An equation is formed of two equal expressions. The correct option is B.
What is an equation?An equation is formed when two equal expressions are equated together with the help of an equal sign '='.
The complete option is:
Which values of a and b make the equation true?
[tex]\dfrac{(2xy)^4}{4xy}=4x^ay^b[/tex]
A)a = 0, b = 0
B)a = 3, b = 3
C)a = 4, b = 4
D)a = 5, b = 5
The given equation can be simplified as shown below,
[tex]\dfrac{(2xy)^4}{4xy}=4x^ay^b\\\\\dfrac{2^4 \times x^4 \times y^4}{4xy}=4x^ay^b\\\\\dfrac{16x^4y^4}{4xy} = 4x^ay^b\\\\4x^{(4-1)}y^{(4-1)} = 4x^ay^b\\\\4x^3y^3 = 4x^ay^b[/tex]
Now, comparing the two sides of the equation, the value of a and b should 3 for the equation to be satisfied.
Hence, the correct option is B.
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Find the area of the rectangle
Answer:
Option A = 1*3 = 3 unit²[tex]area \: of \: rectangle \: = length \: \times breath[/tex]
[tex]length \: = distance \: between \: f \: and \: g \: or \: between \: e \: and \: h \: [/tex]
Distance between f and G = distance between E and HF = (3,7)
G = (6,4)
H = (5,3)
E= (2,6)
= (3 units)
Distance between FE = GH= 1 units
Area = 3* 1
= 3 units²
Laboratory tests show that the lives of
light bulbs are normally distributed with
a mean of 750 hours and a standard
deviation of 75 hours. Find the
probability that a randomly selected
light bulb will last between 750 and 825
hours.
Answer in percentage!!!
This result is approximate.
=========================================================
Explanation:
mu = 750 = mean
sigma = 75 = standard deviation
The raw scores or x values are x = 750 and x = 825
Let's compute the z score for each x value
z = (x - mu)/sigma
z = (750 - 750)/75
z = 0
and
z = (x - mu)/sigma
z = (825 - 750)/75
z = 1
Therefore P(750 ≤ x ≤ 825) is equivalent to P(0 ≤ z ≤ 1) in this context.
Use a z score table to determine that
P(z ≤ 0) = 0.5
P(z ≤ 1) = 0.84314 approximately
So,
P(a ≤ z ≤ b) = P(z ≤ b) - P(z ≤ a)
P(0 ≤ z ≤ 1) = P(z ≤ 1) - P(z ≤ 0)
P(0 ≤ z ≤ 1) = 0.84314 - 0.5
P(0 ≤ z ≤ 1) = 0.34314 approximately
The value 0.34314 then converts to 34.314% which rounds to 34%
Or you could use the empirical rule as shown below. The pink section on the right is marked 34% which is approximate. This pink section is between z = 0 and z = 1.
A store finds that the number of shirts sold increases each week. In the first week, only 15 shirts were sold. In the next week, 22 shirts were sold and in the third week 29 shirts were sold. The number of shirts sold each week represents an arithmetic sequence.
What is the explicit rule for the arithmetic sequence that defines the number of shirts sold in week n?
The explicit rule for the arithmetic sequence is a(n) = 7n + 8 if the arithmetic series is 15, 22, 29,...
What is a sequence?It is defined as the systematic way of representing the data that follows a certain rule of arithmetic.
We have:
In the first week, only 15 shirts were sold. In the next week, 22 shirts were sold and in the third week, 29 shirts were sold.
15, 22, 29,...
The first term a = 15
The common difference d = 22 - 15 = 7
a(n) = 15 + (n - 1)7
a(n) = 7n + 8
Thus, the explicit rule for the arithmetic sequence is a(n) = 7n + 8 if the arithmetic series is 15, 22, 29,...
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5y + 3= 14
pleaseeeee help
Answer:
5y + 3= 14
subtract 3 from each side
5y=11
divide each side by 5
5y/5=11/5
y=11/5 or 2.2 or 2 1/5
Hope This Helps!!!
Answer:
2.2
Step-by-step explanation:
Properties needed:
Subtraction Property of EqualityDivision Property of Equality
First we need to subtract 3 from both sides because of subtraction property of equality to make both sides equal.
5y + 3 = 14
-3 -3
5y = 11
Then we need to divide 5 from both sides (division property of equality) to get y.
[tex]\frac{5y}{5} = \frac{11}{5}[/tex]
And we get 2.2
Please mark brainliest!
I hope this helps!
Have a great day!
Find the perimeter of this figure.
22 in.
17 in.
12 in.
12 in.
30 in.
40 in.
? ] = inches
Answer:
133 inches
Step-by-step explanation:
First, you need to do 22 + 17 which is 39
Next, you need to do 39 + 12 which is 51.
Next, you need to do 51 + 12 which is 63.
Next, you need to do 63 + 30 which is 93.
Lastly, you need to do 93 + 40 which is 133.
Remember This:
Perimeter is adding up all the side lengths to get your answer.
I Hope This Helped :D
Answer:
133
Step-by-step explanation:
What is the length of side BC of the triangle?
Enter your answer in the box.
Answer:
28
Step-by-step explanation:
2x + 7 = 4x - 7
14 = 2x
x = 7
BC = 4x = 4(7) = 28
62 divided by 8,694
Answer:
50.007131355
Step-by-step explanation:
A calculator lol?
What is the common difference of the following arithmetic sequence?
{15,11,7,3,...}
Answer:
Solution : AP = 19 , 15 , 11 , 7 , 3.....
Common difference ( d ) = 15 - 19 = -4.
Answer:
The common difference is -4.
Step-by-step explanation:
Subtract a term from the next term.
11 - 15 = -4
The common difference is -4.
Help Me Uhm In 5th Grade I'm behind in school work and I have to finish by august when my school starts pls help I'm stuck on this question
B
To find the average you add them all up and divide by how many numbers there are. 2+3+6+13+16=40 There are 5 numbers so 40/5=8
A would be 7 and c would be 9, so the answer is b.
Are of quadrilateral
Answer:
Area of Quadrilateral = 289.57 sq.cm
Step-by-step explanation:
First of all, let us understand what is a Quadrilateral?
A quadrilateral is a polygon with four sides. A quadrilateral is a closed two-dimensional figure formed by joining the four points among which three points are non-collinear points.
Given,
Length of sides :
AB = 7.5 cm
BC = 11.7 cm
CD = 15.6 cm
AD = 18 cm
and given , the Angle between BCD is 90 degrees and the angle between BAD is 90 degrees.
It implies that the TRAINGLES BCD and BAD are Right angled triangles
So, the length of BD can be found using Pythagorean theorem
Pythagorean theorem, the well-known geometric theorem that the sum of the squares on the legs of a right triangle is equal to the square on the hypotenuse (the side opposite the right angle)—or, in familiar algebraic notation, a2 + b2 = c2.
From the Triangle of BCD,
a= BC
b=CD and
c= BD
Therefore, The length of BD =
c=[tex]\sqrt[2]{(11.7^{2})+(15.6 x^{2}) }[/tex]
c = [tex]\sqrt{380.25}[/tex]
c = 19.5 cm
Hence, c= BD=19.5 cm
Now, Area of Quadrilateral =
1/2*(diagonal)*(sum of height of two triangles)
Here, Diagonal = Length of BD = 19.5 cm
Height (h1) = BC = 11.7 cm
Height ( h2) = AD = 18 cm
Therefore, Area = 1/2*19.5*(11.7+18)
= 289.57 sq.cm
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Which is true of dependent events?
a.) the probability of all dependent events can be calculated using the or formula
b.) you can use a two-way frequency table to calculate the conditional probability of events that are dependent.
c.) the outcome of one event has no effect on the outcome of a second event.
d.) you can find the and probability of dependent events using the formula
branliest to correct answer please no guessing
As per the attached picture Option fourth "the probability of all dependent events can be calculated using the OR formula P(A or B) = P(A) + P(B) - P(A and B)" is correct.
What is probability?It is defined as the ratio of the number of favorable outcomes to the total number of outcomes, in other words, the probability is the number that shows the happening of the event.
The question is incomplete.
The complete question is in the picture, please refer to the attached picture.
As we know the dependent events are dependent on what happened before.
Let A and B be dependent events:
Event B will be dependent on the Event A
P(A or B) = P(A) + P(B) - P(A and B)
Thus, option fourth "the probability of all dependent events can be calculated using the OR formula P(A or B) = P(A) + P(B) - P(A and B)" is correct.
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A pair of jeans costs $58. They are on sale for 15% off. What is the discount and final price?
Discount = $ _._ _
Selling Price = $ _ _ . _ _
Answer:
Discount=$8.7
Selling price=$49.3
Step-by-step explanation:
First you need to write that in an equation form-
a/58=15/100
Then you need to do cross multiplication-
100a=58(15)
100a=870
Now divide 100 from both sides-
100a/100=870/100
a=8.7
Thats the discount rate
Now subtract that from the original price
58-8.7=49.3
Thats the price after the discount
Hope this helped :)
What is the vertex of the function f(x)=|x-9|+2
Answer:
vertex = (9, 2 )
Step-by-step explanation:
given the absolute value function
f(x) = a |x - h | + k
with vertex = (h, k )
then
f(x) = | x - 9 | + 2
has vertex = (9, 2 )
Write an equation in slope intercept form with the given information.
Goes through points (-2,-5) and (3,5)
Answer:
infinity 2 is the slope for these point .
Step-by-step explanation:
given points are
(-2,-5) and (3,5)
comparison to
(x1,y1) and (x2,y2)
here ,
[tex]slope = \frac{y2 - y1}{x2 - x1} [/tex]
slope= 5-(-5)/3-(-2)
slope =10/5
slope=2
glad to help you this may help you :)
In the diagram below, a sequence of rigid motions maps ABCD onto JKLM.
If m/ A = 76, m/ B = 110°, and m / L = 116, the m/ M ?
In the diagram, the value of the last angle will be 158°.
How to calculate the angle?It should be noted that the total angle is a quadrilateral is 360°.
In this case, the value of the last angle will be:
= 360° - (76° + 110° + 116°)
= 360° - 302°
= 158°
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help please ……………………
Answer:
y = 20 , x = 30
Step-by-step explanation:
they're equilateral triangles, meaning that each angle MUST be the same (60 Degrees).
So y = 20
And x = 30
The zeros of a parabola are -4 and 2 and (6,10) is a point on the graph which equation can be solved to determine the value of a in the equation of the parabola
Answer:
Let consider the following linear equation systems by using the known points and second-grade polynomial:
(-1, 7)
a + b + c = 7a+b+c=7
(5, 7)
25\cdot a + 5\cdot b + c = 725⋅a+5⋅b+c=7
(6,10)
36\cdot a + 6 \cdot b + c = 1036⋅a+6⋅b+c=10
After some algebraic manipulation, the values for the polynomial coefficients are found:
a = \frac{3}{5}a= 53 , b = -\frac{18}{5}b=− 518
, c = 10c=10
The polynomial is:
y = \frac{3}{5}\cdot x^{2} - \frac{18}{5}\cdot x+10y= 53
⋅
Step-by-step explanation:
For complete solution see the above attachment!
At Total Viewing, the
wholesale price of a 52-inch television is
$1.950. What does it cost to buy the
television if the store's markup is 15%?
Answer:
It would be 2242.5
Step-by-step explanation:
1950X0.15=292.5
292.5+1950=2242.5
What is the size of the angle, below?
Answer:
The size of the angle is between 180 and 360*. I cannot say the exact angle but my guess is correct and the correct answer is in between the 2 numbers.
Step-by-step explanation:
Sometimes, a data set has two values that have the highest and equal frequencies. In this case, the distribution of the data can best be described as
A data set having two values that have the highest and equal frequencies will have a bimodal distribution. Hence, option D is the right choice.
A symmetric distribution occurs when the mean, median, and mode all occur at the same location and the values of the variables occur at regular intervals.The few low scores in a negatively skewed distribution tend to push the mean to the left, thus the mean is typically lower than the median.The mode is consistently less than the mean and median in a positively skewed distribution.A continuous probability distribution having two distinct modes, that is, two separate values with the highest and equal frequencies is referred to as a bimodal distribution.Thus, a data set having two values that have the highest and equal frequencies will have a bimodal distribution. Hence, option D is the right choice.
The given question is incomplete. The complete question is:
"Sometimes, a data set has two values that have the highest and equal frequencies. In this case, the distribution of the data can best be described as:
A. Symmetric distribution
B. Negatively skewed distribution
C. Positively skewed distribution
D. Bimodal distribution."
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The row-echelon form of the augmented matrix of a system of equations is given. Find the solution of the system.
1 0 -1 -3
0 1 5
00 1
a.
X=-3
y--9
z-1
b. x-2
y=-9
N
I
T
C. X=-2
y--9
2-1
d. x-3
y=-9
2-1
The question is incomplete. Below you will find the missing content.
The row-echelon form of the augmented matrix of a system of equations is given. Find the solution of the system.
The correct option will be Option C: x=5t-3
y=4t-5
z=t
where t is the real number.
A matrix is in row echelon form when the first non-zero number from the left i.e. leading coefficient is always to right of the first non-zero number in the row above and rows consisting of all zeros are at bottom of the matrix.
The row echelon form of the matrix is given in the question.
from row-echelon form of the matrix, we can write the equation as,
x-5z=-3
y-4z=-5
Let's assume z=t, where t is the real number
now we can find x and y by putting z=t in the equation
x-5t=-3
⇒x=-3+5t
y-4t=-5
y=-5+4t
Now we get the solution of x,y,z in terms of t
x=5t-3
y=4t-5
z=t
where t is the real number.
So the correct option will be Option C: x=5t-3
y=4t-5
z=t
where t is the real number.
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Determine the value of y, if x is 81.
Y=/x+6
The value of y for the given equation at x=81 is 87.
What is Equation?Equations are mathematical statements containing two algebraic expressions on both sides of an 'equal to (=)' sign.
Here, given equation;
y = x + 6
Put x = 81, we get
y = 81 + 6
y = 87
Thus, the value of y for the given equation at x=81 is 87.
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HELP ANSWER FOR 30 POINTS
A cone has a volume of 24 cubic inches. What is the volume of a cylinder that the cone fits exactly inside of?
Answer: 72 cubic inches
Step-by-step explanation:
The formula for the volume of a cone: [tex]\dfrac{1}{3}\pi r^{2}h[/tex]
Formula for the volume of a cylinder: [tex]\pi r^{2}h[/tex]
We are given that a cylinder should fit exactly inside the cone
Upon comparing the two equations above, we get:
[tex]$$Volume of cone = \dfrac{1}{3}\text{Volume of cylinder}[/tex]
Since we are given the volume of cone is 24 cubic inches, we can write down the below:
[tex]24 = \dfrac{1}{3}\text{Volume of cylinder }\\ \text{Volume of cylinder = 72 cubic inches}[/tex]
Therefore, we can conclude that if the volume of the cylinder is 72 cubic inches, then the cone with volume of 24 cubic inches can fit exactly in.
Answer:
[tex]V_{cylinder}=72\:in^3[/tex]
Step-by-step explanation:
[tex]V_{cone}=24\: in^3[/tex] (Given)It is given that: Cone fits exactly inside the cylinder.[tex]\implies V_{cylinder}=3*V_{cone}[/tex][tex]\implies V_{cylinder}=3*24[/tex][tex]\implies V_{cylinder}=72\:in^3[/tex]The gratuity on a restaurant bill was $18. If a 20% tip was left, what was the original amount of the bill?
The original amount of the bill is $90.
Given that, the gratuity on a restaurant bill = $18 and tip = 20%.
We need to find the original amount of the bill.
What is a gratuity?A gratuity is a sum of money customarily given by a customer to certain service sector workers such as hospitality for the service they have performed, in addition to the basic price of the service.
The tip is directly proportional to the total cost
[tex]=\frac{18}{0.20} =x[/tex]
= $90
Therefore, the original amount of the bill is $90.
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Calculate the middle number in the middle of 12.7 and 21.2.
The middle number is 16.95
What is Number system?The collection of numbers is called the number system. These numbers are of different types such as natural numbers, whole numbers, integers, rational numbers and irrational numbers.
Given:
Numbers are 12.7 and 21.2
Difference between number
= 21.2-12.7
=8.5
middle number
= 12.7+ 8.5/2
= 12.7+ 4.25
= 16.95
Hence, the middle number is 16.95.
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How do you find inverse functions?
will give brainliest to first helpful response
Answer:
swap x and y
Step-by-step explanation:
You can find an inverse function by replacing "x" and "y"
for example:
y = mx + b
becomes
x = my + b
if your equation is:
f(x) = 3(x²) - 3
{remember, f(x) means the same thing as y}
y = 3(x²) - 3
inverse:
x = 3(y²) - 3
this is it, hope this is helpful!!
Answer:
make every (x) a (y)
A fishing gear shop from boulder, co bought $23,000 worth of fishing rods from a liquidator in pasadena, ca. the shop sold the fishing rods for $49,000, making a profit of $250 per fishing rod. there were __?__ fishing rods involved.
Subtraction is a mathematical operation that reflects the removal of things from a collection. The boulder.co bought 104 fishing rods.
What is subtraction?Subtraction is a mathematical operation that reflects the removal of things from a collection. The negative symbol represents subtraction.
Given the cost price of all the fishing rods is $23,000, also the selling price of all the fishing rod is $49,000. Therefore, the total profit from this transaction is,
Profit = $49,000 - $23,000 = $26,000
Since the profit on a single fishing rod is $250, while the total profit is $26,000. Therefore, the number of fishing rods can be written as,
Number of Fishing rod = Total profit/ Profit per rod
= $26,000 / $250
= 104
Hence, the boulder.co bought 104 fishing rods.
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Which integer is the smallest? A. -84 B. -4 OC. 34 OD. 24 Advanced Placement, AP AP Central", College Board", and SAT are trademarks registered by the Colleg ACT is a trademark registered by ACT, Inc., which is not affiliated with, and does not endorse, this website. Copyright 2010-2022 edtell, LLC. All rights reserved. Portions of this software are copyrighted by other partie. Which integer is the smallest ? A. -84 B. -4 OC . 34 OD . 24 Advanced Placement , AP AP Central " , College Board " , and SAT are trademarks registered by the Colleg ACT is a trademark registered by ACT , Inc. , which is not affiliated with , and does not endorse , this website . Copyright 2010-2022 edtell , LLC . All rights reserved . Portions of this software are copyrighted by other partie .
Answer: B -4
Step-by-step explanation: I think it is B because -4 is smaller than A,C and D.
The smallest integer among the options provided is option A, which is -84.
In the context of integers, smaller values are considered to be "less" than larger values.
In this case, we can compare the given integers to determine the smallest one.
Comparing the options:
A. -84
B. -4
C. 34
D. 24
Out of these options, -84 is the smallest integer because it has the lowest numerical value.
The negative sign indicates that it is a number less than zero, and the absolute value of 84 is greater than the absolute values of -4, 34, and 24.
Therefore, based on numerical value, -84 is the smallest integer among the options given.
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help please help me i beg you
I think it's C but also not completely sure good luck
Which expressions are equivalent to2 ( -6c+3) +4c
Answer:
-8c+6
Step-by-step explanation:
2(-6c+3)+4c = -12c+6+4c = -8c+6
