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2 years ago

Determine whether each conjecture is true or false given: n is a real number

1 answer:

8 0

For the conjecture to be true, the square of all real numbers must be positive or zero.
The square of all negative and positive numbers is positive, and the square of zero is zero, so the conjecture is true.

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What is the LCM of 12,30 and 42

Hoochie [10]

Answer:

420

Step-by-step explanation:

We can find the prime factors of each of the numbers first before finding their LCM.

12: 2 × 2 × 3

30: 2 × 3 × 5

42: 2 × 3 × 7

To find the LCM, we need to see if they are any common prime factors between all three numbers. The common prime factors are 2 and 3. Then, we multiply 2 and 3 with the remaining outstanding factors, which are 2, 5, and 7.

LCM: 2 × 2 × 3 × 5 × 7 = 420

7 0

2 years ago

Read 2 more answers

I need help on these questions please

Paraphin [41]

Answer:

Step-by-step explanation:

1). In ΔABC,

For angle A as a reference angle,

Opposite side of ∠A → BC

Adjacent side of ∠A → AC

Hypotenuse → AB

2). By using tangent ratio in ΔYWZ,

tan(72°) = $\frac{\text{Opposite side}}{\text{Adjacent side}}$

tan(72°) = $\frac{12}{x}$

x = $\frac{12}{\text{tan}(72)}$

x = 3.899

x ≈ 3.9

3). By using sine rule in ΔKNM,

tan(x°) = $\frac{\text{Opposite side}}{\text{Hypotenuse}}$

tan(x) = $\frac{20}{58}$

x = $\text{tan}^{-1}(\frac{20}{58} )$

x = 19.03

x ≈ 19.0°

4). By applying cosine ratio in ΔJKF,

tan(70°) = $\frac{\text{Opposite side}}{\text{Adjacent side}}$

tan(70) = $\frac{60}{x}$

x = $\frac{60}{\text{tan}(70)}$

x = 21.838

x ≈ 21.8

7 0

2 years ago

Write a story problem for the addition sentence 7 +__=9.solve the story problem.

leva [86]

Katelan has 9 friends as guests for a costume party. Katelan is elaborating carnival masks for them. So far , she has made 7 masks. How much more masks is Katelan left to do?

Answer: Katelan has 2 masks left to do . Because 7 (plus) 2 is 9.

6 0

3 years ago

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An=−2+32(n−1) What is the 21st term of the sequence?

OLEGan [10]

Answer:

a₂₁ = 638

Step-by-step explanation:

substitute n = 21 into the explicit formula

a₂₁ = - 2 + 32(21 - 1) = - 2 + 32(20) = - 2 + 640 = 638

5 0

1 year ago

A flea treatment last 4 weeks. Jim's dog had to be treated every 3 weeks. How many weeks of flea treatment would Jim's dog get i

Reptile [31]

Answer:

Number of weeks in a year = 52 weeks

If in a normal year when each package of flea treatment lasts for 4 weeks, then in a year there Jim's dog will have to be treated for

Where as, when the fleas are bad in a year, the treatment lasts for only 3 weeks.

Then in a year Jim's dog would get

So Jim's dog will get 17- 13 =4 treatments more.

4 treatments that are made in 3 weeks each will be 4×3 =12 weeks more treatment

6 0

3 years ago