Answer:
The lines are parallel
Step-by-step explanation:
x - y = 2
Solving for y
-y = -x+2
y = x -2
And the other equation is
y = x+1
These are both in slope intercept form
We notice that the slopes are both 1, but the y intercepts are different
That means the lines are parallel, but have different y intercepts
The volume of the cylinder is 230 cubic units. What is the volume of the
cone? Round to the nearest enth if necessary.
Answer:
Step-by-step explanation:
The formula for determining the volume of a cylinder is expressed as
Volume = πr²h
Where
r represents the radius of the cylinder
h represents the height of the cylinder
π is a constant
The formula for determining the volume of a cone is expressed as
Volume = 1/3πr²h
Where
r represents the radius of the cone
h represents the height of the cone
This means that the volume of the cone is 1/3 × volume of cylinder. Since the volume of the given cylinder is 230 cubic units, then
Volume of cone = 1/3 × 230 = 76.7 cubic units
3p+5+4p-2 what is the answer
Answer:
7p + 3
Step-by-step explanation:
3p+5+4p-2
Rearrange the terms.
3p + 4p + 5 - 2
Add or subtract like terms.
(3+4)p + 3
(7)p +3
What is the units digit of $7^7$ when expressed as an integer?
Answer:
3
Step-by-step explanation:
Answer:
3
Step-by-step explanation:
Just stick it into a calculator lol
m 1 = a) 40 b) 130 c) 50
Answer:
A) 40
Step-by-step explanation:
The angle adjacent 40 is complementary to it, meaning that it must have a measure of 90-40=50 degrees. This angle is a vertical angle with the one inside the triangle, meaning that it also has an angle of 50 degrees. Now that you know two of the angles in the triangle and you know that all of the interior angles of a triangle add up to 180 degrees, you can find angle 1:
[tex]\angle 1=180-90-50=40^{\circ}[/tex]
Hope this helps!
Answer:
<1 = 40
Step-by-step explanation:
Corresponding angles are equal and <1 and 40 are corresponding angles on parallel lines
On Monday the price of a company’s stock is $30 per share. On Tuesday, the stock price drops $3, on Wednesday it rises $7, on Thursday it rises $3, and on Friday it drops $4. Write a mathematical statement that represents the situation and determine the price at the end of the week.
Answer:
The price at the end of the week is $33.
Step-by-step explanation:
We are given that on Monday the price of a company’s stock is $30 per share. On Tuesday, the stock price drops $3, on Wednesday it rises $7, on Thursday it rises $3, and on Friday it drops $4.
The price of a company’s stock on Monday = $30 per share
So, the mathematical statement that represents the situation is given by;
Price of company’s stock on Monday = $30
On Tuesday, the stock price drops $3, so the price of company’s stock on Tuesday = Price of company’s stock on Monday - Drop in price on Tuesday
= $30 - $3 = $27
On Wednesday, the stock price rises $7, so the price of company’s stock on Wednesday = Price of company’s stock on Tuesday + Rise in price on Wednesday
= $27 + $7 = $34
On Thursday, the stock price rises $3, so the price of company’s stock on Thursday = Price of company’s stock on Wednesday + Rise in price on Thursday
= $34 + $3 = $37
On Friday, the stock price drops $4, so the price of company’s stock on Friday = Price of company’s stock on Thursday - Drop in price on Friday
= $37 - $4 = $33
Hence, the price at the end of the week is $33.
Consider the polynomial function P(x) = 2x^3 - mx^2 + x - 5m. The remainder when P(x) is divided
by (x - 2) is four times the remainder from dividing P(x) by (x + 1). Determine m algebraically
and show all your work.
Answer:
m = 57/14 = [tex]4\frac{1}{14}[/tex]
Step-by-step explanation:
The polynomial can be expressed as follows;
P(x) = 2·x³ - m·x² + x - 5·m
(2·x³ - m·x² + x - 5·m) ÷ (x - 2)
2·x²
(-m - 2)·x² + x
(-m - 2)·x
(m + 3)·x - 5·m
(m + 3)·x
-5·m
The remainder = -5·m/(x -2)
Similarly, dividing by (x + 1) will give a remainder of -5·m/(x + 1)
But -5·m/(x -2) = 4×-5·m/(x + 1)
5/(x -2) = 20/(x + 1)
5(x + 1) = 20(x -2)
20x - 5x= 40 + 5
x = 45/15 = 3
2·3³ - m·3² + 3 - 5·m = 54 - 9m + 3 - 5m = 57 - 14m
(57 - 14m)/1 = (57 - 14m)/4
228 - 56m =57 - 14m
171 = 56m-14m = 42m
m = 171/42 = 57/14.
Which symbol would make the statement TRUE?
-3/4
-0.75
A. <
B. >
C. =
D. none of the above
Answer: C
Step-by-step explanation: -3/4 is equal to -.75 ,
The sequence of the differences, 2, 4, 8, 16, 32, … is a geometric sequence with:
Answer:
The first term as 2.
Pattern: Multiply the previous term and 2 to get the next term.
Step-by-step explanation:
The pattern is every term is 2× the previous term.
The sequence of the differences, 2, 4, 8, 16, 32, … is geometric. The pattern is every term is 2 times the previous term.
What is geometric series?The geometric series is a series in which the ratio of two consecutive numbers is constant.
The sequence of the differences, 2, 4, 8, 16, 32, … is geometric.
So, The ratio of two consecutive numbers is constant.
r = 4/2 = 2
r = 8/4 = 2
Thus, The pattern is every term is 2 times the previous term.
Learn more about geometric series;
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Given that ABCD is a rhombus, find the value of x.
Answer:
C
Step-by-step explanation:
The diagonals of a rhombus are perpendicular bisectors of each other.
Thus the angle at the intersection of the diagonals is 90°
The sum of the 3 angles in a triangle = 180°
Sum the angles in the lower triangle and equate to 180, that is
90 + x + x + 40 = 180
2x + 130 = 180 ( subtract 130 from both sides )
2x = 50 ( divide both sides by 2 )
x = 25 → C
The value of x is 25.
What are some of the properties of a rhombus?
All four sides are equal.Diagonals bisect each other at 90°.Given
ABCD is a rhombus,
∠CAD = x°,
∠BDA = (x + 40)°.
Find the equation in x
Let the point where the diagonals intersect be E.
Then, using the property of the rhombus ∠AED = 90°.
We know, in a triangle that the sum of all the three interior angles equals 180°. So, we get,
∠AED + ∠BDA + ∠CAD = 180°
⇒ ∠BDA + ∠CAD = 180° - ∠AED
= 180° - 90° = 90° (∠AED = 90°)
Put the given values of these angles,
(x + 40)° + x° = 90°.
This is the equation to be solved to obtain x.
Solve for x
(x + 40)° + x° = 90°
⇒ (2x)° = 90° - 40° = 50°
⇒ x° = (50 / 2)°
⇒ x = 25.
The required value of x is 25.
Learn more about the properties of a rhombus here
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can i have help thanks
Answer:
∠ BOC = 42°
Step-by-step explanation:
Since OA and OC are perpendicular , that is at 90° to each other, then
∠ AOB + ∠ BOC = 90 , substitute values
5x + 8 + 6x - 6 = 90
11x + 2 = 90 ( subtract 2 from both sides )
11x = 88 ( divide both sides by 11 )
x = 8
Thus
∠ BOC = 6x - 6 = 6(8) - 6 = 48 - 6 = 42°
Is the following statement true or false? The intersection of a plane and a ray can be a line segment.
Answer:
False
Step-by-step explanation:
Is the following statement true or false?
The intersection of a plane and a ray can be a line segment.
It is false. Correct one is the point.what are the y-intercept and axis of symmetry of this quadratic function??
Answer: The answer is B I believe
Step-by-step explanation:
Answer:
y-intercept : (0,5), D
axis of symmetry : x = 3, E
straight line graphs: find the equation of the lines shown
Answer:
1. y = -2n + 9
2. y = (1/2)x + 1/2
Step-by-step explanation:
1.
The equation of a line is denoted by y = mx + b, where m is the slope and b is the y-intercept.
Slope is calculated by taking two coordinates and dividing the difference of the y-coordinates by the difference of the x-coordinates. The y-intercept is where the line intersects the y-axis.
Let's choose any two points on the line: (4, 1) and (3, 3). Then:
slope = m = (3 - 1) / (3 - 4) = 2 / (-1) = -2
Now, we can also see that at the point (0, 9), the line intersects the y-axis, so that means b = 9.
The equation is thus y = -2n + 9.
2.
Let's again choose any two points to find the slope: (1, 1) and (3, 2). Then:
slope = m = (2 - 1) / (3 - 1) = 1/2
We can see that the line crosses the y-axis at the point (0, 1/2), so that means b = 1/2.
The equation is thus y = (1/2)x + 1/2.
~ an aesthetics lover
Answer:
1. y = -2x + 9
2. y = (1/2)x + 1/2
Step-by-step explanation:
There was a mistake on the last one so I would like to correct it it is
y= -2x+9
The other one said -2n its -2x
which represents the equation of the line?
Answer:
D: y= -2x -1
Step-by-step explanation:
The line crosses the y axis at -1 and using the "rise over run" phrase you can tell that the next point is 2 up and 1 over (2/1 =2) the line is also negative because it moves down from left to right. Therefore, y= -2 -1
Please answer asap thanks
Answer:
V = 200 pi units ^3
Step-by-step explanation:
The volume of a cone is given by
V = 1/3 pi r^2 h
V = 1/3 pi ( 10 ^2) (6)
V = 1/3 pi (100) *6
V = 200 pi
6 - + 5y - 2y help me answer this question please
Answer:
Step-by-step explanation:
6 - 5y - 2y
= 6 - 7y
hope this helps
plz mark it as brainliest!!!!!!!
Answer:
[tex]5x+3y[/tex]
Step-by-step explanation:
[tex]6x-x+5y-2y[/tex]
The coefficient of -x is -1.
[tex]6x-1x+5y-2y[/tex]
Factor the variables.
[tex]x(6-1)+y(5-2)[/tex]
Subtract the numbers.
[tex]x(5)+y(3)[/tex]
[tex]5x+3y[/tex]
The answer is 5x+3y.
if 15% of a number is 100, find 4% of the number
Answer:
26.6667
Step-by-step explanation:
.15x=100
Divide each side by .15.
x=666.6667
.04(666.6667)=26.6667
Answer:
26(approx.)
Step-by-step explanation:
15/100 times x = 100
3/20 times x = 100
3x/20 = 100
3x = 2000
X= 666 2/3
So,
4/100 x 666.67
1/25 x 666.67 = 26
Decrease £248 by 30%
Answer:
173.6
Step-by-step explanation:
0.7(248)
173.6
Answer:
£ 173.6
Step-by-step explanation:
£248 *0.30= 74.4
£248 -74.4 =173.6
HOW DO U COMBINE LIKE TERMS in math?? DO NOT LOOK IT UP :) THX
Answer:
See below
Step-by-step explanation:
"Like terms" are terms with the same variable or exponents.
You can add or subtract these just like you would with regular numbers.
Examples:
2x + 4x = 6x
5xy + 7xy = 12xy
6[tex]x^{2}[/tex] + 5[tex]x^{2}[/tex] = 11[tex]x^{2}[/tex]
Let me know if you need more examples or have any questions :)
please help me whats the answer for jim has 100 cards there is a whole number from 1 to 100 on each card no cards have the same number jim puts a star on every card has a multiple of 3 on it he puts a circle on every card that has a multiple of 7 on it what number are on the cards that have both a star and a circle on them the final line on your answer must list only these numbers
Answer:
4
Step-by-step explanation:
Multiples of 7 and 3 are 21, 42, 63, 84
Hope this helps.
Answer:
21, 42, 63, 84
Step-by-step explanation:
Cards with both star and circle are multiples of both 3 and 7, ie 3*7= 21
21, 21*2= 42, 21*3= 63, 21*4= 84
So 21, 42, 63 and 84 are the required numbers
What is the value of x when y=31
Answer:16
Step-by-step explanation:
32/16=2
8*2=16
Hope that helps :D
Answer:
16
Step-by-step explanation:
Direct variation
y = kx
16 = k*8
Divide each side by 8
16/8 = 8k/8
2 = k
The equation is y =2x
y =2x
Let y =32
32 = 2x
Divide by 2
32/2 = x
16 =x
th
Write an explicit formula for An, the nth
term of the sequence 15, 23, 31, ....
Answer:
a₁ = 15 and common difference = 8 so the formula is:
aₙ = 15 + (n - 1) * 8
= 8n + 7
HELP ASAP What is the explicit formula for this sequence 5,2,-1,-4
Answer:
For an nth term U(n) = a + (n - 1)d
n = number of terms
a = first term
d = common difference
a = 5
d = 2 - 5 = - 3
U(n) = 5 + (n -1)-3
= 5 - 3n + 3
= 8 - 3n
The formula for the sequence is 8 - 3n
Hope this helps
apply the distributive property to factor out the greatest common factor for 9+12n I need an expression too
Answer:
3(3+4n)
Step-by-step explanation:
Elijah uses 2 pints of stain on each table that he makes . How many tables can he paint with 1 gallon of stain ? sets
Answer:
4 sets
Step-by-step explanation:
1 gallon contains 8 pints. It takes 2 pints per table, so we should divide 8 by 2.
By doing this, we get 4, therefore he can stain 4 sets of tables with a gallon of stain.
Mr. Bloop can high jump 5.75 feet. How far short is that of Charles Austin's record of 7 ft 10 in?
Answer:
5.75 feet is the same as 5 ft 9 inches (because 12 in = 1 ft and 0.75 * 12 = 9 so its 9 in). 7 ft 10 in - 5 ft 9 in = 2 ft 1 in.
8(4-x)=7x+2 solve for X
Answer: x= 2
Step-by-step explanation:
(8 X 4)+[8 X (-x)]= 7x+2
32- 8x = 7x+2
-8x-7x =2-32
-15x = -30
x= 2
Answer:
x=2
Step-by-step explanation:
[tex]8(4-x)=7x+2[/tex] Original equation
[tex]32-8x=7x+2[/tex] Distributive property on left
[tex]30=15x[/tex] Combine like terms and isolate the variable (x)
[tex]2=x[/tex] Divide both sides by 15 (Division Property of Equality)
2x + 3y = 13
4x - y = -2
Answer:
x=1/2. y=4
Step-by-step explanation:
4(2x+3y=13)=8x+12y=52
2(4x-y=-2)=8x-2y=-4
subtract equation one from equation two to get
14y=56 then u will divide bothe sides by 14. for x u substitute y in equation one
Answer:
x = 1/2 y = 4
Step-by-step explanation:
Equation 1
2x + 3y = 13
Equation 2
4x - y = -2
Multiply equation 2 by 3
12x - 3y = -6
Add equation 1 to 3
14x = 7
x = 7/14
x = 1/2
Substitute x into equation 1
2(1/2) + 3y = 13
3y = 13 -1
3y = 12
y= 12/3
y = 4
x =1/2 y = 4
Hope this helps.
What is one value that makes the fraction (4x-8)/(x^2+x-42) undefined? Plz help me I'll mark brainliest! And plz explain how you did it plz ty!
Answer:
x = 6
Step-by-step explanation:
To make a fraction undefined, the denominator would have to be equivalent to zero. If that is so, x^2 + x - 42 would have to equal 0, and we would have to solve for the value of x;
[tex]x^2 + x - 42 = 0,\\Factored Equation = \left(x-6\right)\left(x+7\right),\\\left(x-6\right)\left(x+7\right) = 0,\\\\Zero Factor Principle, \\x - 6 = 0, and, x + 7 = 0\\\\x = 6, x = - 7\\\\Solution = Either, 6 / - 7[/tex]
We can take x to be either 6 or - 7, but as the question asks us to state only one value, I will take x = 6.
Anybody know this ? Please help :(
Answer:
D
Step-by-step explanation:
5.50. 5.50+0.25= 5.75, 5.75+0.25= 6.00, 6.00+0.25= 6.25, 6.25+0.25= 6.50
Option D is the answer:
5.50, 5.75, 6.00, 6.25, 6.50...