Solve for x 4(x+9)= 3(2x - 7)​

Answer:

A(t)  =  27.86 in²

Dimensions of the paper:

L =  3.73 in

w = 7.47 in

Step-by-step explanation:

The total area of a rectangular page  A  = ( x + 2)* (y + 4 )         x  is the length and  y the wide. x  and  y  are the dimensions of the print area

The print area of the paper is  A =  6 in²       6 = x*y     y  =  6/x

Then print area as a function of x is

A(x)  =  ( x + 2 ) * ( 6/x + 4 )    ⇒  A(x)  =  6  +  4*x  + 12/x + 8

Taking derivatives on both sides of the equation:

A´(x)  =  4  - 12/x²        A´(x)  =  0     4  =  12 /x²

x²  = 12/4       x =√3    x  =  1.73  in  and   y  =  6 / 1.73

y  =  3.47 in

Then the dimensions of the paper  are.

Length  L =  x  + 2  = 3.73 in      and   w  =  3.47 + 4  = 7.47 in

And the least amount of paper is

A(t)  =  3.73* 7.47  =  27.86 in²

To find out if x = 1.73 is an x coordinate for a minimum we get the second derivative

A´´(x)  =  24/x³    is always positive   A´´(x) > 0  then we have a minimum for A at  x = 1.73

The value of x in this problem, considering the intersecting chords, is given as follows:

x = 10.

A chord of a circle is a straight line segment that connects two points on the circle, that is, it is a line segment whose endpoints are on the circumference of a circle.

When two chords intersect each other, then the products of the measures of the segments of the chords are equal.

Hence the value of x is obtained as follows:

12x = 15 x 8

12x = 120

x = 10.

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The volumes of the prisms are :- 1) 11760 units³, 2) 7938 units³, 3) 9261 units³, 4) 22800 unit³, 5) 11781 units³, 6) 38936 units³, 7) 23125 units³, 8) 26208 units³ and 9) 14688 units³

A prism is a solid shape that is bound on all its sides by plane faces.

Given are prisms, we need to find their volumes :-

Volume = area of base × height

1) Base is a rectangle, area = length × width, height = 24

Volume = 24·14·35 = 11760 units³

2) Base is a rectangle, area = length × width, height = 21

Volume = 21·14·27 = 7938 units³

3) This is a cube, with side 21 units

Volume of cube = side³ = 9261 units³

4) This is a trapezoidal prism,

Volume = 1/2(b1+b2) × height × length = 1/2(36+24) × 38 × 20

= 22800 unit³

5) This is a triangular prism,

Volume = 1/2 × height × length × base

= 1/2 × 33 × 34 × 21 = 11781 units³

6) This is a cylinder,

Base is circular, volume = π·radius²·height

= 3.14·20·20·31 = 38936 units³

7) Base is a rectangle, area = length × width, height = 37

Volume = 25·37·25 = 23125 units³

8) Base is a rectangle, area = length × width, height = 28

Volume = 39·24·28 = 26208 units³

9) Base is a rectangle, area = length × width, height = 36

Volume = 36·24·17 = 14688 units³

Hence, the volumes of the prisms are :- 1) 11760 units³, 2) 7938 units³, 3) 9261 units³, 4) 22800 unit³, 5) 11781 units³, 6) 38936 units³, 7) 23125 units³, 8) 26208 units³ and 9) 14688 units³

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Answer:

Angle A = tan^-1(11/5)
Angle C = 90 - tan^-1(11/5)
AC = sqrt(146)

Step-by-step explanation:

As this is a right triangle, we can apply the Pythagorean theorem a^2 + b^2 = c^2, where c is the hypotenuse while a and b are the legs, to solve for AC.

11^2 + 5^2 = AC^2

121 + 25 = AC^2

146 = AC^2

sqrt(146) = AC^2

Next, to find angle A, we can use one of the trigonometric functions. Let’s use tangent for simplicity. Tangent of an angle is “opposite divided by adjacent”. If we set the angle to A, opposite is side BC and the adjacent is side AB. Thus, tan(A) = 11/5 and tan^-1(11/5) = A.
Since the sum of angles in a triangle is 180, we can find angle C by setting up this equation: C = 180 - 90 - tan^-1(11/5), which is 90 - tan^-1(11/5)

Answer:

B ignore bottom

Step-by-step explanation:

Your answer should be written in paragraph/essay format.

Any sources used should be cited at the bottom of your paper.

All answers should show you have learned something from Unit 9.  Material from other units will not be graded for this assignment.

If you are stuck, you can think about the following topics: textile mills, interchangeable parts, the Lowell System, unions, labor reform, steamboats, railroads, coal, the telegraph, and/or new inventions.

Answer:

Draw a dashed line to represent the graph of 5x + 10y = 1500 and shade the portion below the line for positive values of x and y.

Step-by-step explanation:

This is the answer I can confirm that this is true rather than,"WhAt TyPe Of MaThEmAtIcS iS tHis?"

In the unit rate between two units, the denominator is always one.

It is the quantity of an amount of something at a rate of one of another quantity.

In 2 hours, a man can walk for 6 miles

In 1 hour, a man will walk for 3 miles.

We have,

Unit rate is written in a fraction form where the denominator is always one.

Example:

6 miles in 3 minutes.

This can be written as,

6 miles = 3 minutes

Dividing 3 on both sides.

2 miles = 1 minute

= 2 miles per minute

Thus,

In the unit rate between two units, the denominator is always one.

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Answer:

The question is not complete

Answer:

The answer is only 2 because even numbers are divisible by 2, also 2 is a prime number.

Answer:

Z

Step-by-step explanation:

Answer:

beep bop skedoo bep

Step-by-step explanation:

beep bop ske-doo. bep

Answer:

3 1/2

Step-by-step explanation:

( 1 + 1 ) ( 2/3 + 5/6 )

2 + 3/2

2 + 1 1/2

= 3 1/2

Hope this helps dude

Answer: 52.1

Step-by-step explanation:

\cos F = \frac{\text{adjacent}}{\text{hypotenuse}}=\frac{x}{57}

cosF=

hypotenuse

adjacent

​

=

57

x

​

\cos 24=\frac{x}{57}

cos24=

57

x

​

57\cos 24=x

57cos24=x

Cross multiply.

x=52.0721\approx \mathbf{52.1}\text{ feet}

x=52.0721≈52.1 feet

Answer:

-25

Step-by-step explanation:

Whenever you owe something, you are in debt. Before she deposited 35 dollars her bank account had $-60.

-60+35=-25

X varies directly as y , that x = 9 when y = 3,the value of x when y = 12 by  the constant of Variation , value of x is 36.

X  varies directly as y, it means that there is a constant ratio between x and y. We can express this relationship using the formula:

x = ky

where k is the constant of variation.

To find the value of k, we can use the given information that x = 9 when y = 3. Substituting these values into the formula, we have:

9 = k * 3

Solving for k, we divide both sides of the equation by 3:

k = 9/3

k = 3

Now that we have the value of k, we can find x when y = 12 by substituting it into the formula:

x = 3 * 12

x = 36

Therefore, when y = 12, the corresponding value of x is 36.

if x varies directly as y and we are given that x = 9 when y = 3, we can find the value of x when y = 12 by determining the constant of variation (k) and using the formula x = ky. In this case, the constant of variation is 3, so when y = 12, x equals 36.

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The length of the arc defined by the central angle of 312 degrees is 26π cm.

The formula for the arc length of a circle is given by:

L = (θ/360) × 2πr

where L is the length of the arc, θ is the central angle in degrees, and r is the radius of the circle.

Substituting the given values, we get:

L = (312/360) × 2π(30)

L = (26/30) × π × 30

L = 26π cm

Therefore, the length of the arc defined by the central angle of 312 degrees is 26π cm.

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Answer:

28.77

Step-by-step explanation:

61/212 *100

= 6100/212

= 28.773   which is 27.33 rounded to the nearest hundredth

Answer:

0.29

Step-by-step explanation:

61/212 = 0.2877358490566038

The hundredth place is where the "8" is at after the decimal ( the one that is in bold)

4 or less, let it rest, 5 or more, let it sore

The number after the "8", is "7", since "7" is greater than 4 "5 or more let is sore", we can convert the "8" into a "9" which means that the numbers after the hundredths place wont exist no more....

0.29 will be your answer

Hope this helped!

Have a supercalifragilisticexpialidocious day!

so here we get two outcomes one is 2 and other is 4.

so there is total 2 outcomes.

total no. of possibility is 5

so the probability of waiting between 2 and 4 minutes to use the ATM is 2/5.

Answer:

14 and 15

Step-by-step explanation:

\(196<201<225 \\ \\ \sqrt{196}<\sqrt{201}<\sqrt{225} \\ \\ 14<\sqrt{201}<15\)

Answer:

Eleanor and Peter's total income

= $597.63

Step-by-step explanation:

Eleanor's Income:

Paycheck = $380.48

Eleanor's Expenses:

Birthday gift= $16.50

Peter's income

Paycheck = $120

Sales of his college textbook = $13.65

Check from Peter's father= $100

Peter's total income =Paycheck + Sales of his college textbook + Check from Peter's father

= $120 + $13.65 + $100

= $233.65

Eleanor and Peter's total income

= Eleanor's Income + Peter's total income - Eleanor's Expenses

= $233.65 + $380.48 - $16.50

= $597.63

Eleanor and Peter's total income

= $597.63

Answer:

product is right

Step-by-step explanation:

Work Shown:

4x + 13 ≥ 27

4x + 13-13 ≥ 27-13

4x ≥ 14

4x/4 ≥ 14/4

x ≥ 7/2

The inequality sign stays the same for each step. The inequality sign only flips if we were to multiply both sides by a negative number (or divide both sides by a negative number).

Note: 7/2 = 3.5

The percentage of the hotel rooms in the city which were occupied during the convention is 98%.

What is percentage?

A percentage is a piece of a whole expressed as a number between 0 to 100. Nothing is said to be zero percent; everything is said to be 100 percent; half of something is said to be 50 percent; and nothing is zero percent.

You divide the part of the whole by the whole and multiply the result by 100 to get the percentage.

As given in the question,

Number of hotel room occupied = 9,800

Number of hotel room unoccupied = 200

Total number of the rooms in city = 9800 + 200

Total number of the rooms in city = 10,000

To calculate the percentage we proceeds as follow:

(9800/10000)100 = 98%

Therefore, the percentage is 98%.

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Answer:

2 > x or x < 2

Step-by-step explanation:

-1 + 6(-1 - 3x) > -39 - 2x

-1 - 6 - 18x > -39 - 2x

-7 - 18x > -39 - 2x

32 > 16x

2 > x or x < 2

the reason that x < 2 is because of the negative sign. I solved it so that x stays positive but if you solve the equation with x on the other side like -16x > -32 then when you divide by -16 it changes to x < 2

PLEASE RATE!!! I hope this helps!!

(I have verified my answer on an online calculator)

Answer:

12 divided by 12 is 1

Step-by-step explanation:

A calculator helped me

Answer:

1

Step-by-step explanation:

cos

Answer:

What’s the question—— I could help and try to answer it!

Step-by-step explanation:

Answer:

I can try to answer it, but beware I'm a d.umbass lol

Answer:

The sequence is increasing by 5 at each step. So, we can write:

a1 = 30

a2 = 30 + 5 = 35

a3 = 30 + 25 = 40

a4 = 30 + 35 = 45

a5 = 30 + 4*5 = 50

We notice that the nth term is given by:

an = 30 + (n-1)5

So, the explicit formula for the nth term is:

an = 25n + 5

Answer:

36÷12=3

12×3=36

Length is 12

Width is 3