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2 years ago

Evaluate 8a - 1 + 0.5b when a= 1/4 and b=10.

Mathematics

1 answer:

nikitadnepr [17]2 years ago

6 0

Answer:

Step-by-step explanation:

Substitute 1/4 with 8a. 8/4=2

Next, Substitute 10 for 0.5. 10/2=5

Finally, find the sum

(2-1)+5

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Help me with mathhh?!!!!???

DedPeter [7]

Answer:

x = 1 1/4

Step-by-step explanation:

sqrt( 7x+2) = sqrt(3x+7)

Square each side

(sqrt( 7x+2))^2 = (sqrt(3x+7))^2

7x+2 = 3x+7

Subtract 3x from each side

7x-3x +2 = 3x+7-3x

4x+2 = 7

Subtract 2 from each side

4x+2-2 = 7-2

4x = 5

Divide by 4

4x/4 = 5/4

x = 1 1/4

Check for extraneous solution

sqrt( 7*5/4+2) = sqrt(3*5/4+7)

sqrt( 35/4 + 8/4) = sqrt(15/4+28/4)

sqrt( 43/4) = sqrt(43/4)

Solution is valid

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3 years ago

Initially a wheel rotating about a fixed axis at a constant angular deceleration of 0.5 rad/s 2 has an angular velocity of 0 rad

Zigmanuir [339]

Answer:

$\theta = 5.83\ rad$

Step-by-step explanation:

given,

angular deceleration, α = -0.5 rad/s²

final angular velocity,ω_f = 0 rad/s

angular position, θ = 6.1 rad

angular position at 3.9 s = ?

now, Calculating the initial angular speed

$\omega_f^2 = \omega_i^2 + 2 \alpha \theta$

$0 = \omega_i^2 - 2\times 0.5\times 6.1$

$\omega_i = \sqrt{6.1}$

$\omega_i = 2.47\ rad/s$

now, angular position calculation at t=3.9 s

$\theta = \omega_i t + \dfrac{1}{2}\alpha t^2$

$\theta =2.47\times 3.9 - \dfrac{1}{2}\times 0.5\times 3.9^2$

$\theta = 5.83\ rad$

Hence, the angular position of the wheel after 3.9 s is equal to 5.83 rad.

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3 years ago

Photo and Video Sharing. Photos and videos have become an important part of the online social experience, with more than half of

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Answer: 0.923

Step-by-step explanation:

Let A be the event an Internet user posts photos that they have taken themselves, and B be the event an Internet user posts videos that they have taken themselves.

Pew Research Center finds that

P(A)=0.52 P(b)=0.26, and P(A or B)=0.54.

To find : P(A|B)

Since , $\text{P(A or B)=P(A+P(B)-P(A and B)}$

i.e. $\text{P(A and B)=P(A)+P(B)-P(A or B)}$

$\text{P(A and B)=}0.52+0.26-0.54=0.24$

Now, using conditional probability formula ,

$P(A|B)=\dfrac{\text{P(A and B)}}{\text{P(B)}}\\\\=\dfrac{0.24}{0.26}=0.923076923077\approx0.923$

Hence, the conditional probability that an Internet user posts photos that they have taken themselves, given that they post videos that they have taken themselves = 0.923

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4 years ago

How many 3/4 -centimeter cubes do you need to create a cube with an edge length of 12 centimeters?

zzz [600]

To make a LINE that is 12 cm long, you'd need (12 / .75) cubes or sixteen cubes.
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3 years ago

Becca has $500 to open a checking account. She wants an account with the lowest fees. She writes about 12 checks per month and h

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Answer:

Account B would be the best option

Step-by-step explanation:

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3 years ago

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