Answer:
1. The population increases exponentially, therefore the number of members in the team will increase by the equation modeled by :
2. Total cost of the toy is calculated by multiplying the initial cost and the amount of tax charged on the toy.
Here, 15.85 represents the initial cost of the toy
Hence, 1 + x represents the amount of tax charged on the toy.
3. Rate per year is given to be 12.5%
Now, to find monthly rate, divide the yearly rate by 12
4. Rate per year is given to be 20%
Now, to find monthly rate, divide the yearly rate by 12
5. The value of a truck after t years is represented by the function f(t)=22,200(0.92)t .
Here, 2200 is the initial value of the truck.
Answer:
i got 185.4 so basically 184.
412 times 5% equals 20.6
times that by 9 for 9 months then that gives you the answer.
Answer:
440
Step-by-step explanation:
Prime factors of 40 = 2 x 2 x 2 x 5
Prime factors of 220 = 2 x 2 x 5 x 11
Common factors = 2² x 5
Prime factors of 40 (excluding common factors with 220) = 2
Prime factors of 220 (excluding common factors with 40) = 11
Multiply the common factors with remaining factors
2² x 5 x 2 x 11
= 440
a) 36
b) 673
c) 36/15
d) 216V15
Answer:
c) 36√15 cm³
Step-by-step explanation:
We can compute the volume of the pyramid if we know the area of its base, and its height.
__
A regular quadrilateral is a square. If one side of the square is 6 cm, its area will be ...
A = s² = (6 cm)² = 36 cm² . . . . area of the pyramid base
__
Each triangular face will have a slant height that makes its area the same as that of the base.
A = 1/2bh
36 cm² = (1/2)(6 cm)h
(36 cm²)/(3 cm) = h = 12 cm . . . . . divide by the coefficient of h
The slant height of a face is the hypotenuse of a right triangle whose short leg is half the side length, and whose long leg is the height of the pyramid. If that height is represented by h, the Pythagorean theorem tells us ...
(6 cm/2)² +h² = (12 cm)²
h² = (144 -9) cm²
h = 3√15 cm . . . . . height of the pyramid
__
The volume of the pyramid is given by ...
V = 1/3Bh . . . . . . base area B, height h
Using the values we found above, we compute the volume to be ...
V = (1/3)(36 cm²)(3√15 cm) = 36√15 cm³
B. The main cause of Type 2 Diabetes
C. Condition that makes it hard for the body to control the level of glucose in the blood.
D. Damage to the pancreas caused by one’s own antibodies
E. The elevation of glucose levels in the blood
F. Found to help with the treatment of clinical depression
G. Organ where insulin is produced
H. “Good” cholesterol
I. 90% to 95% of the cases of diabetes in America
J. Hardening of the arteries caused by a build-up of fatty materials
1. Diabetes (1 point)
2. Atherosclerosis (1 point)
3. Hyperglycemia (1 point)
4. HDL (1 point)
5. Obesity (1 point)
6. Type 1 (1 point)
7. Insulin (1 point)
8. Type 2 (1 point)
9. Pancreas (1 point)
10. Regular aerobic exercise (1 point)
A. Insulin
B. Diabetes
C. Hyperglycemia
D.
E.
F.
G .Pancreas
H. HDL
I. Obesity
J. Atherosclerosis
Answer:
Step-by-step explanation:
Distributive property
a(b - c) = ab - ac
3(x-4) = 3*x - 3*4
= 3x - 12
Answer:
Step-by-step explanation:
-5x+4y=16
-5x4y=16
-5*4*2
The answers are as follows.
a. 9x
In order to get this, you need to reevaluate 64 as a base of 4. Since 64 is equal to 4^3, we can rewrite the right side as
64^3x = (4^3)^3x = 4^9x
Which gives you the first answer.
b. 10
Similar to the first problem, we need to express 16 as a base of 2. 2^4 is equal to 16, so we use that in it's place and simplify.
16^5/2 = (2^4)^5/2 = 2^20/2 = 2^10
c. Sqrt(7.31)
This one is more simple. Raising something to a 1/2 power (.5) is the same as taking the square root.