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Blizzard [7]
2 years ago
7

Twice the sum of a number and six decreased by fifteen is the same as eighteen more than the product of five and the number. Fin

d the number.
Mathematics
1 answer:
Arlecino [84]2 years ago
4 0

Answer:

-9

Step-by-step explanation:

2(n+6) -15 = 5n+18

2n + 12 - 15 = 5n + 18

2n - 3 = 5n + 18

2n = 5n + 21

-3n = 21

n = -9

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Find the angle of least nonnegative​ measure, θC​, that is coterminal with θ=<br> 9π/4.
Lostsunrise [7]

9514 1404 393

Answer:

  θC = π/4

Step-by-step explanation:

To find the desired angle, subtract multiplies of 2π until the angle is in the desired range.

  9π/4 -2π = (9-8)π/4 = π/4

The angle θC = π/4 is coterminal with θ = 9π/4.

8 0
2 years ago
Please help me thank you so much. Just not sure of my answers
Sedaia [141]

Answer:

An interesting experiment is given. We need to address various questions based on our knowledge of calculus.

Step 2

Part (a)

Time taken for the radius to grow to 2 cm = t1 = r/0.5 = 2/0.5 = 4 hours

Time taken for the radius to become 0 = t2 and the same can be obtained by solving:

r = 2 - √t2 = 0

Hence, t2 = 22 = 4 hours

Hence, the time duration of the entire experiment (from the introduction of the bacteria until its disappearance) = t1 + t2 = 4 + 4 = 8 hours

Step 3

Part (b)

r(t) = 0.5t for 0 ≤ t ≤ 4

and

r(t) = 2 - √(t - 4) for t > 2

Step-by-step explanation:

7 0
3 years ago
Bob made 4 1/4 pounds of fruit salad. He added 10 ounces of pineapple. How many 6-ounce servings did Bob make?
rosijanka [135]

Answer:

13 or B

Step-by-step explanation:

1 pound=16 oz

4 1/4=4.25, 4.25*16=68

68+10=78

78/6=13

6 0
3 years ago
Read 2 more answers
A sample of 50 impossible whoppersandwiches have a mean fat content of 37.6g and standard deviation of 4.9g . A sample of 58 reg
cluponka [151]

Answer:

Step-by-step explanation:

H0: μ1____ μ2For Q17(circle one: equal to, <u>less than or equal to</u>, greater than or equal to, not equal to )

H1 : μ1____ μ2For Q18(circle one: equal to, less than, <u>greater than</u>, not equal to )

Formula for calculating the the test:

t = [ (x₁ - x₂) - d ] / sqrt[(s₁²/n₁) + (s₂²/n₂)]

where x₁ = 37.6, x₂ = 39.3, d = 0 assuming equality = 37.6 - 39.3 = -1.7

s₁² = 4.92 = 24.01, s₂² = 2.72 = 7.29, n₁ = 50, n₂ = 58.

thus, t = [ (-1.7) - (0)] / √(24.01/50) + (7.29/58)

    t = (-1.7) / (0.4802 + 0.1257)

   t = -1.7 / 0.6059

   t = -2.8057. = -2.81

P value:

Lets find the degree of freedom:

DF = (s₁²/n₁ + s₂²/n₂)² / { [ (s₁² / n₁)² / (n₁ - 1) ] + [ (s₂² / n₂)² / (n₂ - 1) ] }

DF = (24.01/50 + 7.29/58)² / {[(24.01 / 50)² / 50-1)] + (7.29/58)² / 58-1)]}

DF = (0.4802 + 0.1257)² /{[ (0.4802)²/49] + (0.1257)²/57)]}

DF = (0.6059)²/ (0.00471 + 0.00028)

DF = 0.3671 / 0.00499 = 75.37

Thus, P value = 0.9968 using a t distribution calculator.

Decision/Conclusion: Since the P value 0.9968 is greater than α (.05), Fail to Reject H0, There is not sufficient evidence to warrant the rejection of the claim.

4 0
2 years ago
Question 3 0.6 pts The following two right triangles are similar.If side CB = 33. side AB = 12, and side DE - 4. what is the len
Leno4ka [110]

Answer:

EF = 11

Step-by-step explanation:

AD/DE = 3

Therefore, DC/3 = EF

33/3 = 11

8 0
3 years ago
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