Answer:
c
because if u divided by 2 u get c
A 35-kg trunk is dragged 10 m up a ramp inclined at an angle of 12 degrees to the horizontal by a force of 90 N applied at an angle of 20 degrees to the ramp. At the top of the ramp, the trunk is dragged horizontally another 15 m by the same force. Find the total work done.
Answer:
The total work done is approximately 2,114.308 J
Step-by-step explanation:
The mass of the trunk = 35 kg
The height to which the trunk is dragged, d₁ = 10 m
The inclination of the plane on which the trunk is dragged = 12°
The applied force F = 90 N
The angle of inclination of the force to the ramp = 20°
The distance the trunk is dragged horizontally at the top of the ramp, d₂ = 15 m
Work = Force × Distance
The work done along the inclined plane, W₁ = 90 N × cos(20°) × 10 m ≈ 845.723 J
The work done along the horizontal, W₂ = 90 N × cos(20°) × 15 m ≈ 1,268.585 J
The total work done, W = W₁ + W₂
∴ W = 845.723 J + 1,268.585 J = 2,114.308 J
What does it mean for an ordered pair (x,y) to be a solution to a system of equations?
Answer:
For an ordered pair to be a solution to a system of equations, the values for x and y must agree with every equation in the system. For example, if you have two linear equations so that their lines intersect, then there is exactly one solution (x, y) such that both equations are true statements when both x and y are entered into both equations. Therefore, those two coordinates (x, y) are the only solution to that system.
In other systems, such as quadratic systems containing two equations with two second-degree variables, x^2 and y^2, you can have up to four solutions (x, y) since the graphs of these equations may intersect in up to four points. Again, it means that the coordinates to each of these points agree with all equations in the system.
Step-by-step explanation:
determine x
please please ill be your best friend!!!! please
4x+5 0 =110
4x=60
x= 15
Answer:
x = 15
Step-by-step explanation:
∠B = 180 - 110
= 70 degrees
Since all the angles in a triangle add up to 180 we can solve for x like this:
180 = (3x + 30) + (x+20) + 70
Step 1 : Collect like terms
180 = 4x + 120
Step 2 : Move the terms to isolate 4x
-4x = 120 - 180
-4x = -60
Step 3 : Divide both sides by -4 which gives us:
X = 15
We can check to see if this works
3(15) + 30 = 75
15 + 30 = 35
Add all values up
75 + 35 + 70 = 180 (the sum of all angles in any triangle)
Hope this helps!
HELP PLZ DESPERATE MARKING BRAINLIEST
Answer:
Option 3 : ∠BAC = 60°
Step-by-step explanation:
Exterior angle = sum of interior opposite angles.
That is ,
2x + 3x = 150°
5x = 150°
x = 30
∠BAC = 2x = 2 × 30 = 60°
Answer:
The measure of <BAC is 60
From a stick 2y metres long, I cut a piece of length 4y centimetres. What fraction of the original stick remains?
Answer: [tex]\dfrac{49}{50}[/tex]
Step-by-step explanation:
Given
Length of the stick is [tex]2y\ m[/tex]
A piece of [tex]4y\ cm[/tex] is cut
We know, 1 m=100 cm
So, [tex]2y\ m[/tex] in cm is [tex]200y\ cm[/tex]
Remaining length after cut is
[tex]\Rightarrow 200y-4y=196y[/tex]
Fraction of length that is left after the cut is
[tex]\Rightarrow \dfrac{196y}{200y}\\\\\Rightarrow \dfrac{49}{50}[/tex]
Thus, [tex]\frac{49}{50}[/tex] fraction of original stick remains after cut
Pedro y su socia Karina vendieron 520 calendarios en el mes de Diciembre. Pedro vendió 120 calendarios más que su socia. ¿Cuántos calendarios vendió cada uno?
Answer:
Pedro vendió = 320 calendarios
Katrina vendió = 200 calendarios
Step-by-step explanation:
Dejemos que el número de calendarios
Pedro vendió = x
Katrina vendió = y
Pedro y su compañera Karina vendieron 520 calendarios en diciembre.
x + y = 520 .... Ecuación 1
Pedro vendió 120 calendarios más que su socio.
x = y + 120
Sustituimos y + 120 por x
y + 120 + y = 520
2 años = 520 - 120
2 años = 400
y = 400/2
y = 200 calendarios
Resolviendo para x
x = y + 120
x = 200 + 120
x = 320 calendarios
Por lo tanto,
Pedro vendió = 320 calendarios
Katrina vendió = 200 calendarios
Which represents the solution set of 5(X+5) <85?
X512
Ox> 12
X<16
X>16
Answer
x<12
Explanation
5(x+5)<85
5x+25<85
5x<85-25
5x<60
x<60/5
x<12
PLZZZZ BRAINILEST IM FAILINGGGG
Answer:
Base = 7
Height = 10
Area = 35
Step-by-step explanation:
Area is 35.
7 * 10 = 70
70/2 = 35
Base = 7 (Given)
Height = 10 (Given)
Answer:
base: 7 (yd)
height: 10 (yd)
area: 35 (yd²)
Step-by-step explanation:
To find the area of a triangle, multiply the base and height, then, divide the product by 2. The quotient is the area of the triangle.
[tex]7*10=70.[/tex]
[tex]70/2=35.[/tex]
I, therefore, believe the area of this triangle is 35 yd.
Max bought three items for $18.95 each and two items for $26.71 each. How much change would he get from $500 ?
Answer:
$389.73 in change
Step-by-step explanation
500-( (18.95 x 3)+(26.71 x 2) )=
500-(56.85+53.42)=
500-110.27=
389.73
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 the time that the rocket will hit the ground, to the nearest 100th of second.
y=-16x^2+165x+69
Answer:
The rocket hits the gorund after approximately 10.71 seconds.
Step-by-step explanation:
The height of the rocket y in feet x seconds after launch is given by the equation:
[tex]y=-16x^2+165x+69[/tex]
And we want to find the time in which the rocket will hit the ground.
When it hits the ground, its height above ground will be 0. Hence, we can let y = 0 and solve for x:
[tex]0=-16x^2+165x+69[/tex]
We can use the quadratic formula:
[tex]\displaystyle x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}[/tex]
In this case, a = -16, b = 165, and c = 69.
Substitute:
[tex]\displaystyle x=\frac{-165\pm\sqrt{(165)^2-4(-16)(69)}}{2(-16)}[/tex]
Evaluate:
[tex]\displaystyle x=\frac{-165\pm\sqrt{31641}}{-32}=\frac{165\pm\sqrt{31641}}{32}[/tex]
Hence, our solutions are:
[tex]\displaystyle x_1=\frac{165+\sqrt{31641}}{32}\approx 10.71\text{ or } x_2=\frac{165-\sqrt{31641}}{32}\approx-0.40[/tex]
Since time cannot be negative, we can ignore the first answer.
So, the rocket hits the gorund after approximately 10.71 seconds.
Answer:
10.71
Step-by-step explanation:
the person below was correct!
Let z be inversely proportional to the cube root of y. When y =.064, z =3
a) Find the constant of proportionality k.
b) Find the value of z when y = 0.125.
Given:
z be inversely proportional to the cube root of y.
When y =0.064, then z =3.
To find:
a) The constant of proportionality k.
b) The value of z when y = 0.125.
Solution:
a) It is given that, z be inversely proportional to the cube root of y.
[tex]z\propto \dfrac{1}{\sqrt[3]{y}}[/tex]
[tex]z=k\dfrac{1}{\sqrt[3]{y}}[/tex] ...(i)
Where, k is the constant of proportionality.
We have, z=3 when y=0.064. Putting these values in (i), we get
[tex]3=k\dfrac{1}{\sqrt[3]{0.064}}[/tex]
[tex]3=k\dfrac{1}{0.4}[/tex]
[tex]3\times 0.4=k[/tex]
[tex]1.2=k[/tex]
Therefore, the constant of proportionality is [tex]k=1.2[/tex].
b) From part (a), we have [tex]k=1.2[/tex].
Substituting [tex]k=1.2[/tex] in (i), we get
[tex]z=1.2\dfrac{1}{\sqrt[3]{y}}[/tex]
We need to find the value of z when y = 0.125. Putting y=0.125, we get
[tex]z=1.2\dfrac{1}{\sqrt[3]{0.125}}[/tex]
[tex]z=\dfrac{1.2}{0.5}[/tex]
[tex]z=2.4[/tex]
Therefore, the value of z when y = 0.125 is 2.4.
Proportional quantities are either inversely or directly proportional. For the given relation between y and z, we have:
The constant of proportionality k = 1.2, andWhen y = 0.125 , z = 2.4What is directly proportional and inversely proportional relationship?Let there are two variables p and q
Then, p and q are said to be directly proportional to each other if
[tex]p = kq[/tex]
where k is some constant number called constant of proportionality.
This directly proportional relationship between p and q is written as
[tex]p \propto q[/tex] where that middle sign is the sign of proportionality.
In a directly proportional relationship, increasing one variable will increase another.
Now let m and n are two variables.
Then m and n are said to be inversely proportional to each other if
[tex]m = \dfrac{c}{n}[/tex]
or
[tex]n = \dfrac{c}{m}[/tex]
(both are equal)
where c is a constant number called constant of proportionality.
This inversely proportional relationship is denoted by
[tex]m \propto \dfrac{1}{n}\\\\or\\\\n \propto \dfrac{1}{m}[/tex]
As visible, increasing one variable will decrease the other variable if both are inversely proportional.
For the given case, it is given that:
[tex]z \propto \dfrac{1}{^3\sqrt{y}}[/tex]
Let the constant of proportionality be k, then we have:
[tex]z = \dfrac{k}{^3\sqrt{y}}[/tex]
It is given that when y = 0.064, z = 3, thus, putting these value in equation obtained above, we get:
[tex]k = \: \: ^3\sqrt{y} \times z = (0.064)^{1/3} \times (3) = 0.4 \times 3 = 1.2[/tex]
Thus, the constant of proportionality k is 1.2. And the relation between z and y is:
[tex]z = \dfrac{1.2}{^3\sqrt{y}}[/tex]
Putting value y = 0.0125, we get:
[tex]z = \dfrac{1.2}{^3\sqrt{y}}\\\\z = \dfrac{1.2}{(0.125)^{1/3} } = \dfrac{1.2}{0.5} = 2.4[/tex]
Thus, for the given relation between y and z, we have:
The constant of proportionality k = 1.2, andWhen y = 0.125 , z = 2.4Learn more about proportionality here:
https://brainly.com/question/13082482
The estimated daily living costs for an executive traveling to various major cities follow. The estimates include a single room at a four-star hotel, beverages, breakfast, taxi fares, and incidental costs. Click on the datafile logo to reference the data. City Daily Living Cost ($) City Daily Living Cost ($) Bangkok 242.87 Mexico City 212.00 Bogota 260.93 Milan 284.08 Cairo 194.19 Mumbai 139.16 Dublin 260.76 Paris 436.72 Frankfurt 355.36 Rio de Janeiro 240.87 Hong Kong 346.32 Seoul 310.41 Johannesburg 165.37 Tel Aviv 223.73 Lima 250.08 Toronto 181.25 London 326.76 Warsaw 238.20 Madrid 283.56 Washington, D.C. 250.61 a. Compute the sample mean (to 2 decimals). b. Compute the sample standard deviation (to 2 decimals). c. Compute a confidence interval for the population standard deviation (to 2 decimals).
Answer:
[tex]\bar x = 260.1615[/tex]
[tex]\sigma = 70.69[/tex]
The confidence interval of standard deviation is: [tex]53.76[/tex] to [tex]103.25[/tex]
Step-by-step explanation:
Given
[tex]n =20[/tex]
See attachment for the formatted data
Solving (a): The mean
This is calculated as:
[tex]\bar x = \frac{\sum x}{n}[/tex]
So, we have:
[tex]\bar x = \frac{242.87 +212.00 +260.93 +284.08 +194.19 +139.16 +260.76 +436.72 +355.36 +.....+250.61}{20}[/tex]
[tex]\bar x = \frac{5203.23}{20}[/tex]
[tex]\bar x = 260.1615[/tex]
[tex]\bar x = 260.16[/tex]
Solving (b): The standard deviation
This is calculated as:
[tex]\sigma = \sqrt{\frac{\sum(x - \bar x)^2}{n-1}}[/tex]
[tex]\sigma = \sqrt{\frac{(242.87 - 260.1615)^2 +(212.00- 260.1615)^2+(260.93- 260.1615)^2+(284.08- 260.1615)^2+.....+(250.61- 260.1615)^2}{20 - 1}}[/tex][tex]\sigma = \sqrt{\frac{94938.80}{19}}[/tex]
[tex]\sigma = \sqrt{4996.78}[/tex]
[tex]\sigma = 70.69[/tex] --- approximated
Solving (c): 95% confidence interval of standard deviation
We have:
[tex]c =0.95[/tex]
So:
[tex]\alpha = 1 -c[/tex]
[tex]\alpha = 1 -0.95[/tex]
[tex]\alpha = 0.05[/tex]
Calculate the degree of freedom (df)
[tex]df = n -1[/tex]
[tex]df = 20 -1[/tex]
[tex]df = 19[/tex]
Determine the critical value at row [tex]df = 19[/tex] and columns [tex]\frac{\alpha}{2}[/tex] and [tex]1 -\frac{\alpha}{2}[/tex]
So, we have:
[tex]X^2_{0.025} = 32.852[/tex] ---- at [tex]\frac{\alpha}{2}[/tex]
[tex]X^2_{0.975} = 8.907[/tex] --- at [tex]1 -\frac{\alpha}{2}[/tex]
So, the confidence interval of the standard deviation is:
[tex]\sigma * \sqrt{\frac{n - 1}{X^2_{\alpha/2} }[/tex] to [tex]\sigma * \sqrt{\frac{n - 1}{X^2_{1 -\alpha/2} }[/tex]
[tex]70.69 * \sqrt{\frac{20 - 1}{32.852}[/tex] to [tex]70.69 * \sqrt{\frac{20 - 1}{8.907}[/tex]
[tex]70.69 * \sqrt{\frac{19}{32.852}[/tex] to [tex]70.69 * \sqrt{\frac{19}{8.907}[/tex]
[tex]53.76[/tex] to [tex]103.25[/tex]
solve for x please !URGENT!
Answer:
It is x=908.
Might be wrong tho so dont jump me
Answer: 908
Step-by-step explanation:
x/4 = 89 + 138
x/4 = 227
x = 227 x 4
x = 908
What statement is NOT true about the pattern shown below? 2/3, 4/6, 8/12, 16/24 Choices: Each fraction is greater than the previous fraction. Each fraction is equal to the previous fraction in the pattern multiplied by 2/2 Each fraction is equivalent to 2/3 The next fraction in the pattern is 32/48. Plsss help me out I need the answer like, rn. (That means SAY THE ANSWER RIGHT NOW!)
Answer: Each fraction is greater than the previous fraction.
Step-by-step explanation:
The fractions given are:
2/3, 4/6, 8/12, 16/24
Note that
2/3 = 4/6 = 8/12 = 16/32
The Fractions are all equal. Each fraction is equivalent to 2/3
The pattern used here is:
2/3 × 2/2 = 4/6
4/6 × 2/2 = 8/12
8/12 × 2/2 = 16/24
16/24 × 2/2 = 32/48
Each fraction is equal to the previous fraction in the pattern multiplied by 2/2
Also, the next fraction in the pattern is 32/48.
The statement that "Each fraction is greater than the previous fraction" is incorrect. The fractions are all equal.
On a coordinate plane, triangle A B C is shown. Point A is at (negative 1, 1), point B is at (3, 2), and points C is at (negative 1, negative 1)
If line segment BC is considered the base of triangle ABC, what is the corresponding height of the triangle?
0.625 units
0.8 units
1.25 units
1.6 units
Answer:
D. 1.6
Step-by-step explanation:
magic
Answer:
D) 1.6
Step-by-step explanation:
Hope this helps!
What is the measure of KPN?
Answer:
angle KPN=95 degree
Step-by-step explanation:
angle KPN = angle JPO (because they are vertically opposite angles)
Now,
angle JPO+angle LOP=180 degree(being co interior angles)
angle JPO + 85 =180
angle JPO =180-85
angle JPO =95
since angle JPO is equal to KPN ,angle KPN is 95 degree
There are 5 red, 4 blue, and 3 green marbles in a bag. What are the odds of randomly pulling a blue marble out of the bag and then randomly pulling a green marble out of the bag? The blue marble is NOT replaced.
A - 7/2
B - 12/24
C - 1/12
D - 1/11
Factor the common factor out of each expression: 18u^2v^5-27uv^5+54uv^4
Answer:
9uv⁴
Step-by-step explanation:
9uv⁴(2v-3v+6)
Answer:
Factor out 9uv^4 from the expression
9uv^4(2uv - 3v + 6)
If you need more steps just ask :)
Escreva os números abaixo em notação científica:
1) 5 000 000 000 000 =
2) 0,000 007 =
3) 58 600 000 000 000 =
4) 0,000 005 874 =
[tex]\huge\boxed{\boxed{\underline{\textsf{\textbf{Answer}}}}}[/tex]
╭═══════ღ❦ღ══╮
Os números em notação científica são os seguintes : -
1) 5,000,000,000,000 ⟹ [tex]\boxed{5 × 10^{12}}[/tex]
2) 0,000,007 ⟹ [tex]\boxed{7 × 10^{0}}[/tex]
3) 58,600,000,000,000 ⟹ [tex]\boxed{5.86 × 10^{13}}[/tex]
4) 0,000,005,874 ⟹ [tex]\boxed{5.874 × 10^{3}}[/tex]
╰══ღ❦ღ═══════╯
ʰᵒᵖᵉ ⁱᵗ ʰᵉˡᵖˢ
# [tex]\large\boxed{RainbowSalt2^{2}2^{2}}[/tex] ღ
Suppose that the width of a certain rectangle is 1 inch more than one-fourth of its length. The perimeter of the rectangle is 72 inches. Find the length and width of the rectangle.
Answer:
Length = 28 inches
Width = 8 inches
Step-by-step explanation:
Let length be L
Let Width be W
Given : W = 1 + (1/4)L
Perimeter = 2 x ( L + W)
[tex]72 = 2 (L + (1 + \frac{1}{4} L))\\\\36 = L + 1 + \frac{1}{4} L\\\\36 - 1 = \frac{5}{4} L\\\\35 = \frac{5}{4} L\\\\5L = 35 \times 4\\\\L = \frac{140}{5} = 28 \ in[/tex]
[tex]W = 1 + (\frac{1}{4} \times 28) = 1 + 7 = 8 \ in[/tex]
It costs $198.00 to buy beef to make 300 meatballs. What will the cost be
to make 120 meatballs?
Answer:$181.81
Step-by-step explanation:300/198
=1.5151515….multiple by 120
=181.818181
Sandy is working with a carpenter to frame a house. They are using8 -foot-long boards, but each board must be cut to be 7feet,10 3/4 inches long. How much is cut off each board?
Answer:
1 1/4 inches
5/48 foot
Step-by-step explanation:
to solve this question, convert feet to inches
1 feet = 12 inches
8 x 12 = 96 inches
7feet,10 3/4 inches long = (7 x 12) + 10 3/4 inches = 94 3/4 inches
Subtract 94 3/4 inches from 96 inches
96 inches - 94 3/4 inches = 1 1/4 inches
or 5/4 x 1/12 = 5/48 foot
What is the answer for ½+¼⅝
Answer:
1 3/8
[tex]SOLUTION[/tex]
[tex]add \: \frac{1}{2} + \frac{1}{4} + \frac{5}{8} [/tex]
[tex] = \frac{4 + 2 + 5}{8} [/tex]
[tex] = \frac{11}{8} [/tex]
=1 3/8
I hope it helps
have a great day
[tex]#Liliflim[/tex]
Answer:
[tex] \displaystyle 1\frac{3}{8} [/tex]
Step-by-step explanation:
first thing I guess we missed a plus sign or whatsoever
[tex] \displaystyle \frac{1}{2} + \frac{1}{4} + \frac{5}{8} [/tex]
when we add different fraction the step is to find the LCM of the denominator therefore,
[tex] \displaystyle \text{LCM}(2,4,8)[/tex]
[tex] \displaystyle = 8[/tex]
now the second step is to divide the LCM by the denominator and multiply it by the numerator which yields:
[tex] \displaystyle \frac{4 + 2 + 5}{8}[/tex]
and the final step is
simplify addition:
[tex] \displaystyle \frac{11}{8}[/tex]
convert it to mixed fraction which yields
[tex] \displaystyle 1\frac{3}{8} [/tex]
and we are done!
Hello please help asap, thanks!
Answer:
Last image.
Step-by-step explanation:
So, we know that the orginal graph is of [tex]\sqrt[7]{x}[/tex]
We need to find the graph of [tex]-\sqrt[7]{x}-8[/tex]
First off, we see a negative in front of the root.
This means that all the values will be flipped across the x axis.
This removes the first two answer graphs, for they are of the postive root.
Next, we have a -8 following the root.
So, when another number is inside of the root(example: [tex]\sqrt[7]{x-6}[/tex]) You are going to add 6 to the x axis, basically shifting everything to the right(postive). If it was a postive 6 inside the root, we would move it left(negative)
This is not what is being done in our graph, I just wanted to explain this for future graphing.
Now, when a number is outside the root, such as the one above, then it shifts the y axis. In this case we have a -8 outside the root. This means that the graph will be shifted down(negative) by 8.
This eliminates the 3rd graph image, leaving the last graph answer shown below.
Hope this helps!
Please help!! I keep getting a different answer!!! 14 points!!
Zx5+3 please help me
Use the Distributive Property to expand
the expression:
2 (y + 5x - 3)
En una playa de estacionamiento hay 40 vehículos entre autos y motos. Si en total se cuentan 120 llantas, halla el número de autos que hay
Answer:
20 carros
Step-by-step explanation:
Dado que un automóvil tiene cuatro neumáticos, multipliqué la C por 4
M es para motocicletas. ya que las motos tienen 2 neumáticos. Multipliqué M por 2
de hecho, la respuesta está en la imagen de arriba
I think of a number subtract 5 and then multiply by 2 my awnser is 80 what is my number
Answer:
45
Step-by-step explanation:
45-5= 40
40*2= 80
PLEASE IF YOU"RE REALLY GOOD AT MATH HELP MEEEE
