Answer: 3.03 Miles, 20,000 yards, and 16,000 feet
Step-by-step explanation:
Not sure if my last answer was correct because I am not sure what you are trying to ask.
Which of the following is the graph of a function of x?
Hurry pls, I need help
Answer:
A
Step-by-step explanation:
I'm not fully sure :(
The following hemisphere has a radius of 8cm.
Find the volume of the hemisphere correct to 1 decimal place.
Volume of a sphere= 4/3 π r3
Pls help! I'm Stuck
Answer:
1072.3 cm³ (1 dp)
Step-by-step explanation:
A hemisphere is half a sphere.
Therefore, calculate the volume of a sphere with radius 8 cm, then half it.
Volume of a sphere = 4/3 π 8³
= 4/3 × π × 512
= 2048/3 π cm³
Volume of hemisphere = (2048/3 π) ÷ 2
= 1024/3 π
= 1072.3 cm³ (1 dp)
A decorative plate has a circumference of 68.5 centimeters. Find the approximate diameter of the plate. Use 3.14 for pie. Round to the nearest hundredth if necessary. PLSSS HELP
The approximate diameter of the circular plate with circumference of 68.5 centimetre is 21.82 centimetres.
What is circumference of a circle?
The circumference of a circle is the perimeter of a circle. Therefore, the formula of a circle can be represented as follows:
circumference = 2πr
where
r = radiusTherefore,
circumference = 68.5 cm
68.5 = 2 × 3.14 × r
r = 68.5 / 6.28
r = 10.9076433121
radius = 10.907
Diameter = 2(radius)
Diameter = 2 × 10.9076433121
Diameter = 21.8152866242
Diameter = 21.82 cm
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The difference of a certain number and 4 is 36. What is the number
Answer:
40
Step-by-step explanation:
since you can just add 4 to 36 to get 40.
Answer:
40
Step-by-step explanation:
Let n represent the number then...
n-4=36
Add 4 to both sides
n-4+4=36+4
n=40
The number is 40
Sipho and Litha are brothers. The sum of their ages is 29. In 6 years' time Sipho will be the same age as Litha was 3 years ago. Determine the current age of the two brothers. Let x be the age of Sipho. 0 Copy and complete the table below: Current 3 Years Ago In 6 Years Sipho Litha Write down an appropriate equation in order to determine x. Solve for x and write down the age of Sipho and Litha
Answer: See below
Step-by-step explanation:
Let s represent Sipho's age and let l represent Litha's age
The sum of their ages is 29 years
s + l = 29...(1)
In 6 years time, Sipho (s+6), will be the same age Litha was 3 years ago (l-3)
(s+6) = (l-3)...(2)
Age:
s + l = 29
s = 29 - d (express c in d)
(29-s+6) = s - 3 (substitute c)
s+(29-s+6) = s+(d-3)
29+6 = 2s -3
29+6+3 = 2s
38 = 2s
19 = s
Back to (1):
l = 29 - 19
l = 10
Therefore, Sipho is currently 19 years old and Litha is 10 years old
The current age for the two brothers, Sipho and Litha is 10 years old and 19 years old respectively.
What is linear equation?A linear equation is the equation in which the highest power of the unknown variable is one.
To solve this problem, let's make the linear equations by the given statement.
Let x be the age of Sipho and y is the age of Litha. The sum of their ages is 29. Therefore,
[tex]x+y=29\\y=29-x[/tex]
Thus, the age of Litha is (29-x)
In 6 years' time, Sipho will be the same age as Litha was 3 years ago. Therefore,
[tex]x+6=(29-x)-3\\x+6=29-x-3\\x+x=29-3-6\\2x=20\\x=\dfrac{20}{2}\\x=10[/tex]
Thus, the age of Sipho is 10 years. The age of Litha is,
[tex]y=29-10\\y=19[/tex]
Hence, the current age for the two brothers, Sipho and Litha is 10 years old and 19 years old respectively.
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Find X cm giving 6cm and 5cm of a circle theorems
Answer:
[tex]\huge\sf\red{Solution :- }[/tex]Here Given,
KL = 6 cm , LM = LO + OM = 10 cm & KM = x cm
∆LKM is a right angled traingle it is because
∠ LKM = 90° [Angles of semicircle]
By Using Pythagoras theorem :-
KM² = LM² - KL²
KM² = 10² - 6²
KM² = 100 - 36
KM = √64
KM = 8 cm
★Hence, The Value of KM is 8 cm
__________________________________
The normal distribution can well approximate the binomial distribution as long as.
The normal approximation to the binomial is when you use a continuous distribution (the normal distribution) to approximate a discrete distribution (the binomial distribution).
Pls help! Answer quick
Answer:
Thursday
Step-by-step explanation:
Positive sign denotes that it has gained
Please show work, thank you
Answer:
[tex]\displaystyle \lim_{x \to 36} \frac{\sqrt{x} - 6}{x - 36} = \frac{1}{12}[/tex]
General Formulas and Concepts:
Calculus
Limits
Limit Rule [Variable Direct Substitution]: [tex]\displaystyle \lim_{x \to c} x = c[/tex]
Special Limit Rule [L’Hopital’s Rule]: [tex]\displaystyle \lim_{x \to c} \frac{f(x)}{g(x)} = \lim_{x \to c} \frac{f'(x)}{g'(x)}[/tex]
Indeterminate FormsDifferentiation
DerivativesDerivative NotationDerivative Property [Addition/Subtraction]: [tex]\displaystyle \frac{d}{dx}[f(x) + g(x)] = \frac{d}{dx}[f(x)] + \frac{d}{dx}[g(x)][/tex]
Derivative Rule [Basic Power Rule]:
f(x) = cxⁿf’(x) = c·nxⁿ⁻¹Step-by-step explanation:
Step 1: Define
Identify.
[tex]\displaystyle \lim_{x \to 36} \frac{\sqrt{x} - 6}{x - 36}[/tex]
Step 2: Find Limit Pt. 1
Limit Rule [Variable Direct Substitution]: [tex]\displaystyle \lim_{x \to 36} \frac{\sqrt{x} - 6}{x - 36} = \frac{\sqrt{36} - 6}{36 - 36}[/tex]Simplify: [tex]\displaystyle \lim_{x \to 36} \frac{\sqrt{x} - 6}{x - 36} = \frac{0}{0}[/tex]We see that we get 0 divided by 0, an indeterminate form.
Step 3: Find Limit Pt. 2
Use L'Hopital's Rule.
[Limit] Differentiate: [tex]\displaystyle \lim_{x \to 36} \frac{\sqrt{x} - 6}{x - 36} = \lim_{x \to 36} \frac{(\sqrt{x} - 6)'}{(x - 36)'}[/tex][Limit] Rewrite [Derivative Property - Addition/Subtraction]: [tex]\displaystyle \lim_{x \to 36} \frac{\sqrt{x} - 6}{x - 36} = \lim_{x \to 36} \frac{(\sqrt{x})' - (6)'}{(x)' - (36)'}[/tex][Limit] Differentiate [Derivative Rule - Basic Power Rule]: [tex]\displaystyle \lim_{x \to 36} \frac{\sqrt{x} - 6}{x - 36} = \lim_{x \to 36} \frac{\frac{1}{2\sqrt{x}}}{1}[/tex][Limit] Simplify: [tex]\displaystyle \lim_{x \to 36} \frac{\sqrt{x} - 6}{x - 36} = \lim_{x \to 36} \frac{1}{2\sqrt{x}}[/tex][Limit] Limit Rule [Variable Direct Substitution]: [tex]\displaystyle \lim_{x \to 36} \frac{\sqrt{x} - 6}{x - 36} = \frac{1}{2\sqrt{36}}[/tex]Evaluate: [tex]\displaystyle \lim_{x \to 36} \frac{\sqrt{x} - 6}{x - 36} = \frac{1}{12}[/tex]∴ the limit as x approaches 36 of the given function is equal to one-twelfths.
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Topic: AP Calculus AB/BC (Calculus I/I + II)
Unit: Limits
We are given with a limit and we need to find it's value , but first recall the identity which is the main key to this question :
[tex]{\boxed{\bf{a^{2}-b^{2}=(a+b)(a-b)}}}[/tex]Now , consider the limit we have ;
[tex]{:\implies \quad \displaystyle \sf \lim_{x\to 36}\dfrac{\sqrt{x}-6}{x-36}}[/tex]
Let's try direct substitution first ;
[tex]{:\implies \quad \displaystyle \sf \dfrac{\sqrt{36}-6}{36-36}}[/tex]
[tex]{:\implies \quad \displaystyle \sf \dfrac{6-6}{0}=\dfrac00}[/tex]
Here , we get an indeterminate form , so direct substitution didn't worked. So , consider again :
[tex]{:\implies \quad \displaystyle \sf \lim_{x\to 36}\dfrac{\sqrt{x}-6}{x-36}}[/tex]
Can be further written as ;
[tex]{:\implies \quad \displaystyle \sf \lim_{x\to 36}\dfrac{\sqrt{x}-6}{(\sqrt{x})^{2}-6^{2}}}[/tex]
Using the above identity we have ;
[tex]{:\implies \quad \displaystyle \sf \lim_{x\to 36}\dfrac{(\sqrt{x}-6)}{(\sqrt{x}-6)(\sqrt{x}+6)}}[/tex]
[tex]{:\implies \quad \displaystyle \sf \lim_{x\to 36}\dfrac{\cancel{(\sqrt{x}-6)}}{\cancel{(\sqrt{x}-6)}(\sqrt{x}+6)}}[/tex]
[tex]{:\implies \quad \displaystyle \sf \lim_{x\to 36}\dfrac{1}{\sqrt{x}+6}}[/tex]
Now , put the limit
[tex]{:\implies \quad \displaystyle \sf \dfrac{1}{\sqrt{36}+6}}[/tex]
[tex]{:\implies \quad \displaystyle \sf \dfrac{1}{6+6}}[/tex]
[tex]{:\implies \quad \displaystyle \sf \dfrac{1}{12}}[/tex]
[tex]{:\implies \quad \bf \therefore \quad \underline{\underline{\displaystyle \bf \lim_{x\to 36}\dfrac{\sqrt{x}-6}{x-36}=\dfrac{1}{12}}}}[/tex]
Tommy’s team has won 15 games and lost 10 games. What percent of its games has the team won?
Answer:
60%
Step-by-step explanation:
10 + 15
25
15/35 = 60%
We need to first find the total number of games so 15 plus 10 gets us 25. Then we take and divide the number of games won by the total number played, getting us 60%.
Have an amazing day!!
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How much money will be in Account A at the end of 3 years? $ How much money will be in Account B at the end of 3 years? $.
Account A is having $1,093 after 3 years. and Account B is having $1,120 after 3 years.
What is compound interest?Compound interest is the interest on a loan or deposit calculated based on the initial principal and the accumulated interest from the previous period.
Elisa put $1,000 in each bank.
Account A: gives her at a rate of 3% per annum compounded annually.
Account B: $40 bonus is added to the account each year.
After 3 years, account A will have
[tex]\rm Account \ A = 1000(1.03)^3\\\\Account \ A = 1093[/tex]
Account A is having $1,093 after 3 years.
After 3 years, account B will have
[tex]\rm Account \ B= 1000 + 3(40)\\\\Account \ B= 1,120[/tex]
Account B is having $1,120 after 3 years.
More about the compound interest link is given below.
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Answer:
A ; 1092.73
B ; 1120
Step-by-step explanation:
Two trains, train A and train B,weigh a total of 161 tons. Train A is heavier than train B. The difference of their weights is 125 tons. What is the weight of each train?
Answer:
Train A : 143 tons ; Train B : 18 tons
Step-by-step explanation:
Call train A as A, train B as B
A + B = 161t
A - B = 125t
A = (161+125) : 2 = 143t
B = 143t - 125t = 18t
Giving brainlyist to the person with the correct answer
Answer:
10 x 20
Step-by-step explanation:
it's 10 on the side of the shaded area, and 20 on the opposing side, so in this case, it must be 10 x 20 = 200.
hope it helps
Answer:
Your answer would be B!
Hope this helps.
Help please. giving brainliest.
Answer:
length×base×height
3
= 10×10×8
3
= 800
3
= 266.67cm³
Someone pls help asap I really need the answer real quick
Answer:
380.16
Step-by-step explanation:
To find the capacity of a tank: multiply the length by the width to get the area. Then multiply the area by height to get volume. Finally, multiply the volume by 7.48 gallons per cubic foot to get capacity.
The Juice Cafe posted the sign below showing the prices of smoothies of various sizes.
Which change would make the price of smoothies a function of the size?
A. change the smoothie prices so that each interval between prices is $0.50
B. change the first 12-ounce smoothie to a 10-ounce smoothie so that each smoothie size has only one price
C. change the price of the 22-ounce smoothie to $4.29 so that each price is assigned to only one smoothie size
D. change the 22-ounce smoothie to a 24-ounce smoothie so that each interval between smoothie sizes is 4 ounces
Answer:
i think its A
Step-by-step explanation:
hope this helps :>
can anyone help me to get the answers please its important 5. An item marked at ₹ 340 is sold for ₹ 324. What is the discount? 6. ___________ is the amount which we pay when we buy items
The value of expression x
2 + 3x
2 − 5n − 2 when x = 2 is
2 + 3x
= 5
X = 5Have a Nice day
Unit 8: right triangles & trigonometry date: ________________________ per: _______ homework 2: special right triangles.
The sides and angles of a triangle can be determined using trigonometry ratios
The values of x, y and z are [tex]x = 14\sqrt 2[/tex], [tex]y =14[/tex] and [tex]z = 14\sqrt 3[/tex]
How to determine the missing values of the triangleThe upper triangle is a right triangle with an angle measure of 45 degrees.
So, the value of x is:
[tex]x = 14\sqrt 2[/tex]
Next, we calculate the hypotenuse (h) of the lower triangle using:
[tex]h^2 = (14\sqrt 2)^2 + (14\sqrt 2)^2[/tex]
So, we have:
[tex]h^2 = 784[/tex]
Take the square roots of both sides
[tex]h = 28[/tex]
The value of y is then calculated using the following sine ratio
[tex]\sin(30) = \frac y{28}[/tex]
Make y the subject
[tex]y =28 * \sin(30)[/tex]
Evaluate
[tex]y =14[/tex]
The value of z is then calculated using the following cosine ratio
[tex]\cos(30) = \frac z{28}[/tex]
Make z the subject
[tex]z =28 * \cos(30)[/tex]
Evaluate
[tex]z =28 * \frac{\sqrt 3}{2}[/tex]
[tex]z = 14\sqrt 3[/tex]
Hence, the values of x, y and z are [tex]x = 14\sqrt 2[/tex], [tex]y =14[/tex] and [tex]z = 14\sqrt 3[/tex]
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In Cincinnati, fireworks are launched from a large barge on the Ohio River for a Labor Day celebration.
Their flight can be modeled by the function h(t) = -4.9(t - 4)2 + 80, where h is the height in meters and t is the time in seconds.
Suppose that buildings obstruct the fireworks. So, the barge is relocated 30 meters to the east.
Write a function to model the path of the fireworks in the new location.
The function to model the path of the fireworks in the new location is -4.9(t - 4)^2 + 50
Equations and expressionGiven the height reached by the flight expressed as:
h(t) = -4.9(t - 4)^2 + 80
If the barge is relocated 30 meters to the east, the new function will be derived by subtracting 30 from the initial function
New function = -4.9(t - 4)^2 + 80 - 30
New function = -4.9(t - 4)^2 + 50
Hence the function to model the path of the fireworks in the new location is -4.9(t - 4)^2 + 50
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the zoo has 400 employess 72 percent of them are part time employess how many employess work full-time
Answer:
112
Step-by-step explanation:
There are 400 employees. If 72 of them work part-time, then 72% of 400 = 400*72%. This equals 288. Then you subtract that from 400 because the rest of them should be full-time workers. 400-288=112.
Answer:
112
Step-by-step explanation:
400 x 0.72 = 288, so that's the number of part-time employees.
400 - 288 = 112
Factoring polynomials, Ill raise the amount of points for each question right
Answer: (k - 1) (9k^2 + 1)
What is the slope of this line?
Answer:
M=6/7 (M= six over seven)
Step-by-step explanation:
Answer:
[tex]\boxed{\sf{-3}}[/tex]
Step-by-step explanation:
You can solve this problem by using the slope formula to find the slope of the line.
Slope formula:
[tex]\sf{\dfrac{Y_2-Y_1}{X_2-X_1}=\dfrac{RISE}{RUN}}[/tex]
y2=(-2)
y1=10
x2=(-5)
x1=(-9)
Rewrite the problem down and then solve it.
[tex]\sf{\dfrac{(-2)-10}{(-5)-(-9)} }=\dfrac{-2-10}{-5+9}=\dfrac{-12}{4}[/tex]
Divide by 4 as well.
[tex]\sf{\dfrac{-12\div4}{4\div4}=\dfrac{-3}{1}=\boxed{\sf{-3}}}[/tex]
Therefore, the slope is -3.
I hope this helps! Let me know if my answer is wrong or not.
Is this right. Can you explain? Algebra
Answer:no the correct answer should be (4,1)
Step-by-step explanation:
I reduced the equations to linear form then I used substitution to find the cordinents.
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Nᴇᴇᴅ Hᴇʟᴘ ¡!
Here's a question :-
1) The radii of the ends of a frustum of a cone 45cm high are 28cm and 7cm ( see figure ) . Find it's volume , the curved surface area ( Take π = 22/7 ) .
________________________________
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Answer:
volume: 49280 cm³ and curved S.A = 5826.64 cm²
Explanation:
height of smaller cone: h₂radius of smaller cone: 7height of bigger cone: 45 + h₂radius of bigger cone: 28using similarities:
[tex]\sf \frac{45 + h2}{28} = \frac{h2}{7}[/tex]
[tex]\sf 315 + 7h2 = 28h2[/tex]
[tex]\sf 315 = 28h2-7h2[/tex]
[tex]\sf 315 = 21h2[/tex]
[tex]\sf 15 = h2[/tex]
total height of the cone: 45 + 15 = 60 cm
solve for volume:
[tex]\sf volume \ of \ cone \ = \frac{1}{3} \pi r^2 h[/tex]
[tex]\sf volume \ of \ cone \ = \frac{1}{3} \pi (28)^2 (60)[/tex]
[tex]\sf volume \ of \ cone \ = 15680\ *\frac{22}{7}[/tex]
[tex]\sf volume \ of \ cone \ = 49280 \ cm^3[/tex]
First find the slant height using Pythagoras theorem -
[tex]\sf l^2 = r^2 + h^2[/tex]
[tex]\sf l =\sqrt{ r^2 + h^2}[/tex]
[tex]\sf l =\sqrt{ (28)^2 + (60)^2}[/tex]
[tex]\sf l =66.212 \ cm[/tex]
solve for curved surface area:
[tex]\sf curved \ surface \ area = \pi rl[/tex]
[tex]\sf curved \ surface \ area = \pi (28)(66.2)[/tex]
[tex]\sf curved \ surface \ area =5826.64 \ cm^2[/tex]
Problème:
Une épreuve de patinage de vitesse se déroule sur une piste dont les dimensions sont les suivantes:
Deux lignes droites de 82,19 m chacune et deux virages semi-circulaires de 75 m de diamètre.
1)Quelle est la longueur de la piste?
2)Les filles disputent une course sur 3000 m et les hommes sur 5000 m. Combien les concurrents doivent-ils parcourir de tours?
Merci d'avance.
Answer:
1) 314.38 m
2) Je ne sais pas.
Construction on Greenville High School’s football stadium costs $2,580 plus an additional $230 per day for labor. Construction on the school’s new baseball stadium costs $1,290 plus an additional $552.50 per day for labor.
What is the cost when both construction projects cost the same amount?
Answer: 4,856
Step-by-step explanation:
YEEE
Solve this problem. What is x?
Don’t forget to use the equation a^2 + b^2 = c^2
SHOW YOUR WORK.
Step-by-step explanation:
a²+b²=c²
THIS is the Pythagorean theorem which is:
Hypotenuse² + Base² = perpendicular ²
Thus inputting values:
(√117)² + (6)² = (x)²
117 + 36 = x²
x² = 153
x= √153 (ans)
What is the slope of the line that passes through the points (0,-10) and (-4,-11)? Write your answer in simplest form.
The slope of the line that passes through the points (0,-10) and (-4,-11) will be 1/4.
What is the slope?The slope is the ratio of the vertical changes to the horizontal changes between two points of the line. Slope of parallel lines are same. Slopes of perpendicular lines are negative reciprocal of each other. The more the slope is, the more the line is vertical. When slope is zero, the line is horizontal.
Its slope would be:
[tex]m = \dfrac{y-q}{x-p}[/tex]
Given that the line passes through the points (0,-10) and (-4,-11).
From the formula to find the slope of a line which passes through points
m= y2-y1 / x2-x1
Substitue the points (0,-10) and (-4,-11).
The slope = m = -11-(-10) /. -4-0
m = -1/-4
m = 1/4
Therefore, the slope of the line that passes through the points (0,-10) and (-4,-11) will be 1/4.
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A quadrilateral has angles that measure 115, 97, and 68. What is the measure of the missing angle?
The sum of all the angles of any quadrilateral is 360 degrees
115 + 97 + 58 + missing angle = 360
missing angle = 90 degrees
Hope that helps!
Answer:
90
Step-by-step explanation:
Since sum of all the angles of any quadrilateral is 360 degrees
115 + 97 + 58 + x = 360
Solve for x:
Add the numbers
270 + x = 360
Rearrange terms
x + 270 = 360
Subtract 270 from both sides of the equation
x + 270 - 270 = 360 - 270
Simplify
x = 90
Missing angle = 90
[RevyBreeze]
