Initial velocity=0
Height=45m
G=10m/s^2
By the 2 nd equation of motion …(Under free fall)-
H = ut + 1/2 g t^2
45 = 0 + {1/2 * 10 * (t^2)} •: [0*t=0]
45 = 5 t^2
45/5 = t^2
9 = t^2
√9=t
3=t
Answer-: The time taken would be 1.3 seconds to reach the ground.
For a given recipe, 8 cups of flour are mixed with 12 cups of sugar. How many cups of flour should be used if 27 cups of sugar are used? Assuming a constant ratio, fill out the table of equivalent ratios until you have found the value of x.
Answer:
x=18
Step-by-step explanation:
it is a proportion
8:12=x:27
you have to multiply the know external terms(8 and 27) and divide them by the 12
Find the distance between the following pair of points.
A(-3,1), B(7,13)
Answer:
15.6 units (3 s.f.)
Step-by-step explanation:
The distance between 2 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]
Using the distance formula above,
distance between A(-3, 1) and B(7, 13)
= [tex]\sqrt{(13-1)^{2} + [7-(-3)]^{2} } }}[/tex]
= [tex]\sqrt{12^2+(7+3)^2}[/tex]
= [tex]\sqrt{244}[/tex]
= 15.6 units (3 s.f.)
Additional:
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what is the answer to this problem?
10
_
8
Step-by-step explanation:
corect me if i wrong
John and Joan shared an amount of money in a ratio 5:7. Joan had $45 more than John - find the amount each received
John received $112.5 and Joan received $157.5 respectively as per the given ratio.
John and Joan share the amount in the ratio: 5:7
it is given that Joan had $45 more amount than John, therefore
Let the amount with John be x, so the amount with Joan will be x + 45
Formulating the equation we get:
Amount with John/Amount with Joan = Ratio of money with John/Ratio of money with Joan
x/(x + 45) = 5/7
7x = 5x + 225
2x = 225
x = 112.5
Amount with John = 112.5
Amount with Joan = 157.5
So, amount John received $112.5 and Joan received $157.5 respectively.
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What scale factor would you use to create the copy on the right?
- - - - - - - - - - - - - - - - - - - - - - - -
Work below. Enjoy!
- - - - - - - - - - - - - - - - - - - - - - - -
A simple way to determine the scale factor is to measure a segment's size in units and compare it to the original.
Segment XW = 6 units
Segment EF = 2 units
Now, simply divide the larger (6) by the smaller (2) and you get your answer (3).
- - - - - - - - - - - - - - - - - - - - - - - -
Good luck! :)
(Consider leaving a Brainliest if this helped!)
~pinetreee
who discovered zero?
Answer:
"Zero and its operation are first defined by [Hindu astronomer and mathematician] Brahmagupta in 628," said Gobets. He developed a symbol for zero: a dot underneath numbers.
HELP URGENT!! EVERYTHING INCLUDED IN PHOTO!!
Answer:
Part A is 63-7.5
Step-by-step explanation:
솓ㄱㄷ 샤 냐 :)
THERE...........
Answer:
60 percent
I think it is 60 but you might need a more certifyd answer
==================================================
Explanation:
A is 40% of B
This translates to the equation A = 0.40B or A = 0.4B
This is because 40% converts to 0.40 in decimal form
Let's divide both sides by 0.4 to isolate B
A = 0.4B
A/0.4 = B
B = (1/0.4)A
B = 2.5A
This shows that B is 250% of A
------------
Another approach:
40% = 40/100 = 2/5
"A is 40% of B" is the same as "A is 2/5 of B
So,
A = (2/5)*B
5A = 2B
2B = 5A
B = 5A/2
B = (5/2)A
B = 2.5A
which is another way to show that B is 250% of A
Independent Practice For each pair of expressions below, without substituting in specific values, determine which of the expressions in the given pairs is larger. Explain your reasoning in a sentence or two.
In the first pair of numbers 15/x² + 6 is larger and in the second pair of numbers (s² + 2)/(s² + 1) is larger
What is Expression in Mathematics?Expressions in math are mathematical statements that have a minimum of two terms containing numbers or variables, or both, connected by an operator in between.
Given is two pairs of expressions. From the image given , we can write them as -
Pair 1 → f(x) = 15/x² + 6 and h(x) = 15/x² + 7
Pair 2 → f(s) = (s² + 2)/(s² + 1) and h(s) = (s² + 4)/(s² + 3)
We can compare which expression is larger in both the pairs without substituting any specific value as follows -
Pair 1 → f(x) = 15/x² + 6 and h(x) = 15/x² + 7.
The numerator is same in both the functions.
Now, for any value of x ∈ R → x² + 6 < x² +7 by 1. Therefore, f(x) > h(x)
Pair 2 → f(s) = (s² + 2)/(s² + 1) and h(s) = (s² + 4)/(s² + 3)
f(s) = (s² + 2)/(s² + 1) = [(s² + 1) + 1]/(s² + 1) = 1 + 1/(s² + 1)
h(s) = (s² + 4)/(s² + 3) = [(s² + 3) + 1]/(s² + 3) = 1 + 1/(s² + 3)
So, we can write that -
f(s) = 1 + 1/(s² + 1)
h(s) = 1 + 1/(s² + 3)
Now for any value of s → (s² + 1) < (s² + 3) by 2. So → 1/(s² + 1) > 1/(s² + 3). Therefore → 1 + 1/(s² + 1) > 1 + 1/(s² + 3). Finally, we can write -
(s² + 2)/(s² + 1) > (s² + 4)/(s² + 3)
Therefore, in the first pair of numbers 15/x² + 6 is larger and in the second pair of numbers (s² + 2)/(s² + 1) is larger.
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ILL GIVE BRAINLY TO THE BEST ANSWER
the 1560 members of the temecula community church have a method of quickly notifying members. the pastor and his secretary each call 3 members each of whom then call 3 other members, each of whom then calls 3 more members, and so on. how many rounds of calls are needed before all 1560 members are called
Answer:
here's the answer
Step-by-step explanation:
the total calls are 39 call
the remaining calls are 1530
the remaining rounds are 481
481+39=520
520x3= 1560
30 points
how do i solve 4x -1
Answer: QV=31 units ==> 3rd option
Step-by-step explanation:
SV=QV ==> Congruent segments are equal
4x-1=QV
TQ=TS ==> Congruent segments are equal
26=3x+2
26-2=3x+2-2
3x=24
x=8
4x-1=QV
4(8)-1=QV
32-1=QV
QV=31 units ==> 3rd option
D(-4,1),A(-2,5,s(-1,4)N(-1,2
All of the coordinates in the attached screenshot are in the second quadrant.
The answer to Gprahing systems of equations
Answer:
Step-by-step explanation:
Answer:
Step-by-step explanation:
John Picks Up 2 Apples And Removed 1, And He Picked Up 10 Apples And Gave Away a Half Of Apples To Anyone! John Finally Picks Up 3 Apples And 6 Oranges, How Many Did John Have?
Write Down Your Answers Below!
Subjects : Mathematics, Life, John's Fruit Blast!
Answer:
14 1/2 fruits
Step-by-step explanation:
Evaluate if A = 2, B = 7, and C = 6. 7a + b over C (over means a fraction line, imagine 7a + b over C as a fraction)
Answer: 3.5
Step-by-step explanation:
A = 2, B = 7, C = 6
(7a + b)/c
=(7(2)+7)/(6)
=(14+7)/6
=21/6
=3.5
A square technology chip has an area of 81 centimeters. How long is each side of the chip?
The length of each side of the chip is ]]]blank]]]
enter your response here cm.
(Simplify your answer.)
The length of each side of the chip is 9 centimeters.
What is the length of each side of the chip?A square is an object that has four sides and four equal sides. All the four sides of a square are of equal length. A square has two diagonal that bisect each other at 90°.
The area of a square = length²
Given the area of a square, the length can be determined by calculating the square root of the area of the square. The square root of a number divides a number into two equal halves.
Length = √area
√81 = 9cm
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Assume that Tom's Tree and Landscape Service charges $ 175 for a consultation fee plus $55 per hour for labor and that Lawn Perfect Landscape Service charges $325 for a consultation fee plus $25 per hour for labor.
a) Write a system of equations to represent the cost of the two landscaping services.
b) Graph both equations for 0 to 10 hours on the same axes.
c) Use the graph to estimate the number of hours of landscaping that must be used for both services to have the same cost.
Using linear functions, we have that:
a) The system is composed by these following equations: 175 + 55x, 325 + 25x.
b) The graph is given at the end of the answer.
c) From the point of intersection on the graph, both services will have the same cost of $450 for 5 hours of work.
What is a linear function?A linear function is modeled by:
y = mx + b
In which:
m is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.b is the y-intercept, which is the value of y when x = 0, and can also be interpreted as the initial value of the function.For each function, we have that:
The consultation fee is the intercept.The hourly fee is the slope.Hence the linear equations that compose the system are given by:
175 + 55x, 325 + 25x.
The graph is given at the end of the answer, and from it, the intersection point is at (5,450), meaning that both services will have the same cost of $450 for 5 hours of work.
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what is a example for a proportion
Answer: the time taken by train to cover 50km per hour is equal to the time taken by it to cover the distance of 250km for 5 hours
Step-by-step explanation:
You divide then together
Please help urgent!
Ex 3: Quadrilateral ABCD is a parallelogram.
a) m/BAC = 54°,
find m/DCA =
D
D
A
c) m/DCB = 142° & m/DCA =
37⁰,
find m/BAC=
D
A
E
A
E
7
C
e) AE = 14 cm & DE = 18 cm,
find EB =
E
B
?
C
B
B
find m/DAB =
D
D
d) m/ABC = 73° &
m/DBA = 31°,
find m/DBC =
b) m≤ADC = 78°,
D
A
A
A
E
O
E
f) EC = 10 cm & EB = 15 cm,
find AC =
E
C
B
OB
C
B
Answer:
36 = 69
Step-by-step explanation:
45
Tom and ben both get paid the same amount for every hour they work. tom worked 5 hours and ben worked 6 hours. together, they received r1 430. how much money did each receive?
Tom and Ben received 650 and 780 respectively.
Let the amount paid to each for every hour they work be x. Now, forming the equation as per the given information in question.
5x + 6x = 1430
Performing addition to find the value of x.
11x = 1430
Shifting 11 to Right Hand Side of the equation
x = 1430 ÷ 11
Performing division to find the value of x
x = 130
Now finding the amount received by Tom and Ben based on the number of hours they worked.
Amount received by Tom = 5x
Amount received by Tom = 5 × 130
Amount received by Tom = 650
Amount received by Ben = 6x
Amount received by Ben = 6 × 130
Amount received by Ben = 780
Therefore, the amount received by Tom and Ben are 650 and 780 respectively.
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To make pizza sauce for 2 pizzas, you need 2 cans of tomato sauce for every 1 can of tomato paste. If you have 6 cans of tomoto sauce, how many cans of tomatoe paste do you need and how many pizzas can you make?
Answer:
3 cans of tomato paste and 6 should be correct
Alexander said: "All primes are odd,
except the number 2. Therefore, all odd numbers are prime numbers.
prime." Do you agree with Alexander? Explain your answer.
No
Step-by-step explanation:
All numbers that are prime are odd and If the number is divisible by 2 it would be a composite number
I need help with the delta math order signed number (level 2) Drag the numbers below to put them in order from least to greatest
The numbers ordered from least to greatest are- 2.14, 2.2, 2.221, 2.276, 2.26, 2.291.
Here, we are given 6 numbers-
2.2, 2.276, 2.291, 2.14, 2.26, 2.221
Now, we can add as many zeroes as we want after the decimal, it does not change the value of the number.
Thus, let us make all the numbers 3 digit decimal numbers
2.200, 2.276, 2.291, 2.140, 2.260, 2.221
Here, all the numbers have 2 in the units place, so we just need to compare the decimals
The first digit after decimal is 2 in all the numbers except 2.140, thus it is the smallest.
Then, the second digit after decimal is 0 in 2.200, thus it is the next smallest number.
By similar logic, looking at the second digit after the decimal only we can arrange the remaining numbers as 2.221, 2.276, 2.260, 2.291.
Thus, the numbers ordered from least to greatest are- 2.14, 2.2, 2.221, 2.276, 2.26, 2.291.
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Your question was incomplete. Please check for full content below-
Drag the numbers below to put them in order from least to greatest
2.2, 2.276, 2.291, 2.14, 2.26, 2.221
Kiara has $250 in her bank account. Each week she deposits $80 and withdraws $35. Gael has $310 in his account. Each week he deposits $95 and withdraws
$20. Write and solve an equation to determine the week w when Gael and Kiara have the same amounts of money in their account
The equation to determine the week w when Gael and Kiara have the same amounts of money in their account is 45w + 250 = 75w + 310
What is an equation?An equation is used to show the relationship between numbers and variables. An equation can be linear, quadratic depending on the degree.
Let w represent the number of weeks.
For Kiara:
Money in account = (80 - 35)w + 250 = 45w + 250
For Gael:
Money in account = (95 - 20)w + 310 = 75w + 310
For both to have same amount of money:
45w + 250 = 75w + 310
The equation to determine the week w when Gael and Kiara have the same amounts of money in their account is 45w + 250 = 75w + 310
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Part A: Rhett made $250 washing cars with his mobile car wash company. He charges $70 per car and earned $50 in tips. Write an equation to represent this situation. (4 points)
Part B: Scarlett made a profit of $250. 00 with her mobile car wash company. She charged $75. 00 per car wash and received $35. 00 in tips, but also had to pay $5. 00 in cleaning supplies per car wash. Write an equation to represent this situation. (4 points)
Part C: Explain how the equations from Part A and Part B differ. (2 points)
The equation for Rhett's Situation is 70x + 50 = 250 and the equation for Scarlett's Situation is 70x + 35 = 250. In Rhett's case equation their is no expense per car wash but in case of Scarlett' equation their is expense of $5 per car wash.
Total amount earned by Rhett = $250
Let the number of cars Rhett washed = x
Rhett charges $70 per car and earned $50 in tips. So, we can write
Total amount earned by Rhett = 70x + 50
On comparing total amount earned by Rhett, we get
70x + 50 = 250
The equation for Rhett's Situation is 70x + 50 = 250.
Total amount earned by Scarlett = $250
Let the number of cars Scarlett washed = x
Scarlett charges $75 per car wash and earned $35 in tips but also had to pay $5. 00 in cleaning supplies per car wash.. So, we can write
Total amount earned by Scarlett = 75x + 35 - 5x = 70x +35
On comparing total amount earned by Scarlett, we get
70x + 35 = 250
The equation for Scarlett's Situation is 70x + 35 = 250.
In Rhett's case equation their is no expense per car wash but in case of Scarlett' equation their is expense of $5 per car wash.
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keiko's coffee shop makes a blend that is a mixture of two types of coffee. type a coffee costs keiko $5.35 per pound, and type b coffee costs $4.05 per pound. this month, keiko made 166 pounds of the blend, for a total cost of . how many pounds of type b coffee did she use?
Keiko used 83.5 pounds of type A coffee and 82.5 pounds of type B coffee in the blend.
What exactly are algebraic expressions?
An expression constructed using integer constants, variables, and algebraic operations is known as an algebraic expression
Given:
Type A coffee cost $5.35 per pound
Type B Coffee cost $4.05 per pound
Keiko made total 166 pound of the blend of $780.85
Therefore,
[tex]5.35x + 4.05y = 780.85 \;\;\;\;\; -------equation (1)[/tex]
[tex]x + y = 166 \;\;\;\; ---------equation (2)[/tex]
simplify the equation (2),
[tex]y = 166-x[/tex]
Substitute the value of y in equation (1),
[tex]5.35x + 4.05 (166-x) = 780.85[/tex]
[tex]5.35x + 672.3 - 4.05x = 780.85[/tex]
[tex]5.35x-4.05x=780.85-672.3[/tex]
[tex]1.3x=108.55[/tex]
Therefore,
[tex]Total\;pound\;of\;type\;A\;coffee\;is,\;x=83.5\;pounds[/tex]
Substitute the value of x in equation (2),
[tex]y=166-83.5[/tex]
Therefore,
[tex]Total\;pound\;of\;type\;B\;coffee\;is,\;y=82.5\;pounds[/tex]
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Previous
5
Question
Find −115+(−35). Write your answer as a fraction in simplest form.
Answer:-150
Step-by-step explanation:
Step 1: Solve all the integers.
−115-35
Step 2: Add the numbers and keep the negative sign.
-150
Hope this helps!!
P.S: It as a fraction is the same thing as it being in decimal from lol.
Practice
1 Use the figures shown to complete parts a th
a Describe the sequence of translations used to move Figure 1 onto Figure 2
b. Determine the coordinates of the image of Figure 1 if it is translated 1 unit horizontally
and 8 units vertically
c Explain how you determined the coordinates part (b)
a Verify your answer to part (b) by graphing the image Label it Figure 3
2 Use a coordinate plane to complete parts (a) through (d)
a Plot the given points and connect them with straight lines in the order in which they are given.
Connect the last point to the first paint to complete the figure Label the figure A
(-3-6) (-3-3), (0, 0), (3-3) (3, -61, (0-3)
b Translate the figure in part (a)-3 units vertically Lebel the image B
e Translate the figure in part (a) 6 units vertically and 3 units horizontally Label the image C
d. Translate the figure in part (a)-3 units horizontally and 6 units vertically Labei the image D
Answer:
connect the last point to the first point to complete the question
translate the figure in part
translate the figure in part 3 units horizontal y and 6 units vertically
Step-by-step explanation:
Answer:
Step-by-step explanation:
The lengths of the three sides of a triangle (in centimeters) are consecutive odd
integers. If the perimeter is 45 centimeters, find the value of the shortest of the three
side lengths.
Answer:
13, 15,17
Step-by-step explanation:
Let x = the first number
Let x + 2 = the second number
Let x + 4 = the third number
Consecutive means in order like 1,2,3 or 20,21,22. Consecutive odd means that you want three numbers in order that are odd. Each number would be 2 more than the number before. For example 5 + 2 = 7. We would have to add 4 to 5 to find the next consecutive odd number.
x + (x + 2) + (x +4) = 45 I put the numbers in parentheses so you could see the first number plus the second number plus the third number equals 45
x + x+ 2 + x+ 4 = 45 Combine like terms
3x + 6 = 45 Subtract 6 from both sides of the equation.
3x = 39 Divide both sides by 3
x = 13
Add 2 to that to get the next odd number.
Add 4 to 13 to get the third odd number.
Answer: 13 cm
Step-by-step explanation:
Let the value of the shortest of the three side lengths is x.
Since the three sides of a triangle are consecutive odd
integers, hence: x, x+2, x+4.
Thus,
[tex]P=x+(x+2)+(x+4)\\45=x+x+2+x+4\\45=3x+6\\45-6=3x+6-6\\39=3x\\[/tex]
Divide both parts of the equation by 3:
[tex]13\ cm=x[/tex]
Find the coordinate of the midpoint of the segment with the given endpoints.
-6 and -4
The coordinate of the midpoint of the segment with the given endpoints is (-1, 0)
Midpoint of a lineThe midpoint of a line is the point that divides the line into two equal parts.
The formula for calculating the midpoint is expressed as;
M(x, y) = (x₁+x₂/2, y₁+y₂/2)
Using the coordinate points (-6, 0) and (-4, 0)
M(x, y) = -6+(-4)/2
M(x, y) = -2/2
M(x, y) =-1
Hence the coordinate of the midpoint of the segment with the given endpoints is (-1, 0)
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