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3 years ago

8

You decide to go to the movies for your birthday. You need to buy 8 student tickets and 2 adult tickets. If student tickets are

$10.68 and adult tickets are $13.68, how much do the tickets cost in total?

2 answers:

Leto [7]3 years ago

5 0

Answer:

$112.80

Step-by-step explanation:

You are buying 8 student tickets, each costing $10.68. Multiply 8 with 10.68:

10.68 x 8 = 85.44

You are buying another 2 adult tickets, each costing $13.68. Multiply 2 with 13.68:

13.68 x 2 = 27.36

Next, add the two costs together:

27.36 + 85.44 = 112.80

$112.80 is your total cost.

~

Dafna1 [17]3 years ago

4 0

Answer:

112.80

Step-by-step explanation:

multiply 8 by 10.68 and 2 by 13.68 add together

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a math student is standing 40 feet from the base of a water tower. the angle of elevation from her horizontal line of sight is 7

Lerok [7]

9514 1404 393

Answer:

128 ft

Step-by-step explanation:

The height of the tower above eye-height is related to the angle by ...

Tan = Opposite/Adjacent

tan(72°) = (tower height above eye height)/(40 ft)

tower height above eye height = (40 ft)×tan(72°) = 123 ft

Since eye height is 5 ft, the total height of the tower from the ground is ...

tower height = eye height + height above eye height

tower height = 5 ft + 123 ft

tower height = 128 ft

4 0

3 years ago

Limit question: lim x-->pi ((e^sinx)-1)/(x-pi)

aleksandr82 [10.1K]

$\displaystyle\lim_{x\to\pi}\dfrac{e^{\sin x}-1}{x-\pi}$

Notice that if $f(x)=e^{\sin x}$ , then $f(\pi)=e^{\sin\pi}=e^0=1$ . Recall the definition of the derivative of a function $f(x)$ at a point $x=c$ :

$f'(c):=\displaystyle\lim_{x\to c}\frac{f(x)-f(c)}{x-c}$

So the value of this limit is exactly the value of the derivative of $f(x)=e^{\sin x}$ at $x=\pi$ .

You have

$f'(x)=\cos x\,e^{\sin x}\implies f'(\pi)=\cos\pi\,e^{\sin\pi}=-1$

4 0

3 years ago

Given a function <img src="https://tex.z-dn.net/?f=f%28x%29%3D3x%5E4-5x%5E2%2B2x-3" id="TexFormula1" title="f(x)=3x^4-5x^2+2x-3"

Levart [38]

Answer:

$\huge\boxed{f(-1) = -7}$

Step-by-step explanation:

In order to solve for this function, we need to substitute in our value of x inside to find f(x). Since we are trying to evalue f(-1), we will substitute -1 in as x to our equation.

$f(-1) = 3(-1)^4 - 5(-1)^2 + 2(-1) - 3$

Now we can solve for the function by multiplying/subtracting/adding our known values.

Starting with the first term to the last term:

$3(-1)^4 = 3$

<u><em>WAIT</em></u><em>!</em><em> How is this possible? </em> $-1^4 = -1$ (according to my calculator), and $3 \cdot -1 = -3$ , not 3!

It's important to note that taking a power of a negative number and multiplying a negative number are two different things. Let's use $-2^2$ as an example.

What your calculator did was follow BEMDAS since it wasn't explicitly told not to.

BEMDAS:

- Brackets

- Exponents

- Multiplication/Division

- Addition/Subtraction

Examining the equation, your calculator used this rule properly. Note that exponents come over multiplication.

So rather than being <em>"-2 squared"</em> - it's <em>"the negative of of 2 squared."</em>

Tying this back into our problem, the squared method would only be true if it looks like $-1^4$ . However, since we're substituting in -1, it looks like $(-1)^4$ , so the expression reads out as "<u><em>-1 to the fourth.</em></u>"

MULTIPLYING -1 by itself 4 times results in $-1\cdot-1\cdot-1\cdot-1=1$ .

Applying this logic to our original term, $3(-1)^4$ :

$3(-1\cdot-1\cdot-1\cdot-1)$
$3(1)$
$3$

Therefore, our first term is 3.

Let's move on to our second and third terms.

Second term: $-5x^2$

$-5(-1)^2$

Applying the same logic from our first term:

$-5(-1 \cdot -1)$
$-5(1)$
$-5$

Third term: $2x$

$2(-1) = -2$

-3 is just -3, no influence of x.

Combining our terms, we have $3-5-2-3$ .

This comes out to be -7, hence, the value of $f(-1)$ for our function $f(x)=3x^4-5x^2+2x-3$ is <u>-7</u>.

Hope this helped!

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3 years ago

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Peter and Jane have some money in the ratio 1:3

dexar [7]

Peter=x
Jane=3x
3x-x=12
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3 years ago

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1/4 + 1/2 + x = -3/4

Sati [7]

Hi MonkeyJohnny123,

Solution:

= 1/4 + 1/2 + x = -3/4

= 1/4 + 2/4 + x = -3/4

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Answer:

-6/4

8 0

3 years ago

Read 2 more answers