Ask question

Ask question

All categories

1 year ago

11

Kyle is converting 13°F to °C. His work is shown. Is Kyle's answer correct? If not, find his mistake and determine the correct a

nswer to the nearest degree. Given: 5 9 (°F − 32) Step 1: 5 9 (13°F − 32) Step 2: 5 9 (45) Step 3: 25° C

2 answers:

Lena [83]1 year ago

7 0

Given:

The temperature is given in Fahrenheit (13 degree F).

To Find:

The correct temperature in Celsius.

Answer:

The temperature in Celsius is approximately -11 degree C.

Kyle has got an incorrect answer because instead of subtracting 32 form the temperature, he has added it.

Step-by-step explanation:

Any temperature can be changed from F to C by using the formula

$C=(\frac{5}{9})(F-32)\\\\C=\frac{5(F-32)}{9}$

So, we will convert the given temperature in F to C by performing three simple steps.

Step 1 - We will subtract 32 from the Fahrenheit temperature.

Step 2 - Multiply this number by 5.

Step 3 - Divide the resulting number by 9.

So,

Step 1: 13-32 = -19

Step 2: -19*5 = -95

Step 3: -95/9 = -10.55 approx

Thus, the temperature in Celsius is approximately -11 degree C.

Kyle has got an incorrect answer because instead of subtracting 32 form the temperature, he has added it.

Aneli [31]1 year ago

5 0

<span><span>No, Kyle's answer is incorrect because he added 32 instead of subtracting. The correct answer is −11°C.</span></span>

You might be interested in

Alex is planning to surround his pool ABCD with a single line of tiles. How many units of tile will he need to surround his pool

PtichkaEL [24]

Answer:

(-3,1)

Step-by-step explanation:

I took the test ;)

3 0

2 years ago

The cafeteria staff made sandwiches. Each sandwich had either rye or white bread, either ham or turkey, and either cheese or no

Anit [1.1K]

Answer:

1/2 (1 half)

Step-by-step explanation:

The number of different sandwiches is calculated multiplying all of the possibilities for each material used:

rye or white bread: 2 options

ham or turkey: 2 options

cheese or no cheese: 2 options

So the number of different sandwiches that can be made is 2*2*2 = 8.

From these 8 different sandwiches, 4 have cheese and 4 have no cheese, as the staff made a equal number of each type of sandwich.

So, if from 8 different type of sandwiches, 4 have cheese, the chances of Mary getting a sandwich with cheese is 4/8 = 1/2 (1 half).

8 0

2 years ago

Which equation finds the volume of a cube with a side length of 2 n Superscript 6 units?

elena-14-01-66 [18.8K]

Answer:

Volume of the cube: $8n^{18}$

Step-by-step explanation:

A cube is a solid figure consisting of 6 squared faces arranged in a structure at right angle with each other.

The volume of a cube is given by:

$V=L^3$

where

V is the volume

L is the length of one side of the cube

In this problem, the length of the side of the cube is

$L=2n^6$

Therefore, the volume of the cube is

$V=(2n^6)^3 = 2^3 (n^6)^3 = 8n^{18}$

7 0

2 years ago

Read 2 more answers

Which of the following shows the extraneous solution to the logarithmic equation? log Subscript 4 Baseline (x) + log Subscript 4

vekshin1

<u>Given:</u>

The given equation is $\log _{4}(x)+\log _{4}(x-3)=\log _{4}(-7 x+21)$

We need to determine the extraneous solution of the equation.

<u>Solving the equation:</u>

To determine the extraneous solution, we shall first solve the given equation.

Applying the log rule $\log _{c}(a)+\log _{c}(b)=\log _{c}(a b)$ , we get;

$\log _{4}(x(x-3))=\log _{4}(-7 x+21)$

Again applying the log rule, if $\log _{b}(f(x))=\log _{b}(g(x))$ then $f(x)=g(x)$

Thus, we have;

$x(x-3)=-7 x+21$

Simplifying the equation, we get;

$x^2-3x=-7 x+21$

$x^2+4x=21$

$x^2+4x-21=0$

Factoring the equation, we get;

$(x-3)(x+7)=0$

Thus, the solutions are $x=3, x=-7$

<u>Extraneous solutions:</u>

The extraneous solutions are the solutions that does not work in the original equation.

Now, to determine the extraneous solution, let us substitute x = 3 and x = -7 in the original equation.

Thus, we get;

$\log _{4}(3)+\log _{4}(3-3)=\log _{4}(-7 \cdot 3+21)$

$\log _{4}(3)+\log _{4}(0)=\log _{4}(0)$

Since, we know that $\log _{a}(0)$ is undefined.

Thus, we get;

Undefined = Undefined

This is false.

Thus, the solution x = 3 does not work in the original equation.

Hence, x = 3 is an extraneous solution.

Similarly, substituting x = -7, in the original equation. Thus, we get;

$\log _{4}(-7)+\log _{4}(-7-3)=\log _{4}(-7(-7)+21)$

$\log _{4}(-7)+\log _{4}(-10)=\log _{4}(49+21)$

$\log _{4}(-7)+\log _{4}(-10)=\log _{4}(70)$

Simplifying, we get;

Undefined = $\log _{4}(70)$

Undefined = 3.06

This is false.

Thus, the solution x = -7 does not work in the original solution.

Hence, x = -7 is an extraneous solution.

Therefore, the extraneous solutions are x = 3 and x = -7

7 0

1 year ago

Read 2 more answers

What are the terms in the expression, 2 + 6 + 10b - 8a?

Kruka [31]

Answer:

B

Step-by-step explanation:

7 0

2 years ago