Answer:
B:(x-2)^2+(y-1)^2=64
Step-by-step explanation:
center is (2,1), point is (2,9)
so the radius=9-1=8
(x-2)^2+(y-1)^2=64
Verify which of the following are identities.
Answer:
Only the second equation is an identity
Step-by-step explanation:
1)
[tex]1+\dfrac{\cos^2\theta}{\cot^2\theta(1-\sin^2\theta)}= \\\\\\1+\dfrac{\cos^2\theta}{\cot^2\theta(\cos^2\theta)}= \\\\\\1+\dfrac{1}{\cot^2 \theta}= \\\\\\1+\tan^2\theta=\sec^2\theta\neq 2\sec^2 \theta[/tex]
This one is not an identity.
2)
[tex]19\cos \theta\left( \dfrac{1}{\cos \theta}-\dfrac{\tan \theta}{\csc \theta} \right)= \\\\\\19\cos \theta \left( \dfrac{1}{\cos \theta}-\dfrac{\sin^2 \theta}{\cos \theta} \right)= \\\\\\19\cos \theta \left( \dfrac{1-\sin^2 \theta}{\cos \theta}\right)= \\\\\\19\cos \theta \left( \dfrac{\cos^2 \theta}{\cos \theta}\right)= \\\\\\19\cos \theta (\cos \theta)= \\\\\\19\cos^2 \theta = 19\cos^2 \theta[/tex]
This one is an identity. Therefore, only the second equation is an identity. Hope this helps!
Answer:
the person above me is right :)
Step-by-step explanation:
Please answer correctly !!!! Will mark brianliest !!!!!!!!!!!
Answer:
6
Step-by-step explanation:
[tex]f(6)=-6 \\\\g(5)=-5\\\\4\cdot f(6)-6\cdot g(5)=\\\\-24+30=\\\\6[/tex]
Hope this helps!
For the Black Panther Trip 420 students were scheduled to go. After collecting more parent surveys, 15% more students are going on the trip. Each admission ticket cost $22.75. What was the total amount paid for all the tickets purchased?
Answer: $ 10,988.25
Step-by-step explanation:
Hi, to answer this question, first we have to multiply the original number of students scheduled to go to the trip (420) by the added students’ percentage (15%) in decimal form (divided by 100)
420 x (15/100) = 420 x 0.15 = 63 students added
Adding the number of extra students to the original number:
420+63 = 483 students (total number of students)
Finally, we have to multiply the result by the cost of each admission ticket (22.75)
483 x 22.75 = $ 10,988.25
You're making dessert but your recipe needs adjustment. Your chocolate chip cookie recipe makes 4 dozen cookies, but you need 3
1
dozen cookies. If the recipe requires 15 cups of butter, 5 teaspoons of baking powder, and 2 cups of pecans, how much of each of
these ingredients are necessary for 3 dozen cookies? Simplify your answer
Answer:
Butter = (3*15) / 4 = 45/4 = 11 1/4 tsp
Baking powder = (3*5) / 4 = 15/4
= 3 3/4 tsp
Pecans = (3 * 2) / 4 = 6/4
= 3/2 = 1.5 cups
Here, we are required to determine how much of each of these ingredients are necessary for 3 dozen cookies
The ingredients are;
11 and 1 quarter cups of butter is needed.3 and 3 quarters teaspoons of baking powder are needed.1 and a half cups of peacans are needed.Therefore, for 3 dozen cookies; 3 quarters of the requirements for 4 dozen cookies;
Cups of butter needed = (3/4) × 15 = 11.25Teaspoons of baking powder needed = (3/4)× 5 = 3.75Cups of peacans needed = (3/4)× 2 = 1.5Ultimately,
11 and 1 quarter cups of butter is needed.3 and 3 quarters teaspoons of baking powder are needed.1 and a half cups of peacans are needed.Read more:
https://brainly.com/question/19473677
A special die has a number on each face. The sums of the opposite faces are all equal. Five of the numbers are 5,6,9,11, and 14. What number is on the sixth face?
Answer:
The missing number is 15.Step-by-step explanation:
The sum of the opposite faces is 20, because 14 + 6 = 20 and 11 + 9 = 20, so we just need to find the answer to the equation
5 + x = 20
Solving for x, we have
x = 20-5
x = 15.
Therefore, the missing number is 15.
Here's the question. Please awnser ASAP
Answer:
the answer is A because the pair of ratios are equivalent.
Find the volume of the pyramid.
Answer:
62.5 in cubed
Step-by-step explanation:
The formula is l*w*h divided by 3
5*5= 25
and 25*7.5= 187.5
187.5/3= 62.5
Pls mark brainliest!!
Answer:
[tex]62.5 {in}^{3} [/tex]
Step-by-step explanation:
[tex]v = \frac{whl}{3} \\ = \frac{5 \times 5 \times 7.5}{3} \\ = 62.5 {in}^{3} [/tex]
hope this helps
brainliest appreciated
good luck! have a nice day!
Give complete answers that show all steps! :)
Answer:
Rise: 200.25
Descent 300.2
Minutes
Step-by-step explanation:
A) We are using the Pythagorean theorem for the climb and descent. (a^2 + b^2 = c^2)
For climb a = 200, b = 10 c = ?
200^2 + 10^2 = c^2 = 40000 + 100 = c^2 = 40100 = c^2
c = about 200.25
For the descent: a = 300, b = 10
300²+10² = c²
90000 + 100 = c²
90100 = c²
c = about 300.2
B) If a plane is going 600 km/h and it goes about 10 km that means the plane is only going for 10/600 of an hour.
10/600 is 1/60, so only a couple minutes difference.
What should be added to both sides of this equation to solve for the variable?
-6 + f = 13
Answer:
Nesesito ayuda sobre estas dos preguntas la1 y la ocho pero tiene que tener sentido con las demas
Step-by-step explanation:
Answer:
1. 6 should be added to both sides
2. f=19
Step-by-step explanation:
When solving equations like this, we have to isolate the variable. To do this, perform the inverse operation to both sides of the equation.
-6+f=13
This can be rewritten as:
f-6=13
6 is being subtracted from f. In order to get f by itself, we have to get rid of the 6 being subtracted from f. The inverse of subtraction is addition. Add 6 to both sides.
f-6+6=13+6
f= 13+6
f=19
Can someone teach me how to do this
What is the value of the angle marked with x
Answer:
50
Step-by-step explanation:
opposite angles are equal so 50 is corresponding with x
Answer:
x = 50
Step-by-step explanation:
Parallelogram have opposite sides parallel and equal in length. The opposite angles are equal.
x = 50
John is selling tickets to an event. Attendees can either buy a general admission ticket, x, or a VIP ticket, y. The general admission tickets are $55 in the VIP tickets are $70. If he knows he sold a total of 25 tickets and made $1480 how many of each type did he sell?
Answer:
Step-by-step explanation:
55x + 70y = 1480
x + y = 25
55x + 70y = 1480
-55x -55y = -1375
15y = 105
y = 7 VIP tickets sold
x + 7 = 25
x = 18 general admission tickets
(18,7)
To cover a distance of 240 km has to increase a speed of 5 per hour to reach in time time. If the time Lost was 40 minutes during traffic find the original speed
Answer:
The initial speed is approximately 104.3 km
Step-by-step explanation:
Let Distance = 240 km
Time = ?
Speed =
Since
Speed = Distance/Time
Distance = Speed × Time
When arrival is late:
240 = S×T
When arrival is on time:
240 = (S+5)×T2
But 40minutes = 2/3 hours
So,
T2 = T - 2/3
240 = (S+5)×(T - 2/3)
240 = ST - 2S/3 + 5T - 10/3
ST - 2S/3 + 5T = 240 + 10/3
S(T - 2/3) + 5T = 730/3
S(T - 2/3) = 730/3 - 5T
S = (730/3 - 5T)/(T - 2/3)
But 240 = ST
S = 240/T
240/T = (730/3 - 5T)/(T - 2/3)
(T - 2/3)/T = (730/3 - 5T)/240
1 - 2/3T = 730/720 - 5T/240
1 + 73/72 = (2/3 + 5/24)T
145/72 = (7/8)T
T = 145/72 × 8/7
= 1160/504
T = 145/63
S = 240/S
= 240×63/145
= 3024/29
≈ 104.3km
write the next three multiples of 9
36,
Answer:
45,54,63
Step-by-step explanation:
The multiples of 9 are
9,19,27,36,45,54,63,72,81
The three multiples are 36 are
45,54,63
Answer:
9, 36, 45, 54, 63
Step-by-step explanation:
Mia is taking a multiple choice test with a total of 50 points available. Each question is worth exactly 2 points. What would be Mia's test score (out of 50) if she got 3 questions wrong? What would be her score if she got xx questions wrong?
Answer:
25
Step-by-step explanation:
Mia is taking a multiple choice test with a total of 50 points available. Each question is worth exactly 2 points. What would be Mia's test score (out of 50) if she got 3 questions wrong? What would be her score if she got xx questions wrong?
Answer:
$38
$56
Step-by-step explanation:
These cones are similar. Find the volume
of the smaller cone. Round to the
nearest tenth.
Answer:
29.30cm^3Step-by-step explanation:
If the two cone are similar then the heights are the same
let us find the height of the bigger cone
[tex]volume of cone= \frac{1}{3} \pi r^2h[/tex]
For the bigger cone
r= 3cm
v= 66cm^3
[tex]66=\frac{1}{3}*3.142*3^2*h\\ 66=\frac{28.278}{3} *h\\h*28.278=198\\h=\frac{198}{28.278} =7cm[/tex]
For the smaller cone
r=2cm
v=?
h=7cm
[tex]v=\frac{1}{3}*3.142*2^2*7\\\v=\frac{87.976}{3} \\\\\v=29.30cm^3[/tex]
Answer:
19.6
Step-by-step explanation:
[tex]66=(\frac{3}{2} )^{3} =\frac{27}{8}[/tex]
[tex]\frac{66 x8}{27} = 19.5555555556=19.6[/tex]
[tex]x=[/tex] · [tex]( multiplication symbol )[/tex]
Suppose your SAT score is 1490. You look up the average SAT scores for
students admitted to your preferred colleges and find the list of scores below.
Based on your SAT score of 1490, which average score below represents the
college that would be your best option?
Q A. 1470
B. 900
O C. 1420
O D. 1190
How many square inches are in 60 ft.
Can someone help me please thank you it’s geometry
Answer:
alternate exterior angles
Step-by-step explanation:
The two horizontal lines are simply two lines.
The other line is a transversal since it intersect the two lines at two different points.
Angles 1 and 8 are on two different sides of the transversal. That makes them alternate angles. They are on the outside of the two lines. That makes them exterior angles. Put the two things together and they are:
alternate exterior angles
HELP FAST 5√6 As a Whole Radical
Answer:
sqrt(150)
Step-by-step explanation:
We want to write the whole number inside the radical
5 = sqrt(5*5)
We know that sqrt(a) sqrt(b) = sqrt(ab)
5 * sqrt(6)
sqrt(5*5) * sqrt(6)
sqrt(5*5*6)
sqrt(150)
Answer:
[tex]\sqrt{150}[/tex]
Step-by-step explanation:
since the 5 is out of the sqrt root, you need to ^2 to put it back in again.
[tex]5^{2}[/tex]=25
and then in the sqrt you multiply the two variables
6* 25 = 150
so the answer is sqrt{150}
Enter a number in the box to complete the sentence. Give your answer to the nearest half-hour.
When lit, a candle loses 5% of its original height every hour. Jennifer lit a candle with an original height of 8 inches.
Until the candle has been burning for at least _____ hours, the height of Jennifer's candle will be more than 7 inches.
Please help me answer this I'm currently taking the end of the year assessment right now!!
Answer:
2.5 hours
Step-by-step explanation:
To solve this question we can use the exponencial function:
P = Po * (1 + r)^t
Where P is the final value, Po is the inicial value, r is the rate and t is the time.
In this case, we have Po = 8, P = 7 and r = -5% = -0.05. So, we can solve for t:
7 = 8 * (0.95)^t
0.95^t = 0.875
log(0.95^t) = log(0.875)
t * log(0.95) = -0.1335
t * (-0.0513) = -0.1335
t = -0.1335 / (-0.0513) = 2.6023 hours
Rounding to the nearest half-hour, we have t = 2.5 hours
Answer:
2.5
Step-by-step explanation:
I had this question and got it right
Given the coordinates for the function below which of the following are coordinates for its inverse
Answer:
Not sure but I believe it is A
Step-by-step explanation:
The coordinates of the inverse function would be, ($0.08, $1.00), ($0.16, $2.00), ($0.24, $3.00), ($0.52, $6.50), ($0.80, $10.00)
The correct answer is an option (B)
What is a function?"It defines a relation between input and output values.""In function, for each input there is exactly one output."What is inverse function?"It is a function that serves to “undo” another function.""The inverse function of y = f(x) is [tex]x=f^{-1}(y)[/tex]. "For given question,
We have been given a function.
We need to find the coordinates of the inverse function.
We know, the coordinates of the inverse of a function obtained by interchanging the first and second elements of each pair.
So, the coordinates of the inverse function would be, ($0.08, $1.00),
($0.16, $2.00), ($0.24, $3.00), ($0.52, $6.50), ($0.80, $10.00)
Therefore, the coordinates of the inverse function would be, ($0.08, $1.00), ($0.16, $2.00), ($0.24, $3.00), ($0.52, $6.50), ($0.80, $10.00)
The correct answer is an option (B)
Learn more about inverse function here:
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Angela is following this recipe to make biscuits.
Angela uses 3.37 of syrup.
How much sugar is needed in kg?
Recipe: Makes 14 biscuits
120 g margarine
150 g sugar
275 ml syrup
200 g oats
60 g sultanas
Answer:
150 G sugar. ⬅️CORECT ANSWER
Solve tan^2 theta + 1 = -2 tan theta on the interval 0° ≤ θ ≤ 360°.
Answer:
Step-by-step explanation:
[tex]tan^2 \theta+1=-2 \tan \theta \\tan^2 \theta +2 tan \theta +1=0\\(tan \theta+1)^2=0\\tan \theta=-1=-tan 45=tan (360-45)=tan 315\\\theta =315 ^\circ[/tex]
There are 350 Families lives in the small town of America. A poll of 50 families revealed the mean annual church contribution is $550 with the standard deviation of $ 75.Construct the 95% confidence interval for the mean annual contribution
Answer:
$550+/-$20.79
= ( $529.21, $570.79)
Therefore, the 95% confidence interval (a,b) = ( $529.21, $570.79)
Step-by-step explanation:
Confidence interval can be defined as a range of values so defined that there is a specified probability that the value of a parameter lies within it.
The confidence interval of a statistical data can be written as.
x+/-zr/√n
Given that;
Mean x = $550
Standard deviation r = $75
Number of samples n = 50
Confidence interval = 95%
z(at 95% confidence) = 1.96
Substituting the values we have;
$550+/-1.96($75/√50)
$550+/-1.96($10.60660171779)
$550+/-$20.7889393668
$550+/-$20.79
= ( $529.21, $570.79)
Therefore, the 95% confidence interval (a,b) = ( $529.21, $570.79)
Is 8.26 an irrational number
Answer:
no it is not
Step-by-step explanation:
Three more than the product of two and a number
Answer:
2x+3
Step-by-step explanation:
+3 " three more than"
2x " the product of two and a number"
2x+3 " three more than the product of two and a number"
how do you Solve. 21r<7
Answer:
r < 1/3
Step-by-step explanation:
21r<7
Divide each side by 21
21r/21<7/21
r < 1/3
Answer:
[tex] r < \frac{1}{3} \\ [/tex]
Step-by-step explanation:
[tex]21 \: r < 7 \\ \frac{21 \: r}{21} < \frac{7}{21} \\ r < \frac{1}{3} [/tex]
hope this helps
brainliest appreciated
good luck! have a nice day!
r(s+t)=u
options:
t=u−s/r
t=u/r−s
t=u/r+s
t=ru−s
Answer:
t = u/r -s
Step-by-step explanation:
r(s+t)=u
Divide each side by r
r/r(s+t)=u/r
s+t = u/r
Subtract s from each side
s+t-s = u/r -s
t = u/r -s
in what ways can the graph of a linear function be transformed
Answer:
Using Transformations
Step-by-step explanation:
If paint cost $24 and their is a sale for the next month, and the discount is 25% off paint, how much will the paint be after if you buy it during the sale?
