Answer:
1/12
Step-by-step explanation:
1/4 x 1/3 = 1/12
You multiply the numerators, 1 & 1, and that is 1.
You multiply the denominators, 4 & 3, and that is 12.
You put the numerator, on top of the denominator, and get 1/12.
Hope that helps!
If you loan $500 to a friend for 6 months and charge $50 total
in interest, what is the annual simple interest rate?
Step-by-step explanation:
S=(P×R×T)÷100
R=(100×S)÷P×T, given that S= simple interest, P=principal amount,T=time and R=rate.
R=(100×50)÷500×6
R=1.67
Which rule describes the translation ABCD → A′B′C′D′?
Answer:
translation
all the points are in the same orientation, and all the lengths are the same.
all that has changed are the coordinates.
Which of the following is the equation of a line whose slope is 3 and which passes through the point (2,7)?
1. y=x + 3
2. y= 3x + 13
3. y=3x + 1
4. y= -3x + 5
Given:
Slope of a line = 3
Line passes through the point = (2,7)
To find:
The equation of the line.
Solution:
The point slope form of a line is:
\(y-y_1=m(x-x_1)\)
Where, m is the slope of the line.
The line passes through the point (2,7) and slope of the line 3. So, the equation of the line is:
\(y-7=3(x-2)\)
\(y-7=3x-6\)
\(y=3x-6+7\)
\(y=3x+1\)
Therefore, the correct option is 3.
I will give brainiest to whoever answers correctly !!
The graph below shows the solutions to which inequality?
A. x^2-3x+3 ≥0
B. x² + 3x-3 <0
C. x²-3x+3<0
D. x² + 3x-3>0
The inequality expression that corresponds to the solution of the inequality graph is x² + 3x - 3 < 0.
option B.
What is the solution of the inequality?The inequality expression that corresponds to the solution of the inequality graph is determined by simplifying the equations as follows;
The solution of the graph,
x > -4 and x < 1
The first equation with "≥" is ruled out because the graph doesn't have a thick dot.
Let's simplify the second expression;
x² + 3x - 3 < 0
solve using quadratic formula;
x > -3.79 or x < 0.79
The third expression is ruled out since its solution will be complex.
For the last expression;
x² + 3x - 3 > 0
x < -3.79 or x > 0.79
Thus, the correct inequality expression is x² + 3x - 3 < 0.
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Mr. Brown is going to start sleeping an extra 30 minutes each night. If d represents the number of days, which of the following expressions shows how many more hours of sleep Mr. Brown will get in a week?
The additional hours of sleep is an illustration of rates.
The expression that represents the additional hours is d/2
The number of days is given as:
\(\mathbf{Days = d}\)
The rate of sleep per day is given as:
\(\mathbf{Rate =30}\)
So, the required expression is:
\(\mathbf{Expression = Days \times Rate}\)
This gives
\(\mathbf{Expression = d \times 30}\)
\(\mathbf{Expression = 30d}\)
Divide by 60, to represent it as hours
\(\mathbf{Expression = \frac{30d}{60}}\)
\(\mathbf{Expression = \frac{d}{2}}\)
Hence, the expression that represents the additional hours is d/2
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The product of two numbers is 1536.
If the HCF of the two numbers is 16.
find the LCM of these two numbers.
Work Shown:
LCM = (product of two numbers)/(HCF of the two numbers)
LCM = 1536/16
LCM = 96
10 1/3 is how much more than 7 8/9?
Answer:2 4/9
Step-by-step explanation:
Your friend solved 7.15 + (-12.76) = 19.91. Are they correct? Explain your reasoning.
Answer:
he is not correct
correct answer is -5.61
Step-by-step explanation:
he added them together but did not account for the negative in the second term
Answer:
they are not correct because 7.15 + (-12.76) equals −5.61 not 19.91
Step-by-step explanation:
hope this helps
Write a quadratic function f whose zeros are -4 and -1
The quadratic function f whose zeros are -4 and -1 is f(x) = x² + 5x + 4.
What is the quadratic function f whose zeros are -4 and -1?Roots are the points where the graph intercepts with the x-axis, at that point y or f(x) = 0.
Given the roots in the question;
-4 and -1.
x = -4 was found by solving for x when x - (-4) = y or f(x) and we know that y or f(x) = 0
Hence, the factor is
x - (-4) ⇒ ( x + 4 )
x = -1 was found by solving for x when x - (-1) = y or f(x) and we know that y or f(x) = 0
Hence, the factor is
x - (-1) ⇒ ( x + 1 )
Next, we combine the factors and expand;
f(x) = ( x + 4 )( x + 1 )
f(x) = x( x + 1 ) +4( x + 1 )
f(x) = x² + x + 4x + 4
Combine like terms
f(x) = x² + 5x + 4
Therefore, the quadratic function f whose zeros are -4 and -1 is f(x) = x² + 5x + 4.
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show your work
n − 8 = −10
Answer:
n = -2
Step-by-step explanation:
n − 8 = −10
n = -2
Answer:
n = -2
Step-by-step explanation:
Find the area of a circle with diameter, d = 5.9m. Give your answer rounded to 1 DP.
Answer: 27.34 sq. m.
Step-by-step explanation:
Area of a circle = πr^2
= π x 2.95^2
= π x 8.7025
= 27.33971
Find the area of the triangle.
3 9
A
5
B
?] units²
The area of the triangle is 47.91 units²
How to find the area of the triangle?When all three sides of the triangle are known we can use Heron's formula. Consider the triangle ABC with sides a, b, and c has shown in the image.
Heron’s formula is:
Area =√s(s−a)(s−b)(s−c)
where,
a, b, c are the side length of the triangle
s is the semi-perimeter. s = (a+b+c)/2
In this case:
Using the knowledge of the radius of a circle. We can say:
a = BC = 3 + 9 = 12 units
b = AC = 5 + 3 = 8 units
c = AB = 5 + 9 = 14 units
s = (a+b+c)/2
s = (12+8+14)/2
s = 34/2
s = 17 units
Area = √s(s−a)(s−b)(s−c)
Area = √17(17−12)(17−8)(17−14)
Area = √17(5)(9)(3)
Area = √2295
Area = 47.91 units²
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Janet is analyzing temperatures she recorded for an experiment. For which data set would the mean be the best measure of center? a.) 54, 51, 59, 90, 49, 60, 52, 53 b.) 75, 78, 82, 68, 72, 71, 77, 80 c.) 82, 90, 91, 87, 77, 29, 80, 83 d.) 32, 35, 84, 29, 25, 22, 30, 34
The data set for which the mean would be the best measure of center is option b.) 75, 78, 82, 68, 72, 71, 77, 80.
What is mean?
In statistics, the mean (also known as the arithmetic mean or average) is a measure of central tendency that represents the sum of a set of numbers divided by the total number of numbers in the set.
The mean is a good measure of center when the data is roughly symmetrically distributed, without any extreme values that could skew the average.
Option b) has data that is reasonably distributed around a central value, with no clear outliers or extreme values. Option a) has an extreme value of 90, which could skew the mean higher. Option c) has an extreme low value of 29 that could skew the mean lower. Option d) has extreme values of 84 and 22, which could distort the mean value.
Therefore, the data set for which the mean would be the best measure of center is option b.) 75, 78, 82, 68, 72, 71, 77, 80.
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which of the following portions are true
A. 20/48 = 40/90
B. 25/40 = 48/80
C. 18/48 = 27/72
D. 12/15 = 21/25
HELPPP
PLLS
DUE RN
WILL
GIVE BRAINLIST
X
X
X
X
The correct answer is 14.
put the bracket in the correct place
10-3x4-2+1=5
Answer:
10-(3×4)-2+1=5
10-12-3=5
10-15=5
10=5+15
10=20
20-10
10
Answer:
[10 - 3 × (4-2)] +1= 5
.......
please help for this zearn lesson if u can solve it please tell me the answer
Answer:
q = 6
Step-by-step explanation:
30/5 = 6
5(6)/5
30/5
6
Have an amazing day!!
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2 more than n is the quotient of n and 6
Answer:
6n+2
Step-by-step explanation:
What are the solutions to x³ = -2 – 2i in polar form?
Therefore, the solutions to x³ = -2 - 2i in polar form are x₁ = √6 + √2i, x₂ = -√2 + √6i, and x₃ = -√6 - √2i.
What is complex number?A complex number is a number that can be expressed in the form a + bi, where a and b are real numbers and i is the imaginary unit, defined as the square root of -1. The real part of the complex number is a, and the imaginary part is bi. Complex numbers are often used in mathematics and engineering to represent quantities that involve both a real part and an imaginary part, such as electrical impedance, wave functions, and solutions to polynomial equations. Complex numbers can be added, subtracted, multiplied, and divided using rules similar to those for real numbers, and they can be plotted in a two-dimensional coordinate system called the complex plane, with the real part along the x-axis and the imaginary part along the y-axis.
Here,
To find the solutions to the equation x³ = -2 - 2i in polar form, we first convert the complex number -2 - 2i to polar form:
|-2 - 2i| = sqrt((-2)^2 + (-2)^2) = 2*sqrt(2)
arg(-2 - 2i) = tan⁻¹((-2)/(-2)) = tan⁻¹(1) = π/4 (in the second quadrant)
So, -2 - 2i in polar form is 2√2∠(π/4).
Next, we can write x³ in polar form as |x³|∠(3θ), where |x³| = |x|³ and 3θ is the angle formed by rotating θ three times. So we have:
|x³| = |-2 - 2i| = 2*sqrt(2)
3θ = arg(-2 - 2i) + 2kπ, where k is an integer
Substituting the value of arg(-2 - 2i), we have:
3θ = π/4 + 2kπ
Dividing both sides by 3, we get:
θ = π/12 + (2kπ)/3
So the three solutions in polar form are:
x₁ = 2√2∠(π/12)
x₂ = 2√2∠(5π/12)
x₃ = 2√2∠(9π/12)
Simplifying, we have:
x₁ = √6 + √2i
x₂ = -√2 + √6i
x₃ = -√6 - √2i
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write a letter to your friend telling her how you are coping in your new senior school
Answer:
?
Step-by-step explanation:
2(2.5x+8)=26
what does x=?
plz help
Answer:
x=2
Step-by-step explanation:
Hope this helps!
Answer:
simplifying x = 2
Step-by-step explanation:
reordering the terms then solving + 5x =26
add -16 to each side of the equation
16 = -16 + 5x = 26+ -16
Which could be the dimensions of a rectangular prism whose surface area is greater than 140 square feet? Select
three options.
6 feet by 2 feet by 3 feet
6 feet by 5 feet by 4 feet
17 feet by 6 feet by 4 feet
8 feet by 3 feet by 7 feet
8 feet by 4 feet by 3 feet
Answer:
6 feet by 5 feet by 3 feet
17 feet by 6 feet by 4 feet
8 feet by 3 feet by 7 feet
PLEASE HELP ME 1. A different pool had an area that is of the form
▢ × 102 + ▢ × 101 + 6
and that can be written in the form x3 ,
where x is a whole number.
A) Decide what your number could be.
B) What is the perfect square number that is closest to the number you chose? What would the side length of a square pool with that area be?
C) Estimate the side length of a square pool with the area you chose in part a).
The solutions to the questions are
The number we are using is 5The perfect square number closest to the area is 1024The estimated side length is 32What are areas?The area of a shape is the amount of space on the shape
For most regular quadrilaterals, you multiply the side lengths to determine the area
The number to useThe area expression is given as
Area = ▢ × 102 + ▢ × 101 + 6
From the question, we can use any number
However, this number must be positive
Assume the number is 5
So, we have
Area = 5 × 102 + 5 × 101 + 6
The perfect square number closest to the resultIn (a), we have:
Area = 5 × 102 + 5 × 101 + 6
Evaluate
Area = 1021
The perfect square number closest to this is
Closest = 1024
The estimated side lengthIn (b), we have
Closest = 1024
Rewrite as
Area = 1024
Take the square roots
Length = 32
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The mean of a sequence of n numbers is m. If we split the sequence into two sequences of lengths n1 and n2 and compute their means m1 and m2, which of the following is TRUE?
1 - m = (m1 m2) /2
2 - m = (m1 m2) / (n1 n2)
3 - m = (n2 * m1 + n1 m2) / (n1 + n2)
4 - m = (n1 ml+ n2 m2) / (n1 + n2)
???
Answer:
\(m = (n2m1 + n1m2) \(n1 + n2)\)
two alarms are set to go off in the morning. one alarm will buzz every 6 minutes and the other will beep every 9 minutes. if both alarms go off 6:15 am what is the next time the both alarms will go off at the same time
=========================================================
Explanation:
The LCM of 6 and 9 is 18. We can see that by listing out the multiples
multiples of 6 = {6,12,18,24,30,...}
multiples of 9 = {9,18,27,36,45...}
Or we could multiply 9*6 = 54, and divide by the GCF 3 getting 54/3 = 18. There are a few options to find the LCM.
The LCM being 18 means that every 18 minutes, both alarms will go off. If they both sound off at 6:15 AM, then the next time they trigger together is 6:33 AM since 15+18 = 33, and there is no carry over to the next hour.
You can think of the time values adding like this
6:15 + 0:18 = (6+0):(15+18) = 6:33
Please help! The table below shows the elevations of the three animals that Fernanda can see from her boat.
Answer:
Sea Lion, fish, Bird
Step-by-step explanation:
Find the absolute value of the animals, and then compare them from least to greatest
-6x+15=45
what does x equal/
Answer:
6x Would not be considered as a answer but it is known as a unknown so the answer would be -60
Step-by-step explanation:
This is because it is
In Ms. DLP's 8th period class there is
a ratio of 8 girls to 10 boys. What
percent are girls?
Answer:
8%
Step-by-step explanation:
the answer is right their in the ratio and the class as a whole would be 18 so there are 8 girls (8%) and 10 boys(10%)
The volume of a cone is 13.4m cubed and the radius is 3.2m what is the height
Answer:
The height is 1.25m.
Step-by-step explanation:
Volume = 1/3 πr²h
Given:
V = 13.4 m³
r = 3.2 m
Asked: height (h)
Substitute the formula with the given values then solve
13.4m³ = 1/3π(3.2m)²h
13.4(3) = 10.24πh
40.2 = 10.24πh
h = 40.2/10.24π
h = 1.25m
The height of the cone is 1.25 meters.
We know that the volume of the cone is given by
V = (1 / 3) * π * r ^2 * h................equation 1
where,
V is the volume of the cone.
r is the radius of the cone's base
h is the height
The volume and radius of the cone are given,
V = 13.4 m
r = 3.2m
substituting these values in equation 1 we get,
13.4 = (1 / 3) * 3.14 * 3.2 ^ 2 * h
on simplifying further
13.4 = 10.717 * h
h = 1.25m
The height of the cone is 1.25 meters.
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