Step-by-step explanation:
P(t) = 12,000 (2)^(-t/15)
9,000 = 12,000 (2)^(-t/15)
0.75 = 2^(-t/15)
ln(0.75) = ln(2^(-t/15))
ln(0.75) = (-t/15) ln(2)
-15 ln(0.75) / ln(2) = t
t = 6.23
The time it would take for Sawyerville's population to decrease to 9000 can be calculated by setting the population function equal to 9000 and solving for 't'. After a series of algebraic transformations, you can isolate 't' and calculate its value with a scientific calculator.
Explanation:To find the amount of time it will take for Sawyerville's population to fall to 9000 people, we can set up the equation: P(t) = 9000. Therefore, we have 9000 = 12,000 - 2-t/15.
To solve this equation, we first need to isolate the exponential term by subtracting 9000 from both sides, getting 3000 = 2-t/15. Then, we take the natural logarithm (ln) of both sides to remove the exponential term, resulting in ln(3000) = -t/15*ln(2). Divide both sides by -ln(2) and multiply them by 15 to find 't'. The final equation is: t = -15*ln(3000)/ln(2).
In this particular problem, you may need the help of a scientific calculator to compute the value of 't'.
Learn more about Exponential Decay here:https://brainly.com/question/2193799
#SPJ2
WILL MARK BRAINLIEST Point A' represents the reflection of point A across the y-axis. Which coordinate pair represents the location of point A before the
transformation?
A.(3.-6)
B.(-3,-6)
C.(3,6)
D.(6,3)
Answer:
its -3 6 i got it worng
Step-by-step explanation:
For what real value of $v$ is $\frac{-21-\sqrt{301}}{10}$ a root of $5x^2+21x+v$?
Answer:
v = 7
is the value for which
x = (-21 - √301)/10
is a solution to the quadratic equation
5x² + 21x + v = 0
Step-by-step explanation:
Given that
x = (-21 - √301)/10 .....................(1)
is a root of the quadratic equation
5x² + 21x + v = 0 ........................(2)
We want to find the value of v foe which the equation is true.
Consider the quadratic formula
x = [-b ± √(b² - 4av)]/2a ..................(3)
Comparing (3) with (2), notice that
b = 21
2a = 10
=> a = 10/2 = 5
and
b² - 4av = 301
=> 21² - 4(5)v = 301
-20v = 301 - 441
-20v = -140
v = -140/(-20)
v = 7
That is a = 5, b = 21, and v = 7
The equation is then
5x² + 21x + 7 = 0
the value of the discriminant x2 + 6x + 9 = 0
Answer:
X=-3
Not sure if you meant finding the ‘x’ but it would be this
Step-by-step explanation:
Multiply the polynomials (x+3)(2x-4)
Step-by-step explanation:
x*2x-x*4+3*2x-3*4=2x²-4x+6x-12=2x²+2x+12=2(x²+x+6)
Algebra problem! PLEASE help me!!!
Helen deposited $1200 at 5% interest compounded continuously. After 6 years, how much did she have?
(A) $1619.83
(B) $1560
(C) $2410.26
(D) $1608.11
(E) none of these
I got (D), but got it wrong. Would (A) be the correct answer?
Answer:
A
Step-by-step explanation:
X = 1200 × e^(5% × t)
X = 1200 × e(0.05×6)
X = 1200 × e^0.3
X = 1619.830569
A watercolor painting is 19 inches long by 11 inches wide. Ramon makes a border around the watercolor painting by making a mat that adds 2 inches to each side of the length and the width. What is the area of the mat?
The total area of mat without painting is 136 square inches.
The original painting is 19 inches long by 11 inches wide. When Ramon adds a 2-inch border to each side of the painting's length and width, the overall dimensions of the mat become:
Length with border: 19 inches + 2 inches + 2 inches = 23 inches
Width with border: 11 inches + 2 inches + 2 inches = 15 inches
To find the area of the mat, one must calculate the area of the border plus the painting and then subtract the area of the painting:
Calculate the area of the full mat with the painting: 23 inches imes 15 inches = 345 square inches.
Calculate the area of the painting alone: 19 inches imes 11 inches = 209 square inches.
Subtract the area of the painting from the full area to get the area of the mat: 345 square inches - 209 square inches = 136 square inches.
What is the height, h, of one of the triangles?
4 ft
8 ft
7 ft
14 ft
Answer:
4 ft
Step-by-step explanation:
the width of two triangles is given as 8 just divide by 2 since answer is asking for only one triangle
Answer:
4
Step-by-step explanation:
Divide 8 by 2.
? ÷ 4 = 9
please help me
Answer:
Your answer would be 36
Step-by-step explanation:
You can figure this out by multiplying B by C to get A or
4 x 9 = 36
Then you can check by going
36 ÷ 4 = 9
9 = 9
This is the right answer
Answer:
36
Step-by-step explanation:
You are solving for ?. Let ? become the variable (x).
x ÷ 4 = 9
Note the equal sign, what you do to one side, you do to the other. Isolate the variable, x. To do so, multiply 4 to both sides:
x ÷ 4 (* 4) = 9 (* 4)
x = 9 * 4
x = 36
36 is your answer.
~
Veronica wants to multiply
23×15\dfrac23\times15
3
2
×15
start fraction, 2, divided by, 3, end fraction, times, 15
. So, she puts
1515
15
15
triangles into
33
3
3
equal-sized groups.
What is
23\dfrac23
3
2
start fraction, 2, divided by, 3, end fraction
of
15? 15?~~
15? will give branlest!
Answer:2737t
Step-by-step explanation:
Answer:
2/3 0f 15 equals 10
Step-by-step explanation:
We see a set of 151515 triangles. The set is split into 333 equal sections, or thirds.Hint #22 / 3To find 2332start fraction, 2, divided by, 3, end fraction of 151515, we can shade 222 thirds. How many triangles are shaded?Three rows of fifteen identical triangles. Lines divide the triangles into 3 groups with 5 triangles each. All 5 triangles in the first group and all 5 triangles in the second group are shaded.1010start color #7854ab, 10, end color #7854ab triangles are shaded.
A color printer prints 35 pages in 11 minutes. How many pages does it print per minute?
Answer:
The answer my friend is 3.1818181818181817
Step-by-step explanation:
My explanation is when you divide 35 and 11 you get 3.18 if you round it to the tenths it would be 0.01. HOPES THIS HELP HAVE A WONDERFUL REST OF YOUR DAY MARK ME BRAINLIEST PLZ.
What shapes can the composite figure be decomposed into? Select two options.
A hexagon.
a rectangle and a triangle
a rectangle and two triangles
a square and two triangles
two rectangles
two trapezoids
The composite figure can be decomposed into:
C. a rectangle and two triangles
F. two trapezoids.
What is a Composite Figure?A composite figure is a figure that is formed by two or more shapes, or a figure that can be decomposed into two or more shapes.
The composite figure in the diagram be be broken down into either two trapezoids or a rectangle and two triangles.
Therefore, the shapes that the composite figure can be decomposed into are:
C. a rectangle and two triangles
F. two trapezoids.
Learn more about a composite figure on:
https://brainly.com/question/391747
#SPJ2
I need help ASAP I’ll mark as brainliest
Answer:
A
Step-by-step explanation:
The equation of a parabola in vertex form is
y = a(x - h)² + k
where (h, k) are the coordinates of the vertex and a is a multiplier
Here (h, k ) = (2, - 1), thus
y = a(x - 2)² - 1
To find a substitute (5, 8) into the equation
8 = a(5 - 2)² - 1
8 = 9a - 1 ( add 1 to both sides )
9 = 9a ( divide both sides by 9 )
a = 1
Thus
y = (x - 2)² - 1 → A
Use the graph to determine the input value for which f(x) = g(x) is true.
x = 0.5
x = 1
x = 1.5
x = 2
Answer: 1.5
Step-by-step explanation:
Answer:
C
Step-by-step explanation:
Can anyone please answer this question !!!
Max wants to paint a wall that measures 2.1 m by 5.2 m. A tin of paint states that it will cover 3.5 m?. If the tin contains exactly 0.5 litres of paint, and all other measurements are correct to 1 d.p., find the maximum volume of paint needed to paint the wall.
Answer: The max volume is 16
Step-by-step explanation: Plz give brainliest
What is the rate of change between the interval of x = pi over 4 and x = pi over two ? (1 point)
Group of answer choices
A negative 8 over pi
B negative pi over 8
C negative 32 over pi
D negative pi over 32
Answer:
The right answer is C
Step-by-step explanation:
There are 14 apples in a basket. 8 of these are green. The rest of them are red. (a) what is the ratio of green apples to red apples? (b) what is the ratio of red apples to all apples in the basket?
6:8 - 6 red apples to 8 green apples. 1:1.33 - 1 red apple for every 1.33 green apples. 43% of the apples are red and 57% of the apples are green.
Final answer:
The ratio of green apples to red apples is 4:3, and the ratio of red apples to all apples in the basket is 3:7 after simplification.
Explanation:
To solve the student's question:
First, we find the ratio of green apples to red apples. There are 14 apples in total, 8 of which are green, so 14 - 8 = 6 red apples. The ratio of green to red apples is therefore 8:6, which can be simplified by dividing both sides by 2, resulting in a simplified ratio of 4:3.
Next, we calculate the ratio of red apples to all apples in the basket. Since there are 6 red apples and 14 apples in total, the ratio is 6:14, which simplifies to 3:7 when both sides are divided by 2.
Therefore, the answer for part (a) is a ratio of 4:3, and for part (b) is a ratio of 3:7.
Question 2(Multiple Choice Worth 3 points) How can the U.S. government control financial institutions? Voting on a new budget Loaning money to state governments Borrowing money from a foreign bank Passing laws for credit card companies to follow I will Give brainlyist
Answer:
Passing laws for credit card companies to follow
Step-by-step explanation:
Government may pass new laws to set up new regulations for the financial institutions
Answer:
They creat laws for credit card companies.
Step-by-step explanation:
A construction crew cuts 4 pieces of plywood. The first piece is 3/4 ft long. 1. The second piece is 2 1/2 times as long as the first piece. How long is it? 2. The third piece is 1 1/3 as long as the second piece. How long is it? 3. The fourth piece is half as long as the third piece. How long is it?
Answer:
5
Step-by-step explanation:
Clarence made a scale drawing of a classroom. The scale in the drawing is 2 inches represents
9 feet. The actual length of the classroom is 36 feet. What is the length of the classroom on the
scale drawing?
A4 inches
B 8 inches
OC 27 inches
OD 162 inches
Answer:
The answer is B
Step-by-step explanation: The reason for this is you know that 2 in = 9ft so you multiply 9 to get 36/ the height of the classroom. The times you multiply is by equal to it by you multiply by 2 because 2= 9ft not 1=9ft so you take 4 and multiply by 2 and you get 8.
Answer:
B) 8 inches
Step-by-step explanation:
Since the scale of the drawing is 2:9, we will then make this into two fractions that equal each other to make this easier. To do this we will make the ratio 2:9 into a fraction being 2/9. Then we will make the missing value which is the length of the calssroom on the scale drawing over the actual length of the classroom which is 36. We will then make the fractions equal each other. 2/9 = x/36. We can either cross multiply ( 2 x 36 and 9 * x) or we can make the denominators the same. I am going to make the denominators the same. The equation will then look like this: 8/36=x/36. Now we know the value of x is 8. This makes the answer B) 8 inches.
The probability that teddy wins a certain game of chance is 1/4.If teddy plays the game 120 times how many times can he expect to win the game
Answer:
30
Step-by-step explanation:
1/4 of 120 is 30
therefore he can expect to win the game 30 times
Consider the reflection of parallelogram PQRS across
the line of reflection,
If RR' = 14, then RZ = 7
If SX = 5, theny = 5.
Answer:
7
XS
Step-by-step explanation:
100% on edge
The reflection of parallelogram PQRS across the line of reflection is 7 XS.
Parallelogram:A simple (non-self-intersecting) quadrilateral with two sets of parallel sides is known as a parallelogram in Euclidean geometry. A parallelogram's facing or opposing sides are of equal length, and its opposing angles are of similar size. The Euclidean parallel postulate or one of its equivalent formulations must be used in order to demonstrate the congruence of opposed sides and opposite angles because both conditions are a direct result of this postulate.In contrast, a quadrilateral with only one set of parallel sides is referred to as a trapezoid or trapezium in British or American English.The parallelepiped is a parallelogram's three-dimensional equivalent.
Therefore, the correct answer to the question is 7 XS.
Know more about parallelograms here:
https://brainly.com/question/970600
#SPJ2
PLEASE PLEASE HELP the question is below
Answer:
D. 66/2
Step-by-step explanation:
If you are trying to figure out what operation to perform first, then follow PEMDAS.
P: Parenthesis
E: Exponents
M: Multiplication
D: Division
A: Addition
S: Subtraction
So first we start with what is in parenthesis. Since there are two operations within the parenthesis, we start with the division first since it comes first in PEMDAS. This is why D. 66/2 is our best answer.
A father who is 42 years old has a son and a daughter. The daughter is three times as old as the son. In 10 years, the sum of all their ages will be 100 years. How old are the two siblings at present?
Answer:
son is 7 daughter is 21
Step-by-step explanation:
What is the center of the circle given by the
equation (x + 17)2 + (y − 4)2 = 23?
A. (−4, 17)
B. (−17, 4)
C. (17, −4)
D. (4, −17)
Answer:
B. (−17, 4)
Step-by-step explanation:
We can write the equation of a circle in the form
(x-h)^2 + (y-k)^2 = r^2 where (h,k) is the center and r is the radius
(x + 17)^2 + (y − 4)^2 = 23
(x - -17)^2 + (y − 4)^2 = ( sqrt (23))^2
The center is (-17,4) and the radius is (sqrt(23)
A student has a container with a volume of 2.5 liters. She estimates the volume to be 2.8 liters. By
what percent is the student's estimate off?
Answer:
12 percent
Step-by-step explanation:
2.5 ÷ 100 = 0.025
2.8 - 2.5 = 0.3
0.3 ÷ 0.025 = 12
The percent change is 12%.
What is Percent Change?When you want to analyse how a value has evolved over time, percentage increase is helpful. Although percentage increase and absolute increase are fairly comparable, the former is more helpful when contrasting different data sets.
Given:
A student has a container with a volume of 2.5 liters.
She estimates the volume to be 2.8 liters.
Change in Amount
= 2.8-2.5
= 0.3
So, percent increase
= 0.3 / 2.5 x 100
= 0.12 x 100
= 12%
Hence, the percent change is 12%.
Learn more about Percent increase here:
https://brainly.com/question/13533684
#SPJ5
Convert:
61⁄2 feet = how many inches
Answer: 78 inches
Step-by-step explanation: looked it up on google
Answer:
78 inches
explanation:
Because one foot equals 12 inches
v-3/-10= -4 please answer step by step
Answer:
5
-by-step explanation:
Please answer this! Will award Brainliest!
Answer:
2^20/3^8
Step-by-step explanation:
Joel is listening to his playlist. Joel selects random play from the user playlist. Joel's has 2 Cardi B songs, 13 Eminem songs, and 5 Beyonce songs on it. What is P (Cardi B or Beyonce)? (Use a fraction, decimal[out only 3 spaces], or percent) *
uh
probably beyonce cuz there more songs on the playlist. what kinda quiz is this
Answer:
uh
probably beyonce cuz there more songs on the playlist. what kinda quiz is this
Step-by-step explanation:
If a car used 250.000 W of power to complete a race in 12 s. how much work did the car do?
Answer:
300000
Step-by-step explanation:
Answer: 3,000,000
Step-by-step explanation: