calculate the surface area of the following shape

1. 450cm2
2. 294cm2
3. 358cm2
4. 716cm2

The right answer is 170.25

please see the attached picture for full solution

hope it helps

Good luck on your assignment

Answer:

The function that models the mass of the carbon-14 sample remaining t years since the initial measurement is

M(t) = 741 e⁻⁰•⁰⁰⁰¹²¹ᵗ

with M(t) in grams and t in years.

Step-by-step explanation:

Radioactive reactions always follow a first order reaction dynamic

Let the initial concentration of Carbon-14 be M₀ and the concentration at any time be M

(dM/dt) = -kM (Minus sign because it's a rate of reduction)

(dM/dt) = -kM

(dM/M) = -kdt

 ∫ (dM/M) = -k ∫ dt 

Solving the two sides as definite integrals by integrating the left hand side from M₀ to M and the Right hand side from 0 to t.

We obtain

In (M/M₀) = -kt

(M/M₀) = e⁻ᵏᵗ

M(t) = M₀ e⁻ᵏᵗ

Although, we can obtain k from the information on half life.

For a first order reaction, the rate constant (k) and the half life (T) are related thus

T = (In2)/k

The half life is the time taken for the radioactive substance to decay to hAlf of its original amount, and according to the question, T = 5730 years

k = (In 2)/5730 = 0.000120968 /year. = 0.000121 /year

M(t) = M₀ e⁻ᵏᵗ

k = 0.000121 /year, M₀ = 741 grams

The equation then becomes

M(t) = 741 e⁻⁰•⁰⁰⁰¹²¹ᵗ

with M(t) in grams and t in years.

Hope this Helps!!!

Answer:

M(t)=741*(1/2)^t/5730

Answer: D

Step-by-step explanation:

72/150 x 100 = 48%

Answer:

Step-by-step explanation:

-0.75 + 0.4 + 0.4 - 0.75

-1.50 + 0.8

-0.70

Answer:

154 square units

Step-by-step explanation:

To find the area of a trapezoid, we need to:  [tex](a+b)\frac{h}{2}[/tex] , a and b being 17 and 5 in this case. h is 14. Substitute the variables and there you have it!

Answer:

x=4

Step-by-step explanation:

split the triangle into two and you will get another smaller triangle as shown in what I have drawn

so notice that there's a right angle?? this means that this is a right angle triangle and you can use Pythagoras theorem to solve it

so by Pythagoras theorem, 5^2= 3^2 + x^2

then you can solve for x

Answer:

280

Step-by-step explanation:

7*5*4*2=280

The quadratic functions that fits with its respective graph are.

1). f (x) = x^2 - 4x + 5

2). f (x) = -x^2 - 2x +3

3). f (x) = x^2 - 6x + 5

Here is how it looks.

The graph has been plotted to show the graphs that corresponds to the equations.

A quadratic equation is what can be written in the form of ax²+bx+c=0

The equations given are

f (x) = x² + 6x - 5

f (x) = x² - 4x + 5

f (x) = -x² - 2x +3

f (x) = x² + 4x - 5

f (x) = -x² + 2x - 3

f (x) = x² - 6x + 5

The quadratic equations are plotted to determine which graph is corresponding to which equation.

To know more about Quadratic Equation

https://brainly.com/question/2263981

#SPJ5

Answer:  y = 0x+3 or y = 3

The slope is 0 and the y intercept is 3. So m = 0 and b = 3.

Plug those into y = mx+b to get y = 0x+3, and that simplifies to y = 3.

This graphs out a horizontal line that passes through the two points (0,3) and (1,3).

Using the normal distribution, it is found that the minimum average wait time is of 192 seconds.

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

Normal Probability Distribution

Problems of normal distributions can be solved using the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

In this problem:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]0.675 = \frac{X - 185}{11}[/tex]

[tex]X - 185 = 11(0.675)[/tex]

[tex]X = 192[/tex]

The minimum wait time is of 192 seconds.

A similar problem is given at https://brainly.com/question/7001627

Answer:

vertical line through the point (-6,0)

Step-by-step explanation:

Vertical lines have an undefined slope.

Answer:

4. 30m; the coefficient is 30.

Step-by-step explanation:

According to wiki, a coefficient is a multiplicative factor in some term of a polynomial, a series, or any expression; it is usually a number. For example, 4x +7 has a coefficient of 4 and a variable of 'x'. The product of 6 and 5 is thirty and the product of 30 and 'm' is 30m.

Answer:

A

Step-by-step explanation:

first lets find the area of the square

A=l*w

12*12=144 m^2

then lets find the are of the circle

A=pi*r^2

A=3.14*(d/2)^2

the diameter of the circle is 12m

A=3.14*(12/2)^2

A=3.14*(6)^2

A=3.14*36

A=113.04 m^2

Now, lets subtract the area of the circle form the area of the square

144-113.04= 30.96 m^2

So, the answer is A

Answer:

12

Step-by-step explanation:

Look at the attachment

Answer:

62 cm

Step-by-step explanation:

48/4 = 12 so 1 side = 12

the base of the triangle therefore must also be 12 so 38 - 12 = 26

26 + 36 = 62

(2 sides of triangle + 3 sides of square)

Answer:

x^2+5x+5

Step-by-step explanation:

Answer:

f(x)+g(x) = x^2 + 5x+5

Step-by-step explanation:

f(x) = 4x+5

g(x) = x^2 +x

f(x)+g(x) = 4x+5+ x^2 +x

 Combine like terms

f(x)+g(x) = x^2 + 5x+5

Answer:

x=11

Step-by-step explanation:

Start by distributing:

4-2(x-5)= x-19

4-2x+10= x-19

Add 19 and 2x to both sides (the -19 and -2x will turn into 0)

4+10+19= 2x+x

Add 4+10+19

33= 3x

Divide by 3

x=11

Answer:

The next fraction in the sequence is:

Step-by-step explanation:

How you can see, the fractions are decreasing as the sequence advance, to identify the proportion in which it decreases, we will divide the first and the second fractions:

Now, we just need to divide all the fractions in 3/2 to identify the next fraction, as I show below:

As you can see, all the results own to the sequence given, for this reason, the last result 4/27 is the correct fraction next to 2/9.

Answer:

Step-by-step explanation:

Sea Level

Answer:

D

Step-by-step explanation:

Took it on Ed but it might be different

Answer:

D

Step-by-step explanation:

I did the math :)

Answer:

3t-21

2t²-6t

-3st-15s

9-x²

16x²-49

Step-by-step explanation:

In general

A(B+C)=AB+AC

(A+B)(D+C)=AD+AC+BD+BC

(A+B)(A-B)=A²+AB-BA-B²=A²-B²

ANSWER:

1) 3(t-7)

= 3t-21

2) 2t(t-3)

= 2t^2-6t

3) -3s(t+5)

= -3st-15s

4) (3+x)(3-x)

= 9-3x+3x-x^2

5) (4x-7)(4x+7)

= 16x^2 -28x+ 28x-49

Answer:

26.25 in³, y = 15x

Step-by-step explanation:

2. Volume is multiplying the length, width, and height of a rectangular prism together.

Therefore, the volume of this rectangular prism is 6 * 1.25 * 3.5

= 26.25 in³

3. The equation that represents the function table will describe the relationship between x and y. As we can see, for every x value, the y value grows by 15. Therefore:

y = 15x

Hope this helps :)

Answer:

b. Similar

Step-by-step explanation:

Although angles are congruent the triangles are not as sides need to be the same too.  Both shapes have 90 degree and 30 degree and add up to 180 degree in each triangle. Therefore each shapes angles are congruent but we dont know there size or scale, so they are similar. if they are the same (shape and size)- in other words, if the lengths of the sides and the angles are the same. So they are similar.

Because the angles are congruent and sizes are not shown they must be similar.

They cannot be obtuse as no angle is larger than 90 degrees and to be obtuse it would have to be larger than 90 deg and lower than 180 deg.

They cannot be equilateral as that means it couldn't be 30 degree and a right angle as equilateral means same angle sizes within 'one' triangle or for every or each triangle; as we know all triangles that are equilateral are 60, 60, 60 degrees to add up to 180 degree and cannot be an equilateral for this reason too as we have right angle triangles and equilateral are not right angles due to being 60 degree angle measures.

They are not fully congruent as we do not know there side measures so they have to be similar.

Answer:

B

Step-by-step explanation:

Two triangles are similar when they share at least two angles and the only difference is size.

Answer:

 y = 0

Step-by-step explanation:

-3(y-3)=9

One solution was found :

                  y = 0

Rearrange:

Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :

                    -3*(y-3)-(9)=0

Step by step solution :

Step  1  :

Equation at the end of step  1  :

 (0 -  3 • (y - 3)) -  9  = 0

Step  2  :

Equation at the end of step  2  :

 -3y  = 0

Step  3  :

Solving a Single Variable Equation :

3.1      Solve  :    -3y = 0

Multiply both sides of the equation by (-1) :  3y = 0

Divide both sides of the equation by 3:

                    y = 0

Answer:

No solution

Step-by-step explanation:

–3|y – 3| = 9

⇌       (Divide both sides by -3)

|y – 3| = -3  impossible

because  |y – 3| is greater than 0 and -3 is less than 0.

Answer:

(a) 3t + 15

      3(t + 5)

(b) 3a² + 9a

       3a(a+3)

(c) a²b + ab² + ab

       ab(a +b + 1)

(d) x² - 25

       x(x-25)

(e)  I'm not sure about this one, sorry

Answer:

150 hours

Step-by-step explanation:

Bill receives $800 as monthly stipend. But after this statement, it says Bill also works at a bookstore. So, it should mean that Bill does not receive $800 from the bookstore. He receives $800 from another job because of the word "also" which is mentioned in the second statement.

If the question is, to find out the number of hours Bill has to work each month if he assumes his monthly income to be $1,200 then 1200/8 = 150

But if the question is trying to mean that Bill receives $800 as a monthly stipend from the bookstore then this answer is wrong.

Then, we would have to calculate the difference.

$1200 - $800 = $420

Time = $420/8 = 50 hours.

Everything depends on the question. The question however needs some explanation, because this question is not written in a clear way.

Basically, the question is asking you if there’s any outliers. An outlier is a data point that seems to not follow the other data points. The outlier here is at about (8, 8000). This point does not follow the negative trend of the other points.

Answer:

a.-2

b.4

c.-3

Step-by-step explanation:

write a,b,c on top of each number to the left of the =0

Answer:

The values are: a ; (-2) b ; (4) c ; (-3)

Step-by-step explanation:

The quadratic equation is: ax^2+bx+c = 0

So, you can get your answers by using that.