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EastWind [94]
2 years ago
15

Determining Prime factorization of 20

Mathematics
2 answers:
Elden [556K]2 years ago
5 0
The number 20 is not a prime number.
natka813 [3]2 years ago
3 0
The number 20 is not a prime number so...
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Answer this asap also show work c;;
Oduvanchick [21]

Answer:

D. Expression for Nick's distance from starting point= 6+(-4)+2

Step-by-step explanation:

Finding expression for each scenario:

A.

Number of boxes processed on on Monday =6 boxes

Number of boxes processed on on Tuesday =4 boxes

Number of boxes processed on on Wednesday =2 boxes

Expression for total boxes processed on these 3 days = 6+4+2

B.

Temperature of Suma's city at noon = 6°C

Temperature of Suma's city at 8pm = 4°C

Temperature of Suma's city at noon next day =  2°F

Total temperature change = cannot be determined as all measurements are not in same units.

C

Money put on Monday = $6

Money put in Wednesday =$4

Money withdrew on Saturday = $2

Expression for balance of Re'onna's piggy bank = 6+4-2

D

Distance ran north =6 miles

Distance ran south(back) = 4 miles

Distance  ran north again = 2 miles

Expression for Nick's distance from starting point= 6+(-4)+2

5 0
2 years ago
Two streets bounding your triangular lot make an angle of 74∘. The lengths of the two sides of the lot on these streets are 126
ycow [4]

Answer: a) Yes, there is enough fance

b) 58.1° and 47.9°

c) The city will not approve, because 1/3 of the area is just 2220.5ft²

Step-by-step explanation:

a) using law of cosines: x is the side we do not know.

x² = 126² + 110² - 2.126.110.cos74°

x² = 20335.3

x = 142.6 ft

So 150 > 142.6, there is enough fance

b) using law of sine:

sin 74/ 142.6 = sinα/126 = sinβ/110

sin 74/ 142.6 = sinα/126

0.006741 = sinα/126

sinα = 0.849

α = sin⁻¹(0.849)

α = 58.1°

sin 74/ 142.6 = sinβ/110

sin 74/ 142.6 = sinβ/110

0.006741 = sinβ/110

sinβ = 0.741

β = sin⁻¹(0.741)

β = 47.9°

Checking: 74+58.1+47.9 = 180° ok

c) Using Heron A² = p(p-a)(p-b)(p-c)

p = a+b+c/2

p=126+110+142.6/2

p=189.3

A² = 189.3(189.3-126)(189.3-110)(189.3-142.6)

A = 6661.5 ft²

1/3 A = 2220.5

So 2300 >  2220.5. The area you want to build is bigger than the area available.

The city will not approve

7 0
3 years ago
Add: (g2 – 4g4 + 5g + 9) + (–3g3 + 3g2 – 6)
TiliK225 [7]
Group like terms

-4g^4 - 3g^3 + g^2 + 3g^2 + 5g + 9 - 6

combining like terms:-

= -4g^4 - 3g^3 + 4g^2 + 5g + 3
7 0
3 years ago
Read 3 more answers
A plan shows a length 3cm. If the scale is 2cm:5m-what is the actual length?
posledela

Answer:

7.5m

Step-by-step explanation:

1cm:2.5m

3cm:7.5m

8 0
3 years ago
Show that the equation x^3+6x-5=0 has a solution between x=0 and x=1
Mnenie [13.5K]

Answer:

Since the value of f(0) is negative and the value of f(1) is positive, then there is at least one value of x between 0 and 1 for which f(x) =0.

Step-by-step explanation:

The equation f(x) given is:

f(x) = x^3+6x-5

For x = 0. the value of the expression is:

f(0) = 0^3+0-5\\f(0) = -5

For x = 1, the value of the expression is:

f(1) = 1^3+6-5\\f(1)=2

Since the value of f(0) is negative and the value of f(1) is positive, then there is at least one value of x between 0 and 1 for which f(x) =0.

In other words, there is at least one solution for the equation between x=0 and x=1.

6 0
2 years ago
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