Answer:
The required function that models the number of branches t years since Bela began studying her tree is
number of branches = [tex]60(1.83)^{\frac{t}{2.9} }[/tex]
Step-by-step explanation:
Let t be the time in years
Initially Bela's tree had 60 branches.
therefore the function that can be used to model the number of branches after t years will be given by
number of branches( after t years) [tex]= 60\times(1 + \frac{83}{100})^{\frac{t}{2.9} } = 60(1.83)^{\frac{t}{2.9} }[/tex]
The function model is [tex]B(t) = 60 * (1.83)^{\frac{t}{2.9}}[/tex].
To model the growth of branches on Bela's tree over time, we can use an exponential growth function. Given that the number of branches increases by 83% every 2.9 years, and the initial number of branches is 60, the function can be derived as follows:
The growth factor after each period of 2.9 years can be expressed as 1 + 0.83 = 1.83. If we let t represent the time in years, we need to determine how many 2.9-year periods have passed. This is given by [tex]\frac{t}{2.9}[/tex].
Thus, the function modeling the number of branches, B(t), after t years is:
[tex]B(t) = 60 * (1.83)^{\frac{t}{2.9}}[/tex]
This function accounts for the exponential growth of the number of branches on Bela's tree over time.
Polygon JKLMNO and polygon PQRSTU are similar. The area of polygon
PQRSTU is 75. What is the area of JKLMNO?
Answer:
The area of polygon JKLMNO is 48 square units
Step-by-step explanation:
The picture of the question in the attached figure
step 1
Find the scale factor
we know that
If two figures are similar, the the ratio of its corresponding sides is proportional, and this ratio is called the scale factor
Let
z ----> the scale factor
The scale factor of the dilation of polygon PQRSTU to polygon JKLMNO is
[tex]z=\frac{KJ}{QP}[/tex]
substitute the given values
[tex]z=\frac{4}{5}[/tex]
step 2
Find the area of polygon JKLMNO
we know that
If two figures are similar, the the ratio of its areas is equal to the scale factor squared
Let
z ----> the scale factor
x ----> area of polygon JKLMNO
y ----> area of polygon PQRSTU
[tex]z^{2}=\frac{x}{y}[/tex]
we have
[tex]z=\frac{4}{5}[/tex]
[tex]y=75\ units^2[/tex]
substitute
[tex](\frac{4}{5})^{2}=\frac{x}{75}[/tex]
solve for x
[tex]x=(\frac{16}{25})75=48\ units^2[/tex]
therefore
The area of polygon JKLMNO is 48 square units
Answer:48units
Step-by-step explanation: I know
Find the volume of the pet carrier shown at the right
Answer:
Volume of the pet carrier [tex]=2702.5[/tex] cubic inches
Step-by-step explanation:
The Pet carrier in the image is in the shape of a cuboid
The volume of a cuboid can be found by the formula
volume of cuboid= [tex]Length*Breadth*Height[/tex]
Given:
Length = 20 inches, Breadth=[tex]11\frac{3}{4} =\frac{(11*4)+3}{4}=\frac{47}{4}[/tex] inches,
Height=[tex]11\frac{1}{2}=\frac{23}{2}[/tex] inches
Volume of the pet carrier:
[tex]=20*\frac{47}{4}* \frac{23}{2}\\\\= 5*47*\frac{23}{2} \\\\=5*47*11.5\\[/tex]
[tex]=2702.5[/tex] cubic inches
Volume of the pet carrier [tex]=2702.5[/tex] cubic inches
What type of transformation?
(X,y) (x + 7, -y -6)
Answer:
Translate right 7 units (x+7)
Reflect over x-axis (-y) and translate down 6 units (-y - 6)
v(t)=659,500(0.91)
find the initial value of the house
Answer: 659,500 is the initial value
Step-by-step explanation:
Factor 18p-3618p−3618, p, minus, 36 to identify the equivalent expressions. Choose 2 answers: Choose 2 answers:
Answer:
18(p-2) and 2(9-18)
Step-by-step explanation:
What is the answer for the question
r = 16/2 = 8 cm
C = 2π·r = 2×3.14×8 = 50.24 cm
If f(x) = 2x^2+x find f(x+1)
Answer:
f(x+ 1) = 2x^2 + 5x + 3.
Step-by-step explanation:
We replace the x in the expression for f(x) by x+1:
f(x+1) = 2(x + 1)^2 + x + 1
= 2(x^2 + 2x + 1) + x + 1
= 2x^2 + 4x + 2 + x + 1
= 2x^2 + 5x + 3.
y × 6 for y = 2/3. what is the y? please help.
Answer:
The answer is Y = 4. Hope this helps.
Answer: y is 2/3, or the answer to the equation is 4
Step-by-step explanation:
it tells you what y is with y=2/3, so you need to plug that into the equation nto get 4, or just use 2/3 as your answer
Please help. I’ll mark you as brainliest if correct
Answer:
527, no mistakes this time
Step-by-step explanation:
Please help! I can't figure this out!
Answer:
1 & -1
Step-by-step explanation:
f(x) = g(x)
Find the inputs for which outputs are equal
Both outputs are 1 when x = -1
Both outputs are -7 when x = 1
NEED HELP ON THIS QUESTION ASAP PLEASE
Answer:
the last one
Step-by-step explanation:
Solve S= 2HW + 2HL + 2WL for L.
To solve for L, you need to isolate/get the variable "L" by itself in the equation:
S = 2HW + 2HL + 2WL Subtract 2HW on both sides
S - 2HW = 2HW - 2HW + 2HL + 2WL
S - 2HW = 2HL + 2WL Take out the "L" in 2HL and 2WL
S - 2HW = L(2H + 2W) Now divide (2H + 2W) to get "L" by itself
[tex]\frac{S-2HW}{2H +2W} =\frac{L(2H+2W)}{2H+2W}[/tex]
[tex]\frac{S-2HW}{2H+2W} =L[/tex]
I think you can stop here, but if you need or want to simplify:
[tex]\frac{S}{2H+2W} -\frac{HW}{H+W} =L[/tex] which looks longer so I don't know if you need to do this
To solve for 'L' in the given equation, we subtract 2HW and 2WL from each side, then divide each side by 2H. The solution is L = (S - 2HW - 2WL) / 2H.
Explanation:We are given the equation S= 2HW + 2HL + 2WL and we are asked to solve for L. To do this, we will need to isolate L on one side of the equation. Here are the steps:
Subtract 2HW and 2WL from both sides of the equation. We are left with: S - 2HW - 2WL = 2HL Divide each side of the equation by 2H to solve for L. Our final solution is: L = (S - 2HW - 2WL) / 2H
So the value of L in terms of the other variables in the equation is (S - 2HW - 2WL) / 2H.
Learn more about Solving for Variable here:https://brainly.com/question/32610670
#SPJ2
Can someone answer this question please answer it correctly and show work please
Answer:
40) D
41) -56.33
Step-by-step explanation:
40)
Equation #1) 1 centimeter = 2.5 meters on the drawing
Equation #2) Length of the cafeteria on the drawing = 12.25 cm
Actual length:
Multiply both sides of equation #1 by 12.25 to get the actual length of the cafeteria
1(12.25) = 2.5(12.25)
12.25 cm = 30.625 meters
D
41)
[tex]\frac{0.5\left(8\ +\ 3.2\right)}{-0.1}+\ \frac{3}{\left(-2.7\ -\ 6.3\right)}[/tex]
Start with multiplication inside the parenthesis
[tex]\frac{4\ +\ 1.6}{-0.1}+\ \frac{3}{\left(-2.7\ -\ 6.3\right)}[/tex]
Add/Subtract
[tex]\frac{5.6}{-0.1}+\ \frac{3}{-9}[/tex]
Simplify
[tex]-56+\left(-0.33\right)[/tex]
[tex]-56 - 0.33[/tex]
[tex]-56.33[/tex]Hope this helps ツ
129 original price with a 30% discount
Answer:
i think it is $38.70
Step-by-step explanation:
Mr. Markowski drives to his office one morning. After he leaves his house, he drives
at a constant speed until he reaches his office. After work, he drives home at a
constant speed until he reaches a stop light. He waits at the stop light and then
continues at the same speed as before until he gets home.
Which is the graph of Mr. Markowski's distance from his office?
Distance
from office
An
rawr raw
Step-by-step explanation:
If Jeff washes his car in 6 minutes and bob washes the same car in 8 minutes. How long does it take both of them to wash the same car?
Answer:
3 3/7 or 24/7 mins
Step-by-step explanation:
Let total job = X
Jeff's rate = X/6
Bob's rate = X/8
Combined rate = X/6 + X/8
(4X × 3X)/24 = 7X/24
7X/24 = X/T
T = X ÷ (7X/24)
T = X × (24/7X)
T = 24/7 mins
Shortcut:
T = product of individual times/sum of individual times
T = (6×8)/(6+8)
T = 48/14
T = 24/7
T = 3 3/7 mins
Answer:
3 3/7 minutes or 3.4mins
Step-by-step explanation:
If Jeff washed husband car in 6 minutes and Bob washed the same car in 8 minutes , the time taken by both of them in washing the car ?
If Jeff washed the car in 6 minutes , in one minute, Jeff’s work = 1/6
If bob washed in 8mins, in one minute, bob’s work = 1/8
Add both together
1/6 + 1/8
Lcm of 6 and 8 Is 24
Divide the Lcm by the denominators and multiply the results by the numerator
We have 4+3 /24
7/24
Therefore time taken by both of them in Washing is 24/7
= 3 3/7 minutes 0r 3.4mins
Solve 3^n=5. How to solve n?
Answer:
[tex]\huge\boxed{n=\log_35}[/tex]
Step-by-step explanation:
[tex]3^n=5\Rightarrow\log_33^n=\log_35\qquad\text{use}\ \log_ab^n=n\log_ab\\\\n\log_33=\log_35\qquad\text{use}\ \log_aa=1\\\\\boxed{n=\log_35}[/tex]
Stacey buys 6 pounds of chicken for $39 days how much will she pay for 11 more pounds of chicken?
Answer:
$110,5
Step-by-step explanation:
If 6 pounds costs $39, then 17 pounds (11+6) will cost $110,5
The solution can be found using famous math rule called "Rule of three".
In this case we have an unknown quantity [tex]\left \{ {{6=39}\atop {17=?}} \right.[/tex] where ? can be found multiplying $39 x 17 (new quantity) and dividing by the first quantity, [tex]? = \frac{39x17}{6}[/tex]
Which one of these graphs matches the function below?
Answer:
The lower right graph.
Step-by-step explanation:
Using the formula V=lwh, find w when l=10, h=20 and v=2000
Answer:
w = 10
Step-by-step explanation:
Given
V = lwh ← substitute the given values
2000 = 10 × w × 20, that is
2000 = 200w ( divide both sides by 200 )
10 = w
Angel and Jayden were at track practice. The track is 2/5 kilometers around.
•angel ran 1 lap in 2 minutes
•Jayden ran 3 laps in 5 minutes
How far does angel run in one minute
Answer: 66
Step-by-step explanation:
6 laps
converting to standard form y=3x-8
Standard form for a linear equation is Ax+By=C.
Problem: Write #y=3x-8 in standard form.
Subtract 3x from both sides of the equation.
−3x+y=−8
Multiply both sides by −1.
answer ==> 3x−y=8
There is another option that got cut off, it is
D: -1;the amount of water decreases by 1 gallon per minute
PLEASE ANSWER
Answer:
answer is b
Step-by-step explanation:
look at the picture
If the mean of the following distribution is 91 and sum of frequencies is 150 find x and y
Answer:
Step-by-step explanation:
Mean = ∑x/ N
91 = ∑x / 150
∑x = 150 * 91 = 13650
x= 6825 and y = 6825
Two angles are supplementary.The larger angle is 15 more than 10 times the smaller angle. Find the measure of each angle
Step-by-step explanation:
Let the smaller angle = x and
The larger angle = 10x + 15°
To find, the measure of each angle = ?
We know that,
The sum of two supplementary anges = 180°
∴ x + (10x + 15°) = 180°
⇒ x + 10x + 15° = 180°
⇒ 11x = 180° - 15°
⇒ 11x = 165°
Dividing both sides by 11, we get
[tex]\dfrac{11x}{11} =\dfrac{165}{11}[/tex]
⇒ x = 15°
∴ The smaller angle = 15° and
The larger angle = 10(15° ) + 15° = 165°
A sphere intersects a plane that is 6 units away from its center; the intersection is a circle of radius 8. What is the radius of the sphere?
Answer:
10
Step-by-step explanation:
Consider the triangle consisting of the segment from the center of the sphere to the center of the circle, a radius of the circle, and the radius of the sphere to the other end of the radius of the circle. The given leg dimensions of that right triangle are 6 and 8, so the Pythagorean theorem tells you the hypotenuse (radius of the sphere) is ...
√(6²+8²) = √(36+64) = √100 = 10
The radius of the sphere is 10 units.
_____
You may recognize this as a 3-4-5 right triangle scaled by a factor of 2.
In this case, the radius of the sphere is 10 units.
The distance from the center of the sphere to the plane is given as 6 units.
According to the Pythagorean theorem, we have:
[tex]\[ r^2 = d^2 + r'^2 \][/tex]
[tex]\[ r^2 = 6^2 + 8^2 \][/tex]
[tex]\[ r^2 = 100 \][/tex]
Taking the square root
[tex]\[ r = \sqrt{100} \][/tex]
r = 10
The radius of the sphere is 10 units.
The perimeter of a rhombus is 84 inches. What is the length of each side of the rhombus? Explain
Answer:
Each side of the rhombus is 21 inches
Step-by-step explanation:
A rhombus has 4 equal sides: So all sides are the same
So you take the total perimeter and divide it by 4
84/4=21
Final answer:
The length of each side of a rhombus with a perimeter of 84 inches is 21 inches, calculated by dividing the total perimeter by the number of sides, which is four.
Explanation:
The question asks for the length of each side of a rhombus given its perimeter. The perimeter of a rhombus (or any polygon) is the total distance around the figure, and since all sides of a rhombus are equal in length, we can determine the length of one side by dividing the perimeter by the number of sides. A rhombus has four sides, so if the perimeter is 84 inches, the length of each side is the perimeter divided by four.
Here is the calculation for the length of each side:
Divide the perimeter (84 inches) by the number of sides (4).This gives us 84 inches / 4 = 21 inches.Therefore, the length of each side of the rhombus is 21 inches.
The fact family model represents 3 + 14 = 17.
A triangle. 17 is in the top corner. 3 is in the bottom left corner. 14 is in the bottom right corner.
How does 17 compare to 3?
14 is 17 less than 3.
3 is 14 less than 17.
3 is 17 greater than 14.
3 is 14 greater than 17. ANSWER PLEASE 100 POINS
Answer:
3 is 14 less than 17
Step-by-step explanation:
17-3=14
Answer:
the answer is B 3 is 14 less than 17
hope it helps!
???????????anybody helppp
Answer:
B) 24 p-35
Step-by-step explanation:
Step :1
Apply distributive property a.(b+c) = a.b+a.c
Given data 1+4(6 p-9)
= 1+4.6 p - 4.9
multiply
= 1+ 24 p - 36
subtracting
= 24 p - 35
What is the value of d + e + fwhen d = 20, e = -4 and f = -2?
0-26
O 14
0-22
18
The value of d + e + f is 14
Solution:
Given that,
d = 20
e = -4
f = -2
We have to find the value of d + e + f
Substitute d = 20 and e = -4 and f = -2
Thus we get,
d + e + f = 20 + (-4) + (-2)
Remove the parenthesis
We know that, when we multiply negative sign with positive sign, we get negative sign as result
d + e + f = 20 - 4 - 2
d + e + f = 20 - 6
d + e + f = 14
Thus value of d + e + f is 14