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mr_godi [17]
3 years ago
8

For the expression, which of the following is the coefficient of the term involving the variable x^3/2 + 4y + 5z²

Mathematics
1 answer:
GarryVolchara [31]3 years ago
5 0

Answer:

½

Step-by-step explanation:

A coefficient is any number that comes before a variable and is multiplies that variable.

In the equation given, the term involving the variable x is x³/2. Therefore, the coefficient of x³/2 would be ½.

i.e. ½ × x³

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One batch makes 15 lemon bars and Josh ate 2. If Claire ate twice as many as him, how many lemon bars would be left from the bat
Diano4ka-milaya [45]

Answer:

There are 9 lemon bars left from the batch.

Step-by-step explanation:

One batch = 15 lemon bars

Josh: ate 2 lemon bars

15 - 2 = 13

13 lemon bars remaining.

Claire: ate twice as many as Josh

Meaning: 2 × 2 = 4

13 - 4 = 9

9 lemon bars remaining.

There are 9 lemon bars left from the batch.

5 0
3 years ago
The plot below represents the function f(2):
Vinil7 [7]

Answer:

f(4) = 3

x = -1

Step-by-step explanation:

Line graphed shows a linear function.

Since this line passes through two points (4, 3) and (-1, 4)

Let the function is,

f(x) = mx + b

where 'm' = slope of the line

b = y-intercept of the line

Slope 'm' = \frac{y_2-y_1}{x_2-x_1}

               = \frac{4-3}{-1-4}

               = -\frac{1}{5}

f(x) = -\frac{1}{5}x+b

Since a point (4, 3) lies on the line,

f(4) = -\frac{1}{5}(4)+b

3 = -\frac{4}{5}+b

b = 3 + 0.8

b = 3.8

Therefore, f(x) = -0.2x + 3.8

For x = 4

f(4) = -0.2(4) + 3.8    

     = -0.8 + 3.8

     = 3.0

For f(x) = 4

4 = -0.2x + 3.8

0.2x = 3.8 - 4

x = \frac{-0.2}{0.2}

x = -1

5 0
3 years ago
Read 2 more answers
Jorge has saved $15.50. Janet saved 1/5 of the amount that Jorge saved. Rob saved 12 times as much of Janet. What is the total s
KiRa [710]

Answer:

$55.80

Step-by-step explanation:

First, find how much Janet saved by finding 1/5 of 15.50:

15.50/5

= 3.1

Find how much Rob saved by multiplying 3.1 by 12:

3.1(12)

= 37.2

Then, find the total saved amount by adding them all together:

15.50 + 3.1 + 37.2

= 55.8

So, they saved $55.80 in total

8 0
3 years ago
Mrs. Yamaguchi's class weighed the potatoes that they grew in their garden and recorded the data in a table. What are the least
Otrada [13]

Answer: 1/8 has 1, 1/4 has 2, 3/8 has 3, 1/2 has 4, 5/8 has 2, and 3/4 has 3.

Step-by-step explanation:

You basically just count how many of them there are in the weight of potatoes box!

6 0
3 years ago
Speeds of pulleys are inversely proportional to the length of their diameter. Diameter of pulley A is 20 cm. and diameter of pul
Natali [406]

Answer:

174 rpm

Step-by-step explanation:

The question says that the speed is inversely proportional to the length. Thus, Inverse means, as the diameter increases, the speed reduces, or as the diameter reduces, the speed increases.

Thus, from the question, if diameter A is 20, and B is 10, then definitely, the speed will increase from 348 to a higher rate. Mathematically, we have

20 / 10 = 348 / x, where x is the missing speed.

2 = 348 / x

x = 348 / 2

x = 174 rpm

Therefore, the pulley A must have been running at a speed of 174 rpm

6 0
3 years ago
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