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Lubov Fominskaja [6]
4 years ago
15

Lauren jogs at a rate of 2 miles every 2/5 hour what is her unit rate ?

Mathematics
1 answer:
lawyer [7]4 years ago
7 0
Her unit rate is C, 5 mi/h
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The vertex of y=x^2+12x+32
ollegr [7]

Answer:

The vertex is y=-4

Step-by-step explanation:

The vertex is the minimum point of the graph of the quadratic equation.

Let's first find the like of symmetry.

dy/dx=2x+12

2x+12=0

2x=-12

x=-6

Now plug -6 into the quadratic equation

y=(-6)²+12(-6)+32

y=-4

7 0
3 years ago
The diameters of bolts produced in a machine shop are normally distributed with a mean of 5.8 millimeters and a standard deviati
atroni [7]

Answer:

5.70 < X < 5.89

Step-by-step explanation:

Z = ±1.40507156

z = (x - μ)/σ

1.40507156 = (x - 5.8)/.07

5.70 < X < 5.89

4 0
3 years ago
4
jeka57 [31]

Answer:

<h2>          5</h2>

Step-by-step explanation:

d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}\\\\(-5,1)\quad\implies\quad x_1=-5\,,\ \ y_1=1\\\\(-1,4)\quad\implies\quad x_2=-1\,,\ \ y_2=4\\\\d=\sqrt{(-1+5)^2+(4-1)^2}= \sqrt{4^2+3^2}=\sqrt{16+9}=\sqrt{25}=5

4 0
3 years ago
A local movie theater sells two bag sizes of popcorn. Both bags are in the shape of a rectangular prism. Bag A measures 4" long,
Natali5045456 [20]

Answer:

the height of bag b is 7

Step-by-step explanation:

first, find the volume of bag a.

volume formula:

length * width * height = volume

length = 4

width = 3.5

height = 6

substitute the values into the formula

4 * 3.5 * 6 = volume

84 = volume

the volume of bag A is 84

next, find the height of bag b

volume formula:

length * width * height.

length = 8

width = 3

volume = 168 (84 * 2)

8 * 3 * h = 168

24h = 168

24h/24 = 168/24

h = 168/24

h = 7

the height of bag B is 7

8 0
3 years ago
3. Explain why the polynomial 34 + 5x3 - 7x2 + 3x has a degree 3 and not 4.​
Pepsi [2]
2x6 + 4x5 + x4 + 11x3 + 2x2 + 4x + 4
7 0
3 years ago
Read 2 more answers
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