Answer:
The function Q(t) = 4.5 billion (1.013)^t will give the population in t years
Step-by-step explanation:
Here, we want to write a function
The growth percentage is 1.3% = 1.3/100 = 0.013
The function Q(t) will be an exponential function and it will be represented as;
Q(t) = I ( 1 + r)^t
where I is the initial world population at 1980 = 4.5 billion
r is the growth percentage = 1.3% = 0.013
t is the time in years
Substituting these values, we have;
Q(t) = 4.5 billion (1 + 0.013)^t
Q(t) = 4.5 billion (1.013)^t
2. Find the length of segment JK with endpoints J(4,8) and K(-1,-2). Leave answer as a
radical. Simplify if necessary.
Answer:
Distance of JK = 15 unit
Step-by-step explanation:
Given:
J(4,8)
K(-1,-2)
Find:
Distance of JK
Computation:
Distance = √(x₂-x₁)² + (y₂-y₁)²
Distance of JK = √(-1-4)² + (-2-8)²
Distance of JK = √25 + 100
Distance of JK = √125
Distance of JK = 15 unit
Trevor surveyed attendees at a comic book convention about the distance they lives from the convention center in the top of ticket they purchased for the event the data he gathered is shown in a two-way table below how many people did Trevor survey
Answer:137
Im not completely sure though!
Step-by-step explanation:
Answer:
its 137 im 100% sure of it
Step-by-step explanation:
8 loads of stone weigh 2/5 ton. Find the weight of 1 load of stone.
Answer:
100 pounds
Step-by-step explanation:
2/5 ton equals 800 pounds
800 divided by 8 equals 100 pounds
A hot air balloon is descending at a rate of 6.75 feet per second.
What is the change in the balloon's height after 3 seconds?
The hot air balloon will descend 20.25 feet per second.
What is an expression?Expression in maths is defined as the collection of numbers variables and functions by using signs like addition, subtraction, multiplication, and division.
Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.
Given that a hot air balloon is descending at a rate of 6.75 feet per second. The height of the balloon after 3 seconds will be:-
Rate of change = Height / Time
6.75 = Height / 3
Height = 6.75 x 3 = 20.25 feet
Therefore, the hot air balloon will descend 20.25 feet per second.
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A farmer watered 3/7 of a field. What percentage is equivalent to the fraction of the field the farmer watered?
Answer:510
Step-by-step explanation:
Answer:
510
Step-by-step explanation:
-Зу = 7x - 21
Use intercepts to graph the line described by each equation
Answer: to get the equation needed to graph the equation, divide tach term by -3 to isolate y. The slope-intercept equation becomes
y = -7x/3 + 7
Step-by-step explanation:
Use the y-intercept to plot 7 on the y axis then plot a point down 7 and 3 to the right (3,0) and draw the line through those points.
which equation is equivalent to (r/s)(6)
Answer:
[tex]\frac{6r}{s}[/tex]
Step-by-step explanation:
Which number is the greatest? Which is the least
NEVER MIND DON'T DO THIS
BUT I DO NEED POINTS SO COMMENT
Answer:
Huh?
Step-by-step explanation:
Is this function? Please help
Answer:
Its a funcion if "x" doesnt repeat
Step-by-step explanation:
<2 and <3 are ____ angles
complementary
vertical
congruent
supplementary
Answer:
I think it's supplementary
Answer:
supplementary
Step-by-step explanation:
∠2 and ∠3 are supplementary angles
this means ∠2 and ∠3 are equal to 180
Chris Butcher earns $21,423 per year. His
personal exemptions include himself, his
wife, and their son. The state tax rate in
his state is 4.5 percent of taxable income.
What amount is withheld yearly for state
income tax?
Answer:
Step-by-step explanation:
What is 18 plus the quotient of 36 and 9?
The owner of a small deli is trying to decide whether to discontinue selling magazines. He suspects that only 10.7% of his customers buy a magazine and he thinks that he might be able to use the display space to sell something more profitable. Before making a final decision, he decides that for one day he will keep track of the number of customers that buy a magazine. Assuming his suspicion that 10.7% of his customers buy a magazine is correct, what is the probability that exactly 4 out of the first 13 customers buy a magazine
Answer:
0.0329 ≅ 0.03 to two decimal places
Step-by-step explanation:
The owner of a small deli is trying to decide whether to continue or discontinue selling magazines.
His suspicion that only 10.7% of his customers by a magazine (daily) is correct.
What is the probability that exactly 4 out of the first 13 customers (on this day) buy a magazine?
The probability is:
10.7% × 4/13 = 10.7/100 × 4/13 = 0.107 × 0.308 = 0.0329 ≅ 0.03 to two decimal places
If y varies directly as x, and y is 20 when x is 4, what is the constant of variation for this relation?
01 -
5
05
1
16
Answer:
5
Step-by-step explanation:
y
y=ax
where a is a constant of proportionality;
y=20, x=4
20=4a
a=20/4
a=5
y=5x
The constant of variation is 5
The constant of variation for the given relationship is 5.
What is Direct Variation?Direct variations are defined as the functions of the form y = kx, where k is a constant.
Here when y increases, x increases and if y decreases, x also decreases.
Given that,
y varies directly as x
So the equation will be of the form,
y = kx
Here k is the constant of variation.
Given, y is 20 when x is 4.
So, 20 = 4k
k = 20 / 4 = 5
Hence the constant of variation for the given relationship is 5.
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Pls help i need it now ill give brainliest if right (:
-7 [tex]\frac{9}{16}[/tex]
-2 3/4 = -2.75
-2.75^2 = -7.5625
-7.5625 = -7 [tex]\frac{9}{16}[/tex]
Select all polynomial expressions that are equivalent to 6x^4+4x^3-7x^2+5x+8
Complete question is;
Select all polynomial expressions that are equivalent to 6x⁴ + 4x³ – 7x² + 5x + 8.
A. 16x^(10)
B. 6x^(5) + 4x⁴ – 7x³ + 5x² + 8x
C. 6x⁴ + 4x³ - 7x² + 5x + 8
D. 8 + 5x + 7x² - 4x³ + 6x⁴
E. 8 + 5x – 7x² + 4x³ + 6x⁴
Answer:
Options C & E
C. 6x⁴ + 4x³ - 7x² + 5x + 8
E. 8 + 5x – 7x² + 4x³ + 6x⁴
Step-by-step explanation:
To find the polynomial expressions that are equivalent to 6x⁴ + 4x³ – 7x² + 5x + 8 simply means that both polynomials must have identical signs, identical number of terms and identical terms.
Now, by inspection of tall the options, we can see that options C & E are equivalent to the initially given polynomial.
For option C: 6x⁴ + 4x³ - 7x² + 5x + 8
This expression is the exact same thing as what was given in the question.
For option E: 8 + 5x – 7x² + 4x³ + 6x⁴
Rearranging this gives;
6x⁴ + 4x³ - 7x² + 5x + 8
Again this is exactly the same expression given to us in the question.
Oranges were on sale for $0.45 per pound. Leo bought 12.6 pounds. Which expression shows how to determine the total cost of the oranges?
12.6 times 0.45
12.6 minus 0.45
12.6 + 0.45
12.6 divided by 0.45
Answer:
12.6 times 0.45
price: .45
quantity: 12.6
cost = price x quantity
Answer:
12.6 x 0.45
Since you know how much Is each pound and you want to buy 12.6 pounds. all you have to do is multiply them both.
what is the product of 4/9 and 1/11? 4/99 5/99 9/44 1/4
Answer:
4/99
Step-by-step explanation:
Multiply the numerator and den0ominater, then stack them
Answer:
4/99
Step-by-step explanation:
4/9 * 1/11
Multiply the numerators
4*1 = 4
Multiply the denominators
9*11 = 99
numerator over denominator
4/99
plz help me I can't figure it out
Answer:
A.
[tex]\sqrt{500}[/tex]
Step-by-step explanation:
when a value is outside of the root, then you can square it and put it back in. After you put it back in, you need to multiply it by the number that is remaining
In this case, you would square 10 which equals 100, and put it back into the root and multiply 100 by 5.
100x5=500
Therefore, the answer is A, root 500
PLZ HELP I WILL MARK BRAINLEST!
Answer:
5
Step-by-step explanation:
80 is at the top and 40 takes half of the bottom so the other half is 40.
15/120 = 0.125 so...
40x0.125 will be your answer.
You get 5.
Davion’s crew can hang 12 sheets of drywall in 15 minutes. At this rate, how many sheets can they hang in 1 hour? (15 minutes # 1/4 hour
Answer:
48 sheets
Step-by-step explanation:
15*4=60m=1hr
So 12*4=48 sheets in an hour
What is the change that occurs to the parent function f(x) = x2 given the function f(x) = (x - 3)2.
A.)Graph moves 3 units down.
B.)Graph moves 3 units up.
C.)Graph moves 3 units left.
D.)Graph moves 3 units right.
9514 1404 393
Answer:
D.) Graph moves 3 units right.
Step-by-step explanation:
Replacing x with x-h moves the graph h units to the right. Here, h=3, so the graph is moved 3 units to the right.
parent: f(x) = x^2
translated: f(x) = (x -3)^2
The width of a slot of a duralumin forging is (in inches) normally distributed with μ= 0.9000 and σ = 0.0030. The specification limits were given as 0.9000 ±0.0050. Show your calculations. Draw normal curves wherever appropriate.
a) What percentage of forgings will be defective?
b) What is the maximum allowable value of σ that will permit no more than 1 in 100 defectives when the widths are normally distributed with μ = 0.9000 and σ (revised value)?
Answer:
a) 9.56%
b) 0.0019
Step-by-step explanation:
a) Find the z-scores.
z = (x − μ) / σ
z₁ = (-0.0050) / 0.0030
z₁ = -1.67
z₂ = (0.0050) / 0.0030
z₂ = 1.67
Find the probability using a chart or calculator.
P(Z < -1.67 or Z > 1.67) = 2 P(Z < -1.67)
P(Z < -1.67 or Z > 1.67) = 2 (0.0478)
P(Z < -1.67 or Z > 1.67) = 0.0956
b) Use a chart or calculator to find the z-score.
P(Z < -z or Z > z) = 0.01
P(Z < -z) = 0.005
z = 2.576
Find the standard deviation.
z = (x − μ) / σ
2.576 = (0.0050) / σ
σ = 0.0019
state the domain of the relation ? ( there is more than one?) select all that apply
Answer:
I think it's {3, 6, 12, 18}
Step-by-step explanation:
Domain: all x-values that are to be used (independent values).
Please help me on this question ASAP if you do ill give you brainliest!
Answer:
1. 2/21
2. 7/45
3. 9/26
4. 4/61
5. 3/29
6. 8/61
Step-by-step explanation:
I'll just explain number one, since you can do the same thing to solve all the others.
You start with 10 1/2. You can make this an improper fraction by multiplying 10 and 2, then adding one. This leaves you with 21/2. The reciprocal of a fraction is just the numerator and denominator of the fraction flipped. So, you get 2/21.
Hope this helps!
Four more than a number is negative twenty..
Answer:
The number is negative 16
Step-by-step explanation:
if it is trying to find the number
Solve the system and explain what the answer means Y-5=3x, -2Y+6x=4
Answer:
NO SOLUTION
Step-by-step explanation:
solve for y in : y-5=3x which is then y=3x+5
then substitute y=3x+5 into -2y+6x=4 which is then -10=4
and then lastly since -10=4, it is not true, this is an inconsistency system,
SO NO SOLUTION
American Airlines stock is currently $12.23 per share. How many shares could you buy
with $2000?
—————————
a-2000
b-200
c-163
d-164
Answer:
c
Step-by-step explanation:2000/12.23
I WILL MARK BRIANLyEST
Jose needs to know if the triangle shown is a right triangle. Which equation should he use to help?
Group of answer choices
11 + 5 = 13
Square root of 5 dived by square root of 11= square root of 13
5^2+11^2=13^2
5^3-11^2=13^2
Step-by-step explanation:
5^2+11^2=13^2 is the answer. However, once you add the 25 and 121 together(the squares of 5 and 11), which is 146, you then need to square root the 146 to get C.
Answer:
11² + 5² = 13²Step-by-step explanation:
use the Pythagorean
a² + b² = c²
11² + 5² = 13²
The ratio of the number of Andy's seashells to the number of seashells Ben has is 4:9. Andy has 100 seashells. How many does Ben have?
Answer:
Ben has 225
Step-by-step explanation:
100 ÷ 4 = 25
25 × 9 = 225
