D
This is because the expression can be simplified to get the same result. -1+2log_4((1/4)x)
Answer:
b. -3
Step-by-step explanation:
i hope this helps :)
Answer:
A, B and D
Step-by-step explanation:
A. The polynomial is a trinomial.
A trinomial refers to a polynomial with three terms. This option is correct.
B. The degree of the polynomial is 6.
Degree refers to the highest power in the polynomial. This option is correct.
C. The leading coefficient is 1
This is false. The leading coefficient is the coefficient of the variable bearing the degree of the polynomial. This is wrong.
D. Written in standard form, the polynomial is –2x6 + x5 + 3.
This is correct.
Answer:
![\text{1) }\\\text{Circumference: }24\pi \text{ m}},\\\text{Length of bolded arc: }18\pi \text{ m}\\\\\text{3)}\\\text{Circumference. }4\pi \text{ mi},\\\text{Length of bolded arc: } \frac{3\pi}{2}\text{ mi}](https://tex.z-dn.net/?f=%5Ctext%7B1%29%20%7D%5C%5C%5Ctext%7BCircumference%3A%20%7D24%5Cpi%20%5Ctext%7B%20m%7D%7D%2C%5C%5C%5Ctext%7BLength%20of%20bolded%20arc%3A%20%7D18%5Cpi%20%5Ctext%7B%20m%7D%5C%5C%5C%5C%5Ctext%7B3%29%7D%5C%5C%5Ctext%7BCircumference.%20%7D4%5Cpi%20%5Ctext%7B%20mi%7D%2C%5C%5C%5Ctext%7BLength%20of%20bolded%20arc%3A%20%7D%20%20%5Cfrac%7B3%5Cpi%7D%7B2%7D%5Ctext%7B%20mi%7D)
Step-by-step explanation:
The circumference of a circle with radius
is given by
. The length of an arc is makes up part of this circumference, and is directly proportion to the central angle of the arc. Since there are 360 degrees in a circle, the length of an arc with central angle
is equal to
.
Formulas at a glance:
- Circumference of a circle with radius
:
- Length of an arc with central angle
: ![\ell_{arc}=2\pi r\cdot \frac{\theta}{360}](https://tex.z-dn.net/?f=%5Cell_%7Barc%7D%3D2%5Cpi%20r%5Ccdot%20%5Cfrac%7B%5Ctheta%7D%7B360%7D)
<u>Question 1:</u>
The radius of the circle is 12 m. Therefore, the circumference is:
The measure of the central angle of the bolded arc is 270 degrees. Therefore, the measure of the bolded arc is equal to:
![\ell_{arc}=24\pi \cdot \frac{270}{360},\\\\\ell_{arc}=24\pi \cdot \frac{3}{4},\\\\\ell_{arc}=\boxed{18\pi\text{ m}}](https://tex.z-dn.net/?f=%5Cell_%7Barc%7D%3D24%5Cpi%20%5Ccdot%20%5Cfrac%7B270%7D%7B360%7D%2C%5C%5C%5C%5C%5Cell_%7Barc%7D%3D24%5Cpi%20%5Ccdot%20%5Cfrac%7B3%7D%7B4%7D%2C%5C%5C%5C%5C%5Cell_%7Barc%7D%3D%5Cboxed%7B18%5Cpi%5Ctext%7B%20m%7D%7D)
<u>Question 2:</u>
In the circle shown, the radius is marked as 2 miles. Substituting
into our circumference formula, we get:
![C=2(\pi)(2),\\C=\boxed{4\pi\text{ mi}}](https://tex.z-dn.net/?f=C%3D2%28%5Cpi%29%282%29%2C%5C%5CC%3D%5Cboxed%7B4%5Cpi%5Ctext%7B%20mi%7D%7D)
The measure of the central angle of the bolded arc is 135 degrees. Its length must then be:
![\ell_{arc}=4\pi \cdot \frac{135}{360},\\\ell_{arc}=1.5\pi=\boxed{\frac{3\pi}{2}\text{ mi}}](https://tex.z-dn.net/?f=%5Cell_%7Barc%7D%3D4%5Cpi%20%5Ccdot%20%5Cfrac%7B135%7D%7B360%7D%2C%5C%5C%5Cell_%7Barc%7D%3D1.5%5Cpi%3D%5Cboxed%7B%5Cfrac%7B3%5Cpi%7D%7B2%7D%5Ctext%7B%20mi%7D%7D)
Answer:
![k=110](https://tex.z-dn.net/?f=k%3D110)
Step-by-step explanation:
Part 15) we know that
![n=klog(A)](https://tex.z-dn.net/?f=n%3Dklog%28A%29)
Solve for k
That means ----> isolate the variable k
![k=n/log(A)](https://tex.z-dn.net/?f=k%3Dn%2Flog%28A%29)
we have
![n=440\ wolves](https://tex.z-dn.net/?f=n%3D440%5C%20wolves)
![A=10,000\ mi^{2}](https://tex.z-dn.net/?f=A%3D10%2C000%5C%20mi%5E%7B2%7D)
substitute
![k=440/log(10,000)](https://tex.z-dn.net/?f=k%3D440%2Flog%2810%2C000%29)
![k=110](https://tex.z-dn.net/?f=k%3D110)