Answer:
602.9 cm²
Step-by-step explanation:
==>Given:
A hemisphere with radius of 8cm
π = 3.14
==>Required:
Total surface area of hemisphere
==>Solution:
The total surface area of the hemisphere (TSA) = Curved surface area of hemisphere (CSA)+ base area (BA)
If surface area of a sphere is given as 4πr², therefore, the area of a hemisphere would be ½ of 4πr² = 2πr²
CSA = 2πr²
Base area (BA) = area of circle = πr²
Thus, TSA = 2πr2 + πr2 = 3πr2
TSA of hemisphere = 3 × 3.14 × 8²
TSA = 3 × 3.14 × 64
TSA = 602.88
TSA of hemisphere = 602.9 cm² (approximated to 1 decimal place)
mary's winning art design is shown. the smallest circle has radius 2 inches, with each successive circle's radius increasing by 2 inches. approximately what percent of the design is black?
Approximately 16% of the design is black.
Since the radius of each circle increases by 2 inches, the diameter of each circle increases by 4 inches. Thus, the diameter of the largest circle is 2 + 4(5) = 22 inches.
The area of each circle is proportional to the square of its radius, so the area of the smallest circle is π(\(2^2\)) = 4π square inches. The area of the second circle is π(\(4^2 - 2^2\)) = 12π square inches, the area of the third circle is π(\(6^2 - 4^2\)) = 20π square inches, and so on.
The total area of the design is the sum of the areas of all the circles, which is:
4π + 12π + 20π + 28π + 36π = 100π
The black area in the design consists of four quarter circles, each with a radius of 4 inches. The area of a one-quarter circle is:
(1/4)π(\(4^2\)) = 4π
So the total black area is 4 times this, or 16π.
The percent of the design that is black is:
(16π / 100π) x 100% ≈ 16%
Therefore, approximately 16% of the design is black.
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Which choice lists the numbers in increasing order?
Answer:
D
Step-by-step explanation:
Because negative is smaller than fractions. and ABC, is all off.
Answer: I think the answer is D/ the last answer
Step-by-step explanation:
PLS HELP ASAP WILL MARK BRAINLIEST
How do natural resources impact the economies of countries in Southern and Eastern Asia?
*Choose 2
Group of answer choices
Countries specialize in industries that require hard-to-find natural resources.
Countries usually specialize in industries that make use of natural resources they have available.
Industrialized countries usually sell their natural resources to underdeveloped countries.
Many countries specialize in growing rice because their climate and land is well suited for it.
Answer:
C
Step-by-step explanation:
for Japan and South Korea it's more about high tech industry and services. but they also import all the resources other countries lack.
Please help‼️ domain and range‼️
The domain and the range of the function are (-∝, ∝) and (0, ∝), respectively
Calculating the domain and range of the graph?From the question, we have the following parameters that can be used in our computation:
The graph
The above graph is an exponential function
The rule of an function is that
The domain is the set of all real values
In this case, the domain is (-∝, ∝)
For the range, we have
Range = (0, ∝)
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hi can someone help me with this I will thank u so much and give u stars and a thank u
Find the products mentally.
6.(0.8).2
(4.5) . (0.6) .4
Answer:
i think it is .64
Step-by-step explanation:
Omg someone help me ASAP I’ll give brainliest
Answer:
38 in²
Hope this helps and u are we
if you draw five cards at random from a standard deck of 52 cards, what is the probability that there are at least 4 distinct characters (letters or numbers)?
If you draw five cards at random from a standard deck of 52 cards, the probability that there are at least 4 distinct characters (letters or numbers) is 0.8406.
This probability is calculated using the combination formula. The formula states that the number of possible outcomes when selecting r items from a set of n is equal to n!/(r! (n-r)!). consider a deck of 52 cards, each with a unique letter or number. When selecting 5 cards at random, the probability of there being at least 4 distinct characters is the same as the probability of there being exactly 4 distinct characters.
This is because if there are 4 distinct characters, there must be a fifth card with a character that has already been drawn. Therefore, the probability of there being at least 4 distinct characters is the same as the probability of there being exactly 4 distinct characters. Since there are 52 possible characters and we are selecting 5 cards, the probability can be calculated using the combination formula and is equal to 0.8406.
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When slave starting a disabled vehicle, which of the following is an important safety consideration?
a. Ensure the battery caps are removed from bothvehicles batteries during the save start
b. Connecting the slave cable to the disables vehicle fisrt may cause damage to the batteries
c. The slaving vehicle engine must be running while connecting the slave cable
When slave starting a disabled vehicle, the term that serves an important safety consideration is c. The slaving vehicle engine must be running while connecting the slave cable
What is slave starting a vehicle?The dead car is started while the live vehicle's engine is running by inserting a slave cable into the receptacle on each vehicle.
Vehicles with manual transmissions rely heavily on the clutch slave cylinder. When the pedal is depressed, the clutch is disengaged and the transmission is shifted thanks to the slave and clutch master cylinders.
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Find the general form of the span of the Indicated matricesSpan (A1, A2, A3, A4);A1 = 1 0 00 1 0 0 0 1A2 = 0 1 10 0 1 0 0 0A3 = -1 0 -10 1 0 0 0 -1A4 = 1 -1 10 -1 -1 0 0 1
The general form of the span of (A1, A2, A3, A4) is the set of all 4x4 matrices of the form [a b 0 0; c d 0 0; e f g 0; 0 0 0 0], where a, b, c, d, e, f, and g are constants.
To find this set, we can use row reduction to put the matrices in reduced row echelon form and then express each matrix as a linear combination of the row echelon form matrices.
Performing row reduction on (A1, A2, A3, A4), we obtain:
[ 1 0 0 0 ]
[ 0 1 0 0 ]
[ 0 0 1 0 ]
[ 0 0 0 0 ]
We can express A1, A2, A3, and A4 in terms of the row echelon form matrices as follows:
A1 = [ 1 0 0 0 ]
[ 0 1 0 0 ]
[ 0 0 1 0 ]
[ 0 0 0 0 ]
A2 = [ 0 1 0 0 ]
[ 0 0 1 0 ]
[ 0 0 0 0 ]
[ 0 0 0 0 ]
A3 = [-1 0 0 0 ]
[ 0 -1 0 0 ]
[ 0 0 -1 0 ]
[ 0 0 0 0 ]
A4 = [ 0 -1 0 0 ]
[ 1 1 0 0 ]
[ 0 0 0 0 ]
[ 0 0 0 0 ]
Therefore, any linear combination of A1, A2, A3, and A4 can be expressed as:
[ a b 0 0 ]
[ c d 0 0 ]
[ e f g 0 ]
[ 0 0 0 0 ]
Hence, a, b, c, d, e, f, and g are constants.
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Diane is buying 6 apples that weigh 8
ounces each. The cost of the apples is
$3.74 per pound. How much will she
pay for the apples?
Answer:
Step-by-step explanation:
What we have as information:
6 apples
1 apple = 8 ounce
She pays 3.74 for each pound
Since we know that 1 pound is 16 ounces, that means that 1 apple is half a pound or we could say that 2 apples is 1 pound.
2+2+2 = 6 apples
(since 2 apples is one pound and there are 3 groups of 2,we can say that she bought 3 pounds)
3 times 3.74 = 11.22
She pays 11$ and 22cents.
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The diagram below shows a rectangle inside of a regular hexagon. the apothem of the hexagon is 17.32 units. to the nearest square unit, what is the area of the shaded region?
Answer:
your answer will be A)719 units²
Step-by-step explanation:
hope it helps ^_^
14% out of 100% equals how many people out of 10?
Answer:
1.4 people out of 10
Step-by-step explanation:
Just divide it by 10
Answer:
only 4 people
A sample of hamburger had a total mass of 200. g, of which 30.0 g was found to be fat. what is the percent of fat in this hamburger sample?
The percentage of fat in this hamburger sample is 15 %.
What is percentage ?Percentage is the value per hundredth.
According to the given question a sample of hamburger had a total mass of 200. g, of which 30.0 g was found to be fat.
To find what percentage of the hamburger contains fat we put amount of fat in the numerator and total amount on the denominator and multiply this fraction by 100 to obtain the result in terms of percentage.
∴ (30/200) × 100
= 3000/200
= 30/2
= 15 %.
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Is √8 greater than, less than, or equal to 4?
Answer:
Less than 4
Step-by-step explanation:
= ✓8 is equal to 2.83 which is less than 4
A panther runs at the speed of 80 km/h. What distance will it cover in 90 min?
Answer:
120 km
distance = speed * time
90 minutes can be converted to 1.5 hours
speed given 80 km/h and time given 1.5 hours
so distance = 80 * 1.5 = 120 km
Answer:
The panther will run 120 km in 90 mins
Step-by-step explanation:
An hour is 60 mins and you know in 1 hour the panther can run 80km
all you need to do is figure out how many miles an xtra 30 mins will be
60 minutes divided by 2 = 30 minutes and 80 km divided by 2 = 40km
Therefore 30 minutes = 40km
just add this to the original statement and you're good
60 mins + 30 mins = 90 mins
80km + 40km = 120km
The panther will run 120km in 90 mins
What number is in between 2/5 and 8/15 in its simpilist form
Answer:
búscalos
Step-by-step explanation:
Answer:
7/15
Step-by-step explanation:
2/5 can be converted into 6/15 by multiplying the numerator and denominator by 3. The next number between 6 and 8 is 7, so the answer is 7/15.
Find the fourth degree polynomial function with zeros 6,-6,6i
Answer:
See below
Step-by-step explanation:
6 is a solution to x-6=0, -6 is a solution to x+6=0, and 6i is a solution to x^2+36=0. So, we can do (x-6)(x+6)(x^2+36) to get (x^2-36)(x^2+36) which gets us x^4-1296. Therefore, the fourth degree polynomial with zeroes 6, -6, 6i is x^4-1296
State which metric unit you would probably use to measure each item.
length of a highway
To measure the length of a highway, the metric unit that would likely be used is kilometers (km). Highways are typically measured in longer distances, and kilometers provide a more appropriate and convenient unit for this purpose.
The metric unit that would probably be used to measure the length of a highway is kilometers (km).
When it comes to measuring the length of a highway, it is important to use a metric unit that is suitable for longer distances. The most commonly used metric unit for measuring long distances is kilometers (km). Kilometers provide a more convenient and appropriate unit for measuring highways because they cover larger distances compared to other metric units like meters or centimeters.
Highways can span across cities, states, or even countries, and kilometers allow for a more accurate representation of these extensive lengths. By using kilometers as the metric unit, we can easily estimate and compare the lengths of different highways. For instance, we can determine that Highway A is 100 kilometers long, while Highway B is 200 kilometers long. This helps in planning routes, estimating travel times, and overall transportation management. In conclusion, the metric unit that would probably be used to measure the length of a highway is kilometers (km).
The metric unit that is likely to be used for measuring the length of a highway is kilometers (km).
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f′(−2)=−1,f′(−1)=1,f′(0)=−2,f′(1)=5
A derivative of a function shows the rate of change of the function at any point on the function. the original function f(x) is:\($$f(x) = \frac{c_1}{4}x^4 + \frac{c_2}{3}x^3 + \frac{c_3}{2}x^2 + c_4x + c_5$$$$f(x) = \frac{1}{4}x^4 - \frac{5}{3}x^3 - x + 1$$\)
To find the equation of the original function f(x), we need to integrate the derivative function f′(x). Let's integrate the given derivative function f′(x) in order to get the original function f(x).
\($$\int f'(x) dx = \int (c_1x^3 + c_2x^2 + c_3x + c_4) dx$$$$ f(x) = \frac{c_1}{4}x^4 + \frac{c_2}{3}x^3 + \frac{c_3}{2}x^2 + c_4x + c_5$$\)
Now, we need to find the values of constants c1, c2, c3, c4 and c5 by using the given conditions:
f′(−2)=−1\($$f(-2) = \int f'(-2) dx = \int (-1) dx = -x + c_5$$\)
Put x = -2 in f(x) and f′(−2)=−1,\($$-1 = f'(-2) = \frac{d}{dx} (-2 + c_5) = 0$$\)
Hence, c5 = -1f′(−1)=1\($$f(-1) = \int f'(-1) dx = \int 1 dx = x + c_4$$\)
Put x = -1 in f(x) and\(f′(−1)=1,$$1 = f'(-1) = \frac{d}{dx} (-1 + c_4) = 0$$\)
Hence, c4 = 1\(f′(0)=−2$$f(0) = \int f'(0) dx = \int -2 dx = -2x + c_3$$\)
Put x = 0 in f(x) and \(f′(0)=−2,$$-2 = f'(0) = \frac{d}{dx} (-2 + c_3) = 0$$\)
Hence, c3 = -2\(f′(1)=5$$f(1) = \int f'(1) dx = \int 5 dx = 5x + c_2$$\)
Put x = 1 in f(x) and f′(1)=5,\($$5 = f'(1) = \frac{d}{dx} (5 + c_2) = 0$$\)
Hence, c2 = -5
the original function f(x) is:\($$f(x) = \frac{c_1}{4}x^4 + \frac{c_2}{3}x^3 + \frac{c_3}{2}x^2 + c_4x + c_5$$$$f(x) = \frac{1}{4}x^4 - \frac{5}{3}x^3 - x + 1$$\)
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There are 30 marbles in a bag. There are 11 red, 12 blue, and 7 green.
What is the probability of selecting a green marble?
A.) 30%
B.)37%
C.)40%
D.)23%
Answer: D.) 23%
Step-by-step explanation:
There is a 7/30 chance of selecting a green marble.
7/30 as a percent is 23.33333% and D is the closest answer.
On May 22, 1960, an earthquake in Chile measured 9.5 on the Richter scale. On February 27, 2010, another earthquake in Chile measured 8.8 on the Richter scale. Compare the intensities of the two earthquakes. Round to the nearest whole number.
Answer:
5
Step-by-step explanation:
use M = log (StartFraction I Over I Subscript 0 Baseline EndFraction)
Find the missing number___:7 = 12:21
A. 3
B. 4
C 14
D 12
Answer:
B. 4 would be your answer.
Step-by-step explanation:
7 x 3 = 21
4 x 3 = 12
:)
Answer:
B. 4.
Step-by-step explanation:
Let the number be x then
x/7 = 12/21
Crossmultiply:
x = 7*12 / 21
x = 12 / 3 = 4.
find the value of x
(words to meet the word thingy)
The required measure of angle x is given as 60°, for the given quadrilateral.
A quadrilateral is a four-sided enclosed shape, whose sum of the internal angle is equal to 360°,
Examples of the quadrilateral, square, rectangle, etc.
Here,
The sum of the angle of the quadrilateral is equal to 360,
So,
x + 100 + 130 + 66 = 360
x = 360 - 296
x = 64°
Thus, the required measure of angle x is given as 60°, for the given quadrilateral.
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Patty are is. 3 times audreys age plus 7. Party is 37. What is audreys age?
Answer:
19
Step-by-step explanation:
37/3= 12. something
12+7+19
One hundred trout are seeded into a lake. Absent constraint, their population will grow by 80% a year. The lake can sustain a maximum of 2000 trout. Using the logistic growth model, calculate the number of trout after 1 year.
After 1 year, the estimated number of trout in the lake would be approximately 209.
To calculate the number of trout after 1 year using the logistic growth model, we need to apply the formula:
\(N(t) = K / (1 + ( (K - N_0) / N_0 ) * e^{(-r * t)} )\)
Where:
N(t) is the population size at time t,
K is the carrying capacity (maximum population size),
N₀ is the initial population size,
r is the growth rate, and
t is the time period.
Given:
K = 2000 (maximum population size),
N₀ = 100 (initial population size),
r = 0.8 (growth rate),
t = 1 year.
Plugging in the values into the logistic growth formula, we get:
\(N(1) = 2000 / (1 + ((2000 - 100) / 100) * e^{(-0.8 * 1) })\)
Simplifying further:
\(N(1) = 2000 / (1 + (1900 / 100) * e^{(-0.8)} )\)
\(= 2000 / (1 + 19 * e^{(-0.8)} )\)
Calculating the exponential term:
\(e^{(-0.8)} = 0.4493\)
Plugging it back into the formula:
N(1) = 2000 / (1 + 19 * 0.4493 )
= 2000 / (1 + 8.5347)
= 2000 / 9.5347
≈ 209.67
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i need help with this
The solution of this system of inequalities is 2.
The given inequalities are
4d + 5 ≥ 13 ...(i)
7d - 2 < 12 ...(ii)
Now proceed the inequality (i)
4d + 5 ≥ 13
subtracting 5 both sides,
4d ≥ 8
Now dividing both sides by 4
d ≥ 2
Then, x∈[2, ∞)
Now proceed inequality (ii)
7d - 2 < 12
Adding 2 both sides
7d < 14
Dividing both sides by 7
d < 2
Then d∈(-∞,2)
Now the common point between these intervals is 2
Hence, the solution is 2.
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Write an equation in point slope form of the line passes through the point (9,0) and has a slope of m=-3
Answer:
\( \huge y = - 3(x - 9)\)
Step-by-step explanation:
To find an equation of a line in point slope form when given the slope and a point we use the formula
\(y - y_1 = m(x - x_1)\)
From the question we have the final answer as
\(y - 0 = - 3(x - 9) \\ \\ \\ y = - 3(x - 9)\)
Hope this helps you
HELP ASAP PLEASE WILL MARK BRAINIEST
Answer:
40
Step-by-step explanation:
Pls show your work thank you will mark the Brainliest
Answer:
The answer to the problem is c
When you graph it x+2y <-2
y-x<3 you will get c