Answer:
Half of 24 is 12, and if all 12 have been red, then the other 12 are all black.
In a lab experiment, 5300 bacteria are placed in a petri dish. The conditions are such
that the number of bacteria is able to double every 23 hours. How long would it be, to
the nearest tenth of an hour, until there are 10500 bacteria present?
Answer: x = 22.7
Step-by-step explanation:Based on the given conditions, formulate: 5300x2(x divided by 23) = 10500
Divide both sides of the equation by the coefficient of variable: 2 x/23 = 10500/5300
Reduce the fraction:2 x/23 = 105/53
Convert exponential to logarithm form: x/23 = long^2 105/53
Divide both sides of the equation by the coefficient of variable:x = log^2 105/53 x 23
Rewrite the expression: x = 23 long^2 105/53
Round the number: x = 22.7
Answer: x = 22.7
Will someone give me explanation of this question below??
[tex]show \: that \: function \: y = ax+ {2a}^{2} \: is \: a \: solution \: of [/tex]
[tex]the \: differential \: equation[/tex]
[tex] 2( \frac{dy}{dx})^{2} + x ( \frac{dy}{dx} ) - y = 0 \\ [/tex]
Note: Don't spam and don't copy
Need answer with explanation
Don't answer if you don't know
Thank You!
If y = ax + 2a², then its derivative is dy/dx = a. Substitute y and dy/dx into the given equation and check if it results in an identity:
2 (dy/dx)² + x dy/dx - y = 0
2a² + ax - (ax + 2a²) = 0
0 = 0
This is of course true, so y = ax + 2a² is indeed a solution to the given equation.
WILL GIVE BRAINLIEST
Answer:
A) 1: linear; 2: exponential (see equations in part B)
B) the value of 2 will be almost 15% greater
Step-by-step explanation:
Part A:As is often the case with multi-part questions, later parts of the question answer earlier parts. The equations shown in Part B are linear for Option 1 and exponential for Option 2.
The table values for Option 1 have a common difference of (1200 -1100) = 100.
The table values for Option 2 have a common ratio of (1210/1100) = 1.10.
Linear functions produce sequential values with a common difference (the slope of the function). Option 1 is linear.
Exponential functions produce sequential values with a common ratio (the growth factor). Option 2 is exponential.
__
Part B:The investment values after 7 years will be ...
Option 1: f(7) = 100(7) +1000 = 1700
Option 2: g(7) = 1000(1.1^7) ≈ 1948.72
The value of Option 2 will be about $248.72 higher, or 14.6% higher than the value of Option 1. Whether that is significant or not is in the eye of the beholder. Many people might consider that to be significantly better performance. (It would take another 2 1/2 years for Option 1 to have that value.)
A scale drawing of a rectangular park had a scale of 1 cm = 100 m. What is the actual perimeter of the park in meters?
10.1 and 8.8
Answer:
3780 m
Step-by-step explanation:
First, we find the perimeter of the scale drawing.
perimeter = 2(L + W)
perimeter = 2(10.1 cm + 8.8 cm)
perimeter = 2(18.9 cm)
perimeter = 37.8 cm
Now that we have the perimeter of the drawing, we use the scale to find the real perimeter.
1 cm (drawing) = 100 m (real)
37.8 cm × 100 m/cm = 3780 m
Answer: 3780 m
A skyscraper is 396 meters tall. At a certain time of day, it casts a shadow that is 332 meters long. At what angle is the sun above the horizon at that time?
Step-by-step explanation:
there is a right-angled triangle.
its legs (enclosing the 90° angle) are the height of the skyscraper (396 m) and the shadow (332 m).
so, we know the third side (the Hypotenuse, which is the line of sight between the end of the shadow and the top of the skyscraper) too by using Pythagoras :
c² = a² + b²
line² = 396² + 332² = 156816 + 110224 = 267040
line = sqrt(267040) = 516.7591315... m
and we know 1 angle : the 90° angle between the legs.
the other angles we can now get by using the law of the sines :
a/sin(A) = b/sin(B) = c/sin(C)
where the angles are opposite of the lines.
the line of sight is opposite of the 90° angle.
and the height of the skyscraper is opposite of the angle between the line of sight and the shadow. this angle is also the angle of the sun above the horizon, as the extended line of sight would lead directly to the sun.
so, we have
516.7591315.../sin(90) = 396/sin(angle)
as sin(90) = 1
516.7591315... = 396/sin(angle)
sin(angle) = 396 / 516.7591315... = 0.76631447...
angle = 50.02407526...°
Can someone please help me!!?
Answer:
Step-by-step explanation:
Domain is all the x's on the graph. The graph does go from -3 to 4 (not including the -3 but including the 4). Pay attention to the use of () as well as [] on the answers. Those answers are not weird coordinates, they are intervals where the first number is the starting place and the second number is the end. Also on the graph one end point is an open circle which means it's not included on the graph and the other endpoint is a darkened circle which means it is included. The range is all the y's. It does go from -3 to 3. Increasing means the graph is going up from left to right and decreasing means the graph is going down left to right. The graph is positive when it is above the x-axis and negative when its below the x-axis. It seems like ALL of the statements about the graph are true.
Solve: 3x²+9x+6 = 0
Thank you.
Given quadrant equation:
3x² + 9x + 6 = 0
Here we see that,
→ Product of coefficient of x² and constant term = 3 × 6 = 18
→ Sum of coefficient of x² ans constant term = 3 + 6 = 9
So the given equation can be written as,
⇛3x² + 6x + 3x + 6 = 0
On taking the common terms, we get
⇛3x(x + 2) + 3(x + 2) = 0
On grouping the common terms, we get
⇛(3x + 3)(x + 2) = 0
Here either (3x + 3) = 0 or (x + 2) = 0. So,
⇛3x + 3 = 0 or x + 2 = 0
⇛3x = -3 or x = -2
⇛x = -3/3 or x = -2
⇛x = -1 or x = -2
also read similar questions:- These are the two roots of the equation.
Julian used these steps to solve the equation 9x=?6+3(3x+2) 9 x = - 6 + 3 ( 3 x + 2 ) . Which choice describes the meaning of his result, 0=0 ?
https://brainly.com/question/11808722?referrer
If the circumference of a circle is 13 pi, what is the diameter of the circle.
Answer: 13 units
Explanation:
Use the formula [tex]C = \pi d[/tex] where C is the circumference and d is the diameter.
The quadratic function g(x)=ax^2+bx+c has the complex roots (-5+9i) and (-5-9i).
What is the value of a?
What is the value of b?
What is the value of c?
Answer:
I don't know sorry
❤❤❤❤❤❤❤❤❤❤❤❤❤❤❤❤❤❤❤❤❤❤❤❤❤❤❤❤❤❤❤❤❤❤❤❤❤❤❤❤❤❤❤❤❤❤❤❤
Answer:
❤❤❤❤❤❤❤❤❤❤❤❤❤❤❤❤❤❤❤❤❤❤❤❤❤❤❤❤❤❤❤❤❤❤❤❤❤❤❤❤❤❤❤❤❤❤❤❤
Step-by-step explanation:
Answer:
ok
Step-by-step explanation:
identify the median of 15-18
28. Which category is zero NOT a part of?
NY
A. Whole
B. Integers
C. Rational
D. Natural
Answer:
Zero is not a natural number
Step-by-step explanation:
Hope this helps!
State the slope and y-intercept for the graph of
- 8x + y = -12.
Answer:
y must have a numerical coefficient of 1. This equation does. If it does not, then you must divide through by whatever is in front of the y.
To read the slope, you must have x and its coefficient on opposite sides of the equal sign.
So you get
y = 8x – 12 when you add 8x to both sides
Next, the y intercept is found when x = 0
y = 8x – 12
y = 8(0) – 12
y = – 12
The y intercept is -12 or in point form (0, – 12)
Answer
slope = 8
y intercept = – 12
Step-by-step explanation:
A student earned 80% on a math test if she got 20 questions correct how many problems were on the test
Answer:
16
Step-by-step explanation:
80% of 20 is 16
Answer:
25
Step-by-step explanation: (My way) If 20 questions equal 80%, then do 20/2 which equals 10. 10 is 40% because 20 was 80%, which was split in half. Now you do 10/2 which is 5. 10 was 40% so 40% got split into 20%. So then you have 5=20%, 10=40%. Now we multiply 10x2 which equals 20. 20=80% so now add 20+5 which is 25. 25 is 100%.
1/2x divided by 3=6 what is x
Answer:
x = 36Step-by-step explanation:
1/2x ÷ 3 = 6=> 1/2x × 1/3 = 6=> 6 x 1/6x = 6 x 6=> x = 36Conclusion:
Therefore, the answer is 'x = 36'.
Hoped this helped.
[tex]BrainiacUser1357[/tex]
19=5+7x i need explanation it’s two step equation btw
Answer:
x = 2
Step-by-step explanation:
subtract both sides by 5. left with 14=7x. divide both sides by 7. x=2
Answer:
[tex]\boxed{\sf x=2}[/tex]Step-by-step explanation:
[tex]\sf 19 =5+7x[/tex]
First, let's swap sides so that all variable terms are on the left hand side.
[tex]\sf 5+7x=19[/tex]
Subtract 5 from both sides:
[tex]\sf 7x=19-5[/tex]
Subtract 5 from 19:
[tex]\sf 7x=14[/tex]
Divide both sides by 7:
[tex]\sf \cfrac{7x}{7} =\cfrac{14}{7}[/tex]
[tex]\sf x=2[/tex]
_____________________________________
Mrs. Jerry wants her twenty-five students to each have forty-eight buttons to make a craft project. Mrs. Jerry finds buttons in bags at a store. There are fifteen buttons in each bag. How many bags of buttons does Mrs. Jerry need to buy so she has exactly enough buttons for her twenty-five students? Show all your mathematical thinking.
Answer:
25X48=1200 buttons in all
1200 divided by 15 = 80
She needs to buy 80 bags which totals 1200 buttons
Step-by-step explanation:
answer in standard form PLEASE.
HELP HURRY PLS
Graph y= 1/2x-3
Answer:
This is what it would look like. Hope this helps!
(Help me please!!)
Write the equation of each linear relationship in slope-intercept form. (Convert the slope to decimal form.)
X: 25, 35, 45, 55
Y: 94. 88, 82, 76
Answer:
y = -0.6x +109
Step-by-step explanation:
The slope is given by the formula ...
m = (y2 -y1)/(x2 -x1)
m = (88 -94)/(35 -25) = -6/10 = -0.6
The y-intercept is ...
b = y -mx = 94 -(-0.6)(25) = 109
The equation of the line is ...
y = mx +b
y = -0.6x +109
Please help me with my math problem!! NO LINKS PLEASE!! IT IS DUE TONIGHT AT 11:59PM!! WILL GIVE BRAINLIEST!! :)
Step-by-step explanation:
Hi, i think this is how to do it. I'm sorry if I do it wrong!
ab? that goes through points (0,2)
Write an exponential function in the form y
and (4, 1250).
Answer:
y = 2·5^x
Step-by-step explanation:
Using the given points, we can solve for 'a' and 'b'.
y = ab^x
2 = ab^0 = a . . . . . substitute (0, 2) for (x, y)
__
1250 = 2·b^4 . . . . substitute for 'a' and (4, 1250) for (x, y)
625 = b^4 . . . . divide by 2
5 = b . . . . . . . take the 4th root
The function is ...
y = 2·5^x
____
Additional comment
There are two real and two imaginary 4th roots of 625. Only the positive real root is useful as the base in an exponential function like this.
Carmen can make 9 bracelets each day. She needs to make at
least 120 bracelets to sell at a craft fair. She estimates she will need more
than 13 days to make enough bracelets. Is she correct? Explain.
Step-by-step explanation:
yes because If you divide 120 by 9 you get 13.333 so technically speaking she is correct
which expression simplies to 40x10?
Answer:
i think its 4*1
Step-by-step explanation:
hope this helps
have a great day
~Zero~
Answers
Explainations
Which equation shows a proportional relationship between x and y?
A. y = 3x + 1
B.y= 4x
C.y = -3x - 2
D.y=9
Answer:
A
Step-by-step explanation:
What is the solution to the system of equations shown below?
y = -x-2
4y + 8 = x
A. No solution
B. (2,0)
C. (0,2)
D. Infinitely many solutions
Answer:
The answer is c when u solve for x it gives 0 and for y gives 2
1 point
A jacket is on sale for $48 in a Texas store. The sales tax in Texas is 6,25%.
How much does the jacket cost with sales tax included? *
Answer:
$51
Step-by-step explanation:
First, we can convert the tax to a decimal by dividing by 100.
6.25% = 0.0625
Then, we can calculate the sales tax by multiplying the original amount by the tax.
48 * 0.0625 = 3
Finally, we can add the sales tax to the original amount to get our final amount of
48 + 3 = 51
Can someone explain how to do this:
If you put 10 in to the function f(x) = 2x, what would be the output?
--
Im so lost-
Answer:
It would be 2 (10)
Step-by-step explanation:
If you replace x with 10 then you have a multiplacation problem and the output of the answer is 20
Angelique Calculated the slope of a line that passed through points (-5,4) and (2,-3) her work is shown below. identify her error and correct her mistakes.
Answer:
see explanation
Step-by-step explanation:
Calculate the slope m using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (- 5, 4 ) and (x₂, y₂ ) = (2, - 3 )
m = [tex]\frac{-3-4}{2-(-5)}[/tex]
Her error was subtracting 5 from 2 instead of - 5 from 2
m = [tex]\frac{-7}{2+5}[/tex] = [tex]\frac{-7}{7}[/tex] = - 1 ← corrected solution
Problem 1
Jayden has $11 and begins saving $5 each week
towards buying a new phone. At the same time that
Jayden begins saving, Aditi has $60 and begins
spending $2 per week on supplies for her art class.
Is there a week when they have the same amount of
money?
Yes
No
Answer:
I'm thinking its a no because the money is odd every time Jayden adds $5
Step-by-step explanation:
Jayden has [tex]\$11[/tex] and begins saving [tex]\$5[/tex] per week.
Aditi has [tex]\$60[/tex] and begins spending [tex]\$2[/tex] per week.
Have x denote the number of weeks and y indicate the quantity each person has. Therefore, according to the stated conditions, the maximum amount Jayden will have after x weeks will be,
[tex]\to y = 11+5x[/tex]
Aditi will have [tex]y= 60-2x[/tex] after x weeks. Therefore, the number of weeks in which they will each have the same amount will be calculated as,
[tex]11+5x=60-2x\\\\5x+2x=60-11\\\\7x=49\\\\x=\frac{49}{7}\\\\x=7[/tex]
As a result, after 7 weeks, Lin and Diego will have the same amount, which is [tex]\$46[/tex].
Learn more:
brainly.com/question/11925965