[tex] \sqrt{128} \\ = \sqrt{2 \times 2 \times 2 \times 2 \times 2 \times 2 \times 2} \\ = \sqrt{ {2}^{2} \times {2}^{2} \times {2}^{2} } \\ = 2 \times 2 \times 2 \\ = 8[/tex]
[tex] \sqrt{48} \\ = \sqrt{2 \times 2 \times 2 \times 2 \times 3} \\ = \sqrt{ {2}^{2} \times {2}^{2} \times 3 } \\ = 2 \times 2 \sqrt{3} \\ = 4 \sqrt{3} [/tex]
[tex] \sqrt{300} \\ = \sqrt{2 \times 2 \times3 \times 5 \times 5} \\ = \sqrt{ {2}^{2} \times 3 \times {5}^{2} } \\ = 2 \times 5 \sqrt{3} \\ = 10 \sqrt{3} [/tex]
Hope you could get an idea from here.
Doubt clarification - use comment section.
write a quadratic equation in standard form.
1. -6 and 4 are solutions
2. 2 and 5 are solutions
1 and 2 are two different problems
Answer:
1. x^2 +2x -24 = 0
2. x^2 -7x +10 = 0
Step-by-step explanation:
If you look at the factored and expanded forms of a quadratic with solutions p and q, you see ...
(x -p)(x -q) = x^2 -(p+q) +pq
The x-term coefficient is the opposite of the sum of solutions.
The constant is the product of solutions.
This knowledge lets you write down the standard form equation with no particular effort.
1. x^2 +2x -24 = 0
2. x^2 -7x +10 = 0
...............................
Step-by-step explanation:
.....................
im stuck step bro #im a guy
Answer:
Well then...
Step-by-step explanation:
Plz help me well mark brainliest only if correct!…
4. The function y=-0.12x + 0.4 represents the percent y in decimal form of
battery power remaining x hours after turning on the laptop.
The slope is BLANK. This means the power is BLANK
by BLANK % per hour.
Please fill in blanks tysm
Answer:
Slope=0.12 power is down by 28%
Step-by-step explanation:
:)
what is 70*77 please help
8. What are the solutions to this system
of equations?
3x + y = -1
2x + y=0
Identify the Nature of the Solution, Show
all work below.
-
Answer:
Below in bold.
Step-by-step explanation:
3x + y = -1
2x + y=0
Subtract to eliminate y:
3x - 2x + y - y = -1 - 0
x = -1
So, substituting for x in the first equation;
3(-1) + y = -1
y - 3 = -1
y = 2.
The solution is the ordered pair (-1, 2).
The system is a pair of straight lines which intersect at the point (-1, 2).
The scale on a map is 2 in. =250 miles. If Toledo and Kansas City are 2.25 in. How far are they apart in real life?
Answer:
281.25 miles
Step-by-step explanation:
2=250
1=125
0.5=62.5
0.25=31.25
250+31.25=281.25
Which of the following quadrants of the standard (x,y) coordinate plane contain points on the graph of the equation 6x – 3y = –9 ?
A. l and lll only
B. l, ll and lll only
C. l, ll and IV only
D. I, II and IV only
E. II, IIIand IV
Using linear function concepts, it is found that the correct option is:
B. l, ll and lll only
A linear function is modeled by:
[tex]y = mx + b[/tex]
In which:
m is the slope.b is the y-intercept.If the slope is positive.
The function goes through quadrants I and III.If the intercept is positive, it also goes through quadrant II.If the intercept is negative, it also goes through quadrant IV.If the slope is negative:
The function goes through quadrants II and IV.If the intercept is positive, it also goes through quadrant I.If the intercept is negative, it also goes through quadrant III.In this problem, the equation is:
[tex]6x - 3y = - 9[/tex]
Placing it into the standard format:
[tex]3y = 6x + 9[/tex]
[tex]y = \frac{6}{3}x + \frac{9}{3}[/tex]
[tex]y = 2x + 3[/tex]
Both slope and intercept are positive, hence, quadrants I, II and III, option B.
You can learn more about linear functions at https://brainly.com/question/16302622
x - y = -4
-5 + 6y = 22
The answer is (-2,2) but i just need to show the work for it so please help with that.
Answer:
(-2, 2).
Step-by-step explanation:
x - y = -4
-5x + 6y = 22 Multiply the first equation by 5:
5x - 5y = -20 Now Add the last 2 equations:
y = 2.
Substitute y = 2 in the first equation:
x - 2 = -4
x = -4 + 2
x = -2.
Answer:
x=1/2, y=9/2. (1/2, 9/2).
Step-by-step explanation:
x-y=-4
-5+6y=22
--------------
y=x-(-4)
y=x+4
-5+6(x+4)=22
-5+6x+24=22
6x+24-5=22
6x+19=22
6x=22-19
6x=3
x=3/6
x=1/2
y=1/2+4=1/2+8/2=9/2.
You are playing a game where you flip 3 coins, if you get all tails you lose $15, for each heads you get $3. What is your expected profit from this game?
Answer:
expected profit=$-3
Step-by-step explanation:
1 tail=-5
1 head=3
3/2=1.5
1.5*3=4.5
1.5*-5=-7.5
4.5-7.5=-3
$-3
I am doing Khan Academy and I'm stuck on a question that said " What is another way to make 4.65 ? "
I learned it at school but I still need help on that Question.
Answer:
[tex]\frac{465}{100}[/tex] or [tex]\frac{93}{20}[/tex]
Step-by-step explanation:
You can always just multiply the by 100/100 to get any number into a fraction form. I am not sure if this is what you were asking, but here you go. Then you can simplify to get 93/20.
Three Snickers bars and two Butterfinger bars contain a total of 23 grams of protein. One Snickers bar and one Butterfinger bar contain a total of 10 grams of protein. How much protein does one Snickers bar contain?
Answer:
.
Step-by-step explanation:
How do you turn a 5:1 ratio into a fraction
Answer:
[tex]\frac{5}{1}[/tex] is the same as 5:1
Convert 4pie/5 to degrees. 135° 144° 216° 225°
[tex]\huge \bf༆ Answer ༄[/tex]
For converting radians to degree, we multiply the value in radian by [tex] \dfrac{180}{π}[/tex]
That is ~
[tex] \sf \dfrac{4 \cancel\pi}{ \cancel5} \times \dfrac{ \cancel{180} \: \: {}^{36} }{ \cancel\pi} [/tex][tex] \sf4 \times 36[/tex][tex] \sf144 \degree[/tex]Help help math straightforward answer ASAP pelsss thanks
Answer:
55 degrees
Step-by-step explanation:
a line is 180 degrees. also, all angles in any triangle add up to 180 degrees. so, find the missing angle in the triangle by 180-30-25=125 degrees. Then to find angle 4, 180-125=55 degrees.
GIVING 25 POINTS
Why won’t you ever have a remainder when dividing decimals?
Answer:
Because it is decimal
Step-by-step explanation:
Decimal do not have remainder
What is the diameter of a circular swimming pool with a radius of 9 feet? Enter only the number
Answer:d=18FT
Step-by-step explanation:
YOUR WELCOM :)
An eight-person relay team completed a race in 96.8 seconds. On average, what was each runner's time?
Answer:
12.1
Step-by-step explanation:
Answer:
12.1 Seconds
Step-by-step explanation:
96.8/8=12.1
Un árbol proyecta una sombra de 24 pies al mismo tiempo que una vara de medir proyecta una sombra de 2 pies encuentre la altura del árbol
write the equation of the line which has the given slope "m" and whivh passes through the given point...
a.(2,10) and m= -4
b.(4,-4) and m=3/2
c.(0,0) and m=3/5
equation of the line which has the given slope "m" and whivh passes through the given point...
a.(2,10) and m= -4
b.(4,-4) and m=3/2
c.(0,0) and m=3/5
the a,b, and c have the same formula
A projectile is thrown upward so that its distance above the ground after t seconds is h = -156 + 510t. What is its maximum height?
For the parabola:
h(t) = -at2 + bt, the maximum occurs at -b/2a
For h(t) = -16t2 + 576t that is -576/(-2)(-16), or -576/32, or 18.
The projectile is at its highest point at 18 seconds.
Karina uses the system of equations below to compare the monthly utility costs in July and December for electricity, x, and natural gas, y. 750x + 17y = 141.61 300x + 30y = 75.90 Karina solves the system using linear combination and arrives at the equation 116y = 96.28. She then solves this equation for y. Which statement explains Karina’s solution? The cost of natural gas is $0.17 per unit. The cost of natural gas is $0.20 per unit. The cost of natural gas is $0.72 per unit. The cost of natural gas is $0.83 per unit.
The correct statement is The cost of natural gas is $0.83 per unit.
The equations representing her utility costs in July and December are known as simultaneous equations. These equations have to be solved jointly in order to determine the cost of electricity and natural gas.
Given the equation gotten by Karina: 116y = 96.28
Where y represent the cost of natural gas
In order to determine the value of y, divide both sides of the equation by 116
y = 96.28 / 116
y = $0.83
To learn more about simultaneous equations, please check: https://brainly.com/question/25875552
50, 60, 72, ...
Find the 8th term.
FREE-POINTS
Find x
x+3=5
Answer:2
Step-by-step explanation:
x+3=5
subtract 3 from both sides
x=5-3
x=2
Answer:
x= 2
Step-by-step explanation:
Sketch the region enclosed by the given curves. Decide whether to integrate with respect to x or y. Then find the area of the region y=4x^2, y=x^2 + 3
Answer:
Step-by-step explanation:
integrate with respect to x
Area is symmetric so will be twice the integral from zero to 1
( I cannot seem to figure out how to make the lower limit negative in this editor)
[tex]A = 2\int\limits^1_0 {(x^2 + 3) - 4x^2} \, dx[/tex])
[tex]A = 2\int\limits^1_0 {-3x^2 + 3} \, dx[/tex]
[tex]A = 6\int\limits^1_0 {-x^2 + 1} \, dx[/tex]
A = 6(-⅓x³ + x)[tex]\left \| {{x=1} \atop {x=0}} \right.[/tex]
A = 6((-⅓(1)³ + (1)) - (-⅓(0)³ + (0)))
A = 6(⅔)
A = 4 units²
The largest lollipop ever made had a mass of 2158.7kg and was made for a festival in Granna, Sweden on July 27, 2003, If a spherical lollipop with radius 2 cm has a mass of 50 g, what was the radius of this giant lollipop?
Answer:
Step-by-step explanation:
Assuming the density is the same for both lollipops, we can calculate what volume is required to make the 2158.7kg the same density of the smaller lollipop.
Small Lollipop
r = 2cm
V=4 /3πr^3
V = 33.51 cm^3
Mass is 50 g in 33.51 cm^3, so the density is:
50g/(33.51 cm^3) = 1.492 g/cm^3
We have 2158.7kg in the larger lollipop. That is 2158700 grams.
Find the volume required to contain 2158700 grams with a density of 1.492 g/cm^3. :
(2158700 grams)/(1.492 g/cm^3) = 1446775 cm^3
V=4 /3πr^3
1446775 cm^3 = (4/3)*π*r^3
r = 70.12 cm
-2x^2 + (y)(x/3); use x= -3, and y = 2
Answer:
-2(x^2+1)
Step-by-step explanation:
1. Divide The Numbers:
-2x^2+2(-3/3)
-2x^2+2(-1)
2. Multiply The Numbers:
-2x^2+2(-1)
-2x^2-2
3. Common Factor:
a. Factor by grouping
-2x^2+2(-3/3)
-2x^2-2
b. Factor by Grouping
-2x^2-2
-2(x^2+1)
-2x^2+(2)(-3/3)
Solution: -2(x^2 + 1)
Solve for q using both equation 1 and 2 question in pic
Answer:
p=1/8 q=3/4
Step-by-step explanation:
-2p+7q=5
-6p+35q=51/2
cancel out a variable
(-5)(-2p+7q=5)
-6p+35q=51/2
10p-35q=-25
-6p+35q=51/2 =
4p=1/2
4p/4=1/2 /4
p=1/8
substitute p=1/8 into one of the equation to find q
-2p+7q=5
-2(1/8)+7q=5
-1/4+7q=5
7q=5+1/4
7q=21/4
q= 21/4 /7
q=3/4
Which inequality matches the graph? A)x >4.B)x < 4.C)x = 4.D)x >_ 4 the line is at bottom of it for d
Answer: D
Step-by-step explanation: less than or equal to 4. graph leads to negative