Answer:
11,180
Step-by-step explanation:
The usual assumption for organic growth is that it is exponential. Here, the number increased by a factor of 1000/200 = 5 in 8 hours. For t in hours, a model for population might be ...
b = (initial value)·(growth factor)^(t/(period of growth))
b = 200(5^(t/8))
Using t = 20, the predicted population is ...
b = 200(5^(20/8)) = 200·5^2.5 ≈ 11,180
There might be about 11,180 bacteria in 20 hours.
Answer:
11,180
Step-by-step explanation:
A shopkeeper gained Rs 8 by selling a pen by allowing 10% discount. Hw would have gained Rs 20, if he had not allowed discount. What was the cost price of the pen?
Answer:
Cost of the pen = Rs.100
Step-by-step explanation:
Let the marked price = x
When the shopkeeper is selling for x, his gain = Rs. 20
Cost price = Marked price - Gain = x - 20 --------(I)
After discount:
Discount = 10%
Marked price after discount = (100 - 10)% of x = 90% of x
= 0.9 * x = 0.9x
When the shopkeeper is selling for 0.9x, his gain = Rs.8
Cost price = Marked price - gain = 0.9x - 8 -------(II)
From (I) and (II)
x - 20 = 0.9x - 8
x = 0.9x - 8 + 20
x = 0.9x + 12
x - 0.9x = 12
0.1x = 12
x = 12/0.1
x = 120
Marked price of pen = Rs.120
Cost price = 120 - 20
Cost price = Rs. 100
Mattie bought a piece of rope that was 10.8 yards long. She needs to cut 8 equal pieces. How long will each pie be?
Answer:
Your answer will be 1.35
Name an angle that is a corresponding angle to
Answer:
The corresponding angle of <POQ is<QTS.The corresponding angle of <OQR is <QTV.The corresponding angle of <PQT is <STV.The corresponding angle of <RQT is <UTV.A bank is offering 5.5% simple interest on a savings account. If you deposit $15000, how much interest will you earn in six year? What is this question asking for? What Kinda Interest
Answer:
You will earn $4,950.
Step-by-step explanation:
To find the Simple Interest:
S.I = P × R × T/100
S.I = P × R × T/100S.I = 15,000 × 5.5 × 6/100
S.I = P × R × T/100S.I = 15,000 × 5.5 × 6/100S.I = 150 × 5.5 × 6
S.I = P × R × T/100S.I = 15,000 × 5.5 × 6/100S.I = 150 × 5.5 × 6S.I = $4,950
Find the sum of the first five terms using the geometric series formula for the sequence left curly bracket 1 half comma space minus 1 comma 2 comma negative 4 comma... right curly bracket
Answer:
[tex]\bold{\dfrac{11}{2 }}[/tex]
Step-by-step explanation:
Given the geometric series:
[tex]\{\dfrac{1}2, -1, 2, -4, ..... \}[/tex]
To find:
Sum of series upto 5 terms using the geometric series formula = ?
Solution:
Formula for sum of a n terms of a geometric series is given as:
[tex]S_n=\dfrac{a(1-r^n)}{1-r} \ \{r<1 \}[/tex]
[tex]a[/tex] is the first term of the geometric series
[tex]r[/tex] is the common ratio between each term (2nd term divided by 1st term or 3rd term divided by 2nd term ..... ).
Here:
[tex]a = \dfrac{1}{2}[/tex]
[tex]r = \dfrac{-1}{\dfrac{1}{2}} = -2[/tex]
[tex]n=5[/tex]
So, applying the formula for given values:
[tex]S_5=\dfrac{\dfrac{1}2(1-(-2)^5)}{1-(-2)} \\\Rightarrow S_5=\dfrac{1-(-32)}{2 \times 3} \\\Rightarrow S_5=\dfrac{1+32}{6} \\\Rightarrow S_5=\dfrac{33}{6} \\\Rightarrow \bold{S_5=\dfrac{11}{2}}[/tex]
So, the answer is
[tex]\bold{\dfrac{11}{2 }}[/tex]
A rectangular prism is 12 cm long, 6 cm wide, and 5 cm high.
What is the volume of the rectangular prism?
O A. 23 cubic cm
B. 72 cubic cm
C. 162 cubic cm
D. 360 cubic cm
Answer:
D. 360 cubic cm.
Step-by-step explanation:
The volume = l * w * h
= 12 * 6 * 5
360 cu cm.
The volume of the rectangular prism is 360 cubic cm
A rectangular prism is a three-dimensional shape. It also known as a cuboid.
Characteristics of a rectangular prism
It has six faces. Opposite sides are identical It has 12 sides It has 6 verticesVolume = length x width x height
12 x 6 x 5 = 360 cubic cm
A similar question was solved here: https://brainly.com/question/12449923?referrer=searchResults
PLEASE HELP ME I NEED IT NOW PLEASE
Answer:(6,-7)
Step-by-step explanation:
you just flip in over the x axis so the only thing changing is y lol
Simplify the expression.
-50 + 3r + 50 - 3r
Answer:
0
Step-by-step explanation:
Group like terms= 3r-3r-50+50
Add similar elements= -50+50
Answer=0
I hope this helps!
if two straight lines intersect each other in such a way that one of the angles formed measures 90 degree show that each of the remaining angles measures 90 degree. Pls tell i need answer till 11 am today
Answer:
[tex]\large \boxed{\mathrm{view \ explanation}}[/tex]
Step-by-step explanation:
∠BED is measuring 90 degrees (right angle).
The opposite angle of angle ∠BED will also be 90 degrees because of vertical angles.
∠AEC is measuring 90 degrees (right angle).
The angles on a line add up to 180 degrees.
∠AEC and ∠AEB add up to 180 degrees.
90 + ∠AEB = 180
∠AEB = 90
∠AEB is measuring 90 degrees (right angle).
Angles in a circle around the center add up to 360 degrees.
∠BED + ∠AEC + ∠AEB + ∠CED = 360
90 + 90 + 90 + ∠CED = 360
∠CED = 90
∠CED is measuring 90 degrees (right angle).
Please help what is domain of f?
Answer:
In domain: -2.
Not in domain: 2, 4.
Step-by-step explanation:
The domain of a square root function is all real numbers such that the expression under the square root is greater than or equal to 0.
So, set the expression under the square root greater than or equal to 0 and solve for x:
[tex]-2x\geq 0\\[/tex]
Divide both sides by -2. When dividing by a negative, we flip the sign:
[tex]x\leq 0[/tex]
So, the domain of the function is all real numbers such that x is greater than of less than 0.
-2 is less than 0. So, it is in the domain.
2 is not less than 0. So, it is not in the domain.
4 is not less than 0. So, it is also not in the domain.
Help!! I don’t know
Answer:
63 = x
Step-by-step explanation:
We know that a triangle's angles always add up to 180º. Since Line DC is a 180º line, we can subtract 128 from 180.
180 - 128 = 52º
The angle next to A is 52º.
Then, we add 52 and 65 to get the sum of the two angles.
52 + 65 = 117
Finally, subtract 117 from 180 to get our x.
180 - 117 = 63
x = 63
To check, add all the angle values together and if they equal to 180, your answer is correct.
63 + 52 + 65 = 180. Correct!
=======================================
Explanation:
Through the remote interior angle theorem, adding the remote interior angles x and 65 results in the exterior angle 128. Note how the exterior angle is not adjacent to any of the interior angles (which is where the "remote" portion comes from).
x+65 = 128
x+65-65 = 128-65
x = 63
------------------
A longer method involves finding interior angle BAC using the given exterior angle
angle BAC = 180-(exterior angle DAB)
angle BAC = 180-128
angle BAC = 52
So far, the triangle BAC has two known interior angles 65 and 52. The missing angle x adds onto the previous two getting us 180
x+65+52 = 180
x+117 = 180
x = 180-117
x = 63
We get to the same x value.
Solve for b
4b+8=3b
B=?
Answer:
[tex]\huge\boxed{b=-8}[/tex]
Step-by-step explanation:
[tex]4b+8=3b\\\\4b+8-8=3b-8\\\\4b=3b-8\\\\4b-3b=3b-3b-8\\\\\boxed{b=-8}[/tex]
Answer:
b = -8
Step-by-step explanation:
4b+8=3b
Subtract 4b from each side
4b-4b+8=3b-4b
8 = -b
Multiply each side by -1
-8 = b
Find the derivative of f(x) = 7 divided by x at x = 1
If you know the rules for differentiation, then
[tex]f(x)=\dfrac7x\implies f'(x)=-\dfrac7{x^2}\implies f'(1)=-7[/tex]
If you don't, you can use the definition of the derivative to first find [tex]f'(x)[/tex]:
[tex]f'(x)=\displaystyle\lim_{h\to0}\frac{\frac7{x+h}-\frac7x}h=\lim_{h\to0}\frac{7x-7(x+h)}{hx(x+h)}=-\lim_{h\to0}\frac7{x(x+h)}=-\dfrac7{x^2}[/tex]
Plug in [tex]x=1[/tex] to get the same result.
Or, you can directly compute the value of the derivative using the limit definition:
[tex]f'(1)=\displaystyle\lim_{x\to1}\frac{\frac7x-7}{x-1}=\lim_{x\to1}\frac{7(1-x)}{x(x-1)}=-\lim_{x\to1}\frac7x=-7[/tex]
1. Five times a whole number x is subtracted from 62 The result is less than 40
Find the three lowest values
2. if 7.3 is subtracted from Y the results is less than 3,4 find the range of value of Y
3. solve the following equation
a.4b= 3 (3b+15)
b. 5( a+2)=4(a - 1)
Answer:
Step-by-step explanation:
1. Symbolically, we get: 62 - 5x < 40
2. y - 7.3 < 3.4. Solve for y by adding 7.3 to both sides, obtaining:
y < 10.7 This is both the 'range' and the 'solution'
3a) 4b = 9b + 45, or -5b = 45, or b = -9
3b) 5a + 10 = 4a - 4
Combining like terms results in a = -14
R={(-3, -2), (-3, 0), (-1, 2), (1, 2)} Select all numbers that are in the domain
Answer: D: x = {-3, -1, 1}
Step-by-step explanation:
Domain refers to the x-values of the coordinates.
Coordinates are in the form (x, y) so we are looking for the values on the left side of the parenthesis.
(-3, -2) --> x = -3
(-3, 0) --> x = -3 already listed above so no need to list it again
(-1, 2) --> x = -1
(1, 2) --> x = 1
the x-values are: -3, -1, & 1
so the domain is: x = {-3, -1, 1}
Answer:
Domain = -3, -1, 1.
Step-by-step explanation:
Let's find Domains of x-coordinates of the following.
1) (-3, -2) => (x = -3)
2) (-3, 0) => (x = -3)
3) (-1, 2) => (x = -1)
4) (1, 2) => (x = 1)
Hence, value of x = domain .
These x values lie on the x-coordinates .
Picture attached-please help
How many lines of symmetry does the shape have?
0
1
2
4
Answer:
Step-by-step explanation:
Answer:
2 -
Step-by-step explanation:
if u flip the shape to make a diamond
HELP ASAP PLEASE!!!!!!!!!!!
Answer:
A. 1.6 m/s²
Step-by-step explanation:
Use the formula given and solve for g. Use the length for L and the time for T.
T = 2π√(L/g)
T/2π = L/g
(T/2π)² = L/g
g = L/((T/2π)²)
g = 1/((4.9/2π)²)
g = 1/(0.7799)²
g = 1/0.6082
g = 1.64
the sum of three consecutive integers is 330 what is the smallest of these integers?? will give brainliest
Answer:
109
Step-by-step explanation:
Three consecutive integers:
x, x+1, x+2Sum of them:
x+(x+1)+(x+2) = 3303x + 3 = 3303x= 327x= 327/3x= 109The smallest integer out of three is 109
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3 consecutive integers = x+(x+1)+(x+2) or 3x+3 (x is the smallest number)
(Consecutive means one after another)
So 3x+3 = 330.
Now subtract 3 from both sides.
(3x-3)=3x
(330-3)=327
The left side is 3x and the right side is 327.
The equation now is 3x=327.
Now divide each side by 3 (so x is isolated)
3x÷3=x
327÷3=109
The left side is x and the right side is 109.
The final equation is x=109.
Since x is the smallest of these integers we don't have to do anything else.
Okay, so let's check the answer now. 109+110+111=330.
So the smallest of the 3 consecutive numbers is 109.
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-16+5n=-7(-6+8n)+3 um help please
Answer:
34n=42?
Step-by-step explanation
-16+5n=-7(-6+8n)+3
1.) multiply
-16+5n=42+-56n+3
2.) add like terms
-16+5n=-45+-56n
3.) find lower number, and add the opposite
29n+5n=42
4.) add n's
34n=42 ?
Answer:
n = 1Step-by-step explanation:
-16 + 5n = -7(-6 + 8n) + 3
Expand the terms in the bracket
That's
- 16 + 5n = 42 - 56n + 3
Group like terms
That's
Send the constants to the right side of the equation and those with variables to the left side
We have
5n + 56n = 16 + 42 + 3
Simplify
61n = 61
Divide both sides by 61
We have the final answer as
n = 1Hope this helps you
please answer will mark brainliest need to find the slope!
Answer:
0.3
Step-by-step explanation:
Find the limit of the function by using direct substitution. Limit as x approaches zero of quantity x squared plus ten. Answer Choices: A) -10 B) Does not exist C) 0 D) 10
Answer:
D
Step-by-step explanation:
So we are given the limit:
[tex]\lim_{x \to 0} (x^2+10)[/tex]
To figure out this limit, we can use direct substitution. Simply substitute 0 for x and then simplify. Therefore:
[tex]\lim_{x \to 0} (x^2+10)\\=(0)^2+10\\=0+10\\=10[/tex]
Therefore, the limit equals 10.
The inverse of f(x) is a function A.true B.false
Answer:
True
Step-by-step explanation:
Answer:
A. True
Step-by-step explanation:
The graph passes the horizontal line test, so the inverse relation is a function.
__
The horizontal line test requires any horizontal line intersect the graph in at most one place.
Simplify the following expression. (3m/4-2)+8
A. 8m/4
B. 9m/4
C. 3m+24/4
D. 3m+28/4
Answer:
C. 3m+24/4
Step-by-step explanation:
Given that (3m/4 - 2) + 8
Then we solve
= (3m/4 - 8/4) + 8
= (3m - 8)/4 + 32/4
= (3m - 8 + 32)/4
= 3m + 24 /4
Therefore the answer is C
Alternatively, we can simplify the equation by
Given that, the equation is ( 3m/4 - 2 ) + 8
We then remove parenthesis
= 3m/4 - 2 + 8
= 3m/4 + 6
= 3m/4 + 24/4
Then add the numerators and leave the denominator
= 3m + 24 /4
This also equals option C.
Hence, it can be concluded that, the correct answer is Option C: (3m + 24)/4
Please answer this question I will mark you the brainlest
please ............☺️☺️
Answer:
Hope it helps u .
mark as brainlist
Write 1000 in words. TQVM pls help
Thousand
Please Mark As Brainliest
Answer:
One thousand
Step-by-step explanation:
find the equation of the line perpendicular to the line x=9 that passes through the point (9,-1)
Answer:
y = -1
Step-by-step explanation:
Notice that the line x = 9 is a vertical line, therefore a line perpendicular to it will be a horizontal line of the form y = constant number.
Since we want it to go through the point (9, -1), then we know that that y value needs to be "-1", and the equation of the line will be given by the expression:
y = -1
Answer:
y =1
Step-by-step explanation:
[tex](9,-1)=(x ,y)\\\\x =m_1 =9\\m_2 = \frac{-1}{m_1} = \frac{-1}{9} = -\frac{1}{9} \\\\Substitute \:the \:values\:into ;\\y =mx+b\\\\-1 =-\frac{1}{9} (9) +b\\-1 = -1+b\\-1+1 = b\\0 =b\\m= 1 \\Substitute\:the\:new\:values\:into ;\\y = mx+b\\y = 1 x +0\\ y= 1[/tex]
Find the sum of 1st 50 odd natural numbers
[tex] \Large{ \boxed{ \mathbb{ \pink{SOLUTION:}}}}[/tex]
The AP would be like:
1, 3, 5, 7........[50 terms]Now,
➝ First term = 1
➝ Common difference = 2
➝ No. of terms = 50
By using formula,
[tex] \large{ \boxed{ \rm{S_n = \frac{n}{2} \bigg(2a + (n - 1)d \bigg)}}} [/tex]
Here,
a = First termn = number of termsd = common difference Sn = sum of n termsProceeding further,
➝ S50 = 50/2{ 2 × 1 + (50 - 1)2 }
➝ S50 = 25{ 2 + 49 × 2 }
➝ S50 = 25{ 100 }
➝ S50 = 2500
⛈️ Sum of 50 terms of AP = 2500
Shortcut trick:- n^2
Then, Sum of 50(n) terms = 50^2 = 2500
☘️ Hence, solved !!
━━━━━━━━━━━━━━━━━━━━
Answer:
2500
Step-by-step explanation:
The Sum of First 50 Odd Natural Numbers:
1+3+5+7+9+11+13+15+17+19+21+23+25+27+29+31+33+35+37+39+41+43+45+47+49+51+53+55+57+59+61+63+65+67+69+71+73+75+77+79+81+83+85+87+89+91+93+95+97+99
= 2500
Find the distance between the points (0, 2) and (-9, -10).
Answer:
15
Step-by-step explanation:
OPTION 1:
We can use the distance formula to find the distance between these two points.
[tex]\sqrt{(x_2-x_1)^2 + (y_2-y_1)^2}[/tex]
X2 is -9, X1 is 0, Y2 is -10, and Y1 is 2, so we can substitute inside the equation.
[tex]\sqrt{(-9-0)^2 + (-10-2)^2}\\\\\sqrt{9^2 + -12^2}\\\\\sqrt{81 + 144}\\\\\sqrt{225}\\\\15[/tex]
OPTION 2:
We can look at the change in x and the change in y and use the Pythagorean Theorem to find the missing length of the hypotenuse.
The x changes by 9, and the Y changes by 12.
[tex]a^2+b^2=c^2[/tex] is the Pythagorean Theorem. We know a and b, so we can substitute inside the equation.
[tex]9^2 + 12^2 = c^2\\\\81+144=c^2\\\\225=c^2\\\\c=15[/tex]
Hope this helped!
Answer: The distance is 15 units.
Step-by-step explanation:
Find the difference in the x and y coordinates and square them and add them together.
(0,2) and (-9,-10) The x coordinates are 0 and -9 and the y coordinates are 2 and -10.
0-(-9) = 9
2-(-10) = 12
9^2 + 12^2 = d^2
81 + 144 = d^2
225 = d^2
d = [tex]\sqrt{225}[/tex]
d= 15
not so good with mathematics
Answer:
2n-7
Step-by-step explanation:
the product of 2 and a number is 2 times a number, so number is n. (this is multiplicaiton) it then becomes 2n. 7 less than that is 2n-7. (If it's less than, it goes after the variables 2n)
Explanation:
7 less --> -7
product of 2 and a number --> 2x
Answer:
2x-7
I hope this Helps!!
The perimeter of a rectangle can be found using the equation P=2L + 2W , where P is the perimeter, L is the length, and W is the width of the rectangle. Can the perimeter of the rectangle be 60 units when its 11 units and its length is 24 units?
Step-by-step explanation:
From the question
Perimeter = 2L + 2W
L = 24 units
W = 11 units
Substitute the values into the above formula
That's
P = 2(24) + 2(11)
P = 48 + 22
P = 70 units
Therefore the perimeter of the rectangle cannot be 60 units since the values when substituted into the above formula will give us 70 units
Hope this helps you