Simplify (4x5y³)(-3x³y²).
O-12x85
Ox³y5
O-12x³y6
O-12x¹5,6
Answer:
-12x⁸y⁵
Step-by-step explanation:
Exponent law:
xᵃ * xᵇ = xᵃ ⁺ ᵇ
In exponent multiplication, if bases are same, add the exponents.
Multiply the co-efficient.Multiply the variable using the exponent law.(4x⁵y³) (-3x³y²) = 4*(-3) * x⁵⁺³ * y³⁺²
= -12x⁸y⁵
I need help anyone please ?!!! ((: thank you!!
Find the area of the triangle
Answer:
Hello! answer: 76
Step-by-step explanation:
Formula to find area is base × height ÷ by 2 12 + 7 = 19 19 × 2 = 152 152 ÷ 2 = 76 HOPE THAT HELPS!
Solve for the variable:
(11a+3)−18a+4 for a=–2
Answer:
21
Step-by-step explanation:
11(-2)=-22
-22+3=-19
-18(-2)=36
-19+36+4
17+4=21
Emily and Josh are both solving 3.65 ÷ 100. Emily says the answer is 365. Josh says the answer is 0.0365. Which student is correct?
A Emily, because when dividing by a power of 10, the decimal moves to the right.
B Josh, because when dividing by a power of 10, the decimal moves to the left
C Emily, because when multiplying by a power of 10, the decimal moves to the right.
D Josh, because when multiplying by a power of 10, the decimal moves to the left.
Answer:
The answer is [B Josh, because when dividing by a power of 10, the decimal moves to the left]
Answer: the answer is B
Step-by-step explanation:
The wheels on a bicycle have a diameter of 27 in. How far does the bicycle travel with each turn of the wheels?
The bicycle with each turn of the wheels, the bicycle will travel a distance of 84.78 inches.
The distance that the bicycle travels with each turn of the wheel is equal to the circumference of the wheel. The circumference of the wheel is equal to the diameter multiplied by pi (π), which is a mathematical constant approximately equal to 3.14.
So, the circumference of the wheel can be calculated by multiplying the diameter (27 inches) by pi (3.14):
Substituting d = 27 inches, we get:
Circumference = diameter x pi = 27 in x 3.14 = 84.78 in
Therefore, the bicycle travels 84.78 inches, or about 7.07 feet (since 1 foot is equal to 12 inches), with each turn of the wheels.
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2х2 – 3х – 5 = 0
How can I solve this in quadratic form
Answer:
x= -1/3
Step-by-step explanation:
I tried my best but this is the anwser I got for my same problem
hope this helps my guy!!!
42,591 to the nearest thousand
Answer:
43,000
Step-by-step explanation:
Remember, the tipping point is 50%.
42,591, if the hundreds to one's place is 500 or more, the number 591, it increases the thousands value by 1
Since 591 is greater than 591, the new number will increase from 42,591 to 43,000
-Chetan K
Answer:
43,000
Step-by-step explanation:
5 or more up the score for the 500, so you can round the thousand
The number 3. I 4063 written correct to 3 decimal places is
Answer:
3.141
Step-by-step explanation:
From the decimal point, count three no. s to the right. If the no. after the three no. s is more than five, add one to third no. if not more than five then third no. remains as it is
Find the volume of this cuboid.
6 cm
8 cm
10 cm
Answer: the volume is 480 cm
Step-by-step explanation:
You find the volume of a shape by multiplying the base x width x height. In this case the height is 6 the width is 8 and the length is 10. 6x8x10= 480.
Answer:
lb×bh×hl
6×8×8×10×10×6
48×80×60
230400
If ABCD is dilated by a factor of 3, the
coordinate of B' would be:
-5 -4
MA
А
B
3
26
1
-2 -10
-1
-2.
-3
C
2 3 4 5
D
B' = ([?], [])
Enter
If ABCD is dilated by a scale factor of 3, the coordinate of B' would be (-6, 6).
What is dilation?In Geometry, dilation simply refers to a type of transformation which typically changes the size of a geometric object, but not its shape.
This ultimately implies that, the size of the geometric shape would be increased (stretched or enlarged) or decreased (compressed or reduced) based on the scale factor applied.
Next, we would apply a dilation to the coordinates of the pre-image by using a scale factor of 3 centered at the origin as follows:
Ordered pair B (-2, 2) → Ordered pair B' (-2 × 3, 2 × 3) = Ordered pair B' (-6, 6).
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The equation that represents ⨀A is (x+1)2+(y−1)2=16. Determine whether point B(3,1) is on the circle.
Answer:
Step-by-step explanation:
center=(-1,1)
radius=√16=4
distance between (-1,1) and (3,1)=√[(3+1)²+(1-1)²]=√[16+0]=√16=4=radius
Hence point lies on the circle.
Find my number if 3/8 of it is 24.
I'm usually good at math and can solve this easily but today I'm having a brain fart....
Answer:
The number is 32
Step-by-step explanation:
Let the number be x
\( \frac{3}{4} \times x = 24 \\ \frac{3x}{4} = 24 \\ cross \: multiply \\ 3x = 24 \times 4 \\ 3x = 96 \\ x = \frac{96}{3} \\ x = 32\)
Answer:
64
Step-by-step explanation:
\(let \: the \: number = y \\ from \: the \: queston \: \frac{3}{8} \: of \: y = 24 \\ \frac{3}{8} \times y = 24 \\ \frac{3y}{8} = 24 \\ 3y = 8 \times 24 \\ 3y = 192 \\ divide \: bothsides \: by \: 3 \\ \frac{3y}{3} = \frac{192}{3} \\ y = 64 \\ therefore \: \: the \: number \: is \: 64\)
Which statements are true for the following expression? (9 + 3) · 4
Answer:
12 x 4 or 48
Step-by-step explanation:
SHARE 300 USING 2:3:5
If we divide 300 into parts using the ratio 2:3:5, we get:
2 parts = 2/10 of the total ratio = 2/10 x 300 = 60
3 parts = 3/10 of the total ratio = 3/10 x 300 = 90
5 parts = 5/10 of the total ratio = 5/10 x 300 = 150
Therefore, 300 divided in the ratio 2:3:5 would result in three parts of 60, 90, and 150.
I hope I helped!
~~~Harsha~~~
someone please help me ASAP
A scientist wants to find the radius, in meters, of this hemispherical dome. She finds that the surface area of the entire sphere containing the dome is 520 square meters. Which equation could she use to find the dome's radius?
I need help solving this
The cylinder has a volume of 150.796 in³. The cylinder has a surface area of 175.929 in².
What's volume of cylinder ?The quantity of three-dimensional space that an object or closed surface occupies is referred to as volume in mathematics. The cubic units of volume are m³, cm³, in³, and so on.
How does surface area work?The sum of all of an object's faces is its surface area in three dimensions. Wrapping, painting, and finally building things to achieve the best possible design are examples of real-world applications of the concept of surface areas.
Evaluating :Given that a volume of cylinder = h × r² × π
h = 12 in
r = 2 in
volume = ?
Volume of cylinder = h × r² ×π
= =12 × 3.14×(2)²
=37.68 × 4
=150.796 in³
B). Surface area of cylinder= 2πr² + 2πrh
=2× 3.14 × (2)²+2× 3.14× 2×12
=175.929in²
The formula V=r²(h) can be used to determine a cylinder's volume. Simply multiplying the area of the circular base shape by the height is all that is required to determine a cylinder's volume.
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To be a regular polygon all sides must be and all angles must be
Answer:
A regular polygon has equal length sides with equal angles between each side
Step-by-step explanation:
To be a regular polygon all sides must be and all angles must be
A regular polygon has equal length sides with equal angles between each side
Write the word sentence as an inequality.
A number x is greater than 0.
Answer:
x>0
I am very certain.
brainliest?
use cylindrical shells to find the volume of the solid generated when the region enclosed by the given curves is revolved about the y-axis. cos(x^2), x
With the Application of Integral calculus the volume of solid generated is π.
what is integral calculus?
We study integrals and their characteristics in the calculus area known as integral calculus. A crucial idea is integration, which is the opposite of difference. The fundamental theorem of calculus establishes a connection between integral and differential calculus.
v = 2π∫0√π/2xcosx2dx
= π·sinx20√π/2
v = π
Hence the volume of solid generated when the region enclosed by the given curves is revolved about the y-axis is π
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Illustrate with a diagram a consumer in equilibrium with indifference curves and a budget constraint. Measure units of X on the horizontal axis and units of Y on the vertical axis. Provide intuitive and mathematical explanations for what must be true in equilibrium.
What is the slope of the budget line if the slope of the budget line equals the slope of the indifference curve when consumer equilibrium is taken into account on an indifference curve/budget line diagram
A client selects a group of items where an indifference curve is perpendicular to the price range line in order to optimize utility. The fee ratio of the two things is the same as the client's marginal charge of substitution (absolutely the cost of the slope of the indifference curve) at the utility-maximizing solution. The marginal charge of substitution is the indifference curve's slope (MRS). The MRS is the price at which a client will often trade one fact for another.
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Find w. Round to the nearest tenth.
A. 4.4
B. 1.2
C. 39.5
D. 5.0
Answer:
Answer is A I believe
Step-by-step explanation:
The value of w from the given triangle VWX is 5 units. Therefore, option D is the correct answer.
What is sine rule?Law of Sines In trigonometry, the law of sines, sine law, sine formula, or sine rule is an equation relating the lengths of the sides of any triangle to the sines of its angles.
The formula for sine rule is sinA/a=sinB/b=sinC/c
From the given triangle VWX, ∠X=51°, ∠W=16° and VW=x=14.
Here, sinX/x=sinW/w
sin51°/14=sin16°/w
0.7771/14=sin16°/w
0.7771/14=0.2756/w
0.0555=0.2756/w
w=0.2756/0.0555
w=4.965
w≈5
Therefore, option D is the correct answer.
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Which ordered pair solves this linear system?
Y= -x
Y= 2x
The ordered pair that solves the system of equation is (0, 0).
To solve this system, we can substitute the first equation into the second equation to eliminate y:
x = 2x
Solving for x, we get x = 0.
Substituting x = 0 into the first equation, we get y = 0.
Therefore, the ordered pair that solves the system is (0, 0).
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TIME REMAINING
44:54
The table below shows the number of cars sold each month for 5 months at two dealerships.
Cars Sold
Month
Admiral Autos
Countywide Cars
Jan
4
9
Feb
19
17
Mar
15
14
Apr
10
10
May
17
15
Which statements are supported by the data in the table? Check all that apply.
The mean number of cars sold in a month is the same at both dealerships.
The median number of cars sold in a month is the same at both dealerships.
The total number of cars sold is the same at both dealerships.
The range of the number of cars sold is the same for both dealerships.
The data for Admiral Autos shows greater variability.
The statements supported by the data in the table are:
The mean number of cars sold in a month is the same at both dealerships.
The total number of cars sold is the same at both dealerships.
The data for Admiral Autos shows greater variability.
To determine which statements are supported by the data in the table, let's analyze the given information:
The mean number of cars sold in a month is the same at both dealerships.
To calculate the mean, we need to find the average number of cars sold each month at each dealership.
For Admiral Autos:
(4 + 19 + 15 + 10 + 17) / 5 = 65 / 5 = 13
For Countywide Cars:
(9 + 17 + 14 + 10 + 15) / 5 = 65 / 5 = 13
Since both dealerships have an average of 13 cars sold per month, the statement is supported.
The median number of cars sold in a month is the same at both dealerships.
To find the median, we arrange the numbers in ascending order and select the middle value.
For Admiral Autos: 4, 10, 15, 17, 19
Median = 15
For Countywide Cars: 9, 10, 14, 15, 17
Median = 14
Since the medians are different (15 for Admiral Autos and 14 for Countywide Cars), the statement is not supported.
The total number of cars sold is the same at both dealerships.
To find the total number of cars sold, we sum up the values for each dealership.
For Admiral Autos: 4 + 19 + 15 + 10 + 17 = 65
For Countywide Cars: 9 + 17 + 14 + 10 + 15 = 65
Since both dealerships sold a total of 65 cars, the statement is supported.
The range of the number of cars sold is the same for both dealerships.
The range is determined by subtracting the lowest value from the highest value.
For Admiral Autos: 19 - 4 = 15
For Countywide Cars: 17 - 9 = 8
Since the ranges are different (15 for Admiral Autos and 8 for Countywide Cars), the statement is not supported.
The data for Admiral Autos shows greater variability.
To determine the variability, we can look at the range or consider the differences between each data point and the mean.
As we saw earlier, the range for Admiral Autos is 15, while for Countywide Cars, it is 8. Additionally, the data points for Admiral Autos are more spread out, with larger differences from the mean compared to Countywide Cars. Therefore, the statement is supported.
Based on the analysis, the statements supported by the data are:
The mean number of cars sold in a month is the same at both dealerships.
The total number of cars sold is the same at both dealerships.
The data for Admiral Autos shows greater variability.
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I put the question in the photo but it’s basically a contingency table I just can’t find which like formula to us
a) The probability that exactly one of them will be a girl = 0.3407
b) The probability that at least one of them will like the football = 0.7672
a) If we select three students then the probability that exactly one of them will be a girl
From the attached two way table we can observe that the total number of girls = 22
the total number of boys = 18
and the total number of students = 40
The possible outcomes for selecting 3 students from 40 would be,
⁴⁰C₃
Using combination formula,
⁴⁰C₃ = 40! / (3! × (40 - 3)!)
= 9880
If there is exactly one girl then other two must be boys in the set of 3 selected students.
So, the required probability would be,
P = (²²C₁ × ¹⁸C₂) / ⁴⁰C₃
P = (22 × 153)/9880
P = 0.3407
b) The number of students like the football = 15
and the number of students who don't like the football are 40 - 15 = 25
The probability that at least one of them will like the football would be,
P = (¹⁵C₃ × ²⁵C₀ + ¹⁵C₂ × ²⁵C₁ + ¹⁵C₁ × ²⁵C₂) / ⁴⁰C₃
P = ((455 × 1) + (105 × 25) + (15 × 300)) / 9880
P = 0.7672
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The brain volumes (cm³) of 20 brains have a mean of 1085.2 cm³ and a standard deviation of 125.6 cm³. Use the
given standard deviation and the range rule of thumb to identify the limits separating values that are significantly low or
significantly high. For such data, would a brain volume of 1386.4 cm³ be significantly high?
If the brain volumes (cm³) of 20 brains have a mean of 1085.2 cm³ and a standard deviation of 125.6 cm³. For such data: it is significantly low for a brain because 1386.4 cm³ is less than the upper limit.
How to find the lower and upper limits?Mean = 1085.2 cm³
Standard deviation = 125.6 cm³
Hence,
Lower limit = Mean - 2 x Standard deviation
Lower limit =1085.2 - 2 x 125.6
Lower limit =1161.2 - 251.2
Lower limit =910
Upper Limit = Mean + 2 x Standard deviation
Upper Limit = 1161.2 + 2 x 125.6
Upper Limit =1161.2 +251.2
Upper Limit =1412.4
The limit of values is from 910 to 1412.4.
A value below 910 will be is considered low and a value above 1412.4 will be considered high
Therefore 1386.4 cm³ is less than the upper limit. Thus it is significantly low for a brain.
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A survey of licensed drivers inquired about running red lights. One question asked, "Of every 10 motorists who run a red light, about how many do you think will be caught?" The mean result for 880 respondents was
¯x= 1.92. Suppose we know that σ = 1.83. Compute a 95% confidence interval for the mean opinion in the population of all licensed drivers. (Round your answer to the nearest hundredth.)
Answer: (0.79, 3.05 )
Step-by-step explanation:
Confidence interval for the population mean:
\(\overline{x}\pm z^c\dfrac{\sigma}{\sqrt{n}}\)
, where \(\overline{x}\) = Sample mean
\(\sigma\) = population standard deviation
n= sample size.
\(z^c\) = Critical z value for confidence interval c.
As per given:
n= 10
\(\overline{x}=1.92\)
\(\sigma=1.83\)
Critical z-value for 95% confidence = 1.96
A 95% confidence interval for the mean opinion in the population of all licensed drivers:-
\(1.92\pm (1.96)\dfrac{1.83}{\sqrt{10}}\\\\=1.92\pm1.134\\\\= (1.92-1.134,\ 1.92+1.134)\\\\\approx(0.79,\ 3.05 )\)
Hence, a 95% confidence interval for the mean opinion in the population of all licensed drivers = (0.79, 3.05)
Pls help I need this answer now As part of a class project, a university student surveyed the students in the cafeteria lunch line to look for a relationship between eye color and hair color among students. The table below contains the results of the survey.
Rounding the answer to two decimal places, the relative frequency of students with red hair among the sample population of students with gray eyes is approximately 0.63. Option D
To find the relative frequency of students with red hair among the sample population of students with gray eyes, we need to divide the number of students with gray eyes and red hair by the total number of students with gray eyes.
From the given table, we can see that there are 22 students with gray eyes and red hair.
The total number of students with gray eyes is the marginal total for gray eyes, which is 35.
To find the relative frequency, we divide the number of students with gray eyes and red hair by the total number of students with gray eyes:
Relative frequency = Number of students with gray eyes and red hair / Total number of students with gray eyes
Relative frequency = 22 / 35
Simplifying the fraction, we have:
Relative frequency = 0.6286
Rounding the answer to two decimal places, the relative frequency of students with red hair among the sample population of students with gray eyes is approximately 0.63.
Therefore, the correct answer is option OD) 0.63.
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Classify each function as a power function, root function, polynomial (state its degree), rational function, algebraic function, trigonometric function, exponential function, or logarithmic function.
(a) y=Ï€x
(b) y=xπ
(c) y=x2(2−x3)
(d) y=tant−cost
(e) y=s1+s
(f) y=x3−1√1+x√3
(a) f(x) = \(log_2(x)\) is a logarithmic function
(b) g(x) = ∜x is a root function
(c) h(x) = \(2x^3/(1 - x^2)\) is a rational function
(d) u(t) = 1 - 1.1t + \(2.54t^2\) is a polynomial of degree 2
(e) v(t) = \(5^t\)is an exponential function
(f) w(θ) = sin θ \(cos^{2}\theta\) is a trigonometric function.
(a) f(x) = \(log_2(x)\) is a logarithmic function. Logarithmic functions have the logarithm of the independent variable as the output. Here, the logarithm base is 2.
(b) g(x) = ∜x is a root function. Root functions have the square root or higher roots of the independent variable as the output. Here, the root is a cube root.
(c) h(x) = \(2x^3/(1 - x^2)\) is a rational function. Rational functions are functions that are expressed as the quotient of two polynomials. Here, the numerator is a cubic polynomial and the denominator is a quadratic polynomial.
(d) u(t) = 1 - 1.1t + \(2.54t^2\) is a polynomial of degree 2. Polynomials are functions that are expressed as a sum of powers of the independent variable, with coefficients. The degree of a polynomial is the highest power of the independent variable.
(e) v(t) = \(5^t\) is an exponential function. Exponential functions have the independent variable as the exponent. Here, the base is 5.
(f) w(θ) = sin θ \(cos^{2}\theta\) is an algebraic function and a trigonometric function. Algebraic functions are functions that can be expressed using arithmetic operations and algebraic expressions. Trigonometric functions are functions that involve the ratios of the sides of a right triangle. Here, the function is a combination of sine and cosine functions.
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The complete question is -
Classify each function as a power function, root function, polynomial (state its degree), rational function, algebraic function, trigonometric function, exponential function, or logarithmic function.
(a) f(x) = \(log_2(x)\)
(b) g(x) = ∜x
(c) h(x) = \(2x^3/(1 - x^2)\)
(d) u(t) = 1 - 1.1t + \(2.54t^2\)
(e) v(t) = \(5^t\)
(f) w(θ) = sin θ \(cos^{2}\theta\)