Answer: 1 foot
Step-by-step explanation:
because 1 foot is equivalent to 12 inches
Using the Zero Factor Property, solve (2x + 1)(x - 6) = 0.
Answer:
1 2/3 or 1.67
Step-by-step explanation:
(2x+1)+(x-6)=0
Remove parenthesis.
2x+1+x-6=0
Rearrange to make life temporarily easier.
2x+x+1-6=0
Now combine like terms.
3x-5=0
Add 5 to cancel it out.
3x-5=0
+5 +5
3x=5
Divide 3 from both sides to cancel that out.
3x=5
/3 /3
x=5/3 or 1 2/3
So the answer is 1 2/3 or 1.67
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hope it helps
What is the value of the missing angle?
Answer:
65°
Step-by-step explanation:
All angles in a triangle added up make 180° so you have to add 68° and 47° whih equals 115° and then simply subtract it from 180° so 180°-115°=65°
Please answer thank u ASAP.
Answer:
a?
Step-by-step explanation:
i'll give brainliest
reflect (-4,4) in the x-axis
Answer:
(-4,-4)
Step-by-step explanation:
Anytime you reflect a coordinate point across the x-axis, the y-coordinate becomes its opposite and the x-coordinate stays the same.
In this coordinate: (-4,4)
Reflecting (-4,4) across the x-axis means the x-coordinate (-4) would stay the same and the y-coordinate (4) would become its opposite (-4).
The new coordinates after being reflected across the x-axis are (-4,-4).
The area of a circle is 4 square centimeters. What is the circumference?
PLS HELPPPPPPP MEEEEE
Answer:
4.7 · 10^7
Step-by-step explanation:
1. A company has a cash portfolio measured in millions. The drift is 0.1 per month, variance is 0.16per month. The initial cash is 2.0. a) Find the probability distribution after 6 months and after 1 year. b) Find the probability of a negative cash position at the end of 6 months and the end of 1 year. c) At what time in the future is the probability of a negative distribution greatest.
Answer:
Step-by-step explanation:
From the information given:
The probability distribution at the end of 6 months is determined as follows:
After 6 months;
Mean of probability distribution = value of Initial cash + [tex]\alpha[/tex]T
=2.0 +(0.1 × 6)
=2.6
After 6 months;
The probability distribution's standard deviation is estimated by using the following formula:
Standard deviation:
[tex]= b\sqrt{T}[/tex]
[tex]= 0.4 \times \sqrt{6}[/tex]
= 0.9798
Hence, after 6 months;
The company's cash position is supposed to be allocated monthly, with the following expenses.
Mean 2.6
Standard deviation 0.9798
Variance 0.96
After 12 months, the probability distribution is as follows:
Mean = value of Initial cash + [tex]\alpha[/tex]T
= 2.0 +(0.1 × 12)
= 3.2
The standard deviation is:
The standard deviation of probability distribution = [tex]b \sqrt{T}[/tex]
[tex]= 0.4 \times \sqrt{12}[/tex]
= 1.3856
Hence, after 6 months;
The company's cash position is supposed to be allocated monthly, with the following expenses.
Mean 3.2
Sandard deviation 1.3856
Variance 1.92
b)
in 6-month distribution, the probability of the negative value of the cash position is as follows.
Now, for us to find the negative cash distribution;
We need to estimate the z -scores value.
The z-score inform us greatly on the concept of how far a particular data point is from the mean.
For a normal distribution;
[tex]z = \dfrac{x-\mu}{\sigma}[/tex]
Here;
the value of x = zero as a result that if it exceeds zero. the cash position will be negative.
∴
[tex]z = \dfrac{x-\mu}{\sigma}[/tex]
[tex]z = \dfrac{0 - 2.6}{0.9798}[/tex]
[tex]z = -2.6536[/tex]
Using the standard distribution tables, it is now possible to calculate that the likelihood N(-2.65) equals 0.004 or 0.4 percent.
As a result, there's a 0.4 percent chance of getting a negative cash balance after six months.
For 12 months distribution:
The Probability of negative cash position is calculated as follows:
[tex]z = \dfrac{x-\mu}{\sigma} \\ \\ z = \dfrac{0-3.2}{1.3856} \\ \\ z = -2.3094[/tex]
Using the standard distribution tables,
N(-2.31) equals 0.0104 or 1.04 percent.
As a result, there's a 1.04 percent chance of getting a negative cash balance after 1 year
c) To determine the time period over which the likelihood of achieving a negative cash condition is highest, it's necessary to examine the z-score more closely. Essentially, the z-score measures the difference between a given value(x) and the mean of all potential values [tex](\mu)[/tex], expressed in terms of the total set's standard deviation [tex](\sigma)[/tex]
This suggests that the higher the z-score, the greater the difference occurring between x and [tex]\mu[/tex], and thus the likelihood of receiving x is minimal. As a result, the best chance of finding a certain value is when the z-score is the lowest.
To do so, calculate the derivative of the z-score in relation to the time interval. The point where the derivative is equivalent to zero is where the z-scores are at their lowest.
The first step is to go over the z-score formula in more detail, as seen below.;
[tex]z = \dfrac{x-\mu}{\sigma} \\ \\ z = \dfrac{0-(initial \ value + \alpha T)}{b \sqrt{T}} \\ \\ z = \dfrac{-initial \ value }{b\sqrt{T}}-\dfrac{a \sqrt{T}}{b} \\ \\[/tex]
Now, compute the derivative of this equation with respect to T as follows:
[tex]\dfrac{dz}{dT}= \dfrac{initial \ value \times T^{-\dfrac{3}{2}}}{2b} - \dfrac{aT^{-\dfrac{1}{2}}}{2b}[/tex]
Now, figure out the value of T at which this derivative is equal to zero by substituting all values as follows:
[tex]0 = \dfrac{2.0 \times T^{-\dfrac{3}{2}}}{2\times 0.4}- \dfrac{0.1 \times T^{-\dfrac{1}{2}}}{2 \times 0.4} \\ \\ \\ 0.1 \times T^{-\dfrac{1}{2}}= 2.0 \times T^{-\dfrac{3}{2}} \\ \\ \\T = \dfrac{2}{0.1} \\ \\ \\ T = 20[/tex]
As a result, the time period in which achieving a negative cash condition is = 20 months.
The length of segment GI is 8. True or false?
Answer: false
Step-by-step explanation: that’s what my teacher told me sorry if it’s wrong
Answer:
It is false
Definetely false
Two of the angles in a triangle measure 90 degrees and 7 degrees what is the measure of the third angle
Answer:
The third angle would be 83 degrees.
Step-by-step explanation:
Seeing that every triangle's angles will always add up to 180 degrees, we would do the following:
180-90=90
90-7=83 degrees.
What is the intercept of the equation
Answer:
-2
Step-by-step explanation:
Plug y=0 into the equation and solve the resulting equation 0=3x+6 for x
The line passes through the points (3, 7) and (4, 9)
Answer:
I'm confused as to what your asking?
Answer:
y= 2x +1
Step-by-step explanation:
slope 9-7/4-3 = 2/1= 2
y-7 = 2(x -3)
y-7 = 2x -6
y = 2x +1
Local versus absolute extrema. If you recall from single-variable calculus (calculus I), if a function has only one critical point, and that critical point is a local maximum (or say local minimum), then that critical point is the global/absolute maximum (or say global/absolute minnimum). This fails spectacularly in higher dimensions (and thereís a famous example of a mistake in a mathematical physics paper because this fact was not properly appreciated.) You will compute a simple example in this problem. Let f(x; y) = e 3x + y 3 3yex . (a) Find all critical points for this function; in so doing you will see there is only one. (b) Verify this critical point is a local minimum. (c) Show this is not the absolute minimum by Önding values of f(x; y) that are lower than the value at this critical point. We suggest looking at values f(0; y) for suitably chosen y
Answer:
Step-by-step explanation:
Given that:
a)
[tex]f(x,y) = e^{3x} + y^3 - 3ye^x \\ \\ \implies \dfrac{\partial f}{\partial x} = 0 = 3e^{3x} -3y e^x = 0 \\ \\ e^{2x}= y \\ \\ \\ \implies \dfrac{\partial f}{\partial y } = 0 = 3y^2 -3e^x = 0 \\ \\ y^2 = e^x[/tex]
[tex]\text{Now; to determine the critical point:}[/tex]- [tex]f_x = 0 ; \ \ \ \ \ f_y =0[/tex]
[tex]\implies e^{2x} = y^4 = y \\ \\ \implies y = 0 \& y =1 \\ \\ since y \ne 0 , \ \ y = 1, \ \ x= 0\\\text{Hence, the only possible critical point= }(0,1)[/tex]
b)
[tex]\delta = f_xx, s = f_{xy}, t = f_{yy} \\ \\ . \ \ \ \ \ \ \ \ D = rt-s^2 \\ \\ i) Suppose D >0 ,\ \ \ r> 0 \ \text{then f is minima} \\ \\ ii) Suppose \ D >0 ,\ \ \ r< 0 \ \text{then f is mixima} \\ \\ iii) \text{Suppose D} < 0 \text{, then f is a saddle point} \\ \\ iv) Suppose \ D = 0 \ \ No \ conclusion[/tex]
[tex]Thus \ at (0,1) \\ \\ \delta = f_{xx} = ge^{3x}\implies \delta (0,1) = 6 \\ \\ S = f_{xy} = -3e^x \\ \\ \implies S_{(0,1)} = -3 \\ \\ t = f_{yy} = 6y \\ \\[/tex]
[tex]\implies t_{0,1} = 6[/tex]
[tex]Now; D = rt - s^2 \\ \\ = (6)(6) -(-3)^2[/tex]
[tex]= 36 - 9 \\ \\ = 27 > 0 \\ \\ r>0[/tex]
[tex]\text{Hence, the critical point} \ (0,1) \ \text{appears to be the local minima}[/tex]
c)
[tex]\text{Suppose we chose x = 0 and y = -3.4} \\ \\ \text{Then, we have:} \\ \\ f(0,-3.4) = 1+ (-3.4)^3 + 3(3.4) \\ \\ = -28.104 < -1[/tex]
[tex]\text{However, if f (0,1) = 1 +1 -3 = -1 \\ \\ f(0,-3.4) = -28.104} < -1} \\ \\ \text{This explains that} -1 \text{is not an absolute minimum value of f(x,y)}[/tex]
a hardware factory produces 3.6 •10^5 bolts in 2400 minutes. what is the factory rate of production in bolts per minute
Gina needs to buy a bathroom mirror that is 3 feet wide and 6 feet long. If the mirror sells for $3.00 per square foot, what will the total cost of the mirror be?
Answer:
$54
Step-by-step explanation:
beacuse 6x3=18 and 18x3=54 so your answer will be $54
sorry if im wrong mark me brainliest if im right
A CD has a diamter of 4.75 inches, Find the circumference, Use calculator pi or 3.14. Round to the nearest hundredth, if necessary.
WILL GIVE BRAINLIEST!!!
Answer:
15 in.
Step-by-step explanation:
(3f–3)^2 pls help
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PA = 0.5 PB = 0.3 and p A and b equals 0.15 what is p A or b
Answer:
P(A) = 0.2, P(B) = 0.5, P(A\B) = 0.3:
P(A\B) = P(A and B) P(B)
0.3 = P(A and B) 0.5
0.15 P(A and B)
P(A and B) = 0.15
B. P(A or B) = P(A) + P(B) - P(A and B)
0.2 + 0.5 - 0.15
0.70 - 0.15 = 0.55
In a certain clothing store 6 shirts and 3 ties cost $79.50 and 3 shirts and 2 ties cost $41 determine the cost of each shirt
9514 1404 393
Answer:
$12 for each shirt
Step-by-step explanation:
If we let 's' and 't' represent the costs of a shirt and tie, respectively, then we can write the general form equations ...
6s +3t -79.50 = 0
3s +2t -41.00 = 0
The solution for s can be found using the "cross multiplication" technique.
Differences of products can be formed:
d1 = (6)(2) -(3)(3) = 3
d2 = (3)(-41) -(2)(-79.50) = 36
Then we have ...
1/d1 = s/d2 ⇒ s = d2/d1 = 36/3 = 12
The cost of each shirt is $12.00.
___
2 ties cost 41-36 = 5, so each one is $2.50.
_____
Additional comment
The use of simple elimination on this set of equations would eliminate the s-variable, so would mean additional work to find s after finding t. The t-variable could be eliminated by multiplying one equation by one coefficient, and the other by a different coefficient. As long as we're doing that amount of work, we may as well do just enough cross-multiplication to get the one answer we need. This is where the "cross-multiplication" method of solution comes in handy.
This method solves the general-form equations ...
ax +by +c = 0dx +ey +g = 0by considering the two rows of coefficients:
a, b, c, ad, e, g, dThen differences of cross-products are formed in adjacent columns:
d1 = ae -db
d2 = bg -ec
d3 = cd -ga
The solutions are ...
1/d1 = x/d2 = y/d3 ⇒ x = d2/d1, y = d3/d1
Suppose that the height (in centimeters) of a candle is a linear function and the amount of time (in hours) it has been burning. After 9 hours of buring, a candle has a hight of 22.2 centimeters. After 23 hours of burning, it's heigh is 16.8 centimeters. What is the height of candle after 19 hour
Answer: cockme
Step-by-step explanation:
cockme
HELP. NO links. Please help I've been on this for a while
Answer:61
Step-by-step explanation:
Answer:
[tex]\Huge\boxed{C.61}[/tex]
Step-by-step explanation:
Hello There!
Remember this is the triangle angle rule:
The angles of a triangle MUST have a sum of 180
That being said we can find the missing angle by subtracting the given angles ( 87 and 32 in this case) from 180
so missing angle = 180 - 87 - 32
180 - 87 = 93
93 - 32 = 61
so we can conclude that the answer is c
Find the area of the polygon.
The manager of a restaurant recorded how many people are in different groups of customers and how much does group spent on food and beverages. The scatterplot below shows the date if she recorded. Based on this scatterplot, about how much money would a group of 10 people be expected to spend on food and beverages at this restaurant?
Answer:
$135
Step-by-step explanation:
Nathaniel is using the quadratic formula to solve 0 = x2 + 5x - 6. His steps are shown below/attached
What are solutions to the equations
Answer:
A
Step-by-step explanation:
Answer:
x= -6 ,1
Step-by-step explanation:
B is the answer
x= -6 ,1
6. cory gets paid every two weeks. he works 40 hours per week at $7.75 per hour. cory has the following deductions: 8% for medical insurance, 12% for federal and state taxes, and 10% for retirement. cory's net pay will be $________.
Answer:
$434
Step-by-step explanation:
Gross Pay
$7.75 per hour40 hours per weekPay received every 2 weeks⇒ Total gross pay = 7.75 × 40 × 2 = $620
Deductions
Medical insurance = 8%Taxes = 12%Retirement = 10%⇒ Total deductions = 8% + 12% + 10% = 30%
Net Pay
Net Pay = Total Gross Pay - Total deductions
= $620 - (30% of $620)
= $620 - (0.3 × $620)
= $620 - $186
= $434
Therefore, Cory's net pay will be $434.
Verify the Identity.
tan²xsin²x = tan²x-sin²x
tan²(x) - sin²(x) = sin²(x)/cos²(x) - sin²(x)
… = sin²(x) (1/cos²(x) - 1)
… = sin²(x) (sec²(x) - 1)
… = sin²(x) tan²(x)
During the month of April, Samantha Kept
track of the number of days she saw a
hummingbird in her garden. She saw a
hummingbird 18 days during that 30 day
month. Based on this information, how
many days will she see a hummingbird
during the 180 day summer?
Answer:
she will see 108 humming birds
Step-by-step explanation:
30x6= 180
so mutiply how many times she sees one in a month by 6
Answer:
3240
Step-by-step explanation:
Find the measure of 44.
s
24
158°
ts
64 = [?]
Answer:
∠4 = 22
Step-by-step explanation:
Hello There!
The angles shown are consecutive interior angles
If you didn't know consecutive interior angles are supplementary angles meaning that the sum of the two angles is 180
So we can find the missing angle by subtracting the given angle (158 in this case) from 180
180 - 158 = 22
so we can conclude that ∠4 = 22
180.timr3fzgncvdfccfxdfdxxfhk
180-158=22
the measure is 44
please help and putting the steps would help
Answer:
x = 8
Step-by-step explanation:
These angles provided are alternate interior angles. That means they are congruent (equal). All you need to do now is answer the equation "8x-4 = 60".
From that you can see that x is 8.
Answer:
the angles are alternate interior angle pair, they are equal
8x - 4 = 608x = 64x = 8Factor out the greatest common monomial factor from polynomial. Show your work or explain your reasoning
Answer:
7(1 +3x)
Step-by-step explanation:
The simplest monomial is a constant that is a prime number. That constant is a factor of the coefficient of the only other monomial in the expression, so it can factored from both terms.
= 7 + 7·3x
= 7(1 +3x)
Find the value of x in the diagram
Answer:
x = 21
Step-by-step explanation:
Based on the inscribed angle theorem, we would have:
120° = 2(3x - 3)°
Solve for x
120 = 2*3x - 2*3
120 = 6x - 6
Add 6 to both sides
120 + 6 = 6x
126 = 6x
Divide both sides by 6
126/6 = x
21 = x
x = 21