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3 years ago

A train travels at a constant speed of 60.4 miles per hour for 101.5 minutes. What distance does the train cover?

Mathematics

1 answer:

Vanyuwa [196]3 years ago

4 0

Answer:

102.2 miles

Step-by-step explanation:

First, convert the minutes to hours:

101.5/60

= 1.69 hours

Multiply this by 60.4 to find how many miles it covered:

= 102.2 miles

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I need help please?!!!!!!

Vadim26 [7]

Answer:

simplified is

x ^5 y ^15 z ^10

Step-by-step explanation:

3 0

3 years ago

18/25×475 step by step

AlexFokin [52]

This is how I would go about solving this, hope it helps.

6 0

3 years ago

Complete the remainder of the table for the given function rule: y= x/4 + 7

babymother [125]

Let's replace x with -4 and simplify

y = (x/4) + 7

y = (-4/4) + 7

y = -1 + 7

y = 6

This means x = -4 and y = 6 pair up together.

So 6 goes in the box under the -4

----------------------------------------------------------

Repeat those steps for x = 0

y = (x/4) + 7

y = (0/4) + 7

y = 0 + 7

y = 7

So 7 goes in the box under the 0

----------------------------------------------------------

Let's repeat those steps for x = 4

y = (x/4) + 7

y = (4/4) + 7

y = 1 + 7

y = 8

So 8 goes in the box under the 4

----------------------------------------------------------

Lastly, for x = 8, we get

y = (x/4) + 7

y = (8/4) + 7

y = 2 + 7

y = 9

9 goes in the box under the 8

----------------------------------------------------------

The y outputs we got were: 6, 7, 8, 9

Notice how each time y increases by 1, x goes up by 4.

This means slope = rise/run = 1/4

We can think of x/4 as (1/4)x to help see that the slope is 1/4.

6 0

2 years ago

Someone help me with this

Jet001 [13]

2a. 14,9; 2b. 15,4; 2c. 30,8; 3. 32

For 2a., you have to set it up like this: csc 48° = 20⁄x [OR sin 48° = ˣ⁄20]. Then you would have to isolate the variable by getting rid of the denominator. The cosecant function has an extra step because you will get xcsc 48° = 20. As stated, isolate the variable; this time, divide by csc 48°. This is what 20 will be divided by to get your x, whereas the other side cancels out. Then you have to round to the nearest tenth degree.

For 2b., you have to set it up like this: sec 39° = ˣ⁄12 [OR cos 39° = 12⁄x. Then you would have to isolate the variable by getting rid of the denominator. The cosine function has an extra step because you will get xcos 39° = 12. As stated, isolate the variable; this time, divide by cos 39°. This is what 12 will be divided by to get your x, whereas the other side cancels out. Then you have to round to the nearest tenth degree.

For 2c., you have to set it up like this: cot 64° = 15⁄x [OR tan 64° = ˣ⁄15]. Then you would have to isolate the variable by getting rid of the denominator. The cotangent function has an extra step because you will get xcot 64° = 15. As stated, isolate the variable; this time, divide by cot 64°. This is what 15 will be divided by to get your x, whereas the other side cancels out. Then you have to round to the nearest tenth degree.

Now, for 3., it is unique, but similar concept. In this exercise, we are solving for an angle measure, so we have to use inverse trigonometric ratios. So, we set it up like this: cot⁻¹ 1⅗ = m<x [OR tan⁻¹ ⅝ = m<x]. We simply input this into our calculator and we get 32,00538321°. When rounded to the nearest degree, we get 32°.

WARNING: If you use a graphing calculator, you have to input it uniquely because most graphing calculators do not have the inverse trigonometric ratios programmed in their systems. This is how you would write this: tan⁻¹ 1⅗⁻¹. You set 1⅗ to the negative first power, ALONG WITH the inverse tangent function, because without it, your answer will be thrown off. Since Cotangent and Tangent are multiplicative inverses of each other, that is the reason why the negative first power is applied ALONG WITH the inverse tangent function.

**NOTE: 1⅗ = 8⁄5

Take into consideration:

sin θ = O\H

cos θ = A\H

tan θ = O\A

sec θ = H\A

csc θ = H\O

cot θ = A\O

I hope this helps you out alot, but if you are still in need of assistance, do not hesitate to let me know and subscribe to my channel [username: MATHEMATICS WIZARD], and as always, I am joyous to assist anyone at any time.

7 0

3 years ago

In 1983, a microwave oven cost $78. 75. Today, a microwave oven costs $92. 66. If the CPI is 177, what is the relation of the ac

mamaluj [8]

The actual price is $46.73 lower than the expected price.

<h3>What is the Formula for Consumer Price Index?</h3>

$CPI_t=\frac{C_t}{C_0} * 100$

CPI=consumer price index in the current period

Ct= expected cost in current period

C₀ =cost in the base period

It is given that

Price in base period ie 1983 C₀= $78.75

The actual cost of the microwave oven = $92.66

Consumer Price Index= 177

So, expected price of microwave oven in the current period

Ct= CPIt * C₀ /100 = 177*78.75/100 = $139.39

Difference between the actual price and expected price = 139.39-92.66=$46.73

Therefore, The actual price is $46.73 lower than the expected price.

To get more about CPI visit:

brainly.com/question/5992428

3 0

2 years ago