Answer:
[tex]\frac{n}{2} -8=14[/tex]
hope this helps
Answer:
1/2-8=14
Step-by-step explanation:
I got this because half is 1/2 minus is - and eight 8 is /equal to = 14
Will mark as brainliest if correct!
Answer:
14
Step-by-step explanation:
it's a simple matter of percentage on top of basic subtraction.
Use the method of lagrange multipliers to find
a. The minimum value of x+y, subject to the constraints xy=196, x>0, y>0
b. The maximum value of xy, subject to the constaint of x+y=196
Answer:
a) The function is: f(x, y) = x + y.
The constraint is: x*y = 196.
Remember that we must write the constraint as:
g(x, y) = x*y - 196 = 0
Then we have:
L(x, y, λ) = f(x, y) + λ*g(x, y)
L(x, y, λ) = x + y + λ*(x*y - 196)
Now, let's compute the partial derivations, those must be zero.
dL/dx = λ*y + 1
dL/dy = λ*x + 1
dL/dλ = (x*y - 196)
Those must be equal to zero, then we have a system of equations:
λ*y + 1 = 0
λ*x + 1 = 0
(x*y - 196) = 0
Let's solve this, in the first equation we can isolate λ to get:
λ = -1/y
Now we can replace this in the second equation and get;
-x/y + 1 = 0
Now let's isolate x.
x = y
Now we can replace this in the last equation, and we will get:
(x*x - 196) = 0
x^2 = 196
x = √196 = 14
then the minimum will be:
x + y = x + x = 14 + 14 = 28.
b) Now we have:
f(x) = x*y
g(x) = x + y - 196
Let's do the same as before:
L(x, y, λ) = f(x, y) + λ*g(x, y)
L(x, y, λ) = x*y + λ*(x + y - 196)
Now let's do the derivations:
dL/dx = y + λ
dL/dy = x + λ
dL/dλ = x + y - 196
Now we have the system of equations:
y + λ = 0
x + λ = 0
x + y - 196 = 0
To solve it, we can isolate lambda in the first equation to get:
λ = -y
Now we can replace this in the second equation:
x - y = 0
Now we can isolate x:
x = y
now we can replace that in the last equation
y + y - 196 = 0
2*y - 196 = 0
2*y = 196
y = 196/2 = 98
The maximum will be:
x*y = y*y = 98*98 = 9,604
Please help please I beg you if you love puppy’s puppy eyes please
The answer is the one that would be D is the choices were lettered: Moving the decimal point one place to the left makes the number 1/10 of its original value.
PLEASE HELP ME!!!!!!!!!!!!!!!!!A class room took a survey and asked how many students like spicy food, Below is their ratio of boys to girls that like spicy food.
Plot the points based on the ratio table below
Boys Girls
3. 2.
6. 4.
12. 8.
15. x
Answer: x = 16
Step-by-step explanation: The y values keep going up by multiplying 2. 2x2=4, 4x2=8, so 8x2=16.
To plot the points just put the point coordinated with the x values and y values.
there is a ratio of 7 boys to every 4 girls. If there are 64
s, how many boys are in the school?
Answer:
112
the answer is 112 :)))))
6 friends all use $2 off coupons to buy themselves movie tickets. They spend a total of $42 Write the equation
Answer:
(C / n) + 2
Step-by-step explanation:
Amount spent (C) = 42
Number of friends (n) = 6
Coupon on ticket = $2
Original price of ticket will be :
Cost per coupon ticket = (Total amount spent / number of friends)
(Total amount spent / number of friends) + coupon on ticket
= (C / n) + 2
= (42 /6) + 2
= 7 + 2
= 9
When Emma was born she was 20.5 inches long. At her 6-month checkup, she was 26.25 inches long.
Answer:
Um so then what is the question???
Step-by-step explanation:
Answer:
`She grew 5.75?
Step-by-step explanation:
I don't really know what the full question is, but if I saw that in a test and nothing else than I would put what the answer says lol
Can anyone answer this simplify question
Answer:
y^3/4x
Step-by-step explanation:
Can someone pls tell me if I’m right I will mark brainliest
Answer:
all should be correct but the last one is -7
Step-by-step explanation:
Answer:
3,0,-7
Step-by-step explanation:
The opposite of -3 would be 3, simply switch the signs.
The opposite of 0 would be 0, because 0 simply has no opposites.
The opposite of 7 would be -7, just switch the signs again.
If cosθ=3/5, find tanθ
Answer and step-by-step explanation:
cos = adj/hyp (in a right triangle)
cos0 = 3/5
adj = 3
hyp = 5
opp = sqrt( 5^2 - 3^2) = sqrt( 25-9) = sqrt(16) = 4 (Pythogorean theorem)
tan0 = opp/adj = 4/3
Answer:
[tex]\boxed {\boxed {\sf tan( \theta)=4/3}}[/tex]
Step-by-step explanation:
Cosine is equal to adjacent over hypotenuse.
cos(x)=adjacent/hypotenuseWe are given: cosθ=3/5
Therefore, the adjacent is 3 and the hypotenuse is 5.We want to find tanθ. Tangent is equal to opposite over adjacent.
We need to find the other leg of the triangle, which is the "opposite". Use Pythagorean Theorem.
[tex]a^2+b^2=c^2[/tex]
The hypotenuse (c) is 5.
[tex]a^2+b^2=5^2[/tex]
One leg (a) is 3, the other (b) is unknown.
[tex]3^2+b^2=5^2[/tex]
Evaluate all the exponents.
[tex]9+b^2=25[/tex]
Subtract 9 from both sides of the equation.
[tex]9-9+b^2=25-9[/tex]
[tex]b^2=16[/tex]
Take the square root of both sides.
[tex]\sqrt{b^2} =\sqrt{16}[/tex]
[tex]b=4[/tex]
Now we know the "opposite" is 4. We can find the tangent now.
[tex]tan(x)=opposite/adjacent[/tex] (opposite=4, adjacent=3)
[tex]tan( \theta)=4/3[/tex]
The tangent of theta is 4/3
there are 18 people at the party. some are boys and some are girls. the number of boys is the same as the number of girls
Answer:
9 boys 9 girls
Step-by-step explanation:
18 = 2x
9
Which equation represents a line that is parallel to the line whose equation is y=-3x?
A) 4x+2y=5
B) 2x+4y=1
C) y=3-4x
D) y=4x-2
A student walks from her house to her school. The graph shows her distance, in miles, from the school over the time in minutes, of her walk. What does the x-intercept represent in context?
ANSWER:
distance when starting her walk/ when time is 0
Step-by-step explanation:
y axis will be distance and x intercept is the point where y is 0
so represents when distance is 0.
Answer:
the time it takes to walk from her house to school
Step-by-step explanation:
Equations and Graphs of Rational Functions Precalculus 12
A car can travel 450 km in the same time it takes a train to travel 350 km. The car's average speed is 20 km/h faster than the average speed of the train. What is the average speed of the car? Give your answer to two decimal places.
I would just like help with figuring out the right equation for this word problem, because I cannot figure this out.
Answer:
The average speed of the car is 90 km/h
Step-by-step explanation:
The rule of the distance id D = v × t, where
v is the speedt is the time∵ A car can travel 450 km in the same time it takes a train to travel
350 km
→ That means the time of them are equals
∴ Time of the car = Time of the train
→ From the rule above t = [tex]\frac{D}{v}[/tex]
∵ D(car) = 450 km and D(train) = 350 km
∵ The car's average speed is 20 km/h faster than the average speed
of the train
→ Assume that the average speed of the train is x km/h
∴ v(train) = x km/h and v(car) = (x + 20) km/h
→ Use the rule of the time above to find the time of each one
∵ t(car) = [tex]\frac{450}{(x+20)}[/tex]
∵ t(train) = [tex]\frac{350}{x}[/tex]
∵ t(car) = t(train)
∴ [tex]\frac{450}{(x+20)}[/tex] = [tex]\frac{350}{x}[/tex]
→ By using cross multiplication
∵ 450 × x = 350 × (x + 20)
∴ 450x = 350(x) + 350(20)
∴ 450x = 350x + 7000
→ Subtract 350x from both sides
∴ 100x = 7000
→ Divide both sides by 100 to find x
∴ x = 70
∵ x represents the average speed of the train
∴ The average speed of the train = 70 km/h
∵ The average speed of the car = x + 20
∴ The average speed of the car = 70 + 20
∴ The average speed of the car = 90 km/h
Factorise fully the following 2x+8
A fair die is tossed 6 times. Find the probability that
(a) 1 “one”, 2 “twos” and 3 “threes” will turn up,
(b) each side will turn up once.
Answer:
Step-by-step explanation:
hi
Answer:
B
Step-by-step explanation:
1
x = (5 + 1-271) - 1-41. Solve for x.
x = 307. Hope that helped :)
how do i solve this question 2x-14=4(p+5) ? all ik it that i have to distribute first.
Answer:
x=(4p+34)/2
p=(2x-34)/4
Step-by-step explanation:
2x-14=4(p+5)
2x-14=4p+20
2x=4p+34
If you are solving for x, it would be:
2x/2=4p+34/2
x=(4p+34)/2
If you are olving for p, it would be:
2x-34=4p
Divide 4 from both sides:
(2x-34)/4=p or p=(2x-34)/4
PLEASE HELP ME QUICK!!A train moves at a constant speed of 8 miles every 6 minutes. Fill in the table below to show how far the train travels according to different
amounts of time.
Answer:
1. 4
2. 20
3. 80
Step-by-step explanation:
1/3 exponent 4??? pls help immediately
2.5 divided by 1.5 round to nearest tenth
Answer:
1.7
Step-by-step explanation:
2.5÷1.5
5/3
1.66666
1.7
The divisions of 2.5 divided by 1.5 gives to 5/3 or 1.6667.
What is Division?One of the four fundamental mathematical operations, along with addition, subtraction, and multiplication, is division. Division is the process of dividing a larger group into smaller groups so that each group contains an equal number of things.
Given:
2.5 divided by 1.5
So, 2.5 / 1.5
= 25 x 10 / 15 x 10
= 25/15
= 5 x 5 / 5 x 3
= 5/3
Hence, the divisions results to 5/3 or 1.6667
Learn more about Division here:
https://brainly.com/question/21416852
#SPJ2
X^3 = 1000 for math please help
Answer:
x=10
Step-by-step explanation:
since there are 3 zeroes in 1,000
x is 10
because 10^3=1000
Answer:
10
Step-by-step explanation:
Help for mon pls I’ll make you famous
Answer:
1. x>-1
2. x<4
3. x<-1
4. x>-2
5. x<-3
6. x<7
Step-by-step explanation:
1. 2x>-2 Divide both sides by 2.
/2 /2
x>-1
2. 4x<16 Divide both sides by 4.
/4 /4
x<4
3. x+4<3 Subtract both sides by 4.
-4 -4
x<-1
4. 5x>-10 Divide both sides by 5.
/5 /5
x>-2
5. 3x<-9 Divide both sides by 3.
/3 /3
x<-3
6. x-4<3 Add 4 to both sides.
+4 +4
x<7
Hope this helps you out...next time, try to figure it out yourself without asking a lot of questions. By looking at one example, you can probably apply what to do for the other inequalities.
How do you know which standardized test statistics you will use? A Z or T?
Answer:
If you're taking the AP Statistics test, you'll need to know the general formula for a standardized test statistic. Standardized test statistics are used in hypothesis testing. The general formula formula is: Standardized test statistic: (statistic-parameter)/(standard deviation of the statistic).
Step-by-step explanation:
Answer:
Standardized test statistics are used in hypothesis testing. The general formula formula is: Standardized test statistic: (statistic-parameter)/(standard deviation of the statistic).
5 points
12. A man drove 350 miles in 4.5 hours. If the posted speed limit was 65
mph (miles per hour) the entire way, approximately how many miles per
hour over the speed limit was he going?*
O 1 mph
O 5 mph
O 13 mph
O 78 mph
Answer: 13
Step-by-step explanation:
if y is 20 when x is 5 find x when y is 60
Answer:
15
Step-by-step explanation:
If y is 20 when x is 5 then x is always 1/4 of y
60*(1/4)=15
what is the slope of the graph in the picture
pls help it's closing in 40 minutes
pls explain how you got the answer
Answer:
-2
or
-2/1
Explanation:
**Slope = rise/run**
By counting the distance between the points, from (0,3) to (1,1) , it went down 2 units and right by 1 unit
Answer:
m= -2
Step-by-step explanation:
Pick two points and subtract the y coordinates, then subtract the x coordinates, (0,3) and (1,1) or (1,1) and (2,-1)
[tex]m = \frac{y_{2_ } - y_{1} }{x_{2} -x_{1} } = \frac{1-3}{1-0} = \frac{-2}{1} = -2[/tex] [tex]\frac{-1-1}{2-1} = \frac{-2}{1} = -2[/tex]
Which of these triangle pairs can be mapped to each other using a translation and a rotation about point A?
Answer:
D would be the actual answer.
Step-by-step explanation:
Cara's new car holds 13.5 gallons of gas. If gas costs $2.98 per gallon, how much would it
cost her to fill the gas tank from empty?
Submit
O
Lenovo
Answer:
$40.23
Step-by-step explanation:
Answer:
40.23
Step-by-step explanation:
easy just do 13.5*2.98
Angle A measures 4x + 40 degrees and angle B measures x – 10
degrees. If angles A and B are complementary, what is the
measure of angle B?
Answer:
2°
Step-by-step explanation:
Since, angles A and B are complementary.
Therefore,
[tex] m\angle A + m\angle B = 90\degree \\\\
(4x +40)\degree + (x-10)\degree = 90\degree \\\\
(4x+x +40-10)\degree = 90\degree \\\\
(5x +30)\degree = 90\degree \\\\
5x + 30= 90\\\\
5x = 90 - 30\\\\
5x = 60\\\\
x = \frac{60}{5}\\\\
x = 12\\\\
m\angle B = (x-10)\degree \\\\
m\angle B = (112-10)\degree \\\\
m\angle B = 2\degree \\\\[/tex]