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2 years ago

What is 4×7×7×10- 5 in exponential form

Mathematics

1 answer:

liraira [26]2 years ago

7 0

The answer is 977 seconds squared

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Try to sketch by hand the curve of intersection of the parabolic cylinder y = x2 and the top half of the ellipsoid x2 + 7y2 + 7z

vovikov84 [41]

Plug $y=x^2$ into the equation of the ellipsoid:

$x^2+7(x^2)^2+7z^2=49$

Complete the square:

$7x^4+x^2=7\left(x^4+\dfrac{x^2}7+\dfrac1{14^2}-\dfrac1{14^2}\right)=7\left(x^2+\dfrac1{14}\right)^2+\dfrac1{28}$

Then the intersection is such that

$7\left(x^2+\dfrac1{14}\right)^2+7z^2=\dfrac{1371}{28}$

$\left(x^2+\dfrac1{14}\right)^2+z^2=\dfrac{1371}{196}$

which resembles the equation of a circle, and suggests a parameterization is polar-like coordinates. Let

$x(t)^2+\dfrac1{14}=\sqrt{\dfrac{1371}{196}}\cos t\implies x(t)=\pm\sqrt{\sqrt{\dfrac{1371}{196}}\cos t-\dfrac1{14}}$

$y(t)=x(t)^2=\sqrt{\dfrac{1371}{196}}\cos t-\dfrac1{14}$

$z=\sqrt{\dfrac{1371}{196}}\sin t$

(Attached is a plot of the two surfaces and the intersection; red for the positive root $x(t)$ , blue for the negative)

4 0

2 years ago

In 1997 there were 31 laptop computers at grove high school. starting in 1998 the school bought 20 more laptop computers at the

Ksenya-84 [330]

We have equation:
t=20x+31
x is number of years after 1997.

To calculate number of laptops in 2005:
x=2005-1997
x=8

t=20*8+31
t=160+31
t=191

In year 2005 school had 191 laptops.

7 0

2 years ago

The present oge of a :b are in ratio 5: 6 three year ago , thier age were in the ratio 4:5 find there present age .

bezimeni [28]

Answer:

Their present age are 15 and 18

Step-by-step explanation:

a : b = 5 : 6

$\frac{a}{b} = \frac{5}{6} \\\\6a = 5b\\\\a = \frac{5b}{6} \\\\\frac{a-3}{b-3} = \frac{4}{5} \\\\5(a-3) = 4(b-3)\\\\5a - 15= 4b - 12\\\\5a - 4b = 15 - 12\\\\5a - 4b = 3\\\\substitute \ the \ value \ of \ a \ into \ the \ above \ equation;\\\\5(\frac{5b}{6} ) - 4b = 3\\\\25b - 24b = 18\\\\b = 18\\\\now, \ solve \ for \ a;\\\\a = \frac{5}{6} \times 18\\\\a = 15$

4 0

2 years ago

What x value sloves the equation . <br> 3x-5=1

djyliett [7]

3x-5=1
+5 +5
3x=6
3 3
X= 2

8 0

2 years ago

The scatter plot shows which type of correlation?

andre [41]

Answer:

negative correlation

Step-by-step explanation:

because it starts from the y axis

8 0

2 years ago