Answer:
A)distributive B)communitive C)associative
Step-by-step explanation:
R is inversely proportional to A
R = 2 when A =1.5
b) work out the value of A when R = 9
Answer:A=1/2
Step-by-step explanation:
Which of the following is not a real number?
OA. √ O
B. √-3
O C. √ A
D. √5
Answer:
\(\sqrt{-3}\) is not a real number.
Step-by-step explanation:
\(\sqrt{-3}=\sqrt{-1}\times \sqrt{3}=\dot\iota \sqrt{3}\)
This implies that \(\sqrt{-3}\) is not a real number. option B is correct option
Next, if A is negative number then \(\sqrt{A}\) will not a real number.
Mr. Marshal spent his salary of $8 400 in the following manner: Rental .....1/5 Food.......1/10 Bank ......1/4 Miscellaneous ......... the remainder. what fraction of the money was spent on miscellaneous. how much did he spend on rental. if marshal spent 4/9 of miscellaneous on a trip what fraction of his entire salary was spent on the trip ?
Mr. Marshal spent 1/4 of his salary on miscellaneous expenses and $1,680 on rental; therefore, he spent 1/36 of his entire salary on the trip.
To find the fraction of money spent on miscellaneous, we need to calculate the sum of the fractions spent on rental, food, and bank and subtract it from 1.
Rental: 1/5
Food: 1/10
Bank: 1/4
To find the fraction spent on miscellaneous:
Fraction spent on miscellaneous = 1 - (Rental + Food + Bank)
Rental + Food + Bank = 1/5 + 1/10 + 1/4 = (8 + 4 + 5)/40 = 17/40
Fraction spent on miscellaneous = 1 - 17/40 = 23/40
So, Mr. Marshal spent 23/40 of his salary on miscellaneous.
To find the amount spent on rental, we multiply the fraction spent on rental by his salary:
Amount spent on rental = (1/5) \(\times\) $8,400 = $1,680
Therefore, Mr. Marshal spent $1,680 on rental.
If Mr. Marshal spent 4/9 of the miscellaneous amount on a trip, we need to calculate the fraction of his entire salary spent on the trip.
Fraction spent on the trip = (4/9) \(\times\) (23/40) = 92/360 = 23/90
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plz say answer for this grade 7
The full circle = 360 degrees
so x = all the full circle minus the other 3 angles
Now we sum the three angles we know [100, 46, 64]:
100 + 46 +64 = 210 degrees
Now we calculate x
x = 360 - 210 = 150 degrees
What is the reciprocal of (17h)/(46j)?
Answer:
I dont give the answer right away so you read what i write and fully understand :D
Step-by-step explanation:
The reciprocal of something is basically when you flip something over. Since 17h/46j is a fraction, the reciprocal is 46j/17h. Remember, a number times the reciprocal is always equal to one.
Answer:
46j over 17h
Step-by-step explanation:
a reciprocal fraction is formed by flipping the fraction around
for example:
2/3
reciprocal= 3/2 or 1.5
HOPE THIS HELPS!!! :)
What is the value of x in the equation?
2.3x−26.4=1.2
A
x=−11
B
x=−12
C
x=11
D
x=12
Answer:
x = 12
Step-by-step explanation:
2.3x - 26.4 = 1.2
2.3x = 1.2 + 26.4
2.3x = 27.6
x = 27.6/2.3
x = 12
Which quadrilateral can have 2 pairs of parallel sides, all sides
with equal length, and no right angles?
A square
A triangle
A Rhombus
Trapezoic
The exponential model A=433.4e^0.032t describes the population, A, of a country in millions, t years after 2003. Use the model to determine when the population of the country will be 796 million.
The population of the country will be 796 million in
(Round to the nearest year as needed.)
The population of the country will be 796 million approximately in the year 2022.
To find when the population of the country will be 796 million, we can set the equation equal to 796 and solve for t:
\(A = 433.4e^{(0.032t)}\\796 = 433.4e^{(0.032t)}\)
Divide both sides by 433.4:
\(e^{(0.032t)} = 1.836\)
Take the natural logarithm of both sides:
\(ln(e^{(0.032t)}) = ln(1.836)\)
0.032t = 0.605
Divide both sides by 0.032:
t = 18.91
Therefore, the population of the country will be 796 million approximately 19 years after 2003. To find the year, we add 19 to 2003:
2003 + 19 = 2022
Therefore, the population of the country will be 796 million approximately in the year 2022.
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A farmer plans to fence a rectangular garden next to a river. There will be no fence along the river side. Draw a picture of this situation. The pasture will contain 405,000 square meters. Find the dimensions of the garden that will require the least amount of fencing.
Answer:
x = 450 m
y = 900 m
P (min) = 1800 m
Step-by-step explanation:
Let´s call "x" and "y" de sides of the rectangular garden, y is the side parallel to the river ( that is it will be fenced only one )
Then:
2*x + y = P ( perimeter of the area)
And x * y = 405000 m²
y = 405000/ x
And P as a function of x is:
P(x) = 2*x + 405000/x
Tacking derivatives relative to x on both sides of the equation.
P´(x) = 2 - 405000/x²
P´(x) = 0 2*x² - 405000 = 0
x² = 202500
x = 450 m
And y = 405000 / 450
y = 900 m
And
P(min) = 2*450 + 900
P(min) = 1800 m
We know P is minimm at x =450 snce the second derivative of P
P´´(x) = 405000*2*x / x⁴ is always positive
A sequence can be generated by using an= 3an-1, where a1 = 10 and n is a whole number greater than 1.
What are the first 3 terms in the sequence?
A. 3, 13, 23
B. 10, 30, 90
C. 10, 13, 16
D. 3, 30, 300
Answer:
B
Step-by-step explanation:
using the recursive rule \(a_{n}\) = 3\(a_{n-1}\) and a₁ = 10, then
a₁ = 10
a₂ = 3a₁ = 3 × 10 = 30
a₃ = 3a₂ = 3 × 30 = 90
the first 3 terms are 10 , 30 , 90
Find the solution to the initial value problem
y′′+8y′+16=0, y(−1)=2, y′(−1)=3.
Answer:
y = (11x + 13)e^(-4x-4)
Step-by-step explanation:
Given y'' + 8y' + 16 = 0
The auxiliary equation to the differential equation is:
m² + 8m + 16 = 0
Factorizing this, we have
(m + 4)² = 0
m = -4 twice
The complimentary solution is
y_c = (C1 + C2x)e^(-4x)
Using the initial conditions
y(-1) = 2
2 = (C1 -C2) e^4
C1 - C2 = 2e^(-4).................................(1)
y'(-1) = 3
y'_c = -4(C1 + C2x)e^(-4x) + C2e^(-4x)
3 = -4(C1 - C2)e^4 + C2e^4
-4C1 + 5C2 = 3e^(-4)..............................(2)
Solving (1) and (2) simultaneously, we have
From (1)
C1 = 2e^(-4) + C2
Using this in (2)
-4[2e^(-4) + C2] + 5C2 = 3e^(-4)
C2 = 11e^(-4)
C1 = 2e^(-4) + 11e^(-4)
= 13e^(-4)
The general solution is now
y = [13e^(-4) + 11xe^(-4)]e^(-4x)
= (11x + 13)e^(-4x-4)
I will mark you brainiest!
One of the sides of a pentagon has length 12. Which of the following points, when paired with (2, 3), will make a side equal to this length?
A) (14, 15)
B) (2, -9)
C) (-2, -3)
D). (-9, 2)
The correct option for the given sum is option B. The point (2,-9) paired with (2, 3), will make a side equal to this length.
Let the other point of the pentagon will be M(n, o).
The given point be A (a, b)
Also given one of the sides of a pentagon has length 12.
Now, we need to find the distance between the two points,
Distance between two points: |AM| = √\((a-n)^2+(b-o)^2\)
Now,
\(12 = \sqrt{(2-n)^2+(3-o)^2}\)
\((12)^2\) = \((2-n)^2+(3-o)^2\)
\((2-n)^2+(3-o)^2\) = 144 ----------------------------- eq (1)
Now, check every point for the values to match with equation (1)
Option A: \((2-14)^2+(3-15)^2\) = 288. So the option is false.
Option B:
\((2-2)^2+(3-(-9))^2\) =114
0+114 =114
Therefore option B is correct. The other point is (2,-9).
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Bill earned $10.00 per hour. He worked 40 hours at regular rate, 2 hours at time and a half
and 3 hours at double time. Compute the total wages.
Answer:
400.00
Step-by-step explanation:
is that what you meen ?
Hello, the answer is $450.
Here's how I got the answer...
We know Bill earns $10 per hour.. He works 40 hours at regular rate, which would make about $400.
He then works for 2 more hours, makes that $20..
He also then works for 3 more hours, makes that $30..
Now you add that up. The answer would be $450.
Amelia grabbed 50% of the M&M's from a bowl. Then, Jess took 50% of what was left. Dominick takes 50% of the remaining M&M's. There were 3 left. How many M&M's were in the bowl before Amelia arrived.
The number of M&M's that were in the bowl before Amelia arrived is; 12
How to solve Percentage problems?Let the original amount in the bowl be x. Thus;
If Amelia grabbed 50%, then amount left = (100% - 50%)x = 50%x = 0.5x
Now, we are told that domicick took 50% of what was keft after amelia. Thus; New amount left = 100%x - (0.5x + 0.25x) = 0.25x
Now, we are told that there were finally 3 left after all the deductions. Thus;
0.25x = 3
x = 3/0.25
x = 12
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which of the following is false about probability distributions? O point the probabilities must total O. each probability should be greater than or equal to O. each probability should be positive, less than or equal to O. the outcomes listed must be independent.
The outcomes listed must be independent is false about probability distributions.
In probability theory, statistics, and the theory of stochastic processes, independence is a key concept. Informally speaking, two occurrences are independent, statistically independent, or stochastically independent if their occurrence has no bearing on either their chances or probability of occurring. Similarly to this, two random variables are independent if the probability distribution of either one is unaffected by the realization of the other.
It is important to distinguish between two definitions of independence when working with collections of more than two occurrences. Informally, mutual independence of events refers to each event being independent of any combination of other events in the collection, whereas pairwise independence of events refers to any two events in the collection being independent of each other.
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What is the value of y if y/4= 24/?
Answer:
y/4=24
y=24×4
y=96
i think you can slove like this
The value of the equation is y = 16
What is Proportion?The proportion formula is used to depict if two ratios or fractions are equal. The proportion formula can be given as a: b::c : d = a/b = c/d where a and d are the extreme terms and b and c are the mean terms.
The proportional equation is given as y ∝ x
And , y = kx where k is the proportionality constant
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Given data ,
Let the proportion be represented as A
Now , the equation will be
Substituting the values in the equation , we get
y / 4 = 24 / 6 be equation (1)
So , the proportion is y : 4 : : 24 : 6
On simplifying the equation , we get
Multiply by 4 on both sides of the equation , we get
y = ( 24 x 4 ) / 6
On further simplification , we get
y = 4 x 4
y = 16
Therefore , the value of y is 16
Hence , the equation is y = 16
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How do you do this question?
Answer:
7
Step-by-step explanation:
1 / ((n + 1) + 2)³ ≤ 0.001
1 / (n + 3)³ ≤ 0.001
(n + 3)³ ≥ 1000
n + 3 ≥ 10
n ≥ 7
Find the polar coordinates of rectangular coordinates (-√2,1). Limit θ to the interval [0,2pi) and round 2 dceimal places if needed
The point (-√2,1) can also be represented as (√3, 5.18) in polar coordinates.
To find the polar coordinates of the rectangular coordinates (-√2,1), we can use the following formulas:
r = √(x² + y²)
θ = tan^⁻1(y/x)
Plugging in the given values of (-√2,1), we get:
r = √((-√2)² + 1²) = √(2 + 1) = √3
θ = tan^⁻1(1/(-√2)) ≈ 2.0344 radians
Note that since the point (-√2,1) is in the second quadrant, we need to add π to the value of θ obtained from the inverse tangent in order to obtain an angle in the interval [0,2π). Thus, we have:
θ ≈ 2.0344 + π ≈ 5.1779 radians
Rounding to 2 decimal places as needed, we get the polar coordinates of (-√2,1) as (r,θ) ≈ (√3, 5.18).
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Before Valentine's Day, a store bought 58 boxes of chocolates. There were 65 chocolates in each box. How many chocolates did the store buy? chocolates
Answer:
The equation would be:
58 times 65
The answer:
3,770
Step-by-step explanation:
PLEASE HELP ME ILL MARK YOU BRAINLY!!
Answer:
No
Step-by-step explanation:
no because it doesn't pass the horizonal line test
A straw is placed inside a rectangular box that is 2 inches by 5 inches by 9 inches, as shown. If the straw fits exactly into the box diagonally from the bottom left corner to the top right back corner, how long is the straw? Leave your answer in simplest radical form.
The length of the straw is √110 inches.
What is rectangle ?
Rectangle can be defined as opposites sides are equal and the area of rectangle is product of length and breadth.
We can use the Pythagorean theorem to find the length of the diagonal of the rectangular box, which will be the length of the straw.
The Pythagorean theorem states that in a right triangle, the square of the length of the hypotenuse (the longest side) is equal to the sum of the squares of the lengths of the other two sides.
In this case, the rectangular box forms a right triangle, and the length of the hypotenuse is the length of the diagonal from the bottom left corner to the top right back corner, which is the length of the straw.
The lengths of the other two sides of the triangle are the dimensions of the rectangular box:
The width is 2 inches, which is the length of one leg of the right triangle.
The height is 5 inches, which is the length of the other leg of the right triangle.
So we can use the Pythagorean theorem as follows:
length of straw = √(2*2 + 5*5 + 9*9)
= √(4 + 25 + 81)
= √110
Therefore, the length of the straw is √110 inches.
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Whose statement is correct based on the expected value?
Step-by-step explanation:
only Hadley. and even that is not fully correct.
the expected value here gives us the overall most likely outcome of the scenario when throwing 2 balls.
and not ball by ball. and not directly a probability.
like rolling a die : the expected value of rolling a 6 in 6 attempts is 1 due to the individual roll probability of 1/6.
but the probabilty is NOT 1 or 100% (a guaranteed 6 in 6 attempts).
and that brings me to my concern with Hadley's statement. it says with conviction "the player will make ...". no, only "... will likely make ..." or "... on average".
Answer:
Step-by-step explanation:
neither statement is correct. right answer on khan
How do I do this this question I really need help on this
Answer:
-2
Step-by-step explanation:
If you draw a line from a to a^1 and cut that line in half, that’s the line of reflection (or think of it as a line of symmetry if that helps). You use a and a^1 because a^1 is the reflection of point a
Water cost $1.25 per bottle. At this rate, what is that cost of 50 bottles?
Answer:
$62.5 is the answer
Step-by-step explanation:
gimme brainly pls :3
Answer:
50 × $ 1.25
mutiply it you will get your answer.
What is the value of y when x = 0?
When x = 0, y = ______ ?
Answer:
use photo math it will help u a lot
Please help
If y=4x+7/2 what is y when x is 5?
Answer:
Step-by-step explanation:
y=4x + (7/2)
when x=5
y=4(5)+ (7/2)
=20+3.5 or 20+ (7/2)
=23.5 or (40+7)/2 =47/2 =23.5
The annual average price per square foot for office space in a city was $30.18 in 2004, and it was $66.85 in 2015.
(a) Find an exponential function of the form f(t)=y0b^t to model these data in which t=0 corresponds to 2004.
The exponential model of the given data is f(t) = 30.18 × 1.06^t.
What are the rules of exponents?Some of the rules of exponents are as follows,
The product of two exponents having the same power is equal to the power of their base multiplied.
The product of two exponents having the same base is equal to the sum of the powers of different exponents to the same base.
Given that,
The average price for office space in 2004 is $30.18.
The average price for office space in 2015 is $66.85.
Suppose the average price in 2004 is taken as y₀.
The given situation can be represented in the form of exponential function f(t) = y₀b^t as,
Take t = 0 for 2004
Then, f(0) = y₀b^0
⇒ f(0) = y₀ = $30.18.
Then, at 2015, t = 12. Substitute the respective values to get,
f(12) = 30.18 × b^12
⇒ 66.85 = 30.18 × b^12
⇒ b^12 = 66.85 / 30.18
⇒ b = 1.06
Thus in exponential form the given situation can be written as,
f(t) =30.18 × 1.06^t
Hence, the given data can be modeled in exponential function as f(t) =30.18 × 1.06^t.
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The heaviest freshwater fish caught in region A weighs 286 lb, and the heaviest freshwater fish caught in region B
weighs 614 lb. How much does each weigh in kilograms?
A. The fish from region A weighs about _______ in kg.
(Round to the nearest whole number.)
B. The fish from region B weighs about _______ in kg.
(Round to the nearest whole number.)
Answer:
A. To convert pounds to kilograms, we need to multiply by 0.453592. Therefore, the fish from region A weighs about 130 kg (286 x 0.453592), rounded to the nearest whole number.
B. Similarly, the fish from region B weighs about 279 kg (614 x 0.453592), rounded to the nearest whole number.
Find the volume of the cone. Round your answer to the nearest tenth.
Answer:
v ≈ 461.81
Step-by-step explanation:
formula of a cone - v = \(\pi\)\(r^{2}\)\(\frac{h}{3}\)
= \(\pi\) x \(7^{2}\) x \(\frac{9}{3}\)
\(\pi\) x \(7^{2}\) = 49\(\pi\)
153.93804002\(\pi\) x \(\frac{9}{3}\)
= 461.81412007\(\pi\)
= 461.81412007\(\pi\)
v ≈ 461.81
hopefully this helps, let me know if it doesn't.
help me please I will give you so much point and mark you as bril\
PLZ
PLZ
PLZ
ANYBODY?