Answer:2.6
Small
Step-by-step explanation:
Answer:
2.6 and the variation is small
Step-by-step explanation:
u welcome
Which equation is equivalent to f(x) = -3(x-2)2 + 14?
The given function f(x) = -3(x-2)^2 + 14 is a quadratic equation shown in vertex form. To find an equivalent equation in standard form or solve for its roots, one can expand and simplify or use the quadratic formula with the appropriate coefficients.
The equation f(x) = -3(x-2)^2 + 14 is a quadratic equation in vertex form. In standard form, a quadratic equation is represented as at^2 + bt + c = 0. To express f(x) in this standard form, we simply need to expand the squared term and simplify. The given equation already shows that the parabola has been reflected vertically due to the negative sign before the coefficient of the squared term, and it is shifted 2 units to the right and 14 units up from the origin.
Transformations of the independent variable such as multiplying by a constant or adding a number, like in f(2x) or f(-2x), will affect the graph of the quadratic function. They result in horizontal scaling or reflection, while transformations like f{-2(x+1)} involve horizontal shifting.
To solve a quadratic equation that is set equal to zero, we can use the quadratic formula, which employs the coefficients a, b, and c. As an example, for a quadratic equation with constants a = 4.90, b = 14.3, and c = -20.0, the roots can be found through this formula.
Complete the square to determine the minimum or maximum value of the function defined by the expression.
−x2 − 4x + 15
8 + 8 hshshdhhdhfbfbcbcbcbcbcbbxbxbxbxbcbcbcb
Answer:
16
Step-by-step explanation:
8+8=16
Determine the combined momentum of two objects. Object B has a
momentum of +22 kg.m/s and Object A has momentum of +20
kg. m/s.
_kg. m/s.
Answer:
42 kg.m/s.
Step-by-step explanation:
Just add them:
= 22 + 20 = 42 kg. m/s.
The combined momentum of Object A with +20 kg.m/s and Object B with +22 kg.m/s is +42 kg.m/s, as both are moving in the same direction and there is no need to account for direction beyond the sign.
Explanation:To determine the combined momentum of two objects, we simply need to add their individual momentums together, provided that they are moving in the same direction or dimension. In this case, Object B has a momentum of +22 kg.m/s and Object A has a momentum of +20 kg.m/s. Since both momentums are positive, they are both in the same direction (presumably the +x-direction). The combined momentum is the sum of the two:
Combined momentum = Momentum of Object A + Momentum of Object B
Combined momentum = +20 kg.m/s + +22 kg.m/s = +42 kg.m/s
The combined momentum of the two objects is +42 kg.m/s.
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The more you take, the more you leave behind. What am I?
brainliest for right answer
Answer:
Footsteps
Step-by-step explanation:
Answer:
Footsteps.
Step-by-step explanation:
You walk more and more and eventually those footsteps from previous are left behind.
(My dad told me this as a moral lesson when I was young.)
P.S
Have a Amazing Day!
Faker/Tosrel
Priya is making flyers for a school play. She needs to make 150 flyers total. She has already made 40 flyers. How many more flyers does Priya have left to make?
Answer:
110
Step-by-step explanation:
subtract 40 from 150
Answer:
Step-by-step explanation: So She already 40 out of 150
flyers made. So subtract 150 minus 40 and you get 110. So the answer is 110 flyers she has left to make
What are 3 other points that take you to the same location as (6, -4pi/3)
Answer:
P1 (6, 2/3 π)
P2 (6, 10/3 π)
P3 (6, 14/3 π)
Step-by-step explanation:
To find the other three points you take into account that if you sum 2π to one coordinate you have the same point.
Hence, by adding 2π to -4π/3, and again other two times:
[tex]-\frac{4}{3}\pi+2\pi=\frac{2}{3}\pi\\\\\frac{2}{3}\pi+2\pi=\frac{8}{3}\pi[/tex]
[tex]\frac{8}{3}\pi+2\pi=\frac{14}{3}\pi[/tex]
hence, the other two points are
P1 (6, 2/3 π)
P2 (6, 10/3 π)
P3 (6, 14/3 π)
A bag contains 39 coins consisting of quarters and nickels the total value of the coins is $6.35 which system of equation can be used to used to determine the number of quarters Q and the number of nickels n In the bag
Answer:
The system of equation to determine the quantity of nickels and quarters is simultaneous equation.
Nickels = 17
Quarters = 22
Step-by-step explanation:
Given
Let n represent number of nickels
Let q represent number of quarters
From line 1 of the question, we understand that
Total coins = 39
So, n + q = 39 because the made up of the nickels and the quarters
It's also stated that the total value of these 39 coins is $6.35.
First, it should be noted that
1 nickel is worth 0.05 and 1 quarter is worth 0.25, we can represent the total value of the coins with the following equation
0.05n + 0.25q = 6.35
At this point, we have two equation such can be solved simultaneously
n + q = 39 ------- (1)
0.05n + 0.25q = 6.35 ------- (2)
So, the system of equation to determine the quantity of nickels and quarters is simultaneous equation.
Solving further.....
Make q the subject of formula in equation (1)
q = 39 - n
Substitute 39 - n for q in equation 2
0.05n + 0.25q = 6.35 becomes
0.05n + 0.25(39 - n) = 6.35
0.05n + 9.75 - 0.25n = 6.35
Collect like terms
0.05n - 0.25n = 6.35 - 9.75
-0.2n = -3.4
Divide through by -0.2
-0.2n/-0.2 = -3.4/-0.2
n = 17
Recall that q = 39 - n
Substituton 17 for n in this equation
q = 39 - 17
q = 22
Hence, there are 17 nickels and 22 coins
If you have a box of marbles with 3 red, 2 yellow, 2 blue and 3 purple marbles and you will randomly pick a marble from the box, what is the probability of NOT picking a purple marble?
Answer:
7 over 10
Step-by-step explanation:
add up the marbles then subtract the purple marbles and put it over ten and you get 7/10
A juice box made of cardboard measures 4 inches by 1 inch by 2 inches. How much cardboard was used to make this juice box?
8 in
28 in
D)
28 in
Answer:
8 inches
Step-by-step explanation:
4 times 1 times 2 equals 8
Answer:
8
Step-by-step explanation:
4*2*1
The area of each of the bases will be m2.
The area of the right and left lateral faces will be m2.
The area of the front and back lateral faces will be m2.
The lateral area of the prism will be m2.
The surface area of the prism is 22 m2.
Answer:
The area of each of the bases will be m2 answer; (1)(3)=3
The area of the right and left lateral faces will be m2. answer; (1)(2)=2
The area of the front and back lateral faces will be m2. answer; (2)(3)=6
The lateral area of the prism will be m2. answer ; 16
Step-by-step explanation:
Area of each bases = 3 m²
Area of the right and left lateral faces = 2 m²
Area of the front and back lateral faces = 6 m²
Lateral area = 16 m²
Surface area of the rectangular prism = 22 m²
What is the lateral Area of a Rectangular Prism?Lateral area = 2(l + w)h
What is the Surface Area of a Rectangular Prism?Surfacea area = 2(wl+hl+hw)
We are given a rectangular prism that has the following dimensions:
Length (l) = 1 m
Width (w) = 3 m
Height (h) = 2 m
Area of each bases = l × w = 1 × 3 = 3 m²
Area of the right and left lateral faces = 1 × 2 = 2 m²
Area of the front and back lateral faces = 2 × 3 = 6 m²
Lateral area of the rectangular prism = 2(l + w)h = 2(1 + 3)2 = 16 m²
Surface area of the rectangular prism = 2(wl+hl+hw) = 2(3 × 1 + 2 × 1 + 2 × 3) = 22 m²
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2.5 x 10^6 in standard form
Please help I will give brainliest
The area of Brian's cake's top = base x height
= 13 x 9
= 117 square inches
Area of Nancy's cake's top = [tex]\frac{1}{2\\}[/tex] x base x height
= [tex]\frac{1}{2}[/tex] x 15 x 12
= 6 x 15
= 90 square inches
Therefore, Brian's cake's top has a greater area than Nancy's.
Answer:
Brian's parallelogram-shaped cake top had the greater area. It was 27 in² greater than Nancy's cake top.
Step-by-step explanation:
To find the area of a parallelogram, use the formula A = b × h, where A is the area, b is the base and h is the height. Substitute the base and height into the equation.
A = 13 × 9
Then work out the equation to get:
117 = 13 × 9
This means that Brian's cake top has an area of 117 in².
Next, find the area of a triangle using the formula A = [tex]\frac{bh}{2}[/tex], where A is the area, b is the base, and h is the height. Substitute the base and height into the equation.
A = [tex]\frac{15*12}{2}[/tex]
The * symbol means the same as multiply.
Then work out the equation to get:
180 = [tex]\frac{15*12}{2}[/tex]
This means that Nancy's cake top has an area of 90 in².
We can see that Brian's cake top has a greater area than Nancy's already, but to find out how much greater, just subtract 90 from 117:
117 - 90 = 27
Hence, Brian's cake top has a greater area of 27 in².
Find 20% of 40. A. 8 B. 2 C. 0.5
Answer:
A)8
Step-by-step explanation:
10 percentage is 4 (to get this you have to do 40/10)
so 20 percentage is 8 (4*2)
Answer: 8
Multiply 20%×40 and get 8
Simplify the expression.
−3(n + 9) = 3
The solution is n = ______.
Answer: n = -10
Step-by-step explanation:
-3(n+9) = 3
-3n - (-27n) = 3
-30n = 3
n = -10
Answer:
n = -10
Step-by-step explanation:
Distribute -3 to n and 9. This makes -3n - 27 = 3. Add 27 to both sides, giving you -3n = 30. Divide -3 from both sides. This makes n = -10.
Use the information to write an equation with variables on both sides. Let x represent Kim’s age.
Bob is 4 years older than twice Kim’s age.
Paul is 1 year younger than 3 times Kim's age.
Bob and Paul are the same age.
Which equation can be used to determine Kim’s age, x, from the information about Bob and Paul?
4x + 2 = 3x + 1
4x + 2 = 3x + (–1)
2x + 4 = 3x + 1
2x + 4 = 3x + (–1)
Hey! I hope this helps!
Answer:2x + 4 = 3x+ (-1)
Option D)
Step-by-step explanation:We are given the following in the question:
Let x represent Kim's age
"Bob is 4 years older than twice Kim's age"
Thus, Bob's age =
4 + 2x years
"Paul is 1 year younger than 3 times Kim's age."
Thus. Paul's age is
(3x - 1) years
If Bob's age and Paul's age is equal, we can write:
2x + 4 = 3x + (-1)
Thus, the required expression is
2x + 4 = 3x + (-1)Option D)
Option D! 2x + 4 = 3x + (-1)The equation can be used to determine Kim’s age will be 2x + 4 = 3x + (–1). Then the correct option is D.
What is the linear system?A linear system is one in which the parameter in the equation has a degree of one. It might have one, two, or even more variables.
Use the information to write an equation with variables on both sides. Let x represent Kim’s age.
Bob is 4 years older than twice Kim’s age. Then the age of the Bob will be in terms of x.
B = 2x + 4
Paul is 1 year younger than 3 times Kim's age. Then the age of the Paul will be in terms of x.
P = 3x – 1
Bob and Paul are the same age.
B = P
Put the value of B and P, then we have the equation will be
2x + 4 = 3x – 1
2x + 4 = 3x + (–1)
Then the correct option is D.
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What is the surface area of the cylinder with height 2 m and radius 7 m? Round your answer to the nearest thousandth.
Answer:
395.841
Step-by-step explanation:
2 \pi r^2 = 2 \pi(7\text{ m})^2\approx
2πr
2
=2π(7 m)
2
≈
\,\,307.87608\text{ m}^2
307.87608 m
2
Top and bottom circles
\underline{+\ bh = (2 \pi \ 7\text{ m})(2\text{ m})}\approx
+ bh=(2π 7 m)(2 m)
≈
\,\,\underline{87.964594\text{ m}^2}
87.964594 m
2
The side is a rectangle with base = circumference
\text{Add them up:}\phantom{=}
Add them up:=
\,\,395.840674\text{ m}^2
395.840674 m
2
Final answer
\approx
≈
\,\,395.841\text{ m}^2
395.841 m
2
Round
The surface area of the cylinder is 396 m²
What is a cylinder?A cylinder has traditionally been a three-dimensional solid, one of the most basic of curvilinear geometric shapes.
Given that, A cylinder with height 2 m and radius 7 m, we are asked to find its surface area.
The surface area of a cylinder is given by = 2πr(h+r)
= 2×3.14×7(7+2)
= 396
Hence, the required surface area is, 396 m²
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Factor completely.
-5x2y + 10xy - 15xy2
Answer:
5xy*(3y+2)
Step-by-step explanation:
(1): "y2" was replaced by "y^2".
Step by step solution :
Step 1 :
Equation at the end of step 1 :
10xy + (3•5xy2)
Step 2 :
Step 3 :
Pulling out like terms :
3.1 Pull out like factors :
15xy2 + 10xy = 5xy • (3y + 2)
Final result :
5xy • (3y + 2)
Answer:
−5xy(x+3y−2)
Step-by-step explanation:
Factor
−5xy out of −5x2y+10xy−15xy2.
PLEASE SHOW YOUR WORK!! I WILL MAKE YOU BRAINLISET!! ASAP!!
Frazer spent some time building a wall with 650 bricks in. On the first day, he managed to lay 243. He got more and more tired each day and only managed to lay 2/3 of the number of as the day before. How many days did it take him to build the wall?
Captain Salamander is also building a wall with 650 bricks in it. On the first day, he manages to lay 180 bricks. He also gets tired each day and lays 22 fewer bricks than the day before. Who builds the wall before.
You can make a chart with 6 days, Frazer bricks layed, Frazer total number, Captain bricks layed, captain total number.
SHOW YOUR WORK! I WILL MAKE YOU BRAINLIEST!!
Answer:
1) 6 days
2) Captain Salamander
Step-by-step explanation:
1) a = 243
r = ⅔
Sn = 650
650 = 243[(⅔)^n - 1]/(⅔ - 1)
(⅔)^n = 79/729
n ln(2/3) = ln(79/729)
n = 5.480683381
2) a = 180
d = -22
S5 = (5/2)[2(180) + 4(-22)]
S5 = 680 > 650
Captain Salamander is done within 5 days
Hence table for 6 days states
days Frazer Captain Salamander
1 243 180
2 2/3*243=162 180-22=158
3 2/3*162=108 158-22=136
4 2/3*108= 72 136-22=114
5 2/3*72=48 114-22=92
6 2/3*48=32 92-22=70
Total 665 614
what is word problem?
A word issue is the challenge of determining if two supplied expressions are comparable with respect to a set of rewriting identities in computer mathematics. The word problem for groups is a classic example, although there are numerous other examples.
How to solve?
Given two people frazer and Captain Salamander who have to lay bricks but get tired after every round
for farzer speed is 2/3 of bricks every time
and Captain salamander has speed of 22 tiles less in every round hence equation becomes - 2/3 previous day
and for captain Salamander it is previous day-22
hence table becomes
days Frazer Captain Salamander
1 243 180
2 2/3*243=162 180-22=158
3 2/3*162=108 158-22=136
4 2/3*108= 72 136-22=114
5 2/3*72=48 114-22=92
6 2/3*48=32 92-22=70
Total 665 614
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What is the radius of this circle?
A)
1.5 cm
B)
3 cm
C)
3.14 cm
D)
6 cm
Answer:B
Step-by-step explanation:
Answer:
3cm
Step-by-step explanation:
Diameter (2r)= 6cm.
Radius, r= 6/2 = 3 cm
i need help with these three questions someone help me please what are these shapes called
Answer:
The first shape is called (I don't know)
The second shape is called Icosahedron
The thrid shape is called Octahedron
Step-by-step explanation:
Carlitos rents a limousine for the night. The limo costs $625 and $0.15 for each mile driven
If Carlitos has a budget of $600 for the limo rental, what is the largest number of miles the
limousine can travel?
Answer: 40 miles
Step-by-step explanation:
Divide 600 by 15 and you get 14
Answer:
4 miles
Step-by-step explanation:
0.15 divided by 600 is 4000 miles.
(don't count the limo cost, just count the mile driven)
Can someone please help me
Answer:
with what
Step-by-step explanation:
tell me i think i can help
Solve for t
T+20.04=14.3
Answer:
T= -5.74
Step-by-step explanation:
Please Help Me!
A paint can has a radius of 4inches and a height of 15 inches. What is the volume of the paint can? Round to the nearest tenth. Use 3.14 for pi.
Answer:
63
Step-by-step explanation:
4*15=60 60*3.14=188.4 188.4*1/3= 62.8 rounded that would be 63
Please provide steps with answers
Answer:
it's answer is 36 inch ²
Hope it will help as I have my answers with picture.
Answer:
Step-by-step explanation:
You multiply 2 times 11 and then you multiply 9 times 2 then you multiply the answers I think sorry I am not that useful
What are the solutions to the quadratics equation 2x+ + 6x – 20 = 1
WILL MARK BRAINLIEST! LOTS OF POINTS!
See the attached picture.
I need help with 27 and 28 show step and round to nearest tenth
Answer:
#27: 56 ft squared #28: 32.85 ft squared
Step-by-step explanation:
Hope this helped! Please rate it if this helped!
Choose the correct simplification of 9x2(4x + 2x2 − 1).
Answer:
72X + 54
Step-by-step explanation:
Answer: The answer is, 18x4 + 36x3 − 9x2