number of bacteria in a certain population Increases according to a continuous exponential growth model with How many hours does it take the size of the sample to double ? growth rato parameter of 48% per hour
Answer:
It takes 1.77 hours for the population to double.
Step-by-step explanation:
Equation for population growth:
The equation for population growth, after t hours, with a growth rate parameter of r, as a decimal, is given by:
[tex]P(t) = P(0)(1+r)^t[/tex]
Growth rato parameter of 48% per hour
This means that [tex]r = 0.48[/tex]. So
[tex]P(t) = P(0)(1+r)^t[/tex]
[tex]P(t) = P(0)(1+0.48)^t[/tex]
[tex]P(t) = P(0)(1.48)^t[/tex]
How many hours does it take the size of the sample to double?
This is t for which P(t) = 2P(0). So
[tex]P(t) = P(0)(1.48)^t[/tex]
[tex]2P(0) = P(0)(1.48)^t[/tex]
[tex](1.48)^t = 2[/tex]
[tex]\log{(1.48)^t} = \log{2}[/tex]
[tex]t\log{1.48} = \log{2}[/tex]
[tex]t = \frac{\log{2}}{\log{1.48}}[/tex]
[tex]t = 1.77[/tex]
It takes 1.77 hours for the population to double.
In this diagram use pythagoras theorem to calculate the length of the marked side
Answer:
[tex] 5\sqrt{7} [/tex]
Step-by-step explanation:
using Pythagoras theorem
[tex]d = \sqrt{ {20}^{2} - {(15)}^{2} } \\ [/tex]
[tex]d = 5 \sqrt{7} [/tex]
Step-by-step explanation:
Hyponues²= Base²+Height ²
20cm²=Base²+15cm²
400cm-225cm=H²
175=H²
5√7 Answer
Find the circumference of the circle and round to the nearest tenth
Answer:
circumference of circle = 2×pi×r
circumference of circle = 2×3.14×12.7
circumference of circle = 79.756 in
C = 172.7 cm
Use the formula, c = ad, and x = 3.14, to find the diameter of this circle whose circumference equals 172.7 cm.
A. 55 cm
B. 27.5 cm
O c. 542.278 cm
D. 5.5 cm
O E. 86.35 cm
Answer:
B
Step-by-step explanation:
three times one number minus a second is 8 and the sum of the number is 12
Answer:
one number is 2
second number if 3 1/3
Step-by-step explanation:
a = one number
b = second number
3a - b = 8
3a + b = 12
add together:
6a = 20
a = 20/6 or 10/3
find 'b':
3(10/3) - b = 8
10 - b = 8
-b = -2
b = 2
Help me pls I don’t get this one
Answer: <BAC is 28.5
Step-by-step explanation:
line AO and Line OB are congruent (both are radius of the circle)
<BAC and <OBA are congruent
<AOB is linear to BOC so 180-57= 123 <AOB is 123
Triangle AOB is Isosceles
2a+123=180
2a=57
a=28.5
Find the area of the figure. Round to the nearest tenth.
6.5
3
O 14.6 units2
O 22.4 units2
15.0 units2
O 18.2 units2
Answer:
Area total = 14.6
Step-by-step explanation:
The composite area from left to right is
a half circle plus a rectangle minus a triangle
Area total = π r²/2 + bh - 1/2(bh)
= π (d/2)²/2 + bh - 1/2(b)(h triangle use Pythagorean theorem
= π (3/2)²/2 + 5(3) - 1/2(3)(√(3² - 1.5²) h triangle = c² - (b/2)²
= π 1.5²/2 + 15 - 1/2(3)(2.598)
Area total = 14.637 units²
Please help, find the value of y
Answer
Step-by-step explanation:
chord makes or arc make 120° at the center.
sum of other two angles of triangle=180-120=60
because they are equal.
so each angle=60/2=30°
tangent line makes angle 90° with radius .
so 30+y=90
y=90-30=60°
A coat cost $37.88 at Walmart. The sales tax is 5.5%. What is the total amount of the coat including the sales tax?
A quadrilateral is inscribed in a circle. Find the measure of each missing angle as labeled below. explain answer please
9514 1404 393
Answer:
C = 95°D = 72°F = 108°Step-by-step explanation:
Opposite angles of an inscribed quadrilateral are supplementary. Inscribed angles are half the measure of the arc they subtend. (The latter statement can be used to prove the former one.)
Using these relations, we have ...
C = 180° -E = 180° -85° = 95°
D = 144°/2 = 72°
F = 180° -D = 180° -72° = 108°
Between which values does 111 lie?
A. 7 and 8
B. 8 and 9
C. 9 and 10
D. 10 and 11
E .11 and 12
Answer: D: 10 and 11
Step-by-step explanation:
The Sq Rt of 111 is 10.5356537529 which falls between 10 and 11
Answer:
D: 10 and 11
Step-by-step explanation:
10.5356537529 10^11
and in standard notation:
105,356,537,529
Find X and Y, THIS IS DUE VERY SOON, PLEASE HELP!
Answer:
X is equal to 8, and Y is equal to 35
Step-by-step explanation:
You'll use the Pytagoras theorem to find the values of X and Y.
Suppose that prices of a certain model of new homes are normally distributed with a mean of $150,000. Use the 68-95-99.7 rule to find the percentage of buyers who paid:
less than $148,400 if the standard deviation is $800.
20POINTS! Determine if two triangles are congruent. If they are, state which theorem you can use to prove congruency. EXPLAIN WHY OR ELSE I WILL REPORT.
Answer:
both each side of each triangle is equal
use alphabets to mark each edge of the triangles and prove congruency
what is meant by the present value of money?
Answer:
Present value (PV) is the current value of a future sum of money or stream of cash flows given a specified rate of return. Future cash flows are discounted at the discount rate, and the higher the discount rate, the lower the present value of the future cash flows.
How to find PV:Calculating present value is called discounting. Discounting cash flows, like our $25,000, simply means that we take inflation and the fact that money can earn interest into account.
...
Calculating Present Value Using the Formula
FV = the future value.
i = interest rate.
t = number of time periods.
Step-by-step explanation:
Answer: Present value, also known as discounted value, is a financial calculation that measures the worth of a future amount of money or stream of payments in today’s dollars adjusted for interest and inflation. In other words, it compares the buying power of one future dollar to purchasing power of one today
Step-by-step explanation:
Does anyone know what the answer please?
Answer:
[tex]\angle 1 \cong \angle 7[/tex]
Step-by-step explanation:
We proceed to present which angles corresponds with [tex]\angle 7[/tex], accompained with reason based on Theorems used in Euclidean Geometry. Two angles are correspondent if and only if are in the same side of the secant line, one of them is internal and the other one is external.
Hence, we conclude that [tex]\angle 1 \cong \angle 7[/tex].
Weisen Sie bei folgenden Rechnungsbeträgen die Mehrwertsteuer aus!
a) 124,30 € b) 69,30 c) 12,50 €
Answer:
hj0
Step-by-step explanation:
Find each measurement indicated. Round your answers to the nearest tenth.
Answer:
52.08°
Step-by-step explanation:
Law of sine: [tex]\frac{93}{25}[/tex]=[tex]\frac{x}{14}[/tex]
93*14=25x
1302=25x
52.08=x
40 pts please help!
Find the circumference and area of a circle with a diameter of 7cm. Round your answers to the hundredth.
a. C = 21.98cm and A = 38.47cm squared
b. C = 21.98cm and A = 153.86cm squared
c. C = 43.96cm and A = 38.47cm squared
d. C = 43.96cm and A = 153.86cm squared
Answer:
a.
Step-by-step explanation:
diameter 7cm
radius 3.5cm
area =πr²
=22/7* 3.5²
=38.47cm²
circumference=πd
=22/7* 7
=22cm
Answer:
a. C = 21.98cm and A = 38.47cm squared
Step-by-step explanation:
Diameter is twice the radius. Therefore radius, r, is 3.5cm.
Circumference = 2πr =2π(3.5)=7π=21.98cm
Area=πr²=π(3.5²)=12.25π=38.47cm²
I need to find the area!
Plz help me find the answer!
PLEASE HELP !! ILL GIVE BRAINLIEST !!
Answer:
Angles and XWY and STR
Step-by-step explanation:
These two angels are alternate exterior angels because:
- They are on different sides of the transversal (the line intersecting the two parallel lines)
- They have the same angle measure
- They are exterior, meaning they are on the outside, not inside (interior)
Hope this helps!!! :)
Find the equation for the
following parabola.
Vertex (0, 0)
Focus (-3, 0)
A. 42 = 12y
B. y2 = -12%
C. -(3/2)/2 = x
D. X2 = 127
Answer:
::::::::::
B. y^2= -12x
5th grade math. correct answer will be marked brainliest
Answer:
7/12 teaspoons
fraction
Step-by-step explanation:
Amount of salt that would be used = 1[tex]\frac{3}{4}[/tex] x [tex]\frac{1}{3}[/tex]
Convert [tex]1\frac{3}{4}[/tex] to an improper fraction
to convert to improper fraction, take the following steps :
1. Multiply the whole number by the denominator
2. Add the numerator to the answer gotten in the previous step
3. divide the number gotten in the previous step by the denominator
(1 x 4) + 3 = [tex]\frac{7}{4}[/tex]
7/4 x 1/3 = 7/12
what is the meaning of kiss
Answer:
wrong subject but, kiss means i guess to lock lips in a passionate way or in a greeting way. In some countries kissing someone on the cheek or past the cheek is a sign of a greeting i believe.
In short kissing means a way to show compassion or love.
Jennifer made a baby blanket that is 2 feet by 3 feet. She has a queen size blanket that is 6 feet by 9 feet. How does the area of the baby's blank t compare to the size of the queen sized blanket?
The area of the queen sized blanket is 9 times bigger than the area baby blanket.
What is the area of a rectangle?
The area of a rectangle is the multiplication of it's length and breadth.
Here, the area of the baby blanket = 2 × 3 square feet = 6 square feet.
The area of the queen sized blanket = 6 × 9 square feet = 54 square feet.
Therefore, the ratio of the baby blanket : queen sized blanket
= 6 : 54
= 1 : 9
Hence, area of the queen sized blanket is 9 times bigger than the area baby blanket.
Lear more about the area of the rectangle here: https://brainly.com/question/24408520
#Tag #SPJ2
y=-2
4x-3y=18
solve for x and y
No need to solve for y. The value of y is given. See it?
To find x, plug the given value of y into
4x - 3y = 18.
4x - 3(-2) = 18
4x + 6 = 18
4x = 18 - 6
4x = 12
x = 12/4
x = 3
Answer: y = -2 and x = 3.
Understand?
Answer:
X=3 y=-2
Step-by-step explanation:
4x-3y=18
4x-3(-2)=18
4x+6=18
4×=18-6
4x=12
divide both sides by 4
X=3
please help im stuck on this question
Answer:
(12,0)
Step-by-step explanation:
slope m=
[tex]\frac{54-36}{27-22} =\frac{18}{5}[/tex]
[tex]y-36=\frac{18}{5}(x-22)\\\\5y-180=18x-396\\\\y=\frac{18x}{5} -\frac{46}{5}[/tex]
[tex]0=\frac{10}{5}x-\frac{46}{5}\\\\x=\frac{216}{18} =12[/tex]
hope it helps...
have a great day
Find the magnitude of vector v with initial point (7,5) and terminal point (-3,-5).
Answer:
10√2
Step-by-step explanation:
magnitude of vector v = √Δx² + Δy² = √(-3 - 7)² + (-5 - 5)² = √(-10)² + (-10)²
magnitude of vector v = √200 = 10√2
T or F: If you consume more calories, you must decrease your physical activity to have energy
balance.
(not math but for pe)
Answer:
F
Step-by-step explanation:
When your losing weight after consuming more calories, you need to increase physical activity to increase the number of calories your body uses for energy.
NEED NOW WILL NAME BRAINLYIST
Determine if the three side lengths given in each problem can create a triangle or not.
a. 12 cm, 14 cm, 20 cm
b. 4 m, 8 m, 12 m
c. 23 cm, 12 cm, 13 cm
Answer:
a) yes
b) no
c) yes
Step-by-step explanation:
the sum of the 2 shorter sides must be longer than the longest side
Answer:
a and c can make a triangle.
Step-by-step explanation:
the sum of 2 sides must be greater than the last side, all the way around. so 12+14 is better than 20. but 4+8 is not better than 12