The population is growing as the births are more than deaths in an year.
What is Population Growth?Increases in a population's or a dispersed group's membership are referred to as population growth.
Given:
Total population = 500Per capita birth rate = 0.3Per capita death rate = 0.2To find: Is population growing or shrinking?
Finding:
Number of new-borns in an year = total population (per capita birth rate) = 500(0.3) = 150Number of deaths in an year = total population (per capita death rate) = 500(0.2) = 100Difference in the number of births and deaths = 150 - 100 = 50Hence the population is growing as the births are more than deaths in an year.
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Samuya is multiplying 0.7 by 0.003. how many zeros will be to the right of the decimal point in the product?
After multiplying 0.7 by 0.003 there are two zero to right of the decimal point in the product.
Here,
Samuya is multiplying 0.7 by 0.003.
We have to find, zeros will be to the right of the decimal point in the product.
What is Product?
The product of two numbers is the result you get when you multiply them together.
Now,
Product of 0.7 and 0.003 we get;
0.7 x 0.003 = 0.0021
Clearly, there are two zero to the right of the decimal point in the product.
So, After multiplying 0.7 by 0.003 there are two zero to right of the decimal point in the product.
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Which fraction is equivalent to this decimal
Answer:
1/7
Step-by-step explanation:
You can just divide all the possible answers.
1/9 = 0.1111111 (1 repeating
1/7 = 0.142857142857
1/11 = 0.090909090909 (repeating)
1/14 = 0.0714285714286 (repeating)
The expression 162 models the distance, in feet, that an object falls during the first t seconds after being (1 point)
dropped. Find the distance the object falls in 2 seconds.
O 24 feet
O 64 feet
O 32 feet
O 16 feet
Answer:
64 Feet.
Step-by-step explanation:
First find the expression that describes the distance at t seconds. Which will be 16t^2
Now the distance is t=2.
So...
=16t^2
=16(2)^2
=64.
he zeros of a quadratic function are 6 and -4. Which of these choices could be the function?
A.
f(x) = (x + 6)(x + 4)
B.
f(x) = (x + 6)(x − 4)
C.
f(x) = (x − 6)(x + 4)
D.
f(x) = (x − 6)(x − 4)
Answer:
C
Step-by-step explanation:
given the zeros x = a and x = b then the corresponding factors are
(x - a) and (x - b)
then f(x) is the product of these factors
given zeros x = 6 and x = - 4 then the factors are
(x - 6) and (x - (- 4)) , that is (x - 6 and (x + 4) , then
f(x) = (x - 6)(x + 4)
find the perimeter of the polygon with vertices U (-2,4) V (3,4) and W (3,-4)
So the perimeter of the polygon with vertices U (-2,4) V (3,4) and W (3,-4) is Perimeter = 22.434
Perimeter of any close shape is the total length of the boundary of any closed shape.
We have been given vertices of polygon that are U (-2,4) V (3,4) and W (3,-4)
To find the perimeter we need to find the length of all three sides, and we do that by finding the distance between the points that form the sides:
The formula for the distance between two points is:
[tex]$d=\sqrt{\left(x_1-x_2\right)^2+\left(y_1-y_2\right)^2}$[/tex]
side UV:
[tex]$U V=\sqrt{(-2-3)^2+(4-4)^2}=5$[/tex]
side VW:
[tex]$V W=\sqrt{(3-3)^2+(4-(-4))^2}=8$[/tex]
side UW:
[tex]$U W=\sqrt{(-2-3)^2+(4-(-4))^2}=9.434$[/tex]
So the perimeter is:
P=UV+VW+UW
[tex]$P=5+8+9.434=22.434$[/tex]
So the perimeter is: 22.434
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sam ran 63,756 feet in 70 minutes. what’s sams rate in miles per hour
Answer:
63,756 ft / 70 min
Three times the greater of two consecutive even integers is 26 less than four times the lesser.
Find the integers.
Answer:
-20, -18
Step-by-step explanation:
let x = the smaller number
Let x + 2 = the larger number
3(x +2) -26 = 4x
3x + 6 -26 = 4x
3x -20 = 4x Subtract 3x from both sides of the equation
-20 = x
x + 2
-20 + 2 = -18
Check:
3(-20 + 2) -26= 4(-20)
3(-18) - 26 = -80
-54 -26 = -80
-80 = -80
2a²-2a-15 at a = 13
Answer: 297
Step-by-step explanation:
2a^2 - 2a - 15
sub a = 13
2 * 13^2 - 2 * 13 - 15
2 * 169 - 2 * 13 - 15
338 - 26 - 15
= 297
What is the value of invar in the base workspace after executing: invar = 1; out1 = plusone(invar);
2 is the value of invar in the base workspace after executing.
What are variables?
A idea or thing that can be numerically, or quantitatively, measured is represented by a variable. Variables can have a wide range of values, which is why they are called variables. Thus, a variable can be thought of as a quantity that can take on different values depending on the circumstances of a given issue.What three categories of variables are there?
Any feature, characteristic, or circumstance that can exist in various amounts or types is considered a variable. Independent, dependent, and controlled variables are typically present in an experiment.
invar = 1;
out1 = plusone(invar);
= 2
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When a denominator is greater then numerator does the cutting fraction stop there?or it can still be reduced
Answer:
it can be reduce by turning into a mixed number.
pls hurry! i will give brainliest!!
-
What is the measure of angle x?
Enter your answer in the box.
Answer:
43
Step-by-step explanation:
1. (2x - 3)² = 18
2. 2 (5x + 2)² = 64
solve using Quadratic Equation
1) The solution to the given quadratic equation is; x = ¹/₂(3 ± 3√2)
2) The solution to the given quadratic equation is; x = 5/6 or -2
How to find the roots of quadratic equations?
1) (2x - 3)² = 18
To fid the value of x, we can solve by first taking the square root of both sides to get;
√(2x - 3)² = ±√18
Add 3 to both sides using addition property of equality to get;
2x - 3 = ±3√2
2x = 3 ± 3√2
x = ¹/₂(3 ± 3√2)
2) 2(5x + 2)² = 64
To fid the value of x, we can solve by first dividing both sides to get;
(5x + 2)² = 32
Take square root of both sides to get;
(5x + 2) = ±8
Subtract 2 from both sides using subtraction property of equality to get;
5x + 2 = ±8
5x = ±8 - 2
5x = 6 or 5x = -10
x = 5/6 or -2
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completa la tabla sobre o debajo segun corresponda
A) el 24 por ciento de los valores queda por _________ del P25
b) el 25 por ciento de los valores queda por __________ del Q3
complete the table above or below as appropriate of segun corresponda.
Spanish 22% English 25% Periodism 18% Physical Education 17% Biology 18%
1. Thirty-five percent of students studied science; hence, 35 (35 = thirty-and-five) = thirty-and-five.
2. One-hundred and thirty-three percent of students studied English or periodical studies — 25+18 = 43 (forty-three = one hundred and thirty-three).
3. One-sixty-five percent of students did not study science — 22+25+18 = 65 (sixty-five = one-sixty-five)
4. Eighty two percent of students did not study biology — 17 + 22 + 25 + 18 = 82 (eighty two Equals eighteen and two).
5. One-quarter and seven percent of students studied either English or Spanish — 25+22 = 47 (quarter and seven = 47).
6. One hundred and three percent of students — 17+18+18 = 53 (one hundred and thirty equals five) — did not study languages.
y tres)
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graph g(x) = -3|x+5|-1. Describe the transformations of the parent function f (x) =|x| that produce the graph g(x).
Answer:
horizontal shift 5 units left
Vertical shift 1 unit down
reflection on the x-axis: Reflected
Vertical stretch: stretched
Step-by-step explanation:
Question 4 4.1 Determine the value of c in the diagram. 65% c 4.2 Determine the value in the diagram. x-20° 84° (3) Statement Statement Reason Reason
The value of c is 25° and x is 116°.
From figure 1, we can see hat the entire angle is given to be 90°. This angle is divided into 2 parts, one is 65° and the other is c
This means that-
65 + c = 90
c = 90 - 65
c = 25
Thus, the value of c is 25°.
Now, in the 2nd figure, we can see that both the horizontal lines are parallel and a transversal is drawn between them.
Both the angles thus formed are opposite interior angles and are hence supplementary.
Therefore, (x - 20) + 84 = 180
x - 20 = 180 - 84
x - 20 = 96
x = 96 + 20
x = 116
Thus, the value of x is 116°
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NEED NOW what is (-3, 0) (0, -3) in slope-intercept form
Answer:
y=-x-3
Step-by-step explanation:
Write in slope-intercept form, the equation is y=mx+b .
y=−x−3
Teresa made a circular plywood cover bigger than the mouth of the mixing bowl. it is 20 cm in diameter. but in using the mixer, the cover must have a hole in the middle to insert the mixing tool. if the hole is 10 cm in diameter, what is the final area of the mixer cover?
The final area of the mixer cover is 1650/7 square cm.
Given that:-
Diameter of circular plywood cover = 20cm
Diameter of circular hole in the middle = 10cm
We have to find the final area of the mixer cover after cutting the hole in the middle.
We can find the radius of the circular cover and the circular hole using their respective diameters.
Hence,
Radius of circular plywood cover = 20/2 = 10 cm
Radius of circular plywood cover = 10/2 = 5 cm
We know that,
Area of circle = [tex]\pi r^2[/tex]
Hence,
Area of circular plywood cover = [tex]\frac{22}{7}*(10)^2 =\frac{2200}{7}[/tex]
Area of circular hole = [tex]\frac{22}{7}*(5)^2 =\frac{550}{7}[/tex]
Final area = Area of circular plywood cover - Area of circular hole
Final area = (2200/7) - (550/7) = 1650/7 square cm.
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How do I simplify this?
What is the value of the expression below when x = 3 and y = 2? 6x - y
Answer:
The value of the expression of x 3 and y 5. Substitute each x and y with these numbers in equation and which would you get a value? So 4x+6y
4(3)+6(5)=
12+30=42
B. 42 ♥️
Step-by-step explanation:
5. Let p be "an animal is a puppy" and let q be "it is a dog." Write each statemen
in words. Then decide whether it is true or false.
a. the conditional statement p → q
b. the converse q→ p
c. the inverse -p-9
d. the contrapositive -q→ ~P
a. The conditional statement p → q is true
b. The converse q → p is False.
c. The inverse p → ~q is False
d. The contrapositive -q→ ~p is True
How to Interpret Conditional Statements?
We are given the conditional statement;
Let p be "an animal is a puppy" and let q be "it is a dog."
a) The conditional statement p → q which is "If an animal is a puppy, then it is a dog" is true.
b) The converse statement q → p which is "If an animal is a dog, then it is a puppy" is false.
c) The inverse statement p → ~q which is "If an animal is not a puppy, then it is not a dog" is false.
d) The contrapositive statement: q → ~p which is "If an animal is not a dog, then it is not a puppy" is true.
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Evaluate f(x) = -2x + 5 when x = 8
solve for x and y
(7y-20)
(5x-38)
(3x-4)
Given a function f(x) = m/x-1 + n, where f(-2) = 1 and f(4) = 3. Find the values of m and n
We get the values of m as 1 and n as 0.
We are given a function:
f(x) = m / (x - 1) + n
We are also given that:
f (-2) = 1 and f (4) = 3
We have to find the value of m and n.
f (-2) = m (2 - 1) + n
1 = m + n
n = 1 - m
f (4) = m / (4 - 1) + n
3 = 3 m + n
3 = 3 m + 1 - m
3 = 2 m + 1
2 m = 3 - 1
2 m = 2
m = 2 / 2
m = 1
m + n = 1
1 + n = 1
n = 0.
Therefore, we get the values of m as 1 and n as 0.
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please help me
Here are two expressions whose sum is a new expression, A.
(2x2+5)+(6x□−7)=A
Select all the values that we can put in the box so that A is a polynomial.
Answer:
D, F and G
Step-by-step explanation:
A polynomial must have a negative exponent for the variable term. So we can eliminate A, B and C
Also no fractional exponents so eliminate E
F & G are positive exponents so acceptable
D has the exponent 0 so the term becomes (2x² + 5) + (6x⁰ + 7)
x⁰ = 1 so the expression becomes 2x² + 5 + 6 + 7 = 2x² + 18 which is a polynomial.
one advantage of the experimental method over the correlational method is that the experiment , but the correlational study does not.
The experimental method has one advantage over the correlational method in that it "determines cause and effect," whereas the correlational study does not.
What is defined as correlational method?Quantitative methods are used in both experimental and correlational research to investigate interactions between variables. However, there are significant differences with how data is gathered as well as the conclusions that can be drawn.
A correlational research design looks into interactions between variables without allowing the researcher to control or manipulate any of them.A correlation is a measurement of the strength and/or direction of a relation between two (or more) variables. A correlation's direction may be positive or negative.What is defined as experimental method?Experimental research is scientific research that employs two sets of variables. The first set serves as a constant against which the differences in the second set are measured. Experimentation is used in quantitative research, for example.
If you lack sufficient information to back up your decisions, you should first establish the facts. Experimental research collects the information needed to make better decisions.Experimentation is used in any research done under scientifically acceptable conditions.To know more about the correlational method, here
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4 12 ➗ 1 12
what is the quotient?
The quotient of the fraction 4/12 ÷ 1/12 is 4.
What do we mean by fractions?A fraction is a small part of a larger whole.In arithmetic, the number is expressed as a quotient, which is the numerator divided by the denominator.In a simple fraction, both are integers.A complex fraction has a fraction in the numerator or denominator.In mathematics, there are three major types of fractions.The three types are proper fractions, improper fractions, and mixed fractions.Fractions are terms with a denominator and a numerator.So, evaluation of 4/12 ÷ 1/12:
4/12 ÷ 1/124/12 × 12/1 (Reciprocal)4/1 (12 - 12 cancel)4Therefore, the quotient of the fraction 4/12 ÷ 1/12 is 4.
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which property is shown by 2 + 0 = 2
A. Associative Property of Addition
B. Commutative Property of Addition
C. Distributive Property
D. Identify Property of Addition
The property shown in 2 + 0 = 2 is the Identify Property of Addition
How to name the property shown?The expression is given as:
2 + 0 = 0
The Identify Property of Addition property states that
a * 0 = a
This means that the property shown is the Identify Property of Addition
Hence, the property shown in 2 + 0 = 2 is the Identify Property of Addition
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Complete the point-slope equation of the line through (-4,8) (−4,8)
Use exact numbers.
(Point-Slope Equation)
any detailed answer for this??
Answer: y = 8
Step-by-step explanation:
Point-slope form is written as y - [tex]y_1[/tex] = m(x - [tex]x_1[/tex]) where m is the slope and ([tex]x_1[/tex] , [tex]y_1[/tex]) are points on the line.
First, we need to find the slope. This can be found with change in y over change in x:
[tex]\displaystyle \frac{y_{2} -y_{1} }{x_{2} -x_{1} }[/tex]
[tex]\displaystyle \frac{8-8}{-4--4}=\frac{0}{-4+4}=\frac{0}{0}=[/tex] undefined
Now, we will plug this undefined slope (0) into the equation below. Anything times 0 is 0, so no matter what (x - [tex]x_1[/tex]) is, the right side of the equation will always be 0.
y - [tex]y_1[/tex] = m(x - [tex]x_1[/tex])
y - [tex]y_1[/tex] = (0)(x - [tex]x_1[/tex]) ➜ y - [tex]y_1[/tex] = 0
Lastly, we will take the y-value of 8 and plug it into the equation and simplify.
y - [tex]y_1[/tex] = 0 ➜ y - (8) = 0 ➜ + 8 (y - 8) = (0) + 8
y = 8
See attached for a visual explanation.
Explain why V8 is
a rational number, but √8 is not a rational
number.
Which quantity is best modeled by a linear function?
A the area of a square as a function of the side length
the height of a ball thrown into the air as a function of time
the number of seconds as a function of the number of hours
the height of a reflector on a rotating bike tire as a function of time
The quantity that is best modeled by a linear function is given as follows:
the number of seconds as a function of the number of hours.
What is a linear function?A linear function is modeled by the following rule:
y = mx + b
In which:
m is the slope, which is the rate of change, that is, the change in y divided by the change in x.b is the y-intercept, which is the the value of y when the function crosses the x-axis, that is, when x = 0.Another feature of linear functions is uniform behavior, as they are either increasing or decreasing over the entire domain, there are no changes from increasing to decreasing.
Heights increase or decrease over the domain, hence they are not linear, while the area of the square is quadratic, as A = s².
One hour has 3600 seconds, hence the number of seconds in a number of hours is modeled by the following linear function:
S(h) = 3600h.
Hence the quantity that is best modeled by a linear function is given as follows:
the number of seconds as a function of the number of hours.
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