(3b + 5x)7 please help

Answer:

504ft3

Step-by-step explanation:

V=Bh

V=(18x2) 14

V=36x14

V= 504

Answer:

volume = height × length ×width

volume =18×14×2

volume =504ft³

9514 1404 393

Answer:

  59°

Step-by-step explanation:

The law of cosines tells you ...

  h² = f² +g² -2fg·cos(H)

Solving for angle H gives ...

  H = arccos((f² +g² -h²)/(2fg)) = arccos(725/1400) ≈ 58.811°

  ∠H ≈ 59°

Answer:

100

Step-by-step explanation:

it just is

Answer:

27 and 153 degrees

Step-by-step explanation:

Delta math

Answer:

y = 2x + 8

Hope this helps

Answer:

radius:19.73521 Diamiter:39.47042 Area:1223.583

Step-by-step explanation:

f(x) = x³ - 2x² - 24x

x³ - 2x² - 24x = 0

x(x² - 2x - 24) = 0

x = 0

x² - 2x - 24 = 0

a = 1, b = -2, c = -24

Delta = (-2)² - 4 * 1 * (-24) = 4 + 96 = 100

x = (-(-2) - 10)/(2 * 1) = -8/2 = -4

x = (-(-2) + 10)/(2 * 1) = 12/2 = 6

Answer: 2)

Answer:

5x-y=-6.............1

y=-7x+6...........2

substituting value of y in equation 1

5x-(-7x+6)=-6

5x+7x-6=-6

12x=0

x=0/12=0

substituting value of x in equation 1

5×0-y=-6

y=6

Answer:

x = -1

x + 2 = 1

x = 1 - 2

x = -1

Hope that helps!

-Sabrina

Step-by-step explanation:

Answer:

16.69°

Step-by-step explanation:

Given that,

Height of the building, h = 60 foot

Distance from the base of the building, b = 60 foot

We need to find the angle of elevation must the plane takes off in order to avoid crashing into the building. So,

[tex]\tan\theta=\dfrac{60}{200}\\\\\theta=\tan^{-1}\dfrac{60}{200}\\\\=16.69^{\circ}[/tex]

So, the required angle is 16.69°.

Answer:

Step 2: 4x - 6 = 10 + 2x

Step-by-step explanation:

2 needs to be distributed to all terms inside the parentheses.

Answer:

Step 2 is wrong, and the right step 2 is 4x − 6 = 10 + 2x

Step-by-step explanation:

The student didn't multiply 2(3) in step 2

Answer:

y=9x+7

Step-by-step explanation:

the number in front of x is always the slope and the number after it is the Y intercept where the line first crosses the Y axis

Answer:

Step-by-step explanation:

15-5

a-(-5)

a-(-b)

Answer:

1/12

Step-by-step explanation:

it is correct i know  it is

Answer: 1/5 is

Step-by-step explanation:

1/5 = 0.2

1/3 = 0.333

Answer:

y=4x+4

Step-by-step explanation:

It has the biggest slope of the equations of 4, and increases the most.

Answer:

[tex]y=-67.5[cos(\frac{\pi}{15}t)-1][/tex]

Step-by-step explanation:

We can start solving this problem by doing a drawing of London Eye. (See attached picture).

From the picture, we can see that the tourists will start at the lowest point of the trajectory, which means we can make use of a -cos function. So the function will have the following shape:

[tex]y=-Acos(\omega t)+b[/tex]

where:

A=amplitude

[tex]\omega[/tex] = angular speed.

t= time (in minutes)

b= vertical shift.

In this case:

A= radius = 67.5 m

[tex]\omega=2\pi f[/tex]

where the frequency is the number of revolutions it takes every minute, in this case:

[tex]f=\frac{1}{30} rev/min[/tex]

so:

[tex]\omega=2\pi (\frac{1}{30})[/tex]

[tex]\omega=\frac{\pi}{15} rad/min [/tex]

and

b= radius, so

b=A

b=67.5m

so we can now build our equation:

[tex]y=-67.5cos(\frac{\pi}{15} t)+67.5[/tex]

which can be factored to:

[tex]y=-67.5[cos(\frac{\pi}{15}t)-1][/tex]

You can see a graph of what the function looks like in the end on the attached picture.

The required sinusoidal equation is  [tex]y = -67.5 (cos\dfrac{\pi t}{15} -1)[/tex]

Given that,

It has a diameter of 135 meters and makes one revolution (counterclockwise) every 30 minutes.

It is constructed so that the lowest part of the Eye reaches ground level, enabling passengers to simply walk on to, and off of, the ride.

We have to find,

A sinusoidal  which models the height h of the passenger above the ground in meters t minutes after they board the Eye at ground level.

According to the question,

The tourists will start at the lowest point of the trajectory, which means we can make use of a -cos function. So the function will have the following shape:

[tex]y = -Acos(wt) + b[/tex]

Where,  A=amplitude ,  [tex]\omega[/tex] = angular speed, t= time (in minutes) , b= vertical shift.

Then,

[tex]Radius = \dfrac{diameter}{2}\\\\Radius = \dfrac{135}{2}\\\\Radius = 65.5m[/tex]

The frequency is the number of revolutions it takes every minute is determined by the formula is,

[tex]\omega = 2\pi f[/tex]

Where,

[tex]f = \dfrac{1}{30} revolution \ per \ minute[/tex]

Then,

[tex]\omega = 2\pi \times \dfrac{1}{30}\\\\\omega = \dfrac{\pi }{15}\ radian \ per\ minute[/tex]

Here, The sinusoidal equation can be written as;

[tex]y = -67.5cos\dfrac{\pi t}{15} + 67.5\\\\y = -67.5 (cos\dfrac{\pi t}{15} -1)[/tex]

Hence, The required sinusoidal equation is  [tex]y = -67.5 (cos\dfrac{\pi t}{15} -1)[/tex]

To know more about Frequency click the link given below.

https://brainly.com/question/9661952

Answer:

145.83 kilómetros.

Step-by-step explanation:

Si un conductor llena su tanque con $600 y recorre 250 kilómetros, para determinar cuántos kilómetros podrá recorrer con $350 de combustible se debe realizar el siguiente cálculo:

600 = 250

350 = X

350 x 250 / 600 = X

87,500 / 600 = X

145.83 = X

Así, con $350 de combustible se podrán recorrer 145.83 kilómetros.

Answer:

x = 3/2

Step-by-step explanation:

Step (1) :

We should put like term togther:

3x - x = 2 +1

2x = 3

Step (2) :

Divide bothe side by 2:

2x/2 = 3/2

x = 3/2

9514 1404 393

Answer:

  x ≈ 7.00

  y ≈ 12.21

Step-by-step explanation:

The mnemonic SOH CAH TOA is intended to remind you of the relationships ...

  Cos = Adjacent/Hypotenuse

  Tan = Opposite/Adjacent

__

Translated to the figure at hand, these are ...

  cos(35°) = 10/y   ⇒   y = 10/cos(35°) ≈ 12.21

  tan(35°) = x/10   ⇒   x = 10·tan(35°) ≈ 7.00

Answer:

.4

Step-by-step explanation:

52/ /4= 10.4

60/6=10

10.4-10=.4

Michela needs to increase her speed by 0.23 miles/hour to attain her goal.

The rate of change is the change of a quantity over 1 unit of another quantity.

Most of the time the rate of change is the change with respect to time.

For example the speed 3meter/second.

As per the given,

She runs 5 miles in 52 minutes.

5 miles in (52/60) hour

In 1 hour → 5(60/52) = 300/52 = 5.769

Her goal was 6 miles in 1 hour.

5.769 + x = 6

x = 0.23 miles/hour

Hence "Michela needs to increase her speed by 0.23 miles/hour to attain her goal".

To learn more about the rate of change here,

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Answer:

(B). 319

Step-by-step explanation:

[tex]\frac{42}{60}[/tex] = [tex]\frac{x}{456}[/tex]

[tex]\frac{7}{10}[/tex] = [tex]\frac{x}{456}[/tex]

x = [tex]\frac{7*456}{10}[/tex] ≈ 319

The best estimate of the number of those parents likely to support the new proposal is 319. So the option is (B) 319.

Firstly, there is proportional relationship.

Two values x  and  y are said to be in a proportional relationship if x=ky, where x and y are variables and k is a constant.

The constant k is called constant of proportionality.

Parents of students at a middle school were randomly selected to participate in a survey.

42 out of 60 parents who were surveyed support a proposal to buy new computers.

There are a total of 456 parents with students at the middle-school.

[tex]\dfrac{42}{60} = \dfrac{x}{456} \\\\\\x = \dfrac{42}{60} \times 456\\\\x = \dfrac{7}{10} \times 456\\\\x = 319[/tex]

Therefore, the best estimate of the number of those parents likely to support the new proposal is 319.

Learn more about directly inversely proportional relationship variable here:

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Answer:

y=-5x+6

Step-by-step explanation:

To find your slope (or m value), you must identify 2 points that your line crosses through (I used (1,1) and (0,6). You can either count up and over to the point (0,6) from (1,1), or you can use the formula y2-y1/x2-x1 (it would look like 6-1/0-1). This will give you -5 for your slope.

Your x-intercept (or b value) is 6 because you can see from the graph that that is where your line intercepts y.

I hope this helped :)

Answer:

8(4k-12)

Step-by-step explanation:

you can really only check and guess here and it happens to be the second choice 8(4k-12)

8(4k-12)

32k -96

The cost for each pound of trail mix is $1.5 and each pound of jelly beans is $3.5 .

The elimination method is the process of eliminating one of the variables in the system of linear equations using the addition or subtraction methods in conjunction with multiplication or division of coefficients of the variables.

According to the question

A store is having a sale on trail mix and jelly beans .

Let trail mix = T

and  jelly beans = J

For 5 pounds of trail mix and 3 pounds of jelly beans, the total cost is $18.

i.e

5T + 3J = 18 -------------------------- (1)

For 2 pounds of trail mix and 12 pounds of jelly beans, the total cost is $45.  

i.e

2T + 12J = 45 -------------------------------(2)

Now,

multiplying eq (1) from 4

20T + 12J = 72 -----------------(3)

Solving equation (3) and (2) the equation by elimination method

20T + 12J = 72 -----------------(3)

2T + 12J = 45  -------------------------(2)

subtracting equation (2) from (3)

18T = 27

T = 1.5

substituting the value of T in equation 1

5T + 3J = 18

5*1.5 + 3J = 18

7.5 + 3J = 18

3J = 18 - 7.5

3J = 10.5

J = 3.5

Hence, the cost for each pound of trail mix is $1.5 and each pound of jelly beans is $3.5 .

To know more about elimination method here:

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Answer:

Instead of adding the exponents of 2 to get four you should just leave the exponent as two in the final answer.

Answer:

true

Step-by-step explanation: