Answer:
-1/60
Step-by-step explanation:
9/20-7/15=27/60-28/60
=-1/60
Answer:
-1/60
Step-by-step explanation:
The fractions have unlike denominators. First, find the Least Common Denominator and rewrite the fractions with the common denominator.
LCD(9/20, 7/15) = 60
Multiply both the numerator and denominator of each fraction by the number that makes its denominator equal the LCD. This is basically multiplying each fraction by 1.
(9/20×33)−(7/15×44)
Complete the multiplication and the equation becomes
27/60−28/60
The two fractions now have like denominators so you can subtract the numerators.
Then:
27−28/60=−1/60
This fraction cannot be reduced.
Therefore:
9/20−7/15=−1/60
The volume of a sphere is 62,208π cubic centimeters. Find the radius
Answer:
The radius of the sphere is 36 centimeters.
Step-by-step explanation:
Given that the volume of a sphere is 62,208π cubic centimeters, to find the radius the following calculation must be performed, knowing that the formula to obtain the volume of a sphere is V = 4/3 π x radius³:
62,208 x 3.14 = 4/3 x 3.14 x X³
195,333.12 = 4/3 x 3.14 x X³
195,333.12 = 4.18666 x X³
195,333.12 / 4.18666 = X³
46.656 = X³
³√ 46,656 = X
36 = X
Therefore, the radius of the sphere is 36 centimeters.
The normal monthly temperatures (°F) for Omaha, Nebraska, are recorded below.
Month
Jan Feb Mar
Apr May
Jun
Jul
Aug
Sep
Oct
Nov
Dec
1
2
3
4
5
6
7
8
9
10
11
12
Temp.
21°
27°
390520620
720
770
740
650
53°
39°
25°
a. Write a sinusoidal function that models Omaha's monthly temperature variation
b. Use the model to estimate the normal temperature during the month of April.
Answer
[tex]y = 28 \sin(\frac{\pi}{6} - \frac{2\pi}{3}) + 49[/tex]
Step by Step Explanation
Given
See attachment for table
Required
Determine the sinusoidal function
The sinusoidal function is represented as:
[tex]y = A \sin(Bx + C) + D[/tex]
Where
[tex]|A| = Amplitude[/tex]
And it is calculated as:
[tex]A = \frac{1}{2}[Highest - Least][/tex]
From the table:
Highest = 77 and Least = 21
So:
[tex]A = \frac{1}{2}[77 - 21][/tex]
[tex]A = \frac{1}{2}[56][/tex]
[tex]A = 28[/tex]
B is calculated as:
[tex]Period = \frac{2\pi}{B}[/tex]
The period is 12 i.e. 12 months
So:
[tex]\frac{2\pi}{B} = 12[/tex]
[tex]B = \frac{2\pi}{12}[/tex]
[tex]B = \frac{\pi}{6}[/tex]
C is calculated as:
[tex]\frac{C}{B} = -4[/tex]
[tex]C = -4 * B[/tex]
[tex]C = -4 * \frac{\pi}{6}[/tex]
[tex]C = -2 * \frac{\pi}{3}[/tex]
[tex]C = -\frac{2\pi}{3}[/tex]
Lastly, D is calculated as:
[tex]D = Least + A[/tex]
So:
[tex]D =21 + 28[/tex]
[tex]D=49[/tex]
So, the function is:
[tex]y = A \sin(Bx + C) + D[/tex]
[tex]y = 28 \sin(\frac{\pi}{6} - \frac{2\pi}{3}) + 49[/tex]
Answer:
y=28 sin (pi/6 t - 7pi/6)+49
Step-by-step explanation:
Please help I’ll mark brainliest
Answer:
y-intercept: (0,-4)
x-intercept: (-9,0)
Step-by-step explanation:
To find the y and x intercepts, simply plug in 0 for x or y in the equation.
y-intercept:
[tex]-\frac{4}{3} x - 3y = 12[/tex]
[tex]-\frac{4}{3} (0) - 3y = 12[/tex]
[tex]0 - 3y = 12[/tex]
[tex]-3y = 12[/tex]
[tex]y = -4[/tex]
(0,-4)
x-intercept
[tex]-\frac{4}{3} x - 3y = 12[/tex]
[tex]-\frac{4}{3} x - 3(0) = 12[/tex]
[tex]-\frac{4}{3} x - 0 = 12[/tex]
[tex]-\frac{4}{3} x = 12[/tex]
[tex]-4x = 36[/tex]
[tex]x = -9[/tex]
(-9,0)
The second term of a sequence is 12 and the common ratio is 2. Which equation gives the nth term of the sequence?
Answer:
The last: [tex]\bold{f(x) = 6(2)^{x-1}}[/tex]Step-by-step explanation:
Its a geometric sequence: aₙ = a₁ rⁿ⁻¹
f(x) = aₙ
a₁ = a₂÷r = 12÷2 = 6
r = 2
x = n
Therefore:
[tex]f(x) = 6(2)^{x-1}[/tex]
My cat, Huckleberry, sneaked out of the house and climbed onto my roof. My dad brought his extension ladder to help get Huckle down. Dad is standing 6 feet from the house, and the angle of elevation from him to Huckleberry is 75 degrees. To what length should the ladder be extended so that Dad can grab Huckle and bring him to safety? Round to the nearest tenth.
list all the equivalent fractions for the 12/20
Answer:
6/10
9/15
12/20
Step-by-step explanation:
Answer: 6/10, 3/5
Hope it helps!
In AGHI, the measure of ZI=90°, the measure of ZG=5°, and IG = 57 feet. Find the
length of GH to the nearest tenth of a foot.
Answer:
The answer is 57.2
This is correct
Vincent gathered groups of 1 to 8 people and gave every group the same puzzle to solve. He recorded the
number of minutes it took each group to solve the puzzle and plotted the results.
Which statement is the best description of the association between these variables?
The statement that best describes the association of these variables is larger groups tend to take less time to solve the puzzle.
What is the true statement?A graph can be described as a pictorial representation of data. A graph has a x axis and a y-axis. The x-axis in this graph is the number of people in the groups and the y-axis is the time it takes to solve the puzzle.
The graph slopes downwards. This indicates that as the number of people in the groups increase, the time it takes to solve the puzzle decreases.
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Answer:
Nonlinear association
Step-by-step explanation:
Please like if this helps :)
I have found the area but I'm not sure how to find the perimeter.
Answer:
20+20+24+24=88
88/2=44
88+44=132
Step-by-step explanation:
If you split it so there is a rectangle and a triangle, you find the perimeter of the rectangle then divide it in half.
Choose the correct simplification of the expression a^9 multiplied by b^10/a^2 multiplied by b^7
A^11b^17
1/a^11b^17
1/a^7b^3
A^7b^3
Answer:
a^7 b^3
Step-by-step explanation:
The question can be interpreted as
[(a^9)( b ^10)] / [(a^2 )×( b ^7)]
Then we can bring the denominator up, which means the power on the denominator will become (-ve) once it comes to the numerator side. Then we have
a^(9-2) × b^(10-7)
We can simplify by performing substraction on the power
= a^7 b^3
What is the correct factorization of
6x2 + 24x?
Hurry
Answer:
6x^2*(x+4)
Step-by-step explanation:
hope this helps! :)
can someone solve this
Answer:
16
Step-by-step explanation:
1/2 ^(-1)=2
8×2=16
Hope that helped.
12 more to go please help me
Step-by-step explanation:
Total number of people = 48 + 32 + 16
= 96
P(2 or more items) =
[tex] \frac{32}{96} \\ = \frac{1}{3} [/tex]
The temperature today will be atleast 10F | on a graph and inequality
Answer:
Temperature => 10F
Step-by-step explanation:
Mark brainliest if this helped!
Mark brainliest if this helped!
if it was 113.5° in Amarillo and 95.7° in Phoenix how much hotter was it in Amarillo than it was in Phoenix
find dy/dx in the following
1) y= sin x+ e^{x}
2) y= e^{x}-1/x+㏒e x
Answer:
2,6323
Step-by-step explanation:
pls help quickly thank u
Answer:
Dependant
Step-by-step explanation:
Its dependant because when you take out one chocolate another may fall and take its place.
what is 12 divided by 25358
0.0004732
12/ 25358
answer depends if you want to round it
The question is: Which best describes the first step in evaluating the expression 4· 53+1 (8-5)Cubed 3
Answer:
Subtract [tex]8 - 5[/tex]
Step-by-step explanation:
Given
[tex]4 . \frac{53 + 1}{(8 - 5)^3}[/tex]
Required
The first step to evaluate the expression
The first step is to evaluate the expression in brackets.
From the question: The expression in bracket is: [tex]8 - 5[/tex]
So, the first step is to subtract [tex]8 - 5[/tex]
Data collected in a mall recorded the shoe color worn by 30 customers. Based on this information, if there are 360 customers in the mall, how many customers would you expect to have a black shoe?
Answer:
200 people
Step-by-step explanation:
I did the math on my calculator
Plz help my with this!
Answer:
D. 22.8 unitsStep-by-step explanation:
As per the graph we have:
MN = 4NP = 9MP is a hypotenuse and MP > NPApproximate perimeter of MNP is:
P > 4 + 9 + 9 = 22P > 22Option D is the only one greater than 22
In ΔNOP, n = 7.4 cm, o = 8.7 cm and ∠P=61°. Find the area of ΔNOP, to the nearest 10th of a square centimeter
Answer:
28.15 cm²
Step-by-step explanation:
In ΔNOP, n = 7.4 cm, o = 8.7 cm and ∠P=61°. Find the area of ΔNOP, to the nearest 10th of a square centimeter
For the above question, we are given 2 sides and an angle.
The formula to find the area of ΔNOP
1/2 × a × b × sin θ
From the above question:
θ = 61°
a = 7.4 cm
b = 8.7 cm
Hence,
1/2 × 7.4 × 8.7 × sin 61
= 28.154008373 cm²
Approximately to the nearest tenth = 28.15 cm²
What is the median and the modes?
Answer:
La mediana es el valor medio cuando un conjunto de datos se ordena de menor a mayor. La moda es el número que se presenta con más frecuencia en un conjunto de datos.
Step-by-step explanati_:espero
ayudar:)
What is 5 1/6 + 2/3?
The sum of the fraction 5 1/6+2/3 is 5.83.
How to calculate sum of the fraction?Any number of equal parts is represented by a fraction, which also represents a portion of a whole. When expressed in common English, a fraction, such as one-half, eight-fifths, or three-quarters, specifies the number of components of a specific size.
5 1/6 + 2/3 = 5.83
An element of a whole is a fraction. When expressed in common English, a fraction, such as one-half, eight-fifths, or three-quarters, specifies the number of components of a specific size. A fraction appears in the numerator or denominator of a complex fraction.
There are three main categories of fractions in mathematics. Proper fractions, incorrect fractions, and mixed fractions are these three types. The expressions with a numerator and a denominator are called fractions. We categorize its types based on these two terms. The terminology used to calculate fractions the parts of a whole object.
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3. Which ordered pair is the solution to the following system of equations?
y = x + 4
x+y=2
Answer:
(-1, 3)
Step-by-step explanation:
replace the occurrences of y in the equation
(x + y = 2) with x + 4
x + x + 4 = 2
2x + 4 = 2
solving for x in the first equation
2x = 2 - 4
2x = -2
2x/2 = -2/2
x = -1
replacing all occurrences of x in y = x + 4 with -1
y = (-1) + 4
y = 3
therefore the pairs are (-1, 3)
Hope it helps!
write an equation of the circle with center (8,-6) and radius 2
Answer:
(x - 8)^2 + (y + 6)^2 = 4.
Step-by-step explanation:
The general equation is:
(x - a)^2 + (y - b)^2 = r^2.
Plugging in the given values:
(x - 8)^2 + (y - (-6))^2 = 2^2
(x - 8)^2 + (y + 6)^2 = 4.
which question can be answered using the expression 1/3 didvied by 3/4
Answer:
1/3 divided by 3/4 = 0.44
Step-by-step explanation:
1/3 (0.33) divide by 3/4 (0.75) = 0.44
cade wants to learn more about chipmunks which of the following statistical question cade could ask
Answer:
B is the best choice
Step-by-step explanation:
A and C have nothing to do with numbers, so you can rule them out. D would only give you one piece of data.
With B, you'd get a number that had to be calculated. Probably a mean/average weight of a chipmunk.
Answer:
B 100% I just took the test
Find the values of x
and y that make these triangles congruent by the HL Theorem.
X = 2, Y = 1
X = 3, y = 2
X=1, y = 2
X = 2, y = 3
9514 1404 393
Answer:
(b) x = 3, y = 2
Step-by-step explanation:
In order for the triangles to be congruent by the HL theorem, the hypotenuses must be congruent:
3y = x+3
and the corresponding legs must be congruent:
y +1 = x
__
We can solve this set of equations by substituting for x:
3y = (y +1) +3
2y = 4 . . . . . . . .subtract y
y = 2 . . . . . . . . .divide by 2
2+1 = x = 3 . . . substitute for y in the equation for x
The solution is (x, y) = (3, 2).
Help please will give brainliest
Answer:
B
Step-by-step explanation:
4x12=48/2x2=B or 48
Answer:
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this is the answer.