express the form in lowest terms 1/3x^3
The expression in the lowest term will be 3^-1x³.
What is a expression?It should be noted that an expression simply has to do with the relationship that can be illustrated having a mathematical operator.
It should be noted that based on the information given, this will be illustrated as:
= 1/3(x³)
This can be illustrated as:
1/3 = 3^-1 multiplied by x³.
= 3^-1x³
This shows the concept of exponents.
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12. The smaller angle between the hands of a clock at 2:00 p.m. is ***
The angle between the hands of a clock at 2:00 p.m is 60 degree.
A degree (in full, a degree of bend, bend degree, or arcdegree), as a rule, signified by ° (the degree image), could be an estimation of a plane angle in which one full turn is 360 degrees .To begin with, note that a clock may be a circle made of 360 degrees, in which each number speaks to a point and the partition between them is 360/12 = 30.
So, at 2:00, the minute hand is on the 12 and the hour hand is on the 2. The proper angle made by it will be 2 * 30 = 60 degrees.
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Find the reference angle in radians: 7pi over 12
Answer:
5π/12
Step-by-step explanation:
5 pie / 12
(hope this helps can i plz have brainlist :D hehe)
I also need an explanation please
(A)
Step-by-step explanation:
The meal cost $45.25 so 20% of this for tip is
($45.25)(0.20) = $9.05. Since the tip is split between 4 friends, divide this tip by 4 and each one paid ($9.05/4) = $2.26.
How much would you have to deposit today to accumulate the SAME AMOUNT OF MONEY that $75 monthly payments at a rate of 3.5% compounding monthly for 10 years in an annuity would earn?
Answer:
7606.62
Step-by-step explanation:
Start by finding how much you will have through the annuity. The question isn't that clear, so i will just assume it's an annuity due.
\(p(\frac{(1+i)^n-1}{i})*(1+i)\\i=.035/12= .0029166667\\n=10*12=120\\p=75 (given)\\75\frac{(1+.0029166667)^{120}-1}{.0029166667}*(1+.0029166667)= 10788.814149\\\)
Now just equate this to a time 0 payment at the same rate
\(10788.814149=(1+.0029166667)^{120}*x\\x= 7606.6228603=7606.62\)
As a quick note, if you were supposed to assume that your annuity was an annuity immediate the answer would be 7584.50.
What is the simplified form of this expression? (98 – 17 + 15 ÷ 3) × 2 ÷ 4
Answer:
43
Step-by-step explanation:
( 98 − 17 + 15 / 3 ) ( 2 ) / 4
= ( 81 + 15 / 3 ) ( 2 ) / 4
= ( 81 + 5 ) ( 2 ) / 4
= ( 86 ) ( 2 ) / 4
= 172 / 4
= 43
Hope this helps! :)
Complete the inequality to represent the following: 13 times a number x
is less than or equal to 200.
The value for the Inequality 13x ≤ 200 is x ≤ 15.384.
What is Inequality?Mathematical expressions with inequalities are those in which the two sides are not equal. Contrary to equations, we compare two values in inequality. Less than (or less than or equal to), greater than (or greater than or equal to), or not equal to signs are used in place of the equal sign.
Given:
13 times a number x is less than or equal to 200.
Now, Writing the Inequality Mathematically
13x ≤ 200
x ≤ 200 / 13
x ≤ 15.384
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A car averages 60 miles per hour on a road trip. Use a graph to show the relationship between the time and distance traveled. What method did you use? help me please"/"
Answer:
Make sure you subtract any rests or stops you made from the total trip duration. If the total distance travelled was 500 miles and the time it took you was 5 hours, then your average speed was 500 / 5 = 100 miles per hour (mph).
Step-by-step explanation:
Solve for y. 2(y-2) -6y=-28
Answer:
y = -8
Step-by-step explanation:
2(y-2)- 6y-28 = 0
2y - 4 -6y - 28 = 0
-4y = 32
y = -8
Please help! Which of the following is NOT a true statement about the dilation shown at the right?
Answer:
the statement 'the dilation changed the orientation of the figure' is NOT true
Step-by-step explanation:
the only transformations that can change a figure's orientation is a reflection, not a dilation like is shown.
the first statement is true because it is an enlargement of the shape
the third is true (look at point I and I', point I is (2,2) and becomes (4,4) which follows 2x 2y)
and the fourth is true because the ratios are 1:1:1:1 for both shapes
4. Three college friends rent an apartment. They are required to pay two months’ rent plus a $600 security deposit when they sign the lease. The total amount they pay the landlord is $3800. What is the apartment’s rent for one month?
Answer:
3500$
Step-by-step explanation:
3800÷2-600=1300$
i will give brainliest and 5 stars if you help ASAP
help me eeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeee
If the radius of a clock face is 4.5 inches, what is the diameter? *
Answer:
9
Step-by-step explanation:
write bicontional statement
The biconditional statement is: A rectangle is a parallelogram with four right angles if and only if a parallelogram has four right angles.
What is the biconditional statement.The term "if and only if" or biconditional statement refers to a compound statement composed of two conditional statements connected by a logical operator.
This definition is commonly utilized to describe the characteristics of a rectangle when it comes to its correlation with a parallelogram. The opening section of the biconditional statement is comprised of a conditional statement indicating that a rectangle is defined as a parallelogram featuring four right angles.
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Write this definition as a biconditional statement.
A rectangle is a parallelogram with four right angles.
3 different ratios that are equivalent to 8.2.
Answer:
Three types of ratios that are equivalent to 8.2
Step-by-step explanation:
S. No. Ratios. Formulas
1. Current Current Assets/
ratio Current Liabilities
2. Quick Liquid Assets/ Current
ratio Liabilities
3. Absolute Absolute Liquid Assets/
liquid Current Liabilities
ratio
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The U.S. Department of Energy's Fuel Economy Guide provides fuel efficiency data for cars and trucks (U.S. Department of Energy website, February 22, 2008). A portion of the data for 311 compact, midsize, and large cars follows. The column labeled Class identifies the size of the car; Compact, Midsize, or Large. The column labeled Displacement shows the engine's displacement in liters. The column labeled Fuel Type shows whether the car uses premium (P) or regular (R) fuel, and the column labeled HwyMPG shows the fuel efficiency rating for highway driving in terms of miles per gallon.
a) Develop an estimated regression equation that can be used to predict the fuel efficiency for highway driving, given the engine's displacement.
Let x represent the engine's displacement.
If required, round your answers to four decimal places. For subtractive or negative numbers use a minus sign even if there is a + sign before the blank. (Example: -300)
Y = ___ + ___ x
b) How much of the variation in the sample values of HwyMPG does this estimated regression equation explain?: ____%
c) Consider the addition of the dummy variables ClassMidsize and ClassLarge to the simple linear regression model in part (a). The value of ClassMidsize is 1 if the car is a midsize car and 0 otherwise; the value of ClassLarge is 1 if the car is a large car and 0 otherwise. Thus, for a compact car, the value of ClassMidsize and the value of ClassLarge are both 0. Develop the estimated regression equation that can be used to predict the fuel efficiency for highway driving, given the engine's displacement and the dummy variables ClassMidsize and ClassLarge. Let x1 represent engine's displacement. Let x2 represent variable ClassMidsize. Let x3 represent variable ClassLarge.If required, round your answers to four decimal places. For subtractive or negative numbers use a minus sign even if there is a + sign before the blank. (Example: -300)
Y = ___ + ___ x1 + ___ x2 + ___ x3
d) How much of the variation in the sample values of HwyMPG does this estimated regression equation explain? : ___ %
e) Consider the addition of the dummy variable FuelPremium, where the value of FuelPremium is 1 if the car uses premium fuel and 0 if the car uses regular fuel. Develop the estimated regression equation that can be used to predict the fuel efficiency for highway driving, given the engine's displacement, the dummy variables ClassMidsize and ClassLarge, and the dummy variable FuelPremium. Let x1 represents engine's displacement. Let x2 represents variable ClassMidsize. Let x3 represents variable ClassLarge. Let x4 represents variable FuelPremium. If required, round your answers to four decimal places. For subtractive or negative numbers use a minus sign even if there is a + sign before the blank. (Example: -300)
Y = ___ + ___ x1 + ___ x2 + ___ x3 + ___x4
f) How much of the variation in the sample values of HwyMPG does this estimated regression equation explain? : ___ %
a) Y=38.6594-5.4198x; b) 39.1% explained variation; c) Y=44.9379-5.9522x1-1.2758x2-2.0102x3; d) 49.9% explained variation; e) Y=45.2478-6.1081x1-0.9945x2-2.5692x3+0.9963x4; f) 53.1% .
a) The estimated regression equation for predicting fuel efficiency for highway driving is Y = 38.6594 - 5.4198x, where x represents the engine's displacement in liters.
b) The estimated regression equation explains 39.1% of the variation in the sample values of HwyMPG.
c) The estimated regression equation that includes the dummy variables ClassMidsize and ClassLarge is Y = 44.9379 - 5.9522x1 - 1.2758x2 - 2.0102x3, where x1 represents engine's displacement, x2 represents variable ClassMidsize, and x3 represents variable ClassLarge.
d) The estimated regression equation with the added dummy variables explains 49.9% of the variation in the sample values of HwyMPG.
e) The estimated regression equation that includes the dummy variable FuelPremium is Y = 45.2478 - 6.1081x1 - 0.9945x2 - 2.5692x3 + 0.9963x4, where x1 represents engine's displacement, x2 represents variable ClassMidsize, x3 represents variable ClassLarge, and x4 represents variable FuelPremium.
f) The estimated regression equation with all three dummy variables explains 53.1% of the variation in the sample values of HwyMPG.
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Select the geometric figure that fits the following description.
the collection of all points that are equidistant from a given point
Choice D is correct
Every point on circle is equidistant from the point at its centre and that fixed distance = radius of that circle.
In a medical study, adult patients were randomly chosen and classified by obesity and hypertension. The results are summarized in the contingency table below.
Hypertension by Obesity Level
Obesity Level
Hypertension Low Average High
Yes 34 30 51
No 119 99 82
a) What is the probability of an adult having hypertension?
b) What is the probability of an adult having hypertension and being classified as a low level of obesity?
c) What is the probability of an adult having hypertension given he/she is classified as a high level of obesity?
d) What is the probability of an adult being classified as a high or average level of obesity?
e) If an adult has hypertension, what is the probability that he/she also has a high level of obesity?
f) Are an adult's hypertension status and obesity categorization independent
The probability of an adult having hypertension is 0.344 and an adult having hypertension and being classified as a low level of obesity is 0.102, having hypertension given he/she is classified as a high level of obesity is 0.540. If an adult has hypertension, the probability that he/she also has a high level of obesity is 0.444.
What is Probability?Probability is a branch of mathematics that deals with the likelihood of an event occurring. It is the measure of the likelihood of an event occurring divided by the number of possible outcomes. Probability is used to determine the chances of a particular outcome occurring and can range from 0 to 1.
a)The probability of an adult having hypertension is (34 + 30 + 51) / (34 + 30 + 51 + 119 + 99 + 82) = 115 / 334 = 0.344.
b) The probability of an adult having hypertension and being classified as a low level of obesity is 34 / (34 + 30 + 51 + 119 + 99 + 82) = 34 / 334 = 0.102.
c) The probability of an adult having hypertension given he/she is classified as a high level of obesity is 51 / (30 + 51 + 82) = 51 / 163 = 0.312.
d) The probability of an adult being classified as a high or average level of obesity is (30 + 51 + 99) / (34 + 30 + 51 + 119 + 99 + 82) = 180 / 334 = 0.540.
e) If an adult has hypertension, the probability that he/she also has a high level of obesity is 51 / (34 + 30 + 51) = 51 / 115 = 0.444.
f) No, an adult's hypertension status and obesity categorization are not independent. This is because the probability of an adult having hypertension given he/she is classified as a high level of obesity (0.312) is not the same as the probability of an adult having hypertension (0.344).
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help me please please please
The angle measures for this problem are given as follows:
a = 62º.b = 118º.c = 62º.d = 62º.How to obtain the angle measures?The sum of the measures of the internal angles of a triangle is of 180º.
The triangle in this problem is ABC, hence the measure of a is obtained as follows:
a + 68 + 50 = 180
a = 180 - (68 + 50)
a = 62º.
c and d are corresponding angles to angle a, as they are on the same position relative to parallel lines, hence their measures are given as follows:
c = 62º.d = 62º.Angle b is a corresponding interior angle with angle a, hence they are supplementary and it's measure is given as follows:
a + b = 180
62 + b = 180
b = 118º.
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can someone explain this math problem to me so I can show my son how to solve it please
Answer:
ہندوستان ضنداباد you mad
Which of the following functions is graphed below? HELP
The solution is: Piece-wise function
f(x)=x+6 , x≤1
f(x) = x^2 + 3 , x>1, the following functions is graphed below.
Option C is correct.
Explanation:
We are given a graph of piece-wise function which break at x=1
We need to choose correct option for graph.
Function is break at x=1.
We will get two function
For x≤1 and x>1
As we can see x≤1, graph is linear and x>1 graph is parabolic.
Equation of linear graph, x≤1
Take two point of graph (0,6) and (-6,0)
Equation of line:
y-y1/y2-y1 = x-x1/x2-x1
y = x+1
f(x)=x+6 , x≤1
Equation of parabolic graph, x>1
f(x) = x^2 + 3
Piece-wise function
f(x)=x+6 , x≤1
f(x) = x^2 + 3 , x>1
Please see the attached figure.
Hence, The option C is correct.
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If r = 8 units and h = 8 units, what is the volume of the cylinder shown above? Use 3.14 for.
PLEASE SHOW ME HOW YOU GOT THE ANSWER
The volume (V) of a cylinder is π (r^2) (h). Substituting in the known values, you get V = 3.14 times 64 times 8, which is 1607.68 cubic units.
In a painting of the Mona Lisa, the length of the painting is 4 1/2 inches. Milo scales the drawing up by 2 3/4?
what kind of idiotic question is that
does a idiot teacher exists?
Can I please get some help I’ve been stuck on this question for a while!
Using the radius of the Ferris wheel and the angle between the two positions, the time spent on the ride when they're 28 meters above the ground is 12 minutes
How many minutes of the ride are spent higher than 28 meters above the ground?The radius of the Ferris wheel is 30 / 2 = 15 meters.
The highest point on the Ferris wheel is 15 + 4 = 19 meters above the ground.
The time spent higher than 28 meters is the time spent between the 12 o'clock and 8 o'clock positions.
The angle between these two positions is 180 degrees.
The time spent at each position is 10 minutes / 360 degrees * 180 degrees = 6 minutes.
Therefore, the total time spent higher than 28 meters is 6 minutes * 2 = 12 minutes.
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. If h> 3 and h - 2g= 0, which of
the following must be true?
A. g> 2.5
B. g> 1.5
C. g <0.5
D. g <1.5
E. g>2
By linear equality , g >1.5 is must be true.
What are equality and inequality along a line?
Equal (=) is the symbol used in linear equations. Example. Using the inequality symbols (>,, is greater than or equal to, and is less than or equal to), linear inequalities are expressed.
x - 5 > 3x - 10 is an illustration of a linear inequality. As the larger than symbol is employed in this inequality, the LHS is strictly greater than the RHS. After being solved, the inequality appears as 2x 5 x (5/2).
If h> 3 and h - 2g= 0
H=2g
2g>3
g >1.5
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It is expected that 30% of the criminals in our prisons are violent offenders, 65% are nonviolent, and 5% are actually innocent. A sample of 300 inmates showed that 90 were violent offenders, 200 were nonviolent, and 10 were innocent. At the .05 significance level, can we conclude that the observed frequencies are different than the expected frequencies?
Which angles are complementary to each other? Select all that apply.
Answer: Choice A only
Angles 1 and 2 add to 90 degrees, ie they join to form a right angle.
Put another way, angles 1,2, and 3 form a straight angle (180 degrees). Angle 3 is 90 degrees, so angles 1 and 2 make up the other 90.
Answer:
∠1 and ∠2
Step-by-step explanation:
Angle 1 and Angle 2 are the only complementary angles because they form a right angle, which is worth 90°.
Have a lovely rest of your day/night, and good luck with your assignments! ♡
A thermometer reading 10°C is brought into a room with a constant temperature of 36°C. if the thermometer reads 14°C after 2 minutes, what will it read after beint left in the room for 4 minutes? and for 9 minutes?
Answer:
4 minutes: 17.4 °C9 minutes: 23.7 °CStep-by-step explanation:
You want to know a thermometer's reading 4 minutes and 9 minutes after begin brought into a room with a temperature of 36 °C if its initial reading is 10 °C, and it rises to 14 °C after 2 minutes.
Newton's law of coolingNewton's law of cooling tells you the temperature difference of 36 -10 = 26 °C will decline exponentially. If it declines to 36 -14 = 22 °C after 2 minutes, then the temperature reading can be modeled by ...
T = 36 -26·(22/26)^(t/2)
At times of t=4 and t=9, the temperature readings will be ...
4 minutes: 36 -26(11/13)^(4/2) ≈ 17.4 °C9 minutes: 36 -26(11/13)^(9/2) ≈ 23.7 °C__
Additional comment
The time constant of this thermometer is about 12 minutes, so it will take about 67 minutes to read within 0.1 °C of the room temperature.
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Solve the inequality for w.
w+7<20
Simplify your answer as much as possible.
0
Answer:
w<13
Step-by-step explanation:
Works identically to a normal single-variable equation.
Subtract 7 on both sides in order to isolate w--->w+7-7<20-7
The answer (which cannot be simplified any further) is w<13.
Answer:
w < 1`3
Step-by-step explanation:
Isolate the variable w on one side of the inequality sign.
w+7<20
w<20 - 7
w<13.