The equation of the tangent plane to the surface x=h(y,z) at the point (3,0,3) given that ∂h/∂y=−5 and ∂h/∂z=−3 is x = -5y -3z + 12.
Explanation:
In Mathematics, the equation for the tangent plane to a surface x = h(y,z) at a point can be determined by the following formula: x - x0 = ∂h/∂y(y - y0) + ∂h/∂z(z - z0). In your expression ∂h/∂y (derivatives of h with respect to y) is given as -5 and ∂h/∂z (derivatives of h with respect to z) is given as -3. By plugging the value of these derivatives and the point (3,0,3) into the formula, the equation of the tangent plane would be: x - 3 = -5(y - 0) - 3(z - 3).
After simplifying this, we'll get x = -5y -3z + 12. It's worth noting that derivation of the equation for a tangent plane to a parametrized surface relies heavily on partial derivatives and the study of multi-variable calculus.
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For each trial of a binomial experiment, there are two mutually exclusive outcomes:------------------------or------------
Answer:
The underlying assumptions of the binomial distribution are that there is only one outcome for each trial, that each trial has the same probability of success, and that each trial is mutually exclusive, or independent of each other.
Step-by-step explanation:
WILL GIVE BRAINLIEST
20 POINTS
Step-by-step explanation:
hope it helps you!!!!!!!!!!!
Answer:
x = - 3
Step-by-step explanation:
Given the 2 equations
y = [tex]\frac{1}{3}[/tex] x + 7 → (1)
y = 3x + 15 → (2)
Since both equations express y in terms of x, equate the right sides
3x + 15 = [tex]\frac{1}{3}[/tex] x + 7
Subtract [tex]\frac{1}{3}[/tex] x from both sides
[tex]\frac{8}{3}[/tex] x + 15 = 7 ( subtract 15 from both sides )
[tex]\frac{8}{3}[/tex] x = - 8 ( multiply both sides by 3 )
8x = - 24 ( divide both sides by 8 )
x = - 3
Six posts are evenly spaced along a circular wall encasing a fountain. Anna stands at point A, where she cannot see beyond the only two posts visible to her. What is m∠A m ∠ A ?
100°
120°
125°
150°
There are 6 points on a circle.
We have a sum of angles in a circle that is equal to 360°.
Anna can only see 2 points which is a third of a points there are.
That means her spectrum is 360°/3 which is 120°.
The answer is B. 120°.
Hope this helps.
Brainliest would be amazing.
Final answer:
When six posts are evenly spaced around a circle, they divide the circle into six equal sections of 60 degrees each. If Anna can see across two sections, the measure of angle A (m∠A) is 120 degrees.
Explanation:
In this question, we are asked to find the measure of angle A (m∠A) when six posts are evenly spaced along a circular wall. If six posts are evenly distributed around a circle, they divide the circle into six equal sections. Since a circle has 360 degrees, each section between two posts equals 360°/6 = 60°. When Anna stands at point A, she can see across two such sections, so to find the measure of angle A, we simply add the degrees of the two sections:
Measure of angle A (m∠A) = 60° + 60° = 120°
Therefore, the correct answer to the question is 120°, meaning Anna can see an angle of 120 degrees between the two posts that are visible to her from her standing point at A.
A bacteria culture begins with 13 bacteria which triple in amount at the end of every hour. How many bacteria are grown during the 10th hour?
Answer:
255,879
Geometric Sequence Formula
[tex]a_n = a1r^{(n-1)}\\\\a_1 :13\\\\r:3\\\\n:10\\[/tex]
Steps:
[tex]a_1_0=13 (3)^{(10-1)}\\\\a_1_0=13(3)^{(9)}\\\\a_1_0=(13)19683\\\\a_1_0=255,879[/tex]
Which of the sets of ordered pairs represents a function?
A = {(2, −2), (5, −5), (−2, 2), (−5, 5)}
B = {(4, 2), (4, −2), (9, 3), (9, −3)}
For something to be a function, the input (x value) can ONLY HAVE ONE output (y value), so if x has multiple outputs, it is not a function
B is not a function because x = 2 and x = 9 has 2 outputs
Your answer is A
Answer:
Step-by-step explanation:
A represents a function. Why? Because all the x-values are unique (no duplications).
B does not represent a function. Why? Because the input 4 is repeated and has different y-values for this one input, and similarly the input 9 is repeated.
need help now will mark brainlyst answer quick
Describe how to use unit pricing to decide which is the better buy between 5 lbs of chicken for $14.95 or 8 lbs for $23.36.
Answer:
The 8 lbs for 23.36
Step-by-step explanation:
First you divide the total cost by how many lbs
This will provide you with the cost per pound to get your answer
14.95 / 5 = 2.99 or $2.99 a pound
23.36 / 8 = 2.92 or $2.92 a pound
Therefore it is better to but the 8 lbs for 23.36
Answer:
All you have to do is divide 14.95 by 5 and divide 23.36 by 8.
Step-by-step explanation:
the first option is 2.99 per pound,
the second is 2.92 so the second choice is the better option.
PLZ brainliest!!
Express the following relationship as a rate. Washing 24 cars in 4 hours
A.) 4 cars per minute
B.) 8 cars per hour
C.) 6 cars per minute
D.) 6 cars per hour
Answer:
D.) 6 cars per hour
Step-by-step explanation:
6 cars washed on each our which we got 4 hours
Multiply it 6 x 4= 24
Answer:
D.) 6 cars per hour
Step-by-step explanation:
The tech ed teacher needs to cut boards for the 6th grade propeller project that are 3/4 feet long.How many propellers can he get out of a board that is 1/2 feet long.
Answer:
zero
Step-by-step explanation:
1/2 feet is less than 3/4 feet, so is insufficient length for even one propeller. No propellers can be cut from the board.
Find a logarithmic function to model the data.
x y
1 60
2 54
3 51
4 50
5 46
6 45
7 44
f(x) = 60.73(0.95)x Please help:(
f(x) = 0.93(60.73)x
f(x) = 60.04 – 8.25 ln x
f(x) = 8.25 – 60.04 ln x
Answer:
f(x) = 60.04 – 8.25 ln x
Step-by-step explanation:
A suitable calculator can find the regression formula coefficients for you.
f(x) = 60.04 – 8.25 ln(x)
_____
The attachment shows the calculator's computation of the model parameters (a₁ and b₁), and is also shows how these parameters might be calculated by hand (a₂ and b₂). The manual calculation involves taking the logarithms of the x-values and computing various means involving those and the y-values. These calculations are easily done on a graphing calculator or spreadsheet, but such a device will also likely be able to compute the regression equation for you.
_____
Comment on answer choices
You can eliminate the first two answer selections because these are not formulas that are logarithmic functions. You can eliminate the last choice because it models values near 8, not near 60. Thus, you can choose the correct answer without knowing much about how to make a logarithmic model.
A rectangular prism has a volume of 175 cubed inches. The height of the prism is 7 inches. The base is a square. What is the length of a side of the base?
Answer:
The length of a side of the base is [tex]5\ in[/tex]
Step-by-step explanation:
we know that
The volume of a rectangular prism is equal to
[tex]V=Bh[/tex]
where
B is the area of the base of the prism
h is the height of the prism
we have
[tex]V=175\ in^{3}[/tex]
[tex]h=7\ in[/tex]
Substitute the values and solve for B
[tex]175=B(7)[/tex]
[tex]B=175/(7)[/tex]
[tex]B=25\ in^{2}[/tex]
Remember that the base is a square
so
[tex]25=b^{2}[/tex]
[tex]b=5\ in[/tex]
Determine the reactions at the supports of the beam which is loaded as shown.
As shown... where? I have no idea what you are talking about or referencing to.
The question pertains to engineering, specifically, the equilibrium of beams and structures in statics. Analyzing the forces and torques using equilibrium conditions enables us to determine the support reactions of these structures.
Explanation:The question involves determining the reactions at the supports of different structures, which is a common problem in statics, a branch of engineering mechanics. This type of problem is typically solved using the principles of equilibrium, where the sum of forces and the sum of moments (torques) about any point must be zero. For beams, bridges, and other structures, the following steps are generally taken:
Determine the support reactions by applying the conditions for equilibrium: the sum of vertical forces, sum of horizontal forces, and sum of moments (about a point) must each equal zero.In cases of structures such as doors, we resolve the forces into their component parts (e.g., Ax, Ay, Bx, By) and use the equilibrium conditions to solve the unknowns.For objects like a meter stick with multiple forces acting upon it, including weights and support reactions, the pivot point is selected, and the equilibrium conditions are again applied.Working through these problems requires a systematic approach and the application of physics and engineering principles to find the forces and torques on the system.
A computer room has 12 computers. The room is open for 4 hours each day. 25 students sigh up for computer time. Each student gets the same number of minutes. What is the graetest whole number of minutes each student can get?
Answer:
155 minutes
Step-by-step explanation:
1. Find the total available "computer time": 4 hours * 12 computers= 48 hours
2. Split this among all of the students: 48 hours/25 students= 1.92 hours
3. Convert to minutes: 1.92 hr/student * 60 minutes ≈ 155 minutes/student
What is the first step to take when solving this linear system of equations by the addition-subtraction method? 2x + 4y = 3 x + 3y =13 A) solve for y in terms of x B) solve for x in terms of y C) multiply the first equation by ?2 D) multiply the second equation by ?2
Answer:c
Step-by-step explanation:
Answer:
D
Step-by-step explanation:
multiply the second equation by −2
In the addition-subtraction method, the two equations in the system are added or subtracted to create a new equation in one variable. In order for the new equation to have only one variable, the other variable must cancel out.
multiply the second equation by −2:
2x + 4y = 4
−2x − 6y = −26
→ −2y = −22
I need help with these 2 questions on geometry PLEASE!!
Answer:
13. 26
14. The answer is 71
Sabrina threw a coin from a building 160ft high at an initial speed of 30 feet per second. How many seconds will it take for the coin to hit the ground?
Hope I get an answer with solutions! :))
Answer:
4.2
Step-by-step explanation:
The equation i used was -16t^2+30x+160
You pick two marbles from a bag and record their color. How can you make your selections independent events? Dependent events?
A. Do not replace marbles after picking them; do replace marbles.
B. Replace marbles after picking them; do not replace marbles.
a do not replace marbles after picking them;do replace marles
For independent events in probability, you should replace the marbles after picking them, as this keeps the likelihood of each draw the same. For dependent events, do not replace the marbles after picking them, as each draw influences the subsequent draws.
Explanation:The concept being discussed here is that of independent and dependent events in probability. When selecting marbles from a bag, the nature of the event (whether it is independent or dependent) depends on whether the marble is replaced after being selected or not.
To make your selections independent events, you should replace the marbles after picking them. This assumes that each event (the selection of a marble) does not affect the outcome of the other events. For example, if you picked a blue marble first and replaced it, the likelihood of picking a blue marble on the second draw remains the same.
On the other hand, to create dependent events, you should not replace the marbles after picking them. The outcome of the first event (e.g., removing a blue marble) directly influences the probability of the next event, because there is now one less blue marble in the bag to choose from.
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What type of angle is formed when the radius and a tangent intersect at the points of tangency?
A. Right
B. Straight
C. Obtuse
D. Reflex
ANSWER
A. Right
EXPLANATION
A tangent to a circle touches the circle at only one point.
The point where a tangent and a radius meet at is called the point of tangency.
The tangent to a circle meets the radius of a circle at a right angle.
This is because the angle between the tangent and the radius of the circle is 90°
The correct answer is A.
Final answer:
When a radius and a tangent intersect at the point of tangency, they form a right angle. This fact is part of basic geometric principles covered in high school mathematics.
Explanation:
The type of angle formed when the radius of a circle and a tangent intersect at the point of tangency is a right angle. This geometric principle is a result of the fact that a tangent to a circle is perpendicular to the radius at the point of tangency. This concept falls within the branch of mathematics known as geometry, which is a crucial topic in high school math education.
what are solutions to this equation, x^2 + 3x -4 >0
Answer:
Solution of equation :-
x = 1 or x = -4
Step-by-step explanation:
The given quadratic equation is x² + 3x - 4 = 0
To find the solution
Using splitting method
x² - x + 4x - 4 = 0
x(x - 1) + 4(x - 1) = 0 (take x and 4 as common)
(x - 1)(x + 4) = 0
(x - 1) = 0 or (x + 4)= 0
If x - 1 = 0 then x = 1
If x + 4 = 0 then x = -4
Find the solution set of this system:
y=−3x
x2−4=y
(4,12), (−1,3)
(−1,−3) only
(4,12) only
(−4,12), (1,−3)
Answer:
(−4, 12), (1, −3)
Step-by-step explanation:
y = −3x
x^2 −4 = y
so
x^2 −4 = −3x
x^2 + 3x - 4 = 0
(x + 4)(x - 1) = 0
x + 4 = 0; x = -4
x - 1 = 0; x = 1
when x = 1, y = -3(1) = -3
when x = -4, y = -3(-4) = 12
Answer
(-4 , 12), (1 , -3)
ANSWER
(−4,12), (1,−3)
EXPLANATION
The system has equations:
y=−3x
[tex] {x}^{2} - 4 = y[/tex]
We equate the two equations to get:
[tex] {x}^{2} - 4 = - 3x[/tex]
[tex]{x}^{2} + 3x - 4 = 0[/tex]
[tex]{x}^{2} + 4x - x - 4 = 0[/tex]
[tex]x(x + 4) - 1(x + 4) = 0[/tex]
[tex](x + 4)(x - 1) = 0[/tex]
[tex]x = - 4 \: or \: x = 1[/tex]
When x=1,
y=-3(1)=-3
when x=-4, y=-3(-4)=12
The solution is (1,-3) and (-4,12)
What are the coordinates of the center of the ellipse shown below?
[tex]\frac{(x-7)^2}{4} + \frac{(y+3)^2}{16} = 1[/tex]
A. (-7,3)
B. (4,16)
C. (2,4)
D. (7,-3)
Answer:
Option D (7, -3)
Step-by-step explanation:
We know that the general equation of an ellipse has the form:
[tex]\frac{(x-h)^2}{a^2} + \frac{(y-k)^2}{b^2} = 1[/tex]
Where the point (h, k) are the coordinates of the center of the ellipse
In this case the equation of the ellipse is:
[tex]\frac{(x-7)^2}{4} + \frac{(y+3)^2}{16} = 1[/tex]
Then
[tex]h=7\\\\k = -3[/tex]
So The coordinates of the center of the ellipse are (7, -3)
Answer:
D. (7,-3)
Step-by-step explanation:
This equation is for vertical Ellipse;
For vertical Ellipse;
center of ellipse is given by (h,v)vertices for ellipse is given by (h, v ± a)co-vertices for the ellipse is given by (h ±b, v)where the equation is (x-h)²/b² + (y-v)²/a²
In this question;
h=7 and v= -3
center= (7,-3)
only 2 stuff to do .... :3
Tina designed an electric skateboard that has a speed of 4 miles per hour. She wants to write a function that represents the distance the skateboard will travel over a given amount of time.
Which is the dependent variable in this scenario?
the skateboard
the speed
the distance traveled
the time traveled
Answer:
the distance she travel
trust me
Answer:
doin this so other guy can get brainliest
Step-by-step explanation:
Find the first four iterates of the function f(x) = (x - 5)2 with an initial value of x0 = 4.
a.
4; 19; 645; 12,645
c.
1; 19; 645; 12,645
b.
1; 16; 121; 13,456
d.
4; 16; 121; 13,456
Please select the best answer from the choices provided
A
B
C
D
Answer:
b. 1; 16; 121; 13,456
Step-by-step explanation:
A suitable calculator or spreadsheet can compute these for you.
Put the value of x into the formula to find the first iterate. Repeat for successive iterates.
_____
Comment on the answer choices
You can eliminate the first two answer choices because none of the numbers 19, 645, 12645 are perfect squares. You can eliminate the last answer choice because the first term listed is x0, not x1.
what is 3053.63 rounded to the nearest hundredth?
3053.63 is already rounded to the nearest hundredth
After rounded to the nearest hundredth, then the number will be the same as 3053.63 because it is already rounded off.
What is rounding off number?Rounding is a method of converting a large number to a smaller, simpler number that is very near to the original. There are numerous methods for rounding numbers.
We have number:
= 3053.63
It has total 4 digits before the decimal.
After the decimal has only two digits
After rounded to the nearest hundredth, then the number will be the same as 3053.63 because it is already rounded off.
Thus, after rounded to the nearest hundredth, then the number will be the same as 3053.63 because it is already rounded off.
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The vertices of triangle EFG are listed below.
What is the approximate perimeter of triangle EFG?
A. 21.21 units
B. 12.21 units
C. 36.05 units
D. 12.16 units
Answer:
Option A. [tex]21.21\ units[/tex]
Step-by-step explanation:
we know that
The perimeter of a triangle is equal to the sum of its three side lengths
so
[tex]P=EF+FG+EG[/tex]
the formula to calculate the distance between two points is equal to
[tex]d=\sqrt{(y2-y1)^{2}+(x2-x1)^{2}}[/tex]
we have
[tex]E(5,4),F(9,1),G(5,-5)[/tex]
step 1
Find the distance EF
[tex]E(5,4),F(9,1)[/tex]
substitute in the formula
[tex]EF=\sqrt{(1-4)^{2}+(9-5)^{2}}[/tex]
[tex]EF=\sqrt{(-3)^{2}+(4)^{2}}[/tex]
[tex]EF=\sqrt{25}[/tex]
[tex]EF=5\ units[/tex]
step 2
Find the distance FG
[tex]F(9,1),G(5,-5)[/tex]
substitute in the formula
[tex]FG=\sqrt{(-5-1)^{2}+(5-9)^{2}}[/tex]
[tex]FG=\sqrt{(-6)^{2}+(-4)^{2}}[/tex]
[tex]FG=\sqrt{52}[/tex]
[tex]FG=7.21\ units[/tex]
step 3
Find the distance EG
[tex]E(5,4),G(5,-5)[/tex]
substitute in the formula
[tex]EG=\sqrt{(-5-4)^{2}+(5-5)^{2}}[/tex]
[tex]EG=\sqrt{(-9)^{2}+(0)^{2}}[/tex]
[tex]EG=\sqrt{81}[/tex]
[tex]EG=9\ units[/tex]
step 4
Find the perimeter
[tex]P=EF+FG+EG[/tex]
[tex]P=5+7.21+9=21.21\ units[/tex]
When you purchase an item in a store, you may be charged __________. Income tax capital gains tax sales tax property tax
Sales tax
At least 20 characters blahhhhh
Answer:
The answer is sales tax.
Step-by-step explanation:
When you purchase an item in a store, you may be charged sales tax.
A sales tax is imposed on the buyer, when he purchases something. This tax is imposed by the government on the sale of goods and services.
A typical sales tax is applied at the point of sale and collected by the retailer or seller and then passed on to the government.
Suppose you were designing a line graph that was going to be printed in Time magazine. Your editor has warned against misleading your audience in any way. What items will you try to avoid when creating your graph?
I would try to avoid unclear statements about the graph and make sure it's clear enough for audience. Also not to use items that bleed through paper.
Answer: Always avoid doing unnecessary things. like changing the zero or using logarithmic scale (and if you use them, mention it), if the graph contains more than one line, then use different colors or dots and label every line.
Also, comparative graphs should always be in the same scale.
Gabriella bought a pile of brick wall. Yesterday , she used 5/8 of the bricks. Tommrow she plans to use another 1/4 of the brick wall. what fraction of brick pile will she have left after tommrow
You could turn the 1/4 into 2/8 to make it have a common denominator. When you add 2/8 and 5/8 you’ll obviously get 7/8. She’ll only have 1/8 left.
Hoped this helped
The sum of all the digits used to write the whole numbers 10 through 13 is $1 + 0 + 1 + 1 + 1 + 2 + 1 + 3 = 10$. what is the sum of all the digits used to write the whole numbers 1 through 110, inclusive?
First get the sum of digits 0 through 9: 0+1+2+...+9=45. Call this sum S for short.
Then notice that the sum of the digits for 10 through 19 is the sum S + 10.
Then notice that the sum of digits 20 through 29 is S + 20, and do so until you hit 100. 100 through 109 is the same as 10 though 19 which you know is S + 10, and finally add the sum of digits of 110, i.e., 2.
Total = S + (S + 10) + (S + 20) + ... + (S + 90) + (S + 10) +2 =
= 11 * S + 10 * (S + 1) + 2 = 11 * 45 + 10 * 46 + 2 = 957
Answer:
957
Step-by-step explanation:
We first calculate the sum of all digits used to write the whole numbers 0 through 99. If we consider all such numbers as two-digit (e.g. write 04 instead of 4), the sum of digits will be unchanged. Then we see that each digit appears an equal number of times in the ones place, and similarly for the tens place, meaning it appears a total of $2\cdot \frac{100}{10} = 20$ times. Thus the sum of all digits used to write the whole numbers 00 through 99 is $20\cdot (0 + 1 +\cdots + 8 + 9) = 900$. The sum of the digits from 100 to 110 is just $(1 + 0) + (1 + 1) + (1 + 2) + \cdots + (1+9) + 2 = 57$. Thus our final answer is $900 + 57 = \boxed{957}$.
Which value is the best estimate for the correlation coefficient of the data set?
Answer: The answer is D -0.5
Step-by-step explanation:
First off you can cross out A and B because they are zero and a positive because the line has a negative slope. So that leaves you with C, D, and E. C is close to zero so the plot would be pretty scattered about. D is an in between answer because it isn’t quite a strong correlation or a weak one. Finally E is close to -1 so it is a strong correlation.
Answer: The answer is D -0.5
Step-by-step explanation:
First off you can cross out A and B because they are zero and a positive because the line has a negative slope. So that leaves you with C, D, and E. C is close to zero so the plot would be pretty scattered about. D is an in between answer because it isn’t quite a strong correlation or a weak one. Finally E is close to -1 so it is a strong correlation.
50 POINTS! WILL MARK BRAINLIEST :)
Answer:
Step-by-step explanation:
__________
Good evening ,
_______________
Here we used A and B properties
Look at the photo below for the explanation,
________
:)
Answer: 2 years ago
Step-by-step explanation: Thanks for the points