I need to know how to solve number 4 in order to get a solution

I Need To Know How To Solve Number 4 In Order To Get A Solution

Answers

Answer 1

Answer: 11x16x5=880

This means the answer is C


Related Questions

NO LINKS!!!! URGENT HELP PLEASE!!!

Please help me with these problems

Answers

Answer:

[tex]\sf g(x) = f(x\; \boxed{+ 3}\;) \;\boxed{- 6}[/tex]

Step-by-step explanation:

A translation is a transformation that moves every point of a figure the same distance and in the same direction. This means that the size, shape, and orientation of the figure are preserved, but its position is changed.

From inspection of the given diagram, we can see that the size, shape and orientation of the graph of function g is the same as that of the graph of function f, but its position has changed.  Therefore, the transformation is a translation.

We can use the vertex of both graphs to determine the translation.

The vertex of function f is the origin (0, 0).The vertex of function g is (-3, -6).

Therefore, the graph of function f has been moved 3 units left and 6 units down to create the graph of function g.

When we move "a" units left, we add the value of "a" to the x-value of the function.

When we move "a" units down, we subtract the value of "a" from the function.

Therefore:

[tex]\sf g(x) = f(x\; \boxed{+ 3}\;) \;\boxed{- 6}[/tex]

i have no idea what to do please help need the answer asap

Answers

The height of cuboid is 5.412 unit.

TSA of cuboid is 96 unit².

Volume of Cuboid is 61.704 unit³

We have,

LSA of cuboid = 72 square unit

width = 3

length = 4

So, LSA of cuboid = 72 square unit

2h(l+b) = 72

2h(4+3) = 72

14h = 72

h = 72/14

h= 5.142

Now, TSA of cuboid

= 2(lw + wh + lh)

= 2 (12 + 20.568 + 15.426)

= 95.988

= 96 unit²

Now, Volume of Cuboid

= l w h

= 4 x 3 x 5.142

= 61.704 unit³

Learn more about Lateral surface Area here:

https://brainly.com/question/15476432

#SPJ1

Can someone help me with this please i’m giving 50 points

Answers

The volume of each figure is given below:

Figure 1: [tex]819 \ feet[/tex]³

Figure 2: [tex]1,728 \ m[/tex]³

Figure 3: [tex]10,696 \pi[/tex] yards³

Figure 4: [tex]1,079.5[/tex] m³

Figure 5: [tex]4,680[/tex] yards³

Figure 1: In the first figure we can see a Cuboid. So below is the method to find the cuboid's volume:

Given dimensions:

Length (l) = [tex]9[/tex] feet, Breadth (b) = [tex]13[/tex] feet, Width (w) = [tex]7[/tex] feet.

Formula:

[tex]\[ V = l \times b \times w \][/tex]

[tex]\[ V = 9 \, \text{feet} \times 13 \, \text{feet} \times 7 \, \text{feet} \][/tex]

Figure 2: In the given figure we see a Prism. Below is the method to find its volume:

Given dimensions:

Hypotenuse = [tex]15[/tex] m, Base = [tex]9[/tex] m, Height = [tex]12[/tex] m, Width = [tex]16[/tex] m.

Formula:

[tex]\[ V = \text{Base} \times \text{Height} \times \text{Width} \][/tex]

[tex]\[ V = 9 \, \text{m} \times 12 \, \text{m} \times 16 \, \text{m} \][/tex]

Figure 3: Here we have the method to find the volume of a Cylinder:

Given dimensions:

Length (l) = [tex]26[/tex] yards, Radius (r) = [tex]11[/tex] yards.

Formula:

[tex]\[ V = \pi \times r^2 \times l \][/tex]

[tex]\[ V = \pi \times (11 \, \text{yards})^2 \times 26 \, \text{yards} \][/tex]

Figure 4: Here, we have the method to find the volume of a Cuboid:

Given dimensions are:

Length (l) = [tex]9[/tex] m, Breadth (b) = [tex]9[/tex] m, Height (h) = [tex]13.5[/tex] m.

Formula:

[tex]\[ V = l \times b \times h \][/tex]

[tex]\[ V = 9 \, \text{m} \times 9 \, \text{m} \times 13.5 \, \text{m} \][/tex]

Figure 5: Next figure is a Prism.

The dimensions that have been given to us are:

Hypotenuse = [tex]15[/tex] yards, Base = [tex]15[/tex] yards, Height = [tex]13[/tex] yards, Width = [tex]24[/tex] yards.

Formula:

[tex]\[ V = \text{Base} \times \text{Height} \times \text{Width} \][/tex]

Now we will calculate it according to the values given in the question:

[tex]\[ V = 15 \, \text{yards} \times 13 \, \text{yards} \times 24 \, \text{yards} \][/tex]

For more such questions on volume: https://brainly.com/question/14197390

#SPJ11

3) Use the figure to answer the
following question.


These prisms are made from the same size unit cubes.
Which rectangular prism has greater volume?

Some of the cubes might be hidden behind other cubes. Try to visualize all of the cubes.

Choose 1 answer:

*The 2 prisms have equal volume.
*Option A above
*Option B above
*Option C above

Answers

The blue rectangular prism have a greater volume of 36 cubic units which makes the option C correct.

Volume of a rectangular prism

The volume of a rectangular prism is calculated by multiplication of its three dimensions which are the length, width, and height . That is Length × Width × Height in the same units.

volume of red rectangular prism = 4 units × 3 units × 2 units

volume of red rectangular prism = 24 cubic units

volume of blue rectangular prism = 4 units × 3 units × 3 units

volume of blue rectangular prism = 36 cubic units

Therefore, the blue rectangular prism have a greater volume of 36 cubic units

Read more about volume here:https://brainly.com/question/23665595

#SPJ1

NO LINKS!! URGENT HELP PLEASE!!

6. Anisha invested $8000 in an account that earns 10% interest. How much money will she have in 15% in the interest is compounded quarterly?


7. Kevin borrowed $32,500 to purchase a new car. If the rate on the loan is 6% compounded annually, how much will he pay in total oer the course of the 5 year loan?

Answers

Answer:

6)  $35,198.32

7)  $43,492.33

Step-by-step explanation:

To solve both these problems, we can use the formula for compound interest:

[tex]\boxed{\begin{minipage}{8.5 cm}\underline{Compound Interest Formula}\\\\$ A=P\left(1+\frac{r}{n}\right)^{nt}$\\\\where:\\\\ \phantom{ww}$\bullet$ $A =$ final amount \\ \phantom{ww}$\bullet$ $P =$ principal amount \\ \phantom{ww}$\bullet$ $r =$ interest rate (in decimal form) \\ \phantom{ww}$\bullet$ $n =$ number of times interest is applied per year \\ \phantom{ww}$\bullet$ $t =$ time (in years) \\ \end{minipage}}[/tex]

Question 6

Given values:

P = $8,000r = 10% = 0.1n = 4 (quarterly)t = 15 years

Substitute the given values into the formula and solve for A:

[tex]A=8000\left(1+\dfrac{0.1}{4}\right)^{4\cdot 15}[/tex]

[tex]A=8000\left(1+0.025\right)^{60}[/tex]

[tex]A=8000\left(1.025\right)^{60}[/tex]

[tex]A=35198.3179905[/tex]

[tex]A=35198.32[/tex]

Therefore, the balance of Anisha's account after 15 years will be $35,198.32.

[tex]\hrulefill[/tex]

Question 7

Given values:

P = $32,500r = 6% = 0.06n = 1 (annually)t = 5 years

Substitute the given values into the formula and solve for A:

[tex]A=32500\left(1+\dfrac{0.06}{1}\right)^{1\cdot 5}[/tex]

[tex]A=32500\left(1+0.06\right)^{5}[/tex]

[tex]A=32500\left(1.06\right)^{5}[/tex]

[tex]A=43492.331272[/tex]

[tex]A=43492.33[/tex]

Therefore, Kevin will pay a total of $43,492.33 over the course of the 5 year loan (assuming he doesn't pay any of the loan back over those 5 years).

I need help with this quickly of 100 students,27 are taking caculus,26 are taking french and 13 are doing both. If a student is picked at random,what is the prob that the student is taking calculus OR french? Put the aneswer in decimal form rounded to two decimal places.

Answers

The required probability that a student is taking calculus or French, rounded to two decimal places, is 0.40.

The probability that a student is taking calculus or French is calculated by adding the number of students taking calculus and the number of students taking French and then subtracting the number of students taking both calculus and French. This gives us the number of students taking either calculus or French. We then divide this number by the total number of students, which is 100.

The number of students taking calculus is 27.The number of students taking French is 26.The number of students taking both calculus and French is 13.

So, the number of students taking either calculus or French is 27 + 26 - 13 = 40.

The probability that a student is taking either calculus or French is 40 / 100 = 0.40 = 40%.

Therefore, the probability that a student is taking calculus or French, rounded to two decimal places, is 0.40.

Learn more about probability here:

https://brainly.com/question/31120123

#SPJ1

Solve this problem below

Answers

The value of GH is 6.42

What is trigonometric ratio?

The trigonometric functions are real functions which relate an angle of a right-angled triangle to ratios of two side lengths.

sin(tetha) = opp/hyp

cos(tetha) = adj/hyp

tan(tetha) = opp/adj

GH is the hypotenuse and 3 is the adjascent to angle 65°

therefore;

tan65 = x/3

2.14 = x/3

x = 2.14 × 3

x = 6.42

therefore the value of GH is 6.42

learn more about trigonometric ratio from

https://brainly.com/question/24349828

#SPJ1

If the piece of paper is 60 inches long and 80 inches wide, how long is the diagonal cut that Zack made?

Answers

Answer:

100

Step-by-step explanation:

square root(L^2 + W^2)

PLEASE HELP

Angle RST is its own complement. What is the
measure of the angle that is supplementary to angle RST?

Answers

the measure of the angle that is supplementary to angle RST is 90 degrees

How to determine the angle

To determine the value of the angle, we need to know the following;

Complementary angles are defined as a pair of  angles whose sum is equal to 90 degreesThese angles are mostly right -anglesSupplementary angles are defined as a pair of angles whose sum is equal to 180 degreesthese angles are mostly on a straight line

From the information given, we have that;

Angle RST is its own complement

Then, angle RST =90 degrees

The supplementary angle should be y

Then,

RST + y= 180

substitute the values

y = 180 - 90

subtract the values

y= 90 degrees

Learn about supplementary angles at: https://brainly.com/question/12919120

#SPJ1

What is y and x equal to ?

Answers

The value of the variables will be 90° and 51°, respectively.

It is the close curve of an equidistant point drawn from the center. The radius of a circle is the distance between the center and the circumference.

The angle at the periphery will be 90 degrees if it is made by the largest chord which is the diameter. Then we have

x = 90°

The sum of the angles of the triangle will be 180 degrees. Then the value of 'y' is calculated as,

39° + x + y = 180°

39° + 90° + y = 180°

y = 51°

More about the circle link is given below.

https://brainly.com/question/11833983

#SPJ1

6. For each expression, write an equivalent expression by applying the distributive
property.
a. (y + 4)(y + 7)
b. (y + 3)(3-5)
c. (v - 6)²

Answers

Y^2+7y+4y+28
Y^2+11y+28


B).
3y-5y+9-15
-2y-6


C).
(v-6)(v-6)
v^2-6v-6v+36
v^2-12v+36

Suppose that the new England colonies of the basketball team is equally likely to win a game as not to win it.if 4 colonies games are chosen at random what is the probability that exactly 3 of those games were won by the colonies

Answers

The probability that exactly 3 of those games were won by the colonies is 25%.

We are given that;

Number of colonies= 4

Number of games= 3

Now,

To find the probability of exactly 3 wins out of 4 games, we can use the binomial probability formula1:

P(X = 3) = nCx * p^x * q^(n-x)

where n is the number of trials (4 games), x is the number of successes (3 wins), p is the probability of success (0.5), q is the probability of failure (1 - p = 0.5), and nCx is the combination of n things taken x at a time.

P(X = 3) = 4C3 * 0.5^3 * 0.5^(4-3) P(X = 3) = (4! / (3! * (4-3)!)) * 0.125 * 0.5 P(X = 3) = (24 / (6 * 1)) * 0.0625 P(X = 3) = 4 * 0.0625 P(X = 3) = 0.25

Therefore, by the probability the answer will be 25%.

Learn more about probability here;

https://brainly.com/question/9326835

#SPJ1

Luke is going to invest $7,600 and leave it in an account for 5 years. Assuming the
interest is compounded daily, what interest rate, to the nearest tenth of a percent,
would be required in order for Luke to end up with $8,900?

Answers

The nearest tenth of a percent an interest rate of 4.5% would be required for Luke to end up with $8,900 after 5 years with daily compounding.

The formula for compound interest to solve the problem:

A = [tex]P(1 + r/n)^{(nt)[/tex]

A is the final amount, P is the initial principal, r is the interest rate, n is the number of times the interest is compounded per year and t is the time in years.

P = $7,600

A = $8,900

t = 5 years

n = 365 (compounded daily)

The interest rate r.

Rearrange the formula and solve for r:

r = [tex]n[(A/P)^{(1/(nt))} - 1][/tex]

Substituting the values we know:

r = [tex]365[(8,900/7,600)^{(1/(5 \times 365))} - 1][/tex]

≈ 4.5%

For similar questions on Luke to end up

https://brainly.com/question/20696517

#SPJ11

Graph XY with endpoints X(-3, 1) and Y(4,-5) and its image after the composition.
Translation: (x, y)→(x, y + 2)
Rotation: 90° about the origin

Answers

The graph of its image after the composition is shown in graph.

We have to given that;

XY with endpoints are,

⇒ X (-3, 1) and Y (4,-5)

Now, After Translation (x, y)→(x, y + 2) we get;

X = (- 3, 1)

X' = (- 3, 1 + 2) = (- 3, 3)

Y = (4, - 5)

Y' = (4, - 3)

And, After Rotation: 90° about the origin.

That is, (x, y) = (y, - x)

The points of image are,

X'' = (3, 3)

Y'' = (- 3, - 4)

Thus, The graph of its image after the composition is shown in graph.

Learn more about the transformation visit:

https://brainly.com/question/30097107

#SPJ1

Hannah has two ribbons. One is 1 3/4 feet. The second ribbon is 3 feet long . How many inches of ribbon does Hannah have

Answers

The length of ribbon that Hannah has is 57 inches.

What is the length of the ribbon?

The length of the ribbon that Hannah has can be determined by adding the length of each ribbon together. Addition is the process of determining the sum of two or more numbers.

Before the addition can be done, feet has to be converted to inches.

1 foot = 12 inches

1 3/4 x 12

= 7/4 x 12 = 21 inches

3 x 12 = 36 inches  

Total length of the ribbons = 21 + 36  =57 inches

To learn more about addition, please check: https://brainly.com/question/349488

#SPJ1

Graph the function -40x^2 + 640x. Label the vertex.

Answers

The graph is given below.

The vertex for the function is located at (8, 1280).

We have,

The given function is a quadratic function of form f(x) = ax² + bx + c, where a = -40, b = 640, and c = 0.

To find the vertex, we need to use the formula:

x = -b/2a

where a = -40 and b = 640.

So,

x = -b/2a = -640/(2(-40)) = 8

Now, we can find the y-coordinate of the vertex by plugging x = 8 into the function:

y = -40(8)^2 + 640(8) = 1280

Therefore,

The vertex for the function is located at (8, 1280).

Learn more about functions here:

https://brainly.com/question/28533782

#SPJ1

simplify

3x2 + 5x - 7x-3-5x²-2

Answers

The simplified expression is [tex]-2x^2 - 2x - 5.[/tex]

To simplify the expression, combine like terms:

[tex]3x^2 + 5x - 7x - 3 - 5x^2 - 2[/tex]

Combine the [tex]x^2[/tex] terms:

[tex](3x^2 - 5x^2) + 5x - 7x - 3 - 2[/tex]

Simplify the [tex]x^2[/tex] terms:

[tex]-2x^2 + 5x - 7x - 3 - 2[/tex]

Combine the x terms:

[tex]-2x^2 - 2x - 3[/tex]

This is the simplified form of the expression.

Therefore, the simplified expression is [tex]-2x^2 - 2x - 5.[/tex]

We have grouped the terms with similar variables together and performed the necessary arithmetic operations to obtain the simplified form.

for such more question on expression

https://brainly.com/question/16763767

#SPJ11

19
A
Straight line A passes through the points (-1, 2) and (1,6)
Straight line B has equation y-x
Work out the coordinates of the point where line A crosses line B
You may use the grid to help you.
40
10
+
7
-2
14
T
6
5-
4-
3
2
O
-1-
-2-
-3
-5-
-6-
Answer (
2
3
5
6
[4 marks]

Answers

To find the coordinates where line A crosses line B, we need to find the point where the equations of the two lines intersect. Line A passes through the points (-1, 2) and (1, 6), and line B has the equation y - x.

First, let's find the equation of line A using the two given points:

Calculate the slope (m) of line A:
m = (y2 - y1) / (x2 - x1)
m = (6 - 2) / (1 - (-1))
m = 4 / 2
m = 2
Use the point-slope form of a line to write the equation of line A:
y - y1 = m(x - x1)
Taking (-1, 2) as a point on line A:
y - 2 = 2(x - (-1))
y - 2 = 2(x + 1)
y - 2 = 2x + 2
y = 2x + 4
Now we need to find the point where line A (y = 2x + 4) crosses line B (y - x).
Substitute y = 2x + 4 into the equation y - x:
2x + 4 - x = 0
x + 4 = 0
x = -4

Substitute the value of x into the equation of line A to find the corresponding y-coordinate:
y = 2x + 4
y = 2(-4) + 4
y = -8 + 4
y = -4

Therefore, the coordinates of the point where line A crosses line B are (-4, -4).

4 Caylin is doing an experiment.
She is studying a cell that adds
three every hour. She started
the experiment with 24 cells.
How many cells are there at
the end of 24 hours?

Answers

Answer:

Step-by-step explanation:

There are 96 cells

Describe the rule used to generate the pattern 1 4 9 16​

Answers

Answer:

1×1=1

2×2=4

3×3=9

4×4=16

3. There are shows scheduled for Theater A next week. All of the tickets for the seats have been sold. What is the expected attendance for next week?​

Answers

Answer:

Initially, national security was defined as the government's ability to protect its citizens from military attacks. Today, this definition also includes other non-military areas such as defense against crime and terrorism, economic security, environmental security, food security, energy security and cyber security.

1s Jeremy drew Figure 1 and Louisa drew Figure 2.
Part A
Figure 1
Figure 2
Jeremy says both figures are rectangles. Do you agree with Jeremy?
Support your answer.

Answers

Jeremy is wrong as I explained below.

As we know,

A rectangle is a quadrilateral with four right angles (90-degree angles). It is a type of parallelogram where opposite sides are equal in length. In a rectangle, the opposite sides are parallel and all angles are right angles. A square is a specific type of rectangle where all sides are equal in length. It is a regular quadrilateral with all angles equal to 90 degrees. In a square, all four sides are equal and all angles are right angles.

Thus, as we can see from the figure figure 1 is a rectangle and Figure 2 is a square so,

I do not agree with Jeremy.

Read more on regular polygon here:

brainly.com/question/20911145

#SPJ1

Complete question:

Point P(-1, 4) lies on line segment QR with endpoints Q (1, 7) and R (-9, - 8).
Match each ratio of segment lengths to the correct numerical ratio.
QP:PR
QP:QR
1:4 1:5 4:5

Answers

The ratios associated to the line segment QR are QP : PR = 1 : 4 and QP : QR = 1 : 5.

How to determine the partioning ratio of a line segment

In this problem we find a line segment defined by points Q(x, y) = (1, 7) and R(x, y) = (- 9, - 8) and whose partition point is P(x, y) = (- 1, 4), whose ratios must be found. First, find the lengths of line segments QP and PR by Pythagorean theorem:

QP = √[(- 1 - 1)² + (4 - 7)²]

QP = √[(- 2)² + (- 3)²]

QP = √13

PR = √[[- 9 - (- 1)]² + (- 8 - 4)²]

PR = √[(- 8)² + (- 12)²]

PR = 4√13

QR = 5√13

Second, determine the ratios:

QP : PR = √13 : 4√13

QP : PR = 1 : 4

QP : QR = √13 : 5√13

QP : QR = 1 : 5

To learn more on partitioning of line segments: https://brainly.com/question/30289274

#SPJ1

1. Allison is buying a home. It cost her $230,000. She has to put a down payment of 10% of the purchase price. How much is her down
payment?
$13,000
$23,000
$30,000
$2,000

Answers

THE ANSWER IS: 23,000

please help, I need the answer ​

Answers

The given equation is true when a and b are integers and x is not equal to 0.

The statement "xᵃ + xᵇ = x⁽ᵃ⁺ᵇ⁾ " is always true when a=b.

In this case, the exponents of x on both sides of the equation are equal, and the equation simplifies to xᵃ + xᵃ = x²ᵃ , which holds true.

When a=b, the exponents are the same, and the equation is satisfied.

However, the statement is not always true for all values of a and b. If a and b are not equal, then the equation does not hold true in general.

The statement is also not true when a=0 and b=0, as both sides of the equation become 1, but the equation becomes 1 + 1 = 1, which is not true.

Therefore, the statement "xᵃ + xᵇ = x⁽ᵃ⁺ᵇ⁾ " is always true when a=b, but not true in general for all values of a and b.

Learn more about Exponents and power here:

https://brainly.com/question/28515493

#SPJ1

Show that the union of a nonempty directed family of subgroups of a group G is a subgroup of G?

Answers

H contains the identity element, is closed under multiplication, and is closed under taking inverses, H is a subgroup of G, as desired.

Let [tex]\mathcal{H}[/tex]  be a non-empty directed family of subgroups of a group G. We need to show that the union [tex]H=\bigcup_{H_i\in\mathcal{H}}H_i[/tex] is a subgroup of G.

First, note that H is non-empty since[tex]\mathcal{H}[/tex] is non-empty. We also have [tex]1_G \in H_i[/tex] for all [tex]H_i\in\mathcal{H}[/tex], so [tex]1_G \in H.[/tex]

To show that H is closed under multiplication, let [tex]h_1,h_2\in H[/tex]. Then there exist [tex]H_{i_1},H_{i_2}\in\mathcal{H}[/tex] such that [tex]h_1\in H_{i_1}[/tex] and [tex]h_2\in H_{i_2}.[/tex] Since [tex]\mathcal{H}[/tex] is directed, there exists[tex]H_{i_3}\in\mathcal{H}[/tex] such that [tex]H_{i_1}\cup H_{i_2} \subseteq H_{i_3}[/tex]. Thus, [tex]h_1,h_2\in H_{i_3},[/tex]and since [tex]H_{i_3}[/tex] is a subgroup, we have [tex]h_1h_2\in H_{i_3} \subseteq H[/tex]. Therefore, H is closed under multiplication.

Finally, to show that H is closed under taking inverses, let h\in H. Then there exists [tex]H_i\in\mathcal{H}[/tex] such that [tex]h\in H_i[/tex]. Since [tex]H_i[/tex]is a subgroup, we have [tex]h^{-1}\in H_i \subseteq H[/tex]. Therefore, H is closed under taking inverses.

Since H contains the identity element, is closed under multiplication, and is closed under taking inverses, H is a subgroup of G, as desired.

for such more question on inverses

https://brainly.com/question/15066392

#SPJ11

Pedro look out a 4-year loan for $32,500 to help pay his college tuition. He has to pay 4% simple interest on the loan. How much interest will Pedro have to pay?

Answers

The interest Pedro will have to pay is $5200

Calculating how much interest will Pedro have to pay?

From the question, we have the following parameters that can be used in our computation:

Principal = $32.500

Rate = 4% simple interest

Time = 4 years

The formula of simple iinterest is

I = Principal * Rate * Time

substitute the known values in the above equation, so, we have the following representation

I = 32500 * 4% * 4

Evaluate

I = 5200

Hence, Pedro have to pay $5200 as interest

Read more about simple interest at

https://brainly.com/question/20690803

#SPJ1

How do I solve for this?

Answers

Answer: [tex]cosx =- \sqrt{ 1 - sin^2x}[/tex]

Step-by-step explanation:

Generally speaking; [tex]cos^2x + sin^2x = 1[/tex]

rearranging this gives us all sorts of cool things.

for now, we will use: [tex]cosx = \sqrt{ 1 - sin^2x}[/tex]

This however, is general.

In the third quadrant, cosine is negative. So cosx in QIII will be:

[tex]cosx =- \sqrt{ 1 - sin^2x}[/tex]

and thats the answer :)

a cooling machine requires at room temperature to be lowered from 50°Celsius at the rate of 5° Celsius every hour. What will be the room temperature after 8 hours after process begins?

Answers

The room temperature after 8 hours after the process begins would be 10°C.

What is the slope-intercept form?

In Mathematics and Geometry, the slope-intercept form of the equation of a straight line is given by this mathematical equation;

y = mx + c

Where:

m represent the slope or rate of change.x and y are the points.c represent the y-intercept or initial value.

Based on the information provided above, a linear equation that models the cooling machine is given by;

y = mx + c

y = -5x + 50

By substituting the given parameter (x = 8 hours), we have the following:

y = -5(8) + 50

y = -40 + 10

y = 10°C

Read more on slope-intercept here: brainly.com/question/7889446

#SPJ1

Tuy lồ,
18,
A radioactive compound with mass 480 grams decays at a rate of 15.1% per hour.
Which equation represents how many grams of the compound will remain after 2
hours?
OC=480(1-0.151)
OC=480(1-0.151) (1 - 0.151)
OC=480(1+0.151)²
OC=480(0.151)²
(1 -0.151) (1 - 0.151)

Answers

The correct equation to represent how many grams of the compound will remain after 2 hours is:

OC = 480(1 - 0.151)^2

Explanation:

The initial mass of the compound is given as 480 grams.
The decay rate per hour is 15.1%, which means 100% - 15.1% = 84.9% of the compound remains after each hour.
Since we want to calculate the remaining mass after 2 hours, we need to apply the decay rate twice.
The equation (1 - 0.151)^2 represents applying the decay rate twice, resulting in the remaining fraction of the compound after 2 hours.
Multiplying this remaining fraction by the initial mass (480 grams) gives us the grams of the compound that will remain after 2 hours.

Therefore, the correct equation is:
OC = 480(1 - 0.151)^2
Other Questions
Hormones are chemical signals that are released by cells in one part of the body that travel through the bloodstream to signal cells in another part of the body. Insulin is a hormone that is released by the pancreas that induces the uptake of glucose molecules from the bloodstream into cells. In this way, insulin lowers the overall blood glucose levels of the body. Osteoblasts and osteoclasts are two types of bone cells that play a role in regulating blood glucose levels (Figure 1).Binding of insulin to the insulin receptor on osteoblasts activates a signaling pathway that results in osteoblastsreleasing a molecule, OPG, that binds to neighboring osteoclasts. In response, the osteoclasts release protons (H+) and create an area of lower pH outside the cell. This low pH activates osteocalcin, a protein secreted in an inactive form by osteoblasts.The Esp gene encodes a protein that alters the structure of the insulin receptor on osteoblasts and interferes with the binding of insulin to the receptor. A researcher created a group of osteoblasts with an Esp mutation that prevented the production of a functional Esp product (mutant). The researcher then exposed the mutant strain and a normal strain that expresses Esp to glucose and compared the levels of insulin in the blood near the osteoblasts (Figure 2).Based on the information provided, which of the following best justifies the claim that osteocalcin is ahormone?a.The activation of the osteocalcin by a bone cell is pH dependent.b.The osteoblasts in the bone secrete osteocalcin, which causes cells in the pancreas to change their activity.c.The phosphorylation of the insulin receptor causes a response in osteoblast bone cells.d.The change in expression of Esp changes the insulin receptor activity of the osteoblast. Which option explains the first known mass extinction?ResponsesThe first known mass extinction is in Precambrian era. It was caused by carbon dioxide. The carbon dioxide was produced by some types of bacteria performing photosynthesis. This event wiped out most of the bacteria that did not use carbon dioxide.The first known mass extinction is in Precambrian era. It was caused by carbon dioxide. The carbon dioxide was produced by some types of bacteria performing photosynthesis. This event wiped out most of the bacteria that did not use carbon dioxide. The first known mass extinction is in Precambrian era. It was caused by oxygen. Oxygen was produced by some types of bacteria performing photosynthesis. This event wiped out most of the bacteria that did not use oxygen.The first known mass extinction is in Precambrian era. It was caused by oxygen. Oxygen was produced by some types of bacteria performing photosynthesis. This event wiped out most of the bacteria that did not use oxygen. The first known mass extinction is in Paleozoic era. It was caused by oxygen. The oxygen was produced by some types of bacteria performing photosynthesis. This event wiped out most of the bacteria that used oxygen.The first known mass extinction is in Paleozoic era. It was caused by oxygen. The oxygen was produced by some types of bacteria performing photosynthesis. This event wiped out most of the bacteria that used oxygen. The first known mass extinction is in Paleozoic era. It was caused by carbon dioxide. The carbon dioxide was produced by some types of bacteria performing photosynthesis. This event wiped out most of the bacteria that did not use carbon dioxide. why doheavy more massive nuclei contain more neutrons than protons tetrahedral [znx2yz]2+if w, x, y, and z are different monodentate ligands, how many geometric isomers are there for each ion? which must have the characteristics of being a nonprofit organization, and be independent of any political or governmental influence?unngousaidhiv/aids What happens if firms in a monopolistically competitive industry are making losses in the short run? Samantha wants to make sure her son, a four-year-old, really remembers as much of the family camping vacation as possible. What can she do to help her son remember this event? The Affordable Care Act set certain essential benefits that all health insurance plans must offer. Choose those benefits from the list below.- doctor visits- prescription drugs- hospitalization- maternity and newborn care- preventative care complete the sentences to describe the steps for customizing the quick access toolbar. click the file tab, then click . next, click . select the desired command, then click . finally, click ok. a common way for the freed people to express their freedom was to: Milano Pizza is a small neighborhood pizzeria that has a small area for in-store dining as well as offering take-out and free home delivery services. The pizzeria 's owner has determined that the shop has two major cost drivers- the number of pizzas sold and the number of deliveries made. Data concerning the pizzeria's costs appear below: 1. Prepare a flexible budget performance report that shows both revenue and spending variances and activity variances for the pizzeria for November. 2. Explain the activity variances. what two forces need to balance to keep a star from collapsing? what is the ph of a 0.0050 m solution of ba(oh)2(aq) at 25 c Belair Hotel Chain requires high quality eggs that are safe to consume. Suggest TWOgood agricultural practices that farmers should follow to supply eggs to the hotel. true or false? core funding for united nations organizations is given for a specific purpose by the donor and must be spent on that particular activity. the single group within society that is most vulnerable to reference group influence is: group of answer choices unmarried women, many of whom feel a need for stability in their lives. children, who base most of their buying decisions on outside influences. new immigrants who want to capture the american dream. the older consumer who feels somewhat left out of things. georgia o'keeffe's evening star no. vi is an example of . question 1 options: early modern art expressionist painting fauvist painting synthetic cubism Find f. (Use C for the constant of the first antiderivative and D for the constant of the second antiderivative.) f(x) Find the most general f. Use C for the constant of the first anti-derivative and D for the constant of the second anti-derivative. f "(x) 4x sin x Find the most general antiderivative of the function. fx)2x3x1.3 Fx)1.3x2.3+cx F(x)- Find f. (Use C for the constant of the first antiderivative and D for the constant of the second antiderivative.) f(x) 2 x3 + x5 The wheel on a car completes 25 revolutions in travels about 35.325 m rounded to the nearest centimeters, what is the diameter of the wheel use 3.14 for pi Can someone help me with the Russian Revolution commonlit