find the slope and y intercept of y = -2x -18
Answer:
Slope = -2
y-intercept = -18
Step-by-step explanation:
In y=mx+b, m is the slope and b is the y-intercept. With that being said, this will mean that -2 is the slope and -18 is the y-intercept.
Hope this helps you :)
A bag of garden soil weighs 42 pounds and holds 2 cubic feet. Find the weight of 15 bags in kilograms and the (((volume of 15 bags in cubic yards.)))
Answer:
he weight of 15 bags of garden soil in kilograms is 285.75 kilograms, and the volume of 15 bags in cubic yards is 1.111 cubic yards.
Step-by-step explanation:
To find the weight of 15 bags in kilograms, we can first convert the weight of one bag from pounds to kilograms and then multiply by the number of bags:
1 pound = 0.453592 kilograms
So the weight of one bag in kilograms is:
42 pounds * 0.453592 kilograms/pound = 19.05 kilograms
The weight of 15 bags in kilograms is:
15 bags * 19.05 kilograms/bag = 285.75 kilograms
To find the volume of 15 bags in cubic yards, we can first convert the volume of one bag from cubic feet to cubic yards and then multiply by the number of bags:
1 cubic yard = 27 cubic feet
So the volume of one bag in cubic yards is:
2 cubic feet / 27 cubic feet/cubic yard = 2 / 27 = 0.07407 cubic yards
The volume of 15 bags in cubic yards is:
15 bags * 0.07407 cubic yards/bag = 1.111 cubic yards
Therefore, the weight of 15 bags of garden soil in kilograms is 285.75 kilograms, and the volume of 15 bags in cubic yards is 1.111 cubic yards.
Mary's Diner offers its clients a choice of regular and diet soda. Last night, the diner served 80 sodas in all, 10% of which were regular. How many regular sodas did the diner serve?
Answer:
8
Step-by-step explanation:
multiply 80 by 0.10 to get 8
Find the surface area of a cylinder with a height of 9 ft and diameter of 4
Answer:50.2654812288
Step-by-step explanation:
The two circles :
Sa = πr²
= π x 2²
= 12.5663706144
= 12.5663706144 x 2
= 25.1327412288
The rectangle :
C x h = 2πr
= 25.13274
= 25.13274 + 25.1327412288
= 50.2654812288
Step-by-step explanation:
50.2654858683848
because it is equivalent to this. Also I can tutor you
48 - 2C = 88 solve for C
Answer:
c = -20
Step-by-step explanation:
Isolate the variable, c. Note the equal sign, what you do to one side, you do to the other. Do the opposite of PEMDAS.
PEMDAS is the order of operation, and stands for:
Parenthesis
Exponents (& Roots)
Multiplication
Division
Addition
Subtraction
~
First, subtract 48 from both sides of the equation:
-2c + 48 = 88
-2c + 48 (-48) = 88 (-48)
-2c = 88 - 48
-2c = 40
Next, divide -2 from both sides of the equation:
(-2c)/-2 = (40)/-2
c = 40/(-2) = -20
c = -20 is your answer.
~
Which is the equation of Line d? y=−13x−3 y=3x+3 y=−3x−3 y=13x+3
Answer:
y = 3x + 3 ( y = ax + b )
slope (a) = 3 and b = 3
simplify 4x to the power of 3 to power of 5
The simplified form of the given expression is 1073741824x¹⁵.
What is the exponent?Exponent is defined as the method of expressing large numbers in terms of powers. That means, exponent refers to how many times a number multiplied by itself.
The given expression is ((4x)³)⁵
= (4x)¹⁵
= 1073741824x¹⁵
Therefore, the simplified form of the given expression is 1073741824x¹⁵.
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HELP PLS <3 I’m trying to answer this but I don’t understand what goes where pls help !
I need help asappppppp
Answer:150?
Step-by-step explanation:
oe has a cube shaped box that needs to be filled with package materials. if the length of one side is 2 feet, then what is the volume of the box
Step-by-step explanation:
use length x width x height
What is the present value of R13 000 p.a. invested at the beginning of each year for 8years at 10%p.a. compound interest? (NB Use the compound interest tables provided or work to three decimal places only.)
Given statement solution is :- The present value of R13,000 per year invested for 8 years at 10% compound interest is approximately R69,776.60.
To calculate the present value of an investment with compound interest, we can use the formula for the present value of an annuity:
PV = A *\((1 - (1 + r)^(-n)) / r\)
Where:
PV = Present value
A = Annual payment or cash flow
r = Interest rate per period
n = Number of periods
In this case, the annual payment (A) is R13,000, the interest rate (r) is 10% per year, and the investment is made for 8 years (n).
Using the formula and substituting the given values, we can calculate the present value:
PV = \(13000 * (1 - (1 + 0.10)^(-8)) / 0.10\)
Calculating this expression:
PV = \(13000 * (1 - 1.10^(-8)) / 0.10\)
= 13000 * (1 - 0.46318) / 0.10
= 13000 * 0.53682 / 0.10
= 6977.66 / 0.10
= 69776.6
Therefore, the present value of R13,000 per year invested for 8 years at 10% compound interest is approximately R69,776.60.
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Each big square below represents one whole.
What percent is represented by the shaded area?
Stuck? Watch a video or use a hint
7 of 7
Answer:
119% i think
Step-by-step explanation:
there are two squares
one is completely filled so its 100% shaded
the other has 19 mini squares filled so it's 19%
add those and you get 119%
One option in a roulette game is to bet 11on red. (There are 18 red compartments, 18 black compartments, and two compartments that are neither red nor black.) If the ball lands on red, you get to keep the 11 you paid to play the game and you are awarded 11. If the ball lands elsewhere, you are awarded nothing and the 11 that you bet is collected. Complete parts (a) through (b) below.
The expected value for playing roulette if a person bet $16 on red is -$0.84.
b. The statement that best describes what this value means is option b. Over the long run, the player can expect to lose about $1.05 for each game played.
What is the expected value?To be able to calculate the expected value, you need to multiply the probability of winning by the amount won hence it will be:
Expected value = (18/38) x $16 - (20/38) x $16
= -$0.84
Based on the fact that the expected value has a negative sign, it implies that, on average, the player tend to lose money over the long run.
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See full question below
one option in a roulette game is to bet $16 on red. (there are 18 red compartments, 18 compartments, and two compartments that are neither red nor black) if the ball lands on red, you get to keep the $16 you paid to play the game and you are awarded $16. If the ball lands elsewhere, you are awarded nothing and the $16 that you bet is collected.
a. what is the expected value for playing roulette if you bet $16 on red?
$__________ (round to the nearest cent)
b. chosen the statment below that best describes what this value means???
Pick One!
a. over the long run, the player can expect to win about $1.05 for each game played
b. over the long run, the player can expect to lost about $1.05 for each game player
c. over the lung run, the player can expect to break even
rogress bar may be uneven because questions can be worth more or less (including zero) depending on your
Which of the following equations has the solution x = all real numbers?
O. 5(3x) + 6x = 3x + 15 + 2x
5(3x).+ 7x = 3x + 15 - x
5(3x) + 7x = 3x + 10 - x
5(3x) + 7x = x + 15 - 3x
The equations that has the solution x = all real numbers is 5(3x)+ 7x = 3x + 15 - x and 5(3x) + 7x = 3x + 10 - x,
What is meant equation?Algebraically speaking, an equation is a statement that shows the equality of two mathematical expressions. For instance, the two equations 3x + 5 and 14, which are separated by the 'equal' sign, make up the equation 3x + 5 = 14.
A formula that expresses the connection between two expressions on each side of a sign. Typically, it has a single variable and an equal sign.
Here given equations,
5(3x) + 6x = 3x + 15 + 2x
15x + 6x = 3x + 15 + 2x
15 x + 6x - 3x -2x = 15
16 x = 15
x = 15/16
5(3x).+ 7x = 3x + 15 - x
15 x + 7x = 3x + 15 - x
15 x + 7x - 3x + x = 15
22x - 3x + x = 15
20 x = 15
x = 15/20
x = 3/4
5(3x) + 7x = 3x + 10 - x
15x + 7x - 3x + x = 10
20x = 10
x = 10/20
x = 1/2
5(3x) + 7x = x + 15 - 3x
15x +7x - x + 3x = 15
24x = 15
x = 15/24
x = 5/8
Therefore the equations that has the solution x = all real numbers are :
5(3x).+ 7x = 3x + 15 - x and 5(3x) + 7x = 3x + 10 - x .
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Hey does anyone please can help me with this
Answer:
Step-by-step explanation:
Solve the function presented on the image
Therefore, (f o h) (x) = 32 - 10x as an expression in terms of x.
What is cube root?The cube root of a number is a value that, when multiplied by itself three times, gives the original number. In other words, the cube root of a number is the value that, when cubed (raised to the power of three), gives the original number.
For example, the cube root of 27 is 3, because 3 x 3 x 3 = 27. Similarly, the cube root of 64 is 4, because 4 x 4 x 4 = 64.
The symbol for cube root is ∛. So, \(\sqrt[3]{27}\)= 3 and \(\sqrt[3]{64}\) = 4.
by the question.
To find (foh)(x), we need to substitute H(x) into f(x) in place of x:
\((f o H) (x) = f(H(x)) = 2(H(x))^2 + 8\)
Substituting H(x) into the expression for H(x), we get:
\((f o H)(x) = 2(cube root 12-5x)^2 + 8\)
Simplifying:
\((f o H)(x) = 2(12-5x) + 8\)
\((f o H) (x) = 32 - 10x\)
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Let A be a 7×5 matrix with rank equal to 4 and let b be a vector in R8. The four fundamental sub- spaces associated with A are R(A), N(AT ), R(AT ), and N (A).
The value of R(A) = 4, N(AT ) = 3, R(AT ) = 4, and N (A) = 3.
Given that
Dimension of matrix = 7×5
Rank of matrix = 4
The range space of A,
Which is a subspace of R, is known as R(A).
It is made up of all conceivable linear combinations of A's columns.
The dimension of R(A) = rank of A,
Which is 4 in this case.
The null space of the transpose of A,
Which is also a subspace of R, is designated as N(AT).
All potential answers to the equation ATx = 0,
Where x is a R column vector, are included in it.
N(AT) has a dimension = nullity of A,
which in this case is 3 in this example.
The range space of the transposition of A, is designated as R(AT).
The rows of A are arranged in all conceivable linear configurations.
The rank of A = 4
Thus it equal to dimension of R(AT).
N(A) is the null space of A.
Axe = 0, where x is a column vector in R, are included in it.
The nullity of AT, which is three, is likewise equivalent to the dimension of N(A).
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PLEASE HELP! NEED THIS DONE TONIGHT!!11
ABCD is a trapezoid with midsegment EF, and segment lengths AB = 9x + 3, CD = 4x + 7, and EF = 5x +13. Segments AB and CD are parallel.
1. In a trapezoid, what is the relationship between the length of the midsegment and the bases? (1 point)
2. Find the value of x using the relationship described in number 1. Show work to receive credit. (4 total points – 3 points for correct algebra procedures, 1 point for answer)
3. What is the length of segment AB ? Show work to receive credit. (2 total points – 1 point for correct substitution, 1 point for answer)
Based on the trapezoid midsegment theorem, we have:
1. EF = 1/2(AB + CD)
2. x = 16/3
3. AB = 51 units.
What is the Trapezoid Midsegment Theorem?The trapezoid midsegment theorem states relationship between the length of the midsegment and its bases as:
Length of the midsegment = 1/2(sum of the length of the trapezoid bases).
1. Given the following:
EF = 5x + 13 (midsegment of the trapezoid)
AB = 9x + 3 (one of its bases)
CD = 4x + 7 (one of its bases)
According to the trapezoid midsegment theorem, the relationship between the length of the midsegment and the bases of the trapezoid would be stated as:
EF = 1/2(AB + CD)
Substitute
5x + 13 = 1/2(9x + 3 + 4x + 7)
5x + 13 = 1/2(13x + 10)
2. 5x + 13 = 1/2(13x + 10) (relationship described)
Solve for x
2(5x + 13) = 13x + 10
10x + 26 = 13x + 10
Combine like terms
10x - 13x = -26 + 10
-3x = -16
Divide both sides by -3
-3x/-3 = -16/-3
x = 16/3
3. AB = 9x + 3
Plug in the value of x
AB = 9(16/3) + 3
AB = 3(16) + 3
AB = 51 units.
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Solve 1/3x - 2/7x > 1/3
Answer: x > 7
Step-by-step explanation:
Given:
\(\displaystyle \frac{1}{3}x- \frac{2}{7}x > \frac{1}{3}\)
Subtract:
\(\displaystyle \frac{1}{21}x > \frac{1}{3}\)
Divide both sides of the equation by \(\frac{1}{21}\):
\(\displaystyle x > 7\)
What does this mean?
This means the x is equal to all values greater than 7.
-> 7.432421, 7.5, 8, 250, etc
SOMEONE PLSS HELP!
Dwayne’s goal is to run 1 mile in 8 minutes or less. In order to predict when he will reach his goal, he drew a trend line that fits along the data points. He extended the trend line to week 8. According to the line, will he reach his goal by week 7? By week 8?
Answer:
where's the line? Can't answer it without it.
X^3 - 5x^2 + 2x + 8 = 0; x - 2 factor and find all roots
Answer:
The zeroes are -1, 2, and 4. Factored: (x+1)(x-4)(x-2)=0
Step-by-step explanation:
kira,boris,deshuan have a total of $119 in their wallets. Boris has 3 times waht deshuan has. Deshuan has $6 more than kira. How much do they have in their wallets.
Kira has $19, Boris has $75, and Deshuan has $25.
How much money does each person have in their wallets?We will denote as follows:
Kira has as K, Boris has as B, and Deshuan has as D.From information, we can set up equations:
B = 3D (Boris has 3 times what Deshuan has)
D = K + 6 (Deshuan has $6 more than Kira)
K + B + D = 119 (The total amount of money they have is $119)
Substituting equation 2 into equation 1, we have:
B = 3(K + 6)
Substituting equations 1 and 2 into equation 3:
K + 3(K + 6) + (K + 6) = 119
K + 3K + 18 + K + 6 = 119
5K + 24 = 119
5K = 119 - 24
5K = 95
K = 95 / 5
K = 19
Using equation 2, we can find D:
D = K + 6
D = 19 + 6
D = 25
Using equation 1, we can find B:
B = 3D
B = 3 * 25
B = 75.
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If y = x² - 2x + 3, find the value(s) of x when y = 3.
Answer:
x = 0 , x = 2
Step-by-step explanation:
y = x² - 2x + 3 ← substitute y = 3
3 = x² - 2x + 3 ( subtract 3 from both sides )
0 = x² - 2x ← factor out x from each term on the right side
0 = x(x - 2)
equate each factor to zero and solve for x
x = 0
x - 2 = 0 ⇒ x = 2
Pythagorean Theorem with an Unknown Leg
Answer:
a = √85
Step-by-step explanation:
We simply have to plug in what we already know to find the measure of a.
11 is the hypotenuse and 6 is a regular leg so we have:
\(a^2+6^2=11^2\\a^2+36=121\\a^2=85\\\sqrt{a^2} =\sqrt{85}\\ a=\sqrt{85}\)
PLEASE HELP ME WITH THIS. 5 POINTS
Answer:
I think b is not proportional
classify the following differential equation s given in both standard and differential form. Q5 only
Simplify the expression:
7f+5+3f
Answer:
10f + 5
Step-by-step explanation:
7f+5+3f (Given)
10f + 5 (combine like terms)
Answer:
15f is the correct answer
will give branlist if correct! Answers to 6-7
Answer:
6. = > 7. = 3√ 45, 63/16, -2/9 PI, -0.09, -√ 15
Step-by-step explanation:
Sorry if im wrong
form differential equations for all circles in the xy plane
The differential equation that can represent all circles in the xy plane is given as follows:
\(\frac{dy}{dx} = -\frac{x - h}{\sqrt{r^2 - (x - h)^2}}\)
How to obtain the differential equations for a circle?The equation of a circle of center (h,k) and radius r is given as follows:
(x - h)² + (y - k)² = r².
The equation can be arranged to isolate the variable y as follows:
(y - k)² = r² - (x - h)²
y - k = square root (r² - (x - h)²)
y = square root (r² - (x - h)²) + k
To obtain the differential equation, then this equation must be differentiated towards variable x as follows:
\(\frac{dy}{dx} = \frac{d}{dx}(\sqrt{r^2 - (x - h)^2} + k)\)
Applying the chain rule, along with the derivative for the square root, we have that:
\(\frac{d}{dx}(\sqrt{r^2 - (x - h)^2} + k) = -\frac{x - h}{\sqrt{r^2 - (x - h)^2}}\)
Meaning that the differential equation is given as follows:
\(\frac{dy}{dx} = -\frac{x - h}{\sqrt{r^2 - (x - h)^2}}\)
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Complete the table below to solve the equation 2.5x − 10.5 = 64(0.5x)