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3 years ago

What is the $1000^{\rm th}$ positive integer with an odd number of digits?

1 answer:

6 0

9 numbers have one digit (1-9)
900 have three digits (100-999)
90000 have five digits (10000-99999)

Clearly the 1000th positive integer with an odd number of digits will have five digits. Since there are 909 integers with up to three digits, the 91st integer in the third range will be the one you want. That number is 10090.

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What is the other polynomial send help please

posledela

In mathematics, a polynomial is an expression consisting of variables (also called indeterminates) and coefficients, that involves only the operations of addition, subtraction, multiplication, and non-negative integer exponents of variables. An example of a polynomial of a single indeterminate x is x2 − 4x + 7.

6 0

3 years ago

A circle has a diameter with endpoints at (6, 5) and (8, 5). Write the equation for the circle.

mario62 [17]

Answer:

$(x-7)^2+(y-5)^2=1$

Step-by-step explanation:

The two things that are required to formulate the equation of the circle is the center coordinate and the radius of the circle!

Center of the circle:

The center of the circle always lies at the midpoint of the endpoints of its diameter: Let's call the endpoints A(6,5) and B(8,5).

Using the midpoint formula we'll get:

$(x_m, y_m) = \left(\dfrac{x_1+x_2}{2},\dfrac{y_1+y_2}{2}\right)$

$(x_m, y_m) = \left(\dfrac{6+8}{2},\dfrac{5+5}{2}\right)$

$(x_m, y_m) = (7,5)$

This is the center coordinate of our circle.

Radius:

The radius of the circle is the distance from the center of the circle to any of the endpoints of the diameter (A or B)

We can use the distance formula:

$r = \sqrt{(x_1-x_2)^2+(y_1-y_2)^2}$

$r = \sqrt{(x_1-x_m)^2+(y_1-y_m)^2}$

$r = \sqrt{(6-7)^2+(5-5)^2}$

$r = \sqrt{1^2}$

$r = 1$

Equation of the circle:

The equation is written as:

$(x-a)^2+(y-b)^2=r^2$

here, (a,b) are the center points of the circle

in our case this is $(a,b)=(x_m,y_m)=(7,5)$

and r = 1

$(x-7)^2+(y-5)^2=1^2$

$(x-7)^2+(y-5)^2=1$

This is the equation of the circle!

3 0

3 years ago

What are the intercepts of -4x 6y-5z=60

algol [13]

X intercept is when y and z=0
yinter cept is when x and z =0
zintercept is when x and y =0

set to zero and solve

xint
-4x+6(0)-5(0)=60
-4x=60
divide -4
x=-15
xint is (-15,0,0)

ying
-4(0)+6y-5(0)=60
6y=60
divide by 6
y=10
yint is (0,10,0)

zint
-4(0)+6(0)-5z=60
-5z=60
divide by -5
z=-12
zint is (0,0,-12)

xint is (-15,0,0)
yint is (0,10,0)
zint is (0,0,-12)

6 0

3 years ago

Geometry help with number 18!

lora16 [44]

BE is parallel to CD, therefore, m∠BEC=m∠ECD, therefore mBC=mDE
BE is the diameter, so Arc BE is 180 degree
mBC+mCD+mDE=180
replace mCD with 3mBC, and replace mDE with mBC: mBC+3mBC+mBC=180
5mBC=180
mBC=180/5=36
mCD=3mBC=3*36=108
the inscirbed angle m∠ECD= the measure of arc DE=36

4 0

3 years ago

Which of the following fractions is equivalent to 4/20? 2/6 8/16 1/2 3/6 5/10 7/11

scZoUnD [109]

Answer:

1/2

Step-by-step explanation:

8 0

3 years ago