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3 years ago

Which of the following expressions are equivalent to 3(4h + 2k) ?

Mathematics

2 answers:

Nata [24]3 years ago

7 0

D. 12 H +6k

here’s why

3(4h+2k)
*distribute the 3 to both the 4 and the 2 so
3(4) = 12 so 12 H
3(2) = 6 so 6 K

nordsb [41]3 years ago

3 0

Answer:

B, C, and D are all equivalent to 3(4h+2k)

Step-by-step explanation:

We use the distributive property to say 3(4h+2k)=12h+6k

"A" distributes to 12k+6h

"B" distributes to 12h+6k

"C" distributes to 6k+12h (associative property works)

"D" is already distributed to 12h+6k

So A is wrong, and B, C, and D are right

Hope this made sense!

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9a + 18c. What is the value of the expression when a = −5 and c = −1?

saw5 [17]

1. plug in the numbers for the variables, like this: 9(-5)+18(-1)

2. solve
Hopefully this helps! Let me know if you need more explanation.

4 0

3 years ago

a survey of lobster fishermen found that they catch an average of 32 pounds of lobster per day with a standard deviation of 4 po

icang [17]

There is a probability of 22.66% that their average catch is less than 31.5 pounds

<h3>What is z score?</h3>

The z score is used to determine by how many standard deviations the raw score is above or belaw the mean. It is given by:

z = (raw score - mean)/ (standard deviation ÷ √sample)

Given that, mean = 32, std = 4, sample = 36, hence:

For 31.5:

z = (31.5 - 32) / (4 ÷√36) = -0.75

P(z < -0.75) = 0.2266

There is a probability of 22.66% that their average catch is less than 31.5 pounds

Find out more on z score at: brainly.com/question/25638875

4 0

2 years ago

How many solutions does the following equation have ?

Sergio [31]

Answer:<em>Exactly one solution.</em>

Step-by-step explanation:

- 32 +9 – 2x = -12 – 5x

1.Add numbers

-23 - 2x= -12-5x

2.Rearrange terms

-2x - 23 = -12 - 5x

3. Rearrange terms

-2x - 23 = -5x-12

4. Add 23 to both sides of the equation

-2x-23+23= -5x-12+23

5.Simplify

-2x= -5x+11

6.Add 5x to both sides of the equation

-2x+5x=-5x+11+5x

7.Simplify

3x=11

8.Divide both sides of the equation by the same factor

$\frac{3x}{3}$ = $\frac{11}{3}$

9.Simplify and Solution

x= $\frac{11}{3}$

5 0

3 years ago

Find the degree of -5w cubed - 4w squared + 7w + 16

natka813 [3]

Answer:

Step-by-step explanation:

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4 years ago

A fly is standing on a boulder, which is rolling down a hill. The forward torque the fly exerts on the boulder when it has rolle

bulgar [2K]

Question:

A fly is standing on a boulder which is rolling down a hill. The forward torque the fly exerts on the boulder when it has rolled 'x' meters, in Newton meters is given by

$\tau(x) = \dfrac{2}{1,000} \cdot sin \left(\dfrac{2 \cdot \pi \cdot (x + 0.2)}{4} \right )$

Answer:

y = 0

Step-by-step explanation:

The general form of the sine function is presented as follows;

y = A·sin[B·(x - C)] + D

Where;

A = The amplitude

C = The horizontal shift

D = The vertical shift above the generic midline of y = 0 = Constant

By comparison with the general equation for torque, we have that the constant D = 0, therefore, the vertical shift = 0, and the midline of the the given function = The midline of the generic sine function which is y = 0.

5 0

3 years ago