Complete question :
A lake near the Arctic Circle is covered by a 3 meter thick sheet of ice during the cold winter months. When spring arrives, the warm air gradually melts the ice, causing its thickness to decrease at a constant rate. After four weeks, she is only 1.6 m thick. Let S(t) denote the ice sheet's thickness S (measured in meters) as a function of time t (measured in weeks). Write the function's formula
Answer:
S(t) = 3 - 0.3t
Step-by-step explanation:
Given that:
Initial thickness = 3m
Assume the rate of decrease is constant
Thickness after 4 weeks = 1.6 m
To obtain a function for the scenario described above :
We can observe that the function is a linear function, given that rate of decrease per week is constant :
To obtain the rate of decrease :
Change after 4 weeks :
(Initial thickness - thickness after 4 weeks) / number of weeks
(3m - 1.6m) / 4
= 1.2m / 4
= 0.3 m per week
General form of a linear function :
y = mx + c
m = rate of change per unit
Hence, our function becomes ;
S(t) = 3 - 0.3t
Kevin is 4 years older than 3 times old as Jasper. If J represents Jasper's age, which expression represents Kevin's age?
A. 3j - 4
B. 4 + 3j
C. 4(3j)
D. 3j/ 4
Answer:
B
Step-by-step explanation: By breaking down the question, you can see that Jasper (j) is 3 times as old as Kevin, which means you need to multiply jasper's age by 3. The question also says that Kevin is 4 years older than whatever 3 times Jasper's age is, meaning you need to add 4 years into the question. The only answer that involves multiplying by 3 and adding by 4 is B.
Answer:
fewftwfgw
Step-by-step explanation:
wef
I really need help I have 45 missing assignments and I need to get then all done and it would help if someone would help
Answer: yes, she can
Step-by-step explanation:
10:13 (ratio) = 0.769
3 (pounds) x 0.769 (ratio) = 2.307 (dollars)
5 (hours) x 2.307 (dollars) = 11.35
Expand.
Your answer should be a polynomial in standard form.
(2z - 1)(z^2 – 2z+ 1) =
PLS HELP
Answer:
2z^3 - 5z^2 + 4z - 1
Step-by-step explanation:
(2z - 1)(z^2 – 2z+ 1) =
= 2z^3 - 4z^2 + 2z - z^2 + 2z - 1
= 2z^3 - 5z^2 + 4z - 1
The polynomial in standard form will be 2z³ – 5z² + 4z – 1.
What is polynomial?A polynomial expression is an algebraic expression with variables and coefficients.
The polynomial is given below.
⇒ (2z – 1)(z² – 2z+ 1)
Then the polynomial in standard form will be
⇒ (2z – 1)(z² – 2z + 1)
⇒ 2z(z² – 2z + 1) – 1(z² – 2z + 1)
⇒ 2z³ – 4z² + 2z – z² + 2z – 1
⇒ 2z³ – 5z² + 4z – 1
More about the polynomial link is given below.
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Can someone pleaseeee help if you’re correct I’ll give u brainlist
Answer:
rectangle and parallellagram i believe
Step-by-step explanation:
I've done this before but I don't remember the IXL
Answer:
rectangle and square I believe
this might be the wrong answer^
good luck :)
25POINTS!!
Figure ABCD is transformed to figure A prime B prime C prime D prime, as shown below:
A coordinate grid is shown from negative 5 to 0 to 5 on both x -and y-axes. A polygon ABCD has A at ordered pair 1, 3, B at ordered pair 3, 4, C at ordered pair 2, 1, D at ordered pair 1, 1. A polygon A prime B prime C prime D prime has A prime at ordered pair negative 3, 3, B prime at ordered pair negative 5, 4, C prime at ordered pair negative 4, 1, D prime at ordered pair negative 3, 1.
Which of the following sequences of transformations is used to obtain figure A prime B prime C prime D prime from figure ABCD?
Reflection over the x-axis followed by a translation to the right by 2 units
Reflection over the y-axis followed by a translation to the left by 2 units
Counterclockwise rotation by 90 degrees about the origin followed by a translation to the right by 2 units
Counterclockwise rotation by 90 degrees about the origin followed by a translation to the left by 2 units
Answer: B.
Step-by-step explanation:
Answer:
The answer is B: Reflection over the y-axis followed by a translation to the left by 2 units
Step-by-step explanation:
I had this on a test one time and I got 100%
Ewan has 48 white tiles and 16 blue tiles. The cost of each white tile is £2.
The cost of each blue tile is £4.
Work out the ratio of total cost of white tiles to the total cost of the blue tiles.
How many DVDs. A small independent movie company determines the profit P for producing n DVD copies of a recent release is P = −0.02n2 + 3.40n − 16. P is the profit in thousands of dollars and n is in thousands of units.
a. How many DVDs should the company produce to maximize the profit?
should the company produce to maximize the profit?
Answer:
128.5 thousand dollars
Step-by-step explanation:
The number of DVDs the company can sell to maximize the profit is 85
What is differentiation?
In mathematics, differentiation is the process of determining the derivative, or rate of change, of a function. Differentiation is a technique for determining a function's derivative. Differentiation is a mathematical procedure that determines the instantaneous rate of change of a function based on one of its variables. The process of finding the derivative of dependent variable in an implicit function by differentiating each term separately
Given data ,
Let the profit P for producing n DVD copies be P ( n )
where P ( n ) = −0.02n² + 3.40n − 16
Now , to find the maximum number of DVDs to produce in order to maximize the profit is calculated by finding the derivative of P ( n ) with respect to n
And , dP (n) / dn = 0
So , the equation will be
P ( n ) = −0.02n² + 3.40n − 16
dP (n) / dn = -0.04n + 3.4
When dP (n) / dn = 0 , we can find the value for n
So ,
-0.04n + 3.4 = 0
Adding 0.04n on both sides , we get
0.04n = 3.4
Divide by 0.04 on both sides , we get
n = 85
Hence , The number of DVDs the company can sell to maximize the profit is 85
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An equilateral triangle has side length of 10 inches. What is the area of the triangle in simplest radical form
Answer:
43.3in²
Step-by-step explanation:
The area of the equilateral triangle in the simplest radical form is 43.3 (inches)².
What is a Triangle?A simple polygon having 3 sides and three interior angles make up triangles. One of the fundamental geometric forms, it is represented by the symbol and comprises three connected vertices. Triangles can be categorized into the number of different varieties according to their sides and angles.
According to the information provided in the question,
Side of the equilateral triangle, a = 10 inches.
Area, a = (√3)/4 × a²
a = (√3)/4 × 10²
a = 43.3 (inches)²
Therefore, the area is 43.3 (inches)².
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The equation that represents the canned goods order is 24x + 64y = 384.
x = number of minutes for fruit cans
y = number of minutes for vegetable cans
Explain how to calculate the x- and y-intercepts.
Step-by-step explanation:
let me explain in easy way
24x+64y=384 take x=0
24×0+64y=384
0+64y=384
64y=384
y=384 divided by 64
y=6
we got the y intercept
now lets do for x
24x+64y=384 take y=0
24x+64×0=384
24x+0=384
24x+0=384
24x=384
x=384 divided by 24
x=16 we got x intercept also
hope this helps
Answer:
Sample Answer: Substitute 0 for the x-value in the equation and solve for y. The result is y = 6, so the y-intercept is at (0, 6). Next, substitute 0 for the y-value in the equation and solve for x. The result is x = 16, so the x-intercept is at (16, 0).
Step-by-step explanation:
trust
6th grade math !!!!!!!!!!!
Answer:
68 degrees fahrenheit
Step-by-step explanation:
Answer:
68 degrees Fahrenheit
Step-by-step explanation:
I hope this helps you out with your question! Can you plz consider marking me brainliest and thanks! Plz tell me how the answer was! It feel nice to be appreciated! Comment /free for a giveaway entry of 20 thanks and 2 brainliest. Have an awesome day! Let me know if you have any questions! -KaraYeaton18
3. 1 + sec2x sin2x = sec2x
Answer:
Answer is on pic
Step-by-step explanation:
I hope it's helpful!
Mohamed decided to track the number of leaves on the tree in his back yard each year. This year there were 500 leaves. Each year after the number of leaves was 40% more than the year before. Let f(n) be the number of leaves on the tree in mohameds back yard in the nth year since he started tracking it. F is a sequence was kind of sequence is it?
Answer:
Geometric sequence
Step-by-step explanation:
According to the scenario, computation of the given data are as follows:
Leaves on tree this year (a) = 500
Rate of increase in leaves per year (r) = 40 % or 0.4
Let n be the number of years.
So we use exponential growth formula, i.e.
f(n) = a(1+r)^n
by putting the value, we get
f(n) = 500 ( 1+0.4)^n
or f(n) = 500 (1.4)^n
So, the common ration is 1.4.
Thus, it shows a geometric sequence.
2a if a = 3 how do I get the answer
2a = 2 * a
a = 3
Plug in 3.
(2)*(3)
= 6
5x + 3x = 48
x =
Can someone help
Answer:
x=6
Step-by-step explanation:
8x=48
x= 48÷8
x=6
What is an equivalent expression for 5x + 15
We can write an equivalent expression by factoring this polynomial.
Since the GCF for these terms is 5, we can factor out a 5.
That leaves us with each term divided by 5 inside the parenthses.
So we have 5(x + 3).
Step-by-step explanation:
5x + 15= 15 + 5xFactor out the Greatest Common Factor ( GCF) , '5'5( 3 + x)Final result :5( 3 + x)GIVING BRAINLEIST PLEASE HURRY
Answer:
A
Step-by-step explanation:
-80 and -120 are easy to add
5 star, thank, and brainliest if helpful!
Sarah spent $10.85 on groceries at the
grocery store. If Sarah and Nichole spent
50. 56 in all for groceries, how much did
Nichole spend for groceries. Create and
solve an equation to figure out how much
Nichole spent.
What is the best name to describe an object that has four right angles, the opposite sides are parallel, and it has four equal sides? A trapezoid. B rectangle. C rhombus. D square.
Answer:
D-Square
Step-by-step explanation:
That describes a square, so the answer a square.
Answer:
D
Step-by-step explanation:
Determine the slope of the line that
contains the given points:
(-8, 12 ) and (-8, 7).
Answer:
0
Step-by-step explanation:
Answer:
undefined
Step-by-step explanation:
The for9-8mula for slope is [ y2-y1/x2-x1 ].
7-12/-8-(-8)
-5/0
Since the denominator is 0, the slope is undefined.
Best of Luck!
A full one- gallon container can be
used to fill the one-liter containers, as shown
below. Write a unit rate that estimates the
number of liters per gallons.
Answer:
3.78541
Step-by-step explanation:
but if not technical it is 4
PLZ HELP 55 POINTS!!!
The box below shows the first two of four steps for identifying equivalent expressions. • Simplify each expression. • Substitute a number for each variable. • • Which shows the last two steps in the directions? • Compare the resulting expressions. • If they have identical terms, the expressions are equivalent. • Compute the value of each expression. • Compare the values. If they are equal, the expressions are equivalent. • Decide if there are like terms in each expression. • Compare the like terms to simplify each expression. • Compare each expression, looking for like terms between them. • If each term matches one in the other expression, they are equivalent.
Answer:
Compute the value of each expression.
Compare the values If they are equal the expressions are equivalent.
Step-by-step explanation:
Find the difference
Answer: 3/5
Step-by-step explanation:
1 2/5 = 7/5
7/5 - 4/5 = 3/5
Answer: 3/5
Step-by-step explanation:Change 1 2/5 to improper fraction which is 7/5 .THen subtract 7/5 from 4/5 which gives you 3/5.
What is the slope of the line that passes through the points (1, 1) and (9, 7)?
Answer:
Its A. Just had this question
Step-by-step explanation:
Answer:
3/4
Step-by-step explanation:
What is the circumference of a tire with a diameter of 12 inches? *
Answer:
approximately 38 inches
Step-by-step explanation:
To find the circumference of a circle, you will use the formula C=2⋅π⋅r ; therefore the circumference C is 2⋅π⋅6≈38 inches
Simplify: (8^2)^3
please help:)
Answer:
262144
Step-by-step explanation:
its exponents
Need help with this question quick. Pre calculus question
Answer: -56/65
sin α = 4/5 => cos α = 3/5 (because 0 < α < pi/2)
cos β = -12/13 ⇒ sin β = 5/13 (because pi/2 < β < pi)
we have:
cos(α + β) = cosα.cosβ - sinα.sinβ = [tex]\frac{3}{5}.\frac{-12}{13}-\frac{4}{5}.\frac{5}{13}=\frac{-56}{65}[/tex]
Step-by-step explanation:
The cost c of the membership of a club is $30 for sign up and $15 per week w to be a member.
Answer:
15x + 30
Step-by-step explanation:
Let x represent the number of weeks someone is a member. 30 is constant because it never changes.
Answer:
30+15w=c
Step-by-step explanation:
(c=total cost)
(w=variable to represent number of weeks)
What is the solution to the following inequality?
w + 6
<5
Answer:
Step-by-step explanation:
w<4
I WILL MARI YOU BRAINLEST PLEASE HELP
A. Which
gum
is the better deal at
each store? Which store has the
best deal overall?
Store 1
Orbit - 14 pieces for $1.29
Wrigley - 15 pieces for $1.19
Store 2
Orbit -81 pieces for $7.81
Wrigley - 5 pieces for $0.55
Store 3
Icebreakers - 10 pieces for $3.98
Store brand - 100 pieces for $9.98
Answer:
Wrigley Gum at Store 1 (since it has the lowest unit price)
Step-by-step explanation:
To find the best deal, you solve for unit price. The price for each item (total price / total units)
Store 1
1.29/14=$0.092
1.19/15=$0.079
Store 2
7.81/81=$0.096
0.55/5=$0.11
Store 3
3.98/10=$0.398
9.98/100=$0.0998
Can someone please help me thank you
Answer:i think that the answer is 3
Step-by-step explanation:
Answer:
wouldn't it be 0 to 5 seconds it has the biggest change
