Answer:
(x – 3)^2+ (y – 2)^2 = r^2
Step-by-step explanation:
The co-ordinates of the center=(3,2)
The formula for the equation of a circle is (x – h)^2+ (y – k)^2 = r^2,
(h, k) represents the coordinates of the center of the circle, and r represents the radius of the circle.
Therefore, (x – h)^2+ (y – k)^2 = r^2
=(x – 3)^2+ (y – 2)^2 = r^2
You can find r^2the equation.
Coefficient of y in the equation: 3(2x -1/3y) = 0 is equal to a) 3 b) 1 c)-3 d)-1
Answer:
d is the right answer because the coefficient of y is 3*(-1/3) which results -1 so d is the right answer
The coefficient of y in the given equation is 1. Therefore, option B is the correct answer.
What is an equation?In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.
The given equation is 3(2x -1/3y)=0.
Now, 6x-1/y=0
A numerical or constant quantity placed before and multiplying the variable in an algebraic expression.
Here, coefficient of y is 1.
Therefore, option B is the correct answer.
To learn more about an equation visit:
https://brainly.com/question/14686792.
#SPJ2
Engineering
When p= 3, q. I and r. 2, the
expression 2p² q3 is equal to
Answer:
[tex]{ \tt{2 {p}^{2} {q}^{3} }} \\ = { \tt{ {2(3)}^{2} . {(1)}^{3} }} \\ = 18[/tex]
Each pizza shown is broken up into different sized slices, but they are all equivalent.
Come up with another ratio of pizza slices that is equivalent to all of these pizzas.
!!! I need help with this question !!! I tried using the standard deviation formula but my answers are wrong. Can someone please help me! Thank you for your help!
Answer:
Step-by-step explanation:
I need help with this
bing jhwwjwiwisisuwuwywywywfsfsahajai
JK=8x+6 KL=6x+20 find JL
Answer:
14x + 26
Step-by-step explanation:
JL = JK + KL
= 8x + 6 + 6x + 20
= 8x + 6x + 6 + 20
JL = 14x + 26
Solve the following equation. for x
7x - 2 < 10
Step-by-step explanation:
7x < 10+2
7x<12
x < 12/7
Hope this helps!
Answer:
[tex]7x-2<10[/tex][tex]7x-2+2<10+2[/tex][tex]7x<12[/tex][tex]\frac{7x}{7}<\frac{12}{7}[/tex][tex]x<\frac{12}{7}[/tex]OAmalOHopeO
Help ASPPP!!!
Name a point that is represented on this graph. Use an ordered pair to give your answer. (Hint:
Look at the shaded region)
Answer:
(-5, -9)
Step-by-step explanation:
From the graph shown, the perfect ordered pair represented on the graph occurs when x = -5, y = -9. Therefore the required coordinate could be (-5, -9)
Dutchess County, New York, has been experiencing a mean of 35.4 motor vehicle deaths each year. If D = the number of vehicle deaths in Dutchess County in a year, what is the distribution for D (Binomial or Poisson) Explain.
Answer:
Poisson, as we have the mean number and not a proportion.
Step-by-step explanation:
We have the mean number of vehicle deaths per year, thus, since it is a mean and not a proportion, we use the Poisson distribution.
If we were working with the proportion of accidents that end in death for example, or any other proportion, it would be a binomial random variable.
please help me its timed -H.M
Answer:
f(3) = g(3)
General Formulas and Concepts:
Algebra I
Functions
Function NotationGraphingStep-by-step explanation:
We can see from the graph that the lines intersect at (3, 6). If this is the case, then that means that when x = 3 for both functions, it outputs f(x) = 6.
Rewriting this in terms of function notation:
f(3) = 6, g(3) = 6
∴ f(3) = g(3)
Determine whether the point (4,2) is in the solution set of the system of inequalities below. 4x + y < 2 y > –2
Answer:
False
Step-by-step explanation:
4x + y < 2
y > –2
Substitute the point into the inequalities and see if they are true
4(4) + 2 < 2
16+2 < 2
18 <2 False
2 > –2 True
Since one is false the point is not a solution
The mortgage on your new house is $180,000. Your monthly mortgage payment is $839 for 30 years. How much interest will be paid if the house is kept for the full 30 years?
9514 1404 393
Answer:
$122,040
Step-by-step explanation:
The interest is the difference between the mortgage value and the total amount paid.
($839/mo)×(12 mo/yr)×(30 yr) -180,000 = $302,400 -180,000 = $122,040
$122,040 will be paid in interest.
Find the mean for the data items
Answer:
4.5
Step-by-step explanation:
Given the data :
Score, x ____: 1, 2, 3, 4, 5, 6, 7, 8
Frequency, F : 1, 5, 1, 4, 4, 1, 5, 1
This is a grouped data: The mean of a grouped data is given as :
Mean (xbar) = ΣFx / ΣF
ΣFx = (1*1)+(2*5)+(3*1)+(4*4)+(5*4)+(6*1)+(7*5)+(8*1) = 99
ΣF = (1+5+1+4+4+1+5+1) = 22
Mean (xbar) = ΣFx / ΣF = 99 / 22 = 4.5
Consider a uniform density curve defined from x = 0 to x = 8. What percent of observations fall between 1 and 5?
a) 0.20
b) 0.50
c) 0.62
d) 0.13
e) 0.63
f) None of the above
Answer: 0.50, which is choice b
Explanation:
The interval [tex]1 \le x \le 5[/tex] covers 5-1 = 4 units in the horizontal direction.
This is out of 8 units that span from x = 0 to x = 8 (we could say 8-0 = 8).
So we get the final result of 4/8 = 0.50
In other words, the interval from x = 1 to x = 5 covers exactly half of the interval from x = 0 to x = 8.
Which is the graph of the following inequality
Answer:
graph a is the correct answer
Step-by-step explanation:
The width of a rectangle measures (7k-2m)(7k−2m) centimeters, and its length measures (5k-m)(5k−m) centimeters. Which expression represents the perimeter, in centimeters, of the rectangle?
Answer:
[tex]P = 24k-6m[/tex]
Step-by-step explanation:
The correct expressions are:
[tex]W = 7k - 2m[/tex]
[tex]L = 5k - m[/tex]
Required
The perimeter (P)
This is calculated as:
[tex]P = 2 *(L + W)[/tex]
So, we have:
[tex]P = 2 *(5k - m + 7k -2m)[/tex]
Collect like terms
[tex]P = 2 *(5k + 7k- m -2m)[/tex]
[tex]P = 2 *(12k-3m)[/tex]
Open bracket
[tex]P = 24k-6m[/tex]
The height of Mt.Whitney is approximately 14,490 feet. What is a rounded form of this number written in scientific notation?
Which of the following is graphed below?
A runner is traveling at a constant rate of 8 meters per second. How long does it take for the runner to travel 100 meters? Now before you answer this I know it's 12.5! What I need help with is creating a equation that gives the distance, d, that the person has run if you know the amount of time, t, they have been running. Thank you! :)
Answer:
see below
Step-by-step explanation:
We know that distance = rate * time
100 meters = 8 m/s * time
100 = 8t
Divide each side by 8
100/8 = 8t/8
12.5 = t
If we know the rate and the time, we can find the distance
d = rt
Find the exact value of the logarithm without using a calculator.
Answer:
1/11
Step-by-step explanation:
We are asked to find the natural log of
[tex] \sqrt[11]{e} [/tex]
Convert to fractional exponent
[tex] ln(e {}^{ \frac{1}{11} } ) [/tex]
Apply Log of Power rule
[tex] \frac{1}{11} ln(e) [/tex]
Natural log of e is 1 so
[tex] \frac{1}{11} \times 1 = \frac{1}{11} [/tex]
Answer:
[tex]\frac{1}{11}[/tex]
Step-by-step explanation:
First, remember that the ln function is just a log function with a base of e. Here's how it looks
[tex]ln(x) =log_{e}(x)[/tex]
[tex]ln(\sqrt[11]{e} ) = log_{e}(\sqrt[11]{e} )[/tex]
We can take this one step further if we realize that we can rewrite the square root as a simple power to a fraction!
[tex]log_{e}(e^{\frac{1}{11} } )[/tex]
Solving the equation above is really simple. All that function is really saying is can we raise e to some number, where the result would be e^(1/11)? In other words find x.
[tex]e^{x} = e^{\frac{1}{11} }[/tex]
Well x has to be 1/11 in that case. And that ends up being our final answer.
[tex]log_{e}(e^{\frac{1}{11} } ) = \frac{1}{11}[/tex]
Which of the following is a geometric sequence where a1 = 4 and r = 3?
A) 4, 7, 10, 13, . . .
B) 3, 7, 11, 15, . . .
C) 4, 12, 36, 108, . . .
D) 3, 12, 48, 192, . . .
Answer:
C 4,12,36 108
Step-by-step explanation:
the answer is above.
Answer:
C
Step-by-step explanation:
G.P= a,ar,ar^2,ar^3,...,
a1=4
a2=4×3=12
a3=4×9=36
a4=4×27=108
Leah is looking to take out a 30-year mortgage from a bank offering a monthly interest rate of 0.325% Using the formula below, determine the maximum amount Leah can borrow, to the nearest dollar, if the highest monthly payment she can afford is $900.
M=Pr/(1-(1+r)^-n)
M= the monthly payment
P= the amount owed
r= the interest rate per month
n= the number of payments
Answer:
[tex]P=\$276646.153[/tex]
Step-by-step explanation:
Time [tex]T=30years[/tex]
Rate [tex]r=0.325\%[/tex]
Payment per month [tex]P=\$ 900[/tex]
Generally the equation for Principle is mathematically given by
[tex]M=\frac{P r}{1-(1+r)^{-n}}[/tex]
[tex]900=\frac{P \frac{0.325}{100}}{1-(1+( \frac{0.325}{100}))^{- 30*12}}[/tex]
[tex]P=\frac{900*100*0.99}{0.325}[/tex]
[tex]P=\$276646.153[/tex]
The sum of two integers is 90 and their difference is 30. Find the larger number
Answer:
60 is the larger number
Step-by-step explanation:
Let the two numbers be a and y
x+y = 90
x-y = 30
Add the two equations together
x+y = 90
x-y = 30
-----------------
2x = 120
Divide by 2
2x/2 =120/2
x = 60
x+y =90
60+y = 90
y = 90-60
y = 30
The numbers are 60 and 30
A sofa regularly sells for $760. The sale price is $676.40. Find the percent decrease of the sale price from the regular price.
Answer: (760 - 676. 40) × 100 ÷ 760 = 11%
Step-by-step explanation:
Answer:
11% decrease
Step-by-step explanation:
Concepts:
Percent change is the change between an old value and its new value represented as a %. If a percent change is a decrease, it means that the new value is less than the old value. If a percent change is a increase, it means that the old value is less than the new value. The formula for percent change is: (NV - OV)/OV · 100 = C, where NV = New Value, OV = Old Value, and C = Percent Change.The sale price is the price at which something sells or sold after the price has been reduced by sales, discounts, etc.Solving:
Let's find the percent change by using the formula.
1. Formula for Percent Change
(NV - OV)/OV · 100 = C2. Plug in the values of NV and OV
(676.40 - 760)/760 · 100 = C3. Simplify
-83.6/760 · 100 = C-0.11 · 100 = C-11 = CTherefore, our percent decrease is 11% decrease.
What is the least common denominator that will allow you to combine the constant terms? 10 21 35 or 42
Answer:
[tex]LCM = 21[/tex]
Step-by-step explanation:
Given
[tex]-\frac{3}{5}y + \frac{1}{7}= \frac{1}{3}y -\frac{2}{3}[/tex]
Required
LCM of the constant terms
Collect like terms
[tex]\frac{1}{3}y+\frac{3}{5}y = \frac{1}{7}+\frac{2}{3}[/tex]
The constant terms are on the right-hand side
To combine them, we simply take the LCM of the denominator, i.e. 7 and 3
The prime factorization of 3 and 7 are:
[tex]3 = 3[/tex]
[tex]7 = 7[/tex]
So:
[tex]LCM = 3 * 7[/tex]
[tex]LCM = 21[/tex]
a rice cooker was sold for $60 after a discount of 60% waht was the usual price of the rice cooker
Discounted price = $60
Discount = 60%
Let the usual price be x.
So, x - (60% of x) = $60
=> x - [(60/100) × x] = $60
=> x - (60x/100) = $60
=> x - (3x/5) = $60
=> (5x/5) - (3x/5) = $60
=> 2x/5 = $60
=> 2x = $60 × 5
=> 2x = $300
=> x = $300/2
=> x = $150
So, the usual price is $150.
If the length of a leg of a right triangle is 25 and the length of the hypotenuse is 35, what's the length of the other leg, to the nearest tenth?
Answer:
24.5
Step-by-step explanation:
using Pythagorean theorem
[tex]a^{2} +b^{2} =c^{2} \\[/tex]
Since we know the hypotenuse, we can change up the theorem into [tex]c^{2} -b^{2} =a^{2}[/tex]
[tex]35^{2} -25^{2} =a^{2}[/tex]
1225-625=[tex]a^{2}[/tex]
[tex]\sqrt{a^{2} } =24.5[/tex]
Can someone help me solve this question?
Answer:
Step-by-step explanation:
I posted a pic to show you what this looks like so you have some idea of what it is I'm talking about in the explanation of how to find the side length of the rhombus. Knowing that this is a rhombus, all the sides are the same length.
Looking at the pic below, you can see that I divided the length of AC in 2 equal parts to get that the base of the right triangle I extracted below that is 8; the height is 6. We can find the side marked with a ? by using Pythagorean's Theorem; namely:
[tex]??^2=6^2+8^2[/tex] and
[tex]??^2=36+64[/tex] and
[tex]??^2=100[/tex] so
? = 10
The length of the sides of the rhombus is 10.
Please help
Given: F is the midpoint of AE and AB ll DE
Prove: △BFA = △DFE
Statements and Reasons
Answer:
See Below.
Step-by-step explanation:
We can write a two-column proof.
Statements: Reasons:
[tex]\displaystyle 1)\, F\text{ is the midpoint of } AE[/tex] Given
[tex]\displaystyle 2) \, \overline{FA} \cong \overline{FE}[/tex] Definition of Midpoint
[tex]\displaystyle 3) \, AB\parallel DE[/tex] Given
[tex]\displaystyle 4)\, \angle B \cong \angle D[/tex] Alt. Int. Angles Are Congruent
[tex]\displaystyle 5)\, \angle A \cong E[/tex] Alt. Int. Angles Are Congruent
[tex]\displaystyle 6) \, \Delta BFA \cong \Delta DFE[/tex] AAS Congruence
Find the missing side. Round your answer to the nearest
Please help me
Answer:
Step-by-step explanation:
