In this figure, ST is a line.

What is the value of x?

BTW that says 2/3x

Answer: The side of the house will the ladder reached by ladder = 16.52 feet

Step-by-step explanation:

House is standing vertical on the ground.

By placing ladder, it will become a right triangle with hypotenuse as ladder.

By Pythagoras theorem,

[tex](hypotenuse)^2=(perpendicular)^2+(base)^2[/tex]

i.e.

[tex](17)^2=(Height \ of\ wall\ reached\ by\ ladder)^2+4^2\\\\\Rightarrow\ (Height \ of\ wall\ reached\ by\ ladder)^2=289-16\\\\\Rightarrow\ (Height \ of\ wall\ reached\ by\ ladder)^2=273\\\\\Rightarrow\ (Height \ of\ wall\ reached\ by\ ladder)=\sqrt{273}\approx16.52[/tex]

Hence, the side of the house will the ladder reached by ladder = 16.52 feet (approx)

Answer:

b>20.4

Step-by-step explanation:

Answer:

4 months

Step-by-step explanation:

Let

x = number of months

Double Mint Mobile = 100 + 30x

BT&T = 20 + 50x

After how many months will both cell phone plans cost the same?

Equate the cost of both phone plans

Double Mint Mobile = BT&T

100 + 30x = 20 + 50x

100 - 20 = 50x - 30x

80 = 20x

x = 80/20

x = 4 months

Number of months = 4 months

Answer:

7.5

Step-by-step explanation:

[tex]a^2+b^2=c^2\\x^2+5^2=9^2\\x^2+25=81\\x^2=56\\\sqrt{x^2} =\sqrt{56} \\x=7.5[/tex]

Answer:

49 cm squared. Find the area of all then add.

Answer:

Notice that the written functions are mostly incorrectly written, after a short online search i've found the correct ones, which are the ones i will write in this answer.

A general exponential equation can be written as:

f(x) = A*(r)^x

Where A is the initial value, r is the rate of growth, and x is our variable.

If r > 1,  the function represents a growth.

if 0 < r < 1, the function represents a decay.

1) f(x) = 3^x

Here we have r = 3

This is clearly larger than 1, then this function represents a growth.

2) f(x) = (0.25)^x

Here we have r = 0.25, which is smaller than 1 and larger than zero, then this function represents a decay.

3) f(x) = (2/3)^x

here we have r = 2/3 = 0.66

This is larger than zero and smaller than 1, then this function represents a decay.

4) f(x) = (3/2)^x

Here we have r = 3/2 = 1.5

This is larger than 1, then this function represents a growth,

Answer:

y = -1/5x + 6

Step-by-step explanation:

First rearrange x + 5y = 10 into y = mx + b format.

x + 5y = 10

5y = -x +10

y = -1/5x + 2

If a line is parallel to y = -1/5x + 2, it must have the same slope (-1/5).

Plug in for y = mx + b

x (x coordinate) = -5

y (y coordinate) = 7

m (slope) = -1/5

Solve for b.

7 = -5(-1/5) + b

7 = 1 + b

b = 6

y = -1/5x + 6 is parallel.

Answer:

60°

Step-by-step explanation:

A straight line is 180°

<5 is 120°

180°-120°=60°

Answer:

[tex]f(n) = \frac{4^n-0.25}{3}[/tex] --- Job offer 1

[tex]g(n) = 16n[/tex] --- Job offer 2

[tex]1 \le n \le 10[/tex]

Step-by-step explanation:

Given

Job offer 1:

Offer = $0.25

[tex]Day 1 = \$1\ Day 2 = \$4\ Day 3 = \$16......[/tex]

Job offer 2:

Daily = $16

Required

Determine the equation for both jobs

For job offer 1:

Considering the pay for day 1, day 2,....

The sequence shows a geometry progression where the payment between subsequent days is a product of 4 by the payment of the previous day.

The sequence can be represented as:

[tex]T_1 = 1; T_2 = 4; T_3 = 16[/tex]

The common ratio (r) is:

[tex]r = \frac{T_2}{T_1} = \frac{4}{1} = 4[/tex]

The sum of n terms is the total salary received in n days.

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

[tex]S_n = \frac{1 * (4^n - 1)}{4-1}[/tex]

[tex]S_n = \frac{4^n - 1}{3}[/tex]

So, the equation for job offer 1 is:

[tex]f(n) = Offer + S_n[/tex]

[tex]f(n) = 0.25+ \frac{4^n - 1}{3}[/tex]

Take LCM

[tex]f(n) = \frac{0.75 + 4^n - 1}{3}[/tex]

Collect like terms

[tex]f(n) = \frac{4^n - 1+0.75}{3}[/tex]

[tex]f(n) = \frac{4^n-0.25}{3}[/tex]

For job offer 2:

Daily payment of $16 implies that job offer 2 pays 16n for n days.

So:

[tex]g(n) = 16n[/tex]

In both cases: [tex]1 \le n \le 10[/tex]

5 is what percent of 25? = 20

Answer:

B. 81 m²

Step-by-step explanation:

6x10 = 60

7x6 = 42

42/2 = 21

60+21 = 81

Answer:

B) 81 meters squared

Step-by-step explanation:

rectangle = 6 * 10 = 60

triangle = .5 * 6 * 7 = 21

60+21 = 81

Answer:

2 (9) + 7 = 25

Step-by-step explanation:

Answer:

(10,6)

Step-by-step explanation:

1. Rearrange

x-y=4

y=x-4

y-8=-2

y=6

2. Graph

Answer:

20÷8=2,5 12÷2,5=4,8 8÷2,5=3,2 10÷2,5=4 5÷2,5=2 therefore 4,8+3,2+4+2=14

Answer: 2

Step-by-step explanation:

Given

In a litter of 10 Puppies, 4 are black i.e.

[tex]\Rightarrow \dfrac{4}{10}\times 100=40\%\ \text{of puppies are black}[/tex]

In a litter of 5, there would be

[tex]\Rightarrow 5\times 40\%=5\times 0.4=2[/tex]

There are 2 black puppies

Answer:

The three different possible conditions ;

nonalcoholic beer group, 1 beer group, 2 beer group

Step-by-step explanation:

The Independent variable, also known as the predictor variable are variables used to influence and check changes in the dependent or predicted variable as subjects are exposed to the different types or levels of independent variable used in the study.

In the scenario described above, the predictor or independent variables which are used to measure the reaction times of participants to unexpected variables is the independent variable, beacuse these different variables ; nonalcoholic beer, 2 beer will probably affect the response time of the participants which is the dependent variable.

Answer:

3.53

Step-by-step explanation:

Answer:

314.2 cm²

Step-by-step explanation:

The area of the circular cross section of the pipe is given by A = πd²/4 where d = diameter of pipe = 20 cm

So, A = πd²/4

substituting the value of d into the equation, we have

A = π(20 cm)²/4

A = π400 cm²/4

A = 100π cm²

A = 314.16 cm²

A ≅ 314.2 cm²

Answer:

100pi

Step-by-step explanation:

Answer:

1st blank :

-4

star :

5

it's correct answers

Answer:

For the first column, the y= -4

For the last column, y= 5

Step-by-step explanation:

For the first column explanation:

For the last column explanation:

I hope this helps!

Answer:

-209

Step-by-step explanation:

-10*(22)+11

-220+11

-209

Answer:     -209

Step-by-step explanation:

f(22)=-10(22)+11

f(22)=-220+11

f(22)=-209

Explanation is in the file

tinyurl.com/wpazsebu

Answer:

10.110 km

Step-by-step explanation:

1000 meter = 1 kilometre

Since we are to provide the answer in kilometres, we have to convert the meters to kilometres

1685 m = 1685/1000 = 1.685km

Total kilometres swan by the 6 members =  1.685km x 6 = 10.110 km

Method 2

1.685km +  1.685km +  1.685km +  1.685km +  1.685km +  1.685km = 10.110km

Answer:

21.25%

Step-by-step explanation:

To find the percent decrease, take the original amount and subtract the new amount

80-63 = 17

Divide this by the original amount

17/80 =.2125

Multiply by 100 to change to a percent

21.25%

Answer:

366

starts at 9, jumps by 7 each time.

so it's 9 plus 7 times the number if remaining jumps.

51x7= 357

add the origiinal 9, and you get 366

Answer:

4 hope it helps you better

Here is my answer. I hope this is helpful.

Answer:

All real numbers such that 37.75 <or= y <or= 40

Step-by-step explanation:

This means that y is greater than or equal to 37.75 but less than or equal 40 and according to the table, that's true.

Answer:

No

Step-by-step explanation:

the sum of the two shorter sides must be greater than the longer side

(not even if it is equal to, as in this case)

Here are some formulas to see if 3 sides can make a triangle...

[tex]a+b>c\\b-a, a-b<c\\a+c>b[/tex]

So a=3

b=5 and c=8

3+5=8

So no it can't.