Answer:
a = 29/46
b= - 9/46
Step-by-step explanation:
Given:
(5 + 2√3)/(7 + √3) = a - √3bRationalizing the left side:
(5+2√3)(7-√3)/(7+√3)(7-√3) = (35 + 14√3 - 5√3 - 2√3²)/(7² - √3²) =(35 - 6 + 9√3)/(49 - 3) =(29 + 9√3)/46 = 29/46 + √3 (9/46)Comparing the left and right sides:
a - √3b = 29/46 + √3 9/46a = 29/46b = - 9/46can someone help me.
Answer:
X=11
Step-by-step explanation:
To find x-intercept/zero substitute h(x)=0
0=x-11 move the variable to the left hand side and change it's sign
-x=-11 change the signs on both sides of the equation
x=11
BRAINLIEST FOR CORRECT ANSWER PLEASE ANSWER ASAP use the given values to make a table of solutions y = 3x - 1 for x = 1,2,3,4,5,6 y =2x + 1 for x = 2,4,6,8,10 y = 2x - 3 for x = 3,6,9,12,15
Step-by-step explanation:
Hey, there!
Here,
a. y = 3x-1
x = 1 2 3 4 5 6
y = 2 5 8 11 14 17
b.y = 2x+1
x = 2 4 6 8 10
y = 5 9 13 17 21
c. y = 2x-3
x = 3 6 9 12 15
y = 3 9 15 21 27
Hope it helps....
In the equation 5x 3 = 15, what is the product?
Answer:
15 is the product.
Step-by-step explanation:
when you multiply, the answer is called the product.
The product of two given numbers is 15.
What is multiplication?Multiplication is an operation that represents the basic idea of repeated addition of the same number. The numbers that are multiplied are called the factors and the result that is obtained after the multiplication of two or more numbers is known as the product of those numbers.
The given equation is 5×3=15.
The product of 5 and 3 is 15
Now, 5×3=15
15=15
LHS=RHS
Therefore, the product of two given numbers is 15.
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Combine like terms: 7x+13-4x=
Answer:
3x+13
Step-by-step explanation:
7x+13-4x
3x+13
:))
Answer:
x=-13/3 is the answer.
Step-by-step explanation:
Let 7x+13-4x=0
7x-4x+13=0
3x+13=0
3x=-13
Dividing 3 on both sides
x=-13/3
Hope it will help ^_^
what is the median 3,9,10,13,14,15
Arrange the data in ascending order and the median is the middle value. If the number of values is an even number, the median will be the average of the two middle numbers.
11.5 is the median in 3,9,10,13,14,15
Hope this helps! (●ˇ∀ˇ●)
A jar contains 10 red marbles, 8 green marbles, 5 blue marbles, and 6 white marbles. What is the probability that a randomly selected marble is not green?
Answer:
Probability (not green) = 21 / 29
Step-by-step explanation:
Given:
Number of red marble = 10
Number of green marble = 8
Number of blue marble = 5
Number of white marble = 6
Find:
Probability (not green)
Computation:
Total marble = 10 + 8 + 5 + 6
Total marble = 29
Probability (not green) = 1 - (Probability of green marble))
Probability (not green) = 1 - (8 / 29)
Probability (not green) = 21 / 29
A volleyball of radius 13 inches fits exactly in a cylinder with the same radius. A sphere with a radius of 13 inches is inside of a cylinder with a radius of 13 inches. The cylinder has a height of 26 inches. Inside the container there is empty space not taken up by the volleyball. What is the volume of that empty space? Use 3.14 for π and round the answer to the nearest cubic inch. 3,067 in.3 4,599 in.3 13,797 in.3 22,995 in.3
Answer:
B: 4,599 inches
Step-by-step explanation:
The volume of the empty space in cylindrical container is V = 4,599 inches³
What is a Cylinder?A cylinder is a three-dimensional shape consisting of two parallel circular bases, joined by a curved surface. The center of the circular bases overlaps each other to form a right cylinder. The volume of a cylinder is
Volume of Cylinder = πr²h
Surface area of cylinder = 2πr ( r + h )
where r is the radius of the cylinder
h is the height of the cylinder
Given data ,
Let the radius of the sphere be r₁ = 13 inches
So , the volume of the sphere V₁ = ( 4/3 )πr³
V₁ = ( 4/3 ) ( 3.14 ) ( 13 )³
V₁ = 9,198.106 inches³
Let the radius of the cylinder be r₂ = 13 inches
Let the height of the cylinder be h = 26 inches
So , Volume of Cylinder = πr²h
V₂ = 3.14 ( 13 )² x 26
V₂ = 13,797.16 inches³
So , the volume of the empty space V = V₂ - V₁
V = 13,797.16 inches³ - 9,198.106 inches³
V = 4,599 inches³
Hence , the volume of empty space is 4,599 inches³
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A ball is thrown vertically upward. After t seconds, its height h, in feet, is given by the function LaTeX: h\left(t\right)=-16t^2+64th ( t ) = − 16 t 2 + 64 t. How many seconds will it take the ball to reach its maximum height?
Answer:
The time it will take for the ball to reach maximum height of 64 feet is 2 seconds
Step-by-step explanation:
The given equation for the height, h, in feet the ball reaches is given by the function;
h(t) = -16·t² + 64·t
To reach maximum height, [tex]h_{max}[/tex], we have;
At [tex]h_{max}[/tex], we have;
[tex]\dfrac{\mathrm{d} h}{\mathrm{d} t} = 0[/tex]
[tex]\dfrac{\mathrm{d} \left (-16\cdot t^{2} + 64\cdot t \right )}{\mathrm{d} t} = 0[/tex]
Which gives;
64 -32·t = 0
64 = 32·t
t = 64/32 = 2 seconds
Therefore, it will take 2 seconds for the ball to reach maximum height
The maximum height reached is given as follows;
h(2) = -16×2² + 64×2 = 64 feet
The time it will take for the ball to reach maximum height of 64 feet is 2 seconds.
In a farm there are ducks and rabbits. In total the sum is 24 animals. If we add all the legs we get 88. How
many rabbits are there in the farm?
please show your working
THANKS for your helping ✨✨
Answer:
There are 20 rabbits.
Step-by-step explanation:
Let D be the number of ducks on the farm and R be the number of rabbits. We get the equation:
D + R = 24
Ducks have 2 legs and rabbits have 4. We know there are 88 legs in total, so we get the equation:
2D + 4R = 88
Rewriting the first equation, we get:
D = 24 - R
Substituting this into the second equation, we get:
2(24 - R) + 4R = 88
Solve for R:
48 - 2R + 4R = 88
2R = 40
R = 20
So there are 20 rabbits and 4 ducks on the farm, with a total of 88 legs.
66) Savings Account.Christine Chu borrowed $4500 from a bank at a simple interest rate of 2.5% for one year.
a) Determine how much interest Christine paid at the end of 1 year.
b) Determine the total amount Christine will repay the bank at the end of 1 year
Answer:
the answer to part is 112.5 and part b is 4612.5 dont completely trust me though
PLEASE I NEED HELP I AM STUCK PLEASE
We're adding n and m onto k to get P. Undo these operations to isolate k. So we subtract m from both sides
P = k+n+m
P-m = k+n+m-m
P-m = k+n
and we subtract n from both sides
P-m = k+n
P-m-n = k+n-n
P-m-n = k
k = P-m-n is the final answer1. The likelihood that something will happen a: Favorable outcome b: outcome c: experiment d: probability e: event
Answer:
Probability
Step-by-step explanation:
I really need help!
attached image
Step-by-step explanation:
attached image
PLS COME AND LOOK!!! I NEED YOU GENIUSES!!! I WILL GIVE BRAINLIEST!!!!! AT LEAST COME AND LOOK!!!! WILL FOREVER BE GREAT FULL!!! EASY IM JUST DUMB!!
1. Which compound inequalitiy represents the inequality |y – 3| − 4 ≤ −3?
A) −1 ≤ y – 3 AND y – 3 ≤ 1
B) −1 ≤ y – 3 OR y – 3 ≤ 1
C) y – 3 ≤ −1 AND y – 3 ≥ 1
Answer:
A
Step-by-step explanation:
Answer:
A
Step-by-step explanation:
Which expression has a value of 10
A/(10+10)divide(5-3) B/(10+10divide5)-3 C/(10+10)divide5-3 D/10+10divide(5-3)
The expression that has a value of 10 is (10 + 10) divide (5 - 3)
How to determine the expression that has a value of 10?To do this, we simply test the options
We have:
Option (A)
(10 + 10) divide (5 - 3)
Evaluate the sum and the difference
(10 + 10) divide (5 - 3) = 20 divide 2
Evaluate the quotient
(10 + 10) divide (5 - 3) = 10
Hence, the expression that has a value of 10 is (10 + 10) divide (5 - 3)
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Describe the steps needed to solve 8x-12y=-3 for y.
Answer:
y = (2 x)/3 + 1/4
Step-by-step explanation:
Solve for y:
8 x - 12 y = -3
Subtract 8 x from both sides:
-12 y = -8 x - 3
Divide both sides by -12:
Answer: y = (2 x)/3 + 1/4
what does sin mean?
Answer:
since u asked this in mathematics
sin or also spelled sine means the trigonometric function that is equal to the ratio of the side opposite a given angle (in a right triangle) to the hypotenuse.
Step-by-step explanation:
formula-------------------------------------------------------------------------------------------
In a right angled triangle, the sine of an angle is:
The length of the side opposite the angle divided by the length of the hypotenuse.
The abbreviation is sin
HOPE I HELPED
PLS MARK BRAINLIEST
DESPERATELY TRYING TO LEVEL UP
✌ -ZYLYNN JADE ARDENNE
JUST A RANDOM GIRL WANTING TO HELP PEOPLE!
PEACE!
If a number fits into the integer, whole number, and natural number categories, where is it placed on the Venn Diagram? Why? PLEASE HELP I NEED HELP ASAP!! I WILL GIVE BRAINLIEST OR WHATEVER
Answer:
The numbers would be placed inside of natural numbers
Step-by-step explanation:
Such number would be placed inside natural numbers.
Integers are whole numbers and their opposites. This means that an integer can be a negative number.
Whole numbers are counting numbers, including Zero and excluding negative numbers. Therefore whole numbers are greater than or equal to 0
Natural numbers are counting numbers excluding Zero and Negative numbers.
From the above definitions, we can agree that natural numbers exists in whole numbers and also exists in integers, but neither of the two exists in natural numbers.
We can then say that
Natural numbers is a subset of whole numbers which is a subset of integers.
Natural numbers < Whole numbers < Integers.
Kindly hit brainliest
Tatiana says the domain of this relationship is all x-
values between -3 and 3 and the range is all y-values
between
-2 and 2.
Is Tatiana correct?
Answer:
no
Step-by-step explanation:
The domain and the range of a graph are simply the possible x and y values of the graph.
Tatiana is incorrect, because she switched the x and y values
From the complete question (see attachment), we have the following observations.
The y values of the graph is between -2 and 2The x values of the graph is between -3 and 3This means that:
Tatiana's conclusion about the domain and the range of the graph is incorrect, because switched the values of the domain and the range
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what is the value of x? please help
Answer:
12
Step-by-step explanation:
25/30=10/x
cross multiply
25x=30*10
25x=300
x=12
Answer:
(30/x) = (25/10)
x = (30*10)/25
x = 12
17 is between which following pairs of numbers? A) 4 and 5 B) 8 and 9 C)16 and 18 D) 288 and 290
Answer:
C
Step-by-step explanation:
Count it out, 16, __, 18.
What’s between 16 and 18?
16, 17, 18
Not that hard
Answer:
C
Step-by-step explanation:
Los 75 postulantes que fueron aceptados tuvieron notas desde 16 hasta a 20. Si el grupo se hubiera desempeñado de modo homogéneo y hubieran tenido todos la misma nota, ¿cuál sería esa nota? 2. Si los estudiantes se agrupan según notas, ¿cuántos grupos se forman? 3. ¿Qué notas tendrían los estudiantes del grupo más grande? 4. Si los estudiantes se ordenan en fila según notas, ¿qué nota tiene el del medio?
Answer:
Tenemos 75 postulantes, y sus notas están en el rango desde 16 hasta 20.
1) si el grupo es homogéneo y todos tienen la misma nota, entonces todos van a tener la nota media en el rango (16, 20)
Para encontrar esta nota calculamos la suma entre ambos extremos y lo dividimos por 2.
Media = (16 + 20)/2 = 36/2 = 18
La nota sería 18.
2) entre 16 y 20 tenemos:
16, 17, 18, 19 y 20
tenemos 5 notas distintas, entonces si agrupamos a los estudiantes por nota, tendríamos 5 grupos.
3) En una distribución normal, el grupo mas grande debería coincidir con la media del intervalo. Ya sabemos que la media es 18, entonces es esperable que la nota del grupo mas grande sea 18.
4) Si los estudiantes se ordenan en fila según notas tendríamos:
Fila con nota 16
fila con nota 17
fila con nota 18
fila con nota 19
fila con nota 20
Podemos ver que la fila del medio es el grupo con nota de 18
4x + 5 = 25 x = 2 x = 5 x = 2 x = 7
Answer:
x=5
Step-by-step explanation:
Answer:
x = 5
Step-by-step explanation:
4x + 5 = 25
Subtract 5 from each side
4x + 5-5 = 25-5
4x = 20
Divide by 4
4x/4 = 20/4
x = 5
midpoint of -3 and 6
So you need to find the number in between -3 and 6.
Since this is pretty basic, you can use you can guess and try.
-3 + 4.5 = 1.5
6 - 4.5 = 1.5
The midpoint of -3 and 6 is 1.5
-3 x 10 , 6x10
-30 , 60
the numbers between -30 and 60 are the midpoints of -3 and 6 like
-29 -28 -27 -26..........-1 0 1 2 3 7.......56 57 58 59 these r the midpoints
Select the desi answer for the question
1. Complete the following equation using <, >, or=
120%_1
O B. =
OC.
Mark is review (Will be highlighted on the review page)
Answer:
>
Step-by-step explanation:
You know that 100% = 1, so ...
120% > 1
Why are all even numbers greater than two composite
Answer:All even numbers greater than two are composite numbers. This is because they are all evenly divisible by themselves and by 1, and since they are.
Step-by-step explanation:
Answer:
Answer:All even numbers greater than two are composite numbers.
Step-by-step explanation:
This is because they are all evenly divisible by themselves and by 1, and since they are even they will be bigger
Chicken eggs can be categorized as large if they weigh at least 2 ounces. Clare weighs 48 large eggs and finds that they have a mean weight of 2.1 ounces and a mean absolute deviation of 0.08 ounces. Interpret 0.08 ounces in this situation.
Answer:
0.08 ounces is interpreted as the Mean Absolute Deviation and this means that
the various weights of each of the 48 eggs deviates from the mean of the egg (2.1 ounces)by 0.08 ounces.
Step-by-step explanation:
Mean Absolute Deviation of a data set is defined as the distance or the deviation between a given data set and the calculated mean.
Mean Absolute Deviation tells us about how much a data set varies from it's mean.
From the above question, we are told that after weighing 48 eggs we have a mean of 2.1 ounces and mean deviation of 0.08 ounces
Therefore this means that the various weights of each of the 48 eggs deviates from the mean of the egg (2.1 ounces)by 0.08 ounces
What is 3x = 21? Please solve with work.
Answer: Hi!
To solve this equation, we need to isolate the x. To do this, we will use inverse operations.
The inverse operation for multiplication is division (3 is being multiplied by x,) so we will divide 3 on both sides:
3x/3 = x
21/3 = 7
Our equation now looks like this:
x = 7
You have nothing left to simplify, so you're done!
Hope this helps!
Answer:
7
Step-by-step explanation:
Divide each term in 3 x = 21 by 3 .
21/3 = 7
If the surface area for the coloured tile is 286cm², find the
value of x.
pls hlp（-""-；)
Answer:
x=8.72389
Step-by-step explanation:
first you make every number 10 times larger
25*10, 48*10, etc etc
you find that you have 12x
the difference between the two surfaces is
120000 (250*480)- 28600= 91400
12x²+20=91400
12x²=91400-20
12x²= 91380
x²=91380/ 12
x²= 7615
x= √7615
x= 87.2389
and since we had made everything 10 times bigger
x=8.72389
i hope you understand i am not good with the words but i think you can understand what i did.
Anyone please help ASAP.....
Answer/Step-by-step Explanation:
a. Order the marks scored by James from the least to the largest:
11, 12, 13, 13, 16, 17, 17, 18, 19, 19, 20
To find the interquartile range for James Marks, first find the median, Q1, and then Q3.
The median is the middle value, which is the 6th value in the data set.
11, 12, 13, 13, 16, [17], 17, 18, 19, 19, 20
The median = 17
The Q1 is the middle value from the median to your left, while Q3 is the middle value from the median to the right.
11, 12, (13), 13, 16, [17], 17, 18, (19), 19, 20
Q1 = 13
Q3 = 19
Interquartile range (IQR) = [tex] Q_3 - Q_1 = 19 - 13 = 6 [/tex]
b. Sunil has a median score of 17, which is the same has that of James, however, the interquartile range value for that of Sunil is higher (8) than that of James (6).
The higher the interquartile range, the much variation there is in a set of data. Which can imply inconsistency.
Therefore, James has more consistent marks because his marks has lesser variation.
c. The new marks of the tests which are 16, 20, 18, and 10, would not change the initial median score. This is because, 10 and 16 would fall under the initial median value of 17, while 18 and 20 would fall above the median value of 17. The data set would still be divided into 2, with 17 still being the median.
Therefore, the new median is 17.