The volume of the given pyramid is approximately 780.975 cubic kilometers.
Given information:
The provided shape is a pyramid with a triangular base.
And the width of the base is 11.7 kilometers and the length of the base is 26.7 kilometers.
And the height of the pyramid is 15 kilometers.
To find the volume of a pyramid with a triangular base, we use the formula:
V = (1/3)Bh
where V is the volume, B is the area of the base, and h is the height of the pyramid.
In this case, we are given that the base of the pyramid is a triangle with a width of 11.7 kilometers and a length of 26.7 kilometers.
To find the area of this triangle, we use the formula for the area of a triangle:
B = (1/2)bh
where b is the width and h is the length of the base of the triangle.
Substituting the given values, we get:
B = (1/2)(11.7)(26.7)
B = 156.195 km²
Now, we substitute the values of B and h into the formula for the volume of a pyramid:
V = (1/3)(156.195)(15)
V = 780.975 km³.
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Find the slope of the line graphed below.
Answer:
\(m=\frac{3}{2}\)
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
Slope Formula: \(m=\frac{y_2-y_1}{x_2-x_1}\)Step-by-step explanation:
Step 1: Define
Find points from graph.
Point (-5, -4)
Point (-1, 2)
Step 2: Find slope m
Substitute [SF]: \(m=\frac{2+4}{-1+5}\)Add: \(m=\frac{6}{4}\)Simplify: \(m=\frac{3}{2}\)Given p(x) = -4(x-15)+2, what is the value of p(7) ?
Step-by-step explanation:
A restaurant owner wants to determine the effectiveness of his servers. the owner places a survey regarding the servers' effectiveness with randomly selected customer bills. what is the sample? a. the sample is the randomly selected customers. b. the sample is all customers of the restaurant. c. the sample is the servers. d. the sample is the owner of the restaurant.
The sample is the randomly selected customers (Option B).
What is sample?
Suppose we have to estimate the proportion of New York state residents who are Seattle Seahawks fans. Say, 500 New York state residents are randomly selected, whether they are Seattle Seahawks fans or not, and expand this to the entire population of New York State residents.In this case:The sample is 500 residents.The population is all New York State Residents.Now, according to the question, a survey is passed to the customers.
Here, the sample is the customers.
Hence, the sample is customers and the correct choice of options is (C).
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Answer:
randomly selected customers n
Step-by-step explanation:
plato 022
Consider the following generic C comparison function and its assembly language representation C code: byte compbyte a,byte b)/a in rdi,b in rsi Assembly code cmpb %rsi,%rdi set_inst %a1 ret Your jobs(fill-in blank):now sh given values of a and b g SET instruction and the A.5 points set CI SF OF %al setg 47 23 B.5 points set h SF OF %a setl 23 47 C.5 points ZA SF OF %al set sete 23 23 D.5 points CF ZF SF OF 00%1 set b setne 23 47
The correct answer is D. setne 23 47. Based on the provided information, I understand that you have a comparison function in C code and its corresponding assembly code. You are asked to fill in the blanks by selecting the appropriate instructions based on the given values of a and b and the status flags SF, OF, ZF, and CF. Let's go through the options:
A. setg 47 23: This option is incorrect because setg is used to set a byte to 1 if the Greater flag (ZF=0 and SF=OF) is set, but the given values of a and b are 47 and 23, respectively, so it does not satisfy the condition for setg to be set.
B. setl 23 47: This option is incorrect because setl is used to set a byte to 1 if the Less flag (SF≠OF) is set, but the given values of a and b are 23 and 47, respectively, so it does not satisfy the condition for setl to be set.
C. sete 23 23: This option is incorrect because sete is used to set a byte to 1 if the Zero flag (ZF=1) is set, but the given values of a and b are 23 and 23, respectively, so it does not satisfy the condition for sete to be set.
D. setne 23 47: This option is correct. setne is used to set a byte to 1 if the Zero flag (ZF=0) is not set, which means the values of a and b are not equal. In this case, the given values of a and b are 23 and 47, respectively, so they are not equal, and setne should be used.
Therefore, the correct answer is D. setne 23 47
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A light bulb manufacturer claims its light bulbs will last 500 hours on average. The lifetime of a light bulb is assumed to follow an exponential distribution. (15 points) a. What is the probability that the light bulb will have to be replaced within 500 hours? s. RSS THE b. What is the probability that the light bulb will last more than 1,000 hours? c. What is the probability that the light bulb will last between 200 and 800 hours?
a.There is a 63.21% chance that the light bulb will have to be replaced within 500 hours.
The probability that the light bulb will have to be replaced within 500 hours can be calculated by finding the area under the exponential probability density function (PDF) from 0 to 500. Using the formula for the exponential PDF with a mean of 500, we get:
P(X ≤ 500) = 1 - e^(-500/500) ≈ 0.6321
Therefore, there is a 63.21% chance that the light bulb will have to be replaced within 500 hours.
b. There is a 39.35% chance that the light bulb will last between 200 and 800 hours.
The probability that the light bulb will last more than 1,000 hours can be calculated by finding the area under the exponential PDF from 1000 to infinity. Using the same formula, we get:
P(X > 1000) = e^(-1000/500) ≈ 0.1353
Therefore, there is a 13.53% chance that the light bulb will last more than 1,000 hours.
c. The probability that the light bulb will last between 200 and 800 hours is0.3935.
It can be calculated by finding the area under the exponential PDF from 200 to 800. Again, using the same formula, we get:
P(200 < X < 800) = e^(-200/500) - e^(-800/500) ≈ 0.3935
Therefore, there is a 39.35% chance that the light bulb will last between 200 and 800 hours.
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i need help with this
Answer:
Step-by-step explanation:
(-2 , 1)
Its clear from the figure itself .
∆ABC was transformed according to the rule (x, y) → (−x, y) to create ∆A'B'C'. What transformation justifies the relationship between the triangles?
A 90° rotation around the origin characterised the transition.
What is the transformational rule?A logical principle that specifies the circumstances in which one assertion can be legitimately inferred from one or more other statements, particularly in codified languages.
What transformation does the rule x y → − x − y?(x, y)(x, y) is the formula for a reflection over the x-axis.
Triangle ABC was changed utilizing the (x, y) rule (–y, x). The triangles' vertices are displayed. A (–1, 1) B (1, 1) C (1, 4) (1, 4) A' (–1, –1) (–1, –1) B' (–1, 1) C' (–4, 1) (–4, 1) Which phrase best sums up the change? A 90° rotation around the origin characterised the transition. A 180° rotation of the origin occurred during the transformation. The transformation was a 270° rotation about the origin. The transformation was a 360° rotation about the origin.
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Answer: A reflection over the y-axis justifies ∆ABC ≅ ∆A'B'C'.
Step-by-step explanation: Took the test, no thanks neeeded :)
through (-2,3) and (0,2 )
The slope of the line that passes through the points (x1, y1) is computed as follows:
\(m=\frac{y_2-y_1}{x_2-x_1}\)Given that the line passes through (-2,3) and (0,2), then its slope is:
\(m=\frac{2-3}{0-(-2)}=-\frac{1}{2}\)The slope-intercept form of a line is:
y = mx + b
where m is the slope and b is the y-intercept
Replacing the point (0, 2) and m = -1/2 into the general equation, we get:
2 = -1/2(0) + b
2 = b
Then, the equation of the line is:
y = -1/2x + 2
If two angles are supplementary and one of the angles measures 38, what is the measure of the larger angle?
Answer:
142°
Step-by-step explanation:
Angles are supplementary when they total 180°. If one of them is 38°, then the measure of the other angle is ...
180° -38° = 142°
The larger angle is 142°.
y= 2/3x+7
x= -4
PLS HELP ASAP
Answer:
the slope will be
−
2
3
and the
y
-intercept will be
7
.
Step-by-step explanation:
a city council of 11 republicans and 8 democrats picks a committee of 4 at random. what's the probability thy choose all democrats?
The probability they choose all democrats is 0.01805
How to determine the probability they choose all democrats?From the question, we have the following parameters that can be used in our computation:
Republicans = 11
Democrats = 8
Number of selections = 4
If the selected people are all democrats, then we have
P = P(Democrats) * P(Democrats | Democrats) in 4 places
using the above as a guide, we have the following:
P = 8/19 * 7/18 * 6/17 * 5/16
Evaluate
P = 0.01805
Hence, the probability they choose all democrats is 0.01805
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A baseball team played 32 question games and lost eight can use the catcher in 5/8 of the winning games in 1/4 of the losing games what fraction of the games did the team win
Answer:
3/4
Step-by-step explanation:
From this question we have that this team played 32 games.
They lost 8 out of these 32 games
So their total wins = 32 - 8 = 24
Therefore the fraction of their win would be = win / total number of games played
= 24/32
When reduced further
24/32 = 3/4
Therefore the fraction of games which the team won = 3/4
Thank you!
Find the circumcenter of the triangle.
Answer:
C.(³/²,½)
Step-by-step explanation:
yann ang sagot
Pls solve with all steps
The results of the expressions involving logarithms are listed below:
Case 1: 1 / 2
Case 2:
Subcase a: 0
Subcase b: 11 / 2
Subcase c: - 11 / 2
How to simplify and evaluate expressions involving logarithmsIn this problem we have a case of an expression involving logarithms that must be simplified and three cases of expressions involving logarithms that must be evaluated. Each case can be solved by means of the following logarithm properties:
㏒ₐ (b · c) = ㏒ₐ b + ㏒ₐ c
㏒ₐ (b / c) = ㏒ₐ b - ㏒ₐ c
㏒ₐ cᵇ = b · ㏒ₐ c
Now we proceed to determine the result of each case:
Case 1
㏒ ∛8 / ㏒ 4
(1 / 3) · ㏒ 8 / ㏒ 2²
(1 / 3) · ㏒ 2³ / (2 · ㏒ 2)
㏒ 2 / (2 · ㏒ 2)
1 / 2
Case 2:
Subcase a
㏒ [b / (100 · a · c)]
㏒ b - ㏒ (100 · a · c)
㏒ b - ㏒ 100 - ㏒ a - ㏒ c
3 - 2 - 2 + 1
0
Subcase b
㏒√[(a³ · b) / c²]
(1 / 2) · ㏒ [(a³ · b) / c²]
(1 / 2) · ㏒ (a³ · b) - (1 / 2) · ㏒ c²
(1 / 2) · ㏒ a³ + (1 / 2) · ㏒ b - ㏒ c
(3 / 2) · ㏒ a + (1 / 2) · ㏒ b - ㏒ c
(3 / 2) · 2 + (1 / 2) · 3 + 1
3 + 3 / 2 + 1
11 / 2
Subcase c
㏒ [(2 · a · √b) / (5 · c)]⁻¹
- ㏒ [(2 · a · √b) / (5 · c)]
- ㏒ (2 · a · √b) + ㏒ (5 · c)
- ㏒ 2 - ㏒ a - ㏒ √b + ㏒ 5 + ㏒ c
- ㏒ (2 · 5) - ㏒ a - (1 / 2) · ㏒ b + ㏒ c
- ㏒ 10 - ㏒ a - (1 / 2) · ㏒ b + ㏒ c
- 1 - 2 - (1 / 2) · 3 - 1
- 4 - 3 / 2
- 11 / 2
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calculate the taylor polynomials and centered at of the function for the given value of .f(x) = sinx, a = 0 f(x) =, a = 0 f(x) =, a = 1 f(x) = tanx, a = 0
These are the general formulas for the Taylor polynomials of the given functions centered at the specified values of "a". To obtain specific values, you can substitute the desired values of "x" into the respective polynomial equations.
To find the Taylor polynomials centered at the given value of "a" for the respective functions, we can use the Taylor series expansion. Here are the Taylor polynomials for the given functions:
f(x) = sin(x), centered at a = 0:
The Taylor polynomial of degree n for f(x) = sin(x) centered at a = 0 is given by:
Pn(x) = x - (x^3 / 3!) + (x^5 / 5!) - (x^7 / 7!) + ... + (-1)^n * (x^(2n+1) / (2n+1)!)
f(x) = e^x, centered at a = 0:
The Taylor polynomial of degree n for f(x) = e^x centered at a = 0 is given by:
Pn(x) = 1 + x + (x^2 / 2!) + (x^3 / 3!) + ... + (x^n / n!)
f(x) = ln(x), centered at a = 1:
The Taylor polynomial of degree n for f(x) = ln(x) centered at a = 1 is given by:
Pn(x) = (x - 1) - ((x - 1)^2 / 2) + ((x - 1)^3 / 3) - ... + (-1)^(n-1) * ((x - 1)^n / n)
f(x) = tan(x), centered at a = 0:
The Taylor polynomial of degree n for f(x) = tan(x) centered at a = 0 is given by:
Pn(x) = x + (x^3 / 3) + (2x^5 / 15) + ... + (2^(n-1) * Bn * x^(2n-1) / (2n - 1)!)
where Bn are the Bernoulli numbers.
These are the general formulas for the Taylor polynomials of the given functions centered at the specified values of "a". To obtain specific values, you can substitute the desired values of "x" into the respective polynomial equations.
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(2/3+5/2-7/3)+(3/2+7/3-5/6)
Answer:
after simplifying, we get,
23/6
Step-by-step explanation:
(2/3+5/2-7/3)+(3/2+7/3-5/6)
We simplify,
\((2/3+5/2-7/3)+(3/2+7/3-5/6)\\(2/3-7/3+5/2)+(3/2+7/3-5/6)\\(5/2-5/3)+(9/6+14/6-5/6)\\(15/6-10/6)+((9+14-5)/6)\\(15-10)/6+(23-5)/6\\5/6+18/6\\(5+18)/6\\23/6\)
Which relation is a function of x?
O {(1, 2), (7, 6), (3, 2), (1, 0), (5, 6)}
y
2
-6
X
0
0
0
0
9
-7
Ox=3y²-7
X=
-5-4-3-2
5
4
3
2
-2
2 3 4 5 x
Answer:
x=3y2-7
x=3×1-7
x=3-7
x=-4
-10(-9+X)=10
Help don’t know how to do this
Answer:
x=8
Step-by-step explanation:
Distribution Property: multiply -9+x into -10
-10(-9+x)= 90-10x
90-10x=10
Put alike numbers together.
\(\frac{90}{-90}\)-10x= \(\frac{10}{-90}\)
-10x=-80
Divide to get x.
-10x=-80
\(\frac{-10x}{-10} = \frac{-80}{-10}\)
x= 8
how could you determine the number of feet per second a squirrel can run?
We are asked that how could we determine the number of feet per second a squirrel can run?
Recall that rate (also known as speed) is given by
\(r=\frac{d}{t}\)Where d is the distance in feet.
t is
I NEED HELP ON THIS ILL GIVE 10 POINTS!
Answer:
area is 60 cm sq units
Step-by-step explanation:
16+12+12+20=
16+24+20
40+20=60
Which number produces a rational number when multiplied by 0.5?
A. 222
B.
C 2.020020002...
D. Pi
I WILL MARK YOU BRAINLEST The graph below shows the number of calories burned while riding a bicycle.
Calories Burned Bike Riding
Calories Burned
Minutes of warcie
At what rate are calories burned by bike riding?
o A. 0.25 calories per minute
B. 0.8 calories per minute
OC. 4 calories per minute
OD. 10 calories per minute
Answer:
c 4 cal per minute
Step-by-step explanation:
because they burn 40 cal per 10 min and 40÷10 is 4 so 4 cal per 1 min
Hey! Can someone please help! I need to find the value of x.
Answer:
68° because it is parallel \ this sign
Find T(t) and then find a set of parametric equations for the tangent line to the helix given by r(t) = 2 cos(t) i + 2 sin(t)j + tk at the point (v2,v2,5).
A Parametric equations for the tangent line at the point (v2, v2, 5):x = v2 - (√2/2)t -- (3),y = v2 + (√2/2)t -- (4),z = 5 + t -- (5).These equations describe the tangent line to the helix at the point (v2, v2, 5).
To find the tangent line to the helix given by the vector equation r(t) = 2cos(t)i + 2sin(t)j + tk at the point (v2, v2, 5), d to find the value of t at that point.
The x-coordinate and y-coordinate of the helix at any given point t are given by 2cos(t) and 2sin(t) respectively the following equations:
2cos(t) = v2 -- (1)
2sin(t) = v2 -- (2)
Dividing equation (2) by equation (1),
(2sin(t))/(2cos(t)) = v2/v2
simplifying,
tan(t) = 1
From this conclude that t = π/4 or t = 5π/4. There are infinitely many values of t that satisfy tan(t) = 1, but consider the values within the given range of t.
T(t), which represents the tangent vector at any point on the helix. differentiate the vector equation r(t) = 2cos(t)i + 2sin(t)j + tk with respect to t: r'(t) = -2sin(t)i + 2cos(t)j + k
So, the tangent vector T(t) is given by:
T(t) = -2sin(t)i + 2cos(t)j + k
Now, the value of t (t = π/4 or t = 5π/4) to find the tangent vector at the point (v2, v2, 5).
For t = π/4:
T(π/4) = -2sin(π/4)i + 2cos(π/4)j + k
= -√2/2 i + √2/2 j + k
For t = 5π/4:
T(5π/4) = -2sin(5π/4)i + 2cos(5π/4)j + k
= √2/2 i - √2/2 j + k
So, the tangent vectors at the point (v2, v2, 5) are:
T(π/4) = -√2/2 i + √2/2 j + k
T(5π/4) = √2/2 i - √2/2 j + k
Tangent vectors to write the parametric equations for the tangent line.
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In each problem find the measure of the value that is being asked for round angles to the nearest degree and lengths to the nearest tenth that u are manipulating the ratio to find the variable please help! Image below
The measure of angle B is approximately 42°.
Use the given ratios to determine the measure of the variable in each problem.
Round angles to the nearest degree and lengths to the nearest tenth.
A = 50°, b = 12, c = 14
We can use the law of cosines to find angle B.
The law of cosines states that c² = a² + b² - 2abcos(C),
where C is the angle opposite side c.
We can rearrange this formula to find cos(C):
cos(C) = (a² + b² - c²) / 2ab
Now, we can substitute the given values and solve for cos(C):
cos(B) = (12² + 14² - 20²) / (2 × 12 × 14)
cos(B) = 0.7436
Now, we can use the inverse cosine function to find angle B:
B = cos⁻¹(0.7436)B = 41.6°
Therefore, the measure of angle B is approximately 42°.
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Following is a contingency table providing a cross-classification of worldwide reported shark attacks during the 1990s, by country and lethality of attack.
Country: Lethality: Fatal L1: NonFatal L2: Total
Australia: C1: 9: 56: 65
Brazil: C2: 12: 21: 33
South Africa: C3: 8: 57: 65
United States: C4: 5: 244: 249
Other: C5: 36: 92: 128
Total: 70: 470: 540
Suppose we select one of the 540 shark attacks recorded in the study,
a) find the probability that the shark attack happened in Brazil
b) find the probability that the shark attach happened in Brazil and was fatal.
c) given that the attack happened in Brazil, what is the probability that it was fatal? Obtain the probability directly from the table
d) given that the attack happened in Brazil, what is the probability that it was fatal? Find the probability using the conditional probability rule and your answers from parts (a) and (b).
e) find the probability that the shark attack happened in Brazil or was fatal.
a) The probability that the shark attack happened in Brazil is 33/540 or approximately 0.061. b) The probability that the shark attack happened in Brazil and was fatal is 12/540 or approximately 0.022.
a) The probability that the shark attack happened in Brazil is 33/540 or approximately 0.061.
b) The probability that the shark attack happened in Brazil and was fatal is 12/540 or approximately 0.022.
c) The probability that the shark attack was fatal given that it happened in Brazil is 12/33 or approximately 0.364.
d) Using the conditional probability rule, we have P(Fatal|Brazil) = P(Brazil and Fatal) / P(Brazil) = (12/540) / (33/540) = 12/33 or approximately 0.364, which is the same answer as in part (c).
e) To find the probability that the shark attack happened in Brazil or was fatal, we need to add the probabilities of these two events and subtract their intersection. This gives us (33/540) + (70/540) - (12/540) = 91/540 or approximately 0.169.
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Rationalise the denominator and simplify 6/√3
⇛2√3.
Step-by-step explanation:
Given,
6/√3
The denominator is √3.
We know that
The rationalising factor of √a is √a. To rationalise the denominator of 6√√3, we multiply this by √3/√3.
⇛(6/√3)×(√3/√3)
⇛(6√3)/(√3)²
⇛(6√3)/(√3*3)
⇛(6√3)/3
⇛2√3
Hence, the denominator is rationalised.
A white right triangle with a height of three inches and a base of six inches is inside a rectangle with a length of four inches and a width of eight inches. what is the area of the shaded area?
Area of shaded region in the rectangle with a length of four inches and a width of eight inches rectangle with a length of four inches and a width of eight inches 20 inches².
What is Area?Area is the amount of space a 2D shape occupies. This means a quantity which measures the number of unit squares that occupies the surface of a closed figure. The square unit is the standard unit of area, usually expressed in square inches, square feet, and many more.
The area of a rectangle is always calculated by multiplying its length with its width. Which is the same as counting unit squares. So the equation for the area of a rectangle is: A = L x W
Where, A = Area of rectangle
L = length
W = width
For the given case:
Area of rectangle
= 4 × 8
= 32 inches²
Area of triangle = ¹/₂(base × height)
= ¹/₂( 6 × 3 )
= ¹/₂ × 24
= 12 inches²
Area of shaded region = Area of rectangle - Area of triangle
= 32 - 12
= 20 inches²
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The complete question is as follows:
A white right triangle with a height of three inches and a base of six inches is inside a rectangle with a length of four inches and a width of eight inches. what is the area of the shaded area?
What Is (400x89)+55+77x22+98+0x2=?
Marta is solving the equation S=2πrh+2π2 for h which should be the result