Answer:
"Simplifying rational expressions will make the further calculations easier since the variables to work with will usually be smaller.
To determine that a rational expression is in simplest form we need to make sure that the numerator and the denominator have no common variables."
Step-by-step explanation:
1
0 5 5 8
2
2 5 8
3
5 6
1 | O means 10
Match the stem-and-leaf plot to the correct set of data.
A. 10, 15, 15, 18, 22, 25, 28, 35, 36
B. 0,1,3,5,6,8
C. 1.0, 1.5, 1.5, 1.8, 2.2, 2.5, 2.8, 3.5, 3.6
D. 1.0558, 2.258, 3.56
Answer:
A. 10, 15, 15, 18, 22, 25, 28, 35, 36
Step-by-step explanation:
Stem and leaf plot
1 | 0 5 5 8
2 | 2 5 8
3 | 5 6
Example : 1 | 0 means 10
So, considering the examples :
1 | 0 5 5 8
10,15,15,15,18
2 | 2 5 8
22,25,28
3 | 5 6
35,36
So, the data set is 10,15,15,15,18,22,25,28,35,36
So, Option A is true
What is the volume of a triangular prism that is 6 inches high with a base area of 12 square inches? *Remember: Volume is the area of the base multiplied by the height.
A. 72 in3
B. 60 in3
C. 18 in3
D. 62 in3
Answer:
A. 72
Step-by-step explanation:
Since the volume of a figure is the area of the base multiplied by the height, the volume of this one is 12*6=72 cubic inches, or answer choice A. Hope this helps!
Answer:
A would be the right answer :)
Step-by-step explanation:
Given that the radius of Mars is approximately 3.4 * 10 kilometres (3400 km). Find its
volume to three decimal places.
Answer:
Volume V = 164,636,210,208.924 km^3
Step-by-step explanation:
Volume of a sphere is;
V = (4/3)πr^3
radius r = 3400 km
Volume of mars V = (4/3)π×3400^3
V = 164,636,210,208.924 km^3
Which of the following choices best describes the behavior of the light rays when they pass through the lens:
A)The rays will refract and bend away from each other.
B)The rays will refract and bend toward each other.
C)The rays will move through the lens without changing direction.
D)The rays will bounce off the surface of the lens.
i would C because it the lights didnt bend
it went through
If f (x) = 4x-3, what is f (x)?
Picture is the options
Answer:
I think it is option C, 3-4x
pls help this is due in 20 min pls help.
Answer:
32 2/5
Step-by-step explanation:
Twice of the width is 10 4/5
So 10 4/5 plus 5 2/5 is 16 1/5
Then you add it to 16 1/5 because it is the perimeter and it has the same sides
Answer:
4. [tex]32 \frac{2}{5}[/tex]
Step-by-step explanation:
so the formula for perimeter is l + l + w + w
the width is 5 2/5 and the length is 5 2/5 * 2
that means the length is 10 4/5
so back to the formula [tex]5 \frac{2}{5} + 5 \frac{2}{5} +10 \frac{4}{5} +10 \frac{4}{5}[/tex]
simplified is 10 4/5 + 20 8/5
simplified is 30 12/5
simplified is [tex]32 \frac{2}{5}[/tex]
The smallest number by which 192 should be multiplied to make it a perfect cube is
Answer:
[tex]9[/tex]
Step-by-step explanation:
The prime factorization of [tex]192[/tex] is [tex]2^6 \cdot 3[/tex], and since [tex]2^6[/tex] is already a perfect cube of [tex]4[/tex], we just have to deal with the [tex]3[/tex]. To make it a perfect cube, we have to multiply [tex]3[/tex] three times, and so we have to make it [tex]3 \cdot 3 \cdot 3[/tex], and we already have one three so we just add the other two threes, which equal [tex]3^2=9[/tex].
i need help guys ):
Answer:
It is a dilation. You know because when you see the shapes form left to right, the shape increases in size.
What is the volume of a hemisphere radius of 44.9 m rounded to the nearest 10th of a cubic meter
Answer:
189582.23m^3
Step-by-step explanation:
formula for the volume of a hemisphere=2/3 x pi x r^3
The volume of a hemisphere radius of 44.9 m rounded to the nearest 10th of a cubic meter is 181,037 cubic meters.
How to calculate volume of a hemisphere?We can say that a hemisphere is exactly half of a sphere. The volume of the hemisphere is obtained by Archimedes and is half the volume of a sphere. The volume V of a hemisphere is two-thirds times pi times the radius cubed.
The formula for the volume of a hemisphere is :
[tex]V=2/3 * \pi * r^3\\V= 2/3 (3.14) (44.9)^3\\V= 181,037 m^3[/tex]
See more about volume at brainly.com/question/1578538
#SPJ2
What are the steps to solve 1-3x=4-2x
Combine the like terms. move over the -3x to the right and it’s now 3x and combine it with -2x to get x. Move the 4 over to the left and it becomes -4 and combine it with the 1 to get -3. Then you are left with -3=x
Nina and Jo both ran an 8 km race. Nina took 45 minutes to run the whole race. Jo started the race 4 minutes later than Nina but caught up when they had both travelled 5 km. If Nina and Jo both ran at constant speeds, what is Jo's speed to 2 dp?
Answer:
6.0869 mph
Step-by-step explanation:
Nina:
8 km: 45 mins
Jo:
8 km: 49 mins
Speed = distance / time
Speed= 8 / 49
answer asap please ! ill give brainliest
I don't know, sorry. :(
According to Bayes' Theorem, the probability of event A, given that event B has occurred, is as follows.
Upper P left parenthesis Upper A vertical line Upper B right parenthesis equals StartFraction Upper P left parenthesis Upper A right parenthesis times Upper P left parenthesis Upper B vertical line Upper A right parenthesis Over Upper P left parenthesis Upper A right parenthesis times Upper P left parenthesis Upper B vertical line Upper A right parenthesis plus Upper P left parenthesis Upper A prime right parenthesis times Upper P left parenthesis Upper B vertical line Upper A prime right parenthesis EndFraction
Use Bayes' Theorem to find Upper P left parenthesis Upper A vertical line Upper B right parenthesis using the probabilities shown below.
Upper P left parenthesis Upper A right parenthesis equals one fourth
, Upper P left parenthesis Upper A prime right parenthesis equals three fourths
, Upper P left parenthesis Upper B vertical line Upper A right parenthesis equals one tenth
, and Upper P left parenthesis Upper B vertical line Upper A prime right parenthesis equals one half
Answer:
0.0625
Step-by-step explanation:
Data
P(A) = 1/4P(A') = 3/4P(B|A)= 1/10P(B|A') = 1/2The probability of event A, given that event B has occurred is computed with the following equation:
P(A|B) = [P(A)*P(B|A)]/[P(A)*P(B|A)+P(A')*P(B|A')]
Replacing with data:
P(A|B) = [1/4*1/10]/[1/4*1/10+3/4*1/2] = 0.0625
Answer:5.17%
Step-by-step explanation:
PLS HELP my homework is due tomorrow
Answer:
for 1 its -0.25 and 1.25
for 2 its -0.5. and 1.5
Step-by-step explanation:
idk if there is, but just use the graph + common sense.
you don't need to solve it in any way
2. Janice is buying paint to paint her new apartment. The store sells paint in one-gallon cans. How accurate does her estimate
need to be for the amount of paint needed?
Answer:
its 60-10+x why, because she bought the dress with $60 and she received $10 dollars back. We don't know the variable.
hhhhhhhhhhheeeeeellllllllpppppp
Answer:
9(3+4)
Step-by-step explanation:
27+36
Factor out 9
9*3 + 9*4
9(3+4)
Answer:
9(3+4)
Step-by-step explanation:
First, list all the factors of the two numbers. Factors are numbers that evenly divide into a number.
Factors of 27: 1, 3, 9, 27
Factors of 36: 1, 2, 3, 4, 6, 9, 12, 18, 36
Now, find the GCF. The GCF is the largest factor both numbers share. In this case, the GCF is 9.
Now, find the equivalent expression.
27+36
Distribute out a 9. Divide both numbers inside the parentheses by 9.
9(27/9+36/9)
9(3+4)
Translate the following sentence into an equation. Five times a number less than eighteen is equal to thirteen.
Answer:
5(n<18)=13
Step-by-step explanation:
Five times a number less than eighteen is equal to thirteen
5 (n < 18 = 13
The shortest route from London to Liverpool is 210 miles. A lorry is expected to take 3.5 hours to travel this route. The lorry actually travels by a different route which increases the distance by 20%, but it still arrives in 3.5 hours. By how many more mph than the expected speed does the lorry travel?
Answer:
72 mph
Step-by-step explanation:
Please give brainliest
You have distance =210 miles
Increase it by 20%
210+(210*0.2) = 252 miles I wrote 0.2 instead of writing 20%/100% hope you understand.
The new route is 252 miles
Time travelled = 3.5 hours
Speed=distance/time
Speed = 252/3.5 = 72 mph
Which equation represents the line that is parallel to 5x + y = 13 and
passes through the point (15, - 31)?
Answer:
y=-5x+44
Step-by-step explanation:
Please help! I don’t understand
the correct answer is B
The answer is definitely B
16
h(x)=−(x−2)
2
+16
Answer: -24
Step-by-step explanation:
Write an absolute value expression to represent the distance between -1 and -6 on a number line. then evaluate the expression.
Answer:
5.
Step-by-step explanation:
That would be |-1 - (-6)|
= |-5|
= 5.
Without graphing, determine whether the equation has a graph that is symmetric with
respect to the x-axis, the y-axis, the origin, or none of these.
y=x2 +8
Choose the correct answer below.
X-axis
y-axis
origin
none of these
Answer:
girl
Step-by-step explanation:
What in the world 3000%
hich equations are equivalent to y = two-thirds x minus 4 when written in slope-intercept form? Check all that apply. 3 x minus 2 y = 4 2 x minus 3 y = 12 Negative 4 (2 x minus 3 y) = negative 4 (12) 2 (x + 6) = 3 y 2 x minus 3 y = 4
Answer:
[tex]2x - 3y = 12[/tex]
[tex]-4(2x - 3y) = -4(12)[/tex]
Step-by-step explanation:
Given
[tex]y = \frac{2}{3}x - 4[/tex]
Required
Equivalents of the given equation;
We start by multiply both sides of the equation by 3
[tex]3* y = 3(\frac{2}{3}x - 4)[/tex]
[tex]3y = 3 * \frac{2}{3}x - 3 * 4[/tex]
[tex]3y = 2x - 12[/tex] ---- Equation 1
Subtract 3y from both sides
[tex]-3y + 3y = 2x - 12 - 3y[/tex]
[tex]0 = 2x - 12 - 3y[/tex]
Add 12 to both sides
[tex]12 + 0 = 2x - 12 - 3y + 12[/tex]
[tex]12 = 2x - 3y[/tex]
Rearrange:
[tex]2x - 3y = 12[/tex] ---- This is equivalent to the given equation;
Multiply both sides of the above equation by -4
[tex]2x - 3y = 12[/tex]
[tex]-4(2x - 3y) = -4(12)[/tex] ---- This is also equivalent to the given equation;
From the list of given options, only these two are equivalent to [tex]y = \frac{2}{3}x - 4[/tex]
Answer:
Answer:
Step-by-step explanation:
Given
Required
Equivalents of the given equation;
We start by multiply both sides of the equation by 3
---- Equation 1
Subtract 3y from both sides
Add 12 to both sides
Rearrange:
---- This is equivalent to the given equation;
Multiply both sides of the above equation by -4
---- This is also equivalent to the given equation;
From the list of given options, only these two are equivalent to
Step-by-step explanation:
A recipe calls for 2/3 cup of milk. If you make 3 1/2 times the recipe, how much milk do you need? Please help!! From, Kweenie.
Answer:
1 time = 2/3 cups
3 1/2 times = 2/3 × 3 1/2
= 7/3 cups of milk
Answer:
2 1/3 cups
Step-by-step explanation:
2/3 x 3.5 = 2.33333
Mrs. Smith decides to build her own vegetable garden. She goes to Home Depot and buys material to
build beds for the vegetables she'll grow. The beds are big wooden boxes. Each bed is 10 feet long, 5 feet
wide, and 1 % feet tall. She builds 4 beds for her vegetable garden and fills each bed with dirt. The bags
of dirt each contain 1.5 ft of dirt. How many bags of soil did Mrs. Smith buy to fill all 4 beds?
Answer: 4 bags
Step-by-step explanation: since the height of the wooden boxes are 1.5 feet tall and they need the box to be full it will be 4 bags. Also because each bag contains 1.5 feet of dirt and that’s the exact amount we need for one box.
Need help ASAP
How to check that a trinomial is a perfect square ?
Answer:
Step-by-step explanation:
multiply the two square roots together and then by two. You should get the positive or negative version of the other term. Once again, if this is not the case, you do not have a perfect square trinomial. For example, in the trinomial x2 - 12x + 36, both x2 and 36 are perfect squares.
I need help please, I will give whoever answers this gets brainliest
Hey!!
H (2,1),(4,3),(6,5),(2,7) is not a function.
please see the attached picture
Hope it helps
Good luck on your assignment
Im having trouble on these ones. Can someone help>
Answer:
9. 40°
10. 50°
11. 270°
12. 310°
Step-by-step explanation:
m∠BPC = 40° because it is complementary to ∠APB, which is 50°.
Arc AB is 50° because it will be equal to the central angle, which is 50°.
Arc ADC is 270° because it will be equal to the central angle, which is 270°.
Arc ADB is 310° because it will be equal to the central angle, also 310°.
If cos 67 degrees is close to 2/5 which is closest to the length of no
PO=100cm
P=23 degrees
Answer: Sin 23 = 2/5
Step-by-step explanation:
If cos 67 degrees is close to 2/5. That is, approximately,
Cos 67 = 2/5
Multiply the numerator and the denominator by 50
Cos 67 = 100/250
From trigonometry ratio,
Cos Ø = adjacent/hypothenus
Where the
Adjacent length = 100 cm
Hypothenus length = 250 cm
Po = opposite length = 100cm
If the degree = 23
The closest length will be
Sin Ø = Opposite/ hypothenus
Sin 23 = 100/250
Divide both the numerator and the denominator by 50
Sin 23 = 2/5
Answer:
40 cm
Step-by-step explanation: