Answer:
The equation of the circle is
[tex](x - h) {}^{2} + (y - k) = {r}^{2} [/tex]
where (h,k) is the center and r is the radius.
The center is (-1,1) so plug that in the equation.
[tex](x - ( - 1)) {}^{2} + (y - 1) {}^{2} = {r}^{2} [/tex]
[tex](x + 1) {}^{2} + (y - 1) {}^{2} = {r}^{2} [/tex]
The radius of the circle is 3 so plug that in for r.
[tex](x + 1) {}^{2} + (y - 1) {}^{2} = {3}^{2} [/tex]
[tex](x + 1) {}^{2} + (y - 1) {}^{2} = 9[/tex]
Which of the following is an open statement?
A. 20 is an even number
B. 21 is positive number
C. x is an even number
D. 21 is an even number
Answer:
C. x is an even number
Step-by-step explanation:
The open statement is x is an even number. The correct option is C.
What is an open statement?A statement (as in mathematics) that contains at least one blank or unknown and that becomes true or false when the blank or unknown is filled in or a quantity is substituted for the unknown. The sentences "n + 5 = 3" and "it is divisible by 6" are both open sentences.
here te open statement is given as x is an even number because the statement says that there is an unknown number which is even in nature. So there is a blank for the number the number can be anything from all the even numbers.
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Kayla read 12 1/2 pages on Friday. she did 3/4 of her reading before dinner. how many pages did she read before dinner (equation)
Answer:
Number of pages Kayla read before dinner = [tex]9\frac{3}{8}[/tex] pages
Step-by-step explanation:
Given:
Total number of pages Kayla read on Friday = [tex]12\frac{1}{2}[/tex] = 25/2 pages
Number of pages Kayla read before dinner = [3/4][Total pages she read]
Find:
Number of pages Kayla read before dinner
Computation:
Number of pages Kayla read before dinner = [3/4][Total pages she read]
Number of pages Kayla read before dinner = [3/4][Number of pages Kayla read before dinner]
Number of pages Kayla read before dinner = [3/4][25/2]
Number of pages Kayla read before dinner = 75/8
Number of pages Kayla read before dinner = [tex]9\frac{3}{8}[/tex] pages
Two sprinters, Victor and Aaron, want to find out who has the faster time when compared to each of their teams. Victor has a time of 10.9 seconds, and his team has a mean time of 11.4 seconds and a standard deviation of 0.2 seconds. Aaron has a time of 10.6 seconds, and his team has a mean of 11.5 seconds and a standard deviation of 0.1 seconds. Who has the faster time when compared to each of their teams
Answer:
The answer is "-9".
Step-by-step explanation:
[tex]\mu = 11.4\\\\\sigma = 0.2\\\\ x = 10.9\\\\[/tex]
[tex]P(X <= 10.9)=?[/tex]
The z-value is determined using the central boundary theorem
[tex]z = \frac{(x - \mu)}{\sigma}[/tex]
[tex]= \frac{(10.9 - 11.4)}{0.2}\\\\ = -2.5[/tex]
Calculating the value for Aaron
[tex]\mu = 11.5\\\\ \sigma = 0.1\\\\ x = 10.6\\\\ P(X <= 10.6)=?[/tex]
When the z-value is calculated using Central Limit Theorem
[tex]z = \frac{(x - \mu)}{\sigma}[/tex]
[tex]= \frac{(10.6 - 11.5)}{0.1}\\\\ = -9[/tex]
Answer:
The times are equal when compared to each of their teams.
Step-by-step explanation:
11) The temperature is recorded at 60 airports in a region. The average temperature is 67 degrees Fahrenheit with standard deviation of 5 degrees. What is the probability that a that temperature is greater than 68 degrees?
A company that manufactures light bulbs finds one out of every twenty
light bulbs are defective (broken). In a sample of 100 light bulbs, how many
should the company expect to be defective? (YOU CAN PUT A WHOLE
NUMBER FOR THE ANSWER)
Answer: 5
Step-by-step explanation: P(broken bulb) = 1/20 =0.05
Estimated value E = np = 100·0.05 = 5
Someone tell me the answer
Answer:
For repeating decimal numbers like the decimals given in the data, you need to place a 9 in the denominator. For example, if the repeating decimal is 0.777777777..., the fraction should be 7/9 or if the repeating decimal is 0.567567567567..., the fraction should be 567/999. (The number of 9's depends on the amount of numbers being repeated.) In this case, because the repeating decimal is 0.88888888..., the fraction should be 8/9 and because the repeating decimal is 0.45454545..., the fraction should be 45/99 or 5/11.
Here's a visual representation from fraction to decimal for the first one:
Plz help me What is the x-coordinate of the point (6, 8)?
Answer:
6
Step-by-step explanation:
(X,Y)
Rewrite ln x = 8 as an exponential function.
A- ln x + 8 = y
B- ln 8 = x
C- e8 = x
D- ex = 8
Answer:
the answer is going to be b because u going to say In8=×
Probability!
the desks in a classroom are organized into four rows of four columns. each day the teacher randomly assigns you to a desk. you may be assigned to the same desk more than once. over the course of 5 days, what is the probability that you are assigned to a desk in the front row exactly twice?
answer:
12.5%
explain:
16 seats= 6.25% for each seat
4/16=25%
the chances of it happening again is 12.5%
The probability that you are assigned to a desk in the front row exactly twice is 12.5%.
What is probability?Probability is defined as the ratio of the number of favourable outcomes to the total number of outcomes in other words the probability is the number that shows the happening of the event.
Probability = Number of favourable outcomes / Number of sample
Given that the desks in a classroom are organized into four rows of four columns. each day the teacher randomly assigns you to a desk. you may be assigned to the same desk more than once. over the course of 5 days,
The probability will be calculated as,
16 seats = 6.25% for each seat
4/16=25%
The chances of it happening again are 12.5%
Therefore, the probability that you are assigned to a desk in the front row exactly twice is 12.5%.
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A frog is sitting on the ground when he is scared by a big dog. His movement is
modeled by the equation h = -16t2 + 6t where h is the frog's height at any
given time, t. How many seconds until the frog is back on the ground?
0.5 seconds
1.5 seconds
2 second
1 second
Find the exact values of the six trigonometric functions of the given angle. If any are not defined, say "not defined." Do not use a calculator. -135^{\circ}−135
Answer:
Step-by-step explanation:
Let's take a look at the given angle 135°
The sketch of the angle which corresponds to [tex]-\dfrac{3\pi}{4}[/tex] unit circle and can be seen in the attached image below;
The trigonometric ratios are as follows for an angle θ on the unit circle:
Trigonometric ratio related ratio on coordinate axes
sin θ [tex]\dfrac{y}{1}[/tex]
cos θ [tex]\dfrac{x}{1}[/tex]
tan θ [tex]\dfrac{y}{x}[/tex]
csc θ [tex]\dfrac{1}{y}[/tex]
sec θ [tex]\dfrac{1}{x}[/tex]
cot θ [tex]\dfrac{x}{y}[/tex]
From the sketch of the image attached below;
The six trigonometric ratio for 135° can be expressed as follows:
[tex]sin (-\dfrac{3\pi}{4})= \dfrac{y}{1}[/tex]
[tex]sin (-\dfrac{3\pi}{4})=- \dfrac{\sqrt{2}}{2}[/tex]
[tex]cos (-\dfrac{3\pi}{4})= \dfrac{x}{1}[/tex]
[tex]cos (-\dfrac{3\pi}{4})= -\dfrac{\sqrt{2}}{2}[/tex]
[tex]tan (-\dfrac{3\pi}{4})= \dfrac{y}{x}[/tex]
[tex]tan (-\dfrac{3\pi}{4})= \dfrac{-\dfrac{\sqrt{2}}{2}}{-\dfrac{\sqrt{2}}{2}}[/tex]
[tex]tan (-\dfrac{3\pi}{4})= -\dfrac{\sqrt{2}}{2}} \times {-\dfrac{2}{\sqrt{2}}[/tex]
[tex]tan (-\dfrac{3\pi}{4})= 1[/tex]
[tex]csc (-\dfrac{3\pi}{4})= \dfrac{1}{y} \\ \\ csc (-\dfrac{3\pi}{4})=\dfrac{1}{-\dfrac{\sqrt{2}}{2}} \\ \\ csc=1 \times -\dfrac{2}{\sqrt{2}} \\ \\csc =-\sqrt{2}[/tex]
[tex]sec (-\dfrac{3 \pi}{4})=\dfrac{1}{x} \\ \\ sec = \dfrac{1}{(-\dfrac{\sqrt{2}}{2})} \\ \\ sec = 1 \times -\dfrac{2}{\sqrt{2}} \\ \\ sec = - \sqrt{2}[/tex]
[tex]cot(-\dfrac{3 \pi}{4}) = \dfrac{x}{y} \\ \\ cot(-\dfrac{3 \pi}{4}) = \dfrac{-\dfrac{\sqrt{2}}{2} }{-\dfrac{\sqrt{2}}{2}} \\ \\ cot(-\dfrac{3 \pi}{4})= -\dfrac{\sqrt{2}}{2} } \times {-\dfrac{2}{\sqrt{2}}} \\ \\ cot (-\dfrac{3 \pi}{4}) = 1[/tex]
A rectangular parking lot has a perimeter of 88 meters. The length of the parking lot is three times the width. Find the length and the width.
Answer:
Length = 33 m
Width = 11 m
Step-by-step explanation:
l = 3w
2l + 2w = 88
l + w =44
Subsitiute for l
3w + w = 44
4w = 44
w = 11
l = 3(11)
l = 33
Brainliest☻
Which relation symbol makes this number sentence true?
4/5 ___ 9/12
=
≠
Answer:
≠
Step-by-step explanation:
4/5 ≠ 9/12
≠ is the answer.
Answer:
≠
Step-by-step explanation:
First, find a common denominator
Let's use 60
Convert each fraction to a fraction with a denominator of 60
4/5 = 48/60
9/12 = 45/60
48/60 ≠ 45/60 so 4/5 ≠ 9/12
please help me asap !!!!!!
Answer:
D
Step-by-step explanation:
Pretty sure its D
A line has a slope of 8 and a y -intercept of 5. What is its equation in slope -intercept form? Write your answer using integers, proper fractions, and improper fractions in simplest form.
Answer:
Step-by-step explanation:it’s abc
f(x) = x2. What is g(x)?
A. g(x)=1/5x^2
B. g(x) = 5x^2
c. g(x) = 25x²
D. g(x) = (5x)2
i’m need of help right now please please please
Answer:
B. y = 5x²
Step-by-step explanation:
As you can see, g(x) is a proper parabola, so it must be some variation of y = x².
Because the vertex of the parabola remains at (0, 0), know that there is no translation, so all we need to account for is the scale.
In the graph we can see that where x is equal to 1, y is equal to 5. On a normal parabola that would instead be (1, 1), so we know that the y axis is scaled by a factor of five. With that we can say that y = 5x².
what point has coordinates (3 1/2, 1)
A. Point J
B. Point M
C. Point N
D. Point O
Answer:
The answer is B Point M
Hope this helps as well! :)
Step-by-step explanation:
Find the Area of the Triangle
Answer:
50 squared m
Step-by-step explanation:
Volume for triangles is base x hight / 2
10 x 10 = 100 / 2 = 50
Helpppp please please THIS IS TIMED NO LINKS or I will report YOUU I WILL MARK BRAINLIEST Please give me an explanation
Answer:
14800
Step-by-step explanation:
Area of trapezoid = [tex]A=\frac{a+b}{2}h[/tex]
Using the formula above, our equation will look like this:
[tex]\frac{145 + 225}{2} * 80 = 14800[/tex]
145 + 225 = 370
370/2 = 185
185 * 80 = 14800
PLZ GIVE BRAINLIEST
Which statement describes the solution(s) to the system of equations -6x -3y =12 and -12x -6y= -24?
A. The system has a solution of (-2, -1)
B. The system has a solution of (3, -2)
C. The system has no solution.
D. The system has infinitely many solutions.
Answer:
C
Step-by-step explanation:
i had the same question on my test lol
Solve the following equation by elimination method
2x + y = 25
3x – 2y = 20
Answer:
First multiply the first equation by 2
2(2x + y = 25)
You'll have
4x + 2y = 50
Rewrite both equations
4x + 2y = 50
3x - 2y= 20
Add from the first equation you'll get
7x = 70... X = 10
Substitute x in one of the equations:
3(10) - 2y = 20
30 - 2y = 20
-2y = -10
y = 5
Please answer correctly this is 50% of my grade.....
Answer:
4y - 12
Hope that helps! :)
-Aphrodite
Step-by-step explanation:
Answer:
4y - 12
(to answer, type a 4 in the first box and a 12 in the other)
Step-by-step explanation:
Multiply 4 to the values inside of the parentheses:
4 * y - 4 * 3 =
4y - 12
Look at the two temperatures. How much have they changed by?
4 degrees to -10 degrees
Answer:
[tex] \displaystyle 14[/tex]
Step-by-step explanation:
we are given two temperature
4 degrees and -10 degrees
since it says to figure out the changed
substract
[tex] \displaystyle 4 - ( - 10)[/tex]
remove parentheses and change its sign
[tex] \displaystyle 4 + 10[/tex]
simplify addition:
[tex] \displaystyle 14[/tex]
and we are done!
6. Given h(x) =12+x2 find h(-5)
If the cones below are similar, what is the ratio of the surface area of Cone A to the surface area of Cone B? 21 in 35 in Cone B Cone A
Answer: the answer is 25:9
Step-by-step:
there’s no explanation i just did the assignment and guessed
(i’m sorry for no explanation just trust me that the answer is 25:9)
multiply 8(-p+8) plz
Answer:
-8p+64
Step-by-step explanation:
Multiply each term in parentheses by 8
8×-p= -8p
-8p+8×8 (8×8=64)
= -8p+64
Determine the nature of the solution(s) of
5w2 – 2w= -4
A- one real, rational solution
B- two real, irrational solutions
C- two imaginary solutions
D- two real, rational solutions
Answer:
Step-by-step explanation:
This is a quadratic equation. We'll find the discriminant, but must first rewrite this equation in standard form:
5w2 – 2w + 4 = -4 + 4, or 5w^2 - 2w + 4 = 0
The coefficients of the w terms are {5, -2, 4}
and so the discriminant b^2 - 4ac is 4 - 4(5)(20) = -396
Because the discriminant is negative, we know that there will be two unequal, complex solutions.
Katie bought 2 blocks of cheese and 3 loaves of bread for $12.00. Jenny bought 4 blocks of cheese and 2 loaves of bread for $ 16.00. How much does each block of cheese cost? How much does each loaf of bread cost?
Answer:
cheese = $3 load of bread = $2
Step-by-step explanation:
to check:
2c + 3b = 12
2(3) + 3(3) = 12
6+6=12
Calculate the magnitude and angle of the vector.
B = −2x+2y
Answer:
Magnitude: [tex]2\sqrt{2}[/tex], Angle: 135 degrees
Step-by-step explanation:
The magnitude of the vector ax + by is
[tex]\sqrt{a^2+b^2}\\\\\sqrt{(-2)^2+2^2}\\\\\sqrt{4+4}\\\\\sqrt{8}\\\\2\sqrt{2}[/tex]
The angle (in Standard Position) is 135 degrees.
See attached images.
Order the steps for solving this equation using the quadratic formula
X^2 + 3x - 4 = 0
Answer:
Step-by-step explanation:
The steps required to solve the given equation is required.
First step: Identify a = 1, b = 3 and c = -4
Second step: [tex]x=\dfrac{-3\pm \sqrt{3^2-4\times 1\left(-4\right)}}{2\times1}[/tex]
Last step: x = 1 and x = -4
Quadratic equationThe given equation is
[tex]x^2+3x-4=0[/tex]
Comparing with the general quadratic equation [tex]ax^2+bx+c=0[/tex] we have
a = 1
b = 3
c = -4
Applying the formula
[tex]x=\dfrac{-b\pm\sqrt{b^2-4ac}}{2a}\\\Rightarrow x=\dfrac{-3\pm \sqrt{3^2-4\times 1\left(-4\right)}}{2\times1}\\\Rightarrow x=1\ \text{and}\ -4[/tex]
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