Answer:
The Commutative Property is a property that states the order of the numbers in addition and multiplication don't matter. 2+3+7 = 7+2+3
Step-by-step explanation:
7(c+3)+ -4(3c-2)
Distribute the 7 and the -4 to each of their parentheses.
7c+21-12c+8
You can use the Commutative Property to move the terms to places where they can be easily simplified.
7c-12c+21+8
Simplify.
-5c+29
Problem 1
Imagine a rectangle that is 2 by 3. You would have an area of 2*3 = 6 and it is the same as saying 3*2 = 6. The order of multiplication doesn't matter. Visually, we can rotate the rectangle to have the shorter side be horizontal and then make it vertical, and the area is still the same. All we're doing is shifting things around.
Another example is say you had a marching band with 10 rows and 2 columns. That gives 10*2 = 20 people total. Then we could easily form the same number of people into 2 rows and 10 columns. The order of rows and columns doesn't matter because we get the same total number as a result.
======================================================
Problem 2
7(c+3) + -4(3c-2) ..... is the original expression
7(c+3) - 4(3c - 2) .... adding a negative is the same as subtracting
7*c + 7*3 - 4*3c - 4*(-2) .... distributive property
7c + 21 - 12c + 8 .... multiply
(7c-12c) + (21+8) .... group like terms
-5c + 29 ... combine like terms
The original expression simplifies to -5c+29
Convert 60 miles pr hour to yards pr minute
Answer:1760
Step-by-step explanation:
Using Euler's relation, derive the following relationships:a. Cosθ=½(e^jθ+e^−jθ)b. Sinθ=½(e^jθ−e(^−jθ)
Answer:
a. cosθ = ¹/₂[e^jθ + e^(-jθ)] b. sinθ = ¹/₂[e^jθ - e^(-jθ)]
Step-by-step explanation:
a.We know that
e^jθ = cosθ + jsinθ and
e^(-jθ) = cosθ - jsinθ
Adding both equations, we have
e^jθ = cosθ + jsinθ
+
e^(-jθ) = cosθ - jsinθ
e^jθ + e^(-jθ) = cosθ + cosθ + jsinθ - jsinθ
Simplifying, we have
e^jθ + e^(-jθ) = 2cosθ
dividing through by 2 we have
cosθ = ¹/₂[e^jθ + e^(-jθ)]
b. We know that
e^jθ = cosθ + jsinθ and
e^(-jθ) = cosθ - jsinθ
Subtracting both equations, we have
e^jθ = cosθ + jsinθ
-
e^(-jθ) = cosθ - jsinθ
e^jθ + e^(-jθ) = cosθ - cosθ + jsinθ - (-jsinθ)
Simplifying, we have
e^jθ - e^(-jθ) = 2jsinθ
dividing through by 2 we have
sinθ = ¹/₂[e^jθ - e^(-jθ)]
ANYONEEEE ? I need to help
Answer:
please mark my answer brainliest
Step-by-step explanation:
A.....will be the answer....
Determine the minimum and maximum cycle times in seconds for a desired output of 500 units in a seven-hour day.
Complete question:
Please find the attached file for task table
Answer:
The minimum cycle time is 50 s
The maximum cycle time is 50.4 s
Step-by-step explanation:
Given;
production time, t = 7 hours
desired output = demand, D = 500 units
The minimum cycle Time is given by;
Minimum cycle time = maximum task time, from the table the maximum task time is 50 seconds.
Thus, Minimum cycle time = 50 s
The maximum cycle Time is given by;
[tex]CT = \frac{Production \ time}{D} \\\\CT = \frac{7*3600 s}{500 \ units} \\\\CT = 50.4 \ s[/tex]
Thus, Maximum cycle time = 50.4 s
find the surface area of a box measuring 4 inches long 3 inches wide and 6 inches tall
4*3
12
12*6
72
hope it help
The surface area of the given box is 108 square inches.
What is the formula for the total surface area of a box?The surface area of a box is the sum of the areas of its six faces. We can find the surface area of the given box by using the formula:
Surface Area = 2lw + 2lh + 2wh
where "l" is the length, "w" is the width, and "h" is the height of the box.
As per the question, we have
l = 3 inches, w = 3 inches, and h = 6 inches
Substituting the given values, we get:
Surface Area = 2(4 x 3) + 2(4 x 6) + 2(3 x 6)
Surface Area = 24 + 48 + 36
Surface Area = 108 square inches
Therefore, the surface area of the given box is 108 square inches.
Learn more about the cuboids here:
brainly.com/question/23118276
#SPJ3
If there are 140,900 teachers and 12,880,000 people in Illinois, how many teachers would we expect to find in Marshall, IL, a city of 3,860 people?
Answer:
42
Step-by-step explanation:
12880000/140900=94.41
Therefore there is 1 teacher in every 94.41 people so
3860/94.41=42.2
So we would find around 42 teachers in Marshall, IL
help will give brainliest
Answer:
20+2=22
Step-by-step explanation:
When you go down by 2, then use the Inverse Operation to add it up.
it takes 9 eggs to make 4 omelets how many omoletes can be made with 72 eggs
Answer:
For every 72 eggs, 32 omelets can be made.
Step-by-step explanation:
The ratio for eggs to omelets is 9:4. Or 9/4 in fraction form. (Note that the ratio can be written interchangeable such as 4:9).
The ratio says for every 9 eggs, it makes 4 omelets.
72 can be multiplied by 9. (9*8=72).
If we multiply the "top" and the "bottom" of the ratio by 8/8 (8/8=1. We must multiply this way so the ratio will remain the same when reduced.)
We will get 72:32.
For every 72 eggs, 32 omelets can be made.
Answer:
We use the rule of three !
9 eggs ------------> 4 omoletes
72 eggs -----------> x
So x= (72 eggs × 4 omoletes ) / 9 eggs
We simplify by 《eggs 》 because it is in the numerator and the denominator.
So x=(72×4 omoletes) / 9
x =288 omoletes /9
x = 32 omoletes
So we can made 32 omeletes with 72 eggs !!
What is the image of (-7,-2) after a reflection over the y-axis?
The question is in the image below.
I hope this helps you
PLEAS HELP 2m · 2n would be the same as _____.
4 mn
2 m + n
2 mn
2 m - n
4mn. You are multiplying them all together.
Answer:
4mn
Step-by-step explanation:
you would multiply the 2s then the m and n cant multiply so they would stay beside eachother so it would be 4mn
What is the value of x ?
Answer:
X = 31°Step-by-step explanation:
Given: AC is angle bisector of <BAD.
=> So, <BAC = <CAD
30° = x-1 °
30 +1 = x
31 = x
Then, X = 31
Hope this helps.. Good luck :)
A patient A receives 3 times the amount of medicine as patient B. The two doses add to 200 milligrams. What amount of medicine does each patient receive?
Answer:
Patient A receives 150 milligrams and Patient B receives 50 milligrams
Step-by-step explanation:
Patient A = 3x
Patient B = x
200 milligrams = 3x + x
200 milligrams = 4x
x = 50
Patient A = 3(50) = 150
Patient B = 50
I hope this helps!
-TheBusinessMan
Let the medicine received by patient B be x.
According to the question patient A receives 3 times as much,
So patient A receives 3x.The total amount of medicine administered to the two patients equals to 200 milligrams.
We can write the relation as ,
[tex]:\implies \sf \ \ \ x + 3x = 200 \\ \\ \\ [/tex]
[tex]:\implies \sf \ \ \ 4x = 200 \\ \\ \\ [/tex]
[tex]:\implies \sf \ \ \ x = \dfrac{200}{4} \\ \\ \\ [/tex]
[tex]:\implies \sf \ \ \ { \underline{ \boxed{ \bf{ \blue{x = 50}}}}} \ \bigstar \\ \\ [/tex]
Therefore,
Patient B receives 50 milligrams.Patient A receives 3 × 50 = 150 milligrams━━━━━━━━━━━━━━━━━prove that n!<n^n for n≥2
Answer:
Step-by-step explanation:
Hello,
We will prove it by induction.
Step 1 - for n=2
2!=2*1=2
2^2=4
and 2 < 4 so this is true for n=2
Step2 - We assume that this is true for k and we have to prove it for k+1.
Induction hypothesis is [tex]k!<k^k[/tex]
[tex](k+1)!=(k+1)k![/tex]
We use the induction hypothesis and we we can write that
[tex](k+1)!=(k+1)k!<(k+1)k^k<=(k+1)(k+1)^k=(k+1)^{k+1}\\\\\text{As }k <= k+1[/tex]
so, we prove it for k+1
Step 3- conclusion
for n >= 2 we just proved that [tex]n!<n^n[/tex]
x2+3y=4 solve for x. (someone help asap)
Answer:
Slope= 2.0003.000=1.500
x−intercept=−312=−4
y−intercept= 12/2=6
Hoped I helped
Helppppp meeeeeseseeeseeee
Step-by-step explanation:
Remember: Coplanar definition: In the same plane.
Here, we can see that points G, N, and M make up the intersection of plane K and plane L, so that means our answers are: G, N, and M because we were looking forth e points that are on planes K and L. The other points are not the answer because they are either on only one of the planes or not on any of them at all.
I hope this helps! :)
Answer:
I THINK it is M,N,G they are coplanar and they intersect, hope i helped
a value which represents any quantity along a number line
A:rational number
B:irrational number
C: real number
D:infinite
Answer:
C: real number
Step-by-step explanation:
The set of real numbers includes rational and irrational numbers. It would be difficult (impossible) to draw a number line consisting of only rational numbers or only irrational numbers.* So, the number lines we draw represent all real numbers.
_____
* There are an infinite number of rational numbers between any pair of irrational numbers. Similarly, there are an infinite number of irrational numbers between any pair of rational numbers
Use the upper and lower sums to approximate the area of the region using the given number of subintervals (of equal width). (Round your answers to three decimal places.) y = 1 − x2.
Answer:
The answer to this question can be defined as follows:
The Lower sum ="0.659"
The Upper sum ="0.859"
Step-by-step explanation:
In the given equation there is some mistype error, so the correct equation and its solution can be defined as follows:
Equation:
[tex]y= \sqrt{1-x^2}[/tex]
calculating the Δx:
[tex]=\frac{(1 - 0)}{5}\\\\=\frac{1}{5}[/tex]
calculating the Upper sum value:
[tex]=\bigtriangleup x \times (f(0) + f(\frac{1}{5}) + f(\frac{2}{5}) + f(\frac{3}{5}) + f(\frac{4}{5})) \\\\= \frac{1}{5} \times (1 + \sqrt{(\frac{24}{25})} + \sqrt{\frac{21}{25}} + \frac{4}{5} + \frac{3}{5})\\\\= 0.859[/tex]
calculating the Lower sum value:
Answer:
The upper sum value is 0.8592
The lower sum value is 0.6592.
Step-by-step explanation:
Given information:
The equation [tex]y=\sqrt{1-x^2}[/tex]
And [tex]n=5[/tex]
now, first find derivative of the above equation:
As, [tex]\Delta x=(1/5)\\\Delta x=0.2[/tex]
Now calculate the upper sum value as :
[tex]U=0.2[\sqrt{1-0}+\sqrt{1-0.2^2}+\sqrt{1-0.4^2}+\sqrt{1-0.6^2}]+ \sqrt{1-0.8^2}\\U=0.2\times 4.296\\U=0.8592\\[/tex]
Hence, the upper sum value is 0.8592
Now ,calculate the lower sum value as:
[tex]L=0.2[\sqrt{1-0.2^2}+\sqrt{1-0.4^2}+\sqrt{1-0.6^2}+\sqrt{1-0.8^2}+\sqrt{1-1^2}]\\L= 0.2\times 3.296\\L=0.6592\\[/tex]
Hence, the lower sum value is 0.6592.
For more information visit:
https://brainly.com/question/22983262
pls help!!!!!!!!! ASAP!!!
i hop ....
i hope
ihope
solution
Find the value of the test statistic z using zequalsStartFraction ModifyingAbove p with caret minus p Over StartRoot StartFraction pq Over n EndFraction EndRoot EndFraction . Round to three decimal places. The claim is that the proportion of drowning deaths of children attributable to beaches is more than? 0.25, and the sample statistics include n equals 647 drowning deaths of children with? 30% of them attributable to beaches. A. 2.775 B. -2.937 C. 2.937 D. -2.775
Answer:
C. 2.937
Step-by-step explanation:
Given the following :
H0 : p = 0.25
H1 : p > 0.25
Number of observations (n) = 647
p' = 30% = 0.3
SD = sqrt[(p(1 - p) / n)]
1 - p = 1 - 0.25 = 0.75
SD = sqrt[(0.25 * 0.75) / 647]
SD = sqrt[0.0002897]
SD = 0.0170234
Z = (p' - p) / SD
Z = (0.3 - 0.25) / 0.0170234
Z = 0.05 / 0.0170234
Z = 2.9371187 = 2.937
Find the range of the following data set.
A. 1
B. 1 1/8
C. 1 1/4
A color printer can print 7 color photos in one minute. How many minutes will it take to print 500 photos? (round if you have to)
Math homework help........
What is the solution to 4|0.5x - 2.5| = 0?
Answer:
x = 5
Step-by-step explanation:
4|0.5x - 2.5| = 0
|0.5x - 2.5| = 0 / 4
0.5x - 2.5 = 0
0.5x = 2.5
x = 2.5 / 0.5
x = 5
For the following exercises, write the equation of the tangent line in Cartesian coordinates for the given parameter t
x=et ,y=(t-1)2 ,at(1,1)
Answer:
y+2x = 3
Step-by-step explanation:
The formula for finding the equation of a tangent line is expressed using the point slope equation y-y0 = m(x-x0) where:
m is the slope of the line and (x0, y0) is a point on the line.
m = dy/dx = dy/dt ÷ dx/dt
dy/dt = 2(t-1)
dx/dt = e^t
m = 2(t-1)/e^t
If x = e^t, and x = 1
1 = e^t
Taking ln of both sides
ln1 = lne^t
t = ln1
t = 0
Substituting t = 0 into the slope formula:
m = 2(t-1)/e^t
m = 2(0-1)/e^0
m = 2(-1)/1
m = -2/1
m = -2
Substituting the slope m= -2 and the given point (1,1) into the formula for calculating the equation of tangent line we will have;
y-1 = -2(x-1)
y-1 = -2x+2
y+2x = 2+1
y+2x = 3
Hence the equation of the tangent line in Cartesian coordinates for the given parameter t is y+2x = 3
Find two decimals that are equivalent to (4×10)+(7×1\100
(4×10)+(7×1\100) = 40+7/100 =4007/100
4007/100= 40,07
40,07 = 40,070
just add 0 to right side
(40,0700 also = 40,070)
Hope this helps ^-^
Find the product of -1 + 3i and its conjugate. The answer is a + bi where
The real number a equals
The real number b equals
Answer:
[tex]\huge\boxed{a = 10 \ , \ b = 0}[/tex]
Step-by-step explanation:
Conjugate of -1 + 3i = -1 - 3i
Their Product:
[tex]=(-1+3i)(-1-3i)\\Using \ Formula : (a+b)(a-b) = a^2-b^2\\=(-1)^2 - (3i)^2\\=1 - 9i^2\\We \ know \ that \ i^2 = -1\\=1 - 9(-1)\\=1 + 9\\=10[/tex]
Since the answer is 10, It seems like:
a + bi = 10
So, This means that:
a = 10
b = 0
1. The standard deviation of the distribution of house age is about 16 years. Interpret this value.
a. The age for the houses in the sample was typically 16 years from the mean.
b. The age for all the houses in the sample is 16 years from the mean.
c. The gap between the youngest and oldest house is 16 years.
d. The age for all houses in the sample is within 16 years of the mean. The gap between the first quartile and the third quartile is 16 years.
Answer:
The correct option is b.
Step-by-step explanation:
Standard deviation is one of the measure of dispersion or spread of a dataset from the average value of the dataset. The standard deviation measures the absolute variability of the distribution of values.
The higher the spread or variability in the data set, the greater is the standard deviation value and thus greater will be the magnitude of the deviance of the value from their average.
It is provided that the standard deviation of the distribution of house age is about 16 years.
The standard deviation of 16 years imply that the age for all the houses in the sample is 16 years from the mean.
Thus, the correct option is b.
Construct a truth table
Answer:
see below
Step-by-step explanation:
The result of the expression is P∨Q, since the P∧¬R term is subsumed by the P term. That is, ..
(P∨Q) ∨ (P∧¬R) = Q ∨ (P ∨ P∧¬R) = Q∨P
Solve for x. 5x - 4 = -3x + 12
Step-by-step explanation:
5x+3x=12+4
8x=16
x=16÷8
x=2
Answer:
[tex] \boxed{ \bold{ \huge{\boxed{ \sf{x = 2}}}}}[/tex]
Step-by-step explanation:
[tex] \sf{5x - 4 = - 3x + 12}[/tex]
Move 3x to left hand side and change it's sign
⇒[tex] \sf{5x + 3x - 4 = 12}[/tex]
Move 4 to right hand side and change it's sign
⇒[tex] \sf{5x + 3x = 12 + 4}[/tex]
Collect like terms
⇒[tex] \sf{8x = 12 + 4}[/tex]
Add the numbers
⇒[tex] \sf{8x = 16}[/tex]
Divide both sides of the equation by 8
⇒[tex] \sf{ \frac{8x}{8} = \frac{16}{8} }[/tex]
Calculate
⇒[tex] \sf{x = 2}[/tex]
Hope I helped!
Best regards!!