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3 years ago

15

You are working as an assistant to a The chef has 8 cups of berries and will va cup of berries for each dessert he makes How man

y desserts can he make?

1 answer:

creativ13 [48]3 years ago

4 0

Could you maybe retype that? I can't really understand the question.

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one hose can fill a goldfish pond in 14 minutes, and the two hoses can fill the same pond in 10 minutes, find how long it takes

likoan [24]

Answer:

35

Step-by-step explanation:

$\frac{1}{14} +\frac{1}{t} =\frac{1}{10}$

Solving this ^^ would equal t=35.

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!

4 0

3 years ago

Read 2 more answers

Elizabeth can run 3/4 mile in 1/10 of an hour. What is her speed in miles per hour?

Temka [501]

0.75 miles per hour I think....

7 0

3 years ago

Sam will spend at most $27 on gifts. So far, he has spent $18. What are the possible additional amounts he will spend? Use c for

Assoli18 [71]

Answer:$9

Step-by-step explanation:

Let the additional amount be c

Total amount to spend on gift is $27

He had spent $18 so far

$18+c= $27

C= $27-$18

C=$9

5 0

3 years ago

Read 2 more answers

Plz Helppp meeee assapppp

Gwar [14]

Given:

A right angled triangle.

To find:

The value of x.

Solution:

We have,

Base = x

Hypotenuse = $\sqrt{5}$

In a right angle triangle,

$\cos \theta = \dfrac{Base}{Hypotenuse}$

For the given triangle,

$\cos 45^\circ= \dfrac{x}{\sqrt{5}}$

$\dfrac{1}{\sqrt{2}}= \dfrac{x}{\sqrt{5}}$

Multiply both sides by $\sqrt{5}$ .

$\dfrac{\sqrt{5}}{\sqrt{2}}= x$

$\dfrac{\sqrt{5}}{\sqrt{2}}\times \dfrac{\sqrt{2}}{\sqrt{2}}= x$

$\dfrac{\sqrt{10}}{2}= x$

Therefore, the required value of x is $\dfrac{\sqrt{10}}{2}$ .

8 0

2 years ago