1. [4 marks] Every morning, a boy scout raises a flag with a mass of 1.5 kg to the top of a 15.0 m
flagpole. How much work is done by the scout?
Answer:
work = force * distance
soo...
Step-by-step explanation:
force = mass * gravity
(1.5 kg )*(9.8 m/[tex]s^{2}[/tex]) = 14.7 kgm/[tex]s^{2}[/tex] or Newtons
W = 14.7 N * 15 m = 220.5 Nm and since 1 N = 1 Joule
we say 220.5 Joule
220.5 J :)
Does the following table show a proportional relationship between the variables x and y?
Answer: yes it is proportional
Step-by-step explanation:
I did it on khan
Determine if the expression 9x^-2 is a polynomial or not. If it is a polynomial, state
the type and degree of the polynomial.
Answer:
9x⁻² is not a polynomial
Step-by-step explanation:
A polynomial function is a function that involves non-negative integer powers of x such as a quadratic, cubic etc.
A polynomial is a function written in the form of ;
f{x} =aₙxⁿ+aₙ₋₁xⁿ⁻¹+-------+a₂x²+a₁x+a₀
The degree of a polynomial is the highest power of x in the expression
9x⁻² ----in this case, the power is negative thus this is not a polynomial.
Answer:
Not a polynomial
Step-by-step explanation:
What are the the example of a linear pair
Answer:
A linear pair is a adjacent angles formed when two lines
interset.
Which polynomial function f(x) has a leading coefficient of 1, roots4, 2, and 9 with multiplicity 1, and root-5 with
multiplicity 3?
Answer:
[tex]x^6-88x^4-142x^3+1695x^2+2350x-9000[/tex]
Step-by-step explanation:
In order to solve this function, we must first start by writting the factors of the polynomial. We can do so by including the given zeros, and the leading coefficient. So we get:
[tex]f(x)=1(x-4)(x-2)(x-9)(x+5)^{3}[/tex]
and now we can expand this by multiplying the given parenthesis, so we get:
[tex]f(x)=(x^2-2x-4x+8)(x-9)(x^3+3(5)x^{2}+3(25)x+125)[/tex]
[tex]f(x)=(x^2-6x+8)(x-9)(x^3+15x^{2}+75x+125)[/tex]
[tex]f(x)=(x^3-9x^2-6x^2+54x+8x-72)(x^3+15x^{2}+75x+125)[/tex]
[tex]f(x)=(x^3-15x^2+62x-72)(x^3+15x^{2}+75x+125)[/tex]
[tex]f(x)=x^6+15x^5+75x^4+125x^3-15x^5-225x^4-1125x^3-1875x^2+62x^4+930x^3+4650x^2+7750x-72x^3-1080x^2-5400x-9000[/tex]
we combine like terms so we get:
[tex]x^6-88x^4-142x^3+1695x^2+2350x-9000[/tex]
Bir satıcı sattığı her üründen satış fiyatının 2/9'u kadar kar etmektedir. Bu satıcı 1800 liraya sattığı bir televizyondan kaç lira kar elde etmiştir?
Answer:
400 lira
Step-by-step explanation:
Yukarıdaki sorudan şunu söyleriz: Bir satıcı, sattığı her ürün için satış fiyatının 2 / 9'u kadar kar eder.
Dolayısıyla 1800 liraya televizyon satarsa o televizyondan elde ettiği kâr şöyle hesaplanır:
2/9 × 1800 lira
= 400 lira
I need help thank you
Answer:
c)
Step-by-step explanation:
x - 2 ---------------> members in the band with the absentees.
So, x will give the number of members in the band
Cesar is getting balloons for his mother's birthday party. He wants each balloon string to be 12 feet long. At the party store string is sold by yard. If Cesar wants to get 47 balloons how many yards of string will he need? 1 foot =1/3 yard
Answer:
188 yards
Step-by-step explanation:
Given
Length of one balloon = 12 feet
Since 1 foot = 1/3 yards
12 feet = x
Cross multiply
1 * x = 1/3 * 12
x = 12/3
x = 4 yards
Hence one balloon will be 4 yards long.
If one balloon = 4 yards long
47 balloons = y
Cross multiply;
1 * y = 4 * 47
y = 188yards
Therefore Cesar will need 188 yards of string for 47 ballooons
Which statement represents the expression?
6(5+7)
6 times 5 plus 7
7 more than 5 times 6
6 times the sum of 5 and 7
the product of 6 and 5 plus 7
Answer:
Should be the third one
Step-by-step explanation:
6(5+7)
5+7=12
6×12=72 |•-•|
Answer: I think it’s the 3rd one.
Step-by-step explanation:
6(5+7)
5+7=12
6×12=72
Hope it helps, have a great day!
What is the equation for the graph?
Answer:
Standard Form:
[tex]y = {x}^{3} - 3 {x}^{2} + 3x - 4[/tex]
Another Form:
[tex]y = (x - 1)^{3} - 3[/tex]
Step-by-step explanation:
The type of graph or function is called Cubic Function
The type of graph is represented by the equation of y = a(x-h)³+k
Thus our equation for the graph is
[tex]y = {(x - 1)}^{ 3} - 3[/tex]
In case if you want standard form.
Simplify the expression.
[tex](x - y)^{3} = {x}^{3} - 3 {x}^{2} y + 3x {y}^{2} - {y}^{3} [/tex]
[tex]y ={x}^{3} - 3 {x}^{2} + 3x - 1 - 3 \\ y = {x}^{3} - 3 {x}^{2} + 3x - 4[/tex]
The product of a particular number and a second value, which is given by the sum of 8 and the original number, is 65. What is the number? A. x = 81 B. x = −13; x = 5 C. x = −9; x = 9 D. x = 5
Given:
The product of a particular number is 65.
Second value is given by the sum of 8 and the original number.
To find:
The unknown number.
Solution:
Let x be the unknown number.
Then, second number = x+8
The product of a particular number is 65.
[tex]x\times (x+8)=65[/tex]
[tex]x^2+8x=65[/tex]
[tex]x^2+8x-65=0[/tex]
Splitting the middle term, we get
[tex]x^2+13x-5x-65=0[/tex]
[tex]x(x+13)-5(x+13)=0[/tex]
[tex](x-5)(x+13)=0[/tex]
Using zero product property, we get
[tex]x-5=0[/tex] and [tex]x+13=0[/tex]
[tex]x=5[/tex] and [tex]x=-13[/tex]
So, the unknown number is either 5 or -13.
Therefore, the correct option is B.
Which point on the graph below is included in the solution to the following system of equations?
y > 2/3x + 1
5x + 6y ≤ -30
Answer:
D(-7,-2)
Step-by-step explanation:
A(-4,3) B(5,-1) C(-2,-6) D(-7,-2)
A: 5×(-4) + 6×3 = -2 ≥ -30 ..... No
B: 2/3×5 + 1 =4.33 ≥ -1 ....No
C: -6 ≤ 2/3×-2 +1 ....No
D: 2/3×(-7)+1 = 2.333 ≤ -2
5×(-7) + 6×(-2) = -47 ≤ -30 ......Yes
A town has a population of 20000 and grows at 4% every year. How long will it be until the population will reach 39400?
Answer:
The population will be 39400 in approximately 17 years
Step-by-step explanation:
The increase in population after t years is given by the formula
[tex]P_t = P_0(1+r)^t[/tex]
Here
P_0 is the initial population
r is the growth rate and t is time in years
So far we know,
P_0 = 20000
r = 4%
P_t = 39400
Putting the values in the formula
[tex]39400 = 20000(1+0.04)^t\\39400 =20000(1.04)^t\\\frac{39400}{20000} = (1.04)^t\\1.97 = (1.04)^t[/tex]
Taking natural log on both sides
[tex]ln |(1.04)^t| = ln |1.97|\\t\ ln\ |1.04| = ln\ |1.97|\\t = \frac{ln\ 1.97}{ln\ 1.04}\\t = 17.287\\t \approx 17[/tex]
Hence,
The population will be 39400 in approximately 17 years
Given the table of values below, which of the following ordered pairs are found on the graph of the inverse function? A. (-2, -14), (-1,-10), (0, -6), (1, -2), (2, 2) B. (14,-2).(10,-1). (6.0), (2, 1), (-2,2) O C. (-14, 2), (-10,1),(-6,0),(-2,-1), (2-2) D. (2, -14), (1, -10), (0, -6).(-1,-2).(-2,2)
Given:
The of values of a function.
To find:
The ordered pairs that are found on the graph of the inverse function.
Solution:
If a function is defined as
[tex]f(x)=\{(x,y):x\in R,y\in R\}[/tex]
Then its inverse function is defined as
[tex]f^{-1}(x)=\{(y,x):x\in R,y\in R\}[/tex]
From the given table it is clear that, the ordered pairs of the function f(x) are :
[tex]\{(-2,-14),(-1,10),(0,6),(1,2),(2,-2)\}[/tex]
So, ordered pairs of the inverse function are :
[tex]\{(-14,-2),(10,-1),(6,0),(2,1),(-2,2)\}[/tex]
Therefore, the correct option is B.
Find the area of quadrilaterals whose d= 5.5cm, ℎ1 =2.5cm, ℎ2 =1.5cm.
Answer:
DEMANDE A TON PERE LE CHAUVE PETIT ZGUEGUE
Step-by-step explanation:
What is the value of x? 114° 2x a. 38 b. 57° c. 76° d. 85°
Answer:
I THINK is (57°) if it wrong im sorry.
Column A
Column B.
1.
(2XY)5
81X31
2.
(2x3Y)6
32x5y5
3.
(3x7)4.X3
64x18y6
Answer:
columnd A
Step-by-step explanation:
BEACUSE I LIKE A
Answer: 3
Step-by-step explanation:
Because it just is
la Tour eiffel a 2 etages il y a 24 tronçons . Un de ces tronçons de 700kg a été vendu aux enchères à 180 000 euros. Quel est le prix au kilogramme de ce tronçon de la Tour Eiffel
Answer:
257.143 Euros/kg
Step-by-step explanation:
Esto se calcula como:
700 kg = 180.000 euros
1 kg = x euros
Cruz multiplicar
700 kg × x = 180.000 euros × 1
x = 180.000 euros / 700 kg
x = 257,14285714 Euros / kg
x = 257.143 Euros / kg
El precio por kilogramo de este tramo de la Torre Eiffel es de 257.143 Euros / kg
Can someone PLEASE help me I need to find the length of these two ladders, please actually help and don't just guess. If you can show me how you did it too, i will give you brainliest
Answer:
29 feet for second ladder
Step-by-step explanation: I dont think first is possibe(decimals), second 21 square+ 20 square= 441+200=881, root of 881 is 29.
Answer:
As this is a right angled triangle, simply find the hypotenuse
Step-by-step explanation:
We know that the square of hypotenuse is equal to the sum of the square of the other two sides
In formula > h²=a²+b²
We know the values of a and b.
Now simply put the values into the equation to find the answer :)
For 1, h²= 25² + 10²
h² = 625 + 100
=725
h=√(725)
=26.92 feet
Therefore height of ladder = 26.92 feet
For 2,
h²= 21²+20²
h²=441 + 400
h² = 841
h = √841
h = 29 feet
Heigh of ladder = 29 feet
If f(x) = x2 – 2x and g(x) = 6x + 4, for which value of x does (f + g)(x) = 0?
-4
-2
2
4
Answer:
x = - 2
Step-by-step explanation:
(f + g)(x) = f(x) + g(x)
f(x) + g(x)
= x² - 2x + 6x + 4
= x² + 4x + 4
Equating to zero
x² + 4x + 4 = 0 ← left side is a perfect square
(x + 2)² = 0, thus
x + 2 = 0 ( subtract 2 from both sides )
x = - 2
The trail around Mirror Lake in Yosemite National Park is 5 miles long. 9. What fraction describes how much more of the trail Jon hiked than Andrea hiked? 10. What fraction describes how much more of the trail Callie hiked than Jon hiked?
This question is incomplete
Complete Question:
The trail around Mirror Lake in Yosemite National Park is 5 miles long.
The tables below show the fraction of miles each hiked:
Hiker Fraction of miles hiked
Andrea 2/5
Jon 1/2
Callie 4/5
9. What fraction describes how much more of the trail Jon hiked than Andrea hiked?
10. What fraction describes how much more of the trail Callie hiked than Jon hiked?
Answer:
9. 1/10
10. 3/10
Step-by-step explanation:
9. What fraction describes how much more of the trail Jon hiked than Andrea hiked?
This is calculated as the number of miles Jon hiked - The number of miles Andrea hiked
1/2 - 2/5
= The Lowest Common Denominator is 10
= [(5 × 1) - (2 × 2)] /10
= [5 - 4] /10
= 1/10
The fraction that describes how much more of the trail Jon hiked than Andrea hiked is 1/10
10. What fraction describes how much more of the trail Callie hiked than Jon hiked?
This is calculated as the number of miles Callie hiked - The number of miles Jon hiked
4/5 - 1/2
= The Lowest Common Denominator is 10
= [(4 × 2) - (1 × 5)] /10
= [8 - 5] /10
= 3/10
The fraction describes how much more of the trail Callie hiked than Jon hiked is 3/10
What is x if: x ÷ 0.6 = 1 2/3
Answer:
x = 1
Step-by-step explanation:
Rewrite the equation to get x/0.6 = 5/3, since the division sign is the same thing as a slash sign and that 1 2/3 is equivalent to 5/3. Multiply 0.6 on both sides to get 1 as your final answer.
Answer:
1
Step-by-step explanation:
0.6 times 1 2/3 is 1. in that case, 1 divided by 0.6 is 1.66666666667, also known as 1 2/3 making x = 1
Bill charges $12 per hour for a plumbing job. Write the equation that shows the relationship between the numbers of hours Bill work's,h, and the amount of money he makes, m?
Answer:
m = 12h
Step-by-step explanation:
Since Bill charges $12 per hour, it implies for every hour he charges $12. Therefore, the amount of money he makes, m, is dependent on the number of hours he works, h. The higher the number of hours, the more his money. And vice versa.
So that;
m = 12h
Thus if Bill works for 6 hours, his amount of money would be;
m = 12 (6)
= 72
m = $72
Bill would make $72 after working for 6 hours.
Which linear inequality is represented by the graph?
HELP I WILL NARK BRAINLIEST
Answer:
number 2 (-8 -2)
Step-by-step explanation:
Estimate the quotient. Use compatible numbers. Round your answer to the nearest tenth.
5.8 ÷ 8 ≈ ___
Answer:
5.8/8=0.725
Rounded number: 0.7
Step-by-step explanation:
Estimate 6/8=0.75
6 because 5.8 rounded to a whole number=6
Find the length of DE using the distance formula. d =
Answer:
d = 10units
Step-by-step explanation:
The question is incomplete. Find the complete question attached
The formula for calculating the distance between two points is expressed by the formula;
d = √(x₂-x₁)²+(y₂-y₁)²
Given the coordinate points (-4, 2) and (4, -4)
d = √(4-(-4))²+(-4-2)²
d = √(4+4)²+(-6)²
d = √(8)²+(-6)²
d = √64+36
d = √100
d = 10
Hence the distance between the points DE is 10units
2
Did the same result occur in both parts when you held up a lighted splint to the jar's mouth?
What can you conclude from this about the identity of the gas(es) in Parts 1 and 2? (3
points)
Answer:
Oxygen gas causes a glowing splint to continue burning. If you observe a gas forming, test for its identity by inserting a glowing wood splint into the mouth of the test tube. Light the splint and then blow out the flame, leaving a glow.
Annapurna suppliers sold construction materials at Rs. 497200 to Sagarmatha suppliers
making 10% profit and adding 13% VAT. Find the cost price of the Annapurna suppliers.
Sagarmatha suppliers spent Rs 10000 for transportation cost and made Rs. 30000 profit and
levied local tax Rs. 20000 and sold to constructor. Find the additional VAT applicable amount
and the final price with VAT
Step-by-step explanation:
annapurna suppliers to sagarmatha suppliers ,
SP = (100+10)%of 497200
=110/100 * 497200
SP = RS. 546920
VAT 1 = 13% OF 546920
= RS. 71099.6
SAGARMATHA SUPPLIERS TO CONSTRUCTOR,
CP=RS.546920
TC=RS.10000
PROFIT =RS. 30000
LT =RS. 20000
SP = RS. 60000
VAT=13%
VAT 2 = 13% OF 60000
= RS. 7800
final price with VAT = 7800+ 546920+71099.6
=RS. 625819.6
Final cost is 36463.6 and VAT end profit is 3646.36.
What is percentage?Percentage is defined as a given part or amount in every hundred. It is a fraction with 100 as the denominator and is represented by the symbol "%".
Given
Material cost = 497200
10% profit = [tex]\frac{10}{100}[/tex] × 497200
= 49720
13% VAT = [tex]\frac{13}{100}[/tex] × 49720
= 6463.6
Hence, Final cost = 6463.6 + 10000 + 20000
= 36463.6
VAT end profit = [tex]\frac{10}{100}[/tex] × 36463.6
= 3646.36
Hence, Final cost is 36463.6 and VAT end profit is 3646.36.
Find out more information about percentage here
https://brainly.com/question/24159063
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Find the equation of the line that is perpendicular to the given line and passes through the given point. Enter your answer in slope intercept for (y=mx+b) with the values of m and b given as decimals, rounded to the nearest hundredth if necessary. y=20x;(2,2)
The equation is y =
Please help very urgent! :)
Answer:
y = - 0.05x - 1.9
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + b ( m is the slope and b the y- intercept )
y = 20x ← is in slope- intercept form
with slope m = 20
Given a line with slope m then the slope of a line perpendicular to it is
[tex]m_{perpendicular}[/tex] = - [tex]\frac{1}{m}[/tex] = - [tex]\frac{1}{20}[/tex] = - 0.05 , thus
y = - 0.05x + b ← is the partial equation
To find b substitute (2, - 2) into the partial equation
- 2 = - 0.1 + b ⇒ b = - 2 + 0.1 = - 1.9
y = - 0.05x - 1.9 ← equation of perpendicular line