A polynomial expression must adhere to certain rules. Anything that falls outside of these guidelines is not considered a polynomial, no matter how closely it resembles one.
How to explain the expressionTake for instance the first expression: 7j² -6j + 5k - 13. Though this may appear as a polynomial at first glance, j, the variable present within, is raised to an exponent deemed unacceptable by definition; (i.e., its exponent raises j to 2/1, which is non-integer notation).
The second expression, also violates this same standard since "x-2" indicates x being raised to the negative second power -- a numerical representation contrary to the stipulation. .
Learn more about expressions on
https://brainly.com/question/1859113
#SPJ1
Alex has 10 different kinds of lunch meat and 9 different kinds of cheese. If he wants to make a sandwich with one kind of meat and two kinds of cheese, how many different sandwiches could he make
Alex can make a total of 180 different sandwiches by choosing one kind of meat from 10 options and two kinds of cheese from 9 options.
To determine the number of different sandwiches Alex can make, we need to consider the combinations of meat and cheese. Since Alex can choose one kind of meat from 10 options, there are 10 choices for the meat component of the sandwich. For the cheese component, Alex can choose two kinds of cheese from 9 options.
To calculate the total number of combinations, we can use the formula for combinations without repetition. The formula is nCr = n! / (r!(n-r)!), where n is the total number of options and r is the number of choices. In this case, n is 9 (number of cheese options) and r is 2 (number of cheese choices). Thus, the number of combinations of two kinds of cheese is \(9C2\)= 9! / (2!(9-2)!) = 36.
Learn more about number here:
https://brainly.com/question/3589540
#SPJ11
Find the domain for the rational function f(x) = x-5/2x-3
Answer:
the domain of f(x) is set of all real numbers except 3/2
Step-by-step explanation:
Since the denominator cannot equal 0, 2x - 3 ≠ 0
2x ≠ 3
x ≠ 3/2
Any real number can replace x in the numerator.
So, the domain of f(x) is all real numbers except 3/2
The domain of the given function is required.
The domain is (-∞,3/2),(3/2,∞)
Domain of a functionThe given function is \(f(x)=\dfrac{x-5}{2x-3}\)
The domain of a function are the values of x for which the given function is defined.
The function is undefined when \(x=\dfrac{3}{2}\)
\(f(3/2)=\dfrac{\dfrac{3}{2}-5}{2\times \dfrac{3}{2}-3}=\infty\)
So, \(x\neq \dfrac{3}{2}\)
The domain is \(\left(-\infty,\dfrac{3}{2}\right),\left(\dfrac{3}{2},\infty\right)\)
Learn more about domain of a function:
https://brainly.com/question/1942755
5.3. From the data given in Table 2.6 on earnings and education, we obtained the following regression [see Eq. (3.7.3)]: Meanwage = 0.7437 + 0.6416 Education; se = (0.8355) ( ) t = ( ) (9.6536) r2 = 0.8944 n = 13 a) Fill in the missing number 2) how do you interpret the coefficient 0.6416 c. would you reject the hypothesis that educationhas no affected whatsoever on wages?
a) The missing number in Meanwage = 0.7437 + 0.6416 Education; se = (0.8355) ( ) t = ( ) (9.6536) r2 = 0.8944 n = 13 is se ≈ 0.0664. b. The mean wage is expected to increase by 0.6416 units. c. we would reject the null hypothesis, suggesting that education does indeed have a significant effect on wages.
a) From the information given, we can see that the standard error (se) and t-value are missing for the Education coefficient (0.6416). To find the missing standard error, we can use the t-value formula:
t = (coefficient - 0) / standard error
Rearranging the formula:
standard error = (coefficient - 0) / t
Since we have the t-value for Education (9.6536):
se = 0.6416 / 9.6536 ≈ 0.0664
b) The coefficient of 0.6416 for Education can be interpreted as follows: for each additional year of education, the mean wage is expected to increase by 0.6416 units, keeping all other factors constant.
c) To test the hypothesis that education has no effect on wages, we can use the t-value. The null hypothesis (H0) states that the coefficient of Education is 0 (meaning no effect). In this case, the t-value is 9.6536, which is significantly large. With a high t-value and a low standard error (0.0664), we have strong evidence to reject the null hypothesis, suggesting that education does indeed have a significant effect on wages.
For more such questions on Hypothesis.
https://brainly.com/question/30821298#
#SPJ11
first hour=30$ every additional half hour=10$. marla rent a motorbike for 1h 35m how much money does she need to pay
Answer: Prolly 43$
Step-by-step explanation:
She/HE spent 1 hour and 35 minutes, right? Well, after using it for an hour, she/he spends 30$ and half an hour (30 minutes) costs 10$ 30$ plus 10$ is 40$. But what about the "5" in "35"?? Well, since 30 minutes is equal to 10$ so basically 30 divided 10 is equal to 3 which explains that each 1 minute you spend with that bike is 3$. 40$ plus 3$ is 43$.
Not so sure. but goodluck.
Need help with this
Gross profit is the profit that a business makes after the manufacturing and selling costs are subtracted from the total sales.
What is Gross profit?Gross profit is the profit a company makes after deducting the costs associated with making and selling its products, or the costs associated with providing its services. Gross profit will appear on a company's income statement and can be calculated by subtracting the cost of goods sold (COGS) from revenue (sales). These figures can be found on a company's income statement. Gross profit may also be referred to as sales profit or gross income.Gross profit=Net sales−CoGS.Gross margin is the difference between revenue and cost of goods sold, divided by revenue. Gross margin is expressed as a percentage. Generally, it is calculated as the selling price of an item, less the cost of goods sold, then divided by the same selling price.To learn more about Gross profit refer to:
https://brainly.in/question/314511
#SPJ1
an experimenter surveyed two acres of a desert preserve and found six cactus wren nests. assuming that the habitat is fairly uniform, how many nests would he expect to be in the entire 200-acre preserve?
600 cactus wren nests the experimenter would expect to be in the entire 200-acre preserve.
To estimate the number of cactus wren nests in the entire 200-acre preserve, we can use the ratio of the area surveyed to the number of nests found.
Let's call the number of nests in the entire 200-acre preserve "N".
The ratio of the area surveyed to the number of nests found is:
2 acres / 6 nests = 200 acres / N nests
We can use this ratio to find the number of nests in the entire 200-acre preserve:
N nests = 200 acres * (6 nests / 2 acres)
N nests = 200 * 3
N nests = 600
So the experimenter would expect to find approximately 600 cactus wren nests in the entire 200-acre preserve, assuming that the habitat is fairly uniform.
You can learn more about habitat at
https://brainly.com/question/20319955
#SPJ4
Help me solve this problem please
Answer:
y = -2x + 17
Step-by-step explanation:
y has to equal 5:
incorrect
y = -2x - 17
y = -2(6) - 17
y = -12 - 17
y = -29
incorrect
y = -2x - 16
y = -2(6) - 16
y = -12 - 16
y = -28
incorrect
y = -2x + 16
y = -2(6) + 16
y = -12 + 16
y = 4
correct
y = -2x + 17
y = -2(6) + 17
y = -12 + 17
y = 5
Solve using substitution.
y = -9x - 10
y = -2x + 4
Answer:
1.444444444444444444? I tried
Answer:
X= -2
Y= 8
im not sure if thats the way u needed
I think i have the right answer but I don’t know how to show my work/explanation, please help! *GRADE 9 WORK*
Answer:
5 boys
Step-by-step explanation:
boys to girls in math class = 3/12
3/12 can be reduced to 1/4
In the science class, the ratio is the same but there is a total of 20 girls.
Multiply the fraction 1/4 by 2/2, 3/3, 4/4, 5/5, etc. until you get x/20. Then you have 20 girls. x is the number of boys.
1/4 = 2/8 = 3/12 = 4/16 = 5/20
In science the ratio of 1/4 is the same as 5/20, so there are 5 boys.
Answer: 5 boys
b) Solve
(i)
9x = 36
Answer:
4
Step-by-step explanation:
Answer:x=4
Step-by-step explanation:
Divide 9 by both sides
PLEASE HELP 50 POINTS DUE IN 5 MINIUTES
Use the expression 4(8 + 3x) to answer the following: Part A: Describe the two factors in this expression. (4 points) Part B: How many terms are in each factor of this expression? (4 points) Part C: What is the coefficient of the variable term? (2 points)
Part A
The two factors are 4, which is a constant, and 8+3x, which is a monomial.
Part B
For the factor 4, there is 1 term.For the factor 8+3x, there are 2 terms.Part C
The coefficient of the variable term is 3.
For each logarithmic equation, write an equivalent equation in exponential form
1. ln 618 = p
2.ln q = 2
3.ln 100 = t
4.ln(e^3)=3
Answer:
loga b = c ⇔ a^c = bApply the property above:
1. ln 618 = p ⇔ e^p = 618 2. ln q = 2 ⇔ e^2 = q 3. ln 100 = t ⇔ e^t = 100 4. ln (e^3) = 3 ⇔ e^3 = e^3The grid shown below is in the shape of a rectangle. What is the area, in square units, of the shaded part of the rectangle? a 14 b 24 c 28 d 48
Answer:
Step-by-step explanation:
answer is 5
Anita is drawing squares for an art project. Which algebraic representation describes the transformation?
The algebraic representation that describes the transformation is (x - 5, y - 4)
How to determine the algebraic representation that describes the transformation?From the question, we have the following parameters that can be used in our computation:
The figure
Where we have
Shape = R
Image = R'
From the above, we can see that
The shape is translated down by 4 units and left by 5 units
So, the transformation is (x - 5, y - 4)
Read more about transformation at
https://brainly.com/question/27224272
#SPJ9
as x approaches infinity, for which function does f(x) approach negative infinity? select all that apply.
Both \(f(x) = -x^2\) and \(f(x) = -2x^3 + 5x^2 - 3x + 7\) approach negative infinity as x approaches infinity.
As x approaches infinity, the dominant term of the function determines its behavior. In the case of \(f(x) = -x^2\), the term \(x^2\) becomes infinitely large and negative, causing the entire function to approach negative infinity. Similarly, in the case of \(f(x) = -2x^3 + 5x^2 - 3x + 7\), the term \(-2x^3\) dominates and becomes infinitely negative as x approaches infinity, causing the entire function to approach negative infinity. This is because the negative exponent on \(x^3\) causes the value of the term to become increasingly negative as x increases without bound.
For more questions like Functions visit the link below:
https://brainly.com/question/30831106
#SPJ11
read the picture plsssssssssss
a sum of money Doubles itself in 5 years what is rate of simple interest
Step-by-step explanationIf you are reading this say
thank u
There are 855 pieces of candy in the piñata. There are 19 children at the party, and they all agreed to split the candy equally. How many pieces of candy will each child receive?
Answer: 45
Step-by-step explanation: 85/19=45
A scientist inoculates mice, one at a time, with a disease germ until he finds 2 that have contracted the disease. If the probability of contracting the disease is 1/11, what is the probability that 7 mice are required?
The probability that 7 mice are required to find 2 that have contracted the disease is 0.0002837 or approximately 0.028%.
The probability of contracting the disease is 1/11 for each mouse inoculated. Therefore, the probability that 2 mice will contract the disease in a row is (1/11) x (1/11) = 1/121.
To find the probability that 7 mice are required, we need to use the concept of binomial distribution.
The probability of getting 2 successful outcomes (i.e., mice that contract the disease) in 7 trials (i.e., inoculations) can be calculated using the binomial formula: P(2 successes in 7 trials) = (7 choose 2) x (1/121)^2 x (120/121)^5 = 21 x 1/14641 x 2482515744/1305167425 = 21 x 0.0000069 x 1.9037 = 0.0002837 or approximately 0.028%.
Visit here to learn more about Probability:
brainly.com/question/13604758
#SPJ11
what are the roots of the polynomial equation x⁴+x³=4x²+4x? use the graphing calculator and a system of equations.
-2,-1,0,2
-2,0,1,2
-1,0
0,1
Answer: A
Step-by-step explanation:
what is the area of 4 1/2 feet wide and 6 1/2 feet long
Answer: 29 1/4
Step-by-step explanation:
Multiply and simplify to 29 1/4
u
Question 9
1 pts
Find LJ
12
M
6
J
L
K
K
24
0 42
O 36
O 12
O 18
Answer:
18
Step-by-step explanation:
since 24 is the total value of MK, and ML is already 12 of that, you can subtract 12 to get 12. KJ is 6, so we can add that to the 12 we just got to find the total value of LJ. 12 + 6 = 18.
The bases are regular hexagons. The area of each is about 416 om. Find the sum of their areas (SHOW ALL WORK)
The image has two(2) hexagons as the top and base of the figure, and six(6) rectangular blocks by the sides.
\(\begin{gathered} \text{The area of the base is 41.6 cm}^2 \\ \text{Thus, the area of the 2 hexagons at the top and the base is 2}\times41.6=83.2cm^2 \end{gathered}\)\(\begin{gathered} \text{The dimension of one of the rectangular blocks 4cm by 9cm.} \\ \text{Thus, the area of the rectangular block is 4}\times9=36cm^2 \end{gathered}\)For six(6) rectangular blocks, the area becomes:
\(\begin{gathered} A=6\times36 \\ A=216cm^2 \end{gathered}\)Hence, sum of their areas is 83.2 + 216 = 299.2 square centimeter.
Write one hundred twenty-one and twenty-one thousandths in decimal notation.
Answer:
121.0021 i think but make sure to doable check
Step-by-step explanation:
Answer:
121.021
Step-by-step explanation:
Well the word “and” indicates the decimal so we know the whole number is 121.
Now for decimals it goes in the order of tenths, hundredths, thousandths, etc.
We have 21 thousandths
it would end up looking like this
121.021
The 0 is relevant due to the the fact the decimal is suppose to be 21 thousandths.
Please help giving BRAINLYEST and TONS of points
Answer:
A, 2π/3
Step-by-step explanation:
First eliminate the √5 from the equation,
we get (4π - 2π) / 3,
then simply we can get the answer of 2π/3 which is A
a property owner paid $25 per front foot for a lot 600 ft. x 1,452 ft. how many acres were in the lot that he bought?
A property owner paid $25 per front foot for a lot 600 ft. x 1,452 ft, The lot size is 600 ft. x 1,452 ft., which is equivalent to approximately 20 acres.
To determine the number of acres in the lot, we need to convert the dimensions from feet to acres.
The lot has a length of 600 ft and a width of 1,452 ft. To convert these dimensions to acres, we divide each dimension by the number of feet in an acre, which is 43,560.
Length in acres = 600 ft / 43,560 ft/acre
Width in acres = 1,452 ft / 43,560 ft/acre
Now, we can calculate the total area of the lot in acres by multiplying the length and width in acres:
Total area = Length in acres * Width in acres
After performing the calculations, the total area of the lot is obtained. The final answer represents the number of acres in the lot.
Please note that since the final answer is a numerical value, it can be provided directly without the need for an explanation.
For more questions on property
https://brainly.com/question/2807928
#SPJ8
Jamie deposits $200 in an account at his bank the simple interest rate is 8% how much interest will he learn in 3 years
Jamie deposits $200 in an account at his bank
the simple interest rate = 8 %
So, the interest = 8% of 200 = 0.08 * 200 = $16
so, after 3 years, he will earn = 3 * 16 = $48
Estimate the measure of this angle within 15°
Answer:
45
Step-by-step explanation:
Answer:
yep looks like 45 half of 90
Step-by-step explanation:
What is the slope of the line that passes through the points (4, 8)(4,8) and (8, 6)(8,6)? Write your answer in simplest form.
Using linear function concepts, it is found that the slope of the line that passes through points (4,8) and (8,6) is of -0.5.
What is a linear function?A linear function is modeled by:
y = mx + b
In which:
m is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.b is the y-intercept, which is the value of y when x = 0, and can also be interpreted as the initial value of the function.The line goes through points (4,8) and (8,6), hence when x changes by 4, y changes by -2, and the slope is given by:
m = -2/4 = -0.5.
More can be learned about linear function concepts at https://brainly.com/question/24808124
#SPJ1
construct a box plot from the given data. diameters of cans in an assembly line: 5.5,5.5,5.1,5.3,5.2,5.5,5.5,5.2,5.6,5.2
To construct a box plot from the given data, which represents the diameters of cans in an assembly line, we need to determine the five-number summary and plot the corresponding box and whisker plot.
The five-number summary consists of the minimum value, the first quartile (Q1), the median (Q2), the third quartile (Q3), and the maximum value.
To construct the box plot, we start by arranging the data in ascending order: 5.1, 5.2, 5.2, 5.2, 5.3, 5.5, 5.5, 5.5, and 5.6. The minimum value is 5.1, and the maximum value is 5.6. The median is the middle value, which in this case is 5.3.
To find the first quartile (Q1) and the third quartile (Q3), we divide the data into two halves. Q1 is the median of the lower half, which consists of 5.1, 5.2, 5.2, and 5.2. Q3 is the median of the upper half, which consists of 5.5, 5.5, 5.5, and 5.6. The box plot will show the minimum value, Q1, Q2 (median), Q3, and the maximum value, giving us a visual representation of the distribution and variability of the data.
Learn more about constructing a box here: brainly.com/question/29349658
#SPJ11