The population of Cuba in 10 years will be 1.9243 million.
What is meant by exponential growth?A process called exponential growth sees a rise in quantity over time. It happens when a quantity changes at an instantaneous rate that is proportionate to the quantity itself with respect to time.
Data patterns that exhibit exponential growth exhibit quicker rate of expansion over time. Compounding produces exponential returns in the financial world. Savings accounts with a compound interest rate have the potential to expand exponentially.
The population growth will be modeled using exponential growth:
f(x) = a(b[tex])^t[/tex]
where:
a be the initial value
b be the growth rate
Substitute the values in the above equation, we get
f(x) = 1.3(1.04[tex])^t[/tex]
The population after 10 years will be:
f(x) = 1.3(1.04[tex])^{10[/tex]
simplifying the equation, we get
f(x) = 1.9243
Therefore, the population in 10 years will be 1.9243 million.
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The population of Cuba in 10 years will be 1.9243 million, if the population is expected to grow at a rate of 4% each year.
What is meant by exponential growth?Quantities increase over time through a process known as exponential growth. It occurs when a quantity shifts at a pace that is proportional to the quantity's own rate of change with regard to time.
Data patterns that show exponential growth expand more quickly over time. In the world of finance, compounding generates exponential profits. Compound interest savings accounts have the potential to grow tremendously.
The population growth will be modeled using exponential growth:
f(x) = a(b)[tex]^{t}[/tex]
where:
a be the initial value
b be the growth rate
Substitute the values in the above equation, we get
f(x) = 1.3(1.04
The population after 10 years will be:
f(x) = 1.3(1.04
simplifying the equation, we get
f(x) = 1.9243
Therefore, the population in 10 years will be 1.9243 million.
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- 3 (x + 8) ^ 2 - 3
Answer:
-3x + 549
Step-by-step explanation:
The order of operations is PEMDAS(parenthesis, exponents, multiplication, division, addition, subtraction)
So, according to PEMDAS, the first thing that we would do is solve the parenthesis. Since we can't solve the parenthesis because they aren't like terms, we're going to use distributive property to solve it instead.
-3(x+8) = -3(x) + -3(8) = -3x -24
Now we have: -3x - 24 ^ 2 -3
Our next step is to solve the exponent
24 ^ 2 or 24 x 24 = 576
Now we have: -3x - 24 + 576 -3
Our next step would be to add and subtract the like terms
-24 + 576 = 552 and 552 - 3 = 549
Now we have: -3x + 549
This would be the simplest form of the equation because -3x and 549 are not like terms
The temperature outside is 14°F. If the temperature drops 20° ,will the outside temerature be represented by a positive or nagative integer?Explain your reasoning.
Answer:
14-20= -6
Step-by-step explanation:
If it goes past zero on the left its now a negative
Hope this helps plz like and brainly :D
Much would be appreciated <3
Karen has a square rug that covers 76.5 ft^2 of her living room floor. Which measurement is closest to the side length of this rug in feet?
A. 8 ft
B. 9 ft
C. 19 ft
D. 20 ft
E. 38 ft
F. None of the above
Two parallelograms below are similar. What is the length of BC
First, you will take 9/4 to find the similarity of the two parallelograms, and that will give you 2.25. Next, you will multiply that 2.25 to the 6 which will give you the length of BC. Your answer should then be 13.5.
Answer:
13.5
Step-by-step explanation
The two lengths for the first parallelogram is a ratio of 2:3
4 is 2 and 6 is 3
So for the other parallelogram, 9 would be in the first part of the ratio.
Meaning that the length BC would be 1/3 more than 9.
If we split 9 in half, it would be 4.5
9 + 4.5 = 13.5
hope this helps :)
How many people are at chrissys birthday party?
22 1\2 divide 1 1/4
Answer:
The answer is 18
Step-by-step explanation:
22½ = [(22 × 2) + 1] ÷ 2 = 45/2
1 ¼ = [(1 × 4) + 1] ÷ 4 = 5/4
Now,
45/2 ÷ 5/4
45/2 × 4/5
(45 × 4) ÷ (2 × 5)
180/10 = 18
Thus, 18 people are at Chrissy's birthday party.
Sasha is a journalist for an online school magazine. She wants to know what topic readers are not interested in for the next publication
Sasha puts a survey on the magazine's website and considers the first 25 responses. Are conclusions drawn from this sample likey to be true for all readers of the magazine?
Answer:
Step-by-step explanation:
No, some people don't like certain things. It like saying that you pick five random people who are at a science fair and ask them if they like science, the answer would be yes, but if you went to Walmart and asked five random people if they liked science your answers would most likely end up being no. It's the same way looking at the magazines.
A coefficient indicates the number of times a term has been a. added b. subtracted c. multiplied d. divided
Answer:
C. Multiplied
Step-by-step explanation:
A coefficient is a quantity placed before a variable to indicate how many times it has been multiplied.
Write f(x)=1/2x^2+1/2x-10 in intercept form. Then find the x-intercepts, the vertex, and the axis of symmetry of the graph of f.
f(x)=1/2x^2+1/2x-10 in intercept form is (1/2)(x+4)(x-3)
The x-intercepts are x=-5 and x=4.
The vertex of symmetry is (-1/2, -81/8).
The axis of symmetry is: x = -1/2
What is intercepts?A vertical intercept is a point where the graph of a function or relation meets the y-axis of the coordinate system in analytical geometry,
f(x) = 1/2x^2+1/2x-10
= (1/2)(x² + x - 20)
= (1/2) (x² + 5x - 4x - 20)
= (1/2) { x(x+5) -4(x+5)
= (1/2) (x+5)(x-4)
Hence, Intercept form: f(x) =(1/2) (x+5)(x-4)
The x-intercepts will be where the factors = 0
x + 5 = 0 ⇒x = -5
x - 4 = 0 ⇒ x = 4
Therefore, the x-intercepts are x=-5 and x=4
To find the axis of symmetry, take the average of intercepts (to find the center of parabola)
(-5 + 4)/2 = -1/2
Axis of symmetry ⇒ x = -1/2
To find the vertex, put the axis of symmetry into the equation
f(x) = (1/2)(x + 5)(x - 4) = (1/2)(-1/2 + 5)(-1/2 - 4) = (1/2)(9/2)(-9/2) = -81/8
vertex is (-1/2, -81/8)
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The x-intercepts, vertex, and axis of symmetry will be - 5 & 4, (-0.50, -10.125), and x = - 1/2, respectively.
What is the equation of the parabola?Let the point (h, k) be the vertex of the parabola and a be the leading coefficient.
Then the equation of the parabola will be given as,
y = a(x - h)² + k
The equation is given below.
f(x) = (1/2)x² + (1/2)x - 10
2f(x) = x² + x - 20
2f(x) = x² + x + 1/4 - 1/4 - 20
2f(x) = (x + 1/2)² - 81/4
f(x) = 1/2 (x + 0.50)² - 10.125
The x-intercepts are given as,
f(x) = 0
1/2 (x + 0.50)² - 10.125 = 0
(x + 0.50)² = 20.25
x + 0.50 = ± 4.50
x = - 0.50 ± 4.50
x = - 0.50 - 4.50, - 0.50 + 4.50
x = - 5, 4
The equation of the axis of symmetry is given as,
x + 1/2 = 0
x = - 1/2
The graph is attached below.
The x-intercepts, vertex, and axis of symmetry will be - 5 & 4, (-0.50, -10.125), and x = - 1/2, respectively.
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What is line segment in maths class 7?
A line which is confined between two endpoints is known as a line segment. In other words, we can say that a line segment is a portion of a line that is connected by two points.
The length of the line segment does not vary and the distance between them does not change. The units in which a line can be calculated in centimetres, millimetres, meters, inches, or feet.
The difference between a line segment and a line is that the line segment had two endpoints while the line extends indefinitely. When only one side of the line has an endpoint, it is called a ray or a half-open line segment.
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Now classify the polynomial.
7x² – 2x
Answer:
[tex]\huge \fbox \pink {A}\huge \fbox \green {n}\huge \fbox \blue {s}\huge \fbox \red {w}\huge \fbox \purple {e}\huge \fbox \orange {r}[/tex]
[tex]7 {x}^{2} - 2x[/tex]
✏This is a quadratic polynomial because ² has been used as the exponent & degree.
ʰᵒᵖᵉ ⁱᵗ ʰᵉˡᵖˢ
[tex] \huge\blue{ \mid{ \underline{ \overline{ \tt ꧁❣ ʀᴀɪɴʙᴏᴡˢᵃˡᵗ2²2² ࿐ }} \mid}}[/tex]
Answer:
this is a quadratic polynomial
Step-by-step explanation:
you go by the highest paired value so 7x^2 makes the equation quadratic .
Is gram mole equal to mole?
No, one mole is not equal to one gram. For an object, the mole and gram numerical values differ.
1 gram, what is it?
One mole consists of an Avogadro number of atoms. If you are aware of the mole quantity, you can convert a mole into grams.
The mole (symbol: mol) is the unit of material quantity used by the International System of Units. The amount of a substance determines how many elementary entities of that substance are present in an object or sample. The mole must contain precisely 6.02214076×10²³ elementary entities.
A mole's relationship to a gram is
The product of the number of Moles of an object to its atomic weight equals one gram.
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(i made this account for my little sister so if you guys could help her with her questions that would be amazing) there are 115 chairs and there are 5 classes how many chairs does each class get
Which equation bus a simplified form of
3(x+9)-(5x-2)=14
A.-2x+29=14
B. -2x+11=14
C. 8x+25=14
D. 8x+29=14
HELP ASAP! Its due in 10 minutes!!! NO FILES!!
Answer:
d. 204
Step-by-step explanation:
Each triangle is 1/2 bh
base is 10x8
each side is 10x5
all that equals 204 inches squared
write an equation in slope-intercept form of the line that passes through the given point and is perpendicular to the graph of the given equation
(-2,3); y=1/2x - 1
Answer:
y = -2x - 1
Step-by-step explanation:
y = -2x + b
3 = -2(-2) + b
3 = 4 + b
-1 = b
y = -2x - 1
( NO LINKS ) If x=7, is this equation true? 7 + 9x > 73 *
option 1: Yes
option 2: No
Answer:
This is FALSE. Choose Option 2
Step-by-step explanation:
Substituting 7 for x, we get
7 + 9(7) > 73, or 70 73. This is FALSE. Choose Option 2
A club consisting of 11 men and 12 women needs to choose a committee from among its members so that the number of women on the committee is one more than the number of men on the committee. The committee could have from 1 to 23 members. How many committees can be formed
The total number of such committees that may be created, divided by the prime numbers that divide N, is 81.
What is the prime numbers that divide N?In the scenario presented in this question, a club with 11 men and 12 women must elect a committee from among its members in order for there to be one more woman on the committee than males.
The committee might consist of only 1 person or up to 23 people.
Let N represent the maximum possible number of such committees.
The total number of prime numbers that divide N must be determined.
The number of ladies chosen will be m.
The number of guys who were not chosen would thus be:
11 - (m - 1) = 12 - m
Each pairing of men who were not chosen and women who were chosen represents a committee choice.
Since selecting 12 people from a total of 23 would result in m women and 12 - m males, the committee chose:
making use of a combination formula
N = 23C12
N = 23!/12!(23 - 12)!
N = 1352078
These are the main components of 1352078: 2, 7, 13, 17, 19, and 23.
Consequently, the prime number total would be,
2 + 7 + 13 + 17 + 19 + 23 = 81
The total of the prime numbers is thus 81.
The complete question is:
A club consisting of 11 men and 12 women needs to choose a committee from among its members so that the number of women on the committee is one more than the number of men on the committee. The committee could have as few as 1 member or as many as 23 members. Let N be the number of such committees that can be formed. Find the sum of the prime numbers that divide N.
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1. Write a function that represents the following description:
2.“After 8 hours, a person earned $148 in wages”
3. Write a linear function for the values given in the table below
a) After 8 hours, a person earned $148 in wages.
The function is, $x = 18.5 y
b) The linear function to represent the table is, y = 10x -4
What is Linear Function?A function with one or two variables and no exponents is referred to as a linear function. It is a function with a straight line as its graph.
Given:
a) After 8 hours, a person earned $148 in wages.
So, the unit rate change = 148/ 8
= 18.5
So, if y represents the number of hour and $x the wages, then the function is
$x = 18.5 y
b) The unit rate change for the function is
= (56-36)/(6-4)
= 20/ 2
= 10
So, the linear function to represent the table is
y - 36 = 10(x - 4)
y- 36 = 10x - 40
y = 10x -4
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Asap! What is the volume of the cylinder below?
Answer:
300
Step-by-step explanation:
Answer:
V≈9424.78in³
Step-by-step explanation:
Solution
V=πr2h=π·102·30≈9424.77796in³
The roof on a house is 6 metres wide peaks at at a height of 3 metres above the top of the walls. Find the length of the sloping side of the roof.
What are the properties of directed line segment?
The equation of the line segment is written in the form y = mx + b, where m is the slope and b is the y-intercept. Finally, a directed line segment is two-dimensional.
1. It has a definite starting point and a definite ending point.
2. It has a definite length.
3. It has a definite direction.
4. It has a slope and equation.
5. It divides the plane into two parts.
6. It is symmetric about its mid-point.
7. It is two-dimensional.
A directed line segment is a line segment that has a definite starting point and a definite ending point. Its length is the distance between the two points and it has a direction, given by the vector from the starting point to the ending point. The line segment divides the plane into two parts. It is symmetric about its mid-point, which is the point halfway between the two endpoints. It has a slope and an equation. The slope is the ratio of the change in y-coordinates to the change in x-coordinates. The equation of the line segment is written in the form y = mx + b, where m is the slope and b is the y-intercept. Finally, a directed line segment is two-dimensional.
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help ill give brainiest, dont guess. first answer gets brainiest
Answer:
8. Surface area = 85.5cm^2
9. Volume = 45.5cm^3
Step-by-step explanation:
8. A=2(wl+hl+hw)=2·(2·6.5+3.5·6.5+3.5·2)=85.5
9. V=whl=2·3.5·6.5=45.5
Hey smarties✌♀️
Pls help me solve this question. It would be very helpful if u help me a) By what number should [tex]\frac{-4}{17}[/tex] be multiplied so that the product becomes [tex]\frac{-7}{23}[/tex] ?
Tnx in advance❤
Answer:
-3/6
Step-by-step explanation:
The 5th grade Social Studies book weighs 1.79 pounds. There are a total of 93 students in 5th grade at Liddell. What is the total weight of all of the Social Studies books?
Answer:
166.47 lb
Step-by-step explanation:
Calculate 93 times 1.79 pounds:
93 179 lb
---- * ---------- = 166.47 pounds
1 100
Answer:
166.47
Step-by-step explanation:
1.79 x 93 = 166.47
What is the median of the set 5,6,9,11,12,14,20,23,24,24,30?
Answer:
14
The median is the one in the middle
;p
What is the median of the data?
Answer:
100
Step-by-step explanation:
Which of the following is the parent function of all absolute value functions?
f(x) = 3x
f(x) = |x|
f(x) = 2|x|
f(x) = x squared
help
A certain television is advertised as a 38-inch TV (the diagonal length). If the width of the TV is 29 inches, how tall is the TV? Round to the nearest tenth of an inch.
Answer:
24.6
You are welcome
Step-by-step explanation:
Which equation, together with y = -1.5x + 3, makes a system with one solution?
Y= -1.5x + 6
Y= -1.5x
2Y= -3x + 6
2Y + 3x = 6
Y= -2x + 3
Answer:
2y + 3x = 6 is answer correct
If 2/3x-1=4,then x=?
Answer:
a
Step-by-step explanation: