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Serggg [28]
2 years ago
9

Write the interval (5, 100] as an inequality and using set notation

Mathematics
1 answer:
Arada [10]2 years ago
7 0
An inequality is a statement that shows relation between two values, when the two values are not equal.
The inequality is opposite than equality.
So, the interval (5,100] means that it contains all number from number 5 (not and 5)  till 100, including 100. We can see this from the bracket's type. 
For a value x in this interval we can write the inequality:
5<x<=100
x is bigger than 5 , and smaller or equal 100
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The following function represents the value of a motorcycle, in dollars, after x years: f(x) = 19,000(0.91)x
Semenov [28]

Answer:

Option C.The decrease in the value of the motorcycle, which is 9%

Step-by-step explanation:

we have a exponential function of the form

f(x)= ab^x

where

a is the initial value

b represents growth or decay factor

If b >1 then it is an exponential growth

if 0<b<1 then it is an exponential decay

In this problem

a=$19,000

b=0.91 -----> it is exponential decay factor

Find the rate of decrease r

b=(1-r)

substitute

0.91=1-r

r=1-0.91=0.09

Convert to percentage

0.09*100=9%

therefore

0.91 represent the decrease in the value of the motorcycle, which is 9%

7 0
3 years ago
Read 2 more answers
What does it mean for the ratio of surface area to volume to be small or large? Which ratios are better economically?
ValentinkaMS [17]
The goal is to get the volume as large as possible while the surface area is made as small as possible. Why? Because the volume is the amount of stuff you can hold and the surface area is the amount of material to make the container.

Consider an example of making a cup. The inside portion is the amount the cup can hold. The more liquid, the better. The cup makers want to use as little material as possible so that they reduce costs. If the cup makers produce a cup that has volume of 10 cubic inches and uses 10 square inches of material, then the surface area to volume ratio is 10:10 which reduces to 1:1. A more efficient cup is made if that same volume (10 cubic inches) can be made for less material say 5 square inches to make the ratio now 5:10 which reduces to 1:2. 

So in summary, reducing the surface area to volume ratio will make more sense economically as the company makes more money while reducing costs (therefore increasing overall profit)
3 0
3 years ago
Read 2 more answers
An insurance company has 10,000 automobile policyholders. The expected yearly claim per policyholder is $240, with a standard de
elena55 [62]

Answer:

almost 0%

Step-by-step explanation:

Given that for an insurance company with 10000 automobile policy holders, the expected yearly claim per policyholder is $240 with a standard deaviation of 800

using normal approximation, the probability that the total yearly claim exceeds $2.7 million is calculated as follows:

Sea sumatoria de x = SUMX, tenemos que:

P (SUMX \geq 2700000) = P(\frac{SUMX - 240*10000}{800 *\sqrt{10000} } \geq \frac{2700000 - 240*10000}{800 *\sqrt{10000} })

= P (z\geq \frac{2700000 - 240*10000}{800 *\sqrt{10000}})

= P (z => 3.75)

= 1 - P ( z < 3.75)

P = 1 - 0.999912

P = 0.000088

Which means that the probability is almost 0%

4 0
3 years ago
Area of 320 square feet, the width of the room is 4/5 it's length
jasenka [17]
Area=legnth times width or
a=lw

if w=4/5l
and a=320 then subsitute 320 for a dn 4/5l for w
320=4/5l times l
multiply both sides by 5 to clear fraction
1600=4l times l
ad like terms
1600=4l^2
subtract 1600 from both sides
0=4l^2-1600
try and factor because if you have xy=0 then x and/or y=0 so
difference of 2 perfect squares where
if you have a^2-b^2 then that equals(a-b)(a+b) so
0=(2l)^2-(40)^2=(2l-40)(2l+40)

so 2l-40=0
add 40 to both sides
2l=40
divide by 2
l=20

if
2l+40=0
subtract 40 from both sides
2l=-40
divide 2
l=-20
since meausrements of real objects cannot be negative, wediscard this number


l=20 is thhe true legnth s
subsitute
w=4/5l
w=4/5(20)
w=80/5
w=16

legnth=20
width=16
8 0
3 years ago
Please look at the screenshots and please help me
nordsb [41]
II. Find the area of the ahaded region.
1. Area of the entire parallelogram- 64 in2
2. Area of rectangle in the middle- 12 in2
3. 64 - 12 = 52 in2

10)
1. 18 cm2
2. 4.5 cm2
3. 18 - 4.5 = 13.5 cm2

13)
Area= Base x Height
Area= 9 x 8
Area= 72 ft2

14)
Area= 1/2 height (base1 + base2)
Area= 1/2 x 24 x (30 + 28)
Area= 696 in2

MARK ME BRAINLIEST TYSM
6 0
2 years ago
Read 2 more answers
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