[tex]in triangle ABC, AB=7, BC=10, and the measure of angle B=80, to the nearest 10th, what is b[/tex]

Answer:

$3

Step-by-step explanation:

Given data

Let the cost of drinks be x

and the cost of hotdogs be y

so

3x+4y=15-------1

also

3x+y= 10.5------2

solve 1 and 2

 3x+4y=15

-3x+y= 10.5

     3y= 4.5

divide both sides by 3

y= 4.5/3

y= $1.5

Put y= 1.5 in 1

3x+4(1.5)=15

3x+6= 15

3x=15-6

3x= 9

x= 9/3

x= $3

Hence the cost of a drink is $3

Answer:

Part A

The population for the first four years are;

Year 1; 26,000,000,

Year 2; 22,100,000

Year 3;  18,785,000

Year 4; 15,967,250

Part B

i)The third year

ii) Provision of spawning environment and the reduction of predators

Part C

The population after 10 years is approximately  139,208,436

Step-by-step explanation:

Part A

The given parameters are;

The rate at which the population is decreasing = 15%

The population of the walleye at the beginning of the current year, P = 26 million

Therefore, we have;

The population of subsequent year = 0.85 × The population of the current year

Therefore, we have a geometric series, with a first term, a = 26 million, and a common ratio, r = 0.85, given as follows;

aₙ = a + ar + ar² + ...

Therefore the first 4 years using 26 million as the first term are;

a₁ = 26 × 10⁶  

a₂ = 26 × 10⁶ × 0.85 = 22,100,000

a₃ = 26 × 10⁶ × 0.85² = 18,785,000

a₄ = 26 × 10⁶ × 0.85³ = 15,967,250

The population for the first four years are;

26,000,000, 22,100,000, 18,785,000, 15,967,250

Part B

i) Given that the walleye population are considered to be in rehabilitation state when they are between 15 and 20 million, we have;

The population in the third year = 18,750,000 < 20,000,000

Therefore, the population enters rehabilitation state in the 3rd year

ii) Other intervention method includes provision of a adequate environment for spawning and the removal of predators

Part C

The formula for the sum of the geometric progression is presented as follows;

[tex]S_n = \dfrac{a^1 - a^1 \cdot (1 + r)^n}{1 - (1 + r)}[/tex]

Therefore, we have;

[tex]S_n = \dfrac{26 - 26 \cdot (1 - 0.15)^{10}}{1 - (1 - 0.15)} = 139.208436581[/tex]

The population after 10 years, Sₙ = 139.208436581 × 10⁶ ≈ 139,208,436

Answer:

x      y

0     10

1      13

2     16

3     19

Step-by-step explanation:

y = 3x + 10

Let x = 0 and evaluate the expression.

y = 3(0) + 10 = 0 + 10 = 10

Let x = 1 and evaluate the expression.

y = 3(1) + 10 = 3 + 10 = 13

Let x = 2 and evaluate the expression.

y = 3(2) + 10 = 6 + 10 = 16

Let x = 3 and evaluate the expression.

y = 3(3) + 10 = 9 + 10 = 19

x      y

0     10

1      13

2     16

3     19

Answer:

2.458

Step-by-step explanation:

Answer:

2.458

Step-by-step explanation:

It’s basically Place Values, 2 is in the ones, 4 is in the tenths, 5 is in the hundredths and 8 is in the thousandths.

Answer:

0.1, -0.2, -0.5

Step-by-step explanation:

Answer:

12 a x^ 2 -15 a b-16 a

Answer:

1 x 10 13

Step-by-step explanation:

Answer:

1 x 10^12

Step-by-step explanation:

Answer:

k = -5

Step-by-step explanation:

Answer:

10

Step-by-step explanation:

6(10) ÷ 3(2) = 10

60 ÷ 6 = 10

10 = 10

Answer:

V≈43.98

Step-by-step explanation:

V=πr2h=π·22·3.5≈43.9823

Answer:

160

Step-by-step explanation:

PEMDAS

parenthesis go first 24+3= 27

there are no exponents but their is multiplication 27 times 6 is 162 their is no (D)Division (A)Addition but their is (S) Subtraction 162 minus 2 is 160

Answer:

Number of students in each van = 18

Number of students in each bus = 53

Step-by-step explanation:

Given: The senior class at High School A rented and filled 2 vans  and 7 buses with 407 students.

High School B rented and filled 1 van and 7 buses with  389 students.

Also, every van and the van had the same number of students in it.

Solution:

Let x denotes number of students in each van and y denotes number of students in each bus.

According to the given information,

From (ii), put  in (i)

Put  in

Number of students in each van = 18

Number of students in each bus = 53

Please give brainliest.

Answer:

(x-1)^2 +1

Step-by-step explanation:

Answer:

(x + 1 - i ) (x + 1 + i)

Step-by-step explanation:

Answer:

it moves up

Step-by-step explanation:

Answer:

-3.5 is rational,[tex]\sqrt{16}[/tex] is rational, and 3π is irrational

Step-by-step explanation:

-3.5, and [tex]\sqrt{16}[/tex] is rational because it can be expressed as a fraction or part of a whole number. 3π is irrational because these numbers cannot be expressed as a fraction or ratio of two integers.

Answer:

f(-2) = 28

Step-by-step explanation:

Given that,

[tex]f(x) = - 3x^3 -x^2 +8[/tex]

We need to find the value of f(-2). Put x = -2 in the given function. SO,

[tex]f(-2) = - 3(-2)^3 -(-2)^2 +8\\\\=24-4+8\\\\=28[/tex]

So, the value of f(-2) is equal to 28.

Answer:

3:4

Step-by-step explanation:

Given:

Small bottle volume = 120 mL

Big bottle volume = 160 mL

Find:

Ratio of small bottle to big bottles volume

Computation:

Ratio of small bottle to big bottles volume = 120 / 160

Ratio of small bottle to big bottles volume = 3/4

Ratio of small bottle to big bottles volume = 3:4

Option "C" is correct.

Answer:

1/128 * (3 - 4cos2x + cos4x)

Step-by-step explanation:

See attachment for steps

Answer:

it is axes

Step-by-step explanation:

Answer:

I guess its Axes and coordinate plane

Step-by-step explanation:

Answer:

-3/1 and -2/1

Step-by-step explanation:

Answer: (15*12.5)-(8*10)

107.5 is the area not covered by the rug

Step-by-step explanation:

Answer:

The answer is C.

Step-by-step explanation:

Answer: It's either 278 or 178

Step-by-step explanation: I didn't know what equation the question wants you to use so for the first equation it showed I did (10^2+24+10+144) and got 278. For the second equation I did 24+10+144 and got 178. Considering it gave you ax+b as an area equation I just added them (same with the other equation). I don't know whether those are correct of not though.

Answer:

22

Step-by-step explanation:

The equation would be:

let s be the number of students

[tex]4s + 10 =98[/tex]

Solve:

[tex]4s+10=98\\4s = 88\\s = 22[/tex]

Answer:

(13/2, 13/2)

Step-by-step explanation:

Answer:

option D would be your answer

Step-by-step explanation:

[tex]y=\frac{-1}{2}[/tex]

Answer:

its -1/2 the last option

Step-by-step explanation:

The area of the shaded sector of the circle is 16π units².

Suppose the circle has radius of 'r' units, then, its area is given as:

[tex]A = \pi \times r^2[/tex]

sq. units

Since radius of a circle is half of its diameter, so if diameter is of 'd' length, then r= d/2, thus, area can be rewritten as:

[tex]\pi \times (\dfrac{d}{2})^2[/tex]

sq. units

We are given that;

θ = r radians

r = 4 units

Now,

To convert radians to degrees, we use the formula:

Degrees = Radians × 180°/π

So,

θ = r × 180°/π

Substituting these values in the formula for area of a sector, we get:

Area of a sector = (r × 180°/π / 360°) × π(4)²

Simplifying, we get:

Area of a sector = r² units²

=16π units².

Therefore, by the area of a circle the answer will be 16π units².

Learn more about area of a circle here:

https://brainly.com/question/13004063

#SPJ5

Answer:

B stands for base

Step-by-step explanation:

The B stands for the base of the shape.