One reading at an arctic research station showed that the temperature was -35c. what is this temperature in degrees fahrenheit?please answer, and show work.

Answers

Answer 1

Answer: To convert celsius t fahrenheit, multiply the celsius number by 1.8 FIRST. Then you add 32 to it after.

-35 x 1.8 + 32 = -31

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If the measure of a central angle is 28°, then to find the measure of its arc, you would need to do which of the following?

Answers

To find the measure of arc, there would be need of radius.

What is angle?

An angle is the formed when two straight lines meet at one point, it is denoted by θ.

Given that,

The measure of central angle is 28°.

Since, the formula to find arc is

arc = angle x radius

Therefore, to find the arc, radius would be needed.

To learn more about Angle on:

brainly.com/question/28451077

#SPJ6

the radius is needed to find the measure of its arc.

3. Ben earns $1200 each summer and puts the money in a savings account with a 4% simple interest rate. If he deposits the same amount each year, how much money will he have at the end of his third summer?(Points : 1)
$4770
$3744
$3175
$2850

Question 4. Josh earns $2700 each summer and puts the money in a savings account with a 4.5% simple interest rate. If he deposits the same amount each year, how much money will he have at the end of his third summer?
(Points : 1)
$4770
$8464.50
$9125.70
$12,850

Question 5. Emily deposits $14,500 each year into a retirement account with a 7% simple interest rate. If she deposits the same amount each year, how much money will she have at the end of her fourth year?
(Points : 1)
$17,545
$48,045
$64,090
$75,780

Answers

Answer: The answers are (3). $3744, (4). $8464.50, (5). $62060.

Step-by-step explanation: The calculations are as follows :

(3) Here, P = $1200, r% = 4%, T=3 years.

Therefore, Simple Interest is given by

$S.I.=(PrT)/(100)=(1200* 4* 3)/(100)=144.$

So, the amount of money Ben will have at the end of third summer will be

$A=3P+144=3* 1200+144=3600+144=3744.$

Thus, the amount is $3744.

(4) Here, P = $2700, r% = 4.5%, T=3 years.

Therefore, Simple Interest is given by

$S.I.=(PrT)/(100)=(2700* 4.5* 3)/(100)=364.5.$

So, the amount of money Josh will have at the end of third summer will be

$A=3P+364.5=3* 2700+364.5=8100+364.5=8464.5.$

Thus, the amount is $8464.5

(5) Here, P = $14500, r% = 7%, T=4 years.

Therefore, Simple Interest is given by

$S.I.=(PrT)/(100)=(14500* 7* 4)/(100)=4060.$

So, the amount of money Emily will have at the end of fourth year will be

$A=4P+4060=4* 14500+4060=58000+4060=62060.$

Thus, the amount is $62060.

3. $3744

4. $8464.50

5. I do not think that the correct answer is in the options provided.

Which expression is equivalent to 64 − 9x2?(32)2 − (3x)2
(32)2 + (−3x)2
(8)2 − (3x)2
(8)2 + (−3x)2

Answers

Answer: Third option.

Step-by-step explanation:

By definition, the number 64 and the number 9 are perfect squares.

A perfect square it that number obtained by squaring a whole number.

In this case, 64 is obtained by squaring the number 8 and the number 9 is obtained by the squaring the number 3. Then:

$8^2=64\n3^2=9$

Therefore, you can rewrite the expression $64-9x^2$ as following:

$(8)^2-(3x)^2$

This matches with the third option.

ANSWER

$64 - 9 {x}^(2) = {8}^(2) -( {3x)}^(2)$

EXPLANATION
The given expression is

$64 - 9 {x}^(2)$

Rewrite to get:

${8}^(2) - {3}^(2) {x}^(2)$

Recall that

${a}^(n) {b}^(n) = {(ab)}^(n)$
We apply this property of exponents to the second term.

This gives us

$64 - 9 {x}^(2) = {8}^(2) -( {3x)}^(2)$

The third choice is correct.

A ceramic artist can shape a pot in 3 minutes. It takes 10 minutes to fire one batch of pots in the kiln. If there are p pots in a batch, which expression represents the time it takes to shape and fire one batch of pots? How long will it take the potter to form and fire a batch of 10 pots? A.The expression is 3p. It takes 30 minutes to shape and fire 10 pots.B.The expression is 3p − 10. It takes 20 minutes to shape and fire 10 pots.

C.The expression is 3(p + 10). It takes 60 minutes to shape and fire 10 pots.

D.The expression is 3p + 10. It takes 40 minutes to shape and fire 10 pots.

Answers

Answer:

D. The expression is $3p+10$ . It takes 40 minutes to shape and fire 10 pots.

Step-by-step explanation:

Let the number of pots in a batch = p

Now, one pot takes 3 minutes to get in a shape.

Then, 'p' pots will take $3p$ minutes to get in a shape.

Also, it takes 10 minutes to fire one batch of pots.

Thus, the expression for the time taken to form one batch of pots = $3p+10$

So, when number of pots = 10 i.e. p= 10.

Time taken to fire the pots = $3* 10+10$ = 30+10 = 40

That is, 'It takes 40 minutes to shape and fire 10 pots'.

Thus, option D is correct.

3p to shape and 10 minutes to fire
= 3p + 10
3x10 + 10 = 40 minutes for a batch of 10 pots
therefore D is the correct answer

Solve using the substitution method 3x+2y=11
X-2=4y

A(12,-5/2)
b (0,-1/2)
C (0,-2)
D (4,-1/2)

Answers

$\left \{ {{3x+2y=11\ \ \ \ \ \ \ } \atop {x-2y=4y\ \ | add\ 2y}} \right.\n\n \left \{ {{3x+2y=11} \atop {x=4y+2y}} \right.\n\nsubstitution\ method\n\n3(4y+2y)+2y=11\n\n3*6y+2y=11\n\n18y+2y=11\n\n20y=11\ \ \ | divide\ by\ 20\n\ny=(11)/(20)\n\nx=6y=6* (11)/(20)=(66)/(20)=(33)/(10)\n\n$

I know this is already answered but this is the answer simplified

(4, -1/2)

This is to help those that didn't understand the first guys explanation.

A train traveled 210 miles in 3.5 hours to its first stop. It then continued on traveling another 130 miles in 2.5 hours. What was the average speed of the train for the entire journey

Answers

56.7 mph just a distance over time question, since they want the average speed you take the total distance divided by the total time

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