A jeweler is heating a gold bar. It takes 7 joules of heat to raise the temperature of the bar 1º C. The initial temperature of the bar is 25ºC. Use this information to select the equation that corresponds to the information. y=7x+175y is equal to 7 x plus 175 y=7x−175y is equal to 7 x minus 175 y=25x−7y is equal to 25 x minus 7 y=7x−25

Answers

Answer 1

Answer:

[tex]y = 7x - 175[/tex]

Step-by-step explanation:

Given

Initial temperature= 25ºC

Rise = 1ºC

Rate  = 7 joules

Required

Determine the equation of the system

Let the final temperature be represented with x and the heat required be represented with y

This question will be solved using the following heat formula

[tex]Heat\ Required = Rate * Change\ in\ Temperature[/tex]

[tex]Heat\ Required = Rate * (Final\ Temperature - Initial\ Temperature)[/tex]

Substitute y for Heat Required; 7 for Rate; x for Final Temperature and 25 for Initial Temperature

[tex]y = 7(x - 25)[/tex]

Open the bracket

[tex]y = 7x - 7 * 25[/tex]

[tex]y = 7x - 175[/tex]

Hence, the equation of the system is

[tex]y = 7x - 175[/tex]


Related Questions

1. A recent study revealed that 45% of business travelers plan their own business trips. The study is to be replicated with a sample of 12 frequent business travels. a. What is the probability exactly 5 travelers plan their own trips

Answers

Answer:

The  probability is  [tex]P(X = 5) = 0.222[/tex]

Step-by-step explanation:

From the question we are told that

   The  proportion of business travelers that plan their own business trip is [tex]p = 0.45[/tex]

   The  sample  size is  n  = 12

    The  random number considered is  x =  5

     

Generally the  proportion of business travelers that do not  plan their own business trip is mathematically evaluated as

      [tex]q = 1- p[/tex]

=>   [tex]q = 1-0.45[/tex]

=>    [tex]q = 0.55[/tex]

 This  can study can be said to follow binomial distribution as there is only two outcomes

So the probability exactly 5 travelers plan their own trips is mathematically represented as

     [tex]P(X = 5) = ^{12} C_5 * p^5 * q^{12- 5 }[/tex]

Generally using a combination calculator  

      [tex]^{12} C_5 = 792[/tex]

So

    [tex]P(X = 5) = 792 * (0.45)^5 * (0.45)^{12- 5 }[/tex]

    [tex]P(X = 5) = 0.222[/tex]

   

   

PLZ ANSWER FAST!! CORRECT ANSWER GETS BRAINLIEST!!

Answers

Answer:

(Weight (lb), Price ($) ) = (0.45,2.3)

That means :

Weight (lb) = 0.45 when Price ($) = 2.3

1) So, if we want to find the price per pound, we'll divide 2.3 by 0.45:

=> [tex]\frac{\$ 2.3}{0.45 \ lb}[/tex] [True]

2) Second Statement: [False]

The weight of every 0.45 lb of bag is 2.3 pounds not for per bag.

3) Third Statement: [False]

2.3 pounds of almonds cost $0.45

This is incorrect according to the graph.

4) Fourth Statement: [False]

Almonds cost $0.45 per pound

Let's check it out

0.45 lb = $2.3

Dividing both sides by 0.45

1 lb = $5.11

It is not $4.5

5) Fifth Statement: [True]

0.45 pounds of almond costs $2.30

For every 0.45 pounds, there are $2.30 . So, this statement is true!

What is the volume of the pyramid shown below?

Answers

Step-by-step explanation:

Given:

h=7in

w=9in

l=6in

Required:

v=?

Formula:

v=l*w*h

Solution:

v=l*w*h

v=6in*9in*7in

v=54in^2*7in

v=378in^3

Hope this helps ;) ❤❤❤

Tyra bought 4.5 pounds of strawberries they cost $2.60 a pound how much did she spend

Answers

Answer:

11.70

Step-by-step explanation:

find the inverse
f(x)=3x-2

Answers

Answer:

Step-by-step explanation:

hello friend

the answer is [tex]\frac{x}{3}[/tex] + [tex]\frac{2}{3}[/tex]

To find the inverse, interchange the variables and solve for y

[tex]f^{-1}[/tex](x) =  [tex]\frac{x}{3}[/tex] + [tex]\frac{2}{3}[/tex]

Hope this helps

plz mark as brainliest!!!!!!

What is the distance between (-1, -2) and (2, 2)?

Answers

Answer: The distance would be, (3, 4)

The diagonals of a parallelogram are congruent what is the parellelogram

Answers

Answer:

A parallelogram is a shape with 4 equal sides like a square or a rectangle. I hope this helped!

The product of 21 and 5291 equals 111,111
Find two other whole numbers that have the
product 111,111.
b. Find two whole numbers that have the product
222,222.
Find two whole numbers that have the product
555,555.

Answers

Answer:

a

Step-by-step explanation:


A father earns a $2000 dividend from an oil investment and
distributes it equally amongst his children.

Answers

Answer:

To divide the money evenly, without him taking any, use the formula in which x is the amount of children.

2000/x

It's that simple!

2000 dollars divided by x children.

I'm sorry if I misunderstood.

Good luck mate! :)

Please add Brainliest if you'd like, not that it matters.

Remember to try your best every day!

A parallelogram has an area of 28 square feet and a height of 4 feet. What is its base?

Answers

Answer:

7

Step-by-step explanation:

The area for a parallelogram is given by the following formula:

[tex]A=bh[/tex]

Where b is the base and h is the height.

We already know the area is 28 and the height is 4. So, substitute:

[tex]28=4b[/tex]

Divide both sides by 4:

[tex]b=7[/tex]

So, the base length is 7.

Our answer is 7 :)

Hey there! I'm happy to help!

The area of a parallelogram is just the base multiplied by the height. If the area is 28 square feet, we will divide it by our height to find the base.

28/4=7

Therefore, our base is 7 feet.

Have a wonderful day! :D

Number between 17/4 and square root of 20

Answers

Answer: 4.485

Step-by-step explanation:

We need to find the number between [tex]\dfrac {17}{4}[/tex] and [tex]\sqrt{20}[/tex].

For this , we first simplify the above numbers.

[tex]\dfrac{17}{4}= 4.25[/tex]  [divide 17 by 4]

[tex]\sqrt{20}=\sqrt{4\times5}=2\sqrt{5}= 2(2.236)=4.472[/tex]   [ [tex]\sqrt{5}=2.236[/tex] ]

Now, Midpoint of  4.25 and 4.472 = [tex]\dfrac{4.25+4.72}{2}=\dfrac{8.97}{2}=4.485[/tex]

Number between 4.25 and 4.472 =4.485

Or number between [tex]\dfrac {17}{4}[/tex] and [tex]\sqrt{20}[/tex] is 4.485.

my account isnt working can you please look at it s

Answers

For what? Is it a website or is it Brainly?

Answer:

What account are you talking about?

Step-by-step explanation:

Find the area of the triangle whose base is 12 cm and height is 4 cm.

Answers

Answer:

A = 24 cm^2

Step-by-step explanation:

The area of a triangle is given by

A = 1/2 bh

A = 1/2 (12)*4

A = 24 cm^2

Answer:

1/2bh.

1/2×12×4= 1/2×48.

=24cm^2

Solve 12x + 4y = 20 for y.
A. y=-3x+ 20
B. y = -12x+ 20
C. y= 12x+ 5
D. y=-3x+ 5

Answers

Answer:

D. y= -3x+ 5

Step-by-step explanation:

[tex]12x + 4y = 20[/tex]

Move 12x to the right and change its sign

[tex]4y =20-12x[/tex]

Divide through by 4

[tex]\frac{4y}{4} = \frac{20}{4} -\frac{12x}{4} \\\\Simplify\\y = 5-3x\\y =-3x+5[/tex]

Answer:

[tex] \boxed{ \bold{ \huge{ \boxed{ \sf{y = - 3x + 5}}}}}[/tex]

Option D is the correct option.

Step-by-step explanation:

[tex] \sf{12x + 4y = 20}[/tex]

Move 12x to right hand side and change it's sign

⇒[tex] \sf{4y = - 12x + 20}[/tex]

Divide both sides of the equation by 4

⇒[tex] \sf{ \frac{4y}{y} = \frac{ - 12x + 20}{4} }[/tex]

⇒[tex] \sf{y = \frac{ - 12x}{4} + \frac{20}{4} }[/tex]

Divide -12x by 4 . Also divide 20 by 4

⇒[tex] \sf{y = - 3x + 5}[/tex]

Hope I helped!

Best regards!! :D

A rectangle that is 2 inches by 3 inches has been scaled by a factor of 7.

Suppose you want to scale the copy back to its original size. What scale factor should you use?

Answers

Answer:

1/7.

Step-by-step explanation:

You use the inverse of 7 which is 1/7.

In order to back to its original size, we need to take a scale factor of 1/7.

What is the scale factor?

You must specify the extent of the shape's enlargement when describing one.

The scale factor is the ratio of two dimensions such that one figure is large and another is small.

The scale factor is done due to the unpractical measurement of any figure.

For example, 50 meters is very big so we cannot measure it but if we can convert it into 50 mm such that the scale ratio is maintained then it will be easy to draw.

If the rectangle is scaled by scale factor 7 it means it is plotted 7 times big such that a 7:1 scale factor maintain.

Now if we want to see the original rectangle then we need to take 7 times lower than that so a 1/7 scale factor is going to use.

Hence "In order to back to its original size, we need to take a scale factor of 1/7".

To learn more about scale factors,

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120 = -5 (2m - 7) + 5 Multi - Step

Answers

Answer:

Step-by-step explanation:

-10m + 35 + 5 = 120

-10m + 40 = 120

-10m = 80

m = -8

Simplify (2+3)^2+8/2

Answers

Answer:

Exact Form: − 29 30 Decimal Form: − 0.9 ¯ 6

Hoped I helped

Fill in the blank. In a​ _______ distribution, the frequency of a class is replaced with a proportion or percent.

Answers

Answer:

Relative frequency

Step-by-step explanation:

In a    relative frequency distribution, the frequency of a class is replaced with a proportion or percent.

A relative frequency distribution displays how the proportion of totality of the observations related to each class is correlated to the probability distribution. A relative frequency distribution shows the proportion of times a value occurs in each class. It can be determined by the division of the frequency with the total number of data values.

James wrote the number 8,980,000 in
scientific notation. Which number did he
write?
A 8.98 x 10-6
C 89.8 x 105
B 8.98 x 10-5
D 8.98 x 106

Answers

To get 8.98, the decimal point is moved 6 places to the left. This means the exponent is positive 6

The answer is D. 8.98 x 10^6

Answer: the answer is d

Step-by-step explanation:

HELPPPPPP doing a last attempt

Answers

Answer:

irational number, non-repeating

When we are choosing a random sample and we do not place chosen units back into the population, we are

Answers

You are sampling without replacement

Xavier is building a triangular fence the length of the second side will be 1 foot longer than the length of the first side the length of the third side will be 1 foot longer than the length of the second side the total perimeter of the triangle will be 63 feet what will the length of the third side B

Answers

Answer:

22

Step-by-step explanation:

If -7(y-3)= -14. What is the value of x?

Answers

Answer:

none

Step-by-step explanation:

no x because (y-3)=14 so the x wouldnt repeat

Answer:

y = 5

Step-by-step explanation:

-7(y-3)= -14

Divide each side by -7

-7/-7(y-3)= -14/-7

y-3 = 2

Add 3 to each side

y-3+3 = 2+3

y = 5

If x = 4 tan(θ), find sec(θ) in terms of x

Answers

Answer:

[tex] \sec \theta = \pm \frac{ \sqrt{ {x}^{2} + 16} }{4} [/tex]

Step-by-step explanation:

[tex] \because \: x = 4 \tan \theta \\ \therefore\frac{x}{4} = \tan \theta....(1) \\ \\ \because \: { \sec}^{2} \theta = 1 + { \tan}^{2} \theta \\ \therefore \: \sec \theta = \pm\sqrt{1 + { \tan}^{2} \theta } \\ \therefore \: \sec \theta = \pm\sqrt{1 + { \bigg( \frac{x}{4} \bigg)}^{2} } \\ \therefore \: \sec \theta = \pm\sqrt{1 + { \frac{x^{2}}{16} } } \\ \therefore \: \sec \theta = \pm\sqrt{{ \frac{16 + x^{2}}{16} } } \\ \therefore \: \sec \theta = \pm \frac{ \sqrt{ {x}^{2} + 16} }{4} [/tex]

what is. - 3 7/8 × - 4 3/5 help please

Answers

Answer:

713/40 or as mixed fraction of 17 33/40 (see setps below)

Step-by-step explanation:

Simplify the following:

-(3 + 7/8) (-(4 + 3/5))

Hint: | Multiply all instances of -1 in -(3 + 7/8) (-(4 + 3/5)).

(-1)^2 = 1:

(4 + 3/5) (3 + 7/8)

Hint: | Put the fractions in 3 + 7/8 over a common denominator.

Put 3 + 7/8 over the common denominator 8. 3 + 7/8 = (8×3)/8 + 7/8:

(4 + 3/5) (8×3)/8 + 7/8

Hint: | Multiply 8 and 3 together.

8×3 = 24:

(4 + 3/5) (24/8 + 7/8)

Hint: | Add the fractions over a common denominator to a single fraction.

24/8 + 7/8 = (24 + 7)/8:

(4 + 3/5) (24 + 7)/8

Hint: | Evaluate 24 + 7 using long addition.

| 1 |  

| 2 | 4

+ | | 7

| 3 | 1:

(4 + 3/5)×31/8

Hint: | Put the fractions in 4 + 3/5 over a common denominator.

Put 4 + 3/5 over the common denominator 5. 4 + 3/5 = (5×4)/5 + 3/5:

31/8 (5×4)/5 + 3/5

Hint: | Multiply 5 and 4 together.

5×4 = 20:

((20/5 + 3/5)×31)/8

Hint: | Add the fractions over a common denominator to a single fraction.

20/5 + 3/5 = (20 + 3)/5:

31/8 (20 + 3)/5

Hint: | Evaluate 20 + 3.

20 + 3 = 23:

23/5×31/8

Hint: | Express 23/5×31/8 as a single fraction.

23/5×31/8 = (23×31)/(5×8):

(23×31)/(5×8)

Hint: | Multiply 5 and 8 together.

5×8 = 40:

(23×31)/40

Hint: | Multiply 23 and 31 together.

| 3 | 1

× | 2 | 3

| 9 | 3

6 | 2 | 0

7 | 1 | 3:

Answer: 713/40

________________________________________

Convert to a mixed number:

713/40

Hint: | Use long division to get a quotient and remainder.

Divide 713 by 40:

4 | 0 | 7 | 1 | 3

Hint: | How many times does 40 go into 71?

40 goes into 71 at most one time:

| | | 1 | |  

4 | 0 | 7 | 1 | 3 |  

| - | 4 | 0 | |  

| | 3 | 1 | 3 |  

Hint: | How many times does 40 go into 313?

40 goes into 313 at most 7 times:

| | | 1 | 7 |  

4 | 0 | 7 | 1 | 3 |  

| - | 4 | 0 | |  

| | 3 | 1 | 3 |  

| - | 2 | 8 | 0 |  

| | | 3 | 3 |  

Hint: | Summarize the results.

Read off the results. The quotient is the number at the top and the remainder is the number at the bottom:

| | | 1 | 7 | (quotient)

4 | 0 | 7 | 1 | 3 |  

| - | 4 | 0 | |  

| | 3 | 1 | 3 |  

| - | 2 | 8 | 0 |  

| | | 3 | 3 | (remainder)

Hint: | In the equivalent mixed fraction, the quotient becomes the whole number part, the remainder becomes the numerator part, and the divisor (denominator) remains the denominator.

The quotient of 713/40 is 17 with remainder 33, so:

Answer: 17 33/40

is angle 1 in the diagram of an angle of elevation or an angle of depression?​

Answers

Answer:

Angle one is a angle of depression

Step-by-step explanation:

Write the mixed number as a decimal. 4 9/20

Answers

answer : 89/20 = 4.45

multiply 20 & 4 to get 80, then add 9.

89 divided by 20 is: 4.45

460

Wrote this in word form and expanded form?

Answers

Answer:460 in word form: Four Hundred Sixty

460 in expanded form: 400+60

joey collects 100 seashells. 45% of them are pink. how many shells are not pink. how many are pink .

Answers

Answer:

45 are pink 55 are not pink

Step-by-step explanation:

a) The number of pink seashells is A = 45

b) The number of seashells that are not pink = 55

What is Percentage?

A percentage is a number or ratio expressed as a fraction of 100. It is often denoted using the percent sign, %

The difference between an exact value and an approximation to it is the approximation error in a data value. Either an absolute error or a relative error might be used to describe this error.

Percentage change is the difference between the measured value and the true value , as a percentage of the true value

Percentage change =( (| Measured Value - True Value |) / True Value ) x 100

Given data ,

Let the total number of seashells be = 100

Let the percentage of the seashells that are pink = 45 %

If 45% of the 100 seashells are pink, then the remaining 55% must be not pink. We can find the number of pink shells by multiplying 100 by 45%:

Number of pink shells = 100 x 0.45 = 45

To find the number of shells that are not pink, we can subtract the number of pink shells from the total number of shells:

Number of shells not pink = 100 - 45 = 55

Hence , there are 55 seashells that are not pink and 45 seashells that are pink.

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In the linear equation 3+2x=13, what is the second step in solving the equation for x?

Answers

Subtract 3 from both sides of the equation (i.e. you'll be left with 2x=10) and then divide both sides by two to isolate x (i.e. you'll get x=5)

3+2x=13

2x=10

x=5

Hope this helps!
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Jean says that if she multiplies 7334, her product will automatically be less than 73 because 34 is less than 1, meaning the product will only be a part of 73. Is Jean correct? Help! Please whats the answer A certain antihistamine is often prescribed for allergies. A typical dose for a 100-pound person is 19mg every six hours. Complete parts (a) and (b) below. Following this dosage, how many 13.2mg chewable tablets would be taken in a week? A 100-pound person could take ____ tablets in a week. (Round to the nearest whole number as needed.) In C3 plants the conservation of water promotes _____. In C3 plants the conservation of water promotes _____. photorespiration a shift to C4 photosynthesis photosynthesis the opening of stomata the light reactions how to do this question plz PLEASE ANSWER THIS QUESTION FAST MY TEST IS GOING I WILL MARK YOU THE BRAINLIEST PLEASE ANSWER FAST ITS URGENT.... NEED ANSWERED FASTWhat is the author's purpose in "Raccoon Olympics"? to inform readers about the lifestyles and habits of raccoons to entertain readers with an interesting anecdote from the authors childhood to persuade readers that raccoons are extremely intelligent creatures to persuade readers that raccoons should be trained to swim rather than be trapped A verb that does not transfer its a action to an object is call______. a.)a transitive verb b.)an intransitive verb c.)either one depending on the sentence d.)none of the above Brainliest! Divide 18198 -------- 27 A.518 B.608 C.674 D.689 Find the opposite of the given number. -18.6 what is formula to calculate the area of circle An agribusiness performed a regression of wheat yield (bushels per acre) using observations on 26 test plots with four predictors (rainfall, fertilizer, soil acidity, hours of sun). The standard error was 1.29 bushels. (a) Find the approximate width of a 95% prediction interval for wheat yield. (Round your answer to 2 decimal places.) yi (b) Find the approximate width using the quick rule. (Round your answer to 2 decimal places.) yi (c) The quick rule gives a similar result. a. Yes b. No how many atoms are in 3.05 grams of copper? Which of the following kinds of price discrimination occurs when each customer is charged one price for the first set of units purchased and a lower price for subsequent units purchased?a. Perfect price discriminationb. Third-degree price discriminationc. This is not an example of price discriminationd. Second-degree price discrimination After completing a scan, Microsoft Baseline Security Analyzer (MBSA) will generate a report which identifies security issues and: f(3)=7 what number is the x value Find the area of the shape shown below. What other reading strategy plays a large role in your ability to draw conclusions? What happened to most Confederate leaders after the Civil War? "God, the great Creator of all things, doth uphold, direct, dispose, and govern all creatures, actions, and things, from the greatest even to the least, by His most wise and holy providence, according to His infallible foreknowledge, and the free and immutable counsel of His own will, to the praise of the Glory of His wisdom, power, justice, goodness and mercy." The quote above is from Westminster Abbey. True False