Answer:
The first column describes a situation, and you are to look at that sentence and find the integer. An integer is a round number that can be both positive or negative.
Each question contains only a single number, so that is no problem. Just plug that number into the integer field.
The other thing is, because they're asking for an integer and absolute value, they're clearly expecting positive and negative values in the "integer" column. An absolute value is simply the positive value of any integer.
The problem with that is that the numbers are all represented as positive integers. With that in mind, I think you're expected to treat them as positive or negative based on the way they're being used.
For example, in the first question
"A football team lost 45 yards on the third down."
The only number in that sentence is 45, but note the usage of the number, "... team lost 45 yards...".
As they lost it, then the yardage is going down, meaning it's being used as a negative number. That would give you an integer of -45, and an absolute value of 45.
In the second question:
"Jonathan earned $60 mowing lawns last week"
In this case, that's money that Jonathan is gaining, so a positive number. The "integer" field then would get the value 60, and the absolute value field would also be 60.
The problem I see here is with the "Opposite" field. It's rather vague and undefined but I think they're asking for the opposite of the verb used with the number. So in the examples above, the opposite of "lost" would be "gained", and opposite of "earned" might be "spent".
Another possible meaning might be the opposite sign of the integer. So the "opposite" of -15 would be 15, and 20 it would be -20. This seems unlikely to me, so here i'll assume they mean the opposite word. If you can, I suggest clarifying that with the person who gave you this assignment.
So with question 3 for example, we have:
"Alice descended 20 feet below the surface of the ocean"
The integer would be -20, because she's going down
The absolute value of -20 is 20
The opposite would be "ascended".
And again with question 4:
"The temperature dropped to 15 degrees below zero."
The integer, because it's dropping would be -15.
The absolute value of -15 is 15.
the opposite of "dropping" would be "rising".
And so on. I won't do all the questions for you, but I hope that gives you a good start, you may want to consult with your teacher or whomever it was that gave you this question, and clarify what the opposite field should be; this is just my best guess.
A teacher asks four students the question, “Can a triangle have more than one right angle, and why?” The table lists the students’ responses.
Considering the sum of the internal angles of a triangle, it is found that the correct student is Paige.
What is the sum of the internal angles of a triangle?The sum of the three internal angles of a triangle is of 180º, and none of the angles can be zero.
Hence, a triangle can have at most one right angle(angle of 90º), and researching the question on the internet, the student who states this is Paige.
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which ones are rational ?
7.284
10.2
0.75
-7.165
3/11
-1/4/
Step-by-step explanation:
3/11\(3 \div 11\)Please help I’m confused
The rational inequality f(x) > 0 has the solution x > - 7
What is a rational inequality?A rational inequality is an inequality in the form of a fraction
Given the function f(x) = (x + 7)/(x² - 4x + 3)
To find the value of x for which the function f(x) > 0, we proceed as follows
Given that f(x) > 0
So, this means that
(x + 7)/(x² - 4x + 3) > 0
This implies that
x + 7 > 0
Subtracting 7 from both sides, we have that
x + 7 - 7 > 0 - 7
x + 0 > - 7
x > - 7
So, f(x) > 0 has the solution x > - 7
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Which expression represents a cube root of 1 + i?
OVE (cos()+ i sin (24))
OVE (cos (37) + i sin (3))
/
O & (cos (4) + i sin (24))
V2 (cos (37) + 1 sin (37))
Answer:c
Step-by-step explanation is va cuz when your multiply:
Answer:
\(\sqrt[6]{2}\left(\cos\left(\frac{3\pi}{4}\right)+i\sin\left(\frac{3\pi}{4}\right)\right)\)
Step-by-step explanation:
The analysis is as attached below.
x/3 =-8 x=? what does x =?
Answer: -24
Step-by-step explanation:
\(\frac{x}{3}=-8\\\frac{x}{3}(3)=-8(3)\\ x=-24\)
-2\tfrac{1}{2}-\Big(-4\tfrac{3}{5}\Big)
−2 /2/1 −(−4 3/5)
The value of the fraction expression -2 1/2 - (-4 3/5) is 2 1/10
How to evaluate the expressionFrom the question, we have the following parameters that can be used in our computation:
−2 /2/1 −(−4 3/5)
Express properly
So, we have the following representation
-2 1/2 - (-4 3/5)
Remove the brackets
This gives
-2 1/2 - (-4 3/5) = -2 1/2 + 4 3/5
Express the denominator as 10
So, we have
-2 1/2 - (-4 3/5) = -2 5/10 + 4 6/10
Evaluate the difference
-2 1/2 - (-4 3/5) = 2 1/10
Hence, the solution is 2 1/10
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15 points!!! Help!! Find x. Round to the nearest tenth
Answer:
So let the hypotenuse be
x
:
sin
(
47
°
)
=
opposite side
x
sin
(
47
°
)
=
12
x
To solve for
x
, divide
sin
(
47
°
)
by
12
:
x
=
12
sin
(
47
°
)
x
≈
16
Step-by-step explanation:
Answer: 16
Reason: bc it just is
For the triangle shown in the figure below what are each of the following? (Let y = 8.00 m and r = 10.0 m. Assume the triangle is a right triangle.)A diagram of a right triangle with a hypotenuse labeled r, one leg labeled x and the other leg labeled y. The angle adjacent to x is labeled and the angle adjacent to y is labeled .(a) the length of the unknown side x m(b) the tangent of (c) the sin of
Given a right angle triangle with:
y = 8.00 m
r = 10.0 m
(a) We are to find the length of the unknown side x?
Using pythagoras theorem:
r² = x² + y²
x² = r² - y²
x = √r² - y²
Inputting values:
x = √10² - 8²
x = √100 - 64
x = √36
x = 6 m
Therefore, the length of the unknow side x is 10 m.
(b) The tangent of θ
Using SOHCAHTOA
Tan θ = Opposite/Adjacent
Opposite = y = 8 m
Adjacent = x = 6
Tan θ = 8/6
Tan θ = 1.3
(c) Sin σ
Sin σ = Opposite/Hypotenuse
Opposite = x = 6 m
Hypotenuse = r = 10
Sin σ = 6/10
Sin σ = 0.6
The cost of one t-shirt is 128. How much will be the cost of 20
The cost of 20 T-Shirt will be 2560 when cost of one t-shirt is 128.
When a selling price and profit are provided, cost price equals selling price plus profit. When the selling price and loss are disclosed, cost price equals selling price plus loss.
Profit is calculated as S.P. - C.P. If the selling price is less than the cost price, the difference between the two is the loss incurred. Loss is also equal to C.P. - S.P.
We must divide the gross profit by the entire revenue for the year, multiply by 100, and then find the gross profit margin. We must divide net income (or net profit) by the entire annual revenue before multiplying the result by 100 to get the net profit margin.
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} One number is 8 times another. When the lesser number is subtracted from the greater, the result is 2 more than 5 times the lesser number. What are the numbers?
The numbers are 1 and 8.
We have,
Let's assume the lesser number as "x" and the greater number as "8x".
According to the given information, when the lesser number is subtracted from the greater, the result is 2 more than 5 times the lesser number:
8x - x = 5x + 2
Simplifying the expression:
7x = 5x + 2
Subtracting 5x from both sides:
2x = 2
Dividing both sides by 2:
x = 1
So, the lesser number is 1 and the greater number is 8 times that, which is 8.
Therefore,
The numbers are 1 and 8.
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Corrects answer gets brainliest and 30 points!
Answer:
B
Step-by-step explanation:
Using the data:
6 students sent 0-4 emails
4 students sent 5-9 emails
2 students sent 10 - 14 emails
3 students sent 15-19 emails
Option B graphs this data correctly
Answer:b
Step-by-step explanation:
have a nice day
A study was conducted showing the relationship between the average maintenance cost and the age of a car in years.
Number of observations: 13
Least Squares | Standard | T
Parameter | Estimate | Error | Statistic| P-Value
Intercept | 54.7757 | 54.87 | 0.998282 | 0.3396
Slope | 120.689 | 11.8442 | 10.1898 | 0.0000
a) What is the formula for the regression function based on the output above (Write your equation in the context of question)?
b) Interpret the slope of the regression equation (In the context of question)?
c) Construct an 95% interval to predict the maintenance cost for a car that is 7 years old?
d) Based on this analysis, can we conclude that a relationship exists between the maintenance cost and the age of the car in years? What is the null and alternative hypothesis? Justify your answer using three steps process.
Answer:
Step-by-step explanation:
a) The formula for the regression function is:
Maintenance Cost = 54.7757 + 120.689 x Age of Car
b) The slope of the regression equation is 120.689. This means that on average, for every one year increase in the age of a car, the maintenance cost is expected to increase by $120.689.
c) To construct a 95% interval to predict the maintenance cost for a car that is 7 years old, we can use the formula:
Y = a + bX ± tα/2 * SE
where Y is the predicted maintenance cost, a is the intercept, b is the slope, X is the age of the car, tα/2 is the t-value for the 95% confidence level with n-2 degrees of freedom (11 in this case), and SE is the standard error of the estimate.
Plugging in the values, we get:
Y = 54.7757 + 120.689 * 7 ± 2.201 * 11.8442
Y = 923.167 ± 26.010
Therefore, we can be 95% confident that the maintenance cost for a car that is 7 years old will be between $897.16 and $949.17.
d) The null hypothesis is that there is no significant linear relationship between the average maintenance cost and the age of a car in years. The alternative hypothesis is that there is a significant linear relationship between the average maintenance cost and the age of a car in years.
To test the hypothesis, we can perform a t-test on the slope coefficient using the t-statistic and the p-value provided in the output. The t-statistic is 10.1898, which is much greater than the critical t-value at the 0.05 level of significance for a two-tailed test with 11 degrees of freedom (2.201). The p-value is 0.0000, which is less than the significance level of 0.05. Therefore, we can reject the null hypothesis and conclude that there is a significant linear relationship between the maintenance cost and the age of the car in years.
which of the following genotypes represent the possible gametes produced by an ffgg individual? assume that the genes are not linked and therefore assort independently.
The gametes FG and FG represent the two possible combinations of alleles for the FFGG genotype.Assuming that the genes are not linked and assort independently, an individual with the genotype FFGG would produce gametes with the following possible genotypes:
FG
FG
Each gamete receives one allele from each gene, and since the individual has homozygous dominant alleles for both genes (FF and GG), each gamete will receive one dominant allele from each gene. Therefore, all of the individual's gametes will have the genotype FG. This individual is said to be homozygous dominant for both genes.
An FFGG individual has two pairs of alleles, one for each gene. Since they are not linked and assort independently, the gametes produced by this individual will have only one allele for each gene, randomly selected from the two alleles in the individual's genotype.
In this case, the possible gametes produced by an FFGG individual would be FG and FG. Each of these gametes would have one allele for each of the two genes. The first allele could be either F or f, and the second allele could be either G or g. Therefore, the gametes FG and FG represent the two possible combinations of alleles for the FFGG genotype.
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Question:-Which of the following genotypes represent the possible gametes produced by an FfGg individual? Assume that the genes are not linked and therefore assort independently.
What is the z score associated with sleeping 503 minutes per night
Answer:
you need to mutiply zero meana503 neary by 500
Help me please!!!!!!!!
Answer:
The ratios are not equal, so this is not a dilation.
Step-by-step explanation:
4/3 is the first ratio
3/4 is the second ratio
Since these ratios are not equal there is not a dilation.
The triangles shown below may not be congruent.
25
56
100
1000
850
O A. True
O B. False
Answer:
B. False
Step-by-step explanation:
The two triangles have the same size and the same shape so they are congruent. The three angles on both the triangles are equal. Just that the triangles are upside down but they are all the same.
Which is more 4 inches or 1 foot
Answer: 1 foot
Step-by-step explanation:
because 1 foot is equivalent to 12 inches
Decide which of the two given prices is the better deal and explain why. You can fill a 12-gallon tank of gas for $39.43 or buy gas for $3.20/gallon.
Answer:
$3.20/gallon
Step-by-step explanation:
to fill up your tank at $3.20/gallon only costs $38.40
Part 1: 12% annual interest on 132000 for 8 days
Part 2: 12% annual interest on 106,750 for 20 days.
If it helps, it's a 5 year note. Assuming 365 days in a year.
The interest for Part 1 is approximately $385.10.
The interest for Part 2 is approximately $709.31.
To calculate the interest for Part 1 and Part 2The formula is as follows:
Interest is calculated as follows: Principal * Rate * Time
Where
Principal represents the starting sumThe interest rate is rateTime measures length in years.Part 1:
$132,000 is the principal.
(Decimal) Rate = 12% = 0.12
Time = 8 days/365 days.
How much interest is there in Part 1?
Interest is calculated as follows : $132,000 * 0.12 * (8/365) = $385.10
Therefore, the interest for Part 1 is approximately $385.10.
Part 2:
$106,750 as the principal
(Decimal) Rate = 12% = 0.12
Time = 20 days / 365 days.
How much interest will there be in Part 2
Interest is calculated as follows : $106,750 * 0.12 * (20/365) = $709.31
Therefore, the interest for Part 2 is approximately $709.31.
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what is the perimeter of a regular pentagon whose sides are 6 incges long
Answer: 30inches
Step-by-step explanation:
P=5a
a=side length
P=5(6)
5*6=30
A 6 pack of batteries cost $7.80. How much is 1 battery?
Answer:
$1.30
Step-by-step explanation:
divide the cost by 6 and you get 1.3 so 1 battery=1.30
Answer:
Each battery would cost 1.30
Step-by-step explanation:
7.80 divided by 6 equals 1.3
Another way to find the answer would be
1.3x6
or
1.3+1.3+1.3+1.3+1.3+1.3
Find the 66th derivative of the function f(x) = 4sin(x)
The 66th derivative of f(x) is the same as the second derivative of f(x). Thus, we can calculate the 66th derivative as follows f''(x) = -4sin(x).
What is derivative?The derivative of a function is the rate at which the function changes with respect to its input variable. It is a fundamental concept in calculus and is used in many areas of mathematics, science, and engineering.
According to question:The derivative of the function f(x) = 4sin(x) with respect to x is:
f'(x) = 4cos(x)
Taking the derivative again, we get:
f''(x) = -4sin(x)
Taking the derivative 3 times, we get:
f'''(x) = -4cos(x)
Taking the derivative 4 times, we get:
f''''(x) = 4sin(x)
We notice that the derivative of f(x) repeats every 4 times, alternating between sin(x) and cos(x) with a sign change. Therefore, to find the 66th derivative of f(x), we can simplify the calculation by considering the remainder when 66 is divided by 4:
66 mod 4 = 2
This means that the 66th derivative of f(x) is the same as the second derivative of f(x). Thus, we can calculate the 66th derivative as follows:
f''(x) = -4sin(x)
Therefore, the 66th derivative of f(x) is:
f^(66)(x) = f''(x) = -4sin(x)
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For certain values of $k$ and $m,$ the system
\begin{align*}
3a + 2b &= 2, \\
6a + 2b &= k - 3a - mb
\end{align*}has infinitely many solutions $(a,b).$ What are $k$ and $m?$
The values of $k$ and $m$ for which the system of equations has infinitely many solutions are $k = -1$ and $m = 11$.
To find the values of $k$ and $m$ for which the given system of equations has infinitely many solutions, we can start by analyzing the equations and their coefficients.
The system of equations is:
$3a + 2b = 2$
$6a + 2b = k - 3a - mb$
To have infinitely many solutions, the two equations must represent the same line or be linearly dependent. This can occur when the coefficients of the variables in the two equations are proportional.
Comparing the coefficients of $a$ and $b$ in the two equations, we have:
For $a$: $3$ and $6$ are proportional (doubled)
For $b$: $2$ and $2$ are proportional (equal)
Since the coefficients of $b$ are already proportional, we focus on the coefficients of $a$ to determine the condition for infinitely many solutions.
The coefficient of $a$ in the first equation is $3$, while in the second equation, it is $-3$. For these coefficients to be proportional, we need:
$3 = -3 \cdot k$
$-3k = 3$
$k = -1$
Now that we have determined the value of $k$, we need to find the corresponding value of $m$ to satisfy the condition for infinitely many solutions.
Using $k = -1$ in the second equation, we have:
$6a + 2b = -1 - 3a - mb$
Rearranging the equation:
$9a + (m - 2)b = -1$
For the coefficients of $a$ and $b$ to be proportional, we need:
$9 = -1 \cdot (m - 2)$
$-m + 2 = -9$
$m = 11$
Therefore, the values of $k$ and $m$ for which the system of equations has infinitely many solutions are $k = -1$ and $m = 11$.
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8th Grade Math!!
find the area of the rectangle.
the area of the rectangle is __ square feet. (simplify your answer)
Answer:
\(48x^{13}\ ft^2\)
Step-by-step explanation:
Step 1: Determine the area of the rectangle
To find the area of the rectangle we just need to do Length * Width which will give us the area in square feet (it really depends on the units that they are giving the L and W in).
\((8x^6) * (6x^7)\)
\(((8*6)(x^6*x^7))\)
\((48*x^{6+7})\)
\(48x^{13}\)
Answer: \(48x^{13}\ ft^2\)
True or False?
The following relation represent a function.
Question 4 options:
True
False
How can you use counters to show division and subtraction
relationship
Answer:
what grade are u in just need to know so I can help bc I dont understand the question
What are the factors of 42 to find it’s prime numbers and how do I put it in a factor tree
Answer:
See below
Step-by-step explanation:
Starting with 42, there would be two branches of 2 and 21 connected to 42. Since 2 is prime, there are no more branches. Since 21 is composite, then two more branches are drawn of 3 and 7 connected to 21. Since 3 and 7 are prime, there are no more branches.
Therefore, the prime factorization of 42 is 2*3*7, and its factors would be 1,2,3,6,7,14,21,42.
Tony wants to save 10,000 in 6 years. Assuming interest rate what is the minimum he must save month to goal?
Answer:
Tony wants to save $10000 in 6 years. which is approx $123. Hence final answer is C) $123.
Answer:
c
Step-by-step explanation:
We have been given that Tony wants to save $10000 in 6 years.
That means future value S = $10000
Time t= 6 years
Interest rate = 4% yearly = 0.04 yearly
n=12 months per year
Now we have to find monthly payment to recieve $10000 in 6 years. so we need to apply monthly payment formula which is
which is approx $123.
Hence final answer is C) $123.
00:00
The weights of babies born at a hospital in November are shown in a line plot.
How many more babies weighed 8 pounds than 61 pounds?
Newborn Weights
0
.
.
6
7
Pounds
Answer:
I think its 1 baby because the 6 1/4 is 2 babies and the 8 1/2 is 3 babies so if you subtract 3 from 2 you get 1.
One more baby weighed \(8\frac{1}{2}\) pounds than \(6\frac{1}{4}\) pounds.
What is Graph?Graph is a mathematical representation of a network and it describes the relationship between lines and points.
Given that The weights of babies born at a hospital in November are shown in a line plot.
The babies weighed at \(8\frac{1}{2}\) pounds are 3 babies.
The babies weighed at \(6\frac{1}{4}\) pounds are 2 babies.
We have to find the number of babies weighed \(8\frac{1}{2}\) pounds than \(6\frac{1}{4}\) pounds.
So we have to subtract 2 from 3
3-2 is one
Hence, One more baby weighed \(8\frac{1}{2}\) pounds than \(6\frac{1}{4}\) pounds.
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Consider a clock with an hour hand and a minute hand. What is the measure of the angle the minute hand traces in 37 minutes. Your answer should be in radians.
9514 1404 393
Answer:
37π/30 radians
Step-by-step explanation:
In 60 minutes, the minute had makes one full circle, or 2π radians. Then its rate of sweep is ...
(2π radians)/(60 minutes) = π/30 radians per minute
The angle swept in 37 minutes will be ...
(37 min)(π/30 rad/min) = 37π/30 radians