3x + x- 2x + 8 = 3x + x

Answer:

Step-by-step explanation:

Check the picture below.

so simply let's get the volume of the non-filled cylinder and add the glass weight.

\(\textit{volume of a cylinder}\\\\ V=\pi r^2 h~~ \begin{cases} r=radius\\ h=height\\[-0.5em] \hrulefill\\ r=1.5\\ h=5 \end{cases}\implies V=\pi (1.5)^2h\implies V=11.25\pi ~in^3 \\\\\\ \stackrel{\textit{weight of the water}}{11.25\pi \cdot 0.6}+\stackrel{\textit{glass weight}}{1.06}~\approx~\underset{oz}{36.40}\)

Answer:    8.3 or C  

Eplanation: This is because a half life is 50 percent of a normal life so 50 percent divided by 6 is 8.3

\(8.3\)% is the approximate decay rate of the element after the first day.

What is Radioactive decay ?

Radioactive decay is the process by which an unstable atomic nucleus loses energy by radiation. A material containing unstable nuclei is considered radioactive. Three of the most common types of decay are alpha decay, beta decay, and gamma decay, all of which involve emitting one or more particles.

What is decay rate?

The rate of decay, or activity, of a sample of a radioactive substance is the decrease in the number of radioactive nuclei per unit time.

According to question, a radioactive element has a half-life of six days.

A half- life is \(50\)% of a normal life.

So, the approximate decay rate of the element after the first day

\(=\frac{50}{6}\)% \(=8.3\)%

Hence, we can conclude that \(8.3\)% is the approximate decay rate of the element after the first day.

Learn more about decay rate  here:

https://brainly.com/question/22005704?referrer=searchResults

#SPJ2

\(101c - 5c + 4c = 100c \\ \\ 12q - 4 + 10q - 4q + 9 \\ 12q + 10q - 4q - 4 + 9 \\ 18q + 5 \\ \\ 21k - 20k + 3k = 4k \\ \\ 181x + 91x - 23x = 249x\)

Answer:

After examining the curve, it can be observed that there are three points where it turns or remains stationary. This indicates that the function is likely a quartic function that can be expressed in factored form as ax(x + b)(x + c)(x + d). By inspecting the curve, it can be determined that the function has three roots at x=-2, x=0, and x=1. Thus, the factors of the function will be x, (x+2), and (x-1).

Since a turning/stationary point touching the x-axis indicates a repeated root, it can be concluded that the root at x=1 is repeated. Therefore, the factors will be x, (x+2), and (x-1)^2.

As the quartic curve has an "n" shape, the leading coefficient of the function must be negative. The problem states that the leading coefficient is either positive or negative one, so the leading coefficient must be -1.

Thus, the equation for the function in factored form will be f(x)=-x(x+2)(x-1)^2

Answer:

Store A = 3.17

Store B = 3.25

Step-by-step explanation:

Hope this helps!

The rigid motion of the solid line figure is translated to the dotted line figure.

Translation describe a function that moves an object a certain distance.

In a translation, every point of the object must be moved in the same direction and for the same distance.

In translation, the object is not resized, rotated or reflected. The object usually remains the same but it moves a certain distance.

Therefore, the rigid motion maps the solid-line figure onto the dotted-line figure by translation

learn more on motion here:https://brainly.com/question/29166471

#SPJ1

Answer:

4x² + 30x - 2 = 0

Step-by-step explanation:

Given:

Area = 58 square feet

Width = 7 feet

Length = 8 feet

Since the area is 58, writing the equation, we have:

(8 + 2x)(7 + 2x) = 58

Now expand the equation:

56 + 16x + 14x + 4x² = 58

56 + 30x + 4x² = 58

Collect like terms:

30x + 4x² + 56 - 58 = 0

30x + 4x² - 2 = 0

Rearrange the equation to a proper quadratic equation:

4x² + 30x - 2 = 0

The quadratic equation that can be used to determine the thickness of the frame, x is 4x² + 30x - 2 = 0

To divide a mixed number by a fraction, we need to convert the mixed number into an improper fraction and then multiply it by the reciprocal of the fraction.

Step 1: Convert the mixed number to an improper fraction:

7 5/6 = (6 * 7 + 5) / 6 = 47/6

Step 2: Multiply the improper fraction by the reciprocal of the fraction:

47/6 ÷ 2/3 = 47/6 * 3/2

Step 3: Simplify the fraction if possible:

47/6 * 3/2 = (47 * 3) / (6 * 2) = 141/12

Step 4: Simplify the fraction further, if necessary:

141/12 can be simplified by dividing both the numerator and denominator by their greatest common divisor, which is 3:

141/12 = (141 ÷ 3) / (12 ÷ 3) = 47/4

Therefore, 7 5/6 ÷ 2/3 is equal to 47/4 or 11 3/4.

Answer:

Correct answer is \(C)\ 254\ m^{2}\)

Step-by-step explanation:

As per the given diagram, we know the following details:

Height of the triangular pyramid is 14m.

Side of base = 10m

Height of Triangular base = 8.7m

Formula for surface area of triangular pyramid:

\(\text{Area = Area of Triangular base + 3 }\times\text{Area of side triangle}\)

(Triangular base is shown in the dotted lines in the question figure.

The other 3 triangles are the side triangles.)

We know that,

\(\text{Area of a triangle = }\dfrac{1}{2} \times \text{Base} \times \text{Height}\)

\(\Rightarrow \text{Required Surface Area = } \dfrac{1}{2} \times 8.7 \times 10 + 3 \times \dfrac{1}{2} \times 14 \times 10\\\Rightarrow \dfrac{1}{2}\times (87 + 3 \times 140)\\\Rightarrow \dfrac{1}{2}\times (87 + 420)\\\Rightarrow \dfrac{1}{2} \times 507\\$\approx$ 254 m^{2}\)

Hence correct answer is \(C)\ 254\ m^{2}\).

The measure of dispersion that measures how much the data differ from the mean is called the standard deviation.

Standard deviation is a statistical measure of dispersion as opposed to the measure of central tendency like mean, median and mode.

The standard deviation is a measure of how spread out data values are around the mean.

It is defined as the square root of the variance and represented with the Greek letter σ.

Learn more about standard deviation at: https://brainly.com/question/16555520

#SPJ1

9514 1404 393

Answer:

  10π meters

Step-by-step explanation:

The circumference of the island is given by the formula ...

   C =  πd

where d represents the diameter of the circle.

Halfway around is half the circumference, so the distance the penguin swam is ...

  1/2C = (1/2)π(20 m) = 10π m

The penguin swam 10π meters.

Answer:

10pi

Step-by-step explanation:

The circumference of the island is given by the formula ...

  C =  πd

where d represents the diameter of the circle.

Halfway around is half the circumference, so the distance the penguin swam is ...

 1/2C = (1/2)π(20 m) = 10π m

The Product of 1 5/8, 2, and 3/5 is equal to 39/20, which is simplified completely. The answer is 39/20.

To find the product and simplify completely, you need to perform multiplication and simplify the resulting fraction. Here, we are multiplying the following fractions and mixed numbers:1, 5/8, 2, and 3/5.The first step is to convert the mixed numbers into improper fractions.

We do that by multiplying the whole number by the denominator, and then adding the numerator.For 1 5/8, we get:$$1 \frac{5}{8} = \frac{8}{8} \times 1 + \frac{5}{8} = \frac{13}{8}$$For 2, we get:$$2 = \frac{2}{1} = 2 \times \frac{1}{1} = \frac{2}{1}$$For 3/5, we leave it as is since it's already a fraction.

Now that we have all the numbers as fractions, we can multiply them:$$\frac{13}{8} \times \frac{2}{1} \times \frac{3}{5} = \frac{13 \times 2 \times 3}{8 \times 1 \times 5} = \frac{78}{40}$$

To simplify the fraction, we can divide both the numerator and denominator by their greatest common factor, which is 2:$$\frac{78}{40} = \frac{2 \times 39}{2 \times 20} = \frac{39}{20}$$

Therefore, the product of 1 5/8, 2, and 3/5 is equal to 39/20, which is simplified completely. The answer is 39/20.

For more questions on Product .

https://brainly.com/question/30404163

#SPJ8

Answer:

1.) n = - 5/2

2.) No solution

3.) n = - 2/5

Step-by-step explanation:

1.) n(- 2) = - 1 - (- 2) + 4

- 2n = - 1 + 2 + 4

- 2n = 5

n = - 5/2

2.) n(0) = - 1 - (0) + 4

0 = - 1 - 0 + 4

0 = 3

No solution

3.) n(5) = - 1 - (5) + 4

5n = - 1 - 5 + 4

5n = - 2

n = - 2/5

Answer:

The rate of interest may vary , totally depends on the market value of that agency or company or the financial agency which is providing the mortgage money at certain rate. So, option (B) the interest rate may change depending on the condition of the economy is true statement regarding adjustable rate mortgage.Step-by-step explanation: hope it helps

Answer:

A. 5

B. -5, 5

C. 5, 5

Step-by-step explanation:

A. |-6+(-1)| = 5

B. -6-(-1)=-6+1=-5

-1-(-6)=-1+6=5

C. |-6-(-1)|=|-6+1|=5

|-1-(-6)|=|-1+6|=5

EXPLANATION

Given that we make $512.92 by week and we work 36 hours, we can apply the unitary method in order.

In conclusion, the hourly rate is 14.25 dollars.

276x175=48300 apples

Answer:

325 Hamburgers.

Step-by-step explanation:

This may seem complicated at first due to us not knowing how much either hamburgers or cheeseburgers were sold, but we can easily set up an equation with variables and solve this using the numbers provided.

x = # of hamburgers sold.

x + 61 = # of cheeseburgers sold.

1) x + x + 61 = 711 (set both burgers equal to the total sold)

2) 2x + 61 = 711 (added common variables together)

3) 2x = 650 (negated the +61, subtracted it from both sides)

4) x = 325 (divided both sides by 2)

5) 711 - 325 = 386 (subtracted the x from the total number of burgers sold, to recieve the amount of cheeseburgers' tickets.

Thus,

Since there were fewer hamburgers sold, the smaller number (325) is the correct answer.

(Final Answer)

Cheeseburgers sold: 386

Hamburgers sold: 325

Total sold: 711

The required value of trigonometric ratios is,

sin 45° = 1/\(\sqrt{2}\)

cos 30 = \(\sqrt{3}\)/2

tan 60 = 1/  √3

We know that,

Trigonometric ratios are based on the value of the ratio of sides of a right-angled triangle and contain the values of all trigonometric functions. The trigonometric ratios of a given acute angle are the ratios of the sides of a right-angled triangle with respect to that angle.

Therefore,

sin 45° = 1/\(\sqrt{2}\)

cos 30 = \(\sqrt{3}\)/2

tan 60 = 1/  √3

To learn more about triangles visit:

brainly.com/question/1058720

#SPJ1

Answer:

860

Hope that helps!

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer: 9

Step-by-step explanation: a, ar, ar^2... a=7, ar=63. solving with substitution gives the common ratio of 9!

Answer:0.67

Step-by-step explanation:

Answer:

a) Heptagon

b) Pentagon

c) Octagon

d) Hexagon

The names of the polygon are :

1)  Heptagon

2) Pentagon

3) Octagon

4) Hexagon

Given,

Polygons figure.

Here,

The name of polygon is decided based on the number of sides present in it.

Now in the figures,

1) Number of sides : 7

Name = Heptagon

2) Number of sides : 5

Name : Pentagon

3) Number of sides : 8

Name : Octagon

4) Number of sides : 6

Name : Hexagon

Know more about polygons,

https://brainly.com/question/17756657

#SPJ2

Answer:

$620.7

Step-by-step explanation:

$5.15 × 38 = $195.7

$195.7 + $425.00 = $620.7

Answer:

8,081,101,531

Step-by-step explanation:

8,081,101,531