Answer:
11.9 cm.
Step-by-step explanation:
A cube has a SURFACE AREA of 850 cm^2.
A cube has six congruent sides. That means that each side measures 850 / 6 = 141.666666667 cm^2.
Since a side measures 141.66667 cm^2, a side length will be the square root of that (the area of a square is a side length times the side length, and they are the same).
[tex]\sqrt{141.666666666667}[/tex]
= 11.90238071
So, the side length of the cube is 11.9 cm.
Hope this helps!
The value of y at x=-1in the equation 5y=2 is
Answer: y = 2/5 --> y = 0.4
Step-by-step explanation:
5y = 2 is a horizontal line at y = 2/5
so the y-value is 2/5 = 0.4 at EVERY x-value.
In the Olympic tennis event ( in which each tennis player gets eliminated from the tournament after the first defeat) there are 37 players participating. Can you count how many matches there need to be until there is one winner.?
Answer: 26 games in total.
Step-by-step explanation:
If in each game we have one winner and one loser, then after each game we have one less player.
first, out of 37 players, we can write it as 36 players + 1 player that does not play in the first round
the 36 players play games. Because in each game we need 2 players, we have a total of 36/2 = 18 games
in those 18 games, we eliminate 18 players, so now we have 37 - 18 = 19 players.
Now, we can write 19 = 18 players + 1 player that does not play this round.
From the 18 players, we have 18/2 = 9 games.
And from those 9 games, we lose 9 players, so now we have:
19 - 9 = 10 players.
Now from those 10 players, we have 10/2 = 5 games, so after those 5 games we have 10 - 5 = 5 players.
Now we can write 5 = 4 players + 1 player that does not play this round.
from the 4 players we have 4/2 = 2 games, after those 2 games we end with 5 - 2 = 3 players.
And from those last 3 players, we have two games, where in each game one player is eliminated until we have only one winner.
Then the total number of games is:
18 + 9 + 5 + 2 + 2 = 26 games
Find the value of x for which the function below is maximum
Answer:
x = [tex]\frac{1}{2}[/tex]
Step-by-step explanation:
Given function;
y = 5 + x - x²
To find the maximum value, follow these steps
(i) Find the first derivative (which is the slope) of the given function with respect to x. i.e;
[tex]y^{'}[/tex] = [tex]\frac{dy}{dx}[/tex] = [tex]\frac{d(5 + x - x^2)}{dx}[/tex]
[tex]y^{'}[/tex] = [tex]1 - 2x[/tex]
(ii) From the result in (i) determine the value of x for which the slope is zero. i.e.
x for which
1 - 2x = 0
=> 1 = 2x
=> x = [tex]\frac{1}{2}[/tex]
Therefore, the value of x for which the function is maximum is [tex]\frac{1}{2}[/tex]
Answer:
x = 1/2
Step-by-step explanation:
The standard equation of a quadratic function is given by:
y = ax² + bx + c, If a > 0 then the graph has a minimum but if a < 0, then the graph has a maximum. To find the maximum or minimum, we differentiate the function with respect to x and equate to zero that is y'(x) = 0.
For the function y = 5 + x - x², a = -1 < 0, therefore it has a maximum.
Differentiating with respect to x:
y'(x) = 1 - 2x
Equating to zero
-2x + 1 = 0
-2x = -1
x = -1/ -2
x = 1/2
The function has a maximum at x = 1/2
What number :Increased by 130% is 69 i rlly need help!!!
Answer:
53.076923
Step-by-step explanation:
130% as a decimal is 1.3
Divide 69 by 1.3:
69 /1.3 = 53.076923
Answer:
30
Step-by-step explanation:
The unknown number is x.
Start with x.
To increase x by 130%, you need to add 130%of x to x.
x + 130% of x
The sum equals 69.
x + 130% of x = 69
x + 130% * x = 69
1x + 1.3x = 69
2.3x = 69
x = 30
Answer: The number is 30.
You order fourteen burritos to go from a Mexican restaurant, six with hot peppers and eight without. However, the restaurant forgot to label them. If you pick three burritos at random, find the probability of the given event. (Round your answer to three decimal places.) At most two have hot peppers.
Answer:
0.578
Step-by-step explanation:
If you pick three burritos at random, find the probability of the given event. (Round your answer to three decimal places.)
Given that there are 14 orders at the ratio by of:
6 with hot peppers
8 without hot peppers
At most two have hot peppers.
Binomial Problem with n = 3 ; p(hot) = 6/8
P(0<= x <=2) = 1 - P(x = 3)
= 1 - (6/8)^3
= 1 - ( 3/4 )^3
= 1 - ( 27/64 )^3
= 1- (37/64)
= 1 - 0.421875
= 0.578125
= 0.578
Find the radius of the circle below. Round your answer to the nearest tenth.
Answer:
5.8 cm
Step-by-step explanation:
Area of the shaded sector of the circle = 31.2 cm²
Angle (θ) of the minor sector = 360 - 256 = 104°
Are of sector of a circle is given as, θ/360*πr²
Therefore:
[tex] \frac{104}{360}*3.142*r^2 = 31.2 [/tex]
[tex] 0.29*3.142*r^2 = 31.2 [/tex]
[tex] 0.91*r^2 = 31.2 [/tex]
Divide both sides by 0.91
[tex] \frac{0.91*r^2}{0.91} = \frac{31.2}{0.91} [/tex]
[tex] r^2 = \frac{31.2}{0.91} [/tex]
[tex] r^2 = 34.286 [/tex]
[tex] r = \sqrt{34.286} [/tex]
[tex] r = 5.8 [/tex] (nearest tenth)
what is 11.52/128 show your work
Answer:
0.09
Step-by-step explanation:
11.52 / 128
First, divide both numerator and denominator by 2:
2.88 / 32
Divide both numerator and denominator by 4:
0.72 / 8
Divide 0.72 by 8, you get 0.09.
Find a10 given the geometric sequence 3, 12, 48, 192, ...
Answer:
Step-by-step explanation:
first term = a = 3
common ratio = 2nd term ÷ first term
= 12 ÷ 3
r = 4
[tex]a_{n} = ar^{n-1}\\\\a_{10}=3*4^{9}\\\\\\ = 3 * 262144\\\\= 786432[/tex]
I been stuck on this question for the longest please help
Answer: C. [tex]\sqrt{9} * \sqrt{4}[/tex]
Step-by-step explanation:
There is a square root rule that states [tex]\sqrt{x*y} = \sqrt{x} * \sqrt{y} \\[/tex]
We can apply this rule to this problem.
Given [tex]\sqrt{9*4}[/tex]
We can use the rule to make it equal to [tex]\sqrt{9} * \sqrt{4}[/tex]
This is answer choice C.
Answer: c
Step-by-step explanation: 9*4=36 36* 36 = 1296
9 * 9 = 81 4 * 4 = 16 81 * 16 = 1296 hope this helps
Given a normal population which has a mean of 110 and a standard deviation of 5, find the probability that a random sample of 49 has a mean between 109 and 112. Report your answer to four decimal places.
Answer:
0.9168
Step-by-step explanation:
From the data given:
Mean = 110
standard deviation = 5
Let consider a random sample n =49 which have a mean between 109 and 112.
The test statistics can be computed as:
[tex]Z_1 = \dfrac{x- \bar x}{\dfrac{\sigma}{\sqrt{n}}}[/tex]
[tex]Z_1 = \dfrac{109- 110}{\dfrac{5}{\sqrt{49}}}[/tex]
[tex]Z_1= \dfrac{-1}{\dfrac{5}{7}}[/tex]
[tex]Z_1[/tex] = -1.4
[tex]Z_2= \dfrac{x- \bar x}{\dfrac{\sigma}{\sqrt{n}}}[/tex]
[tex]Z_2 = \dfrac{112- 110}{\dfrac{5}{\sqrt{49}}}[/tex]
[tex]Z_2 = \dfrac{2}{\dfrac{5}{7}}[/tex]
[tex]Z_2 =2.8[/tex]
Thus; P(109 < [tex]\overline x[/tex] < 112) = P( - 1.4 < Z < 2.8)
= P(Z < 2.8) - P( Z < -1.4)
= 0.9974 - 0.0806
= 0.9168
Find the base in the following problem. Round the answer to a whole number. 12.5% of ____ is 130.
Answer:
1040
Step-by-step explanation:
Answer: The number is 1040.
Step-by-step explanation:
The question says 12.5% of a number is 130 so we can represent it by the equation.
12.5% * x = 130 where x is the number.Solve for x
12.5% * x = 130 convert 12.5% to a decimal
0.125 * x = 130
0.125x = 130 Divide both sides by 0.125
x= 1040
Check.
1040 * 12.5% = 130
(-13) X ... X (-13).
35 times
Use the ^ symbol to represent an exponent.
For example: 52 should be typed as 5^2
Negative Bases must be in parenthesis. For example (-3)^4
Answer:
(-13)^35
Step-by-step explanation:
As instructed,
(-13) * (-13) ...(-13) 35 times is represnted as
(-13)^35
( = -972786042517719014174576083150881262357 .... by the way)
Suppose the National Transportation Safety Board (NTSB) wants to examine the safety of compact cars, midsize cars, and full-size cars. It collects a sample of three for each of the treatments (cars types). Using the hypothetical data provided below, test whether the mean pressure applied to the driver’s head during a crash test is significantly different for each type of car. Use α = 5% to hand calculate and check your work in SPSS.
Compact Cars Midsize Cars Full-Size Cars
6 4 9
6 4 8
7 5 5
Answer:
The mean pressure applied to the driver’s head during a crash test is not significantly different for each type of car.
Step-by-step explanation:
A one-way ANOVA is used to test whether there is significant difference between the means for more than two groups.
In this case we need to test whether the mean pressure applied to the driver’s head during a crash test is significantly different for each type of car.
So, a one-way ANOVA would be used.
The hypothesis can be defined as follows:
H₀: There is no difference between the means, i.e. [tex]\mu_{1}=\mu_{2}=\mu_{3}[/tex]
Hₐ: There is a significant difference between the means, i.e. at least one of the mean is different.
Use MS-Excel to perform the ANOVA test.
Go to Data – Data Analysis – Anova: Single Factor
Enter the data and enter Alpha as 0.05.
Press OK.
The output is attached below.
The F-test statistic value is, F = 5.143.
The p-value of the test is, p-value = 0.072.
Decision Rule:
If the p-value of the test is less than the significance level then the null hypothesis will be rejected.
p-value = 0.072 > α = 0.05
The null hypothesis will not be rejected.
Conclusion:
The mean pressure applied to the driver’s head during a crash test is not significantly different for each type of car.
Find the area ratio of a regular octahedron and a tetrahedron regular, knowing that the diagonal of the octahedron is equal to height of the tetrahedron.
Answer:
[tex]\frac{4}{3}[/tex]
Step-by-step explanation:
The area of a regular octahedron is given by:
area = [tex]2\sqrt{3}\ *edge^2[/tex]. Let a is the length of the edge (diagonal).
area = [tex]2\sqrt{3}\ *a^2[/tex]
Given that the diagonal of the octahedron is equal to height (h) of the tetrahedron i.e.
a = h, where h is the height of the tetrahedron and a is the diagonal of the octahedron. Let the edge of the tetrrahedron be e. To find the edge of the tetrahedron, we use:
[tex]h=\sqrt{\frac{2}{3} } e\\but\ h=a\\a=\sqrt{\frac{2}{3} } e\\e=\sqrt{\frac{3}{2} }a[/tex]
The area of a tetrahedron is given by:
area = [tex]\sqrt{3}\ *edge^2[/tex] = [tex]\sqrt{3} *(\sqrt{\frac{3}{2} }a)^2=\frac{3}{2}\sqrt{3} *a^2[/tex]
The ratio of area of regular octahedron to area tetrahedron regular is given as:
Ratio = [tex]\frac{2\sqrt{3}\ *a^2}{\frac{3}{2} \sqrt{3}*a^2} =\frac{4}{3}[/tex]
8(3a+5)???? please help!!!!!! ASAP!!!!
I'm assuming your teacher wants you to distribute. If so, then you multiply the outer term 8 by each term inside (3a and 5). After that you add.
8 times 3a = 24a
8 times 5 = 40
So 8(3a+5) becomes 24a+40
We do not combine 24a and 40 as they are not like terms. So we leave 24a+40 as it is.
ASAP!! Please help me. I will not accept nonsense answers, but will mark as BRAINLIEST if you answer is correctly with solutions.
Answer:
(C) x² - 5x - 14
Step-by-step explanation:
The roots of any quadratic equation will always make the equation equal to 0. So, we can test each equation with the values -2 and 7 to test if both values make the equation 0.
Let's start with A. x² + 5x - 14.
(-2²) + (5 × -2) - 14
4 - 10 - 14 = -20, so we already know that A doesn't work as it doesn't equal 0.
Let's try B. (x+2)² + 7.
(-2+2)² + 7
0² + 7
0+7 = 7, so B doesn't work either.
Let's try C. x² - 5x - 14.
(-2²) - (5×-2) -14
4 + 10 - 14 = 0, ooh we're on to something here! However, for this equation to work, both -2 AND 7 have to work with it. Let's try 7.
(7²) - (5×7) - 14
49 - 35 - 14 = 0, so yes! Both -2 and 7 work for this equation. Therefore, the roots -2 and 7 work for the quadratic function of x² - 5x - 14, C.
Hope this helped!
What is the inclination of a line through the points(5,14) and (9,18)
Answer:
The inclination of the through the points (5, 14) and (9, 18) is 45°
Step-by-step explanation:
The given point has coordinates (5, 14) and (9, 18)
To find the inclination, θ, of the line passing the two points, with point 1 having coordinates (x₁, y₁) and point 2, having coordinates (x₂, y₂), we have to look for the slope as follows;
The slope, m = Change in the y-coordinate ÷ Change in the x-coordinate
[tex]m = \dfrac{y_2 - y_1}{x_2-x_1}[/tex]
Where:
y₁ = The y-coordinate of point 1 = 14
x₁ = The x-coordinate of point 1 = 5
y₂ = The y-coordinate of point 2 = 18
x₂ = The x-coordinate of point 2 = 9
Substituting, we have;
[tex]m = \dfrac{18 - 14}{9-5} = \dfrac{4}{4} = 1[/tex]
The inclination of the line is the angle the line makes with x-axis
Since the slope gives the ratio of the opposite and adjacent segment to the angle of inclination, the arc-tangent of the slope will give the angle in degrees as follows;
[tex]tan^{-1}m = tan^{-1} \left (\dfrac{y_2 - y_1}{x_2-x_1} \right) = \theta[/tex]
given that m = 1, we have;
tan⁻¹(m) = θ = tan⁻¹(1) = 45°.
Find the measure of angle A associated with the following ratios and round to the nearest degree. CosA=0.2785 m∠A=
Answer:
74°.
Step-by-step explanation:
From the question given above,
Cos A = 0.2785
To get the value of angle A, we simply find the inverse of Cos as shown below:
Cos A = 0.2785
Take the inverse of Cos.
A = Cos¯¹ 0.2785
A = 73.8° ≈ 74°
Therefore, the value of angle A is approximately 74°
Which of the following statements is true about the relation represented in the table? The data in the table is linear. The data in the table is nonlinear.
Answer:
Sacramento
Step-by-step explanation:
S 11+9+14+12+8=54
SF 11+8+8+9+12=48
The statement that is true about the information in the table is that the data is non-linear.
Which statement is true about the given table?
The easier way to study the table is by graphing it. Here we have the points:
(11, 11), (12, 9), (9, 8), (8, 8), and (14, 12).
The graph of these points can be seen below, there you can see that the data in the table is clearly non-linear, as we can't draw a line that contains the points on the table.
So the correct option is non-linear.
If you want to learn more about tables, you can read:
https://brainly.com/question/7301139
Complete the equation that describes c, the number of cats and g, the number of gold bars put into the machine.
c=?g
Answer:
C= 3g
Step-by-step explanation:
Please answer this question now
Answer:
r = 7.27Step-by-step explanation:
[tex]Opposite = r\\Hypotenuse = 13\\\alpha = 34\\Using SOHCAHTOA\\Sin \alpha = \frac{opp}{hyp} \\Sin 34 = \frac{r}{13} \\0.559 = \frac{r}{13} \\Cross \: Multiply\\r = 0.559\times 13\\r = 7.267\\r = 7.27[/tex]
Find the value of (525)² - (475² using sutible identite
Answer:
Step-by-step explanation:
a² - b² = (a +b)(a - b)
a = 525 & b = 475
525² - 475² = (525 + 475) (525 - 475)
=1000 * 50
= 50,000
The value of (525)² - (475)² using the identity (a²- b²) = (a+b) (a-b) is 50000.
The expression given is:
(525)² - (475)²
The above expression looks similar to the expression (a²- b²).
What is the simplified form of expression (a²- b²)?The simplified form of the expression (a²- b²) is (a+b) (a-b).
So, (525)² - (475)² can be written as:
(525)² - (475)² = (525+475) (525-475)
(525)² - (475)² = 1000 * 50
(525)² - (475)² = 50000
Therefore, the value of (525)² - (475)² using the identity (a²- b²) = (a+b) (a-b) is 50000.
To get more about algebraic identities visit:
https://brainly.com/question/1528309
Suppose that for each firm in the competitive market for potatoes, long-run average cost is minimized at $0.6 per pound when 150 pounds are grown. The demand for potatoes is Q = 40,000/p. If the long-run supply curve is horizontal, then what would be the total consumer spending?
Answer:
Total consumer spending is 160
Step-by-step explanation:
Here , we are interested in calculating the total consumer spending.
In a long run perfect competition market, price interest with MC and minimum point of AC
Hence , P = AC
this means that Q = 40,000/P = 40,000/150 = 266.67 which is approximately 267 potatoes will be consumed
The total consumer spending is thus 267 * 0.6 = 160
Find the limit (if it exists). (If an answer does not exist, enter DNE.) $ \displaystyle{\lim_{\Delta x \rightarrow 0}} \text{ } \dfrac{{\color{red}2} (x + \Delta x) - {\color{red}2} x}{\Delta x} $
Answer:
2x - 2
Step-by-step explanation:
Here is the completer question
lim as Δx → 0 [(x + Δx)²- 2(x + Δx) + 3 - (x² - 2x + 3)]/Δx
Solution
lim as Δx → 0 [(x + Δx)²- 2(x + Δx) + 3 - (x² - 2x + 3)]/Δx
Expanding the brackets, we have
lim as Δx → 0 [(x² + 2xΔx + (Δx)²- 2x - 2Δx + 3 - x² + 2x - 3)]/Δx
Collecting like terms. we have
lim as Δx → 0 [(x² - x² + 2xΔx - 2Δx + (Δx)²- 2x + 2x + 3 - 3)]/Δx
Simplifying, we have
lim as Δx → 0 [(0 + 2xΔx - 2Δx + (Δx)² + 0 + 0)]/Δx
lim as Δx → 0 [2xΔx - 2Δx + (Δx)²]/Δx
Dividing through by Δx, we have
lim as Δx → 0 [2x - 2 + (Δx)]
Inserting Δx = 0, we have
= lim as Δx → 0 (2x -2 + 0)
= 2x -2
So lim as Δx → 0 [(x + Δx)²- 2(x + Δx) + 3 - (x² - 2x + 3)]/Δx = 2x -2
WILL MARK BRAINLIEST!!!!PLZ HELP!!!! An expression is shown below: 3pf2 − 21p2f + 6pf − 42p2 Part A: Rewrite the expression by factoring out the greatest common factor. Part B: Factor the entire expression completely. Show the steps of your work.
Answer:
See Below.
Step-by-step explanation:
We have the expression:
[tex]3pf^2-21p^2f+6pf-42p^2[/tex]
Part A:
Find the GCF. Notice that we have a three in every term and a p in every term. Thus, the GCF will be 3p. Factor:
[tex]3p(f^2-7pf+2f-14p)[/tex]
This is the most we can do.
Part B:
Continuing from where we left off, we can factor the entire expression by grouping:
[tex]\displaystyle \begin{aligned} &= 3p(f^2-7pf+2f-14p) \\ \\ &= 3p(f(f-7p)+2(f-7p)) \\ \\ &=3p((f+2)(f-7p))\end{aligned}[/tex]
What is 1.13 (where the three is repeating) written as a fraction? Someone pleaseee help!
Answer:
13/90
Step-by-step explanation:
The decimal that you wrote is mixed non terminal decimal. Which means all the number don't repeat themselves.
The denominator of a non terminating decimal is always 9 even though it depends on the type of the decimal, whether it is simple or mixed
The denominator of the given decimal is 90. The denominator is 2 digit number since the given decimal is also 2 digit decimal even though it is under repeating bars.
And the numerator is 10, 13-3.
We subtract 3 since it is the one repeating itself.
Hope it helps ;) ❤❤❤
0.719 rounded to the nearest hundred
Answer:
0.72 is it rounded to the nearest hundredth. I think there was a typo. if you actually mean hundred like 100 then 0 is the answer.
0.72
Answer:
.720
Step-by-step explanation:
9 rounds up
PLEASE HELP ME! I will mark you as BRAINLIEST if you answer this correctly.
Answer:
0.92
Step-by-step explanation:
Each year, the value declines. This eliminates choices A and D.
The decline from 33000 to 30360 is slightly less than 10%, so the multiplier from one year to the next is slightly more than 1 -10% = 90%. The only choice in range is ...
0.92 . . . . the third listed choice
Is 313756 divisible by 10?
Answer:
no
Step-by-step explanation:
its not divisible by 10
you can also see that it ends with a 6
sorry if thats wrong
Answer:
no b/c the last digit does not end with a ten
ASAP!! Please help me. I will not accept nonsense answers, but will mark as BRAINLIEST if you answer is correctly with solutions.
Answer:
Domain > 0, Range C(x) > 2
Step-by-step explanation:
x is the distance, distance is always large than 0 => x > 0
=> Domain x > 0
Multiply both sides by 0.75
=> 0.75x > 0
Add both sides by 2
=> 0.75x + 2 > 0 + 2
=> 0.75x + 2 > 2
=> Range C(x) = 0.75x + 2 > 2