what is $2^{-3}\cdot 3^{-2}$.
Answers
Answer:
\(\frac{1}{72}\)
Step-by-step explanation:
\(2^{-3}\cdot 3^{-2}=\frac{1}{2^3}\cdot\frac{1}{3^2}=\frac{1}{8}\cdot\frac{1}{9}=\frac{1}{72}\)
Related Questions
Compute the value of the discriminant and give the number of real solutions of the quadratic equation.-2x² + 6x - 3=0Discriminant:12Number of real solutions:
Answers
The formula for the value of discriminant in a quadratic equation in the form ax^2 + bx + c = 0 is :
\(d=b^2-4ac\)Where d is the discriminant and
a, b, c are the coefficients in the quadratic equation.
From the given problem,
\(ax^2+bx+c=0\Rightarrow-2x^2+6x-3=0^{}\)a = -2, b = 6 and c = -3
Using the formula above,
\(\begin{gathered} d=b^2-4ac \\ d=6^2-4(-2)(-3) \\ d=36-24 \\ d=12 \end{gathered}\)Note that if the discriminant is greater than 0, the number of real solution is 2.
The answer is
discriminant = 12
Number of real solutions = 2
Answer:
\(2\)
\(x\)
in integers 1 is the identity for ____.
Answers
Answer:
In integers 1 is the identity for multiplication
Step-by-step explanation:
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Cody buys a baseball bat for $164.50 and a baseball glove for $37.25. He estimates the total cost of the bat and glove by rounding each cost to the nearest $10. Drag numbers to the boxes to show how Cody rounds the costs.
Answers
164.50+37.50= 201.75
gtu
the volume of a pyramid is given by the formula V=1/, where B is the area of the base and h is the height?
Answers
Answer:
Step-by-step explanation:
The volume of this pyramid in cubic inches is 16.
Given that,
The base and height is 8 and 6.
Based on the above information, the calculation is as follows:
The volume is
= 16
The ESS Ravens bought pizza for $900 to sell at the football game. They kept 10 pizzas to feed the players after the game and sold the rest for $1040. There were 8 slices in each pizza. Their profit was 50 cents a slice.
a) How many pizzas were in the original order?
Answers
Answer: 45
Step-by-step explanation:
The total profit in all was \(1040-900=\$ 140\).
The total profit per pizza was \((0.50)(8)=\$4\).
This means they sold \(\frac{140}{4}=35\) pizzas.
Adding this to the 10 pizzas held back, there were \(35+10=45\) pizzas in the original order.
please help answer ASAP will mark brainlyest
Answers
ANSWER 92°
REMEMBER! angles in a triangle add up to 180°
this means that:
(x) + (3x + 13) + (x - 8) = 180
5x + 5 = 180
5x = 175
therefore x = 35
now that we know x, we can apply this to work out the angle mentioned, the angle a:
A = 3(35) - 13
= 92°
how much is the measure of supplementary and complementary angles???
Answers
Graph your salary and
Answers
A graph of the exponential function \(f(n)=37000(1.06)^n\) is shown in the image attached below.
How to write and graph an exponential function?In Mathematics and Geometry, an exponential function can be modeled by using this mathematical equation:
\(f(x)=a(b)^x\)
Where:
a represents the initial value or y-intercept.x represents x-variable.b represents the rate of change or common ratio.Based on the information provided above, your salary can be modeled or represented by the following exponential function;
\(f(n)=37000(1.06)^n\)
Lastly, we would use an online graphing calculator to plot the given exponential function as shown in the graph attached below.
In conclusion, the rate of change of this exponential function is equal to 1.06.
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What number is one-fourth of three hundred and sixty?
A.180
B.45
C.60
D.90
E.360
Answers
Hey there!
To find the number that's one-fourth of 360, we should just divide 360 by 4 and get 90.
There's also another way - multiplying fractions.
\(\bold{\displaystyle\frac{1}{4} *\frac{360}{1}}\)
In order to multiply fractions, we just multiply the numerator of one fraction times the numerator of the other one; same with the denominator.
Look what happens when I multiply:
\(\bold{\displaystyle\frac{360}{4}}\)
We can use mental maths to solve it.
Hence, the answer's 90.
Hope everything is clear.
Let me know if you have any questions!
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If the 45 animals on the farm have a total of 150 legs, how many cows does farmer Ken have?
Answers
Answer:
195
Step-by-step explanation:
NEED HELP ON ALL OF THEM
Answers
A reflection transformation on a coordinate plane changes the figure over a line called the line of reflection. This line acts as a reflect and the picture created by the change could be a reflect picture of the first figure.
What is the Transformations about?b. In case a figure is reflected over the x-axis, the x-coordinates of all the focuses within the figure will stay the same, but the y-coordinates will be increased by -1. So, in the event that a point on the initial figure has arranges (x,y), its picture after reflecting over the x-axis will have arranges (x,-y).
c. In case a figure is reflected over the y-axis, the y-coordinates of all the points within the figure will remain the same, but the x-coordinates will be copy by -1. So, in case a point on the first figure has push (x,y), its image after reflecting over the y-axis will have arranges (-x,y).
Therefore, d. To reflect a triangle over the y-axis, we need to know the the mirror image of each point with regard to the y-axis. One way to do usually to increase the x-coordinate of each point by -1 and also keeping the y-coordinate the same.
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See text below
2. Reflections:
Transformations Review
a. How would you describe what this transformation looks like when performed on a coordinate plane?
b. If your figure was reflected across the x-axis, how would that affect the figure's coordinates?
c. If your figure was reflected across the y-axis, how would that affect the figure's coordinates?
d. On the coordinate plane: First, plot a triangle. Then, reflect your triangle over the y-axis and draw the result:
Jada thinks the perimeter of this rectangle can be represented with the expression a+a+b+b Andre thinks it can be represented with 2a+2b Do you agree with either of them? Explain your reasoning
Answers
Answer:
yes agreed
Step-by-step explanation:
a+a=2a
b+b=2b
=2a+2b
whats the rate if 13 inches of snow in 7 hours
Answers
Answer:
1.86 (rounded to nearest hundredth) inches of snow in 1 hour
Step-by-step explanation:
Divide 13 inches of snow by 7 hours
The answer is 1.8571428571428571428571428571429
Round to the nearest hundredth
1.86
Hope this helped :)
\(\textsf{Hey there!}\)
\(\textsf{What's the rate of 13 inches of snow in 7 hours?}\)
\(\mathsf{\dfrac{13\leftarrow \bf{inches}}{7\leftarrow{hours}}} \\\\\mathsf{\dfrac{13\div7\leftarrow inches}{7\div7\leftarrow hours}}\\\\\mathsf{7\div7=1}\\\\\mathsf{\dfrac{13\div7\leftarrow\underline{ inches}}{1\leftarrow \underline{hour(s)}}}\\\\\mathsf{13\div7=1.857143}\\\\\mathsf{\dfrac{1.857143\leftarrow \frak{inches}}{1\leftarrow\frak{hour(s)}}}}}}\\\\\mathsf{1.85714\div1=\bf{ANSWER}}\\\\\textsf{Solve above and you have your answer.}\)
\(\lhuge\text{Note: We're rounding our answer because the actual answer will take some time}\)
\(\boxed{\boxed{\textsf{Thus, your answer is: \boxed{\boxed{\large\textsf{\bf1.86 inches per hour}}}}}}\checkmark\)
\(\textsf{Good luck on your assignment and enjoy your day!}\\\\\frak{LoveYourselfFirst}\)
Who knows this answer
Answers
a fair die is rolled 100 times.the results are shown below
number:. 1. 2. 3. 4. 5. 6
no of times:. 12. 16. 25. 18. 15. 14
what is the probability of getting
1?
2?
3?
4?
5?
6?
Answers
1.) Probability of getting 1: 0.12 or 12%.
2.) Probability of getting 2: 0.16 or 16%.
3.) Probability of getting 3: 0.25 or 25%.
4.) Probability of getting 4: 0.18 or 18%.
5.) Probability of getting 5: 0.15 or 15%.
6.) Probability of getting 6: 0.14 or 14%.
To calculate the probability of getting a specific number on a fair die, we divide the number of times that number appears by the total number of rolls. In this case, the die was rolled 100 times, and the results are given as follows:
Number: 1 2 3 4 5 6
Times: 12 16 25 18 15 14
To find the probability of getting each number, we divide the corresponding number of times by the total number of rolls (100):
Probability of getting 1 = 12 / 100 = 0.12.
Probability of getting 2 = 16 / 100 = 0.16.
Probability of getting 3 = 25 / 100 = 0.25.
Probability of getting 4 = 18 / 100 = 0.18.
Probability of getting 5 = 15 / 100 = 0.15.
Probability of getting 6 = 14 / 100 = 0.14.
Therefore, the probabilities of getting each number on a fair die, based on the given results of 100 rolls, are approximately:
1: 0.12 or 12%,
2: 0.16 or 16%,
3: 0.25 or 25%,
4: 0.18 or 18%,
5: 0.15 or 15%,
6: 0.14 or 14%.
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What is it called when the rate of Change is the same on the entire graph
Answers
Answer:
Constant rate of change. The rate of change is the same on the entire graph.
Step-by-step explanation:
what's the answer for this equation
x^3 - 3x^2 + 3x - 1 > 3/2x(x - 1)
Answers
hello
the answer to the question is:
x³ - 3x² + 3x - 1 > (3/2)x(x - 1)² ---->
(x - 1)³ > (3/2)x(x - 1)² ----> x - 1 > (3/2)x ---->
(1/2)x < - 1 ----> x < 2
Use synthetic division and the Remainder Theorem to find P(a). P(x) = 2x3 + 4x2 − 10x − 9; a = 3
2
59
51
3
Answers
Answer:
b
Step-by-step explanation:
Use synthetic division and the Remainder Theorem to find P(a). P(x) = 2x3 + 4x2 − 10x − 9; a = 3
2
59
51
3
Find the value of x
Answers
Answer:
x = 20
Step-by-step explanation:
We know that the vertically opposite angles are equal.
Accordingly,
41 = 2x + 1
Subtract 1 from both sides.
41 - 1 = 2x
40 = 2x
Divide both sides by 2.
x = 20
100 pts!!
Thanh rents a car. He has a fixed rate of $49.00 weekly, pays $14.00 per week for the optional insurance, and he spends $12.00 weekly on gas. What will Thanh's cost be per month (four weeks)?
Answers
Thanh's cost per month (four weeks) will be $300.00.The given fixed rate for Thanh is $49.00 per week. Thanh also pays $14.00 per week for the optional insurance and $12.00 weekly on gas.
To find Thanh's cost per month (four weeks), we need to multiply his weekly cost by 4.We can use the formula below to calculate Thanh's monthly cost.
Total weekly cost = Fixed rate + Insurance cost + Gas cost
Total weekly cost = $49.00 + $14.00 + $12.00
Total weekly cost = $75.00
The cost for Thanh per month (four weeks) = Total weekly cost × 4
Cost for Thanh per month (four weeks) = $75.00 × 4
Cost for Thanh per month (four weeks) = $300.00
Therefore, Thanh's cost per month (four weeks) will be $300.00.
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How many years will it take an initial investment of $25,000 to triple to $75,000 at an annual rate of 7% compounded continuously
Answers
Answer:
\(t = 15.7\)
Step-by-step explanation:
Given
\(Principal = 25000\) --- P
\(Amount = 75000\) --- A
\(Rate = 7\%\) --- R
Required
Determine the time (t)
Using continuous growth formula:
We have
\(A = Pe^{rt}\)
Convert rate to decimal
\(Rate = 7\%\)
\(r = 0.07\)
Substitute values for A, P and r
\(75000 = 25000 * e^{0.07t}\)
Divide both sides by 25000
\(3 = e^{0.07t}\)
Rewrite the exponential function as logarithmic, we have:
\(ln3 = 0.07t\)
Reorder
\(0.07t = ln3\)
Divide both sides by 0.07
\(t = \frac{ln3}{0.07}\)
\(t = \frac{1.09861228867}{0.07}\)
\(t = 15.69\)
\(t = 15.7\)
Hence, the time is approximately 15.7 years
Write the equation of the line that passes through the points (-9, -8) and (–6,6).
Put your answer in fully reduced point-slope form, unless it is a vertical or horizontal
line.
Answers
Answer:
Slope - intercept form \(y = \frac{14}{3} x + 34\)
Step-by-step explanation:
Explanation:-
Given points are ( -9 ,-8 ) and (-6,6)
slope of given two points
\(m = \frac{y_{2} -y_{1} }{x_{2}-x_{1} } = \frac{6-(-8)}{-6-(-9)} = \frac{14}{3}\)
The equation of the straight line passing through the points and having slope
\(y - y_{1} = m ( x - x_{1} )\)
\(y - (-8) = \frac{14}{3} ( x - (-9) )\)
3 y + 2 4 = 14 x + 126
3 y = 14 x + 126 - 24
3 y = 14 x + 102
\(y = \frac{14}{3} + \frac{102}{3}\)
\(y = \frac{14}{3} x + 34\)
Slope - intercept form y= mx +C
Slope - intercept form \(y = \frac{14}{3} x + 34\)
I need help!!
-Geometry
Answers
Sandra has some nickels, dimes, and quarters which total $2.50. She has the same
number of nickels as quarters; however, she has twice the number of dimes as nickels.
How many of each type of coin does she have?
Answers
Answer:
5 nickels
10 dimes
5 quarters
Step-by-step explanation:
n = number of nickels
d = number of dimes
q = number of quarters
q = n
d = 2n
0.05n + 0.10d + 0.25q = 2.50
substitute
0.05n + 0.10(2n) + 0.25(n) = 2.50
0.05n + 0.20d + 0.25n = 2.50
0.50n = 2.50
n = 5
d = 10
q = 5
Energy is generated from solar and wind power. Solar power must be at most 6units/day or the panels will burn out. Wind must be strong enough to power 1 unit/ day or else the turbines won’t turn. The wind power must be less than twice the solar power less one, or the batteries wont charge properly. Find the optimal production of wind and solar that will maximize overall power output
Answers
Efficiency.Compared to solar panels' efficiency range of 18% to 22%, wind turbines typically capture 60% of the energy that flows through them.
What is more efficient wind or solar energy?Efficiency.Compared to solar panels' efficiency range of 18% to 22%, wind turbines typically capture 60% of the energy that flows through them.This proves that a single home wind turbine can generate more electricity than a number of solar panels.By the movement of air in relation to the Earth's surface, wind energy, a type of solar energy, is created.When the Earth's surface is heated unevenly by the Sun, this type of energy is created. The Earth's rotation and surface topography then alter this energy.Photovoltaic (PV) panels or solar radiation-concentrating mirrors are two ways that solar technologies turn sunlight into electrical energy.Electricity can be produced from this energy, which can also be used to store energy thermally or in batteries.To learn more about solar energy refer
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A pool of possible jurors consists of 15 men and 14 women. How many different juries consisting of 5 men and 7 women are possible?
Answers
Answer:
6
Step-by-step explanation:
Um so what I did was 15/5=3 and 14/7+2
So for the first group of men, 2 groups. TIMES 3.
Equals 6 options
there are 60 inches in 5 feet. How many inches are in8 feet?
Answers
Ok so
96 inches is the answer u calculate
Answer:
96 inches
Step-by-step explanation:
Brainliest me pls
Have a nice day! <3
-3 5/7 X -2 1/2
I really don't understand
Answers
Answer:
\( - 3 \frac{5}{7} x - 2\ \frac{1}{2} \)
\( \frac{ - 26}{7} - \frac{5}{2} \)
LCM of 7 and 2 is 14
Multiplying (-26/7) with 1/2 (to make the denominator 14) and -5/2 with 1/7
\( \frac{ - 26}{7} \times \frac{1}{2} - \frac{5}{2} \times \frac{1}{7} \)
\( \frac{ - 26}{14} - \frac{5}{14} \)
\( \frac{ - 26 - 5}{14} \)
\( - \frac{31}{14} \)
-3 5/7 x -2 1/2 = 26/7 x 5/2 = 130/14 = 65/7 = 9 2/7
Sarah wants to print copies of her artwork. At the local print shop, it costs her $1 to make 5 copies and $5 to make 25 copies. Which equation represents this direct variation?
Please help!!
Answers
Answer:
i wanna say B
Step-by-step explanation:
Answer: y = 1/5x
Step-by-step explanation:
Those numbers both equal 1/5
You have moved into a new house and your friends have come over to help paint the walls. Everyone paints at the same rate of 1.5 hours/wall.
QUESTION: If there are six people painting on Saturday, how many walls could you get painted in 3 hours?
walls
Answers
Answer:
12 walls
Step-by-step explanation:
Let's take everyone paints a different wall and there are no overlaps.
Given information from the question:
1.5 hours = 1 wall
1 hour =
\( \frac{1}{1.5} \\ = \frac{2}{3} walls\)
per person.
From the information above, we can deduce:
6 people =
\( \frac{2}{3} \times 6 \\ = \frac{12}{3} \\ = 4 \: walls\)
Since we know 6 people can paint 4 walls in an hour,
3 hours =
\(3 \times 4 \\ = 12 \: walls\)