Answer:
Y=K×X...... equation
When,Y=8 and X=-5
To find the constant (K)
we substitute for K in the equation
8=K×-5
8=-5K divide both sides by -5
8÷-5=-5K÷-5
K=-1.6
The length of a bacterium is about 4 × 10-5 inch. What is the length of a bacterium written as an ordinary number?
Answerplease give moreinfo
Step-by-step explanation:
Calculate the derivative using implicit differentiation:
∂w /∂z,x^(5)w+w^7+wz^2+8yz=0
∂w/ ∂z= ?
Step-by-step explanation:
Given: [tex]x^5w + w^7 + wz^2 + 8yz = 0[/tex]
Taking the partial derivative of the above equation with respect to z, we get
[tex]x^5\dfrac{\partial{w}}{\partial{z}} + 7w^6\dfrac{\partial{w}}{\partial{z}} + z^2\dfrac{\partial{w}}{\partial{z}} + 2z + 8y =0[/tex]
Collecting all terms containing [tex]\frac{\partial{w}}{\partial{z}},[/tex] we get
[tex](x^5 + 7w^6 + z^2)\dfrac{\partial{w}}{\partial{z}} = -2(z + 4y)[/tex]
Then
[tex]\dfrac{\partial{w}}{\partial{z}} = \dfrac{-2(z + 4y)}{x^5 + 7w^6 + z^2}[/tex]
The derivative using implicit differentiation can be calculated and after rearranging the terms.
What is implicit differentiation?Implicit differentiation is the technique in which the derivative of y with respect to x using implicit differentiation without having to solve the supplied equation for y.
We have:
[tex]\rm x^5w+w^7+wz^2+8yz=0[/tex]
We have to find the:
= ∂w/ ∂z
[tex]\rm \dfrac{\partial }{\partial z}[\rm x^5w+w^7+wz^2+8yz=0][/tex]
[tex]\rm x^5\dfrac{\partial w}{\partial z} +7w^6\dfrac{\partial w}{\partial z}+z^2\dfrac{\partial w}{\partial z}+2z+8y=0[/tex]
After rearranging the terms:
[tex]\rm (x^5 +7w^6+z^2)\dfrac{\partial w}{\partial z}= -2(z+4y)[/tex]
[tex]\rm \dfrac{\partial w}{\partial z}= \dfrac{-2(z+4y)}{x^5 +7w^6+z^2}[/tex]
Thus, the derivative using implicit differentiation can be calculated and after rearranging the terms.
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Write a rule in words and as an algebraic expression to model the relationship.
15. The cost of beverages in a vending machine is shown.
Beverages cost
1. $1.25
2. $2.50
3. $3.75
Evaluate 2(x - 4) + 3x - y for x = 3.
Answer:
7 - y
Step-by-step explanation:
2(x - 4) + 3x - y for x = 3
~Substitute
2(3 - 4) + 3(3) - y
~Simplify
2(-1) + 9 - y
-2 + 9 - y
7 - y
Best of Luck!
Need help for this question. ASAP
Answer:
Data set A1, 2, 2, 2, 3, 4, 5Mean = (1 + 2*3 + 3 + 4 + 5)/7 = 2.71Mode = 2Median = 2Mean > median ⇒ Skewed rightData set B1, 2, 3, 4, 4, 4, 5, 6, 7Mean = (1 + 2 + 3 + 4*3 + 5 + 6 + 7)/9 = 4Mode = 4Median = 4Mean = median ⇒ SymmetricalData set C1, 1, 2, 2, 3, 3, 4, 4Mean = (1*2 + 2*2 + 3*2 + 4*2)/8 = 2.5Mode = noneMedian = (2+3)/2 = 2.5Mean = median ⇒ UniformData set D1, 2, 3, 4, 5, 5, 5, 6Mean = (1 + 2 + 3 + 4 + 5*3 + 6)/8 = 3.875Mode = 5Median = (4+5)/2 = 4.5Mean < Median ⇒ Skewed leftsolve for r
A= 3r(to the 2 power) i couldn’t make it a small two
Answer:
r = [tex]\sqrt{\frac{a}{3}}[/tex]
Step-by-step explanation:
1. A = 3r²
(Divide 3 by both sides)
2. A/3 = r²
(Square root both sides)
√A/3 = r
On solving for 'r' we get - r = [tex]\sqrt{\frac{A}{3} }[/tex].
We have the following expression -
[tex]$A=3r^{2}[/tex]
We have to solve for r.
Solve for x : [tex]$x^{2} = 9[/tex]On solving, we get -
x = [tex]$\pm\sqrt{9}[/tex]
x = [tex]$\pm3[/tex]
According to the question, we have -
[tex]$A=3r^{2}[/tex]
[tex]$r^{2} = \frac{A}{3}[/tex]
r = [tex]\pm\sqrt{\frac{A}{3} }[/tex]
Since, the area cannot be negative, therefore -
r = [tex]\sqrt{\frac{A}{3} }[/tex]
Hence, on solving for 'r' we get - r = [tex]\sqrt{\frac{A}{3} }[/tex].
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A rectangle has a length of 12 inches and a width of 8 inches. Lexi draws a scale copy of the rectangle using a scale factor of 2:3. What are the dimensions of the scale copy
1. What is the value of x in the diagram?
42
329
E
A. 64°
B. 10°
C. 20°
O D. 42°
Answer:
10
Step-by-step explanation:
B=180-42=138
C=32
triangle must have 180degrees: 180-(138+32)=X
x=180-170=10
Unit 1.1.E.01 State the value of the CONSTANT TERM. y=x2−4
Answer:
-4
Step-by-step explanation:
Should be lah, cuz the others like y and x2 are variables
You give up a full-time salary of $52,000 a year to go to school for 2 years. The total cost of going to school is $36,000. If you want to be able to recover your investment in 4 years or less, what is the minimum salary you would need to earn upon earning your degree?
Answer:
$9000
Step-by-step explanation:
36000:4=$9000
III. Round to the nearest thousand.
21. 3,109
22. 2,786
23. 4,876
24. 8,543
25. 2,264
Answer:
21. 3000
22. 3000
23. 5000
24. 9000
25. 2000
Step-by-step explanation:
look at the number in the 'hundreds', if its between 1-4, you round the number down, and if its between 5-9, you round up.
Determine whether (a) x = -1 or (b) x = 2 is a solution to this equation
Answer: (a) x = -1
Step-by-step explanation:
Given
-2 (x - 1) = 1 - 3x
Expand parentheses and apply the distributive property
(-2) · x - (-2) · 1 = 1 - 3x
-2x + 2 = 1 - 3x
Add 3x on both sides
-2x + 2 + 3x = 1 - 3x + 3x
x + 2 = 1
Subtract 2 on both sides
x + 2 = 1 - 2
[tex]\boxed{x=-1}[/tex]
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Please let me know if you have any questions
I need answers for problem solving
Answer:
243
Step-by-step explanation:
the answer is 243 for number 6
Answer:
all you gotta do is do 2430 divided by ten
Use the rule for order of operations to simplify the expression as much as possible:
22−2(9⋅2−8)
Which of the following statements are true? Select all that apply. A. 1,000 is both a perfect square and a perfect cube. B. 27 is a perfect cube. C. 6 is neither a perfect square nor a perfect cube. D. 9 is a perfect cube. E. 36 is a perfect square.
Answer:
C
E
Step-by-step explanation:
find x
14.5, -8, -4.5, x; The mean is 9.5.
Answer:
x = 36
Step-by-step explanation:
multiply 4 and 9.5 to get the total amount.
38 = 14.5 + (-8) + (-4.5) + x; hence x is 36.
Answer: x=36
Step-by-step explanation:
To solve this question, we first want to know what mean is. Mean is the same as the average. You take the sum and divide it by the amount. Since we know there are 4 numbers and the mean, we can easily find the value of x.
[tex]\frac{14.5-8-4.5+x}{4} =9.5[/tex] [multiply both sides by 4]
[tex]14.5-8-4.5+x=38[/tex] [combine like terms]
[tex]2+x=38[/tex] [subtract both sides by 2]
[tex]x=36[/tex]
Now, we know that x=36.
Is the product of a rational number and an irrational number always irrational?
Answer:
The product of any rational number and any irrational number will always be an irrational number.
Step-by-step explanation:
How many days are there in j weeks
Answer:
ummm is that a thing
Step-by-step explanation:
NEED HELP INSTANTLY!!!!
What are the roots of the polynomial?
Evaluate81−−√4????? HELP
Answer:
3 to the power of 4 is 81
Step-by-step explanation:
Write an
equation that passes through the origin with a rate of change equal to 1
Answer:
y = x
Step-by-step explanation:
Rate of change is also known as the gradient of a curve and denoted as "m".
If the rate of change is equal to one then "m" is equal to 1
In the general equation of a straight line:
y = mx + c
this would look like:
y = 1x
If it passes through the origin it intercepts the y-axis at 0 so c = 0
y = x + 0
or
y = x
(Please mark as brainliest)
PLEASE HELP ASAP FOR BRAINLIEST
For each graph below, state all intervals where the function is increasing. Also state all intervals where the function is decreasing.
Find the value of x for which ABCD must be a parallelogram.
Answer:
ans is 7
Step-by-step explanation:
as we know that angle B and C are equal cause it is an alternative angle so
3x-17=25-3x
so 3x+3x=25+17
6x=42
x=7
Answer:
7
Step-by-step explanation:
The value of x only makes the figure a llgm because the question says so. It needs one more fact to be a llgm.
That said, you are 1/3 the way there. Those angles marked must be equal.
3x - 17 = 25 - 3x Add 3x to both side
3x + 3x - 17 = 25 Combine
6x - 17 = 25 Add 17 to both sides
6x = 25 + 17 Combine
6x = 42 Divide by 6
6x /6 = 42/6
x = 7
a ball is drawn randomly from a jar 8 red balls, 12 white balls and 13 yellow balls. find the probability of drawing a white ball
0.92403 to the nearest ten-thousandth
Answer:
bff
Step-by-step explanation:
bfbfb
Answer:
0.9240
Step-by-step explanation:
In △PQR, sinQ=25, sinR=13, and q=6. Find the side length r.
Can someone please help
Answer:
r = 5
Step-by-step explanation:
the sine rules formula :
sin Q/q = sin R/r
=> r = q× sin R / sin Q
= 6× ⅓ / (2/5)
= 2 /(2/5)
= 2× 5/2
= 5
The measure of side length "r" if sinQ=2/5, sinR=1/3, and q=6 is 5
Application of sine rule.According to the rule, the ratio of the sides to the opposite angles is a constant. Mathematically:
p/sinP = q/sinQ = r/sinR
Given the following parameters
sinQ=2/5, sinR=1/3, and q=6.
6/(2/5) = r/(1/3)
30/2 = 3r
15 = 3r
r = 5
Hence the measure of side length "r" if sinQ=2/5, sinR=1/3, and q=6 is 5
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help me for 50 points
Answer:
I hope it helped U
stay safe stay happy
Answer:
Step-by-step explanation:
a rectangle has points at 4, 2, 6, 2, 4, 7, and 6, 7 what is the perimeter of the square
Answer:
Perimeter=14
Step-by-step explanation:
SEE THE IMAGE FOR SOLUTION
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How do Curves A and B compare to each other with respect to f and f ′?
The answer cannot be determined.
f: Curve B, f ′: Curve A
f: Curve A, f ′: Curve B
Neither Curve A nor Curve B are derivatives of each other.
It's likely that curve A is f and curve B is f '.
The points where curve B crosses the horizontal axis correspond to the extrema of curve A at around 0 and 0.45, and the extremum of curve B corresponds to the inflection point of curve A at around 0.2. These observations are consistent with the first and second derivative tests.
10. Which statement is NOT true about rational numbers?
F The sum of two rational numbers is also a rational number
G 0is not a rational number.
H The product of two rational numbers is also a rational number.
J The opposite of a rational number is also a rational number.
Answer:
The rational numbers are the numbers can be expressed in the form of
r = p/qLet's see the answer choices:
F The sum of two rational numbers is also a rational number
This is TRUEG 0 is not a rational number.
This is FALSE as 0 can be expressed in the form of r= p/q, where p = 0H The product of two rational numbers is also a rational number.
This is TRUEJ The opposite of a rational number is also a rational number.
This is TRUEAnswer:
Answer :-
F. The sum of two ration number is a rational number.
TrueEg - 1/2 + (-1)/3
3 - 2/3 = 1/3
G. 0 is not a rational number
False. Because 0 can't be represented as p/q form.
H. The product of two rational numbers is also a rational number.
True.
Eg - 1/2 × 3/4 = 3/8
J.The opposite of a rational number is also a rational number.
True. Eg - 1/2 and 2/1