Answer:
irrational
Step-by-step explanation:
√3 is irrational.
√9 = 3, and is rational.
√3 × √9 = 3√3
The product of a rational number and an irrational number is irrational.
If a unicorn is 410.7 ounces of jellybeans six times a day how many ounces does it eat in one day
Answer:
2463.6 oz
Step-by-step explanation:
410.7 x 6
=2463.6 ounces in a day
4x plus 1 divided by 3 equals x minus 5 divided 2
After solving the equation, the value obtained for x will be equal to -17/5.
What is an equation?Mathematical expressions with two algebraic symbols on either side of the equal (=) sign are called equations.
This relationship is illustrated by the left and right expressions being equal to one another. The left-hand side equals the right-hand side is a basic, straightforward equation.
As per the given statement in the question,
The equation for the given statement will be,
(4x + 1)/3 = (x - 5)/2
8x + 2 = 3x - 15
8x - 3x = -15 - 2
Solve the equation for x.
5x = -17
x = -17/5
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please if you can answer asap: When the vertical line test shows that there is one and only one range item for each domain item we call that relationship what?
Answer:
the relationship is a function....
For questions #7 and 8, find each value or measure.
Answer:
7 ans=26
Step-by-step explanation:
7)
both chords are equal so
9x-1=41-5x
14x=42
x=3
now,
41-5*3=26
Answer:
EF = 26
x = 10
Step-by-step explanation:
7.
Since it is given that EF and arc CD are equal, we can set up an equation to find the value of EF.
EF=CDSubstitute the given values of CD and EF into the equation:
41−5x=9x−1Solve for x by adding 5x to both sides and adding 1 to both sides:
42=14xDivide both sides by 14 to find the value of x:
x=3Substitute the value of x into the equation for EF:
EF=41−5xEF=41−5(3)EF=26So the value of EF is 26.
A camera shop stocks six different types of batteries, one of which is type A7b. Suppose that the camera shop has only twelve A7b batteries but at least twenty of each of the other types. Now, choose the correct answer for the following question - How many ways can a total inventory of twenty batteries be distributed among the six different types? C(24, 20) - C(12,7) C(25, 20) - C(12,7) C(20, 15) - C(13,7) C(25, 20) - C(13,7)
D: C(25, 20) - C(13,7) represents the number of ways a total inventory of twenty batteries be distributed among the six different types.
To find the total number of ways to distribute the twenty batteries among the six different types, we need to use the stars and bars method. Using this method, the number of ways to distribute 20 batteries among 6 different types is C(20 + 6 - 1, 6 - 1) = C(25, 5).
However, since we have only 12 A7b batteries, we need to subtract the cases where we distribute more than 12 A7b batteries. To do this, we calculate the number of ways to distribute the remaining 8 batteries among the 5 types other than A7b, which is C(8+5-1, 5-1) = C(12,4). Therefore, the total number of ways to distribute 20 batteries among the six different types while keeping at least 12 A7b batteries is C(25, 5) - C(12, 4) = C(25, 20) - C(13, 7).
The correct answer is option D.
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The time, T, until failure of a machine is uniformly distributed on 2 St S 10. The machine will be replaced at the earlier of failure time or time 7. Let X be the time the machine is replaced. Compute E[X]
The expected time, E[X], for the machine to be replaced can be calculated by considering two scenarios: when the machine fails before time 7 and when the machine lasts beyond time 7.
1. In the first scenario, if the machine fails before time 7, then X is equal to the time of failure. Since the failure time T is uniformly distributed between 2 and 10, the average value of T is (2 + 10) / 2 = 6. Therefore, if the machine fails before time 7, E[X] is equal to the average failure time, which is 6.
2. In the second scenario, if the machine lasts beyond time 7, then X is equal to 7, as the machine will be replaced at time 7. Since this scenario occurs with a probability of (10 - 7) / (10 - 2) = 3/8, the contribution of this scenario to E[X] is (3/8) * 7 = 21/8.
3. Combining both scenarios, the overall expected time E[X] is given by E[X] = (6 * P(T < 7)) + ((21/8) * P(T >= 7)). Since P(T < 7) = (7 - 2) / (10 - 2) = 5/8 and P(T >= 7) = 1 - P(T < 7) = 3/8, we can substitute these values to find E[X] = (6 * (5/8)) + ((21/8) * (3/8)) = 105/32.
4. Therefore, the expected time for the machine to be replaced, E[X], is 105/32.
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The function f(x) = x^5 + (x + 3)^2 is used to create this table. Which value completes the table?
If the function f(x) = x⁵ + (x + 3)² will be 3 then x = -1.
What is meant by function?The graph is a function if any vertical line drawn through it can cross it at most one point. The graph is not a function if it has any locations where a vertical line can pass through the graph at two or more different places.
A mathematical function from a set X to a set Y assigns exactly one element of Y to each element of X. The function's domain and codomain, respectively, are the sets X and Y as a whole. Initially, functions represented the desired relationship between two fluctuating values.
A function is a relation that specifically links members of one set to those of another set. Formally speaking, a function from to is an object such that each is specifically connected with an object. Therefore, a function is a many-to-one (or occasionally, a one-to-one) relation.
Let the given function be f(x) = x⁵ + (x + 3)²
When x = -1 then f(-1) = (-1)⁵ + (-1+3)² = -1 + 4 = 3.
Therefore, the function f(x) = x⁵ + (x + 3)² will be 3 then x = -1.
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Can you help me with this I really need it it is for a test
Answer:
90
Step-by-step explanation:
each dot = 45 bc 540 / how many dots there are which is 12 = 45 then there are 2 dots worth of 45 making it 90
math
540/12=45
45 x 2 = 90
Answer: 135 students
Step-by-step explanation:
1. Divide 540 (total number of students) by the number of dots (12)
2. So then 540/12= 45
3. Then see how many dots are more then 5 miles away so that is 3 dots (2dots on 6 miles, and 1 dot on 7 miles)
4. After 45*3= 135
translate the phrase into an algebraic expression
The sum of c and 4
Answer:
C+4
Step-by-step explanation:
Find the standard form of the equation of the parabola with the given characteristics and vertex at the origin. Directrix: x = -4.
The standard form of the equation of the parabola with the given characteristics and vertex at the origin is: \(y^2 = 16x\).
What is the equation of the parabola with vertex at the origin and directrix x = -4?In the standard form of a parabola's equation, \(y^2 = 4px\), the vertex is located at the origin (0, 0). In this case, the directrix is a vertical line with the equation \(x = -4\). Since the vertex is at the origin, the value of p represents the distance from the vertex to the focus and also from the vertex to the directrix. Therefore, p = 4. Plugging this value into the equation, we get \(y^2 = 4(4)x\), which simplifies to \(y^2 = 16x\). This is the standard form of the equation for the parabola with the given characteristics.
Parabolas have fascinating properties and are commonly encountered in mathematics and physics. They exhibit symmetry and are characterized by their vertex, focus, and directrix.
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Can please help me with this question
The possible coordinates of point G on the number line is -15 and 7.
How to find the coordinates on a number line?On the number line, point E has the coordinates of - 4, and EG = 11 .
The possible coordinates of point G are as follows:
A number line is a horizontal straight line with numbers placed at equal distances from each other along that line.
Negative numbers are on the left side while the positive numbers are on the right side.
Therefore, the possible coordinates of G is when we go left or right side of E on the number line.
Hence,
Let's go left E to G on the number line
-4 - 11 = -15Let's go right E to G on the number line
-4 + 11 = 7Therefore, the possible coordinates of point G on the number line is -15 and 7.
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If BC = 6 and AD = 5, find DC.
WORTH 21 POINTS!!! Find the area of the shaded regions
Answer:
84.823005
Step-by-step explanation:
π6^2=113.09734
(360-90)/360=3/4
3/4* 113.09734=84.823005
Step-by-step explanation:
area of circle=
\(\pi \: r ^{2} \)
22/7×6×6=113.14
=3/4of 113.14
=84.55cm²
In a right triangle two of the angle measurements are equal find the value of X the number of degrees in each of the equal angle measurements
The unknown angles of the right angle triangle is 45 degrees.
How to find the angle of a right triangle?A right angle triangle is a triangle with one angle equals to 90 degrees. The sum of angles in a triangle is 180 degrees.
Therefore, the right triangle has two angle measurements that are equal to each other. The third angle is 90 degrees.
Therefore, let's find the angles measure x, the two other equal angles.
Hence,
x + x + 90 = 180
2x + 90 = 180
subtract 90 from both sides of the equation
2x + 90 = 180
2x + 90 - 90 = 180 - 90
2x = 90
divide both sides by 2
x = 90 / 2
x = 45 degrees
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x^3=-115 pleasess i need the answer now
Answer:
x = -∛115
Step-by-step explanation:
x^3 - (-115) = 0
= x^3 + 115
Factoring
(a+b) • (a^2-ab+b^2) =
a^3-a^2b+ab^2+ba^2-b^2a+b^3 =
a^3+(a^2b-ba^2)+(ab^2-b^2a)+b^3=
a^3+0+0+b^3=
a^3+b^3
(115 isn't a cube.)
Polynomial roots
P: -1, -5, -23, -115, 1, 5, 23, 115
Q: 1
P/Q: -1, -5, -23, -115, 1, 5, 23, 115
Divisor(s): None
In these sets of data, there are no rational roots shown.
Step-by-step explanation(part 2):
x^3 + 115 = 0
x^3 = -115
x = ∛-115
Negative numbers will always have real cube roots.
∛ -115 = ∛ -1 × 115 = ∛ -1 × ∛ 115 = (-1) × ∛ 115
Therefore,
x = -∛115
What is 1/2 to the power of 5??
Answer:
1/32
Step-by-step explanation:
Determine if the question posed is a statistical question (yes) or not (no). How many apps do my classmates have on their phones?
Answer:
Statistical
Step-by-step explanation:
You need to collect data to determine the answer of that.
Answer:
Yes
Step-by-step explanation:
"How many apps do my classmates have on their phones?" This is a statistical question because a statistical question has to be a question that can be used to collect data. If the question was something like "How many apps does Melissa have on her phone?" it would NOT be a statistical question because it is only asking about one specific person and you wouldn't be collecting data.
I wasn't really sure how to explain it but I hope it makes sense! :)
A cylindrical tank with a radius of 12 inches and a height of 20 inches is full of water. does the tank have enough water to fill 250 spherical shaped water balloons if each of the water balloons has a radius of 2 inches? Explain plz
Answer:
yes It has
Step-by-step explanation:
v of the tank
v= \(\pi\)r^2 h
v=3.14*144*20
v=9034
the v of each ballon :
V = 4/3 \(\pi\)r^3
v=4/3 * 3.14 .8
v= 33.5
all the ballons v is 250 * 33.5 = 8373
9034-8373 = 661 v of the water in the tank would be left
A local store advertises a sale on fruit snacks. Fruity Chews come in a 19 ounce package for $7.99 . About how much will customers pay per ounce?
Answer:
7.99/19= 0.42052631578
about 0.42 per pound
Step-by-step explanation:
What is the point-slope form of a line that has a slope of 3 and passes through point (1, 4)?
y minus 4 = 3 (x minus 1)
1 minus y = 3 (x minus 4)
y 1 minus 4 = 3 (1 minus x 1)
1 minus y 1 = 3 (4 minus x 1)
Answer:
the answer is A
Step-by-step explanation:
y-4 = 3 (x-1)
Which ordered pair is a solution to the system of linear equations One-half x minus three-fourths y = StartFraction 11 Over 60 EndFraction and Two-fifths x + one-sixth y = StartFraction 3 Over 10 EndFraction?
The ordered pair (x, y) = (3/5, 1/2) satisfies both equations in the given system, making it the solution.
The solution to the given system of linear equations is the ordered pair (x, y) = (3/5, 1/2). This means that when x is equal to 3/5 and y is equal to 1/2, both equations are satisfied simultaneously.
In the first equation, One-half x minus three-fourths y equals 11/60.
By substituting x = 3/5 and y = 1/2 into this equation, we have (1/2)(3/5) - (3/4)(1/2) = 11/60, which simplifies to 3/10 - 3/8 = 11/60. By further simplifying, we get 24/80 - 30/80 = 11/60, which is true since both sides are equal to 11/60.
Similarly, in the second equation, Two-fifths x plus one-sixth y equals 3/10.
Substituting x = 3/5 and y = 1/2, we have (2/5)(3/5) + (1/6)(1/2) = 3/10, which simplifies to 6/25 + 1/12 = 3/10.
By finding a common denominator and simplifying, we get 144/600 + 50/600 = 180/600, which is also equal to 3/10.
Thus, the ordered pair (x, y) = (3/5, 1/2) satisfies both equations in the given system, making it the solution.
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Rewrite the following fractions so that they have the same denominator 2/5 and 1/7
A . 7/35 and 5/35
B . 2/35 and 1/35
C . 2/15 and 1/15
D . 14/35 and 5/35
The equivalent fractions of 2/5 and 1/7 are 14/35 and 5/35
How to rewrite the fractions?From the question, the fractions are given as
2/5 and 1/7
The denominators of the fractions are
Denominators = 5 and 7
Take the LCM of the denominators
LCM = 5 * 7
Evaluate
LCM = 35
This means that the denominators of the equivalent fractions must be 35
When this is done, we have
14/35 and 5/35
This is done by multiplying the numerator and the denominator by the same factor
Hence, the fractions are 14/35 and 5/35
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Wesley power tools manufactures a wide variety of tools and accessories. one of its more popular items is a cordless power handisaw. each handisaw sells for $50. wesley expects the following unit sales:
The total sales revenue that is expected from the sale of cordless power handisaw for the next eight months is $120,000.
Wesley Power Tools, a company that manufactures a wide range of tools and accessories, has one of its most popular products in the form of a cordless power handisaw that is sold for $50 per unit. Here are the expected unit sales: Month Unit SalesApril100 May250 June400 July600 August450 September300 October200 November100. The total sales revenue for each of the given months will be obtained by multiplying the unit sales by the price per unit. For instance, the total sales revenue for April will be $5,000 (i.e. 100 x $50).Similarly, the total sales revenue for each of the remaining months can be calculated as follows:
May: 250 x $50 = $12,500
June: 400 x $50 = $20,000
July: 600 x $50 = $30,000
August: 450 x $50 = $22,500
September: 300 x $50 = $15,000
October: 200 x $50 = $10,000
November: 100 x $50 = $5,000
The sum of the sales revenue for each month can be calculated as follows:$5,000 + $12,500 + $20,000 + $30,000 + $22,500 + $15,000 + $10,000 + $5,000= $120,000
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Life insurance companies take risks much like arcade game owners take risks. Mollie has a booth on a popular beach boardwalk. She charges $2 per game. Winners receive a $5 prize. The probability of winning the game is 0.1.
Mollie can expect to lose $1.50 per game played.
To solve this problem
What is Mollie's expected profit per game, assuming players play only once?
First, let's calculate the expected revenue per game:
Probability of winning: 0.1
Revenue from winners: $5
Probability of losing: 0.9
Revenue from losers: $0
Expected revenue per game = (0.1 x $5) + (0.9 x $0) = $0.50
Now, let's calculate the expected cost per game:
Cost per game: $2
Expected cost per game = $2
Therefore, Mollie's expected profit per game is:
Expected profit per game = Expected revenue per game - Expected cost per game
Expected profit per game = $0.50 - $2
Expected profit per game = -$1.50
This means that, on average, Mollie can expect to lose $1.50 per game played.
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I need help!!
Which of the following expression is equal to y/x^2?
In a cinema hall a total of 215 tickets were sold. Some were sold at $8 and others at $12. If the total amount collected was 2180, how many $8 tickets were sold
Answer: 100 tickets.
Step-by-step explanation:
Number of $8 tickets sold = xNumber of $12 tickets sold = ySet up two equations: one representing total amount sold and another representing total dollars earned.
\(\left \{ {{x+y=215} \atop {8x+12y=2180}} \right.\)
Rearrange x + y = 215 and find the value of x:
\(x+y=215\\x=215-y\)
Substitute it into the other equation and solve for y:
\(8x+12y=2180\\8(215-y)+12y=2180\\1720-8y+12y=2180\\4y=2180-1720\\4y=460\\y=\frac{460}{4} =115\)
Substitute in the y-value to the other expression to find x:
\(x+y=215\\x+115=215\\x=215-115=100\)
Therefore, they sold 100 of the $8 tickets.
Which correlation coefficient indicated
the worst fit of a linear model to a set of
data?
A. 0.25 B. 0.5 C. 0.75 D. 1.00
Answer:
A. 0.25
Step-by-step explanation:
The strongest correlation coefficients are those closest to 1 or -1, while the weakest are closer to 0. The number closest to zero out of these coefficients is 0.25.
WILL GIVE BRAINLIEST!! Please help!
Answer si amigo
Step-by-step explanation:
which career would be most rewarding forensic analyst or geologist and why?
The most rewarding career would be that of a forensic analyst .
What is the career?By examining the evidence and contributing their scientific knowledge, forensic analysts play a significant part in criminal investigations. This vocation might be very fulfilling if you have a passion for resolving crimes and improving the justice system.
By assisting in the identification of perpetrators, exposing the guilty, and providing closure to victims and their families, forensic analysis has a direct impact on society. The project may have a significant and noticeable effect on people's lives.
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How to convert centimeters into millimeters?
Answer: Multiply the centimeters number by 10.
Step-by-step explanation: There are 10 millimeters in every centimeter.