Answer:
2. the process of breeding only organisms with desirable traits
Step-by-step explanation:
Answer:
the answer is the second one
Step-by-step explanation:
A soccer ball kicked from the ground with an initial velocity of 32 ft/s is given by the function
h(t) = -16 + 321. When is the soccer ball moving through the air?
Answer:
In words the answer is between t=0 and t=2.
In interval notation the answer is (0,2)
In inequality notation the answer is 0<t<2
Big note: You should make sure the function I use what you meant.
Step-by-step explanation:
I hope the function is h(t)=-16t^2+32t because that is how I'm going to interpret it.
So if we can find when the ball is on the ground or has hit the ground (this is when h=0) then we can find when it is in the air which is between those 2 numbers.
0=-16t^2+32t
0=-16t(t-2)
So at t=0 and t=2
So the ball is in the air between t=0 and t=2
Interval notation (0,2)
Inequality notation 0<t<2
According to the question:
Make sure the function I use is what you intended, please.I'm going to interpret it as h(t)=-16t^2+32t, so I'm hoping that's the function.The ball is in the air between those two numbers, therefore if we can determine when it is on the ground or has hit the ground (when h=0), we can determine when it is in the air.0 = -16t^2+32t.
0 = -16t(t-2).
So, at t=0 and t=2.
Thus, between t=0 and t=2, the ball is in the air.
Periodic notation (0,2).
Inequality notation 0<t<2.
Learn more about initial velocity here:
https://brainly.com/question/21010554
#SPJ2
d) The surface area if Lake Superior is approximately 31,700 square miles. Express
the surface area of the lake in square kilometers to the nearest square kilometer.
Use the fact that 1 kilometer = 0.6214 miles. (5 pt.)
Answer:
51,013.84 kilometers
Step-by-step explanation:
1 kilometer= .6214
So you have to divide 31,700 by .6214
You get 51,013.839 or round it to 51,013.84
Answer:
51,013.839
Step-by-step explanation: you have to convert to kilometers
What are the x-intercepts of the graph of the function f(x) = x2 + 5x − 36? (−4, 0) and (9, 0) (4, 0) and (−9, 0) (−3, 0) and (12, 0) (3, 0) and (−12, 0)
Answer:
(4,0) & (-9,0)
Step-by-step explanation:
The expression 2(1 + w) is used to calculate the perimeter of a rectangle, where I is length and w is width. If the length is ⅔ unit
and the width is ⅓
unit, what is the perimeter of the rectangle in units?
A: ⅔ unit
B: 1 unit
C: 1 ⅔ units
D: 2 units
PLEEEASEEEE HELLLPPPP FASTTTTT!!!!!
Answer: D: 2 units
Step-by-step explanation:
You may have mistaken the formula, as it's 2(l + w), not 1.
If we use this formula, we can say:
2([tex]\frac{2}{3} + \frac{1}{3}[/tex]) = 2(1) = 2
Therefore, the answer is 2 units.
Hope this helps! :^)
Just number 16 and please explain it
Answer:
There's no solution to this system equation because they are parallel to each other. The solution of system equation is where they intersection with each other.
Step-by-step explanation:
What is the answer to this question
Which is the approximate solution for the system of equations 8x - 10y = -23 and 9x + 10y = -16?
Answer:
it's A (-2.3,0.5)
Step-by-step explanation:
doing it
The approximate solution for the system of equations are (- 2.3, 0.5).
We have to given that,
The system of equations are,
8x - 10y = -23
And 9x + 10y = -16
Now, Solve the equation by substitution method as,
8x - 10y = -23 .. (i)
9x + 10y = -16 .. (ii)
From (ii);
10y = - 16 - 9x
Substitute above value in (i);
8x - (- 16 - 9x) = - 23
8x + 16 + 9x = - 23
17x + 16 = - 23
17x = - 23 - 16
17x = - 39
x = - 39/17
x = - 2.3
From (i);
8 × - 2.3 - 10y = - 23
- 18.4 - 10y = - 23
- 18.4 + 23 = 10y
4.6 = 10y
y = 4.6/10
y = 0.46
y = 0.5
Therefore, Solution is, (- 2.3, 0.5)
Learn more about systems of equations at:
brainly.com/question/14323743
#SPJ2
The Chesapeake Bay tides vary between 4 feet and 6 feet. The tide is at its lowest point when time (t) is 0 and completes a full cycle in 12 hours. What is the amplitude, period, and midline of a function that would model this periodic phenomenon? Amplitude = 1 foot; period = 12 hours; midline: y = 5 Amplitude = 2 feet; period = 6 hours; midline: y = 1 Amplitude = 2 feet; period = 12 hours; midline: y = 5
Answer:
The correct option is 1.
Step-by-step explanation:
The general cosine function is
[tex]y=A\cos (Bx+C)+D[/tex]
where, A is amplitude, [tex]\frac{2\pi}{B}[/tex] is period, C is phase shift and D is midline.
It is given that the Chesapeake Bay tides vary between 4 feet and 6 feet. it means the minimum value is 4 and maximum value is 6.
Amplitude of the function is
[tex]Amplitude=\frac{Maximum-Minimum}{2}[/tex]
[tex]Amplitude=\frac{6-4}{2}[/tex]
[tex]Amplitude=1[/tex]
Therefore the amplitude of the function is y=5.
Midline of the function is
[tex]Mid line=\frac{Maximum+Minimum}{2}[/tex]
[tex]Mid line=\frac{6+4}{2}=5[/tex]
Therefore the midline of the function is y=5.
It completes a full cycle in 12 hours.
[tex]Period=12[/tex] hours
[tex]\frac{2\pi}{B}=12[/tex]
Period of the function is 12 hours. Therefore the correct option is 1.
Answer:
A. Amplitude = 1 foot; period = 12 hours; midline: y = 5
Which is a correct expansion of (3x + 2)(3x^2 +4)
Answer:
The answer is: 3x·3x^2+3x·4+2·3x^2+2·4 APEX
Step-by-step explanation:
Answer:
6x + 3x^2 +4
Step-by-step explanation:
Your wanting like terms/linear equations? If so then:
(3x+2) (3x^2 + 4) =
3x + 3x^2 + 3x + 4, Like terms
6x + 3x^2 +4 is your answer.
Hope my answer has helped you!
What Expression is equivalent to 4/5 divided by 8?
1: 8/10 divided by 8?
2: 8/5 divided by 4?
3: 5/4 Multiplied by 8?
4: 4/5 multiplied by 8?
Please answer quickly, I am timed on this!
Answer:
4/5 divided by 8 = 4/(5*8) = 1/10
1: 8/10 divided by 8 = 8/(10*8) = 1/10
2: 8/5 divided by 4 = 8/(5*4) = 4/10
3: 5/4 multiplied by 8 = (5*8)/4 = 100/10
4: 4/5 multiplied by 8 = (4*8)/5 = 64/10
So the answer is 1.
Step-by-step explanation:
To find the expression equivalent to 4/5 divided by 8, you should perform the calculations. Only the expression 8/10 divided by 8 equates to the same value as the original expression.
Explanation:Firstly, let's calculate your original expression 4/5 divided by 8. Given expression turns into 4/5 * 1/8 = 4/40 = 1/10. Now, let's examine the proposed equivalent expressions:
8/10 divided by 8: This equals to 8/10 * 1/8 = 8/80 = 1/10. This expression is equivalent to the original. 8/5 divided by 4: This equals to 8/5 * 1/4 = 8/20 = 2/5. This expression is not equivalent to the original. 5/4 multiplied by 8: This equals 40/4 = 10. This expression is not equivalent to the original. 4/5 multiplied by 8: This equals 32/5 = 6.4. This expression is not equivalent to the original. Learn more about Equivalent Expressions here:
https://brainly.com/question/28170201
#SPJ3
Find the surface area of the figure shown.
134 ft 2
166 ft2
184 ft2
208 ft2
Answer:
184 ft
Step-by-step explanation:
explanation in the photo
SA = (0.5 x 2 x 6 x 4) + (2 x 10 x 5) + (6 x 10)
SA = 24 + 100 + 60
SA = 184
The answer is 184 ft².
Write a general formula to describe the variation: x varies directly with y
Answer:
x veries directly to y means that
x=ky. k is solved for which is substituted into the equation.
Final answer:
To describe the situation where x varies directly with y, one uses the equation y = kx, where k is the proportionality constant signifying the ratio between y and x.
Explanation:
The student is asking for a general formula to describe the situation where x varies directly with y. When two quantities vary directly, as one increases, the other increases as well, and the relationship between them can be described by a directly proportional relationship. This can be expressed with the equation y = kx, where k is the proportionality constant. The value of k remains constant within any given relationship, indicating how much y changes in response to a change in x. If y is plotted against x on a graph, you would obtain a straight line that passes through the origin, reflecting the direct proportionality.
Determine if each number is a whole number, integer, or rational
number. Include all sets to which each number belongs.
4. -12.
5. 7/8
Final answer:
The number -12 is both an integer and a rational number, but not a whole number. The number 7/8 is a rational number but neither a whole number nor an integer.
Explanation:
We need to determine if each provided number belongs to the sets of whole numbers, integers, or rational numbers.
-12
-12 is an integer because it is a whole number that can be positive or negative, including zero. Since all integers are also rational numbers (they can be written as a ratio of integers, for example, -12 can be written as -12/1), -12 is also a rational number. However, it is not a whole number because whole numbers are non-negative integers (0, 1, 2, 3,...).
7/8
7/8 is a rational number because it is expressed as the ratio of two integers (7 and 8). It is not an integer nor a whole number because it is not a whole number without a fractional or decimal component.
A researcher is studying end-times beliefs of Christians by surveying members of his Methodist church.
This study may suffer from what type of bias?
Participation bias
Availability error
Selection bias
No bias
Answer: Participation bias
Step-by-step explanation: He chose to only use his own church instead of using a number of different denominations.
Please help me! I don’t understand. Find the area
Answer:
596.8 ft^2
Step-by-step explanation:
Answer:
596.8 feet^2
Step-by-step explanation:
The m < C = 180 - 2*38.5 = 103 degrees ( because the triangle is isosceles).
Use the formula: Area of a triangle = 1/2 ab sinC:
Area = 1/2 * 35 * 35 * sin 103
= 596.8 feet^2.
Find the value of two numbers if their sum is 17 and their difference is 1.
Answer:
The values are 9 and 8
Step-by-step explanation:
Let the first number be x
Let the second number be y
The sum of x and y is x+y=17
The difference of x and y is x-y=1
x+y=17 (this is equation 1)
x-y=1 (this is equation 2)
Now we will add equation 1 and equation 2.
x+y = 17
x-y = 1
______
2x =18
x= 18/2
x= 9
Now put the value of x in equation 1.
x+y = 17
9+y = 17
y = 17-9
y = 8
Solution Set ={(x,y)(9,8)}
Value A rent a car a luxury car at a daily rate of $36.09 plus 5 cents per mile. A business person is allotted $120 for a car rental each day. How many miles can the business person travel on the $120?
Consider the function represented by the equation y-6x-9=0. Which answer shows the equation written in function notation with x as the independent variable?
Answer:
f(x) = 6x + 9
Step-by-step explanation:
Given
y - 6x - 9 = 0
Express the equation with y as the subject
Add 6x + 9 to both sides
y = 6x + 9
To express in functional notation let y = f(x), hence
f(x) = 6x + 9
Answer:
A. [tex]f(x)=6x+9[/tex]
Step-by-step explanation:
We have been given an equation [tex]y-6x-9=0[/tex]. We are asked to write our given equation in function notation with x as the independent variable.
First of all, we will convert our given equation in slope-intercept form by separating y on one side of equation.
[tex]y-6x-9=0[/tex]
[tex]y-6x+6x-9=0+6x[/tex]
[tex]y-9=6x[/tex]
[tex]y-9+9=6x+9[/tex]
[tex]y=6x+9[/tex]
Now, we will replace [tex]y[/tex] with [tex]f(x)[/tex].
[tex]f(x)=6x+9[/tex]
Therefore, our required function would be [tex]f(x)=6x+9[/tex] and option A is the correct choice.
Simplify 3 (x+2)- x + 8
Answer:
The answer is x = 7
Step-by-step explanation:
3(x+2) - x + 8
Open the bracket
3(x + 2) distribute
3x + 6
3x + 6 - x + 8
combine the like terms
3x - x + 8 + 6
2x + 14
Please mark me as brainliest
First you must distribute the 3 to the numbers inside the parentheses, which would be x and 2...
(3 * x) + (3 * 2) - x + 8
3x + 6 - x + 8
Now you must combine like terms. This means that first numbers with no variables go together. Then the numbers with the same variables must be combined...
no variable combination:
3x + 6 -x + 8
6 + 8 = 14
3x - x + 14
same variable combination:
3x - x + 14
3x - x = 2x
2x + 14
Hope this helped!
~Just a girl in love with Shawn Mendes
An 8 inch by 6 inch rectangle is the base of the rectangular prism below. What is the lateral area of the figure? 140 square inches 140 inches 236 square inches 236 inches
Answer:
140 square inches
Step-by-step explanation:
An 8 inch by 6 inch rectangle would have a lateral area of 140 square inches.
A rectangle is the shape with parallel opposite sides, combined with the all 90 degree angles. As the type of parallelogram, it has opposite parallel sides. In the rectangle, 1 set of parallel sides is longer than the other, making it look like the elongated square.
Given that,
dimensions of the base is 8 inch by 6 inch and height is 5 inch. That means,
L=8,w=6,h=5
8+8+6+6=28,
then you multiply it by the height so it would be 28x5=140
Learn more about rectangle here https://brainly.com/question/15019502
#SPJ2
3. Given: Circle Q
<A = 35
Find: m AB
Answer: 110°
Step-by-step explanation:
∠A ≅ ∠B
since ∠A = 35° (given), then ∠B = 35°
Use the Triangle Sum Theorem to find ∠C:
∠A + ∠B + ∠Q = 180°
35° + 35° + ∠Q = 180°
70° + ∠Q = 180°
∠Q = 110°
The central angle (∠AQB) ≅ arc AB
since ∠AQB = 110° (solved above), then arc AB = 110°
Sam solved the system of equations below and found that x= 4. Which
ordered pair is the solution to the system?
2x+4y=36
6x+2y=38
Answer:
The ordered pair for the system of equations is (x,y) i.e (4,7)
Step-by-step explanation:
Ordered pair is the represented as (x,y) i.e value of x and value of y.
We are given system of equations:
2x+4y=36 eq(1)
6x+2y=38 eq(2)
and after solving above equations value of x is found to be 4.
We need to find the value of y.
We can find value of y by putting value of x in eq(1)
2x+4y=36
2(4)+4y =36
8+4y = 36
4y = 36-8
4y = 28
y = 7
So, value of y is 7
The ordered pair for the system of equations is (x,y) i.e (4,7)
Answer:
The ordered pair is: (4, 7)
Step-by-step explanation:
We have the following system of equations
[tex]2x+4y=36[/tex]
[tex]6x+2y=38[/tex]
To find the ordered pair that represents the solution to the system of equations we need the value of x and the value of y.
We already know that x = 4.
Then we substitute the value of x in any of the two system equations and solve for the variable y.
[tex]2(4)+4y=36\\\\8 + 4y=36\\\\4y=36-8\\\\4y=28\\\\y=\frac{28}{4}\\\\y=7[/tex]
The ordered pair is: (4, 7)
HELP PLEASEEEEEEEEEEEEEEEEEEE
Answer:
counterclockwise rotationclockwise rotation90 degrees rotation270 degrees rotationYou decide to practice your soccer goal-scoring skills by drawing the outline of a soccer goal for players up to 12 years old(21 by 7 feet) on a wall that measure 36 by 9 feet. Unfortunately, you are a soccer rookie so your shots tend to bounce off the wall randomly. The probability that you actually hit the target goal is
Heyyyyyyyyyyyy
12 is to 7 is the answer
Idlkkk
The probability of hitting the soccer goal drawn onto the wall is approximately 45%, given that the soccer shots are completely random.
Explanation:The subject of this question is probability, which is part of mathematics. The scenario describes a soccer training drill where the aim is to hit a goal that has been drawn onto a wall. The goal's dimensions are 21 feet by 7 feet, and the wall's dimensions are 36 feet by 9 feet.
In order to calculate the probability of hitting the target goal, we first need to calculate the area of the goal and the area of the wall. The area of the goal is obtained by multiplying the length by the height (21ft x 7ft = 147ft^2). Similarly, the area of the wall is 36ft x 9ft = 324ft^2.
Now that we have the areas, the probability of hitting the goal can be calculated by dividing the area of the goal by the area of the wall. That is, 147ft^2/324ft^2 = 0.4537, or approximately 0.45 or 45% when converted into a percentage.
Therefore, given that the shots are completely random, there is a 45% probability that the soccer ball will hit the drawn goal on the wall.
Learn more about Probability here:https://brainly.com/question/32117953
#SPJ3
Add the following polynomials, t
- 3x2 - 2xy + y2
- 4x2 - xy +6y2
x2+ 6xy- y2
Well, it is 3 polynomials so let’s break it down first.
(-3x*2 -2xy +y*2) (-4x*2 -xy + 6y*2)
Let’s add these first. The rule is to drop parentheses and add regularly. Bases stay the same, powers add and coefficients multiply.
Ans: (-7x*4 -3x*2 y*2 + 7y*4)
Now let’s add it with the last one.
The answer is: -6x*6 +3x*3 y*3 -6y*6
The polynomial obtained after adding the following polynomial is 3x +3xy +4y²-3x².
What are Polynomials ?A polynomial can be defined as a mathematical expressions made up of indeterminate and coefficients and involving only addition, subtraction, multiplication, and non-negative integer exponentiation of variables.
It is given in the question to add the polynomials
- 3x - 2xy + y²
- 4x² - xy +6y²
x²+ 6xy- y²
Adding the coefficients of like variables having same coefficients.
3x - 2xy + y² + (- 4x² - xy +6y²) + ( x²+ 6xy- y² )
3x -2xy+y² -4x² - xy +6y² + x²+ 6xy- y²
3x +3xy +4y²-3x²
The polynomial obtained after adding the following polynomial is 3x +3xy +4y²-3x².
To know more about Polynomials
https://brainly.com/question/11536910
#SPJ2
cube root of b to the 12 power
[tex]\sqrt[3]{b^{12}}=\sqrt[3]{(b^4)^3}=b^4[/tex]
Julia is evaluating the expression 17(144). If she uses the distributive property to rewrite the expression with friendlier numbers, which expression can be a step in her work?
Answer:
In order to evaluate the given expression 17(144) using the distributive property, Julia would rewrite the expression in friendlier numbers that is:
(10+7)(100+40+4)
Step-by-step explanation:
We are given an expression 17(144) that we have to evaluate let us say without using the calculator.
Sometimes, it is easier to solve a complex problem in multiple steps as the problem gets distributed and the difficulty level lowers for multiple smaller sets.
Julia would rewrite the expression as:
(10+7)(100+40+4)
Then solve it using distribution method as follows:
10(100+40+4)+7(100+40+4)
1000+400+40+700+280+28
= 2448
The answer to this question is C. 17(100)+17(40)+17(4)
The way i got this answer was that i actually have done this question on a test and Was able to get it for you.
What rotation was applied to triangle DEF to create D’E’F’?
Answer:
90 degree Clockwise Rotation
Step-by-step explanation:
Look at the figure and its points. When you rotate the paper clockwise, you will see that D'E'F is in the same position as DEF.
Answer:
90 degree anti-clockwise rotation
Step-by-step explanation:
if you turn the paper anti-clockwise, u can see that DEF is turned into D'E'F.
Need help with number 8 please
Answer:
B
Step-by-step explanation:
5x+2x=7x
4-1=3
The answer is 7x + 3
Line d is parallel to line c in the figure below. Which statements about the figure are true? Select three options.
Answer:
Statements 2, 3 and 4 are true.
Step-by-step explanation:
2. < 1 and < 4 are alternate interior angles.
3. < 3 and < 6 are vertical angles.
4. There are 2 sets of alternate angles so the triangles are similar (< 1 and <4, and <2 and <5).
Line d is parallel to line c in the figure. The Statements 2, 3 and 4 are true.
What are vertical angles?Each of the pairs of opposite angles made by two intersecting lines is called a vertical angle.
Line d is parallel to line c in the figure.
The statements which are true are;
2. Angle 1 and Angle 4 are alternate interior angles.
3. Angle 3 and Angle 6 are vertical angles.
4. There are 2 sets of alternate angles so the triangles are similar.
(Angle 1 and Angle 4, and Angle 2 and Angle 5).
Learn more about angles ;
https://brainly.com/question/14173422
#SPJ2