A force of newtons is applied to a 20cm^2 surface. The force applied is then increased by f Newtons and the surface area is increased by 5cm^2. Complete the following sentence describing the outcome of the increases.
Answers
Answer:
The pressure decreased by 18%
Step-by-step explanation:
Given two scenarios:
Step 1: Find the initial pressure
Initial force = 90 Newtons
Initial surface force is applied on = 20 cm²
Initial pressure = initial force/initial surface
*Note: the SI unit for pressure is N/m²
We need to convert cm² to m²
1 cm² = 0.0001 m²
20 cm² = 0.002 m²
Initial pressure = 90/0.002 m²
Initial pressure = 45,000 N/m²
Step 2: find new pressure
New force = 90+5 = 95N
New area = 20+5 = 25 m² = 0.0025m²
New pressure = 95/0.0025 = 38,000
Step 3: find the outcome of the increases by calculating the % change in pressure
% change in pressure = (new pressure - initial pressure)/initial pressure × 100
Thus,
% change in pressure = (38,000 - 45,000)/38,000 × 100
= -7,000/38,000 × 100
= -18.42 ≈ -18%
The outcome of the increase resulted in a decrease in pressure. Thus,
The pressure decreased by 18%
Answer:
The pressure is decreased by 15.56%
Related Questions
HELP ASAP Angle FGH is a central angle, what is the measure of FH A. 54° B. 108° C. 145° D. 216°
Answers
Answer:
A
Step-by-step explanation:
We can calculate this using circle theorems
The correct circle theorem to use here is that angle at center is 2 times angle at circumference
The angle we want to calculate here is the angle at circumference but we were given the angle at the center
So the value of the angle at the circumference would be 108/2 = 54
Is Lmn=OPQ? If so, name the congruence postulate that applies.
Answers
Answer:
Answer D
Step-by-step explanation:
Since 3 sides are congruent to 3 other sides, the two triangles are congruent due to the SSS postulate.
SSS stands for "side side side". It means that if you have three pairs of congruent corresponding sides, then the triangles are congruent. It's like saying every corresponding piece of two houses are the same, so the two houses overall must be identical.
Round to the nearest tenth
10x^2+5x-15=-12+8x^2
Answers
Answer:
x = - 3, x = 0.5
Step-by-step explanation:
Given
10x² + 5x - 15 = - 12 + 8x² ( subtract 8x² from both sides )
2x² + 5x - 15 = - 12 ( add 12 to both sides )
2x² + 5x - 3 = 0 ← in standard form
(x + 3)(2x - 1) = 0 ← in factored form
Equate each factor to zero and solve for x
x + 3 = 0 ⇒ x = - 3
2x - 1 = 0 ⇒ 2x = 1 ⇒ x = 0.5
Factorize 3x to second power minus 6x
Answers
Answer:
3x( 3x -2)
Step-by-step explanation:
(3x) ^2 - 6x
9x^2 -6x
The greatest common factor is 3x
3x( 3x -2)
What is the volume of the pyramid? A rectangular pyramid with a base of 8 centimeters by 6 centimeters and a height of 5 centimeters. 10 centimeters cubed 80 meters cubed 120 centimeters cubed 240 centimeters cubed
Answers
Answer:
Step-by-step explanation:
8•6= 48•5=240 divided by 3= 80
The volume of the rectangular pyramid is 80 cubic centimeter.
What is volume?
Volume is the measure of the capacity that an object holds.
Formula for the volume of a rectangular pyramid[tex]v = \frac{lwh}{3}[/tex]
Where,
V is the volume of the rectangular pyramid
l is the base length
w is the base width
h is the Pyramid height
According to the given question
We have
Base length of the rectangular pyramid = 8cm
Base width of the rectangular pyramid = 6cm
And the height of the rectangular pyramid = 5cm
Therefore,
The volume of the rectangular pyramid is given by
V = [tex]\frac{(8)(6)(5)}{3}[/tex]
⇒ V = 8 × 2 × 5
⇒ V = 30 cubic centimeter
Hence, the volume of the rectangular pyramid is 80 cubic centimeter.
Learn more about the volume of rectangular pyramid here:
https://brainly.com/question/21334693
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What is the length of line segment ABin the triangle shown below?
B=8 inches
A=17 inches
Answers
Step-by-step explanation:
For this triangle,we can use Pythagoras' theoremThe state is that : a²+b²=c²In this figure,notice that a shorter side needs to be found,so after writing the Pythagoras formula in the usual way,the formula has to be rearranged to make x² the subject a²+b²=c² 8²+x²=17² 64+x²=289 x² = 289- 64 x² = 225 x = √225 =15inchesAn intelligent trader travels from 1 place to another carrying 3 sacks having
30 coconuts each. No sack can hold more than 30 coconuts. On the way
he passes through 30 checkpoints and on each checkpoint he has to give 1
coconut for each sack he is carrying. How many coconuts are left in the
end? *
Answers
Answer:
none
Step-by-step explanation:
the man is carrying 3 sacks
each has 30 coconuts
so at total he has 90 coconuts: 30*3= 90
he passe through 30 checkpoints
ha has to give 1 coconut for each sack
so he gives 3 coconuts each time: 3*1=3
there are 30 ckeckpoints so : 3*30= 90
he has spent all the coconuts unless he has a trick
He starts with 3 sacks with 30 in each sack.
He has to give 1 coconut per sack away. So at first he gives 3 coconuts away.
The first 10 checkpoints he gives away 30 coconuts, so he is left with 2 sacks.
Now he has to give 2 coconuts away. 30/2 = 15, so the next 15 checkpoints he ends up giving away another full sack, so he is left with 1 full sack of 30 coconuts and he has 5 checkpoints left.
Giving away 1 coconut at those checkpoints, he would have 25 left
If the denominator of 5/7 is increased by a number and the numerator is doubled, the result is 1. Find the number.
Answers
Answer:
3
Step-by-step explanation:
let n be the number, then
[tex]\frac{10}{7+n}[/tex] = 1 ← multiply both sides by 7 + n
10 = 7 + n ( subtract 7 from both sides )
3 = n
HELP ME PLEASE AND THANKS :) <3
Answers
Answer:
D. Cost
It is cost because the y axis is the dependent variable because the cost depends on the weight and the dependent is the y axis.
Step-by-step explanation:
Please mark brainliest I hope this helps.
Answer:
D the cost
Step-by-step explanation:
cause the costs always go on the y axis
Three students attempt to define what a line segment is.
Answers
Answer:
the line segment is a part of an infinite line.
Answer:
Ebuka is correct. Ivy is thinking about a line, not a line segment. And ethan is the one saying that a line segment is about more than a length.
if a savings account is opened with an initial deposit of $250, and interest is compounded monthly at 6.25% for 50 years, how much will the account be worth at the end of the 50-year period?
Answers
Answer:
$-9125
Step-by-step explanation:
6.25÷100 = 0.0625 50×12=600
0.0625×250= $15.625
6.25%=$15.625
15.625×600= $9375
$250-$9375= -9125
The account be worth at the end of the 50-year period will be 9125 dollar.
What is the unitary method?The unitary method is a method for solving a problem by the first value of a single unit and then finding the value by multiplying the single value.
Given that savings account is opened with an initial deposit of $250, and interest is compounded monthly at 6.25% for 50 years.
The rate is 6.25÷100 = 0.0625
Therefore, 50×12=600
0.0625×250= $15.625
Since we know that 6.25%=$15.625
15.625×600= $9375
Thus we get;
$250-$9375 = -9125
Hence, the account be worth at the end of the 50-year period will be 9125 dollar.
Learn more about the unitary method, please visit the link given below;
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5/8 of the cats perferred drinking with there tongue but 3/16 wanted a straw if there was 39 cats that gave one of these 2 answers how many were surveyed in total GIVING BRAINLIST IF CORRECT AND THANKS. AND 5 STARS PLEASE HELP
Answers
Answer:
208cats
Step-by-step explanation:
⅝=tongue
³/16=straw=39cats
⅝+³/16=13/16
meaning total number of cats is 16/16
If ³/16=39cats
16/16=?
39×16/3
=208cats
Provide Two Column proof
Given: ABCD is a quadrilateral, Segment AB is congruent to Segment CD, <1 is congruent to <2
Prove: ABCD is a parallelogram
Answers
Answer and Step-by-step explanation:
When angle 1 is contrary to angle 2 the adjacent sides are parallel or identical instead. The diagonal from 1 is completely consistent with the other 2nd angle by different outward.
ASA produces two strong or contrugent triangles on the diagonal if both angle 1 and 2 are opposing one another.
Therefore ABCD is a parallelogram
When you take a picture with a 35mm camera, the image passes through the camera lens and is rotated and dilated onto the screen for viewing.
Answers
Answer:
That was a good fun fact.
Can u plz help me with this question
Answers
Answer:
300 - 5t means that Ann pays $300 - 5 times the number of guests she brings to the gym.
when t = 5, it equals $275
when t = 10, it equals $250
when t = 15, it equals $225
when t = 20, it equals $200
Step-by-step explanation:
the original price P of a shirt less $5 discount
Answers
Answer:
P - 5
Step-by-step explanation:
hello
original price is P
$5 discount means that the final price is P - 5
hope this helps
Answer:
p-5
Step-by-step explanation:
Complete the table of values below:
x -3 -2 -1 0 1 2 3 How the graph relates to y=2x
y=2x Answer
Answer
Answer
Answer
Answer
Answer
Answer
Not applicable
y=-2x Answer
Answer
Answer
Answer
Answer
Answer
Answer
multiplied by Answer
y=(3)(2x)
Answers
Answer:
The values of x are:
x : -3, -2, -1, 0, 1, 2, 3
Let's solve each by putting each value of x into each equation:
a [tex]y = 2^x[/tex]
> x = -3
=> y = 2^(-3) = 1/8
> x = -2
=> y = 2^(-2) = 1/4
> x = -1
=> y = 2^(-1) = 1/2
> x = 0
=> y = 2^0 = 1
> x = 1
=> y = 2^1 = 2
> x = 2
=> y = 2^2 = 4
> x = 3
=> y = 2^3 = 8
b. [tex]y = -2^x[/tex]
> x = -3
=> y = -2^(-3) = -1/8
> x = -2
=> y = -2^(-2) = -1/4
> x = -1
=> y = -2^(-1) = -1/2
> x = 0
=> y = -2^0 = -1
> x = 1
=> y = -2^1 = -2
> x = 2
=> y = -2^2 = -4
> x = 3
=> y = -2^3 = -8
c. [tex]y = (3)(2^x)[/tex]
> x = -3
=> y = 3 * 2^(-3) = 3 * 1/8 = 3/8
> x = -2
=> y = 3 * 2^(-2) = 3 * 1/4 = 3/4
> x = -1
=> y = 3 * 2^(-1) = 3 * 1/2 = 3/2
> x = 0
=> y = 3 * 2^0 = 3 * 1 = 3
> x = 1
=> y = 3 * 2^1 = 3 * 2 = 6
> x = 2
=> y = 3 * 2^2 = 3 * 4 = 12
> x = 3
=> y = 3 * 2^3 = 3 * 8 = 24
Input these values into the table.
Answer:
x : -3, -2, -1, 0, 1, 2, 3
Let's solve each by putting each value of x into each equation:
a
> x = -3
=> y = 2^(-3) = 1/8
> x = -2
=> y = 2^(-2) = 1/4
> x = -1
=> y = 2^(-1) = 1/2
> x = 0
=> y = 2^0 = 1
> x = 1
=> y = 2^1 = 2
> x = 2
=> y = 2^2 = 4
> x = 3
=> y = 2^3 = 8
b.
> x = -3
=> y = -2^(-3) = -1/8
> x = -2
=> y = -2^(-2) = -1/4
> x = -1
=> y = -2^(-1) = -1/2
> x = 0
=> y = -2^0 = -1
> x = 1
=> y = -2^1 = -2
> x = 2
=> y = -2^2 = -4
> x = 3
=> y = -2^3 = -8
c.
> x = -3
=> y = 3 * 2^(-3) = 3 * 1/8 = 3/8
> x = -2
=> y = 3 * 2^(-2) = 3 * 1/4 = 3/4
> x = -1
=> y = 3 * 2^(-1) = 3 * 1/2 = 3/2
> x = 0
=> y = 3 * 2^0 = 3 * 1 = 3
> x = 1
=> y = 3 * 2^1 = 3 * 2 = 6
> x = 2
=> y = 3 * 2^2 = 3 * 4 = 12
> x = 3
=> y = 3 * 2^3 = 3 * 8 = 24
Input these values into the table.
Marla is making 2 liters of cherry lemonade, 5 deciliter dog limeade and 2,500 milliliters strawberry lemonade for a party after the party was over she still a total of 1.3 liters of lemonade left. How many liters of lemonade were consumed during the party?
Answers
→Answer:
3.2 liters of lemonade were consumed during the party.
→Step-by-step explanation:
What we know
_____________________________________
Well there is 2,500 mL of strawberry lemonade
There are 2 liters of cherry
There are 5 deciliters of dog limeade
_____________________________________
So the 5 deciliters of dog limeade doesn't count because it is limeade, not lemonade.
The question is asking for the number of liters so we need to convert the 2,500 milliliters of lemonade to liters.
Which will be 2.5 liters of lemonade.
There are also 2 liters of cherry lemonade so 2.5 + 2 is 4.5.
So if 1.3 liters were left over doing 4.5 - 1.3 we get 3.2, meaning 3.2 liters of lemonade were consumed during the party.
which point is between the other two points? find coordinates of D and F
Answers
Point D is between points C and F as the diagram shows. Without using a visual aid, you can tell based on how CD and DF are ordered. Note how the "D"s in CD and DF are adjacent when you place them together
CD DF ---> CF
That is one way to think about it. Although, for me, a visual guide is better.
---------------
Point C is at location 20 on the number line. We move 3 spots over to get to point D, so D is at 20+3 = 23 on the number line. Then we move another 5 units to the right to get to point F which is at 23+5 = 28
C = 20
D = 23
F = 28
A vertical translation is used to move triangle DEH onto triangle D’E’H’.
Use the drop-down menus to describe the vertical translation used.
Answer this:
•vertical translation: Triangle DEH is translated —— units ——.
Answers
Answer:
5 units in the positive y-axis
Step-by-step explanation:
In order to get triangle D’E’H’, triangle DEH was moved upwards for a number of units which can be obtained by taking a corner of the rectangle and counting the number of square spaces (grids) it was moved upwards by.
Step one: Pick a corner of the triangle.
For this, we can pick corner D and note its position on the graph
Step two: Count the number of squares between point D and D'.
Once we count this, we can see that there are 5 square spaces between D and D'.
Step Three: Repeat the process for the other two corners of the rectangle.
If the square spaces counted are the same with what was obtained for the first corner, we can comfortably say that the rectangle was translated upwards by a distance of 5 units
please help me this is all due tomorrow!!!!!
Answers
Answer:
5
Step-by-step explanation:
Using Pythagoras' identity
The horizontal distance between A and B is 3 units
The vertical distance between A and B is 4 units
Thus
AB = [tex]\sqrt{3^3+4^2}[/tex]
= [tex]\sqrt{9+16}[/tex]
= [tex]\sqrt{25}[/tex]
= 5
the mass of the earth is 1/95 of the mass of the planet Saturn. the mass of the earth is 5.97×10^24 kilograms. calculate the mass of the planet Saturn, giving your answer in standard form, correct to 2 significant figures
Answers
Answer:
5.8 * 10^26 kg
Step-by-step explanation:
If the mass of the earth is 1/95 of that if saturn, this means that the mass of saturn is 95 times that of earth
From the question we were given the mass of the earth as 5.97 * 10^24
The mass of saturn is thus 95 * 5.97 * 10^24 =
576.15 * 10^24
This is 5.8 * 10^26 kg
Solve for r: C = 2 pi r. (1
Answers
Answer:
C/2pi = r
Step-by-step explanation:
C = 2 pi r
divide with 2 pi on both sides to solve for r
C/2pi = r
I WILL MARK BRAINLIEST IF YOU ARE RIGHT please help me ive been stuck on this ever since monday haha im not sure how to do it thanks!
Answers
I'll remember some concepts:
[tex]\log_{a}{b} = \log_{a}{c} \implies b=c\\\\\log_{a}{b}+ \log_{a}{c} = \log_{a}{b\cdot c}[/tex]
Question:
[tex]\log_{6}{(x^2-5x)}=\log_{6}{(2x-9)}+\log_{6}({x+3)}\\\\\\\log_{6}{(x^2-5x)}=\log_{6}{(2x-9)\cdot(x+3)}\\\\\\(x^2-5x) = (2x-9)\cdot(x+3)\\\\\\x^2-5x=2x^2+6x-9x-27\\\\\\0 = x^2+2x-27\\\\\\\Delta = 4+108 = 112\\\\\\\\\sqrt{\Delta} = \sqrt{112} = 4\sqrt{7}\\\\\\\\x = \dfrac{-2\pm 4\sqrt{7}}{2}\\\\\\\\x = -1 \pm 2\sqrt{7} \\\\\\\\x_1 = 2\sqrt{7} -1\\\\\\x_2 = -1-2\sqrt{7}[/tex]
The negative solution cant exist since we are talking about logarithms.
If a point is inside ZAVB, then m AVC + ___- MZAVB.
Answers
Answer:
BV
Step-by-step explanation:
i think is the missing gap
Simplify the expression. −9(4 − 3j)
Answers
Answer:
-36 + 27j
Step-by-step explanation:
−9(4 − 3j)
Distribute
-9 * 4 -9 * (-3j)
-36 + 27j
Answer:
27j - 36.
Step-by-step explanation:
−9(4 − 3j)
= -9 * 4 - 9 * (-3j)
= -36 + 27j
= 27j - 36
Hope this helps!
6TH GRADE MATH PLEASEHELP HELP ME ANSWER I WOULD APPRECIATE IT PLEASE
Answers
━━━━━━━☆☆━━━━━━━
▹ Answer
b. [tex]\frac{5}{8}[/tex]
▹ Step-by-Step Explanation
[tex]\frac{1}{16} + \frac{9}{16} = \frac{10}{16} \\\\= divide each side by 2\\\\\frac{10}{16} = \frac{5}{8}[/tex]
- Hope this helps!
CloutAnswers ❁
Brainliest is greatly appreciated!
━━━━━━━☆☆━━━━━━━
Answer:
10/16 but I’m pretty sure your teacher is gonna want for you to reduce to where you answer would actually be 5/8
Step-by-step explanation:
1/16 +9/16 you’ll add the top number which equals up to 10, but since both of your bottom number are the same you lol keep those making your answer 10/16. But most teacher prefer you to reduce so it’ll bring your answer to 5/8 since the only number that can go into both 10 and 16 is 2 which is what you did. In conclusion 5/8 is your answer.
Find the value of k for x^2 - 2kx+7k -12=0 so that they have two equal roots
Answers
Step-by-step explanation:
x^2 -2kx +7k -12 = 0
two equal roots -->Δ = b^2 -4ac = 4k^2 - 4(7k-12)=0 = 4(k^2 - 7k +12)=4(k-4)(k-3)=0
so k =3 and k =4
Which of these is an exponential parent function?
O A. f(x) = 2x +
nim
O B. f(x) = 2*
O c. f(x) = 2X + 2
O D. f(x) = 2x - 3
Answers
Answer:
The answer is option B.
[tex]f(x) = {2}^{x} [/tex]
Hope this helps you
Simplify the expression -4.6+( -1.4) .on the test , when maureen simplified the expression she got 3.2 .
Answers
Answer:
Step-by-step explanation:
-4.6+( -1.4)=
-4.6-1.4=-6 maureen is wrong, because both have the minus , so she should add with the minus symbol.