4.1 by the power of 2
Answer:
16.81
Step-by-step explanation:
That's basically just 4.1×4.1
Who drove faster?
Dan drives 60 miles in 5 hours.
David drives 75 miles in 6 hours.
Answer:
david drove faster than dan bcz
Answer:
David drove faster
Step-by-step explanation:
Dan - 60m/5h = 12 miles an hour
David - 75m/6h = 12.5 miles an hour
Therefore David drove faster.
What is the value of x + y
[tex]\begin{cases}2x+3y=12\\2x-2y=2\end{cases}\\ --------(-)\\2x-2x+3y-(-2y)=12-2\\\\5y=10\quad|:5\\\\\boxed{y=2}\\\\\\2x-2y=2\quad|:2\\\\x-y=1\\\\x=1+y\\\\x=1+2\\\\\boxed{x=3}[/tex]
so:
x + y = 5
what is the LCM for 3 and 8
Answer: The LCM of 3 and 8 is 24.
Step-by-step explanation:
So far, the given two numbers are 3 and 8. We have to find the LCM ( Least Common Multiple ) of 3 and 8, not the GCF ( Greatest Common Factor). That means, we have to find the smallest multiple of 3 and 8.
Let's try it out.
3 times 1 = 3. Is that a multiple of eight? No.
3 times 2 = 6. Is that a multiple of eight? No.
3 times 3 = 9. Is that a multiple of eight? No.
3 times 4 = 12. Is that a multiple of eight? No.
3 times 5 = 15. Is that a multiple of eight? No.
3 times 6 = 18. Is that a multiple of eight? No.
3 times 7 = 21. Is that a multiple of eight? No.
3 times 8 = 24. Is that a multiple of eight? YES!
Now try it out for 8.
8 times 1 = 8. Is that a multiple of three? No.
8 times 2 = 16. Is that a multiple of three? No.
8 times 3 = 24. Is that a multiple of three? YES!
So now that 24 occurs in the list for both of them, it is the LCM because there are no other numbers that come before it that are multiples of both 3 and 8.
The LCM of 3 and 8 is 24.
What is the LCM for 3 and 8?The LCM (Least Common Multiple) of two numbers is the smallest number that is a multiple of both numbers.
To find the LCM of 3 and 8, we can use the following steps:
1. List out the multiples of 3 until we reach a number that is divisible by 8.
2. List out the multiples of 8 until we reach a number that is divisible by 3.
3. The smallest number that appears in both lists is the LCM of 3 and 8.
The multiples of 3 are 3, 6, 9, 12, 15, 18, 21, 24, 27...
The multiples of 8 are 8, 16, 24, 32 ...
The smallest number that appears in both lists is 24. Therefore, the LCM of 3 and 8 is 24.
Learn more about LCM on:
https://brainly.com/question/29231098
#SPJ6
divide the sum of 3/8 and -5/12 by the reciprocal of -15/8×16/27
Answer:
757
Step-by-step explanation:
Answer:
Step-by-step explanation:
Sum of 3/8 and -5/12:
Least common denominator of 8 & 12 = 24
[tex]\frac{3}{8}+\frac{-5}{12}=\frac{3*3}{8*3}+\frac{-5*2}{12*2}\\\\\\=\frac{9}{24}+\frac{-10}{24}\\\\\\=\frac{-1}{24}[/tex]
Finding -15/8 * 16/27:
[tex]\frac{-15}{8}*\frac{16}{27}=\frac{-5*2}{1*9}=\frac{-10}{9}[/tex]
Reciprocal of -10/9 = -9/10
-1/24 ÷ -9/10 = [tex]\frac{-1}{24}*\frac{-10}{9}=\frac{1*5}{12*3}[/tex]
= [tex]\frac{5}{24}[/tex]
Which statement accurately represents to
between pressure and volume?
As pressure increases, volume increa
As pressure decreases, volume decri
As pressure increases, volume decre
Answer:
As pressure increases, volume decreases.
Hope this answer correct :)
Answer:
As pressure increases, volume decreases
Step-by-step explanation:
like the other person said i agree with him or her because i just do :)
The quantities xxx and yyy are proportional. xxx yyy 111111 1\dfrac{2}{9}1 9 2 1, start fraction, 2, divided by, 9, end fraction 212121 2\dfrac{1}{3}2 3 1 2, start fraction, 1, divided by, 3, end fraction 454545 555
Answer:
The constant of proportionality is 1/9
Answer:
The answer is actually 3
Step-by-step explanation:
The two triangles are drawn to scale, so we can use the scale factor of \maroonD{1\dfrac{1}{2}}1
2
1
start color #ca337c, 1, start fraction, 1, divided by, 2, end fraction, end color #ca337c to find \greenD{x}xstart color #1fab54, x, end color #1fab54.
Hint #22 / 3
\begin{aligned} [\blueD{\text{length on A}}] \cdot [\maroonD{\text{scale factor}}] &= [\greenD{\text{length on B}}]\\\\ \blueD{2}\cdot \maroonD{1\dfrac{1}{2}}&=\greenD{x} \\\\ \greenD{3}&=\greenD{x} \end{aligned}
[length on A]⋅[scale factor]
2⋅1
2
1
3
=[length on B]
=x
=x
which equals 3
Which of the following steps can be performed so that the square root property may easily be applied to 2x2=16? The square root property requires a quantity squared by itself on one side of the equation. The only quantity squared is x, so divide both sides by 2 before applying the square root property. The square root property requires a quantity squared by itself on one side of the equation. The only quantity squared is 16, so divide both sides by 2 before applying the square root property. The square root property requires a quantity squared by itself on one side of the equation. The only quantity squared is 16, so divide both sides by 16 before applying the square root property. The square root property requires a quantity squared by itself on one side of the equation. The only quantity squared is x, so divide both sides by 16 before applying the square root property.
Answer:
The square root property requires a quantity squared by itself on one side of the equation. the only quantity squared is x, so divide both sides by 2 before applying the square root property.
Step-by-step explanation:
To solve the given equation of 2x^2=16, the first step is to divide both sides by two to isolate the variable x. This leaves you with x^2=16. the next step would be to use the square root property, leaving the equation as x= 16 squared. then solve for x by squaring 16. This leaves it as x= 4 or -4
Answer:
A
Step-by-step explanation:
Just took the test
What is the relationship between two lines whose slopes are −8 and 1 8 ?
Answer:
They are perpendicular lines
Step-by-step explanation:
If one line has slope -8 and the other one has slope 1/8, they must be perpendicular to each other because the condition for perpendicular lines is that the slope of one must be the "opposite of the reciprocal of the slope of the original line."
the opposite of -8 is 8 , and the reciprocal of this is 1/8
Answer:
Below
Step-by-step explanation:
Let m and m' be the slopes of two different lines.
These lines are peependicular if and only if:
● m×m' = -1
Notice that:
● -8 ×(1/8) = -1
So the lines with the respectives slopes -8 and 1/8 are perpendicular.
Find em when em = 7x and the midpoint is m and mg = 8x-6
Answer:
EM = 42
Step-by-step explanation:
If M is the midpoint, then we can say that EM = MG.
So now, I can set up an equation:
7x = 8x - 6
And solve for x.
7x = 8x - 6
-8x -8x
-x = -6
x = 6
Since we are trying to find EM, and EM is 7x, we can multiply x by 7 to find our answer:
7x
7(6)
42
EM = 42
Point I is on line segment HJ. Given HI = x, IJ = 2x + 9, and
HJ = 4x, determine the numerical length of IJ.
Answer:27
Step-by-step explanation:
The numerical length of IJ is 27 units.
What is a line segment?A line segment in geometry is a section of a line that has two clearly defined endpoints and contains every point on the line that lies within its confines.
Given that Point, I is on line segment HJ. Given HI = x, IJ = 2x + 9, and
HJ = 4x.
The total length of the line will be written as below:-
HJ = HI + IJ
4x = x + 2x + 9
4x = 3x + 9
4x - 3x = 9
x = 9
The length of the segment IJ will be:-
IJ = 2x + 9
IJ = ( 2 x 9 ) + 9
IJ = 18 + 9
IJ = 27
Therefore, the numerical length of IJ is 27 units.
To know more about line segments follow
https://brainly.com/question/2437195
#SPJ2
solve ; 7/x-3/2x+7/6=9/x
Answer:
x = 3
Step-by-step explanation:
7/x - 3/(2x) + 7/6 = 9/x
x(7/x - 3/(2x) + 7/6) = x(9x)
x*7/x - 3*x/(2x) + x*7/6 = x*9x
7 - 3/2 + 7x/6 = 9
7x/6 = 9 - 7 + 3/2
7x/6 = 2 + 3/2
7x/6 = 12/6 + 9/6
7x = 12+9
7x = 21
x = 21/7
x = 3
probe:
7/3 - 3/(2*3) + 7/6 = 9/3
14/6 - 3/6 + 7/6 = 3
(14 - 3 + 7) / 6 = 3
18/6 = 3
water flows into a tank 200m by 150m through a rectangular pipe 1.5m by 1.25m at 20kmph. in what time (in minutes) will the water rise by 2 meters
Answer:
Volume required in the tank (200 × 150 × 2)m3. therefore, required time= (6000/625)= 96 min.
Help. What does 4^5×4^7=
[tex]4^5\cdot4^7=4^{5+7}=16,777,216[/tex].
Hope this helps.
The order of the matrix B is 4 × 5, the order of the matrix D is 4 × 2 and the size of the matrix E is 5 × 4; then the order of the matrix (B^T × D) + ED is: (note that: T stands for transpose)
Answer:
so the order will be 5 x 2
Step-by-step explanation:
When we find the transpose of a matrix we change the rows into columns and columns into rows so the order is also reversed.
The order of B transpose will be reversed i.e. it will 5 x 4.
When we multiply two matrices we check the columns of the first matrix should be equal to the rows of the second matrix and the answer should contain the rows of the first matrix and the columns of the second matrix as the order of the resultant matrix
B^T (5 X 4) X D ( 4 X 2)
B^TD (5 X 2)
Now ED will be
E (5 x 4) D (4 x 2)
ED ( 5 x 2)
Now adding
B^TD (5 X 2) + ED ( 5 x 2) = (B^T × D) + ED ( 5 x 2)
In addition the order does not change.
Find the difference between 3/4 and 1/2
Answer:
¼
Step-by-step explanation:
[tex] \frac{3}{4} - \frac{1}{2} \: \\ lcm = 4[/tex]
[tex] \frac{3}{4} - \frac{1}{2} \\ - - \: \: 3 - 2 - - - \\ 4 \\ \frac{3 - 2}{4} [/tex]
[tex] \frac{1}{4} [/tex]
Evaluate the following expression:
25x(x - 4) when x = -1
Given the midpoint (5,8) and that one of the endpoints is (-2. 6), find the other endpoint
of the segment.
Answer:
(12, 10 )
Step-by-step explanation:
Given the endpoints of a segment (x₁, y₁ ) and (x₂, y₂ ) then midpoint is
[ [tex]\frac{1}{2}[/tex](x₁ + x₂ ), [tex]\frac{1}{2}[/tex](y₁ + y₂ ) ]
let (x, y) be the coordinates of the other endpoint then use the midpoint formula and equate to the coordinates of the midpoint.
(x₁, y₁ ) = (- 2, 6) and (x₂, y₂ ) = (x, y), then
[tex]\frac{1}{2}[/tex](- 2 + x) = 5 ( multiply both sides by 2 )
- 2 + x = 10 ( add 2 to both sides )
x = 12
[tex]\frac{1}{2}[/tex](6 + y) = 8 ( multiply both sides by 2 )
6 + y = 16 ( subtract 6 from both sides )
y = 10
Thus
The other endpoint is (12, 10 )
Answer:
(12, 10 )
Step-by-step explanation:
Given the endpoints of a segment (x₁, y₁ ) and (x₂, y₂ ) then midpoint is
[ (x₁ + x₂ ), (y₁ + y₂ ) ]
let (x, y) be the coordinates of the other endpoint then use the midpoint formula and equate to the coordinates of the midpoint.
(x₁, y₁ ) = (- 2, 6) and (x₂, y₂ ) = (x, y), then
(- 2 + x) = 5 ( multiply both sides by 2 )
- 2 + x = 10 ( add 2 to both sides )
x = 12
(6 + y) = 8 ( multiply both sides by 2 )
6 + y = 16 ( subtract 6 from both sides )
y = 10
Thus
The other endpoint is (12 ,10)
Andrea is selling candles as a fundraiser. She spent $50 on supplies for making the candles. She plans to sell the candles for $10 each. The functions of her revenues can be modeled by C(x) = 10x - 50 What is a reasonable range for the function?
Answer:
A reasonable range for the function is [tex][0, +\infty)[/tex].
Step-by-step explanation:
Revenues are positive quantities since Andrea is looking for money after expenses, so that reasonable range of the revenue function is [tex][0, +\infty)[/tex].
URGENT!!!! Which of the following statements is not true?(1 point) A.) For a complex number written in the form a+bi, the value of a is called the real part of the complex number. B.) A complex number is a number that can be written in the form a+bi where a and b are real numbers. C.) In order for a+bi to be a complex number, b must be nonzero. D.) Every real number is also a complex number.
Answer:
The correct option is;
Non of the above
Step-by-step explanation:
Option A is correct when a + b·i is a complex number, the real part = a and the imaginary part = b
Option B.) For the complex number, a + b·i, a and b are real number
Option C) When a number, a + b·i is a complex number, then b ≠ 0
Option D) Whereby real numbers are numbers of the form a + b·i, where b = 0, therefore, a real number is a complex number with the imaginary part = 0 and every real number is a complex number.
the volume of a cylinder is 308 cm cube with radius 7 cm find the height
Formula :-
Volume of cylinder is π r²h .
Given :-
→ Volume = 308 cm³
→ Radius = 7 cm
Solution :-
→ πr²h = 308
→ π (7)²(h) = 308
→ 22×7×7×h/7 = 308
→ 22×7×h = 308
→ 154×h = 308
→ Height = 308/154
→ Height = 2 cm
So the height of the cylinder is 2 cm .
Solve for x in the simplest form 11=1/2x+8
Answer:
x = 6
Step-by-step explanation:
11 = 1/2x + 8
-> Move 8 to left side
11 - 8 = 1/2x
3 = 1/2x
->We can switch sides so 1/2x is on the left and 3 is on the right
1/2x = 3
x = 3 x 2/1
x = 6
Answer:
x=6
Step-by-step explanation:
11=1/2x+8
subtract 8 from both sides first.
11-8=1/2x
3=1/2x
Now, multiply by 2 or divide by 1/2 from both sides (your pick)
3*2=x
Therefore the answer is x=6
What is the pattern between these numbers 8,7,5,2
HELP! - Water boils at different temperatures at different elevations. The boiling temperature of water is 212F at sea level (0 feet) but drops about 1.72F for every 1,000 feet of elevation. Write a formula for the boiling point at a given elevation. Then solve the formula for the elevation when the boiling point for water is 190F. Determine a formula for the boiling point b, in degrees Fahrenheit, at elevation h, in feet.
Answer:
a. T = -1.72x + 212
b. 12,790 feet
Step-by-step explanation:
a. Let us assume the number of 1,000 elevation feet be x
Now the equation would be
T = -1.72x + 212
here the negative sign represents the fall in the boiling temperature with rise in elevation
b. Since the formula is
T = -1.72x + 212
can we write
T - 212 = -1.72x
now divide by 1.72 in both the sides
[tex]\frac{t-212}{-1.72} = x\\\\ \frac{190-212}{-1.72} = x\\\\ \frac{-22}{-1.72} = x[/tex]
x = 12.79
So in feets it should be
= 12.79 × 1,000 feets
= 12790 feet
Help! I need to solve #17 and the Challenge! The first one to answer, ill will mark as brainliest!
Answer:
16) Anya, Danny, Bridget, Carl.
17) 217.66 bricks
Challenge) 275.65 minutes
Step-by-step explanation:
16) I think you have Anya and Danny reversed. It should be:
Anya, Danny, Bridget, Carl.
17) Bridget can do 60 an hour, Danny 50 an hour, Carl 66 an hour, and Anya 41.66 an hour. 60+50+66+41.66=217.66
Challenge: Anya can do .694444 per minute, Bridget 1 per minute, Carl 1.1 per minute, and Danny .83333 per minute. That makes 3.62777 per minute. 1000 divided by 3.6277777 is 275.65 minutes
In ΔDEF, the measure of ∠F=90°, DE = 8.8 feet, and EF = 6.4 feet. Find the measure of ∠D to the nearest tenth of a degree.
Answer:
46.7 degrees.
Step-by-step explanation:
According to the given information, triangle DEF is a right triangle with angle F as the right angle. We are trying to find the measure of angle D.
We are given the opposite side length (6.4 feet) and the hypotenuse (8.8 feet), so we can use sine to calculate the angle measure (SOH = Sine; Opposite over Hypotenuse).
sin(D) = 6.4 / 8.8
sin(D) = 64 / 88
sin(D) = 8 / 11
D = arcsin(8 / 11)
D = arcsin(0.72727272727272727272727273)
D = 46.65824177.
So, the measure of angle D is about 46.7 degrees.
Hope this helps!
How do you do this problem? See attached image
Answer:
I think the answer is d
Step-by-step explanation: you have to divide both sides by 6
please mark as brainliest
what should be subtracted from 1 to get 1-x+2x2
●✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎❀✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎●
Hi my lil bunny!
❧⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯☙
Amswer : [tex]\boxed { ( x - 2x^2 ) }[/tex]
Well you have to subtract [tex]( x - 2x^2 )[/tex] from [tex]1[/tex] to get [tex]1- x + 2*2^2[/tex]
❧⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯☙
●✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎❀✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎●
Have a great day/night!
❀*May*❀
how do you wirte 15 and 40 in simplest form
Step-by-step explanation:
15 : 40
Both have table of 5 in common
5 : 8
You divide it with valid numbers that can be dividable with both numerator and denominator.
15/40 can be divided by 5 to make it into the simplest form
= 3/8 , now we can no longer divide it, so its the simplest form
What is the product? Five-twelfths times one-third
When you multiply two fractions together, multiply the two top numbers and then multiply the two bottom numbers.
5/12 x 1/3 = (5x1) / (12x3) = 5/36
Answer:
Step-by-step explanation:
[tex]\frac{5}{12}*\frac{1}{3}\\\\\\=\frac{5*1}{12*3}=\frac{5}{36}[/tex]