Volume of a cone is given by;
[tex]V=\frac{1}{3}\pi^{}r^3h[/tex]From the queston,
h = 414
diameter = 416, this implies r = d/2 = 416/2 = 208
π = 3.14
substitute the values into the formula
[tex]V=\frac{1}{3}\times3.14\text{ }\times208^2\times414[/tex][tex]=18747156.48[/tex][tex]\approx18700000m^3[/tex]i need help with my homework PLEASE CHECK WORK WHEN DONE NUMBER 7
Given:
[tex]\begin{gathered} mean(\mu)=28mpg \\ Standard\text{ }deviation(\sigma)=2mpg \end{gathered}[/tex]To Determine: The percentage with greater than 24mpg
Solution
[tex]Z=\frac{x-\mu}{\sigma}[/tex][tex]\begin{gathered} P(x>Z)=P(x>\frac{24-28}{2}) \\ P(x>Z)=P(x>-2) \end{gathered}[/tex]What is the domain of f(x)?
(-6 , 6)
[-4 , 5]
[-6 , 6]
(-4 , 5)
Answer:
{−6,−4}
Step-by-step explanation:
the domain is all the x- values of the points.
so -6 and -4 are repeated so they are the domain of the points.
Rectangle TUVW with vertices
T(-3,-1), U(0, -2), V(-2, -8), and
W(-5, -7): 90° counterclockwise
T':
U':
V':
W':
for given rectangle TUVW with vertices T(-3,-1), U(0, -2), V(-2, -8), and W(-5, -7): 90° counterclockwise rotation would be,
T': (1, -3)
U': (2, 0)
V': (8, -2)
W': (7, -5)
In this question, we have been given a rectangle TUVW with vertices
T(-3,-1), U(0, -2), V(-2, -8) and W(-5, -7)
We know that for 90° counterclockwise rotation is (x, y) becomes (-y, x)
so, the coordinates of T' would be,
T' = (1, -3)
the coordinates of U' would be,
U' = (2, 0)
the coordinates of V' would be,
V' = (8, -2)
the coordinates of W' would be,
W' = (7, -5)
Therefore, for given rectangle TUVW with vertices T(-3,-1), U(0, -2), V(-2, -8), and W(-5, -7): 90° counterclockwise rotation would be,
T': (1, -3)
U': (2, 0)
V': (8, -2)
W': (7, -5)
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A hockey player takes a shot 20 feet away from a 5-foot goal. If the puck travels at a 15° angle of elevation toward the center of the goal, will the player score?
EXPLANATION
Let's see the facts:
shoot = 20 feet
goal = 5 foot
Let's draw the statement:
Since we are finding the side opposite the given angle and know the side adjacent, we can use the Pythagoras Theorem to find the needed value.
[tex]\text{Tan=}\frac{Opposite}{\text{Adjacent}}[/tex]Replacing terms:
[tex]\text{Tan 15}=\frac{x}{20}[/tex]Isolating x:
[tex]20\cdot\text{Tan 15= x}[/tex]Switching sides and simplifying:
[tex]x=5.35\approx5.4[/tex]The player will not score because 5.4 is greater than 5
Please explain how to get the answer.
The area of the given diagram is 270sq.metre
What is Area of Rectangle?The area of Rectangle is length times of width.
In the given figure there we can see three rectangles.
Let us divide each length to three parts.
The length 27m is divided into 3 we get
27/3=9m.
Hence each rectangle has 9m of length.
The width 30m is divided into 3 parts we get,
30/3=10m.
Hence area of each rectangle is 9×10=90 sq. m
Total area of diagram will be
3 times of 90.
270 sq.m.
Hence the area of the given diagram is 270sq.metre
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1) Which situation could the integer -50 represent?
A) An increase of $50 in a bank account
B) The temperature on a warm fall day
C) The distance driven on the way to the beach
D) A decrease of 50 employees
2, What method of data collection would you use to collect data for a study where adrug was given to 10 patients and a placebo to another group of 10 patients todetermine if the drug has an effecton a patient's illness?A) take a censusb) use sampling c) use a simulation d) perform an experiment e) none
I would say that using a survey gives you the perfect way to collect the data you need for the drug effect. So,
Create an equivalent expression for 17^-7 • 17^5.
1/17²
1/17-²
17²
-17²
Please please pleaseee! I’m so dead if I don’t get this!
The equivalent expression for the indices is 17⁻⁷ × 17⁵ is 1/17²
How to create an equivalent expression for 17⁻⁷ × 17⁵?Index is the power or exponent which is raised to a number or a variable e.g in number 3⁵, 5 is the index of 3. The 3 is called the base. The plural form of index is indices.
We have different Laws of Indices, but the one applicable to this question is the product law and reciprocal law.
Product law: To multiply two variables or numbers with the same base, we need to add their powers and raise them to that base": 5² x 5³ = 5²⁺³ = 5 and P⁴ + P⁶ = P¹⁰
Reciprocal Law: If the index is a negative value, then it can be shown as the reciprocal of the positive index raised to the same variable:
8⁻² = 1/8² and b⁻⁶ = 1/b⁶
Let's use the two laws to create an equivalent expression for 17⁻⁷ × 17⁵:
17⁻⁷ × 17⁵ = 17⁻⁷ ⁺ ⁵ = 17⁻² = 1/17²
Therefore, the equivalent expression for 17⁻⁷ × 17⁵ is 1/17². The 1st option is the answer.
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what is the slope of a line perpendicular to the line whose equation is 15x + 12y = -108
First, rewrite the equation in its slope intercept form:
(slope intercept form: y = mx + b where m = slope ; b = y-axis intercept)
15x + 12y = -108
Subtract 15x from both sides:
15x + 12y - 15x = -108 - 15x
12y = -108 - 15x
Divide both sides by 12:
12y/12 = (-108 - 15x)/12
y = -5x/4 - 9
As you can see the slope of this line is -5/4
Now, two lines are perpendicular if:
m1*m2 = -1
Where:
m1 = Slope of the line 1
m2 = Slope of the line 2
m1 in this case would be -5/4
so:
-5/4* m2 = -1
Solving for m2:
m2 = -1/(-5/4) = 4/5 = 0.8
Which of the following could be the first step when solving the equation 4-3(x+6)=28
Answer:
I don't know the options, but the first step would definitley be distributing the -3 over the parantheses --> -3x - 18
What angle does a 3.8 m ladder make with the ground if it reaches 2.1 m up the wall? How far is the foot of the ladder from the wall? (Give your answers to the nearest degree and the 1 decimal place of the metre.)
Answer:
here is the answer hop it helps mark me the brainliest
PLSSSSSSSSS HELP DUE SOON!!!
The problem can be modeled with the linear equation:
2c - 1.5 = 6
Where c is the old amount of chips.
So the correct option is the last one.
Which is the correct expression?First, let's define the old amount as the variable "c".
1.5 less than twice the old amount is then written as:
2c - 1.5
And the total text says:
"1.5 less than twice the old amount is equal to 6"
So we have an equation, that equates the above expression and the number y, so we can write the linear equation:
2c - 1.5 = 6
This is the last option
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the altitude of an airplane is decreasing at a rate of 45 feet per second what si the change in altitude of the airplane over a period of 34 seconds
a -1,530
b 79
c -79
d 1530
Answer:
Step-by-step explanation:
d that the answer pls mark me brianlest
Help da brother out.
Answer:
top: y=f(x)=-2x+5
middle: y=4x
last: y=(9/2)x-3
URGENT 50 points
WRITE AS AN ORDER OF OPERATIONS EXPRESSION, THEN SIMPLIFY IT.
Chloe owed the bank $3500 after taking out a small loan. She currently works and
makes $24 per hour. She works for 6 hours a day. After 25 days, will Chloe still owe the
bank money?
Answer:
She will no longer owe the bank any money. She will have 100 dollars in profit.
Step-by-step explanation:
$24 x 6 hours a day means she makes 144 dollars a day.
144 dollars times 25 means she makes 3600 dollars over the 25 day period.
3600-3500(the amount she owed) is 100 dollars
Graph the following. y=3-4x
Here Ya Go! :D
Hope this helps! If so, please lmk. Thanks and good luck!
Suppose demand, d, for a company’s product at cost, x, is predicted by the function ()=−.+,d of open x close equals negative , 0.25 , , x squared , plus , 1,000, and the price, p, that the company can charge for the product is given by ()=+. Find the company’s revenue function.
Enter your answer.
This company’s revenue function is given by −0.25x³ - 4x² + 1000x + 16,000.
How to determine company's revenue function?Mathematically, the amount of revenue that's being generated by a company or business organization can be calculated by using the following function (expression):
Revenue = price × demand
R(x) = p(x) × d(x)
The demand (d) for this company’s product at cost (x) is given by this demand function:
d(x) = −0.25x² + 1,000
Also, the price (p) in dollars that this company can charge for its product is given by this price function:
p(x) = x + 16
Substituting the parameters into the revenue function, we have;
Revenue function, R(x) = p(x) × d(x)
Revenue function, R(x) = (−0.25x² + 1,000) × (x + 16)
Revenue function, R(x) = −0.25x³ - 4x² + 1000x + 16,000.
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Complete Question:
Suppose demand, d, for a company's product at cost, x, is predicted by the function, d(x) = −0.25x² + 1,000, and the price, p, that the company can charge for the product is given by p(x) = x + 16. Find the company's revenue function.
Find the value of each variable
Find the value of x in each case. Please put statement reasons.
Answer:
x = 10°
Step-by-step explanation:
Given the figure with angles 2x, 4x, 5x, and 50° marked, you want to find the value of x.
Development∠HAC = ∠HCA . . . . base angles of isosceles triangle HAC
2(∠HAC) = 4x . . . . . exterior angle 4x is equal to the sum of the equal remote interior angles HAC and HCA
∠HAC = 2x . . . . . . . divide by 2
∠AED = 180° -2x -2x = 180° -4x . . . . sum of angles in ∆AED is 180°
∠AHC = 180° -4x . . . . angles at H are a linear pair
HC ║ ED . . . . converse of corresponding angles theorem
∠FEG = ∠FCH = 50° . . . . . corresponding angles theorem
5x = 50° . . . . . substitute value of ∠FEG
x = 10° . . . . . divide by 5
Using this value for the marked angles, we get the measures shown in the attachment.
If you love codes answer this question!
Answer:
Is it B
Step-by-step explanation:
a recipe calls for 40 ounces of rice. how many grams of rice dose the recipe require
Answer:
1133.98
almost 1134 grams :)
Step-by-step explanation:
multiply by 28.35 to get the answer :)
Answer:
1133.98
Step-by-step explanation:
Hope it helps and have a nice day!!!!! :)
BRAINIEST IS APPRECIATED!!!
a. cos x b. tan x c. sec x d. cot x Simplify the expression
First, multiply by 1:
cos x * 1 + cos x tan^2 x
Factor cos x out of cos x tan^2 x
cos x * 1 + cos x (tan ^2 x)
Factor again
cos x (1+ tan^2 x)
Rearrange:
cos x (tan^2 x +1 )
Apply Pythagorean identity:
cos x * sec ^2 x
Rewrite Sec x in terms of sin and cos
cos x * (1 / cos x )^2
Apply product rule:
cos x * 1^2 / cos^2 x
cos x * (1/ cos^2 x )
Cancel common factor cos x
1 / cos x
1/cosx = sec x
Answer : sec x (option c)
2x^2+13x--24=0 solve for x
Answer:
0
Step-by-step explanation:
A technical machinist is asked to build a cubical steel tank that will hold 415 L of water.Calculate in meters the smallest possible inside length of the tank. Round your answer to the nearest 0.001 m.
we have
1 cubic meter = 1000 L
x cubic meter = 415 L
then:
[tex]\begin{gathered} 1000\times x=415\times1 \\ 1000x=415 \\ \frac{1000x}{1000}=\frac{415}{1000} \\ x=0.415 \end{gathered}[/tex]The volume of a cube with length x is:
[tex]\begin{gathered} x^3=0.415 \\ \sqrt[3]{x^3}=\sqrt[3]{0.415} \\ x=0.746 \end{gathered}[/tex]answer: The smallest possible inside length of the tank is 0.746 m
Question 19:
1 2 2 4 8 32 ?
Answer:
256
Step-by-step explanation:
1,2,2,4,8,32
1*2=2
2*2=4
4*2=8
8*4=32
632*8=256
2x+y = 2
Step 1 of 2: Determine the missing coordinate in the ordered pair (4, ?) so that it will satisfy the given equation.
Answer:
Substitute x = 4 into the equation to find y.
2(4) + y = 2
8 + y = 2
y = -6
To check if it satisfies the equation, substitute values of x and y into the equation.
2(4) + (-6) = 2
8 - 6 = 2
Since, it satisfies the equation, the missing coordinate is -6.
Find the circumcenter of the triangle ABC.
A(-5, -6), B(-8,6), C(-5,6).
The circumcenter is
(Type an ordered pair)
Answer: a b C D
Step-by-step explanation:
Which line is perpendicular to a line that has a slope
of 1?
Oline MN
Oline AB
Oline EF
Oline JK
JK is perpendicular to a line that has a slope
What is Slope?
The ratio of how much y grows as x grows by a certain amount is known as a line's slope. The slope of a line indicates how steep it is, or how much y rises as x rises. Anywhere along the line, the slope remains constant (the same).
Two lines, L1 and L2, with slopes m1 and m2 are perpendicular if
m1 x m2 = -1.
In our case m1 = 1
1 x m2 = -1
m2 = -2
so the slope of the perpendicular line is -2.
( -2 x (1) = -1).
As x increases, the line with a slope of -2 increases. Line JK is the only line displayed that fits this. Line AB cannot be the solution because it is "falling" as x grows.
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what’s the answer to this?
The correct option is B: They both are correct. The function g is the function f translated 4 units and it is also the function f translated 4 units to the left.
What is referred as the translation?In geometry, translation refers to a function that shifts an object a specified distance. The component is not otherwise altered. It has not been rotated, mirrored, or resized.When performing a translation, this same initial object is referred to as the pre-image, as well as the object after translation is referred to as the image.for the given question.
The parent function is f(x) = x + 1.
The translated function is g(x).
As, it is shown in the graph that there is a shift of 4 units up as well as 4 units to the left of the original line.
It mean both Veronica and Drawn are correct.
Thus, The function g is the function f translated 4 units and it is also the function f translated 4 units to the left.
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Convert 72 weeks into hours.