Answers
Answer:
2h
Step-by-step explanation:
f(3 + h) = 2(3 + h)^2 + 1
= 2(3^2 + h^2) + 1
= 2(9) + 2h^2 + 1
= 18 + 2h^2 + 1
= 2h^2 + 19
f(3) = 2(3)^2 + 1
= 2(9) + 1
= 18 + 1
= 19
2h^2 + 19 - 19 / h
2h^2 / h
2h
Related Questions
A tank contains 1000L of pure water. Brine that contains 0.04kg of salt per liter enters the tank at a rate of 5L/min. Also, brine that contains 0.06kg of salt per liter enters the tank at a rate of 10L/min. The solution is kept thoroughly mixed and drains from the tank at a rate of 15L/min.
1. How much salt is in the tank after t minutes?
2. How much salt is in the tank after 60 minutes?
Answers
Answer:
1) x = [ - (12/1000)* e∧ ( - 15/1000)*t + 12/1000 ] /e∧ - (15/1000)*t
2) x = - 0,012 * ( e ∧ 0.18 + 0,012 ) / e∧-0,18
Step-by-step explanation:
1.-Quantity of salt in the tank after t minutes
The rate of change of the quantity of salt in the tank is:
dx(t) /dt = original quantity (0) + input quantity - output quantity (1)
quantity = concentration* rate Then
input quantity = 0.04 Kg/lt * 5 Lt/min + 0.06 Kg/lt * 10Lt/min = 0.2 Kg/min
+ 0.6 Kg/min = 0,8 Kg/lt
output quantity = Output concentration * rate of draining
rate of draining = 15 Lt/min
The input quantity and the output quantity occur at the same rate therefore the volume in the tank is constant 1000Lt.
output quantity = (x/1000 )*15
Plugging these values in equation (1) we get.
dx/dt = 0,8 - ( x/1000)* 15
The last one is a differential first-order equation like
x´ + P(t)*x = q(t)
and the solution is:
x*μ = ∫ q(t)*μ*dt + C
where μ is the integration factor e ∧ ∫p(t)*dt
let´s call b = -15/1000
μ = e ∧ ∫p(t)*dt = e∧∫ b*dt = e∧ b*t = e∧ ( -15/1000)*t
μ = e∧ - (15/1000)*t
Then x*μ = x * e∧ - (15/1000)*t
∫ q(t)*μ*dt = ∫ 0.8 * e∧ - (15/1000)*t*dt = 0.8 * ∫ e∧bt * dt
∫ q(t)*μ*dt = 0.8 * ( 1/b ) e∧bt = - 0,8 *( 15/1000) * e∧ ( - 15/1000)*t
∫ q(t)*μ*dt = - (12/1000)* e∧ ( - 15/1000)*t
x * e∧ - (15/1000)*t = - (12/1000)* e∧ ( - 15/1000)*t + C
Initial condition t = 0 x = 0
0 = - (12 / 1000 )* e⁰ = C
C = 12/1000
x * e∧ - (15/1000)*t = - (12/1000)* e∧ ( - 15/1000)*t + 12/1000
x = [ - (12/1000)* e∧ ( - 15/1000)*t + 12/1000 ] /e∧ - (15/1000)*t
When t = 60 min
x = [ - (12/1000)* e∧ ( - 15/1000)*12 + 12/1000 ] / e∧ - (15/1000) * 12
x = - 0,012 * ( e ∧ 0.18 + 0,012 ) / e∧-0,18
please help
Yaritza finds some nickels and pennies in her change purse. How many coins does she have if she has 140 nickels and 130 pennies? How many coins does she have if she has
n
n nickels and
p
p pennies?
Total coins, 140 nickels and 130 pennies: 270
Total coins,
n
n nickels and
p
p pennies:
Submit Answer
Answers
Answer:
270 coins
n + p
Step-by-step explanation:
Given that :
Number of nickels = 140
Number of pennies = 130
The total numbers coins had:
Number of Nickel + number of pennies
140 + 130 = 270 coins
If Number of nickels = n ; number of pennies = p
The total number of coins :
Number of Nickel + number of pennies
n + p
14. If I share 123 sweets equally among amongst 7 children, how many sweets will each child get?
……………………………………..
15. One soccer ball costs $4.50. How much will the soccer will balls in the picture cost?
16 is not part
Answers
Answer:
1) divide 123/7 and get the answer
2) multiply 7 by 4.50 and get the answer
Step-by-step explanation:
Help me pleaseeeeeeeeeeeeeeeeeee
Answers
Answer:
Always a parabola or U Shaped
U shaped or by rotating U it will be like intersect symbol.. You can see it in attached file
A.Calculate the mean,median and mode.(3 points each) 1.)1,2,3,4,5 2.)2,3,4,5,6,6 3.)6,7,5,4,5,6,2,5
Answers
Answer:
Step-by-step explanation:
1.)1,2,3,4,5
mean=sum of all values/number of values
=1+2+3+4+5/5
=15/5
mean=3
Mode :
In the given data, no observation occurs more than once.
Hence the mode of the observations does not exist, means mode=0.
Median
1,2,3,4,5
Middle value is 3 so the median is 3.
2.)2,3,4,5,6,6
mean=sum of all values/number of values
=2+3+4+5+6+6/6
=26/6
mean =4.33
Mode
is that value of the observation which occurs maximum number of times so here mode is 6.
Median
2,3,4,5,6,6
4+5/2
9/2
median=4.5
3.)6,7,5,4,5,6,2,5
mean=sum of all values/number of values
=6+7+5+4+5+6+2+5/8
=40/8
mean =5
Mode
is that value of the observation which occurs maximum number of times so here mode is 5
Median
2,4,5,5,5,6,6,7
5+5/2
10/2
median=5
Help help help help help
Answers
Answer:yo we talking the same test
Step-by-step explanation:
Insta= santiagorez
Answer:
Radius , r = 5 units
Step-by-step explanation:
The standard form of a circle's equation:
[tex](x-a)^2 + (y -b)^2 = r^2 \ , \ where \ (a , b) \ is \ the \ centre\ and\ r \ is \ the \ radius.[/tex]
Given equation :
[tex]x^2 - 2x + y^ 2- 4y = 20\\\\[/tex]
Find radius .
Convert the given equation into standard form.
[tex](x - 1)^2 = x^ 2 - 2x + 1 \\\\(y - 2) ^2 = y^ 2 - 4y + 4\\\\[/tex]
Now add both equations :
[tex](x - 1)^2 + (y - 2)^2 = r^2[/tex]
[tex](x ^ 2 - 2x + 1) + (y^2 - 4y + 4 ) = r^2\\\\(x^2 -2x + y^2 - 4y ) + 1 + 4 = r^2\\\\20 + 1 + 4 = r^2[/tex] [tex][ \ given : \ x^2 - 2x + y^ 2 - 4y = 20 \ ][/tex]
[tex]25 = r^2 \\\\5 = r[/tex]
Review the graph.
On a coordinate plane, a circle has center (1, 0) and radius 5. Another circle has center (0, negative 4) and radius 4. Everything inside the second circle and between the first circle is shaded.
Which system of inequalities has the solution set shown in the graph?
25 < (x – 1)2 + y2 and 16 > x2 + (y + 4)2
25 > (x – 1)2 + y2 and 16 > x2 + (y + 4)2
25 < (x – 1)2 + y2 and 16 < x2 + (y + 4)2
25 > (x – 1)2 + y2 and 16 < x2 + (y + 4)2
Answers
Answer:
second option
Step-by-step explanation:
[tex]shaded~area\\(x-1)^2+y^2<25\\and\\(x+4)^2+y^2<16[/tex]
Answer:
A
Step-by-step explanation:
edge
not sure if this is the right question so i dont know if we're thinking about the same question...
The perimeter of the figure below is 41.6 in. Find the length of the missing side. (Note: diagram is NOT to scale)
Answers
Answer:
[tex]{ \tt{let \: that \: unknown\: side \: be \: x}} \\ { \boxed{ \tt{perimeter = (8 \times side)}}} \\ 41.6 = (3.2 \times 2) + (5.9 \times 5) + x \\ x = 5.7 \:in \\ { \bf{answer : 5.7 \: inches}} \\ \\ { \underline{ \blue{ \tt{becker \: jnr}}}}[/tex]
Alla and Balla together drink 750 milliliters (ml) of water. If Alla drinks 50% more than
Balla, how much does Alla drink?
Answers
Answer:
Step-by-step explanation:
A + B = 750
A = 1.5 B
~~~~~~~~~~~~~~
750-B = 1.5 B
750 = 1.5 B + B
750 = B(1.5 +1)
750 = B (2.5)
B = 300
A = 450
Solve for x.
1)
15x - 5
13x + 9
A) 6
C) 9
B) 3
D) 7
Answers
Answer:
D) 7
Step-by-step explanation:
Vertical pair meaning that the two angles are congruent meaning that they are equal to each other. So 15x-5=13x+9. Subtract 13x to get 2x-5+9. Then ad five to each side to get 2x=14 and divide each side by 2 to get x equals 7. Hope I helped and post more questions :)
A set of data items is normally distributed with a mean of 400 and a standard deviation of 60. Find the data item in this distribution that corresponds to the following z-score:
z=3
Answers
Answer:
The data item is [tex]X = 580[/tex]
Step-by-step explanation:
Normal Probability Distribution:
Problems of normal distributions can be solved using the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.
Mean of 400 and a standard deviation of 60.
This means that [tex]\mu = 400, \sigma = 60[/tex]
z=3
We have to find X when Z = 3. So
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]3 = \frac{X - 400}{60}[/tex]
[tex]X - 400 = 3*60[/tex]
[tex]X = 580[/tex]
The data item is [tex]X = 580[/tex]
8)
8x + 6
14x - 2
A) 11
C) 8
B) -9
D) -7
Answers
Answer:
C) 8
Step-by-step explanation:
Consecutive angles are equal to 180. So 22x+4+180. Solve that to get x=8. Hope I helped and post more questions :)
PLEASE HELP!!
Jo measures the length of a rope and records her measurement correct to the nearest ten centimetres.
The upper bound for her measurement is 12.35 m.
Write down the measurement she records.
Answers
Answer:
1230 cm
Step-by-step explanation:
convert metres to centimetres.
the answer must be less than upper bound.
[tex]1225 \leqslant 1230 < 1235[/tex]
Find the midpoint of the line segment.
Answers
Answer:
-2,-3
Step-by-step explanation:
The probability of spinning blue on a spinner is 0.3. If the spinner is spun 40 times, estimate how many times you would spin blue. A 3-sided sninner is snun 10 time 1
Answers
Answer:
12 times.
Step-by-step explanation:
That would be 40 * 0.3 = 12.
which of the following is a geometric sequence?
Answers
Answer:
The right answer is a.
Step-by-step explanation:
PLEASE MARK ME AS A BRAINLIEST
Which line is a linear model for the data?
Please Please help me
Answers
Answer:
Top left graph
General Formulas and Concepts:
Statistics
Scatter PlotsBest Line of FitStep-by-step explanation:
The best linear model for the data would be the best line of fit for the data. We can eliminate the rightmost graphs as they have no correlation with the data.
Between the leftmost graphs, we can see that the top left graph would be choice as it encompasses most of the data/is more of the data's average than the bottom one.
The system of equations Y equals -1/5 X -6 and Y equals negative 2X +3 is shown on the graph below
Answers
Answer:
The solution of the system is (5, -7)
Step-by-step explanation:
Here we have the system:
y = (-1/5)*x - 6
y = -2*x + 3
We know that this system is graphed below, and the question is incomplete, but I assume that we want to find the solution to this system. If you can see the graph, the solution is just the point where both graphs intersect, but we can find the solution analytically.
We know that:
y = (-1/5)*x - 6
y = -2*x + 3
Then, we can write:
y = (-1/5)*x - 6 = y = -2*x + 3
This leads to:
(-1/5)*x - 6 = -2*x + 3
Now we can solve this for x.
(-1/5)*x + 2*x = 3 + 6
(-1/5)*x + (10/5)*x = 9
(9/5)*x = 9
x = (5/9)*9 = 5
x = 5
now that we know the value of x, we can input this in one of the two equations above to find the correspondent value of y, we will get:
y = -2*x + 3 = -2*5 + 3
y = -10 + 3 = -7
y = -7
Then the solution is:
x = 5 and y = -7, or (5, -7)
What is a cubic function
Answers
Answer:
In mathematics, a cubic function is a function of the form f(x)=ax^3+bx^2+cx+d where the coefficients a, b, c, and d are real numbers, and the variable x takes real values, and a ≠ 0. In other words, it is both a polynomial function of degree three, and a real function.
Is it true or false that for all sets A, B, and C, A U (B - C) = (A U B) - C?
Answers
Answer:yes
Step-by-step explanation:66
The given statement A U (B - C) = (A U B) - C is true.
What is a set ?A set is collection of well defined objects.
According to the given question we have to state whether A ∪ ( B - C ) = ( A ∪ B ) - C.
Lets consider we have three sets A, B and C and we also consider they intersect each other.
( B - C ) represents the elements which belongs to B but not in C.
∴ A ∪ ( B - C ) represents the no. of elements which belongs to the set B but not in C union the no. of elements which belongs to A.
AND
( A ∪ B ) - C represents no. of elements which belongs to A or B but not in C.
learn more about sets here :
https://brainly.com/question/8053622
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…aniwwjwwjaoqkqwgahw qjauaaj
Answers
Answer:
Undefined
Step-by-step explanation:
Lim x - - > 1(1 /In(2-x) + 1/(x-1))
To find the limit as x tends to 1
Substitute x = 1 into the function ;
(1 / In(2 - 1) + 1 / (1 - 1))
(1 / In 1) + (1 / 0)
1 / 0 + 1 / 0
Undefined
find the equation of the line shown
y =6 x=4
Answers
y - 6 = 0 ................ equation 1
x - 4 = 0 ................ equation 2
if someone could help me i would aprshh
Answers
Answer:
Slope: -5/4
Step-by-step explanation:
Use slope (m) formula:
m = y2 - y1 / x2 - x1
m = 5 - 10 / 49 - 45
m = -5/4
Answer:
[tex]-\frac{5}{4}[/tex]
Step-by-step explanation:
Hi there!
Equation for the slope:
[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex] where two given points are [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex]
To find the slope of the line, plug in any two points given in the table. For example, we can use the points (49,5) and (53,0):
[tex]=\frac{5-0}{49-53}\\=\frac{5}{-4}[/tex]
Therefore, the slope of the line is [tex]-\frac{5}{4}[/tex].
I hope this helps!
MAKE SURE YOU ARE RIGHT ANSWER PLEASE I WILL PUT THE BRAINIEST ANSWER
FIND THE VOLUME OF THE SPHERE
Answers
Step-by-step explanation:
Formula:- 4/3*Pi*r^3
= 4/3*22/7*(1/2)^3
Please mark me as brainliest
Using the table of ordered pairs, which equation shows the linear relationship between the x and y values?
---- ----
x|y
-2|2
1|5
3|7
---- ----
A. y = x + 4
B. y = -x
C. y = x - 4
D. y = 4 - x
Answers
Answer:
y = x + 4
Step-by-step explanation:
y = mx + b (m = slope; b = y-intercept)
I used 2 points (-2 , 2) and (1 , 5) to calculate the slope of the line
m= (y₂ - y₁)/(x₂ - x₁)
(5-2)/(1--2) = 3/3= 1
y = 1x + b
using point (1, 5)
5 = 1(1) + b
5 = 1 + b
b = 5-1
b=4
y= 1x + 4 or simply y= x + 4
Answer:
A y = x + 4
yeh i did the test
Step-by-step explanation:
A 64-inch board is cut into three pieces so that the second piece is twice as long as the first piece, and the third
piece is 5 times as long as the first piece. Find the length of the longest piece.
Answers
==========================================================
Explanation:
x = first piece2x = second piece, since its twice as long as the first5x = third piece, since its five time as long as the firstx is some positive real number, and the units of each are in inches.
Add up the smaller pieces and we should get 64 inches back again
x+2x+5x = 64
8x = 64
x = 64/8
x = 8
The first piece is 8 inches long.
2x = 2*8 = 16 is the length of the second piece (in inches)
The third piece is 40 inches because 5x = 5*8 = 40
--------
Summary:
first = 8 inches
second = 16 inches
third = 40 inches
Check: 8+16+40 = 64, which confirms the answer
If the circumference of the circle is 88 cm, then its radius is 14 cm.
true or false?
Answers
Answer:
The radius is approximately 14 cm
Step-by-step explanation:
The circumference
C = 2 * pi *r
88 = 2 * pi *r
Divide by 2
44 = 3.14 *r
Divide by 3.14
44/3.14 = r
14.01273885=r
88/2= 44
Which angles are vertical?
∠PKO and ∠MKN
∠LKM and ∠MKN
∠PKO and ∠PKL
∠MKN and ∠OKN
Answers
Answer:
Step-by-step explanation:
Answer: ∠PKO and ∠MKN
Explanation: Angles that are opposite each other when two lines intersect each other are vertical angles.
The correct answer is ∠PKO and ∠MKN. These angles are vertical angles because they are opposite each other when lines PK and KM intersect.
The angles that are vertical are angles that are opposite each other when two lines intersect. In the given options, ∠PKO and ∠MKN are vertical angles because they are opposite each other when lines PK and KM intersect.
To understand why these angles are vertical, let's look at the lines PK and KM intersecting at point K. When two lines intersect, they form four angles around the point of intersection.
In this case, we have ∠PKO, ∠MKN, ∠OKN, and ∠PKL. Now, let's focus on ∠PKO and ∠MKN. These angles are opposite each other when lines PK and KM intersect at point K.
In other words, if you extend lines PK and KM, ∠PKO and ∠MKN are on opposite sides of the intersection point K. On the other hand, ∠LKM and ∠PKL are not vertical angles because they are not opposite each other when lines PK and KM intersect.
Similarly, ∠MKN and ∠OKN are not vertical angles because they are not opposite each other when lines PK and KM intersect. Therefore, the correct answer is ∠PKO and ∠MKN. These angles are vertical angles because they are opposite each other when lines PK and KM intersect.
To Know more about angles here
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How would this quadrilateral be best classified, and what is the measure of Angle B?
Answers
Answer:
The quadrilateral is Rhombus
B=70°
Step-by-step explanation:
110+110+z+z=360
220+2z=360
2z=360-220
2z=140
z=140/2
Therefore, z=70
So Angle B=70
Since z= Angle B=Angle D
holaaaaaaaaaaaaaaaaa plz help i need this quick :)
Quadrilateral ARMY is rotated 90 degrees about the origin. Draw the image of this rotation.
Answers
Answer:
Step-by-step explanation:
If a point (x, y) is rotated 90° counterclockwise about the origin, rule for the rotation will be,
(x, y) → (-y, x)
Therefore, coordinates of the image point after the rotation will be (-y, x).
Following this rule,
Image points of the quadrilateral will be,
A(3, 3) → A'(-3, 3)
R(5, 7) → R'(-7, 5)
M(7, 5) → M'(-5, 7)
Y(5, 1) → Y'(-1, 5)
By graphing the image points we can get the graph of the image quadrilateral A'R'M'Y'.
Answer:
I got my answer on Khan Academy: