Answer:
The Answer Is That "The Greatest Common Factor Of The Terms Is 1."
Step-by-step explanation:
Took The Test.
The polynomial is factorized and greatest common factor of the terms is 1
What is Factorizing?Brackets should be expanded in the following ways to factorize an expression
For an expression of the form A = a ( b + c ) , the expanded version is given by A = ab + ac, i.e., multiply the term outside the bracket by everything inside the bracket
For an expression of the form A = ( a + b ) ( c + d ) , the expanded version is given by A = ac + ad + bc + bd, in other words everything in the first bracket should be multiplied by everything in the second.
Given data ,
Let the polynomial be represented as A
Now , the value of A is
A = 30x² + 40xy + 51y² be equation (1)
Now , the expression can be factorized as
The factors of 30 = 1 , 2 , 3 , 5 , 6 , 15 and 30
The factors of 40 = 1 , 2 , 4 , 5 , 8 , 10 , 20 and 40
The factors of 51 = 1 , 17 , 51
Therefore , the greatest common factor is 1
Hence , the factorized form of the equation is A = 30x² + 40xy + 51y²
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Identify the following as a radius or diameter and its length. segment EB
Given:
The diagram of a circle.
To find:
The radius or diameter and its length, segment EB.
Solution:
If a line segment connects the center of a circle and a point on the circumference of the circle, then the line segment is known as radius.
In the given figure A is the center of the circle and points B, C, E, D are on the circumference of the circle.
So, AB, AC, AE, AD are radii of the given circle.
[tex]AB=AC=AE=AD=4\text{ cm}[/tex]
If a line segment connects two points on the circumference and passes through the center of the circle, then the line segment is known as diameter of the circle.
In the given figure B and E are two points on the circumference of the circle and the segment BE passes through the center A. So, BE is the diameter of the circle.
Length of the diameter is:
[tex]EB=AE+AB[/tex]
[tex]BE=4+4[/tex]
[tex]BE=8[/tex]
Therefore, the segment EB is a diameter and length of the segment EB is 8 cm.
What is the volume of a sphere with a radius of 6.6 cm, rounded to the nearest tenth of a cubic centimeter?
Volume is a three-dimensional scalar quantity. The volume of a sphere with a radius of 6.6 cm, rounded to the nearest tenth of a cubic centimeter is 1204.3.
What is volume?A volume is a scalar number that expresses the amount of three-dimensional space enclosed by a closed surface.
The volume of a sphere is given by the formula (4/3)πR³, where R is the radius of the circle. Since the radius of the sphere is 6.6 cm, the volume of the sphere will be,
Volume of Sphere = (4/3) × π × (6.6cm)³ = 1204.26 cm³ ≈ 1204.3³
Hence, the volume of a sphere with a radius of 6.6 cm, rounded to the nearest tenth of a cubic centimeter is 1204.3.
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What is the slope of line 3x - y = 18
Answer:
ok do 3 times whatever to make 18 so the answer is probly 6y
Step-by-step explanation:
In order to add 1 ⁄ 4 and 2 ⁄ 5, the denominators have to be the same. This means multiplying both the numerator and denominator of each fraction by the opposite fraction's denominator.
1 ⁄ 4 + 2 ⁄ 5
( 1 ⁄ 4 × 5 ⁄ 5 ) + ( 2 ⁄ 5 × 4 ⁄ 4 )
(1 × 5)/(4 × 5) + (2 × 4)/(5 × 4)
5 ⁄ 20 + 8 ⁄ 20 = 13 ⁄ 20
1/3 + 3/8 =
Answer:
1/3 + 3/8 = 17/24
Step-by-step explanation:
LCD is 24
3*8 = 24
8*3 = 24
3/24 + 9/24 = 17/24
a dog is leashed to the corner of a house. how much running area does the dog have? 40 ft
Answer:
5027.2ft^2
Step-by-step explanation:
Given data
Radius= 40ft
The expression for the area covered is given as
A= πr^2
Substitute
A= 3.142*40^2
A=3.142*1600
A=5027.2ft^2
Hence the area covered is 5027.2ft^2
how do you use change of base formula
Answer:
According to the change-of-base formula, we can rewrite the log base 2 as a logarithm of any other base. Since our calculators can evaluate the natural log, we might choose to use the natural logarithm, which is the log base e.
Step-by-step explanation:
Question 8 of 10
In a normal distribution, what percentage of the data falls within 3 standard
deviations of the mean?
O A. 34%
O B. 68%
O c. 99.7%
O D. 95%
Using the Empirical Rule, it is found that the percentage within 3 standard deviations of the mean in the Normal distribution is given by:
c. 99.7%.
What does the Empirical Rule state?It states that, for a normally distributed random variable:
Approximately 68% of the measures are within 1 standard deviation of the mean.Approximately 95% of the measures are within 2 standard deviations of the mean.Approximately 99.7% of the measures are within 3 standard deviations of the mean.Hence, option C is correct.
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Find the measures of an exterior angle and an interior angle given the number of sides of each regular polygon.
Round to the nearest tenth, if necessary.
Answer:
[tex]\theta = 25.7^\circ[/tex] --- Measure of each exterior angle
[tex]\theta = 154.3^\circ[/tex] --- Measure of each interior angle
Step-by-step explanation:
Given [Missing from the question]
[tex]n = 14[/tex] --- number of sides
Required
- The measure of an exterior angle
- The measure of an interior angle
For an n-sided polygon, the measure of each exterior angle is:
[tex]\theta = \frac{360}{n}[/tex]
Substitute 14 for n
[tex]\theta = \frac{360}{14}[/tex]
[tex]\theta = 25.7^\circ[/tex]
For an n-sided polygon, the measure of each interior angle is:
[tex]\theta = \frac{(n - 2) * 180}{n}[/tex]
Substitute 14 for n
[tex]\theta = \frac{(14 - 2) * 180}{14}[/tex]
[tex]\theta = \frac{12 * 180}{14}[/tex]
[tex]\theta = \frac{2160}{14}[/tex]
[tex]\theta = 154.3^\circ[/tex]
ASAP
-will mark brianist
Answer:
20-12
35-21
40-24
Step-by-step explanation:
You times both numbers by the same value
Answer:
1st is 12
2nd is 35
3rd is 40
Step-by-step explanation:
Billy worked for 38 hours last week. His boss gave him $361 for his work
last week. Write AND solve a multiplication equation to find how much
money Billy makes per hour of work.
Ayúdeme es urgente .por favor
Can someone please help me with math.
7/9
×
3/7
just need help
Answer:
Let me hep you then :)
Step-by-step explanation:
7/9 x 3/7 = 1/3 or 0.3
Have a nice day <3
Answer:
Fraction Form = 1/3
Decimal Form= 0.3 repeating or just 0.3
Step-by-step explanation:
Heres a free Quote for you- “Believe you can and you're halfway there.”
In the diagram below of triangle NOPNOP, QQ is the midpoint of \overline{NP}
NP
and RR is the midpoint of \overline{OP}
OP
. If m\angle PON=-5x+171∠PON=−5x+171, and m\angle PRQ=-9x+207∠PRQ=−9x+207, what is the measure of \angle PON∠PON?
N
Answer:
126 degrees
Step-by-step explanation:
A group of students stood in a circle to play a
game. The circle had a diameter of 22 meters.
Which measurement is closest to the area of the
circle in meters ?
Answer: Choice C) 379.94 square meters
=========================================================
Work Shown:
Diameter = 22 meters
Radius = 11 meters (half the diameter)
We'll plug r = 11 into the formula below
A = pi*r^2
A = 3.14*11^2
A = 379.94
This value is approximate since pi = 3.14 is approximate. Use more decimal digits of pi to get a more accurate area value.
Jade buys a blouse and a skirt for 3/6 of their original price. Jade pays a total of $31 for the two items. If the original price of the blouse is $18, what is the original price of the skirt? Write an equation to represent the situation and use the Distributive Property to solve
Answer:
3/4 times 18= 13.5
31.5-13.5=18
It cost 18 dollars for the skirt with a discount.
It cost 13.5 for the blouse as opposed to the original price of 18 dollars.
18(skirt)+13.5(blouse)=31.5
If you set up a proportion to find the original price of the skirt you will get the answer.
18/x=75/100
75x=18 times 100
75x=1800
75x/75=1800/75
x=24
The original price of the skirt is 24 dollars.
Step-by-step explanation:
In how many ways can 12 math students be seated at a round table?
A. 479,001,600
B. 39,916,800
C. 144
Answer:
479,001,600
Step-by-step explanation:
The first seat could be any of the 12
the second seat could be any of the remaining 11
and so on
12!
12 * 11 * 10 * 9 * 8 * 7 * 6 * 5 * 4 * 3 * 2 * 1
479,001,600
how would u read the expression 2*3
8g - 24d please help!
Answer:
-16
Step-by-step explanation:
Select the correct answer. Each of the four angles of a quadrilateral measures 90°. How many rectangles can you construct using this condition? A. 0 B. 1 C. 2 D. 4 E. infinitely many
Answer:
2
Step-by-step explanation:
PLEASE HELP!
What is the equation of the directrix
for the following parabola:
(x - 1)^2 = 12(y + 2)
A. Y = -5
B. X = -5
C. y = -3
D. y = -12
Answer:
y=-5
Step-by-step explanation:
Inverse Functions, graphs
Answer:
a.
inverse
of
(0,1)=(1,0)
(1,0)=(0,1)
(2,-1)=(-1,2)
(3,0)=(0,3)
(4,1)=(1,4)
Step-by-step explanation:
b.
yes the function are inverse
as
(-1,2)=(2,-1)
(0,1)=(1,0)
Take any one point .
(-2,-1)For inverse
(x,y) should be (y,-x)
Apply
(-(-2),-1)(-1,2)Yes the functions are inverses of each other
The two-way frequency table below shows data on mindset and attendance at practice for students in Mateus's study.
Complete the following two-way table of column relative frequencies.
(If necessary, round your answers to the nearest hundredth.)
Growth mindset Fixed mindset
Attended every practice 28 12
Missed at least 1 practice 9 58
Answer:
First table
28 + 9 = 37
12 + 58 = 70
Answer table
28/37 = 0.76
12/70 = 0.17
9/37 = 0.24
58/70 = 0:83
Step-by-step explanation:
if 5/7y=105,what is the value of y
Answer:
look at the picture i sent......
3. For g(x)=5 and h(x)=2x, find lim (g(x)*h(x))
4. Find G(x)= X-10 And H(x)= 2x, Find ) G(x) = X-10 H(x) = 2x, Lim Lim C-3 C-2 2
Answer:
3. B 10a
4. D 3
Step-by-step explanation:
the value of function lim (g(x)*h(x)) will be 10 a.
What is Function?A relation between a collection of inputs and outputs is known as a function. A function is, to put it simply, a relationship between inputs in which each input is connected to precisely one output. Each function has a range, codomain, and domain.
Given, For g(x)=5 and h(x)=2x
[tex]\lim_{x \to \ a }(g(x)*h(x))[/tex]
=> lim (5 * 2x)
=> lim 10x
=> 10a
for G(x)= X-10 And H(x)= 2x,
g(x)/ h(x) = (x - 10)/2x
[tex]\lim_{x \to \ -2} g(x)/ h(x)[/tex]
=> (-2- 10)/-4
=> 3
therefore, the value of function lim (g(x)*h(x)) will be 10 a.
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What are factors of 72 that add to be -18?
Answer:
-12 and -6
Step-by-step explanation:
Which angles are supplementary angles?
Answer:
Supplementary angles are two angles with a sum of 18 0 ∘ 180 ^\circ 180∘ . A common case is when they lie on the same side of a straight line.
Answer - KJM and KJH
If i'm wrong please tell me
The three lines represent the amount of water, over time, in three tanks that are the same size. Which tank is filling most quickly? Choose 1 answer
Tank A
Tank B
Tank C
Answer:
Tank A
Step-by-step explanation:
If the lines goes accross each tank the first tank would fill up first then the next one and it keeps going.
Hope this helps!
Answer:
Tank A
Step-by-step explanation:
The tank that fills fastest will have the steepest line graphed. The steepest line is the graph for Tank A. Tank A fills the most in the least amount of time, so this is the answer.
I hope this helps :) Good luck ^^
A rocket is launched from a tower. The height of the rocket, y in feet, is related to the time after launch, x in seconds, by the given equation. Using this equation, find out the time at which the rocket will reach its max, to the nearest 100th of a second.
y=-16x^2+174x+78
equation
Answer:
551.06feet
Step-by-step explanation:
Given the equation
y=-16x^2+174x+78
At maximum height, dy/dx = 0
dy/dx = -32x + 174
0 = -32x+174
32x = 174
x = 174/32
x = 5.4375
GEt the maximum height
y=-16x^2+174x+78
y=-16(5.4375)^2+174(5.4375)+78
y = -473.0625 + 946.125 + 78
y = 551.0625
Hence the maximum height is 551.06feet to the nearest hundredth
The temperature in Michigan one night was -12°F. By
morning the temperature rose 8°F. What was the
temperature that morning?
Answer:
-4 degrees F
Step-by-step explanation: So the temperature was -12F add 8F that gets you to -4F. It rose 8F.