A cube has sides of length 5 cm.
Find the total surface area of the cube.
Please explain as well, as I struggle with surface area.

Given that,

Length of 4 pieces of wood are 16.75 inches, 9 inches, 24.25 inches, and 12.5 inches.

To find,

The length of the strip of wood.

Solution,

Mark glues together four pieces of wood to make one long strip.

Long strip = The sum of 16.75 inches, 9 inches, 24.25 inches, and 12.5 inches.

L = 16.75 + 9 + 24.25 + 12.5

= 62.5 inches

Hence, the strip of wood is 62.5 inches long.

Answer:

Step-by-step explanation:

f(x) = 4x - 12

f(2) = 4*2 - 12

f(2) = 8 - 12

f(2) = - 4

The above question is incomplete

Complete Question

Maurice takes a roast out of the oven when the internal temperature of the roast is 165°F. After 10 minutes, the temperature of the roast drops to 145°F.

The temperature of the room is 72°F.

How long does it take for the temperature of the roast to drop to 120°F?

Answer:

27.3143 minutes

Step-by-step explanation:

Using the Newton's law of cooling: The formula is given as:

T (t) = T₀ + T₁ e^ (rt)

Where

T₀ = Original temperature of the room (°F) ; 72°F

T₁ = Temperature of the roast (°F)

This is calculated as:

165 - 72 =93°F

r = Rate of cooling (°F/min)

t = time (min)

Substituting the values, we can obtain:

T (t) = 72 + 93 e ^rt

Step 1

We solve for r

From the question, we know that: the temperature dropped to 145°F after 10 minutes,

t =10 mins and T(10) = 145 °F

Substituting

T(10) = 72 +93 e^10r

145 = 72 + 93 e^10r

145 - 72 = 93 e^10r

Divide both sides by 93

(145-72)/93 = e^(10r)

We take the natural logarithm of both the left and right hand sides

In [(145-72)/93 ] = In (e^10r)

In [(145-72)/93 ] = 10r

-0.24214 =10r

r = -0.24214/10

r = -0.02421 °F/min

Substituting into

-0.02421 °F/min for r in the Equation below

T (t) = 72 + 93 e ^rt

T (t) = 72 + 93 e^ (-0.024214t)

To find the time taken to reach 120°F, we substitute into equation

120 = 72 +93 e^(-0.024214 ×t)

(120-72)= 93 e^ (-0.024214t)

Divide bother sides by 93

[(120-72)/93] = e^-0.024214t

We take the natural logarithm of both sides

In[(120-72)/93] = In(e^-0.024214t)

-0.66139 = -0.024214t

Divide both sides by -0.024214t

t = -0.66139/ -0.024214

t =27.3143 minutes

Answer:

Inequality: x ÷ 4 ≤ 5

Solution: x ≤ 20

Step-by-step explanation:

quotient = division

at most = either ≥ or ≤

x ÷ 4 ≤  5

x ÷ 4 x 4 ≤ 5 x 4

x ≤ 20

I hope this helped and if it did I would appreciate it if you marked me Brainliest. Thank you and have a nice day!

Answer:

D) is the answer

Step-by-step explanation:

ohh ok i understand TUV is (x,y)

so (x+8,y-3) is the T'U'V

so subtract 8 and add 3 to this translation

(x-8,y+3)

looking at U

t goes to (10,-5)

and that is the only one so the answer is D

The coordinates or TUV are  (-6,-3),(-1,6),(0,-2), the correct option is C.

(SCALING ZOOMING SIMILAR FIGURES)

Suppose a figure (pre image) is dilated (dilated image) by scale factor of k.

So, if a side of the figure is of length L units, and that of its similar figure is of M units, then:

L = k × M

where 'k' will be called as scale factor.

The linear things grow linearly like length, height etc.

The quantities which are squares or multiple of linear things twice grow by square of scale factor. Thus, we need to multiply or divide by k² to get each other corresponding quantity from their similar figures' quantities.

So area of first figure = k² × area of second figure

Similarly,

Volume of first figure = k³ × volume of second figure.

It is because we will need to multiply 3 linear quantities to get volume, which results in k getting multiplied 3 times, thus, cubed.

Given;

TUV is translated to image T'U'V , as shown below , by the rule (x,y) -> (x+8, y-3)

Coordinates of T'U'V; (2,-6),(7,3),(8,-5)

Now, coordinates of TUV;

T coordinate=(-6,-3)

U coordinate=(-1,6)

V coordinate=(0,-2)

Therefore, coordinates before dilation will be (-6,-3),(-1,6),(0,-2)

Learn more about dilation here:

https://brainly.com/question/27212783

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Answer:

A six sided number cube is rolled and a coin is flipped

Step-by-step explanation:

These are two different objects that have 0 correlation with eachother

Answer:

Below.

Step-by-step explanation:

You can use any 4 x values, so we could have:

- 2  0  2  4

Now find the corresponding y values by substitution in the equation:

For x = -2, y = 1/2 *-2 + 2 = 1.

For x = 0, y = 1/2 * 0 + 2 = 2.

For x = 2 , y = 1/2* 2 + 2 = 3.

For x =  4 , y = 1/2 * 4 + 2 = 4.

So the table is:

-2   0    2   4

1    2    3   4

You then plot the points (-2, 1), (0, 2), (2, 3) AND (4, 4) on the grid  and draw a line through them The graph will be a straight line.

Answer:

Volume drank by Mennu = 250 ml

Step-by-step explanation:

Given:

Volume of bottle = 2 liter = 2000 ml

Mennu drank = 1/8 of bottle

Find:

Volume drank by Mennu

Computation:

Volume drank by Mennu = Volume of bottle x Mennu drank

Volume drank by Mennu = 2,000 x 1/8

Volume drank by Mennu = 250 ml

Answer:

a) x(x-2)

b) 6x(2x+2)

dont know c and d sorry

Step-by-step explanation:

Answer:

1/15x^2(x-360)

Step-by-step explanation:

Answer:

n= 27

Step-by-step explanation:

n+6+2n+3=90

3n=81

n=27

Answer:

m = -1

Step-by-step explanation:

y = -x can also be written as

y = -1x + 0

The slope is -1.

In slope intercept equations, if the slope is '1' or '-1' they would usually drop the one.

Hope this helps.

Answer:

the slope of the line y = -x will be: m = -1

The line graph is also attached below.

Step-by-step explanation:

The slope-intercept form of the line equation

[tex]y = mx+b[/tex]

where

Given the line

[tex]y = -x[/tex]

comparing with the slope-intercept form of the line equation

Therefore, the slope of the line y = -x will be: m = -1

The line graph is also attached below.

Answer:

the answer is 1 7/10+ 2 1/2y +6

Step-by-step explanation:

Answer:

19.9 is the answer

Step-by-step explanation:

10 percent of 199 is 19.9

Answer:

Step-by-step explanation:

C [tex]\leq[/tex] 4

answere=-1

this is the answere and the explanation.

By substituting x = -1/2, the expression [tex]\(f(x) = \frac{\sqrt{2x} + 3}{6x - 5}\)[/tex] can be simplified to[tex]f(x) = \(f(-\frac{1}{2}) = \frac{\sqrt{3 - \sqrt{2}}}{-8}\).[/tex].

To find [tex]\(f(-\frac{1}{2})\)[/tex], substitute [tex]\(-\frac{1}{2}\)[/tex] into the function f(x):

[tex]\(f(-\frac{1}{2}) = \frac{\sqrt{2 \cdot (-\frac{1}{2}) + 3}}{6 \cdot (-\frac{1}{2}) - 5}\)[/tex]

Now, simplify the expression inside the square root:

[tex]\(f(-\frac{1}{2}) = \frac{\sqrt{-\sqrt{2} + 3}}{-3 - 5}\)\\\(f(-\frac{1}{2}) = \frac{\sqrt{3 - \sqrt{2}}}{-8}\)[/tex]

So, [tex]\(f(-\frac{1}{2}) = \frac{\sqrt{3 - \sqrt{2}}}{-8}\)[/tex].

To know more about substitution, refer here:

https://brainly.com/question/29560851

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Answer:

Step-by-step explanation:

25% of $60 is:

She saved $15 so far

Answer:

Theory

Step-by-step explanation:

The theory refers to an explanation of something. It should be understandable also it contains some logic behind that

It is a formal, logical for events that involved the descriptions that related the things to one another

Therefore the above represent the theory

Hence, the same is to be considered

Answer:

Original price of ticket = $12.5

Step-by-step explanation:

Given:

8% amount = $1

Find:

Original price of ticket

Computation:

Original price of ticket = 1(100/8)

Original price of ticket = $12.5

Answer:

25%

Step-by-step explanation:

[tex]percentage \: loss \\ \\ = \frac{28 - 21}{28} \times 100 \\ \\ = \frac{7}{28} \times 100 \\ \\ = \frac{1}{4} \times 100 \\ \\ = 25\% [/tex]

Answer:

Solution in photo

Step-by-step explanation:

Answer:

If the population increases by 1.7% every year then

1994 population = 1993 population * .017 + 1993 population

1994 population = 5,491,800

Answer is "d".

Step-by-step explanation:

Answer:

x = 16[tex]\sqrt{3}[/tex]

y = 8[tex]\sqrt{3}[/tex]

Step-by-step explanation:

For this type of equation, you are going to use the following trigonometric signs tangent and cosine.  Tangent is used for the y-variable and cosine is used for the x-variable.  For the y-variable, it is 24 tan 30 to get 8 root 3 as your answer.  For the x-variable, you would get ([tex]\sqrt{3}[/tex] / 2)x = 24.  Divide that root number to get 16[tex]\sqrt{3}[/tex] as your x variable.

Answer: 16 sqrt 3. 8 sqrt 3

Step-by-step explanation:

Answer:

The unit rate that Jeremy can row is 1.33 miles per hour.

Step-by-step explanation:

Unit rate is defined as the distance over a time period. The distance that Jeremy can row is given and the time period is given.

The distance (miles)=1/3=0.3333333...

time period: 1/4

0.33333/0.25=1.333333

Step-by-step explanation:

=4+5-6

=9-6

=3d^2

plzzzz mark me brainliest if it helps you then

Final Answer: [tex]f = -7[/tex]

Steps/Reasons/Explanation:

Question: Solve [tex]f - 4 = -11[/tex].

Step 1: Add 4 to both sides.

[tex]f =-11 + 4[/tex]

Step 2: Simplify [tex]-11 + 4[/tex] to [tex]-7[/tex].

[tex]f = -7[/tex]

~I hope I helped you :)~

Answer:

√ 96

log

(100 )

3 ^5 / 3

Step-by-step explanation:

Answer:

20 calls

Step-by-step explanation:

20 calls were made before 6 pm

mean=30

Step-by-step explanation:

mean=Efx/n

=300+p/10+p

= 30(10+p)/10+p

=30

Answer:

the equation requires you to collect like terms that bringing 5 to the next side which let it -5

And then use Quadratic equation in solving

Formula: -b +or - square root b2 -4ac

everything divide by 2a

Answer:

\/5+4 and -\/5+4

Step-by-step explanation:

\/ is square root