Answer:
3x²
Step-by-step explanation:
In this question, you will plug in the expressions into the question and solve.
We know what f(x) and g(x) is, so plug in it and solve:
-x - (-3x² - x)
Distribute the negative to the variables inside the parenthesis.
-x + 3x² + x
Combine like terms.
3x²
Since this is what we're left with (we can't simplify further), 3x² would be your final answer.
What is the midpoint of the line segment with endpoints (-1,7) and (3, -3)?
A. (1, 2)
B. (1,4)
C. (2, 4)
D. (2, 2)
If 15 oranges cost Rs.45, what is the cost of 81 oranges?
Answer 243
Step by step explanation
first you have to find out the cost of 1 orange
so 45÷15 = 3
the cost of 1 orange is 3 rupees
number of orange = 81
then cost of one orange = 3
81 ×3 =243
and the cost of 81 orange is 243 rupees
Are the ratios 5:20
and 1:4 Equivalent
Answer:
Step-by-step explanation:
Yes, the ratios 5:20 and 1:4 are equivalent because they represent the same proportional relationship. To confirm this, you can simplify both ratios to their simplest form.
For the ratio 5:20, you can divide both terms by 5 to get 1:4.
5:20 ÷ 5 = 1:4
Therefore, 5:20 and 1:4 are equivalent ratios.
TRUE, because 20 divided by 4 = 5 and there is 5 so yes!
Pls give me brainliest <3
16. During a discount salle, an online video game store sells all puzzle games for $6.00 and all action gernes for
$8.00. Bella plans to spend exactly $19.00 on games from this store.
Which equation represents Bella's purchasing options, where is the number of puzzle games bought and yis
the number of action games bought?
A. (6 + 8) = 404
B. 40+ 62 = 8y
C. 40 +8y=63
D. 6x + 8y = 40
What would be the opportunity cost of spending $90,000 on advertising but only producing 12,000 units? Potential sales (before advertising) of 12,000 units, Price of $16, Fixed costs of $48,000, Variable costs $8, Advertising $90,000 Assume advertising multiplier is (30,000+ advertising)/30,000
$76,800
$576,000
$192,000
−$191,936
$768,000
The opportunity cost of spending $90,000 on advertising but only producing 12,000 units can be calculated by comparing the benefits of the advertising investment to the potential alternative uses of that money.
First, let's calculate the total cost of producing 12,000 units. Fixed costs amount to $48,000, and variable costs are $8 per unit, resulting in a total cost of $48,000 + ($8 × 12,000) = $144,000.
Next, we need to calculate the potential sales revenue without advertising. With a price of $16 per unit, the potential sales revenue would be $16 × 12,000 = $192,000.
Now, let's calculate the potential sales revenue after advertising. The advertising multiplier is given as (30,000 + advertising) / 30,000. In this case, the multiplier would be (30,000 + 90,000) / 30,000 = 4.
Therefore, the potential sales revenue after advertising would be $192,000 × 4 = $768,000.
The opportunity cost is the difference between the potential sales revenue after advertising ($768,000) and the potential sales revenue without advertising ($192,000), which is $768,000 - $192,000 = $576,000.
To know more about calculated , visit ;
https://brainly.in/question/2221194
#SPJ11
can someone help me with this
Find the product of 32 and 46. Now reverse the digits and find the product of 23 and 64. The products are the same!
Does this happen with any pair of two-digit numbers? Find two other pairs of two-digit numbers that have this property.
Is there a way to tell (without doing the arithmetic) if a given pair of two-digit numbers will have this property?
Let's calculate the products and check if they indeed have the same value:
Product of 32 and 46:
32 * 46 = 1,472
Reverse the digits of 23 and 64:
23 * 64 = 1,472
As you mentioned, the products are the same. This phenomenon is not unique to this particular pair of numbers. In fact, it occurs with any pair of two-digit numbers whose digits, when reversed, are the same as the product of the original numbers.
To find two other pairs of two-digit numbers that have this property, we can explore a few examples:
Product of 13 and 62:
13 * 62 = 806
Reversed digits: 31 * 26 = 806
Product of 17 and 83:
17 * 83 = 1,411
Reversed digits: 71 * 38 = 1,411
As for determining if a given pair of two-digit numbers will have this property without actually performing the multiplication, there is a simple rule. For any pair of two-digit numbers (AB and CD), if the sum of A and D equals the sum of B and C, then the products of the original and reversed digits will be the same.
For example, let's consider the pair 25 and 79:
A = 2, B = 5, C = 7, D = 9
The sum of A and D is 2 + 9 = 11, and the sum of B and C is 5 + 7 = 12. Since the sums are not equal (11 ≠ 12), we can determine that the products of the original and reversed digits will not be the same for this pair.
Therefore, by checking the sums of the digits in the two-digit numbers, we can determine whether they will have the property of the products being the same when digits are reversed.
IF balance exist in supprting documents then where we will put this balance in reconciliation
Bank reconciliations aren't restricted to only your bank accounts. Any bank accounts or different records with deals ought to be accommodated.
Assemble your bank proclamation, general record, and bank compromise archives for the month you're inspecting.
Look at the last figure on your compromise record to that record's bank proclamation. The sums ought to coordinate.
Check the last figure on your bank compromise report against your overall record aggregates and guarantee they match.
Calculate the distinction between your bank explanation finishing balance and your overall record absolute. Your bank explanation ought to appropriately mirror the distinction.
Match transactions from your bank explanation and general record account. Every exchange in one record ought to have a related exchange in the other. To keep away from disarray, mark these off as you go.
Feature any non-matching transactions between your overall record and bank explanation. These things are 'accommodating' and ought to be represented in your bank compromise record with full clarification of the disparity. These things are normally the consequence of assets that yet cleared or makes sure are ready to be cleared.
Twofold checks that the contrast between your bank articulation and the overall record is appropriately represented.
to know more about transactions click here:
https://brainly.com/question/26138968
#SPJ4
(Trig word problems)
Charlotte wants to use a sheet of fiberboard 34 inches long to create a skateboard ramp with a 20° angle of elevation from the ground. How high will the ramp rise from the ground at its highest end? Round your answer to the nearest tenth of an inch if necessary.
Answer:
The ramp will rise 11.6 inches from the ground at its highest end.
11.6 in.
Step-by-step explanation:
In this example we can use the sine function to determine how high the ramp will rise from the ground.
The definition of the sine function is
\(\sf \sin x= \dfrac{opposite}{hypotenuse}\)
\(\sf \sin x= \dfrac{O}{H}\)
In this case we are looking to evaluate the length of the opposite side.
We can rearrange the equation to isolate \(\sf O\).
Multiply both sides of the equation by \(\sf H\).
\(\sf H \cdot \sin x= \dfrac{O}{H} \cdot H\)
Cancel the common factor of \(\sf H\) on the right side leaves us with
\(\sf H \cdot \sin x= \dfrac{O}{\diagup \!\!\!\! H} \cdot \diagup \!\!\!\! H\)
\(\boxed{\sf O= H \cdot \sin x}\)
Numerical Evaluation
In this example we are given
\(\sf x=20\\\sf H=34\)
Substituting our given values into the equation yields
\(\sf O= 34\cdot \sin 20\)
\(\sf O=11.628685\)
Rounding to the nearest tenth
\(\sf O=11.6\)
Learn more about sine and the other trig functions here
https://brainly.com/question/2680050
8. Set up the artificial variable LP (Phase I LP) and specify the EBV and the LBV. DO not perform a complete pivot (complete with the exchange of basic variables). ( 16pts ) MaxZ=4x
1
+7x
2
+x
3
s.t.
2x
1
+3x
2
+x
3
=20
3x
1
+4x
2
+x
3
≤40
8x
1
+5x
2
+2x
3
≥70
x
1
,x
2
≥0
To set up the artificial variable LP (Phase I LP) for the given problem, we introduce an artificial variable, LP, to the objective function with a coefficient of 1. The artificial variable is used to identify infeasible solutions.
To set up the artificial variable LP (Phase I LP), we modify the objective function as follows:
Maximize Z = 4x1 + 7x2 + x3 + LP
The artificial variable LP is introduced to the objective function with a coefficient of 1. This allows us to track its value during the iterations.
The initial constraints remain the same:
2x1 + 3x2 + x3 = 20
3x1 + 4x2 + x3 + x4 = 40
8x1 + 5x2 + 2x3 - x5 = 70
The initial basic variables (BV) are the slack variables corresponding to the equality and inequality constraints, namely, x3 and x4. The artificial variable LP is initially a non-basic variable.
The initial artificial variables' basic variable (BVB) values are set to the right-hand side values of the constraints:
x3 = 20
x4 = 40
The initial artificial variable LP's value is set to 0.
Next, the artificial variable LP is selected as the entering variable, as it has a positive coefficient in the objective function. To determine the leaving variable, we perform the ratio test using the ratios of the right-hand side values and the entering column values (coefficients of LP) for the respective constraints.
The leaving variable is determined based on the minimum ratio, ensuring that the corresponding row represents a valid pivot element. If no valid pivot element is found, the problem is infeasible.
This completes the setup of the artificial variable LP (Phase I LP) without performing a complete pivot. Further steps would involve applying the simplex method and iteratively pivoting to find the optimal solution or identify infeasibility.
Learn more about coefficient here: brainly.com/question/13431100
#SPJ11
A doctor finds that patients inhales once every 3 seconds. The same patient's heart beats 82 times per minute while at rest. How many times does this patient inhale in a 24-hour day?
Using arithmetic operations it is obtained that the patient inhales approximately 29,520 times in a 24-hour day.
What is arithmetic operation?
A subject of mathematics known as arithmetic operations deals with the study and use of numbers in all other branches of mathematics. Basic operations including addition, subtraction, multiplication, and division are included.
We can start by converting the patient's breathing rate from seconds to minutes, since we have the heart rate in minutes.
Use the arithmetic operation of multiplication and division -
The patient inhales once every 3 seconds, which is equivalent to -
(1 inhale / 3 seconds) x (60 seconds / 1 minute) = 20 inhales per minute
Next, we can use the patient's heart rate to find the number of breaths per heartbeat, and then multiply by the heart rate to get the total number of breaths per minute -
Breaths per heartbeat = 1 inhale / 4 heartbeats (since each heartbeat corresponds to 4 phases of the cardiac cycle, during which the patient inhales and exhales once)
Breaths per minute = (Breaths per heartbeat) x (Heart rate)
= (1/4) x 82
= 20.5
So the patient takes approximately 20.5 breaths per minute.
Multiplying this by the number of minutes in a day (24 hours x 60 minutes per hour = 1440 minutes) gives -
Breaths per day = (Breaths per minute) x (Minutes per day)
= 20.5 x 1440
= 29,520
Therefore, the number of inhales is 29,520.
To learn more about arithmetic operation from the given link
https://brainly.com/question/20628271
#SPJ1
Each of these equations represents the same function written in different forms.
Standard Form: f(x)=x2−2x−8
Factored Form: f(x)=(x+2)(x−4)
Vertex Form: f(x)=(x−1)2−9
The zeros of a function are the values of x for which the function is equal to zero. Which form of the equation makes it easiest to see the zeros of the function?
Answer: f(x)=(x+2)(x−4) because you can see when each factor is equal to zero.
Step-by-step explanation:
The form of the equation that makes it easiest to see the zeros of the function is (b) Factored Form: f(x)=(x+2)(x−4)
How to determine the true statement?When an equation has been factored, the zeros of the equation can be determined by equation the function to 0.
This means that we simply equate the factored form of the equation to 0.
Hence, the form of the equation that makes it easiest to see the zeros of the function is (b) Factored Form
Read more about quadratic equations at:
https://brainly.com/question/8649555
#SPJ2
what is the solution to the equation below? round your answer to two decimal places. log3 x=2.3
Answer: x = 12.51
Step-by-step explanation:
for students who earned a score of 20 or lower on the quiz, the cumulative frequency is and the relative cumulative frequency is . a.) 16; 32% b.) 9; 18% c.) 38; 76% d.) 29; 58%
The cumulative frequency and relative cumulative frequency for students who earned a score of 20 or lower on the quiz is 29; 58%. (option d)
Cumulative frequency refers to the running total of frequencies, or the sum of frequencies up to a certain point. In this case, the cumulative frequency is the number of students who scored 20 or lower on the quiz.
Relative cumulative frequency, on the other hand, expresses the cumulative frequency as a percentage of the total number of students in the sample. To find the relative cumulative frequency, we divide the cumulative frequency by the total number of students and multiply by 100.
Therefore, for students who scored 20 or lower on the quiz, the cumulative frequency is 29 and the relative cumulative frequency is 58% (29/50 * 100).
Learn more on Cumulative Frequency:
https://brainly.com/question/22659463
#SPJ4
Answer: 38, 76%
Step-by-step explanation:
Recall that for cumulative frequency we add up all the values that fall above or below a given bin of data. So, if we want all scores less than 20 it should be the first four bins with a total of:
8 plus 8 plus 13 plus 9 equals 38
To get the relative frequency we take the total in the bins for scores of 20 and lower divided by the total of all bins:
38 over 50 equals 0.76 equals 76 percent sign
75in, 60 in Pythagorean
What’s the missing leg?
Answer:
X = 45
Step-by-step explanation:
a^2 + b^2 = c^2
60^2 + a^2 = 75^2
3,600 + a^2 = 5,625
- 3,600 - 3,600
____________________
a^2= 2025
square root them
a^2 = a
2025 = 45
so x =45
What is the most precise name for quadrilateral ABCD with vertices A(-3, 2), B(-1, 4), C(4, 4), and D(2, 2)?
parallelogram
rhombus
quadrilateral
rectangle
Answer:
The most precise name for quadrilateral ABCD with vertices A(-3, 2), B(-1, 4), C(4, 4), and D(2, 2) is a parallelogram.
To see why, we can use the slope formula to find the slope of each side of the quadrilateral. If opposite sides of a quadrilateral have the same slope, then it is a parallelogram.
Slope of AB: (4 - 2) / (-1 - (-3)) = 2/2 = 1
Slope of CD: (2 - 4) / (2 - 4) = -2/2 = -1
Slope of BC: (4 - 4) / (-1 - 4) = 0/-5 = 0
Slope of AD: (2 - 2) / (-3 - 2) = 0/-5 = 0
We can see that the slopes of AB and CD are equal, and the slopes of BC and AD are equal. Therefore, ABCD is a parallelogram.
While it is also true that the opposite sides of this parallelogram are equal in length, we cannot say that it is a rhombus because the diagonals are not perpendicular. We also cannot say that it is a rectangle because the angles are not all right angles. Therefore, the most precise name for this quadrilateral is a parallelogram.
Step-by-step explanation:
Need answer ASAP TY.............................
Answer:
sin(g) = x/z
Step-by-step explanation:
Sine is opposite over hypotenuse. Our opposite is x and our hypotenuse is z. Therefore, our answer is sin(g) = x/z
In a flower garden, there are 6 tulips for every 7 daisies. If there are 48 tulips, how many daisies are there?
Answer:
56, There are 56 daisies.
Step-by-step explanation:
the equation of a line is y equals 4 x plus 3 over 2. what is the slope of a line that is perpendicular to this line?
Therefore, the slope of a line perpendicular to the given line is -1/2.
The given equation of the line is y = (4x + 3) / 2.
To find the slope of a line perpendicular to this line, we need to determine the negative reciprocal of the slope of the given line.
The slope-intercept form of a line is y = mx + b, where m represents the slope of the line.
Comparing the given equation y = (4x + 3) / 2 with the slope-intercept form, we can see that the slope of the given line is 4/2, which simplifies to 2.
The negative reciprocal of 2 is -1/2.
To know more about slope,
https://brainly.com/question/30080617
#SPJ11
Y=9x+2x please help, i don't know how to
do this stuff
Answer: I hope you understand, just mutiply whatever x is by 11 to get Y
Step-by-step explanation:
x = unknown number
9x+2x= 11x
Y=11x
PLS HELP THIS IS HARD ANYONE
Answer:
PLS HELP THIS IS HARD ANYONE
Step-by-step explanation:
Get a taste of your own medicine
Multiply 28.253 × 0.49 = _____
Answer:
13.84397
Step-by-step explanation:
Step-by-step explanation:
28253/1000*49/100
1384397/100000
=13.84397
for the independent-measures t statistic, what is the effect of increasing the difference between sample means? group of answer choices increase the likelihood of rejecting the null and increase measures of effect size increase the likelihood of rejecting the null and decrease measures of effect size decrease the likelihood of rejecting the null and increase measures of effect size decrease the likelihood of rejecting the null and decrease measures of effect size
Choose:
Increase the likelihood of rejecting the null hypothesis and increase measures of effect size.
T STATISTICThe t statistic is the ratio of the calculated deviation of a parameter from its hypothesized value with its standard error.
In general, the likelihood of discovering a significant difference increases as the variance of the difference scores increases. A limited variation for the difference scores in a repeated-measures study suggests that the treatment has little or no effect.
Increasing the number of scores within each sample reduces the predicted standard error of the mean difference. This increases the size of the observed t, making it easier to reject the null hypothesis H0. In other words, when sample size increases, statistical power increases.
Higher t-value corresponds to a lower p-value, indicating that the difference between sample-mean (Χ) and population-mean (μ) is statistically significant (hence we reject the null hypothesis).
Learn more about t-statistic here:
https://brainly.com/question/15236063
#SPJ4
1/3 x - 6 = 3 what is the answer for x
Answer:
x = 3
Step-by-step explanation:
Answer:
x=27
Step-by-step explanation:
The graph on the right shows the remaining life expectancy, E, in years for females of age x. Find the average rate of change between the ages 50 and 60. Describe what the average rate of change means in this situation.
The average rate of change of the function over the interval is -0.93
Finding the average rate of changeFrom the question, we have the following parameters that can be used in our computation:
The graph
The interval is given as
From ages = 50 to x = 60
The function is not a linear function
This means that it does not have a constant average rate of change
So, we have the following from the graph
E(50) = 29.8
E(60) = 20.4
Next, we have
Rate = (29.8 - 20.5)/(50 - 60)
Evaluate
Rate = -0.93
Hence, the rate is -0.93
Read more about average rate of change at
brainly.com/question/17131025
#SPJ1
I will give brainliest !!!!!
An office supply store sells notebooks in packs of 15 and folders in packs of 18. A business wants to have one notebook for each folder. What is the least number of notebooks and folders that the business has to buy?
30
270
3
90
Answer:
90 notebooks and folders
Step-by-step explanation:
Find the least common multiple (LCM) or 18 and 15!
18 x 5 = 90
15 x 6 = 90
Therefore, your answer is 90
Hope this helps!
(1 point) if the set { 1,2,3 } spans 3 and a=[123], then the nullity(a) =
To determine the nullity of the vector a = [1, 2, 3], we need to find the dimension of the null space (or kernel) of the matrix that represents the linear transformation associated with the vector a.
Given that the set {1, 2, 3} spans 3, it means that the vectors in this set are linearly independent and form a basis for the vector space.
Now, let's consider the matrix A whose columns are formed by the vectors in the given set:
A = [1, 2, 3]
To find the nullity, we need to solve the equation A * x = 0, where x is a vector of appropriate dimensions.
In this case, the equation becomes:
[1, 2, 3] * [x1, x2, x3]ᵀ = 0
Simplifying, we get:
x1 + 2x2 + 3x3 = 0
This equation represents a plane in three-dimensional space.
To find the nullity, we need to find the dimension of the solution space of this equation. In this case, the solution space is a line since the equation represents a plane.
Therefore, the nullity of the vector a = [1, 2, 3] is 1, which corresponds to the dimension of the solution space, in this case, a line.
To learn more about matrix : brainly.com/question/29132693
#SPJ11
How do you evaluate log8 32?
A 3/5
B 5/3
B. 5/3 is the evaluation of \(log_{8} 32\) using the base conversion method.
using the base conversion - \(log_{a} p= \frac{log_{b} p}{log_{b} a}\)
convert the base 8 into the base 2 algorithm
\(\frac{log_{2} 32}{log_{2} 8}\)
since 32=\(2^{5}\)
then, \(log_{2}(32)=5\)
similarly, since \(8=2^{3}\)
then, \(log_{2} (8)=3\)
this makes our expression 5/3.
know more about base conversion:
https://brainly.com/question/2845384
Answer:
5/3
Step-by-step explanation:
The change of base formula says logb b a = [logc c a] / [logc c b].
To evaluate log8 32, you need to use the following equation: log8 32 = x, where x is the unknown value.
This can be rewritten as 8^x = 32.
Solving for x gives x = 5/3.
To learn more about Base Formula
https://brainly.com/question/14407076
HELPPP IT'S DUE IN 30 MINUTES I"LL MARK YOU THE BRAINLIEST!!!
You are a wedding planner who is filling small pouches with biodegradable confetti for a wedding reception. You want to fill each pouch with of a cup of confetti, and you have a total of 210 fluid ounces of confetti. You need enough pouches for 120 guests.
Which equation can you use to determine whether you have enough pouches for 120 guests?
number of pouches = 210 +
number of pouches = 210 –
number of pouches = 210 × 8 ×
number of pouches = 210 ÷ 8 ×
number of pouches = 210 ÷ 8 ÷
Answer:
you have 26 cups so i think its the 4th one or the 5th one
Step-by-step explanation:
Hope this helps!
what is the answer to this 5 ( y + 8)
Answer:
ijsdbf
dsad
Stepdvds-by-step explanation:
d