For the given expression √3, its index form is written as ( 3 )¹/² .
As given in the question,
Given expression is equal to :
√3
Standard form of writing expression in index form is given by:
√ ( square root ) will express the value in index form as 1 / 2 in the exponent.
√x = ( x ) ¹/²
Here x = 3 substitute the value of x in the standard way of index form we have:
Index form of the given expression is written as :
√3
= ( 3 )¹/²
Therefore, for the given expression √3, its index form is written as ( 3 )¹/² .
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Which graph represents the equation y^2? = -4x?
Answer:
[tex]x=-\frac{y^{2} }{4}[/tex]
Step-by-step explanation:
This graph is in terms of x.
Solve each of these equations. Explain or show your reasoning. Reduce all fractions in the lowest terms. Do not convert fractions into decimals.
You'll need to show ALL of your work to receive points.
1. 3b + 9 -5b + 3 = -14 + 6b - 8
2. 2x + 5 - 4x + 8 = 5(5 + 6x) - 12x
Answer:
b=17/4
x=-3/5
Step-by-step explanation:
This is what i put for the hw and i got 100% on it. If you want you can just write a bunch of random equations that look like they relate to the question and then just write and circle the answer, which is exactly what i did
Answer:
b = 17/4 x = -3/5Step-by-step explanation:
1) 3b + 9 - 5b + 3 = -14 + 6b - 8, for b?
→ 3b + 9 - 5b + 3 = -14 + 6b - 8
→ -2b + 12 = 6b - 22
→ -2b - 6b = -22 - 12
→ -8b = -34
→ b = -34/-8
→ [ b = 17/4 ]
Hence, the value of b is 17/4.
2) 2x + 5 - 4x + 8 = 5(5 + 6x) - 12x, for x?
→ 2x + 5 - 4x + 8 = 5(5 + 6x) - 12x
→ -2x + 13 = 25 + 30x - 12x
→ -2x - 18x = 25 - 13
→ -20x = 12
→ x = 12/-20
→ [ x = -3/5 ]
Hence, the value of x is -3/5.
Type the missing number to complete the proportion. 18 deliveries in 3 hours = deliveries in 1 hour
Answer:
6 deliveries in 1 hour
Step-by-step explanation:
18 / 3 = 6
A store sells 12 cans of soup for $7. 50 how much would it cost to purchase 6 cans of soup?.
Answer: $3.75
Step-by-step explanation:
Answer:
The cost of 6 cans of soup is 3.75
Step-by-step explanation:
12 = 7.50
1 can = x
12x = 7.50
We need to find the cost of 1 can. So we divide 7.50 by 12.
x = 0.625
Then multiply by 6.
0.625 x 6 = 3.75
As a result the cost of 6 cans of sup is $3.75
PLEASEEEEE HELP MEEEE MATHHHHHHHHHHHHHH SUCKS FOR ME
As part of his semester project, a byu-idaho introductory statistics student calculates a 95% confidence interval for the true percentage of byu-idaho students who are from latin america. What does the phrase 95% confidence mean?.
"95% confidence interval" means that there is a 95% chance that the true fraction falls within the computed confidence interval.
Confidence Intervals: Confidence intervals are the range of estimates for unknown parameters.
Confidence intervals are more than just a range of estimated values. It also tells you how stable the estimates are. A stable estimate is an estimate that has approximately the same value if the study is repeated. An unstable estimate is one that would vary from one sample to another.
The confidence interval determines the range that one can be certain that contains the true mean of the population.
This means that, The 95% confidence means, there is a 95% chance that the true proportion will be in the calculated confidence interval or 95 percent confidence interval, you have a 5 percent chance of being wrong.
Hence, the true statement that represents "95% confidence interval" is chance of true fraction of sucess.
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A person eating at a cafeteria must choose 4 of the 18 vegetables on offer. Calculate the number of elements in the sample space for this experiment. a) 24024 b) 3060 c) 12240 d) 1001 e) 73440 f) None of the above
According to the combination method, the number of elements in the sample space for this experiment is 3060
Combination method:
Basically, the mathematical technique that determines the number of possible arrangements in a collection of items where the order of the selection does not matter
Given,
A person eating at a cafeteria must choose 4 of the 18 vegetables on offer.
Here we have to calculate the number of elements in the sample space for this experiment.
While we looking into the given question, we have identified the following things,
They are
Total number of available vegetables = 18
Number of choices we have made = 4
Therefore, here the value of n = 18 and the value of x = 4,
Therefore, according to the ncx formula, it can be written as,
=> ¹⁸n₄ = 18! / 4! (18 - 4)!
=> ¹⁸n₄ = 18! / 4! (14)!
=> ¹⁸n₄ = 3060.
Therefore, there are 3060 number of elements in the sample space for this experiment.
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Find the value of
64 2
25
Give your answer as fraction in its simplest form.
Answer: 64/225 is already in simplest form
Step-by-step explanation:
Find the GCD (or HCF) of numerator and denominator GCD (greatest common denominator) of 64 and 225
Divide both the numerator and denominator by the GCD
64÷1/225÷1
fraction: 64/225
Therefore, 64/225 simplified to lowest terms is 64/225.
(a - 2b)³ when a = -2 and b = -1/2
(-2 - 2(-1/2))^3
= (-2 + 1)^3
= (-1)^3
= -1
The sum of an integer and 4 times the next consecutive even integer is 58. Find the
value of the greater integer.
By solving a linear equation, we will see that the value of the greater integer is 12.
How to find the greater integer?Let's define x as the smaller integer, then the greater integer is:
x + 2
(is +2 because is the next consecutive even integer)
We know the sum of an integer and 4 times the next consecutive even integer is 58.
So we can write the linear equation:
x + 4*(x + 2) = 58
x + 4x + 8 = 58
5x = 58 - 8
5x = 50
x = 50/5
x = 10
Then the greater integer is x + 2 = 10 + 2 = 12
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16 divided by 5 = with__ left over
Answer:
3 with 1 left over
Step-by-step explanation:
3 * 5 + 1 = 16
Answer:
3 with 1 left over.
Step-by-step explanation:
16÷5=3remainder1
HOPE IT HELPED
AEFC is a Rectangle
Find:
1) ZX=
2) ZY =
3) ZZ =
Explain:
Explain:
Explain:
Step-by-step explanation:
X = 51. Parallel line angle rules, alternate angle is equal.
Straight angle is 180
Right angle is 90
Y = 180 - 51 - 90 = 39
Z = Y = 39. Parallel line angle rules, alternate angle is equal.
A car service charges $2.40 for driving 1 mile. How much does the company charge for
driving 12.45 miles?
Answer:
no se Perdóname
Answer:
since 1 mile charge is $2.40
Then 12.45 miles is
2.40×12.45
=$29.88
The late fee is $2 regardless of the number of days the movie is late
A shape is picked at random from the group below.
2 circles, 4 triangles, and 2 squares.
Which event has a theoretical probability of exactly Three-fourths? Select three options.
not picking a square
picking a square
picking a triangle
picking a shape that has only straight edges
not picking a circle
*EDIT* sry about the first time I was trying to look it up and only had that part
The events that have probability of exactly three-fourths are
(a) not picking a square ,
(d) picking shape that has only straight edges ,
(e) not picking a circle .
In the question ,
it is given that ,
there are 2 circles , 4 triangles , 2 squares .
(a) probability of not picking a square = ( circles + triangles )/total
= 6/8 = 3/4
(b) probability of picking a square = number of square / total figure
= 2/8 = 1/4
(c) probability of picking up a triangle = 4/8 = 1/2
(d) probability of picking up shape with straight edge = ( triangle + square) / total
= 6/8 = 3/4
(e) probability of not picking a circle = ( triangle + square) / total
= 6/8 = 3/4 .
Therefore , The events that have probability of exactly three-fourths are
(a) not picking a square ,
(d) picking the shape that has only straight edges ,
(e) not picking a circle .
The given question is incomplete , the complete question is
A shape is picked at random from the group of 2 circles, 4 triangles, and 2 squares .
Which event has a theoretical probability of exactly Three-fourths? Select three options.
(a) not picking a square
(b) picking a square
(c) picking a triangle
(d) picking shape that has only straight edges
(e) not picking a circle
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Find the rate of change between the following points:
(1,5)
(-5, 1)
The rate of change between (1,5) and (-5,1) is 0.
What is the rate of change?
The slope is the ratio of the rate of change between two points (also known as the "slope") to (the change in the x coordinate).
Let (x,y)=(1,5), (m,n)=(-5,1)
Rate of change=(n-y)/(m-x)=(-5-(5))/(1-1)=0.
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On my last birthday, a friend said
to me:
"In 15 years' time, your age will be
the square of your age 15 years
ago!"
Can you work out how old I am?
let thee present age be x.
(x-15)^2=x+15
=>x^2–31*x+210=0
=>(x-21)(x-10)=0
x=10 or x=21
present age can not be 10 as it would result at absurd negative age( -5) 15 years ago.
so present age is 21.
Solve each of these equations. Explain or show your reasoning. Reduce all fractions in the lowest terms. Do not convert fractions into decimals.
You'll need to show ALL of your work to receive points.
1. 3b + 9 -5b + 3 = -14 + 6b - 8
2. 2x + 5 - 4x + 8 = 5(5 + 6x) - 12x
I can help you!
Answer:
1) b = 17/4
2) x = -3/5
Step-by-step explanation (question one):
Step 1: Simplify both sides of the equation.
3b +9 + −5b + 3 = −14 +6b +−8
(3b +−5b) +(9 +3)=(6b) +(−14 + −8) (Combine Like Terms)
−2b +12 = 6b −22
Step 2: Subtract 6b from both sides.
−2b +12 −6b = 6b −22 −6b
−8b +12 = −22
Step 3: Subtract 12 from both sides.
−8b +12 −12 = −22 −12
−8b = −34
Step 4: Divide both sides by -8.
(-8b/-8) = (-34/-8)
Step 5: Get your Answer
b = 17/4
Step-by-step explanation (question two):
Step 1: Simplify both sides of the equation.
2x +5 + −4x +8 = (5)(5) +(5)(6x) + −12x (Distribute)
2x +5 + −4x +8 = 25 +30x + −12x
(2x+−4x) + (5+8) = (30x +−12x) +(25) (Combine Like Terms)
−2x +13 = 18x +25
Step 2: Subtract 18x from both sides.
−2x +13 −18x= 18x +25 −18x
−20x +13 = 25
Step 3: Subtract 13 from both sides.
−20x +13 −13 = 25 −13
−20x=12
Step 4: Divide both sides by -20.
(-20x/-20) = (12/-20)
Step 5: Get your Answer
x = -3/5
Hope this helped you, good luck with your homework!
Simplify the expression.
Answer:
A
Step-by-step explanation:
-1/5 j + 3/4 - 5/2 j - 7/8 =
= (-2-25)/10 j + (6-7)/8 =
= -27/10 j - 1/8
If the area of a rectangle is 7y2 - 3y and the width is y, then what is the length of the rectangle?
The length of the rectangle is 7y - 3
What is a Rectangle?
A rectangle is a type of quadrilateral, whose opposite sides are equal and parallel. The area of a rectangle A = L×W
Where,
A = Area of the rectangle which is 7y^2 - 3y
L = Length which is unknown
W = Width of the rectangle which is y
Substituting,
7y^2 - 3y = L × y
divide through by y
(7y^2 - 3y)/y = L
L = 7y - 3
Therefore the length of the rectangle is 7y - 3
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Is 24 simplified expression
find the speed of you walked 5/9 of a mile in 1/4 if an hour written as a fraction
The speed is 20/9 miles per hour.
From the question, we have
In 1/4 hour walked = 5/9 mile
In 1 hour walked = 5/9 *4 mile
=20/9 miles per hour
The speed is 20/9 miles per hour (MPH)
Divide:
Divide, in its simplest form, means to divide into two or more equivalent portions, spaces, groups, or divisions. Divide, in plain English, means to provide the entire thing to a group in equal portions or to divide it into equal pieces. Let's say a square is divided into two triangles with equal areas by a diagonal. A division operation may or may not provide an integer as the outcome. The outcome may occasionally take the form of decimal numbers.
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What is the equation in slope-intercept form of the line that passes through the point (-1,3) and is parallel to the line represented by y=2x−7?
Answer:
y = 2x + 5
Step-by-step explanation:
The slope of 2 parallel line are always the same. This means that we can easily tell that the slope of the equation that we are trying to solve has a slope of 2. To find the "b" in the slope-intercept form, plug in the coordinates given and that's how you get the answer above.
What is the value of
∠E is 74° because it is alternate to the given angle of 74°.
∠E is and the 74° angle are alternate interior angles. Alternate interior angles are a pair of angles on the inner side of two parallel lines. But the angles should be on the opposite sides of the transversal. A transversal line is a straight line that intersects two or more parallel lines.
So here, ∠E and 74° lie on the inner sides of two parallel lines on the opposite sides of the transversal.
Therefore <E = 74°
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√(14)*(3 √(7) + √(32) - √(28) + 2 √(2))
Answer:
27√2 -2√7 ≈ 32.8923
Step-by-step explanation:
Apparently, you want to simplify the expression √(14)*(3 √(7) + √(32) - √(28) + 2 √(2)).
Rules of radicals(√a)(√b) = √(ab)
√(a²b) = a√b
Application[tex]\sqrt{14}\cdot3\sqrt{7}+\sqrt{32}-\sqrt{28}+2\sqrt{2}\\\\=3\sqrt{14\cdot7}+\sqrt{4^2\cdot2}-\sqrt{2^2\cdot7}+2\sqrt{2}\\\\=3\sqrt{7^2\cdot2}+4\sqrt{2}-2\sqrt{7}+2\sqrt{2}=(3\cdot7+4+2)\sqrt{2}-2\sqrt{7}\\\\=\boxed{27\sqrt{2}-2\sqrt{7}}[/tex]
The figures below show the top view and right-side view of a rectangular prism that is completely packed with unit cubes.
How many unit cubes would it take to completely fill the prism with no gaps between unit cubes?
The number of unit cubes it would take to completely fill the prism with no gaps between unit cubes is 72
Calculating the number of cubes required to fill a prismFrom the question, we are to determine how many unit cubes it would take to completely fill the prism with no gaps between unit cubes.
To do this, we will calculate the volume of rectangular prism
Assuming each cube is 1 cubic unit
Then,
From the top view,
The length of the rectangular prism = 9 units
The width of the rectangular prism = 2 units
From the Right-side view,
The height of the rectangular prism = 4 units
Thus,
The volume of the rectangular prism = 9 × 2 × 4
Volume of the rectangular prism = 72 cubic units
Now,
Number of cubes required to fill the rectangular prism = Volume of the prism / Volume of the cubes
Number of cubes required to fill the rectangular prims = 72 / 1
Number of cubes required to fill the rectangular prims = 72
Hence, the number of unit cubes it would take is 72
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This is confusing.
Gradient is???
For the given graph, the gradient of the given blue line in the graph is equal to 2.
As given in the question,
For the given graph,
Consider two pairs of coordinates on the blue line of the given graph,
( x₁ , y₁ ) = ( 2, 2 )
( x₂ , y₂ ) = ( 3, 4 )
Gradient is nothing but slope of the line
Formula to calculate the gradient of the given blue line of the graph is given by:
Gradient = ( y₂ - y₁ ) / ( x₂ - x₁ )
Substitute the value in the formula we get,
Gradient = ( 4 - 2 ) / ( 3 - 2 )
= 2 / 1
= 2
Therefore, for the given graph, the gradient of the given blue line in the graph is equal to 2.
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Look at the picture and answer the four questions
Answer:1=translation, 2= translation, 3=rotation, 4= reflection
Step-by-step explanation:
Write a recursive formula for am, the nth term of the sequence
16, 7, -2, -11, ....
aₙ = aₙ₋₁ - 9 is the recursive formula of Arithmetic progression.
Arithmetic progression is a sequence of number in order with same difference .
A fixed number is added to any term of a AP to get next term . That Fixed number is known as common difference.
In the question,
16 , 7 , -2 , -11 . . . .
First term of AP : a₁ = 16
Second term : a₂ = 7
Common difference : d = a₂ - a₁
=> d = 7 - 16
=> d = -9
The recursive formula of AP : aₙ = aₙ₋₁ + d
Here d = -9 , substituting d
The recursive formula of given AP : aₙ = aₙ₋₁ - 9
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jaskdnojakwhdojsnawdsa
Answer:
The answer is 0.05556
0.5/9 gives you that