Jennifer needs to use a ladder to clean a second floor window on a building. If the window is 13 ft above the ground and the base of the ladder is 4 ft from the building, which equation below can be
used to determine the length (x) of the ladder needed to reach the window? Draw a picture

Answer:

12

Step-by-step explanation:

cross multiply. 5*x=(x+3)4 5x=4x+12, therefore x=12

The value of f(g(2)) is 2.

An expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable).

The given table is

x       f(x)

–6      1

–3       2

2       5

5       3

8       0

If the coordinates of a function f(x) is defined as (x,y)

then, the coordinates of inverse of f(x) is defined as (y,x).

f(g(y))= f(x)    [ g(x)= (y,x)]

f(g(y))= y

So, If g(x) is the inverse of f(x), the f(g(y)) = y.

Also, we know g(x) is the inverse of f(x), then f(g(2)) = 2.

Learn more about this concept here:

https://brainly.com/question/2788962

#SPJ1

Answer:

a)  1 cupcake = $5.50

b)  1 Popsicle = $3.50

Step-by-step explanation:

Let s = cost of one soda

Let c = cost of one cupcake

Let p = cost of one Popsicle

From the given information we can create 3 equations:

Subtract Equation 1 from Equation 2 to eliminate the variable s:

    s + 3c + 3p = 40

-        s + c + p = 22

          2c + 2p = 18

Substitute Equation 3 into this new equation and solve for p:

⇒ 2c + 2p = 18

⇒ 2(p + 2) + 2p = 18

⇒ 2p + 4 + 2p = 18

⇒ 4p = 14

⇒ p = 3.5

Substitute the found value of p into Equation 3 and solve for c:

⇒ c = p + 2

⇒ c = 3.5 + 2

⇒ c = 5.5

To find the cost of a soda (s), substitute the found values of p and c into Equation 1:

⇒ s + c + p = 22

⇒ s + 5.5 + 3.5 = 22

⇒ s = 13

Therefore,

histor Grammer

Step-by-step explanation:

lol bhsg HD tcvh by by by g

Answer: The surface area = 2040.

Step-by-step explanation: Have a great day!

The percent frequency for S&P 100 companies in the Consumer Staples sector is 8.2%

From the pie chart of the dataset (see attachment for the pie chart), we have:

Consumer Staples = 8.2%

This means that the percent frequency for S&P 100 companies in the Consumer Staples sector is 8.2%

Read more about pie charts at:

https://brainly.com/question/24461724

#SPJ1

Answer:

9³

Step-by-step explanation:

We know that,

[tex]a^b[/tex] ÷ [tex]a^c[/tex] = [tex]a^b^-^c[/tex]

By following the above, let us solve the given question.

Let us solve now.

⇒ 9⁵ ÷ 9²

⇒ 9⁵⁻²

⇒ 9³

Harry Potter decides it’s too cold for him to stay in Hogwarts and wants to fly straight south, the heading he should have and the velocity of the broom with respect to the ground are mathematically given as

VR = 20, 699 m/s South

Divide horizontal and vertical components of Vs and Vw vectors

For Vs

Vs = Vs cos∅ [s] + Vs Sin∅ [w]

Vs = 18 Co58 [s] + 18 sin∅ [w]

For Vw

Vw = Vw Cos 55' [s] + Vw Sin 55 [E]

5.8333 x Cos 55 (s) + 5-8333 Sin 55 [E]

Vw = 3.3458 [s] + 4.7783 [E]

Resultant velocity VR = Vs + Vw

VR= 18 Coso (s) + 18 sine [w] +3.3458 (5) +42783 (E)

VR = (186030 +3.3458) [5] + (18sing - 4.7183)6]

(Harry Potter) flies south

18sin∅ - 4.7783 18=0

Hence

Sin∅ = 4.7783 18/18

∅ =sin{-1}(4.7783 18/18)

∅  = 15.3943

Harry Potter flies in the direction south to ∅ = $15.3943w]

Hence  velocity

VR = (18 cos∅   + 35452) s + 0

VR = (17.3541 +3-3458) s

VR = 20, 69999 m/s South

Read more about Co-ordinate

https://brainly.com/question/4511664

#SPJ1

Answer:

I believe the answer to be 387.11

Step-by-step explanation:

A=1/4√5(5+2√5) a°2=1/4√5•(5+2•√5)•15°2=387.10742 cm°2

Rounded= 387.11

Answer: 64

Step-by-step explanation:

u = 56 * 8 / 7 = 64

Step-by-step explanation:

Equation=>x+x+1=59

2x=58

x=29

the numbers are 29 and 30

The function g(x) is a translation to the right of 3 units and up 2 units of f(x), so the correct option is B.

For a given function f(x), we can write a vertical translation of n units as:

g(x) = f(x) + n

And a horizontal translation of n units as:

g(x) = f(x + n).

Here we have:

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

g(x) = (2/3)*(x - 3) + 2

By comparing it with the general translations, we conclude that we have a traslation of 3 units to the right and 2 units up.

So the correct option is B.

If you want to learn more about translations:

https://brainly.com/question/24850937

#SPJ1

Step-by-step explanation:

Heavy Metal "music" impacts negatively the long term memory, if at least the ability to access it.

while harmonic music has no blocking effect or maybe even strengthens the long term memory and the ability to access it.

here 3 remarks.

first 2 scientifically from psychology : memory works mostly associative. that means brains do not store absolute information like a digital computer, but always in combination and association with other pieces of information. if there is nothing else to remember (like a more or less random pattern of sound effects for that the brain cannot find a rule or concept for), there are no associations with presented pieces of information, and the storage and access to it is much harder and restricted.

and - loud crashing and seemingly random noise triggers the panic mode in our brains. and panic is the mode favoring pure instinct and suppressing cognitive functions.

and finally, personally, it just confirms what I literally feel when listening to such music : it destroys at that moment any ability to keep a straight thought, prolonged exposure gives me the feeling that something gets broken inside my brain and thought processes.

I suspect that this is exactly the feeling that the fans of this kind of music are after (kind of like most drugs), but I am not surprised that there actually is something broken in the brain (again, as with drugs).

Answer:

h = x² - 2x - 35

Step-by-step explanation:

Making the factors :

It mentions the zeros are 7 and -5.

Then, the factors are :

⇒ (x - 7)

⇒ (x + 5)

===========================================================

The quadratic function will be :

⇒ h = (x - 7)(x + 5)

⇒ h = x² - 2x - 35

Answer:

1/4

Step-by-step explanation:

1 hour 15 minutes = 75 minutes

25 mins + 75mins = 100 minutes

25/100 minutes x 100 = 25%

25% = 1/4 of the time was spent reading.

Polynomial is an expression that consists of indeterminates(variable) and coefficients. The power function of the energy is e=mc².

Polynomial is an expression that consists of indeterminates(variable) and coefficient, it involves mathematical operations such as addition, subtraction, multiplication, etc, and non-negative integer exponentials.

The power function is a polynomial. Given the energy, e, produced in a nuclear reaction is proportional to the mass, m. Therefore, we can write,

e ∝ m

To remove proportionality we need to add a constant of variation which is c², the square of the speed of light

e = m c²

Hence, the power function of the energy is e=mc².

Learn more about Polynomial:

https://brainly.com/question/17822016

#SPJ1

Answer:

Its is already an impoper fraction.

Answer:

If I am not mistaking it should be -7.5

Step-by-step explanation:

Answer:

  b = -15/2

  y = -3x -15/2

Step-by-step explanation:

The value of the y-intercept can be found from a point and the slope of the line by solving the slope-intercept equation for the intercept.

__

  y = mx + b . . . . . . . equation of a line with slope m and y-intercept b

  y -mx = b . . . . . . . . subtract mx from both sides

For the point (x, y) = (-2, -3/2) and slope m = -3, the value of b is ...

  b = -3/2 -(-3)(-2) = -3/2 -6

  b = -15/2 . . . . . the value of b for this line

__

Then the equation for the line is ...

  y = mx +b

  y = -3x -15/2

By using the ratio, we will see that angle C measures 36° and angle D measures 54°.

First, two angles are complementary if the sum of their measures gives 90°.

So we have:

C + D = 90°.

Also, we know that the ratio of C to D is 2:3

This means that we can divide the 90° in 5 parts (3 + 2 = 5) such that 2 of these parts are angle C, and the remaining 3 are angle D.

90°/5 = 18°

C = 2*18° = 36°

D = 3*18° = 54°

These are the measures of the angles.

If you want to learn more about angles:

https://brainly.com/question/16281260

#SPJ1

Answer:

b is the odd one out

Step-by-step explanation:

30/70= .428

12/30= .4

9/21= .428

6/14= .428

all are equal except 12/30

hope this helped!

Answer:

[tex]\frac{4}{5}[/tex]x-2=x

[tex]\frac{4x}{5}[/tex]-2=x

[tex]\frac{4x}{5}[/tex]+[tex]\frac{5(-2)}{5}[/tex]=x

[tex]\frac{4x+5(-2)}{5}=x[/tex]

x= -10

Step-by-step explanation:

Answer:

408 cm^3

Step-by-step explanation:

You have to find the volume of each object individually. You first find the volume of the sphere, so you input the radius, which is 3, into the equation which comes out to be 108 cm^3. You then have to find the volume of the cylinder, and since you have the diameter of the cylinder, and you need the radius, and the radius is half of the diameter, you would input 5 into the equation as the radius, since half of 10 is 5. That comes out to be 300 cm^3, so then you add the two volumes together, which is 408 cm^3

Answer:

C. d=15t

Step-by-step explanation:

it is C because you get the equivalent from the t and that t is the number 1 so 15×1 is 15

More information:

I hope this is able to help you, please feel free to give feedback if necessary :)

The distance between the two points. (-1, 6). (2.8) is 3.61 units

The points are given as: (-1,6) and (2,8)

The distance is calculated using:

[tex]d = \sqrt{(x_2 -x_1)^2 + (y_2 -y_1)^2}[/tex]

This gives

[tex]d = \sqrt{(-1 -2)^2 + (6 -8)^2}[/tex]

Evaluate the sum of squares

[tex]d = \sqrt{13}[/tex]

Evaluate the exponent

d = 3.61

Hence, the distance between the two points. (-1, 6). (2.8) is 3.61 units

Read more about distance at:

https://brainly.com/question/7243416

#SPJ1

The number of incorrect answers made by Radhika is 8;  the number of incorrect answers made by Mohini = 13

We are given;

Marks obtained for 1 right answer = +3

Marks obtained for 1 wrong answer = −2

(i) Marks scored by Radhika = 20

Marks obtained for 12 correct answers = 12 × 3 = 36

Marks obtained for incorrect answers = Total score − Marks obtained for 12 correct answers = 20 − 36 = −16

Marks obtained for 1 wrong answer = −2

Thus, number of incorrect answers = (−16) ÷(−2) = 8

Therefore, the number of incorrect answers made by Radhika = 8

(ii) Marks scored by Mohini = −5

Marks obtained for 7 correct answers = 7 × 3 = 21

Marks obtained for incorrect answers = Total score − Marks obtained for 12 correct answers = − 5 − 21 = −26

Marks obtained for 1 wrong answer = −2

Thus, number of incorrect answers = (−26) ÷ (−2) = 13

So, the number of incorrect answers made by Mohini = 13

Read more about Algebra word problems at; https://brainly.com/question/21405634

#SPJ1

Let's solve this problem step-by-step:

  ⇒ with our knowledge of PEMDAS

     ⇒ (look at the image attached)

Let's solve:

              [tex]\frac{9}n}+4 = > \frac{9}{-3}+4[/tex]

              [tex]\frac{9}{-3}+4=-3+4[/tex]

             [tex]-3+4=1[/tex]

Answer: 1

Hope that helps!

Step-by-step explanation:

they are independent systems, so in case of an emergency both systems will activate.

this is like rolling 2 dice and asking for the probability that both will show 1.

the probability that both will fail is the product of the individual probabilities for failure :

0.01 × 0.03 = 0.0003

so, the third answer option is correct.

FYI - the probability for 2 dice to both roll 1 is

1/6 × 1/6 = 1/36

Answer: 31

Step-by-step explanation:

Assuming this is a rhombus, then the diagonals are perpendicular, meaning angle MQN measures 90 degrees.

Now, if we consider triangle MNQ, we know that angles in a triangle add to 180 degrees, meaning NMQ measures 31 degrees.