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Lina20 [59]
3 years ago
10

i Illustrative Mathematid Kendall Hu Ant Trek The distance between Los Angeles and New York City is about 3,944 km. An ant can r

un about 18 mm per second. How long would it take an ant to run from Los Angeles to New York City?​
Mathematics
1 answer:
maw [93]3 years ago
3 0
You have to multiply all of them together and then get your answer
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3 (5x + 7) = 75<br><br> what is x?
iren [92.7K]
5x divided by 5
18 divided by 5
X= 18/5 or 3.6
7 0
3 years ago
Sin(x) + sin(3x) = 4 sin(x) cos^2(x)<br> Prove the identity.
salantis [7]

\bf \textit{Sum to Product Identities} \\\\ sin(\alpha)+sin(\beta)=2sin\left(\cfrac{\alpha+\beta}{2}\right)cos\left(\cfrac{\alpha-\beta}{2}\right)\leftarrow \textit{we'll use this one} \\\\\\ sin(\alpha)-sin(\beta)=2cos\left(\cfrac{\alpha+\beta}{2}\right)sin\left(\cfrac{\alpha-\beta}{2}\right) \\\\\\ \stackrel{\textit{symmetry identity}}{cos(-\theta )=cos(\theta )} \\\\[-0.35em] \rule{34em}{0.25pt}

\bf sin(x)+sin(3x)=\underline{4sin(x)cos^2(x)} \\\\[-0.35em] ~\dotfill\\\\ sin(x)+sin(3x)\implies 2sin\left( \cfrac{x+3x}{2} \right)cos\left( \cfrac{x-3x}{2} \right) \\\\\\ 2sin\left( \cfrac{4x}{2} \right)cos\left( \cfrac{-2x}{2} \right)\implies 2sin(2x)cos(-x)\implies 2\boxed{sin(2x)} cos(x) \\\\\\ 2\boxed{2sin(x)cos(x)} cos(x)\implies \underline{4sin(x)cos^2(x)}

6 0
4 years ago
Mel's Furniture received an invoice dated September 27 for 5 bedroom sets at $3,000 each. The invoice indicated a chain discount
LenKa [72]

Answer: $12,916.70

Step-by-step explanation:

Given the following:

Invoice received :

Bedroom set = 5

Cost per set = $3,000

Chain discount = 5/8/3

Freight cost = $200

If Mel pays within the discount period:

Chain discount given = 5/8/3

Therefore, net equivalent price rate equals:

(1 - 0.05) × (1 - 0.08) × (1 - 0.03) =

0.95 × 0.92 × 0.97 = 0.84778

Net price = total cost × 0.84778

($3000 × 5) × 0.84778

$15000 × 0.84778 = $12,716.7

Net equivalent price + FOB Shipping

$12,716.7 + $200 = $12,916.70

5 0
4 years ago
Write an equation for a circle with center at (–9, 5) and diameter = 24.
motikmotik
The formula for a circle is (x-h)^2 + (y-k)^2 = r^2 where h is x-value and k is the y-value of the center.

If diameter is 24, the radius is 12

(x + 9)^2 + (y - 5)^2 = 144
7 0
4 years ago
Can you answer it pls and by the way i am in 5th grade
timofeeve [1]

Step-by-step explanation:

3×3 = 9, so it's greater than 3

3×4/3 = 4, so it's greater than 3

3×5/5 = 3, so it's equal to 3

3x4/9 = 4/3, so it's less than 3

3x5/6 = 5/2, so it's less than 3

4 0
2 years ago
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