Please help I will mark brain!

The strain at the tension bars is 0.000908.

So, the strain at the tension bars can be calculated as:

$\epsilon =\frac{181.52}{200\times10^3}=0.000908$

Given data; b=200mm, h=400mm, cc=40mm, stirrups=10mm, fc'=32Mpa, fy=415

Mpa, 3-32mm diameter bars1) Calculation of depth of neutral axis

As we know that;$\frac{c}{y}=\frac{\sigma_{cbc}}{\sigma_{steel}}$

Putting all the values;$\frac{c}{y}

=\(\frac{0.446}{\frac{415}{200}}$$\frac{c}{y}=0.021$\)

Now, we know that;$\frac{c}{y}+\frac{y}{2h}=0.5$

Solving above equation we get;$y=0.375\text{ }m$

So, the depth of the neutral axis is $0.375\text{ }m$2)

Calculation of strain at the tension barsWe know that;

\($\frac{\sigma_{cbc}}{\sigma_{steel}}=\frac{c}{y}$\)

Putting values;\($\frac{\sigma_{cbc}}{415}=\frac{0.446}{0.375}$\)

Solving we get;$\sigma_{cbc}=181.52\text{ }MPa$

We know that;Strain = $\frac{Stress}{E}$

Where;E is the modulus of elasticity of steel.

To know more about tension visit:

https://brainly.com/question/10169286

#SPJ11

Answer:

\(y = (x + \frac{1}{2} )^{2} + \frac{7}{4}\)

Step-by-step explanation:

\(y = {x}^{2} + x + 2\)

We can covert the standard form into the vertex form by either using the formula, completing the square or with calculus.

\(y = a(x - h)^{2} + k\)

The following equation above is the vertex form of Quadratic Function.

Vertex — Formula

\(h = - \frac{b}{2a} \\ k = \frac{4ac - {b}^{2} }{4a} \)

We substitute the value of these terms from the standard form.

\(y = a {x}^{2} + bx + c\)

\(h = - \frac{1}{2(1)} \\ h = - \frac{ 1}{2} \)

Our h is - 1/2

\(k = \frac{4(1)(2) - ( {1})^{2} }{4(1)} \\ k = \frac{8 - 1}{4} \\ k = \frac{7}{4} \)

Our k is 7/4.

Vertex — Calculus

We can use differential or derivative to find the vertex as well.

\(f(x) = a {x}^{n} \)

Therefore our derivative of f(x) —

\(f'(x) = n \times a {x}^{n - 1} \)

From the standard form of the given equation.

\(y = {x}^{2} + x + 2\)

Differentiate the following equation. We can use the dy/dx symbol instead of f'(x) or y'

\(f'(x) = (2 \times 1 {x}^{2 - 1} ) + (1 \times {x}^{1 - 1} ) + 0\)

Any constants that are differentiated will automatically become 0.

\(f'(x) = 2 {x}+ 1\)

Then we substitute f'(x) = 0

\(0 =2x + 1 \\ 2x + 1 = 0 \\ 2x = - 1 \\x = - \frac{1}{2} \)

Because x = h. Therefore, h = - 1/2

Then substitute x = -1/2 in the function (not differentiated function)

\(y = {x}^{2} + x + 2\)

\(y = ( - \frac{1}{2} )^{2} + ( - \frac{1}{2} ) + 2 \\ y = \frac{1}{4} - \frac{1}{2} + 2 \\ y = \frac{1}{4} - \frac{2}{4} + \frac{8}{4} \\ y = \frac{7}{4} \)

Because y = k. Our k is 7/4.

From the vertex form, our vertex is at (h,k)

Therefore, substitute h = -1/2 and k = 7/4 in the equation.

\(y = a {(x - h)}^{2} + k \\ y = (x - ( - \frac{1}{2} ))^{2} + \frac{7}{4} \\ y = (x + \frac{1}{2} )^{2} + \frac{7}{4} \)

Answer:

a = 6 , b = 5

Step-by-step explanation:

using the rule of radicals

\(\sqrt{a}\) × \(\sqrt{b}\) = \(\sqrt{ab}\)

then

\(\sqrt{180}\)

= \(\sqrt{36(5)}\)

= \(\sqrt{36}\) × \(\sqrt{5}\)

= 6\(\sqrt{5}\)

with a = 6 and b = 5

Work Shown:

r = 6 = radius

V = volume of a sphere of radius r

V = (4/3)*pi*r^3

V = (4/3)*pi*6^3

V = 904.77868423386

V = 904.8

I used my calculator's stored version of pi (instead of something like pi = 3.14)

The units "cubic meters" can be abbreviated to m^3 or \(m^3\)

The volume of the given sphere is 904.8 cubic meters. Thus, option B is the answer.

         The volume of a sphere can be calculated using the formula:

V = \(4/3 * \pi * r^3\),

Where V is the volume and r is the radius of the sphere.

\(\pi\) = 3.14

The radius of the sphere (r) = 6m

Plugging in the given radius of 6m into the formula, we get:

V = (4/3) * \(\pi\) * (6^3)

V = 1.333 * \(\pi\) * 216

V = 1.333 * 3.14 * 216

V = 4.1866 * 216

V = 904.8 cubic meters

Therefore, when the radius of the sphere is 6m, the volume of the sphere is 904.8  cubic meters.

To practice more problems based on the sphere:

https://brainly.com/question/28228180

Answer:20

Step-by-step explanation: 5+5+5+5

Answer:

4 times 5 is equal to 20.

Step-by-step explanation:

Therefore , the solution of the given problem of circle comes out to be

n =4 for the length of chord.

Each spot that is a certain distance from that other point in the plane forms a circle (center). As a result, it is a curve composed of vertices that are isolated from one another in the plane by a specific distance. Furthermore, it is axis of rotation symmetric about the center at all angles. The circle's enclosed, two-dimensional plane has every pair of endpoints uniformly separated from the "center." Draw a line thru the circle to create a circular symmetry line. Additionally, at every angle, it rotates equally about the center.

Here,

Given :

2 cords AB & CD can intersect at point P,

according to the following theorem:

|AP| |PB| = |CP| |PD|

We obtain

=>(n-2) x 16 = 8x (n+8)

using the theory of intersection between two cords.

Use the following formula:

=>16n+32 = 8n +64

=>8n -32 = 0

=>8n=32.

8 divided by both sides.

n = 32/8

n = 4

Consequently, n has a value of 4.

Therefore , the solution of the given problem of circle comes out to be

n =4 for the length of chord.

To know more about circle visit:

https://brainly.com/question/29142813

#SPJ1

Answer:

It's the function on the right

Step-by-step explanation:

The asymptotes for the function on the left are x= -5 and y= -2 which means that it isn't correct.

The temperature at half past eleven would be 2 °C.

In mathematics, an algebraic expression is an expression built up from constant algebraic numbers, variables, and the algebraic operations.

Given is that the temperature in Austria one morning was -5 degrees Celsius at eight o clock and increased by 2 degrees Celsius every hour until twelve o clock.

We can write the temperature variation as a function of hour {x} as -

T{x} = (- 5 + 2{x})°C

For half past eleven, we will have -

{x} = 3.5

So, we can write -

T{x} = (- 5 + 2 x 3.5)°C

T{x} = 2 °C

Therefore, the temperature at half past eleven would be 2 °C.

To solve more questions on algebraic expression, visit the link below -

brainly.com/question/27911936

#SPJ1

Answer:-5/7 i think that is wrong

Step-by-step explanation:

a). As of March 1, 2022, the reference exchange rate for 1 euro is 117.201 Russian rubles.

b). Approximately 1,745,034.9 rubles for our 14,900 euros.

According to the European Central Bank, as of March 1, 2022, the reference exchange rate for 1 euro is 117.201 Russian rubles.

The Russian ruble/euro cross rate is the exchange rate between the Russian ruble and the euro. It represents the amount of Russian rubles that can be exchanged for one euro. In this case, we are given that we want to exchange 14,900 euros for Russian rubles. To determine how many rubles we will obtain, we need to multiply the amount of euros by the exchange rate. Using the exchange rate from the European Central Bank, we get:

14,900 euros x 117.201 rubles/euro = 1,745,034.9 rubles

Therefore, we will obtain approximately 1,745,034.9 rubles for our 14,900 euros.

Learn more about Russian rubles here:

https://brainly.com/question/3178509

#SPJ11

Answer:

1 23/25

Step-by-step explanation:

3 1/5 * 3/5

Change the mixed number to an improper fraction

(5*3+1 )/5 = 16/5

16/5 * 3/5 = 48/25

Change to a mixed number

25/25 + 23/25

1 23/25

Answer:

1 23/25

Step-by-step explanation:

turn the mixed number into an improper fraction : 16/5, then multiply straight across: 16/5 x 3/5 = 23/25

Converting 1,000 mg to 1 gram would require moving the decimal place zero places to the left.

Unit conversion is a process with multiple steps that involves multiplication or division by a numerical factor or, particularly a conversion factor. The process may also require selection of the correct number of significant digits, and rounding. Different units of conversion are used to measure different parameters. By definition conversion of units means the conversion between different units and measurements of the same quantity done by the process of multiplication or division. In maths, conversion is the process of changing the value of one form to another for example inches to millimeters, or liters to gallons. Units are used for measuring length, measuring weight, measuring capacity, measuring temperature, and measuring speed.

If we want to calculate how many Grams are 1000 Milligrams we have to multiply 1000 by 1 and divide the product by 1000. So for 1000, we have (1000 × 1) ÷ 1000 = 1000 ÷ 1000 = 1 Gram.

So finally 1000 mg = 1 g

Thus, converting 1,000 mg to 1 gram would require moving the decimal place zero places to the left.

To learn more about unit conversion, visit brainly.com/question/19420601

#SPJ4

Answer:

Step-by-step explanation:

If im understanding the question correctly

3 days: 36 pages

5 days: 60 pages

15 days: 180 pages

12 days: 144 pages

102 days: 1224 pages

Answer:

\(\large\boxed{49}\)

Step-by-step explanation:

Belivers to skeptics = 15 : 7

From the above ratio, we know that:

Believers = 15

Skeptics = 7

There were 105 believers, then we can rewrite the original ratio to be equal to the new one, to solve for x.

15 : 7 = 105 : x

Ratios can be written as fractions. Rewrite to simplify.

\(\frac{15}{7}\) = \(\frac{105}{x}\)

Cross multiply (numerator * denominator = numerator * denominator)

7 * 105 = 15 *x

735 = 15x

Divide both sides of the equation by 15

x = 49

There were 49 skeptics.

Hope this helps! Let me know if you have any questions!

Answer:

The answer is -0.75

Step-by-step explanation:

7/12-5/6+1/8-5/8

find Lcm of 12 and 8 is 24

7/12-5/6+1/8-5/8

-------------------------

24

2(7)-4(5)+3(1)-3(5)

-------------------------

24

14-20+3-15

-----------------

24

= -18

-----

24

=-3/4

= -0.75

Step-by-step explanation:

If we assume that the temperature decreased at a constant rate, we can use a linear equation to model the relationship between the temperature (y) and time (x) since the cold front began to move in.

First, we can find the rate of decrease (slope) of the temperature by using the formula:

slope = (y2 - y1) / (x2 - x1)

where (x1, y1) = (2, 49) and (x2, y2) = (6, 39).

slope = (39 - 49) / (6 - 2) = -2.5

So the temperature is decreasing at a rate of 2.5°F per hour.

Next, we can use the point-slope form of a linear equation to write the equation of the line:

y - y1 = m(x - x1)

where m is the slope and (x1, y1) is one of the points on the line.

Using (x1, y1) = (2, 49) and m = -2.5, we get:

y - 49 = -2.5(x - 2)

Simplifying:

y = -2.5x + 54

So the equation that models the relationship between the temperature (y) and time (x) since the cold front began to move in is y = -2.5x + 54.

Answer:

1g

Step-by-step explanation:

64

32

16

8

4

2

1

The speed of the object is 12121 m per week.

What does it mean to do speed?

The object is moving at a speed of 2 centimeters every 7 seconds.

We need to find the speed in m per week.

2 cm = 0.02 m

1 week = 604800 s

7 s =  \(1.65 * 10^{-6} week\)

Speed = distance/time

So,

\(v = \frac{0.02 m}{1.65 * 10^{-6 } week}\)

\(v = 12121.21 m/ week\)

or v = 12121 m/ week

So, the speed of the object is 12121 m per week.

Learn more about speed

 brainly.com/question/7359669

#SPJ4

Answer:

The answer is F) none of the above. The correct sales tax is $902.72

Step-by-step explanation:

Answer:

3.64  = x

Step-by-step explanation:

Using tignometry!

As it is an right angle triangle we can use 'tan' function.

therefore:

tan(20) = x/10

tan(20) * 10 = x

3.639702343 = x

3.64  = x

Easy!

Give brainliest if it helped

Thanks!

The tangent or tanθ in a right angle triangle is the ratio of its perpendicular to its base. The value of x in the given triangle is 3.6 cm.

The tangent or tanθ in a right angle triangle is the ratio of its perpendicular to its base. it is given as,

\(\rm Tangent(\theta) = \dfrac{Perpendicular}{Base}\)

where,

θ is the angle,

Perpendicular is the side of the triangle opposite to the angle θ,

Base is the adjacent smaller side of the angle θ.

The tan function for the angle which measures 20° can be written as,

\(\rm Tan(\theta)=\dfrac{Perpendicular}{Base}\\\\tan(20^o)=\dfrac{x}{10}\\\\x = 3.639\approx 3.6\ cm\)

Thus, the value of x in the given triangle is 3.6 cm.

Learn more about Tangent (Tanθ):

https://brainly.com/question/10623976

The factored expression of 8 + 12 is 4 * (2 + 3) and the factored expression of 120 + 300 is 60 * (2 + 5)

Rewrite 8 + 12 using the GCF and factoring.

The expression is given as:

8 + 12

Express 8 and 12 as the products of the factors.

So, we have:

8 + 12 = 4 * 2 + 4 * 3

Factor out 4 in the above expression

8 + 12 = 4 * (2 + 3)

Hence, the factored expression of 8 + 12 is 4 * (2 + 3)

Rewrite 120 + 300 using the GCF and factoring.

The expression is given as:

120 + 300

Express 120 and 300 as the products of the factors.

So, we have:

120 + 300 = 60 * 2 + 60 * 5

Factor out 60 in the above expression

120 + 300 = 60 * (2 + 5)

Hence, the factored expression of 120 + 300 is 60 * (2 + 5)

Read more about factors at:

https://brainly.com/question/7921711

#SPJ1

Answer:

0.19 50% 15/20 9/10 95%

Step-by-step explanation:

I know

Answer:

(x, y) = (1, 4)

Step-by-step explanation:

Given:  x+y=5 and 2x-y=-2

Solve for y and x

x+y=5; solve for y

y = 5 - x; substitute into other equation

2x-y= -2

2x - (5 - x) = -2

2x - 5 + x = -2; combine x's

3x - 5 = -2; add 5 to both sides

3x =3; divide by 3

x = 1; use this to solve for y

x+y=5

1 + y = 5; subtract 1 from both sides

y = 4

(x, y) = (1, 4)

Answer:

3111

Step-by-step explanation:

rewrite (√3111)^2 as 3111

Answer:

\(14 {x}^{4} + 2 {x}^{3} + 7 {x}^{2} + 4\)

Answer:

\(y=x^{2} -3x+2\)

Step-by-step explanation:

Give me Brainllest plz T-T

Answer:

0

Step-by-step explanation:

Answer:

D. 274

Step-by-step explanation:

divide 1787 by 6.5 yds to get the answer, 274.

Answer:

45 is the answer I think I don't know