Answer:
A
Step-by-step explanation:
Given
P(t) = 60 [tex](3)^{\frac{t}{2} }[/tex]
Then
P(1) = 60 × [tex]3^{\frac{1}{2} }[/tex] = 60[tex]\sqrt{3}[/tex]
P(2) = 60 × 3 = 180
P(3) = 60 × [tex]3^{\frac{3}{2} }[/tex] = 60 ×[tex]\sqrt{3^{3} }[/tex] = 60 × 3[tex]\sqrt{3}[/tex] = 180[tex]\sqrt{3}[/tex]
P(4) = 60 × 3² = 60 × 9 = 540
P(5) = 60 × [tex]3^{\frac{5}{2} }[/tex] = 60 × [tex]\sqrt{3^{5} }[/tex] = 60 × 9[tex]\sqrt{3}[/tex] = 540[tex]\sqrt{3}[/tex]
P(6) = 60 × 3³ = 60 × 27 = 1620
From these 6 results we see that
P(3) = 3 × P(1)
P(4) = 3 × P(2)
P(5) = 3 × P(3)
P(6) = 3 × P(4)
The predicted number of organisms triples every 2 days → A
If $42.60 is in the tip jar and you share equally with 2 other people what is my share
Answer:
$14.20
Step-by-step explanation:
$42.60 ÷ 3
$14.20
Please help, brainliest for correct answer
Answer:
11494.04 units
Step-by-step explanation:
V = 4/3 [tex]\pi[/tex] r³ = 4/3 · [tex]\pi[/tex] · 14³ ≈ 11494.04032
1. Kathy is building a bed for her dollhouse. She used her real bed as a guide for how to
create the dollhouse bed. Her bed is 36 inches wide and 60 inches long. If she wants
to scale this down by 1/10, what would be the dimensions of the dollhouse bed?
Explain how you got your answer.
*Use the term SCALE FACTOR in your explanation.
PLS ANSWER QUICKLY !!!
Solve for x.
3x - 4 = 2x - 10
O x = 6
OX= -6
OX= 14
O x=-14
Please help
Will give you brainly
Answer:
x = -6
Step-by-step explanation:
We have the equation 3x - 4 = 2x - 10 and are asked to find "x".
To solve , we need to get "x" alone entirely.
3x - 4 = 2x - 10
Subtract 2x from both sides :
x - 4 = -10
Add 4 to both sides to get our answer :
x = -6
Answer:
the answer is equal to-6
Carl paid $40 for 12.5 gallons of gas.After calculating,he said that the cost per gallon was about 31 cents per gallon.Is there anything wrong with Carl's thinking?.
Answer:
Well yes, because it should have cost $3.2 PER gallon
Step-by-step explanation:
Divide 40 by 12.5 to find out how much of a per gallon costs! Hope it helps.
Drag each tile to the table to multiply
(6x – y)(2x – y + 2).
fill the table
2x -y 2
6x 12^2 -6xy 12x
-y -2xy y^2 -2y
SOMEONE HELP ME PLS ASAP I WILL GIVE BRAINLIEST PROVE ABCD IS A PARALLELOGRAM
Answer:
It's a parallelogram because it has two parallel side (a,d)+(b,c) or (a,b)+(d,c). The shape is connected by the line "a,d"
Step-by-step explanation:
The ___ is the ratio of a length of the new figure to the corresponding length on the original figure
Express f(x) in the form f(x) = (x - k)q(x) +r for the given value of k.
f(x) = 4x^3+ x² + x-8, k= -1
Answer:
f(x) = (x + 1)*(4*x² - 3*x + 4) - 12
Step-by-step explanation:
We have:
f(x) = 4*x³ + x² + x - 8
We want to write this in:
f(x) = (x - k)*q(x) + r.
with k = -1
Then we want to write:
4*x³ + x² + x - 8 = (x - (-1))*q(x) + r
4*x³ + x² + x - 8 = (x + 1)*q(x) + r
Because f(x) is polynomial of degree 3, we know that q(x) must be a polynomial of degree 2.
then:
q(x) = a*x² + b*x + c
Then:
4*x³ + x² + x - 8 = (x + 1)*(a*x² + b*x + c) + r
4*x³ + x² + x - 8 = a*x³ + b*x² + c*x + a*x² + b*x + c + r
if we take common factors in the right side we get:
4*x³ + x² + x - 8 = a*x³ + (b + a)*x² + (c + b)*x + (c + r)
Now, we must have:
4*x³ = a*x³
then:
4 = a
We also must have:
x² = (b + a)*x²
1 = (b + 4)
1 - 4 = b
-3 = b
We also must have:
x = (c + b)*x
1 = (c + (-3))
1 + 3 = c
4 = c
And finally:
- 8 = (c + r)
-8 = 4 + r
-8 - 4 = r
-12 = r
Then:
f(x) = (x + 1)*(4*x² - 3*x + 4) - 12
Two people share proceeds of a business venture in the ratio 2:3 If the proceeds came to GHS 2,350,000 how much does each get?
Answer:
GHS 940,000 and GHS 1,410,000
Step-by-step explanation:
Total Ratio, thus 2+3 = 5 = 2,350,000
2/5 × 2,350,000 = 940,000
3/5 × 2,350,000 = 1,410,000
In conclusion, the money was shared at GHS 940,000 and GHS 1,410,000 among the two.
125 a la octava potencia?
please lo necesito
Please help asap!!!!
Answer:
[tex] m\widehat {MP} =46\degree [/tex]
Step-by-step explanation:
By inscribed angle theorem:
[tex] m\angle MQP=\frac{1}{2} \times \widehat {MP} [/tex]
[tex] 23\degree =\frac{1}{2} \times m\widehat {MP} [/tex]
[tex] 23\degree \times 2= m\widehat {MP} [/tex]
[tex] m\widehat {MP} =46\degree [/tex]
ayme built a box in the shape of a rectangular prism with the dimensions shown. What is the volume of the box, in cubic inches? A rectangular prism has a length of 8 inches, a width of 2 inches, and a height of 4 inches. Use the formula V = l w h, where V represents the volume, l represents the length, w represents the width, and h represents the height. Inches cubed
Answer:
[tex]64(in)^{3} [/tex]
Step-by-step explanation:
The volume of a box is equal to the length l times the width w times the height h.
[tex](lenght) \times (width) \times (height)[/tex]
Substitute the values of the length l=8, the width w=2, and the height h=4 into the formula.
[tex]8 \times 2 \times 4[/tex]
Multiply 8 by 2.
[tex]16 \times 4[/tex]
Multiply 16 by 4.
[tex]64 {in}^{3} [/tex]
Hence, the volume of the rectangle prism is 64(in)³.
Answer:
64 in³Step-by-step explanation:
Given dimensions:
l = 8 inw = 2 inh = 4 inVolume of the prism is:
V = lwhV = 8*2*4 = 64 in³17% adults favor the use of unmanned drones by police agencies. Twelve U.S. adults are randomly selected. Find the probability that the number of U.S. adults who
favor the use of unmanned drones by police agencies is (a) exactly three, (b) at least four, (c) less than eight
(a) P(3)=(Round to three decimal places as needed)
(b) P(x24) =(Round to three decimal places as needed.)
(c) P(x<8)=(Round to three decimal places as needed.)
Answer:
Following are the solution to these question:
Step-by-step explanation:
Following are the binomial distribution with parameters:
[tex]n = 12\\\\p = 0.24[/tex]
For point a:
[tex]\to P(X = 3) = binom.dist(3, 12, 0.24, False) = 0.2573[/tex]
For point b:
[tex]\to P(X > 4) = 1 - P(X < 3) = 1 - binom.dist(3, 12, 0.24, True) = 0.3205[/tex]
For point c:
[tex]\to P(<8) = binom.dist(7, 12, 0.24, True) = 0.9979[/tex]
Find the limit when X approaches zero
2xsinx/1-cosx
Answer:
4
Step-by-step explanation:
[tex] Lim_{x \to 0}\frac{2 x\sin x}{1-\cos x} [/tex]
[tex] =Lim_{x \to 0}\frac{2 x\sin x}{1-\cos x}\times \frac{1+\cos x}{1+\cos x} [/tex]
[tex] =Lim_{x \to 0}\frac{2 x\sin x(1+\cos x) }{1^2 -\cos^2 x} [/tex]
[tex] =Lim_{x \to 0}\frac{2 x\sin x(1+\cos x) }{1 -\cos^2 x} [/tex]
[tex] =Lim_{x \to 0}\frac{2 x\sin x(1+\cos x) }{sin^2 x} [/tex]
[tex] =Lim_{x \to 0}\frac{2x(1+\cos x) }{sin x} [/tex]
[tex] =Lim_{x \to 0} 2(1+\cos x) \times \frac{1}{Lim_{x \to 0}\frac{sin x}{x}} [/tex]
[tex] =2(1+\cos 0) \times 1 [/tex]
[tex] = 2(1+1) [/tex]
[tex] = 2(2) [/tex]
[tex] \therefore Lim_{x \to 0}\frac{2 x\sin x}{1-\cos x}= 4 [/tex]
David invests $7000 in two different accounts. The first account paid 2 %, the second account paid 5
% in interest. At the end of the first year he had earned $182 in interest. How much was in each
account?
Answer:
3,990
Step-by-step explanation:
help screenshot below
The double box plot shows the cost of the top-selling lunch menu items at two local restaurants. Determine which inference is true about the two populations.
Answer:
The spread of the data for The Red Brick Grill is greater than that for Sophie's Cafe.
Step-by-step explanation:
In the picture
a publisher for a promising new novel figures fixed costs overhead, advances, promotion, copy editing, type setting and so on at $57,000 and variable costs printing, paper, binding, shipping at $2.90 for each book produced. If the book is sold to distributors for $10 each, how many must be sold to break even?
Answer:
$2.90 for each book produced. If the book is sold to distributors for $10 each, how many must be sold to break even?
Step-by-step explanation:
. citizen of the represented state
Jan’s family has 3/4 of a cake left. How many members of her family can get 1/4 of what is left?
Answer:
3
Step-by-step explanation:
3/4 divided by 1/4 equals 3
Answer:
3
Step-by-step explanation:
3/4 is currently left
Subtract 1/4 by 3/4 until nothing is left
The number you get is 3 therefore the answer is 3
y=((3x+1)³)-², find dy/dx
A pair of shoes that normally sells for $85.00 goes on sale for 35% off. Season thinks that the sale price should be $50.00 but Melanie disagrees and says the price should be $55.25. Aiyanna says they are both wrong and decides the price should be $29.75. Who is correct and why?
Answer:
Melanie is correct
Step-by-step explanation:
35% of 85 is 29.75 so take that away from the original price and you get 55.25
This means the price will be 55.25$
Answer:
Melanie is correct since 65% of $85.00 is $55.25.
Step-by-step explanation:
The original price of the shoes is $85.00. That is 100% of the price of the shoes since 100% is a whole amount.
The discount on the shoes is 35%.
100% - 35% = 65%
That means the sale price is 65% of the original price. Now we calculate 65% of $85.00.
65% of $85.00 =
= 0.65 * $85.00
= $55.25
Answer: Melanie is correct since 65% of $85.00 is 55.25.
Which temperature is warmer: -3 or -4 degrees Celsius?
Answer:
-3
Step-by-step explanation:
Solve for
3+4 |x/2 + 3| = -11
9514 1404 393
Answer:
no solution
Step-by-step explanation:
The absolute value cannot be negative. Here, the absolute value expression must be -3.5 in order to satisfy the equation. It cannot have that value.
there is no solution
let us have -2 and 1 what will be the answer ??
Answer:
[tex] - 2 + 1 \\ = - 1[/tex]
Assuming this is what you asked since your question is not clear.
It is not clear what operation should be performed on -2 and 1. Please provide more information or context so that a specific answer can be provided.
It is unclear what operation you want to perform with -2 and 1. Please specify the operation (addition, subtraction, multiplication, or division) so I can provide the correct answer.
Learn more about addition, subtraction, multiplication, or division here;
https://brainly.com/question/11609653
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Alexandra invested $610 in an account paying an interest rate of 7 3/8% compounded
daily. Madeline invested $610 in an account paying an interest rate of 7 7/8%
compounded continuously. After 16 years, how much more money would Madeline
have in her account than Alexandra, to the nearest dollar?
Exact answer: 165.5754
Rounded to the nearest dollar: 166
PLEASE HURRY! FIRST PERSON GETS BRAINLIST!!!!!!
Hank is throwing a surprise party. The party costs $20 per person. Create an equation and graph to represent the relationship between the cost of the party and the number of friends attending.
The independent variable is ____.
A. Number of friends (f)
B. Cost of party (c)
Answer:
B
Step-by-step explanation:
A box of cherries weighs 2 1/4 pounds.
If you bought 5 boxes, what is the total
weight of the purchased cherries?
Answer:
The total weight of the purchased cherries is [tex]11\frac{1}{4}[/tex] pounds.
Step-by-step explanation:
Multiply [tex]2\frac{1}{4}[/tex] by 5.
[tex]2\frac{1}{4} * 5 = 11 \frac{1}{4}[/tex]
Answer:
11.25 or 45/4
Step-by-step explanation:
2 1/4 times 5
A triangle has side lengths of 12 centimeters, 12 centimeters, and 18 centimeters. What kind of triangle is it?
Answer:
isosceles triangle
Step-by-step explanation:
2 sides the same
Determine the equation of a circle with center at (8, 10) and radius is 6