Graph the solution to this inequality on the number line. −18 ≤−3p
Answers
The solution to the inequality −18 ≤−3p, is shown in the graph in the attachment which is p ≤ 6.
How to Graph the Solution to an Inequality?To graph the solution of a given inequality, we have to first solve the inequality to determine what the solution will be.
Given the inequality, -18 ≤ -3p, solve to find p:
-18 ≤ -3p
Divide both sides by -3
-18/-3 ≥ -3p/-3 [the sign will change because we're dividing by a negative value]
6 ≥ p
It can be rewritten as p ≤ 6. The graph of this solution is a number line having a closed circle on point 6 that points towards the left.
See the diagram in the attachment which shows the solution of the inequality.
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Related Questions
An initial sample of 171 g of a radioactive substance decays according to the function
A(t) = 171e ^ - 0.04(t) where t is given in years?
a) How many grams of the substance will remain after 59 years? Round your answer to the nearest decimal place.
b) What is the half-life of the substance? Round answer to the one decimal place.
Answers
There will be 0.48 grams will be left in the sample after 59 years.
What is a function?Function is a type of relation, or rule, that maps one input to specific single output.
Since we have given that initial sample of 171 g of a radioactive substance decays according to the function
[tex]A(t) = 171e ^ {- 0.04(t) }[/tex]where t is given in years
Here, Initial amount of radioactive substance = 171 grams
We need to find the amount of substance that will be left in the sample after 59 years.
So, t = 59 years
So, it becomes,
[tex]A(t) = 171e ^ {- 0.04(59) }\\\\A(t) = 0.48[/tex]
Hence, there will be 0.48 grams will be left in the sample after 59 years.
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200(x-.3)=600 What is the value of X
Answers
Answer: X= 3.3 or x= 33/10
Hope this helps!
what is the slope of y – 5 = –4x,
3y – 9 = –6x
Answers
Answer: -4,-2
Step-by-step explanation:
(i)Take y-5=-4x
Make y as subject of formula i.e. y=-4x+5
Now compare it with y=mx+c
Then Slope m=-4
(ii) 3y-9=-6x
Making y as subject of formula i.e. 3y=-6x+9
Divide through by 3
then it will become y=-2x+3
Now comparing it with y=mx+c
then Slope m=-2
Round each fraction to 0,1/2, or 1…… 7/12 5/6 2/11 4/9
Answers
Answer:
1/2, 1, 0, 1/2
Step-by-step explanation:
We can solve this by rounding each fraction to either 0, 1/2, or 1.
The first fraction, 7/12, is pretty close to 6/12, which is 1/2 of 12.
So we can round this to 1/2.
The second fraction, 5/6, is closer to 6/6 (1) than 3/6 (1/2).
So we can round this to 1.
The third fraction, 2/11 is closer to 0 than 5.5/11 (1/2).
We can round this to 0.
4/9 is closer to 4.5/9 (1/2) than 0.
We can round this to 1/2.
Therefore, when we round all of these fractions, we are left with 1/2, 1, 0, 1/2.
According to Newton's Law of Cooling, if a body with temperature T₁ is placed in surroundings with temperature To, different
from that of T₁, the body will either cool or warm to temperature T(t) after t minutes, where T(t) = To + (T₁-To)ekt
A metal pan with temperature 120°F is placed in a freezer with temperature 0°F. After 5 minutes, the temperature of the pan
is 80°F. Use Newton's Law of Cooling to find the pan's temperature after 15 minutes.
After 15 minutes the pan will have a temperature of °F.
(Round to the nearest integer.)
Answers
After 15 minutes the pan will have a temperature of 36°F
How to determine the temperature of the pan after 15 minutes?
Newton's Law of Cooling, if a body with temperature T₁ is placed in surroundings with temperature To, different from that of T₁, the body will either cool or warm to temperature T(t) after t minutes, where T(t) = T₀ + (T₁-T₀)e^(kt)
Given: T₁ = 120°F, T₀ = 0°F. After 5 minutes, T(t) = 80°F
T(t) = T₀ + (T₁-T₀)e^(kt)
80 = 0 + (120-0)e^(5k)
80 = 120e^5k
e^5k = 80/120
e^5k = 2/3
5k = ln(2/3)
k = ln(2/3) / 5
k = -0.0811
The temperature of the pan after 15 minutes will be:
T(t) = T₀ + (T₁-T₀)e^(kt)
T(15) = 0 + (120-0)e^(-0.0811×15)
T(15) = 120e^(-0.0811×15)
T(15) = 36°F
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Isaac is going to a carnival that has games and rides. Each game costs $1.50 and each ride costs $5. Isaac spent $44.50 altogether at the carnival and the number of rides he went on is 5 more than the number of games he played. Determine the number of games Isaac played and the number of rides Isaac went on.
Answers
Answer:
g-games
r-rides
1.5 g + 2.5r= 16.5
g=2r
Step-by-step explanation:
g: # of games played
r: # of rides ridden
total amount spent: 1.50g + 2.50r = 16.50
relationship of games to rides: g = 2r
Hope this helped! :D
An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.
The number of games is 3.
The number of rides is 8.
What is an expression?An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.
Example: 2 + 3x + 4y = 7 is an expression.
We have,
Number of rides = m + 5
Number of games = m
Now,
Each game costs $1.50 and each ride costs $5. Isaac spent $44.50 altogether at the carnival.
This means,
1.50m + 5(m + 5) = 44.50
1.50m + 5m + 25 = 44.50
6.50m = 44.50 - 25
m = 19.5/6.50
m = 3
Now,
The number of games = 3.
The number of rides.
= m + 5
= 3 + 5
= 8
Thus,
The number of games is 3.
The number of rides is 8.
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Apex Motors manufactures luxury cars and sport-utility vehicles. The most likely customers are high-income men and women, and company managers want to initiate an advertising campaign targeting these groups. They plan to run 1-minute spots on business/investment programs, where they can reach 7 million women and 4 million men from their target groups. They also plan 1-minute spots during sporting events, where they can reach 2 million women and 12 million men from their target groups. Apex feels that the ads must reach at least 37 million women and at least 32 million men who are prospective customers. (a) Write the inequalities that describe the constraints on the number of each type of 1-minute spots needed to reach these target groups. (Let x represent minutes of business/investment program ads, and let y represent minutes of sporting events ads.)
Answers
The constraints that describe the system of inequalities in this problem are given as follows:
7x + 2y ≥ 37.4x + 12y ≥ 32.How to obtain the constraints?The first step toward obtaining the constraints is defining the variables, as follows:
Variable x: minutes of business/investment program ads.Variable y: minutes of sporting events ads.Apex feels that the ads must reach at least 37 million women, hence, for the amounts of each event, the constraint is given as follows:
7x + 2y ≥ 37.
They also want to reach at least 32 million men, hence the constraint is given as follows:
4x + 12y ≥ 32.
The reaches are already given in millions of people, hence the millions don't need to be inserted into the equations.
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8 - 90 + 2x = 36
What will this. I need help
Answers
Answer: x = 59
Step-by-step explanation:
i dont know what you are trying to figure out but x = 59 im guessing u need
Answer:
Step-by-step explanation:
First, add
90
and subtract
2
x
from each side of the equation to isolate the
x
term while keeping the equation balanced:
8
x
−
90
+
90
−
2
x
=
2
x
−
36
+
90
−
2
x
8
x
−
2
x
−
90
+
90
=
2
x
−
2
x
−
36
+
90
(
8
−
2
)
x
−
0
=
0
+
54
6
x
=
54
Now, divide each side of the equation by
6
to solve for
x
while keeping the equation balanced:
6
x
6
=
54
6
6
x
6
=
9
x
=
9
Find the slope of the line that passes through all of the points
on the table.
Someone help I’ll give brainliest
Answers
Answer:
9
Step-by-step explanation:
Slope is rise over run, and we can see on the char that every time the x-value increases by 1, the y-value increases by 9, so the slope is 9/1, or 9.
Determine whether the point is on the graph of the equation 2x + 7y =13 (3,1) yes or no
Answers
Step-by-step explanation:
i think its no, but im not sure.
Find [tex] \frac{dy}{dx} [/tex] if [tex]x = a( \theta - \sin \theta)[/tex], [tex]y = a(1 + \cos \theta)[/tex] Or Prove that [tex] \frac{dy}{dx} = - \cot (\frac{ \theta}{2} )[/tex]
Answers
Hope this answer helps you
If you invest $5400 in a savings account at 5.8%,
how much interest will you earn is 6 years?
Answers
Answer:
116.64
Step-by-step explanatio hope this helps
From Rome, Paul planned to visit _____.
Macedonia
Spain
Corinth
Answers
Answer: Spain
After Rome, St.Paul wanted to go to Spain.
Step-by-step explanation:
Paul planned to visit Macedonia
2x+3y=6
−4x+3y=12
Answers
The best way to start off this question is to get rid of the y value as the y value is already equal in both equations. T[tex]-1[/tex]o get rid of the y value, subtract the 2 equations together.
[tex]6x=-6[/tex]
[tex]x=-1[/tex]
Now that you have solved x, you can replace any x value (from either equation). In this scenario, the first equation is easier to solve for the y value.
[tex]2(-1)+3y=6\\-2+3y=6\\3y=8\\y=\frac{8}{3}[/tex]
Thus,
x = [tex]-1[/tex] and y = [tex]\frac{8}{3}[/tex]; [tex](-1,\frac{8}{3} )[/tex]
Hope this helped :)
I got it wrong but SOS
Answers
well, the wording is
"the yards from their goal line as a function of the number of plays"
the number of plays is the independent variable, meaning the dependent variable is the number of yards, hmmm so they're about to start their play on the 5-yard line, meaning the number of plays at this point is 0, zilch, then they move on each 3 plays by 10 yards, so let's make a table
[tex]\begin{array}{ccll} Plays&Yards\\ \cline{1-2} 0&5\\ 3&\underset{5+10}{15} \end{array}\hspace{5em} (\stackrel{x_1}{0}~,~\stackrel{y_1}{5})\qquad (\stackrel{x_2}{3}~,~\stackrel{y_2}{15}) \\\\\\ \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{15}-\stackrel{y1}{5}}}{\underset{run} {\underset{x_2}{3}-\underset{x_1}{0}}} \implies \cfrac{10 }{ 3 }[/tex]
[tex]\begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{5}=\stackrel{m}{ \cfrac{10 }{ 3 }}(x-\stackrel{x_1}{0})\implies y-5=\cfrac{10}{3}x[/tex]
oddly enough, looks like yours :)
WORK OUT ASAP PLEASE
The diagram shows a right-angled triangle.
80%
10cm
Х°
21cm
Find the size of angle x.
Give your answer correct to 1 decimal place.
Answers
Answer:
x° ≈ 25.5°
Step-by-step explanation:
The relationship between the two given sides and angle x are Opposite and Adjacent. So we'll use tan(x) = 10/21 to start.
Take the Inverse tan (tan⁻¹) to find x: x = tan⁻¹(10/21) ==> calculator
Answer:
x = 25.5°
Step-by-step explanation:
First find the hypotenuse of the right triangle given by the formula
[tex]c = \sqrt{a^{2} + b^{2}}[/tex]
where c is the hypotenuse and a, b the two sides
Let's call the vertical leg as a and the horizontal leg as b
Then we have a = 10, b = 21
So
[tex]c = \sqrt{10^{2} + 21^{2}}\\\\c = \sqrt{100 + 441}\\\\c = \sqrt{541}\\\\c = 23.2594\\\\\\[/tex]
By the law of sines, the ratios of the sides of a triangle to the sine of the angles opposite must be the same. The hypotenuse is opposite the 90° angle. and the side of length 10 is opposite angle x
So
[tex]\dfrac{23.2594}{\sin 90} = \dfrac{10}{\sin x}[/tex]
But sin 90 = 1. So the above equation reduces to
[tex]2.2594 = \dfrac{10}{\sin x}\\\\\\\implies \sin x = \dfrac{10}{23.2594}\\\\\implies \sin x = 0.43\\\\\\\\x = sin ^{-1}(0.43) = 25.4675\\\\[/tex]
Rounded to 1 decimal place
x = 25.5°
A local charity sells a total of 460 tickets to a golf tournament fundraiser. A member ticket costs $50. A non-member ticket costs $65. How many non-member tickets were sold if the total ticket sales are $24,065?
A4
B 65 C 71 D 389
Answers
Answer:
C (71)
Step-by-step explanation:
Hi there! I am very happy to answer your question!
[tex]65x+23000-50x=24065[/tex]
[tex]15x+23000=24065[/tex]
[tex]15x=24065-23000[/tex]
[tex]15x=1065\\[/tex]
[tex]x=\frac{1065}{15}[/tex]
[tex]x=71[/tex]
y = x² - x - 22
y = x - 7
Answers
Answer: Solve for the first variable in one of the equations, then substitute the result into the other equation.
Point Form:
(5,−2),(−3,−10)
Equation Form:
x=5,y=−2x=5,y=-2
x=−3,y=−10x=-3,y=-10
Maybe want something different then here:
X intercepts- (7,0)
Y intercepts- (0, -7)
100 points
How many males are currently not enrolled in Composition 1?
35
46
89
124
Answers
Answer:
A) 35---------------------
Use the given values in the table and find the missing ones.
The first two rows add up to the last row and same for the columns.
1) Find the Row total for Males:
251 - 127 = 1242) Find the number of Males not enrolled in Composition 1:
124 - 89 = 35Correct choice is A.
The formula for the perimeter of a rectangle is P = 2l + 2w. Solve the
formula for w in terms of P and l.
Answers
Answer:
P-2l/2=w
Step-by-step explanation:
P = 21 + 2w
Solve for w
Subtract 21 from both sides.
P - 21 = 2w
Divide both sides by 2.
P-21/2 = w
If a person travels 440 meters in 11 seconds, what is the average speed of the person?
Answers
Step-by-step explanation:
speed=distance÷time
A.V.S=440÷11=40m/s
hope it helps.. Please mark brainliest.
Answer:
40 m/s
Step-by-step explanation:
Find:
We are asked to find the unit rate, How many meters per 1 second?
Know:
440 meters in 11 seconds
Solve:
440 meters in 11 seconds
? meters in 1 second
440/11 = 40 meters per second
Answer:
The average speed of the person is 40 m/s
If this net were to be folded into a
cube, which number would be
opposite of the number 1?
i need the answer please
Answers
Answer:
5
Step-by-step explanation:
The squares with 2, 6, 4, 3 will be all the left, front, right, back sides. The 1 and 5 will flap up/down to be the top and bottom. So 1 and 5 will be opposite from each other.
Rodrigo pays $165.40 per month on his car loan.
How much does he pay on his loan in 1 year?
Answers
Answer:
$1984.80
Step-by-step explanation:
165.40 times 12 equals 1984.80
Answer:
He pays $1984.80 on his loan in one year.
Step-by-step explanation:
If he pays 165.40 per month, and there are 12 months in one year, then we must multiply the values together.
165.4*12 = 1984.8
He pays $1984.80 on his loan in one year.
PLEASE HELP!! THIS IS DUE TODAY!
Estimate the quotient.
3,411 divided by 53
The estimate is: ___
Answers
The quotient of the given expression is 68.
What is the quotient?
A quotient in mathematics is the amount created by dividing two numbers. The term "quotient" is used frequently in mathematics and is sometimes known as the integer portion of a division, a fraction, or a ratio.
For the given problem,
To find out the estimation of the quotient, we first round the dividend and the divisor to the closest tens, hundreds, or thousands, and then divide the rounded figures to approximate the quotient.
Given, 3411 divided by 53
So, the rounding value becomes 3400 divided by 50,
then, 3400/50 = 68
Hence, the quotient is 68.
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PLS HELP IF I GET AN 80 OR HIGHER I GET A DOG!! ILL GIVe BRAINLIEST
Answers
Answer:
-14
Step-by-step explanation:
x = 98
x = -7x
98/-7 = -14
x = -14
If it is correct, can you please give me a brainliest? Thank you!
Can you guys please help?
A science fair has 405 projects. The coordinator displays the projects in rows of 42. How many rows have exactly 42 projects?
I really do not understand this. It would really help me if after you have answered the question, you could explain how you got that answer. Thank you!
Answers
Total 9 rows will have exactly 42 projects.
What are the fundamental mathematical operations?The Fundamental mathematical operation are Addition,Subtraction
Multiplication and Division.
Given,
The total number projects in the science fair is 405.
The coordinator displays the projects in rows of 42.
To know the exact number of rows having 42 projects
we will divide total project by 42 i.e; 405/42.
The quotient will be the number of row exactly having 42 projects
and the last row will contain less than 42 projects which is remainder.
i.e; Dividing 405 by 42
quotient will be 9.
remainder will be 27.
So,Total 9 rows will have exactly 42 projects.
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Which of the following expressions has a value of 3? Select all that apply.
-6 ÷ -2
4 - (-1)
(-1)(-3)
(-2) - 1
15 ÷ -5
4 + 1
asap on a quiz
Answers
Answer: -6 ÷ -2 , (-1)(-3) , and 4 + 1
Step-by-step explanation:
I need help with this please help me
Answers
Answer: 67.38
Step-by-step explanation:
Assuming that [tex]\triangle ACD \cong \triangle BCD[/tex], [tex]m\angle BCD=\frac{134.76^{\circ}}{2}=67.38^{\circ}[/tex] by CPCTC.
What expression represents the verbal phrase? 450 minus the quantity three-tenths times a number x
Answers
Answer:
Step-by-step explanation:
Answer: "450" - "0.3" x
Step-by-step explanation: the quantity of 3 tenths is 3/10, or in other words, 0.3 because 3 divided by 10 is 0.3
Furthermore, "times a number x" just means " [tex]\frac{3}{10}x[/tex]
1/2-(-5/6) answer please
Answers
Answer:
Your answer is [tex]1\frac{1}{3}[/tex]
Step-by-step explanation:
(attached)
Answer:
[tex]1 \frac{1}{3}[/tex] or 4/3 or 1.3333...
Step-by-step explanation:
1/2--5/6
When you subtract a negative, it is the same as adding a positive. 1/2+5/6
Create like denominators:
3/6+5/6
Simplify:
8/6
1 1/3 or 1.3333...
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