Answer:
5/10
Step-by-step explanation:
which expression is equivalent to 5(4r+3)-2x
Hey there!
5(4r + 3) - 2x
DISTRIBUTE 5 WITHIN the PARENTHESES
= 5(4r) + 5(3) - 2x
= 20r + 15 - 2x
COMBINE the LIKE TERMS (if they are any)
Seems like you don’t have any like terms so we could leave it as it is!
= 20r + 15 - 2x
= 20r - 2x + 15
Therefore, the answer should be:
20r - 2x + 15
Good luck on your assignment & enjoy your day!
~Amphitrite1040:)
A cone has a slant length of 5 and a diameter of 4. what is the volume of the cone? use π ≈ 3.14. 12.56 cubic units 18.84 cubic units 20.93 cubic units 25.12 cubic units
The volume of the cone with the given parameters is calculated as approximately: 19.17 cubic units.
How to Find the Volume of a Cone?Volume = 1/3πr²h
Given the following:
Diameter = 4 unitsRadius (r) = diameter/2 = 4/2 = 2 unitsSlant height (l) = 5 unitsHeight (h) = √(5² - 2²) = 4.58 unitsVolume of the cone = 1/3π(2²)(4.58)
Volume of the cone = 19.17 cubic units.
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Answer:
12.56 edge
Step-by-step explanation:
Find the surface area of a cylinder with a base radius of 5 ft and a height of 6 ft.
p2 — 6р + n
I can’t find the anywhere can someone help?
the roots of the equation, px^2 - 6qx - (9p - 10q) = 0 are 2 ⴛ - 3 and 2β – 3, find the equation whose roots are ⴛ and β
Step-by-step explanation:
Solution :-Given quadratic equation is
px²-6qx-(9p-10q) = 0
On comparing with the standard quadratic equation ax²+bx+c = 0
a = p
b = -6q
c = -(9p-10q) = -9p+10q
Given roots of the equation = 2 Ⴛ - 3 and
2 Ⴛ - 3 and 2β – 3
We know that
Sum of the roots = -b/a
=> 2 Ⴛ - 3 + 2β – 3 = -(-6q)/p
=> 2 Ⴛ + 2β - 6 = 6q/p
=> 2 Ⴛ + 2β = (6q/p)-6
=> 2 Ⴛ + 2β = (6q-6p)/p
=> 2(Ⴛ + β) = (6q-6p)/p
=> Ⴛ + β = (6q-6p)/(2p)
=> Ⴛ + β = 2(3q-3p)/(2p)
=> Ⴛ + β = (3q-3p)/p ---------(1)
Product of the roots = c/a
=> (2 Ⴛ - 3 )( 2β – 3) = (-9p+10q)/p
=> 4Ⴛ β-6Ⴛ - 6β+9 = (-9p+10q)/p
=> 4Ⴛ β-6(Ⴛ +β)+9 = (-9p+10q)/p
=> 4Ⴛ β-6[(3q-3p)/p]+9 = (-9p+10q)/p
=> 4Ⴛ β-6[(3q-3p)/p] =[ (-9p+10q)/p]-9
=> 4Ⴛ β-6[(3q-3p)/p] = (-9p+10q-9p)/p
=> 4Ⴛ β-6[(3q-3p)/p] = (-18p+10q)/p
=> 4Ⴛ β =[(-18p+10q)/p]+6[(3q-3p)/p]
=> 4Ⴛ β =[(-18p+10q)/p]+[(18q-18p)/p]
=> 4Ⴛ β =[(-18p+10q)+18q-18p)]/p
=> 4Ⴛ β = (-36p+28q)/p
=> 4Ⴛ β = 4(-9p+7q)/p
=> Ⴛ β = 4(-9p+7q)/4p
=> Ⴛ β = (-9p+7q)/p
=> Ⴛ β = (7q-9p)/p ----------(2)
We know that
The quadratic equation whose roots are Ⴛ and β is x²-(Ⴛ+ β)x +Ⴛ β = 0
=> x²- [ (3q-3p)/p]x + [ (7q-9p)/p] = 0
=> [px²-(3q-3p)x+(7q-9p)]/p = 0
=> [px²-(3q-3p)x+(7q-9p)] = 0×p
=> px²-(3q-3p)x+(7q-9p) = 0
Answer :-The required quadratic equation is
px²-(3q-3p)x+(7q-9p) = 0
Used Formulae:-The standard quadratic equation is ax²+bx+c = 0The quadratic equation whose roots are Ⴛ and β is x²-(Ⴛ+ β)x +Ⴛ β = 0Sum of the roots = -b/aProduct of the roots = c/aFind the moment of inertia about the y-axis of the thin semicirular region of constant density
The moment of inertia about the y-axis of the thin semicircular region of constant density is given below.
[tex]\rm I_y = \dfrac{1}{8} \times \pi r^4[/tex]
What is rotational inertia?Any item that can be turned has rotational inertia as a quality. It's a scalar value that indicates how complex it is to adjust an object's rotational velocity around a certain axis.
Then the moment of inertia about the y-axis of the thin semicircular region of constant density will be
[tex]\rm I_x = \int y^2 dA\\\\I_y = \int x^2 dA[/tex]
x = r cos θ
y = r sin θ
dA = r dr dθ
Then the moment of inertia about the x-axis will be
[tex]\rm I_x = \int _0^r \int _0^{\pi} (r\sin \theta )^2 \ r \ dr \ d\theta\\\\\rm I_x = \int _0^r \int _0^{\pi} r^3 \sin ^2\theta \ dr \ d\theta[/tex]
On integration, we have
[tex]\rm I_x = \dfrac{1}{8} \times \pi r^4[/tex]
Then the moment of inertia about the y-axis will be
[tex]\rm I_y = \int _0^r \int _0^{\pi} (r\cos\theta )^2 \ r \ dr \ d\theta\\\\\rm I_y = \int _0^r \int _0^{\pi} r^3 \cos ^2\theta \ dr \ d\theta[/tex]
On integration, we have
[tex]\rm I_y = \dfrac{1}{8} \times \pi r^4[/tex]
Then the moment of inertia about O will be
[tex]\rm I_o = I_x + I_y\\\\I_o = \dfrac{1}{8} \times \pi r^4 + \dfrac{1}{8} \times \pi r^4\\\\I_o = \dfrac{1}{4} \times \pi r^4[/tex]
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In the xy-plane, line k passes through the points (8,4) and (9, 10), and is defined by the equation = mx+ b. What is the value of b?
Answer:
-44
Step-by-step explanation:
The slope of the line passing through two points (x₁, y₁) and (x₂, y₂) is given by (y₂ - y₁)/(x₂ - x₁)
Therefore the slope of the given line k = (10-4)/(9-8) = 6
In the slope intercept equation, y = mx + b, m is the slope and b is the y intercept
Substituting for m we get the line equation as
y = 6x + b
Substitute any one of the points in this equation. Let's use point(8,4) ie x= 8, y =4
we get
4 = 6 x 8 + b
which gives b = 4-48 = -44
[a] 0.2
Convert to a single fraction
Answer:
1/5
Step-by-step explanation:
0.2 is the same as 2/10. you then must reduce the fraction
Step-by-step explanation:
here is the single fraction of it
[tex] \frac{1}{5} = 0.2[/tex]
the polynomial function f(x) =-x^3 +x^2+14x-24
Each parking space will be 19 feet by 8 feet. what is the maximum number of parking spaces that will fit in the lot? 10 30 35 40
The maximum number of parking spaces that will fit in the lot given the area of the parking lot is 30.
what is the maximum number of parking spaces that will fit in the lot?The parking lot has the shape of a rectangle. The area of a rectangle is length x width
The area of the available parking space = length of the lot - [width of the lot - (width of the alley x 2)
80 x (77 - 10 - 10) = 4560 ft²
Maximum number of parking spaces = 4560 / (19 x 8) = 30
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Evaluate - 6r + s - rs for r = 5 and s = - 7.
A. 72
B. - 12
C. 58
D. - 2
Answer:
(D) -2
Step-by-step explanation:
Plug in r=5 and s=-7 to the equation:
-6(5)+(-7)-(5)(-7)
Now we can solve and simplify:
-30-7+35
Combine:
-2
Hey there!
-6r + s - rs
= -6(5) + (-7) - 5(-7)
= -6(5) - 7 - 5(-7)
= -30 - 7 - 5(-7)
= -30 - 7 + 5
= -37 - (-35)
= -2
Therefore, your answer is: -2
Good luck on your assignment & enjoy your day!
~Amphitrite1040:)
Which angles appear to be less than 95°?
Select all that apply.
Answer:
the 2 one and the last one
Step-by-step explanation:
can someone help me please? Thank you!
Answer:
see the attachment!
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Help ill give brain thing
Help me!
The window has the shape of a kite. How many square meters of glass were used to make the window?
Remember, convert to meters!
Work out the length of x
Give your answer rounded to 3 significant figures.
(not drawn accurately)
Answer:
11.2 mm
Explanation:
Given a right angle triangle, In order to find the third side: Use Pythagoras Theorem: a² + b² = c²
Insert Values:
x² + 3.8² = 11.8²
x² + 14.44 = 139.24
x² = 139.24 - 14.44 (subtract)
x² = 124.8
x = √124.8 (square root)
x = 11.1714 ≈ 11.2 (rounded to 3 significant figures)
3.8 mm
11.8 mm
to find:the unknown "x"
solution:we'll have to use pythagoras theorem.
unknown value is x
[tex] {c}^{2} = {b}^{2} - {a}^{2} [/tex]
[tex] {x}^{2} = {11.8}^{2} - {3.8}^{2} [/tex]
[tex] {x}^{2} = 124.8[/tex]
[tex] {x}^{2} = \sqrt{124.8} [/tex]
[tex]x = 11.17139204[/tex]
[tex]x = 11.2 \: mm[/tex]
3) The measure of angle A is 59.5 degrees. Angle B is supplemental to Angle A. What is the measure of angle B? Show your work here to find the measure of angle B.
Show Your Work Step By Step
Answer:
Angle B = 120.5°
Step-by-step explanation:
When two angles are supplementary, it means that they add up to 180°. Therefore, you can find the measure of Angle B by doing the following:
Angle B = 180 - 59.5
Angle B = 120.5°
Hope this helps
PLSSS HELP IF YOU TURLY KNOW THISS
i really need help in my Algebra 1 class
Select all the numbers that are solutions to the equation x^3=27
1. √27
2. 3
3. 3√27
4. 27^3
5. 9
SELECT ALL THAT APPLY
√ = SQUARE ROOT
BRAINLIEST FOR CORRECT ANSWER. NOT CORRECT ANSWER GETS YOU REPORTED. ty so much
Answer:
Number 2 is the correct answer. The cube root of 27 is 3.
Step-by-step explanation:
[tex] {x}^{3} = 27[/tex]
[tex]x = \sqrt[3]{27} = 3[/tex]
Rodrigo works at a flower shop. He recorded how many flowers each customer purchased
yesterday. This box plot shows the results.
Flowers purchased
++
2
6
8
10
12
What percent of the customers purchased fewer than 6 flowers?
%
Answer:
50
Step-by-step explanation:
I have none I got it wrong lol
Write the following system of equations as an equivalent single equation without the y variable. x + y = 10 y = 4x + 5
The system of equations which is represented the equivalent single equation without the y variable in it is x-1=0.
What is a system of equation?A system of equation is the set of equation in which the finite set of equation is present for which the common solution is sought.
The system of equations as an equivalent single equation without the y variable has to be found out for the given equation.
The first equation given in the problem is,
[tex]x + y = 10[/tex]
Subtract x from both sides and solve it for y,
[tex]x + y -x= 10-x\\y=10-x[/tex] .........1
The second equation given in the problem is,
[tex]y = 4x + 5[/tex]
Put the value of y in this equation from equation 1 as,
[tex]y = 4x + 5\\10-x = 4x + 5\\10-5=4x+x\\5=5x\\5x-5=0[/tex]
Divide both side with number 5,
[tex]x-1=0[/tex]
Thus, the system of equations which is represented the equivalent single equation without the y variable in it is x-1=0.
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On his last four tests, Danilo scored 55%, 78%, 84%, and 93%. What score should he get on the next test so that his average on all five tests is 80%?
82.5%
80%
90%
92.5%
Answer:
Do you have weight
Step-by-step explanation:
Are these tests weight the same or different?
Please solve by factoring:
f(x)=6x²-14x
Answer:
f(x)=2x(3x-7) is what I got.
Isaac and his workout partner are lifting weights together, doing many sets of each exercise. On a certain exercise, Isaac is using a 5-kilogram bar, increasing the amount of weight he lifts by 5 kilograms on each set. His partner, meanwhile, started out using a 7-kilogram bar and is upping the weight by adding 3 kilograms on every set. Eventually, Isaac and his workout partner will be lifting the same amount, and will take turns using the same barbell. How much weight will they be lifting then? How many sets will they have completed?
The weight Isaac and his workout partner lifting when they both lifting the same amount, after the 1 set and the weight they be lighting is 10 kg.
What is an unknown variable?Unknown variables are used to find the unknown values of the problem using the algebraic expressions.
To find the values of unknown quantity, the statements of a problem is converted in the algebraic equation form using the variable in place of unknown numbers.
Isaac and his workout partner are lifting weights together, doing many sets of each exercise.
Isaac is using 5-kg bar, and increasing the amount of weight he lifts by 5 kg on each set. The weight he lifts after x set is,
5+5x
His partner, started out using a 7-kg bar and is upping the weight by adding 3 kg on every set. The weight his partner lift after x set is,
7+3x
Let after x sets, the weight lifted by both will be same. Thus,
[tex]5+5x=7+3x\\5x-3x=7-5\\2x=2\\x=\dfrac{2}{2}\\x=1[/tex]
Thus, the weight Isaac and his workout partner lifting when they both lifting the same amount, after the 1 set and the weight they be lighting is 10 kg.
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please solve please be right
Answer:
152
Step-by-step explanation:
Substitute 6 in for x since x = 6:
8(3(6) + 1)
8(18 + 1)
8(19)
= 152
hope this helps!
helppppppp 58 points
Answer:
19 sq cm
Step-by-step explanation:
2x2=4
2x3=6
1x3=3
2x3=6
6+6+4+3=19
Please help. Will give 20 points .Use the rectangle to find the lengths of the following sides if AC=26 and BC=10
Answer:
Step-by-step explanation:
Answer:
BC = 18.385
Step-by-step explanation:
You can look at ABC as a right triangle and use the Pythagorean theorem to solve for BC. 26 squared is 676, 676 divided by 2 is 338, and finally the square root of 338 is 18.385. This is the length of BC and AB as well. Hope that helped
the 2.5% of people who slept the most got more sleep than how many hours of sleep
Find the measure of each angle.
If m∠EBC = 55° and m∠EBD = 20°, find m∠2
Using the angle addition theorem, the measure of angle 2 in the given diagram is: m∠2 = 35°
What is the Angle Addition Theorem?Based on the angle addition theorem, the sum of two smaller angles that make up a bigger angle equals the sum of the bigger angle.
Given the following:
m∠EBC = 55° m∠EBD = 20°m∠EBC = m∠EBD + m∠2 [angle addition theorem]
Substitute
55 = 20 + m∠2
m∠2 = 55 - 20
m∠2 = 35°
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