T=A3/2 with out rational exponents
Answers
After the conversion, we get T² = 1/3 A
It is given that
T = \(A^{\frac{3}{2} }\)
We have to convert the equation without rational exponents
T³ = A²
1/2 T = A³
T² = A³
T² = 1/3A
Therefore we get T² = 1/3 A without using the exponents.
To know more about the exponents refer to the link given below:
https://brainly.com/question/20726608
#SPJ9
Related Questions
In a recent year, the annual
salary of the Governor of New York was
$179,000. During the same year, the
annual salary of the Governor of
Tennessee was $94,000 less. Write and
solve an equation it to find the annual
salary of the Governor of Tennessee in
that year.
Answers
Answer:
$179,000 - $94,000 = annual salary for the Governor of Tennessee
using the line of best fit
Answers
The monthly cell phone bill when shared data equals zero is given as follows:
$26.
How to define a linear function?The slope-intercept representation of a linear function is given by the equation presented as follows:
y = mx + b
The coefficients of the function and their meaning are described as follows:
m is the slope of the function, representing the change in the output variable y when the input variable x is increased by one.b is the y-intercept of the function, which is the initial value of the function, i.e., the numeric value of the function when the input variable x assumes a value of 0. On a graph, it is the value of y when the graph of the function crosses the y-axis.The intercept of the line in this problem is given as follows:
b = 26.
Hence $26 is the monthly cell phone bill when shared data equals zero.
More can be learned about linear functions at https://brainly.com/question/24808124
#SPJ1
Write in ordinary form
3.6
×
10
−
1
Answers
10/1 = 10
so 3.6 x 10 = 36
:)
i cannot figure this out for the life of me. any help?
Find f(3) for the
piece-wise function.
f(x) =
x+1
X
if x > 0
if x ≤ 0
f(3) = [?]
Answers
Answer:
f(3) = 3 + 1 = 4
Step-by-step explanation:
Since 3 > 0, we need to focus on the part of the function where x > 0. So:
f(3) = 3 + 1 = 4.
There are 60 people at the subway station 12 of them jumped the
turnstile. What percentage of people jumped the turnstile? What
percentage of people paid?
Answers
Answer:
20% jumped the turnstile
80% paid
Step-by-step explanation:
We can calculate the percent of people that jumped it by dividing the number that did by the total:
12/60 = 0.2, which is 20%
If 20% jumped it, then this means 80% paid.
Answer:
jumped= 20%
paid= 80%
Step-by-step explanation:
\(\frac{12}{60}\)×100 = 20%
\(\frac{48}{60}\)×100 = 80%
A phone company has a monthly data plan where a customer pays 25$ and then a certain amount of money per GB of data used on the phone. If a customer uses 3 GB, then monthly cost will be $37. If the customer uses 5 GB, then monthly cost will be $45. Find a linear equation for the monthly cost of the data plan as a function of x, the number of GB USED. C(X)=
Answers
Ley "x" represents the amount of extra data used in one month.
"y" represents the monthly cost.
"m" represents the slope of the linear equation, which is the cost per extra GB.
"b" represents the constant of the linear equation, in this case, the cost of the data plan.
The line can be expressed as:
\(y=mx+b\)We know that the cost of the data plan is $25, this value represents the constant of the line (b)
Next, you have to determine the slope of the line.
The monthly cost after using 3GB (x) is $37 (y), this information corresponds to one ordered pair of the line (3,37)
The monthly cost after using 5GB (x) is $45 (y), this information corresponds to another ordered pair of the line (5,45)
Using both ordered pairs you can calculate the slope of the line with the formula:
\(m=\frac{y_2-y_1}{x_2-x_1}\)Replace the coordinates and calculate the sloe:
\(\begin{gathered} m=\frac{45-37}{5-3} \\ m=\frac{8}{2} \\ m=4 \end{gathered}\)The slope of the line is m=4, this means that the monthly cost of the plan increases $4 for every extra GB used.
Now that we have calculated the slope we can determine the equation of the line:
\(y=4x+25\)Which of the following is a point-slope equation of a line with the point (-6, 2)
and a slope of 1/2?
Answers
Answer:
Step-by-step explanation:
b = 2 - (1/2)(-6)
b = 2 + 3
b = 5
y = 1/2x + 5
Given that NO ML and ML JK, which postulate or theorem can be used to show that all 3 center triangles in the
Antigua and Barbuda flag are similar?
A. ASA similarity theorem
B. SSS similarity theorem
C. SAS similarity theorem
D. AA similarity postulate
Answers
Answer:
A
Step-by-step explanation:
Source:
Trust me bro
The theorem used to prove the three triangles are similar is the ASA similarity theorem. The correct option is A.
What is the similarity?If two objects are having the same shape then they will be termed as similar. So in mathematics, if two figures have the same shapes, lines or angles then they are called similar.
According to the ASA rule, two triangles are said to be congruent if any two angles and the side included between the angles of one triangle are equal to the corresponding two angles and the side included between the angles of the second triangle.
To know more about similarities follow
https://brainly.com/question/24184322
#SPJ2
Aircraft A has 105 more seats than aircraft B. If their total number of seats is 519, find the number of seats for each aircraft.
Aircraft A has how many seats?
Answers
Aircraft A has 312 seats.
Let's assume that Aircraft B has x seats.
According to the given information, Aircraft A has 105 more seats than Aircraft B. So, the number of seats in Aircraft A can be expressed as x + 105.
The total number of seats in both aircraft is 519, which can be represented by the equation:
x + (x + 105) = 519
Simplifying this equation, we have:
2x + 105 = 519
Subtracting 105 from both sides, we get:
2x = 414
Dividing both sides by 2, we find:
x = 207
Therefore, Aircraft B has 207 seats.
To find the number of seats in Aircraft A, we substitute the value of x back into the expression x + 105:
Aircraft A = 207 + 105 = 312
Hence, Aircraft A has 312 seats.
for such more question on number of seats
https://brainly.com/question/859564
#SPJ8
Part E
Open the parallel lines rotation application .The right set of parallel lines is a 90° rotation counterclockwise of the left set of
parallel lines. Click the 90° counterclockwise button. Are the two sets of parallel lines the same? What does this mean about
how parallel lines change when you rotate them?
Answers
Two sets of parallel lines continue to stay equidistant to each other in each set of parallel lines, this same parallel line at an angle to the Y-axis will not intersect the parallel line at an angle to the x-axis if they are extended infinitely.
What is Angle Translation?A translation is a type of transformation that involves sliding each point in a figure the same distance in the same direction. In geometry, translating something simply means moving it around. We do not alter it in any way. When we translate a segment, it remains a segment and its length remains constant. Similarly, when we translate an angle, the angle's measure remains constant.According to the given diagram:
Although the two sets of parallel lines in each set remain equidistant to each other, the parallel line at an angle to the Y-axis will not intersect the parallel line at an angle to the x-axis if they are extended infinitely.Therefore, two sets of parallel lines continue to stay equidistant to each other in each set of parallel lines, this same parallel line at an angle to the Y-axis will not intersect the parallel line at an angle to the x-axis if they are extended infinitely.
Know more about Angle Translation here:
https://brainly.com/question/12861087
#SPJ4
IM NOT GOOD AT MATH PLEASE HELP WITH THESE FEW QUESTIONS ASAP
Answers
Answer:
for the first question
solve for t:t= square root of 2da/a (2da over a)
Solve for a : a= 2d/t squared
Solver for d: d=t squared /2(over 2)
Step-by-step explanation:
Solve for the variable in each equation. Enter your answers in the boxes below. 2a = 11.4 b - 5 = 7.2 b = 3.4 + c= 10 DO 5.7 = d = 1.9
Answers
Number 1
2a = 11.4
a = 11.4/2
a = 5.7
Number 2
b - 5 = 7.2
b= 7.2 + 5
b = 12.2
Number 3
3.4 + c = 10
c = 10 - 3.4
c = 6.6
Number 4
5.7 / d = 1.9
5.7 = 1.9d
d = 5.7/1.9
d = 3
(Stock Level). A.S. Ltd. produces a product 'RED' using two components X and Y. Each unit of 'RED' requires 0.4 kg. of X and 0.6 kg. of Y. Weekly production varies from 350 units to 450 units averaging 400 units. Delivery period for both the components is 1 to 3 weeks. The economic is 600 kgs. and for Y is 1,000 kgs. Calculate: (1) Re-order level of X; (ii) Maximum level of X; (iii) Maximum level of Y.
Answers
Answer:
Step-by-step explanation:
To calculate the reorder level of component X, we need to find out the average weekly consumption of X.
Average consumption of X per unit of 'RED' = 0.4 kg
Average weekly production of 'RED' = 400 units
Average weekly consumption of X for producing 400 units of 'RED' = 0.4 kg/unit x 400 units/week = 160 kg/week
Assuming lead time of 3 weeks for delivery of X, the reorder level of X would be:
Reorder level of X = Average weekly consumption of X x Lead time for delivery of X
Reorder level of X = 160 kg/week x 3 weeks = 480 kg
To calculate the maximum level of X, we need to take into account the economic order quantity and the maximum storage capacity.
Economic order quantity of X = Square root of [(2 x Annual consumption of X x Ordering cost per order) / Cost per unit of X]
Assuming 52 weeks in a year:
Annual consumption of X = Average weekly consumption of X x 52 weeks/year = 160 kg/week x 52 weeks/year = 8,320 kg/year
Ordering cost per order of X = 600
Cost per unit of X = 1
Economic order quantity of X = Square root of [(2 x 8,320 kg x 600) / 1] = 2,771.28 kg (approx.)
Maximum storage capacity of X = Economic order quantity of X + Safety stock - Average weekly consumption x Maximum lead time
Assuming a safety stock of 20% of the economic order quantity and a maximum lead time of 3 weeks:
Maximum storage capacity of X = 2,771.28 kg + (0.2 x 2,771.28 kg) - (160 kg/week x 3 weeks) = 2,815.82 kg (approx.)
To calculate the maximum level of Y, we follow the same approach as for X:
Annual consumption of Y = Average weekly consumption of Y x 52 weeks/year
Average consumption of Y per unit of 'RED' = 0.6 kg
Average weekly consumption of Y for producing 400 units of 'RED' = 0.6 kg/unit x 400 units/week = 240 kg/week
Annual consumption of Y = 240 kg/week x 52 weeks/year = 12,480 kg/year
Economic order quantity of Y = Square root of [(2 x Annual consumption of Y x Ordering cost per order) / Cost per unit of Y]
Ordering cost per order of Y = 1,000
Cost per unit of Y = 1.5
Economic order quantity of Y = Square root of [(2 x 12,480 kg x 1,000) / 1.5] = 915.65 kg (approx.)
Maximum storage capacity of Y = Economic order quantity of Y + Safety stock - Average weekly consumption x Maximum lead time
Assuming a safety stock of 20% of the economic order quantity and a maximum lead time of 3 weeks:
Maximum storage capacity of Y = 915.65 kg + (0.2 x 915.65 kg) - (240 kg/week x 3 weeks) = 732.52 kg (approx.)
\(7*3^x=189\)
Answers
7*3^3=189
Good luck
Hope this helps
Write 69200000 in scientific notation
Answers
69200000 in scientific notation is 6.92 × 10⁷.
How to represent number in scientific notation?Scientific notation is a form of presenting very large numbers or very small numbers in a simpler form.
Scientific Notation is a special way of writing numbers:
For example 800 is written as 8 × 10² in Scientific Notation.
Therefore, let's write the scientific notation of the number 69200000.
Hence,
69, 200, 000 = 6.92 × 10⁷
The logic is that we will count backwards until we meet the last number. Since we counted towards the left side, the exponent will be positive.
learn more on scientific notation here:https://brainly.com/question/10386920
#SPJ1
y ≥ 2x+4
y≤ - x² +6
Need to list all points of intersection from system of inequalities
Answers
Answer:
Step-by-step explanation:
The intersection consists of the elements that are contained in all of the intervals.
(-2, 2) (-1, 4) (0, 6)
Correct me if im wrong
a) Show that the equation x³ + 6x-5= 0 has a solution between x = 0 and x = 1
+
5
b) Show that the equation x³ + 6x-5 = 0 can be arranged to give x =
by filling in the boxes. x + 6x-5=0
X² +6
x³ + 6x =
(x² + 6) =
5
X² +6
c) Starting with x, = 0, use the iteration formula X., =
X=
5
x2+6
to find an estimate for the solution of x³ + 6x-5=0
Write down all the figures on your calculator display.
twice
Answers
There will be a solution between 0 and 1 of the given equation x³ + 6x-5= 0 because the intermediate value theorem predicts that f(0)<0 and f(1)>0.
What do we exactly mean by equations?A mathematical statement known as an equation is made up of two expressions joined together by the equal sign. A formula would be 3x - 5 = 16, for instance. When this equation is solved, we discover that the value of the variable x is 7. The point-slope form, standard form, and slope-intercept form are the three main types of linear equations.So, x³ + 6x-5= 0:
Let, f(x) = x³ + 6x-5= 0At x = 0, f(0) = -5At x = 1, f(1) = 2There will be a solution between 0 and 1 because the intermediate value theorem predicts that f(0)<0 and f(1)>0.
Therefore, there will be a solution between 0 and 1 of the given equation because the intermediate value theorem predicts that f(0)<0 and f(1)>0.
Know more about equations here:
https://brainly.com/question/2972832
#SPJ9
Two different students decide to compare their businesses. Scooter makes his own t-shirts,
while Karissa does computer repairs. For both models, x represents the number of sales made
each month and f(x) represents total money for each individual. The two functions below model
their respective businesses:
Scooter: f(x) = 200 + 15x
Karissa: f(x) = 80 + 35x
a. Describe what the slope and y intercept represent for both models based on the context.
Compare the two functions. What is one statement you could say about each?
b.
C.
In one month, Scooter sells 20 shirts. That same month, Karissa does 12 repairs. Who had
the better month?
Answers
a) Comparing the two functions, Scooter's business has a lower slope of 15 compared to Karissa's business with a slope of 35. b) Both Scooter and Karissa earned a total of $500 in that month. Therefore, they had an equal month in terms of total money earned.
How to Describe what the slope and y intercept represent for both models based on the contexta) In the context of Scooter's business, the slope of the function f(x) = 200 + 15x represents the rate at which the total money earned increases with each additional sale. Each unit increase in x (number of sales) results in an increase of $15 in total money earned. The y-intercept of 200 represents the initial amount of money Scooter already had before making any sales.
In the context of Karissa's business, the slope of the function f(x) = 80 + 35x represents the rate at which the total money earned increases with each additional repair job. Each unit increase in x (number of repairs) results in an increase of $35 in total money earned. The y-intercept of 80 represents the initial amount of money Karissa already had before doing any repair jobs.
Comparing the two functions, Scooter's business has a lower slope of 15 compared to Karissa's business with a slope of 35. This means that Karissa's business earns more money per repair job compared to Scooter's business per t-shirt sale.
b) To determine who had the better month, we need to calculate the total money earned by each individual based on the given sales/repairs.
For Scooter, with x = 20 (number of shirts sold):
f(x) = 200 + 15x
f(20) = 200 + 15 * 20
f(20) = 200 + 300
f(20) = 500
For Karissa, with x = 12 (number of repairs):
f(x) = 80 + 35x
f(12) = 80 + 35 * 12
f(12) = 80 + 420
f(12) = 500
Both Scooter and Karissa earned a total of $500 in that month. Therefore, they had an equal month in terms of total money earned.
learn more about functions at https://brainly.com/question/11624077
#SPJ1
Hector wants to laminate the tabletop in his study room. The tabletop is the shape of an isosceles trapezoid shown here. If laminating costs $4 per square foot, what is the total cost to laminate the tabletop?
A trapezoid with a height of 4 feet and bases of 6 feet and 10 feet is shown.
$136
$128
$112
$32
Answers
The total cost to laminate the table top is $128.
What is the total cost to laminate the table top?A trapezoid is a convex quadrilateral. A trapezoid has at least on pair of parallel sides.
The first step is to determine the area of the table top.
Area of a trapezoid = 0.5 x (sum of the lengths of the parallel sides) x height
0.5 x (6 + 10) x 4 = 32 square foot
Now, multiply the area by the cost per square foot
32 x 4 = $128
To learn more about trapezoids, please check: https://brainly.com/question/25748893
#SPJ1
Four friends bought tickets to the school play. If it cost then a total of $28, Which equation could be used to find how much each friends paid?
Answers
Answer:
4x = $28
Step-by-step explanation:
Find the perimeter.
15 in.
12 in.
8 in.
9 in.
14 in.
Answers
Answer:
58 inches
Step-by-step explanation:
In order to find the perimeter of a shape, you must add up the total length of all the sides. 15 inches + 12 inches + 8 inches + 9 inches + 14 inches = 58 inches.
Why are inequalities like the last two problems graphed on a number line while the ones in the
Set portion of this assignment are graphed on a coordinate plane? What difference is there
between the inequalities in the last two problems and the ones found in problems 13-16?
Answers
It depends on the number of variables, if the inequality has one variable, then it is graphed on a number line.
Why some inequalities are graphed on a number line?The type of diagram that we need to use depends on the number of variables that we have.
A single variable ----> number linetwo variahbles ----> a coordinate plane.3 variables ---> a volume.That is the main reason, for example:
x > 2
Is graphed on a number line.
y > 3x + 4
is graphed on a coordinate plane.
learn more about inequalities at:
https://brainly.com/question/24372553
#SPJ1
Evaluate the expression when a=−15 and b=−5.
Answers
Answer:
-3/5
Step-by-step explanation:
(b + 14)/a = ((-5) + 14)/(-15) = -9/15 =-3/5
MT is a diameter of OE. Calculate the measure of AT.
A. 24°
B. 48°
C. 96°
D. 180°
Need the answer, click the picture to see the thingy
Answers
Answer:
C. 96°
Step-by-step explanation:
m<AME = 48° is an inscribed angle
Arc AT = intercepts arc
Based on the inscribed angles theorem, we have:
m<AME = ½(arc AT)
48° = ½(arc AT)
Multiply both sides by 2
48° × 2 = ½(arc AT) × 2
96° = arc AT
Arc AT = 96°
how do you round answer to two decimal place
Answers
Answer:
please give brainlist
Rounding to a certain number of decimal places
If we want to round 4.732 to 2 decimal places, it will either round to 4.73 or 4.74. 4.732 rounded to 2 decimal places would be 4.73 (because it is the nearest number to 2 decimal places).
hope this helped
Write a linear model for the amount of boxes, b, as a function of the number of hours since they opened, h. Use your model to predict the number of boxes in stock at the end of an 8 hour shift.
Answers
Question:
A company produces boxes of DVDs at a rate of 52 boxes per hour they begin to produce boxes when they first opened for the day and after 3 hours have 400 boxes in stock.
- How many boxes were in stock when they opened?
- Write a linear model for the amount of boxes, b, as a function of the number of hours since they opened, h.
- Use your model to predict the number of boxes in stock at the end of an 8 hour shift.
Answer:
1. \(Initial = 244\)
2. \(b = 244 + 52h\)
3. 660 boxes
Step-by-step explanation:
Given
\(Rate = 52\ per\ hour\)
\(Total\ boxes\ in\ 3\ hours = 400\)
Solving (a): Initial Number of boxes
First, we calculate the number of boxes made in 3 hours
\(Boxes = Rate * Hours\)
\(Boxes = 52 * 3\)
\(Boxes = 156\)
If they had 400 boxes at the 3rd hour.
Then, the number of boxes when they opened is:
\(Initial = 400 - 156\)
\(Initial = 244\)
Solving (b): Linear function
\(b = boxes\)
\(h = hours\)
Since, we have the rate and the initial number of boxes.
The linear function is:
\(Boxes = Initial + Rate * Hours\)
i.e.
\(b = 244 + 52 * h\)
\(b = 244 + 52h\)
Solving (c): Boxes at the end of the 8th hour
We have:
\(b = 244 + 52h\)
In this case:
\(h = 8\)
Substitute 8 for h
\(b = 244 + 52 * 8\)
\(b = 244 + 416\)
\(b = 660\)
Hence, there are 660 boxes at the end of the 8th hour
A bowl of Halloween candy contains 7 chocolate candies and 3 lemon candies. Tanya will choose one piece of candy at random.
Answers
ANSWER FOR EXTRA POINTS ⭐️⭐️⭐️
Answers
the answer is b if i remeber
Lauren owns 28 acres of land which she rents to a rancher for $3603 per acre per year. Her property taxes are $942 per acre per year. How much profit does she make on the land each year?
a) $99,942
b) $127,260
c) $101,826
d) $74,508
Answers
Answer:
B)$127,260
Step-by-step explanation:
28 x 3603= 100884
942 x 28=26376
100884 + 26376= B) $127260
How many metric tons are in 230.2 g
Answers
The conversion of 230.2 g to metric ton is given by 0.0002302 metric tons.
How to convert grams to metric tons?Grams (g) and metric ton (MT) are the SI units of mass. Scientist measure various things with different units. The following are measures and their units;
Temperature: Fahrenheit, Celsius, KelvinLength: Meters, centimeters, millimeters etcWeight: Kilograms, milligrams, gramsTime: seconds, minutes, hours.Convert metric ton to grams:
1 metric ton = 1,000,000 grams
230.2 g = 230.2 ÷ 1,000,000
= 0.0002302 metric tons
Therefore, it can be said that 230.2 g is equivalent to 0.0002302 metric tons
Read more on metric ton to grams:
https://brainly.com/question/5062965
#SPJ1