Answer:
The statement that describes a situation that can be modeled as a growth or decay over equal interval is;
C. A species of fly doubles its population every month during the summer
Step-by-step explanation:
We have for exponential growth or decay, the following equation;
Exponential growth or decay;
[tex]y = a \cdot b^t[/tex]
Where;
a = The initial amount of the item
1 + r = The rate of growth in percentage
b = The growth or decay factor
t = The time
For exponential decay, we have;
0 < b < 1
b = 1 - r
[tex]y = a \cdot(1 - r)^t[/tex]
For exponential growth, we have;
b > 1
b = 1 + r
[tex]y = a \cdot(1 + r)^t[/tex]
Therefore, given that the number of the fly population doubles every month, we have the growth rate, r as 100%, which is written as 100/100 = 1, to give;
[tex]y = a \cdot(1 + 1)^t = a \cdot(2)^t[/tex]
Which is expressed as an exponential growth by an equal factor of, r, over equal intervals of, t, time.
Can someone answer all these for me please
Find the root
X^3-125=0
[tex] \huge {\sf {{x}^{3} - 125 = 0}} [/tex]
To Find:The root of the equation.
Solution:By adding 125 to both the sides, we get
[tex] \huge {\sf { {x}^{3} = 125}} [/tex]
Take cube to the RHS (Right Hand Side), we get
[tex] \huge {\sf { x = 5}}[/tex]
Answer: x = 5The solution to the expression is x = 5.
We have,
Expression:
x³ - 125 = 0
This can be written as,
x³ = 125
Now,
Cube of 5:
5³ = 5 x 5 x 5 = 125
Now,
x³ = 5³
Cube cancels out on both sides.
x = 5
Thus,
The solution to the expression is x = 5.
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In expanded form, log(1,000a^3/b) is equivalent to...
Answer:
Option (4)
Step-by-step explanation:
Given expression is,
[tex]\text{log}(\frac{1000a^3}{b})[/tex]
To solve this expression we will use the logarithmic properties.
[tex]\text{log}(\frac{1000a^3}{b})=\text{log}1000a^3-\text{log}(b)[/tex] [Since, [tex]\text{log}\frac{p}{q}=\text{log}p-\text{log}q[/tex]]
= log(1000) + log(a³) - log(b) [Since, log(pq) = log(p) + log(q)]
= 3 + 3log(a) - log(b)
= 3[1 + log(a)] - log(b)
Therefore, Option (4) will be the correct option.
A 24 foot long tree casts a shadow that is 9 feet long at the same time a nearby building casts a shadow of 45 feet long how tall is the building
Answer:
i think the answer you're looking for is 60
Step-by-step explanation:
24-9=15
45+15=60
A building casts a shadow 47 feet long. At the same time, a 38‐foot‐tall flagpole casts a shadow 9.4 feet long. What is the height of the building?
210 feet To answer this question you need to know the ratio of shadow with the actual object. In this case, 42 feet flagpole cast 9.4 feet shadow. Then the ratio is:
42feet/9.4 feet= 4.468
That means the actual height is 4.468 times of shadow length. After that, you can multiply the ratio with the shadow to know the object actual size. It would be: 47 feet x 4.468= 210 feet.
Algebra KPL and LJPL are a linear pair, m_ KPL = 2x + 24, and mLJPL = 4x + 36. What are the measures of ZKPL and LJPL? (2x + 24) (4x + 36) к P
Answer:
64° = ∠KPL116° = ∠JPLStep-by-step explanation:
The sum of the measures of a linear pair of angles is 180°.
(2x+24) +(4x+36) = 180
6x = 120 . . . . . . subtract 60, collect terms
x = 20
(2(20) +24)° = 64° = ∠KPL
(4(20) +36)° = 116° = ∠JPL
If Jamie is riding at 14 mph and cori is riding at 0.04km per minute, how far will each of yjem bike in two hours? 1 mile = 1.61 km use the equation D=V/T
Answer:
Jamie will have covered a distance of 45.08 km while Cori will be 4.8 km away
Step-by-step explanation:
Here, we want to know how far will each of both riders be in 2 hours time.
Jamie is riding 14 mph
This means the number of miles covered in two hours will be 14 mph * 2 = 28 miles
For comparison purposes, let’s convert this to kilometer.
Since 1 mile = 1.61 km, then 28 miles will be 28 * 1.61 km = 45.08 km
For Cori, he is riding at 0.04 km per minute
1 hour = 60 minutes
so 2 hours = 2 * 60 = 120 minutes
Since the speed is 0.04 km in a minute
Then the distance in 120 minutes will be 0.04 * 120 = 4.8 km
Answer:
The answer is B.
Step-by-step explanation:
0.40 km to miles 0.248548
Then 0.248548 x 120=2 hours
16 PS 19
E question Help
Some friends played a board game. During the game, one unlucky player had to move back 9 spaces
7 turns in a row. Find a number to represent that player's movements for those 7 turns
Answer:
-63
Step-by-step explanation:
Because -9 x 7 = -63. If the signs are different then it will be negative. -9 x 7 = -63 is the same like 9 x 7 = 63. I hope this answer your question!
This graph shows the number of miles a freight train travels over a period of time.
Freight Train Travel Rate
What is the slope of the line?
Use the number pad to enter your answer in the box
Cindy lost 47 pounds while on a diet. She now weighs 144 pounds. Write and solve an equation to find her initial weight.
Answer:
191
Step-by-step explanation:
47+144=191
Answer:
equation: 144+ 47= 191
Step-by-step explanation:
What’s the value of k?
Answer: k = 5°
Step-by-step explanation:
A triangle adds up to 180°. Therefore, the equation is 115 + (4k + 5) + (6k + 10) = 180.Remove the parenthesis and combine the like terms. 115 + 5 + 10 = 130 and 4k + 6k = 10k. The equation simplifies to 130 + 10k = 180.Subtract 130 on both sides. 10k = 50Divide by 10 on both sides. k = 5Answer:
The value of k is 10°
Step-by-step explanation:
Assuming that straight line is 180°. First, you have to find the angle of ZYX by subtracting 115° from 180° :
∠ZYX = 180° - 115° = 65°
Given that total angles in a triangle is 180°. So you have to add up all the angles in the triangle in terms of k :
∠XZY + ∠ZYX + ∠ZXY = 180°
4k + 5 + 65 + 6k + 10 = 180
10k + 80 = 180
10k = 180 - 80
10k = 100
k = 100 ÷ 10
k = 10
Which step can you use to solve the equation t - 8= -3?
O Add 8 to each side of the equation.
Subtract 8 from each side of the equation.
O Multiply each side of the equation by 8.
O Divide each side of the equation by 8.
Solve the equation t-8=
3.
4(b+24)=(12b+8) pls help
Answer:
b=11
Step-by-step explanation:
4(b+24)=(12b+8)
4b+96=12b+8
-4. -4
96=8b+8
-8. -8
88=8b
88÷8=11
The gcf of 36 and 60
Answer:
the gcf is 12
Step-by-step explanation:
.............
Answer:
The gcf is 12!
The coordinates of points A and B are A(4, -2) and B(12, 10). What are the coordinates of the point that is 1/4 of the way from A to B?
Answer:
Step-by-step explanation:
(4 + 12)/4 = 16/4 = 4
(-2 + 10)/2= 8/4 = 2
(4, 2) is 1/4 of the way from A to B
The coordinates of the point that is 1/4 of the way from A to B is (28/5, 2/5) if the coordinates of points A and B are A(4, -2) and B(12, 10).
What is an ordered double?It is defined as a representation of coordinates in a two-dimensional coordinate plane. It has a list of two elements in it, such as (x, y).
[tex]\rm Area = |\dfrac{(x_1y_2-y_1x_2)+(x_2y_3-y_2x_3)....+(x_ny_1-y_nx_1)}{2}|[/tex]
It is given that:
The coordinates of points A and B are A(4, -2) and B(12, 10)
The coordinates of the point that is 1/4 of the way from A to B
The above statement means that the line segment AB is divided in the ratio of 1:4 internally.
Using the section formula:
Let C be the new coordinate point:
C(x) = [1(12) + 4(4)]/(1+4)
C(x) = 28/5
C(y) = [1(10) + 4(-2)]/(1+4)
C(y) = 2/5
Thus, the coordinate of the point that is 1/4 of the way from A to B is (28/5, 2/5) if the coordinates of points A and B are A(4, -2) and B(12, 10).
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szfdxgcvjhgfdshdxfjcgkvhlkgfgd
Answer: B
Step-by-step explanation:
-6.53, -6 1/4, 6.57, 6 3/4.
Suppose f(x)=4x-2 and g(x)=-2x+1. Find the value of f(5)/g(-3)
Answer:
17/7 (2 3/7 or 2. 428571...)
Step-by-step explanation:
f(x) = 4x-2
Find f(5)
f(5) = 4(5)-3f(5) = 20-3f(5) = 17g(x) = -2x+1
Find g(-3)
g(-3) = -2(-3)+1g(-3) = 6+1g(-3) = 7Find f(5)/g(-3)
f(5)/g(-3)17/7 (2 3/7 or 2. 428571...)The value of f(5)/g(-3) will be 18/7.
What is substitution method?To find the value of any one of the variables from one equation in terms of the other variable is called the substitution method.
Given that;
The value of the function are,
⇒ f (x) = 4x - 2 and
⇒ g(x) = -2x + 1
Now,
Since, The value of the function are,
⇒ f (x) = 4x - 2 and
⇒ g(x) = -2x + 1
Hence, We get;
⇒ f (5) = 4 × 5 - 2
= 20 - 2
= 18
And, g (- 3) = - 2 × - 3 + 1
⇒ g (-3) = 6 + 1
= 7
Thus, The value of f(5)/g(-3) = 18/7
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What value does the 8 represent in the number 865,202 ?
The value of 8 is 800,000.
The value of each digit in a number is known as the place value. The place value of 8 in the number 865,202 is 800,000.
What is the place value of a digit in a number?The value of each digit in a number is known as the place value. The 5 in 350, for example, represents 5 tens, or 50, whereas the 5 in 5,006 represents 5 thousand, or 5,000. It is critical that children that while a digit can be the same, its value is determined by its position in the number.
How do identify the place value of a digit in a number?The place values on the left of the decimal point start as ones, tens, hundreds, and so on. The place value on the right of the decimal point starts from the point and goes to the right as tenths, hundredths and so on
The tens mean multiply by 10The tenth means the tenth part of that digit which is that digit divided by 10The place value of 8 in the number 865,202 is 800,000.
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Convert 6 7/20
into a decimal
Answer:
6.35
Explanation:
7 divided by 20 is 0.35+6= 6.35
2xº
(8x - 10°
a. Solve for x
b. Find the measure of the angle on the right
c. Find the measure of the angle on the left
Step-by-step explanation:
2x + 7x - 10 = 180° because these rwo angles are supplementary
10x - 10 = 180°
10x = 190° divide both sides by 10
x = 19
measure of angle on the right:
8x - 10 ➡ 8 × 19 - 10 = 142°
measure of angle on the left:
2x ➡ 2 × 19 = 38°
find the value of f(3) for the function f(x)=-4(x+3) f(3)=
Answer:
-24Step-by-step explanation:
Given function
f(x)= -4(x+3)To find
f(3)=?Solution
Substitute x with 3 in the equation to find f(3)
f(3) = -4(3+3) = -4*6 = -24500g:3kg.Give answer in lowest term
Answer:
Step-by-step explanation:
First, you have to convert the units, since kilograms and grams aren't the same unit. 1000 grams=1 kilogram. Keep that in mind, and lets move on.
So, that means 3 kilograms=3,000 grams. Let's rewrite our ratio.
500g:3,000g
So now they're the same units, but it isn't simplified. This last parts easy. To simplify a ratio, find the number you can divided both number with. In this situation, that number is 500. 500 divided by 500= 1, and 3,000 divided by 500= 6.
Final Simplified Ratio: 1g:6g
Hope this helped :)
Roselyn is driving to visit her family, which lives 150 km away. Her average speed is 60 km/h. The cars tank has 20 L of fuel at the beginning of the drive, and its feel efficiency is 6 km/L. Fuel cost 0.60 dollars per liter what is the price for the amount of feel that Rosalyn will use for the entire drive?
Answer:
15
Step-by-step explanation:
It was very long
The price for the amount of fuel that Roselyn will use for the entire drive is $25
What is an Equation?An equation is a mathematical statement formed when two expressions are equated using an equal sign.
The equations are useful in the determination of unknown parameters.
The equations are of various types, such as Trigonometric equations, and quadratic equations.
Roselyn's family lives 150 km away.
Her average speed is 60km/h
The car tank has 20 L of fuel at the beginning of the the drive.
Fuel efficiency is 6km/ L.
The cost of the fuel is $0.60/L.
The total drive is 150km.
The 6km of distance requires 1 L of fuel
Then 150 km of the distance requires
= 150 * 1 / 6
= 150/6
= $25.
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please help!! (click on pic)
Answer:
1/2x³y^6
Step-by-step explanation:
Points P, R, and S, are collinear such that R lies on PS. It is known that the ratio of
PR: RS = 1/3}. Find the location of coordinate R if P is located at (-2,-6) and is
located at (10,30).
Answer:
1,3
Step-by-step explanation:
Sorry if my English is bad
or if my answer is wrong but from my understanding,
as you can recognize from the photos, we need to understand what a collinear is. Collinear are points that are lying in the same straight line. Thus, we can transform the ratio to fractions which means 1 : 3 into 1/3
Hence, the coordinate R is 1/3 between P and S.
Therefore, to determine coordinate R, we must use the formula that is provided. P is (X1, Y1), S is (X2,Y2), M1 is 1 or the Numerator and M2 is 3 or The denominator.
gET RIGHT AND GET BRAINLIEsT
Answer:
68
Step-by-step explanation:
k=-34
absolute value makes k positive
34+34
Can someone help me with this please :)
Answer:
47.25
Step-by-step explanation:
9 times 10.5=94.5/2=47.25
Sarah is playing a board game. Her score was -275 at the start of her turn. At the end of her turn, her score was -425. What was the change in Sarah's score (in points) from the start of her turn to the end?
Answer:
150 points
Step-by-step explanation:
Since they are asking for a change, first you need to subtract the greater number by the least number. So the equation now looks like -275 - (-425), solving this using integer skills will get you a answer of 150 points.
Answer: -150
Step-by-step explanation:
The change is obtained by subtracting the original term from the second term so you do -425 + 275 = -150, the change in Sarah’s score.
A rain gutter is made from aluminum sheets that
28 cm wide. The first step in forming a rain gutter is to lift the edges of the aluminum sheet to form right angles, as show in in the illustration below. The cross-section
area formed by the raised edges affects the water flow. This cross-section area, A, can be represented by the function A = x(28-2x) where x
represents the height of the raised edges.
1. To the nearest centimetre, determine the height of the raised edge, x cm, which will maximize the
transverse area.
Answer:
7 cmStep-by-step explanation:
For any quadratic function f(x)=ax²+bx+c given in form f(x)=a(x-h)²+k, where:
h=-b/2a and k=f(h) the point (h, k) is vertex of the function graph.
It means that k is maximum (if a<0) or minimum (if a>0) value of function and x=h is the x which will maximize function.
A(x) = x(28-2x) = 28x - 2x² = - 2x² + 28x ⇒ a = -2 , b = 28
h = -28/[2•(-2)] = 7
A rectangular lawn is 40 feet by 50 feet. How wide a uniform strip has been mowed around
the edge if 3/10 of the lawn has not yet been mowed?
Answer:
The width of the strip is 28 ftStep-by-step explanation:
First lest us calculate the area of the rectangle
given that
length= 50ft
width= 40 ft
Area = length *width
Area= 50*40
Areaa= 2000 ft^2
given that 3/10 of the lawn is yet to be mowed
(3/10)*2000
0.3*2000= 600ft^2
Therefore the area that has been mowed is 2000-600= 1400 ft^2
1400 ft^2
since the direction of the mower is along the lenght of the lawn
area= lenght*width
1400= 50*width
width= 1400/50
width= 28 ft