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3 years ago

13

There are two square roots of 25

1 answer:

kondaur [170]3 years ago

5 0

Answer:

25 and 100

Step-by-step explanation:

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Five less than the product of 3 and a number of 40 . Write in an equation

vagabundo [1.1K]

Answer:

I don't get the "number of 40" part, but here's my best shot!

3(40x)-5

Step-by-step explanation:

4 0

2 years ago

Read 2 more answers

Two cards are drawn from a standard deck without replacement. What is the probability that the first card is a spade and the sec

Verizon [17]

Answer:

The answer is 0.123.

Step-by-step explanation:

You want to find the intersection between P(Spade) and P(Red). Knowing that there's no replacement, the probability will be given by the formula:

⇒ P(Spade∩Red) = P(Spade)*P(Red/Spade)

⇒ P(Spade∩Red) = P(Red)*P(Spade/Red)

Either formula works, but I'm going to choose to work with the first formula.

Therefore:

P(Spade) = $\frac{13}{52}$

P(Red/Spade) = $\frac{26}{52-1}$

So:

P(Spade∩Red) = $\frac{13}{52}$ * $\frac{26}{51}$ = $\frac{13}{102}$ = $0.123$

3 0

2 years ago

Use the alternative form of the dot product to find u · v.

vodka [1.7K]

Answer:

Step-by-step explanation:

u = 45

v = 30

Angle between them, θ = 5π / 6 = 150°

(a) The formula for the dot product is given by

$\overrightarrow{u}.\overrightarrow{v}= u v Cos\theta$

$\overrightarrow{u}.\overrightarrow{v}= 45 \times 30 \times Cos150$

$\overrightarrow{u}.\overrightarrow{v}= -1169.13$

(b) $\overrightarrow{u}=Cos\frac{\pi }{3}\widehat{i}+Sin\frac{\pi }{3}\widehat{j}$

$\overrightarrow{u}=0.5\widehat{i}+0.866\widehat{j}$

$\overrightarrow{v}=Cos\frac{2\pi }{3}\widehat{i}+Sin\frac{2\pi }{3}\widehat{j}$

$\overrightarrow{v}=-0.707\widehat{i}+0.707\widehat{j}$

Let the angle between them is θ

The formula in terms of the dot product is given by

$Cos\theta =\frac{\overrightarrow{u}.\overrightarrow{v}}{u v}$

$u=\sqrt{0.5^{2}+0.866^{2}}=1$

$v=\sqrt{-0.707^{2}+0.707^{2}}=1$

$Cos\theta =\frac{0.5 \times (-0.707) + 0.866 \times 0.707)}{1\times 1}$

$Cos\theta=0.2587$

θ = 75°

(c) $\overrightarrow{u}=1\widehat{i}+4\widehat{j}+8\widehat{k}$

$u=\sqrt{1^{2}+4^{2}+8^{2}}=9$

$Cos\alpha =\frac{1}{9}$

$Cos\beta =\frac{4}{9}$

$Cos\gamma =\frac{8}{9}$

7 0

3 years ago

Felix earns $1,400 a month. His cell phone represents 5% of his income. How much is his cell phone cost each month?

solong [7]

I believe is 70 multiply 1400 times 5% and it will give you 70

4 0

3 years ago

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I need help ASAP!!! (please look at the image and explain how you got the answer, please and thanks)

egoroff_w [7]

Answer:

114

Step-by-step explanation:

so lets call shelf 1 x

shelf 2 is twice size + 18 of shelf 1 so it is 2(x)+18

shelf 3 is 12 less than shelf 1 so x-12

shelf 4 is four more so x+4

Add them all together and it should be 5x+10= 2.5 m or 250 cm

Solve for x using cm

then plug into shelf 2 equation

8 0

2 years ago