[tex]\begin{array}{cccccccc}\\ \underline{-3}&,&12&,&-33&,&102\\ \cline{1-7} &&(-3)(\underline{-3})+3&&(-3)(12)+3&&(-3)(-33)+3 \end{array} \\\\[-0.35em] ~\dotfill\\\\ \begin{array}{ccc} -303&,&912\\ \cline{1-3} (-3)(102)+3&&(-3)(-303)+3 \end{array}[/tex]
Một người tiêu dùng có thu nhập I = 1.200 đ dùng để mua hai sản phẩm X và Y với giá tương ứng là PX = 100đ/sp và PY = 300đ/sp. Mức thoả mãn được thể hiện qua hàm số:
TUX = -1/3X2 + 10X
TUY = -1/2Y2 + 20Y
a. Hãy xác định phương án tiêu dùng tối ưu của người này?
b. Tính tổng hữu dụng tương ứng đạt được?
gak bisa bahasa inggris.
Step-by-step explanation:
maap.
Convert 95°F to degrees Celsius.
If necessary, round your answer to the nearest tenth of a degree.
Here are the formulas.
C=- (F-32)
-F
9
F==C+32
Answer:
35 degrees celsius
What is 1/3÷1/2 math answers?
Step-by-step explanation:
If you like my answer than please mark me brainliest thanks
3. Find the difference between the two expressions.
(3/5x - 5y) - (4/5x + 2y
Answer:
[tex]^{-1}/_{5}x-7y[/tex]
Step-by-step explanation:
Our equation is
[tex](^{3}/_{5}-5y)-(^{4}/_{5}+2y)[/tex]
now we distribute the - and we get
[tex]^{3}/_{5}-5y-^{4}/_{5}-2y[/tex]
[tex]Combine[/tex] [tex]like[/tex] [tex]terms[/tex]
and now we have [tex]^{-1}/_{5}x-7y[/tex]
Would appreciate the help
Answer:
The probability of obtaining exactly 3 tails is on the tosses is 1/8.
Step-by-step explanation:
P(all tails)= P(nickel tails)P(dime tails)P(quarter tails)
P(all tails)= (1/2)(1/2)(1/2)
P(all tails)= 1/8
Elijah has a muffin and a banana. To find the banana's weight, Elijah uses a balance scale twice and the scale is balanced both times as shown below. How much does the banana weigh? please help me I don't get it
Answer:
the scale is balanced both times as shown below.
No scale is shown
Step-by-step explanation:
6/11 = q/3
Pls help me!
Ty'Sean went to the bowling alley and spent $14.50. If his rental shoes cost $4.50 and he played in 5 games, what was the price per game?
Answer:
$2 each
Step-by-step explanation:
$14.50-$4.50=$10.00
10.00/5 games =$2 each
simplify by expressing with radicals n√x^3^n
We can work with the exponents to simplify our expression, and we will get:
[tex]\sqrt[n]{x^{3n}} = x^3[/tex]
How to simplify the expression?Remember that a root of degree n is equivalent to an exponent of 1/n.
This means that we can rewrite a root of degree n as:
[tex]\sqrt[n]{x} = x^{1/n}[/tex]
Then our expression:
[tex]\sqrt[n]{x^{3n}}[/tex]
Can be rewritten as follows.
[tex]\sqrt[n]{x^{3n}} = (x^{3n}})^{1/n}[/tex]
Now we have the exponent of an exponent, that means that we just need to take the product between the two exponents.
Now we can take the product of the exponents to get.
[tex]\sqrt[n]{x^{3n}} = (x^{3n}})^{1/n} = x^{3n*1/n} = x^3[/tex]
You can see that in the third step the exponents n and 1/n cancell eachother, so we end only with the exponent 3.
That is the expression simplified.
Learn more about exponents at:
https://brainly.com/question/847241
#SPJ1
Find the critical points, relative extrema, and saddle points of the function. (If an answer does not exist, enter DNE.) f(x, y) = 25 − (x − 5)2 − y2
Take the first partial derivatives of f(x, y):
∂f/∂x = -2 (x - 5) = 10 - 2x
∂f/∂y = -2y
The critical points occur where both derivatives are zero:
10 - 2x = 0 ===> x = 5
-2y = 0 ===> y = 0
So there is only critical point at (5, 0), which takes on a value of f(5, 0) = 25.
Compute the Hessian matrix for f :
[tex]H(x, y) = \begin{bmatrix}\frac{\partial^2f}{\partial x^2} & \frac{\partial^2f}{\partial x\partial y} \\ \frac{\partial^2f}{\partial y\partial x} & \frac{\partial^2f}{\partial y^2}\end{bmatrix} = \begin{bmatrix}-2&0\\0&-2\end{bmatrix}[/tex]
Since det(H(x, y)) = 4 > 0 for all x, y, the critical point (5, 0) is a relative minimum.
f has no saddle points.
Number 14 pls help I am stuck
Answer:
72 hectares
Step-by-step explanation:
The dimensions of the rectangle on the ground will be 20,000 times the dimensions shown in the drawing:
20,000×3 cm = 60,000 cm = 600 m
20,000×6 cm = 120,000 cm = 1200 m
The area of the land is ...
A = LW = (1200 m)(600 m) = 720,000 m²
1 hectare is 10,000 m², so this is ...
720,000 m² × (1 ha)/(10,000 m²) = 72 ha
The area of the plot is 72 hectares.
Please help!
Find the equation of this line.
Answer:
y = 1/3x + 2
Step-by-step explanation:
Slope - Intercept Form = y = mx + b
y - intercept = b = 2 (point of intersection of the y-axis)
m = slope
Slope = Change in Y/Change In X
You can see that as the graph goes up by 1, it goes to the right 3, so slope = 1/3
Equation : y = mx + b
Equation : y = 1/3x + 2
-Chetan K
Answer:
Step-by-step explanation:
Equation : y = mx + b
Equation : y = 1/3x + 2
what is 7 1/2 inches as a decimal of 1 foot
Answer:
7 1/2 inches as a decimal of 1 foot is 0.625ft
Answer:
7 1/2 inches = 0.625 ft
Step-by-step explanation:
7 1/2 inches = 7.5 inches
1 ft = 12 inches
7.5/12 = 0.625
7 1/2 inches = 0.625 ft
HELP PLEASE I WILL MARK BRAINIEST WHEN ABLE TO
An expression is shown below:
the square root of 18 plus the square root of 2
Which statement is true about the expression?
It is rational and equal to 4 times the square root of 2.
It is irrational and equal to 4 times the square root of 2.
It is rational and equal to 3 times the square root of 2.
It is irrational and equal to 3 times the square root of 2.
Answer: It is irrational and equal to 3 times the square root of 2.
Answer:
It is irrational and equal to 3 times the square root of 2.
Step-by-step explanation:
just like the other guy said
A store sells 5 T-shirts for $48.05. What is the unit cost per T-shirt?
Answer:
$9.61 per shirt
Step-by-step explanation:
You take the total cost of $48.05 and divide it by the number of t-shirts which is 5.
48.05/5 = 9.61
Read the excerpt from "Healthy Eating."
If anything gets in the way of our good eating, it's lifestyle. When you get home from work late, why spend an hour in front of the stove when you can spend two minutes at the microwave? And doesn't that oatmeal box claim to be a good source of calcium for our kids, never mind the small print listing 14 grams of sugar? A small soda at the movies could satisfy a family of four. Even schools have vending machines.
What does the author think is responsible for people's poor eating habits?
A They do not know how to correctly read the nutrition information on food packages.
B They do not know how to prepare healthy meals that are both inexpensive and quick.
C They often choose foods that are quick and convenient instead of ones that are healthy.
D They spend time thinking about work and entertainment instead of thinking about food.
Step-by-step explanation:
3/4 ÷ a = 1/4. Solve for a
Answer:
a = 3
Step-by-step explanation:
ok so first you do the reciprocal of division which is multiplication. So its gonna be 3/4 x 1/a = 1/4
you multiply the fractions 3/4 x 1/a and get 3/4a = 1/4
then you cross multiply and you get 12=4a
swap sides so its going to be 4a = 12
divide both sides by 4 and you get a = 3
PLEASE LOOK AT THE PHOTO !Number 32 please help me and thank you
❤️❤️❤️
Answer: 4 1/4 hours
Explanation: 2.5 + 1.75 = 4.25
4.25 = 4 1/4
Any athlete who fails the Enormous State University's women's soccer fitness test is automatically dropped from the team. Last year, Mona Header failed the test, but claimed that this was due to the early hour. (The fitness test is traditionally given at 5 AM on a Sunday morning.) In fact, a study by the ESU Physical Education Department suggested that 46% of athletes fit enough to play on the team would fail the soccer test, although no unfit athlete could possibly pass the test. It also estimated that 37% of the athletes who take the test are fit enough to play soccer. Assuming these estimates are correct, what is the probability that Mona was justifiably dropped
Using conditional probability, it is found that there is a 0.7873 = 78.73% probability that Mona was justifiably dropped.
Conditional Probability
[tex]P(B|A) = \frac{P(A \cap B)}{P(A)}[/tex]
In which
P(B|A) is the probability of event B happening, given that A happened. [tex]P(A \cap B)[/tex] is the probability of both A and B happening. P(A) is the probability of A happening.In this problem:
Event A: Fail the test.Event B: Unfit.The probability of failing the test is composed by:
46% of 37%(are fit).100% of 63%(not fit).Hence:
[tex]P(A) = 0.46(0.37) + 0.63 = 0.8002[/tex]
The probability of both failing the test and being unfit is:
[tex]P(A \cap B) = 0.63[/tex]
Hence, the conditional probability is:
[tex]P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.63}{0.8002} = 0.7873[/tex]
0.7873 = 78.73% probability that Mona was justifiably dropped.
A similar problem is given at https://brainly.com/question/14398287
Rewrite 1/4 barrel 2/5 hour as a unit rate
Answer:
5/8
Step-by-step explanation:
1/4÷2/5=1/4×5/2=5/8 barrel/Hour
Don’t totally understand it
Answer:
A.1 B.2 E.5 F.6
Step-by-step explanation:
Hope it helps brainliest awnser pls
y/x dy/dx=(1+x^2)^-1/2(1+y^2)^1/2
Answer:
(1+y)^(3/2)-3(1+y)^(1/2)=(1+x)^(3/2)-3(1+x)^(1/2)+c
Step-by-step explanation:
This is separable.
Multiply x dx on both sides and divide both sides by (1+y)^(1/2) to obtain:
y/(1+y)^(1/2)=(1+x)^(-1/2) x dx
Using law of exponents to get rid of negative exponent by finding reciprocal:
y/(1+y)^(1/2)=x/(1+x)^(1/2) dx
Let u=(1+y)^(1/2).
Then u^2=1+y.
Differentiate: 2 u du=dy
[Let v=(1+x)^(1/2).]
Plug in our substitution:
(u^2-1) 2u du/u=(v^2-1) 2v dv/v
Simplify:
(u^2-1) 2 du=(v^2-1) 2 dv
Integrate both sides:
(u^3/3-u) 2+L=(v^3/3-v) 2+K
Divide both sides by 2:
u^3/3-u +L/2=v^3/3-v+K/2
K/2-L/2 is just a constant value C:
u^3/3-u=v^3/3-v+C
Use substitution again to put back in terms of x and y:
((1+y)^(1/2))^3/3-(1+y)^(1/2)=((1+x)^(1/2))^3/3-(1+x)^(1/2)+C
Simplify the exponent part a bit:
(1+y)^(3/2)/3-(1+y)^(1/2)=(1+x)^(3/2)/3-(1+x)^(1/2)+C
I don't like the division by 3 so multiply both sides by 3:
(1+y)^(3/2)-3(1+y)^(1/2)=(1+x)^(3/2)-3(1+x)^(1/2)+3C
3C is still just an unknown constant, c.
(1+y)^(3/2)-3(1+y)^(1/2)=(1+x)^(3/2)-3(1+x)^(1/2)+c
Will the answer to the subtraction problem below be odd or even?
5291 - 4070 = ?
Answer:
1221
Step-by-step explanation:
here you go ...........
A tire manufacturer is interested in testing the fuel economy for two different tread patterns. Tires of each tread type are driven for 1000 miles on each of 18 different cars. In a separate experiment, 18 cars were outfitted with tires with tread type A, and another 18 were outfitted with tires with tread type B. Each car was driven 1000 miles. The cars with tread type A averaged 23.95 mpg, with a standard deviation of 1.79 mpg. The cars with tread type B averaged 22.19 mpg, with a standard deviation of 1.95 mpg. Let μX represent the population mean mileage for tread type A and let μY represent the population mean mileage for tread type B.
Required:
Find a 99% confidence interval for the difference μXâμY. Round the answers to three decimal places.
Using the t-distribution, it is found that the 99% confidence interval for the difference is (0.058, 3.462).
We are given the standard deviation for the samples, hence, the t-distribution is used to solve this question.
The standard errors are given by:
[tex]s_A = \frac{1.79}{\sqrt{18}} = 0.4219[/tex]
[tex]s_B = \frac{1.95}{\sqrt{18}} = 0.4596[/tex]
For the distribution of differences, the mean and the standard error are given by:
[tex]\overline{x} = \mu_A - \mu_B = 23.95 - 22.19 = 1.76[/tex]
[tex]s = \sqrt{0.4219^2 + 0.4596^2} = 0.6239[/tex]
The interval is given by:
[tex]\overline{x} \pm ts[/tex]
The critical value for a two-tailed 99% confidence interval with 18 + 18 - 2 = 34 df is t = 2.7284.
Then:
[tex]\overline{x} - ts = 1.76 - 2.7284(0.6239) = 0.058[/tex]
[tex]\overline{x} + ts = 1.76 + 2.7284(0.6239) = 3.462[/tex]
The 99% confidence interval for the difference is (0.058, 3.462).
For more on the t-distribution, you can check https://brainly.com/question/16162795
I need help on this
Here it is
(Score for Question 2: of 27 points) 2. Two sidewalks in a park are represented by lines on a coordinate grid. Two points on each of the lines are shown in the tables. Sidewalk 1 х y 2 17 0 5 Sidewalk 2 х у 1 20 3 26 (a) Write the equation for Sidewalk 1 in slope-intercept form. (b) Write the equation for Sidewalk 2 in point-slope form and then convert to slope-intercept form. (c) Is the system of equations consistent independent, coincident, or inconsistent? Explain. a. Note: Review 2.11 Strange Solutions and 5.05 Classifying Systems if you're not sure where to start. (d) Use the substitution or elimination method to solve your system, and explain which one you picked. If the two sidewalks intersect, what are the coordinates of the point of intersection?
PLS HURRRRRRY i need this answer the real one and step by step pls if u dont know it dont try
Answer:
Step-by-step explanation:
From the question, I couldn't really tell what the chart looks like, so I am guessing it looks like this:
Sidewalk 1:
x | y
2 | 17
0 | 5
Sidewalk 2:
x | y
1 | 20
3 | 26
Part a.
Now, we have to write the equation for sidewalk 1 in slope-intercept form.
Slope-intercept form is represented as this: [tex]y=mx+b[/tex], where m is the slope and b is the y-intercept. Because this is true for all values on the line, we can plug in values of the chart for Sidewalk 1.
[tex]17=2m+b\\5=0m+b[/tex]
Subtracting the second equation from the first, we have
[tex]12=2m[/tex], and [tex]m = 6[/tex].
Now, we can just plug 6 back into the first equation to get:
[tex]17=2(6)+b[/tex] to get [tex]17 = 12 + b[/tex], and then [tex]b = 5[/tex].
Now, we can just rewrite slope intercept form for Sidewalk 1 to have
[tex]y=6x+5[/tex].
Part b.
Point-slope form is represented as [tex]y-y_1=m(x-x_1)[/tex], where x and y are the coordinates of one point, and x1 and y1 are the coordinates of another point on the line. Because the chart represented for Sidewalk 2 includes a point, namely [tex](1, 20)[/tex] and [tex](3, 26)[/tex], we can plug this in and solve for the slope:
[tex]26-20=m(3-1)[/tex]
This is it in point-slope form. Because the second part of the question asks us to convert to slope-intercept form, we must solve for the slope, or m.
Expanding, we have [tex]26-20=3m-m[/tex]
Combining like terms, we have [tex]6 = 2m[/tex], and then [tex]3 = m[/tex]. Now, we need to plug a point and the slope back into point-slope form, not needing another point. We choose [tex](1, 20)[/tex], even though [tex](3, 26)[/tex] works just as well.
[tex]y-20=3(x-1)[/tex]
Expanding, we have [tex]y-20=3x-3[/tex]
Adding 20 to both sides, we have [tex]y=3x+17[/tex]
Part c. and d.
We see that both equations do not have the same slope, so then they are not parallel, meaning they don't have no solutions. If they have a solution, we can set them equal to each other.
[tex]3x+17=6x+5[/tex]
Subtracting 3x, we have [tex]17=3x+5[/tex]
Subtracting 5, we have [tex]12 = 3x[/tex]
Dividing by 3, we have [tex]x = 4[/tex].
Because there is no x = x, or anything like that, the solution does not have infinite solutions and therefore has one solution, meaning it is consistent independent.
There are 20 school days in a month. About how many miles does Manuel walk each month? Write an equation to show your work.
Answer:
he walks at lest 5 miles
Step-by-step explanation:
1. 543.5 = _______ ft _________ in
Answer:
uważam że nie wiem ale bym wiedział tylko muszę wiedzieć
answer fully /// /////////////////////
Answer:
Step-by-step explanation:
Yes, but like they say in Vegas, you're trying to make your point the hard way.
8 * (8 - 4) So the distributive property is means remove the brackets.
8*8 - 4*8 What you have done is multiply the numbers on either side of the - sign by 8. It is a good practice NOT to destroy the minus sign just yet.
64 - 32
32 The answer is 32. That's how the distributive property works
With this question only It might be easier to do what is inside the brackets first. That's making your point the easy way.
8*(8-4) = 8* 4 = 32
How do you know if a relationship between two quantities is not proportional
Answer:
Step-by-step explanation:
Recall that a proportional relationship is a relationship between two quantities in which the ratio of one quantity to the other quantity is constant. ... When ratios between quantities are not constant, a relationship may be linear but not proportional and the graph does not pass through the origin.