Answer:12
Step-by-step explanation:
25.4 centimeters per second = 10 inches per second.
Hint: there are 2.54 centimeters in 1 inch.
true or false ?
Answer:
True
Step-by-step explanation:
2.54 centimeters = 1 inch
1 x 10 = 10 inches
2.54 x 10 = 25.4 centimeters
Good luck mate :)
Assume that u⋅v=4, ‖u‖=5, and ‖v‖=3. What is the value of 4u⋅(4u−7v)?
Step-by-step explanation:
It is given that,
[tex]u{\cdot}v=4\\\\|u|=5\\\\|v|=3[/tex]
We need to find the value of [tex]4u{\cdot} (4u-7v)[/tex]
Firstly, we should simplify [tex]4u{\cdot} (4u-7v)[/tex]
[tex]4u{\cdot} (4u-7v)=4u{\cdot} 4u-4u{\cdot} 7v[/tex]
Now using distributive property : x(y-z)=xy-yz
So,
[tex]4u{\cdot} (4u-7v)=4u{\cdot} 4u-4u{\cdot} 7v\\\\=16u{\cdot}u-28{u{\cdot} v}\\\\=16|u|^2-28(u{\cdot}v)\\\\=16\times 5^2-28\times 4\\\\=288[/tex]
So, the value of [tex]4u{\cdot} (4u-7v)[/tex] is 288.
The Allowance for Bad Debts account has a credit balance of 3000 before the adjusting entry for bad debts expense. The company's management estimates that 3% of net credit sales will be uncollectible for the year 2019. Net credit sales for the year amounted to 260000. What is the amount of Bad Debts Expense reported on the income statement for 2019?
Please help a girl out :)
Answer:
1/6
Step-by-step explanation:
I don't know how to use it using a number line sorry
-1/3 - (-1/2)
Two minuses give us a plus
so:
-1/3 + 1/2
make the denominators the same and what you multiply at the bottom you multiply at the top (check online about adding fractions if you don't understand)
so:
-2/6 + 3/6 = 1/6
Round 765,903 to the given place value Thousand
Answer:
770,000?
Step-by-step explanation:
your just rounding
Answer:
766,000
Step-by-step explanation:
Brainliest pleeease
Explain the level of uncertainties involve in concept of probability. The next generation of miniaturized wireless capsules with active locomotion will require two miniature electric motors to maneuver each capsule. Suppose 10 motors have been fabricated but that, in spite of tests performed on the individual motors, 2 will not operate satisfactorily, when placed into a capsule. To fabricate a new capsule, 2 motors will be randomly selected, find the probability that: (i) Both motors will operate satisfactorily in the capsule. (ii) One motor will operate satisfactorily and the other will not.
Answer:
a) the probability that Both motors will operate satisfactorily in the capsule 0.6222
b) the probability that One motor will operate satisfactorily and the other will not is 0.3556
Step-by-step explanation:
Given that;
total number of motors N = 10
number of motors will not operate satisfactory m = 2
number of motors randomly selected n = 2
let X be number of motors will that will not operate successfully
here, X≅Hyper geometric (x; N,n,m)
The probability mass function of x is;
P (X = x)= { m } {N - m }
{x } {n - x}
⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻
{ N }
{ n }
a)
the probability that both motors will operate satisfactorily in the capsule i.e no motor will not operate satisfactory
so
P(X= 0) = { 2 } { 10 - 2 }
{0 } { 2 - 0}
⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻
{ 10 }
{ 2 }
so
P (X = 0) = { 2 } { 8}
{ 0 } { 2 }
⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻
{ 10 }
{ 2 }
p(P= 0)=1×28 / 45 = 28/45 = 0.6222
Therefore the probability that Both motors will operate satisfactorily in the capsule 0.6222
b)
the probability that one motor will operate satisfactorily and the other will not.
P(X=1) = { 2 } { 10 - 2 }
{ 1 } { 2 - 1 }
⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻
{ 10 }
{ 2 }
so
P(X=1) = { 2 } { 8 }
{ 1 } { 1 }
⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻
{ 10 }
{ 2 }
P(X=1) = 2×8 / 45 = 16/45 = 0.3556
Therefore the probability that One motor will operate satisfactorily and the other will not is 0.3556
The area of a rectangle is 56 inches. If the length is 7 inches less than 5 times the width, then find the dimensions of the rectangle
2x+3y=8 9x-3y = 14
solve by substitution
Answer: x=2 and y=4/3
Step-by-step explanation:
To solve by substitution method, you want to solve for one variable, and plug it into the other equation.
Let's solve for y in 2x+3y=8.
[tex]2x+3y=8[/tex] [subtract both sides by 2x]
[tex]3y=8-2x[/tex] [divide both sides by 3]
[tex]y=\frac{8-2x}{3}[/tex]
Now that we have y, we can plug it into the second equation.
[tex]9x-3y=14[/tex] [plug in y]
[tex]9x-3(\frac{8-2x}{3} )=14[/tex] [multiply 3 and y to cancel out the 3]
[tex]9x-(8-2x)=14[/tex] [distribute -1 to 8-2x]
[tex]9x-8+2x=14[/tex] [combine like terms]
[tex]11x-8=14[/tex] [add both sides by 8]
[tex]11x=22[/tex] [divide both sides by 11]
[tex]x=2[/tex]
Since we know the value of x, we can substitute it back into any of the 2 equations to find y.
[tex]2x+3y=8[/tex] [plug in x=2]
[tex]2(2)+3y=8[/tex] [multiply 2 and 2]
[tex]4+3y=8[/tex] [subtract both sides by 4]
[tex]3y=4[/tex] [divide both sides by 3]
[tex]y=\frac{4}{3}[/tex]
Our final answer is x=2 and y=4/3.
How old is natalie if she was 7 years old six years ago?
Answer:
Natalie is 13 years old
Step-by-step explanation:
7+6=13
Answer:13
Step-by-step explanation: 7 + 6 = 13
Compare |−49| and |−52|. 50 POINTS HELP ASAP PLEASE ANYONE PLEASE A) |−49| |−52| D) |−49| ≥ |−52|
Answer:
|-49| < |-52|
Step-by-step explanation:
|-49| = 49
|-52| = 52
49 < 52
--> |-49| < |-52|
Answer:
|-49|<|-52|
Step-by-step explanation:
Absolute Values
|-49|=49
|-52|=52
49<52 so
|-49|<|-52|
Your answer should be an expanded polynomial in standard form. (-5a^3 - 2a^2) + (6a^3 + 9a^2 + 8a) = ?
Answer:
I pretty sure its 2 a^ 2 + 6 a^ 3 + 9 a^ 2 + 8 a
Step-by-step explanation:
Subtracting 3 from the product of 6 and a number results in the number added to 52
Answer: 11
Step-by-step explanation:
Let x = the number
6x-3=52+x
6x=55+x
5x=55
x=11
Hope this helps!! :)
Please let me know if you have any questions
If m∠CDF = (3x + 14)°, m∠FDE = (5x – 2)°, and m∠CDE = (10x – 18)°, find x.
Answer:X=10
Step-by-step explanation:
y=-2x+4
( ,-2)
please help mee ?
Answer:
(-3, -2)
Step-by-step explanation:
y = -2x + 4; y = -2
plug in y
-2 = -2x + 4
subtract 4 from each side
-6 = 2x
divide by 2
x = -3
2 x 3 2 x 5 x 7 is the prime factorization of what number
Answer: 2240
Step-by-step explanation: Simplify the expression.
I hope this helps you out.
Here, 2 x 3 x 2 x 5 x 7 is the prime factorization of 420.
Given that,
To determine the number that is this prime factorization 2 x 3 2 x 5 x 7 belongs to.
Factors can be defined by splitting the value into multipliable values.
What is simplification?The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.
Here,
Prime factors of the number are the factors that consist of only prime numbers,
i.e.
2 x 3 x 2 x 5 x 7 = 420
Thus, 2 x 3 x 2 x 5 x 7 is the prime factorization of 420.
Learn more about Factors here:
https://brainly.com/question/24182713
#SPJ2
BRIANLIEST! Which property is shown by –3 • (6 + 5) = –3 ● 6 + –3 ● 5? A. Commutative Property of Multiplication B. Identity Property of Multiplication C. Associative Property of Multiplication D. Distributive Property
Answer:
Distributive Property
Step-by-step explanation:
I think it's because the bracket was expanded.
What is the solution to this equation?
6x + 10 - 2x= 7 + 23
Answer:
[tex]\boxed{x=5}[/tex]
Step-by-step explanation:
First, you need to combine like terms in order to begin simplifying. This is done by subtracting 2x from 6x. Also, add 7 to 23.
6x + 10 - 2x = 7 + 23
4x + 10 = 7 + 23
4x + 10 = 30
Now, you have a two-step equation. Subtract 10 from both sides, and then divide by 4.
4x + 10 = 30
4x = 20
x = 5 is the final answer.
At a store 2 hats and 4 pairs of gloves together cost $75.60. The total cost of 3 hats and 8 pairs of socks is $83.48. If the price of a hat is 3 times as much as the price of gloves, what is the total cost of 5 hats and 10 pairs of socks? Include 2 decimal places in your answer. For example if the answer is $12 enter it as $12.00.
Answer:$132.70
Just believe it
Answer: 125.7
Step-by-step explanation:
At Sparky's Candy World, Miles spent a total of $13.75 on gummy bears and jelly beans. He bought 2.5 pounds of gummy bears at $3.40 per pound. If jelly beans cost $1.50 per pound, how many pounds of jelly beans did he buy?'
Answer:
3.5 lbs of jellybeans
Step-by-step explanation:
2.5 x 3.40
8.5
13.75 - 8.5 = 5. 25
5. 25 divided by 1.50 =
3.5
Answer:
3.5
Step-by-step explanation:
- 2n+1 = 3(n+ 2)
multi-step equations
Answer:
[tex] - 2n + 1 = 3n + 6 \\ - 2n - 3n = - 1 + 6 \\ - 5n = 5 \\ n = \frac{5}{ - 5} \\ n = - 1[/tex]
Answer:
n = -1
Step-by-step explanation:
Solve for n:
1 - 2 n = 3 (n + 2)
Expand out terms of the right-hand side:
1 - 2 n = 3 n + 6
Subtract 3 n from both sides:
1 + (-2 n - 3 n) = (3 n - 3 n) + 6
-2 n - 3 n = -5 n:
-5 n + 1 = (3 n - 3 n) + 6
3 n - 3 n = 0:
1 - 5 n = 6
Subtract 1 from both sides:
(1 - 1) - 5 n = 6 - 1
1 - 1 = 0:
-5 n = 6 - 1
6 - 1 = 5:
-5 n = 5
Divide both sides of -5 n = 5 by -5:
(-5 n)/(-5) = 5/(-5)
(-5)/(-5) = 1:
n = 5/(-5)
The gcd of 5 and -5 is 5, so 5/(-5) = (5×1)/(5 (-1)) = 5/5×1/(-1) = 1/(-1):
n = 1/(-1)
1/(-1) = -1:
Answer: n = -1
For income tax purposes, a man uses a method called
straight-line depreciation to show the loss in value of a copy
machine he recently purchased. A man assumes that he can
use the machine for 5 years. The following graph shows the
value of the machine over the years. What loss in value
occurred during the first year?
Answer: It lost $6.75 in the first year.
Step-by-step explanation: Using the graph, first determine the function of loss in value and years, by calculating:
Slope: m = [tex]\frac{y_{a}-y_{b}}{x_{a}-x_{b}}[/tex] and then, substitute in: [tex]y-y_{0}=m(x-x_{0})[/tex]
The equation is:
[tex]y-y_{0}=(\frac{y_{a}-y_{b}}{x_{a}-x_{b}} )(x-x_{0})[/tex]
Assuming y is value and x is years.
From the graph, in year 0, loss is 10 and in year 4, loss is 7, i.e.:
[tex]y-10=(\frac{7-10}{4-0} )(x-0)[/tex]
[tex]y=\frac{-3}{4}x+10[/tex]
For the first year, loss in value will be:
[tex]y=\frac{-3}{4}.1+10[/tex]
y = 6.75
During the first year, the loss in value is $6.75
Answer: 1,000
Step-by-step explanation:
Find (f-g)(x)
Help me please
Answer: B
Step-by-step explanation:
To find (f-g)(x), you simply subtract f(x) and g(x). With the given functions of f(x) and g(x), we can directly subtract them.
f(x)-g(x) [plug in f(x) and g(x)]
-3x+2-x³ [rewrite in the correct order]
-x³-3x+2
Since there are no like terms for us to combine, B is our correct answer.
find the Square root of 49/10000
Answer:
o.ooo7
Step-by-step explanation:
The square root of 49/10,000 is 0.0007.
Hope this helps
please mark as brainlist
I need some help on this...
Step-by-step explanation:
Since ray GI bisects ∠FGH, we know that the ray is in the middle of the angle, since it is a bisector. That means that both angles have the same value. ∠FGI is equal to 51º. Since we know that both of the angles are the same value, that makes m∠IGH also equal to 51º. To find the angle of m∠FGH, we add both angles together to get our answer: 102º.
Answers:
m∠IGH = 51º
m∠FGH = 102º
does coordinate m or n represent a greater number
Answer:
m
Step-by-step explanation:
If all points are plotted on a graph, we'd see that (3, 5) and (10, 5), would be on the same horizontal level. Both points have the same y coordinate of 5.
Invariably, (0, 1) would be on the same horizontal level with (m, n). The coordinate of n, which is the y value on the y-axis would be same as 1.
The coordinate of m, which is the x-value on the x-axis would certainly be greater than 1.
Therefore, coordinate m represents a greater number.
Answer:
5
Step-by-step explanation:
If all points are plotted on a graph, we'd see that (3, 5) and (10, 5), would be on the same horizontal level. Both points have the same y coordinate of 5.
Invariably, (0, 1) would be on the same horizontal level with (m, n). The coordinate of n, which is the y value on the y-axis would be same as 1.
The coordinate of m, which is the x-value on the x-axis would certainly be greater than 1.
Therefore, coordinate m represents a greater number.
Convert the following fraction to a percentage (round to the nearest tenth if needed). 3/7
Answer:
[tex]\huge\boxed{42.9 \%}[/tex]
Step-by-step explanation:
=> [tex]\frac{3}{7}[/tex]
To make it a percentage, we need to multiply and divide it by 100
=> [tex]\frac{3}{7} * \frac{100}{100}[/tex]
=> [tex]\frac{300}{700}[/tex]
To make the denominator 100, we'll divide the numerator and denominator by 7
=> [tex]\frac{300/7}{700/7}[/tex]
=> [tex]\frac{42.9}{100}[/tex]
Percentage means out of hundred, so it becomes
=> 42.9 %
rewite 4/6:1/3 as a unit rate
Answer: 75
Step-by-step explanation:
Find the midpoint of the segment with the given endpoints.
(-7,10) and (6.-10)
Answer:
c
Step-by-step explanation:
cc
Combine like terms to create an equivalent expression −3.6−1.9t+1.2+5.1t
Answer:
-2.4+3.2t
Step-by-step explanation:
[tex]-3.6-1.9t+1.2+5.1t\\\\=(-3.6+1.2)+(-1.9+5.1)t\\\\=-2.4+3.2t[/tex]
Answer:
-2.4+3.2t
Step-by-step explanation:
Khan
I'll need the answers I'm pretty slow in the head
Answer:
30) 25x^2 +28x +16
31) (15/2)x +15
32) 18x^3 -21x^2 -52x -20
Step-by-step explanation:
For a shape with a cutout, the shaded area is the difference between the area of the enclosing shape and the area of the cutout. The applicable area formulas are ...
area of rectangle: A = bh
area of triangle: A = (1/2)bh
Here, the dimensions are given as binomials (2-term polynomials), so you have to multiply those to find the areas. The distributive property is helpful for that.
__
30) shaded area = (5x+8)(6x+2) -(5x)(x+6)
= (5x)(6x+2) +8(6x+2) -5x^2 -30x
= 30x^2 +10x +48x +16 -5x^2 -30x
shaded area = 25x^2 +28x +16
__
31) shaded area = (1/2)(x+6)(2x+5) -x(x+1)
= (1/2)(x(2x+5) +6(2x+5)) -x^2 -x
= (1/2)(2x^2 +5x +12x +30) -x^2 -x
= x^2 +(17/2)x +15 -x^2 -x
shaded area = (15/2)x +15
__
32) volume = lwh = (2x -5)(3x +2)(3x +2)
= (2x -5)(3x(3x +2) +2(3x +2))
= (2x -5)(9x^2 +6x +6x +4)
= (2x -5)(9x^2 +12x +4)
= 2x(9x^2 +12x +4) -5(9x^2 +12x +4)
= 18x^3 +24x^2 +8x -45x^2 -60x -20
volume = 18x^3 -21x^2 -52x -20