A number is :
\(m\)
_________________________________
Cube of it equals :
\( {m}^{3} \)
_________________________________
Twice the cube equals :
\(2 {m}^{3} \)
_________________________________
Subtract it from 11 equals :
\(2 {m}^{3} - 11 \)
Which is the expression we have.
_________________________________
So the correct answer is A.
And we're done.
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What is true about the set of all solutions for y = f (x) ?
A) It is infinite.
B) It is a set of ordered pairs.
c) It can be graphed.
D) all of the above
Answer:
Option D is right
Step-by-step explanation:
It is correct .
What is the answer to 5+ b = -b-2(1 - b)
Answer:
No solutions
Step-by-step explanation:
\(5+b=-b-2(1-b) \\ \\ 5+b=-b-2+2b \\ \\ 5+b=b-2 \\ \\ 5=-2\)
This is a false statement, so the equation has no solutions.
A plane flies a round trip, from city A to city B and back to A, at an airspeed of 100 km/h. The cities are 200 km apart, and B is due east from A. Neglecting the time it takes to take off, land, and turn around, a) How long does that trip take? b) Next day the plane flies the same trip, but there's a constant wind blowing from East to West at 50 km/h. Find out that time c) The following day, the plane flies the same trip, but now the wind blows from North to South. The plane must follow a straight line from A to B and back to A. a. How long does the round trip take now? d. What is the heading of the plane
It can be concluded that the plane will fly at two different headings while travelling from A to B and from B to A.
A plane flies a round trip, from city A to city B and back to A, at an airspeed of 100 km/h.
The cities are 200 km apart, and B is due east from A.
Neglecting the time it takes to take off, land, and turn around,
The round trip takes 4 hours to complete.
Time = Distance / Speed = 2 × 200 / 100 = 4 hours.
b) Next day the plane flies the same trip, but there's a constant wind blowing from East to West at 50 km/h.
Total distance = 200 km + 200 km = 400 km
Airspeed = 100 km/h
Wind speed = 50 km/h (opposite to the direction of the plane)
Apparent speed = airspeed - wind speed (for plane moving against the wind) = 100 - 50 = 50 km/h
Time to cover 200 km = Distance / Apparent speed = 200 / 50 = 4 hours
Total time taken for the round trip = 2 × 4 = 8 hours.
c) The following day, the plane flies the same trip, but now the wind blows from North to South.
The plane must follow a straight line from A to B and back to A.
Wind speed = 50 km/h
Direction of wind is perpendicular to the line joining the two cities.
Hence, it won't affect the time taken for the plane to travel from A to B and from B to A.
Time taken to travel from A to B = 200 / 100 = 2 hoursTime taken to travel from B to A = 200 / 100 = 2 hours
Total time taken for the round trip = 2 + 2 = 4 hoursd.
The heading of the plane in the round trip in this case will be different while going from A to B and while coming back from B to A.
For the first leg, the plane must fly eastward while for the second leg, it must fly westward but perpendicular to the direction of the wind.
Hence, it can be concluded that the plane will fly at two different headings while travelling from A to B and from B to A.
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What are the domain and range of the exponential function below?
F(x) = 3^x + 2
Answer:
3 is the x
2 is the y
Step-by-step explanation:
Which of the following is an impossible value for the sum of
deviation ? A)-3, B)1.6, C)0.28, or D) all of the above
The correct answer is:
**C) 0.28**
The sum of deviations refers to the sum of the differences between individual data points and the mean of the dataset. In any dataset, the sum of deviations from the mean will always equal 0.
This is because, when calculating the mean, you sum all the data points and then divide by the number of data points. The mean represents the "middle" or "balance" point of the dataset. When you add up the differences between each data point and the mean, the positive and negative deviations will cancel each other out, resulting in a sum of 0.
So, any non-zero value for the sum of deviations is impossible. In this case, 0.28 is the only non-zero value.
The temperature was -8 degrees at midnight
By the next day, the temperature had risen by 10 degrees.
What is the temperature the next day?
Answer:
Step-by-step explanation:
PLEASE HELP MEEEE!
What is the slope?
M= 2/1
M= 1/2
M= -2/1
M= -1/2
hi
slope is 1/2
You have A (0;0) and B ( 2;1)
slope is ( Yb-Ya )/(Xb-Xa) = (1-0)/ ( 2-0) = 1/2
What is the value of 2.3 + 8 – 1/2?
a ) 10.8
b) 10.03
c) 9.8
d) 9.5
Answer:
9.8
Step-by-step explanation:
2.3 + 8 – 1/2
Rewriting the fraction as a decimal
2.3 + 8 – .5
9.8
in exercises 1–4, assume that the matrix a is row equivalent to b. without calculations, list ranka and dimnul a. then find bases for col a, rowa, and nul a
To find the rank of A, we count the number of nonzero rows in either A or B. The rank represents the number of linearly independent rows or columns in the matrix. The dimension of the null space, also known as the nullity, is calculated by subtracting the rank from the number of columns in A. Additionally, we can find bases for the column space of A, the row space of A, and the null space of A.
To summarize:
- Rank(A) = Number of nonzero rows in A or B (same for row space)
- Dim(Nul(A)) = Number of columns in A minus Rank(A) (same for null space)
- Bases for the column space, row space, and null space of A need to be determined.
To find a basis for the column space of A, we take the pivot columns from the row-reduced form of A (or B). These pivot columns form a linearly independent set that spans the column space of A.
To find a basis for the row space of A, we take the nonzero rows from the row-reduced form of A (or B). These rows form a linearly independent set that spans the row space of A.
To find a basis for the null space of A, we solve the homogeneous system of equations A*x = 0. The basic solutions obtained represent a basis for the null space of A.
By following these steps, we can determine the bases for the column space, row space, and null space of the given matrix A, which is row equivalent to matrix B.
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Estimates are that up to _____% of children with disabilities have some type of nutritional problem. 25 45 55 75 90
Estimates suggest that up to 90% of children with disabilities have some type of nutritional problem.
These children often face unique challenges that can contribute to a higher risk of nutritional deficiencies or imbalances.
Disabilities can affect various aspects of a child's health, including their ability to eat, digest, absorb nutrients, and maintain a healthy weight.
Additionally, certain disabilities may require specific dietary restrictions or specialized nutritional interventions, which can further complicate their nutritional status.
It is crucial to address these nutritional issues and provide appropriate support to ensure the optimal growth and development of children with disabilities.
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(NEED ANSWER TODAY!) The dimensions of this figure are changed so that the new surface area is exactly 1/3 what it was originally.What is the new surface area?Enter your answer as a decimal in the box.
ANSWER: 202.46 if you need all the question answers just ask :D
what do you add to 4 1/7 to make 6
Answer:
Step-by-step explanation:
4 1/7 = 29/7
6 = 42/7
What you need to add to 4 1/7 is:
6 - 4 1/7
42/7 - 29/7
13/7.
In mixed fractions, it's 1 6/7.
In a survey, more college students indicated that they would enroll in a particular course when they were told that 70 percent of students passed it last year than when they were told that 30 percent of students failed it last year. The results of the survey best illustrate
The results of the survey best illustrate the framing effect.
What is the framing effect?People make choices based on whether possibilities are given with positive or negative connotations, such as as a gain or a loss, according to a cognitive bias known as the framing effect.
When provided with a positive frame, people tend to avoid danger, but when offered with a negative frame, they tend to seek out hazards.
The scenario of framing effect defines gain and loss as descriptions of results.
The idea aids in the development of framing effect understanding in social movements as well as in the creation of political opinion, where spin plays a significant role in political opinion polls that are framed to encourage a response advantageous to the group that commissioned the poll. It has been asserted that the framing effect is invalidating political polls.
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he current in an rlc circuit is described by d2idt2 10didt 25 i = 0 if i(0) = 10 a and di(0)/dt = 0, then for t > 0, i(t) = (a bt)est a, where a = , b = , and s = .
The current in an rlc circuit is described by d²i/dt² + 10di/dt + 25i = 0 if i(0) = 10 a and di(0)/dt = 0, then for t > 0, where a = 10 , b = 5 , and s = -5.
The given differential equation is:
d²i/dt² + 10di/dt + 25i = 0
The characteristic equation is:
r² + 10r + 25 = 0
Solving this quadratic equation, we get:
r = (-10 ± √(100 - 4*25))/2
r = -5
Since the roots are equal, the general solution of the differential equation is:
i(t) = (a + bt) \(e^{-5t}\)
Now, using the initial conditions i(0) = 10 and di(0)/dt = 0, we get:
i(0) = a = 10
di/dt = -5(a + bt)e \(e^{-5t}\) + b* \(e^{-5t}\)
At t=0, di/dt = 0
So, 0 = -5a + b
b = 5a
Substituting the value of a and b, we get:
i(t) = (10 + 5t) \(e^{-5t}\)
Therefore, for t > 0, i(t) = (10 + 5t) \(e^{-5t}\).
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Given sin A = and that angle A is in Quadrant I, find the exact sec A in simplest radical form using a rational denominator
For 50pt
Answer: Read the step by step explanation
Step-by-step explanation:
Since sin A = , we can use the Pythagorean identity to find cos A:
cos A = √(1 - sin²A) = √(1 - ( )²) = √(1 - ) = √()
Since A is in Quadrant I, both sin A and cos A are positive. Therefore, we can use the definition of secant to find sec A:
sec A = 1/cos A = 1/√() = √()/
To simplify the expression, we can rationalize the denominator by multiplying both the numerator and denominator by √():
sec A = (√()/)(√()/√()) = √()/ =
Therefore, the exact secant of A in simplest radical form using a rational denominator is .
Find the length of the third side. If necessary, round to the nearest tenth. With 8 and 6
Answer:
10
Step-by-step explanation:
You need to use the Pythagorean Theorem for this problem since you're solving for the lengths of a right triangle:
A right triangle is a triangle that has a 90-degree angle.
Let's say the side lengths are a, b, and c.
According to the Pythagorean Theorem, the way to relate a, b, and c is:
a^2 + b^2 = c^2 ==> c is the hypotenuse (the diagonal line on the triangle)
We already know a and b since they're given:
a=6 and b=8
Just apply these known values to the Pythagorean theorem:
6^2 + 8^2 = c^2 ==> solve for c
36 + 64 = c^2 ==> simplify
100 = c^2
c = 10 ==> take the square root on both sides
Answer: 10
Which of the following triangle congruence postulates proves that these triangles are congruent
AAS
SAS
ASA
SSS
Answer:
ASA
Step-by-step explanation:
the angles of the vertex are vertical angles, so they are congruent.
We have a congruent side between two congruent angles
Morganton Company makes one product and it provided the following information to help prepare the master budget:
The budgeted selling price per unit is $65. Budgeted unit sales for June, July, August, and September are 8,400, 15,000, 17,000, and 18,000 units, respectively. All sales are on credit.
Thirty percent of credit sales are collected in the month of the sale and 70% in the following month.
The ending finished goods inventory equals 30% of the following month’s unit sales.
The ending raw materials inventory equals 20% of the following month’s raw materials production needs. Each unit of finished goods requires 5 pounds of raw materials. The raw materials cost $2.50 per pound.
Thirty percent of raw materials purchases are paid for in the month of purchase and 70% in the following month.
The direct labor wage rate is $12 per hour. Each unit of finished goods requires two direct labor-hours.
The variable selling and administrative expense per unit sold is $1.60. The fixed selling and administrative expense per month is $65,000.
According to the production budget, how many units should be produced in July?
In July, 231 units are expected to be produced, according to the production budget.
What exactly is a master budget and how are they created?A master budget is a comprehensive budget that is built from a collection of smaller, more specialized business budgets. The master budget process is divided into two parts: an operating budget and a financial budget, each of which is made up of a succession of smaller budgets.
What is sales budget?A sales budget is a budget that forecasts a company's total revenue for a given time period. It forecasts the company's performance based on two factors: the number of products sold and indeed the price under which they are sold.
What is production budget?The word "production budget" is used specifically within film production sometimes, more broadly, in business. The term "film production budget" refers to the amount of money that will be spent on the complete film project. It entails identifying and estimating cost items for each stage of filmmaking.
According to the given data:The budgeted price per unit is = $65
Budgeted unit sales for July = 15000.
Units should be manufactured in July = ?
The sales budget basically reflects the anticipated sales revenue for the next accounting quarter. It is simply prepared merely displaying the predicted sales quantity multiplied by that of the unit selling price.
sales budget for July = Units selling price × expected units to be sold.
15000 = 65 x expected units to be sold
expected units to be sold = 15000/65
= 231 (approx.)
Units should be manufactured in July = 231 (approx.)
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The Bank of Connecticut issues Visa and MasterCard credit cards. It is estimated that the balances on all Visa credit cards issued by the Bank of Connecticut have a mean of $845 and a standard deviation of $275. Assume that the balances on all these Visa cards follow a normal distribution. a. What is the probability that a randomly selected Visa card issued by this bank has a balance between $900 and $1430
The probability that a randomly selected Visa card issued by the Bank of Connecticut has a balance between $900 and $1430 is approximately 0.4082, or 40.82%.
To find the probability that a randomly selected Visa card issued by the Bank of Connecticut has a balance between $900 and $1430, we need to standardize the values and use the standard normal distribution.
First, we calculate the z-scores for the given values using the formula:
z = (x - μ) / σ
where x is the given value, μ is the mean, and σ is the standard deviation. For $900, the z-score is (900 - 845) / 275 = 0.2, and for $1430, the z-score is (1430 - 845) / 275 = 2.15.
Next, we use a standard normal distribution table or a calculator to find the area under the curve between these two z-scores. The area represents the probability.
Using the table or calculator, the probability of a z-score between 0.2 and 2.15 is approximately 0.4082.
Therefore, the probability that a randomly selected Visa card issued by the Bank of Connecticut has a balance between $900 and $1430 is approximately 0.4082, or 40.82%. This means that there is a 40.82% chance of selecting a Visa card with a balance in this range.
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Calculate the total cost of my bill if I order 2 dozen cricket balls at $100.00 each.
Answer: $2400.00 without 8% tax $2592.00 with 8% tax
Step-by-step explanation:
2x12x100
(X1.08 for tax)
answer these trigonometry questions please I really don't understand it and I need help with work please and thank you
Answer:
5. 28.39
6. 58.18
Step-by-step explanation:
5. To find x, use tangent since you know the opposite and adjacent legs
tangent is opposite/adjacent
tan(x)=20/37
x=tan-1(20/37)
x=28.39
6. you want to find the hypotonuse of XYZ to use tangent to find angle W
Sin(25)=15/x
0.423=15/x
0.423x=15
x=35.46
this is the hypotonuse
now use tangent to find W
tan(x)= 35.46/22
x=tan-1(35.46/22)
x=58.18
A rectangle has dimensions of 1 and 6
Another rectangle was drawn from it using a scale factor of 1.5.What are the side lengths of this image?
b.Another rectangle has an area nine times bigger than the original (the 1x6).What is the scale factor?
Thank you!!!!
Answer:
a. 1.5 and 9
b. 3
The average of three numbers is 15. Two numbers are 7 and 10. What is the third number?
The Answer is 28
Step-by-step explanation:
In a class of students, the following data table summarizes the gender of the students
and whether they have an A in the class. What is the probability that a student chosen
randomly from the class is a male who does not have an A?
Female Male
Has an A
5
14
Does not have an A
7
4.
Answer:
Step-by-step explanation:
The odometer in your mother’s car reads 2,056 miles less than the odometer in your uncle’s car. Your mother’s odometer reads 22,010 miles. About how many miles are on the odometer of your uncle’s car?
Answer:
24066
Step-by-step explanation:
M=u-2056
U=m+2056
U=22010+2056=24066
one degree of latitude is equal to which of the following? 10 minutes 60 seconds 30 seconds 60 minutes
Answer: one degree of latitude is equal to 60 Minutes
Steps- We Know that-
1 min = 60 sec
1 day = 24 hrs
Additionally, The hour hand measures the clock's 360 degree arcs twice throughout the day, i.e.
2*360= 720 degree
1 degree 2*360/12= 60 min
Hence proved 1 degree = 60 Minutes
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1
Select the correct answer.
What is the standard form of this complex number?
(2 + 2i)
(1 - 0)
OA. 0 + 21
OB. 1 - 1
Oc. o ?
OD. 1 + 1
Answer:
A. 0+2i
Step-by-step explanation:
Plato (5/5 on test)
For a school project two students shona and miguel record the number of text messgaes each of them sent each day for 60- day period. the box plots summarize the record data
The range of the data for Shona and Miguel will be 35 and 30, while the median of the data will be 40 and 42.5.
What is a boxplot?A boxplot is a visual representation of a data set's dispersion and centers.
The interquartile range and the mean of the data set are two examples of spread measures. The mean, average, and median are examples of center measures.
The data set of the Miguel is;
25,30,35,40,45,50,55
The median of the data is;
\(\rm Median =( \frac{n+1}{2}) ^{th} term \\\\ Median =( \frac{7+1}{2} )^{th} term \\\\ Median = 4 ^{th} term \\\\ Median = 40\)
Shona's data is;
25,30,35,40,45,50,55,60
The median of Miguel's data is;
\(\rm Median_{shona} = \rm \frac{40+45}{2} \\\\ Median_{shona} =42.5\)
The range of Miguel's data is;
⇒ 55-25
⇒ 30
The range of Shona's data is;
⇒60-25
⇒35
Hence, the median of the data for Shona and Miguel will be 40 and 42.5 and the range of the data for Shona and Miguel will be 35 and 30.
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Find the value of each variable in the
circle to the right. The dot represents
the center of the circle.
131°
a =
(Simplify your answer. Do not include the degree symbol in
your answer.)
The value of each variable in the given circle are:
a = 65.5° b = 90° c = 49°
How to Find the Value of each Variable in the Circle?In order to find the value of each variable in the given circle, recall the following:
The measure of an inscribed angle of half a circle is equal to 90 degrees.The measure of an inscribed angle is half the measure of any arc it intercepts.These facts are true based on the inscribed angle theorem.Find a:
a = 1/2(131)
a = 65.5°
Find b:
b is an inscribed angel of half of the circle, therefore:
b = 90°
Find c:
c = 180 - 131
c = 49°
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MATHEMATICS: The 5 and 11 terms of an Arithmes Progression (AP) are 13 and 31 respectively. Find the sum of its first term and common difference!
Answer:
\(a_1 = 1\\d = 3\)
Step-by-step explanation:
The nth term of an arithmetic progression is \(a_n = a_1 + (n - 1)d\).
You are given that \(a_5 = 13\) and \(a_{11} = 31\).
Therefore, we can solve the following system of equations to get the first term, as well as the difference.
\(-\begin{cases}a_1 + 4d = 13\\a_1 + 10d = 31\end{cases}\\\\\to 6d = 18\\\to d = 3\\\\\text{Substitute d = 3 into one of the equations to find }a_1\text{:}\\a_1 + 4 \times 3 = 13\\a_1 + 12 = 13\\\to a_1 = 1\)