Let length, width, and height be s.
Then diagonal of any face would be √( s² + s² ) = √( 2s² )
And we know that it measures √( 500 ) so that's sufficient for us to figure out the length of an edge of the cube. We do not need to worry about the diagonal of the cube.
Now we have to solve √( 500 ) = √( 2s² )
Square both sides:
500 = 2s²
Divide both sides by 2:
250 = s²
Take the square root of both sides:
√(250) = s ≈ 15.8113883
Rounding to nearest tenth:
s ≈ 15.8
Final answer: 15.8
Hope this helps.
Answer:
The person above me is correct
Step-by-step explanation:
f(x)=5x^2+5x-30
if anyone can help me that would be great
Answer:
x= 2,-3
Step-by-step explanation:
Is this what you want?
Which of the ratios below is equivalent to 1:8? Select all that apply.
A) 16:2
B) 3:24
C) 4:12
D) 5:40
E) 7:56
Answer:
B) 3:24
D) 5:40
E) 7:56
Step-by-step explanation:
3x8= 24
3:24= 1:8
5x8= 40
5:40= 1:8
7x8= 56
7:56= 1:8
A bag contains 5 blue marbles, 8 green marbles, 4 red marbles, and 3 yellow marbles.
Event A = drawing a green marble on the first draw
Event B = drawing a blue marble on the second draw
If Jasmine draws two marbles from the bag, one after the other and doesn’t replace them, what is P(B|A) expressed in simplest form?
A.2/19
B.1/6
C.4/19
D.5/19
Answer:
2/19
Step-by-step explanation:
Find the value of v (velocity) and V (volume) from the following equations.
a) v = u + at
Where u = 40, a = - 6, t = 4
( PLEASE HELP FAST)
Answer:
16m/s
Step-by-step explanation:
Given data
u = 40,
a = - 6,
t = 4
Let us substitute into the given expresssion to find v
v = u + at
v = 40+ -6*4
v= 40+ (-24)
v= 40-24
v= 16m/s
The answer to this would be highly appreciated
Answer:
SA = 254 cm²Steps:
SA = 2(L×W) + 2(H×L) + 2(H×W)
given:
L = 9 cm
W = 4 cm
H = 7 cm
SA = 2(9×4) + 2(7×9) + 2(7×4)
SA = 2×36 + 2×63 + 2×28
SA = 72 + 126 + 56
SA = 254 cm²
Test Booklet AP CollegeBoard AP Statistics Name Unit 7, part 2 Test (MC) 1. A statistics student wants to compare the mean times needed to access flight information for two major airlines. Twenty randomly selected students accessed one airline's Web site, and the time required to locate the flight information using the Web site had a mean of 2.5 minutes and a standard deviation of 0.8 minute. Twenty different randomly selected students accessed the other airline's Web site, and the time required to locate the flight information using the Web site had a mean of 2.1 minutes and a standard deviation of 1.1 minutes. Assuming that the conditions for inference are met, which of the following statements about the p- value obtained from the data and the conclusion of the significance test is true?
A. The p-value is less than 0.01; therefore, there is a significant difference in mean search times on the two Web sites
B. The p-value is greater than 0.01 but less than 0.05, therefore, there is a significant difference in mean search times on the two Web sites.
C. The p-value is greater than 0.05 but less than 0.10, therefore, there is a significant difference in mean search times on the two Web sites.
D. The p-value is greater than 0.10, therefore, there is no significant difference in mean search times on the two Web sites
E. Since this is a matched-pairs situation, additional information is needed to perform a test of significance
Answer:
The statement about the p-value obtained from the data and the conclusion of the significant test that is true is option D
D. The p-value is greater than 0.10, therefore, there is no significant difference in mean search times on the two Web sites
Step-by-step explanation:
From the question, the statistics student wants to compare the mean times needed to access flight information for two airlines
Let 'A' represent one of the airlines and let 'B' represent the other airline
In the statistics hypothesis test we have;
The mean time to access airline A's website, [tex]\overline x_1[/tex] = 2.5 minutes
The standard deviation to access airline A's website, s₁ = 0.8 minutes
The mean time to access airline B's website, [tex]\overline x_2[/tex] = 2.1 minutes
The standard deviation to access airline B's website, s₂ = 1.1 minutes
The t-test is given as follows;
The null hypothesis is H₀; μ₂ - μ₁ = 0
The alternative hypothesis is H₀; μ₂ - μ₁ ≠ 0
[tex]t=\dfrac{(\bar{x}_{1}-\bar{x}_{2})}{\sqrt{\dfrac{s_{1}^{2} }{n_{1}}+\dfrac{s _{2}^{2}}{n_{2}}}}[/tex]
The critical-t at n₁ + n₂ - 2 = 20 + 20 - 2 = 38 degrees of freedom is therefore, from a graphing calculator, the critical-t = ±2.734 and the probability = 0.197;
[tex]t=\dfrac{(2.5-2.1)}{\sqrt{\dfrac{0.8^{2} }{20}+\dfrac{1.1^{2}}{20}}} \approx 1.32[/tex]
Therefore, given that the test statistic is smaller than the critical-t, and the p-value is greater than the significance level of 0.01 and is also larger than 0.10, therefore, there is no significant difference in mean search times on the two Web sites.
Please help due soon!!
Answer:
200.96 ft^2
Step-by-step explanation:
The area of a circle is pi * r^2
This means that the area of that circle is pi * 8^2
8^2 * pi = 64 * 3.14 = 200.96
Can someone pls help me to solve 15 and 16 and answer 17 I will mark you the brainly pls I will really appreciate
Answer:
15) x = 20
16) y = 45°, z = 30°
17) all 4 corners = 90°, all 4 sides are equal length, diagonals are perpendicular, diagonals bisect the corner angles.
We can't do the extra credit because we do not have a relationship about the side lengths. We just have angle information.
Step-by-step explanation:
15) 2x + 8 = 3x - 12
x = 20
16) 2y = 90°
y = 45°
3z = 90°
z = 30°
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What is the base width of a rectangular pyramid, if its length, height and volume are 7 cm, 4 cm, and 112 cm3 respectively?
a. 12 cm
b. 7 cm
c. 4 cm
d. 17 cm
Answer:
b. 7 cm Yan pu Alam KO Sana tama
Step-by-step explanation:
Tama ba
Describe all 6 parts, for example, side "a" is one of the legs of the right triangle and is opposite Angle A, which is an acute angle, and side a appears to be the shortest side.
Answer:
The description of the 6 parts of the right triangle ABC are as follows;
The legs of the right triangle are side "a" and side "b"
The hypotenuse side of the right triangle is side "c"
The acute angles are ∠A and ∠B
The 90° angle is ∠C
The description of the 6 parts are therefore given as follows;
1) A; ∠A is the acute angle opposite side "a" and ∠A is formed between the hypotenuse side "c" and the leg "b"
2) B; ∠B is the acute angle opposite side "b" and ∠B is formed between the hypotenuse side "c" and the leg "a"
3) C; ∠C is the 90° angle (right angle) opposite the hypotenuse side "c" and ∠C is formed between the the two legs "a" and "b"
4) a; Side "a" is one of the two legs of the right triangle ΔABC and it is the leg opposite to ∠A
5) b; Side "b" is one of the two legs of the right triangle ΔABC and it is the leg opposite to ∠B
6) c; Side "c" is the hypotenuse side of the right triangle ΔABC and it (the hypotenuse side) is (all the time) the longest side of the right triangle and it is the leg opposite to ∠A
Step-by-step explanation:
What number goes in the highlighted box?
A certain country has
578.16 million acres of forest. Every year, the country loses 7.92
million acres of forest mainly due to deforestation for farming purposes. If this situation continues at this pace, how many years later will the country have only 237.6 million acres of forest left? (Use an equation to solve this problem.)
Answer:
Plzzzz answer fast....
UMMM WHAT.... I NEED HELP ASAP
Answer:
try using photomath, it might help you with the graph
Answer:
the one on the bottom
Step-by-step explanation:
can somebody help me with this ty!!
Last year, Mr. Ledger used 18 donuts during the lessons. This year, he used 22 donuts. Place points on the graph to show how many donuts are left at the end of last year's lesson and this year's lesson.
Answer:
(22,2) and (18,6)
Step-by-step explanation:
Heyyyy so the equation is y=24-x
So let's do 24-x to get y
24-18=6
Same thing
24-22=2
I also did this on Khan so yeah its right :D
HELP ASAP ASAP PLEASE
Answer:
16
Step-by-step explanation:
20^2-12^2=256
400-144=256
sqrt 256 = 16
An insect population doubles every week. The function f(x)= 10(2)^x models the insect population after x weeks what will the population be after 4 weeks?
A.80
B.20,000
C.160
Given:
The insect population function is:
[tex]f(x)=10(2)^x[/tex]
Where x is the number of weeks.
To find:
The population after 4 weeks.
Solution:
The population of insect after x weeks is given by:
[tex]f(x)=10(2)^x[/tex]
We need to find the population after 4 weeks.
After substituting [tex]x=4[/tex], we get
[tex]f(4)=10(2)^4[/tex]
[tex]f(4)=10(16)[/tex]
[tex]f(4)=160[/tex]
The population after 4 weeks is 160. Therefore, the correct option is C.
What is the surface area of the prism?
40 POINTS!!!!
Answer: Surface Area: 180
Step-by-step explanation:
V = w·h·l
V = 3 · 4 · 15 = 180
Answer: 180
please select the best answer from the choices provided
Answer:
[tex]\sqrt{122}[/tex]
Step-by-step explanation:
Given that,
Vector n = 4i-j
Vector m = 3i+3j
We need to find the value of m+2n.
Put all the values,
m+2n = (3i+3j)+2(4i-j)
= (3i+3j)+8i-2j
=11i+j
Magnitude of vector,
[tex]|m+2n|=\sqrt{11^2+1^2} \\\\=\sqrt{121+1}\\\\=\sqrt{122}[/tex]
So the correct option is (c).
Plzz help me plzz no links i really need help. will mark braiiniest
Answer:
B
Step-by-step explanation:
I hope this helps you :)
Answer:
thx for the points
Step-by-step explanation:
10. Write the slope-intercept form of the equation of the
line parallel to the graph of 9x + 3y = 6 that passes
through (5,3).
Answer:
y = -3x + 18
Step-by-step explanation:
The slope intercept form of a line is expressed as y = mx+c
m is the slope
b is the intercept
Get the slope
Given the equation of a line 9x + 3y = 6
Rewrite
3y = -9x + 6
y = -9x/3 + 6/3
y = -3x + 2
Hence the slope of the line is -3
Get the y-intercept
Substitute m = -3 and (5,3) into y = mx+b
3 = -3(5) + b
3 = -15 + b
3 + 15 = b
18 = b
b = 18
Get the required equation
y = mx+b
y = -3x + 18
This gives the required equation
The volume of a sphere is 11,488.21 .To the nearest yard, what is the radius of the sphere? Use 3.14 for
Answer:
The formula for the volume of a sphere is V = 4/3 πr³. See the formula used in an example where we are given the diameter of the sphere
Find the area of this circle. Use
3.14 for a
92 ft
The area of the circle is about
ft.
What are the values of x in the equation (x - 3)2 = 7?
Answer:
Exact Form - 13/2
Decimal Form - 6.5
Mixed Number Form - 6 1/2
Hope this helps
What is the expanded form of 54,582? *
1 point
5 x 100,000 + 4 x 1,000 + 5 x 100 + 8 x 10 + 2 x 1
5 x 10, 000 + 4 x 1,000 + 5 x 1/10 + 8 + 1/100
5 x 1,000,000 + 4 x 10,000 + 5 x 100 + 8 x 10 + 2 x 1
5 x 10,000 + 4 x 1,000 + 5 x 100 + 8 x 10 + 2 x 1
Answer:
5 x 10,000 + 4 x 1,000 + 5 x 100 + 8 x 10 + 2 x 1
Step-by-step explanation:
all the other ones are incorrect
Write in logarithmic form.
1/8 = 2-^3
Mike forgot to have someone water his plants while he was on vacation. The
plant was originally 30 inches tall. When he came back, part of the plant was
dead, so he had to cut off the top. Now it is only 24 inches tall. By what
percent did the plant's height decrease?
Answer:
6 percent?
Step-by-step explanation:
.
What is the approximate area of the circle shown below?
O A. 49 cm2
O B. 191 cm2
O C. 96 cm2
O D. 24.5 cm
Answer:
B. 191 cm2
Step-by-step explanation:
have a nice day!!! :)
The area of the Circle is 191.03 cm².
Option B is correct.
What is Area of Circle?Geometric shape of a circle with a closed plane. A circle is a locus of a point that moves around a fixed point at a fixed distance away from the point.
The space occupied by a circle in a two-dimensional plane is defined as its area. Conversely, the area of a circle is the space occupied within the boundary/circumference of a circle.
The area of a circle is calculated as A = πr², where r is the radius of the circle.
Given:
r = radius = 7.8cm
π = 3.14
So, area of Circle
= πr²
Now, substitute the values we get
= 3.14 x 7.8 x 7.8
= 3.14 x 60.84
= 191.03 cm²
Thus, the Area of Circle is 191.03 cm².
Learn more about Area of Circle here:
https://brainly.com/question/28642423
#SPJ7
A parabola with a vertex at (0,0) has a directrix that crosses the negative part of the y-axis.
Which could be the equation of the parabola?
A. x² = –4y
B. x² = 4y
c.y² = 4x
D.y² = –4x
Answer:
A parabola can be represented by the equation x2 = -20y. ... (0,-2). The directrix of the parabola is represented by y = 2. ... A parabola, with its vertex at (0,0), has a focus on the negative part of the y-axis. ... The directrix will cross through the positive part of the y-axis. ... Which graph represents the equation y2 = -4x? A ...
Step-by-step explanation:
yeiii
PLEASE ANSWER QUICKLY.
I WILL GIVE THE BRAINLIEST ASAP.
Answer:
options (c) is right answer
Answer: B
Step-by-step explanation: