3x+8
What is the solution of
3x+8 /X-4>_
0?
oxs-orx>4
x 8
*<-3 or x>4
Osx<4
0 - 3 < x <4
Answers
Answer:
a
Step-by-step explanation:
The solution of the inequality 3x + 8 / (x -4 ) ≥ 0 is x≥ -8/3.
What is Inequality?Inequalities are mathematical formulas in which neither side is equal. Unlike equations, we compare two values in inequality. In between, the equal sign is substituted by a less than (or less than or equal to), greater than (or greater than or equal to), or not equal to sign.
We have the inequality,
3x + 8 / (x -4 ) ≥ 0
Now, simplifying the inequality
3x + 8 ≥ 0
3x ≥ 0-8
3x ≥ -8
x ≥ -8/3
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Related Questions
Simplify the radical
Answers
Answer:
4
Step-by-step explanation:
4 to the 4th power is 256
Which of the following sentences show correct verb tense usage? Check all that apply. When the facilitator announced a bathroom break, the seminar participants took out their iPhones and begun checking their messages a The overall outlook is favorable, so I wrote to the board chair to inform him. She has wrote him an e-mail
Answers
The sentence which show correct verb tense usage is The overall outlook is favorable.
Verbs are a necessary component of communication in every language, including English, without which it would be difficult to convey what the subject is doing. All acts, including those motivated by sentiments and emotions, are included.
Verbs exist in a variety of forms and kinds so they can function in many ways to convey the whole meaning. Let's have a look at how different dictionaries define the word "verb" before we examine the many kinds of verbs and their forms.
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Please helpppppppppp
Answers
Answer:
77 cubed in.
Step-by-step explanation:
I think it is 77 cubed inches because the formula is V-bh
The mean SAT score in mathematics, M, is 600. The standard deviation of these scores is 48. A special preparation course claims that its graduates will score higher, on average, than the mean score 600. A random sample of 70 students completed the course, and their mean SAT score in mathematics was 613.
a) At the 0.05 level of significance, can we conclude that the preparation course does what it claims? Assume that the standard deviation of the scores of course graduates is also 48.
Answers
Answer:
Step-by-step explanation:
The mean SAT score is \(\mu=600\), we are going to call it \mu since it's the "true" mean
The standard deviation (we are going to call it \(\sigma\)) is
\(\sigma=48\)
Next they draw a random sample of n=70 students, and they got a mean score (denoted by \(\bar x\)) of \(\bar x=613\)
The test then boils down to the question if the score of 613 obtained by the students in the sample is statistically bigger that the "true" mean of 600.
- So the Null Hypothesis \(H_0:\bar x \geq \mu\)
- The alternative would be then the opposite \(H_0:\bar x < \mu\)
The test statistic for this type of test takes the form
\(t=\frac{| \mu -\bar x |} {\sigma/\sqrt{n}}\)
and this test statistic follows a normal distribution. This last part is quite important because it will tell us where to look for the critical value. The problem ask for a 0.05 significance level. Looking at the normal distribution table, the critical value that leaves .05% in the upper tail is 1.645.
With this we can then replace the values in the test statistic and compare it to the critical value of 1.645.
\(t=\frac{| \mu -\bar x |} {\sigma/\sqrt{n}}\\\\= \frac{| 600-613 |}{48/\sqrt(70}}\\\\= \frac{| 13 |}{48/8.367}\\\\= \frac{| 13 |}{5.737}\\\\=2.266\\\)
since 2.266>1.645 we can reject the null hypothesis.Answer:
The null hypothesis is that the SAT score is not significantly different for the course graduates.
Alternate hypothesis: there is a significant difference between the SAT score achieved by the course graduates as compared to the non-graduates.
Apply the t-test. The Test Statistic value comes out to be t = 1.738 and the p-value = 0.0844
Since the p-value is larger than 0.05, the evidence is weak and we fail to reject eh null hypothesis.
Hope that answers the question, have a great day!
There is a rectangular lot in the garden, with 10 ft in length and 4 ft in width. You plan to expand the lot by an equal length around its
four sides, and make the area of the expanded rectangle 72 ft². How long should you expand the original lot in four directions?
You should expand the original lot by blank in four directions. Please type ft to represent feet.
Answers
Answer:
You should expand the four sides of the original lot by 2 ft.
Step-by-step explanation:
10 x 4 = 40
72 - 40 = 32
32/4 = 8
10 - 8 = 2
10 + 2 = 12
4 + 2 =6
12 x 6 = 72
There are 5 people in Johnny's rock band. They made x dollars playing at a dance hall. After
dividing the money 5 ways. each person got $67. How much did they make playing at the
dance hall altogether?
Answers
Answer:
They made 335 dollars playing together.
Step-by-step explanation:
There were 5 players/members in the band and each got 67 dollars to split the money equally. So, if there was no money leftover and it was split equally, then you have to multiply the number of people in the band and how much each got for you to get the total.
Hope this Helps!!
help please it's due tomorrow
Answers
\( \{ \: \alpha \: , \: \beta , \: a, \: b \}\)
\( \sf \longrightarrow \: No. \: of \: \: subsets = {2}^{n} \)
where, n denotes to number of elements in set .
Since, given set contains 4 elements .
Thus , 2⁴ {2 raise to power 4} .
\( \sf \longrightarrow \: No. \: of \: \: subsets = {2}^{4} \)
\( \sf \longrightarrow \: No. \: of \: \: subsets = 2 \times 2 \times 2 \times 2\)
\( \sf \longrightarrow \: No. \: of \: \: subsets = 4 \times 4\)
\( \sf \longrightarrow \: No. \: of \: \: subsets = 16\)
Therefore, Required subsets are 16.
They are , Namely;
\( \sf \longrightarrow \: subsets \: = \phi \: \{ \alpha \} \{ \beta \} \{ a\} \{ b\} \: \{ \alpha \beta \} \{ \alpha a\} \{ \alpha b\} \{ \beta a\} \{ \beta b\} \: .....\)
_____________________________
Additional Information:-If n is the number of elements in the set then,
No. of subsets possible for this subset is 2^n that's the (2 raise to the power n).
Let's take another example, {1,2}
Here, n = 2
subsets =2^2 =4
Subsets = ϕ, {1}, {2},{1,2}
Note :- every set is a subset of itself i.e. {1,2} and ϕ is a subset of every set
The same honey is sold in 2 different size jars. Large jar=540 for £4.10 small jar= 360 for £2.81 which jar is the best value for money?
Answers
The large jar has better value for money than the smaller one.
Which jar is the best value for money?To see which jar is the best value for the money, we need to take the quotient between the cost of each jar and the size. The smaller that value gets, the best value we have.
For the first jar we have:
q = £4.10/540 = 0.0075
For the second jar we have:
q' = £2.81/360 = 0.0078
Then we can see that the large jar has the best value for money.
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the product of three negative is _________ integer
Answers
Help but pls explain you thought
Answers
I’m confused as to what we’re supposed to do with the information?
I will give brainlist
Choose an equivalent expression for two thirds to the fourth power times two thirds raised to the third power comma all raised to the second power.
four ninths raised to the fourteenth power
four ninths raised to the twenty fourth power
two thirds raised to the fourteenth power
two thirds raised to the twenty fourth power
Answers
Using exponent properties, the equivalent expression is given as follows:
\(\left(\frac{2}{3}\right)^14\)
What is the equivalent expression?Two thirds to the fourth power is given by:
\(\left(\frac{2}{3}\right)^4\)
Two thirds to the third power is given by:
\(\left(\frac{2}{3}\right)^3\)
When two terms with the same base and different exponents are multiplied, we keep the base and add the exponents, hence:
\(\left(\frac{2}{3}\right)^4 \times \left(\frac{2}{3}\right)^3 \left(\frac{2}{3}\right)^{4 + 3} = \left(\frac{2}{3}\right)^7\)
Then, this entire expression is raised to the second power, meaning that:
\(\left[\left(\frac{2}{3}\right)^7\right]^2 = \left(\frac{2}{3}\right)^7 \times \left(\frac{2}{3}\right)^7 = \left(\frac{2}{3}\right)^{7+7} = \left(\frac{2}{3}\right)^14\)
\(\left(\frac{2}{3}\right)^14\) is the equivalent expression.
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Zeus Computer Chips, Inc., used to have major contracts to produce the Centrino-type chips. The market has been declining during the past three years because of the quad-core chips, which it cannot produce, so Zeus has the unpleasant task of forecasting next year. The task is unpleasant because the firm has not been able to find replacement chips for its product lines. Here is demand over the past 12 quarters:
Two Years
Ago Last Year This Year
I 4800 I 3500 I 3,200
II 3500 II 2700 II 2100
III 4300 III 3500 III 2700
IV 3,000 IV 2,400 IV 1700
Use the decomposition technique to forecast demand for the next four quarters.
Answers
Answer:
1st quarter := 2488.23
2nd quarter = 1646.50
3rd quarter = 1893.98
4th quarter = 1152.93
Step-by-step explanation:
Forecast demand in the next four quarters
intercept ( a ) = 3116.67 - (- 168.25 * 6.5 ) = 4210.29
Slope ( b ) = ( 219041.15 ) - ( 12 * 6.5 * 3,116.67 ) / 650 - ( 12 * ( 6.5)^2 )
= -24059.11 / 143 = -168.25
Forecast demand = a + bt = 4210.29 + 168.25t
1st quarter := 2488.23
2nd quarter = 1646.50
3rd quarter = 1893.98
4th quarter = 1152.93
Values calculated using data from table attached below ( table 2 )
math project : I need an interesting project idea for mathematics that can relate 3 different topics, I should write a full research paper related on the topic this are some examples related to the project
You must state a question that you would like to answer. This must be a specific question within your topic and should be explored thoroughly to create a complete paper.
Examples:
(i) How can we use Mathematical/Calculus-based tools to study the spread of COVID-19?
(ii) Designing a new Mathematical/Calculus-based model to analyze the spread of COVID-19
(iii) How many entrances should there be at Expo to accommodate all visitors?
(iv) How much water does the UAE need in order to sustain its ever changing population? (i.e. comparing water usage vs. water production)
Literature review:
You must show using multiple references and sources of the current literature on your given topic. This does NOT imply that information is simply copied from the internet but rather you must present a comprehensive review and summary of the latest research on your topic. It is suggested that you chose a specific aspect of your topic in order to include all required elements.
Examples:
(i) Review of the existing Mathematical/Calculus-based models used to analyze the spread of COVID-19
(ii) Review of existing Mathematical/Calculus-based models and calculations regarding risk insurance.
Answers
Answer:
Here's an interesting project idea for mathematics that can relate three different topics:
Topic 1: Fractals
Topic 2: Chaos Theory
Topic 3: Differential Equations
Research Question: Can fractals be used to model chaotic systems described by differential equations?
In this project, you can explore the concept of fractals and their applications in modeling complex systems. You can also delve into chaos theory and differential equations to understand how they are used to describe chaotic systems. By combining these three topics, you can investigate whether fractals can provide a better understanding of chaotic systems by modeling them more accurately.
Your research paper can cover the following areas:
Introduction: Provide an overview of fractals, chaos theory, and differential equations, and explain their relevance to the research question.
Fractals: Discuss the properties of fractals and how they can be used to model complex systems. Provide examples of fractals in nature and technology.
Chaos Theory: Explain the concept of chaos and how it is described by differential equations. Discuss the importance of chaos theory in understanding complex systems.
Differential Equations: Provide an overview of differential equations and their applications in physics, engineering, and other fields. Explain how differential equations are used to model chaotic systems.
Combining the three topics: Explain how fractals can be used to model chaotic systems described by differential equations. Provide examples of fractals used in modeling chaotic systems and compare the results to traditional methods.
Conclusion: Summarize the findings of your research and discuss the implications of using fractals to model chaotic systems.
Overall, this project can be a challenging and rewarding exploration of the interplay between three different mathematical topics.
Step-by-step explanation:
A company is producing picture frames as well as the glass for the front of the frames. The amount of wood required
for the frame is represented by the function W/(x), and the amount of glass is represented by the function G(x). The
frames have lengths represented by the function f(x) and widths represented by g(x).
X
2
3
4
5
W(x)=2[(f+g)(x)]
14
24
34
44
G(x) = (f-g)(x)
6
27
60
105
Which statement describes the combined functions W(x) and G(x)?
O The amount of glass required has a constant rate of change, but the amount of wood does not.
O The amount of wood required has a constant rate of change, but the amount of glass does not.
O Both the amount of wood required and the amount of glass required have a constant rate of change.
ONeither the amount of wood required nor the amount of glass required has a constant rate of change.
Answers
Answer:The combined functions W(x) and G(x) represent the amount of wood and glass required to produce a picture frame. Based on the information provided,
W(x)= 2[(f+g)(x)] and G(x) = (f-g)(x)
By looking at the values of the given table, it can be observed that the rate of change in the amount of glass required (G(x)) is not constant, it increases as x increases.
On the other hand, the rate of change in the amount of wood required (W(x)) is not constant as well, it increases as x increases too.
It's not mentioned any information about constant rate of change for f and g.
Therefore, the correct statement that describes the combined functions W(x) and G(x) is: "Neither the amount of wood required nor the amount of glass required has a constant rate of change."
It's important to mention that the problem provided does not have a unique solution, because the values for f and g are not defined so it's not possible to infer their behaviour over time.
It is only possible to infer the behaviour of the functions W(x) and G(x) given the information provided, and it is clear that the rate of change for both functions does not remain constant, but it increases as x increases.
Step-by-step explanation:
Write −12.405 as a mixed number in simplest form.
−12.405=
Answers
Answer:
-12.405 = 2481
200
...
...... . . . .
.
..
. . . .
. .. . ..
:-)))
1. Pia drew a circle with a circumference of C and a diameter of 14 in. Pia knows that, and she wrote the following equation to represent the value of.
(a) There is an error in Pia’s equation. Write an equation to correctly represent the value of. Show your work.
π=14/C
(b) Write an equation and find the circumference of the circle
Answers
They getting 67-879
Zayden has a total of 20 bills in his wallet. Also, his wallet only contains $50 and $100 bills. If the numbers of $50 and $100 bills are interchanged, the total amount of money in Zayden’s wallet would be $500 more than it originally was. Find the original amount of money in his wallet.
$
Answers
Step-by-step explanation:
x = number of $50 bills
y = number of $100 bills
x + y = 20
50x + 100y + 500 = 100x + 50y
50y + 500 = 50x
y + 10 = x
now we use that in the first equation :
y + 10 + y = 20
2y = 10
y = 5
x = y + 10 = 5 + 10 = 15
so, he has 15 $50 bills and 5 $100 bills = $750 + $500 = $1250 in his wallet
Two times the sum of a number and 8 is negative 48 what is the number?
Answers
Answer:
-32
Step-by-step explanation:
Let the number be x.
\(2(x+8)=-48 \\ \\ x+8=-24 \\ \\ x=-32\)
helppp!
a. box 1: always, sometimes , never / box 2: remain ,do not remain
b. box 1: always, sometimes , never/ box 2: always, sometimes , never
c. box 1 : always, sometimes , never/ box 2: remain, not remain/ box 3: remain, not remain
d. box 1 : awlays, sometimes, never/ box 2 : an equal distance, different distance/ box 3 : some, all, no
e. box 1 : awlays, sometimes, never/ box 2 : would, would not / box 3 : all, no.
Answers
Answer:
a. always, remain
b. always, remain
c. never, not remain, not remain
d. always, an equal distance, all
e. never, would not, all
Step-by-step explanation:
They are all correct, hope this helps -w-
A line's y-intercept is -3, and its slope is 1/4 . What is its equation in slope-intercept form
Answers
Answer:
y=1/4x-3
Step-by-step explanation:
10 Points What percentage of people eat fruits and vegetables and abstain from smoking, but do not partake in physical activity? 14% 5% 12% 10%
Answers
The percentage of people that eat fruits and vegetables and abstain from smoking, but do not partake in physical activity is option d: 10%.
What is the percent in a Venn diagram about?
The common aspect of this Venn diagram shows the percentage that has the respondents or class that is been classified into groups.
For one to be able to calculate the percentage that stands for the amount of food in classified into the groups, we must need to find the sum of group and group . Then subtract that rate from percent.
In the case above, it need no calculation because in the diagram attached, the percentage is shown to be the shaded portion,
Hence, The percentage of people that eat fruits and vegetables and abstain from smoking, but do not partake in physical activity is option d: 10%.
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Please answer. Find the difference by subtracting the second polynomial from the first. for 10 points!!!!!!!!!!!!!
Answers
Answer:
\(-3x^3+x\)
Step-by-step explanation:
Let's first write the expression:
\(-3x+x^3-2x^2-(4x^3-2x^2-4x)\)
Now we can simplify. Be sure to remember to distribute the "-" to all the numbers in the parentheses. You can picture it like multiply "-1" to all the numbers in the parentheses to make it easier.
\(-3x+x^3-2x^2-4x^3+2x^2+4x\)
Now we combine like terms.
\(x-3x^3\)
Write the polynomials by decreasing exponents
\(-3x^3+x\)
The amount of change that goes up
Answers
Answer:
rates of change, positive or negative
Step-by-step explanation:
REVIEW OF ESSENTIAL SKILLS AND PROBLEM SOL
Examining a savings plan for college
David wants to attend a college that will cost $21,000 for the first year. His uncle gave him a special gift of $12,000 to use toward the cost. David plans to
attend the college in 5 years. How much must David save each month to have enough for the first-year cost?
5
Answers
Based on the above, David must save $150 each month to cover the money left over for his first year of college.
How to calculate what David's savings should be for the next 5 years for his first year of university?To calculate the savings that David must make monthly for the next 5 years we must carry out the following procedure:
His uncle gave him $12,000 so we must subtract this value from the total he needs.
$21,000 - $12,000 = $9,000So he must save $9,000 in 5 years.
$9,000 / 5 = $1,800$1,800 / 12 = $150According to the above, he must save $1,800 per year, so each month he should save $150.
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A soda factory makes 9 flavours of soda. Each case of soda has 7 cans of each flavour. How many cans of soda does the factory put in 7 cases?
Answers
The factory will put 441 cans of soda in 7 cases.
If each case of soda contains 7 cans of each flavor, and the factory is putting 7 cases, we can calculate the total number of cans by multiplying the number of flavors, cans per flavor, and cases.
Given:
Number of flavors = 9
Cans per flavor = 7
Number of cases = 7
To calculate the total number of cans, we can multiply these values:
Total cans = Number of flavors × Cans per flavor × Number of cases
Total cans = 9 × 7 × 7
Total cans = 441
To arrive at this answer, we multiplied the number of flavors (9) by the number of cans per flavor (7) to get the number of cans per case (63). Then, we multiplied the cans per case (63) by the number of cases (7) to obtain the total number of cans (441).
Hence, the factory will put 441 cans of soda in 7 cases.
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What is the GCF of two prime numbers?
Group of answer choices
A. 1
B. The second number
C. The last number
D. 0
Answers
Answer:
A. 1
Step-by-step explanation:
prime numbers are not subject to any factors other then themselves and 1
Warning
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Question 1 (Multiple Choice Worth 2 points)
(Effects of Changes in Data MC)
The heights of 11 plants, in inches, are listed.
14, 15, 16, 16, 17, 17, 17, 18, 18, 19, 22
If another plant with a height of 14 inches is added to the data, how would the range be impacted?
Answers
The range of the data is the difference between the highest and lowest values, which is 8 inches. Adding another plant with a height of 14 inches would not change the range, so the range would remain 8 inches.
What is data?Data is a collection of facts, figures, or information that can be processed and used to draw conclusions or make decisions. It can be stored in a variety of formats, including numerical, text, images, audio, and video. Data can be collected from a variety of sources, such as surveys, observations, experiments, or transactions. It can be used to inform decisions in areas such as business, health care, education, and research. Data can be analyzed to gain insight, develop strategies, identify trends, and make predictions. Data is a valuable resource and is increasingly important in today's digital age.
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To make 5 pizzas, 1/2 cup of flour is used a. How much flour is needed to make one pizza? b.. How many cups of flour are needed to make 1 dozen pizzas? (1 dozen - 12) c. How many pizzas can you make with 5 2/3 cups of flour?
Answers
Answer:
for a single pizza 1/10 a cup
for 12 pizzas 1 1/5 a cup
you can make 56 pizzas with 5 2/3 cups.
Step-by-step explanation:
for 5 pizzas you need 1/2 cup of flour, so to find out how much you'll need for a single pizza you'll need to divide it with 5. 1/2÷5=1/10
for a dozen pizzas you'll need to multiply that with 12. 1/10x12=12/10=1 1/5
Then to find out how many can we make with 5 2/3 cups we'll divide it with that 1/10
56/10÷1/10= 56 pizzas
If todd is practising skating drills. He skates around the face-off circle of the ice rink. If the circle has a radius of 4.5cm, how far does he skate when he goes around the circle twice?
Answers
The total distance if he goes around the circle twice is 56.52 cm
How far does he skate when he goes around the circle twice?The answer of this is equal to two times the circumference of the circle, remember that for a circle of radius R, the circumference is:
C = 2πR
with π = 3.14
Then in this case the length is:
L = 4πR
In this case the radius is 4.5cm, then the length is:
L = 4*3.14*4.5cm = 56.52 cm
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Dan spent $765.00 on equipment to open a business selling burritos. He sells the burritos for $3.50 each. The cost of the ingredients to make each burrito is $0.75