Answer:
The equation of the circle is [tex]x^2 + y^2 = \frac{1}{4}[/tex]
Step-by-step explanation:
Equation of a circle:
The equation of a circle with center [tex](x_0,y_0)[/tex] and radius r is given by:
[tex](x - x_0)^2 + (y - y_0)^2 = r^2[/tex]
Centered at the the origin
Center (0,0), which means that [tex]x_0 = 0, y_0 = 0[/tex]
radius of 1/2
This means that [tex]r = \frac{1}{2}[/tex]
Equation:
[tex](x - x_0)^2 + (y - y_0)^2 = r^2[/tex]
[tex](x - 0)^2 + (y - 0)^2 = (\frac{1}{2})^2[/tex]
[tex]x^2 + y^2 = \frac{1}{4}[/tex]
The equation of the circle is [tex]x^2 + y^2 = \frac{1}{4}[/tex]
Complete the statements to find the limit. lim x→3 x2 + 2x − 3 x2 + 4x − 5 = The numerator can be factored as . The denominator can be factored as . The common factor of can be divided out of the numerator and denominator. The limit is .
ANSWERS:
1. C
2. D
3. B
4. A
Your choices are all correct.
Numerator: x ² + 2x - 3 = (x + 3) (x - 1)
Denominator: x ² + 4x - 5 = (x + 5) (x - 1)
Common factor: x - 1
Then
lim [x → 3] (x ² + 2x - 3) / (x ² + 4x - 5)
= lim [x → 3] (x + 3) / (x + 5)
= (3 + 3) / (3 + 5)
= 6/8 = 3/4
Answer:
ANSWERS:
1. C
2. D
3. B
4. A
Step-by-step explanation:
You invest $1000 in an accound that pays 7.9% interest, compounded monthly. How much money is in the account at the end of three years?
Answer:I hope the following example will help you
Step-by-step explanation:
Ex1: If $1000 is invested now with simple interest of 8% per year. Find the new amount after two years.
P = $1000, t = 2 years, r = 0.08.
A = 1000(1+0.08(2)) = 1000(1.16) = 1160
please help me out, god bless you. dont answer with a link or just steal points plz, I really need help
Answer:
x = 12 radical 2 ithink these is ansewer
If the sum of six consecutive odd integers is 252, what is the smallest of the six integers?
Answer:
37 smallest number
Step-by-step explanation:
If your integer is x
The next 5 odd integers are:
x+2
x+4
x+6
x+8
x+10
x+x+2+x+4+x+6+x+8+x+10=252
6x+30=252
6x=252-30
6x=222
x=222/6
x=37
The second angle of a triangle is twice as large as the first. The measure of
the third angle is 20 degrees greater than the first. How large are the angles?
Jason can buy a bag of dog food for $25 at two different stores. One store offers 6% cash back on the purchase plus $5 off his next purchase. The other store offers 20% cash back.
(a)
Calculate the total savings from the first store, including the savings on the next purchase.
$
(b)
Calculate the total savings from the second store
Answer:
Total saving from First Store = $ 1.5 + $ 5 = $ 6.5
Total saving from Second Store = $ 5
Step-by-step explanation:
Given - Jason can buy a bag of dog food for $25 at two different stores. One store offers 6% cash back on the purchase plus $5 off his next purchase. The other store offers 20% cash back.
To find - (a) Calculate the total savings from the first store, including the savings on the next purchase.
(b) Calculate the total savings from the second store.
Proof -
Given that,
Total cashback Jason get from First Store = 25×6% = 25×0.06 = $ 1.5
So,
Total saving from First Store = $ 1.5 + $ 5 = $ 6.5
Now,
Total cashback Jason get from Second Store = 25×20% = 25×0.20 = $ 5
So,
Total saving from Second Store = $ 5
How many solutions will the equation have?
| x – 2| = 6
Answer:
2
Step-by-step explanation:
Answer:
2 solutions I believe. 2 different x values.
Help plzz will mark brainleast
Answer:
rectangular prism
Step-by-step explanation:
maybeeee
sorry if it wrong :l
Ahmad took out a loan for 146 days and was charged simple interest at an annual rate of 12.5%.
The total interest he paid on the loan was $245.
How much money did Ahmad borrow?
Answer:
$488778
Step-by-step explanation:
For a for interest is;
i = PRT/100
Where;
R is rate
P is Principal
T is time
i is interest
We are given;
R = 12.5% = 0.125.
T = 146 days = (146/364) = 0.4011
i = $245
Thus;
245 = (P × 0.125 × 0.4011)/100
Thus;
P = (245 × 100)/(O.125 × 0.401)
P = $488778
The soccer team played a total of twenty-four games and won four more games than they lost. What was the team's win-loss record for the season ? wins _____. Losses _____.
Answer:
Wins _16____. Losses _12____.
Step-by-step explanation:
Since they played 24 games, the wins and losses must add to 24.
Wins losses
24 0
23 1
22 2
21 3
20 4
19 5
18 6
17 7
16 8
15 9
14 10
13 11
12 12
11 13
10 14
9 15
They won 4 more than they lost is 16 W and 12 L.
in 1980, wind turbines in Europe generated about 5 gigawatt-hours of energy. Over the next 15 years, the amount of energy increase by about 59% per year.
NOT A MULTIPLE CHOICE
1a. Write a model giving the amount E of energy t years after 1980.
1b. Use your model determine how much wind energy was generated in 1984.
1c. Determine the year when 80 gigawatt-hours of energy were generated.
9514 1404 393
Answer:
1a. E = 5×1.59^t
1b. 32 GWh
1c. 1986
Step-by-step explanation:
1a. An exponential model looks like
f(t) = a·b^t
where 'a' is the value when t=0, and 'b' is the growth factor in the time period associated with t.
Here, 'a' is 5 (GWh), and 'b' is 1+59% = 1.59. Then the desired model is ...
E = 5·1.59^t . . . . . where t is years after 1980, and E is in GWh.
__
1b. For t=4, we have ...
E = 5·1.59^4 ≈ 31.96 ≈ 32
About 32 GWh was generated in 1984.
__
1c. The value of t for a given value of E is ...
E/5 = 1.59^t . . . . divide by 5
log(E/5) = t·log(1.59) . . . . take logarithms
t = log(E/5)/log(1.59) . . . . divide by the coefficient of t
For E = 80, the years after 1980 are ...
t = log(80/5)/log(1.59) ≈ 5.98
About 80 GWh were generated in 1986.
Please I need the answer ASAP
Answer:
8
Step-by-step explanation:
base×height÷2=area
2×8÷2=8
Megan's text messaging plan costs $5 for the first 700 messages and 30¢ for each additional text message. If she owes $63.20 for text messaging in the month of January, how many text messages did she send that month?
Answer:
Fixed cost $14 -350 messages
variable $ 0.25 each message i think
Step-by-step explanation:
What is the measure of
162
A. 324°
B. 162°
O C. 81°
D. 72°
Answer:
81
Step-by-step explanation:
trust me its correct
Answer:
C. 81
Step-by-step explanation:
Just took the test the person is correct
HELP NOW QUICKKK PLZZZZ ITS TIMED WILL GIVE BRAINLYIST
Answer:
480. Since each one is 120 and there are 4 of them then its 120*4
Step-by-step explanation:
PLZ HELP 20 POINTS AND CHOOSING BRAINLIEST
...........................
Answer:
.. .. .. .. .. .... . ..
Step-by-step explanation:
... .... .. .. ..
What is the distance between the points (-4 , -12) and (-4 , 20) in the coordinate plane?
Answer:
26 units i think
Step-by-step explanation:
Answer:
32 units
Step-by-step explanation:
from -12 to 0 it is 12 units, and from 0 to 20 it is 20 units.
12 + 20 = 32 units
Steve opens a jewelry shop and makes $16.00 profit for each piece of jewelry sold.The amount Steve makes is given f(x)=16x,where x is the number of pieces of jewelry sold.
Answer:
16pieces
Step-by-step explanation:
We can find the number of pieces is the amount steve make is $256
If steve makes $256, then f(x) = 256
Substitute into the formula and find x
256 = 16x
Swap
16x = 256
Divide both sides by 16
16x/16 = 256/16
x = 16
Hence the number of jewelry sold is 16pieces
What is the slope of the line that passes through the points (-2,-3), and (5, 4)?
a. 3
b. -1
c. 1
d. -3
Answer:
I believe its A
Step-by-step explanation:
A. 3
Hope this helps
“Snoqualmie” is a name shared by a waterfall and a tribe of Native Americans. In a study of the cultural importance of the waterfall, two groups of the Snoqualmie tribe were randomly surveyed. One group consisted of Snoqualmie members living less than 25 miles from the waterfall. Another group consisted of Snoqualmie members living more than 25 miles from the waterfall. The researchers asked each member to rate the cultural importance of the waterfall as low, medium, or high. Data from the study are presented in the following table.
Answer: E ( (17)(50)/88 )
Step-by-step explanation:
(Row total * column total) / table total
Please help meeeeeeeeeeeeeeeee
Answer:
1436.8 in³
Step-by-step explanation:
Volume of sphere = (4/3)πr³
r = 7
---> (4/3)π(7)³ = 1436.8 in³
Have a great day :)
Answer:
The volume of the sphere is A.
Write in slope form : -5x+15y=-30
Answer:
hope this helps
Step-by-step explanation:
y=1/3x-2 is the slope form of -5x+15y=-30.
What is straight line?a line is an infinitely long object with no width, depth, or curvature.
The given equation is -5x+15y=-30
minus five x plus fifteen y equal to minus thirty.
The standard form or slope form of a line is
y=mx+c
Where m is the slope and c is y intercept.
We need to convert -5x+15y=-30 to standard form or slope intercept form of a line.
-5x+15y=-30
15y=-30+5x
15y=5x-30
Divide both sides by 15
y=5/15 x-30/15
y=1/3x-2
Hence y=1/3x-2 is the slope form of -5x+15y=-30.
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which one?
9kv
1/2(k+9)(v)
v(k) + 1/2v (9)
v+k+9+9+k
Answer:
the third one
Step-by-step explanation:
v×k + 1/2v×9
Is the sequence arithmetic? If so, identify the common difference.
13, 20, 27. 34, ...
Answer:
the common difference is = 7
Step-by-step explanation:
1st term is 13
2nd term is 20
d = 2nd -1st
d= 20-13
d= 7
Answer:
Yes . It is arithmetic & the common difference of them is 7 .
Step-by-step explanation:
Hope this helps ;)
The number 36 is 12% of:
Answer:
36 is 12% of 300.
Step-by-step explanation:
Hopw this helped. Have an Amazing Day, Evening, or Night! : )
A culture of bacteria has an initial population of 54000 bacteria and doubles every 7 hours. Using the formula P_t = P_0\cdot 2^{\frac{t}{d}}P t =P 0 ⋅2 d t , where P_tP t is the population after t hours, P_0P 0 is the initial population, t is the time in hours and d is the doubling time, what is the population of bacteria in the culture after 8 hours, to the nearest whole number?
Answer:
P
t
=119241.6675≈119242
Step-by-step explanation:
Constance has an apple that weighs 85,000 milligrams and a peach that weighs 0.15 kilograms. Which fruit has the greater mass? Choose the words and numbers to complete the statements. Convert the masses of both fruits to the same unit.
Answer:
The peach will way more then the apple
Hope this helps you ☜(ﾟヮﾟ☜)
The weight of the peach is greater than the weight of apple
What is unit conversion?In order to translate measurements of a particular amount between different units, a mathematical conversion factor is usually used. This modifies the measurement of the quantity without altering its effects.
The particular circumstances or the intended result control the conversion process. This may be governed by law, a contract, a list of technical specifications, or other publicly available standards.
A precise conversion from one system to another is necessary for some measures in order to maintain the precision of both the original measurement and the conversion.
Based on the connection between a particular pair of original units and a particular pair of target units, each conversion factor is chosen.
Given data ,
Let the weight of apple be = 85,000 milligrams
And , let the weight of the peach be = 0.15 grams
Now , from the unit conversion
1 gram = 1000 milligrams
And , 1 kilogram = 1000 grams
So , the weight of apple A = 85 grams
And , the weight of the peach P = 150 grams
Therefore , P > A
Hence , weight of peach is larger
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I need to increase the numbers of customers I talk to daily by 20% how many customers do I need to talk to if I talk to a average of 8 customers per hour during an 8 hour shift
Answer:
77 approx
Step-by-step explanation:
Given data
Number of customers talked to per hour= 8
Hence for 8 hours(a day) the number of customers talked to = 8*8= 64
We want to first find 20% of 64
=20/100*64
=0.2*64
=12.8
Hence the number of customers will be
=12.8+64
=76.8
=77 approx
someone please answer this correctly!!!
Answer:
25 and 36
Step-by-step explanation:
5×5 < 35 < 6×6
25 < 35 < 36
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