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3 years ago

-f(x) = 2x + 6 Find f(-4)

Mathematics

1 answer:

jenyasd209 [6]3 years ago

4 0

The answer is 1 Bcuz u have to first plug in -4 for f then solve the equation by adding like terms and dividing

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An orange juice company sells a can of frozen orange juice that measures 9.4 centimeters in height and 5.2 centimeters in diamet

drek231 [11]

<h2>Hello!</h2>

The answer is:

The third option:

2.7 times as much.

To calculate how many more juice will the new can hold, we need to calculate the old can volume to the new can volume.

So, calculating we have:

Old can:

Since the cans have a right cylinder shape, we can calculate their volume using the following formula:

$Volume_{RightCylinder}=Volume_{Can}=\pi r^{2} h$

Where,

$r=radius=\frac{diameter}{2}\\h=height$

We are given the old can dimensions:

$radius=\frac{5.2cm}{2}=2.6cm\\\\height=9.4cm$

So, calculating the volume, we have:

$Volume_{Can}=\pi *2.6cm^{2} *9.4cm=199.7cm^{3}$

We have that the volume of the old can is:

$Volume_{Can}=199.7cm^{2}$

New can:

We are given the new can dimensions, the diameter is increased but the height is the same, so:

$radius=\frac{8.5cm}{2}=4.25cm\\\\height=9.4cm$

Calculating we have:

$Volume_{Can}=\pi *4.25cm^{2} *9.4cm=533.40cm^{3}$

Now, dividing the volume of the new can by the old can volume to know how many times more juice will the new can hold, we have:

$\frac{533.4cm^{3} }{199.7cm^{3}}=2.67=2.7$

Hence, we have that the new can hold 2.7 more juice than the old can, so, the answer is the third option:

2.7 times as much.

Have a nice day!

3 0

2 years ago

If a pitcher that holds 2 gallons and 9 people share the entire pitcher equally how much punch does each person get

Sergio [31]

3.5cups or 0.222222222 of a gallon

3 0

2 years ago

Meredith has 8 pens and 9 pencils. Brody has 4 pens and 9 pencils.

raketka [301]

Answer:

i think the answer is 94

Step-by-step explanation:

6 0

2 years ago

ASAP PLEASE HELP An ostrich egg has a mass of 1.2 kg to the nearest tenth of a kilogram. Find the minimum and maximum possible m

katen-ka-za [31]

The maximum possible measurement is 1.25 Kg and the minimum possible measurement is 1.15 kg

<u>Solution:</u>

Given mass of an ostrich egg is 1.2 Kg

We have to find the minimum and maximum possible measurements to the nearest tenth of a kilogram

The greatest possible error in measurement nearest tenth of a kilogram, is a half a tenth of a kilogram which is:-

$\frac{1}{2} \times \frac{1}{10}=\frac{1}{20}$

Now, the maximum value will be equal to calculated amount plus the error in measurement of value .i.e.

$\text { Maximum value }=1.2+\frac{1}{20}=1.2+0.05=1.25$

Now, the minimum value will be equal to calculated amount minus the error in measurement of value .i.e.

$\text { Minimum value }=1.2-\frac{1}{20}=1.2-0.05=1.15$

Hence, maximum possible measurement is 1.25 Kg

And the minimum possible measurement is 1.15 kg

3 0

2 years ago

) Suppose that a subset of five balls will be randomly selected from an urn containing amber, blue, and green balls. (a) If the

vazorg [7]

Answer:

0.0023 = 0.23% probability that all 5 balls selected will be the same color

Step-by-step explanation:

A probability is the number of desired outcomes divided by the number of total outcomes.

The order in which the balls are selected is not important, which means that the combinations formula is used to solve this question.

Combinations formula:

$C_{n,x}$ is the number of different combinations of x objects from a set of n elements, given by the following formula.

$C_{n,x} = \frac{n!}{x!(n-x)!}$

Desired outcomes:

Either 5 amber from a set of 6, or 5 blue from a set of 5. So

$D = C_{6,5} + C_{5,5} = \frac{6!}{5!1!} + \frac{5!}{5!0!} = 6 + 1 = 7$

Total outcomes:

5 balls selected from a set of 6 + 5 + 4 = 15. So

$T = C_{15,5} = \frac{15!}{5!10!} = 3003$

Probability:

$p = \frac{D}{T} = \frac{7}{3003} = 0.0023$

0.0023 = 0.23% probability that all 5 balls selected will be the same color

5 0

2 years ago