Simplify. 8(2x - 3) + 11x
Answers
Answer:
27x-24
Step-by-step explanation:
Using distributive property, we can simplify 8(2x-3) to 16x-24. That becomes 16x-24+11x.
Then, we can add 16x and 11x to get 27x.
The answer will be 27x-24.
I hope you found this helpful, and if it was, please mark this answer as brainliest! Thank you! :)
8*2x=16x 8*-3=-24
16x+11x=27x
Related Questions
Manuel is thinking about ordering some graphic T-shirts online. They cost $9 each, and shipping costs $8 regardless of order size. Write an equation that shows the relationship between the number of T-shirts Manuel buys, x, and the total amount he will pay, y. Do not include dollar signs in the equation.
Answers
Answer:
y = T(x) = 8 + (9/shirt)x
Step-by-step explanation:
Represent "total amount" by T(x). Then:
y = T(x) = 8 + (9/shirt)x
Here the shipping cost ($8) is a fixed cost and the cost of the x shirts is ($9/shirt)(x), where x is the number of shirts bought.
Note that this is a linear equation, and that 8 represents the vertical intercept and (9/shirt) the slope of the line representing the total cost.
The equation that shows the relationship between the number of T-shirts Manuel buys, x, and the total amount he will pay, y is y = 9x + 8.
The total amount Manuel will pay consists of the cost of the T-shirts and the shipping cost.
The cost of the T-shirts is $9 each, and the shipping cost is a flat $8.
The equation that shows the relationship between the number of T-shirts Manuel buys (x) and the total amount he will pay (y) can be written as y = 9x + 8.
Hence, y = 9x + 8 is the equation that shows the relationship between the number of T-shirts Manuel buys, x, and the total amount he will pay, y.
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Find the exact length of the polar curve. r=e^7θ ,0≤θ≤2π
Answers
The exact length of the polar curve \(r=e^7θ, 0 ≤ θ ≤ 2π is 5√2[(e^14π - 1)/7].\)
Given the polar curve \(r=e^7θ, 0 ≤ θ ≤ 2π.\)
We are to find the exact length of the polar curve.
Using the formula for arc length, the length of a curve is given by
\(L = ∫ sqrt[1 + (dy/dx)^2]dx`\) from a to b` where a and b are the starting and ending points of the curve, respectively.
The formula for calculating the length of a polar curve is
\(L = ∫sqrt [r^2 + (dr/dθ)^2]dθ\) `from a to b``where a and b are the starting and ending points of the curve, respectively.
We will use this formula to find the length of the given curve.
Here, r = e^7θ and 0 ≤ θ ≤ 2π.
So, dr/dθ = 7e^7θ
Now, substituting the values in the formula,
\(L = ∫sqrt [r^2 + (dr/dθ)^2]dθ`from 0 to 2π`\)
\(= ∫sqrt [e^14θ + (7e^7θ)^2]dθ\)
\(= ∫sqrt [e^14θ + 49e^14θ]dθ`\)
\(= ∫sqrt [50e^14θ]dθ`\)
\(= 5√2 ∫e^7θdθ`\)
\(= 5√2[e^7θ / 7]`from 0 to 2π`\)
\(= 5√2[(e^14π - 1)/7]\)
Therefore, the exact length of the polar curve is \(5√2[(e^14π - 1)/7].\)
Thus, the detail ans for the exact length of the polar curve
\(r=e^7θ, 0 ≤ θ ≤ 2π is 5√2[(e^14π - 1)/7].\)
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Science questions often require you to solve word problems. every insect had between twenty-six and forty-seven eggs hatch each spring. there were fourteen insects. all of that said, what were the least possible and the most possible numbers of insect eggs hatched in the spring?
Answers
Answer:
364 and 658
Step by step explanation:
i got it right
Answer:
364 & 658
Step-by-step explanation:
A -10 nC charge is located at (x, y) = (1.2 cm , 0 cm).
What is the x-component of the electric field at the position (x, y) = (−4.1cm, 0 cm)?Express your answer to two significant figures and include the appropriate units.
Answers
We can use Coulomb's law to calculate the magnitude of the electric field at a distance r away from a point charge Q:
E = k * Q / r^2
where k is Coulomb's constant, Q is the charge of the point charge, and r is the distance from the point charge.
In this problem, we have a point charge Q of -10 nC located at (1.2 cm, 0 cm), and we want to find the x-component of the electric field at a distance r = 5.3 cm away at position (-4.1 cm, 0 cm).
To find the x-component of the electric field, we need to use the cosine of the angle between the electric field vector and the x-axis, which is cos(180°) = -1.
So, the x-component of the electric field at position (-4.1 cm, 0 cm) is:
E_x = - E * cos(180°) = - (k * Q / r^2) * (-1)
where k = 9 x 10^9 N*m^2/C^2 is Coulomb's constant.
Substituting the given values, we get:
E_x = - (9 x 10^9 N*m^2/C^2) * (-10 x 10^-9 C) / (0.053 m)^2
E_x ≈ -30,566.04 N/C
Rounding this to two significant figures and including the appropriate units, we get:
The x-component of the electric field is about -3.1 x 10^4 N/C (to the left).
the humane society reports that of 428 animals at their local animal shelter, 376 are household pets and the remaining 52 are wildlife animals. over the weekend, 29 of the household pets were adopted and 10 of the wildlife animals were released back into the wild. is there sufficient evidence to indicate a difference in the number of animals leaving the shelter over the weekend for the two types (household pets and wildlife animals)? use the p-value approach at the 1% level of significance.
Answers
There is sufficient evidence to believe that the number of household pets leaving the shelter over the weekend is different from the proportion of wildlife animals leaving the shelter over the weekend.
How to prove it there's sufficient evidenceTo determine if there's sufficient evidence,
Let us define the null and alternative hypotheses for this test as follows:
Null hypothesis (H0): The proportion of household pets leaving the shelter over the weekend is the same as the proportion of wildlife animals leaving the shelter over the weekend.
Alternative hypothesis (Ha): The proportion of household pets leaving the shelter over the weekend is different from the proportion of wildlife animals leaving the shelter over the weekend.
The test statistic for two sample test is given by:
z = (p1 - p2) / sqrt(p * (1 - p) * (1/n1 + 1/n2))
where
p1 and p2 are the proportions of household pets and wildlife animals leaving the shelter over the weekend, respectively,
p is the pooled proportion,
n1 and n2 are the sample sizes for household pets and wildlife animals, respectively.
Pooled proportion is
p = (x1 + x2) / (n1 + n2)
where x1 and x2 are the number of household pets and wildlife animals leaving the shelter over the weekend, respectively.
Given
-n1 = 376, n2 = 52, x1 = 29, x2 = 10
p = (29 + 10) / (376 + 52) = 0.091
The observed proportions are:
p1 = x1 / n1 = 29 / 376 = 0.0771
p2 = x2 / n2 = 10 / 52 = 0.1923
The test statistic value
z = (0.0771 - 0.1923) / sqrt(0.091 * (1 - 0.091) * (1/376 + 1/52)) = -3.04
By using a standard normal distribution table,
The p-value is 0.00238.
Since the p-value (0.00238) is less than the level of significance (0.01), we reject the null hypothesis and conclude that there is sufficient evidence to indicate a difference in the number of animals leaving the shelter over the weekend for household pets and wildlife animals.
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The average age of piñon pine trees in the coast ranges of California was investigated by placing 500 10-hectare plots randomly on a distribution map of the species using a computer. Researchers then found the location of each random plot in the field, and they measured the age of every piñon pine tree within each of the 10-hectare plots. The average age within the plot was used as the unit measurement. These unit measurements were then used to estimate the average age of California piñon pines.
Is the estimate of age based on 500 plots influenced by sampling error?
No, because the researchers selected the 10-hectare plots using random sampling.
Yes, because the researchers used the sample of 10-hectare plots obtained by nonrandom sampling.
Yes, because the estimate of age is affected by which plots made it into the random sample and which did not.
No, because the estimate of age is not affected by which plots made it into the random sample and which did not.
Answers
The estimate of age based on 500 plots is influenced by sampling error, but the degree of influence depends on the nature of the random sampling used.
In this case, the researchers selected the 10-hectare plots randomly using a computer, which is a form of probability sampling. This means that each plot had an equal chance of being included in the sample, and the resulting estimate of age is unbiased.
However, there will still be some sampling error due to variability within the sample. Even if the sample is representative of the larger population, the estimates of average age within each plot will vary somewhat from the true population mean due to chance variations in the ages of the piñon pine trees.
The overall estimate of average age is based on the sample means, so it too will be subject to sampling error.
Therefore, while the researchers took steps to minimize bias by using random sampling, the estimate of age based on 500 plots is still influenced by sampling error. However, the degree of influence may be relatively small depending on the size of the sample and the variability of the population. Larger samples are more likely to produce estimates that are closer to the true population mean, while greater variability within the population will increase the amount of sampling error.
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What is the domain of the function y = X+ 6 -7?
x>-7
x>-6
x>6
x>7
Answers
The domain of the function y = √(x + 6) - 7 is x > -6
How to determine the domain of the function?The equation of the function is given as
y = √(x + 6) - 7
Set the radical greater than 0
x + 6 > 0
Subtract 6 from both sides of the equation
x > -6
Hence, the domain of the function y = √(x + 6) - 7 is x > -6
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The domain of the function in discuss described as; y = √x+6 -7 is; x >= -6.
What is the domain of the function described as in the task content above?According to the task content, it follows that the domain of.the function can be evaluated by means of the characteristics associated with the square root.
The function given is; y = √x+6 -7
Since, the square root of a negative number renders a complex number as it's results, it follows that; x+6 >= 0.
Hence, x >= -6.
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Lamont has a bar of chocolate. He breaks it into two pieces, where one part is 35% of the original chocolate. If the chocolate bar is 15 inches in length, how long is the longer piece?
Answers
The length of longer piece, which is 65% of original bar, 9.75 inch.
What is a percentage?A ratio or value that may be stated as a fraction of 100 is called a percentage. And it is represented by the symbol '%'.
Given that length of chocolate bar is 15 inch.
And Lamont breaks it into two pieces.
one part has 35% of original bar,
so other part has 100 - 35 = 65% of original chocolate bar.
Now, 65% of 15 inch
= 15 × 65 / 100
= 9.75 inch
Therefore, the length of longer piece, which is 65% of original chocolate bar, 9.75 inch.
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-8.2 +9.1
Yes I’m just making sure I got this question right but tell me what the answer is pls!
Answers
Answer:
0.9 is your answer.
What is the slope of the line in this graph?
Answers
Answer:
The slope of the line is 7/5.
Step-by-step explanation:
To find the slope, first, find two points. On this line, two points are 0,0 and 7,5. Using the slope formula, we get 7-0/5-0. This gives 7/5, and that's the slope.
Hope this helps!
Please give brainliest
HEY CAN ANYONE PLS ANSWER DIS MATH QUESTION!!!
Answers
Answer:
85% of 19 = 16.15
Step-by-step explanation:
Which of these is not a trait of cnidarians?
spicules
a mouth
stinging cells
nervous system
Answers
Answer:
A. mount
Step-by-step explanation:
Semoga bermanfaat
Which of these is not a trait of cnidarians?
spicules
a mouth
stinging cells
nervous system
Answer:
the answer is C
Step-by-step explanation:
I need to complete 4. in the same format as 3. how does this work
Answers
ok
\(7\frac{1}{4}\text{ - 2}\frac{13}{16}\text{ = }\frac{29}{4}\text{ - }\frac{45}{16}\text{ = }\frac{116}{16}\text{ - }\frac{45}{16}\text{ = }\frac{71}{16}\text{ = 4}\frac{7}{16}\)Result = 4 7/16
Can you do the 4 and show your work if you can please ^^
Answers
7=-t-1
t=-1-7
Calculate the difference
t=-8 ( here’s your answer)
6139m=_____km. answer pls i beg
Answers
Answer:
6.139km
Step-by-step explanation:
1000m = 1km
6139m = 6139/1000km = 6.139km
Answer:
6.139 km
Step-by-step explanation:
1 m = (1/1000) m
So, 6139 m
= (6139/1000) km
= 6.139 km
can someone please help me
Answers
Answer:
1 - 50
5 - 90
10 - 140
50 - 540
Step-by-step explanation:
The rate of change is 10/1, while the Y-intercept is 40. The equation would be Y=10x+40
How do you know if a coefficient is positive or negative?
Answers
A coefficient is a numerical value that is used to indicate the strength of a relationship between two variables in a mathematical equation. we can find if they are negative or positive by observing the sign in front of them.
Generally speaking, positive coefficients indicate a positive relationship between the two variables, meaning that as one variable increases, the other variable increases as well. Negative coefficients, on the other hand, indicate a negative relationship between the two variables, meaning that as one variable increases, the other variable decreases.
In addition to the sign of the coefficient, the magnitude of the coefficient can also be used to determine the strength of the relationship between the two variables. A larger coefficient indicates a stronger relationship, while a smaller coefficient indicates a weaker relationship.
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What is 16% of 175 I need help
Answers
16/100= 0.16
175•0.16= 28
Answer: 28
Step-by-step explanation:
16% = 0.16
Percents are just decimals!
Now you can put this in your calculator, and you will get 28.
However:
It might help you later to know that x% of y = y% of x
In other words, 16% of 175 is the same thing as 175% of 16
This problem is easier, since we can break 175% into 1 and 3/4th. 3/4th of 16 is easy to calculate, (its 12), and so we can add 12 to 16 to find the answer, which is still 28 :)
No calculator needed!
Solve the equation for b. 5(b-2) = 5 b=[?]
Answers
The solution of the equation 5 (b -2) = 5 for the variable, b as required to be determined is; b = 3.
What is the solution of the given equation?As evident in the task content, the given equation is; 5 (b -2) = 5.
By the distributive property; we have that;
5b - 10 = 5
Add 10 to both sides
5b = 15
divide both sides by 5
b = 3.
Ultimately, it can be inferred that the solution of the equation is; b = 3.
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Solve 14x+10 ≥ 9x + 15.A. x2 1B. x2 5C. x≤ 5D. x≤ 1
Answers
Given:
The given inequality is,
\(14x+10\ge9x+15\)Required:
To solve the inequality.
Answer:
Let us solve the inequality.
\(\begin{gathered} 14x+10\ge9x+15 \\ \Rightarrow14x-9x\ge15-10 \\ \Rightarrow5x\ge5 \\ \Rightarrow\frac{5x}{5}\ge\frac{5}{5} \\ \Rightarrow x\ge1 \end{gathered}\)Final Answer:
We get the solution as:
\(x\ge1\)Option A
Find the value
of each variable.
Answers
Answer:
y=37 degrees(vertical angles)
x=180-37(linear pair)=143 degrees
z=143 degrees(vertical angles)
Hope it helps!
Answer:
x = 180° - 37° = 143°
y = 37°
z = 180° - 37° = 143°
assume that the probability of rain tomorrow is 0.20. what is the probability that the system will function tomorrow?
Answers
The probability that the system will function tomorrow is 0.2495 or 24.95%.
To find the probability that the system will function tomorrow, we need to find the probability that at least 4 out of the 6 components will function.
On a rainy day, the probability of 4 components functioning is given by:
P(rainy day and 4 components functioning) = C(6, 4) × (0.5)⁴ × (0.5)² = 15 × 0.0625 × 0.25 = 0.2344
On a non-rainy day, the probability of 4 components functioning is given by:
P(non-rainy day and 4 components functioning) = C(6, 4) × (0.8)⁴ × (0.2)² = 15 × 0.4096 × 0.04 = 0.2534
Now we can find the overall probability of the system functioning tomorrow by using the law of total probability:
P(system functioning tomorrow) = P(rainy day and 4 components functioning) × P(rain) + P(non-rainy day and 4 components functioning) × P(non-rain)
= 0.2344 × 0.20 + 0.2534 × 0.80
= 0.0468 + 0.2027
= 0.2495
Therefore, the probability that the system will function tomorrow is 0.2495 or 24.95%.
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--The given question is incomplete; the complete question is
"A k out of n system is one in which there is a group of n components, and the system will function if at least k of the components function. For a certain 4 out of 6 systems, assume that on a rainy day, each component has a probability of 0.5 of functioning and that on a non-rainy day, each component has a probability of 0.8 of functioning.
Assume that the probability of rain tomorrow is 0.20. What is the probability that the system will function tomorrow?"--
Nadia is mountain climbing. She started at an altitude of 19.26 feet below sea level and then changed her altitude by climbing a total of 5,437.8 feet up from her initial position. What was Nadia’s altitude at the end of her climb?
Answers
Answer:
5418.54 ft
Step-by-step explanation:
So sea level is 0, okay? So Nadia (her name is more than 3 letters and I'm lazy so from now on she'll be reffered to as "N") is at -19. 26 ft. N goes up 5,437.8 ft, so we add this value on.
-19. 26+ 5437.8= 5418.54
Now just add on the units!
Hope this helps!
Answer:
Answer:
5418.54 ft
Step-by-step explanation:
Answer:
5418.54 ft
Step-by-step explanation:
So sea level is 0, okay? So Nadia (her name is more than 3 letters and I'm lazy so from now on she'll be reffered to as "N") is at -19. 26 ft. N goes up 5,437.8 ft, so we add this value on.
-19. 26+ 5437.8= 5418.54
Marian Plunket owns her own business and is considering an investment. if she undertakes the investment, it will pay $28,000 at the end of each of the new 3 years. the opportunity requires an initial investment of $7,000 plus an additional investment at the end of the second year of $35,000. what is the NPV of this opportunity if the interest rate is 8% per year? Should Marian take it?
Answers
The NPV is positive, it is worth taking the Investment.
Net Present Value (NPV) is an assessment method that determines the attractiveness of an investment. It is a technique that determines whether an investment has a positive or negative present value.
This method involves determining the future cash inflows and outflows and adjusting them to their present value. This helps determine the profitability of the investment, taking into account the time value of money and inflation.The formula for calculating NPV is:
NPV = Σ [CFt / (1 + r)t] – CIWhere CFt = the expected cash flow in period t, r = the discount rate, and CI = the initial investment.
The given problem can be solved by using the following steps:
Calculate the present value (PV) of the expected cash inflows:
Year 1: $28,000 / (1 + 0.08)¹ = $25,925.93Year 2: $28,000 / (1 + 0.08)² = $24,009.11Year 3: $28,000 / (1 + 0.08)³ = $22,173.78Total PV = $72,108.82
Calculate the PV of the initial investment: CI = $7,000 / (1 + 0.08)¹ + $35,000 / (1 + 0.08)²CI = $37,287.43Calculate the NPV by subtracting the initial investment from the total PV: NPV = $72,108.82 – $37,287.43 = $34,821.39
Since the NPV is positive, it is worth taking the investment.
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Help me solve this question!
Answers
The volume of foam needed for the 45 cones is
v = 16,956 cm³
How much foam is needed to make 45 cones?
We know that the volume of a cone of diameter F and height H is:
V = pi*(D/2)²*H/3
Where pi = 3.14
Here we know that:
D = 12cm
H = 10cm
And we want to find the volume of 45 of these cones, so the total volume of foam needed is:
v = 45*V = 45*(3.14*(12cm/2)²*10cm/3
v = 16,956 cm³
That is the volume of foam needed.
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determine whether the sequence converges or diverges. if it converges, find the limit. (if an answer does not exist, enter dne.) an = 2 − (0.2)n lim n→[infinity] an =
Answers
The sequence converges to a limit of 2.
A convergent sequence is one whose limit exist and is finite. A divergent sequence is one whose limit doesn't exist or is plus infinity or minus infinity. If the sequence of partial sums is a convergent sequence then the series is called convergent. If the sequence of partial sums is a divergent sequence then the series is called divergent.
To determine whether the sequence converges or diverges, we can observe that as n approaches infinity, the term (0.2)^n becomes very small and approaches zero. Thus, the limit of the sequence as n approaches infinity is:
lim n→[infinity] an = 2 - lim n→[infinity] (0.2)^n
Since the limit of (0.2)^n as n approaches infinity is zero, we have:
lim n→[infinity] an = 2 - 0 = 2
Therefore, the sequence converges to a limit of 2.
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Alexander was offered a job that paid a salary of $34,000 in its first year. The salary was set to increase by 4% per year every year. If Alexander worked at the job for 5 years, what was the total amount of money earned over the 5 years, to the nearest whole number?
Answers
The total amount that is earned by Alex in five years is $41528.
What is the total amount that he earns in five years?We have to note that we need to look at the equation that shows the raise in the salary of Alex and we can be able to write from the equation that;
A =Pe^rt
A = amount that is earned after t years
r = rate of the increase of the salary
t = time taken to increase the salary
We now know from the question that
A = ?
P = $34,000
r = 0.04
t = 5
Thus;
A = 34000e^(0.04 * 5)
A = $41528
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What is the slope of the linear represents by the equation y = 4/5 x -3
Answers
Answer:
4/5
Step-by-step explanation:
y = mx + b
4/5 = m = slope
Answer:
The slope is 4/5.
Step-by-step explanation:
It's a linear equation. Which means that you can graph a "line" out of it.
The format is y=mx+b
mx=slope
b= y-intercept.
The slope is 4/5.
a sample of a material has 2000 radioactive particles in it today. your grandmother measured 4000 radioactive particles in it 80 years ago. how many radioactive particles will the sample have 80 years from today?
Answers
Radioactive particles 2000 the sample have 80 years from today.
We have the information:
There is 2000 radioactive particles in a sample.
and, your grandmother measured 4000 radioactive particles in it 80 years ago.
We have to find the samples of radioactive particles present it in 80 years from today.
By the definition of Half line, The half line of the item is 80 years.
=> 80 years from now, means that another half life is achieved means, 2000 will reduced to half on decay.
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find the numbers, both smaller than 80, that have a lowest common multiple of 504 and a highest common factor of 6.
Answers
Answer:
504 = 12 x 42
Step-by-step explanation:
The highest common factor of 12 and 42 is 6.
So, the numbers are 12 and 42.
You're welcome! :)