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2 years ago

At what point will f(x) = 3^x exceed g(x) = 2x + 5 and h(x) = x^2 +4?

Mathematics

1 answer:

Alex73 [517]2 years ago

5 0

Answer: B ( 2,9) .

Step-by-step explanation:

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The diagram shows the net of a juice box. The box is a rectangular prism.

Hoochie [10]

Answer:

269.6 square centimeters

Step-by-step explanation:

The correct question is

The diagram shows the net of a juice box. the box is a rectangular prism. what is the surface area of the juice box? 6.4 cm 4 cm 10.5 cm

we know that

The surface area of a rectangular prism is equal to

$SA=2B+PH$

where

B is the area of the base

P is the perimeter of the base

H is the height of the prism

we have

$L=6.4\ cm\\W=4\ cm\\H=10.5\ cm$

Find the area of the base B

$B=LW$

substitute the given values

$B=(6.4)(4)=25.6\ cm^2$

Find the perimeter of the base P

$P=2(L+W)$

substitute the given values

$P=2(6.4+4)=20.8\ cm$

Find the surface area

$SA=2B+PH$

substitute

$SA=2(25.6)+(20.8)10.5=269.6\ cm^2$

6 0

2 years ago

The first performance of the school play sold out for all 2000 tickets. The tickets sales receipts totaled$8500. If adults paid

azamat

A+s=2000
5a+3s=8500
a=-s+2000
-5s+10000+3s=8500
-2s=-1500
s=750
a=1250
They sold 750 student tickets and 1,250 adult tickets

8 0

2 years ago

Which value of x is a solution of the inequality 25x - 100 < 250?

Leona [35]

Answer:

inequality form: x<14

Step-by-step explanation: Isolate the variable by dividing each side by factors that don't contain the variable.

5 0

2 years ago

A survey was conducted to determine whether hours of sleep per night are independent of age. A sample of individuals was asked t

alekssr [168]

Answer:

Sleep hours per night is independent.

Step-by-step explanation:

Given the data:

Hours of Sleep 39 or younger 40 or older

> 6 _____38 36

6 to 6.9 _ 61 58

7 to 7.9 __76 74

8 or more 65 92

The Chisquare statistic is to be used to perform the analysis :

The hypothesis :

H0: Sleep hours per night is independent

H1: Sleep hours per night is not independent

χ² = (observed - Expected)² / Expected

To save computation time. We could use a Chisquare calculator to perform the analysis :

The test statistic = 4.0061

The degree of freedom = (row - 1) * (column - 1)

Degree of freedom = (4-1)*(2-1) = 3*1 = 3

The Pvalue = 0.261

Since, Pvalue > α ; We fail to reject the H0 ;and conclude that sleep hours per night is independent.

______________total ___%

> 6 _____38 36__ 74 __ 14.8

6 to 6.9 _ 61 58 __ 119 __23.8

7 to 7.9 __76 74___150__30

8 or more 65 92___157__31.4

_______240 _260__500_100

7 0

2 years ago

$ 600 at 5 % for 2 years

Anarel [89]

Answer:

interest = $60

Step-by-step explanation:

use the formula i = prt

p = $600

r = 5%

t = 2 years

7 0

2 years ago

Read 2 more answers