Find the surface area and volume of the solid. Round each measure to the nearest tenth, if necessary

Answer: 64

Step-by-step explanation:

8x=

8(8)=

8*8=64

Answer:

64

Step-by-step explanation:

To solve this equation, we have to plug 8 into x.

Plug 8 into x and multiply

8(8)

= 64

Take care and have a lovely rest of your day! :)

Expressing x in terms of 0 and y gives x = 0 + (32/23)y

Given the expression 23x-32y = 0 with number bases x and y.

This equation actually expresses 0 in terms of x and y as 0 is isolated to one side of the equality.

We have to express x in the same equation in terms of 0 and y.

So we need to isolate x to one side of the equality.

23x-32y = 0

⇒23x = 0 +32y

Dividing throughout by 23 gives,

⇒ x = 0 + (32/23)y

This is x expressed in terms of 0 and y

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A triangle is a 2-dimensional shape that has 3sides and 3 interior angles. The height of the isosceles triangle is approximately 49.5cm

The theorem states that the square of the hypotenuse is equal to the sum of the square of other two sides.

From the given question, the hypotenuse is 50cm and the base of the triangle is 14cm

Determine the height using the expression

h² = 50² - (14/2)²

h² = 2500 - 7²

h² = 2500 - 49

h = √2451

h = 49.5cm

Hence the height of the triangle is approximately 49.5cm

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a. The expression of the amount of phosphorus-32 remaining as a function of time t is A(t) = [tex]6.6\left(\frac{1}{2}\right)^{t / 14}[/tex].

b. The time when 1 gram remaining is 38.1145 days.

The half-life is the amount of time it takes for half of a unstable nuclei to decay. Each substance has its own half-life.

Now, as per the question;

Exponential growth is given by the formula;

[tex]A(t)=A_0(1+r)^t[/tex]

Where,

A(t) = amount at time t.

A₀ = Initial amount of the nuclei (= 6.6)

r = rate of increasing( = -1/2; as decay is always negative)

t = time (= t/14)

Part a. Calculate the expression for the amount of phosphorus-32 remaining as a function of time t as-

Substituting all the values in the equation;

[tex]\begin{aligned}&A(t)=6.6\left(1+\left(-\frac{1}{2}\right)\right)^{t / 14} \\&A(t)=6.6\left(\frac{1}{2}\right)^{t / 14}\end{aligned}[/tex]

This is the requires expression.

Part b. Calculate the time there be 1 gram remaining as;

This time can be written as A(t) = 1.

Substitute the value in the equation.

[tex]\begin{aligned}&A(t)=6.6\left(\frac{1}{2}\right)^{t / 14} \\&1=6.6\left(\frac{1}{2}\right)^{t / 14}\end{aligned}[/tex]

[tex]\left(\frac{1}{2}\right)^{t / 14}=\frac{10}{66}[/tex]

Further solving;

t = 38.1145 days.

Thus, the time taken by phosphorus-32 to remain as 1 gram is 38.1145 days.

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Answer:

y = [tex]\frac{16}{11}[/tex]x - [tex]\frac{-56}{11}[/tex]

Step-by-step explanation:

First find the slope.  The slope is the change in y over the change in x

[tex]\frac{8 - (-8)}{9 - (-2)}[/tex] = [tex]\frac{8+8}{9+2}[/tex] = [tex]\frac{16}{11}[/tex]

Next, find the y-intercept.  Use the slope and one of the points.  It does not matter which point that you use.  I will use the point (9,8)

y = mx + b

8 = [tex]\frac{16}{11}[/tex](9) + b

8 = [tex]\frac{144}{11}[/tex] + b  Subtract 144/11 from both sides

[tex]\frac{-56}{11}[/tex] = b

h = 2A/b

An equation is a group of expressions formed by using arithmetic operations, along with an equality sign.

Here, we are given an equation, A = 1/2bh

As we are not given any values for any of the variables, we can find the value of h in terms of A and b only.

To do this, we keep h on one side and take all the other terms to the other side of the equation.

A = 1/2bh

Multiplying both sides by 2,

⇒  2A = 2/2bh

2A = bh

now, dividing both sides by b,

2A/ b = bh/b

2A/b = h

h = 2A/b

Thus, the value of h is 2A/b

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Answer:

C an D are correct

Step-by-step explanation:

we add the two angles so as to find the value of x,

(6x+2)+(4x+3)=85

10x+5=85

10x=80

x=8

m/JMK=6x+2=6(8)+2=48+2=50°

m/KML=4x+3=4(8)+3=32+3=35°

so only C and D are correct

The measure of the angles ∠JMK and ∠KML will be 50° and 35°, respectively. Then the correct options are C and D.

The angle is the distance between the intersecting lines or surfaces. The angle is also expressed in degrees. The angle is 360 degrees for one complete spin.

The measure of angle ∠JML is 85°. ∠JMK = 6x + 2 and ∠KML = 4x + 3.

We know that the sum of the angles ∠JMK and ∠KML is equal to the angle ∠JML. Then we have

∠JMK + ∠KML = ∠JML

6x + 2 + 4x + 3 = 85°

10x = 80°

x = 8°

Then the angles will be

∠JMK = 6 × 8 + 2

∠JMK = 48 + 2

∠JMK = 50°

∠KML = 4 × 8 + 3

∠KML = 32 + 3

∠KML = 35°

The measure of the angles ∠JMK and ∠KML will be 50° and 35°, respectively.

Then the correct options are C and D.

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Answer:

Find the value of t0.05 for a t-distribution with 9 degrees of freedom. round your answer to three decimal places, if necessary.

Step-by-step explanation:

Find the value of t0.05 for a t-distribution with 9 degrees of freedom. round your answer to three decimal places, if necessary.

Answer:

In linear algebra, an augmented matrix is a matrix obtained by appending the columns of two given matrices, usually for the purpose of performing the same elementary row operations on each of the given matrices.

Step-by-step explanation:

Answer:

a) 512cm³    b) 2 × 2 ×2

Step-by-step explanation:

A CUBE'S LENGTH WIDTH AND HEIGHT ARE EQUAL

a) Volume of a cube = length × width × height

as the length width and height are equal so it will be

8 × 8 × 8 = 512

b) Volume of a cube = length × width × height

as length, width and height are equal lets suppose the value of each of them will be = x

volume = x × x × x

vol = x³

8 = x³

∛8 = x

x = 2

Answer:

Step-by-step explanation:

What functions have a domain of (- ∞ ∞?

Which function below does not have a domain of (-∞0, ∞0)?○ f(x) = {²+2²+2,[4x-1, ifr <1if x ≥1O f(x)= 2² +1Of(x) = √2r-1+4Of(r) = 3r² - 5x + 24.5

The domain of any polynomial function (including quadratic functions) is x∈(−∞,∞). Functions of even degree will have a bounded range (from below if the leading coefficient is positive, from above if it's negative), and functions of odd degree will have range y∈(−∞,∞).

Answer:

. .......... ok............

Answer:

6703488×1810

9

Step-by-step explanation:

Answer:

the place value of 7 is =70.000000

Step-by-step explanation:

Answer:

10e + 11

Step-by-step explanation:

12e + 6 - 2e + 5 ← collect like terms

= (12e - 2e) + (6 + 5)

= 10e + 11

The expected activity time for the given statement is = 5.33

The average amount of time required for an activity when it is repeatedly performed is known as the expected time. The weighted average of the three estimated times, i.e., the optimistic time, the most probable time, and the pessimistic time, is used in project management analysis to determine the expected time of activity.

A network model called the Program Evaluation and Review Technique (PERT) allows for randomness in the timing of activity completion. PERT was created in the late 1950s again for a massively labor-intensive Polaris project for the US Navy. It might shorten a lot of time and cost needed to finish a project.

optimistic = 2

most likely = 5

pessimistic = 10.

We will use the following formula to calculate the anticipated time for each activity in order to solve this problem:

Expected Time = (Optimistic Time + (4 x Most likely) + Pessimistic Time) / 6

Putting the values into formula:

= (2 + (4 x 5) + 10)/ 6

= (2 + 20 + 10) / 6

= 5.33

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Answer: 710

Step-by-step explanation:

260 + 450 = 710

Answer:

We are looking for a new number which is 260 more than 450.

We will get the new number by adding 260 to 450.

We write it down as:

450+260=710

And finally the solution for: What number is 260 more than 450?

is 710

All Done!

Answer:

x = -50 and x = 30

Step-by-step explanation:

Given equation:

[tex]\left|\dfrac{1}{5}x+2\right|-6=2[/tex]

To solve an equation containing an absolute value, isolate the absolute value on one side of the equation:

[tex]\implies \left|\dfrac{1}{5}x+2\right|-6+6=2+6[/tex]

[tex]\implies \left|\dfrac{1}{5}x+2\right|=8[/tex]

Set the contents of the absolute value equal to both the negative and positive value of the number on the other side of the equation, then solve both equations:

Equation 1 (negative value)

[tex]\begin{aligned} &\textsf{Given}: &\dfrac{1}{5}x+2&=-8\\ &\textsf{Subtract 2 from both sides}: \quad & \dfrac{1}{5}x+2-2&=-8 -2\\&\textsf{Simplify}:&\dfrac{1}{5}x&=-10\\ &\textsf{Mulitply both sides by 5}: &5 \cdot \dfrac{1}{5}x&=5 \cdot-10\\&\textsf{Solution}:& x & = -50\end{aligned}[/tex]

Equation 2 (positive value)

[tex]\begin{aligned} &\textsf{Given}: &\dfrac{1}{5}x+2&=8\\ &\textsf{Subtract 2 from both sides}: \quad &\dfrac{1}{5}x+2-2&=8 -2\\&\textsf{Simplify}:&\dfrac{1}{5}x&=6\\ &\textsf{Mulitply both sides by 5}:&5 \cdot \dfrac{1}{5}x&=5 \cdot6\\ &\textsf{Solution}:&x & = 30\end{aligned}[/tex]

Solutions

Therefore, the solutions are:  x = -50 and x = 30.

Answer:

On a coordinate plane, a curve approaches y = 0 in quadrant 1 and curves up into quadrant 2. It goes through (2, 49) and (0, 100).

Which is the graph of the given function?

Here we have the exponential decay:

f(x) = 100*(0.7)^x

So, as x increases, y will tend to zero (because this is a decay, the number with the exponent x is between zero and 1).

Now, if we evaluate in x = 0 we get:

f(0) =  100*(0.7)^0 = 100

Then it goes through the point (0, 100).

If we evaluate in x = 2, we get:

f(2) = 100*(0.7)^2 = 49

Then it also goes through the point (2, 49).

With all that in mind, the correct option is:

"On a coordinate plane, a curve approaches y = 0 in quadrant 1 and curves up into quadrant 2. It goes through (2, 49) and (0, 100)."

Answer: D (the bottom right)

Step-by-step explanation: The first problem stated is that Niki scored 20 points (positive) so you would point the arrow directed positively. Then she lost 10 points, which would be negative so the direction of the arrow would point back to a positive 10. Then lost another 25 points, leading to -15 (10+(-25)= -15

Answer:

6

Step-by-step explanation:

Because 5×12 is 60

and 1×12 is 12

Add them and you get 72 and 6

Hope this helps!

It should be noted that the value of 98.3 x 104.7 will be 10292.01.

It should be noted that the first method will be to multiply the values directly. This will be:

= 98.3 x 104.7

= 10292.01

The second method will be to convey them to the nearest while number and multiply. This will be

= 98.3 × 104.7

= 98 × 105

= 10290

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Answer:

Step-by-step explanation:

The equation of the line is written in the slope-intercept form, which is: y = mx + b, where m represents the slope and b represents the y-intercept. In our equation, y = 6x + 2, we see that the slope of the line is 6.

Hope this helps :)

Answer:

See below

Step-by-step explanation:

Slope intercept form for a line equation is :

  y = m x + b      m is the slope of the line

                          b is the y-axis intercept ( this occurs when x = 0)

Answer:

Yes. The sequence of transformations is an isometry because it contains only rigid transformations.

Step-by-step explanation:

Yes, The sequence of transformations is an isometry because it contains only rigid transformations. Then the correct option is B.

A spatial transformation is each mapping of feature space to itself and it maintains some spatial correlation between figures.

The vertices of △ABC are (1, 2), (3, 2), and (2, 7), respectively. A sequence of transformations maps △ABC to △DEF. The vertices of △DEF are (4, −4), (6, −4), and (5, 1), respectively.

The rule of the transformation is given as,

(4, -4) ⇒ (1 - x, 2 - y)

Yes, The sequence of transformations is an isometry because it contains only rigid transformations. Then the correct option is B.

The graph of transformation is attached below.

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Answer:

-7/6

Step-by-step explanation:

negative 5 over 6−

5

6

≈negative 0.833−0.833