May someone please help me??

The temperature fell from 0 Degrees Fahrenheit to 15 and one-half Degrees Fahrenheit below 0 in 5 and three-fourths hours. Wen t

Kryger [21]

Answer:

The correct answer will be:

$-\dfrac{62}{23}$

Step-by-step explanation:

It is given that :

Initial temperature, $T_1 = 0^\circ F$

Final temperature,

$T_2 = -15\dfrac{1}{2}^\circ F\\\Rightarrow T_2 = -\dfrac{15\times 2+1}{2} ^\circ F\\\Rightarrow T_2 = -\dfrac{31}{2} ^\circ F$

Time taken :

$5\dfrac{3}{4}\ hrs = \dfrac{5 \times 4+3}{4}\ hrs = \dfrac{23}{4}\ hrs$

Change in temperature per hour:

$\dfrac{\text{Difference of temperature}}{\text{Total Time Taken}}\\\Rightarrow \dfrac{T_2-T_1}{\text{Total Time Taken}}$

Putting the values of temperatures and time:

$\dfrac{\dfrac{-31}{2}-0}{\dfrac{23}{4}}\\\Rightarrow \dfrac{\dfrac{-31}{2}}{\dfrac{23}{4}}\\\Rightarrow \dfrac{-31 \times 4}{2 \times 23}} \text{---- Error done by Wen at this step}\\\Rightarrow \dfrac{-31 \times 2}{23}}\\\Rightarrow \dfrac{-62}{23}}$

The error done by Wen was during calculating the values of fraction.

So, the correct answer is : $\frac{-62}{23}}$ instead of $\frac{-713}{8}$

5 0

4 years ago

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Use technology to determine an appropriate model of the data. (-1,0), (1,-4), (2,-3), (4,5), (5,12)

Vinil7 [7]

By graphing the points, The best mode of the data will be the quadratic function

There is 5 steps to find the quadratic function that models the data.

First step           ⇒ Plot the data pairs (x, y) in a coordinate plane.
                              which are the blue circles in the attached figure

Second step     ⇒ Draw the parabola you think best fits the data.
                             Which is the red function in the attached figure.

Third step         ⇒ Estimate the coordinates of three points on the
                             parabola, which are (-1, 0), (2, -3), and (5, 12).

Fourth step       ⇒ Substitute the coordinates of the points into the model
                            y = ax² + bx + c
                            to obtain a system of three linear equations.

                            a - b + c = 0           ---------(1)
                            4a + 2 b + c = -3    ---------(2)
                            25a + 5 b + c = 12 ---------(3)

Fifth step   ⇒ Solve the linear system.
                      By using the calculator
                      a = 1 , b = -2 , c = -3

So, the quadratic model for the data is ⇒ y = x² - 2x - 3

7 0

3 years ago

Add the following decimals

Fantom [35]

Answer:

148.91

Step-by-step explanation:

hope it helps<333

5 0

3 years ago

Need help with these 2 problems will give brainliest answer and worth 30 points!!

Elena L [17]

Question 1.
Step 1. Add the total cost of purchasing the luxury items:
$TotalCost=35.95+34.65+15.30+6.99+42.96=135.85$
You will spend $135.85 purchasing the luxury items.

Step 2. Add the total cost of purchasing the name brand items:
$TotalCost=19.95+15.98+9.40+4.99+29.75=80.07$
You will spend $80.07 purchasing the name brand items.

Step 3. Subtract the total cost of purchasing the name brand items from the total cost of purchasing the luxury items:
$135.85-80.07=55.78$

Answer to the original question:
We can conclude that you will spend $55.78 more by purchasing the luxury items.

Question 2:

Part 1. To find the how many months will take to pay the card debt, we are going to use the credit card equation: $N=- \frac{1}{30}* \frac{ln(1+ \frac{b}{p}*(1+ \frac{r}{365})^{30})) }{ln(1+ \frac{r}{365}) }$
where
$N$ is the months to pay the card
$b$ is the balance
$p$ is the monthly payment
$r$ is the interest rate in decimal form

We know from our problem that the balance of the credit card is $1,367.90 and the monthly payment is $400.00, so $b=1367.90$ and $p=400$ . To find convert the interest rate to decimal form, we are going to divide the rate by 100%
$r= \frac{9.5}{100}=0.095$ .
Now that we have all we need, lets replace the values in our credit card equation:
$N=- \frac{1}{30}* \frac{ln(1+ \frac{b}{p}*(1+ \frac{r}{365})^{30})) }{ln(1+ \frac{r}{365}) }$
$N=- \frac{1}{30}* \frac{ln(1+ \frac{1367.90}{400}*(1+ \frac{0.095}{365})^{30})) }{ln(1+ \frac{0.095}{365}) }$
$N=3.4799$

It will take you 3.5 months according to our calculation, but since you pay $400 each month on the due date, we can conclude that it will take you 4 months to pay off the card.

Part 2. To calculate the total amount paid including the interest, we just need to multiply the monthly payment by the number of payments.
We know from our problem that the monthly payment is $400. We also know from our previous calculations that the number of payments is 4, so lets multiply both quantities:
$400*4=1600$

We can conclude that the total amount paid including interest is $1,600

5 0

3 years ago

PLZ HELP ASAP!!!!!!!!!!!

lorasvet [3.4K]

For number 3 add all the numbers and divide how numbers you have

5 0

3 years ago

Read 2 more answers