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2 years ago

If a construction work digs down to 30 feet below the surface of the ground. What is her elevation?

Mathematics

1 answer:

tresset_1 [31]2 years ago

4 0

Answer:

-30 feet

Step-by-step explanation:

You are going down so it would be negative, if you were going up it would be posotive.

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Choose the triangle that seems to be congruent to △AEC. △BFC △ABD △EFD

Mashutka [201]

Answer. Triangle ABD

Explanation: There’s no thinking in this, because you can use your eyes to look for the answer. Not all questions will have this type of question. But they do seem pretty similar to me.

6 0

2 years ago

Sin(5x+20)

WINSTONCH [101]

Answer:

Yes.

Step-by-step explanation:

Just like normal algebra, you factor our the common factor, in this case, 5.

Thus,

$\sin(5(x + 4))$

4 0

3 years ago

The number of bacteria in a refrigerated food product is given by N ( T ) = 22 T 2 − 123 T + 40 , 6 < T < 36 , where T is

antoniya [11.8K]

Answer:

$N(T(t)) = 1408t^2 - 385.6t - 105.52$

Time for bacteria count reaching 8019: t = 2.543 hours

Step-by-step explanation:

To find the composite function N(T(t)), we just need to use the value of T(t) for each T in the function N(T). So we have that:

$N(T(t)) = 22 * (8t + 1.7)^2 - 123 * (8t + 1.7) + 40$

$N(T(t)) = 22 * (64t^2 + 27.2t + 2.89) - 984t - 209.1 + 40$

$N(T(t)) = 1408t^2 + 598.4t + 63.58 - 984t - 169.1$

$N(T(t)) = 1408t^2 - 385.6t - 105.52$

Now, to find the time when the bacteria count reaches 8019, we just need to use N(T(t)) = 8019 and then find the value of t:

$8019 = 1408t^2 - 385.6t - 105.52$

$1408t^2 - 385.6t - 8124.52 = 0$

Solving this quadratic equation, we have that t = 2.543 hours, so that is the time needed to the bacteria count reaching 8019.

4 0

3 years ago

5000 people attend 1 movie each in one week. Regular show ticket is $9.50 and matinee tickets are $7. The total amount spent was

yuradex [85]

Answer:

1400

Step-by-step explanation:

Given: Cost of Regular ticket = $9.50

Cost of Matinee tickets= $7

Total number of people= 5000

Total spending in watching movie= $44000.

Lets assume total number of people attended matinee be "x".

∴ Number of people attended Regualr show= $(5000-x)$

We know, total cost= $Price\ of\ each\ ticket \times number\ of\ people$

Now, forming an equation to show total spending on tickets.

⇒ $\$ 9.50(5000-x)+ \$ 7x= \$ 44000$

Using distributive property of multiplication to multiply 9.50 with 5000 and -x.

⇒ $47500-9.50x+7x= 44000$

⇒ $47500-2.5x= 44000$

Adding both side by 2.5x

⇒ $47500 = 44000 + 2.5x$

subtracting both side by 44000

⇒ $3500= 2.5x$

Dividing both side by 2.5

⇒ $x= \frac{3500}{2.5}$

∴ $x= 1400$

Hence, number of people attended the matinee show are 1400.

7 0

2 years ago

The sum of three consecutive odd integers is -129. lost the numbers from smallest to largest.

frozen [14]

Answer:

15ndndndbdbdbdbbdbdbdd

8 0

3 years ago