Given the function f(x):
\(f(x)=x^5+3\)We will find the value of f(x) when x = {-2, -1, 0, 1, 2}
so,
\(\begin{gathered} x=-2\rightarrow y=(-2)^5+3=-29 \\ x=-1\rightarrow y=(-1)^5+3=2 \\ x=0\rightarrow y=(0)^5+3=3 \\ x=1\rightarrow y=(1)^5+3=4 \\ x=2\rightarrow y=(2)^5+3=35 \end{gathered}\)From the results, we can conclude the following:
\(\begin{gathered} f(-x)\ne f(x) \\ \text{and} \\ f(-x)\ne-f(x) \end{gathered}\)So, the function is neither even nor odd
4x - 2y + z = 30
6x + 5y + 6z = 74
6x + 2y + 8z = 64
Answer:
lasjn sk sklan djsk
Step-by-step explanation: so jakbas akbsa
which of the following would be parallel to the graph of 2x -3y = 18?
We need to analyze each case separately:
We also need to remember that for two lines to be parallel they need to have the same slope. We can transform the equation in the slope-intercept form to find these slopes. This is a way to do so.
1. In the first case, we need to find the slope-intercept form of the equation. It is:
\(2x+3y=18\Rightarrow3y=18-2x\Rightarrow y=\frac{18}{3}-\frac{2}{3}x\Rightarrow y=-\frac{2}{3}x+6\)This line is not parallel to the one given, since the slope-intercept form of the given linear equation is:
\(2x-3y=18\Rightarrow-3y=18-2x\Rightarrow y=\frac{18}{-3}+\frac{-2}{-3}x\Rightarrow y=\frac{2}{3}x-6\)Then, the slope is m = 2/3, and the slope, in this case, is m = -2/3. Therefore, in this first case, the lines are not parallel. Not parallel.
2. The second equation is y = 2/3x +1, then, this line is parallel to the given in the question. It is parallel (m = 2/3).
3. We need to transform the third equation in the slope-intercept form:
\(-2x-3y=-18\Rightarrow-3y=-18+2x\Rightarrow y=-\frac{2}{3}x+6\)The slope, in this case, is the inverse of the slope given in the question. It is not parallel to the given equation. Not parallel.
4. In the last case, we have that the slope is, for the second equation, also m = -2/3. Then, this line is not parallel to the one given in the question. Not parallel.
Using the table find then relative frequency of each color, to 3 decimal places
Explanation:
For each row, divide the color counts over the total. For example, we have 9 red in bag one out of 61 total. This leads to a relative frequency of 9/61 = 0.1475 which rounds to 0.148; so approximately 14.8% of the items in bag one are red. This represents the top left corner of the table.
As another example, we have 5 brown out of 60 total in bag ten. That leads to a relative frequency of 5/60 = 0.0833 = 0.083 (see the bottom right corner of the table).
Take note that for any given row, adding up the relative frequencies will yield the value of 1 (though there might be some slight rounding error along the way).
1
4
(
8
−
6
x
+
12
)
?
1
4
(
8
−
6
x
+
12
)
?
A.
7
2
x
7
2
x
B.
−
13
2
x
−
13
2
x
C.
−
6
x
+
14
−
6
x
+
14
D.
−
3
2
x
+
5
The equivalent expression is 5 - 3x/2. Option D
What are algebraic expressions?Algebraic expressions are described as expressions that are made up of variables, their coefficients, factors and constants.
these algebraic expressions are also composed of mathematical operations. These operations includes;
BracketParenthesesSubtractionMultiplicationDivisionAdditionFrom the information given, we have that;
1/ 4(8 - 6x + 12)
expand the bracket, we have;
Add the like terms
1/4(20 - 6x)
now, multiply the values, we have;
20 - 6x/4
Divide by the denominator
5 - 3x/2
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The complete question:
Simply the expression:
1/ 4(8 - 6x + 12)
Calculate ( – 2 – 3i)^4. Give your answer in a + bi form
Answer:
-34 - 24i
Step-by-step explanation:
To calculate ( – 2 – 3i)^4, we can use the property that (a + bi)^n = a^n + (n*a^(n-1)b)i + (na^(n-2)*b^2)i^2 + ...
So, ( – 2 – 3i)^4 = (-2 - 3i) * (-2 - 3i) * (-2 - 3i) * (-2 - 3i)
= -2^4 - 2^3 * 3i - 2^2 * 3^2i^2 - 2 * 3^3i^3 - 3^4i^4
= -16 - 24i + 18i^2
= -16 - 24i -18
= -34 - 24i
plsss help with this question pls with whole procedure pls help
i hope this helps.......
How much will 5% yards cost of fabric be at $10.99 a yard?
If the cost of fabric be at $10.99 a yard, then a 5% yards would cost $0.55
How to determine the cost of the fabric?The given parameters are
Cost of fabric = $10.99 per yard
This means that the unit rate of a yard of fabric is $10.99
So, the cost of a 5% yard cost of fabric would be
Cost = 5% * Cost of fabric
The above equation becomes
Cost = 5% * 10.99
Evaluate the product
Cost = $0.55
Hence, if the cost of fabric be at $10.99 a yard, then a 5% yards would cost $0.55
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Determine all solutions to the equation 1 over sine theta equals 2 times sine theta on the interval [0, 2π).
The solution to the trigonometric equation in the interval is given by:
\(x = \frac{\pi}{4}\)
What is the trigonometric equation?In this problem, the equation is given by:
\(\frac{1}{\sin{\theta}} = 2\cos{\theta}\)
Applying cross multiplication, we have that:
\(2\sin{\theta}\cos{\theta} = 1\)
Applying a trigonometric identity, we have that:
\(\sin{2x} = 1\)
We have that on the interval [0, 2π), \(\sin{\left(\frac{\pi}{2}\right)} = 1\)
Hence:
\(\sin{2x} = 1\)
\(\sin{2x} = \sin{\left(\frac{\pi}{2}\right)}\)
\(2x = \frac{\pi}{2}\)
\(x = \frac{\pi}{4}\)
For \(\frac{3\pi}{4}\), we have that:
\(\sin{2x} = \sin{\left(\frac{3\pi}{2}\right)} = -1\)
Hence only the first solution is correct.
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Find the side length of a cube with a volume of 141 f3 If necessary, round your answer to the nearest tenth.
The side length of the cube is 5.6 feet (rounded to the nearest tenth).
We can calculate the side length of a cube with a volume of 141 cubic feet using the formula for cube volume , which is \(V = s^3\), where V is the volume and s is the side length.
We can calculate s by taking the cube root of both sides of the equation:
\(s = (V)^{(1/3)\)
Substituting V = 141, we get:
\(s = (141)^{(1/3)\)
By using a calculator to evaluate this expression, we may determine:
s ≈ 5.6
As a result, the cube's side length is roughly 5.6 feet (rounded to the closest tenth). This indicates that if we increase the side length by three, it will become longer. (\(s^3\)), we will get the volume of the cube, which is 141 cubic feet.
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Can someone pls help me with this question
Answer: its correct
Step-by-step explanation: 4 is the answer
Answer:
ur good, pretty sure its 4 :)
If you get it right I will give brainiest.
Sample Responses Label axes according to input
and output variables. Plot the ordered pair of the
independent and dependent variable on the
coordinate plane. Identify if there is a relationship
Which of the following did you include in your
response?
O Label the x-axis the input variable, age.
O Label the y-axis the output variable, texting speed.
O Plot the points according to age and texting speed.
O Identify a relationship between the change in
texting speed as age increases.
The following elements were included in the response: labeling x-axis as age, labeling y-axis as texting speed, plotting points according to age and texting speed, and identifying a relationship between texting speed and age.
In the response, the following elements were included:
1. Labeling the x-axis as the input variable, age: This is important to indicate the independent variable being plotted.
2. Labeling the y-axis as the output variable, texting speed: This is crucial to indicate the dependent variable being represented.
3 Plotting the points according to age and texting speed: This involves placing the ordered pairs (age, texting speed) on the coordinate plane, with age values on the x-axis and texting speed values on the y-axis.
4. Identifying a relationship between the change in texting speed as age increases: By analyzing the plotted points and examining the pattern or trend, one can determine if there is a relationship between age and texting speed. For example, if the texting speed generally increases as age increases or if there is a linear or nonlinear relationship between the two variables.
Including all of these elements allows for a comprehensive analysis of the relationship between age and texting speed, providing a visual representation and enabling the identification of any patterns or trends.
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f(x)=x^3+5x+k and x+2 is a factor of f(x), then what is the value of k?
The value of k is 18.
If x + 2 is a factor of f(x) = x^3 + 5x + k, it means that when x = -2, the expression f(x) becomes zero.
Substituting x = -2 into f(x), we have:
f(-2) = (-2)³ + 5(-2) + k
= -8 - 10 + k
= -18 + k
Since f(-2) should equal zero, we have:
-18 + k = 0
k = 18
Therefore, the value of k is 18.
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Use this table to help answer the question. What would be the best description of the johns times rounded to quarter hours (15 minutes)
A) 8:45am - 5:00pm
B) 8:45am - 5:15pm
C) 8:30am - 5:15pm
D) 8:30am - 5:00pm
At a county fair the admission is $8.00 and each
ride costs $1.25. If you go to the fair with $20.00,
what is the maximum number of rides you can go
on?
amswer:9
Step-by-step explanation:
20.00 - 8.00 = 12.00
1.25 × 9 = 11.25
leftover change is 0.75
The maximum number of rides you can go on are 9.
What is a equation?
"An equation can be defined as a mathematical statement consisting of an equal symbol between two algebraic expressions that have the same value. The most basic and common algebraic equations in math consist of one or more variables. For instance, 3x + 5 = 14 is an equation, in which 3x + 5 and 14 are two expressions separated by an ‘equal’ sign. In an algebraic equation, the left-hand side is equal to the right-hand side."
Given,
The admission fee to the country fair is \(\$8.00\)
And the cost of each ride is = \(\$1.25\)
The total number of money that he has = \(\$20.00\)
So the number of rides in $20.00 will be
\(\$(20.00 - 8)/1.25\\ = 12/1.25 = 9.6\)
Hence, the number of rides that he can go in $20.00 will be 9.
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Given that a function, g, has a domain of -20 ≤ x ≤ 5 and a range of -5 ≤ g(x) ≤ 45 and that g(0) = -2 and g(-9) = 6, select the statement that could be true for g.
Answer:
Step-by-step explanation:
an ancient atifact is 4 time older then an anitque book
Problem 1.1.A basket of fruit is arranged out of apples, bananas, and oranges.What is the smallest number of fruit that should be put in the basket to guaranteethat there are either at least 8 apples or at least 6 bananas or at least 9 oranges
Answer:
21
Step-by-step explanation:
The question is based in pigeonhole principle that says If n or more pigeons are distributed among k >0 pigeonholes,then at least one pigeonhole contains at least \(\frac{n}{k}\) pigeons.
8 + 6 + 9−3 + 1 = 21
The temperature in Mrs. Cagle's room was -14°F yesterday, but it rose 8°F today. What is the
new temperature today?
What's the unit prices??
Cost of a CD: $19.95
Markup: 70%
Answer:
$33.915 for the cd
Step-by-step explanation:
70% of 19.95 = 13.965
19.95 + 13.965= 33.91
* 1. Name a point on line n. 2. Name a segment on line m. 3. Name a ray with endpoint C. 4. Name three collinear points.
Answer:
1. D
2. AE (with a line above the 2 letters)
3. AC (with an arrowpointing to the right above the 2 letters)
4. B, A, and C
Poppy gets semi-monthly paycheck of $2,375. What is her annual income?
Answer:
57,000
Step-by-step explanation:
a student claims that a neutral atom has 6 protons and 7 electrons what mistake is the student making
Answer:
A proton needs two electrons to operate. Just like if an electron needed nutrons.
Step-by-step explanation:
Instruction's
The cash account for Brentwood Bike Co. at May 1 Indicated a balance of $34,250. During May, the total cash deposited was $140,300, and checks written totaled $138,880. The bank statement indicated a balance
of $43,525 on May 31. Comparing the bank statement, the canceled checks, and the accompanying memas with the records revealed the following reconciling items:
a. Checks outstanding totaled $6,440.
b. A deposit of $1,850 representing receipts of May 31 had been made too late to appear on the bank statement.
c. The bank had collected for Brentwood Bike Co. $5,250 on a note left for collection. The face of the note was $5,000.
d. A check for $390 returned with the statement had been incorrectly charged by the bank as $930.
e. A check for $210 returned with the statement had been recorded by Brentwood Bike Co. as $120. The check was for the payment of an
obligation to Adkins Co. on account.
1. Bank service charges for May amounted to $30.
g. A check for $1,325 from Jennings Co. was returned by the bank due to insufficient funds.
Required:
1. Prepare a bank reconciliation as of May 31. Be sure to complete the statement heading. Refer to the Labels and Amount Descriptions for the
exact wording of text entries. "Deduct:" or "Add" will automatically appear if it is required. Whenever there is more than one adjusting item in the
bank portion of the reconciliation or the general ledger portion of the bank reconciliation, enter in the order presented in the instructions. Enter
all amounts as positive numbers.
2. Journalize the necessary entries. The accounts have not been closed. Refer to the chart of accounts for the exact wording of the account titles.
CNOW journals do not use Wines for journal explanati Every line on a journal page is used for debit or credit entries. CNOW journals will
automatically indent a credit entry when a credit amount is entered.
3. If a balance sheet is prepared for Brentwood Bike Co. on May 31, what amount should be reported as cash?
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Bank Reconciliation Statement:
Bank reconciliation statements are prepared to find out the facts behind the differences between the cash account balance and the balance shown by the bank statement. Periodical bank reconciliation helps to prevent frauds and rectify any accounting errors and mistakes.
Calculation of Cash Account Balance of Brentwood Bike Co. as of May 31:
Cash account balance on May 1 $34,250Add: Deposits during May 140,300Less: Checks are written during May (138,880)Cash Account Balance as of May 31 $35,6701. Bank Reconciliation Statement of Bentwood Bike Co. as of May 31.
Balance as per cash account $35,670
Add:
Outstanding checks $6,440 Note collected by the bank with interest 5,250 Check returned 390 Check returned 120 12,200Less:
Deposit in transit 1,850 Check incorrectly charged by the bank 930 Correction of check to Adkins Co. 210 Bank service charges for May 30 Check from Jennings Co. returned 1325 (4,345)Balance as per Bank Statement $43,5252. Journal Entries to be recorded:
May 31 Cash $5,250 Interest Revenue $250Notes Receivable $5,000(Collection of note with interest by the bank) May 31 Accounts Payable $90 Cash $90(Rectification of payement to Adkins Co.) May 31 Bank Charges $30 Cash $30(Bank service charges for May) May 31 Accounts Receivable $1,325 Cash $1,325(Check from Jennings Co. returned)3. Computation of cash account balance should be reported in the balance sheet on May 31:
Cash Account Balance as of May 31 $35,670Add: Note collected by the bank with interest $5,250 5,250Less: Accounts Payable 90 Bank Charges 30 Accounts Receivable 1,325 (1,445)Cash account balance to be reported in balance sheet $39,475Learn more about Bank Reconciliation Statement at:
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(GIVING BRAINLIYEST)
7. what is the volume of these 2 objects
figure #1
smaller part
4x7x2= 56m
larger part
4x3x7= 84m
84+56= 140m³
figure #2
smaller part
2x4x3= 24m
larger part
4x4x12= 192m
192+24= 216in³
Answer:
3 is 140i think 4 is 396 (sorry if im wrong about 4)
Step-by-step explanation:
Polygon ABCD is a rectangle. What is its area? Round your answer to the nearest tenth.
(2,5)
(-4,3)
(3, 2)
(-3,0)
Answer: The correct option is A.
Step-by-step explanation:
To calculate the distance between the points, we use the formula:
\(d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}\)
where,
d= distance
\(x_2\text{ and }x_1\) are the coordinates of the points on x-axis
\(y_2\text{ and }y_1\) are the coordinates of the points on y-axis
For the given points:
A(-4,3), B(2,5), C(3,2) and D(-3,0)
Calculating the distance CD:\(x_2=3\\x_1=-3\\y_2=2\\y_1=0\)
Putting values in above equation, we get:
\(CD=\sqrt{(3-(-3))^2+(2-0)^2}\\\\d=\sqrt{36+4}=6.32units\)
Calculating the distance AD:\(x_2=-4\\x_1=-3\\y_2=3\\y_1=0\)
Putting values in above equation, we get:
\(AD=\sqrt{(-4-(-3))^2+(-3-0)^2}\\\\d=\sqrt{1+9}=3.16units\)
To calculate the area of a reactangle, we use the equation:
\(Area=l\times b\) ....(1)
where,
l = length of the rectangle = CD = 6.32 units
b = breadth of the rectangle = AD = 3.16 units
Putting values in equation 1, we get:
\(Area=6.32\times 3.16\\\\Area=20.0 \text{ square units}\)
Hence, the correct option is A.
Answer:
The answer is A.
Step-by-step explanation:
I got it correct.
Solve using tangent and cosine
The value of side length x in diagram a) is 4.3mm and side length x in diagram b) is 309.7 m.
What are the sides of the triangle labelled x?The figures in the image are right triangles.
A)
angle D = 17 degree
Adjacent to angle D = 14 mm
Opposite to angle D = x
To solve for the missing side length x, we use the trigonometric ratio.
Note that: tangent = opposite / adjacent
Hence:
tan( 17 ) = x/14
x = tan( 17 ) × 14
x = 4.3mm
B)
angle Z = 82 degree
Adjacent to angle Z = 43.1 m
Hypotenuse = x
Using trigonometric ratio,
cosine = adjacent / hypotenuse
cos( 82 ) = 43.1 / x
x = 43.1 / cos( 82 )
x = 309.7 m
Therefore, the measure of x is 309.7 meters.
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What is the height of a cone with the volume of 110 cubic centimeters and a base with a radius of 5
Answer:
h≈4.2cm
Step-by-step explanation:
A data set contains three points, and two of the residuals are -10 and 20.
What is the third residual?
If a data set contains three points, and two of the residuals are -10 and 20, the third residual is 10 (option B).
What is a residual?A residual is the difference between the observed value and the estimated value of the quantity of interest.
The residual of a data points should normally sum up to zero (0). This means the following applies:
-10 + 20 + x = 0
x = 10
Therefore, if data set contains three points, and two of the residuals are -10 and 20, the third residual is 10.
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