Solve the equation.
2(3x + 8) = - 36 +4

Answer:

\(5*\frac{1}{2}\)

Step-by-step explanation:

We have a picture and are being asked to identify the multiplication problem that represents it.

So we have 5 triangles, all of which are color-coded in red, but only half of them are filled. When multiplying, the number that is before the * sign is the amount there is, while the number that is after the * is the amount going to multiply the amount of items there are. So looking at the picture, we can see 5 triangles, therefore :

5 *

2 * 1/5 is scratched out as an answer. As is starts with 2.

As for the second number, we acknowledge that all triangles are half in red, therefore the number is 1/2.

5 * 1/2

Scratching all other answers.

Answer:

958.99

Step-by-step explanation:

Since the nine is bigger than four, you'd make the eight a nine.

For further help I suggest this website:

https://www.varsitytutors.com/hotmath/hotmath_help/topics/rounding-decimals

Answer:

Step-by-step explanation:

Distribute the negative sign to turn the equation into pure addition. Then, change the denominator of the two fractions to the same thing.

Multiply 12/11 by 3/3

\(\frac{12}{11}*\frac{3}{3}=\frac{36}{33}\)

Multiply 2/3 by 11/11

\(\frac{2}{3}*\frac{11}{11} =\frac{22}{33}\)

Add them together now

\(\frac{36}{33} +\frac{22}{33} =\frac{58}{33}\)

Answer:

1.758 Hope this helps :,D haven't spoken to u in a it tho- want to rp?

Step-by-step explanation:

The decibel value of the noise is 50 db.

What is meaning of intensity of sound?

The quantity of energy going across a unit area in a unit time in a direction that is opposite to the direction of the sound waves.

The unit that used to calculate intensity of sound is decibel.

Given equation that represents the relation between intensity of sound and the ratio of the sound to the human hearing threshold is

db = 10 log i

Where i = the ratio of the sound to the human hearing threshold.

Putting i = 100,000 in the given equation:

db = 10 log 100,000

Replace 100,000 by 10⁵ :

db = 10 log 10⁵

Applying the formula of logarithm log 10^{a} = a:

db = 10 × 5

db = 50

To learn more about human hearing threshold, click on below link:

https://brainly.com/question/19920717

#SPJ4

The equation representing the context if 'a' represents how much each bag of potatoes costs is 7a + 6.27 = 46.31.

An equation is written in the form of variables and constants separated by the operation of multiplication and division,

An equation states that terms in different forms on both sides of the equality sign are equal.

Multiplication and division do not separate the terms of an equation.

Let, The number of bags of potatoes Jayden bought be 'a'.

Therefore, From the given information the equation can be formed as,

7a + 6.27 = 46.31.

learn more about equations here :

https://brainly.com/question/29657983

#SPJ1

The first quartile Q1 is 19, and the third quartile Q3 is 40.

To find the first and third quartiles for the given data set: 40, 34, 147, 32, 27, 9, 14, 19, 29, 30, 44.

First, we need to arrange the data in ascending order: 9, 14, 19, 27, 29, 30, 32, 34, 40, 44, 147.

Now, we can calculate the first quartile (Q1) and the third quartile (Q3).

Q1 represents the value below which 25% of the data falls, and Q3 represents the value below which 75% of the data falls.

Since we have 11 data points in our set, Q1 corresponds to the value at the (11 + 1) \(\times\) (1/4) = 3rd position.

From the arranged data set, the value at the 3rd position is 19.

Therefore, the first quartile Q1 is 19.

Similarly, Q3 corresponds to the value at the (11 + 1) \(\times\) (3/4) = 9th position.

From the arranged data set, the value at the 9th position is 40. Therefore, the third quartile Q3 is 40.

For similar question on first quartile.

https://brainly.com/question/28168026

#SPJ8

a. The linear approximation of f(x, y) at (3, -1) is L(x, y) = -3x - 8y + 1.

The estimated value of f(2.9, -0.98) using the linear approximation is approximately -8.92.

To find the linear approximation of the function \(f(x, y) = -3x + 4y^2\)at the point (3, -1), we need to use the formula:

L(x, y) = f(a, b) + fx(a, b)(x - a) + fy(a, b)(y - b)

where a = 3, b = -1, fx(a, b) is the partial derivative of f with respect to x evaluated at (a, b), and fy(a, b) is the partial derivative of f with respect to y evaluated at (a, b).

First, let's find the partial derivatives:

fx(x, y) = -3

fy(x, y) = 8y

Evaluate the partial derivatives at (a, b) = (3, -1):

fx(3, -1) = -3

fy(3, -1) = 8(-1) = -8

Now we can plug in the values into the linear approximation formula:

L(x, y) = f(a, b) + fx(a, b)(x - a) + fy(a, b)(y - b)

L(x, y) = f(3, -1) + (-3)(x - 3) + (-8)(y + 1)

L(x, y) = -3(3) + 4(-1)^2 + (-3)(x) + (-8)(y + 1)

L(x, y) = -3x - 8y + 1

Therefore, the linear approximation of f(x, y) at (3, -1) is L(x, y)

= -3x - 8y + 1.

To estimate f(2.9, -0.98), we can plug in these values into the linear approximation:

L(2.9, -0.98) = -3(2.9) - 8(-0.98) + 1

L(2.9, -0.98) = -8.92.

For similar question on function.

https://brainly.com/question/18102431

#SPJ11

Answer:

Step-by-step explanation:  Hello!

I don't remember all of the postulates to these, but I hope this will help you! Vertical angles are congruent, so both angles SRT and PRQ are congruent.  This also means that line segments PQ and ST are congruent.  You also know that angles Q and S are congruent which is given.  By the ASA Theorem, when two angles and a side are congruent, then the triangles are congruent.

Answer:

-4

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

the order of letter should resemble the same shape

Answer:

√(209)

Step-by-step explanation:

Since <B is a right angle, AC is the hypotenuse and AB and BC are legs.

(AB)² + (BC)² = (AC)²

(4 mm)² + (BC)² = (15 mm)²

16 mm² + (BC)² = 225 mm²

(BC)² = 209 mm²

BC = √(209) mm

Answer:

8(3y + 2) = 8 * 3y + 8 * 2 = 24y + 16

Step-by-step explanation:

The outer rectangle has width 8 and length 3y + 2.

The area of the outer rectangle is length times width or width times length, so the area is 8(3y + 2).

We can also find the area by finding the area of each small rectangle, and adding the areas together.

The left small rectangle has dimensions 8 and 3y.

A1 = WL = 8 * 3y = 24y

The right small rectangle has dimensions 8 and 2.

A2 = WL = 8 * 2 = 16

The total area of both small rectangles is 24y + 16

That tells use that

8(3y + 2) = 8 * 3y + 8 * 2 = 24y + 16

This is the distributive property at work.

The answers, rounded to the appropriate number of significant figures, are as follows:

(a) 1.088 ×\(10^2\)

(b) 2.132

(c) 1.3331 ×\(10^1\) and

(d) 1.05.

Let's calculate the answers to the given operations using the appropriate number of significant figures.

(a) 8.370×1.3×10

To perform this multiplication, we multiply the decimal numbers and add the exponents of 10:

8.370 × 1.3 × 10 = 10.881 × 10 = 1.0881 × \(10^2\)

Since the original numbers have four significant figures, we round the final answer to four significant figures:

1.088 × \(10^2\)

(b) 4.265/2.0

For division, we divide the decimal numbers:

4.265 ÷ 2.0 = 2.1325

Since both numbers have four significant figures, the answer should be rounded to four significant figures:

2.132

(c) (1.2588×\(10^3\))×(1.06×\(10^-^2\))

To multiply these numbers, we multiply the decimal numbers and add the exponents:

(1.2588 × \(10^3\)) × (1.06 × \(10^-^2\)) = 1.333128 × \(10^1\)

Since the original numbers have five significant figures, we round the final answer to five significant figures:

1.3331 × \(10^1\)

(d) \((1.11)^(^1^/^2^)\)

To calculate the square root, we raise the number to the power of 1/2:

\((1.11)^(^1^/^2^)\)= 1.0524

Since the original number has three significant figures, the answer should be rounded to three significant figures:

1.05

It's important to note that the significant figures in a result are determined by the original data and the operations performed. The final answers provided above reflect the appropriate number of significant figures based on the given information and the rules for significant figures.

For more such information on: significant figures

https://brainly.com/question/30169

#SPJ8

Answer:

A

Step-by-step explanation:

suppose that x is a normal random variable with a mean of 5. if p{x > 9} = .2, So, the approximate variance of the normal random variable X is 22.66.

To find the variance of a normal random variable X with mean 5 and given P(X > 9) = 0.2, we will follow these steps:

1. Recognize that X follows a normal distribution: X ~ N(μ, σ²), where μ = 5 and σ² is the variance we want to find.

2. Convert the probability statement P(X > 9) = 0.2 to a standard normal distribution (Z) by finding the corresponding Z-score:
  Z = (X - μ) / σ

3. Look up the Z-score that corresponds to the given probability (0.2) in a standard normal (Z) table. Since the table typically gives P(Z < z), we'll find P(Z < z) = 1 - 0.2 = 0.8. The corresponding Z-score is approximately 0.84.

4. Plug in the known values and solve for σ:
  0.84 = (9 - 5) / σ
  σ ≈ 4 / 0.84
  σ ≈ 4.76

5. Finally, find the variance, which is σ²:
  σ² ≈ 4.76²
  σ² ≈ 22.66

So, the approximate variance of the normal random variable X is 22.66.

to learn more about random variables click here:

https://brainly.com/question/14346379

#SPJ11

The approximate variance of the normal random variable X is the square of the standard deviation:

Var(X) ≈ \((4.76)^2\) ≈ 22.65 (rounded to two decimal places).

To approximate the variance of the normal random variable X with a mean of 5, given that P(X > 9) = 0.2, we can use the z-score and standard normal distribution.

First, we calculate the z-score using the standard normal distribution formula:

z = (X - μ) / σ

where X is the value of interest (in this case, 9), μ is the mean (5), and σ is the standard deviation.

Plugging in the values, we get:

z = (9 - 5) / σ = 4 / σ

Next, we use the standard normal distribution table or a calculator to find the z-score that corresponds to a cumulative probability of 0.2. Let's assume that z = -0.84.

Now, we can use the z-score formula to solve for the standard deviation σ:

-0.84 = 4 / σ

Cross-multiplying, we get:

-0.84σ = 4

Dividing both sides by -0.84, we get:

σ ≈ 4 / -0.84 ≈ -4.76

Since the standard deviation cannot be negative, we discard the negative value and take the absolute value, resulting in:

σ ≈ 4.76

Learn more about “ normal random variable “ visit here;

https://brainly.com/question/14782203

#SPJ4

Answer:

$12.83

Step-by-step explanation:

Add the items before tax.

$6.95+$3.25+$1.79 = $11.99

Use the Percent Equation listed below.

Part = Percent × Base

Part = 107% × $11.99

Part = $12.8293

Round your answer to the nearest cent.

$12.8293 = $12.83

Answer:

522,761 baseballs

Step-by-step explanation:

Number of baseball bats produced over the last 2 years = 357, 945

Number of little league baseballs produced over the last 2 years = 490,867

Number of major league baseballs produced over the last 2 years = 389,839

Total number of baseballs produced over the period = 490,867 + 389,839

                                                                                         = 880,706

Number of baseballs manufactured more than bats = 880,706 - 357945

                                                                                      = 522,761

There are 522,761 baseballs produced more than bats during the 2 years.

Answer:

(- 1, 4 ) is a solution to the equation

Step-by-step explanation:

Substitute x = - 1 and y = 4 into the left side of the equation and if the value obtained is equal to the right side then it is a solution

Given

3x + 8y = 29, then

3(- 1) + 8(4) = - 3 + 32 = 29 = right side

Thus (- 1, 4 ) is a solution of the equation

Answer:

Sine θ =  \(\frac{1}{2}\)

Cosine θ=\(\frac{\sqrt{3}}{2}\)

Tangent θ = \(\frac{\sqrt{3}}{3}\)

Step-by-step explanation:

The formulas for sine, cosine, and tangent of an angle θ in a right triangle:

\(\boxed{Sine = \frac{Opposite }{Hypotenuse}}\)

\(\boxed{Cosine =\frac{ Adjacent }{ Hypotenuse}}\)

\(\boxed{Tangent =\frac{ Opposite }{Adjacent}}\)

Opposite is the side of the triangle that is opposite the angle θ.

Adjacent is the side of the triangle that is adjacent to the angle θ.

Hypotenuse is the longest side of the triangle, opposite the right angle.

For Question:

In Triangle with respect to θ

Opposite=\(3\sqrt{3}\)

Adjacent=9

Hypotenuse=\(6\sqrt{3}\)

Now By using the Above Relation:

Sine θ =  \(\frac{3\sqrt{3}}{6\sqrt{3}}=\frac{1}{2}\)

Cosine θ=\(\frac{9}{6\sqrt{3}}=\frac{\sqrt{3}}{2}\)

Tangent θ = \(\frac{3\sqrt{3}}{9}=\frac{\sqrt{3}}{3}\)

Answer:

\(\sin \theta =\dfrac{1}{2}\)

\(\cos \theta=\dfrac{\sqrt{3}}{2}\)

\(\tan \theta=\dfrac{\sqrt{3}}{3}\)

Step-by-step explanation:

The given diagram shows a right triangle with an interior angle marked θ.

To find the sine, cosine, and tangent of θ, use the trigonometric ratios.

\(\boxed{\begin{minipage}{9.4 cm}\underline{Trigonometric ratios} \\\\$\sf \sin(\theta)=\dfrac{O}{H}\quad\cos(\theta)=\dfrac{A}{H}\quad\tan(\theta)=\dfrac{O}{A}$\\\\where:\\ \phantom{ww}$\bullet$ $\theta$ is the angle. \\ \phantom{ww}$\bullet$ $\sf O$ is the side opposite the angle. \\\phantom{ww}$\bullet$ $\sf A$ is the side adjacent the angle. \\\phantom{ww}$\bullet$ $\sf H$ is the hypotenuse (the side opposite the right angle). \\\end{minipage}}\)

Therefore:

\(\sin \theta =\dfrac{3\sqrt{3}}{6\sqrt{3}}=\dfrac{3}{6}=\dfrac{1}{2}\)

\(\cos \theta=\dfrac{9}{6\sqrt{3}}=\dfrac{9}{6\sqrt{3}}\cdot \dfrac{\sqrt{3}}{\sqrt{3}}=\dfrac{9\sqrt{3}}{18}=\dfrac{\sqrt{3}}{2}\)

\(\tan \theta=\dfrac{3\sqrt{3}}{9}=\dfrac{\sqrt{3}}{3}\)

Answer:

17

Step-by-step explanation:

A standard die has a 1/6 chance of rolling a 6.

Over 100 rolls, a 6 is likely rolled (1/6)*100 times.

100/6=16.66, approximately 17 times

Step-by-step explanation:

1. find P of semicircle

perimeter of a semicircle = pi×r+d

=3.14×5+10

=25.7

2.find P of rectangle

P=10×4=40cm

3. add P of semicircle and P of rectangle

25.7+40=65.7cm

The odds of the soccer player scoring a goal is 4. The correct option is (b).

The odds of an event happening can be calculated by dividing the number of successful outcomes by the number of unsuccessful outcomes.

In this case, the soccer player scored a goal 3 times out of 15 attempts.

The number of successful outcomes is 3 (goals scored), and the number of unsuccessful outcomes is 15 - 3 = 12 (failed attempts).

Therefore, the odds of the soccer player scoring a goal can be expressed as 3:12, which can be simplified to 1:4.

To match the given answer choices, we can rewrite the odds as a fraction by dividing both sides by the number of successful outcomes:

Odds = Successful outcomes : Unsuccessful outcomes

Odds = 3 : 12

Odds = 3/3 : 12/3

Odds = 1 : 4

So, the correct answer is option b. 4.

To know more about odds refer here:
https://brainly.com/question/30315635#

#SPJ11

Answer:

$36

Step-by-step explanation:

4.5 * 8 = 36

4 * 8 = 32

1/2 of an hour would be 1/2 of 8= 4

4+32 = $36

Answer:

29(!£6287&7&(&

Step-by-step explanation:

That's it ty

The statement "System analysts define an object's attributes during the systems design process" is true because  defining object attributes is an essential part of the systems design process to ensure that the system meets the desired functional requirements.

In systems design, objects are used to represent real-world entities that are relevant to the system being developed. These objects have attributes that describe their characteristics or properties, which are used to identify and manipulate them within the system. System analysts define these attributes during the systems design process to ensure that the system meets the desired functional requirements.

For example, in a library system, a book object may have attributes such as title, author, publisher, and ISBN. Defining these attributes helps ensure that the system can properly manage and retrieve books as needed. Object-oriented design is a popular approach to systems design that relies heavily on defining objects and their attributes.

Learn more about Object-oriented design here

brainly.com/question/28731103

#SPJ4

The flux of the vector field F(x, y, z) = (5xz, −5yz, 5xy + z) through the surface S of the box E = {(x, y, z) | 0 ≤ x ≤ 2, 0 ≤ y ≤ 3, 0 ≤ z ≤ 4}, oriented outward is -29/3.

The Divergence Theorem states that the outward flux of a vector field through a closed surface is equal to the volume integral of the divergence of the vector field over the enclosed region.

The given question is to compute the flux of the vector field F(x, y, z) = (5xz, −5yz, 5xy + z) through the surface S of the box

E = {(x, y, z) | 0 ≤ x ≤ 2, 0 ≤ y ≤ 3, 0 ≤ z ≤ 4}, oriented outward.

First, we find the divergence of the vector field.

Let F(x, y, z) = (P(x, y, z), Q(x, y, z), R(x, y, z)).

Then, the divergence of F is given by

div F= ∂P/∂x + ∂Q/∂y + ∂R/∂z.

For F(x, y, z) = (5xz, −5yz, 5xy + z),

we have

P(x, y, z) = 5xz, Q(x, y, z)

= -5yz, and R(x, y, z) = 5xy + z.

Then, ∂P/∂x = 5z, ∂Q/∂y = -5z, ∂R/∂z = 1.

The divergence of F is

div F = ∂P/∂x + ∂Q/∂y + ∂R/∂z

= 5z - 5z + 1

= 1.

Thus, we have the volume integral of the divergence of F over the box E as

∭E div F dV= ∫₀⁴∫₀³∫₀² 1 dx dy dz

= (2-0) (3-0) (4-0)

= 24.

The outward normal vector to the six faces of the box is (1, 0, 0), (-1, 0, 0), (0, 1, 0), (0, -1, 0), (0, 0, 1), and (0, 0, -1), respectively.

Since the surface S is closed, we only need to compute the flux through the five faces of the box, since the flux through the sixth face is equal to the negative of the sum of the fluxes through the other five faces.

Now, we need to find the surface area of each face of the box and the dot product of the vector field and the outward normal vector at each point on the surface.

Let's consider each face of the box one by one.

The flux through the first face x = 0 is given by

∫(0,3)×(0,4) F(0, y, z) ⋅ (-1, 0, 0) dy dz

= ∫₀⁴∫₀³ (-5yz)(-1) dy dz

= ∫₀⁴ (15y) dz

= 60.

The flux through the second face x = 2 is given by

∫(0,3)×(0,4) F(2, y, z) ⋅ (1, 0, 0) dy dz

= ∫₀⁴∫₀³ (10z - 10yz) dy dz

= ∫₀⁴ (15z - 5z²) dz

= 100/3.

The flux through the third face y = 0 is given by

∫(0,2)×(0,4) F(x, 0, z) ⋅ (0, -1, 0) dx dz

= ∫₀⁴∫₀² (0)(-1) dx dz= 0.

The flux through the fourth face y = 3 is given by

∫(0,2)×(0,4) F(x, 3, z) ⋅ (0, 1, 0) dx dz

= ∫₀⁴∫₀² (-15x)(1) dx dz

= -60.

The flux through the fifth face z = 0 is given by

∫(0,2)×(0,3) F(x, y, 0) ⋅ (0, 0, -1) dx dy

= ∫₀³∫₀² (-5xy)(-1) dx dy

= -15.

The flux through the sixth face z = 4 is given by -

∫(0,2)×(0,3) F(x, y, 4) ⋅ (0, 0, 1) dx dy

= -∫₀³∫₀² (5xy + 4)(1) dx dy

= -116/3.

The total outward flux of F through the surface S is the sum of the fluxes through the five faces of the box as follows

∑Flux = 60 + 100/3 + 0 - 60 - 15 - 116/3

= -29/3.

Know more about the Divergence Theorem

https://brainly.com/question/17177764

#SPJ11

By using the compound interest model, the initial deposit required to receive $ 5 000 every 6 months is $ 125 000.

In this problem we must apply the compound interest model, which represent a periodic accumulation of interest according to the following formula:

C' = C · (1 + r/100)ˣ     (1)

Where:

If we know that x = 1, r = 4, C = x and C' = x + 5 000, then the initial deposit is:

x + 5 000 = x · (1 + 4/100)

x + 5 000 = 1.04 · x

0.04 · x = 5 000

x = 125 000

By using the compound interest model, the initial deposit required to receive $ 5 000 every 6 months is $ 125 000.

To learn more on compound interest: https://brainly.com/question/14295570

#SPJ1