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cestrela7 [59]
3 years ago
15

Julie is enjoying the pool and hot tub at her hotel. She likes jumping from the colt 65° pool into the hot 107° hot tub. What is

the temperature difference Julie is experiencing as she moves from pool to hot tub?
Mathematics
1 answer:
Svetllana [295]3 years ago
3 0

Answer:

42

Step-by-step explanation:

Because she is moving from a 65 degree pool into a 107 degree hot tub so there is a 42 degree difference when she moves to the hot tub from the pool.

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You went shopping for classroom supplies. You bought 255 blue pens, 100 red pens, and 189 green pens. How many pens did you buy
jeyben [28]
I bought 544 pens in all
7 0
3 years ago
I don’t understand this help please
Elodia [21]

Answer:

  9

Step-by-step explanation:

The first simplification we can make is to replace 6^0 with 1.

The first rules of exponents we can apply are ...

  <em>(a·b)^c = a^c·b^c</em> . . . . . . similar to the distributive property

<em>   (a^b)^c = a^(b·c)</em>

This reduces your expression to ...

  (2^8\cdot 3^{-5})^{-2}\cdot\left(\dfrac{3^{-2}}{2^3}\right)^4\cdot 2^{28}=2^{8(-2)}\cdot 3^{-5(-2)}\cdot\dfrac{3^{-2(4)}}{2^{3(4)}}\cdot 2^{28}\\\\=2^{-16}\cdot 3^{10}\cdot\dfrac{3^{-8}}{2^{12}}\cdot 2^{28}

Now we can apply another two rules of exponents:

<em>   (a^b)(a^c) = a^(b+c)</em>

<em>   1/a^b = a^-b</em>

Using these, we have ...

  =2^{-16-12+28}\cdot 3^{10-8}\\\\=2^0\cdot 3^2\\\\=1\cdot 9=9

The value of the expression is 9.

3 0
3 years ago
I need help for real, no helpless answers please!
nikklg [1K]

Given:

m∠R = 90°

m∠Q = 6°

PQ = 2.2 ft

RP = x

To find:

The length of RP.

Solution:

Using basic trigonometric formula:

$\sin \theta =\frac{\text{Opposite of} \ \theta}{\text{Hypotenuse}}

$\sin 6^\circ =\frac{x}{2.2}

$0.1=\frac{x}{2.2}

Multiply by 2.2 on both sides.

$0.1\times2.2=\frac{x}{2.2}\times2.2

$0.22=x

$0.2=x (nearest tenth)

The length of RP is 0.2 feet.

8 0
3 years ago
If y=−3, then 4y/4+y = ?
Charra [1.4K]

Answer:

If y=−3,

then

4y/4+y

=4×(-3)/4+(-3)

= -12/1

= -12 ,,

6 0
3 years ago
⦁ What are the key aspects of any parabola? What do the key aspects tell you about the graph?
olya-2409 [2.1K]

One form of the equation of a vertical parabola is y = x^2, which is the same as y-0 = a(x-0)^2.

If the coefficient a is positive, the parabola opens up.   If a is - the parabola opens down.

The vertex of this parabola is (0,0).  

More generally, y - k = a(x - h)^2 represents a vertical parabola that opens up if a is + and opens down if a is - and has its vertex at (h,k).

Often a = 1.  If a is greater than 1, the graph of the parabola is stretched vertically; if less than 1, the graph is compressed vertically (and thus appears to be flatter).

y - k = a(x - h)^2 is called the 'general vertex form' of a vertical parabola.

This is a quadratic equation.  With some algebra, we could rewrite

y - k = a(x - h)^2 in the form y = ax^2 + bx + c.

x-intercepts of this parabola, if any, can be found using the quadratic formula, involving the constant coefficients a, b and c.



6 0
3 years ago
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