Answer:
Center is [tex](-12,9)[/tex]
Step-by-step explanation:
Given: Equation of a circle is [tex](x+12)^2+(y-9)^2=35[/tex]
To find: center of the circle
Solution:
A circle is a locus of all points which are at equidistant from the fixed point (center).
Equation of a circle is of form [tex](x-a)^2+(y-b)^2=r^2[/tex] where [tex](a,b)[/tex] represents center of the circle and r denotes radius of the circle.
Given equation is [tex](x+12)^2+(y-9)^2=35[/tex]
[tex]\left [ x-(-12) \right ]^2+(y-9)^2=35[/tex]
Compare this equation with [tex](x-a)^2+(y-b)^2=r^2[/tex]
Center is [tex](a,b)=(-12,9)[/tex]
Answer:
The raidus is 5.92
Step-by-step explanation:
PLEASE HELP!! I WILL GIVE YOU EVERYTHING
Answer:
Step-by-step explanation:
7.9
Answer:
y - 4 = (-3/2)(x - 4)
Step-by-step explanation:
Here's how we obtain the blue graph:
1) translate the red graph 5 units to the right, and
2) translate the resulting graph 5 units upward.
The equation of the blue graph is y - 4 = (-3/2)(x - 4)
What is
7 1/4 - 3 3/4 =?
Answer:
3 1/2
Step-by-step explanation:
7 1/4 - 3 3/4
Borrow 1 from the 7 in the form of 4/4
6 + 4/4 + 1/4 - 3 3/4
6 5/4 - 3 3/4
3 2/4
Simplify the fraction
3 1/2
Answer:
[tex]3 \frac{1}{2} [/tex]
Step-by-step explanation:
[tex]7 \frac{1}{4} - 3 \frac{3}{4} \\ \frac{29}{4} - \frac{15}{4} \\ = \frac{14}{4} \\ = \frac{7}{2} \\ = 3.5 = 3 \frac{1}{2} [/tex]
hope this helps
brainliest appreciated
good luck! have a nice day!
السؤال الرابع
اب ج مثلث قائم الزاوية في ب ، فيه أب = 6 سم ،
ب ج= 8 سم . فجد قيمة جتاأ ؟
Answer:
10 cm
Step-by-step explanation:
نستخدم فيثاغورس
ٲب²+ب ج²=ج ٲ²
ج ٲ²= 6²+8²
ج ٲ²= 100
ج ٲ= 10 سم
Which equation represents this number sentence?
Two less than one-fourth of a number is 10.
Answer:
[tex]\frac{1}{4} x-2=10[/tex]
Step-by-step explanation:
Let x be that number.
[tex]\frac{1}{4} x-2=10[/tex]
If you want to find the number..
[tex]\frac{1}{4} x=10+2[/tex]
[tex]0.25x=12[/tex]
[tex]x=12/0.25[/tex]
[tex]x=48[/tex]
Can anyone help me with this?
Answer:
Option (2)
Step-by-step explanation:
Option (1).
Time taken by Tina to walk = 56 minutes
Time taken by her sister to walk the same distance = x minutes
If both the sisters take the same time to walk, then
x = 56 minutes
Option (2).
Let the height of Tina = x inches
and the height of her brother = 56 inches
if Tina is shorter than her brother then,
x < 56 inches
Option (3).
Tina's dog weighed two months ago = 56 pounds
If the dog gained the weight in two months then weight before 2 months will be less than the present weight.
Let the weight of her dog is x pounds now,
x > 56 pounds
Option (4).
Amount with Tina = $x
Cost of the camera = $56
If the money with Tina has enough money to buy the camera, then the amount of money with her will be higher than the cost of the camera.
x > $56
Option (2) will be the answer.
A numerical measure of linear association between two variables is the
Answer:
Correlation Coefficient
Step-by-step explanation:
The correlation coefficient (r) is a numerical measure that measures the strength and direction of a linear relationship between two quantitative variables.
Evaluate the expression y - x + z for x = 4.7, y = 6, and z=0.68
y – X + z =
(Type an integer or a decimal.)
Answer:
1.98
Step-by-step explanation:
y - x + z for
x = 4.7, y = 6, and z=0.68
6 - 4.7 +.68
1.3+.68
1.98
Answer:
[tex]= 1.98 \\ [/tex]
Step-by-step explanation:
given that,
[tex]x = 4.7 \\ y = 6 \\ z = 0.68[/tex]
Let's solve now
[tex]y - x + z \\ 6 - 4.7 + 0.68 \\ 1.3 + 0.68 \\ = 1.98[/tex]
A television weighs 8.50 pounds. How many grams is this? (Hint: You need to
use two unit conversion fractions. 1 pound equals about 0.454 kg.)
Answer:
Hello
The answer is 3855'5
Step-by-step explanation:
At first change lbs to kg.
Then you'll change the kg to grkg×1000=gr
A tree farming company is testing how many items customers purchase during their visits. Based on many results, the (partial) probability distribution below was determined for the discrete random variable X = number of pieces of information remembered (during a fixed time period). What is the missing probability P(X=6)? Note that the missing probability should be reported to the second decimal place.
Answer:
X probability = 0.02
Cumulative frequency at x ( 6 ) = 1
Step-by-step explanation:
X P ( X ) Cf ( X )
1 0.58 0.58
2 0.18 0.58 + 0.18 = 0.76
3 0.10 0.76 + 0.10 = 0.86
4 0.07 0.86 + 0.07 = 0.93
5 0.05 0.93 + 0.05 = 0.98
6 0.02 0.98 + 0.02 = 1
Which statement best describes the expression fraction 1 over 2 x (14 − 6) x 6 + 4?
Answer:
Find half the difference of 14 and 6, multiply by 6, then add 4.(B)
Step-by-step explanation:
Eric's average income for the first 4 months of the year is $1,450.25, what must be his average income for the remaining 8 months so that his average income for the year is $1,780.75?
Answer:
Average income for the remaining 8 months = $2,111.25
Step-by-step explanation:
Given:
Average income of 4 months = $1,420.25
Annual average income = $1,780.75
Find:
Average income of 8 months
Computation:
⇒ Annual average income = [Average income of 4 months + Average income of 8 months] / 2
⇒ $1,780.75 = [$1,420.25 + Average income of 8 months] / 2
⇒ $3,561.5 = $1,420.25 + Average income of 8 months
⇒ Average income of 8 months = $3,561.5 - $1,420.25
Average income of 8 months = $2,111.25
The population of coyotes in the northwestern portion of Alabama is given by the formula p (t )equals (t squared plus 100 )ln (t plus 2 ), where t represents the time in years since 2000 (the year 2000 corresponds to t equals 0 ). Find the rate of change of the coyote population in 2002 (tequals2).
Answer:
The rate of change of the Coyote population in 2002 is 32
Step-by-step explanation:
Given the formula for the population of a Coyotes in the Northwestern portion of Alabama, we are to calculate rate of change of the Coyote population in the year 2002 where t = 2
The formula is given as;
P(t) = (t^2 + 100) ln (t + 2)
The rate of change refers to the first integral of the formula;
Thus we need to calculate this by the use of product formula;
The first differential of t^2 + 100 is 2t
while that of ln(t + 2) is 1/(t + 2)
P’(t) = 2t(ln (t+2)) + (t^2 + 100) (1/t+2)
Now, we substitute 2 for the value of t here.
P’(2) = 2(2)( ln (2 + 2) + (2^2 + 100)(1/(2+2))
P’(2) = 4 ln 4 + 104(1/4)
P’(2) = 4ln 4 + 26
P’(2) = 5.55 + 26 = 31.55 which is approximately 32
What’s the correct answer for this? Select all the ones that apply ?
Answer:
A and D
Step-by-step explanation:
Either rotate the dilated circle 180° about point C or Translate the dilated circle so that it's centre is at point B so that we come to know that the circles are similar
Rema spent 6 days reading her book, completing the same fraction of the book each day. If she read a total of StartFraction 8 Over 9 EndFraction of her book after 6 days, what fraction of the book did she read each day? StartFraction 5 Over 54 EndFraction of the book StartFraction 3 Over 27 EndFraction of the book StartFraction 7 Over 54 EndFraction of the book StartFraction 4 Over 27 EndFraction of the book PLZ HELP!!!!!!!!!!!!!!! 30 PTS!!!!!!!!!!!!!!!!!!!!!!
Answer:
4over27
Step-by-step explanation:
8over9 divided by 6 equals 8over54 which simplifies to 4over27
Answer:
4 over 27
Step-by-step explanation:
she spent 6 day reading, there 7 day in a week so we have to change it to 7 and four pages.
What’s the correct answer for this question?
Answer:
D.
Step-by-step explanation:
In the attached file
What value of x satisfies the system of equations {2x+5y=35x=−10−15y? Enter your answer as the correct value for x, like this: 42
Answer:
x = 23
Step-by-step explanation:
2x + 5y = 35 * (-3) ------> -6x -15y = -105 (A)
x = -10 - 15y -----> x + 15y = -10 (B)
(A) + (B)
-5x = -115
x = 23
Use the Divergence Theorem to compute the net outward flux of the field F=<-2x,y,-2z> across the surface S, where S is the boundary of the tetrahedron in the first octant formed by the planex+y+z=2.
The net outward flux across the boundary of the tetrahedron is:___________.
The net outward flux across the boundary of the tetrahedron is: -4
What is the gradient of a function in a vector field?
The gradient of a function is related to a vector field and it is derived by using the vector operator ∇ to the scalar function f(x, y, z).
Given vector field:
F = ( -2x, y, - 2 z )
[tex]\mathbf{\nabla \cdot F = ( i \dfrac{\partial }{\partial x }+ j \dfrac{\partial}{\partial y} + k \dfrac{\partial}{\partial z}) \langle -2x, y, -2z \rangle}[/tex]
[tex]\mathbf{ \nabla \cdot F = ( \dfrac{\partial }{\partial x }(-2x)+ \dfrac{\partial}{\partial y}(y) + \dfrac{\partial}{\partial z}(-2z))}[/tex]
= -2 + 1 -2
= -3
According to divergence theorem;
Flux [tex]\mathbf{=\iiint _v \nabla \cdot (F) \ dv}[/tex]
x+y+z = 2; [tex]1^{st}[/tex] Octant
x from 0 to 2y from 0 to 2 -xz from 0 to 2-x-y[tex]= \int\limits^2_0 \int\limits^{2-x}_0 \int\limits^{2-x-y}_0 -3dzdydx[/tex]
[tex]=-3 \int\limits^2_0 \int\limits^{2-x}_0 (2-x-y)dy dx[/tex]
[tex]= -3 \int\limits^2_0[(2-x)y - \dfrac{y^2}{2}]^{2-x}__0 \ \ dx[/tex]
[tex]= -3 \int\limits^2_0(2-x)^2 - \dfrac{(2-x)^2}{2} dx[/tex]
[tex]= -3 \int\limits^2_0\dfrac{(2-x)^2}{2} dx = - \dfrac{3}{2} \int\limits^2_0(4-4x+x^2) dx[/tex]
[tex]=- \dfrac{3}{2}(4x-x^2 + \dfrac{x^3}{3})^2_0[/tex]
[tex]=- \dfrac{3}{2}(8-8+\dfrac{8}{3})[/tex]
[tex]=- \dfrac{3}{2}(\dfrac{8}{3})[/tex]
= -4
Therefore, we can conclude that the net outward flux across the boundary of the tetrahedron is: -4
Learn more about the gradient of a function here:
https://brainly.com/question/6158243
Solve the system of equations y= x squared + 3x-6 and y=2x-6
Answer:
Slope = 4.000/2.000 = 2.000
x-intercept = 6/2 = 3
y-intercept = -6/1 = -6.00000
Step-by-step explanation:
Step by step solution :
Step 1 : Equation of a Straight Line
Graph of a Straight Line
Calculate the Y-Intercept
Calculate the X-Intercept
Calculate the Slope
Answer for y=2x-6 is below
Answer:
Slope = 4.000/2.000 = 2.000
x-intercept = 6/2 = 3
y-intercept = -6/1 = -6.00000
Hope this helps.
A machine in the student lounge dispenses coffee. The average cup of coffee is supposed to contain 7.0 ounces. A random sample of seven cups of coffee from this machine show the average content to be 7.4 ounces with a standard deviation of 0.70 ounce. Do you think that the machine has slipped out of adjustment and that the average amount of coffee per cup is different from 7 ounces
Answer:
[tex]t=\frac{7.4-7}{\frac{0.7}{\sqrt{7}}}=1.512[/tex]
The degrees of freedom are
[tex]df=n-1=7-1=6[/tex]
And the p value for this case is:
[tex]p_v =2*P(t_{(6)}>1.512)=0.181[/tex]
The p value is a higher value and using a significance levels of 5% or 10% we see that the p value is higher than the significance level and then we FAIL to reject the null hypothesis and we don't have enough evidence to conclude that the true mean is different from 7 ounces.
Step-by-step explanation:
Information provided
[tex]\bar X=7.4[/tex] represent the sample mean
[tex]s=0.7[/tex] represent the sample standard deviation
[tex]n=7[/tex] sample size
[tex]\mu_o 7[/tex] represent the value to verify
t would represent the statistic
[tex]p_v[/tex] represent the p value
System of hypothesis
We want to verify if the average amount of coffee per cup is different from 7 ounces, the system of hypothesis would be:
Null hypothesis:[tex]\mu = 7[/tex]
Alternative hypothesis:[tex]\mu \neq 7[/tex]
The statistic is given by:
[tex]t=\frac{\bar X-\mu_o}{\frac{s}{\sqrt{n}}}[/tex] (1)
Replacing the info given we got:
[tex]t=\frac{7.4-7}{\frac{0.7}{\sqrt{7}}}=1.512[/tex]
The degrees of freedom are
[tex]df=n-1=7-1=6[/tex]
And the p value for this case is:
[tex]p_v =2*P(t_{(6)}>1.512)=0.181[/tex]
The p value is a higher value and using a significance levels of 5% or 10% we see that the p value is higher than the significance level and then we FAIL to reject the null hypothesis and we don't have enough evidence to conclude that the true mean is different from 7 ounces.
pls pls help! ik it’s super simple but i’m slow
Can you guys help me out with this one too? Plzzzzz helppp
Answer:
I think that it would be A
Step-by-step explanation:
If it were not a sailor, I would say B, but a sailor can face a hurricane at sea.
If your target number of calories is 1200 per day to lose weight, but you are consuming 1100 calories per day, then your target is what percent of the calories you are consuming?
Answer:
109.090909....%(goes on indefinitely)
Step-by-step explanation:
If you are only consuming 1100, and your goal is 1200, as a percentage your target is 1200/1100 of what you are consuming. That simplifies to 12/11, which would mean as a percentage, your target is 109.0909090909...% of what you are consuming.
How many percent is the change in the price, if:The price was $160 and now it is $40?
Answer:
75% reduction
Step-by-step explanation:
The price dropped by $120. As a percentage of the original price, that is ...
-$120/$160 × 100% = -75%
The price changed by -75%.
Answer:
75% decrease.
Step-by-step explanation:
The original price is $160 and we went to $40.
That means the price got reduced by $120 in the process.
$120/$160 = 0.75 = 75%.
So in other words, we lost 75% of the price ($120) and got left with 25% of the price ($40).
I hope this helps!
MIDDLE SCHOOL MATH BRAINLEIST AND 5 STARS AS SOON AS YOU ANSWER!!!!!!!! PLEASE HELP AND THANKS SO MUCH IM SUPER GRATEFUL!!!!!!!!!!!
Answer:
Bottom prism: 126*11=1386
Top Prism: 2*45=90
Total volume: 1386+90= 1746 cubic cm
4. Automobile policies are separated into two groups: low-risk and high-risk. Actuary Rahul examines low-risk policies, continuing until a policy with a claim is found and then stopping. Actuary Toby follows the same procedure with high-risk policies. Each low-risk policy has a 10% probability of having a claim. Each high-risk policy has a 20% probability of having a claim. The claim statuses of polices are mutually independent. Calculate the probability that Actuary Rahul examines fewer policies than Actuary Toby.
Answer:
Step-by-step explanation:
for n ∈ N
Since Actuary Rahul examines low-risk policies, continuing until a policy with a claim is found and then stopping.
∴ the probability that Actuary Rahul examines exactly n policies
[tex](0.9)^{n-1}.(0.1)---(1)[/tex]
the probability that Actuary Toby examines more than exactly n policies
[tex](0.8)^n---(2)[/tex]
Given that policies are actually independent
∴ the probability that the event (1) and (2) happens simultaneously is
[tex](0.9)^{n-1}*(0.1)*(0.8)^n[/tex]
∴ the probability that Actuary Rahul examines fewer policies than Actuary Toby
[tex]\sum ^\infty _{n=1} (0.9)^{n-1}*(0.1)*(0.8)^n\\\\=(\frac{0.1}{0.9} \sum ^\infty _{n=1}(0.72)^n\\\\=\frac{1}{9} (\frac{0.72}{0.28} )\\\\=\frac{2}{7} \\\\=0.2857[/tex]
the probability that Actuary Rahul examines fewer policies than Actuary Toby is 0.2857Find the value of k to the nearest whole number.
Answer:
theres no picture or something for the value of k
*I am greater than 80
*I am less than 90
*I am an even number
*My digits (of the mystery number) add up to 12
What’s my number
Answer:
Step-by-step explanation:
84?
8+4 is 12, and 84 is greater than 80, and less than 90
Answer:
84
Step-by-step explanation:
Can someone please give me the answer to this?
Answer:
About 36.87
Step-by-step explanation:
The sine of an angle in a right triangle is the length of the opposite side divided by the length of a hypotenuse, which in this case is 3/5. Therefore, the measure of the angle is the arcsin of 3/5 or about 36.87 degrees. Hope this helps!
The difference of a rational number and an irrational number is ____ an irrational number. Which word correctly fills in the blank to create a true statement?
A) sometimes
B) always
C) never
Answer:
a
Step-by-step explanation:
The difference between a rational number and an irrational number is always an irrational number. The correct option is B.
What is a rational and irrational number?A Rational Number is a number of the form p/q, p & q are integers, and q ≠ 0. An irrational number is all real numbers except rational numbers i.e. it is a non-repeating and non-terminating decimal number or it can not be expressed in a ratio of two integers.
Further, natural numbers can be rational numbers. Also, all repeating and terminating decimals are rational.
The difference between a rational number and an irrational number is always an irrational number. For example:
2 - √3 is always an irrational number where 2 is rational and √3 is an irrational number.
Hence addition and subtraction of rational and irrational numbers is always an irrational number.
To know more about an irrational number follow
https://brainly.com/question/511377
#SPJ5
Pls show work ASAP
Multiplying polynomials
Answer:
Step-by-step explanation:
1. 6w*2v + 3*6w= 12vw + 18w
2. 7(-5v) - 7(8)= -35v - 56
3. 2x*(-2x) - 3(2x) = -4x^2 - 6x
4. -4*v - 4(1)= -4v - 4
5. 2n*6n + 2n + 2*6n + 2= 12n^2 + 14n + 2
6. 4n(2n) + 4n(6) + 2n + 6= 8n^2 + 26n + 6
7. x(6x) - 2x - 18x + 6 = 6x^2 - 20x + 6
8. 8p(6p) + 8p(2) - 2(6p) - 4 = 48p^2 + 16p - 12p - 4= 48p^2 + 4p - 4
9. 6p(5p) - 6p(8) + 8(5p) - 40= 30p^2 - 48p + 40p - 40= 30p^2 - 8p - 40
10. 3m(8m) + 3m(7) - 8m - 7 = 24m^2 + 21m - 8m - 7= 24m^2 + 13m - 7
11. 2a(8a) - 2a(5) - 8a + 5 = 16a^2 - 10a - 8a + 5 = 16a^2 - 18a + 5
12. 5n(5n) - 5n(5) + 6(5n) - 6(5)= 25n^2 - 25n + 30n - 30= 25n^2 + 5n - 30
13. 4p(4p) - 4p - 4p + 1 = 16p^2 - 8p +
14. 7x(5x) + 7x(6) -6(5x) - 6(6)= 35x^2 + 42x - 30x - 36= 35x^2 + 12x - 36