Use the Law of Cosines to find the values of x°and y°. Round to the nearest tenth.

Answer:

231.59 years

Step-by-step explanation:

To model this situation we are going to use the exponential decay function:

f(t)= a (1-b)^t

where f(t) is the final amount remaining after t years of decay

a is the final amount

b is the decay rate in decimal form

t is the time in years

For Substance A:

Since  we have 300 grams of the substance, a=300. To convert the decay rate to decimal form, we are going to divide the rate by 100%:

r = 0.15/100 = 0.0015. Replacing the values in our function:

f(t) = a (1-b)^t

f(t) = 300 (1-0.0015)^t

f(t) = 300 (0.9985)^t equation (1)

For Substance B:

Since we have 500 grams of the substance, a= 500. To convert the decay rate to decimal form, we are going to divide the rate by 100%:

r=0.37/100= 0.0037. Replacing the values in our function:

f(t) = a (1-b)^t

f(t)= 500 (1-0.0037)^t

f(t)=500(0.9963)^t equation (2)

Since they are trying to determine how many years it will be before the substances have an equal mass M, we can replace f(t) with M in both equations:

M=300(0.9985)^t equation (1)

M=500(0.9963)^t equation (2)

We can conclude that the system of equations that can be used to determine how long it will be before the substances have an equal mass, M, is :

{M=300(0.9985)^t

{M=500(0.9963)^t

Answer:

15 more pedestrians than cyclists

Step-by-step explanation:

2:7 ratio tells us two cyclists for every seven pedestrians so out of every 9 people 2 are cyclists and 7 are pedestrians.

27/9=3

So we have 3 groups of 9...

3×2=6

&

3×7=21

so

6 cyclists and 21 pedestrians

subtract cyclists from pedestrians to find difference...

21-6=15

Answer:

im sorry what?

Step-by-step explanation:

Answer:

Explanation:

The Sum Of x And 6: x + 6

Two Less Than Ten: 10 - 2

Answer:

3x - 2

Step-by-step explanation:

Answer:

3x−2

Heart if this helped!

Answer:

1/6

Step-by-step explanation:

They are asking for 1 section out of 6 so it is 1/6.

Can I please have Brainliest?

Answer:

Expression: [tex]120(1.3)^{16}[/tex]

Beetles after 16 years: 7984 beetles

Step-by-step explanation:

Since the population increases 30% annually every year on the population size of that year, then we need to use a compound interest formula which would be the following

A = P (1 + r/n) (nt)

A = the future amount

P = the initial amount

r = the annual increase rate (decimal)

n = the number of times that interest/increase is compounded per unit t

t = the number of years

Using the values in the question the expression for this scenario would be the following

120(1 + (0.30 / 1))^(1*16)

[tex]120(1.3)^{16}[/tex]

7984.99

Exact Form:

1/27

Decimal Form:

0.037 (with a line over 037)

Answer:

813.681818182

(That's the exact number, but you can circle it to 813.7 )

Step-by-step explanation:

459%22=20.8636363636

20.8636363636 x 39= 813.681818182

Given:

The radius of the cylinder = 2 cm

Height of the cylinder = 5 cm

To find:

The volume of the cylinder.

Solution:

We know that, the volume of a cylinder is:

[tex]V=\pi r^2h[/tex]

Where, r is the radius and h is the height of the cylinder.

Putting [tex]r=2,h=5[/tex] in the above formula, we get

[tex]V=\pi (2)^2(5)[/tex]

[tex]V=\pi (4)(5)[/tex]

[tex]V=20\pi [/tex]

Therefore, the volume of the cylinder is [tex]20\pi [/tex] cubic cm and its approximate value is 62.832 cubic cm.

Answer:

[tex]\dfrac{3}{4}\ miles[/tex]

Step-by-step explanation:

Total distance to a temple = 2 miles

She has walked 1 1/4 miles or 5/4 miles

More miles to reach the hidden temple = total distance - walked distance

[tex]=2-\dfrac{5}{4}\\\\=\dfrac{8-5}{4}\\\\=\dfrac{3}{4}[/tex]

So, she has to travel [tex]\dfrac{3}{4}[/tex] miles to reach the hidden temple.

Answer:

4/7 (I may be wrong)

Step-by-step explanation:

There are 7 numbers, of which 4 are even. This could be %100 wrong/right.

Answer: J

Step-by-step explanation: It is very cool you are in middle schopol

Answer:

0.105

Step-by-step explanation:

0.25/100 x 42 = 0.105

Answer: The answer is 0.105

Answer:

zero, because the discriminant is negative

Step-by-step explanation:

By writing the quadratic formula, we have the discriminant written in the root as;

b^2-4ac

Now, given the expression, we can see that the discriminant here is -19

What this mean is that we have a negative discriminant

Hence, we can conclude that the roots are complex and as such, none of the roots are real

Answer:

$620 every year

Step-by-step explanation:

Since the question didn't specify how long she would have to save for, let's just assume that it's one year. There are 52 weeks in a year which is $520, and on her birthday she would have an extra $100, so every year she saves $620 in total.

Answer:

6

Step-by-step explanation:

15 is 9 more hence you subtract 9 from15

Hope this helps

Answer:

I think that it is positive 650.

Answer:

you got it

Step-by-step explanation:

that is itdescribe your answer to gt i wrie u are doing a test

Answer:

2.22

Step-by-step explanation:

[tex]\sqrt[3]{11} =2.223980091[/tex]

Rounded to hundredths: 2.22

Answer:

1,256 flower

Step-by-step explanation:

First, we need to calculate the circumference of the circle. The formula for the circumference of the circle is:

C

=

2

π

r

If we substitute

100

ft

for

r

and use

3.14

to approximate

π

we get a circumference of:

C

=

2

⋅

3.14

⋅

100

ft

C

=

6.28

⋅

100

ft

C

=

628

ft

We can now convert the circumference in feet to inches;

628

ft

×

12

in

1

ft

⇒

628

ft

×

12

in

1

ft

⇒

628

×

12

in

⇒

7536

in

To find how many flowers we need we can divide the circumference in inches by the 6 inches between flowers giving:

7536

in

×

1

flower

6

in

⇒

7536

in

×

1

flower

6

in

⇒

7536

×

1

flower

6

⇒

7536

flower

6

⇒

1256

flower

You would require 1,256 flowers

Answer:

Yes, quadrilateral MATH is a rectangle.

Step-by-step explanation:

If you plot the coordinates onto a graph, you will get a rectangle. You can determine it is a rectangle because there are four right angles, and two adjacent sides that are equal in length.

M (-4,-1)

A (-3,2)

T (3,0)

H (2,-3)

Step-by-step explanation:

(i) From the graph value of x varies -3 to 3 i.e.

[tex]-3\leq x\leq 3[/tex]

and domain in the input values which function can take

So, option (d) is correct.

(ii) option (d) is correct as it represent the function [tex]y=x[/tex]. While all the other function does not satisfy the given conditions.

(iii) [tex](-14,-15), (-9,-10)[/tex] are the parts of solution pair.

(iv) Option (c) and (d) represents the function as each element of the first set has a unique image in the second set.

Answer:

The answer is b I searched it on goggle and did the math.

Step-by-step explanation:

Answer:

20 i think

Step-by-step explanation:

Answer:

The value after three years is $137,027.97

Step-by-step explanation:

Here, we want to get the value of the home after 3 years

Generally, we have the exponential formula as follows;

y = P(1 + r)^t

where P is the original cost which is $124,400

r is the rate of increase which is 3% = 3/100 = 0.03

t is the time which is 3 years

Substituting these values;

y = 125400(1 + 0.03)^3 = $137,027.97

Answer:

4

Step-by-step explanation:

Answer:

10 I believe I really hope it helped!

Step-by-step explanation:

Answer:

That's easy! 10 times

Step-by-step explanation:

60 divided by 6 is 10

Answer:

A < B

Step-by-step explanation:

well lets see, they are both adding 34 and 25

But in a, they are dividing, and because dividing usually makes the number smaller, B is larger

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

Answer:

Expression A is less than expression B

Step-by-step explanation: Connexus