Answer:
x = 3
Step-by-step explanation:
2x + 5x - 4 = 17 (Given)
7x - 4 = 17 (Simplify)
7x - 4 + 4 = 17 + 4 (Add 4 on both sides)
7x = 21 (Simplify)
7x/7 = 21/7 (Divide 7 on both sides)
x = 3 (Simplify)
Which property is used when multiplying polynomials?
A. inverse
B. reflexive
C. transitive
D. distributive
Answer:
distributive property
Step-by-step explanation:
hope i helped.
9 + x/10 = 10
Solve for x
Answer:i had forgot
Step-by-step explanation:
Answer:4
Step-by-step explanation:
u add den subtract den divide then there
Subtract and simplify. Show work to earn full credit. (from Lesson 4.03 - 4 points)
(9^2 − 4 − 4) − (−2^3 − + 12)
The simplified form of the expression (9² - 4 - 4) - (- 2³ - + 12) is 93.
What is a numerical expression?A numerical expression is a mathematical statement written in the form of numbers and unknown variables. We can form numerical expressions from statements.
Given, An expression (9² - 4 - 4) - (- 2³ - + 12).
= (9×9 - 8) - (- 2×2×2 - 12).
= (81 - 8) - (- 8 - 12).
= (73) - (- 20).
= 73 + 20.
= 93.
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mensa is an organization whose members have the top 2% of all iqs. find the minimum iq needed to qualify for the mensa organization. write the probability statement.
The probability of having an IQ score below the minimum Mensa IQ is 0.98, or the probability of having an IQ score above or equal to the minimum Mensa IQ is 0.02.
The features of the normal distribution can be used to determine the minimal IQ required to join Mensa if we assume that IQ scores follow a normal distribution. We can determine the IQ score that represents the 98th percentile of the IQ distribution because Mensa members make up the top 2% of all IQs.
We can determine the z-score for the 98th percentile using a typical normal distribution table, which is roughly 2.33. This indicates that the IQ score that is 2.33 standard deviations above the mean IQ is the minimal IQ required to join Mensa.
The formula: can be used if we are aware of the mean and standard deviation of the IQ distribution.
IQ equals (z-score) x standard deviation plus mean.
to determine the Mensa membership cutoff IQ. We are unable to determine the actual IQ score since the question does not include the mean or standard deviation of the IQ distribution.
The following is the probability statement for this issue:
P(IQ minimum Mensa IQ) = 0.02, or P(IQ minimum Mensa IQ) = 0.98, in other words. This indicates that the likelihood of having an IQ score below the minimum Mensa IQ is 0.98 and the likelihood of having an IQ score equal to or higher than the minimum Mensa IQ is 0.02.
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how to say hi pls i need to know
Answer:
Step 1.
Say "hi"
k that's it
Answer:
U just say hey
Step-by-step explanation:
hope this helped
Pls, choose me as brainliest!
HELP HELP PLS LOOK AT IMAGEE
Answer:
4 hours
Step-by-step explanation:
By adding the x's on the graph, they practiced 2/4 + 3/4 + 3/4 + 1 + 1 hours, which is 4 hours
The Smiths spend 6% of their budget on entertainment. Their total budget this year is $2,000 more than last year, and this year they plan to spend $2,880 on entertainment. What was their total budget last year?
Answer:
Total budget this year = $ 2000 more than last year. Let x = Budget for this year. Money on entertainment = 0.06x = 2760. ⇒ Budget for this ...
Step-by-step explanation:
102 A marathon is 26.2 miles long. There is a water station every 1 1/4 miles along the race route. How many water stations are needed for this marathon? tills
Answer:
21 stations
Step-by-step explanation:
1 1/4 = 5/4
26.2 / 5/4 = 20.96
rounded up to 21
Can someone help? Please
Answer:
x=1
Step-by-step explanation:
3(x)+1 substitute 1 in for x
3(1)+1=4
10(x)-6 substitute 1 in for x
10(1)-6=4
4=4
(sorry if that doesn't make any sense)
emma wants to draw a triangle with side lengths of 4 inches, 12 inches, and 17 inches. Which statement is true? This triangle exists because the sum of any two side lengths is greater than the length of the third side. This triangle exists because the sum of 4 and 12 is less than 17. This triangle does not exist because the sum of any two side lengths is greater than the length of the third side. This triangle does not exist because the sum of 4 and 12 is less than 17.
An airplane flies with a constant speed
of 820 miles per hour. How far can it
travel in 3 1/2 hours?
2870 miles
D= s x t
= 820 x 3.5
=2870
Hope this helps!
Please help me with this Question!!!!! I have so many math tests!!!!!!!! Worth 20 points please help me the answers are.....
1.x=1
2.x=2
3.x=4
4.x=5
Answer:
3. x=4
-1/2(4+2)+1 1/2(4)=3
Answer:
X=-5
Step-by-step explanation:
Jemima has to post 2 books to her sister. She weighs them on the kitchen
scales, which gives readings correct to the nearest 5g.
"Algebra made Easy" is weighed at 450g.
"Terrible Trigonometry" is weighed at 95g.
She packs them using wrapping that is weighed at 120g.
The post office charges 79p for the first 510g of any parcel, and then 11p for
each extra 40g.
Find the maximum that Jemima might have to pay to post the parcel.
Pls answer it’s urgent I’ll give brainliest
Answer:
All three products were already rounded to the nearest 5g.
"Algebra made Easy" 450g
“Terrible Trigonometry" 95g
Wrapping 120g
867.107844 Is the maximum Jemima might have to pay to post the parcel.
Step-by-step explanation:
510 divided by 79 = 6.455g per 510g
665g total of products so divide 665 by 510 now to get 1.30392157g per weight which brings us to the maximum total of 867.107844
When we are computing a simple linear regression line, there are certain conditions that must be met for this model to be valid. One of these conditions is the equal spread condition. Which of these answers best explains how we check to make sure that this condition is met? a. Make sure there is similar spread around the sample mean of x. b. Make sure there is similar spread around the line at each value of x.
c. Make sure that there is similar spread around the sample mean of y. d. Make sure all outliers are only below the line.
The answers that best explains how we check to make sure that this condition is met is: c. Make sure there is similar spread around the sample mean of y.
How we check to make sure that this condition is met?The equal spread condition states that the residuals (differences between the actual and predicted values of y) should have roughly equal variance at each value of x.
To check if this condition is met, we examine the residual plot, which is a scatterplot of the residuals versus the independent variable x. If the spread of residuals around the mean is roughly equal for all x, then the equal spread condition is satisfied.
Therefore the correct option is C.
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Prove that F = A’BC + A’BC’ + A’B’C + AB’C + ABC is equivalent to F = A'B + C using proof by rewrite. (HINT: remember the uniting law is the key to minimization.)
Answer:
To prove that F = A’BC + A’BC’ + A’B’C + AB’C + ABC is equivalent to F = A'B + C, we can use proof by rewrite to simplify and transform one expression into the other.
Starting with F = A’BC + A’BC’ + A’B’C + AB’C + ABC, we can apply the distributive law to factor out A’ and get:
F = A’(BC + BC’ + B’C) + AB’C + ABC
Next, we can use the law of complementation to simplify A’(BC + BC’ + B’C) as A’B + A’C, and then use the distributive law again to factor out C:
F = A'B + A'C + AB'C + ABC
Finally, we can use the law of idempotence to simplify A'C + ABC as C + A'BC, and then substitute this into the above expression to get:
F = A'B + C
Therefore, we have shown that F = A’BC + A’BC’ + A’B’C + AB’C + ABC is equivalent to F = A'B + C using proof by rewrite. The key to the simplification was applying the distributive law, law of complementation, and law of idempotence, and using the fact that the uniting law allows us to combine terms that have a common variable.
7. give a recursive algorithm for finding the reversal of a bit string. (see the definition of the reversal of a bit string in the preamble of exercise 36 in section 5.3.)
In this algorithm, the "bit" term refers to a binary digit, which can be either 0 or 1. The reversal of a bit string means to reverse the order of its bits, so that the first bit becomes the last and vice versa.
To find the reversal of a bit string using a recursive algorithm, we can follow these steps:
1. Check if the bit string is empty or contains only one bit. If so, return the bit string as it is the reversal.
2. Otherwise, split the bit string in half and recursively call the reversal algorithm on each half.
3. Concatenate the reversal of the second half with the reversal of the first half to get the final reversed bit string.
Here is the recursive algorithm in pseudocode:
Function reverseBits(bitString):
if length(bitString) ≤ 1:
return bitString
else:
firstHalf = bitString[0: length(bitString)/2]
secondHalf = bitString[length(bitString)/2: length(bitString)]
return reverseBits(secondHalf) + reverseBits(firstHalf)
In this algorithm, the "bit" term refers to a binary digit, which can be either 0 or 1. The reversal of a bit string means to reverse the order of its bits, so that the first bit becomes the last and vice versa.
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Suppose a company wants to introduce a new machine that will produce a marginal annual savings in dollars given by S '(x)= 175 - x^2, where x is the number of years of operation of the machine, while producing marginal annual costs in dollars of C'(x) = x^2 +11x. a. To maximize its net savings, for how many years should the company use this new machine? b. What are the net savings during the first year of use of the machine? c. What are the net savings over the period determined in part a?
a) To maximize its net savings, the company should use the new machine for 7 years. b) The net savings during the first year of use of the machine are $405 (rounded off to the nearest dollar). c) The net savings over the period determined in part a are $1,833.33 (rounded off to the nearest cent).
Step-by-step explanation: a) To determine for how many years should the company use the new machine to maximize its net savings, we need to find the value of x that maximizes the difference between the savings and the costs.To do this, we need to first calculate the net savings, N(x), which is given by:S'(x) - C'(x) = 175 - x² - (x² + 11x) = -2x² - 11x + 175To find the maximum value of N(x), we need to find the critical values, which are the values of x that make N'(x) = 0:N'(x) = -4x - 11 = 0 ⇒ x = -11/4The critical value x = -11/4 is not a valid solution because x represents the number of years of operation of the machine, which cannot be negative. (i.e., not use it at all).However, this answer does not make sense because the company would not introduce a new machine that it does not intend to use. Therefore, we need to examine the concavity of N(x) to see if there is a local maximum in the feasible interval.
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QUESTION1 Round 3,500 to the nearest ten thousand. QUESTION 2 Round 462,183.5062749 to the nearest tenth. QUESTION 3 Evalutate 8^8
QUESTION 4 6+(−3)−5 equals
1) 3,500 rounded to the nearest ten thousand is 0.
2) 462,183.5062749 rounded to the nearest tenth is 462,183.5.
3) 6 + (-3) - 5 is equal to -2.
QUESTION 1:The given number is 3,500. To round it to the nearest ten thousand, we need to see which ten thousand is closest to the number. In this case, 3,500 is between 0 and 10,000. Since 0 is closer, we round down to 0. So, 3,500 rounded to the nearest ten thousand is 0.
QUESTION 2: To round the given number, 462,183.5062749, to the nearest tenth, we need to look at the digit in the hundredths place (the second digit after the decimal point), which is 0. Since 0 is less than 5, we round down the digit in the tenths place to 3.
Therefore, 462,183.5062749 rounded to the nearest tenth is 462,183.5.
QUESTION 3:We have to evaluate 8 to the 8th power. That means we have to multiply 8 by itself 8 times. Using a calculator, we can find that 8^8 is equal to 16,777,216.
QUESTION 4:When solving the expression 6 + (-3) - 5, we should follow the order of operations, which is: Parentheses, Exponents, Multiplication and Division (from left to right), and Addition and Subtraction (from left to right).
Since there are no parentheses or exponents in this expression, we can simply perform addition and subtraction from left to right.
6 + (-3) = 3, then 3 - 5 = -2.
Therefore, 6 + (-3) - 5 is equal to -2.
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A house is bought for $75000 and then resold for $87000. Calculate the percentage profit
Directions: Select the correct answer from each drop-down menu. The histogram below shows the homework grades from the last assignment in Mr. Smith's class. Homework Grades 10 Number of Students. Using the histogram, determine the best measures of the data. The best measure of center is the median Chy, and the best measure of variability is the mean absolute deviation
Answer:
Each number in the data is broken down into a stem and a leaf, thus the name. The stem of the number includes all but the last digit.
Step-by-step explanation:
Answer:
Step-by-step explanation:
what he said
How could you use Bill’s expression to find out when Bill first got his honeybees and when he lost his colony?
Bill first got his honeybees after 1 year and he lost his colony after 3 years.
Calculating when Bill first got his honeybees and when he lost his colony?From the question, we have the following parameters that can be used in our computation:
h(t) = -16t⁴ + 160t² - 144
Divide through by 4
So, we have
h(t) = -4t⁴ + 40t² - 36
Set the function to 0
-4t⁴ + 40t² - 36 = 0
Expand the equation
4t⁴ - 4t² - 36t² + 36 = 0
Factorize the expression
4(t⁴ - 1) - 9 * 4(t² - 1) = 0
Express t⁴ - 1 as difference of two squares
4(t² - 1)(t² + 1) - 9 * 4(t² - 1) = 0
Factor out 4(t² - 1)
4(t² - 1)(t² - 9) = 0
This gives
(t² - 1)(t² - 9) = 0
When solved for t, we have
t = 1 and t = 3
This means that Bill first got his honeybees after 1 year and he lost his colony after 3 years.
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Question
Bill keeps a colony of honeybees on his property. He has created an expression to represent the number of honeybees that are in the colony t years after he decided to create the colony.
The expression Bill created is -16t4 + 160t2 – 144.
After deciding to create the colony, it took a fair amount of time to prepare before actually getting bees in his colony. After some time, the population in the colony started to decrease; eventually Bill lost his colony.
How could you use Bill’s expression to find out when Bill first got his honeybees and when he lost his colony?
Which input-output pair is shown in the graph?
Where is the graph? Can you upload a Pic of the graph so that I can help you with your question
Courtney bought 12 pints of orange juice. If there are 8 pints in 1 gallon, how many gallons of orange juice did she buy?
Answer:
2/4
Step-by-step explanation:
Find the area of the triangle below. Be sure to include the correct unit in your answer. 8 cm 9 cm 18 cm
Answer:
648
Step-by-step explanation:
An easy way to do this is to multiply all sides, then divide by 2.
8 × 9 × 18 = 1296
Now divide that by 2:
1296 ÷ 2 = 648
The area of the triangle is 648.
Maria invests her $150 for 2 years at 4% per year compound interest.
A) Calculate the exact amount Maria has at the end of 2 years.
Maria continues to invest her money at 4% per year compound interest.
After 20 years she has $328.67.
i) Calculate exactly how much more this is than $150 invested for 20 years at
simple interest.
(ii) Calculate $328.67 as a percentage of $150.
Step-by-step explanation:
A)At the end of 2years compound interest=$150(1+4/100)²=$162.24
i) Amount difference=$328.67-{($150×4×20/100)+$150}
=$328.67-$270=$58.67
ii)328.67/150×100%=121.73%
My entire life I have noted the sun rises every morning and sets every evening. I am concluding that the sun will rise tomorrow morning and set tomorrow evening. Make an argument as to why this can be inductive or deductive reasoning and include details that indicate your knowledge of the topic.
The argument that the sun will rise tomorrow morning and set tomorrow evening is based on inductive reasoning, using past observations of consistent sunrise and sunset patterns to predict future occurrences.
1. The observation: Throughout your entire life, you have consistently noticed that the sun rises every morning and sets every evening. This is an observation based on personal experience.
2. Inductive reasoning: Based on this observation, you make an inference or prediction about the future. You reason that since the sun has always risen in the morning and set in the evening in the past, it is likely to continue doing so in the future.
3. Pattern and consistency: The assumption is that natural phenomena, such as the rising and setting of the sun, follow a pattern or regularity. This assumption is based on the principle of uniformity of nature, which suggests that the future will resemble the past in terms of natural occurrences.
4. The limitations of inductive reasoning: While inductive reasoning provides a useful way to make predictions based on past observations, it is not foolproof. There is always a small possibility that something unexpected could happen, such as a rare astronomical event or an external factor that alters the pattern. However, based on the available evidence and the consistency of the observed pattern, the prediction that the sun will rise tomorrow morning and set tomorrow evening is highly probable.
In summary, the argument relies on inductive reasoning, using the past consistent observation of the sun's rising and setting to predict that it will continue to do so in the future. While this reasoning is not infallible, it is a reasonable and practical way to make predictions based on observed patterns in nature.
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Ex) what is the ratio? Of 5:35
Answer:
1:
Step-by-step explanation:
5 divided by 5 is 1, and 35 divided by 5 is
Three friends went out to lunch. They each started with the same amount of money, and they each spent $6. They ended with a combined total of $24. How much money did each of them have to start?
Write an equation that could be used to answer the question above. First, chose the appropriate form. Then fill in the blanks with the numbers 3, 6, and 24.
A. _(x + _) = _
B. _(x - _) = _
An equation that could be used to answer the question above is,
3(x - 6) = 24.
What is a numerical expression?A numerical expression is a mathematical statement written in the form of numbers and unknown variables. We can form numerical expressions from statements.
Given, Three friends went out to lunch. They each started with the same amount of money, and they each spent $6.
Now, They ended with $24 combined so each must have ended with
(24/3) = $8.
Now, Each has ended with $8 and spent $6 so they had a total of (8 + 6)
= $12.
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If x^2+x =3^2/3+3^-2/3 then prove that 3x^3+9x-8=0
x^2 + 2 = 3^2/3 + 3^-2/3
x^2 = 3^2/3 + 3^-2/3 - 2
x = √(3^2/3 + 3^-2/3 - 2)
x = 0.748888296
Substitute for x in 3x^3 + 9x - 8:
3( 0.748888296)^3 + 9( 0.748888296) - 8 = 0.
So it is proved.
Can someone help me with this math question the right answers
Answer:
d is the right answer hope you get it right