Answer:
If the denominators are not the same: First, make them the same. Then add or subtract like fractions with the same denominators.
Step-by-step explanation:
the first step when multiplying fractions is to multiply the two numerators. the second step is to multiply the two denominators. simplify the new fractions. the fractions can also be simplified before multiplying by factoring out common factors in the numerator and denominator.
to add or subtract fractions they must have the same denominator. if the denominators are already the same then it is just a matter of either adding or subtracting the numerators if the denominators are difrent then a common denominator needs to be found.
The determinant of the matrix
Answer:57
Step-by-step explanation:
(7 x 9) - (-3 x -2) = 57
Andre runs for 35 seconds at a velocity of -8 meters per second. He is running west. What is his finishing position?
Answer:
d = -280 m
Step-by-step explanation:
Given that,
Velocity of Andre, v = -8 m/s
Time taken, t = 35 seconds
We need to find his finishing position. Let the finishing position be x.
We know that,
Velocity = distance/time
So,
[tex]d=v\times t\\\\d=-8\times 35\\\\=-280\ m[/tex]
so, he was at a distance of 280 m in west.
What is the function where it has a maximum point at (pi, 6) and a minimum point at (-3pi/4, 2). Find the function. Give an exact expression.
Answer:
f(x) = 2*cos(4*x) + 4
Step-by-step explanation:
This is obviusly a sinusoidal function, which can be written as:
f(x) = A*cos( w*x ) + M
Where:
A = amplitude
w = angular frequency
M = midline.
Remember that the maximum of a cosine
cos(x) = 1, when x = (2*n)*pi (for any integer n)
And the minimum is at:
cos(x) = -1, when x = (2*m + 1)*pi (for any integer m)
Whit this in mind, we know that we have a maximum when:
x = pi
then we want:
w*pi = (2*n)*pi
and a minimum at:
x = -3*pi/4
Then we want
w*(-3*pi/4) = (2*m + 1)*pi
In the minimum case, we have a "4" in the denominator that is kinda unfortunate, so we woud want to take w = 4 in order to remove it, and this will work really well for wath we want, because:
w*pi = 4*pi = (2*2)*pi (here we have n = 2)
w*(-3*pi/4) = 4*(-3*pi/4) = -3*pi = (2*-2 + 1)*pi (here we have m = -2)
Then we can take w = 4.
So the function is something like:
f(x) = A*cos(4*x) + M
The amplitude is equal to half of the difference between the maximum and the minimum values of y.
The maximum is:
y = 6
the minimum is:
y = 2
Half of the difference is:
A = (6 - 2)/2 = 2
A = 2
Then our function is:
f(x) = 2*cos(4*x) + M
The value of the midline is equal to the maximum minus the value of the amplitude (or the minimum plus the value of the amplitude)
M = Maximum - A = 6 - 2 = 4
M = Minimum + A = 2 + 2 = 4
Then the function is:
f(x) = 2*cos(4*x) + 4
Answer:
2cos (4/7x - 4pi/7) + 4
Step-by-step explanation:
I need help with this
Answer:
I'm pretty sure it's b ''the number of chargers increases''
Step-by-step explanation:
In a class of 28 students, 21 have a brother and 9 have a sister. There are 7 students
who have a brother and a sister. What is the probability that a student chosen
randomly from the class has a brother and a sister?
1/4
because not a lot of students have both gender as siblings!
Answer:
Step-by-step explanation:
28 students in total
21 - 7 = 14 students only has a brother
9 - 7 = 2 students only have a sister
7 students have both brothers and sisters
probability of a student having a brother and a sister:
[tex]\frac{7}{28} = \frac{1}{4}[/tex]
Are the triangles to the right congruent? EXPLAIN YOUR ANSWER
Answer:
Right triangles are congruent if both the hypotenuse and one leg are the same length. These triangles are congruent by HL, or hypotenuse-leg.
Step-by-step explanation:
Answer:
Yes, they are congruent
Step-by-step explanation:
Using Pythagorean theorem in ΔMNP,
Base² + altitude² = hypotenuse²
MP² + 28² = 35²
MP² + 784 = 1225
MP² = 1125 - 784 = 441
MP =√441
MP = 21
As per RH congruent rule,
Hypotenuse NP ≅ RS and
Any one leg , here MP = RQ = 21'
Jenny left her house at 8:00 AM and went to school at a speed of 2 2/3 mph her brother Jim left the house 4 minutes later and went to the same school. What must his speed be if he wants to keep the same distance between his sister and himself?
Answer:
2 and 2/3 mph
Step-by-step explanation:
The computation of the speed when he wants to keep the same distance is shown below:
Given that
Jenny left her house at 8:00AM
Went for a school at a speed of 2 and 2/3 mph
And, her brother left the house minutes later
So here the speed would be the same i.e. 2 and 2/3 mph
2. Which property is used in the statement?
If 2w=−8, then w=−4.
A. Reflexive Property
B. Division Property of Equality
C. Subtraction Property of Equality
D. Symmetric Property
Answer:
B
Step-by-step explanation:
help me pls its due soon
What should the renamed numerators for 5/7 and 2/6 be? (Just type the numerator, not the entire fraction
Answer:
do you mean in simplist form?? if so...
Step-by-step explanation:
5/7=5/7
2/6=1/3
Where is the function increasing? A) 1 < x < ∞ B) 3 < x < ∞ C) -∞ < x < 1 D) -∞ < x < 3
please hurry i have 5mins
Answer: I think its A
Step-by-step explanation:
The given function is increasing from 1 to ∞. Therefore, option A is the correct answer.
What is the function?Functions are the fundamental part of the calculus in mathematics. The functions are the special types of relations. A function in math is visualized as a rule, which gives a unique output for every input x.
From the given graph, the vertex is (1, -2)
For a function y = f(x), if the value of y increases on increasing the value of x, then the function is an increasing function.
Here, the function is increasing from 1 to infinity.
Therefore, option A is the correct answer.
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In 1-5, given: Two similar cylinders with heights of 8 and 5 respectively.
Answer:
1. The ratio of their diameters is 8/5 = 8 : 5
2. The ratio of their surface area is (8/5)²
3. The ratio of their volume is (8/5)³
4.The area of the base of the larger cylinder is 128 cm²
Step-by-step explanation:
Given that the two cylinders are similar, we have;
Two cylinders are similar when the ratio of their heights is equal to the ratio of their radii
Therefore, we have;
1. The ratio of the height of the two cylinders = 8/5 = The radio of their radii = r₁/r₂
The ratio of their diameter = D₁/D₂ = 2·r₁/2·r₂ = r₁/r₂ = 8/5
The ratio of their diameters D₁/D₂ = 8/5 = 8 : 5
2. The surface area of the cylinders = 2·π·r·h + 2·π·r²
Therefore, we have;
(2·π·r₁·h₁ + 2·π·r₁²)/(2·π·r₂·h₂ + 2·π·r₂²) = (r₁·h₁ + r₁²)/(r₂·h₂ + r₂²)
h₁ = h₂ × 8/5
r₁ = r₂ × 8/5
= (8/5)²(r₂·h₂ + r₂²)/(r₂·h₂ + r₂²) = (8/5)²
The ratio of their surface area = (8/5)²
3. The volume of the cylinder = π·r²·h
∴ The ratio of the volume = (π·r₁²·h₁)/(π·r₂²·h₂) = (8/5)³ × (π·r₂²·h₂)/(π·r₂²·h₂) = (8/5)³
The ratio of their volume = (8/5)³
4. The ratio of the area of the base of the larger cylinder to the area of the base of the smaller cylinder is (8/5)²
Therefore if the area of the base of the smaller cylinder is 50 cm², the area of the base of the larger cylinder = 50 cm² × (8/5)² = 128 cm²
Please answer all of the questions EXCEPT the ones already answered. I WILL GIVE BRAINLIEST TO WHOEVER DOES IT QUICKEST!
Answer:
#3= 8 #4=2 #5= 4,3 #6= 5 #7= 8 #8=9
Step-by-step explanation:
Which of these inequalities are equivalent to r > -11? Check all that apply. -r < 11 3r < -33 3r > -33 -3r < 33 -3r > 33
Answer:
-3r < 33, 3r> -33 and -r < 11
Step-by-step explanation:
Which of these inequalities are equivalent to r > -11? Check all that apply. -r < 11 3r < -33 3r > -33 -3r < 33 -3r > 33
For the inequality -r < 11
Multiplying both sides by -1 will reverse the sign to have;
-1(-r) > -1(11)
r > -11
for the inequality 3r> -33
Divide bith sides by 3 will not reverse the sign because we are divideing by a positive number
3r/3 > -33/3
r > -11
For the inequality -3r < 33
Divide both sides by -3 will reverse the sign
-3r/-3 > 33/-3
r > -11
Hence the required inequalities are -3r < 33, 3r> -33 and -r < 11
Answer:
-3r < 33, 3r> -33 and -r < 11
Step-by-step explanation:
i just took the test
MATH!!!
if both cylinders have an identical base, and cylinder 1 has a height of 4 inches and a volume of 120 cubic inches, and cylinder 2 has a height of 7 inches, what is the volume of cylinder 2?
Answer:
210 Hope it helps! if you have any other questions I can help
(-3) to the sixth power in exponential form
Answer:
Step-by-step explanation:
A negative number raised to an even exponent gives a positive result so it is the same as 3 raised to 6. That is 3 x 3 x 3 x 3 x 3 x 3 = 729
The (-3) to the sixth power, (-3)⁶, is equal to 729.
To express (-3) to the sixth power in exponential form, we write it as (-3)⁶.
Now, let's calculate (-3)⁶ properly:
(-3)⁶ = (-3) * (-3) * (-3) * (-3) * (-3) * (-3)
Multiplying -3 by itself six times:
(-3) * (-3) * (-3) * (-3) * (-3) * (-3) = 729
Therefore, (-3) to the sixth power, (-3)⁶, is equal to 729.
By raising -3 to the power of 6, we obtain the result of 729.
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what’s the answer ??
Answer:
Step-by-step explanation:
radius r = 10/2 = 5 ft
height h = 5 ft
Volume = πr²h = π(5²)(5) = 125π ≈ 392.7 ft³
Enter the slope of the line through the points (5, 2) and (-3, -7). *
Answer:
m= 9/8
Step-by-step explanation:
(5, 2) and (-3, -7)
Slope:
m=(y2-y1)/(x2-x1)
m=(-7-2)/(-3-5)
m=(-9)/(-8)
m=9/8
Which set of numbers cannot represent the lengths of the sides of a triangle?
1) 7,5,6
2) 7,18,11
3) 6,8,11
4) 9,1219
Answer:
2) 7,18,11Step-by-step explanation:
Triangle inequality:
Sum of side lengths of any two sides must be greater than the third side
7 + 11 = 18, this is the only exceptionOption 2
Answer:
2) 7,18,11
Step-by-step explanation:
Because it is the "Correct Answer"
The height of a can is 3 times its radius. If the radius of the can is 3 centimeters, what is the volume?
Answer:
170 [tex]cent.^{3}[/tex]
Step-by-step explanation:
If the height is 3 times the radius you can find that by: 3r
r = 3.
So: 3 x 3 = 9
The height is 9 centimeters
Volume of a cylinder (can):
[tex]V= 2\pi rh[/tex]
Plug in what we know
[tex]V = 2 \pi (3) (9)\\V = 54\pi \\V = 169.646\\[/tex]
Rounds to: 170
Please someone help me I don’t understand
Answer:
Step-by-step explanation:
Remark
The solution to this is to add the two vertically opposite arcs and take 1/2 of the result to get the intersecting angle of the chords.
Solution
<x = 1/2 (arc measure of 116 + 74)
<x = 1/2 (190)
<x = 95
Someone plz help me lol
Answer:
the correct anwser is b b cause they both are positive y intercepts
Find the slope of the line of best fit shown in the figure
Answer:
Slope of the line of best fit = -0.34868
Step-by-step explanation:
From the figure attached,
Coordinates of the points lying on the given line are (2, 3), (2, 5), (2, 6), (3, 5), (4, 3), (5, 4) and (7, 3)
By using the linear regression calculator,
Equation of the line of best fit → y = -0.34868x + 5.38816
Comparing this equation with, y = mx + b
Slope of the line of best fit → m = -0.34868
Can someone help me pls
Answer:
98 degrees
Step-by-step explanation:
278-82 over 2
196 divided by 2
This will lead to 98, therefor the angle is 98 degrees
John is paid $20 per hour, his boss is giving him a 20% raise. How much will he make per hour after the raise?
Answer:$24
Step-by-step explanation:
100 devided by 20 is 5
20 devided by 5 is 4
20+4=24
How does the cost of shirts compare to the cost of the magnets? *
The cost of the shirts is ____ times as much as the cost of magnets.
Answer:
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Step-by-step explanation:
Answer:
$0.95
Step-by-step explanation:
What is the standard deviation of a normal distribution who meet us 35 in which an X value of 23 has a Z score of -1.63
Answer:
7.362
Step-by-step explanation:
Given :
Mean = 35
Score, x value = 23
Zscore = - 1.63
Recall the Zscore formula :
Zscore = (X - mean) / standard deviation
-1.63 = (23 - 35) / standard deviation
-1.63 = - 12 / standard deviation
standard deviation * - 1.63 = - 12
Divide both sides by - 1.63
Standard deviation = - 12 / - 1.63
Standard deviation = 7.362
A company makes a profit of $2 per software program and $3 per video game. The company can produce at most 40 software programs and at most 15 video games per week. Total production cannot exceed 48 items per week. How many items of each kind should be produced per week in order to maximize the profit?
Use linear programming to solve. Show all your work.
Answer:
reeg
Step-by-step explanation:
What is the rate he charges to mow?
OA. $1.50 per lawn
OB. $60.00 per lawn
OC. $15.00 per lawn
OD. $7.50 per lawn
Can someone help me pls
Answer:
60 degrees
Step-by-step explanation:
set up like 240-120
240-120=120
120 divided by 2 equals 60
therefor, the angle is 60 degrees
NEED HELP ASAP
-8x + 2y
Answer:
-13
Step-by-step explanation:
Answer: 2(-4x+y)
Step-by-step explanation:
rewrite -8 as 4*2
4*2x+2y
factor out the common term (2)
2(-4x+y)