A conical lid’s height is 2 centimeters less than the radius, x, of its base. If the lid is made of 25π cubic centimeters of clay, the equation x3 +? x2 +? = 0 can be used to find that the radius of lid’s base is centimeters.
The required expression that can be used to find the radius of the conical lid's with a height 2 centimeters less than the radius, x, of its base is x³-2x²-75 = 0
The formula for calculating the volume of the conical lid's is expressed as
[tex]V = \frac{1}{3} \pi r^2h[/tex] where:
r is the radius
h is the height
v is the volume
Given the following
r = x
If the conical lid’s height is 2 centimeters less than the radius, x, then;
h = x - 2
V = 25π cm³
Substitute the given values into the formula as shown:
[tex]25 \pi = \frac{1}{3} \pi x^2 (x-2)\\3(25) = x^2(x-2)\\Expand\\75=x^3-2x^2\\Swap\\x^3-2x^2 = 75\\Equate \ to \ zero\\x^3-2x^2 - 75 = 0[/tex]
Hence the required expression that can be used to find the radius of the conical lid's with a height 2 centimeters less than the radius, x, of its base is x³-2x²-75 = 0
What is the monetary amount of 31 quarters, 13 dimes, 5 nickels and 3 pennies?
Answer:
$9.33
Step-by-step explanation:
quarter = 25 cents
dime = 10 cents
nickel = 5 cents
penny = 1 cent
31 (0.25) = 7.75
13 (0.10) = `1.30
5 (0.05) = 0.25
3(0.01) = 0.03
7.75 + 1.30 + 0.25 + 0.03 = 9.33
Answer:
$9.33 or 933 cents
Step-by-step explanation:
Concepts:
Coins are a form of currency. They're tiny, flat, and made of metal. There are various types of coins worldwide, but the main ones in the USA are quarters, dimes, nickels, and pennies. To write the value of a coin, you can use the format $0.00 or use cents/¢ at the end of it. One quarter is worth 25 cents, one dime is worth 10 cents, one nickel is worth 5 cents, and one penny is worth one cent.Expressions are mathematical sentences that have at least two terms with numbers/variables and at least one operationSolving:
Since we know the value of each coin, let's set up an expression:
q = 25, d = 10, n = 5, p = 1
(31 · q) + (13 · d) + (5 · n) + (3 · p)
Now, let's solve our expression!
1. Plug in the values of q, d, n, and p
(31 · 25) + (13 · 10) + (5 · 5) + (3 · 1)2. Simplify the terms in the parentheses
(31 · 25) + (13 · 10) + (5 · 5) + (3 · 1)(775) + (130) + (25) + (3)775 + 130 + 25 + 33. Add all the terms together
775 + 130 + 25 + 3905 + 25 + 3930 + 3933Now, we know the the monetary amount of 31 quarters, 13 dimes, 5 nickels and 3 pennies is 933 cents. However, we can also write it in decimal form by moving the decimal point to the left 2 times from the last digit of 933, 3: 933.0 -> 93.30 -> 9.330, and 9.330 = 9.33. Therefore, the answer is 933 cents or $9.33.
someone help please
Answer:
x=4
Step-by-step explanation:
3/4x +4 = 7
3/4x +4-4 = 7-4
3/4x = 3
Multiply each side by 4/3
4/3 * 3/4x = 3 *4/3
x = 4
Answer:
x = 4
Step-by-step explanation:
3/4x + 4 = 7
3/4x = 3
To remove the denominator, we multiply by 4 on both sides
3x = 12
x = 4
Sailor Sheftal
Special Right Triangles (Radical Answers)
Jul 21, 10:57:01 AM
?
The figure below is a square. Find the length of side 3 in simplest radical form with a
rational denominator.
9
.
Submit Ansurer
Answer: 2=
Pls help me
Answer: [tex]9\sqrt{2}[/tex]
Step-by-step explanation:
The sides of a square are all equal in length.Use the Pythagorean Theorem:
[tex]9^{2} +9^{2} =x^{2}\\x=\sqrt{9^{2} +9^{2}} =\sqrt{2(9)^{2} } =9\sqrt{2}[/tex]
Find the sum... 6.87 + 2.39
Answer:
9.26
Step-by-step explanation:
Using the table, we can deduce that:
6+2 = 8
8+3=11
7+9=16
Using addition rules:
The '1' in the 11 moves and is added to the 'ones' place.
The '1' in the 16 moves and is added to the 'hundredths' place.
Thus,
8+1 . (1+1) (6)
9.26
It is also most certainly possible to use a calculator, which is much, much easier.
Find the sum... 6.87 + 2.39
6.87 + 2.39=9.26
What is the inverse of the function y = -8x + 15?
A. y = 1/8x + 15
B. y = -8x - 15
C. y = (x - 15)/-8
D. y' '= -1/8x + 1/15
Answer:
c) ( x-15)/-8
Step-by-step explanation:
c) (x-15) / -8
Answer:
Solution given:
y = -8x + 15
interchanging role of x and y
we get
x=-8y+15
solve for y
x-15=-8y
divide both side by-8
we get
-8y/-8=(x-15)/-8
y=(x-15)/-8
:.
C. y = (x - 15)/-8 is a required inverse.
Let f(x) = 9x − 1 and g(x) = x3. Evaluate (g ∘ f)(1).
Step-by-step explanation:
here's the answer to your question
find x you know
|8-x|=x^2+x
A construction company needs to remove 18 tons of dirt from a construction site. They can remove 2/3 tons of dirt each hour. How long will take to remove the dirt? Write your answer in simplest form
Answer:
27 hours
Step-by-step explanation:
Take the amount of dirt and divide by the amount per hour
18 tons ÷ 2/3 ton per hour
Copy dot flip
18 * 3/2
Rewriting
18/2 * 3/1
9*3 = 27
27 hours
help me with this question of O math
Answer:
domain is { - 1, 0, 1 }
Step-by-step explanation:
The domain are the values of the input x
Substitute the value from the range y into the equation and solve for x
y = 1
2x + 3 = 1 ( subtract 3 from both sides )
2x = - 2 ( divide both sides by 2 )
x = - 1
-------------------------------
y = 3
2x + 3 = 3 ( subtract 3 from both sides )
2x = 0 , then
x = 0
-------------------------------
y = 5
2x + 3 = 5 ( subtract 3 from both sides )
2x = 2 ( divide both sides by 2 )
x = 1
Then the domain is { - 1, 0, 1 }
Please help me solve this guys today is my last day & I’ve been trying so hard
y = x^2 - 3x - 4
Factored Form: y = (x - 4)(x + 1)
X-Intercepts: (4,0) and (-1,0)
Axis of Symmetry: x = 1.5
Vertex: (1.5, -6.25)
Domain: All real numbers
Range: y > -6.25
Hope this helps!
find the missing length indicated
Answer:
240
Step-by-step explanation:
We are given a right triangle. Based on the leg rule, the following equation shows how the length of a leg in a right triangle relates with the segments connected to the hypotenuse:
Hypotenuse/leg = leg/part
Where,
Hypo = 400
Leg = x
Part = 144
Substitute
400/x = x/144
Cross multiply
400*144 = x*x
57,600 = x²
√57,600 = x
240 = x
x = 240
Find the missing side length in the image below
Answer:
Step-by-step explanation:
Which congruence theorem can be used to prove
ABR = RCA?
Answer: The HL Theorem can be used to prove ABR ≅ RCA because both triangles share the same hypotenuse and a leg. The HL theorem states that If the hypotenuse and one leg of a right triangle are congruent to the hypotenuse and one leg of another right triangle, then the triangles are congruent.
I need help with this question pls!
Answer:
Answer is D
Step-by-step explanation:
cuh s
PLEASE HELP ME PLEASE PLEASE
Torren deposits $4500 in an account earning 2% interest, compounded
annually. The equation that represents this situation is:
A(n) = 4500(1 + 0.02)" - 1
How much will he have in the account at the beginning of year 9? Round your
answer to the nearest dollar.
An amount of $ 5272 he will have in the account at the beginning of year 9. Option D is corect.
What is the equation?A mathematical statement consisting of an equal symbol between two algebraic expressions with the same value is known as an equation.
The expression is;
[tex]\rm A(n) = 4500(1+0.02)^{n-1}[/tex]
At the beginning of 9-year value of n is 9,substitute the value to get he amount;
[tex]\rm A(n) = 4500(1+0.02)^{n-1} \\\\ \rm A(n) = 4500(1+0.02)^{9-1} \\\\ A(n) = \$ 5272[/tex]
Hence, option D is corect.
To learn more, about equations, refer;
https://brainly.com/question/10413253
#SPJ1
Help asap please difficult
[tex] \sf\huge\underline\purple{✏question}[/tex]
The lines presented by equations
[tex]2y + 5x = 2 \sf \: and \: y = - \frac{2}{5} + 3 \: are[/tex]
[tex] \sf\huge\underline\pink{✏ANSWER}[/tex]
PeRpEnDeCuLaR
(Perpendicular)
#BrainliestBunch
f(x) = 3+3x-1+3x^4 , g(x) = -x^3+x^2-x+2-x^4. tính f(x)+g(x) và f(x) -g(x)
Step-by-step explanation:
= 3+3x-1+3x^4 , g(x) = -x^3+x^2-x+2-x^4. tính f(x)+g(x) và f(x) -g(x)
5-6. Find the constant of proportionality (unit rate) for each set of values. Then use the constant of proportionality to write an equation that relates the two values in the table.
5. profit per shirt sold pound Shirts (s) 5 10 15 Profit (p) $7.50 $15.00 $22.50 Apples (a) 4 5 6 Price (p) $7.96 $9.95 $11.94
Hi
6 . Price per
7-8. Determine whether the relationship between the two quantities shown in the table is proportional by graphing on the coordinate plane. Explain your reasoning.
Number of 1 2 3 4 5 Pen sCost $2 54 56 58 $10 7. Cost of Buying Pens Number of 1 2 3 4Minutes Words Typed 50 90 140 180 8. Words Typed.
Solve this fast and I’ll give you 47 points
5. The constant of proportionality is 1.5
The equation is p = 1.5×s
6. The constant of proportionality is 1.99
The equation is p = 1.99 × a
7. The variables Number of Pens and Cost are not proportional
Please find attached the required graph
8. The variables Number of minutes and Words Typed are not proportional
Please find attached the required graph
The procedure for finding the answers are as follows;
5. The given data are presented as follows;
[tex]\begin{array}{ccc}Shirts \ (s)&&Profit \ (p)\\5&&7.50\\10&&15.00\\15&&22.50\end{array}[/tex]
Where two variables, s and p are proportional, we get;
p ∝ s
Therefore;
p = C × s
C = p/s
Where;
C = The constant of proportionality
Therefore, the constant of proportionality, C, of the given variables, (number of shirts, s, and profit, p, is found as follows;
C = 7.50/5 = 15.00/10 = 22.50/15 = 1.5
The constant of proportionality, C = 1.5
The equation that relates the two values is p = 1.5×s
6. For the apples to price relationship, we have;
[tex]\begin{array}{ccc}Apples \ (a)&&Price\ (p)\\4&&7.96\\5&&9.95\\6&&11.94\end{array}[/tex]
Therefore;
p ∝ a
p = C × a
C = p/a
Plugging in the values gives;
C = 7.96/4 = 9.95/5 = 11.94/6 = 1.99
The constant of proportionality, C = 1.99
Therefore, the equation relating the two values is p = 1.99 × a
7. The given data is presented in a tabular form as follows;
[tex]\begin{array}{ccc}Number \ of \ pens &&Cost\ \\1&&52\\2&&54\\3&&56\\4&&58\end{array}[/tex]
A set of data is proportional or has a proportional relationship if their x, and therefore, y-intercept is (0, 0)
From the graph of the data, created with MS Excel, the y-intercept is 50 which is not equal to zero, therefore, the relationship between the data is not a proportional relationship
8. The given data is presented in a tabular form as follows;
[tex]\begin{array}{ccc}Number \ of \ Minutes&&Words \ Typed\ \\1&&50\\2&&90\\3&&140\\4&&180\end{array}[/tex]
From the graph of the data, we have that the y-intercept of the line of best fir is 5, therefore, the relationship is not a proportional relationship
Learn more about proportional relationships here;
https://brainly.com/question/24289972.
If mAngleVUW = (4x + 6)° and mAngleWUT = (6x – 10)°, what is the measure of AngleWUT?
Answer:
2 is the answer........
Answer:
the answer is 38 degrees
Step-by-step explanation:
just took test on ed
10000-10000+100000-100000
Answer:
0
Step-by-step explanation:
Which table shows a function that is increasing only over the interval (–2, 1), and nowhere else?
A 2-column table with 6 rows. The first column is labeled x with entries negative 3, negative 2, negative 1, 0, 1, 2. The second column is labeled f of x with entries negative 6, negative 3, negative 1, 1, 3, 6.
A 2-column table with 6 rows. The first column is labeled x with entries negative 3, negative 2, negative 1, 0, 1, 2. The second column is labeled f of x with entries negative 2, negative 4, negative 1, 1, 4, 3.
A 2-column table with 6 rows. The first column is labeled x with entries negative 3, negative 2, negative 1, 0, 1, 2. The second column is labeled f of x with entries negative 3, negative 5, negative 7, negative 6, 1, negative 1.
A 2-column table with 6 rows. The first column is labeled x with entries negative 3, negative 2, negative 1, 0, 1, 2. The second column is labeled f of x with entries 5, 7, 1, 0, negative 4, negative 2.
Answer:
the answer is c
Step-by-step explanation:
Answer:
c
Step-by-step explanation:
the positions of two villages A and B. Village B is 100km away and on a bearing of 083° from village A.
a) Calculate the bearing of A from B
Answer:
23•1
Step-by-step explanation:
83°/360°×100km=23•1
Given mn, find the value of x.
+
(6x+9)
m
(4x-19)
Answer:
Submit Answer
attempt 1 out of 2
I really need help with this
Answer:
x = 19
Step-by-step explanation:
The two angles with measures are supplementary.
6x + 9 + 4x - 19 = 180
10x - 10 = 180
10x = 190
x = 19
Answer:
10x -10
Step-by-step explanation:
this answer is really sure
PLEASE HELP URGENT!!! QUESTION IS IN PICTURE PLEASE
Angle 3 and Angle 5 are corresponding angles. Corresponding angles lie in the same relative position. As such, they are congruent.
50x - 100 = 25x + 25
25x - 100 = 25
25x = 125
x = 5
Angle 3 = 50(5) - 100 = 250 - 100 = 150
Angle 5 = 25(5) + 25 = 125 + 25 = 150
Hope this helps!
what is the slope of the line?
The slope is -1.
You have to find the two closest points where the line directly hits a number. For that, we have -3 in the first quadrant and -3 in the third quadrant. With this info, the line goes down 3 times and to the right 3 times, The ratio would look like this: [tex]\frac{-3}{3}[/tex]. Divide both and you get -1. Hope that helped!
helppppppppppppppppppppppppppppppp
Solve the mean for the data set. (4,11,25,1,17,34,11,30)
A. 12
B. 14.5
C. 16.6
D. 18.9
Answer:
The mean is C. 16.6
Step-by-step explanation:
the mean is the average, to find the average add all the numbers together and divide by the amount of numbers
4+11+25+1+17+34+11+30=133
133/8 = 16.6
if the radius of a sphere is7 cm find its volume
Answer:
1437.33 cm square
Step-by-step explanation:
Now we will use the frmula to et the volume of a sphere
volume of sphere is
4÷3pi r cube
where r is the radius of the sphere
Use properties to evaluate
(2)-27
3)
QUESTION
3
-3
O O O O
27
-27