A force of 4.05×10⁶ N was exerted on one side of the wall.
What is the force?Force is an external agent capable of changing the state of rest or motion of a particular body. It has a magnitude and a direction.
The following data were obtained from the question:
Breadth (B) = 4 m
Length (L) = 10 m
Standard pressure (P) = 101325 Nm¯²
Next, we shall determine the area of the wall. This can be obtained as follow:
Area (A) = length (L) × breadth (B)
A = 10 × 4
A = 40 m²
Finally, we shall determine the force exerted on one side of the wall as follow:
Standard pressure (P) = 101325 Nm¯²
Area (A) = 40 m²
Pressure (P) = Force (F) /Area (A)
101325 = F/40
F = 101325 × 40
F = 4.05×10⁶ N.
Therefore, a force of 4.05×10⁶ N was exerted on one side of the wall.
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Help please!
Change the function f(x) = 2x² + 8x +5 into vertex form.
f(x) == 2(x+4)² +5
f(x) == 2(x+2)² +5
f(x) == 2(x+2)² −3
f(x) == 2(x+4)² - 27
Answer:
C) f(x) = 2(x+2)² - 3
Explanation:
Given function:
f(x) = 2x² + 8x +5
Vertex form: y = a(x - h)² + kFor this function:
⇒ y = 2x² + 8x + 5
⇒ y = 2(x² + 4x) + 5
⇒ y = 2(x + 2)² + 5 - 2(2)²
⇒ y = 2(x + 2)² - 3
What is the area of a circle with a Radius of 4 and a Diameter of 2?
(Its on Khan)
Answer:4^2≈50.26548
Step-by-step explanation:
πr2.
Where r is the radius and π≈3.14 , the ratio of a circle's circumference to its diameter.
Plugging in 4 from the radius, we get.
42π
⇒16π inches.
This is our exact answer. Alternatively, we can plug in 3.14 for π to get.
50.26 inches.
n box B there are 4 tablets more than in box A. Draw an expression for the number of tablets in box
Answer:
B=A+4
Step-by-step explanation:
since there are 4 more in box B you just have to add 4 to box A to get the number is box B
Miriam has 2 yellow tea cups and 5 brown teacups. Which ratio compares the number of brown tea cups to the total number of teacups?
A. 5:2
B. 2 to 7
C. 5 to 7
D. 2/5
F. 5:7
D. 5/7
The answer is 5:2 ration, it's already fully simplified
I hate math with a burning passion
========================================================
Explanation:
Let's go through the answer choices one by one to see which are true, and which are false.
A) False. The three dots at the end of the given list of numbers tells us the pattern goes on forever. This sequence has infinitely many terms. B) True. The first four terms are -3, 5, -7, 9, showing that the fourth term is indeed 9.C) False. The fifth term is -11, and not 2. If it said f(2) = 5, then the statement would be true because the 2nd term is 5.D) True. The domain is {1, 2, 3, 4, ...} which are indexes for the term numbers. For example, the input n = 4 is part of the domain to get us to f(4) = 9. In other words, the input 4 leads to the output 9.E) True. The notation (4,9) is another way of saying "the 4th term is 9", which is equivalent to the notation f(4) = 9.[tex]\sf Solve\; it \;with \;steps:-[/tex]
[tex]\bf 5\left(2x+1\right)=6x+13[/tex]
~ Enjoy the things!
Hello ~
My name is Sxnnysoul, and I will be answering your question today! :D
→ Answer :-[tex]\sf{x \: = \: 2}[/tex]
→ Explanation :-[tex]\sf{Expand \: 5(2x \: + \: 1): \: 10x \: + \: 5}[/tex]
[tex]\sf{10x \: + \: 5 \: = \: 6x \: + \: 13}[/tex]
[tex]\sf{Subtract \: 5 \: from \: both \: sides:}[/tex]
[tex]\sf{10x \: + \: 5 \: - \: 5 \: = \: 6x \: + \: 13 \: - \: 5}[/tex]
[tex]\sf{Simplify:}[/tex]
[tex]\sf{10x \: = \: 6x \: + \: 8}[/tex]
[tex]\sf{Subtract \: 6x \: from \: both \: sides:}[/tex]
[tex]\sf{10x \: - \: 6x \: = \: 6x \: + \: 8 \: - \: 6x}[/tex]
[tex]\sf{Simplify:}[/tex]
[tex]\sf{4x \: = \: 8}[/tex]
[tex]\sf{Divide \: both \: sides \: by \: 4:}[/tex]
[tex]\sf{\frac{4x}{4} = \frac{8}{4}[/tex]
[tex]\sf{Simplify:}[/tex]
[tex]\sf{x \: = \: 2}[/tex]
Hope It Helps! ~
~Learn With Sxnnysoul ~
[tex]\underline{Answer :}[/tex]
ꜱ x ɴ ɴ ʏ ꜱ ᴏ ᴜ ʟ
Answer:
x = 2
Step-by-step explanation:
[tex]\sf 5(2x+1)=6x+13[/tex]
Let's apply the distributive property to multiply 5 by 2x+1.
[tex]\sf 10x+5=6x+13[/tex]
Subtract 6x from both sides.
[tex]\sf 10x+5-6x=13[/tex]
Combine like terms.
[tex]\sf 4x+5=13[/tex]
Subtract 5 from both sides.
[tex]\sf 4x=13-5[/tex]
[tex]\sf 4x=8[/tex]
Divide both sides by 4.
[tex]\sf x =\cfrac{8}{4} [/tex]
[tex]\sf x = 2[/tex]
3(2x + 8) = 0 what is x
Answer: Heyaa!
The Answer, x= −4
Step-by-step explanation:
Divide both sides by the numeric factor on the left side, then solve.
Hopefully this helps you~
- Matthew :)
have an amazing day <3
Answer:
X = - 4
Step-by-step explanation:
3(2x+8) =0
6x + 24 = 0
6x = 0 - 24
6x = - 24
X = - 24/6
X = - 4
Hope this helpssssss
A sector of a circle has a central angle of 150 ∘ . Find the area of the sector if the radius of the circle is 6 cm.
Answer:
[tex]A = 15\pi[/tex]
Step-by-step explanation:
1. 150 degrees is 5/12 of a circle
2. Find area but divide by 5/12:
[tex]A = \frac{5}{12} \pi (6)^2[/tex]
3. Solve
[tex]A = \frac{5}{12} \pi (36)[/tex]
4. Simplify
[tex]A = 15\pi[/tex]
please help me........asap
Answer:
If I had to guess I would choose "a group of employees determined by a random number generator"
Drag the tiles to the correct boxes to complete the pairs. simplify the mathematical expressions to determine the product or quotient in scientific notation. round so the first factor goes to the tenths place. arrowright arrowright arrowright arrowright
The simplified mathematical expressions with the first factor to the nearest tenth are:
7.8 x 10
3.3 x [tex]10^{3}[/tex]
2.1 x [tex]10^{-3}[/tex]
3.7
What are the simplified mathematical expressions ?Scientific notation is used to simplify large numbers in smaller numbers. In order to write a number in scientific notation , the number is written as a decimal number, between 1 and 10 and multiplied by a power of 10.
(8.6 x [tex]10^{7}[/tex]) . (9.1 x [tex]10^{-8}[/tex])
= (8.6 x 9.1) x [tex]10^{7 - 8}[/tex]
= 78.26 x[tex]10^{-1}[/tex]
= 7.8 x 10
(6.9 x [tex]10^{5}[/tex]) . (4.8 x [tex]10^{-3}[/tex])
= 33.12 x [tex]10^{5 - 3}[/tex]
3.3 x [tex]10^{3}[/tex]
(3.7 x [tex]10^{2}[/tex]) . (4.6 x [tex]10^{-3}[/tex]) ÷ (1.4 x [tex]10^{-6}[/tex]) . (5.7 x [tex]10^{8}[/tex])
= 1.7 x 10 ÷ 8 x10²
0.21 x [tex]10^{-2}[/tex]
2.1 x [tex]10^{-3}[/tex]
(3.1 x [tex]10^{5}[/tex]) . (5.3 x [tex]10^{-9}[/tex]) ÷ (7.3 x [tex]10^{2}[/tex]) . (6.1 x [tex]10^{-7}[/tex]) = 3.7
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pleasee helpp asapp!!!
Please help asap! I don’t understand it
Step-by-step explanation:
From given graph
f(-3)= (-3)
f(1)=1
Answer:
f(-3) = -3
f(1) = 1
Step-by-step explanation:
f(x) means the "function of x".
Therefore, the number in the bracket after the letter f is the value of x.
f(-3) means find the value of the function (y-value) when x = -3
f(1) means find the value of the function (y-value) when x = 1
To find f(-3), find x = -3 on the x-axis.
Now trace vertically until you meet the line. Read the value of y at this point.
⇒ f(-3) = -3
To find f(1), find x = 1 on the x-axis.
Now trace vertically until you meet the line. Read the value of y at this point.
⇒ f(1) = 1
PLEASE HELP!!! 60 POINTS!!!
Otis measured the heights of several sunflowers. He found
that their heights were 2, 3, 5, 7, and 8 feet.
Otis found that the mean was 5 feet and the range was 6
feet.
Which numbers describe the center and spread of this data set?
A. 2 feet describes the center, and 8 feet describes the 8 spread.
B. 8 feet describes the center, and 2 feet describes the spread.
C. 6 feet describes the center, and 5 feet describes the spread.
O D. 5 feet describes the center, and 6 feet describes the spread. 6
Answer:
D
Step-by-step explanation:
the mean will describe the center and the range will describe the spread, I know this because the mean is in the middle, and the only other thing for the range would be the spread.
chord properties of a circles
Answer:
In a circle, when a line passes through the center of the circle and is perpendicular to a chord, the line will bisect the chord. In other words, the perpendicular bisector of a chord always passes through the center of the circle.
Step-by-step explanation:
Nurse jackson examines immunization records for this past winter at the
school where she works.
got flu didn't get flu total
vaccinated
25
150
175
not vaccinated 60
65
125
total
85
215
300
how many students were not vaccinated and did not get the flu?
a. 65
b. 60
c. 150
d. 125
Answer:
a
Step-by-step explanation:
Answer:
A. 65
Step-by-step explanation:
Have a blessed day :)
is 9999 in the sequence n²+2n?
Answer:
No
Step-by-step explanation:
To find out, all we need to do is plug in 9999 into the sequence.
[tex]9999 = n^2 + 2n[/tex]
By completing the square, we get [tex](n+1)^2 = 1001[/tex]. 1001 is not a perfect square, which means that 9999 is not in the sequence.
hope this helped! :)
Please help will give brainliest!
Area of a Polygon
In this unit, you learned about finding the area of triangles and rectangles using coordinates. But there are many more shapes than just triangles and rectangles, and these shapes often can be relatively complex. You can still find properties of such polygons by dividing them into an arrangement of simpler shapes—polygons that you’re familiar with.
When a two-dimensional figure is composed of smaller figures, its area is equal to the sum of the areas of the smaller figures. When finding the area of a polygon, it is helpful to know that any polygon can be partitioned into a series of triangles.
You will use GeoGebra to partition a polygon into a set of triangles. Go to partitioning a polygon, and complete each step below.
Part A
Draw line segments to partition the given polygons into triangles. There is more than one correct answer. Take a screenshot of your construction, save it, and insert the image in the space below.
Step-by-step explanation:
the area of a polygon is defined as the area that is enclosed by the boundary of the polygon / area =n*a*ri/2
Solve but show all steps
x - 1/2=3
1/3y=50
Answer: x = 3 1/2, y = 150
Step-by-step explanation:
x-1/2 = 3
add 1/2 to both sides
x -1/2 (+1/2) = 3+1/2
x = 3 1/2
1/3y = 50
multiply by reciprical on both sides
3(1/3y) = 50(3)
y = 150
plssssssss helpppppp
50 points for whoever could someone please assist me with this question
The first step to the proof is ∠QRS + ∠STQ = 180°
What is a cyclic Quadrilateral?A cyclic quadrilateral is a quadrilateral circumscribed by a circle in which all the vertices of the quadrilateral touch the circle.
Analysis:
Join line Qx and Sx together.
2∠QRS = reflex ∠QxS ( twice angle at the circumference is that at center)
2∠STQ = ∠QxS( twice angle at circumference is that at the center)
Also ∠QXS + reflex ∠QXS = 360(angle at a point)
2∠QRS + 2∠STQ = 360
2(∠QRS + ∠STQ) = 360
∠QRS + ∠STQ = 180°
In conclusion, ∠QRS + ∠STQ = 180°
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What is a possible value for the missing term of the geometric sequence?
43, ___, 688, ...
Answer:
172
Step-by-step explanation:
The formula for the missing term of a geometric sequence is the square root of x times y.
please help my last semester is ending in 4 days
(edmentum + 70 points)
Part 1
f(x) + g(x)
3x+2 + 4x
(3x+4x) + 2
7x+2
Therefore, f(x)+g(x) = 7x+2
================================================
Part 2
f(x) = 3x+2
f( g(x) ) = 3( g(x) ) + 2 ... replace every x with g(x)
f( g(x) ) = 3(4x) + 2 .... plug in g(x) = 4x
f( g(x) ) = 12x + 2
================================================
Part 3
Let's say x is the number of minutes.
Furthermore, let's say f(x) and g(x) are phone plan costs. Computing f(x)+g(x) will give the total cost of both plans combined. This is one example where it's useful to add the functions.
---------
As for a second example, let's say g(x) = 4x represents the total cost to fill up your car when you use x gallons of gas. The 4 out front means gas is $4 per gallon.
When we compute f( g(x) ) = 3*g(x) + 2, we could have 3 different cars that use the same amount of gas (x). The +2 at the end could be something like we have to pay $2 for parking.
Overall, f( g(x) ) = 12x + 2 is the total cost of filling up 3 cars and paying for the extra $2 parking.
Notice the output of g(x) is fed directly as the input of f(x). Think of it like a chain reaction.
This is one example of many where function composition is useful.
Greg is building a fence around his garden. For every 4 feet of fencing, the cost is $36.
Complete the table below showing the length of the fence and the cost. Length of fencing and cost
a number cube, with sides labeled 1-6, is rolled. Which is the theoretical probability of rolling a number less than 6, in simplest form? SHOW YOUR WORK
Step-by-step explanation:
There is 6 possibilities, 1 in 6 is cancelled, leaving 5/6.
I'm supposed to find the volume of a cube but the only number I am given is 6. Do I multiply 6 three times?
4) A movie poster was 3 inches wide and 9 inches tall. What is the perimeter of the poster?
help me please please
Answer:
answer is (1) 6yd 68 meter (2) 8dy 190 meter (3) 6yd 127 meter (4) 10 yd s
Write the following phrase as an algebraic expression. Use n for "a number."
three increased by the quotient of a number and two
a.
3+ n
2
b.
22
3 + -
2
C.
3(2 + 2)
d.
3 + 222
Please select the best answer from the choices provided
A
B
C
Answer:
3+(n/2) i think that is a? i cant rlly tell
Step-by-step explanation:
Kelsey had $65 to spend on books. Each book cost $5.50, and there was a $7.50 fee for shipping. She let b equal the number of books she can purchase and wrote the inequality 5.50 b + 7.5 less-than 65 to represent the situation. Which statements describe the reasoning used to determine if Kelsey’s inequality is correct? Select two options. The inequality symbol is correct because she must spend less than $65. The inequality symbol is incorrect because she can spend up to and including $65. The expression 5.50b + 7.5 is correct because $5.50 per book is 5.50b and that is added to the shipping fee of $7.50 to determine the total purchase price. The expression 5.50b + 7.5 is incorrect because $5.50 per book and $7.50 should be combined to $9.50b to determine the total purchase price. The inequality symbol is correct because she cannot spend more than $65. PLS NEED ASAP!!
Answer: Kelsey had $65 to spend on books. Each book cost $5.50, and there was a $7.50 fee for shipping. She let b equal the number of books she can purchase
Step-by-step explanation:
Answer:
its B and C
Step-by-step explanation:
One line passes through the points \blueD{(-6,0)}(−6,0)start color #11accd, left parenthesis, minus, 6, comma, 0, right parenthesis, end color #11accd and \blueD{(-4,6)}(−4,6)start color #11accd, left parenthesis, minus, 4, comma, 6, right parenthesis, end color #11accd. Another line passes through points \green{(5,-2)}(5,−2)start color #28ae7b, left parenthesis, 5, comma, minus, 2, right parenthesis, end color #28ae7b and \green{(8,7)}(8,7)start color #28ae7b, left parenthesis, 8, comma, 7, right parenthesis, end color #28ae7b.
Are the lines parallel, perpendicular, or neither? its khan academy
Answer:
paralell
Step-by-step explanation: