0.2 in the expression could be changed to 0.4.
The 14 in the expression could be changed to 70.
The 0.2 in the expression could be changed to 2.
Answer:
its d
Step-by-step explanation:
Snow is falling steadily in Syracuse, New York. After 2 hours, 4 inches of snow has fallen
If it continues to snow at the same rate, how many inches of snow would you expect after 6.5 hours? If you get stuck, you can use the table to help.
Answer:
13
Step-by-step explanation:
2 hours = 4 inches
2/2 equals 1 hour
4/2 equals 2 inches
2 inches of snow per hour
6.5*2 is 13
you should expect 13 inches of snow in 6.5 hours
A ten pound bag of apples for $33.49
one pound of apples
Answer:
3.349
Step-by-step explanation:
Make a number line and mark the points that represent the following values of x. 5x<12
Answer:
x=2.5
Step-by-step explanation:
5x<12 1. /5 on both sides
x= 2.5
Answer:
x<2.4
Step-by-step explanation:
5x < 12
x < 12/5
x < 2.4
On the number line, draw an arrow going towards left from 2.4, with an open circle at 2.4
Insert three arithmetic means between -16 and 4.
Answer:
Three arithmetic means between -16 and 4 are : 20 , 10 and [tex]\frac{20}{3}[/tex]
Step-by-step explanation:
we have to find out three arithmetic means between -16 and 4
-16 , ____ , ____ , ____ 4
so , lets take the mean like this ,
-16 , -16+d , -16+2d ,-16+3d , 4
First mean -: -16 +d = 4
d= 4+16
d = 20
second mean -: -16 +2d = 4
2d= 4+16 = 20
d= [tex]\frac{20}{2}[/tex]
d= 10
third mean -: -16+3d = 4
3d = 20
d=[tex]\frac{20}{3}[/tex]
Therefore , all the three arithmetic means between -16 ad 4 are 10 , 20 and [tex]\frac{20}{3}[/tex] .
Five times the product of two numbers x and y divided by a third number 27
Answer:
5xy/27
Step-by-step explanation:
The product of the two numbers x and y = xy
Five times the product of the two numbers x and y = 5xy
then,
divided by a third number 27 = 5xy/27
The expression will be : 5xy/27
The solution to an absolute value inequality is shown on the graph below.
Answer:
c
Step-by-step explanation:
what rational
i neeed to know
The formula for distance traveled d is d=rt, where r is the average speed of the object and t is time traveled. If an object travels 30 meters in 20 seconds, what is its speed
Answer:
Step-by-step explanation:
Distance formula:
d = rt
where d = distance, r = average speed and t = time travelled.
They told us that an object travels 30 meters in 20 seconds.
So we can say d = 30 and t = 20
If you put these values back into the distance formula you get:
d = rt
30 = r times 20
30 = 20 r
So now we want to find what "r" (average speed) is.
Divide both sides by 20.
20 r = 30
r = [tex]\frac{30}{20}[/tex] = 1.5 meters per second.