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Art [367]
3 years ago
6

Can I please get some help

Mathematics
1 answer:
Anika [276]3 years ago
3 0

Answer:

a. 6.93 b. 5 c. 6.72 d. 3.46

Step-by-step explanation:

a.  √4^2- 4(4)(-2)

      Evaluate the power

    √16-4×4(-2)

      Multiply

    √16-16(-2) = √16-(-32) = √16+32 Since 2 negatives equal a positive.

      Add

    √48

      Find square root

     √48= 6.92820323028-- rounded-- 6.93

b.   √1^2-4(1)(-6)

      Evaluate the power

     √1-4(1)(-6)

       Multiply

      √1-(-24) = √1+24 Since 2 negatives equal a positive.

       Add

       √25

       Find the square root

       √25=5

c.     √1^2-4(1)(-11)

       Evaluate the power

       √1-4(1)(-11)

       Multiply

       √1-(-44) = √1+44 Since 2 negative equal a positive.

       Add

       √45

       Find the square root

       √45= 6.7082039325-- rounded-- 6.72

d.     √6^2-4(3)(2)

        Evaluate the power

        √36-4(3)(2)

        Multiply

        √36-24

        Subtract

        √12

        Find the square root

        √12= 3.46410161514-- rounded-- 3.46

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Popcorn kernels pop independently (i.e. unimolecularly). For one brand at constant temperature, 12 kernels pop in 5 seconds when
likoan [24]

Answer:

no of kernels  pop = 4.34

Step-by-step explanation:

given data

kernels pop in 5 second  = 12

kernels are present = 235

solution

we get here kernels are pop at rate of here

kernels are pop at rate = 12  ÷  235  

kernels are pop at rate = 0.051063

and

we get here maximum kernels are remaining that is

maximum kernels remaining = 235 - 140

maximum kernels remaining = 85

so

no of kernels  pop in 5 second will be

no of kernels  pop = 0.051063   × 85

no of kernels  pop = 4.34

7 0
3 years ago
What is the equation for the line with a slope of - 2/3 that passes through (0, -2)
viktelen [127]

Answer:

y= -2/3x-2

Step-by-step explanation:

Since we have a point and a slope, we can use the point slope formula

y-y_{1} =m(x-x_{1})

m is the slope. In this case, m is -2/3

y1 is the y coordinate of the point. In this case, it is -2

x1 is the x coordinate. In this case it is 0.

We can substitute these values into the formula

y- -2= -2/3(x-0)

Distribute -2/3

y+2 = -2/3*x + -2/3*0

y+2= -2/3x+0

Subtract 2 from both sides. We want to get y by itself. This is because we want our line to be in y=mx+b form.

y+2-2= -2/3x+0-2

y= -2/3x -2

5 0
3 years ago
Triangle A B C is reflected and then dilated to form smaller triangle A double-prime B double-prime C double-prime Which transfo
Gnoma [55]

Answer:

a reflection and a dilation

Step-by-step explanation:

in the wording, it was stated that the triangle was reflected then dilated.

6 0
3 years ago
The sum of an integer and 6 times the next consecutive odd integer is 61. Find the
vfiekz [6]

If the sum of an integer and 6 times the next consecutive integer is 61, the the value of lesser integer is 7

Consider the first odd integer as x

Then the next consecutive odd integer = x+2

The 6 times the second integer=  6(x+2)

= 6x+12

Sum of an integer and 6 times the next consecutive odd integer is 61

Then the equation will be

x + 6x+12 = 61

Add the like terms in the equation

(1+6)x + 12 = 61

7x +12 = 61

Move 12 to the right hand side of the equation

7x = 61-12

7x = 49

x = 49/7

x = 7

The second number is

x+2 = 7+2

= 9

Hence, if the sum of an integer and 6 times the next consecutive integer is 61, the the value of lesser integer is 7

Learn more about equation here

brainly.com/question/28741857

#SPJ1

4 0
1 year ago
NEED HELP ASAP
MrRa [10]
(x-2)squared +y squared=20
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