Answer:
Step-by-step explanation:
It’s c
Convert the equation into Standard Form.
x^2 + y^2 + 10x - 12y+45 = 0
Answer:
(x−5)^2+(y+6)^2=9
Step-by-step explanation:
If a1=7and an=-2an1 then find the value of a5
Answer:
wonderful
Step-by-step explanation:
a5= A1=7 an=2an1
an16
Look at the graph shown below the blue line represents an _______ of the graph
Given:
The graph of a function and a blue line.
To find:
The correct name for the blue line.
Solution:
Domain: It is the set of inputs. These are the x-values for which the function is defined.
Range: It is the set of outputs. These are the y-values for the function.
Asymptote: The function approaches to a line as x approaches to -∞ or ∞ but not intersect the line, then the line is known as asymptote.
y-intercept: It is the intersection point of the function and the y-axis.
From the given graph it is clear that the function approaches to the blue line as x approaches to -∞ but not intersect the blue line.
So, the blue line is an asymptote of the function.
Look at the graph shown below the blue line represents an asymptote of the graph.
hi,can someone help me with this
question is above,just tap to the picture
Thanks
Have a nice day
PLZ HELP WILL GIVE BRAINLIST!!!
-1.56, -0.98, -0.13, -0.1, 0.5, 0.93
Answer:
-1.56, -0.98, -0.13, -0.1, 0.5, 0.93
Step-by-step explanation:
The function N(t) = 100e^−0.023t models the number of grams in a sample of cesium-137 that remain after t years. On which interval is the sample's average rate of decay the fastest?
Options:
A. [1,10] B. [10,20] C. [15,25] D. [1,30]
Answer:
A. [1,10]
Step-by-step explanation:
Given
[tex]N(t) = 100e^{-0.023t}[/tex]
Required
Interval with the fastest rate of decay
The rate of change over [a,b] is calculated as:
[tex]Rate = \frac{N(b) - N(a)}{b - a}[/tex]
So, we have:
A. [1,10]
[tex]Rate = \frac{N(10)-N(1)}{10 - 1}[/tex]
[tex]Rate = \frac{N(10)-N(1)}{9}[/tex]
Calculate N(10) and N(1)
[tex]N(10) = 100e^{-0.023*10} = 100e^{-0.23} = 79.45[/tex]
[tex]N(1) = 100e^{-0.023*1} = 100e^{-0.023} = 97.73[/tex]
So:
[tex]Rate = \frac{79.45-97.73}{9} = \frac{-18.28}{9} = -2.03[/tex]
B. [10,20]
[tex]Rate = \frac{N(20)-N(10)}{20 - 10}[/tex]
[tex]Rate = \frac{N(20)-N(10)}{10}[/tex]
Calculate N(20) and N(10)
[tex]N(20) = 100e^{-0.023*20} = 100e^{-0.46} = 63.13[/tex]
[tex]N(10) = 100e^{-0.023*10} = 100e^{-0.23} = 79.45[/tex]
So:
[tex]Rate = \frac{63.13 - 79.45}{10} = \frac{-16.32}{10} = -1.632[/tex]
C. [15,25]
[tex]Rate = \frac{N(25)-N(15)}{25 - 15}[/tex]
[tex]Rate = \frac{N(25)-N(15)}{20}[/tex]
Calculate N(25) and N(15)
[tex]N(25) = 100e^{-0.023*25} = 100e^{-0.575} = 56.27[/tex]
[tex]N(15) = 100e^{-0.023*15} = 100e^{-0.345} = 70.82[/tex]
So:
[tex]Rate = \frac{56.27 - 70.82}{10} = \frac{-14.55}{10} = -1.455[/tex]
D. [1,30]
[tex]Rate = \frac{N(30)-N(1)}{30 - 1}[/tex]
[tex]Rate = \frac{N(30)-N(1)}{29}[/tex]
Calculate N(30) and N(1)
[tex]N(30) = 100e^{-0.023*30} = 100e^{-0.69} = 50.16[/tex]
[tex]N(1) = 100e^{-0.023*1} = 100e^{-0.023} = 97.73[/tex]
So:
[tex]Rate = \frac{50.16 - 97.73}{29} = \frac{-47.57}{29} = -1.64[/tex]
By comparing the values of the calculated rates,
-2.03 is the smallest, in other words; the fastest rate
Hence, the interval [1,10] has the fastest rate of decay
The required average rate of change is the fastest on [tex][1,10][/tex].
The average rate of change :The formula for the average rate of change on the interval [tex][a,b][/tex] is,
[tex]\frac{100e^{-0.023b}-100e^{-0.023b}}{b-a}[/tex]
Now, applying the given function into the above function is,
Now, [tex]a=1,b=10[/tex] then,
[tex]\frac{100e^{-0.023b}-100e^{-0.023b}}{10-1} =-2.03[/tex]
Now, [tex]a=10,b=20[/tex] then,
[tex]\frac{100e^{-0.023b}-100e^{-0.023b}}{20-10} =-1.6325[/tex]
Now, [tex]a=15,b=25[/tex] then,
[tex]\frac{100e^{-0.023b}-100e^{-0.023b}}{25-15} =-1.455[/tex]
Now, [tex]a=1,b=30[/tex] then,
[tex]\frac{100e^{-0.023b}-100e^{-0.023b}}{30-1} =-1.64[/tex]
So the average rate of change is fastest on [tex][1,10][/tex]
Learn more about the topic of the average rate of change:
https://brainly.com/question/20884505
What is the speed of a car that traveled a
total of 300 kilometers north in 2 hours?
Speed = Distance/Time
So, speed
= 300 km/2h
= 150km/h
= (150 × 1000m) / 3600s
= 150000m/3600s
= 41.66m/s [approximately]
5x – 3y = 24
What is the Slope and Y Intercept?
Answer:
y=5/3x-8
Slope = 5/3
Y int = (0,-8) or y=-8
Step-by-step explanation:
Answer: 5/3x - 8
Step-by-step explanation:
-3y=24-5x
/3
5x/3 -8
5/3x - 8
Paisley has $540 to spend at a bicycle store for some new gear and biking outfits.
Assume all prices listed include tax.
She buys a new bicycle for $446.60.
• She buys 3 bicycle reflectors for $4.09 each and a pair of bike gloves for $35.82.
• She plans to spend some or all of the money she has left to buy new biking outfits
for $72.82 each.
Which inequality can be used to determine x, the maximum number of outfits Paisley
can purchase while staying within her budget?
O 540 < 494.69% + 72.82
72.82x + 494.69 > 540
Submit Answer
72.82x + 494.69 < 540
540 > 494.69x + 72.82
The inequality that can be used to determine the maximum budget that can be spent on outfits is 72.82x + 494.69 < 540.
The first step is to determine the total cost of the items bought.
Cost of the bicycle = $446.60.
Cost of the 3 bicycle reflectors = $4.09 x 3 = $12.27
Cost of the bike gloves = $35.82
Total cost = $494.69
The amount left that can be spent on the new biking outfits = $540 - $494.69 = $45.31
The amount of money left is not sufficient to buy the new biking outfits.
To learn more about inequality, please check: https://brainly.com/question/5031619
What is the value of x in this equation?
8x + 40 = 180
Answer:
17.5
Step-by-step explanation:
180 = 40+ 8x
140 = 8x
17.5 = x
Answer:
17.5 is the correct answer to the question
Step-by-step explanation:
8x+40=180
8x=180-40
8x=140
X=140/8
X=17.5
Find the value of x.
9514 1404 393
Answer:
x = 20
Step-by-step explanation:
The external angle at V is half the difference of the subtended arcs:
(65° -25°)/2 = x° = 40°/2
x = 20
The area of a square playground (in square feet) can be represented by x2 - 30x + 225. How many feet is the perimeter of the playground if x = 25?
Answer:
40
Step-by-step explanation:
Substitute 25 for x
[tex] {25}^{2} - 30(25) + 225 = 100[/tex]
100 is the area of the square so that means
10 is the side length of each side of the square.
Multiply 4 by 10 to get the perimeter.
[tex]4 \times 10 = 40[/tex]
Taylor bought 48 of marshmallows to the bonfire. Taylor and 10 of her friends made s’mores with them. At the end of the night, there were 9 bags left. How many bags of marshmallows did Taylor and her friends go through? (Write the operation and the answer)
Answer:
The operation used is the Subtraction operation
39 bags of marshmallows
Step-by-step explanation:
The operation we would be using here is the Subtraction operation.
Total number of bags if Marshmallows bought = 48 bags
Number of people present = Taylor + 10 friends = 11 people
Amount of Marshmallows left = 9 bags
Hence, the number of bags of marshmallows that Taylor and her friends went through is calculated as:
48 bags of marshmallows - 9 bags of marshmallows
= 39 bags of marshmallows
6.) Convert the following linear equation into slope-intercept form.
4x + 3y = 9
Answer:
[tex]y=\frac{-4}{3} +9[/tex]
Step-by-step explanation:
Slope-intercept form is y-mx+b. To find slope-intercept form solve for y.
First, subtract 4x from both sides,
3y=-4x+9
Then, divide both sides by 3,
y=-4/3x+3
What is the measure of each angle if x = 13?
A. 42°, 38°
B. 527, 26°
C 429, 269
D. 527, 38°
The measures of two angles are 4x° and (2x + 12) °
Al resolver la suma de ¾ + 5/4 obtenemos como resultado
Answer:
2
Step-by-step explanation:
3/4+5/4=8/4=2
find x to the nearest 10th help pls
Answer:
5.9
Step-by-step explanation:
mike is training to run a marathon. currently, he can run four miles in 44 minutes. if he maintains this running speed, how long will it take him to run 10 miles?
pls help:)!
Solve ∣3x−2∣+4=0. Write your smaller answer first.
Answer:
wrong
Step-by-step explanation:
What is the cost of 1 pound of grapes?
can someone find the surface area for this?
Answer: the triangles should be 203.391 and the rectangle is 74.4 so in total it would be 481.182
Step-by-step explanation:
Emma bought a sweater at the sale price of $50. The original cost of the sweater was $80. What percent represents the discount that Emma received when buying the sweater?
Answer:
The percentage represented is 37.5%
For cylinders with radius 4 units, the equation V = 50.24 h relates the height h of the cylinder, in units,
and the volume V of the cylinder, in cubic units when 3.14 is used as an approximation for 7. (4 pts)
a. Fill in the table with a minimum of 4 entries and sketch the graph of this equation on the axes.
Height Volume
500
400
Volume of Cylinder
300
200
100
10
Height of Cylinder
Answer:
H V
1 50.24
2 100.48
3 150.72
4 200.96
5 251.2
6 301.44
Plot that on the graph with H on the x axis of it created a straightish line its linear if not it’s non linear
Is this correct???
I’m really worried this is a test worth 100 points?? Pls help if I made a mistake!!???
Answer:
There's supposed to be nothing in the 7 and 8 columns
Step-by-step explanation:
You were good, but there aren't any in the 7 or 8 columns, making 9 an outlier.
hope this helps:)
Please answer correctly! I will mark you as Brainliest!
Answer:
600
Step-by-step explanation:
V = l * w * h
V = 10 * 3 * 20
V = 600
Answer:
V = 600 cm³
Step-by-step explanation:
The volume (V) of a cuboid is calculated as
V = lbh ( l is length, b is breadth, h is height )
Here l = 10, b = 3 , h = 20 , then
V = 10 × 3 × 20 = 600 cm³
The equation of a circle is (x−2)2+(y−12)2=64 . What is the circle's center? Enter your answer by filling in the boxes.
Answer:
The formula for the equation of a circle is (x – h)2+ (y – k)2 = r2, where (h, k) represents the coordinates of the center of the circle, and r represents the radius of the circle.
i also provided with a chart i dont know if it will help
13
Bennie is 7 years older than Ayesha.
Chloe is twice as old as Bennie.
The sum of their three ages is 57.
dersk
Work out the ages of Ayesha, Bennie and Chloe.
Write an equation equivalent to 0.127
Answer:
127x10^-3
Step-by-step explanation:
0.127=
[tex]127 \times {10}^{ - 3} [/tex]
Does the table represent a linear or nonlinear function
Answer:
Non-Linear
Step-by-step explanation:
Answer:linear
Step-by-step explanation:
The length of the hypotenuse of a right triangle is 10m and the length of one of the legs is 8m .
Find the length of the other leg of the triangle