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3 years ago

47 x 10^6 x 78 x 10^-3 in scientific notation

Mathematics

1 answer:

irinina [24]3 years ago

8 0

4.2 x 10^-3 is the answer

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The results of a survey indicate that between 76% and 84% of the season ticket holders are satisfied with their seat locations.

miskamm [114]

Answer:

±4

Step-by-step explanation:

The margin of error in a confidence interval is half the range:

(84 - 76) / 2 = 4

So the margin of error is ±4.

8 0

3 years ago

Select the two values of x that are roots of this equation. 2x+11x+15= 0

Amiraneli [1.4K]

Answer:

The roots of the equation are x=-3 and x=-2.5

Step-by-step explanation:

The correct quadratic equation is

2x^2+11x+15=0

we know that

The formula to solve a quadratic equation of the form

$ax^{2} +bx+c=0$ is equal to

$x=\frac{-b(+/-)\sqrt{b^{2}-4ac}} {2a}$

in this problem we have

$2x^{2} +11x+15=0$

$a=2\\b=11\\c=15$

substitute in the formula

$x=\frac{-11(+/-)\sqrt{11^{2}-4(2)(15)}} {2(2)}$

$x=\frac{-11(+/-)\sqrt{121-120}} {4}$

$x=\frac{-11(+/-)\sqrt{1}} {4}$

$x=\frac{-11(+/-)1} {4}$

$x_1=\frac{-11(+)1}{4}=-2.5$

$x_2=\frac{-11(-)1}{4}=-3$

therefore

The roots of the equation are x=-3 and x=-2.5

5 0

2 years ago

What is 0.98 as fraction

Montano1993 [528]

0.98 as a unsimplified fraction would be 98/100. The simplified fraction would be 49/50 hope this helped

6 0

2 years ago

Write the equation of the circle in standard form: Center (7,0) R=1

Mice21 [21]

Answer:

$(x-7)^2+y^2=1$

Step-by-step explanation:

Hi there!

Equation of a circle: $(x-h)^2+(y-k)^2=r^2$ where the circle is centered at (h,k) and the radius is r

1) Plug in the given center (7,0)

$(x-7)^2+(y-0)^2=r^2\\(x-7)^2+y^2=r^2$

2) Plug in the radius (1)

$(x-7)^2+y^2=1^2\\(x-7)^2+y^2=1$

I hope this helps!

8 0

2 years ago

A person places $262 in an investment account earning an annual rate of 3.7%,

yaroslaw [1]

Answer:

$315.24

Step-by-step explanation:

Principal, P =$262

Rate, r= 3.7% =0.037

Time, t= 5 Years

The Value of the Investment which is compounded continuously is gotten using the formula:

$V=Pe^{rt}\\=262*e^{0,037*5}\\=\$315.24$

The value of the investment after 5 years is $315.24 to the nearest cent.

3 0

2 years ago