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Natasha_Volkova [10]
3 years ago
6

CAN SOMEONE HELP???????????

Mathematics
1 answer:
guapka [62]3 years ago
6 0

Answer:

g(-1) = -1

g(-0.25) = 0

g(2) = 2

Step-by-step explanation:

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A scientist has a sample of the radioactive isotope bismuth-212. The isotope decays exponentially as shown in the table. Time (s
luda_lava [24]

Answer:

f(x) = 30 • 0.989x

Step-by-step explanation:

Given the data :

10 26.8

20 23.9

30 21.3

40 19

50 16.9

60 15.1

Using technology, the exponential model equation obtained by plotting the data is :

y = 30.068(0.989)^x

Based on the general exponential formula :

y = ab^x

y = predicted value

Initial value, a = 30.068

Rate = b = 0.989

The most appropriate model equation from the options given is :

f(x) = 30 • 0.989^x

7 0
3 years ago
The area of a rectangle is expressed as (14r + 21) square feet. If the width of the
lilavasa [31]

Answer:

 L  = 2r  + 3

Step-by-step explanation:

Given parameters:

Area of rectangle  = 14r + 21

Width of the rectangle  = 7ft

Unknown:

Length of the rectangle  = ?

Solution:

If the length of the rectangle is designated as L;

 Area of a rectangle = Length x width

Now insert the parameters:

           14r + 21   = L x 7

            L  = \frac{14r + 21}{7}  

           L  = 2r  + 3

8 0
3 years ago
3 regions are defined in the figure find the volume generated by rotating the given region about the specific line
anastassius [24]

The volume generated by rotating the given region R_{3} about OC is \frac{4}{g}  \pi

<h3>Washer method</h3>

Because the given region (R_{3}) has a look like a washer, we will apply the washer method to find the volume generated by rotating the given region about the specific line.

solution

We first find the value of x and y

y=2(x)^{\frac{1}{4} }

x=(\frac{y}{2} )^{4}

y=2x

x=\frac{y}{2}

\int\limits^a_b {\pi } \, (R_{o^{2} }  - R_{i^{2} } )       dy

R_{o} = x = \frac{y}{2}

R_{i} = x= (\frac{y}{2}) ^{4}

a=0, b=2

v= \int\limits^2_o {\pi } \, [(\frac{y}{2})^{2} - ((\frac{y}{2}) ^{4} )^{2} )  dy

v= \pi \int\limits^2_o= [\frac{y^{2} }{4} - \frac{y^{8} }{2^{8} }}  ] dy

v= \pi [\int\limits^2_o {\frac{y^{2} }{4} } \, dy - \int\limits^2_o {\frac{y}{2^{8} } ^{8} } \, dy ]

v=\pi [\frac{1}{4} \frac{y^{3} }{3}  \int\limits^2_0 - \frac{1}{2^{8} }  \frac{y^{g} }{g} \int\limits^2_o\\v= \pi [\frac{1}{12} (2^{3} -0)-\frac{1}{2^{8}*9 } (2^{g} -0)]\\v= \pi [\frac{2}{3} -\frac{2}{g} ]\\v= \frac{4}{g} \pi

A similar question about finding the volume generated by a given region is answered here: brainly.com/question/3455095

6 0
2 years ago
Looking at the bill in a restaurant Mr. Svoboda had a difficult time reading the price of the meal. But he could see that 5% tax
padilas [110]

Answer:

The tip would be worth $2.19

Step-by-step explanation:

x - is the full bill

1/20 x = $0.73

Solve for x:

Multiply both sides by 20.

<u>20</u>*(1/20 x) = <u>20</u>*(0.73)

x = 14.6

Now we just have to find 15% of x to find the tip.

3/20 (14.6) = 2.19

So, the tip would be worth $2.19

6 0
3 years ago
Write 0.192 and 0.042 as a fraction. Write 189/1000 and 3/1000 as a decimal.
luda_lava [24]

Answer:

0.192 = 24/125

0.042 = 21/500

189/1000 = 0.189

3/1000 = 0.003

8 0
3 years ago
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