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stiv31 [10]
3 years ago
5

Which expression is equivalent to 14m + 4 + 3m – 3 – 2m?​

Mathematics
1 answer:
sasho [114]3 years ago
6 0

Answer:

14m +4+3m-3-2m

14m+3m-2m+4-3

15m+1

Step-by-step explanation:

this is equivalent

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What is 8 times -8/9
LuckyWell [14K]

When you multiply a whole number by a fraction, multiply the whole number by the numerator ( top number) and then divide by the denominator (bottom number).

8 x -8/9 = (8 *-8)/9 = -64/9 = -7 1/9 = -7.1

5 0
3 years ago
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A particle is projected with a velocity of <img src="https://tex.z-dn.net/?f=40ms%5E-%5E1" id="TexFormula1" title="40ms^-^1" alt
Katena32 [7]

Answer:

2\sqrt{55}\text{ m/s or }\approx 14.8\text{m/s}

Step-by-step explanation:

The vertical component of the initial launch can be found using basic trigonometry. In any right triangle, the sine of an angle is equal to its opposite side divided by the hypotenuse. Let the vertical component at launch be y. The magnitude of 40\text{ m/s} will be the hypotenuse, and the relevant angle is the angle to the horizontal at launch. Since we're given that the angle of elevation is 60^{\circ}, we have:

\sin 60^{\circ}=\frac{y}{40},\\y=40\sin 60^{\circ},\\y=20\sqrt{3}(Recall that \sin 60^{\circ}=\frac{\sqrt{3}}{2})

Now that we've found the vertical component of the velocity and launch, we can use kinematics equation v_f^2=v_i^2+2a\Delta y to solve this problem, where v_f/v_i is final and initial velocity, respectively, a is acceleration, and \Delta y is distance travelled. The only acceleration is acceleration due to gravity, which is approximately 9.8\:\mathrm{m/s^2}. However, since the projectile is moving up and gravity is pulling down, acceleration should be negative, represent the direction of the acceleration.

What we know:

  • v_i=20\sqrt{3}\text{ m/s}
  • a=-9.8\:\mathrm{m/s^2}
  • \Delta y =50\text{ m}

Solving for v_f:

v_f^2=(20\sqrt{3})^2+2(-9.8)(50),\\v_f^2=1200-980,\\v_f^2=220,\\v_f=\sqrt{220}=\boxed{2\sqrt{55}\text{ m/s}}

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3 years ago
What is the greatest common divisor of 8, 16, and 24?
bezimeni [28]
The greatest common divisor is 8
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3 years ago
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Find the equation of the line through point (3,2) and perpendicular to 3x + 5y = 15
Vesnalui [34]

Answer:

y=5/3x-3

Step-by-step explanation:

first, let's put 3x+5y=15 into y=mx+b form

move 3x to the other side

5y=-3x+15

divide by 5

y=-3/5x+3

now, perendicular lines have slopes that are negative and reciprocal.

With our new equation we can automatically find the slope, which would be 5/3.

now, we need to find b

plug the points (3,2) into y=5/3x+b

2=5/3(3)+b

2=5+b

-3=b

so that means that our equation will now be

y=5/3x-3.

Hope this helps!

6 0
3 years ago
S.V.P URGENT! Mégane à payé 345$ pour un iPod avec des taxes de 14.975% et un rabais de 5%. Quel est le prix régulier ( problème
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Answer:

6383.08

Step-by-step explanation:

J'ai dû utiliser google translate, mais j'espère que cela vous aidera.

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