Answer:
-5x + 4y = -11.
Step-by-step explanation:
If it's a circle then it must be x^2 not x.
x^2 + y^2 + 4x - 10y = 12
Using implicit differentiation:
2x + 2y y' + 4 - 10 y' = 0
y'( 2y - 10) = -2x - 4
y' = (-2x - 4)/(2y - 10)
y' = (-x - 2) / (y - 5) = the slope of the tangent.
At (3, 1), y' = (-3-2) / (1 - 5)
= 5/4.
So the required equation is
y - y1 = 5/4(x - x1) where x1 = 3 and y1 = 1.
y - 1 = 5/4(x - 3)
y = 5/4(x - 3) + 1
Multiply through by 4:
4y = 5(x - 3) + 4
4y = 5x - 15 + 4
In standard form the equation is:
-5x + 4y = -11.
solve for x with work
Combine like terms:
-3x^3+1+4x^3-3y^3-1+5x^3-7−3x3+1+4x3−3y3−1+5x3−7
Answer:
12[tex]x^{3}[/tex] - 6[tex]y^{3}[/tex] - 14
Can someone please help?
Answer:
I answered the 1st one on your other post
2nd: 1/8
3rd: I don't know anything about inchwe study in cm so I don't know the answer
Step-by-step explanation:
we throw a coin. it has 2 probabilities: heads or tails
each probability is 1/2
1st throw 1/2
2nd throw 1/2
3rd throw 1/2
as all these throws are independent from one another, we put × between them. so: 1/2 ×1/2 ×1/2= 1/8
Which property would allow you to use mental computation to simplify the problem 27 + 15 + 3 + 5? additive identity additive inverse commutative property of addition distributive property
Answer:
Commutative Property
Step-by-step explanation:
Additive Identity: If you add a real number to zero or add zero to a real number, then you get the same real number back.
Additive Inverse: When you add the same number but reversed sign, you get 0.
Commutative Property: a + b = b + a
Addition distributive property: a(b+ c) = ab + ac.
In this case, we use the commutative property:
27 + 15 + 3 + 5 = 27 + 3 + 15 + 5.
We know that 27 + 3 = 30 and 15 + 5 = 20, so we get 50 quickly using mental math.
Answer:
Communitive
Step-by-step explanation:
Shana wants to use all 62 feet of the fencing she has to make a rectangular run for her dog. She decides to make the
length of the run 20 feet. She writes and solves the equation 21+ 2W - 62 to find the width of the run.
Which statements are true of the solution? Check all that apply.
The value of w is 10 feet.
The value of w can be zero.
The value of w cannot be a negative number.
O Substitution is used to replace the variable l with a value of 20.
The subtraction property of equality is used to isolate the term with the variable w.
Answer:The value of w cannot be a negative number, substitution is used to replace the variable L with a value of 20, the subtraction property of equality is used to isolate the term with the variable w.
Step-by-step explanation:
Answer:
C, D, and E
Step-by-step explanation:
Just checked it and got 100on edge
Solve for x with work
Answer:
47 degrees
Step-by-step explanation:
The two angles shown are "vertical angles" and thus are equal.
Thus, 2x + 3 = x + 50
Combining like terms, we get:
x = 47 degrees
Nadia says the hypotenuse of this right triangle has a length of 73 because the Pythagorean theorem states that
(28+45) -73
GOS
28
45
Which best describes Nadia's solution?
Answer:28
Step-by-step explanation:
Answer:
C. She is incorrect because she should have squared each leg length and then found the sum.
Step-by-step explanation:
John has a box of nails. The box contains 65 small nails, 40 medium nails, and 45 large nails. Susan has a box of nails that has the same
proportion of small, medium, and large nails as John's box. There are 176 medium nails in Susan's box.
What is the total number of nails in Susan's box? Enter the answer in the box
Answer:
Susan has a total of 660 nails
Step-by-step explanation:
John box contains 65 small nails, 40 medium nails, and 45 large nails.
The proportion of John nails is
65/5:40/5:45/5
13:8:9
Total = 30
If Susan has 176 medium nails and same proportion to John's nails
8/30(x) = 176
Where x is the total number of nails for Susan box
X= (176*30)/8
X= 22*30
X= 660 nails
Susan has a total of 660 nails
Need help plzzz anyone
Answer:
A) √61
Step-by-step explanation:
a²+b²=c²
(4-(-2))²+(5-0)²=c²
6²+5²=c²
36+25=c²
61=c²
c=√61
1.Square roots are the ____ of perfect squares.
Tyler wants to calculate his grade in his accounting class. His test grades are a 77%, 62% 85%, 80%. What is his average in the class?
Answer:
76%Step-by-step explanation:
Given Tyler test grades to be 77%, 62% 85% and 80%, to find its average in the class, we will find the mean of his grades.
Mean is the ratio of the sum of the grades to the total number of grades given.
[tex]mean (\overline x) = \frac{\sum Xi}{N}[/tex]
Xi are the individual grades
N is the total number of grades = 4
[tex]\overline x = \dfrac{77+62+85+80}{4} \\\overline x = \frac{304}{4}\\ \overline x = 76 % \\[/tex]
Hence his average in the class is 76%
Manuel buys 7.9 pounds of strawberries. Each pound costs $3.89. Which expression gives the best estimate of the cost of the strawberries?
Answer:
x= 3.89 x 7.9
Step-by-step explanation:
x= 3.89 x 7.9
x=30.731
Answer: (8)($4)
Answer with an explanation:
What we need to know: Any number 5 or higher is automatically rounded up, any number 4 or lower is automatically round down. Also if the number is after the decimal you can say 5 or higher with a zero because it doesnt do anything to the number, so you could say .50 or higher or .40 or lower and if it has three decimal places just add another zero so it would be .500 higher or .400 lower.
So, 7.9 is rounded up to 8.0 because 9 is 5 or higher.
$3.89 is rounded up to $4.00 because .89 is higher than .50.
Now just take off the zeros from 8.0 and $4.00 to get (8)($4)
Hope this helps.
btw my hands are numb from answering all the questions I have answered today so brainliest would be appreciated. :))
solve 6(x-2) ^2 + 7 = 223
Answer:
x = 8 or -4
Step-by-step explanation:
6(x - 2)² + 7 = 223
PEMDAS
expand (x - 2)² first using FOIL
(x - 2)(x - 2)
x² - 2x - 2x + 4
x² - 4x + 4
rewrite equation
6(x² - 4x + 4) + 7 = 223
distribute the 6 through the parentheses
6x² - 24x + 24
rewrite equation
6x² - 24x + 24 + 7 = 223
combine like terms
6x² - 24x + 31 = 223
subtract both sides by 223
6x² - 24x - 192 = 0
divide both sides by 6
x² - 4x - 32 = 0
factor with factoring X
x² - 8x + 4x - 32 = 0
factor by grouping
(x² - 8x) + (4x - 32) = 0
x(x - 8) +4 (x - 8) = 0
(x - 8)(x + 4) = 0
x = 8 or -4
If two points that are coplanar are also _________________.
Answer:
If two points that are coplanar are also __ collinear
the chef has eight blocks of butter. she cuts the butter into fourths. how many slices of butter does the chef have now
Answer:
32 Blocks of Butter
Explanation:
Since the chef is starting with 8, and I'm guessing they are cutting all the blocks of butter into fourths; this is a multiplication equation. 8×4=32
Answer:
[tex]\huge\boxed{32\ blocks\ of\ butter}[/tex]
Step-by-step explanation:
The chef had = 8 blocks
She cuts/ divides the blocks into fourths.
The chef has now:
=> [tex]8 / \frac{1}{4}[/tex]
=> [tex]8 * 4[/tex]
=> 32 blocks of butter
Evaluate the integral. W (x2 y2) dx dy dz; W is the pyramid with top vertex at (0, 0, 1) and base vertices at (0, 0, 0), (1, 0, 0), (0, 1, 0), and (1, 1, 0)
Answer:
[tex]\mathbf{\iiint_W (x^2+y^2) \ dx \ dy \ dz = \dfrac{2}{15}}[/tex]
Step-by-step explanation:
Given that:
[tex]\iiint_W (x^2+y^2) \ dx \ dy \ dz[/tex]
where;
the top vertex = (0,0,1) and the base vertices at (0, 0, 0), (1, 0, 0), (0, 1, 0), and (1, 1, 0)
As such , the region of the bounds of the pyramid is: (0 ≤ x ≤ 1-z, 0 ≤ y ≤ 1-z, 0 ≤ z ≤ 1)
[tex]\iiint_W (x^2+y^2) \ dx \ dy \ dz = \int ^1_0 \int ^{1-z}_0 \int ^{1-z}_0 (x^2+y^2) \ dx \ dy \ dz[/tex]
[tex]\iiint_W (x^2+y^2) \ dx \ dy \ dz = \int ^1_0 \int ^{1-z}_0 ( \dfrac{(1-z)^3}{3}+ (1-z)y^2) dy \ dz[/tex]
[tex]\iiint_W (x^2+y^2) \ dx \ dy \ dz = \int ^1_0 \ dz \ ( \dfrac{(1-z)^3}{3} \ y + \dfrac {(1-z)y^3)}{3}] ^{1-x}_{0}[/tex]
[tex]\iiint_W (x^2+y^2) \ dx \ dy \ dz = \int ^1_0 \ dz \ ( \dfrac{(1-z)^4}{3}+ \dfrac{(1-z)^4}{3}) \ dz[/tex]
[tex]\iiint_W (x^2+y^2) \ dx \ dy \ dz =\dfrac{2}{3} \int^1_0 (1-z)^4 \ dz[/tex]
[tex]\iiint_W (x^2+y^2) \ dx \ dy \ dz =- \dfrac{2}{15}(1-z)^5|^1_0[/tex]
[tex]\mathbf{\iiint_W (x^2+y^2) \ dx \ dy \ dz = \dfrac{2}{15}}[/tex]
A new cell phone costs $85, and the sales tax is 9%. What is the amount of the sales tax?A new cell phone costs $85, and the sales tax is 9%. What is the amount of the sales tax?A new cell phone costs $85, and the sales tax is 9%. What is the amount of the sales tax?
Step-by-step explanation:
Sales tax = $7.65
Explanation:
To find the sales tax, you would find 9% of $85
$85×9÷100 (You can reduce 85 and 100 because they have a common factor of 5)
$17×9÷20 (Multiply 9×17)
153÷20 = $7.65
Answer:
7.65
Step-by-step explanation:
prove that 3^2n+7 is divisible by 8
Answer:
Step-by-step explanation:
If n=1 then 32n+7=16=2(8) so true when n=1
Assume true for n=k so
8|32k+7
If n=k+1
32(k+1)+7
32k+2+7
If 32n+7 is divisble by 8 then 32n+7=8A where A∈Z, and thus 32k+2+7=8B where B∈Z
32×32k+7
32×(8A)=72A
72A=8(9A)=9B
So by induction 32n+7 is divisibe by 8 ∀n∈N
. A system consists of three subsystems in parallel. Subsystem A has a reliability of 0.98, subsystem B has a reliability of 0.85, and subsystem C has a reliability of 0.88. Calculate the overall system reliability.
Answer:
[tex]P(System) = 0.73304[/tex]
Step-by-step explanation:
Given
Reliability of:
A = 0.98
B = 0.85
C = 0.88
Required
Determine the overall reliability
The overall system reliability is calculated by multiplying the individual reliability of each subsystems;
i.e.
[tex]P(System) = P(A) * P(B) * P(C)[/tex]
[tex]P(System) = 0.98 * 0.85 * 0.88[/tex]
[tex]P(System) = 0.73304[/tex]
Hence, the overall reliability is 0.73304
5. Tia invests $2,500 at an interest rate of 4%, compounded quarterly. How much is the investment worth at the end of 5 years? Look at the concept summary if you forgot the formula for compound interest.
Answer:
$3050.48
Step-by-step explanation:
If 4% is compounded quarterly, that means it's 1% every quarter. since we have 5 years, that's 1.01^20, which is approx. 1.2202. We multiply this by the orignal $2500, so our investment at the end of 5 years is $3050.48 (rounded to nearest cent)
The amount of money that Tia's investment would be worth at the end of 5 years is equal to $3050.5.
Given the following data:
Principal = $2,500Interest rate = 4% = 0.04Time = 5 yearsNumber of times = 4To determine how much is the investment worth at the end of 5 years:
Mathematically, compound interest is given by the formula:
[tex]A = P(1 + \frac{r}{n})^{nt}[/tex]
Where;
A is the future value.P is the principal (starting amount).r is annual interest rate.n is the number of times the interest is compounded in a year.t is the number of years for the compound interest.Substituting the given parameters into the formula, we have;
[tex]A = 2500(1 + \frac{0.04}{4})^{4\times 5}\\\\A = 2500(1 +0.01)^{20}\\\\A = 2500(1.01)^{20}\\\\A = 2500(1.2202)[/tex]
Future value, A = $3050.5
Read more: https://brainly.com/question/22339845
Tell whether each equation is True, False, or Open. Explain. "must explain for credit"
1. 6-t=12
2. 7+(-5)=12
3. 31 - 15 = 22 + (-3)2
A piece of rope is 33 1/3 yards long and was cut into equal pieces. How many yards was each piece?
Answer:
11 ¹/₉ yardsStep-by-step explanation:
You didn't say how many pieces. My answer is for 3 equal pieces.[tex]33\frac13\div3=(33+\frac13)\div3=33\div3+\frac13\div3=11+\frac13\times\frac13=11+\frac19=11\frac19[/tex]
For two it would be:
[tex]33\frac13\div2=(33+\frac13)\div2=33\div2+\frac13\div2=16\frac12+\frac13\times\frac12=\\\\=16\frac36+\frac16=16\frac46=16\frac23[/tex]
Lin recorded 14,-7 and 9. what was the net gain or loss?
Answer:
12345
Step-by-step explanation:
Which of the following is an integer?
O 9.1
0-6
0 -2.3
-O
Answer:
The answer is -6
Step-by-step explanation:
I need help with this question plz thx
Answer:
[tex]7x^2 - 3y + 9[/tex]
Step-by-step explanation:
Hey there!
Well to solve the given,
2y - y + 7 - 1 + 3 + 7x^2 - 4y
We need to combine like terms
[tex]2y - y + 7 - 1 + 3 + 7x^2 - 4y\\7x^2 - 3y + 9\\[/tex]
Hope this helps :)
Answer:
7x^2 - 3y + 9
Step-by-step explanation:
2y - y + 7 - 1 + 3 + 7x^2 - 4y [Combine like terms]
= (2y - y - 4y) + (7- 1 + 3) + 7x^2
= -3y + 9 + 7x^2 [Order the terms from most exponents to least]
= 7x^2 - 3y + 9
What is 5 8/12 as a mixed number in its simplest form
Answer:
5 2/3
Step-by-step explanation:
Just keep simplifying 8/12 until you end up with 2/3
Find the GCF of both the numerator and denominator and you end up with 2/3
Just to make it clear 8/12 = 2/3
20. How does the graph of
g(x) = 2x + 3 differ from the
graph of f(x) = 2x?
A It is moved up 3 units.
B It is moved down 3 units.
C It is moved right 3 units.
D It is moved left 3 units.
Answer:
A. It is moved up 3 units
Step-by-step explanation:
The 3 in 2x+3 tells you that the line is moved up 3 units
Can you please help me with this I’ll give you a playlist for sure
Answer:
Option A
Step-by-step explanation:
Margot preformed a refection. A reflection is a rigid transformation.
A rigid transformation does not change the size nor the shape of the figure. Rigid transformations only change the position of the shape.
The parallel lines stay 4 centimetres apart after the transformation.
Hope this helps.
Solve the inequality. Negative 3 x + 6 greater-than negative 2
Answer:
[tex]x < 2 \frac{2}{3} [/tex]
Step-by-step explanation:
The symbol for greater than is '>'.
-3x +6 > -2
Bring constants to one side:
-3x > -6 -2
Simplify:
-3x > -8
Divide both sides by -1, change sign:
3x < 8
Divide by 3 on both sides:
[tex]x < \frac{8}{3} \\ x < 2 \frac{2}{3} [/tex]
Answer:
it is a
Step-by-step explanation:
just got it right
I'll give you brainliest if you answer! All I need is help with number 15!
Answer:
120 minutes
Step-by-step explanation:
The lowest number that all three trains times can evenly go into is 120. 60 is not divisible by 8, but 120 is. So is 12 and 10, so 120.