Answer:
22 + x ≤ 40
x ≤ 18 pounds
Step-by-step explanation:
Maximum weight = 40 pounds
Initial weight = 22 pounds
Let Maximum weight that can be added = x
Mathematically, this means :
Initial weight + additional weight ≤ 40
That is ;
22 + x ≤ 40
Additional weight, x :
x ≤ 40 - 22
x ≤ 18 pounds
Use the long division method to find the result when 6x3 + 10x² + 7x + 2 is
divided by 3x + 2.
Answer:
6x3+10x2+7x+2/3x+2
Step-by-step explanation:
The loudness, L, measured in decibels (Db), of a sound intensity, I, measured in watts per square meter, is defined as L = 10 log StartFraction I Over I 0 EndFraction, where I 0 = 10 Superscript negative 12 and is the least intense sound a human ear can hear. Jessica is listening to soft music at a sound intensity level of 10^-9 on her computer while she does her homework. Braylee is completing her homework while listening to very loud music at a sound intensity level of 10^-3 on her headphones. How many times louder is Braylee’s music than Jessica’s?
Answer:
Braylee’s music is 3 times louder than Jessica's
Step-by-step explanation:
Given
[tex]L = 10\log\frac{I}{I_0}[/tex]
[tex]I_0 = 10^{-12}[/tex]
Required
Number of times Braylee's music is louder than Jessica's
First, we calculate the loudness of Jessica's music.
From the question;
[tex]I = 10^{-9}[/tex]
So, we have:
[tex]L = 10\log\frac{I}{I_0}[/tex]
[tex]L = 10\log\frac{10^{-9}}{10^{-12}}[/tex]
Apply law of indices
[tex]L = 10\log{10^{12-9}}[/tex]
[tex]L = 10\log{10^3[/tex]
Apply law of logarithm
[tex]L = 3*10\log{10[/tex]
[tex]\log10 = 1[/tex]
So:
[tex]L_1 = 3*10*1 = 30[/tex]
First, we calculate the loudness of Braylee's music.
From the question;
[tex]I = 10^{-3}[/tex]
So, we have:
[tex]L = 10\log\frac{I}{I_0}[/tex]
[tex]L = 10\log\frac{10^{-3}}{10^{-12}}[/tex]
Apply law of indices
[tex]L = 10\log{10^{12-3}}[/tex]
[tex]L = 10\log{10^9[/tex]
Apply law of logarithm
[tex]L = 9*10\log{10[/tex]
[tex]L_2 = 9*10*1 = 90[/tex]
At this point, we have:
[tex]L_1 = 30[/tex] --- Jessica's
[tex]L_2 = 90[/tex] --- Braylee's
Divide L2 by L1 to get the required number of times
[tex]n = \frac{L_2}{L_1}[/tex]
[tex]n = \frac{90}{30}[/tex]
[tex]n = 3[/tex]
Answer:
D.
Step-by-step explanation:
|x+7|>3
help me pleaseeee
Answer:
x>-4
Step-by-step explanation:
|x+7| is just x+7
x+7>3
-7 on both sides
x>-4
THIS IS FOR TODAY SOMEONE HELP ME PLS!!!
NO LINKS PLEASE PLEASE
Step-by-step explanation:
Angle M = Angle R
47x - 17 = 32x + 28
15x = 45
x = 3
Angle M = 47(3) - 17 = 124°
Angle R = Angle M = 124°
Angle Q = 180 - Angle M = 56°
Angle N = Angle Q = 56°
Question 6 (4 points)
(07.06)
There are currently 4 people signed up to play on a baseball team. The team must
have at least 9 players.
Which of the following graphs includes the possible values for the number of people
who still need to sign up for the team? (4 points)
1)
-10-9-8-7-6-5-4-3-2-1 0 1 2 3 4 5 6 7 8 9 10
24H
-10-9-8-7-6-5-4-3-2-1 0 1 2 3 4 5 6 7 8 9 10
NE
OHHH
1 2 3 4 5 6 7 8 9 10
-10-9-8-7-6-5
4) st
-10-9-8-7-6-5-4-3-2-1 0 1 2 3 4 5 6 7 8 9 10
The graph of inequality that represents the scenario is graph (b)
The given parameters are:
People signed up = 4
People needed = At least 9
Represent the number of people who are still needed with x.
So, we have the following inequality expression
[tex]x + 4 \ge 9[/tex]
Subtract 4 from both sides
[tex]x \ge 5[/tex]
The above means that, 5 or more people are still needed
The graph of inequality that represents [tex]x \ge 5[/tex] is graph (b)
Read more about inequalities at:
https://brainly.com/question/25275758
Please help with last 2 domain and range
Answer:
See below for answers and explanations
Step-by-step explanation:
Top left: Since y can't be greater than 0 but is equal to 0, then the range is (-∞,0] and the domain is (-∞,∞) since there are no domain restrictions
Top right: Since both x and y have no restrictions, then the domain is (-∞,∞) and the range is (-∞,∞)
Bottom left: Since y cannot be less than 2 but equal to it, and x holds no domain restrictions, then the domain is (-∞,∞) and the range is [2,∞)
Bottom right: Since both x and y have no restrictions, then the domain is (-∞,∞) and the range is (-∞,∞)
A television program asks its viewers to visit a Web site to indicate their preference for two presidential candidates. 76% of the viewers who responded preferred candidate A. In a town of 50,000, how many would you expect to choose candidate A?
What is the surface area of this composite figure?
Answer:
Step-by-step explanation:
What is the volume of this triangular prism
Answer:
hey you are in 9th Or 10th class
ILL MARK BRAINLIEST PLEASE HELP!!!
What is the solution to the equation
х
6
12
O x= 1
O x= 2
O x=8
O x= 4
Answer:
B is your answer
Step-by-step explanation:
Hope it is right.
Help ASAP Please Thank You!
Answer:
Step-by-step explanation:
[tex]\frac{a^{m}}{a^{n}}=a^{m-n}\\\\\\\frac{x^{12}}{x^{10}}=x^{12-10}=x^{2}[/tex]
Please help with this math question
The power generated by an electrical circuit (in watts) as a function of its current ccc (in amperes) is modeled by: P(c)=-20(c-3)^2+180P(c)=−20(c−3) 2 +180
Answer:
The current that produces maximum power is 3A
Step-by-step explanation:
Given
[tex]P(c) = 20(c - 3)^2[/tex]
Required [Missing from the question]
The current that produces maximum power
First, we represent the function in standard form
[tex]P(c) = 20(c - 3)^2[/tex]
[tex]P(c) = 20(c - 3)(c - 3)[/tex]
Open bracket
[tex]P(c) = 20(c^2 -6c+ 9)[/tex]
[tex]P(c) = 20c^2 -120c+ 180[/tex]
The maximum value of c is:
[tex]Max(c) = \frac{-b}{2a}[/tex]
Where:
[tex]f(x) = ax^2 + b^2 + c[/tex]
By comparison: [tex]P(c) = 20c^2 -120c+ 180[/tex]
[tex]a = 20[/tex]
[tex]b = -120[/tex]
[tex]c = 180[/tex]
So, we have:
[tex]Max(c) = \frac{-b}{2a}[/tex]
[tex]Max(c) = \frac{-(-120)}{2 * 20}[/tex]
[tex]Max(c) = \frac{120}{40}[/tex]
[tex]Max(c) = 3[/tex]
a point plotted at 30.05 on a number line which of these describes the location of the point
Answer:
Between 30 and 31
Step-by-step explanation:
The following box plot shows the number of years during which 40 schools have participated in an interschool swimming meet:
A box and whisker plot is drawn using a number line from 0 to 10 with primary markings and labels at 0, 5, 10. In between two primary markings are 4 secondary markings. The box extends from 1 to 6 on the number line. There is a vertical line at 3.5. The whiskers end at 0 and 8. Above the plot is written Duration of Participation. Below the plot is written Years.
At least how many schools have participated for more than 1 year and less than 6 years? (5 points)
a
4 schools
b
8 schools
c
10 schools
d
20 schools

Answer:
i dont knowwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwww
Step-by-step explanation:
Can anyone answer questions 1-9?! I would be so happy!!! I need this before tomorrow at 2:00 (I live in FL)!!! ANYONE?! PLEASE HELP (you can message me too!)
Answer:
Not sure if your teacher would accept the answer for #3 and #6 because of how I rounded up the answer to the semicircles.
hi! please help i’ll give brainliest
Answer:
Third option: Rocks being broken apart
Step-by-step explanation:
Have a good day :)
Answer: rock being broken apart
Step-by-step explanation:
Identify the graphed linear question.
A. y=5x+2
B. y=5x-2
C. y= -5x+2
D. y= -5x-2
Answer:
The answer is: y= -5x-2
Step-by-step explanation:
I hope it help.
Which equivalent expression can be used to solve the quotient 2/3 divided by 4/5
Answer:
5/6
Step-by-step explanation:
Divide it
The equivalent expression can be used to solve the quotient 2/3 divided by 4/5 is 5/6.
What is division?Division is a method of distributing a group of things into equal parts. It is one of the four basic operations of arithmetic, which gives a fair result of sharing.
The equivalent expression that can be used to solve the quotient 2/3 divided by 4/5 is;
[tex]= \dfrac{\dfrac{2}{3}}{\dfrac{4}{5}}\\\\=\dfrac{2}{3} \times \dfrac{5}{4}\\\\=\dfrac{1}{3} \times \dfrac{5}{2}\\\\=\dfrac{5}{6}[/tex]
Hence, the equivalent expression can be used to solve the quotient 2/3 divided by 4/5 is 5/6.
Learn more about division here;
https://brainly.com/question/22850643
#SPJ2
help me and ill give u points (math)
Answer:
64+27=97+X
x =91-97
x=-6
50 points HELP PLEASEEE
We all know how toilet paper has been horded during the pandemic. Your
teacher has cleared out a closet to hoard TP. Using the Fermi process, you need to
estimate the number of rolls of TP she can fit into a rectangular prism section of a
closet with dimensions of 36 in. by 108 in. by 36 in. Measure a roll of TP at your
home, remember it is a cylinder you need its radius and height to calculate its size.
Radius: _________ Height: ____________
About how many rolls of TP can fit into the closet section?
Answer:
radius: 78 height: 92
im so sorry if im wrong! i did math and everything!
Assume the radius is 5 and the height is 4.
We first need to find the volume of both the TP roll and the volume of the closet.
In order to find the volume of the TP roll, we need to use the formula [tex]V[/tex] = [tex]\pi[/tex][tex]r^{2}[/tex][tex]h[/tex] (r meaning radius and h meaning height), so that means we have to do 3.14 × 5 × 5 × 4.
After solving, we get 314 as our answer.
Next we need to find the Volume of the closet by using the formula L × W × H (L meaning Length, W meaning Width, and H meaning height), so that means we have to do 36 × 108 × 36.
We then get 139,968 as our answer.
The last thing we need to do is 139,968 ÷ 314.
The answer we get is 445.
So the answer to this question is: About 445 rolls of TP can fit into the closet.
Select all the
expressions that are equivalent to 4−3.
Answer:
B,C,D are equivalent to 4^-3
Answer:
B and c and D
Step-by-step explanation:
I think that is the right answer
which function rule represents the data in the table?
Answer:
A
Step-by-step explanation:
STAT, EDIT
Determine whether the polygons are similar. If so, write a similarity
statement and give the scale factor. If not, explain.
Answer:
yes, because of the Angle-Angle-Angle theorem
scale factor = 2
Step-by-step explanation:
1. Charles is mixing a 12 ounce can of apple juice
concentrate to make juice. The recipe says:
Mix one can of concentrate with 4 cans of water.
How large a pitcher will she need (answer in ounces)?
How many feet of fencing is needed to enclose a rectangular garden with a 9 foot long side and a 15 foot long diagonal
Answer:
42 ft
Step-by-step explanation:
To find the unknown side:
[tex]\sqrt{15^2-9^2} =12[/tex]
Total perimeter: 2(12 + 9) = 42 ft
Karen is adding a border to a rectangular poster. The border will have a uniform width of X inches and run along all four sides, so Karen uses the functions land wto model the length and width, in inches, of her poster after she adds the border. l(x) = 2x+ 18 W(x) = 2x+ 24 Which function correctly represents the total area, in square inches, of Karen's poster, when a border x inches wide is included in the area?
A. A(X) = 4x + 432
B. A(X) = 4x2 + +42x + 432
C. A(x) = 4x2 + +84x + 432
D. A(x) = 4x + 432
Answer:
B. A(x) = 4x² + 42x + 432Step-by-step explanation:
The area is the product of the width and the length:
A(x) = (2x + 18)(2x + 24) = 4x² + 42x + 432Correct choice is B
Determine the area of the shaded region.
15 m
24 m
10 m
10 m
5 m
5 m
Answer:
230
Step-by-step explanation:
Keisha works as a tutor for $13 an hour and as a waitress for $9 an hour. This month, she worked a combined total of 101 hours at her two jobs. Let t be the number of hours Keisha worked as a tutor this month. Write an expression for the combined total dollar amount she earned this month.
Answer:
Keisha got $2,222 that month
Step-by-step explanation:
Answer:
its 2,222
Step-by-step explanation:
i got it right
According to this diagram, what is cos 16°? 25 90° 24 OA OB. 곪 24 7 OC. OD.
Answer:
None of the listed answers are correct.
cos16º = 24/25
Step-by-step explanation:
cos∅ = adj/hyp
adj = 24
hyp = 25
cos 16º = 24/25