Answer: x=-2
Step-by-step explanation: First we can multiply 4 times anything in the parantheses to get rid of it.
(2x-6)+4(x-3)
(2x-6)+4x-12
Then we combine like terms.
(2x-6)+4x-12
6x-6-12
6x-18
Finally we divide both sides 6.
6x-18
6x/6-18/6
x=-2
The final answer is x=-2
Hope this helps!
Btw this is a backup account
Answer:
6x - 18
Step-by-step explanation:
Distribute: 2x − 6 + 4x − 12
Group Common Factors: 2x + 4x - 6 -12
Solve: 6x - 18
I hope this helped, please mark Brainliest, thank you!
Describe how to transform the graph of f(x) = ⎜x⎟ to obtain the graph of the related function g(x). Then draw the graph of g.
Answer:
ssss
Step-by-step explanation:
dddd
What is this for math 1
Yes, it showed you the fomula
Answer: 64x^6y^3
Consider the following table of activities A through G in which A is the start node and G is the stop node. Activity Duration (days) Predecessor A 5 -- B 8 A C 7 A D 6 A E 9 B, C, D F 10 B, C, D G 5 E, F On a piece of scratch paper, draw the network associated with this table and determine the following. What is the total slack for activity F? 4 (B) 2 (C) 1 (D) 3 (E) 0
The correct answer is 2 (C) - 2 days is the total slack for activity F. To determine the total slack for activity F, we need to calculate the slack for each activity in the network. Slack refers to the amount of time an activity can be delayed without affecting the project completion time.
1. First, let's draw the network using the information provided:
- A is the start node and G is the stop node.
- Activity A has a duration of 5 days and has no predecessor.
- Activities B, C, and D have durations of 8, 7, and 6 days respectively, and their predecessors are A.
- Activity E has a duration of 9 days and its predecessors are B, C, and D.
- Activity F has a duration of 10 days and its predecessors are B, C, and D.
- Activity G has a duration of 5 days and its predecessors are E and F.
A
/|\
/ | \
/ | \
B C D
\ | /
\ | /
\|/
E
|
F
|
G
2. Now, let's calculate the slack for each activity:
- Slack is calculated by subtracting the earliest start time of an activity from the latest start time without delaying the project completion time.
- The earliest start time for activity F is 17 days.
- The latest start time for activity F is 19 days (project completion time is 22 days).
- Total slack for activity F = latest start time - earliest start time = 19 - 17 = 2 days.
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If BD BC, BD = 5x – 26, BC = 2x + 1, and AC = 43, find AB.
Answer:
AB = 24
Step-by-step explanation:
BD = 5x – 26
BC = 2x + 1
AC = 43
Using the segment addition postulate, AC = AB + BC.
We know that BD = BC, BD = 5x-26 and BC = 2x+1. We can set up an equation to find the value of x:
5x - 26 = 2x + 1 Subtract 2x from each side
5x - 26 - 2x = 2x + 1 - 2x
3x-26 = 1 Add 26 to each side
3x-26+26 = 1+26
3x=27 Divide both sides by 3
3x/3 = 27/3
x = 9
This means that BC = 2x + 1 = 2(9) + 1 = 18 + 1 = 19.
We know that AC = AB + BC; using our given information as well as the value of BC we just found, we have
43 = AB + 19 Subtract 19 from each side
43 - 19 = AB + 19 - 19
24 = AB
Rent expense in Volusia Company's 2014 income statement is $420,000. If Prepaid Rent was $70,000 at December 31, 2013, and is $95,000 at December 31, 2014, the cash paid for rent during 2014 is:A. $480,000B. $445,000C. $395,000D. $420,000
As per the mentioned informations, the cash paid for rent during 2014 is calculated to be $395,000. So, the correct answer is option (C) i.e. $395,000.
To calculate the cash paid for rent during 2014, we need to use the information given in the problem and apply the following formula:
Cash paid for rent = Rent expense + Prepaid rent at the beginning of the period - Prepaid rent at the end of the period
Substituting the values given in the problem, we get:
Cash paid for rent = $420,000 + $70,000 - $95,000
Cash paid for rent = $395,000
Therefore, it can be concluded that the correct answer is (C) $395,000.
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I need the answers asap thank you
Answer:
1) C (Not Sure as Much as I do for #2 & #3)
2) D
3) C
Draw a line graph that shows 10 resampled mean slopes
Using the resampling method, a line graph showing 10 resampled mean slopes can be drawn. Resampling is a statistical technique to generate new samples from an original data set.
A line graph is used to show the change in data over time. Resampling is a statistical technique to generate new samples from an original data set. In resampling, samples are drawn repeatedly from the original data set, and statistical analyses are performed on each sample.
Resampling can be used to estimate the distribution of statistics that are difficult or impossible to calculate using theoretical methods. It is particularly useful for estimating the distribution of statistics that are not normally distributed. To draw a line graph that shows 10 resampled mean slopes, follow the given steps:
Step 1:
Gather the data for resampled mean slopes.
Step 2:
Calculate the mean of the resampled slopes.
Step 3:
Resample the slopes and calculate the mean of each sample.
Step 4:
Repeat Step 3 ten times to get ten resampled means.
Step 5:
Draw a line graph with the resampled means on the Y-axis and the number of samples on the X-axis.
Therefore, a line graph showing 10 resampled mean slopes can be drawn using the resampling method. Resampling is a statistical technique to generate new samples from an original data set. It is particularly useful for estimating the distribution of statistics that are not normally distributed.
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A store has 2000 grocery bags to give away as part of its grand opening. The store is handing out 150 bags per hour. In how many hours will the store have 950 bags remaining? Write an equation that represents this scenario. Then solve.
Answer:
13.3 repeated
Step-by-step explanation:
You need to take 2000 and divide it by 15. Then your answer will come.
*13.3*
Answer:
7 hrs
Step-by-step explanation:
2000 grocery bags
Let x be the number of hours
If they're handing out 150 bags per hour, then 150x would be the amount given out in x hrs.
Since we want to get 950 bags left over a certain number of hrs, make this equation and solve:
950=2000-150x
150x=1050
x=7
Factor the polynomial
3x^4 – 2x^2 + 15x^2 –10 by grouping.
Which product is the factored form of the polynomial?
A.
\(( - x {}^{2} - 5)(3x {}^{2} + 2)\)
B.
\((x {}^{2} - 2)(3x {}^{2} + 5)\)
C.
\((x {}^{2} + 5)(3x {}^{2} - 2)\)
D.
\((3x {}^{2} - 5)(x {}^{2} + 2)\)
The product that is the factored form of the polynomial 3x⁴ - 2x² + 15x² - 10 is (x² + 5)(3x² - 2).
What is a polynomial?In mathematics, a polynomial is an expression consisting of indeterminates (also called variables) and coefficients, that involves only the operations of addition, subtraction, multiplication, and positive-integer powers of variables.
The polynomial is first correctly stated as follows
\(\sf 3x^4 - 2x^2 + 15x^2 -10\)This is rearranged, grouped and solved as follows:
\(\sf 3x^4+15x^2-2x^2-10\)
\(\sf (3x^4+15x^2)-(2x^2+10)\)
\(\sf 3x^2(x^2+5)-2(x^2+5)\)
Factorizing the common factors, we have the product of the factored form of the polynomial as follows:
\(\boxed{\rightarrow\bold{(x^2 + 5)(3x^2 - 2)}}\)
Thus, the product that is the factored form of the polynomial 3x⁴ - 2x² + 15x² - 10 is (x² + 5)(3x² - 2).
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I. The sum of the probabilities in a probability distribution can be any number between 0 and 1. II. The probability of the union of two events is the sum of the probabilities of those events. III. The probability that an event happens is equal to 1 minus the probability that the event does not happen.
None of the above gives the complete set of true responses for the probability that the event does not happen.
What is probability?The field of mathematics concerned with probability is known as probability theory. Although there are various distinct interpretations of probability, probability theory approaches the idea rigorously mathematically by articulating it through a set of axioms. A probability is a number that represents the possibility or chance that a specific event will occur. Probabilities can be stated as proportions ranging from 0 to 1, as well as percentages ranging from 0% to 100%.
Here,
None of the above provides the entire set of accurate replies for the likelihood that the event does not occur.
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is 104.25 a rational or irrational number
Answer:
Rational
Step-by-step explanation:
Irrational numbers go on forever
The decimal number 104.25 is a rational number.
What is a rational number?If the value of a numerical expression is terminating then they are the rational number then they are called the rational number and if the value of a numerical expression is non-terminating then they are called an irrational number.
The decimal number is the sum of a whole number and part of the fraction number. The fraction number is greater than zero but less than one.
The decimal number is given below.
⇒ 104.25
There are only two-digit after the decimal place which means the number gets terminated.
Then the decimal number 104.25 is a rational number.
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5. The Survey of Study Habits and Attitudes (SSHA) is a psychological test, administered to students, that measures attitude towards school. Scores range from 0 to 200. The mean score for U.S. college students is about 117, and the standard deviation is about 23. A teacher who suspects that older students have better attitudes toward school gives SSHA to 40 students who are at least 30 years of age. Their mean score is x¯ = 133.8.
(a) Assuming that σ = 23 for the population of older students, carry out a test of H0 : µ = 117 Ha : µ > 117 Give the Z test statistic and its P-value.
(b) What do you conclude about older students’ attitudes toward school?
(c) Your test in the previous parts requires assumptions in addition to the assumption that the value of σ is known. What are they?
The Z-test statistic is 2.61 and the P-value is 0.0046. Based on the results, it can be inferred that older students exhibit more positive attitudes towards school compared to the average U.S. college student. To conduct the test, certain assumptions are necessary in addition to assuming the known value of σ: the sample is randomly selected from the population, and the population follows a normal distribution.
(a) The null hypothesis is H0: µ = 117 and the alternative hypothesis is Ha: µ > 117, and we will test the null hypothesis using the Z test statistic.
The test statistic Z is calculated as:
Z = (x¯ - µ) / (σ / sqrt(n))
where x¯ is the sample mean, µ is the population mean, σ is the population standard deviation, and n is the sample size.
Substituting the values we get, Z = (133.8 - 117) / (23 / sqrt(40))Z = 2.61The P-value corresponding to Z = 2.61 is 0.0046 using a Z table.
(b) The P-value of the test is 0.0046, which is less than the significance level of 0.05. Therefore, we can reject the null hypothesis and conclude that older students have better attitudes toward school than the average U.S. college student.
(c) The assumptions required for the test in addition to the assumption that the value of σ is known are:
The sample is a random sample from the population.
The population is normally distributed, or the sample size is large enough (n > 30) for the Central Limit Theorem to apply.
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12 identically sized pieces of timber are
x
cm long when put together. How long is each individual piece?
Answer:
\(\frac{x}{12}\) (x/12)
Step-by-step explanation:
if 12 pieces combine to make x, [we know they are identical], each piece must be 1/12 of x [1/12·x = x/12]
(think of it like this: "x" length must be divided amongst 12 pieces, so, we divide x/ 12)
Answer:
Timber=x/12
Step-by-step explanation:
12 pieces long is x, if the length of each one is same, so the length of each one is x/12.
THIS IS ALSO URGENT- I NEED AN ANSWER ASAP PLS!
Answer:
c
Step-by-step explanation:
I had to multiply 4 and 3 to get the answer
PLEASE HELP WITH 73, i can solve it just write it?
PLEASEEEE HELPPOP I WILL MMARK BRAINLIEST
Answer:
A. 6.63 centimeters
B. 57.8 gallons
Step-by-step explanation:
26.5/4=6.625
6.625=6.63
6.63 centimeters
37*24*15=13320
13320/230.4
57.8125
57.8125=57.8
57.8 gallons
Write two like terms using whatever variable(s) you’d like. Be sure to include exponents. Explain why these are like terms.
Answer: 10x^2+7x^2= 17x^2
Step-by-step explanation:
This binomial is alike because they hold the same value of exponent which is why they can be combined, since you add the coefficient of the variables leaving the exponents unchanged.
corey bought 2122 start fraction, 1, divided by, 2, end fraction liters of paint for $60\$60$60dollar sign, 60. what was the cost per liter of paint?
Answer:
the cost per liter of the paint is equal to 24 8/liter
Hope this helps :)
Explain how to calculate 32% of 150
Answer:
32% of 150 is 48.Step-by-step explanation:
32% of 150=> 150 x 32/100=> 3 x 32/2=> 3 x 16=> 48Conclusion:
Therefore, 32% of 150 is 48.
Hoped this helped.
\(GeniusUser\)
If QR=x+29 and PS=x–16, what is the value of x?
Answer: 61
By the triangle midsegment theorem, 2(SP)=RQ.
So, 2(x-16)=x+29, meaning x=61.
Solve the equation 7x-27<8
Answer:
x < 5
Step-by-step explanation:
Three alternatives are presented here: 1. The reaction will take place in a system formed by two reactors of plug flow of 1 m 3
of volume each connected in series. 2. The reaction takes place in a system formed by tw o reactors of perfect mixture connected in series, the first of 0.5 m 3
of volume and the second of 2 m 3
. 3. The reactors of perfect mixture (CSTR) of 1 m 3
of capacity each connected in series. Data: K=2×10 m 3
m 3
/kmols
q 0
=2×10 −3
m 3
/m 3
CA ∘
=1kmol/m 3
CB ∘
=2kmol/m 3
Which of the alternatives proportionate the greatest quality of the product R? Justify your answer mathematically. Q 3. The actual product R does not meet the demand or necessities of the market, for which it has been necessary to do an exploratory study of the way of increasing the production. The reaction has the following Stoichiometry and is elemental in the liquid state:
The alternative that proportionates the greatest quality of the product R is alternative 3. This can be justified mathematically.
In order to determine the greatest quality of the product R, we need to consider the stoichiometry of the reaction and the conditions of the reactors. The fact that the reaction is elemental in the liquid state means that the reaction is highly dependent on the reactant concentrations and the residence time of the reactants in the reactors.
By using plug flow reactors, we ensure that the reactants flow through the reactors without any mixing or backflow. This allows for better control over the reaction conditions and minimizes side reactions.
Alternative 3, which consists of two reactors, will provide a larger total volume for the reaction compared to the other alternatives. This means that the reactants will have a longer residence time in the reactors, allowing for a higher conversion of reactants to product R.
Additionally, the larger volume in alternative 3 will allow for better temperature and concentration control, leading to a higher quality product R.
Therefore, alternative 3 proportionates the greatest quality of the product R based on the stoichiometry of the reaction and the use of plug flow reactors.
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A walking path is being built along the diagonal of a
rectangular park. Determine the length of the path, to the
nearest metre.
A 135 m
B 97 m
C 66 m
D 58 m
Answer:
C
Step-by-step explanation:
BRAINLIEST PLEASE
1) What is the slope of the line given in the table? y -1 -4 A 12 BO C) 1 D) 2 3 -2 7 O
A 90° rotation around the origin followed by a reflection across the line x = 3 maps △JKL, with coordinates J(–2, 2), K(–2, 6), and L(–8, 2), to △PQR. Find the area of △PQR.
Answer: A 90° rotation around the origin maps point (x, y) to (-y, x). So, the image of point J after a 90° rotation is J' = (-2, 2) -> (-2, -2).
A reflection across the line x = 3 maps point (x, y) to (2x - 3, y). So, the image of point J' after a reflection across x = 3 is J'' = (-2, -2) -> (4, -2).
Similarly, we can find the images of K and L:
K' = (-2, 6) -> (-6, -2)
K'' = (-6, -2) -> (-2, -2)
L' = (-8, 2) -> (2, -8)
L'' = (2, -8) -> (8, -2)
Therefore, the image of triangle JKL after the 90° rotation and reflection is triangle PQR, with vertices P = J'', Q = K'', and R = L''.
The area of triangle PQR can be found using the Shoelace Formula:
P = [(4 -2) + (-2 -2) + (8 -2) * (-2 - (-8))]/2 = [6 + 4 * 6]/2 = 30/2 = 15 square units.
So, the area of triangle PQR is 15 square units.
Step-by-step explanation:
An isoline that connects all points of highest mean temperature on a world map is called Group of answer choices the thermal equator. the temperature range line. the highest mean temperature isoline. an isobar.
An isoline that connects all points of highest mean temperature on a world map is called the highest mean temperature isoline.
An isoline is a line on a map that connects points of equal value for a particular variable. In this case, the isoline connects all points of the highest mean temperature, indicating regions with the highest average temperatures.
Therefore, it is referred to as the "highest mean temperature isoline." The other options mentioned are not specifically related to the concept described.
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Can the triangles be proven similar using the SSS or SAS?
The triangles ΔKLM and ΔEFG can be proven similar using both SSS and SAS similarity theorems.
In this question, we need to determine whether the triangles can be proven similar using the SSS or SAS similarities theorems.
For given diagrams,
the ratio of the corresponding sides is:
KM/EG = 8/24
= 1/3
KL/EF = 6/18
= 1/3
and ML/GF = 5/15
= 1/3
The sides of both triangles is proportional .
So by SSS similarity theorem, we have ΔKLM ≈ ΔEFG
Also, ML/GF = 1/3
∠L ≅ ∠F
KL/EF = 1/3
So by SAS similarity theorem, we have ΔKLM ≈ ΔEFG
Therefore, the triangles can be proven similar using both SSS and SAS
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The figure associated to given question is as shown below.
In the study of logic, p q is to be understood in the exclusive sense, whereby if "p" and "q" are both true, the compound claim pvq is, as a whole claim, true. True False
The statement "In the study of logic, p q is to be understood in the exclusive sense, whereby if 'p' and 'q' are both true, the compound claim pvq is, as a whole claim, true" is true.
This principle is known as the exclusive disjunction, which means that the truth value of p v q is only true if either p or q is true, but not both.
In other words, if both p and q are true, then the statement p v q is still considered true because only one of them needs to be true for the whole statement to be true. This concept is essential in the study of logic as it helps to clarify the relationship between different statements and propositions.
Furthermore, this principle is often used in mathematics, computer science, and other fields that rely heavily on logical reasoning. It enables us to make accurate predictions and draw valid conclusions from a set of given premises or statements.
In conclusion, the exclusive disjunction is a crucial concept in the study of logic that helps us understand the truth value of compound claims. Therefore, the statement "In the study of logic, p q is to be understood in the exclusive sense, whereby if 'p' and 'q' are both true, the compound claim pvq is, as a whole claim, true" is true.
In the study of logic, the statement "p ∨ q is to be understood in the exclusive sense, whereby if 'p' and 'q' are both true, the compound claim p ∨ q is, as a whole claim, true" is actually false. This is because the given description refers to the "inclusive" sense of the disjunction (OR) operator, rather than the exclusive sense.
In logic, there are two types of disjunctions: inclusive and exclusive. The inclusive disjunction, represented by p ∨ q, is true when at least one of p or q is true. This means that if both p and q are true, the compound claim p ∨ q is also true, which matches the given description in the question.
On the other hand, the exclusive disjunction, represented by p ⊕ q or p XOR q, is true only when either p or q is true, but not when both are true. If p and q are both true, then the compound claim p ⊕ q is false.
So, the statement in the question actually describes the inclusive disjunction, not the exclusive disjunction, and is therefore false.
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When Nellie Newton hangs at rest in the middle of a clothesline, tensions will be the same in each side of the rope when:
a. the lengths of each rope are the same
b. the angles for both sides of the rope are equal
c. she is in equilibrium
The tensions in each side of the rope will be the same when Nellie Newton hangs at rest in the middle of a clothesline and the lengths of each rope are the same.
When Nellie Newton is in equilibrium, meaning she is at rest and not experiencing any acceleration or movement, the forces acting on her must be balanced. In the case of a clothesline, the tension in each side of the rope contributes to the balancing of forces.
For the tensions to be the same in each side of the rope, the lengths of the ropes must also be the same. This ensures that the forces applied to each side are equal and balanced, resulting in Nellie Newton remaining in a stable position without any net force acting on her.
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How many liters of a 35 percent salt solution must be mixed with 20 liters of a 70 percent salt solution to obtain a solution that is 45 percent salt
86 liters of 35% salt solution should be added to 20 liters of an 70% salt solution so that the resulting solution contains 45% salt solution .
For given question,
Let x be the quantity ( in liters ) of 35 percent salt solution added to 20 liters of an 70 percent salt solution so that the resulting solution contains 45 percent salt,
Thus,
Quantity of salt solution in 20 liters + Quantity of salt solution in x
= Quantity of salt solution in resultant mixture.
⇒ 70% of 20 + 35% of x = 45% of (20 + x )
⇒ 14 + (0.35x) = 0.45 × ( 12 + x )
⇒ 14 + 0.35x = 5.4 + 0.45x
⇒ 14 - 5.4 = 0.45x - 0.35x
⇒ 8.6 = 0.10x
⇒ x = 86 liters
Therefore, 86 liters of 35% salt solution should be added to 20 liters of an 70% salt solution so that the resulting solution contains 45% salt solution .
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