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2 years ago

Please help with this question so I'm going to fail math

Mathematics

1 answer:

vovangra [49]2 years ago

7 0

Answer:

108: 4x3^3, 3^2x12, 6^2x3

96: 2^5x3, 2^3x122^4x6

Step-by-step explanation:

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the inn has ten rooms. 1/2 of the rooms are reserved for friday. the rest are vacant. If 2 more rooms are reserved for friday, w

Ganezh [65]

7 total rooms will be occupied on Friday.

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3 years ago

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The value of which of these expressions is closest to e?

Anna [14]

Answer:

Using a calculator, we can check that e=2.718281828.

Step-by-step explanation:

Lets evaluate each one of our expression the check which one is closest to e:

(1+ \frac{1}{31} )^{31}=2.675686306

(1+ \frac{1}{32})^{32}=2.676990129

(1+ \frac{1}{34} )^{34}=2.679355428

(1+ \frac{1}{33} )^{33}=2.678207651

We can conclude that the value of (1 +1/34) to the power of 34 is the closest to the value of e.

4 0

3 years ago

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Write the equation in vertex form and then find the vertex, focus, and directrix of a parabola with equation x=y^2+18y-2

kakasveta [241]

Answer:

Part 1) The vertex is the point (-83,-9)

Part 2) The focus is the point (-82.75,-9)

Part 3) The directrix is $x=-83.25$

Step-by-step explanation:

step 1

Find the vertex

we know that

The equation of a horizontal parabola in the standard form is equal to

$(y - k)^{2}=4p(x - h)$

where

p≠ 0.

(h,k) is the vertex

(h + p, k) is the focus

x=h-p is the directrix

In this problem we have

$x=y^{2} +18y-2$

Convert to standard form

$x+2=y^{2} +18y$

$x+2+81=y^{2} +18y+81$

$x+83=(y+9)^{2}$

This is a horizontal parabola open to the right

(h,k) is the point (-83,-9)

The vertex is the point (-83,-9)

step 2

we have

$x+83=(y+9)^{2}$

<em>Find the value of p</em>

$4p=1$

$p=1/4$

<em>Find the focus</em>

(h + p, k) is the focus

substitute

(-83+1/4,-9)

The focus is the point (-82.75,-9)

step 3

Find the directrix

The directrix of a horizontal parabola is

$x=h-p$

substitute

$x=-83-1/4$

$x=-83.25$

6 0

3 years ago

8 and 1/6 multiply 2^x = 32 and 1/2 Work out the exact value of x

Ainat [17]

Answer:

x=56

Step-by-step explanation:

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2 years ago

Use the numbers 8, 6, and 2 and one operation to write and expression that includes an exponent and has a value of 8. Use each n

Vesnalui [34]

Answer:

$6+2^{1}=8 \Rightarrow 6+2=8 \Rightarrow 8=8$

Step-by-step explanation:

1) One solution is to write, as our exponent:

$2^{1}=2$

2) Because this is special case of the Exponents Law, valid for every base ≠ 0.

$a^{1}=a$

3) Hence, including an exponent the numbers 6, 2 whose value is eight.

$6+2^{1}=8 \Rightarrow 6+2=8 \Rightarrow 8=8$

Therefore our expression is true

4 0

3 years ago

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