evaluate the function f ( -2) = − 3 ^2

Answer:

8 munutes

Step-by-step explanation:

let :

x is the final level for both tanks (in ft) and

t is the time (in minutes)

the equation :

x = 6 - 0.5 t (eq.1)

x = 10 - 1t (eq.2)

eq. 1 = eq. 2

=>

6-0.5t = 10-1t

1t - 0.5t = 10-6

0.5t = 4

t = 4/0.5 = 8

t = 8 minutes

Answer:               8 minutes

Step-by-step explanation:

Write an equation for the level of oil in each tank.

Let t = the number of minutes.

Tank A: y = 6 − 0.5t

Tank B: y = 10 − 1t

Solve the system by using a table of values

When t = 8 minutes, the level in both tanks will be at 2 feet.

Answer:

1000cm²=0.1m²

so 7000cm²=0.7m²

Step-by-step explanation:

please mark me as brainliest

Answer:

0.7

Step-by-step explanation:

Make ratio:

1 square centimeter = 0.0001 square meter

x square meters = 7000 square centimeters

Multiply:

0.0001 × 7000 = 0.7

Hope this helped.

Answer:

the first difference are all 20.

since the first differences of this relation are constant, it is a linear relation

Answer:

Linear because the account balance increases by a constant 20.

Step-by-step explanation:

→ The first difference is 20 for all values because :

20 - 0 = 20

40 - 20 = 20

60 - 40 = 20

80 - 60 = 20

100 - 80 = 20

Answer:

0, 5, 10, 15, 20

0, 5, 40, 405, 5,120

Step-by-step explanation:

One rule can be "add 5 to the previous term to get the next term."

0, 5, 10, 15, 20

Second rule:

For each term number 1, 2, 3, ..., n,

each term = 5(n - 1)^n

0, 5, 40, 405, 5,120

The next three terms for the rule Tn = a + (n-1)d will be 10,15 and 20

The next three terms for rule 5(n-1)ⁿ will be 40, 405 and 5120.

Sequences are numbers arranged in a specific pattern.

Given the sequence 0, 5...

This sequence can be an arithmetic sequence with nth term expressed as:

a is the first term = 0

n is the number of terms

d is the common difference = 5 - 0  5

If n = 3

T3 = 0 + (3-1)*5

T3 = 2 * 5

T3 = 10

If n = 4

T4 = 0 + (4-1)*5

T4 = 3 * 5

T4 = 15

If n = 5

T5 = 0 + (5-1)*5

T5 = 4 * 5

T5 = 20

Hence the next three terms for the rule will be 10,15 and 20

Also, we can also use the recursive rule f(n) = 5(n-1)ⁿ

If n = 3

f(3) = 5(3-1)³

f(3) = 5(2)³

f(3) = 5 * 8

f(3) = 40

If n = 4

f(4) = 5(4-1)⁴

f(4) = 5(3)⁴

f(4) = 5 * 81

f(4) = 405

If n = 5

f(5) = 5(5-1)⁵

f(5) = 5(4)⁵

f(5) = 5 * 81

f(5) = 1024 * 5

f(5) = 5120

Hence the next three terms for the rule will be 40, 405, and 5120.

Learn more here: https://brainly.com/question/16151695

Answer:

14, 21

Step-by-step explanation:

LCM : least common multiplier.

x + y = 35

LCM = 42

means that there is a combination of 2 of the following divisors of 42 :

2, 3, 6, 7, 14, 21

so, which two of these numbers can create the sum of 35 ?

only 14 and 21

Answer:

A) 2 cm

Step-by-step explanation:

By definition, regular polygons have equal sides and angles. Therefore, each side of the regular hexagon must be equal. Since one side is marked as 2 cm, the length of PQ must also be 2 cm.

Answer:

i don't know

Step-by-step explanation:

i don't know

Answer:

3 a + 4 b

Step-by-step explanation:

Biểu thức đại số biểu thị bạn Cúc mua  3  ly trà sữa và  4  ly kem là:

3 a + 4 b

Answer: x = 36

Step-by-step explanation:

[tex]\frac{2}{3} x-4=20\\\\\frac{2}{3} x=20+4\\\\\frac{2x}{3} =24\\\\2x=24*3\\\\x=\frac{72}{2} =36[/tex]

Answer:

a = 20; b = 10sqrt(3)

Step-by-step explanation:

The ratio of the lengths of the sides of a 30-60-90 triangle is

1 : sqrt(3) : 2

b = 10 * sqrt(3)

b = 10sqrt(3)

a = 2(10)

a = 20

Answer: a = 20; b = 10sqrt(3)

Answer:

a=20,[tex]b=10\sqrt{3}[/tex]

Step-by-step explanation:

SOH-CAH-TOA

Tan = O/A

Tan(60)= b/10

[tex]b=10\sqrt{3}[/tex]

Cos = A/H

cos(60) = 10/a

a=20

Answer:

b) 78.5

Step-by-step explanation:

distance you will move = circumference of wheel = πd = π(25) = 78.53981

the answer of this question is (-2,2)

Answer:

a) 3.5 cm / month

b y = 3.5(x-1) + 4, x >= 1

Step-by-step explanation:

the plant grew 32-4 = 28 cm in 9-1 = 8 months.

so, the growth rate is 28 cm / 8 months = 7 cm / 2 months, or (to norm it to a typical 1 unit denominator) 3.5 cm per month.

x = months of growth

y = height of plant

so, considering the "start" of 4 cm after one month, the equation is

y = 3.5(x-1) + 4, x >= 1

since we don't know anything about anything that happened before the first month was over, we cannot validate this equation for anything x<1.

Answer:

[tex](a+b)(a^2-ab+b^2)=(a^3+b^3)[/tex]

Step-by-step explanation:

Answer:

(0.5,3)

Hope this helps..Have a good day!!

The height of the given triangle is 3.7 yds. Therefore option A is the correct answer.

We need to find the height of the given triangle.

The formula to find the area of the triangle is Area=√s(s-a)(s-b)(s-c).

Where s is the semiperimeter, a,b and c are sides of the triangle.

Now, s=6+10+14/2=15 yds

Area of a triangle=√15(15-6)(15-10)(15-14)=25.9

Area of triangle=1/2×14×h=25.9 square yds

⇒h=3.7 yds

Therefore, the height of the given triangle is 3.7 yds.

To learn more about the area of a triangle visit:

https://brainly.com/question/27701864.

#SPJ5

Answer:

ES LA NUME  C                                        R

Step-by-step explanation:

Answer:

selling prices =10% 10+150+15%=180

Step-by-step explanation:

In geometry, a transversal is a line that intersects two or more other (often parallel ) lines. In the figure below, line n is a transversal cutting lines l and m . When two or more lines are cut by a transversal, the angles which occupy the same relative position are called corresponding angles

Answer:

x = 3

Step-by-step explanation:

We are given the equation 4(x - 8) + 10 = -10 and are asked to find the solution, solution meaning to get x alone.

To do so, first distribute the 4 on the outside of the parenthesis to both values on the inside of the parenthesis :

4(x - 8)

(4 * x - 4 * 8)

4x - 32

4x - 32 + 10 = -10

Now combine like terms :

4x - 22 = -10

Now it's time to get x alone, first get rid of -22 by adding 22 to both sides :

4x = 12

Now get x alone by dividing both sides by 4 :

x = 3

Answer:

Step-by-step explanation:

tex]\tt{ \green{P} \orange{s} \red{y} \blue{x} \pink{c} \purple{h} \green{i} e}[/tex]

Answer:

slope = 3

Step-by-step explanation:

Take a look at the grid, when the x = 0, y = -2, so it means you have a function with form y = a•x - 2

Now, look at the grid lime when x = 2, at this point, y = 4. If the function doesn't had -2, y in x = 2 would be 4 + 2 = 6

Which number you multiply 2 to have 6? Number 3, so this is the slope, and the function is y = 3x -2

Answer:

3

Step-by-step explanation:

Start at the y-intercept

Slope is rise (up/down) over run (move to the right/left)

First you rise 3

And you run 1

3/1 is 3 thus 3

Answer:

\begin{bmatrix}\mathrm{Solution:}\:&\:x\ge \:0\:\\ \:\mathrm{Interval\:Notation:}&\:[0,\:\infty \:)\end{bmatrix}

\begin{bmatrix}\mathrm{Solution:}\:&\:f\left(x\right)=1\:\\ \:\mathrm{Interval\:Notation:}&\:f\left(x\right)=1\end{bmatrix}

Step-by-step explanation:

Answer:

Option 4. All real numbers greater than or equal to 2.

I hope this will help.