Two forms of 80+7×0.9+0.03

Can someone help me on this question

Lerok [7]

Answer:

9

Step-by-step explanation:

✯Hello✯

↪ There is a quadratic formula that needs to be used. 4ac and b^2 are a part of this formula

↪ First we need to work out the Values for A and B and C

A = 1

B = 5

C= 4

↪ now we can substitute this into what the equation is asking. (5)^2-4(1)(4)=9

↪ The answer is 9

↪ I hope this helps you :)

❤Gianna❤

6 0

3 years ago

4tantheta/12-tan^2=1

egoroff_w [7]

$4tan \theta = 12 - tan^{2} \theta$
$tan^{2} \theta + 4tan \theta - 12 = 0$

Let $x = tan \theta$
$x^{2} + 4x - 12 = 0$
$(x + 6)(x - 2) = 0$
$x = -6, x = 2$

$tan \theta = -6, tan \theta = 2$

Since they both work, then we can write the solutions in general form:
$\theta = n \pi + tan^{-1}(2)$ , $n \in Z$
$\theta = n \pi - tan^{-1}(6)$ , $n \in Z$

Now, these solutions will always satisfy the equation and substituting a whole number in place of n will produce a solution that satisfies the given equation.

8 0

3 years ago

James and Cameron are watching a film. They pause it with one fifth left to watch. What is the ratio of how much they have watch

goldenfox [79]

Answer:

The ratio of how much they have watched to how much they have left to see is 4 : 1.

Step-by-step explanation:

Consider that the total duration of the film is, 1.

It is provided that James and Cameron paused when there is one-fifth left to watch.

That is, they have already watched, $1-\frac{1}{5}=\frac{4}{5}$ th of the film.

Compute the ratio of how much they have watched to how much they have left to see as follows:

$\frac{\text{Duration Watched}}{\text{Duration Left}}=\frac{4/5}{1/5}=\frac{4}{1}=4:1$

Thus, the ratio of how much they have watched to how much they have left to see is 4 : 1.

5 0

3 years ago

Write a rule for the sequence. Then find the next three terms. 6, 8, 10, 12

BaLLatris [955]

The answer is d because the sequence is add two of the last term
6+2=8+2=10+2=12+2=14+2=16+2=18...

8 0

3 years ago

Given the speeds of each runner below, determine who runs the fastest. Stephanie runs 10 feet per second. Stephanie runs 10 feet

kozerog [31]

9514 1404 393

Answer:

Adam

Step-by-step explanation:

It is pretty easy to make comparisons to 10 ft/s.

If Liz ran 10 ft/s, she would run 460 ft in 46 s. Since she runs 420 ft, she runs slower than that.

If Emily ran 10 ft/s, she would run 600 ft in 1 minute, so Emily runs faster than that.

If Adam ran 10 ft/s, he would only run 4270 ft in 427 seconds. Since he runs 5280 ft in that time, his speed is definitely greater than 10 ft/s.

__

At this point, we know that Adam and Emily run faster than Liz and Stephanie. So we need to compare Adam and Emily's rates.

Adam's time for 1 mile is about 7 minutes. If Emily ran for 7 minutes, her distance would be less than 7×700 ft = 4900 ft, substantially less than 1 mile (5280 ft).

Adam runs the fastest.

_____

<em>Comment on straightforward solution</em>

Each rate can be computed by dividing distance by time:

Liz: (420 ft)/(46 s) = 9.13 ft/s

Adam: (5280 ft)/(427 s) = 12.37 ft/s

Emily: (667 ft)/60 s) = 11.12 ft/s

Adam's is the highest, well above Stephanie's 10 ft/s.

These calculations require a calculator. The solution above was done without a calculator.

4 0

3 years ago