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2 years ago

The library made a table to track the number of fiction and nonfiction books checked out for 6 days.

Mathematics

2 answers:

coldgirl [10]2 years ago

6 0

Answer:

18 fiction = 3

12 non fiction= 2

Step-by-step explanation:

UNO [17]2 years ago

3 0

Step-by-step explanation:

6 days+12 days=18

so 18 fiction books+12 non fiction=20 fiction and 10 non fiction

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Which are the roots of the quadratic function f(b) = 62 – 75? Select two options.

elena55 [62]

Answer:

$b = 5 \sqrt{3} \ or\ b = -5 \sqrt{3}$

Step-by-step explanation:

Given

$f(b) = b^2 - 75$

Required

Determine the roots

To get the root of the function, then f(b) must be 0;

i.e. f(b) = 0

So, the expression becomes

$0 = b^2 - 75$

Add 75 to both sides

$75 + 0 = b^2 - 75 + 75$

$75 = b^2$

Take square roots of both sides

$\sqrt{75} = \sqrt{b^2}$

$\sqrt{75} = b$

Reorder

$b = \sqrt{75}$

Expand 75 as a product of 25 and 3

$b = \sqrt{25*3}$

Split the expression

$b = \sqrt{25} *\sqrt{3}$

$b = \±5 *\sqrt{3}$

$b = \±5 \sqrt{3}$

$b = 5 \sqrt{3} \ or\ b = -5 \sqrt{3}$

The options are not clear enough; however the roots of the equation are $b = 5 \sqrt{3} \ or\ b = -5 \sqrt{3}$

4 0

3 years ago

If you have a bag of marbles, 5 blue, 2 red, 6 purple, and 5 green, what is the probability of selecting a blue marble?

Feliz [49]

Answer:

5/18 or about 0.28

Step-by-step explanation:

5 + 2 + 6 + 5 = 18

5/18 or about 0.28

3 0

2 years ago

Read 2 more answers

A falling object accerlates from -10.0m/s to -30.0m/s how much time does that take

Leya [2.2K]

Answer:

2.04 seconds

Step-by-step explanation:

Falling objects near the surface of the earth have an acceleration of -9.81 m/s².

Acceleration is the change in velocity over change in time:

a = (v − v₀) / t

-9.81 = (-30.0 − (-10.0)) / t

-9.81 = -20.0 / t

t = 2.04

It takes 2.04 seconds.

5 0

2 years ago

The temperature inside a certain industrial machine at time t seconds after startup, for 0 < t < 10, is given by h(t) = 42

frutty [35]

Answer:

$t= \frac{125}{38} s$

Step-by-step explanation:

We are given the temperature inside the machine from startup until 10 seconds later, the formula is:

$h(t)= 42 \cdot t +1 - 4\cdot t +2 (degrees \, C)$

We want to know at what time t the temperature inside the machine will be equal to 128 °C.

So we set:

$h(t)=128$

$42\cdot t+1-4\cdot t+2=128$

Now, we rearrange the equation to keep terms with t on the left hand side and terms without t on the right hand side

$42\cdot t-4\cdot t=128-1-2$

and we simplify:

$(42-4)\cdot t= 128-2-1= 125$

$38 \cdot t = 125$

now it's easy to solve for t:

$t=\frac{125}{38}$

And thus we arrive to the solution.

5 0

2 years ago

Please select the best answer from the choices provided

FromTheMoon [43]

Answer:

$\sqrt{122}$

Step-by-step explanation:

Given that,

Vector n = 4i-j

Vector m = 3i+3j

We need to find the value of m+2n.

Put all the values,

m+2n = (3i+3j)+2(4i-j)

= (3i+3j)+8i-2j

=11i+j

Magnitude of vector,

$|m+2n|=\sqrt{11^2+1^2} \\\\=\sqrt{121+1}\\\\=\sqrt{122}$

So the correct option is (c).

6 0

2 years ago