The maximum capacity of a container which can measure the kerosene oil of both the tankers when used an exact number of times is 170 Litres.
Amount of kerosene in first tanker = 850 litres
Amount of kerosene in Second tanker = 680 litres
The maximum capacity of a container which can measure the kerosene oil of both the tankers when used an exact number of times will be the HCF of amount of kerosene in first tanker and amount of kerosene in second tanker i.e., HCF of 850 litres and 680 litres.
To calculate HCF of 850 and 680 , we can write
850 = 2 × 5 × 5 × 17
680 = 2 × 2 × 2 × 5 × 17
HCF of 850 and 680 = 2 × 5 × 17 = 170
The maximum capacity of a container which can measure the kerosene oil of both the tankers when used an exact number of times is 170 Litres.
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What is the value of x?
(x+4)=-6
O x = 35
O x = -25
O x = 25
Ox=35
Answer:
Step-by-step explanation:
(x+4) = -6
x + 4 + 6 = -6 + 6
x = 10
a function is decreasing on an interval if the output values decrease as the input values decrease
true or false?
The statement that a function is decreasing on an interval if the output values decrease as the input values decrease is FALSE.
What is a decreasing function?A decreasing function refers to a function where the value of the output moves in a different direction from the value of the input.
For instance, in a decreasing function, the value of the output would decrease when the value of the input increases.
In conclusion, it is false that a function is decreasing if the output and the input are both decreasing.
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A lighthouse casts a revolving beam of light as far as the pier. what is the area that the light covers?
the area covered by the light of the lighthouse is given by: A = πx²
What is a circle?All points in a plane that are at a specific distance from a specific point, the center, form a circle. In other words, it is the curve that a moving point in a plane draws to keep its distance from a specific point constant.
Area of a circle having r as radius = πr²
Given: The revolving light beam that extends to the pier.
Let the distance to the pier x.
Typically, the rotating beam rotates 360 degrees.
Therefore, Its motion is circular.
The mathematical formula for the area that the light covers is: A = πx²
Hence, the area covered by the light of the lighthouse is given by: A = πx²
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Sasha purchased a pair of jeans for 40% off of $75. How much did she pay for the jeans
Answer:
$45
Step-by-step explanation:
100% = $75
100% - 40% = 60% (discounted price)
60% = 0.6
0.6 x 75 = 45
60% = $45 (discounted price)
Solve following proportion. 5/ 8 = y/3
Step-by-step explanation:
5/8 = y/3
(5/8) times 3 = 15/8
y=15/8
or
y = 1 and 7 over 8
or y = 1.875
please help step by step -8n +3 +n + 11
Answer: −8n+3+n+11
Add the terms
−7n+3+11
Solution
−7n+14
Step-by-step explanation: hope this helps
Pls pls help whoever gets it right gets a crown
Find the product and show your solution.
1. (x+9) (x²-9x+81)=
2. (y²-7) (y⁴-7y²+49)=
3. (x²-5) (x⁴+5x²+25)=
4. (8x-9y) (64x²+72xy+81y²)=
5. (10m-11) (100m²+110m+121)=
The solution to the expansion of each polynomial is;
1. (x + 9)(x² - 9x + 81) = x³ + 729
2. (y² - 7)(y⁴ - 7y² + 49) = y⁶ − 14y⁴ + 98y² - 343
3. (x² - 5)(x⁴ + 5x² + 25) = x⁶ - 125
4. (8x - 9y)(64x² + 72xy + 81y²) = 512x³ - 729y³
5. (10m - 11) (100m² + 110m + 121) = 1000m³ - 1331
How to expand polynomials?
1) We want to expand the polynomial;
(x + 9)(x² - 9x + 81)
= x³ + 729
2) We want to expand the polynomial;
(y² - 7)(y⁴ - 7y² + 49)
Multiplying out gives;
y⁶ −7y⁴ + 49y² −7y⁴ + 49y² - 343
Combining like terms gives;
y⁶ − 14y⁴ + 98y² - 343
3) We want to expand the polynomial;
(x² - 5)(x⁴ + 5x² + 25)
Multiplying out gives;
x⁶ - 125
4) We want to expand the polynomial;
(8x - 9y)(64x² + 72xy + 81y²)
Multiplying out gives;
512x³ - 729y³
5) We want to expand the polynomial;
(10m - 11)(100m² + 110m + 121)
Multiplying out gives;
1000m³ - 1331
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Match each pair of angle measures of a triangle with the remaining angle measure.
16 degrees and 102 degrees
38 degrees
119 degrees and 23 degrees
28 degrees and 87 degrees
96 degrees and 51 degrees
수
↑
33 degrees
62 degrees
65 degrees
The third angle of 16 degrees and 102 degrees is 62 degrees.
The third angle of 119 degrees and 23 degrees is 38 degrees.
The third angle of 28 degrees and 87 degrees is 65 degrees.
The third angle of 96 degrees and 51 degrees is 33 degrees.
What is the third angle?A triangle is a three-sided polygon with three edges and three vertices. the sum of angles in a triangle is 180 degrees
In order to determine the missing angle, subtract the sum of the two given angles from 180.
180 - (16 + 102) = 62
180 - (119 + 23) = 38
180 - (28 + 87) = 65
180 - (96 + 51) = 33
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Someone help please
a
Answer:
see explanation
Step-by-step explanation:
f(x) × g(x)
= 3x(4x - 1) ← distribute parenthesis by 3x
= 12x² - 3x
when x = 1 , then
= 12(1)² - 3(1) = 12(1) - 3 = 12 - 3 = 9
ayuda mañana tengo examen y nesesito saber cuanto es 4 dividido entre 0.93
[tex]\displaystyle\\Answer: \frac{400}{93}\approx4.3[/tex]
Step-by-step explanation:
[tex]\displaystyle\\4:0.93=\\\\\frac{4}{0.93 }=\\\\\frac{4}{\frac{93}{100} } \\\\\frac{4*100}{93} \\\\\frac{400}{93} \approx\\\\4.3[/tex]
100 PTS!! Answer for alg 2a (U3 L10) unit test
1. Which set of ordered pairs in the form of (x, y) does not represent a function of x?
{(0, 2), (1, –1), (2, 3), (3, –2)}
{(0, –2), (1, 1), (2, 3), (3, –2)}
{(0, 2), (–1, –1), (2, –3), (3, 2)}
{(0, 2), (1, 2), (1, –2), (3, 2)}
2.What is (are) the x-intercept(s) of the function graphed above?
0 only
–3, 0, and 4
–4, 0, and 3
–12.5 and 21
3. What is f(–5) if f(x) = |2x – 1| + 10?
21
19
–1
–21
4. Which does not describe the same situation?
(A) y = 3x + 5
(B) x –3 1 4
y –4 8 17
(C) graph
(D) y is five more than three times x.
5. What is an equation of the line in slope-intercept form?
m = 2 and the y-intercept is (0, 3)
y = 3x + 3
y = 2x + 3
y = 2x – 3
y = –3x + 2
Answer if you know the answers and the rest of the answers as well. (19 question test)
Answer:
Step-by-step explanation:
{(0, 2), (1, –1), (2, 3), (3, –2)}
Answer:basically, x never reats with a different y
(x,y)
A is a fn of x since x never repeats
B is a fn of x since x never repeats
C is a fn of x since x never repeats
D is not since we have (1,2) and (1,-2) so this is the answer
Step-by-step explanation:
What is the nth term of 8-n
Answer:
-1
Step-by-step explanation:
Tn = a+(n-1)d (general formula)
Tn = 8-n (given formula)
T9 =8-9
T9=-1
Which symbol will make the statement true?
Answer:
∉
Step-by-step explanation:
10 is not a member of the set {6, 8, 13, 14} and ∉ is used to represent "not a member of"
Answer:
B ( if you talking about Mathematics enhancement )
Step-by-step explanation:
First one make the statement true but ( 6, 8, 13 ,14 ) didn't related to 10 According to a pattern
Based on the lesson, identify the first operation needed to solve the following equation.
x/3 - 3 = 11
multiplication
division
subtraction
addition
What is the slope of the line that passes through the points (-9, 0) and (−17,4)? Write your answer in simplest form.
The slope of the line that passes through the points (-9, 0) and (−17,4) is -2
What is a good example of a line's slope?The slope-intercept form of an equation is used whenever the equation of a line is expressed in the form y = mx + b. M represents the line's slope. B is the b in the location where the y-intercept is located (0, b). For instance, the slope and y-intercept of the equation y = 3x - 7 are 3 and 0, respectively.
The formula to calculate slope is -
m = x2 - x1 / y2 - y1
(-9, 0) and (−17,4)
m = -17 + 9 / 4 - 0
m = -8/4
m = -2
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9 A and B are integers. A = 300,000 to the nearest 100,000 B = 300,000 to the nearest 10,000 a) What is the greatest possible value of A + B? b) What is the smallest possible value of A + B? c) What is the greatest possible value of A - B?
The greatest possible value of A + B is 600000.
The smallest possible value of A + B is 600000.
The greatest possible value of A - B is 0.
How to illustrate the information?It should be noted that from the information, A and B are integers.
A = 300,000 to the nearest 100,000
B = 300,000 to the nearest 10,000
Therefore, the greatest possible value of A + B will be:
= 300,000 + 300,000
= 600000.
The smallest possible value of A + B is also, 600000.
The greatest possible value of A - B will be:
= 300,000 - 300,000
= 0.
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Cookies are sold in the lunchroom for $2. Ana wants to buy cookies for a group of her friends. If she has $20, write an inequality to show the number of cookies cc she can buy. Use the variable c.
Answer: she could buy 10 cookies.
Step-by-step explanation:
In order to figure out how many cookies she can buy just do 20÷2.
help would be very appreciated
Answer:
g(-6) = -6
g(0) = 5
g(7) = 8
h(-6) = 10
h(0) = -1
h(7) = -4
Step-by-step explanation:
g(x) = (1/3) f(x)
g(-6) = (1/3)(-18) = -6
g(0) = (1/3)(15) = 5
g(7) = (1/3) (24) = 8
h(x) = -g (x) + 4
h(-6) = -(-6) + 4 = 10
h(0) = -(5) + 4 = -1
h(7) = -(8) + 4 = -4
I hope this helps!
The ratio of students who made
only 30 students are in
kindergarten. What is the ratio
of grade 1 students to
kindergarten students?
If f(x) = -x³, g(x) = 3x² - 1, and h(x) = 2x + 5, what is the degree of [f o go h](x)?
2356
The degree of the polynomial formed is 6.
The degree of a polynomial is the highest degree of the variables present with non-zero coefficients.
For example the polynomial has three 7x³y²+9xy+4 terms. The first term has a degree of 5 (the sum of the powers 2 and 3), the second term has a degree of 1, and the last term has a degree of 0. Therefore, the polynomial has a degree of 5, which is the highest degree of any term.
Now the given functions are:
[tex]f(x)=x^3[/tex] ,g(x)=3x²-1 and h(x)=2x
Now we have to find (f ° g° h)(x). Let us first find (g°h)(x).
(g°h)(x) is equal to g[h(x)]
=g[2x+5]
=3(2x+5)²-1
=3(4x²+20x+25)-1
=12x²+60x+74
Now we find (f ° g° h)(x)
(f ° g° h)(x)=f[g(2x+5)]
f[g(2x+5)]=f(12x²+60x+74)
f(12x²+60x+74)=(12x²+60x+74)³
Now we have to simplify the expression:
(12x²+60x+74)³
=[tex]1728x^6+25920x^5+161568x^4+535680x^3+996336x^2+985680x+405224[/tex]
The largest degree of the variable x in the polynomial is 6.
hence the degree of [f o go h](x) is 6.
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A sled team consists of 11 dogs and the musher. each dog weighs 70 pounds and the musher weighs 160 pounds. what is the average weight of the sled team members?
Answer:
C. 73.5lbs
Step-by-step explanation:
Write a quadratic function to model the graph to the right.
f(x)
The quadratic equation to model the graph is y = x² - 6 · x + 14.
How to derive the expression of a quadratic equation from a graph
The picture presents us the graph of a parabola, whose algebraic expression is a quadratic equation. In accordance with fundamental theorem of algebra, a quadratic equation can be derived by knowing three distinct points on Cartesian plane.
If we know that (x, y) = (0, 14), (x, y) = (3, 5) and (x, y) = (6, 14), then the coefficients of the quadratic equation in standard form:
14 = c (1)
5 = 9 · a + 3 · b + c (2)
14 = 36 · a + 6 · b + c (3)
The solution of the system of linear equations is (a, b, c) = (1, - 6, 14). Hence, the quadratic equation to model the graph is y = x² - 6 · x + 14.
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Can you solve please 8=2k-8-6k
Answer:
k = -4
Step-by-step explanation:
8 = 2k - 8 - 6k
Collect like terms
8 = -4k - 8
Add 4k to both sides (nice to have variable on left, constants on right)
8 + 4k = -8
Subtract 8 from both sides
4k = -16
Divide both sides by 4
k = -4
a weding planner rented 13 tables and 104 chairs for an up coming wedding. What is the chair to table ratio?
Answer: 1:8
Step-by-step explanation:
13 tables
104 chairs
Ratio: 13:104
divide both sides by 13
13:104 = 1:8
find the smaller angle given the following: the angles are supplementary. the smaller angle is equal to 1⁄4 of the larger angle.
Thus, 36° is the smaller angle and 144° is the greater angle.
What is an supplementary angel?For instance, the complement angle of 130° and the angle of 50° is 180°. Complementary angles add up to 90 degrees. When the two extra angles are combined, they create a straight line and an angle. The two angles that complement one another do not necessarily need to be close to one another, it should be emphasised. As a result, two angles may be supplementary if their sum is 180 degrees. The study of various shapes is one of the main areas of mathematics.
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m= ???
find the missing length m
Answer:
5
Step-by-step explanation:
4 + −1 2/3= i have no clue, send help asap.......
Answer:
2 1/3 :)
Step-by-step explanation:
Write the rational numbers as a decimal:
7/8
1/1
-7/9
-17/40
1 and 5/6
-2 and 17/18
-5 and 7/12
8 and 15/22
Answer:
7.8
-7.9
-17.40
1. 5.6
-2. 17.18
-5. 7.12
.8 15.22
Step-by-step explanation:
please help with this qestion, I just need the answer in numbers
Answer:
Step-by-step explanation:
All that is needed here is the difference[tex]=0,738-0,585\\=0,153\\[/tex]Answer:
0.153 or 15.3%
Step-by-step explanation:
Subtract save percentage last season from save percentage this season:
0.738 - 0.585 = 0.153
Convert the decimal answer to a percent
0.153 x 100% = 15.3%