Find the unknown side length, x. Write your answer in simplest radical form. A. 15 B. 11 square root 2 C. 2 square root 121 D. 15 square root 5

Answers

Answer 1

Answer: We have two right isosceles triangles. Hypotenuse of that triangle is a $√(2)$ or you can use the Pythagorean theorem: 11² + 11² = c²
121 + 121 = c²
242 =c² c= $√(242)= √(121*2)=11 √(2)$ Answer is the same: B) 11 square root 2

Answer 2

Answer:

Answer:

Step-by-step explanation:

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Situation: a 25 gram sample of a substance that’s used for drug research has a K-value of 0.1205N0(zero)= initial mass(at time t=0)
N= mass at time t
K= a positive constant that depends on the substance itself and on the units used to measure time
t= time, in days
Find the substances half-life, in days. Round your answer to the nearest tenths????

Answers

The decay model is given as

$N=N_0e^(-Kt)$

The substance's half-life is the time it takes for the substance to decay to half its original amount. In other words, it's the time $t$ such that $N=\frac{N_0}2$ . Substituting into the model, you have

$\frac12=e^(-Kt)$

You can solve for $t$ now.

$\frac12=e^(-Kt)$
$\implies\ln\frac12=\ln e^(-Kt)$
$\implies-\ln2=-Kt\ln e$
$\implies\frac{\ln2}K=t\approx5.7523\text{ days}$

Which of the following is the explicit formulas for the geometric sequence?A. an= 9(1/3)n+1
B. an= 9(3)n-1
C. an= 9(1/3)n-1
D. an= 9(3)n+1

Answers

Answer:

C. an= 9(1/3)n-1

Step-by-step explanation:

The decreasing curve means the base of the exponential factor is less than 1, eliminating choices B and D. The value of the term is 9 at n=1, so eliminating choice A.

The general form of the n-th term is ...

an = a1·r^(n-1) . . . . first term a1, common ratio r

so we expect to see an exponent of (n-1) when a1 is the value for n=1. If you match the pattern above to the answer choices, you see the only decision required is whether r=3 or r=1/3. The decaying curve of the graph shows you that r < 1, so the choice is r=1/3 and the formula is ...

an = 9(1/3)^(n-1) . . . . . . . parentheses are needed on the exponent

Solve question in photo. Mathematics help please

Answers

to sub, solve for 1 variable
solve for y

14-4x=2y
divide by 2
7-2x=y
sub 7-2x for y

(7-2x)+2x=7
7-2x+2x=7
7=7
true
answer is infinite olutions since everybody cancled out

What is 10 3/4 plus 11 3/8

Answers

18 7/8 is the answer when you add them

Answer:

18 7/8 is the answer when you add them

Step-by-step explanation:

Given f(x)=x^2-8 and g(x)=x+1/x, find (g o f)(1)[Hint:(g o f)(-4)=(g(f(-4))]
a.)8/7 b.)8 c.)6/7 d.)-8

Answers

f(1) is equal to 1^2-8, or -7.

g(x) is (-7+1)/-7, or -6/-7. This simplifies to 6/7. C is the best option.

Also, since you posted a similar question earlier, I knew what to look for with g(x), but in the future, this looks like the x is not divided by the x in the denominator, and you should express this function as (x+1)/x to increase clarity.

A garden table and a bench cost $985 combined. The garden table costs $35 more than the bench. What is the cost of the bench?

Answers

let the cost price of bench be x
then cost price of garden table is x+35

total cost = x + x+35
985 = 2x +35
985 -35÷2 =x
425 =×
then the total cost of bench is 425 and garden is 460

985-35=950, 950÷2=475, 475+35=510, 510 and 475

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