Solve step by step.
7x+4(4x-14)=59

Answer:

The answer Is 1/3(b-21)

Step-by-step explanation:

Answer:

9

Step-by-step explanation:

Answer:

f'(x) = 6/x

Step-by-step explanation:

1. Use logarithm rules to move the power to the front so ln(x)^6 becomes 6 ln(x).

2. Differentiate ln(x) which is always 1/x

3. multiply 1/x by the 6

6/x

Answer:

Step-by-step explanation:

Chords having equal measures are equidistant from the center of the circle.

Since, VW = XY

Therefore, ZP = ZR = 15 units

A perpendicular line drawn from the center of a circle to the chord is the bisector of the chord.

VR = WR = 20 units

By applying Pythagoras theorem in ΔZRV,

ZV² = ZR² + VR²

ZV² = (15)² + (20)²

ZV = √(225 + 400)

ZV = √625

ZV = 25 units

Therefore, measure of radius ZV = 25 units.

VW = XY [Given]

Therefore, XY = 2(20)

                        = 40 units

Answer:

x = 12

Step-by-step explanation:

We will label the unknown interior angle of the triangle d.

14x - 19 + d = 180

14x + d = 199

d = 199 - 14x

199 - 14x + 3x + 9x + 7 - 2 = 180

199 - 2x +5 = 180

204 - 2x = 180

204 = 180 + 2x

2x = 24

x = 12

Answer:

2

Step-by-step explanation:

5x + 4y = 8

5*0 + 4y = 8

y = 8/4

y=2

please show the answer choices

Answer:

14 weeks.

Step-by-step explanation:

160/12= 13.8

13 weeks earns her $158

14 weeks earns her $160. So the fewest number of weeks she needs is 14.

Answer:

a) 10 inches

b) 48 feet

Step-by-step explanation:

10 inches, 60/6 = 10

48 feet, 8*6 = 48

Answer:

698.52 Euro

Step-by-step explanation:

Answer:

68.47

Step-by-step explanation:

Given that:

The surface of the paraboloid [tex]z = 2(x^2 +y^2) \ for \ 0 \le z \le 8[/tex]

TO find the area of the given paraboloid, we need to first determine [tex]z_x \ and \ z_y[/tex].

This is because the surface area can be determined by using the formula:

[tex]\int \int _R \sqrt{z_x^2+z_y^2+ 1}\ dA[/tex]

Thus;

[tex]z_x = \dfrac{\partial }{\partial x}(2 ( x^2 +y^2) )[/tex]

[tex]z_x = 4x[/tex]

[tex]z_y = \dfrac{\partial }{\partial y }(2(x^2 +y^2))[/tex]

[tex]z_y = 4y[/tex]

Now;

[tex]\sqrt{z_x^2 + z_y^2 +1 } = \sqrt{(4x)^2 + (4y)^2+1 } \\ \\ \implies \sqrt{16x^2+16y^2+1}[/tex]

[tex]\implies \int \int \sqrt{16x^2 +16y^2+1}\ d x dy \\ \\ \implies \int \int \sqrt{16(x^2+y^2)+1 } \ dxdy[/tex]

Using the polar coordinate since the paraboloid shows the projection of a circle with [tex]x^2+y^2 =4[/tex]

[tex]\int \int \sqrt{16(x^2+y^2)+1 } \ dxdy = \int^{2 \pi}_{0} \ \int^{2}_{0} r \sqrt{16r^2+1} \ dr d\theta \\ \\ \implies \dfrac{1}{48} \Big ( ( 16r^2 +1 )^{\dfrac{3}{2}}\Big) ^2_0 \ \ \int ^{2 \pi}_{0} \ d \theta \\ \\ \implies \dfrac{2 \pi}{48} \Big ( (65^{\dfrac{3}{2}} -1 ) \Big) \\ \\ \implies \dfrac{2 \pi}{48}(523.046) \\ \\ \implies \mathbf{68. 47}[/tex]

he paid for 2 percent of the total cost of the car

Answer:

(-5,-3)

Step-by-step explanation:

The answer is (-5,-3)

Answer:

Yes.

Step-by-step explanation:

A rational number is a number that is a result when you divide two integers.

Answer:

-37 / 4

Step-by-step explanation:

Answer:

35%

Step-by-step explanation:

This is simple, just use the formula: Number1 / Number 2 x 100 when you use it it will look like: 56/160x100 which 56/100 is 0.35 and 0.35x100 is 35%

Answer:

150ft²

Step-by-step explanation:

surface area = (2×½×8×3)+(8+5+5)×7

= 24+126

= 159 ft²

Answer:

a. Semester 1: 86.8, Semester 2: 87

b. Semester 1: 5.7, Semester 2: 6.3

c. Semester 1 because the standard deviation of the first semester was lower than of the second. This shows that his scores were closer to the mean and therefore he was more consistent.

Step-by-step explanation: Find the mean by taking the sum of the values for each semester and divide that sum by the number of values to find the average. Do this for both semesters. Now, find the absolute value of the difference between the mean and each value of the corresponding data set. Square each if those differences and sum them up. Now divide that sum by the number of data values and take the square root. This number is your standard deviation. You will use the standard deviations to make the comparison for part c. I hope this makes sense and helps!!!!

Answer:

options?

Step-by-step explanation:

It would be any number that is less than 16 because starting with the original question:

x-6>10

By canceling out the -6:

x-6+6 > 10+6

x > 16

Answer:

Step-by-step explanation:

1600/4 .    5000/2 the adults is 400 and the children is 2500

Answer:

124 cm²

Step-by-step explanation:

Answer:

124

Step-by-step explanation:

Split it into 2 shapes. I chose 2 rectangles 6 by 14 and 5 by 8. then I just found those areas and added it together

Answer:

[tex]\sqrt[4]{768x^8y^5} = 4x^2y \sqrt[4]{3y}[/tex]

Step-by-step explanation:

Given

[tex]\sqrt[4]{768x^8y^5}[/tex]

Required

Simplify

We have:

[tex]\sqrt[4]{768x^8y^5}[/tex]

Expand 768

[tex]\sqrt[4]{768x^8y^5} = \sqrt[4]{256 * 3 * x^8y^5}[/tex]

Split

[tex]\sqrt[4]{768x^8y^5} = \sqrt[4]{256} * \sqrt[4]{3 * x^8y^5}[/tex]

[tex]\sqrt[4]{256} = 4[/tex]

So, we have:

[tex]\sqrt[4]{768x^8y^5} = 4* \sqrt[4]{3 * x^8y^5}[/tex]

Expand y^5

[tex]\sqrt[4]{768x^8y^5} = 4* \sqrt[4]{3 * x^8*y *y^4}[/tex]

Rewrite as:

[tex]\sqrt[4]{768x^8y^5} = 4* \sqrt[4]{3*y * x^8 *y^4}[/tex]

[tex]\sqrt[4]{768x^8y^5} = 4* \sqrt[4]{3y * x^8 *y^4}[/tex]

Split

[tex]\sqrt[4]{768x^8y^5} = 4* \sqrt[4]{3y} * \sqrt[4]{x^8 *y^4}[/tex]

Apply the following law of indices

[tex]\sqrt[a]{b} = b^\frac{1}{a}[/tex]

[tex]\sqrt[4]{768x^8y^5} = 4* \sqrt[4]{3y} * (x^8 *y^4)^\frac{1}{4}[/tex]

Expand

[tex]\sqrt[4]{768x^8y^5} = 4* \sqrt[4]{3y} * x^{8*\frac{1}{4}} *y^{4*\frac{1}{4}}[/tex]

[tex]\sqrt[4]{768x^8y^5} = 4* \sqrt[4]{3y} * x^2y[/tex]

Rewrite as:

[tex]\sqrt[4]{768x^8y^5} = 4* x^2y* \sqrt[4]{3y}[/tex]

[tex]\sqrt[4]{768x^8y^5} = 4x^2y \sqrt[4]{3y}[/tex]

Answer:

8.3 feet.

Step-by-step explanation:

Area = (h/2)(a + b)   where h = height and a and b are the lengths of the 2 bases.

70.55 = (h/2)(11.4 + 5.6)

(h/2)(17) = 70.55

h/2 = 70.55/17

h = (2 * 70.55) / 17

h = 8.3 feet.

Answer:

i donot know appp lado app

x= -1/2 is the answer to your question. Mark as brainliest!!!!

Answer:

(3d+3) + (3d+3)

Step-by-step explanation:

Answer:

−f(x)=2x+90f

Step-by-step explanation:

Answer:

x = 88

Step-by-step explanation:

Becuase this is a quadrilateral,  the opposite angles total 180 degrees. So, the opposite of x is 92. That would mean that x + 92 = 180. We subtract 92 from both non-variable sides to get the x by itself. 180 - 92 = 88. 92 - 92 = 0. this leaves us with X = 88

hope this helps