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[tex]\large \sf \underline{Problem:}[/tex]
The person is lifting a heavy box using a lever what is the purpose of the lever in the situation?
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[tex]\large \sf \underline{Answer:}[/tex]
to reduce the force needed to lift the box and change the direction of the force.
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[tex]\large \sf \underline{Explanation:}[/tex]
1. "A lever consists of a rigid bar that is able to pivot at one point. This point of rotation is known as the fulcrum. A force is applied at some point away from the fulcrum (typically called the effort)."
By this definition, we know that force is needed to lift an object using a lever.
2. "When the input and output forces are on opposite sides of the fulcrum, the lever changes the direction of the applied force. This occurs only with first-class levers. When both the input and output forces are on the same side of the fulcrum, the direction of the applied force does not change"
For example, on a sew saw, if a force is applied on one end, you on the other side/end would go up, meaning a change in direction.
3. Lastly, we know a lever is typically used to reduce work, in other words, the force needed to move something.
Basically, if we were to put a lever into an equation:
reduced force + change in direction = lever
(the expection) unless load and force are on the same side, there will be no change in direction.
For example, if you and your friend sit on the same side of a sew saw, the sew saw would not go up or down, meaning no change in direction.
So if not stated otherwise you can assume the load and force are on opposite sides. The purpose of a lever in that situation would be to reduce the force needed to lift the box and change the direction of the force.
*While reading my explanation, it may be helpful to look up a diagram containing a lever, with a load, fulcrum, and applied force.
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[tex]╰┈➤\: \huge\color{pink}{\bold{Answer}}[/tex]
To reduce the force needed to lift the box and change the direction of the force[tex] \: \: [/tex]
[tex]╰┈➤\: \huge\color{pink}{\bold{Explanation}}[/tex]
A lever consists of a rigid bar that is able to pivot at one point This point of rotation is known as the fulcrum A force is applied at some point away from the fulcrum (typically called the effort)[tex]\color{pink}──────────────────────────────[/tex]
[tex]\mathfrak \red{ - \: Cherrrry \: Red}[/tex]
Find the measure of
Answer:
Angles around a point sum to 360°
⇒ ∠SPT + ∠TPU + 86° + 60° + 154° = 360°
⇒ ∠SPT + ∠TPU = 60°
Therefore:
∠SPQ clockwise = ∠SPT + ∠TPU + 86°
= 60° + 86°
= 146°
∠SPQ anticlockwise = 60° + 154°
= 214°
Answer:
See below ~
Step-by-step explanation:
The total internal measure is 360°.
154° + 60° + 86 + ∠STP + ∠TUP = 360°2∠STP + 300 = 360°2∠STP = 60°∠STP = ∠TUP = 30°Finding ∠SPQ (clockwise):
2∠STP + 86°2(30) + 86146°Finding ∠SPQ (counterclockwise) :
360° - 146°214°An invasive species has an initial population of 20 organisms. In five years it’s population has grown to 130. Assuming exponential growth, how many years will it take its population to reach 5,000?
The 15 years it will take its population to reach 5,000 if initial population of 20 organisms.
What is an exponential function?
It is defined as the function that rapidly increases and the value of the exponential function is always a positive. It denotes with exponent [tex]\rm y = a^x[/tex]
where a is a constant and a>1
Let's assume the exponential growth is:
[tex]\rm y = Ae^{rt}[/tex]
From the problem:
[tex]\rm 130 = 20e^{5r}[/tex]
[tex]\rm e^{5r}= 6.5[/tex]
Taking ln both side:
We get:
r = 0.374
[tex]\rm 5000 = 20e^{0.374t}[/tex]
After solving, we get:
t = 14.76 ≈ 15 years
Thus, the 15 years it will take its population to reach 5,000 if initial population of 20 organisms.
Learn more about the exponential function here:
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Anybody know this? Please and thankyou!
Answer:
log base(6) [tex]\frac{z^{2}y^{3} }{w^{10} }[/tex]
Step-by-step explanation:
log base(6) [tex]\frac{z^{2}y^{3} }{w^{10} }[/tex]
Which of these decimals is the smallest?
0.38
0.376
0.3745
0.375
Perform the indicated operations and simplify the expression 4x-1/x+4 - x +1/x-5
Step-by-step explanation:
4x-1
x+-×+1=5
×-5
there are no terms like that
Find the missing length
Apply Pythagorean theorem
H²=P²+B²x²=14²+10²x²=196+100x²=296x=17.8find x ...............
In the first circle, x is the radius and also the hypotenuse of a right triangle with legs measuring 9 and 12. So by the Pythagorean theorem,
x² = 9² + 12² = 225 = 15² ⇒ x = 15
In the second circle, the chords AB and CD have the same length, and each of AP, BP, CP, and DP are radii of the circle and also have the same length. This means ∆ABP and ∆CDP are congruent, so the two labeled angles are also congruent, so x = 54.
Which of the following does NOT contribute to global warming?
A. Oil
B. Gas
C. Nuclear power
D. Coal
Answer:
D. Coal.
Step-by-step explanation:
Doesn’t really affect the earth in any way.
PLEASE HELP ASAP !
What is the solution to the inequality below?
|x| > 14
Case 1
x>14Case 2
-x>14x<-14Option A
It's impossible thing
please help me i don't understand
And a recent year 28.1% of all registered doctors were females if there were 42,000 female registered doctors at your what was the total of registered doctors?
Answer:
Step-by-step explanation:
Discussion
This is a proportion question. A proportion is 2 ratios separated by an equal sign.
If you know three of the components you can solve for the fourth.
Givens
28.1 % are females
42000 are female doctors.
100% is what is required.
Equation
28.1% / 100% = 42000 / x Cross Multiply
28.1 * x = 42000 * 100 Combine
28.1 * x = 4200000 Divide by 28.1
28.1/28.1 x = 4200000/28.1
x = 149466 is the total doctors
Answer
149366 is the total number of doctors.
Im giving 100 Points to anyone who could solve this for me please.
In the segment below, segment DC = 29,
Answer:
AB = 27.2
BC = 33.5
AC = 50.4
∠A = 38°
∠ABC = 112°
Step-by-step explanation:
Trigonometric ratios
[tex]\sf \sin(\theta)=\dfrac{O}{H}\quad\cos(\theta)=\dfrac{A}{H}\quad\tan(\theta)=\dfrac{O}{A}[/tex]
where:
[tex]\theta[/tex] is the angleO is the side opposite the angleA is the side adjacent the angleH is the hypotenuse (the side opposite the right angle)[tex]\implies \sf \cos(30^{\circ})=\dfrac{29}{BC}[/tex]
[tex]\implies \sf BC=\dfrac{29}{\cos(30^{\circ})}[/tex]
[tex]\implies \sf BC=\dfrac{58\sqrt{3}}{3}=33.5\:(nearest\:tenth)[/tex]
[tex]\implies \sf \tan(30^{\circ})=\dfrac{BD}{29}[/tex]
[tex]\implies \sf BD=29\tan(30^{\circ})[/tex]
[tex]\implies \sf BD=\dfrac{29\sqrt{3}}{3}[/tex]
[tex]\implies \sf \sin(38^{\circ})=\dfrac{BD}{AB}[/tex]
[tex]\implies \sf AB=\dfrac{\dfrac{29\sqrt{3}}{3}}{\sin(38^{\circ})}[/tex]
[tex]\implies \sf AB=27.2\:(nearest\:tenth)[/tex]
[tex]\implies \sf \tan(38^{\circ})=\dfrac{BD}{AD}[/tex]
[tex]\implies \sf AD=\dfrac{\dfrac{29\sqrt{3}}{3}}{\tan(38^{\circ})}[/tex]
[tex]\implies \sf AD=21.4\:(nearest\:tenth)[/tex]
[tex]\implies \sf AC=AD+DC=21.4+29=50.4[/tex]
The interior angles of a triangle sum to 180°
⇒ ∠A + 52° + 90° = 180°
⇒ ∠A = 180° - 90° - 52°
⇒ ∠A = 38°
⇒ ∠ABC + 38° + 30° = 180°
⇒ ∠ABC = 180° - 38° - 30°
⇒ ∠ABC = 112°
**I have checked the measures using a graphing programme - see attached**
What is the median of 0.8, 1.0, 2.7, 2.8, 3.1, 13.3
Answer:
[tex]2.75[/tex]
Step-by-step explanation:
Step 1: Determine the median
[tex]0.8, 1.0, 2.7, 2.8, 3.1, 13.3[/tex]
The median of a set is the middle of the set. In this instance, we have 6 numbers so we don't have a number directly in the set representing the median. Instead, we need to find the average or middle between the 3rd and 4th number. So we take 2.7 and 2.8, add them together to get 5.5 and then we divide by 2 to get 2.75 which is our median.
Answer: [tex]2.75[/tex]
HELP! PLEASE! I will mark you brainalist!!!!!
Answer:
Step-by-step explanation:
Problem a
a is an isosceles triangle. It has 2 sides marked as equal. Therefore the two angles marked in red are also equal.
The top angle = x
x + 70.5 + 70.5 = 180 All triangles have 180 degrees.
x + 141 = 180 Subtract 141 from both sides
x + 141-141 =180 - 141 Combine
x = 39
c + 39 + 87.2 =180 Combine the left
c + 126.2 = 180 Subtract 126.2 from both sides
c+126.2-126.2 = 180-126.2
c = 53.45
Answer: 53.45
Problem B
Comment
Problem b can only be found by taking the supplements of the two given angles. After that is done, the vertically opposite angle to d can be found because d is opposite the third angle.
Supplement of 115.6
Call the supplement = y
y + 115.6 = 180 Supplementary angles = 180 degrees
y +115.6-115.6 = 180 - 115.6 Combine
y = 64.2
Now we need the supplement of 99.9
Call the supplement = z
z + 99.9 = 180 Supplementary angles = 180
z+99.9-99.9 = 180-99.9
z = 80.1
Now subtract y + z from 180
180 - 64.2 - 80.1 = x
x = 35.7
x is opposite d
d = x
d = 35.7 degrees.
Answer
d = 35.7
If each single outcome is equally likely, you can use the table to help calculate probabilities. What is the probability of getting one head and one tail, on either coin?
a.
P(1 head and 1 tail)
b.
P(1 head and 1 tail)
c.
P(1 head and 1 tail)
d.
P(1 head and 1 tail)
--
the probability of getting one head and one tail on the toss of two coins is 0.5percent chance
A four-sided figure is resized to create a scaled copy.
Answer:
2/9 or 9/2
Step-by-step explanation:
The original figure is 2/9 of the size of the rescaled version, as each measurement is 2/9 of the rescaled version (eg 10/45 = 2/9)
If they want you to tell them how much bigger the rescaled version is, the answer would be 9/2 for the same reason, I'm just not sure which way they want you to go.
Hope this helps! :)
PLEASE HELP PLEASE HELP PLEASE
Answer:
1:1
Step-by-step explanation:
If the figure is rotated 90° clockwise about the origin, what are the coordinates of M′?
Answer:
y: -2 x: -1
Step-by-step explanation:
because if m turns 1/4 of a way clockwise it basically turns upside down 180 would be flipped, so it would be y:2 x:-1.
comment if you need help.
2. Determine the value of x for which r l s if
.
m<1 = 40 - 4x; and
m<2 = 50 - 8x.
A. 1.5
B. 2
C. 30
D. 2.5
Explanation:
If line r and line s are parallel, then the two angles marked must be congruent. Refer to the corresponding angles theorem for more details.
This means we'll set the angles equal to one another and solve for x.
angle1 = angle2
40-4x = 50-8x
-4x+8x = 50-40
4x = 10
x = 10/4
x = 2.5
Isaiah’s Ice Cream Shoppe has 12 different toppings to choose from for their famous sundaes. A customer is allowed to choose any combination of 3 toppings free of charge.
How many different combinations of 3 toppings can be made from the 12 options?
Answer:
36 different combinations
A particular candle gives out 4 lumens more light than the average. The standard deviation is 3 lumens. What
percentage of candles give out more light than this one?
find tan0 please help fast!
Answer:
Tan(51.06) = 1.24 so the correct answer is A
Step-by-step explanation:
Sin0 = 7/9
0 =Arcsin(7/9)
0 =51.06
So,
Tan(51.06) = 1.24 so the correct answer is A
Answer:
A. [tex]\frac{7\sqrt{2} }{8}[/tex]
Step-by-step explanation:
Finding the missing side :
7² + x² = 9²
x² + 49 = 81
x² = 32
x = 4√2
Taking the tan value :
tanθ = 7/(4√2)
tanθ = 7(4√2)/4√2(4√2)
tanθ = 28√2/32
tanθ = [tex]\frac{7\sqrt{2} }{8}[/tex]
Jeremy is x years old. He is 5 years younger than his sister. Together, the sum of their ages is 29 years.
Enter an equation that can be used to find Jeremy's age (x).
ANSWER THIS CORRECTLY FOR BRAINLIEST!!!!
Answer:
v=2143.57
Step-by-step explanation:
4/3 x 3.14 x 8³
3.14 x 512 x 4/3
3.14 x 512=1607.68
1607.68 x 4/3=2143.57333333
round to nearest hundreth
v=2143.57
Answer:
V ≈ 2143.57= 2144
Step-by-step explanation:
[tex]v=\frac{4}{3} *3.14*8^3[/tex]
=2143.57333333
you dont need to round, so!
=2144 (if you want)
sorry for the confusion
Is q = 5 a solution to the inequality below? q ≤ 8
Answer:
brainly please
Step-by-step explanation:
yes because 5 is less than 8
Answer:
No, the correct solution is q < 8 because 5 can not be equal to 8 but rather less than 8 (only)
If my grade is currently a B, 86% and I get a 50% or higher on a test has 100 questions and that is 30 percent of my grade, what will my grade be?
Answer:
like a 85 hop this helps I'm so sorry have a good day stay safe
Answer:
your grade will be 166%.
Step-by-step explanation:
First I subtract 86-50=36.
second I add 100+30=130.
total is 130+36=166%
One number is twice another number.
The larger number is 6 less than three
times the smaller number. Find the
two numbers.
Which expression is not equivalent to −4x3+x2−6x+8?
The expression which is not equivalent to the provided expression is expression number 1, x²(-4x+1)-2(3x-4).
What is the equivalent expression?Equivalent expressions are the expression whose result is equal to the original expression, but the way of representation is different.
The expression given in the problem is
f(x)=-4x³+x²-6x+8
The option given as,
(1) x² (-4x+1)-2(3x-4)(2) x(-4x²- x + 6) + 8(3) -4x³ + (x - 2)(x - 4)(4) -4(x³ - 2) + x(x - 6)From the given expression, if we take out x from the first three terms, it looks like option 2.
f(x)=-4x³+x²-6x+8
f(x)=x(-4x²+x-6)+8
From the given expression, if the last three terms factored, it looks like option 3.
f(x)=-4x³+x²-6x+8
f(x)=-4x³+x^2-4x-2x+8
f(x)=-4x³+x(x-4)-2(x-4)
f(x)=-4x³+(x-4)(x-2)
Rearrange the given expression, and make it looks like option 4.
f(x)=-4x³+x²-6x+8
f(x)=-4x²+8+x²-6x
f(x)=-4(x³-2)+x(x-6)
Thus, the expression which is not equivalent to the provided expression is expression number 1, x²(-4x+1)-2(3x-4).
Learn more about the equivalent expression here;
https://brainly.com/question/2972832
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A typical MRE contains 1250 calories. If the average soldier eats 3 MREs per day and is deployed for 36 weeks, approximately how many calories will be consumed by a 40 member platoon of soldiers?
Answer:
30240
Step-by-step explanation:
3x7x36x40 I hope this helps
You conduct a survey that asks 350 students in your class about whether they prefer pizza or chicken for school lunch. One hundred eighty-nine males respond, 95 of which prefer pizza. Fifty-two females prefer the chicken. Part A: Organize the results in the two-way table provided. Male Female Total Pizza Chicken Total 189 161 350 Part B: What percent of females like the pizza?
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