Answer:
$3.45
Step-by-step explanation:
$20.30 / 10 = $2.30 = 10%
$2.30 / 2 = $1.15 = 5%
$2.30 + $1.15 = $3.45 = 15%
Type 4/6 in the simplest form
Answer:
2/3
Step-by-step explanation:
Answer:
2/3
Step-by-step explanation:
To solve this simplest form, you'd need to divide 2 from numerator into denominator.
4/2=2
6/2=3
2/3, which is our answer.
I hope this helps!
consider the function: f(x) = x2 - 6x + 9. determine the value of
f(1/2)
Step-by-step explanation:
f(x) = x² − 6x + 9
f(½) = (½)² − 6(½) + 9
f(½) = ¼ − 3 + 9
f(½) = 6¼
The value is 6¼, or as an improper fraction, 25/4.
Answer: The correct answer is: " 6 [tex]\frac{1}{4}[/tex] " ;
_______________________________________________
or; write as: " 6.25 " .
______________________________________________
" f([tex]\frac{1}{2})[/tex] = 6 [tex]\frac{1}{4}[/tex] " ;
= 6.26 " .
______________________________________________
Step-by-step explanation:
______________________________________________
Given the function:
______________________________________________
" f(x) = x² − 6x + 9 " ;
______________________________________________
What is: " f([tex]\frac{1}{2}[/tex]) " ?
______________________________________________
Plug in "([tex]\frac{1}{2}[/tex])" for all values of "x" in the equation;
→ to solve for: " f([tex]\frac{1}{2}[/tex]) " ; as follows:
______________________________________________
→ " f([tex]\frac{1}{2}[/tex]) " ;
= ([tex]\frac{1}{2}[/tex])² − 6*([tex]\frac{1}{2}[/tex]) + 9 ;
= ([tex]\frac{1^{2} }{2^{2}}[/tex]) − ([tex]\frac{6*1}{2}[/tex]) + 9 ;
= ([tex]\frac{1}{4}[/tex]) − ([tex]\frac{6}{2}[/tex]) + 9 ;
= ([tex]\frac{1}{4}[/tex]) − 3 + 9 ;
Note: " - 3 + 9 " = 9 + (-3) = 9 − 3 = " 6 " ;
So: Rewrite as:
______________________________________________
→ " ([tex]\frac{1}{4}[/tex]) + 6 " ;
______________________________________________
→ which equals: " 6 [tex]\frac{1}{4}[/tex] " ;
_______________________________________________
or; write as: " 6.25 " .
_______________________________________________
Hope this answer —and lengthy explanation — is helpful to you!
Wishing you the best in your academic endeavors
— and within the "Brainly" community!
_______________________________________________
In how many ways can we put five identical fruits into three bowls? Note that the bowls may be empty.
The number of ways to distribute five identical fruits into three bowls is solved using the stars and bars technique in combinatorics, resulting in 21 different ways.
Explanation:The student is asking about the number of ways to distribute five identical fruits into three bowls, where bowls can be left empty.
This problem is a classic example of a combinatorial problem in mathematics, often approached using the stars and bars method.
The stars and bars technique is a way to solve problems related to distributing indistinguishable items into distinguishable groups.
To solve this, think of the five identical fruits as stars (*) and the separations between bowls as bars (|).
We need to place two bars to create three sections (bowls) among the five stars.
The question then becomes: In how many ways can we arrange five stars and two bars?
This is equivalent to choosing two places for bars out of seven possible positions (five stars plus two bars).
The number of ways we can choose two positions out of seven for the bars is given by the combination formula C(n, k) = n! / (k!(n - k)!), where n is the total number of items and k is the number of items to choose.
In this case, C(7, 2) = 7! / (2!5!) = 21 ways.
Therefore, there are 21 different ways to distribute five identical fruits into three bowls.
What is the value of Z?
Answer:
Step-by-step explanation:
Both x and y are inscribed angles. The value of an inscribed angle is half the measure of its intercepted arc. This means that x has a value of 33°, and y has a value of 48°. That means that, according to the triangle angle sum theorem, the third angle has to equal 180 - 33 - 48 = 99°.
This angle is vertical with angle z, so angle z also equals 99°
The price of a particular snack at a ballpark seems to affect the number sold in a way such that the product of the number sold and the price in dollars is roughly constant. The table shows some of the data. Price (dollars) Number sold 1.00 2100 1.50 1400 2.00 1050 2.50 840 Is the data linear? Why or why not?
Answer:
not linearan inversely proportional relationship is non-linearStep-by-step explanation:
No, the relationship is not linear. It is "roughly" an "inversely proportional" relationship, not a linear relationship. (Read the problem statement: "the product of the number sold and the price in dollars is roughly constant".)
__
The points, when graphed, are not on a straight line.
Answer:
b
Step-by-step explanation:
just took the test
x − 3 − 2(6 − 2x) = 2(2x − 5)
Multiply the first bracket by -2
Multiply the second bracket by 2
x-3-12+4x= 4x-10
- negative number times + positive number= - negative number
- negative number times -negative number = + positive number
x+ 4x-3-12= 4x-10
5x-15= 4x-10
Move 4x to the other side
5x-4x-15= 4x-4x-10
x-15= -10
Move -15 to the other side
x-15+15= -10+15
x= 5
Answer : x= 5
Answer: X = 5
Step-by-step explanation:
x - 3 - 2(6-2x) = 2(2x-5)
x - 3 - (12-4x) = (4x-10)
Simplify
5x - 15 = 4x - 10
Then move to common sides giving you the answer
X = 5
In which graph does each vertex have the same degree?
Answer:
graph 1
Step-by-step explanation:
Let's look at graph 1:
The first vertex (the left hand top corner) has a degree 3 because there are 3 line segments coming from it.
Let's check to see if the other vertices have degree 3.
The second vertex (the middle top) has degree 3 because again it has 3 line segments coming from it.
The third vertex (the top right) has degree 3 because it has 3 line segments coming from it.
The fourth vertex (the bottom left) has degree 3 because it has 3 line segments coming from it.
The fifth vertex (the middle bottom) has degree 3 because it has 3 line segments coming from it.
The last vertex (the bottom right) has degree 3 because it has 3 line segments coming from it.
Let's look at graph 2:
The first vertex (top left) has degree 1 because it has one line segment coming from it.
The second vertex( middle top) has degree 2 because it has 2 line segments coming from it.
Graph 2 doesn't have the same degree per vertex.
Looking at graph 3:
The first vertex (top left) has degree 1 while the second (top middle) has degree 2.
Graph 3 doesn't have the same degree per vertex.
Looking at graph 4:
The top left has degree 1. Looking at one of the middle vertices there, they have degree 4 each because they have 4 line segments coming from it. So graph 4 doesn't have the same degree per vertex.
The answer is only graph 1.
Please help ! just for my notes HOW DO WE USE COORDINATES TO CLASSIFY POLYGONS ON THE COORDINATE PLANE?
Explanation:
Polygons are classified by ...
number of sides (or vertices)relationship of sides to each other (parallel, perpendicular, other)relative angle sizes (all equal, some equal, none equalrelative side lengths (all equal, some equal, none equal)The number of coordinate pairs will define the number of vertices.
The differences between "adjacent" coordinate pairs can be used to find side lengths and relationships (angles, parallel, perpendicular).
_____
If the differences between adjacent coordinate pairs are ...
(∆x, ∆y) = (x2 -x1, y2 -y1)
then the slope of the line joining those coordinates is ∆y/∆x. (This may be "undefined" if ∆x = 0.) Two line segments with the same slope are parallel. Two line segments with slopes that have a product of -1 are perpendicular. (Two segments with slopes of 0 and "undefined" are also perpendicular.)
It can be useful on occasion to know that the angle (α) a line segment makes with the x-axis can be found from ...
α = arctan(slope)
The length of a line segment (d) can be found from the Pythagorean theorem:
d = √((∆x)² +(∆y)²)
Write a polynomial function of least degree with integral coefficients that has the given zeros. –2, –3,3 – 6i
[tex](x-(-2))(x-(-3))(x-(3-6i)(x-(3+6i))=\\(x+2)(x+3)(x-3+6i)(x-3-6i)=\\(x^2+3x+2x+6)((x-3)^2+36)=\\(x^2+5x+6)(x^2-6x+9+36)=\\(x^2+5x+6)(x^2-6x+45)=\\x^4-6x^3+45x^2+5x^3-30x^2+225x+6x^2-36x+270=\\x^4-x^3+21x^2+189x+270[/tex]
PLEASE HELP ME I REALLY NEED HELP :(
WILL MARK BRAINLIEST
Answer:
a) t = 2 seconds
b) 6.05 meters
Step-by-step explanation:
I prefer a graph for questions like this, but I have attached a table, too. Here, the table is created using a graphing calculator to evaluate the function. A spreadsheet can do this nicely, too.
The maximum height occurs at t=0.9 seconds, and the ball hits the ground at a time that is slightly more than double that, 2.0 seconds.
The maximum height is 6.05 meters.
PLS HELP SHOW ALL YOUR WORKING OUT
Answer:
V = 1 1/4 m³
M = 3000.0 kg
Step-by-step explanation:
Volume = Length × Width × Height
2 1/2 x 3/4 x 2/3
V = 1 1/4
M= 2.5m ⋅ 0.75m ⋅ 0.666666666666m ⋅ 2400kg/m³
Answer:
(a) 1.25 m^3
(b) 3000 kg
Step-by-step explanation:
(a) The volume of a rectangular prism is L*W*H.
So volume = [tex](2\frac{1}{2})(\frac{3}{4})(\frac{2}{3})=1.25 m^3[/tex]
(b) The mass=density*volume.
So mass = [tex]2400 \frac{kg}{m^3} \cdot 1.25 m^3=3000 kg[/tex].
A certain city has one chance in two of receiving rain on June 1, one chance in five of receiving rain on July 1, and two chances in three of receiving rain on August 1. What is the probability that the city will receive rain on none of these days?
(A) 2/15
(B) 2/5
(C)14/15
Answer:
So the probability that the city won't receive rain on none of these days is [tex]\frac{2}{15}[/tex]
Step-by-step explanation:
From the question we know that the probability of rain on June 1 is [tex]\frac{1}{2}[/tex], on July 1 is [tex]\frac{1}{5}[/tex] and in August 1 is [tex]\frac{2}{3}[/tex], So the probability of no rain at any of these days is calculate as:
For June 1:
[tex]P(no-rain)=1-\frac{1}{2} =\frac{1}{2}[/tex]
For July 1:
[tex]P(no-rain)=1-\frac{1}{5} =\frac{4}{5}[/tex]
For August 1:
[tex]P(no-rain)=1-\frac{2}{3} =\frac{1}{3}[/tex]
So the probability that the city won't receive rain on none of these days is the multiplication of the probabilities of no rain for every one of these days. Then:
[tex]P=\frac{1}{2} *\frac{4}{5} *\frac{1}{3} =\frac{4}{30}[/tex]
Simplified the value of P, we obtain: [tex]P=\frac{2}{15}[/tex]
In a certain deck of cards, each card has a positive integer written on it. In a multiplication game, a child draws a card and multiplies the integer on the card by the next larger integer. If each possible product is between 15 and 200, then the least and greatest integers on the cards could be
Answer:
4 and 13
Step-by-step explanation:
You want integer solutions to ...
15 ≤ n(n+1) ≤ 200
If we let the limits be represented by "a", then the equality is represented by ...
n² +n -a = 0
(n² +n +1/4) -a -1/4 = 0
(n +1/2)^2 = (a +1/4)
n = -1/2 + √(a +1/4)
For a=15, we have
n ≥ -1/2 + √15.25 ≈ 3.4 . . . . . minimum n is 4
For a=200, we have
n ≤ -1/2 + √200.25 ≈ 13.7 . . . maximum n is 13
The least and greatest integers on the cards are 4 and 13.
Which problem could be solved with the expression 3(5-2)-1?
CHOOSE 1 ANSWER:
A.) Ralph's problem
B.) Stephanie's problem
C.) Orlando' problem
Kinda need help on this one!!
B
3+5=8
8-2=6
6-1=5
Answer 5
Answer:
The correct option is C.
Step-by-step explanation:
We need to find the problem that could be solved with the expression 3(5-2)-1.
The solution of given expression is
[tex]3(5-2)-1=8[/tex]
1. Ralph's problem
His 5 toy cars, he gave two to his sister = 5 - 2
After that he found one more toy car = 5-2+1
Then, he decided to go to the store and triple his number of cars, therefore the total number of toys = 3(5-2+1) =12
2. Stephanie's problem
Stephanie had 3 apples. Then, she found 5 more = 3+5
but immediately ate 2 of them = 3+5-2
Several minutes later, she ate 1 more, therefore the total number of apples = 3+5-2-1 = 5
3. Orlando' problem
Orlando had 5 action figures but decided to give 2 of them to his younger brother = 5-2
His parents were so impressed with his kindness that thy tripled the action figures he had left = 3(5-2)
Since he got so many new action figures, then he gave 1 more to his brother, therefore the total number of action figures = 3(5-2)-1 = 8
Orlando' problem could be solved with the expression 3(5-2)-1. Therefore the correct option is C.
What type of function families have maximum and minimum values? An exponential function does not have a maximum or minimum value why?
Explanation:
Any function that has a derivative that changes sign will have an extreme value (maximum or minimum). If the derivative never changes sign, the function will not have any extreme values.
__
Logarithmic, exponential, and certain trigonometric, hyperbolic, and rational functions are monotonic, having a derivative that does not change sign. Odd-degree polynomials may also have this characteristic, though not necessarily. These functions will not have maximum or minimum values.
__
Certain other trigonometric, hyperbolic, and rational functions, as well as any even-degree polynomial function will have extreme values (maximum or minimum). Some of those extremes may be local, and some may be global. In the case of trig functions, they may be periodic.
Composite functions involving ones with extreme values may also have extreme values.
What is the correct height ?
Answer:
30 Inches
Step-by-step explanation:
Please refer to the image we have attached to this.
The frame is ABCD and The diagonal is AC, which is 50 inches long and making an angle of 36.87° from the bottom of the frame.
We are asked the height of the frame which is h in this image. We are going to use the trigonometric ratios in order to find the same.
[tex]\sin \theta = \frac{opposite}{Hypotenuse}[/tex]
[tex]\sin 36.87[/tex]° = [tex]\frac{h}{50}[/tex]
[tex]0.60=\frac{h}{50}[/tex]
[tex]h=0.60 \times 50[/tex]
[tex]h=30[/tex]
hence height of the frame is 30 inches
QUESTION - At a frozen yogurt store, customers are given the option of a juice-filled gelatin sphere as a yogurt topping. Each sphere contains 36π cubic millimeters of juice. Which statements are accurate?
A) The radius of the sphere is 3 millimeters.
B) The circumference of the sphere is 6π millimeters.
C) The radius of the sphere is 9 millimeters.
D) The circumference of the sphere is 18π millimeters.
E) The radius of the sphere is 12 millimeters.
F) The circumference of the sphere is 24π millimeters.
Answer:
A) The radius of the sphere is 3 millimeters.B) The circumference of the sphere is 6π millimeters.Step-by-step explanation:
Based on the answer selections, it appears we need to find the radius and circumference of the sphere. We can start with the volume formula in terms of the radius:
V = (4/3)πr³
36π = (4/3)πr³
(36π)(3/(4π)) = r³ = 27 . . . . . . mm³
r = ∛27 = 3 . . . . mm³
Then the circumference is ...
C = 2πr = 2π(3 mm) = 6π mm
The radius is 3 mm; the circumference is 6π mm.
Answer:
a and b is the answer
Step-by-step explanation:
The computers of six faculty members in a certain department are to be replaced. Two of the faculty members have selected laptop machines and the other four have chosen desktop machines. Suppose that only two of the setups can be done on a particular day, and the two computers to be set up are randomly selected from the six (implying 15 equally likely outcomes; if the computers are numbered 1, 2,…, 6, then one outcome consists of computers 1 and 2, another consists of computers 1 and 3, and so on). a. What is the probability that both selected setups are for laptop computers
Answer:
The answer is 0.067.
Step-by-step explanation:
Let the entire sample size be = s
Now there are 2 laptops in sample size, hence these can be chosen in one way only.
The required probability that both selected setups are for laptop computers can be found as:
[tex]p(two laptops)=\frac{s(two laptops)}{s}[/tex]
= [tex]\frac{1}{15}[/tex] or 0.067.
So, the probability is 0.067.
The probability of both selected setups being for laptop computers is 2/15.
Explanation:The probability of both selected setups being for laptop computers can be calculated as the ratio of favorable outcomes to total outcomes. Out of the six computers, two have been selected to be laptops. The first laptop can be any of the two laptops, and the second laptop can be any of the remaining one laptop. Therefore, the probability of both selected setups being for laptop computers is 2/15.
Learn more about Probability here:https://brainly.com/question/32117953
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The radius of a puddle is claimed to be 12.0 inches, correct to within 0.01 inch. Use linear approximation to estimate the resulting error, measured in square inches, in the area of the puddle.
Answer:
I think the answer is 23
Answer:
the resulting error is about 0.754 in²
Step-by-step explanation:
A(r) -A(r0) ≈ dA/dr·(r -r0)
The area of a circle is given by ...
A(r) = πr²
so the derivative is
dA/dr = 2πr
and the area error is ...
dA/dr·(r -r0) = 2π(12 in)(0.01 in) = 0.24π in² ≈ 0.754 in²
Kylie and her children went into a bakery and she bought $10 worth of donuts and brownies. Each donut costs $1.25 and each brownie costs $2.50. She bought twice as many donuts as brownies. Determine the number of donuts and the number of brownies that Kylie bought.
Answer:
4 donuts and 2 brownies
Step-by-step explanation:
Guess and check
2 donuts --> $2.50
1 brownie -->$2.50
Since the amount of donuts is double,
we try :
4 donuts -->$1.25(4) = $5
2 brownies --> $2.50(2) = $5
Answer:
she bought 4 donuts and 2 brownies.
Step-by-step explanation:
This is a question on simultaneous equations where two variable are given with two or more relational equations. if she bought $10 worth of donuts and brownies, and each donut costs $1.25 and each brownie costs $2.50.
Then,
1.25d + 2.50b = 10 where d and b are the numbers of donuts and brownies purchased respectively.
if She bought twice as many donuts as brownies, then
d = 2b
Therefore,
1.25(2b) + 2.50b = 10
5b = 10
b = 2
d = 2 × 2 = 4
Hence she bought 4 donuts and 2 brownies.
Allana used Fraction 3 over 5 yard of fabric to make a scarf. Can she make 2 of these scarves with Fraction 1 and 7 over 10 yards of fabric, and why? No, because the quotient of Fraction 1 and 7 over 10 ÷ Fraction 3 over 5 is 1 and 1 over 50 No, because the quotient of Fraction 3 over 5 ÷ Fraction 1 and 7 over 10 is 1 and 1 over 50 Yes, because the quotient of Fraction 1 and 7 over 10 ÷ Fraction 3 over 5 is 2 and 5 over 6 Yes, because the quotient of Fraction 3 over 5 ÷ Fraction 1 and 7 over 10 is 2 and 5 over 6
Answer:
Step-by-step explanation:
Divide 1 7/10 by 3/5 to see if the quotient is greater than 2. If it's not, you can't get 2 scarves out of it. If it is, then you can get 2 scarves out of it and have whatever the remainder is as left-over. Before we divide, let's change that 1 7/10 into an improper fraction since it will be easier to work with.
1 7/10 = 17/10
Now we can divide:
[tex]\frac{\frac{17}{10} }{\frac{3}{5} }[/tex]
The rule for dividing fractions is that you bring up the lower fraction and flip it to multiply, so that looks like this:
[tex]\frac{17}{10}[/tex]×[tex]\frac{5}{3}[/tex]
To simplify before we multiply, we can reduce between the 5 and the 10 and have smaller numbers to deal with:
[tex]\frac{17}{2}[/tex]×[tex]\frac{1}{3}[/tex]
The product there is [tex]\frac{17}{6}=2\frac{5}{6}[/tex]
So the answer you want from your choices is
"Yes, because the quotient of Fraction 1 and 7 over 10 [division sign]Fraction 3 over 5 is 2 and 5 over 6", third choice
Answer:
Yes, because the quotient of Fraction 1 and 7/10 [division sign]Fraction 3/5 is 2 and 5/6", third choice
Step-by-step explanation:
Divide 1 7/10 by 3/5 to see if the quotient is greater than 2. If it's not, you can't get 2 scarves out of it. If it is, then you can get 2 scarves out of it and have whatever the remainder is as left-over. Before we divide, let's change that 1 7/10 into an improper fraction since it will be easier to work with.
1 7/10 = 17/10
Now we can divide:
The rule for dividing fractions is that you bring up the lower fraction and flip it to multiply, so that looks like this:
×
To simplify before we multiply, we can reduce between the 5 and the 10 and have smaller numbers to deal with:
×
The product there is
So the answer you want from your choices is
"Yes, because the quotient of Fraction 1 and 7 over 10 [division sign]Fraction 3 over 5 is 2 and 5 over 6", third choice
Keitaro walks at a pace of 3 miles per hour and runs at a pace of 6 miles per hour. Each month, he wants to complete at least 36 miles but not more than 90 miles. The system of inequalities represents the number of hours he can walk, w, and the number of hours he can run, r, to reach his goal
Final answer:
The mathematical system of inequalities for Keitaro's walking and running routine must satisfy his target of covering at least 36 miles and not more than 90 miles in a month, given his pace.
Explanation:
Keitaro's exercise routine is defined by a system of inequalities that reflect the minimum and maximum distances he wants to cover each month by walking and running. Given his walking pace of 3 miles per hour and his running pace of 6 miles per hour, we can set up two inequalities to represent walking hours w and running hours r. The first inequality would ensure that when multiplied by their respective paces, the total distance is at least 36 miles. The second inequality ensures that the sum of distances does not exceed 90 miles:
3w + 6r ≥ 36 (for the minimum distance)
3w + 6r ≤ 90 (for the maximum distance)
Keitaro needs to allocate his walking and running hours such that these inequalities are satisfied to meet his monthly exercise goals.
write an equation in slope intercept form. (2,8) (3,18):(0-3). slope= y intercept=
Answer:
y = 10x - 3
Step-by-step explanation:
We have the point (0, -3), which is the y-intercept. In slope-intercept form,
y = mx + b,
that is the b.
Now we find the slope between the other 2 points:
[tex]\frac{18-8}{3-2}=10[/tex]
So m = 10. Therefore, the equation is
y = 10x - 3
The residents of a city voted on weather to raise property taxes . THe ratio of yes votes was 3 to 5. If there were 4845 no votes, what was the total number of votes ?
The total number of votes would be: 7752 total votes.
Here's how you solve it!
For every 3 yes there was 5 no's.
You would but that into a fraction so it would be 3/5
Then you take the number of no votes and multiply.
3/5 x 4845
Then you would get 2907.
4845+ 2907= 7752
4845= no votes
2907= yes votes
7752= total votes
Hope this helps! :3
Which of the binomials below is a factor of this expression?
64A2 - 81B2
Answer:
B
Step-by-step explanation:
This is the difference of perfect squares, which follows a pattern of
(A+B)(A-B)
We have 64, which is 8-squared,
we have A squared, which is A squared ( :/ )
we have 81, which is 9-squared, and
we have B-squared, which is B squared.
We can factor this then following the pattern into:
(8A+9B)(8A-9B)
Choice B only matches one of our binomials.
Answer:
B. 8A + 9B.
Step-by-step explanation:
The general form is
a^2 - b^2 = (a - b)(a + b) so here we have:
a = square root of 64A^2 = 8A and b = square root of 81B^2 = 9B and therefore:
64A^2 - 81B^2
= (8A - 9B)(8A + 9B).
If the volume of a sphere is 36 cubic units, what is the radius? 3 units 4√3 units 9 units
Answer:
radius = 2.05 units
Step-by-step explanation:
The volume of a sphere is given by the formula: [tex]V=\frac{4}{3} \pi r^3[/tex]. In this formula:
V = volume of the spherer = radius of the sphereSince we are given the volume of the sphere (36 units^3), we just need to solve for r in the equation for the volume of a sphere.
Substitute 36 for V into the formula and solve for r.
[tex]36=\frac{4}{3} \pi r^3[/tex]
Divide both sides by [tex]\frac{4}{3}[/tex]. To do this, multiply 36 by the reciprocal of [tex]\frac{4}{3}[/tex].
[tex]36\times \frac{3}{4}[/tex][tex]36\times \frac{3}{4} =\frac{108}{4} \rightarrow 27[/tex]Simplify and rewrite the equation.
[tex]27=\pi r^3[/tex]
Now divide both sides of the equation by pi ([tex]\pi[/tex]).
[tex]27\div\pi=8.59436692696[/tex]Rewrite the equation.
[tex]8.59436692696=r^3[/tex]
To isolate and solve for r, cube root both sides of the equation.
[tex]r=\sqrt[3]{8.59436692696}[/tex][tex]r=2.04835218977[/tex]The radius of this sphere is 2.04835218977 units. If your question wants this rounded to the nearest:
whole number: 2 unitstenth: 2.0 unitshundredth: 2.05 unitsthousandth: 2.048 unitsI'll just give the answer rounded to the nearest hundredth as that seems the most popular.
Answer:
Before they deleted my answer, I was correct. remember to correctly round if you have a different but similar question.
Step-by-step explanation:
Use complete sentences to explain why there is no real number that is equal to .√-1
Answer:
This is because √-1 is i, which is an extension of real numbers called complex numbers.
Step-by-step explanation:
A real number is one that can be expressed in decimal form.Real numbers are those that appear on the number line.In mathematics, √-1 is i which is an extension of real numbers to represent complex numbers.
Answer:
there is no number than can be multiplied by itself it give a negative answer.
Step-by-step explanation:
Eg. 1 X 1 = 1
-1 X -1 = 1
NED HELP FAST!!!!!!!!!!!
John the trainer has two solo workout plans that he offers his clients: Plan A and Plan B. Each client does either one or the other (not both). On Friday there were 3 clients who did Plan A and 5 who did Plan B. On Saturday there were 9 clients who did Plan A and 7 who did Plan B. John trained his Friday clients for a total of 6 hours and his Saturday clients for a total of 12hours. How long does each of the workout plans last?
Answer:
They are both the same at 3/4 of an hour
Step-by-step explanation:
We have a system of equations here. The first one is for Friday:
3A + 5B = 6, which says that 3 people at the number of hours for plan A plus 5 people at the number of hours for plan B equals 6 hours total.
The second equation is for Saturday:
9A + 7B = 12, which says that 9 people at the number of hours for plan A plus 7 people at th number of hours for plan B equals 12 hours total.
We can solve this easily using the addition/elimination method. Begin by multipying the first equation through by a -3 to eliminate the A's. That gives you a new first equation of:
-9A - 15B = -18
9A + 7B = 12
You can see that the A's are eliminated, and adding what remains leaves us with
-8B = -6 so
B = 3/4 hour
Now we can sub that back in for B in either one of our original equations to solve for A. I changed the 3/4 to .75 for ease of multiplying:
9A + 7(.75) = 12 and
9A + 5.25 = 12 and
9A = 6.75 so
A = .75 which is also 3/4 of an hour
In a board game, you roll a die to win or lose points, depending on the outcome. The outcomes follow this probability distribution.
If a player can only win by accumulating 20 points, which of the following best describes the fairness of the game?
A, it's not fair because the chance to lose points far outweighs the chance to gain points
Answer with explanation:
→Total faces on the dice and marked numbers =6={1,2,3,4,5,6}
If you are rolling the dice and getting number 1 and 5 , you win 4 and 6 points respectively.
And, If you roll the dice and getting number 2,3,4 and 6 , you loose -5 points .
→→So,suppose the dice is rolled 6 times, and considering each outcome to be equally likely
then you loose more points than gaining which is equal to
= 4+(-5)+(-5)+(-5)+6+(-5)
=10-20
= -10
And, Average
[tex]=\frac{-10}{5}\\\\= -2[/tex]
So, if number of outcomes are equally likely, you can't accumulate 20 points.
Option B:→ It is not a fair game because weighted average is Negative.
HELP ME WITH THIS MATH QUESTION
Answer:
m<DEB = 62°
Step-by-step explanation:
From the figure we can see a circle with center O.
To find the measure of <DOB
From the figure we get,
m<DOC = 44° and m<COB = 80°
We know that, m<DEB = m<DOB/2
m<DOB = m<DOC +m<COB
= 44 + 80
= 124
To find the measure of <DEB
m<DOB = 124
Therefore m<DEB = m<DOB/2
= 124/2 = 62°
Answer: 236 degrees
Step-by-step explanation: Add the two angles that are given. 44+80=124. The angle DOB is 124 degrees. The angle DEB is the rest of the circle. There are 360 degrees in a circle. So subtext 360 from 124.
360 - 124 = 236
DEB = 236 degrees.