Answer:
Maybe how many people are in the park
For given situation, (e - l)(4) means, there are 92 people in the amusement park 4 hours after the gates open.
What is a function?"It is an expression that defines a relationship between one variable and another variable."
For given example,
the rate at which people enter amusement park is modeled by the function
[tex]e(x) = 0.03x^3 + 2[/tex]
where the rate is measured in hundreds of people per hour since the gates opened.
The rate at which people leave the amusement park is modeled by the function
[tex]l(x) = 0.5x + 1[/tex]
where the rate is measured in hundreds of people per hour since the gates opened.
First we find the subtraction of functions [tex](e-l)(x)[/tex].
[tex]\Rightarrow (e-l)(x)=e(x)-l(x)\\\\\Rightarrow (e-l)(x)=0.03x^3 + 2-(0.5x + 1)\\\\\Rightarrow (e-l)(x)=0.03x^3+2-0.5x-1\\\\\Rightarrow (e-l)(x)=0.03x^3-0.5x+1[/tex]
For x = 4,
[tex]\Rightarrow (e-l)(4)=0.03(4)^3-0.5(4)+1\\\\\Rightarrow \bold{(e-l)(4)=0.92}[/tex]
As, the rate is measured in hundreds of people per hour
So, (e - l)(4) means, there are 92 people in the amusement park 4 hours after the gates open.
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What are the domain and the range of this function?
•< •≤ •-5 •-4 •1 •7
D: ?, ? | X: ?, ?
R: ?, ? | Y: ?, ?
Answer:
The domain is the set of x -coordinates, {0,1,2} , and the range is the set of y -coordinates, {7,8,9,10} . Note that the domain elements 1 and 2 are associated with more than one range elements, so this is not a function.
Step-by-step explanation:
this is an example
HELP ASAP!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
The graph of the equation y = 4x + 8 is shown. Which TWO statements are correct?
es )
A)
The coordinate pair (0, 10) represents a point on the graph and a solution
to the equation.
B)
The coordinate pair (-1, 4) represents a point on the graph and a solution
to the equation.
0
The coordinate pair (-2, 1) represents a point on the graph and a solution
to the equation.
D)
The coordinate pair (-3, 2) represents a point on the graph and a solution
to the equation
E)
The coordinate pair (-4,-8) represents a point on the graph and a solution
to the equation.
The correct statements are:
- The coordinate pair (-2, 1) represents a point on the graph and a solution to the equation.
-The coordinate pair (-4, -8) represents a point on the graph and a solution to the equation.
Options C and E are the correct answer.
We have,
The equation y = 4x + 8 represents a linear relationship between x and y.
To determine which statements are correct, we need to substitute the x-coordinate of each given coordinate pair into the equation and see if it satisfies the equation.
A) The coordinate pair (0, 10)
Substituting x = 0 into the equation: y = 4(0) + 8 = 8
So, (0, 10) does not satisfy the equation.
Statement A is incorrect.
B) The coordinate pair (-1, 4)
Substituting x = -1 into the equation: y = 4(-1) + 8 = 4 + 8 = 12
So, (−1, 4) does not satisfy the equation.
Statement B is incorrect.
C) The coordinate pair (-2, 1)
Substituting x = -2 into the equation: y = 4(-2) + 8 = -8 + 8 = 0
So, (−2, 1) does satisfy the equation.
Statement C is correct.
D) The coordinate pair (-3, 2)
Substituting x = -3 into the equation: y = 4(-3) + 8 = -12 + 8 = -4
So, (−3, 2) does not satisfy the equation.
Statement D is incorrect.
E) The coordinate pair (-4, -8)
Substituting x = -4 into the equation: y = 4(-4) + 8 = -16 + 8 = -8
So, (−4, -8) does satisfy the equation.
Statement E is correct.
Therefore,
The correct statements are:
- The coordinate pair (-2, 1) represents a point on the graph and a solution to the equation.
-The coordinate pair (-4, -8) represents a point on the graph and a solution to the equation.
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If your initial principal is $243 and your principal in 2 years is $1,359.19, how much interest did you earn?
Answer: $1,116.19
Step-by-step explanation:
If you invested $243 and this increased to $1,359.19 in two years, the difference between your investment and its current worth is the interest:
= Current principal - Initial principal
= 1,359.19 - 243
= $1,116.19
A sign on the road says " Speed limit, 60 miles per hour. Let s be the speed of car.Write an inequality that matches the information on the sign
Answer: s ≤ 60
Step-by-step explanation:
The common inequality signs include:
> which is greater than
< which is less than
= which is equal to
≥ which is greater than or equal to
≤ which is less than or equal to
Since the speed limit is 60 miles per hour, it simply means that the speed limit is less than or equal to 60 miles per hour. This will be:
s ≤ 60
The above means the speed is less than or equal to 60 miles per hour
Bobby scores m marks in a test
A. Dan scores two marks less than Bobby. write down an expression for Dan's marks in terms of m
Answer: M-2 or M substracted by 2
Step-by-step explanation:
the radius of the circle is 9 meters what is the circles circumfrence
Answer:
c = 18π exact answer
c = 56.52 decimal approximation
Step-by-step explanation:
c = 2πr
c = 2π * 9
c = 18π exact answer
Using 3.14 for π
c = 18 * 3.14
c = 56.52 decimal approximation
Which of the following are solutions to the equation below?
Check all that apply.
(3x - 5)2 = 19
Answer:
Take the square root of each side of the equation to set up the solution for
x
(
3
x
−
5
)
2
⋅
1
2
=
±
√
19
Remove the perfect root factor
3
x
−
5
under the radical to solve for
x
.
3
x
−
5
=
±
√
19
The complete solution is the result of both the positive and negative portions of the solution.
Tap for more steps...
x
=
√
19
3
+
5
3
,
−
√
19
3
+
5
3
The result can be shown in multiple forms.
Exact Form:
x
=
√
19
3
+
5
3
,
−
√
19
3
+
5
3
Decimal Form:
x
=
3.11963298
…
,
0.21370035
…
The solutions of the of the equation are,
⇒ x = 3.12
⇒ x = 0.21
What is an expression?Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
We have to given that;
The expression is,
⇒ (3x - 5)² = 19
Now,
We can simplify the expression for the solutions as;
⇒ (3x - 5)² = 19
Take square root both side,
⇒ √(3x - 5)² = √19
⇒ (3x - 5) = √19
Add 5 both side,
⇒ 3x - 5 + 5 = √19 + 5
⇒ 3x = √19 + 5
⇒ 3x = ± 4.36 + 5
⇒ 3x = 4.56 + 5
⇒ 3x = 9.36
Divide by 3;
⇒ x = 9.36 / 3
⇒ x = 3.12
And, 3x = - 4.56 + 5
3x = 0.64
x = 0.64/3
x = 0.21
Thus, The solutions of the of the equation are,
⇒ x = 3.12
⇒ x = 0.21
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Each envelope in the class contains the same number of triangles and quadrilaterals. Write an expression that
represents the total number of sides in the room.
Answer: 3t+4q.
Step-by-step explanation: Triangles have 3 sides, so there will be 3 sides for each triangle in the envelope. This is represented by 3t. Quadrilaterals have 4 sides, so there will be 4 sides for each quadrilateral in the envelope. This is represented by 4q. The total number of sides will be the number of triangle sides and the number of quadrilateral sides together.
help please I’ll mark brainliest
Answer:
a. east
b. 60 feet per second
Step-by-step explanation:
did this a while ago.
a. -180 is east, 120 is east. the car is traveling east because it is moving positive. read the last sentence of the description.
b. to calculate velocity you do time times position. in this case position is 60 and time is 1 so 60*1 is 60. so it is 60 feet per second.
A group of 3 friends are splitting fruit salad at a picnic. If each person gets 11 pieces, how many total pieces of fruit are there?
Answer:
33 Pieces total
Step-by-step explanation:
Given an arithmetic sequence described by the formula a= -2(n - 1) + 7 find a^28
Answer:
-47
Step-by-step explanation:
Given the arithmetic sequence described by the formula;
a= -2(n - 1) + 7
To get a28, we will substitute n = 28 into the expression
a28 = -2(28-1)+7
a28 = -2(27)+7
a28 = -54+7
a28 = -47
Hence a28 is -47
Several different cheeses are for sale. The cheese comes in wedges shaped like sectors of a circle. All of the wedges are the same height.
Mai bought a wedge with a central angle of 60 degrees and radius 8 centimeters. What is the area of the top surface of this wedge? Leave your answer in terms of pi.
Explain or show how you got your answer.
Answer:
1/3 x 8^2×pi(3.14)
Step-by-step explanation:
1/3 × 64 × 3.14
[tex]21 \frac{1}{3} \pi[/tex]
What is the slope of the straight line that goes
through (5, 4) and (9, 2) ?
Answer:
[tex] - \frac {1}{2} [/tex]
Step-by-step explanation:
Slope of the line
[tex] = \frac{4 - 2}{5 - 9} \\ \\ = \frac{2}{ - 4} \\ \\ = - \frac{1}{2} [/tex]
Solve the following system of equations graphically on the set of axes below. Y=-1/2x +1 and y=x-5
Answer:
-1/2x+1=x-5
x=4
y=-4/2+1
y=-2+1
y=-1
(x,y)=(4,-1)
The graph shows the amount of money in Craig's savings account cover a period of 20 months. What is the average amount of increase per month in Craig's savings account between months 5 and 10
Answer:
D. $350
Step-by-step explanation:
On the 5th month, he has $500, on the 10th month, he has $850. Subtract $500 from $850 to get the average on $350
Answer:
should be about 350 I think I did this problem before sooo
Step-by-step explanation:
I'm not good at explaining
Brainist to who answers this!
Answer:
13t² + 2t + 9
Step-by-step explanation:
(9t² - 3t + 5) - (-4t² + 5t + 4)
Solving like terms
-(-4t²) becomes + 4t²
(9t² + 4t²) + (-3t + 5t) + (5+4) =
13t² + 2t + 9
If my answer is incorrect, pls correct me!
If you like my answer and explanation, mark me as brainliest!
-Chetan K
(7x+4) (5x-16) (6y-4) find the value of x and y.
Answer:
hgggggggggggggggggggggggggggggggggjkghjgjkkkkkkkkkkkkkkkkkkkkkkkkkkkkk
Step-by-step explanation:
PLZ HELP!!!
if p = -1,-1 find the image of p under the following rotation 270 counterclockwise
Answer: -1, 1
Step-by-step explanation:
The other answer is valid.
How many reflectional symmetries does this figure have?
Enter your answer in the box.
_ reflectional symmetries
How many rational symmetries does this figure have?
Enter your answer in the box.
_ rotational symmetries
Answer:
1 & 1
Step-by-step explanation:
please help ASAP! (18 points! Thanks in advanced!)
5/8 + 3/4 divided by -2/3 - 5/6
Answer:
11/12
Step-by-step explanation:
jada and diego are practing the piano for sn upcoming rehersal the table list the number of minutes each of them practiced in the past few weeks jadas practice time 10 10 20 15 25 25 8 15 20 20 35 25 40. Diegos practice time 25 10 15 30 15 20 20 25 30 45. plz help
Answer:
jadas practice time is 168 minutes or 2 hours 48 minutes. Diegos practice time is 235 minutes or 3 hours 55minutes hope this helps! have a nice day and good luck with your test!
Step-by-step explanation:
can i have help please i don't know the answer
Answer: 1.75=5n
Step-by-step explanation:
1.75 is being divided by n 5 times
Please I need help ASAP! I don't know any of the answers. For the second question, I accidentally clicked on it.
Pls, help me with this math question
Answer:
Perimeter [tex]\sqrt{26}+\sqrt{5}+\sqrt{10}+\sqrt{17}[/tex] units. Area 12 square units.
Step-by-step explanation:
Perimeter: total distance around the figure.
Distance Formula: the distance between points [tex]\left(x_1,y_1\right) \text{ and } \left(x_2,y_2\right)[/tex] is
[tex]d=\sqrt{\left(x_2-x_1\right)^2+\left(y_2-y_1\right)^2}[/tex]
[tex]AB=\sqrt{(6-1)^2+(2-1)^2}=\sqrt{25+1}=\sqrt{26}[/tex]
[tex]BC=\sqrt{(5-6)^2+(4-2)^2}=\sqrt{1+4}=\sqrt{5}[/tex][tex]CD=\sqrt{(2-5)^2+(5-4)^2}=\sqrt{9+1}=\sqrt{10}[/tex][tex]DA=\sqrt{(1-2)^2+(1-5)^2}=\sqrt{1+16}=\sqrt{17}[/tex]
The perimeter is the sum of all those segment lengths.
One way to find the area of the figure is to surround it with a rectangle, insert some lines so that the areas you do not want can be found and subtracted from the rectangle's area. (See attached image.)
The area of the large rectangle around the figure is 5 x 4 = 20 square units.
The triangles have areas 1/2 (base) (height):
A. (1/2)(1)(4) = 2 square units
B. (1/2)(3)(1) = 1.5 square units
D. (1/2)(1)(2) = 1 square unit
E. (1/2)(5)(1) = 2.5 square units
Square C. (1)(1) = 1 square unit
Total of all the area you don't want to include:
2 + 1.5 + 1 + 2.5 + 1 = 8 square units
Subtract 8 from the surrounding rectangle's area of 20, and you get the area of the figure is 20 - 8 = 12 square units.
please help me answer the question
4 2/3 divided by 1/2 = what plsssss helppp
Answer:
8.66
Step-by-step explanation:
Answer:
28/3
Step-by-step explanation:
Dividing a fraction is the same as multiplying it by the reciprocal.
First, convert 4 and 2/3 to an improper fraction.
You get 14/3. Multiply that by the reciprocal of 1/2 (2/1) to get your answer.
14/3 * 2/1 = 28/3
If a rectangle has its length 8cm and breadth 6cm find length of diagonal
Answer:
the length of the diagonal is 10cm
Step-by-step explanation:
C²=8²+6²
C²= 64+36
C²=100
√C²=√100
C=10cm
find the slope (3,-6)(-1,4)
Answer:
slope is -5\2
Step-by-step explanation:
use the point point slope formula
plz help ill give brainliest and dont put links or else im going to report you
Answer:*putting link*
Step-by-step explanation:
Answer:
I think it is 256.
Step-by-step explanation:
32 x 8 = 256
Hope this helps!!!:)