Graph the inequality on the axes.
y < 3x - 7
Answers
Answer:
Step-by-step explanation:
make the inequality y=3x-7 to get the linear line then find x=0 with is -7 and anything below that line or on the line is not part of the inequality therefore remember to graph with a dotted line instead of a solid.
Related Questions
Amy says “to find 50x20,I multiply 5x2 and then place the total number of zeros in both factors at the end.Do you agree?Explain
Answers
Answer:
Yes, because 50x20= 5x10x2x10= (5x2)x(10x10)
So you can multiply 5x2 first and than add the zeros
at 12 noon the count in a bacteria culture was 400; at 3:00 pm the count was 1200. let p(t) denote the bacteria count at time t and assume that the culture obeys the population growth law. what was the bacteria count at 9 am, rounded off to the nearest bacterium?
Answers
At 12 noon the count in a bacteria culture was 400, at 3:00 pm the count was 1200. The bacteria count at 9 am, rounded off to the nearest bacterium, was 255.
The problem involves finding the bacteria count at 9 am, given the counts at 12 noon and 3 pm, and assuming that the bacteria culture obeys the population growth law.
To solve the problem, we use the population growth law, which states that the rate of growth of a population is proportional to the size of the population at any given time. This can be expressed as a differential equation, and its solution gives the population as a function of time.
Assuming the bacteria culture grows exponentially between 9 am and 3 pm, we can use the population growth law to find the bacteria count at 9 am. Let the initial count at 9 am be denoted by P, and let the growth rate be denoted by r.
Then we have:
P * (1 + r)^3 = 1200
Solving for P, we get:
P = 1200 / (1 + r)^3
Similarly, assuming the bacteria culture grows exponentially between 12 noon and 3 pm, we have:
400 * (1 + r)^3 = 1200
Solving for r, we get:
r = (1200/400)^(1/3) - 1
Plugging this value of r into the equation for P, we get:
P = 1200 / (1 + (1200/400)^(1/3) - 1)^3
Using a calculator, we get:
P ≈ 255
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3 added to 5 is the same as 3 more than 5. True or false
Answers
"3 added to 5 is the same as 3 more than 5", this statement is true. The statement "3 added to 5 is the same as 3 more than 5" means that the expression "3 added to 5" is equal to the expression "3 more than 5".
Another way to express the equality of two mathematical expressions is "3 added to 5 is the same as 3 more than 5".
"3 added to 5" is equivalent to the sum "3 + 5", which equals 8.
"3 more than 5" can be written as "5 + 3," which equals 8 as well.
Because both expressions have the same value of 8, the statement "3 plus 5 equals 3 more than 5" is correct.
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suppose that your boss must choose five employees in your office to attend a conference in jamaica. because all 15 of you want to go, he decides that the only fair way is to draw names out of a hat. what is the probability that you, diana, kyle, nancy, and arthur are chosen? enter a fraction or round your answer to 4 decimal places, if necessary.
Answers
There are 15 employees in the office and 5 need to be chosen, so there are a total of (15 choose 5) possible ways to select the employees. This can be calculated using the formula for combinations:
(15 choose 5) = 15! / (5! * 10!) = 3003
Now, we need to find the number of ways that the specific group of you, Diana, Kyle, Nancy, and Arthur can be chosen. This is simply (5 choose 5), since we want to choose all 5 members of the group.
(5 choose 5) = 5! / (5! * 0!) = 1
Therefore, the probability of this specific group being chosen is:
(5 choose 5) / (15 choose 5) = 1 / 3003 ≈ 0.0003
So the probability of you, Diana, Kyle, Nancy, and Arthur being chosen is very low, at approximately 0.0003 or 3 in 10,000. This is because there are many other possible groups of 5 employees that could be chosen from the pool of 15, and all of these groups have an equal chance of being selected.
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Find the perimeter and area of the triangle.
Answers
Answer: Perimeter: [tex]10mn^2+4m^2[/tex]; Area : [tex]6m^3n^2[/tex]
Step-by-step explanation: For Perimeter add like terms 7mn^2 and 3mn^2 add but 4 m^2 isolates. For area multiply 3 mn^2 and 4m^2 to get 12 m^3n^2 and then divide by 2 because it is right triangle.
The bike has 3 sprockets on the front and 7 sprockets on the cogset at the rear of the bike. How many gears does the bike have
Answers
The bike has 21 gears, 3 on the front and 7 on the rear cogset, giving a total of 21 average possible gear combinations.
The bike has 3 sprockets on the front and 7 sprockets on the cogset at the rear of the bike. This combination of 3 sprockets on the front and 7 on the rear creates a total of 21 possible gear combinations. This is calculated by multiplying the number of sprockets on the front by the number of sprockets on the rear. When you change the gear on the bike, you are changing the combination of the front and rear sprockets. By doing this, you can adjust the gearing of the bike to make it easier or harder to pedal depending on the terrain. Having a wide range of gears helps you to climb hills, accelerate and maintain speed on flat roads, as well as descend hills. Having 21 gears gives you a lot of options to make your ride as comfortable and efficient as possible.
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Find the value of X:
A. 24
B. 48
C. 40
D. 960
Answers
Answer:
B
Step-by-step explanation:
given a line parallel to a side of a triangle and intersecting the other 2 sides, then it divides those sides proportionally , that is
[tex]\frac{32}{x}[/tex] = [tex]\frac{20}{30}[/tex] = [tex]\frac{2}{3}[/tex] ( cross- multiply )
2x = 3 × 32 = 96 ( divide both sides by 2 )
x = 48
A group of students atten a math club. Half of them students are boys 4/9 of them boys have brown eyes
Answers
The fraction of the group are boys with brown eyes with total group of students who attend the math club is equals to the 2/9.
Let us assume that total number of students who attend the math club be 'x'. Now, according to problem, half of students who attend the math are boys. So, boys students out of total students who attend the math club, B = ( 1/2)x --(1)
Also, 4/9 of them boys have brown eyes. That is the boys students have brown eyes out of boys students who attend the math club, E = 4/9 of B
=> (4/9)B --(2)
We have to determine the relationship between boys with brown eyes (E) and the group of students (x). so, let's replace B in second equation with the expression present in eqution (1).
=> E = (4/9)(x/2)
For simplification, multiply the two fractions, that denominator with denominator and numerator with numerator.
=> E = 4x/18
For further simplification, simply dividing both the numerator and denominator by their common factor, ( 4, 18 ) = 2,
=> E = 2x/9
so, the required relationship between E and x is 2/9. Hence, required value is 2/9.
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Complete question :
a group of students attend a math club half the students are boys and 4/9 of the boys have brown eyes what fraction of the group are boys with brown eyes.
HELP..
Which of the following tables represents a linear function?
Answers
Out of three tables given, only second table ( when we take the order from top to bottom )satisfies this.
What is a linear equation?
A linear equation is an equation in which each term has at max one degree. Linear equations in variables x and y can be written in the form
y = mx + c
Linear equation with two variables, when graphed on the cartesian plane with axes of those variables, give a straight line.
Given are three tables in x and y and we have to find which table shows a linear relation.
We know in a linear relation between x and y the graph would be a straight line and also the slope would be constant
i.e. change of y/change of x for any pair in the table would be a constant.
Out of three tables given, only second table ( when we take the order from top to bottom )satisfies this.
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Which one of the following best defines the notion of the significance level of a hypothesis test?
Answers
The probability of committing type 1 error best describes notion of significance level of hypothesis test.
What is probability?
Probability is a mathematical concept used to measure the likelihood or chance of an event occurring. It is expressed as number between 0 and 1, where 0 represents an impossible event, and 1 represents certain event. The probability of an event is calculated by dividing number of favorable outcomes by total number of possible outcomes. Probability is used in various fields, including statistics, economics, finance, and science. It is used to make predictions, assess risk, and make informed decisions. Probability theory helps to explain random phenomena, such as the outcomes of a coin toss or the probability of a disease occurring in a population.
Complete Question:
Which one of the following best describes the notion of the significance level of a hypothesis test?
i) the probability of committing a type 1 error
ii) the probability of committing a type 2 error
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A point at (-4, 7) is rotated -90° about the origin. What are the new coordinates for the point?
Answers:
(4, -7)
(-7, 4)
(7, 4)
(-4, -7)
Answers
I hope im correct
in a normal distribution with a mean of 90 and a standard deviation of 5, which of the following scores lie within one standard deviation of the mean? select one: a. 5-90 b. 80-100. c. 85-95. d. 90-95.
Answers
The range of 85-95 is within one standard deviation of the mean in a normal distribution with a mean of 90 and a standard deviation of 5,the correct answer is c. 85-95.
The normal distribution is a bell-shaped curve that is centered around the mean and symmetrical about the mean. In a normal distribution with a mean of 90 and a standard deviation of 5, one standard deviation of the mean would be 85-95. This means that any score within this range is within one standard deviation of the mean.
To calculate this, we first look at the mean, which is 90. To find the value of one standard deviation from the mean, we need to subtract 5 from 90 to get 85. To find the upper limit of one standard deviation, we add 5 to 90 to get 95. Therefore, any score between 85 and 95 is within one standard deviation of the mean.
To summarize, any score within the range of 85-95 is within one standard deviation of the mean in a normal distribution with a mean of 90 and a standard deviation of 5. Therefore, the correct answer is c. 85-95.
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The first three terms of a sequence are given. Round to the nearest thousandth (if
necessary).
11, 20, 29, ...
Find the 43rd term.
Answers
The given sequence appears to be an arithmetic sequence, as the difference between consecutive terms is 9. To find the 43rd term, we can use the formula for the nth term of an arithmetic sequence:
a_n = a_1 + (n - 1)d
where a_n is the nth term, a_1 is the first term (11 in this case), n is the term number (43 in this case), and d is the common difference (9 in this case).
Plugging in the values, we get:
a_43 = 11 + (43 - 1) * 9
a_43 = 11 + 42 * 9
a_43 = 11 + 378
a_43 = 389
So the 43rd term of the sequence is 389.
Cindy’s square garden has a side lengths of x ft. She will plant 5 tulip bulbs per square foot. The function g(x) = 5x2 models the number of bulbs she will plant. How many bulbs will she plant if the garden has a side length of 8 feet?
Answers
The function g(x) = 5x²models the number of bulbs she will plant is if the garden has a side length of 8 feet, Cindy will plant 320 tulip bulbs.
What is Function?
A function is a mathematical rule that assigns a unique output value for every input value. In other words, a function is a relation between a set of inputs and a set of possible outputs with the property that each input is related to exactly one output.
Functions are often denoted using function notation, such as f(x), where "f" is the name of the function and "x" is the input. The output of the function is denoted by f(x), which is read as "f of x" and represents the value of the function at the input value x.
To find the number of bulbs Cindy will plant if the garden has a side length of 8 feet, we need to evaluate the function g(8) = 5(8)²
Using the order of operations, we first need to square the side length, which gives us 8² = 64.
Then, we multiply 64 by 5 to get the total number of bulbs:
g(8) = 5(64) = 320
Therefore, if the garden has a side length of 8 feet, Cindy will plant 320 tulip bulbs.
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Fatima has a total of $8 to spend to make fruit smoothies. She will use two types of fruit. The table to the right shows the cost of each type of fruit per cup.
For the mango and pineapple mixture, find a linear equation in standard form that models how much mango and pineapple she can buy, where x is cups of mango and y is cups of pineapple.
Mango=0.50
Pineapple=0.75
Strawberry=1.00
Answers
Answer:
0.75y + 0.5x = 8.00
Step-by-step explanation:
Helpppppppp meeeeeeeeeeeeeeeeeeee
Answers
Find the value of b if the graph of y=0.3+b goes through the point. N(5, d)
Answers
Answer:
the answer according to your question is that " b" is = -0.3
Over the summer, a Bee Keeper and their bees was able to produce 636 jars of honey over the course of 12 week.
Answers
Answer: I assume you are trying to find how many jars the beekeeper has produced per week.
The answer is: 53
Step-by-step explanation:
We know that he produced 636 jars of honey over 12 weeks.
Therefore, to find out the number of jars he made each week, we divide the amount by the time.
So 636/12
Answer 53.
20x - 30y = -50
-2y-x = -1
Please step by step
Answers
-2y-x= -1
-x=-1+2y
X=1-2y
Then you substitute that equation in for x
20(1-2y)-30=-50
20-40y=-20
-40y=-40
Y=0
Then you substitute that to find the x
20x-30(0)=-50
20x=-50
X=-5/2
Leanne's Nursery buys crates of firewood to deliver to customers over the winter. Each crate
measures 4 feet long, 3.5 feet wide, and 4 feet high. How much storage space does the nursery
need for the wood if 60 crates are delivered in an order?
OA 675 cubic feet
OB 3,375 cubic feet
OC 3,937.5 cubic feet
OD 3,360 cubic feet
Answers
The volume of storage space that the nursery needs for the wood if 60 crates are delivered in an order is; D: 3360 cubic feet
How to find the total volume of a cuboid?The formula for volume of a cuboid is;
Volume = Length * width * height
We are given;
Length = 4 feet
Width = 3.5 ft
Height = 4 ft
Thus;
Volume of one crate = 4 * 3.5 * 4
= 56 cubic ft
We need a total of 60 crates. Thus;
Total Volume = 60 * 56
Total volume = 3,360 cubic feet
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Which property of real numbers is shown below?
3 + ((-5) + 6) = (3 + (-5)) + 6
O commutative property of addition
O identity property of multiplication
associative property of addition
commutative property of multiplication
Answers
a plane ticket to beacelona is £175 the price decreased by 6%
how much is the plane ticket now?
Answers
94/100x175
=£164.5
In my own words, write the 4 steps in finding the unknown angle of the givin right triangle
Answers
Answer:
Step-by-step explanation:
This question of of Trigonometry
Tan means the ratio of sides which are opposite to the given angle divided by the adjacent side to the angle (NOT THE HYPOTENUSE)
So Tan(Unknown angle) = 5/14
Unknown angle = 19.6 Degrees
The monster under your bed loves fruit. To appease him you buy 4 pounds of grapes. You also buy some strawberries. Both fruits cost $1.20 per pound. You spend $6. How many pounds of strawberries did you buy?
Answers
Answer:
1 pound of strawberries
Step-by-step explanation:
4 x $1.20 = $4.80
$6 - $4.80 = $1.20
one pound is $1.20
-11x-11 ≥ −6+13x
X <
Answers
in 2012, the national average for students graduating within six years from a private, nonprofit institution was around 66%. write this percent as a fraction and do not simplify.
Answers
The 66 percent in the form of fraction representing the national average of the students graduating within six years from a private and non profit institution is given by 33 / 50.
Percent of students graduating from private nonprofit institution within six years is equal to 66 percent
Value of one percent is equal to one part of 100
Percent in the form of fraction is given by :
⇒ 1 percent = one part of hundred
⇒ 1 percent = ( 1 / 100 )
⇒ 66 percent = ( 66 / 100 ) in fraction form
Simplify the fraction in more reduced form we get,
⇒ 66 percent = ( 33 / 50 ) in fraction form
Therefore, the fraction form of the 66 percent students who have graduate within six years from private non-profit institution is equal to ( 33 / 50 ).
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I need help with number 8
Answers
[tex](3x^2+5x+4)+(6x+1)~~ = ~~3x^2+11x+5 ~~ \textit{\LARGE \checkmark} \\\\[-0.35em] ~\dotfill\\\\ (3x^5+15x^3+4)+(-3x^5+2x^2-8)\stackrel{ \textit{not on all cases} }{~~ = ~~15x^3+2x^2-4} ~~ \bigotimes[/tex]
there are women and men in a department. part: 0 / 30 of 3 parts complete part 1 of 3 (a) how many ways can a committee of people be selected? number of ways to select a committee of people is .
Answers
If there are 8 men and 5 women , then the number of ways of selecting a 4 people committee is 715 ways .
The number of ways to select a committee of 4 people from a group of 13 people, where 5 are women and 8 are men, is calculated by Combination ;
where , "n" is = total number of people, "r" is = number of people to be selected,
In this case, we have:
the total number of people is = 8 + 5 ⇒ n = 13 ;
the number of committee member to be selected is "r" = 4 ;
So, the number of ways to select a committee of 4 people from a group of 13 people is : ¹³C₄ = 715 ways ;
Therefore, there are 715 ways to select a committee of 4 people from a group of 5 women and 8 men.
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The given question is incomplete , the complete question is
There are 5 women and 8 men is a department . Find the Number of ways can a committee of 4 people be selected ?
-36<-3x-9 or -42≥-3x-9
Answers
Step-by-step explanation:
= 9>x or. = 11<x.
Here is the answer
O DATA ANALYSIS AND PROBABILITY
Range of a data set
Ann is recording the percentages she earned on each quiz in her math class. Here are her results for the last 7 quizzes.
74, 64, 90, 74, 92, 68, 71
Find the range of the data set.
a
X
5
Answers
The range of the data set is, 28
What is mean by Subtraction?Subtraction in mathematics means that is taking something away from a group or number of objects. When you subtract, what is left in the group becomes less.
Given that;
The data set is,
74, 64, 90, 74, 92, 68, 71
Now, We know that;
Range of data set is calculating by subtracting the lowest value from highest value.
Hence, The range is,
⇒ Highest value - Lowest value
⇒ 92 - 64
⇒ 28
Thus, The value of range = 28
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