Answer:
1368Step-by-step explanation:
72-(-18) × 72
Follow PEMDAS order of operations:-
72-(-18) × 72
Multiply:-
(-18) × 72 = -129672 - ( -1296)Add :-
72 + 12961368_____________________
Hope this help!
Which line is an irregular line of blank verse?
“He only says, ‘Good fences make good neighbours.’”
“If I could put a notion in his head:”
“And on a day we meet to walk the line”
“And set the wall between us once again.”
THE ANSWER IS THE FIRST ONE
Identify the irregularity in the line.
THE ANSWER IS THE SECOND ONE
The line that is an irregular line of a blank verse is A . “ He only says , ‘Good fences make good neighbours. ”
The irregularity of the line is that it has 11 syllables while other lines have 10 syllables .
What is a blank verse ?Unrhymed but metric poetry with usually always iambic pentameter is referred to as "blank verse" in literature.
Going by the definition, the three bottom lines are regular lines in a blank verse as they have 10 syllables. However, the first line, has 11 syllables, thereby making it irregular.
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Describe a real-life situation where the median and the interquartile range are likely the best measures of center
and variation to describe the data. Explain your reasoning.
One real-life situation where the median and the interquartile range are likely the best measures of center and variation to describe the data is in income distribution analysis.
Income distribution is often highly skewed, with a few high-income earners at one end and a larger number of lower-income earners at the other end. In such cases, the mean can be heavily influenced by extreme values, such as a small number of very high incomes, leading to a distorted representation of the typical income level.
The median, on the other hand, is not affected by extreme values and represents the middle value of the income distribution. It provides a more accurate measure of the central tendency of the data, representing the income level that separates the higher half from the lower half of the population.
The interquartile range (IQR) is a measure of dispersion that captures the spread of the middle 50% of the data. It is calculated as the difference between the third quartile (Q3) and the first quartile (Q1).
The IQR is less sensitive to extreme values and outliers than the range or standard deviation, making it a robust measure of variability. In income distribution analysis, the IQR can provide insights into the income gap between the middle-income earners, which may be more representative of the majority of the population.
By using the median and the interquartile range in income distribution analysis, we can obtain a more accurate understanding of the central tendency and variation in income levels, without being overly influenced by extreme values that can skew the mean and other measures of dispersion.
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Which of the following conclusions do you draw if the p-value is not small enough to convincingly rule out chance?
a. We cannot reject the null hypothesis.
b. We accept the null hypothesis.
c. We are convinced that chance alone produced the observed results.
d. We accept the alternative hypothesis.
The conclusion is option A, we cannot reject the null hypothesis.
What is hypothesis?An assumption or concept is given as a hypothesis for the purpose of debating it and testing if it might be true.
The null hypothesis cannot be rejected for the entire population if your sample is not sufficiently incompatible with it, which can be determined if your P value is small enough.
Therefore, we can not reject the hypothesis.
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Solve using substitution.
–10x + 6y = 14
x = 4
Answer:
9
Step-by-step explanation:
x=4 then -10(4)+6y=14
6y-40=14
6y=40+14=54
y=54/6=9
f(x) = 3log(x + 7) - 5?
Answer:
12
Step-by-step explanation:
Simplify 3 log(x+7) by moving 3 inside the parentheses with 7.f(x)=log((x+7)3)−5
Which expression is equivalent to 108 -
-3?
O 5.31
O 6/31
07/31
O 8/31
Answer:
5√3i
Step-by-step explanation:
√-1 = i
So √-108 must equal √108(i)
√108 = √9 * √12 = 3 * √3 * √4 = 6√3i
√-3 = √3i
6√3i - √3i = 5√3i
-Chetan K
The equivalent expression for the given expression is 5√3i. Therefore, option A is the correct answer.
What is an equivalent expression?Equivalent expressions are expressions that work the same even though they look different. If two algebraic expressions are equivalent, then the two expressions have the same value when we plug in the same value for the variable.
The given expression is √(-108)-√(-3).
The expression √(-108)-√(-3) can be simplified as follows
6√3i-√3i
= 5√3i
Therefore, option A is the correct answer.
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double the second number, the sum is 34."
a. Write an equation that represents this clue. Then, find two possible pairs of
numbers Diego could be thinking of.
b. Diego then says, "If we take half of the first number and double the second, the
sum is 14."
Write an equation that could represent this description.
c. What are Diego's two numbers? Explain or show how you know. A coordinate
plane is given here, in case helpful.
20
18
16
14
12
second number
10
8
6
4
2
2 4 6 8 10 12 14 16 18 20
first number
Answer:
a.) 3x+2y=34 is the equation. 2 pairs could be 10,2 and 8,5.
b.) .5x+2y=14
c.) 8,5
Step-by-step explanation:
because both 8 and 5 work in both equations 3(8)+2(5)=34
.5(8)+2(5)=14
please answer!!
Graphs of Linear Functions
write an equation for a line parallel to y= 2x- 4 and passing through the point (2,7)
y= ?
Answer:
Y= -8
Step-by-step explanation:
i think so......
KKKKKKKKKKKKKKKKKKK
Find the value of x, 6,4, 3x, 4x+1
Answer:
If two chords intersect in a circle, then the product of the segments of one chord equals the product of the segments of the other chord.
6(3x) = 4(4x + 1)
18x = 16x + 4
2x = 4
x = 2
If a card is picked at random from a standard 52-card deck, what is the probability of getting a heart or a 8 of clubs? Give your answer as a fraction.
Given:
Number of hearts in deck of cards = 13
Number of 8 of clubs in a deck of cards = 1
Required: Probability of getting a heart or a 8 of clubs
Explanation:
Probability of getting a heart = 13/52
Probability of getting 8 of clubs = 1/52
Use the formula
\(P(A\cup B)=P(A)+P(B)-P(A\cap B)\)Therefore,
\(\begin{gathered} P(\text{ a heart or a 8 of clubs\rparen = P\lparen a heart\rparen+P\lparen a 8 of clubs\rparen-P\lparen a heart and a 8 of club\rparen } \\ =\frac{13}{52}+\frac{1}{52}-0 \\ =\frac{14}{52} \\ =\frac{7}{26} \end{gathered}\)Final Answer: Probability of getting a heart or a 8 of clubs is 7/26.
For the following sequence, state the common difference, identify which is the explicit form and which is the recursive form of the rule, and find the term listed.
Sequence: 0,100,200,300,…
Common difference: ?
An=-100+100n
explicit or recursive?
An=an-1+100
A1=0
Explicit or recursive?
The explicit form of the sequence is an = 100n - 100
What is Recursive functions?Given the recursive functions as;
an = an−1+100
Sequence: 0,100,200,300,…
first term (a) = -0
Common difference of the A.P.
(d) = 100- 0 = 100
The explicit form of the sequence is
an = a + (n-1)d
an = 0 + (n-1)(100)
an = 0 + 100n -100
an = 100n - 100
Hence the explicit form of the sequence is an = 100n - 100
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what is the volume of a unit cube?
Step-by-step explanation:
Volume of unit cube= (1)³ unit³= 1 unit³
An open box is constructed from a sheet of A4-size paper by cutting equal-size squares from the four corners and then folding the resulting tabs upwards. If A4-size is 210 mm by 300 mm, what is the maximum possible volume that the box can have?
The maximum possible volume that the box is 446,514.56 cubic millimeters.
Let's assume that we cut squares with side length "x" from each corner of the A4-size paper.
When we fold the resulting tabs upwards, the dimensions of the base of the box will be reduced by 2x on each side.
Therefore, the length of the base of the box will be (300 - 2x) mm, and the width will be (210 - 2x) mm.
The height of the box will be equal to the side length of the squares we cut, which is "x" mm.
The volume of the box is given by the product of its length, width, and height:
Volume = (300 - 2x) (210 - 2x) x
To find the maximum possible volume, we can take the derivative of the volume function with respect to "x" and set it equal to zero:
dV/dx = 0
dV/dx = (300 - 2x)(210 - 2x) + x(-2)(210 - 2x) = 0
(300 - 2x)(210 - 2x) - 2x(210 - 2x) = 0
(300 - 2x)(210 - 2x) - 420x + 4x² = 0
63000 - 840x + 4x² - 420x + 4x² - 420x + 4x³ = 0
8x³ - 1680x + 63000 = 0
x³ - 210x + 7875 = 0
On solving we get x= 46.4 mm
Now, Volume = (300 - 246.4)(210 - 246.4 46.4
= 446,514.56 cubic millimeters.
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Angle sum theorem y=? Degrees
Answer:
2x + 70 = 110
x = 20
Step-by-step explanation:
180-110 = 70
70 + 20 + y = 180
y =90
In which quadrant does the point (8, 14) lie?
OA Quadrant 1
OB Quadrant II
OC Quadrant IV
OD. Quadrant III
I can mark brainliest! :)
A pizza was cut into 8 equal pieces, Juan ate 3 of the slices. It the diameter of the pizza is 12 inches, what is the
area of the pizza that Juan ate? Find the answer to the nearest tenth.
Answer:
42.4
Step-by-step explanation:
A = πr^2 = π·6^2 ≈ 113.09734
113.1 is the overall area of the pizza, now you must divide the area by 8 because there are 8 slices.
113.1/8 = 14.14
14.14 is the area of each slice so multiply that by 3 because thats the amount of slices juan ate.
14.14·3 = 42.4
*The answer should be roughly 42.4, i rounded the answers in each step so if your quiz/exam has multiple choice it may not be this exact number but just about the same.*
Simplify (-2)^4(-2) =
(3st)^2 =
7^0=
Answer:
-32
Step-by-step explanation:
Mayzie's Masks has a monthly demand of 250 masks. It costs $100 to place an order
and the holding cost is 20% of the cost of a mask, which is $30. What is the total
cost?
Answer:
$951
Step-by-step explanation:
EOQ = Sqroot{(2*Annual Demand*Ordering cost)/Holding cost}
= Sqroot{(2*250*12*100)/(0.2*30)}
= 317 Units Approximately
Total Holding cost = Average Inventory * Holding cost per unit
= (EOQ/2)*Holding cost per unit
= (317/2)*(0.2*30)
= $951
So by knowing the holding cost and the percentage that it represents, we want to find the total cost of the masks. We will find that the cost is $150.
We know that the holding cost is 20% of the cost of a single mask, so if the cost of a mask is C, the holding cost is:
(20%/100%)*C = 0.2*C
And we know that this is equal to $30, so we get:
0.2*C = $30
Now we can solve this for C, the total cost of a mask:
C = $30/0.2 = $150.
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The function h(t) = -16t2 + 48t + 28 models the height (in feet) of a ball where t is the time (in seconds).
What is the maximum height that the ball reaches? Just write the numerical answer - do not include h = or any units in your
answer.
Answer:
64
Step-by-step explanation:
[using calculus] When the function h(t) reaches its maximum value, its first derivative will be equal to zero (the first derivative represents velocity of the ball, which is instantaneously zero). We have \(h'(t) = -32t + 48\), which equals zero when \(t = 3/2 = 1.5\). The ball therefore reaches its maximum height when t = 1.5. To find the maximum height, we need to find h(1.5), which is 64 feet.
[without calculus] This is a quadratic function, so its maximum value will occur at its vertex. The formula for the x-coordinate of the vertex is -b/2a, so the maximum value occurs when t = -48/(2*16), which is 1.5. The maximum height is h(1.5), which is 64 feet.
quanto fa uno + uno + quattro
Answer: 6
Step-by-step explanation:
1 + 1 + 4
2 + 4
6
which of the following numbers are prime? pick all that are correct.
A prime number is a natural number that only has two divisors: itself and 1. In other words, the quotient of the division is a natural number.
Knowing this, let's analize the numbers we were given:
2 is a prime number, since it can only be divided by itself and 1.
21 is not a prime number, since it can be divided by itself, 1, 2, 3 and 7.
8 is not a prime number, since it can be divided by itself, 1, 2 and 4.
29 is a prime number since it can only be divided by itself and 1.
83 is a prime number since it can only be divided by itself and 1.
Finally, 49 is not a prime number since it can be divided by itself, 1 and 7.
In conclusion, the prime numbers from the given list are 2, 29 and 83.
Solve for the unknown. q- 5/6=1 5/6
Answer:
q=8/3
Step-by-step explanation:
First, add 5/6 to both sides to get rid of -5/6 to get q=16/6 then simplify to q=8/3.
Answer:
\(q=2\frac{2}{3}\)
Step-by-step explanation:
The given equation consists of a fraction and a mixed number.
First, convert the mixed number into an improper fraction by multiplying the whole number by the denominator of the fraction, adding this to the numerator of the fraction, and placing the answer over the denominator:
\(q-\dfrac{5}{6}=1 \frac{5}{6}\)
\(q-\dfrac{5}{6}=\dfrac{1 \cdot 6+5}{6}\)
\(q-\dfrac{5}{6}=\dfrac{11}{6}\)
Now, add 5/6 to both sides of the equation to isolate q:
\(q-\dfrac{5}{6}+\dfrac{5}{6}=\dfrac{11}{6}+\dfrac{5}{6}\)
\(q=\dfrac{11}{6}+\dfrac{5}{6}\)
As the fractions have the same denominator, we can carry out the addition by simply adding the numerators:
\(q=\dfrac{11+5}{6}\)
\(q=\dfrac{16}{6}\)
Reduce the improper fraction to its simplest form by dividing the numerator and denominator by the greatest common factor (GCF).
The GCF of 16 and 6 is 2, therefore:
\(q=\dfrac{16\div 2}{6 \div 2}\)
\(q=\dfrac{8}{3}\)
Finally, convert the improper fraction into a mixed number by dividing the numerator by the denominator:
\(q=2 \; \textsf{remainder}\;2\)
The mixed number answer is the whole number and the remainder divided by the denominator:
\(q=2\frac{2}{3}\)
For questions 1-3, find the surface area
1.
8
-10-
2.
The surface area of the rectangular prism is calculated as 340 unit²
What is the surface area of the rectangular prism?The surface area of the prism can be calculated as the sum of surface area of two rectangular prism.
The formula of a rectangular prism is given as;
S.A = 2[(lh + wh + lw)]
l = lengthw = widthh = heightSubstituting the values into the formula;
S.A = 2[(10*8) + (5 * 8) + (10 * 5)]
S.A = 2[80 + 40 + 50]
S.A = 2 * 170
S.A = 340 unit²
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(x2 – 3x + 2)/(4x - 16)
Answer:
Pretty sure it's x^2−3x+2/4x-16
Step-by-step explanation:
Which formula can be used to describe the sequence? - 2/3, -4, -24, -144
Answer:
They are all multiplied by 6
Answer:
Geometric sequence.
Step-by-step explanation:
Here are the terms :
-2/3, -4, -24, -144
Now the first term T1 = -2/3
The second Term T2 = -4
But T2/T1 = -4÷ -2/3 = -4 x -3/2 = 6
Similarly Term 3, T3 = -24
T3/T2 = -24/-4= 6
Hence the expression is a geometric sequence.
a×r^(n-1); a is the first term
r is the common ratio 6
n is the number of terms.
Using the graph below, what would the y-value (range) be for an x-value (domain) of -3?
By looking at the graph of the linear equation, we conclude that the y-value for x = -3, is y = -9
what would the y-value be for an x-value of -3?Here we have the graph of a linear equation. What the graph tells us is "what is the value of y for each value of x".
So, if we want to find the value of y when we have x = -3, then:
We need to find the value x = -3 on the horizontal axis.Then we move vertically upwards (or downwards, depending on the case) until we reach the graphed equation.Once we reached the graphed equation, we move horizontally until we meet the vertical axis.The value at which we meet the horizontal axis gives the value in the range related to the value in the domain from which we started.Following these steps, you should be able to see that, when x = -3, the value of y is -9
So we conclude that the y-value for x = -3, is y = -9
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Solve the Equation
-x+8+3x=x-6
x=-18
x=-14
x=2
x=4
Answer:
x= -14
Step-by-step explanation:
-x+8+3x=x-6
2x+8=x-6
2x-x=-6-8
x= -14
The value of x in the equation is -14
How to solve the equation?We have:
-x+8+3x=x-6
Collect like terms
3x - x - x = -6 - 8
Evaluate the like terms
x = -14
Hence, the value of x in the equation is -14
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Which expression is equivalent to (z + 6)(z – 6)?
Answer:
\(z^{2} +z-36\)
Step-by-step explanation:
Multiply
Solve for x.
x³ = 1000
Enter your answer in the box.
X =
Answer:
10
Step-by-step explanation:
10*10*10=1000
10^3=1000
A mother invests $7000 in a bank account at the time of her daughter's birth. The interest is 18) compounded quarterly at a rate of 8%. What will be the value of the daughter's account on her twentieth birthday, assuming no other deposits or withdrawals are made during this period?
well, from birth to your twentieth birthday that'll just be 20 years, so
\(~~~~~~ \textit{Compound Interest Earned Amount} \\\\ A=P\left(1+\frac{r}{n}\right)^{nt} \quad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{original amount deposited}\dotfill &\$7000\\ r=rate\to 8\%\to \frac{8}{100}\dotfill &0.08\\ n= \begin{array}{llll} \textit{times it compounds per year}\\ \textit{quarterly, thus four} \end{array}\dotfill &4\\ t=years\dotfill &20 \end{cases} \\\\\\ A=7000\left(1+\frac{0.08}{4}\right)^{4\cdot 20}\implies A=7000(1.02)^{80}\implies A\approx 34128.07\)