• Climate change increases local plant species richness, at least temporarily
• Empirical and modeled data suggest an increase of ∼5% per decade in cool regions
• Climatic perturbation is identified as a process driving biodiversity accrual
• Uneven global coverage of field data could be obscuring other climatic effects
New York City is 2.727272.% of the United States' population. NYC's population is 9 million people. What is the population of the United Sates?
The population of US is 330 million approx.
What is percent?A percentage is a figure or ratio that can be stated as a fraction of 100. If we need to calculate the percentage of a number, we must divide it by its full value and then multiply it by 100. As a result, the percentage is one part in one hundred. "Per 100" is short for "per percent." The number "%" is used to symbolize it.
Given
population of new york = 2.727272% population of US
population of new york = 9 million
population of US = 1/2.727272% of new york
population of US = 36.6666 x 90,00,000
population of US = 33,00,00,087.9 = 330 million approx
Hence population of US is approx 330 million.
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Find the volume of the solid figure.
The volume of the composite solid found using the volumes of cuboids is 510 cm³.
What is a cuboid?
A cuboid is a six-sided solid known as a hexahedron in geometry. Quadrilaterals make up its faces. A cuboid is similar to a cube in that a cuboid can become a cube by varying the lengths of the edges or the angles between the faces. Another name for a cuboid is a rectangular prism. Three dimensions, including length, breadth, and height, define a cuboid. A cuboid with integer edges is referred described as being perfect. The base rectangular face multiplied by the height gives a cuboid's volume.
This figure can be considered a composite figure consisting of two cuboids.
The total volume is the sum of the volumes of the larger and the smaller cuboids.
Larger cuboid dimensions
length l = 5cm
width w = 7cm
Height h = 12 cm
Volume V = l * w * h = 5 * 7 * 12 = 420 cm³
Smaller cuboid dimensions
length l = 5cm
width w = 2cm
Height h = 9 cm
Volume v = l * w * h = 5 * 2 * 9 = 90 cm³
The volume of the figure = V + v = 420 + 90 = 510cm³
Therefore the volume of the composite solid found using the volumes of cuboids is 510 cm³.
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These two polygons are similar.
Answer:
\(\huge\boxed{z=3}\)
Step-by-step explanation:
If two polygons are similar, then corresponding sides are in proportion.
The corresponding sides:
4 → x
y → 15
3 → w
2 → 6
z → 9
therefore:
\(\dfrac{z}{9}=\dfrac{2}{6}\) cross multiply
\((z)(6)=(9)(2)\)
\(6z=18\) divide both sides by 6
\(z=3\)
Answer:
Step-by-step explanation:
A bank account yeilds 7 percent interest, compounded annually. If you deposit $1,000 in the account, what will the account balance be after 5 years?
Answer:
The account balance after 5 years will be $1402.55.
What is the experimental probability of rolling the given result? a number more than 3 a. 0.88 c. 0.56 b. 0.34 d. 0.44
The the experimental probability of rolling the given result that a number more than 3 is D. 0.44
How to calculate the probability?Probability simply means the chance that a particular thing or event will happen. It is the occurence of likely events. It is simply the area of mathematics that deals with the numerical estimates of the chance that an event will occur or that a particular statement is true.
The following observations can be gotten based on the information:
1 = 32
2 = 36
3 = 44
4 = 20
5 = 30
6 = 38
Therefore, probability = sum of observation (3,4 and 5) / total no of observation
= 20 + 30+ 38 / 200
= 88 / 200
= 0.44
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A die is rolled 200 times with the following results. Outcome 1 2 3 4 5 6 Frequency 32 36 44 20 30 38 What is the experimental probability of rolling the given result? a number more than 3 a. 0.88 c. 0.56 b. 0.34 d. 0.44 Please select the best answer from the choices provided A B C D
What is the present value of R13 000 p.a. invested at the beginning of each year for 8years at 10%p.a. compound interest? (NB Use the compound interest tables provided or work to three decimal places only.)
Given statement solution is :- The present value of R13,000 per year invested for 8 years at 10% compound interest is approximately R69,776.60.
To calculate the present value of an investment with compound interest, we can use the formula for the present value of an annuity:
PV = A *\((1 - (1 + r)^(-n)) / r\)
Where:
PV = Present value
A = Annual payment or cash flow
r = Interest rate per period
n = Number of periods
In this case, the annual payment (A) is R13,000, the interest rate (r) is 10% per year, and the investment is made for 8 years (n).
Using the formula and substituting the given values, we can calculate the present value:
PV = \(13000 * (1 - (1 + 0.10)^(-8)) / 0.10\)
Calculating this expression:
PV = \(13000 * (1 - 1.10^(-8)) / 0.10\)
= 13000 * (1 - 0.46318) / 0.10
= 13000 * 0.53682 / 0.10
= 6977.66 / 0.10
= 69776.6
Therefore, the present value of R13,000 per year invested for 8 years at 10% compound interest is approximately R69,776.60.
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Belmont Middle School spends $23 for every workbook it buys. How much would it cost
Belmont Middle School to buy a total of 2 workbooks?
Answer:
26.......
Step-by-step explanation:
yeah thats the answer 26
Answer:
$46
Step-by-step explanation:
One workbook costs $23. 2 workbooks would cost $46 Because you need to add $23. 1+1=2, 23+23=46.
Need to know if f(x)=x-4 and g(x)=3x+5, find (f+g) (x)
Answer:
4x+1
Step-by-step explanation:
f(x)=x-4 and g(x)=3x+5,
(f+g) (x) = x-4 +3x+5
Combine like terms
= 4x+1
Is 5 / -12 positive or negative
Nicholas is covering a triangular area with mulch. The base of the area is 22 feet, and the height is 10 feet. One bag of mulch covers 8 square feet.
How many bags of mulch does Nicholas need??
1. 13 bags
2. 14 bags
3. 28 bags
4. 40 bags
Answer:
14 bags
Step-by-step explanation:
First find the area of the triangle, which is 1/2bh=A, so if you put the base and the height is it would be 1/2(22*10)=A or 1/2(220)=110. So the area is 110ft^2. If you then divide 110/8 to find out how many 8 ft^2 are in 110 ft^2 you get 13.75.
Answer:
14 bags
Step-by-step explanation:
¿5×1000+2×100+7×50?
Answer:5550
Step-by-step explanation:
Voy a poner esto en español para que puedas entenderlo, pero solo necesitas ponerlo en una calculadora.
Find the value that makes each equation true.
A. 110%n=11 n=
B.
(328 x 128) x k = 328 x (82 x 128)
K=
Answer:
A. \(n=100\)
B. \(k=0\)
Step-by-step explanation:
A. The equation "110% n = 11" can be solved as follows:
110% n = 11
To solve for n, we need to get rid of the percentage sign (%). We can do this by dividing both sides of the equation by 110%, or 0.110 (since 110% is equivalent to 1.1 in decimal form).
(110% n) / 110% = 11 / 110%
n = 11 / 0.110
n = 100
So, the solution for n in the equation "110% n = 11" is n = 100.
B. The given equation is:
(328 x 128) x k = 328 x (82 x 128) x k
To solve for k, we can simplify the equation using the properties of multiplication.
Step 1: Perform the multiplications inside the parentheses:
41984 x k = 328 x 10576 x k
Step 2: Rearrange the equation by applying the associative property of multiplication:
41984 x k = 328 x (10576 x k)
Step 3: Divide both sides of the equation by 328:
(41984 x k) / 328 = 10576 x k
Step 4: Cancel out the common factor of k on the left-hand side:
(41984 / 328) x k = 10576 x k
Step 5: Simplify the left-hand side:
128 x k = 10576 x k
Step 6: Subtract 10576 x k from both sides of the equation to isolate k:
128 x k - 10576 x k = 0
Step 7: Factor out k on the left-hand side:
k x (128 - 10576) = 0
Step 8: Simplify further:
k x (-10448) = 0
Step 9: Divide both sides of the equation by (-10448):
k = 0
So, the solution for k in the equation "(328 x 128) x k = 328 x (82 x 128) x k" is k = 0.
Identify the domain, vertical asymptotes and horizontal asymptotes of the following rational function
Given the rational function
\(f(x)=\frac{3x-4}{x^3-16x}\)Set the denominator equals zero and find the roots.
\(\begin{gathered} x^3-16x=0 \\ x(x-4)(x+4)=0 \\ x=0,4,-4 \end{gathered}\)The denominator is equal to zero when x = 0, 4,-4.
The domain of the function is all real numbers except the three points x=0, x=4 and x=-4.
Now, find the vertical asymptotes.
Firs, factor the numerator and denominator.
\(f(x)=\frac{3x-4}{x(x-4)(x+4)}\)To find the vertical asymptotes, determine where this function will be undefined by setting the denominator equal to zero.
\(\begin{gathered} x(x-4)(x+4)=0 \\ x=0,4,-4 \end{gathered}\)Neither x=0, x=4 nor x=-4 are zeros of the numerator, so the three values indicate three vertical asymptotes.
Now, find the horizontal asymptotes.
If the degree of numerator is less than degree of denominator, then the horizontal asymptote at y = 0.
Here, the degree of the numerator is 1 and the degree of the denominator is 3. So, the degree of the numerator is less than the degree of the denominator. Hence the horizontal asymptote at y = 0.
Please help. How can i find the volume of cylinder
THE # are the blue and grey
The volume of the cylinder would be 2120.6\(units^3.\)
To find the volume of a cylinder, you need to use the formula:
Volume = π x \(radius^2\) x height
Where π (pi) is a mathematical constant approximately equal to 3.14159, radius is the distance from the center of the cylinder to its edge, and height is the distance from one end of the cylinder to the other.
To apply this formula, you need to know the values of the radius and height of the cylinder. Once you have these values, simply substitute them into the formula and solve for the volume.
For example, if the radius of a cylinder is 5 units and the height is 27 units, the volume of the cylinder would be:
Volume = π x \(radius^2\)x height
Volume = 3.14159 x\(5^2\)x 27
Volume = 2120.6 \(units^3\)
Therefore, the volume of the cylinder would be 2120.6\(units^3.\)
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A fruit market equally divided 80 red apples into 8 containers, and equally divided 54 green apples into 6 containers. Natalie bought 1 container of red apples and 1 container of green apples. Which equation could be used to find n, the total number of apples Natalie bought?
Answer:
10 + 9 = n
19 apples
Step-by-step explanation:
80 ÷ 8 = y and 56 ÷ 6 = a
n = y + a
80 ÷ 8 × 8 = y × 8
80 = 8y
80 ÷ 8 = 8y ÷ 8
y = 10
54 ÷ 6 = a
54 ÷ 6 × 6 = a × 6
6a = 54
6a ÷ 6 = 54 ÷ 6
a = 9
10 + 9 = n
19 = n
Answer:
Step-by-step explanation:
The second one
80 / 8 tells how many red
+ 54 / 6 tells how many green
If the diameter of a circle is increased by 6 centimeters, what is the increase in the circumference of the circle?
Answer: 12\(\pi\) cm
Step-by-step explanation:
If the diameter of a circle increased by 6 centimeters it would be 12\(\pi\) cm because you still need to multiply 12 and \(\pi\) to get your answer for the increase of the circumference.
An electronics store offers students a discount
of 10% on purchases of computers. They
estimate that of computer sales are to
students. The average sale per customer is $498
and the store's profit is $80 before the discount.
What is the expected profit on the sale of a
computer?
show work
Answer:
83.9357% increase for the buyer
Step-by-step explanation:
Find the equation of the line.
Use exact numbers.
Answer:
y = - 3x + 7
Step-by-step explanation:
the equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
calculate m using the slope formula
m = \(\frac{y_{2}-y_{1} }{x_{2}-x_{1} }\)
with (x₁, y₁ ) = (0, 7) and (x₂, y₂ ) = (2, 1) ← 2 points on the line
m = \(\frac{1-7}{2-0}\) = \(\frac{-6}{2}\) = - 3
the line crosses the y- axis at (0, 7 ) ⇒ c = 7
y = - 3x + 7 ← equation of line
The equation of the line in fully simplified slope-intercept form is y = -2.8x + 7
Writing the equation of the line in slope-intercept form.The linear graph represents the given parameter
For the graph, we have the points
(0, 7) and (25, 0)
A linear equation is represented as
y = mx + c
Where
c = y when x = 0
So, we have
y = mx + 7
Using the point (2.5, 0) on y = mx + 7, we have
m(2.5) + 7 = 0
2.5m + 7 = 0
Evaluate
m = -2.8
So, we have
y = -2.8x + 7
Hence, the equation of the line in fully simplified slope-intercept form is y = -2.8x + 7
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You deposit $4000 each year into an account earning 8% interest compounded annually. How much will you have in the account in 15 years?
Answer:
13,227
Step-by-step explanation:
multiply the initial principal by one plus the annual interest rate raised to the number of compound periods minus one.
Which of the following represents the range of the graph of F(x) below?
A. x<2
B. All real numbers
C. y ≤ 2
-6
D. x≤2
FOX
6
(0, 2)
5
\(y \leqslant 2\)
find the missing angle
Answer:
? = 77°
Step-by-step explanation:
the 3 angles in a triangle sum to 180° , that is
? + 35° + 68° = 180°
? + 103° = 180° ( subtract 103° from both sides )
? = 77°
Answer:77
Step-by-step explanation:
180-103=77
Given the function, f(x) = 2x 4 + 2x2 – 4x, what is the maximum number of turning points the graph can have?
Step-by-step explanation: f ( x ) = x4 - x3 - 4x2 + 4x
The measure of an angle is 1°. Find the measure of the complement.
The measure of the complement of a 1-degree angle is 89 degrees.
The complement of an angle is defined as the angle that, when added to the given angle, results in a sum of 90 degrees. To find the measure of the complement of a 1-degree angle, we need to determine the angle that, when added to 1 degree, equals 90 degrees.
Let's denote the measure of the complement as x degrees. According to the definition, we can set up the equation:
1 degree + x degrees = 90 degrees.
To solve for x, we need to isolate it on one side of the equation. By subtracting 1 degree from both sides, we have:
x degrees = 90 degrees - 1 degree.
Simplifying the right side, we get:
x degrees = 89 degrees.
In summary, when an angle measures 1 degree, its complement measures 89 degrees. Complementary angles are pairs of angles that add up to 90 degrees. In this case, since the given angle measures only 1 degree, its complement is significantly larger, nearly forming a right angle. The concept of complementary angles is fundamental in geometry and can be applied to various problems involving angles and their relationships.
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In 1990, a total of $641 billion was spent on food and drinks in a particular country. In 2003, the total spent was $1016 billion.
(a) Find the equation of the exponential function that can be used to model the total 7 spent (in billions of dollars) on food and drinks in this country as a
function of the number of years t since 1990. (Round your decimal value to four decimal places.)
x
T=
(b) Use your model to predict the amount spent (in billions of dollars) in 2000. (Round your answer to the nearest integer.)
billion dollars
(c) What is your prediction for the total sales of food and drink (in billions of dollars) in 2018? (Round your answer to the nearest Integer.)
billion dollars
(d) Estimate when the total sales will reach $2 trillion if this exponential trend continues. (Round your answer to two decimal places.)
t=
Part(a),
The exponential function that models the total spent on food and drinks as a function of the number of years since 1990 is:
\(T(x) = 641 \times ((\dfrac{1016}{641})^{(\frac{1}{13}))^x\)
Part(b),
The predicted amount spent in 2000 is 964 billion dollars (rounded to the nearest integer).
Part(c),
The predicted total sales of food and drink in 2018 is 1756 billion dollars
Part(d),
If the exponential trend continues, the total sales will reach 2 trillion dollars approximately 32.72 years after 1990, which is around the year 2022.
(a) To model the total spent on food and drinks as an exponential function of the number of years since 1990, we can use the general form of an exponential function:
\(T = a \times b^t\)
where T is the total spent in billions of dollars, t is the number of years since 1990, a is the initial amount spent in 1990, and b is the growth factor or base of the exponential function.
Using the given information, we can set up two equations:
T(0) = 641 (total spent in 1990)
T(13) = 1016 (total spent in 2003, which is 13 years after 1990)
Substituting these values into the exponential function, we get:
\(641 = a \timrd b^0\) => a = 641
\(1016 = a b^{13\) => \(b = (\dfrac{1016}{641})^{\frac{1}{13}\)
Therefore, the exponential function that models the total spent on food and drinks as a function of the number of years since 1990 is:
\(T(x) = 641 \times ((\dfrac{1016}{641})^{(\frac{1}{13})^x\)
(b) To predict the amount spent in 2000, we need to substitute t = 10 (since 2000 is 10 years after 1990) into the exponential function:
\(T(10) = 641 \times ((\dfrac{1016}{641})^{(\frac{1}{13}))^{10\) ≈ 964
Therefore, the predicted amount spent in 2000 is 964 billion dollars (rounded to the nearest integer).
(c) To predict the total sales of food and drink in 2018, we need to substitute t = 28 (since 2018 is 28 years after 1990) into the exponential function:
\(T(28) = 641 \times ((\dfrac{1016}{641})^{(\frac{1}{13}))^{28\) ≈ 1756
Therefore, the predicted total sales of food and drink in 2018 is 1756 billion dollars (rounded to the nearest integer).
(d) To estimate when the total sales will reach 2 trillion dollars, we need to solve for t in the exponential function when T(t) = 2000 (since 2 trillion dollars is equivalent to 2000 billion dollars):
\(2000 = 641 \times ((\dfrac{1016}{641})^{(\frac{1}{13}))^t\)
\(ln(\dfrac{2000}{641}) = t \times ln((\dfrac{1016}{641})^{(\frac{1}{13})\)
\(t = \dfrac{ln(\dfrac{2000}{641})} { ln((\dfrac{1016}{641})^{(\frac{1}{13})) }}\)
t = 32.72
Therefore, if the exponential trend continues, the total sales will reach 2 trillion dollars approximately 32.72 years after 1990, which is around the year 2022.
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Which statements are true about the figure? Check all that apply,
The figure is a triangular prism,
The figure is a rectangular pyramid,
The figure has 6 vertices,
The figure has 6 faces,
The figure has 9 edges,
WILL MARK 5 STARS PLEASE SOS
Solve for x leave your answer in simplest radical form
Answer:
X=11 trust me on my mom
The Fibonacci sequence is 0, 1, 1, 2, 3, 5, 8, 13, . . . (where F0 0).
(a) Give the recursive definition for the sequence.
(b) Write out the first few terms of the sequence of partial sums: 0, 0 + 1, 0 + 1 + 1,. . .
(c) Give a closed formula for the sequence of partial sums in terms of Fn (for example, you might say F0 + F1 + · · · + Fn 3F 2 n−1 + n, although that is definitely not correct).
(Discrete Mathematics)
The Fibonacci sequence is the sequence in which the numbers are written such that each succeeding number is sum of two preceding numbers.
The Fibonacci sequence is defined recursively as follows:
F0 = 0
F1 = 1
For n > 1, Fn = Fn-1 + Fn-2
(b) The sequence of partial sums is:
S0 = 0
S1 = 0 + 1 = 1
S2 = 0 + 1 + 1 = 2
S3 = 0 + 1 + 1 + 2 = 4
S4 = 0 + 1 + 1 + 2 + 3 = 7
S5 = 0 + 1 + 1 + 2 + 3 + 5 = 12
(c) A closed formula for the sequence of partial sums in terms of Fn is not possible, since the sequence of partial sums depends on the values of all previous terms in the Fibonacci sequence. However, it is possible to express the nth term of the sequence of partial sums, Sn, in terms of the nth term of the Fibonacci sequence, Fn, using the following formula:
Sn = F0 + F1 + ... + Fn = (F0 + F1) + (F1 + F2) + ... + (Fn-1 + Fn) = F1 + F2 + ... + Fn + F0 + F1 + ... + Fn-1 = 2Sn-1 - Fn + F0
This formula can be derived by considering the previous term in the sequence of partial sums and adding the current term of the Fibonacci sequence to it.
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You want to be able to withdraw $30,000 from your account each year for 15 years after you retire. If you expect to retire in 25 years and your account earns 6.4% interest while saving for retirement and 5.6% interest while retired:
Round your answers to the nearest cent as needed.
a) How much will you need to have when you retire?
$ 448,704.35 (correct answer)
b) How much will you need to deposit each month until retirement to achieve your retirement goals?
c) How much did you deposit into you retirement account?
d) How much did you receive in payments during retirement?
e) How much of the money you received was interest?
Answer:
use calculator
Step-by-step explanation:
write a context story for the equation 32 divided by 5
Jim ate two slices of pizza, which is 25% of the pizza. How many slices were in the whole pizza?Sonya buys a baseball jersey for her brother on sale for 20% off. If the price she paid was $6 lower than the regular price, what was the original price of the jersey
There were 8 slices in the whole pizza.
How many slices were in the whole pizza if Jim ate two slices?An equation means the formula that expresses the equality of two expressions by connecting them with the equals sign =. Let us assume the number of slices in the whole pizza is "x".
Since Jim ate two slices which is 25% of the pizza, we will set up the equation:
2 = 0.25x
To solve for "x":
2 / 0.25 = x
x = 8.
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