Answer:
Population of fish in 2010 = 1,646 fish (Approx.)
Step-by-step explanation:
Given:
Population of fish in 2002 = 2100 fish
Decrease rate = 3% per year
Find:
Population of fish in 2010
Computation:
Number of year = 2010 - 2002
Number of year = 8 year
A = P[1+r]ⁿ
Population of fish in 2010 = Population of fish in 2002[1+(-3%)]ⁿ
Population of fish in 2010 = 2100[1-0.03]⁸
Population of fish in 2010 = 2100[0.97]⁸
Population of fish in 2010 = 2100[0.7837]
Population of fish in 2010 = 1645.77
Population of fish in 2010 = 1,646 fish (Approx.)
matthew made slightly larger blanket that was 8 Ft long. Its area is 64 sq ft what is its perimeter?
Answer:
32 ft
Step-by-step explanation:
Given data
Length= 8ft
Area= 64 f^2
Let us find the width
Area= Length*Width
64= 8* Width
Width= 64/8
Width= 8ft
Hence the perimeter= 2L+2W
P= 2*8+2*8
P= 16+16
P= 32 ft
A rainwater collection tank is shaped like a cylinder with a diameter of 4 ft and a height of 6 ft. What is its volume?
HELP ASAP! THANKS!
Kade is gathering box tops for his school. Last year he was able to collect 312 box tops. Out of 312 box tops, 24 were already expired. He collected 441 box tops this year. How many boxtops will be expired this year if Kade can estimate the number of box tops that will expire this year using the ratio from last year? Round to the nearest whole number.
The number of box tops expired this year is 34.
What is the ratio?The ratio is defined as the comparison of two quantities of the same units that indicates how much of one quantity is present in the other quantity.
Given that, Last year he was able to collect 312 box tops. Out of 312 box tops, 24 were already expired.
So, the ratio is 312:24
39:3
13:1
He collected 441 box tops this year.
Here, the ratio is 441/13 =34
Therefore, the number of box tops expired this year is 34.
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Describe how the graphs of y = |x| and y = |x+2| are related.
A. The two graphs have the same shape but the second graph is shifted 2 units right.
B. The two graphs have the same shape but the second graph is shifted 2 units up.
C. The two graphs have the same shape but the second graph is shifted 2 units left.
D. The two graphs have the same shape but the second graph is shifted 2 units down.
Answer: C
Step-by-step explanation:
Pls I’m begging my soul
Answer:
2.
3p+15−8+11p
=3p+15+−8+11p
Combine Like Terms:
=3p+15+−8+11p
=(3p+11p)+(15+−8)
=14p+7
Answer:
=14p+7
3.
Let's simplify step-by-step.
14p+15−8
=14p+15+−8
Combine Like Terms:
=14p+15+−8
=(14p)+(15+−8)
=14p+7
Answer:
=14p+7
4. Factor 14p+7
14p+7
=7(2p+1)
Answer:
7(2p+1)
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<3
Answer:
X = 99
Step-by-step explanation:
The graph of a logarithmic function is shown below.
What is the domain of the function?
The average of Blanca's first three test scores was 90. The average of her next two test scores was 95. What was the average of Blanca's first five test scores?
Answer:
92.5
Step-by-step explanation:
you would add 90+95 which is 185 then divide that by 2 to get ur answer
0.326 as a fraction
Answer:
163/500
Step-by-step explanation:
we will not only clearly explain how to get the answer to 0.326 as a fraction, but also prove to you that our answer is correct.
First, note that 1000 multiplied by .326 will get rid of the decimal point. Therefore, make a fraction where the numerator is .326 times 1000 and denominator is 1000 like this:
.326 x 1000
1000
Next, multiply the numbers in the numerator together and keep the denominator as is. Now our fraction looks like this:
326
1000
The greatest common factor of 326 and 1000 is 2, which means you can divide the numerator and denominator by 2 and keep the same value:
326 ÷ 2
1000 ÷ 2
And when calculating the numerator and denominator in our fraction above, we get .326 as a fraction in the simplest form possible:
.326 =
163
500
The diameter of a circle is 8 feet. What is the length of a 45° arc?
Answer:
3.14 ft
Step-by-step explanation:
45/360 × 3.14 × 8
= 1/8 × 3.14 × 8 = 3.14 ft
PLS HELP ASAP thx>3
In a certain Algebra 2 class of 26 students, 6 of them play basketball and 15 of them play baseball. There are 9 students who play neither sport. What is the probability that a student chosen randomly from the class plays both basketball and baseball?
Answer:
[tex]\frac{2}{13}[/tex]
Step-by-step explanation:
Since there are 26 students in the class and 6 play basketball, 15 play baseball, and 9 play neither, we need to find the intersection ([tex]\cap[/tex]) of the students who play basketball and the students who play baseball to find the number of students who play both.
Since it would appear that we would have 30 students total if we added up the ones who play basketball, baseball or neither, the intersection will be the difference between this total and the actual number of students in the class (26).
Therefore, the number of students who play both sports is [tex]6+15+9-26=4\:\text{students}[/tex]
Since there are 26 students in the class, the probability of randomly choosing one that plays both sports is:
[tex]\frac{4}{26}=\boxed{\frac{2}{13}}[/tex]
the box and whisker plot below shows the volunteer service hours performed by students at indian trail middle school last summer
vectors
p=(4,3) and q=(-2,7), find 4p -2q
Answer:
(20, -2)
Step-by-step explanation:
Given the coordinate vectors p=(4,3) and q=(-2,7),
4p - 2q = 4(4, 3)- 2(-2, 7)
4p - 2q = (16, 12) - (-4, 14)
4p - 2q = (16+4, 12-14)
4p - 2q =(20, -2)
hence the required vector is (20, -2)
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Given that mDE = 49° and mFG = 12°, find mFE.
Answer:
mFE = 119°Explanation:
mGB = 90°
mGB = mBD
∴ mGD = 180°
⇒ mFE = 180 - (mDE + mFG)
mFE = 180 - (49 + 12)
mFE = 180 - 61
mFE = 119°
Answer:
119°
Step-by-step explanation:
[tex] In\: \odot A, [/tex] GD is diameter.
[tex] \therefore m\widehat{GFD} = 180\degree [/tex]
[tex] \because m\widehat {FG} +m\widehat {DE} = m\widehat {FE} \widehat{GFD} [/tex]
[tex] \therefore m\widehat {FG} +m\widehat {DE} + m\widehat {FE} = 180\degree [/tex]
[tex] \therefore 49\degree +12\degree + m\widehat {FE} = 180\degree [/tex]
[tex] \therefore 61\degree + m\widehat {FE} = 180\degree [/tex]
[tex] \therefore m\widehat {FE} = 180\degree - 61\degree [/tex]
[tex] \therefore m\widehat {FE} = 119\degree [/tex]
10. Find the total surface area of the triangular prism
shown below.
Answer:
I think its 132.
The total surface area of the triangular prism is 200 cm².
Triangular prism surface areaSurface area = (Perimeter of the base × Length of the prism) + (2 × Base Area)
How to find the surface area of the triangular prism?First, find the height of the prism.
Let h is the height of the prism
Use the pythagoras theorem
then
5² = (6/2)² + h²
5² = 3² + h²
25 = 9 + h²
h² = 25 - 9
h² = 16
h =4
Now apply the surface area formula
total surface area = ( 5 + 5 + 6) 11 + 6×4
= 16 × 11 + 24
= 176 +24
= 200 cm²
Hence the surface area is 200 cm²
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An angle has a measure of 150° and a terminal side that intercepts the unit circle at (x,y). What are the values of x and y?
Answer:
x = -√3 /2
y = ½
Step-by-step explanation:
x = cos 150°= -√3 /2
y = sin 150° = ½
B) Una empresa A gana S/ 42 758,35 en un ano. Si la empresa B gastara S/ 8774,55; tendria tantas ganancias como la primera empresa. Cual es la ganancia total de la empresa B?
Answer:
Las ganancias totales de la empresa B en dicho año fueron de $51.532,90.
Step-by-step explanation:
Dado que una empresa A gana $42.758,35 en un año, y si la empresa B gastara $8.774,55 tendría tantas ganancias como la primera empresa, para determinar cuál es la ganancia total de la empresa B se debe realizar el siguiente calculo:
Ganancias B - 8.774,55 = 42.758,35
Ganancias B = 42.758,35 + 8.774,55
Ganancias B = 51.532,90
Por lo tanto, las ganancias totales de la empresa B en dicho año fueron de $51.532,90.
The cone and the sphere have the same volume. The diameter of the cone is 24 cm, and the diameter of the sphere is 18 cm.
What is the HEIGHT of the CONE? Use 3.14
Find the slope of a line that passes through the points (7, -2) and (-4, 5).
Answer:
-11/7
Step-by-step explanation:
y1-y2/x1-x2
7-(-4)/-2-5
11/-7
Answer:
-7/11
Step-by-step explanation:
y2 - y1 / x2 - x1
5 - (-2) / -4 - 7
= 7 / -11
= -7/11
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Answer:
a
Step-by-step explanation:
(50 points) Write an equation for the sine waves.
Answer:
It started from the Origin(Sine graph). It curved upwards immediately it started... Meaning graph's amplitude is gonna be positive one
The Equation for a sine graph is ASin[B(x-C)] + D
A=Amplitude
B= 2π/period
C= c value at the starting point.
D= y value at starting point
Let your Starting point be at the sinusoidal axis (Max + Min)/2.
Looking at this graph
Let's take 1cm on the y axis to be 1unit(1,2,3,4...)
On the x axis... let's take 1cm to be π units(π,2π,3π....)
To get the sinusoidal axis Max - Min/2
Since 1cm is 1unit
Max =1 (from the graph)
Min= -1
1-1/2 = 0
The axis is at the center of middle
Meaning
D=y=0(Its directly at the x axis)
From this axis at the origin... The graph goes... Intercept Maximum... intercept Minimum... Meaning its a Positive sine graph.
A=amplitude = 1cm
B=Period...(Time to complete one Oscillation)
It doesn't fall directly on an x value... It falls at the 1.9th position. or 19/10
B=2π/Period.
B=2π/19/10
B=2π x 10/19
B=20π/19
C=0
Writing the Equation
Y= 1Sin[20π/19(x-0)] +0
ie
Y = Sin [20πx/19]
My thoughts on it
Correct me if wrong... Thanks
Please help! DO NOT SEND LINK!
Answer:
Mizuki here to answer!
The correct answer would be 15 inches!
Step-by-step explanation:
7200 ÷ (24 x 20) = 15
Answer:
Hello! answer: 15
Step-by-step explanation:
The volume is 7200 volume is found by doing length × width × height therefore the height is 15 because... 24 × 20 × 15 = 7200 HOPE THAT HELPS!
For the given measure
, find the measure of the supplementary angle and the measure of a complementary angle, if possible. If not possible, type the word none in lowercase letters in the box.
82 degrees
Answer:
The supplementary angle is
153°.
The complementary angle is
63°.
Step-by-step explanation:
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The measure of the supplementary angle and the measure of a complementary angle as follows; The supplementary angle is 153°. The complementary angle is 63°.
What are complementary angles?Two angles whose sum is 90° are called complementary angles.
Two angles whose sum is 180° are called supplementary angles.
If a straight line is intersected by a line, then there are two angles form on each of the sides of the considered straight line.
Those two-two angles are two pairs of supplementary angles.
That means, if supplementary angles are aligned adjacent to each other,
their exterior sides will make a straight line.
Therefore, The supplementary angle is 153°.
The complementary angle is 63°.
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PLS ANSWER!! +GIVING BRAINLIEST FOR 1ST CORRECT ANSWER
Answer:
18
Step-by-step explanation:
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18
Answer:
144 ounces
Step-by-step explanation:
Susie flips a coin three times. what is the probability of her getting tails all three times?
Answer:
18
Step-by-step explanation:
Hoped this helped!!
Answer:
1/8 or 12.5%
Step-by-step explanation:
It is a 0.5 percent chance of getting tails in a coin flip. Since you flip the coin three times, multiply the probability of getting tails in a coin flip three times. (0.5) Times (0.5) Times(0.5)= 1/8 or 12.5%.
Which inequality is true when the value of u is 10?
u – 3<-6 , u-3>-6 , -u-3>6 , -u-3>-6
Answer:
The answer is: u-3>-6
This is because 10-3=7 and 7>-6
33%
The diagram shows a square ABDE and an isosceles triangle BCD.
Angle C = 40°
Work out the size of angle EBC.
А
B
40°
E
Answer:
ans = <ebc= 115°
hope this will help
.
.
Given: BD ≅ DE, CD ≅ DF
Prove: BC ≅ EF
answer:
statements
1. BD ≅ DE
2. CD ≅ DF
3. ∠BDC ≅ ∠EDF
4. ▲BDC = ▲EDF
5. BC ≅ EF
reasons
1. given
2. given
3. definition of vertical angles
4. SAS
5. CPCTC
step-by-step explanation:
vertical angles are equalSAS means side-angle-side — two triangles are congruent when they meet the "requirements" for SASCPCTC means corresponding parts of congruent triangles are congruent — when two triangles are congruent, their corresponding parts are also congruentA milk-dairy produces 25,545 litres of milk every day. It supplies 15,625 litres of milk to a milk-depot and rest to the market. How much milk is supplied to the market ?
Answer:
plz mark brainliest
Answer:12345678910
Step-by-step explanation: