Step-by-step explanation:
2x/3 -4 = x
multiply both side by 3
2x - 12 = 3x
-x = 12
x = -12
if there are 3 odd numbers and 2 even numbers what is the probability
There is 5 total. Umbers and 3 of them are odd.
The probability of getting odd is the number of odd over total numbers:
Probability of odd = 3/5
Answer:
P ( odd) = 3 / 5
Step-by-step explanation:
Total number = 3 + 2 = 5
Odd number = 3
The probability of odd number is = odd number / total numberP ( odd )= 3 / 5
The graph of this system of equations is which of the following?
-2x + y = 3
4x + 2y = 2
A. Overlapping lines
B. Parallel lines
C. Intersecting lines
D. A curve intersecting a line
Answer:
c
Step-by-step explanation:
i did the test
Franklin and Glennys are selling cases of chocolate bars for a school fundraiser. Franklin sells 5 cases and Glennys sells 8 cases. There are x bars of chocolate in each case. How many chocolate bars does Franklin sells?
Answer:
Franklin sold 5x bars.
Step-by-step explanation:
Franklin Sells 5x bars. I assume the question is asking for an expression with the usage of X instead of an actual value or when that is attainable. If there's any more information that you can provide, let me know and I'll redo the problem.
Expand. Your answer should be a polynomial in standard form.
8r^2(r^2-2)=
Answer:
8r^4 - 16r^2
2Step-by-step explanation:
8r^2(r^2-2)
Multiply everything inside the brackets by the term outside of it.
8r^4 - 16r^2
Marissa went to the store with $20 and returned home with $5.36. If she bought only 3 gallons of ice cream, what was the cost of each gallon of ice cream?
Answer: $4.88
Explanation: $20.00-$5.36= $14.64
$14.64÷3= $4.88
In a three-digit number, the hundreds digit is one half of the tens digit. The tens digit is
twice the one's digit. If the sum of the digits is eight, find the number.
Answer:
242
Step-by-step explanation:
Rule out anything above five from being the ones number as it wouldn't be possible to be doubled for the tens.
After that it is just trial and error putting 1,2,3,4 in the tens and following the word equation.
121 = doesn't equal 8
363= doesn't
484 = doesn't
thats leaves 242 which follows the pattern and equals 8
The nth term of a sequence is 20 – n?
a) Find the third term of the sequence.
b) Which term in the sequence
the first to have a negative value?
Answer:
a) 17
b) 21st term
Step-by-step explanation:
a) 20 - 3 = 17
b) 20 - 21 = -1
Question is in photo.
Thanks
The radius of a circle with area A is approximately $\sqrt{\frac{A}{3}}$ . The area of a circular mouse pad is 45 square inches. Estimate its radius to the nearest tenth.
Answer:
A = [tex]\pi[/tex][tex]r^{2}[/tex]
45 = [tex]\pi[/tex][tex]r^{2}[/tex]
45/[tex]\pi[/tex] = [tex]r^{2}[/tex]
14.3 = [tex]r^{2}[/tex]
r = 3.8
How many sides do 1 decagon, 3 heptagons, 3 nonagons, and 3 hexagons have in all?
Answer:
76
Step-by-step explanation:
decagon = 10 sides
3 heptagons = 3 × 7 = 21 sides
3 nonagons = 3 * 9 = 27 sides
3 hexagons = 3 * 6 = 18 sides
10 + 21 + 27 + 18 = 76 sides in total
hope this helps please like and mark as brainliest
The volume of 10 drops of liquid is 0.1 fluid ounces.
What is the volume of 10,000 drops
Answer:
10,000 drops would be 1 fluid ounce
Step-by-step explanation:
solve: 31 - 8(y+5) =7
Answer:
y = -2
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtraction Property of EqualityStep-by-step explanation:
Step 1: Define
Identify
31 - 8(y + 5) = 7
Step 2: Solve for y
[Subtraction Property of Equality] Subtract 31 on both sides: -8(y + 5) = -24[Division Property of Equality] Divide -8 on both sides: y + 5 = 3[Subtraction Property of Equality] Subtract 5 on both sides: y = -2X - 7 < 15
Please show work
Answer:
X-7<15
X-7+7<15+7
X<22
Answer:
x < 22
Step-by-step explanation:
x - 7 < 15
Adding 7 to both sides.
=> (x - 7 ) + 7 < 15 + 7
=> x - 7 + 7 < 22
=> x < 15+ 7
=> x< 22
Evaluate angles s and r, giving reason for your answer
Answer:
r=42 degrees
This is because of vertically opposite angles
s=68
This is because 180( angles in a triangle) minus ( 70 + 42) is equal to 68 degrees
Answer:
r = 42° , s = 68°
Step-by-step explanation:
r and 42° are vertical angles and are congruent , then
r = 42°
The sum of the 3 angles in a triangle = 180° , then
s = 180° - (70 + 42)° = 180° - 112° = 68°
Which graph shows the solution to the system of linear inequalities?
y > Two-thirdsx + 3
y ≤ Negative one-thirdx + 2
Answer:
b
Step-by-step explanation:
We want to get the graph for the given system of linear inequalities. The graph can be seen at the end of the answer.
How to graph a system of inequalities?
First, we have the system:
y > (2/3)*x + 3
y ≤ -(1/3)*x + 2
Let's analyze each one individually.
In the first one, you can see that y is larger than the line, so we need to shade the region above the line, and the line must be a dashed line, meaning that the points on the line are not solutions.
In the second one, y is smaller than or equal to the line, so we need to shade the region below the line, and this time the line must be a solid line because the points on the line are solutions.
The graph of the system of inequalities can be seen below.
If you want to learn more about inequalities, you can read:
https://brainly.com/question/11234618
tính đạo hàm của y=2x-1-căn3x-0
Answer:
The derivative is
[tex]\frac{dy}{dx} = 2 - \frac{2\sqrt3}{\sqrt x}\\[/tex]
Step-by-step explanation:
The function is given by
[tex]y = 2x - 1 - \sqrt {3x}[/tex]
Differentiate with respect to x, we get
[tex]\frac{dy}{dx} = 2 - 0 - \frac{2\sqrt3}{\sqrt x}\\\\\frac{dy}{dx} = 2 - \frac{2\sqrt3}{\sqrt x}\\[/tex]
Let R be the region bound by the equations y = 2 + cos(x) and y = csc(x) in the first quadrant on theinterval 0 ≤ x < π.
b) Write, but do not solve, an equation involving integral expressions whose solution is the volume of the solid generated when R is revolved around the x-axis.
c) Write, but do not solve, an equation involving integral expressions whose solution is the volume of the solid generated when R is revolved around the line x = –1.
Answer:
b.
[tex]V = \pi \cdot \int\limits^a_b {\left([f(x)]^2 - [g(x)]^2} \right) \, dx[/tex]
(c)
[tex]V = \pi \cdot \int\limits^3_1 {\left([arcos(y - 2)]^2 - [arcsine(x)]^2 - (-1)^2} \right) \, dx[/tex]
Step-by-step explanation:
b. The volume of solid formed is given by the washers formula as follows;
[tex]V = \pi \cdot \int\limits^a_b {\left([f(x)]^2 - [g(x)]^2} \right) \, dx[/tex]
Therefore, we have, the integral expression whose solution is the volume formed by rotating 'R', about the equations y = 2 + cos(x) and y = csc(x) in the first quadrant on the interval, 0 ≤ x ≤ π, V is given as follows;
[tex]V = \pi \cdot \int\limits^\pi_0 {\left([2 + cox(x)]^2 - [csc(x)]^2} \right) \, dx[/tex]
(c) We have;
x = arcos(y - 2), x = arcsin(1/y)
At x = 0, y = 2 + cos(0) = 3
csc(0) = ∞
At x = π, y = 2 + cos(π) = 2 + -1 = 1
csc(π) = ∞
Therefore, we get;
[tex]V = \pi \cdot \int\limits^3_1 {\left([arcos(y - 2)]^2 - [arcsine(x)]^2 - (-1)^2} \right) \, dx[/tex]
B) An equation that involves integral expressions whose solution is the volume of the solid generated when R is revolved around the x-axis is;
[tex]V = \pi \int\limits^\pi _0 ({[2 + cos(x)]^{2} - [csc(x)]^{2}}) \, dx[/tex]
C) An equation involving integral expressions whose solution is the volume of the solid generated when R is revolved around the line x= -1 is;
[tex]V = \pi \int\limits^\pi _0 ({[cos^{-1} (y - 2)]^{2} - [sin^{-1}(x)]^{2} - (-1)^{2} }) \, dx[/tex]
How to find the integral volume of solid?
B) The volume of solid formed is gotten from applying the washers formula;
[tex]V = \pi \int\limits^a_b ({[f(x)]^{2} - [g(x)]^{2}}) \, dx[/tex]
This means that the integral expression whose solution is the volume formed by rotating R about the equations y = 2 + cos(x) and y = csc(x) in the first quadrant on the interval, 0 ≤ x ≤ π, V is expressed as;
[tex]V = \pi \int\limits^\pi _0 ({[2 + cos(x)]^{2} - [csc(x)]^{2}}) \, dx[/tex]
C) From answer above, we have;
x = cos⁻¹(y - 2), x = sin⁻¹(1/y)
Now,
At x = 0; y = 2 + cos(0) = 3
csc(0) = 1/0 = ∞
Also,
At x = π; y = 2 + cos(π)
y = 2 + (-1)
y = 1
Also, csc(π) = ∞
Thus, we have;
[tex]V = \pi \int\limits^\pi _0 ({[cos^{-1} (y - 2)]^{2} - [sin^{-1}(x)]^{2} - (-1)^{2} }) \, dx[/tex]
Read more about finding the integral volume of solid at; https://brainly.com/question/21036176
if A={2,3,5,7,9,10} B={2,10,12,13} then a-b is
A = {2,3,5,7,9,10}
B = {2,10,12,13}
A-B = ?
Now,
A-B = {2,3,5,7,9,10} - {2,10,12,13}
= {3,5,7,9}
I hope you understand...
Mark me as brainliest...
Need help now I have 3 min asapppppp
Answer:
Step-by-step explanation:
a:0
B:1
C:-1
Trigonometry help me
Answer:
[tex]\theta = \frac{\pi}{6}[/tex]
Step-by-step explanation:
[tex]tan^ 2 \theta - ( \sqrt 3 + \frac{1}{\sqrt3}}) tan \theta + 1 = 0\\\\tan \theta - ( \sqrt 3 + \frac{1}{\sqrt3}}) +\frac{1}{ tan \theta } = 0\\\\[/tex] [tex][ \ divide \ by \ tan \theta \ on \ both \ sides \ ][/tex]
[tex]tan\theta + \frac{1}{ tan \theta }- ( \sqrt 3 + \frac{1}{\sqrt3}}) = 0\\\\\frac{tan^2 \theta + 1}{ tan \theta } - ( \sqrt 3 + \frac{1}{\sqrt3}}) = 0\\\\\frac{sec ^2 \theta}{ \frac{sin \theta }{cos \theta}} - ( \sqrt 3 + \frac{1}{\sqrt3}}) = 0[/tex] [tex][ \tan ^ 2\theta + 1 = sec ^2 \theta \ , \ tan \theta = \frac{sin \theta }{cos \theta } \ ][/tex]
[tex]\frac{sec^2 \theta }{sin \theta \times sec \theta } - ( \sqrt 3 + \frac{1}{\sqrt3}}) = 0\\\\[/tex] [tex][\ \frac{sin \theta }{cos \theta } = sin \theta \times sec \theta \ ][/tex]
[tex]\frac{sec \theta }{sin \theta } - ( \sqrt 3 + \frac{1}{\sqrt3}}) = 0\\\\[/tex]
[tex]sec \theta \ cosec \theta - ( \sqrt 3 + \frac{1}{\sqrt3}}) = 0\\\\[/tex] [tex][ \ \frac{1}{sin \theta } = cosec \theta \ , \ \frac{ sec \theta }{sin \theta } = sec \theta cosec \theta \ ][/tex]
[tex]sec \theta \ cosec \theta - \sqrt 3 - \frac{1}{\sqrt3}} = 0\\\\\frac{\sqrt 3\ sec \theta \ cosec \theta - 3 - 1}{\sqrt3} = 0\\\\\sqrt 3 sec \theta cosec \theta - 4 = 0\\\\[/tex]
[tex]\sqrt3 \frac{1}{cos \theta } \frac{1}{sin \theta } - 4 = 0\\\\\frac{\sqrt3 - 4sin \theta cos \theta} { sin \theta cos \theta } = 0[/tex]
[tex]\sqrt 3 - 2sin 2\theta = 0[/tex] [tex][ \ sin 2 \theta = 2 sin \theta cos \theta \ ][/tex]
[tex]2sin 2 \theta = \sqrt3\\\\sin 2 \theta = \frac{\sqrt3 }{2} \\\\2 \theta = sin^{-1} (\frac{\sqrt3}{2})\\\\2 \theta = 60^{ \circ} = \frac{ \pi}{3}\\\\\theta = \frac{\pi} {6}[/tex]
Using the following image, complete the statement below. I got all the answers I need the ones that is blank
Answer:
DE is congruent to BE , ED is congruent is EB and the last one is midpoint.
Step-by-step explanation:
Compute the missing data in the table for the following exponential function f (x) = (one-fourth) Superscript x.
Answer:
[tex] F(4) = \frac {1}{256} [/tex]
Step-by-step explanation:
Given the following mathematical function;
[tex] F(x) = \frac {1}{4^{x}} [/tex]
When x = 1
[tex] F(1) = \frac {1}{4^{1}} [/tex]
[tex] F(1) = \frac {1}{4} [/tex]
When x = 2
[tex] F(2) = \frac {1}{4^{2}} [/tex]
[tex] F(2) = \frac {1}{4*4} [/tex]
[tex] F(2) = \frac {1}{16} [/tex]
When x = 3
[tex] F(3) = \frac {1}{4^{3}} [/tex]
[tex] F(3) = \frac {1}{4*4*4} [/tex]
[tex] F(3) = \frac {1}{4*4*4} [/tex]
When x = 4
[tex] F(4) = \frac {1}{4^{4}} [/tex]
[tex] F(4) = \frac {1}{4*4*4*4} [/tex]
[tex] F(4) = \frac {1}{256} [/tex]
When x = 5
[tex] F(5) = \frac {1}{4^{5}} [/tex]
[tex] F(5) = \frac {1}{4*4*4*4*4} [/tex]
[tex] F(5) = \frac {1}{1024} [/tex]
a retailer bought a bag for $80 and sold it for $120 calculate the percentage profit
Answer:
50%
Step-by-step explanation:
Take the final amount and subtract the original amount
120-80 = 40
Divide by the original amount
40/80 = .5
Multiply by 100
.5 *100 = 50%
Step-by-step explanation:
Profit=Selling Price- Cost Price
=$120-$80
=$40
Profit Percentage= Profit×100/Cost Price
= 40×100/80
=100/2= 50%
hope it helps
if you apply the changes below to the linear parent, f(X)=x, what is the equation of the new function vertically stretch by multiplying by 3. flip over the x-axis
Answer:
f(x) = -3x
Step-by-step explanation:
f(x) = -3x
Hiiioo! Can someone please help with this! Thank you❤️❤️
Answer:
(-2,4) radius = 2
Step-by-step explanation:
[tex](x-h)^{2} +(y-k)^{2} = r^{2}[/tex]
(h,k) point r is the radius
12-2²·2=?
Brainliest
Answer:
it would be 4
12-4×2=12-8=4
Step-by-step explanation:
hope it helps you
[tex]\longrightarrow{\green{ 4 }}[/tex]
[tex]\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\red{:}}}}}[/tex]
➺ [tex] \: 12 - {2}^{2} .2[/tex]
➺ [tex] \: 12 - (2 \times 2 \times 2)[/tex]
➺ [tex] \: 12 - 8[/tex]
➺ [tex] \: 4[/tex]
[tex]\large\mathfrak{{\pmb{\underline{\orange{Mystique35 }}{\orange{❦}}}}}[/tex]
Explain how to convert measurements in the metric system
Answer:
You can use similar processes when converting from smaller to larger units. When converting a larger unit to a smaller one, you multiply; when you convert a smaller unit to a larger one, you divide.
Example look at the pic please 7,225 cm = ___ m
Meters are larger than centimeters, so you expect your answer to be less than 7,225.
Using the factor label method, write 7,225 cm as a fraction and use unit fractions to convert it to m.
Cancel similar units, multiply, and simplify.
7,225 centimeters = meters
Answer:
Sample Response: If you move from smaller to larger units, divide by a power of 10 or move the decimal to the left. If you move from larger to smaller units, multiply by a power of 10 or move the decimal to the right.
How do you calculate angles on a straight line??
Answer:
Step-by-step explanation:
Straight line is an angle whose vertex point(O) has a value of 180. The arms (OA & OB) of the straight line angle lies opposite to each other from the vertex point
Sum of all the angles in a straight line = 180
From this you can find the value of unknown angle, if other angles are given.
∠AOC + ∠BOC = 180
Answer:
Answer:
x + y =180 (degrees)
In ΔBCD, the measure of ∠D=90°, BD = 13, DC = 84, and CB = 85. What is the value of the cosine of ∠C to the nearest hundredth?
Answer: 0.99
Step-by-step explanation: sin 90 Divided by 85 = sin x divided by 13
sin x =13x sin 90 divided by 85
sin x = 13divided by 85
sin x = .152941176
arc sine of .152941176= 8.79741071 degrees
cos 8.79741071 = .988235294
.99
2 lines intersect. A line with points R, S, U intersects a line with points V, S, T at point S.
In the diagram, which angles form a linear pair? Select three options.
AngleRST and AngleRSV
AngleRST and AngleTSU
AngleRST and AngleVSU
AngleTSU and AngleUSV
AngleTSU and AngleRSV
Answer:
AngleRST and AngleRSV
Step-by-step explanation:
You first draw the diagram with statement given
Answer:
a) RTS & RSV b) RST & TSU d) TSU & USV
Step-by-step explanation: