A population grows according to an exponential growth model. The initial population is 215 and the population after one year is 278.
Complete the formula where P is the population and n is the number of years.:
Answer:
?????
Step-by-step explanation:
PLEASE HURRY WILL GIVE BRAINLIEST
c=4a+4b solve for b
Answer:
[tex]b = -a +\frac{1}{4}c[/tex]
Step-by-step explanation:
Step 1: Flip the equation.
[tex]4a + 4b = c[/tex]Step 2: Subtract 4a from both sides.
[tex]4a + 4b - 4a = c - 4a[/tex] [tex]4b = c - 4a[/tex] [tex]4b = -4a + c[/tex]Step 3: Divide both sides by 4.
[tex]\frac{4b}{4}=\frac{-4a}{4} + \frac{c}{4}[/tex] [tex]b = -a + \frac{1}{4}c[/tex]Therefore, the answer is [tex]b = -a + \frac{1}{4}c[/tex].
Hope you have a lovely rest of your day/night.
Answer:
b = [tex]\frac{c - 4a}{4}[/tex]
Step-by-step explanation:
c = 4a + 4b
Subtract 4a from both sides:
c - 4a = 4a - 4a + 4b
c - 4a = 4b
Divide both sides by 4 to solve for b:
[tex]\frac{c - 4a}{4} = \frac{4b}{4}[/tex]
b = [tex]\frac{c - 4a}{4}[/tex]
Please mark my answers as the Brainliest if you find my solutio helpful :)
What are rates and
unit rates?
Answer:
Rate is the ratio between two different units of measure.
Unit rate is the ratio of between two different units of measure for a single thing.
help me math homework part 2
HELLP THIS IS EASY 8TH GRADE STUFF BUT
scale the numerator and the denominator down by a factor of 5 (just divide) to write a fraction equivalent to 30/70.
Answer:
6/14
Step-by-step explanation:
you need to just divide the denominator and numerator by 5. 30 / 5 is 6 and 70 / 5 is 14 so your answer is 6 / 14.
1+√x/1-√x + 1-√x/1+√x
Answer:
if x was 3... itd be 2
Step-by-st/ep explanation:
Evaluate for x=3
1+
√3
1
−√3+1−
√3
1
+√3
1+
√3
1
−√3+1−
√3
1
+√3
=2
22. The function C= 75x + 2600 gives the cost, in dollars, for a small company to
manufacture x items. The function R = 225x-X gives the revenue, also in
dollars, for selling x items. How many items should the company produce so
that the cost and revenue are equal?
Given:
[tex]c=75x+2600\\[/tex]; where c is cost in dollars and x is items sold
[tex]r=225x-x^{2}[/tex]; where r is revenue in dollars and x is items sold
Equations:
[tex]x=\frac{-b\±\sqrt{b^2-4ac}}{2a}[/tex]
Answer:
For cost and revenue to be equal, the company should produce and sell 20 or 130 items.
[tex]x=20\\[/tex] or [tex]x=130[/tex]
Step-by-step explanation:
1. Set the equations equal to each other; [tex]75x+2600=225x-x^2[/tex]
2. Subtract [tex]225x-x^2[/tex] from each side; [tex]x^2-150x+2600=0\\[/tex]
3. Determine quadratic formula variables; [tex]a=1; b=-150; c=2600[/tex]
4. Substitute [tex]a[/tex], [tex]b[/tex], and [tex]c[/tex] into quadratic formula; [tex]x=\frac{-(150)\±\sqrt{(-150)^2-4*1*260}}{2*1}[/tex]
5. Solve quadratic formula; [tex]x_{1} = 130[/tex], [tex]x_{2}=20[/tex]
-9(n+6) can someone help me
Answer:
-9n-54
Step-by-step explanation:
100 point if u answer this correctly pls hep me
For this question you will write a two-column proof of the first part of the Overlapping Angle Theorem. Use the proof for the Overlapping Segment Theorem as your model for this proof.
You must use the two-column format for this question. Write the proof in your journal and upload your answer. You will be awarded 5 points for the statements and 5 points for the reasons.
Given: m∠KER = m∠MEN
Prove: m∠1 = m∠3
Step-by-step explanation:
Statement Reason
m∠KER = m∠MEN Given
m∠KER = m∠1 + m∠2 Angle addition
m∠MEN = m∠2 + m∠3 Angle addition
m∠1 + m∠2 = m∠2 + m∠3 Substitution property of equality
m∠1 = m∠3 Subtraction property of equality
proved
Kaitlin earns $8 for each hour she works. She figures out that her expenses for gas and car insurance are
$24 each week. If she wants to earn $120 after her expenses, write and solve an equation to figure out
how many hours she must work each week.
Write the equation of the graph in slope-intercept form (y=mx+b).
Write the equation without spaces:
Answer:
y = mx + b is the slope intercept form of writing the equation of a straight line. In the equation 'y = mx + b', 'b' is the point, where the line intersects the 'y axis' and 'm' denotes the slope of the line. The slope or gradient of a line describes how steep a line is. It can have either a positive or a negative value. When a standard form of a linear equation is of the form Ax + By = C, where 'x' and 'y' and 'C' are variables and 'A', 'B' are constants, the slope-intercept form is the most preferred way of expressing a straight line due to its simplicity, as it is very easy to find the slope and the 'y intercept' from the given equation.
Meaning of y = mx + b
y = mx + b is the slope-intercept form of a staight line. In the equation y = mx + b for a straight line, m is called the slope of the line and b is the y-intercept of a line. y = mx+b, where
y ⇒ how far up or down is the line,
x ⇒ how far along is the line,
b ⇒ the value of y when x = 0 and
m ⇒ how steep the line is.
This is determined by m = (difference in y coordinates)/ (difference in x coordinates). Note that difference in y coordinates is indicated as rise or fall and difference in x coordinates is indicated as run.
Step-by-step explanation:
A number multiplied by itself is 49. What's the number?
Answer: 2401
Step-by-step explanation: Yes
the number multiplied by itself is 7
Smith and his friends are gaming online on a popular website. An hour later, 6 friends go offline. Five of them continue playing. How many of them were gaming online initially?
Write the problem__
People on line originally
Answer:11 people
Step-by-step explanation:
8-7(-6 + 5^2 )4 / 3+2
Answer:
-121 2/3
Step-by-step explanation:
Simplify the expression -15m + 9m
Answer:
-6M
Step-by-step explanation:
djdurjjrfjfrjrjrjrf
Ariana and Sean went out to dinner with their parents. The price paid for their meal was $75.60 before taxes. The sales tax rate is 7.50%. They leave a tip of 20% of the pre-tax total. What was the total amount they paid for dinner?
Answer:
$97.524
Step-by-step explanation:
Write the slope-intercept form of the equation to the line parallel to the graph
of y+6=-4(x-1) that passes through the point (2,4).
Answer:
y = -4x + 12
Step-by-step explanation:
Parallel lines have the same slope. Since the slope of the given equation is -4, then the slope of the other line parallel to it must be the same.
Using the slope, m = -4, and the given point, (2, 4):
Substitute these values into the slope-intercept form:
y = mx + b
4 = -4(2) + b
4 = -8 + b
4 + 8 = -8 + 8 + b
12 = b
Therefore, the equation of the line parallel to y + 6 = -4(x - 1) is:
y = -4x + 12
Answer:
4x-2
Step-by-step explanation:
Slope intercept form is y=mx+b, so get y on one side.
do the multiplication first -4(x-1) is -4x+4
Now move the six to the other side; y=-4x+4-6
Simplify, y=-4x-2
.If the side of an equilateral triangle is 6cm, then the area of triangle is
Answer:
[tex]9\sqrt{3}[/tex] cm^2
Step-by-step explanation:
area of an equilateral triangle = [tex]\frac{s^{2} \sqrt{3} }{4}[/tex] (s = length of the side)
area = [tex]\frac{6^{2}\sqrt{3} }{4}[/tex]
area = [tex]\frac{36\sqrt{3} }{4}[/tex]
area = [tex]9\sqrt{3}[/tex] cm^2
the question is in the above
please write your answer with explaination
thank you so much and have a great day
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we know that volume of a sphere is :
[tex] \boxed{ \boxed{ \frac{4}{3} \pi {r}^{3} }}[/tex]so, let's solve for radius (r) :
[tex] \dfrac{4}{3} \pi {r}^{3} = 288 \pi[/tex][tex]r {}^{3} = 288 \pi \times \dfrac{3}{4 \pi} [/tex][tex]r {}^{3} = 72 \times 3[/tex][tex]r {}^{3} = 216[/tex][tex]r = \sqrt[3]{216} [/tex][tex]r = 6[/tex]value of radius (r) = 6 units
Solve for m GHI if m GHJ = 59° and m JHI = 39º.
Answer:
m GHI = 82°
Step-by-step explanation:
59+39=98
180-98=82 <==== answer
180 is the total amount of degree
5x-2y=11 and 3x+4y=4
Find the value of x and y in equation.
(1)×3 and (2)×5
15x-9y=33-(3)15x+20y=20-(4)Subtract both
[tex]\\ \sf\longmapsto -29y=13[/tex]
[tex]\\ \sf\longmapsto y=\dfrac{-13}{29}[/tex]
Put in eq(1)[tex]\\ \sf\longmapsto 5x+\dfrac{-117}{29}=11[/tex]
[tex]\\ \sf\longmapsto 5x=11+\dfrac{117}{29}=\dfrac{261+117}{29}=\dfrac{278}{29}[/tex]
[tex]\\ \sf\longmapsto x=\dfrac{278}{145}[/tex]
I need help !!!!!! !!!!!!!
q + 67 = q+68
what is q?
Can someone please help me??
Answer:
the missing side of the triangle is 4, solving by the theorem of Pitagoras a^2 + b^2 = c^2
Using Pythagorean theorem
[tex]\\ \sf\longmapsto P^2=H^2-B^2[/tex]
[tex]\\ \sf\longmapsto P^2=8^2-(4√3)^2[/tex]
[tex]\\ \sf\longmapsto P^2=64-48[/tex]
[tex]\\ \sf\longmapsto P^2=16[/tex]
[tex]\\ \sf\longmapsto P=√16[/tex]
[tex]\\ \sf\longmapsto P=4[/tex]
If X1/12 = 491/24 then find the value of X.
Answer:
[tex]X1/12=491/24[/tex]
[tex]By \: cross \: multiplication,[/tex]
[tex]24x=491×12[/tex]
[tex]x=5892/24[/tex]
[tex]x=245.5[/tex]
perpendicular to y = 5/2x - 1 and passes through (-1, -4)
7±9÷3±2×4 what is the answer for this
Answer:
the answer is 18
Step-by-step explanation:
7+9÷3+2x4= 18
help me please asapppppp it should be marked in 6mins hurry up
can someone please do this math problem with process shown
here ...
let us suppose breadth of the room be x.
then, length = 2x
now ,the cost of plastering the floor is RS 1080 at rate of RS 15 per ...
hence
the area of floor{length *breadth} =1080/15
x*2x=72
or,2x^2=72
or,x=√(72/2)
hence, the value of x= 6m
(ie. breadth {x}=6. &. length {2x}=12)
again....
we have ,
volume of the room (length *breadth*height)is 396m^3
12*6*height=396
72*height=396
height=396/72
hence , height=5.5
we know,
the area of 4 walls = 2( length+breadth)*height
=2(12+6)*5.5
=198
hence the cost of plastering 4 walls at the rate of RS 20 per SQ meter = 198*20=RS 3960
What is .73% of 125?
Answer:
The answer to that is 91.25