After the last ice age began, the number of animal species in Australia changed rapidly.
The relationship between the elapsed time, t, in years, since the ice age began, and the total number of animal species, S(t), is modeled by the following function:
S(t)=4,200,000⋅(0.72)t
Complete the following sentence about the yearly percent change of the number of animal species.
Every year, _______ percent of species are SUBTRACTED/ADDED from the total number of animal species.
Answer:
Every year 28 percent of species are SUBTRACTED from the total number of animal species.
Step-by-step explanation:
Exponential growth or decay:
The equation for exponential growth or decay has the following format:
[tex]A(t) = A(0)(1+r)^t[/tex]
In which A(0) is the initial amount and r is the growth/decay rate, as a decimal.
If r > 0, each year r percent is added to the total number, and if r < 0, each year, r percent is decreased from the total number.
In this question:
[tex]S(t) = 4200000(0.72)^t[/tex]
So
[tex]1 - r = 0.72[/tex]
[tex]r = 0.72 - 1 = -0.28[/tex]
Thus
Every year 28 percent of species are SUBTRACTED from the total number of animal species.
whats a mode in a data set
Answer:
The data value that appears the most.
Step-by-step explanation:
In the data set 1,1,1,2,2,3,4,4 one would be the mode, as it is the number that appears the most.
What is the domain for √(3x-3)? *
all real numbers except x=1
all real numbers for x≥1
all real numbers for x≥0
all real numbers except x=0
Which shows the best path to find the number of centimeters in 1 yard?
yards -> inches -> centimeters
yards -> feet -> centimeters
centimeters -> feet -> inches
centimeters -> feet -> yards
Answer:
yards feet centimeters
In Exercises, we present descriptions of designed experiments. In each case, identify the
a. experimental units.
b. response variable.
c. factor(s).
d. levels of each factor.
e. treatments.
Oat Yield and Manure. In a classic study, described by F. Yates in The Design and Analysis of Factorial Experiments (Commonwealth Bureau of Soils, Technical Communication No. 35), the effect on oat yield was compared for three different varieties of oats and four different concentrations of manure (0, 0.2, 0.4, and 0.6 cwt per acre).
Answer:
Experimental unit = Oat
Response variable = Oat yield
Factors : Oat varieties ; Manure Concentration
Level of factors :
Oat = 3 levels
Manure concentration = 4 levels
Step-by-step explanation:
The experimental unit in this scenario is Oat, as it is the material or entity which we wish to research or learn about.
The response variable is what we intend to measure about the experimental unit, which is the yield of oat.
Factors here are the varieties of oat and the concentration of Manure which are the entities responsible for changes in the output or behavior of the dependent variable.
Level of factors : the different varieties of the factor variable, we have three Oat levels and 4 different Manure concentration levels.
Three people are sitting on a bus. Porter is seated 8 feet directly behind Ellen and 3 feet
directly left of Alice. How far is Ellen from Alice? If necessary, round to the nearest tenth.
Answer:
Ellen is 8 Ft. and 5 In. away from Alice .
Step-by-step explanation:
By connecting the people like dots , you'd create a right triangle . The distance between Ellen and Alice would be the slant height .
To find the slant height , you could use the formula stated below .
Formula: A^2 + B^2 = C^2 .
A and B represent the distance between Porter between Ellen , as well as the distance between Porter and Alice . C represents the slant height , or how far Ellen is from Alice .
Substitute the variables with the given information and solve .
Substitution: 8^2 + 3^2 = 73 .
Simplify the final value by finding the square root of it .
√73 = 8.54400374532
As stated in the question , you should round the final value to the nearest tenth if necessary .
8.54400374532 ( Rounded ( Tenth ) = 8.5 Ft.
The rounded value would be 8.5 feet .
Can somebody please help me out please my grads are bad
Which statements are true? Select all that apply.
Answer:
A,B, D
Step-by-step explanation: I just took that test and i got it right
A circular plate has circumference of 26.4 inches. What is the area of this plate? Use 3.14 for pi.
Answer:
55
Step-by-step explanation:
i did the test and got 55. the actual answer is 55.49, but you have to round.
In the Formula SA=1/2PL+B
What does "L" Mean.
A. the height of the prism
B. the slanted height of the prism
C. the slanted height of the pyramid
D. the height of the pyramid
Please help
Answer:
L = the slanted height of the pyramid
Step-by-step explanation:
The surface area of a pyramid is given by :
[tex]SA=\dfrac{1}{2}PL+B[/tex]
Where
P is perimeter of base of pyramid
L is the slant height of the pyramid
B is the area of base.
So, the correct option is (c) "the slanted height of the pyramid".
A mountain climber ascends hundred feet per hour from his original position. after six hours is fine opposition is 11,600 feet above the sea find climbers original position
Answer:
Original position =6,800 feet.
800 (ft per hour) x 6(hours) =4800 ft
11,600-4,800=6,800 feet
Step-by-step explanation:
88.128 x 0.5 Multiplication question
Answer: 44.064
Step-by-step explanation:
Answer:
44.064
thats the answer
!!!!Plz Help!!!! How does the slop of AB compare with the slope of the parallel line as you move points A, B, and C? What conclusion can you draw about the relationship between the slopes of parallel lines?
Answer:
As points, A and B move, the slope of the two lines change but remain equal to each other. As point C moves, the slope does not change but remains equal to each other since the line through C is drawn parallel to AB.
I can canclude that slope of any two parallel lines are equal
Step-by-step explanation:
Gary is cleaning windows. He sets his ladder 25 feet away from the wall of the house to reach the windows on the second story, which are at a height of 20 feet above the ground. He moves his ladder 15 feet closer to the wall to reach the windows on the third story of the house.
Approximately how high above the ground are the windows on the third story of the house?
A.33.5ft
B.28.3ft
C.30.4ft
D.32.0ft
The 28.3 feet high above the ground are the windows on the third story of the house.
It is required to find the height.
What is the Pythagorean Triple?The Pythagorean triple can be described as any three set of integers representing sides of a right triangle that are solutions to the Pythagorean Theorem, which is given as:
c² = a² + b².
Given that:
Distance between ladder and wall=25 feet
Height of window=20 feet
Closer distance between ladder and wall=15 feet
We know the Pythagoras theorem , we get
[tex]a^{2} +b^{2} =c^{2}[/tex]
we have
a=15 feet
b=?
c=25 feet
So,
[tex]a^{2} +b^{2} =c^{2}\\\\15^{2} +b^{2} =25^{2}\\\\225+b^{2} =625\\\\b^{2}=625-225\\\\b^{2}=400\\\\b=20 feet[/tex]≈28.3 feet
Therefore, the 28.3 feet high above the ground are the windows on the third story of the house.
Learn more about Pythagorean Triple here:
https://brainly.com/question/23738720
#SPJ5
find the value of x in each case. will be posting more questions soon.
2x^2 + 15x + 7 = 0
Step by step please!
Answer: How do you want this problem to be solved like by factoring? lmk
Step-by-step explanation:
Step-by-step explanation:
Let's solve your equation step-by-step.
2x2+15x+7=0
Step 1: Factor left side of equation.
(2x+1)(x+7)=0
Step 2: Set factors equal to 0.
2x+1=0 or x+7=0
x=−12 or x=−7
Answer:
x=−12 or x=−7
Find value of x
A. 15
B. 18
C. 16
D. 19
Answer:
x = 19
Step-by-step explanation:
By the Supplementary Angle Theorem we can say that;
123 + 3x = 180
3x = 57
x = 19
Hope this helps!
Ben rented a car. It cost $30.00 plus $0.25 per mile. If Ben paid $85.00 for the car rental, how many miles did he drive the car? Write an equation and then use your equation to find your answer.
Answer:
220 miles
Step-by-step explanation:
85-30=55
55/.25=220
220 = miles
Answer:
Equation:
30 + 0.25x = 85
Work:
30 + 0.25x = 85
85 - 30 = 55
55 / 0.25 = 220
Final answer:
200 miles
Step-by-step explanation:
Hope this helped and have a nice day!!!
Plzzzzz helpppp, Find the value of x
Answer:
51
Step-by-step explanation:
Please help me, this is probably my 20th time doing this topic and I haven't passed it yet.
Thank you very much!
Answer:
infinitely many
Step-by-step explanation:
Answer:
there is an infinite number of triangles that can be created.
Step-by-step explanation:
To satart, you have a line, that is 8 cm, with a circle, with the center on one of its endpoints, that has a radius of 3 cm. s in this case, 2 sides of the triangle would be 8 and 3. now, with this combintion, you could have a triangle that the missing side is from 6 to 10. there is an infinite amount of numbers inbetween 6 and 10. for example, you could have 6, 6 1/4, 6 1/8, or 6 1/16.
The list goes on and on.
When Mrs. Weeks bought all of the baseballs and softballs, she paid
for them using four $100.00 bills. How much change did she receive?
2. Write expressions that include parentheses and order of operations to
show how to find the answer. Show your work.
3. After school began, Mrs. Weeks realized that she needed more
basketballs and footballs. If she spent $135.00 on basketballs and
$48.00 on footballs, how many more balls did she purchase?
4. Write expressions the include parentheses and order of operations to
show how to find the answer. Show your work.
Part 3
Directions: Use pictures and equations to show your work.
At the end of the year, Mrs. Weeks bought an assortment of new balls to
replace some of the old ones. She had $150.00 to spend. Describe two
different ways that Mrs. Weeks could spend her money if she bought at least
two of each of the balls.
Use coins or cut out the manipulatives on the next page to help you act out
the problem. I need help on this one the most please answer
Answer:
eeeee
Step-by-step explanation:
Sybil has 1/2 of pizza left over. She wants to share the pizza with 3 of her friends. What fraction of the original pizza does sybil and her friends each receive.
Answer:
1/6
Step-by-step explanation:
Double the original amount: 1/3. Which is 1/6, not 2/6, if it was 2/6 then people waould get 1/3 instead (not equal).
Solve the system by substitution.
x = - 4y - 5
2x + 10y = 8
Answer:
x = -41
y = 9
Step-by-step explanation:
Begin by multiplying the top equation by 2
2x = -8y - 10
The second equation requires a little more care.
Start by moving 10y to the right. Normally the y value is on the left, but we are going to be substituting for 2x.
2x = - 10y + 8
What I've done is not the usual practice, but there is nothing wrong with it.
Now since both right sides are equal to 2x, you can substitute for them
-8y - 10 = -10y + 8 Add 10y to both sides
-8y + 10y - 10 = 8
2y - 10 = 8 Add 10 to both sides
2y = 8+10
2y = 18 Divide by 2
y = 18/2
y = 9
Use the second original equation to solve for x
2x + 10y = 8
2x + 10*9 = 8
2x + 90 = 8 Subtract 20 from both sides
2x = 8 - 90
2x = - 82 Divide by 2
x = -822/2
x = - 41
Which point is a solution to the system of inequalities?
StartLayout Enlarged left-brace first row y greater-than-or-equal-to one-half x squared + 4 second row y less-than StartRoot x + 2 EndRoot + 6 EndLayout
(–2, 6)
(1, 9)
(2, 8)
(0, 4)
D) (0,4)
Correct on Edge 2021
The correct option is 4. (0,4)
Given inequalities are [tex]y\geq \frac{1}{2} x^{2} +4[/tex] and [tex]y< \sqrt{x+2}+6[/tex] .
Taking first inequality,
[tex]y\geq \frac{1}{2} x^{2} +4[/tex]
Or, [tex]y=\frac{1}{2} x^{2} +4[/tex]
now checking which option satisfy the above equation.
Taking option 1.(–2, 6)
on putting x= - 2 and y=6, we get
[tex]6= \frac{1}{2} (-2)^2+4[/tex]
[tex]6=6[/tex]
Hence option 1 (–2, 6) satisfy the equation.
Similarly checking for option 2 and 3 we find that these options totally not follow inequality, so option 3 and option 2 must not be the solution of given inequality.
Now option 4 (0, 4).
Putting x=0 and y = 4, we get
[tex]4=0+4\\4=4[/tex]
Hence option 4 also satisfy the first inequality.
Now we have two option to choose our final answer option 1 and option 4.
since option 4 lies in the shaded region so option 4 will be correct option.
Hence the correct option is 4. (0,4)
For more details follow the link:
https://brainly.com/question/11897796
If bob has 10 apples and joe takes 2 how many apples does bob have ?
10-2=8
So,Bob has 8 apples left
Answer:
8 apples
Step-by-step explanation:
10-2=8 apples
How many apples does Bob have ? Bob is left with 8 apples now.
IV
Evaluate the following:
a) A tea manufacturing company produces normal and green tea bags only. If 52.8% of 36850 total
production is normal tea bags, how many green tea bags are there?
b) If 61.6% of students out of 9855 total students are based in England, how many students are
based in England?
Answer:
A. Ans: Given,
Solution,
A tea manufacturing company produces normal and green tea bags only.
52.8% of 36850 production is normal tea bags.
Now,
Number of green tea bags=52.8% of 36850
=52.8/100×36850
=19456.8
Therefore, Number of normal tea bags=19456.8
The number of green tea bags is 17384
The number of students is 3071
What is Percentage?
A percentage is a number or ratio expressed as a fraction of 100. It is often denoted using the percent sign, %
Given data ,
a )
Total production of tea bags = 36850
Percentage of normal tea bags = 52.8 %
Total production of normal tea bags =
Percentage of normal tea bags x Total production
Total production of normal tea bags = ( 52.8 / 100 ) x 36850
= 19465.8 tea bags
Therefore , total amount of green tea bags = Total tea bags - Total normal tea bags
= 36850 - 19465.8
= 17384.2
≈≈ 17384
Hence , Total amount of green tea bags = 17384.2
b )
Total number of students = 9855
Percentage of students based in England = 61.6 %
Number of students based in England = Percentage of students x Total number of students
Number of students based in England = ( 61.6 / 100 ) x 9855
= 6070.68
≈ 6071
Hence , total number of students based in England = 6070.68
To learn more about Percentage click :
https://brainly.com/question/28496811
#SPJ2
The pentagons JKLMN and PQRST are similar.
Find the length x of PQ.
Answer:
[tex]x = 9[/tex]
Step-by-step explanation:
Given
The similar pentagons
Required
Find x
To do this, we make use of any equivalent ratios.
In this case, we use:
[tex]KL : QR = KJ : QP[/tex]
Replace each of the above with the side lengths
[tex]4 : 7.2 = 5 : x[/tex]
Express as fractions
[tex]\frac{4 }{ 7.2} = \frac{5 }{ x}[/tex]
Cross multiply
[tex]4 * x = 5 * 7.2[/tex]
[tex]4x = 36[/tex]
Divide by 4
[tex]x = 9[/tex]
3,984,896 rounded to the nearest hundred
Answer:
3,984,896 rounded to the nearest hundred is 3,984,900
Please help !! If you help i’ll give 5 stars
Answer:
Imaginary
Step-by-step explanation:
what is the volume of the prism 2m x 3m x 5m
Answer:
30 m³
Step-by-step explanation:
2 m x 3 m x 5 m= 30 m³
If my answer is incorrect, pls correct me!
If you like my answer and explanation, mark me as brainliest!
-Chetan K