For a scientific experiment, a physicist must make sure that the temperature of a metal does not get colder than −120°C or the metal will not be usable. The physicist changes the metal's temperature at a steady rate of −6°C per hour.


Part 1 out of 3
Let t represent time in hours. Enter an inequality. Use the fact that the rate of change in temperature times the number of hours equals the final temperature.

Answer:

See below ~

Step-by-step explanation:

Given : 3 angles of a Δ

Solving :

Finding the angles

Answer:

It would take 45 men 5 days to make 500 watches.

Explanation.

for 15 men it takes 15 days.

but if you have 45 men. that is 3x the amount of men.

they will be able to make watches 3 times faster.

just believe me its the right answer.

Please Vote Me Brainliest. Thank You.

(Assuming every single man has the same working rate.)

Solution 1 :

If there is 45 men working, there will be 45 : 15 = 3 times as much men.

So, the amount of time taken will be reduced by 3 times.
=> It will take 15 : 3 = 5 days for 45 men to produce 500 watches.

Solution 2 :

15 men produce 500 watches in 15 days -> If there is only 1 man, it will take 15 x 15 = 225 (days).

If there is 45 men, the amount of time will reduce by 45 times.

So, it will take 225 : 45 = 5 days for 45 men to produce 500 watches.

Based on the above information, it can be inferred that Sarah saves $6,900 per year.

Taking into account that her new employer is going to give her a free health service and that before she paid $575 for the health service monthly, to calculate her savings per year we must multiply the value of the health service by the number of months of one year (12).

Based on the above, it can be inferred that Sarah is saving $6,900 per year on health care.

Note: This question is incomplete because the is some information missing. The information is missing

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Answer:

9x^2(5y^2 + 2x).

Step-by-step explanation:

First find the Greatest Common Factor of the 2 terms.

GCF of 18 and 45 = 9

GCF of x^2 and x^3 = x^2.

The complete GCF is therefore 9x^2.

So, dividing each term by the GCF, we obtain:

9x^2(5y^2 + 2x).

The depth of the water x at the deepest point to the nearest hundredth of a metre is 0.5 meters

A chord of a circle is defined as the line segment joining any two points on the circumference of the circle.

The chord join any two points on the circumference of a circle.

The diameter is a chord that passes through the centre.

Therefore, the diameter is the longest chord of a circle.

The length 1m is a chord of the circular base of the cylinder.

Diameter of the circle = 1.5 meters.

radius = 1.5 / 2 = 0.75 meters

Therefore,

1.5 - 1 = 0.50 meters

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Answer:

26

Step-by-step explanation:

-11+26 can be re arranged as 26-11

so 26-11= 15

i hope its useful :)

Answer:

The answer is a 26

Step-by-step explanation:

View that 11 has a negative sign and there is a positive sign on where you should give the answer so add a 26 to give you 15

If you don't understand it that way try to switch the numbers with their signs for better understanding _ -11= 15

Answer:

6:25 PM

Step-by-step explanation:

Start of dinner

2:50 PM + 1:45 + 0:50

convert it to minutes

2:50PM + 60+ 45 + 50

= 2:50Pm + 60 + (50 + 10) + (45 - 10)

= 4:50Pm + 35

= 4:50PM + 10 + 25

= 5:25PM

End of dinner

5:25PM + 1 = 6:25PM

Using the concept of the degree of a polynomial, it is found that the correct option is given by:

Degree(R(x)) = Degree(Q(x)) - 1.

It is the highest exponent of it's equation.

When two polynomials are divided by each other, the degree of the remainder can be at most one less than the degree of the dividend, hence the correct option is given by:

Degree(R(x)) = Degree(Q(x)) - 1.

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The area of a trapezoid is bounded by the lines y = x, y = 10, y = 5, and the y− axis is 37.5 square units.

A trapezium is a quadrilateral having two opposite sides parallel.

The area of a trapezium is equal to;

[tex]\rm Area =\dfrac{1}{2} \times \text{Distance between the parallel sides} \times \text{Sum of the parallel sides}[/tex]

The trapezoid is bounded by the lines y = x, y = 10, y = 5, and the y− axis.

The vertices are at (0,10), (10,10),(5,5) and (0,5)

You need to find the area of the rectangle (0,10) (10,5) (0,5) and (5,5)

The lengths are 5, 5,5,5.

The area of the legs is = 5 × 5 =25

The area is;

[tex]\rm Area =\dfrac{1}{2} \times \text{Distance between the parallel sides} \times \text{Sum of the parallel sides}\\\\Area =\dfrac{1}{2} \times 5 \times 5\\\\Area =12.5[/tex]

And the right triangle (10,5),(5,5), and (10,10) the right angle is at (10,5)

the two legs are lengths 5 and 5

so together they are 25 +12.5=37.5 square units.

Hence, the area of a trapezoid is bounded by the lines y = x, y = 10, y = 5, and the y− axis is 37.5 square units.

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Answer:

1479 people

Step-by-step explanation:

If the amount employed is 8381, that means 8381 is 85% of the population. 8381/85 = 98.6

Every 1% of the population is 98.6, so we can just do 15 x 98.6 to get 1479

Answer:

9,860

Step-by-step explanation:

100% - 15% = 85 % = 85/100

85/100 * 8381/x

85x = 838,100

838,100/85 = 9,860

The graph of a function is shown in the picture and the amplitude will be 6

Trigonometry is a branch of mathematics that deals with the relationship between sides and angles of a right-angle triangle.

We have a trigonometric function:

[tex]\rm y = -6\cos\left(5x\right)-3[/tex]

As we know, the range for the cosx is [-1, 1]

The maximum value of function y = -6cos(5x)—3 is 3 and minimum value is -9.

The amplitude = 6

Thus, the graph of a function is shown in the picture and the amplitude will be 6

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Answer:

Vertex. An octagon has eight vertices (corners).

Step-by-step explanation:

Hey Mate ,

Reading the given statement ,

Let the cost of printer be x and the cost of Computer be 3x

ATQ ,

3x + x = $1020

4x = $1020

x = 255

Therefore , the cost of Printer is $255 and the cost of computer is $255× 3 = $765

Answer:

$5,968.00

Step-by-step explanation:

this is federal tax, we don't know your state's taxes

Answer:

x ≈ 25.7

Step-by-step explanation:

using the tangent ratio in the right triangle

tan65° = [tex]\frac{opposite}{adjacent}[/tex] = [tex]\frac{x}{12}[/tex] ( multiply both sides by 12 )

12 × tan65° = x , then

x ≈ 25.7 ( to the nearest tenth )

Answer: 8, -.8, -2.45, -23

Step-by-step explanation:

I think those are all the numbers. You repeated it twice so.

Assuming your asking for two sets of systems of equations.

#1: [tex]{y,x}={-1,-1}[/tex]

Steps:

Solve by Substitution :

// Solve equation [2] for the variable  x

[2]    x = -y - 2

// Plug this in for variable  x  in equation [1]

[1]    y - 4•(-y -2) = 3

  [1]    5y = -5

// Solve equation [1] for the variable  y

  [1]    5y = - 5

 [1]    y = - 1

// By now we know this much :

  y = -1

   x = -y-2

// Use the  y  value to solve for  x

x = -(-1)-2 = -1

Solution :

{y,x} = {-1,-1}

2: [tex]{y,x}={3,-1}[/tex]

Steps:

Solve by Substitution :

// Solve equation [2] for the variable  x

 [2]    x = -y + 2

// Plug this in for variable  x  in equation [1]

 [1]    y + 6•(-y +2) = -3

  [1]    -5y = -15

// Solve equation [1] for the variable  y

[1]    5y = 15

[1]    y = 3

// By now we know this much :

y = 3

x = -y+2

// Use the  y  value to solve for  x

x = -(3)+2 = -1

Solution :

{y,x} = {3,-1}

Answer:

71 pages / day

Step-by-step explanation:

You are looking for pages per day so:

   497 pages / 7 days = 71 pages/day

Step-by-step explanation:

the general vertex form is

y = a(x - h)² + k

with (h, k) being the vertex of the curve.

after doing all the multiplications we get

y = a(x² - 2hx + h²) + k = ax² - 2ahx + ah² + k

now we have

y = x² + 24x + 124

and we can compare

ax² = x²

a = 1

-2ahx = -2hx = 24x

-2h = 24

h = 24/-2 = -12

ah² + k = 124

(-12)² + k = 124

144 + k = 124

k = -20

so, the vertex form is

y = (x + 12)² - 20

I assume you mean the equation

[tex]i^{2x+3} = i[/tex]

Since i = √(-1), we have i⁴ = 1 and so i⁵ = i. Then 2x + 3 must be some multiple of 5.

Now just check for which of the given choices that this holds:

x = 16   ⇒   2x + 3 = 35   (yes)

x = 11   ⇒   2x + 3 = 25   (yes)

x = 10   ⇒   2x + 3 = 23   (no)

x = 14   ⇒   2x + 3 = 31   (no)

Answer:

I think it's number 5 or (5,8)

Step-by-step explanation:

The current it conduct when it is plugged into a wall outlet that provides 120 V is 10.4A

The current passing through a conductor is proportional to the potential difference. Mathematically;

V = IR
where
V is the voltage = 120V

R is the resistance = 11.5 ohms

Required

Current I

Substitute

I = V/R
I = 120/11.5
I = 10.4A

Hence  the current it conduct when it is plugged into a wall outlet that provides 120 V is 10.4A

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The graph of the given function is exponential and the function is lagged by 3.[tex]g(X)=4^ {(x-3)} \ \ \ \ f(X)=4^X[/tex]

The representation of the function in a relationship on the x and the y coordinates is done on the graph.

Here are the functions [tex]g(X)=4^ {(x-3)}[/tex] and  [tex]f(X)=4^X[/tex]  are the exponential curves on the graph the function  [tex]g(X)=4^ {(x-3)}[/tex] is lagged by 3 as compared to the function [tex]f(X)=4^X[/tex].

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Answer: 6

Step-by-step explanation:

Answer:

[tex]g(2)=11[/tex]

Step-by-step explanation:

[tex]g(2)=5(2)+1=10+1=11[/tex]

Answer:

f(x) is faster

Step-by-step explanation:

In case it is x^2 then f(x) will be faster.

If you draw these two function in the graph. You can see that

Or you can add any value randomly and see that

Ex:

when x = 5

f(x) = 25, g(x) = 10

when x = 20

f(x) = 400, g(x) = 40

when x is 4 times larger. g(x) is 4 times larger while f(x) is 16 times larger