Answer:
K=5
Step-by-step explanation:
12k-15=35+2k
12k=50+2k
10k=50
k=5
Answer:
[tex]k = 5[/tex]
Step-by-step explanation:
[tex]12k - 15 = 35 + 2k[/tex]
Our goal is to isolate k
[tex]12k - 15 = 35 + 2k\\\;\;\;\;+15 \;\;\;\;\;\;\; +15[/tex]
[tex]12k = 50 + 2k\\-2k \;\;\;\;\;\;\;\; -2k[/tex]
[tex]10k = 50[/tex]
Now we have k isolated to one side. Our final step is to have k be just k, no coefficient. We can do this by dividing each side by the coefficient.
[tex]\large\frac{10k}{10} = \frac{50}{10} \\\\10k\;\div\;10 = k\\50\;\div\;10 = 5\\[/tex]
[tex]\large\boxed {k \;=\;5}[/tex]
~[tex]InLoveWithPugs[/tex]
[tex]Moderator\\Math\ Enthusiast[/tex]
FINANCE
2. Which of the following statements is FALSE?
A. Common stockholders have an upper limit on their dividends
B. Preferred stockholders are more protected from risk than common stockholders.
C. Common stockholders own the firm and are among the last to be paid in the event of bankruptcy.
D. Preferred stockholders are
Answer: I think its C
Step-by-step explanation:
(45x-7)4x=57 solve this and ill make out with you
Answer:
After solving [tex](45x-7)4x=57[/tex] we get [tex]\mathbf{x=0.645 \ or \ x = -0.490}[/tex]
Step-by-step explanation:
We need to solve the equation: [tex](45x-7)4x=57[/tex]
Solving:
[tex](45x-7)4x=57[/tex]
Multiply 4x with terms inside the bracket
[tex]180x^2-28x=57[/tex]
[tex]180x^2-28x-57=0[/tex]
We need to solve above equation to find value of x
Using quadratic formula for finding value of x: [tex]x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}[/tex]
We have a=180, b=-28 and c=-57
[tex]x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}\\x=\frac{-(-28)\pm\sqrt{(-28)^2-4(180)(-57)}}{2(180)}\\x=\frac{28\pm\sqrt{784+41040}}{360}\\x=\frac{28\pm\sqrt{41824}}{360}\\x=\frac{28\pm204.51}{360}\\x=\frac{28+204.51}{360} \ or \ x=\frac{28-204.51}{360}\\x=0.645 \ or \ x = -0.490[/tex]
Values of x are [tex]\mathbf{x=0.645 \ or \ x = -0.490}[/tex]
So, After solving [tex](45x-7)4x=57[/tex] we get [tex]\mathbf{x=0.645 \ or \ x = -0.490}[/tex]
Geometry please help
A car and a truck leave the same intersection, the truck heading north at 60 mph and the car heading west at 55 mph. At what rate is the distance between the car and the truck changing when the car and the truck are 30 miles and 40 miles from the intersection, respectively?
Answer: -81
Step-by-step explanation:
Let x = the car moving towards west = 30
Let y = truck moving towards north = 40
dx/dt = -55
dy/dt = -60
We the use Pythagoras theorem to solve further where,
s² = x² + y²
s² = 30² + 40²
s² = 900 + 1600
s² = 2500
s =✓2500
s = 50
We then differentiate with respect to t, then we will have:
s² = x² + y²
2s ds/dt = 2x ds/dt + 2y dy/dt
50 ds/dt = (30 × -55) + (40 × -60)
50 ds/dt = -1650 - 2400
50 ds/dt = - 4050
ds/dt = -4050/50
ds/dt = -81
Faith spent $78 at Fashion Warehouse. She bought 2 shirts that each cost $17.50 and a pair of shoes. How much did she spend for shoes?
Answers Choices
A. 34.00
B. 60.50
C. 43.00
D. 113.00
Answer:
C. 43.00
Step-by-step explanation:
If we add up the amount she paid for shirts we would get 35, then we subtract 78 by 35 to get our answer.
what is the solution to this equation: 5x to the 2 power - 36x - 81 = ?
Answer:
5x² - 36x - 81
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDASAlgebra I
Combining Like TermsStandard Form: ax² + bx + c = 0Step-by-step explanation:
Step 1: Define expression
5x² - 36x - 81
Step 2: Simplify
We cannot simplify the expression down further.
Select the equation for a graph that is the set of all points in the plane that are equidistant from the point F(6, 0) and line x = −6.
The equation of the graph is [tex]x = \frac 1{24}y^2[/tex]
How to determine the equation?Generally, a point is represented as:
(x,y)
The line x = -6 means that:
(-6, y)
So, we calculate the distance between (x,y) and (-6, y) as follows:
[tex]d = \sqrt{(x + 6)^2 + (y - y)^2}[/tex]
This gives
[tex]d = \sqrt{(x + 6)^2 }[/tex]
Next, we calculate the distance between (6,0) and (x, y) as follows:
[tex]d = \sqrt{(x - 6)^2 + (y - 0)^2}[/tex]
This gives
[tex]d = \sqrt{(x - 6)^2 + y^2}[/tex]
Equate both distance expressions
[tex]\sqrt{(x + 6)^2} = \sqrt{(x - 6)^2 + y^2}[/tex]
Square both sides
[tex](x + 6)^2 = (x - 6)^2 + y^2[/tex]
Expand
[tex]x^2 + 12x + 36 = x^2 - 12x + 36 + y^2[/tex]
Evaluate the like terms
[tex]12x = - 12x + y^2[/tex]
Add 12x to both sides
[tex]y^2 = 24x[/tex]
Make x the subject.
[tex]x = \frac 1{24}y^2[/tex]
Hence, the equation of the graph is [tex]x = \frac 1{24}y^2[/tex]
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Solve the quadratic equation numerically (using tables of x- and y- values). x(x + 3) = 0 a. x = -1 or x = 3 c. x = 0 or x = -3 b. x = 0 or x = -5 d. x =1 or x = -1
Answer:
Step-by-step explanation:
x = 0
x+3 = 0
x = -3
The answer is x could be 0 or -3
Answer:
c on edge
Step-by-step explanation:
Which direction am I going if I drive from Washington DC to Dallas texas
Answer:
north
Step-by-step explanation:
3.
If m
complement of
Answer:
complement of what ?
Step-by-step explanation:
Please help I need these quickly. Please answer sensibly! I will give brainliest to the correct answer.
Answer:
n+n= 2n
[tex](3n) ^{2} = 9n ^{2} [/tex]
5(n+2)=5n+10
2(n+1)=2n+1
[tex]n \div 4 = \frac{n}{4} [/tex]
[tex]n(n - 2 = n{2} - 2n[/tex]
The number of passengers in the bus double every minute. The bus was full of
passengers at 7.45am. When was it one quarter full?
Answer:
7:43 am.
Step-by-step explanation:
it was 1/2 full one minute ago then another 1/2 = 1/4 full 2 minutes ago.
Knowing how the bus fills, we want to find the time where the bus is one-quarter full.
The bus is one-quarter full at 7:43 am.
We know that at 7:45 am the bus is full. Let's say that the full bus has N people inside.
Each minute the population doubles, so if we go backwards, each minute the population is divided by 2.
One minute before, the bus must have half of the above population, meaning that at 7:44 am, the bus has N/2 people.
Another minuter before the people inside is halved again, then at 7:43 am we will have (N/2)/2 = N/4 people.
And if N is the people in a full bus, then N/4 represents the buss a quarter full.
Then we can answer the question as:
The bus is one-quarter full at 7:43 am.
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solve for m (8m+4) 38 degrees
Answer:
305m+152
Step-by-step explanation:
(8m+4)38
Multiply each term in the parentheses
8m times 38 plus 4 times 38
Multiply 8m times 38
304m plus 4 times 38
Then Multiply 4 times 38
304m+152
That should be your answer, but I could be wrong, therefore I am so sorry if I am. I hope this helps you.
Geometry: Express the area of each figure as a monomial. I need help with this, anyone?
Answer:
answer 28ab³ I think maybe
The area of the right-angled triangle is represented as the monomial [tex]12a^3b^4[/tex].
Here,
The formula to calculate the area of a right-angled triangle is:
Area = (1/2) * base * height
In this case, the right-angled triangle has a height of [tex]6ab^3[/tex] and a base of [tex]4a^2b[/tex].
Now, let's substitute these values into the formula:
Area = [tex](1/2) * 4a^2b * 6ab^3[/tex]
Now, simplify the expression:
Area = [tex]2 * a^2b * 6ab^3[/tex]
To find the monomial representation, multiply the coefficients and add the exponents of like terms:
Area = [tex]12a^{(2+1)}b^{(1+3)[/tex]
Finally, simplify the exponents:
Area = [tex]12a^3b^4[/tex]
So, the area of the right-angled triangle is represented as the monomial [tex]12a^3b^4[/tex].
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Let’s fix some n e {1,2,3,...}. A biased coin with probability of head p is tossed n times, and the number of heads, N1, is counted. The coin is then tossed Ni more times, and the number of heads, N2, is counted. Find the expected total number of heads, E[Ni + N2], generated by this process. The answer should depend on n and p only.
Answer:
The answer is "np(1+p)".
Step-by-step explanation:
[tex]N_1[/tex] = Number of n tossed heads
According to [tex]N_1[/tex], Y = amount of [tex]N_1[/tex] tossing heads
So, [tex]N_1[/tex]~ Bin(n, p) and [tex]N_2[/tex] | [tex]N_1[/tex] ~ Bin([tex]N_1[/tex], p)
[tex]E(N_1+N_2) & = E\Big[N_1+N_2\vert N_1\Big]\\ &[/tex]
[tex]= E(N_1)+E\Big[N_2\vert N_1\Big]\\\\ & = E(N_1) + E(N_1\,p)\\\\ & = np + np.p \\\\ =np+np^2\\\\ =np(1+p)[/tex]
(Ill give brainliest if u help!)
Which equation has a value less than 54,811?
A) 54,811 x 2 = ________
B) 54,811 x one and two fourths = ________
C) 54,811 x 1 = ________
D) 54,811 x two fourths = ________
Answer:
Answer is D
Step-by-step explanation:
Answer:
The answer would be D.
Step-by-step explanation:
Determine the sample size required to estimate the mean score on a standardized test within 4 points of the true mean with 98% confidence. Assume that s = 15 based on earlier studies.
Answer:
67
Step-by-step explanation:
You have to use fractions to show your work and I'm not going to do that but just know that it is the answer.
Please answer! I will give brainliest to the correct answers.
Answer:
(n+10)+9
{(n+10)+9}/2
[{(n+10)+9}/2]-5
All you have to do is follow the steps!
Think of a number - n
Add 10 - n + 10
Add the number you were thinking of - n + 10 + n
Divide by 2 - (n + 10 + n) / 2
Subtract 5 - ((n + 10 + n) / 2) -5
It may look hard, but its not as hard as you think. All you need to do is follow the steps!
The subset of the sample space probability experiment
Step-by-step explanation:
The sample space of a random experiment is the collection of all possible outcomes. An event associated with a random experiment is a subset of the sample space. The probability of any outcome is a number between 0 and 1. The probabilities of all the outcomes add up to 1.
solve 1,000x10 hint: use a strategy
Answer:
10000
Step-by-step explanation:
Answer:
10,000
Step-by-step explanation:
You just take the 0's and then you mutiply 1x1 and the answer you add the cero's you left the one from the number 10 and allso the ones from 1000
what is the correct evaluation of 3x-x+2,when x is equal to -4?
14
-6
6
-14
Answer:
The answer is -6.
Step-by-step explanation:
You have to substitute x = -4 into the expressions :
3x - x + 2
= 3(-4) - (-4) + 2
= -12 + 4 + 2
= -6
Help pleaseeeeeeeeeeeeeeeee
Answer: 0.92 feet (choice B)
You're close but not quite there. To get the answer, you divide 29.44 over 32
If you had 32 feet of banner and 32 students, then each student would get 32/32 = 1 foot. Since the length of the banner is smaller than the number of students, this means each student only gets a fraction of a foot. This fraction value is fairly close to 1 because 29.44 is close to 32.
Answer:
B: 0.92
Step-by-step explanation:
Divide the banner length by the amount of students
[tex]\frac{29.44}{32}[/tex]
What is the product of 7×-6 1/8
Answer:
-42.875 or -42 7/8
Step-by-step explanation:
you can turn -6 1/8 into a decimal: -6.125 and multiply it with 7.
The product of the fraction 7 x -(6 1/8) is -42.875 or in fraction form -42 7/8.
We have expression: 7 x -(6 1/8).
First, write the mixed fraction into improper fraction as
Numerator = 8 x 6 + 1 = 49
Denominator = 8
Now, the product will be
7 x -(6 1/8)
= 7 x (-49/8)
= 7 x (-6.125)
= -42.875
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Find the dimensions of a rectangle with area 729000 m2 whose perimeter is as small as possible. (Give your answers in increasing order, to the nearest meter.)
Step-by-step explanation:
Area of a rectangle = Length * Width
A = LW
729000 = LW .... 1
Perimeter of a rectangle P = 2L+2W
P = 2L+2W
From 1;
W = 729000/L
P = 2L + 2(729000/L)
P = 2L + 1458000/L
To minimize the perimeter, dP/dL = 0
dP/dL = 2 - 1458000/L²
2 - 1458000/L² = 0
2L² - 1458000 = 0
2L² = 1458000
L² = 729000
L = √729000
Length = 853.8m
W = A/L
Width = 729000/853.8
Width = 853.8
Hence the dimension to the nearest meter is 854m by 854m
helllppp meee please
Answer:
2, 3, 6, 7
Step-by-step explanation:
What is the x-coordinate of point B? Write a decimal coordinate.
(brainliest ) Edge 2020
Who is the most powerful undertale character
Answer:
Asriel Dreemurr
Step-by-step explanation:
Answer:
clearly the gay robot
hes my favorite <3
Which is the equation of a line that has a slope of 1/2 and passes through point (2, -3) ?
16.9 and 1.7 and 0.17 and 2.0 round to nearest tenth
Answer:
21
Step-by-step explanation:
I believe this because when you add it all together you get 20.77
What is B^y=x in logarithmic form?
Answer:
The logarithmic function for x = 2y is written as y = log2 x or f(x) = log2 x. The number 2 is still called the base. In general, y = logb x is read, “y equals log to the base b of x,” or more simply, “y equals log base b of x.” As with exponential functions, b > 0 and b ≠ 1
Step-by-step explanation:
ttygytex x so r5f3ygthttg