Find the equation of the circle whose center and radius are given. center ( 7, -3), radius = √7
Answer & Step-by-step explanation:
The equation of a circle is...
[tex](x-x1)^2+(y-y1)^2=r^2[/tex]
So all we have to do is plug in the numbers we are given.
So, the equation of the circle is (x - 7)² + (y + 3)² = √7²
Answer:
[tex](x - 7)^{2} + (y + 3)^{2} = 7[/tex]
Step-by-step explanation:
Just finished this quiz and checked the answer key.
Hope this helps
Please help! Correct answer only please! I need to finish this assignment by today.
Doug is birdwatching at the coast. He records each bird he sees.
What is the experimental probability that the next bird Doug sees will be a cormorant?
Simplify your answer and write it as a fraction or whole number.
Answer:
1/2
Step-by-step explanation:
During his time bird watching, he sees 1+1+5+8+1=16 different birds in total. Out of those, 8 are cormorant, which means that the experimental probability that the next one is is 8/16=1/2. Hope this helps!
I need help please I need to get the right answer
Answer:
33
Step-by-step explanation:
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What is the equation of the following line? Be sure to scroll down first to see all answer options.
Answer:
C
Step-by-step explanation:
Since the graph hits 0 at x = 0, your y intercept is 0.
The graph is decreasing which means you have a negative slope.
They gave you a coordinate so use it to find the slope.
[tex]\frac{1-0}{-3-0} = \frac{-1}{3}[/tex]
That's your slope.
C is the correct answer.
y=-1/3x
mark brianliest if my answer suits ur question.
Please answer correctly !!!!! Will mark brainliest !!!!!!!!!!!
Answer:
no
Step-by-step explanation:
Which equation can be used to solve for in the following diagram?
3.
30°
Choose 1 answer:
3x = 30
© 3.r +30 +90 = 180
3x + 30 = 90
90 3.2 - 30
Answer:
[tex] \boxed{3x\degree = 30\degree} [/tex]
Explanation:
Vertically opposite angles are equal.
If f(x) = 5x + 40, what is f(x) when x = –5? pls help a. -9 b. -8 c. 7 d, 15
Answer:
D.
Step-by-step explanation:
f(5) = -25 + 40
f(5) = 15
Answer:
The answer is D) 15
Step-by-step explanation:
F(x)= 5x + 40 (substitute -5 for x)
= F(x)= 5(-5)+ 40
= F(x)= -25+40
F(x)= 15
Sierra Movie Theater sold 189
tickets for $9.25 each on Friday
night. What was the total amount
of ticket sales for that night?
Answer:
$1748.25
Step-by-step explanation:
Multiply:
($9.25/ticket)(189 tickets) = $1748.25 (total amount of ticket sales)
When a number is tripled, it gives the same result as when 32 is added to it.
What is the number?
Answer:
The number is 16.
Step-by-step explanation:
3x=32+x
2x=32
x=16
A number that when tripled, gives the same result as when 32 is added to it is 16.
Let the unknown number be x.In this exercise, you're required to solve for an unknown number, that when tripled has the same value as when 32 is added to it.
Translating the word problem into an algebraic expression, we have;
Tripling the number, we have:
[tex]3x[/tex] ....equation 1
Adding 32 to the number, we have:
[tex]32 + x[/tex] ....equation 2
Equating the two equations, we have:
[tex]3x = 32 + x\\\\3x - x = 32\\\\2x = 32\\\\x = \frac{32}{2}[/tex]
x = 16
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There are three people in lee’s family. The range if their shoe sizes are 3. Two people in her family wear size 6. Lee’s size is not 6 or 3. What is Lee’s shoe size?
Answer:
I would say 9
Step-by-step explanation:
range is the difference between the largest and the smallest values in a data set. the range in this case is 3. so, we have to either add to 6 or subtract from 6.
but we've been told that Lee's shoe size is not three so it 6 + 3 = 9.
hope this helps
What time is it if half of what has already passed remains until the end of today?
Answer:
4 p.m.Step-by-step explanation:
We know that a day contains 24 hours in total.
The time already passed will be represented by [tex]x[/tex].
The remaining time would be [tex]\frac{x}{2}[/tex], becasye half of what has already passed remains until the end of the day.
Basically, the sum of these two expression gives 24 hours in total.
[tex]x + \frac{x}{2} =24\\\frac{3x}{2}=24\\ x=16[/tex]
Therefore, the actual time is 4 p.m.
To test the effectiveness of a diet cat food, scientists divided a group of overweight cats into a control and treatment group. The cats in the control group ate their regular food. The cats in the treatment group received a measured portion of diet cat food twice a day. After two months, the cats in the treatment group had lost an average of 1.2 lb, and the cats in the control group had gained an average of 0.1 lb. State the Subjects:
Answer:
Step-by-step explanation:
The subject in a statistical research work usually refer to the participants involved in the experiment which is usually a quantitative research.
The subjects in this study are all the overweight cats including those in the control and treatment groups.
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:
Which equation represents the line that passes through (-8.11) and
(4,7/2)?
Answer:
[tex]y=-5/8x+6[/tex]
Step-by-step explanation:
[tex]m=\frac{7/2 - 11}{4--8}[/tex]
[tex]m=\frac{-15/2}{12}[/tex]
[tex]m=-5/8[/tex]
[tex]y=-5/8x+b[/tex]
[tex](-8,11)[/tex]
[tex]11=-5/8 \times -8+b[/tex]
[tex]b=11-(-5/8)(-8)[/tex]
[tex]b=6[/tex]
Sue invests £9000 in an account for one year.
At the end of the year, interest is added to her account.
Sue pays tax on this interest at a rate of 20%
She pays £30.24 tax.
Work out the percentage interest rate for the account.
Answer:
£151.20
Step-by-step explanation:
20%= 100%divided by 5
To find 100% from 20% you x by 5
so you times 30.24 by 5
30.24x 5 = 151.2
So the answer is £151.20
interest percentage rate would be 1.6754%
The interest rate for the account is 1.68%
What is interest rate?The interest rate is the amount a lender charges a borrower and is a percentage of the principal the amount loaned.
Given that,
Sue invests £9000 in an account for one year.
She pays £30.24 at a rate of 20%
So, 20% of the interest = £30.24
Let the interest be x,
X0.2 = 30.24
X = £151.2
The total interest was = £ 151.2
The rate R at which generated this interest =
R = (100 × 151.2)/(1 × 9000)
R = 15120/9000
R = 1.68%
Hence, the interest rate = 1.68%
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I really need help with this question
Step-by-step explanation:
∠1 = ∠4 = 57° (vertical angles)
∠6 = 123° (same side interior angles are supplementary)
Answer:
The answer is 123
Step-by-step explanation:
Angle 5 is the same measure as angle one, and a straight line measures 180 degrees. Subtract 57 from 180, and you get the remaining angle. 123 degrees.
What is 2 with an exponent of -2 equal to?
Answer:
[tex] \boxed{\frac{1}{4} } [/tex]
Step-by-step explanation:
[tex]{2}^{ - 2} = \frac{1}{ {2}^{2} } \\ \\ \: \: \: \: \: \: \: \: \: = \frac{1}{4} [/tex]
[tex] Negative \: exponent \\ \\ = > {a}^{-x} = \frac{1}{{a}^{x}} [/tex]
Answer:
[tex]=\frac{1}{4}[/tex]
Step-by-step explanation:
[tex]2^{-2}\\\mathrm{Apply\:exponent\:rule}:\quad \:a^{-b}=\frac{1}{a^b}\\2^{-2}=\frac{1}{2^2}\\=\frac{1}{2^2}\\2^2=4\\=\frac{1}{4}[/tex]
What is the equation of a line, in general form, that passes through point (1, -2) and has a slope of 1/3. 1.x - 3 y - 7 = 2.x - 3 y + 7 = 0 3. 3 x - y - 7 = 0
Answer:
x- 3y - 7=0
Step-by-step explanation:
the line in the slope-intercept form:
y= mx+bm= 1/3 and point given (1, -2) by using which we find y-intercept:
b= y-1/3xb= -2- 1/3*1= - 7/3y= 1/3x- 7/3General form of a line is: ax+by+c= 0
converting:
y= 1/3x- 7/3 ⇒ 3y= x- 7 ⇒ x- 3y - 7=0Answer:
x- 3y - 7=0
Step-by-step explanation:
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What is the greatest common factor of the terms in the expression StartFraction 7 over 3 EndFraction a b minus StartFraction 7 over 6 EndFraction b? One-third b One-third a b 7 b 7 a b
Answer:
(C)7b
Step-by-step explanation:
Given the expression:
[tex]\dfrac{7}{3}ab-\dfrac{7}{6}b[/tex]
Let us factor the expression:
[tex]=\dfrac{7b}{3}\left(a-\dfrac{1}{2}\right)[/tex]
Since we need the greatest common factor, we can rewrite the expression as:
[tex]7b\left(\dfrac{1}{3}a-\dfrac{1}{6}\right)[/tex]
Therefore, the greatest common factor is 7b.
The correct option is C.
Answer: C. 7 b
Step-by-step explanation:
Got it right on edge
(PIC INSIDE!!!) What is the equation of the following linear function?
Answer:
y=4x-4
Step-by-step explanation:
Since this line rises 4 units for every 1 it moves to the right, it has a slope of 4/1=4. Also, since it intersects the y axis at the point (0,-4), b=-4.
Therefore, the equation is y=4x-4. Hope this helps!
What is the image of (9,-5) after a dilation with the scale factor of 2.5?
O (23, 12)
O (22.5, -12.5)
O (-22.5, 12.5)
O (18, 12)
Answer:
(B) (22.5, -12.5)
Step-by-step explanation:
When the point [tex](9,-5)[/tex] is dilated by with a scale factor of 2.5
In a dilation, when its scale factor is less than 1, the pre-image will be lesser than the image.
However, when the scale factor is greater than 1, the pre-image will be greater than the image.
The Image of the dilation of [tex](9,-5)[/tex] with a scale factor of 2.5 is therefore:
[tex](9*2.5,-5*2,5)\\=(22.5, -12.5)[/tex]
The correct option is B.
The queen received a diamond brooch for her birthday. The largest gem weighed 5.1 carats. There were three other gems that weighed 0.7 carats, 1.4 carat, and 2.6 carats. What was the total weight of the gems?
Answer:
9.8 carats.
Step-by-step explanation:
5.1 + 0.7 + 1.4 + 2.6
= 9.8
I need help with number 8 please help me
Answer:
Brainliest to me >:DStep-by-step explanation:
(3,2) (4,5)
-4 on the left number (3 and 4)
-3 on the right number (2,5)
creates:
A'(-1,-1) AND B'(0,2)
You are renting some tables for a party and have to choose between two different rental companies. The first charges $15 per table. The second charges $40 plus $11 per table. Based on this information , the second company is cheaper if you rent more than _____ tables.
Answer:
10
Step-by-step explanation:
15x = 40 + 11x
4x = 40
x = 10
10 tables they would cost the same, so more than 10 tables would make the second company cheaper
What is the slope of the line represented by the points in the table? x y –2 –0.35 –1 –0.3 0 –0.25 1 –0.2 2 –0.15 Negative 0.05 Negative .005 0.005 0.05
Answer:
its a
Step-by-step explanation:
the slope goes from point a to , in this case is subtracting -.05
Answer:
its A - 0.05
Step-by-step explanation:
edge 2020!
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Decide whether the equation is a function, not a function, linear but not a function, or a linear function. Choose the best option.
8x-3y=-2
а
b
Function
Not a Function
Linear But Not a Linear Function
Linear Function
С
d
Answer:
Linear Function
Step-by-step explanation:
8x-3y = -2
-3y = 8x-2
3y = -8x+2
y = [tex]\frac{-8x+2}{3}[/tex]
y = [tex]-\frac{8}{3}x+\frac{2}{3}[/tex]
Linear Function
When constructing an equilateral triangle, what step comes after six arcs are created on the circle?
Answer:
Num certo bairro da cidade de Beira após o ciclone Idai, 120 voluntários trabalhavam de
manhã, 130 trabalhavam à tarde, 80 trabalhavam à noite, 60 trabalhavam de manhã e a
tarde, 50 trabalhavam de manhã e a noite, 40 trabalhavam à tarde e a noite e 20
trabalhavam nos três períodos.
(a) Quantos voluntários trabalhavam em 2 períodos?
(b) Quantos voluntários tem o bairro?
(c) Quantos voluntários não trabalhavam á tarde?
(d) Quantos voluntários trabalhavam só de manhã?
Step-by-step explanation:
What is the probability of getting tails 4 times in a row while flipping a coin?
Answer:
[tex]P=0.0625[/tex]
Step-by-step explanation:
The probability of getting one tails is a half.
The probability of getting another tails given you had a tails is:
[tex]\frac{1}{2}*\frac{1}{2}=(\frac{1}{2})^2=\frac{1}{4}[/tex]
The probability of getting n tails in general is given by:
[tex](\frac{1}{2})^n = \frac{1}{2^n}[/tex]
So, when we have four tails - our value for n is four.
[tex](\frac{1}{2})^4=\frac{1}{2^4}=\frac{1}{16}=0.0625[/tex]
find the volume of this prism
Answer:
840cm^2
Step-by-step explanation:
Volume: Area of cross section x length
Area of cross section:(15 x 8 + 4x 5 )
length: 6
So volume:
(15 x 8 + 4x 5 ) x 6 = 120 + 20 X 6 = 140x6 = 840cm^2.
Hope this helps.
Good Luck
The measure of one angle of a triangle is 105°. What do you know about the measures of the other two angles? Check all that apply.
Both angles are acute.
The sum of the measures of the two angles is 75°.
The sum of the measures of the two angles is 155°.
One of the angles is a right angle.
The measure of neither angle is more than 75°.
The measures of the other angles must be 105° too.
The measure of one of the other angles equals 75°.
The measure of one of the other angles must be 45°.
Step-by-step explanation:
The sum of the measures of the two angles is 75° because of the sum of angles in a triangle which means that both angles are acute. This also means that the measure of neither angle is more than 75°.
Answer:
A, B, E
Step-by-step explanation:
both angles are acute
The sum of the measures of the two angles is 75°
The measure of neither angle is more than 75°