9514 1404 393
Answer:
D. 16.8 years
Step-by-step explanation:
The multiplier each year is 1-3% = 0.97, so the multiplier after x years is 0.97^x. You want to know the value of x when that multiplier is 60%, or 0.60.
0.97^x = 0.60
x·log(0.97) = log(0.60) . . . . . . take logarithms
x = log(0.60)/log(0.97) ≈ 16.8
At the given rate, it will be 16.8 years before 60% of the species remains.
Write as a product
(a+1)^3+x^3
Answer:
Variables
Any lowercase letter may be used as a variable.
Exponents
Exponents are supported on variables using the ^ (caret) symbol. For example, to express x2, enter x^2. Note: exponents must be positive integers, no negatives, decimals, or variables. Exponents may not currently be placed on numbers, brackets, or parentheses.
Parentheses and Brackets
Parentheses ( ) and brackets [ ] may be used to group terms as in a standard equation or expression.
Multiplication, Addition, and Subtraction
For addition and subtraction, use the standard + and - symbols respectively. For multiplication, use the * symbol. A * symbol is not necessary when multiplying a number by a variable. For instance: 2 * x can also be entered as 2x. Similarly, 2 * (x + 5) can also be entered as 2(x + 5); 2x * (5) can be entered as 2x(5). The * is also optional when multiplying with parentheses, example: (x + 1)(x - 1).
Order of Operations
The calculator follows the standard order of operations taught by most algebra books - Parentheses, Exponents, Multiplication and Division, Addition and Subtraction. The only exception is that division is not currently supported; attempts to use the / symbol will result in an error.
Division, Square Root, Radicals, Fractions
The above features are not supported.
Step-by-step explanation:
Use the commutative or associative property to simplify the expression.
1/3(3y)
Answer:
y
Step-by-step explanation:
Associative property is when we change the order of the bracket / can solve any order
So 1/3(3y)
= (1/3x 3)y
= 3/3y
= 1y or simply y
The table shows the proportional relationship between the time in hours (h) Sara babysits and the amount in dollars (a) Sara earns babysitting.
h a
2 8
3 12
4 16
5 20
The equation a = 5h shows the relationship between the amount in dollars (a) Abbey earns babysitting and the time in hours (h) Abbey babysits.
Which statement correctly identifies who earns more and how much more she earns?
A
Sara earns $1 more per hour than Abbey.
B
Sara earns $4 more per hour than Abbey.
C
Abbey earns $1 more per hour than Sara.
D
Abbey earns $5 more per hour than Sara.
Answer:
C
Step-by-step explanation:
The table shows that Sara earns 4 dollars per hour. The equation shows that Abbey earns 5 dollars per hour.
I hope that helps. If there are any questions left, just comment:)
Please mark me brainliest (it gets you 10 points back btw)
What is the range of the function y=*/x+8?
-00
-8
osy<00
2 sy<00
Answer:
D.
Step-by-step explanation:
(-∞, ∞) is the range of the function y = f(x) = x/2 + 8.
What is a function?A relation is a function if it has only One y-value for each x-value.
The function y = f(x) = x/2 + 8 is a linear function with slope 1/2 and y-intercept 8.
As x varies from negative infinity to positive infinity, the value of f(x) also varies from negative infinity to positive infinity.
Therefore, the range of the function is all real numbers, that is:
y ∈ (-∞, ∞)
In interval notation, this can be written as (-∞, ∞)
Hence, (-∞, ∞) is the range of the function y = f(x) = x/2 + 8.
To learn more on Functions click:
https://brainly.com/question/21145944
#SPJ7
Which of the following was a key cause of World War II?
O A. The establishment of alliances between Japan, Russia, and Great
Britain
O B. The dangerous and aggressive expansion of totalitarian nations
O C. The Soviet Union's efforts to spread communism around the world
D. The assassination of Archduke Franz Ferdinand by Serbian
nationalists
SUBMIT
Answer:
c. the dangerous and aggressive expansion of totalitarian nation
Step-by-step explanation:
FInd the legth of side AB. Give your answer to 1 decimal place
Answer:
Hey love, be sure to add a photo! i will edit my answer once you do so :D
which linear inequality is represented by the graph?
Answer:
y ≥ [tex]\frac{1}{3}[/tex]x - 1
Step-by-step explanation:
First, determine the slope of the line. We can see that the slope is [tex]\frac{1}{3}[/tex], because the slope has less than 1 y interval per every x interval. This means that the line is less steep. There are only 2 slope choices, [tex]\frac{1}{3}[/tex], -[tex]\frac{1}{3}\\[/tex], and 3. We can tell that the slope is positive, but it must be [tex]\frac{1}{3}\\[/tex] because it is clearly less steep than a 3 slope line.
Now, look at the portion that is shaded. It is above the line, and this means that y is greater than the equation given. We can tell it is greater than or equal to, because the line that represents the equation is shaded as well. If it was only greater than and not equal to, the line would not be shaded.
Hope this helps ! :) Please feel free to ask me any questions!
Which shape has only acute angles?
Answer:
Triangle
Step-by-step explanation:
Pls mark as brainliest
Answer:
triangle
Step-by-step explanation:
The rectangle and arrow both have right angles, so they are crossed out. The pentagon has obtuse angles, so it is also not the answer
Oscar walked at the same rate for 10.5 miles. He
completed his walk in 3 hours. What was Oscar's
rate, in miles per hour, during his walk?
Answer:
Oscar walked at the same rate for distance D = 10.5 miles.
He completed his walk in time T = 3 hours.
=>Oscar's rate, in miles per hour, during his walk:
R = D/T = 10.5/3 = 3.5 (mile/hour)
Hope this helps!
:)
you and six friends go to a movie. the tickets cost $7.50 each. you each buy a drink for $2.00 and a box of popcorn for $3.75. write an expression that represents the total amount of money spent. then evaluate the expression.
Evaluate t - u/v when t = -1, u = -3, and v = 1/2.
P.S. it’s not multiple choice.
Answer:
5
Step-by-step explanation:
A reindeer runs
20 1/4 miles in 3 hours. At that rate, how many miles does it run in 1 hour?
-must haves...
right answer.
makes sense.
step by step.
^can you guys please help me make sure I got my answer right, thank youu;)
(choices of the answers: 3 1/4; 6 3/4; 12 1/4; 60 3/4)
Answer:
6 3/4 miles
Step-by-step explanation:
We can use ratios to solve
20.25 miles x miles
------------------ = ------------
3 hours 1 hours
Using cross products
20.25 * 1 = 3x
Divide each side by 3
20.25 /3 = x
6.75 = x
Changing to a fraction
6 3/4
ignore circled one and work it out please
Answer:
a. [tex]\frac{(x-7)}{x^2+x-30}[/tex]
Step-by-step explanation:
[tex]\huge \frac{x^2-3x-28}{(x^2+10x+24)(x-5)} \\\\\huge {=\frac{x^2-7x+4x-28}{(x^2+6x+4x+24)(x-5)}}\\\\\huge {=\frac{x(x-7)+4(x-7)}{\{x(x+6)+4(x+6)\}(x-5)}}\\\\\huge {=\frac{(x-7)(x+4)}{(x+6)(x+4)(x-5)}}\\\\\huge {=\frac{(x-7)}{(x+6)(x-5)}}\\\\\huge {=\frac{(x-7)}{x^2+(6-5)x+6(-5)}}\\\\\huge {=\frac{(x-7)}{x^2+x-30}}[/tex]
The ratio of boys to girls at Jackie Chan high school is 5:3. If there are a total of 250 boys in the school how many girls are in the school?
Answer:
150
Step-by-step explanation:
As the ratio is 5:3 ,
Number of boys / number of girls = 5 / 3
250 / number of girls = 5 / 3
Number of girls = 250 × 3/5
Number of girls = 150
Which table has a constant of proportionality between y and x of 4?
Answer:
Answer A
Step-by-step explanation:
16 / 4 = 4
36 / 9 = 4
64 / 16 = 4
Note that the symbol / is the equivalent of the division sign in math.
Answer:
A <3
Step-by-step explanation:
There are twelve inches in one foot, creating the equation y = 12x. If a door
frame is 6.5 feet tall, how many inches tall is it?
Answer:
78 inches.
Step-by-step explanation:
By definition, a foot is equal to 12 inches. That is modeled by the equation you wrote, y = 12x, where x is the amount of feet.
Substitute 6.5 for x. y = 12*6.5 = 78 inches.
I hope this helps!
8. If Rocky Massimo's credit card has a $1,329.64 balance and he charged $528.44 in new purchases, what is the new
balance?
A $1,972.32
B $1,867.45
C$896.45
D$1,858.08
NEED ANSWERS
Answer:
D: $1,858.08
Step-by-step explanation:
if u add $1,329.64 and $528.44 then you get $1,858.08
What is the value of x in the diagram?
Answer:
5
Step-by-step explanation:
Given is a right angled triangle.
Therefore, by Pythagoras theorem:
[tex] {(2x + 3)}^{2} = {x}^{2} + {(2x + 2)}^{2} \\ 4 {x}^{2} + 9 + 12x = {x}^{2} + 4 {x}^{2} + 4 + 8x \\ 9 + 12x = {x}^{2} + 4 + 8x \\ {x}^{2} + 4 + 8x - 12x - 9 = 0 \\ {x}^{2} - 4x - 5 = 0 \\ ({x}^{2} - 4x + 4 )- 4 - 5 = 0 \\ {(x - 2)}^{2} - 9 = 0 \\ {( x - 2)}^{2} = 9 \\ x - 2 = \pm \: \sqrt{9} \\ x - 2 = \pm 3 \\ x = 2 \pm 3 \\ x = 2 + 3 \: \: or \: \: x = 2 - 3 \\ x = 5 \: \: or \: \: x = - 1 \\ \because \: x \: can \: not \: be \: negative \\ \therefore \: x \neq \: - 1 \\ \therefore \: x = 5[/tex]
Lina owns 300 shares of General Motors Company. She receives annual dividends of $0.54 per share. How much will she received in dividend payments? *
Answer:
The total payment is $162.00
Step-by-step explanation:
Take the number of shares time the amount per share
300 * .54
162
The total payment is $162.00
Which equation represents the data in this function table?
OA) y = x + 2
OB) x = y + 2
OC) y = 2x
OD) x = 2y
Answer:
c
Step-by-step explanation:
its not too complicated, look
to get from 2 to 5 u gotta multiply by 2
so C is saying that Y equals 2 times X which would be: 4 equals 2 times 2
Or 12 equals 2 times 6
Answer:
C
Step-by-step explanation:
Rise over run is [tex]\frac{12-4}{6-2} = \frac{8}{4}=2[/tex]
so y=2x
which solid does the net form? picture below
A hexagonal prism
B hexagonal pyramid
C rectangular prism
D rectangular pyramid
Answer:
B
Step-by-step explanation:
hexagonal pyramid
6 SIDES,
A PYRAMID
Plzzzz help
Plzz help
Answer: It starts at 2.5, and ends at 8.5.
Step-by-step explanation:
Answer:
range = 6
Step-by-step explanation:
The range = maximum value - minimum value
maximum value = 8.5 and minimum value = 2.5 ( indicated by the dots )
range = 8.5 - 2.5 = 6
What is the equation of the parabola with focus (-2, 2) and directrix y = -1?
Answer:
(x+2)^2=6(y-1/2)
Step-by-step explanation:
You are given the function h(t)=t2+2t+1. Find h(−2). h (-2)=
Answer:
h(-2) = 1
Step-by-step explanation:
h(t)=t^2+2t+1
h(-2) = (-2)^2 +2(-2) +1
= 4 -4 +1
= 1
Answer:
-12
Step-by-step explanation:
Amber's mean mark on five tests is 80.
Her marks on four of these tests are 68, 81, 74 and 89.
Work out her mark on the fifth test.
Answer:
The answer is 88.
Step-by-step explanation:
68+81+74+89+x/5=80
312+x/5=80
312+x=80*5
312+x=400
x=400-312
x=88
Answer:
88
Step-by-step explanation:
The mean is the total sum of all the marks divided by how many there are.
68+81+74+89=312 Total of 4 tests
80×5 = 400 Total marks on 5 tests
400-312 = 88 Total marks on 5 tests - Total marks on 4 tests = 1 test
68+81+74+89+88 = 400
I need help with this math problem.
Answer:
(45,60)
Step-by-step explanation:
in a parallelogram, opposite angles are equal measure
2x-10 = y + 20
angles that lie on the same line add up to 180, since alternate angles of parallel lines and a transversal are equivalent
2x + 10 + 2x - 10 = 180
solving the equation with only Xs
4x = 180
x = 180/4 = 45
plug x = 45 into x and y equation
90-10 = y+ 20
80 = y + 20
y = 80-20 = 60
How do I work out this question (explanation and answer please)
Answer: Each friend will pay £3.75
Step-by-step explanation:
4 friends pay £15, 12 will pay
12/4 x 15 = £45
Each will pay 45/12 = £3.75
Trayvonn had 60 followers on instagram last week. now he has 12. what is the percent change?
Answer:
20%
Step-by-step
60/x%=12
12 is 1/5 of 60
1/5=20%
A tree harvester estimates the trunk of a tree to have a height of about 34 meters and a base diameter of about 0.52 meters. The wood of the tree has a density of about 770 kilograms per cubic meter. Find the mass of the trunk. Round your answer to the nearest hundred.
Answer: 5,559.89 kilograms
Step-by-step explanation:
Hi, to answer this question we have to apply the next formula:
Mass = π/4 (diameter) ^2 (height) (density)
Replacing with the values given and solving for M (mass)
M = π/4 (0.52) ^2 (34) (770) = 5,559.89 kg.
The mass of the trunk is 5,559.89 kilograms
Feel free to ask for more if needed or if you did not understand something.
Which is the graph of the function f(x) = x3 – x2 – 17x - 15?
Answer with Step-by-step explanation:
We are given that a function
[tex]f(x)=x^3-x^2-17x-15[/tex]
We have to find the graph of the given function.
y-intercept:It is that value of y where the graph cut the y- axis.
Let
[tex]y=f(x)=x^3-x^2-17x-15[/tex]
Substitute x=0
Then, we get
[tex]f(0)=-15[/tex]
y-intercept of the graph=-15
x- intercept: It is that value of x where the graph cut the x- axis.
Substitute y=0
[tex]x^3-x^2-17x-15=0[/tex]
Substitute x=-1
[tex]-1-1+17-15=0[/tex]
Therefore,x=-1 is a solution of given equation.
[tex](x+1)(x^2-2x-15)=0[/tex]
[tex](x+1)(x^2-5x+3x-15)=0[/tex]
[tex](x+1)(x(x-5)+3(x-5))=0[/tex]
[tex](x+1)(x+3)(x-5)=0[/tex]
[tex]\implies x=-1,-3,5[/tex]
Hence, the x-intercept are
-3,-1 and 5
Answer:b on edg 2020
Step-by-step explanation: