Add −1310+25 using the number line.

Select the location on the number line to plot the sum.

Answer:

could I get a picture plz

The simplified expression is x² + 2x - 15.

We are given a mathematical expression. The expression has two terms. The first term is (x + 5) and the second  term is (x - 3). The terms are multiplied by each other to obtain the final expression. Let the resulting expression be represented by the variable "E". The expression has been solved below.

E = (x + 5)(x - 3)

We will use the distributive property.

E = x*(x - 3) + 5*(x - 3)

E = x*x - x*3 + 5*x - 5*3

E = x² - 3x + 5x - 15

E = x² + 2x - 15

Hence, the expanded and simplified form of the given expression is x² + 2x - 15.

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According to the given problem statement,\(D = 2.00 x 10-4 m²/st = 0.2 x 10-3 cm²/s,\) the carbon diffusion depth is evaluated to be 0.4 mm and the gear requires a depth of 0.8 mm for the intended application.

We have to predict how long it will take for the same sample at the same processing temperature to reach the target carbon diffusion depth,
x = 0.8 mm.
x = (Dt)1/2Where x is the diffusion depth, D is the diffusion coefficient, and t is the time of the diffusion process.

The formula for finding the time required for the solid to diffuse to a given depth is given by the equation:\(t = x² / 4DT\)

The time required to diffuse the carbon to a depth of 0.8 mm is as follows:
\(t = x² / 4DTt = (0.8)² / 4 (0.2 x 10-3 cm²/s)t\)
\((0.64) / (0.8 x 10-3 cm²/s)t\)

\(800 secondst = 800/3600 hourst = 0.222 hours\)

The same sample will take 0.222 hours or 13.32 minutes to reach the target carbon diffusion depth.

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The estimated current total cost for the installed and insulated tank is $12,065.73.

The first step is to calculate the surface area of the tank. The surface area of a cylinder is calculated as follows:

surface_area = 2 * pi * r * h + 2 * pi * r^2

where:

r is the radius of the cylinder

h is the height of the cylinder

In this case, the radius of the cylinder is 1 meter (half of the diameter) and the height of the cylinder is 1 meter. So the surface area of the tank is:

surface_area = 2 * pi * 1 * 1 + 2 * pi * 1^2 = 6.283185307179586

The insulation will add a thickness of 0.05 meters to the surface area of the tank, so the total surface area of the insulated tank is:

surface_area = 6.283185307179586 + 2 * pi * 1 * 0.05 = 6.806032934459293

The cost of the insulation is $40 per square meter and the cost of labor is $95 per square meter, so the total cost of the insulation and labor is:

cost = 6.806032934459293 * (40 + 95) = $1,165.73

The original cost of the tank was $10,900, so the total cost of the insulated tank is:

cost = 10900 + 1165.73 = $12,065.73

Therefore, the estimated current total cost for the installed and insulated tank is $12,065.73.

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Below are the field properties or axioms of equality used to justify each step.

What is an axiom answer?

An axiom is a rule or statement that is generally accepted to be true without proof. An axiom is also called a postulate.

7(x + 3) = 4 + 3x  

7x + 21 = 4 + 3x  --- Distributive Property of Multiplication over Addition

7x + 21 = 3x + 4  --- Subtraction Property of Equality

4x + 21 = 4   ---- Commutative Property of Addition

4x = - 17         -------- Subtraction Property of Equality

1/4 * (4 * 1) = 1/4 * (- 17)    ----- Multiplication Property of Equality

x = 1/4 * (- 17)               ----- Multiplicative Identity Property

x =-17/4             ----- Multiplicative Inverse Property

Hence, Above are the field properties or axioms of equality used to justify each step.

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Answer:

the answer is c plz trust

Step-by-step explanation:

Answer:

\((x-3)^2=5\)

Step-by-step explanation:

\(x^2-4x+4=2x\)

\(x^2-4x+4-2x=2x-2x\)

\(x^2-6x+4=0\)

\(x^2-6x=-4\)

\(x^2-6x+9=-4+9\)

\((x-3)^2=5\)

Solving:

\(x-3=\pm \sqrt{5}\)

\(x=3 \pm \sqrt{5}\)

An equation is formed when two equal expressions. The equation by completing the square can be rewritten as (x-3)²=5.

An equation is formed when two equal expressions are equated together with the help of an equal sign '='.

The given equation can be rewritten in the equation form by completing the square as,

x² - 4x + 4 = 2x

Bring the like terms on the same side of the equation,

x² - 4x - 2x + 4 = 0

Simplify the like terms of the equation,

x² - 6x + 4 = 0

Add positive 5 to both sides of the equation,

x² - 6x + 4 + 5 = 5

Solve the like terms,

x² - 6x + 9 = 5

Using the binomial property (a-b)²=a²+b²-2ab, x² - 6x + 9 can be written as,

(x - 3)² = 5

Hence, the equation by completing the square can be rewritten as (x-3)²=5.

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Answer- Rhombuses must have 4 equal sides, opposite sides are parallel and opposite angles are equal. They cut in half each other to bisect.

Answer:

A rhombus has to have 4 sides that are all equal in length, opposite sides that are parallel, and equal opposite angles.

Step-by-step explanation:

f(x) = x^3 + x^2 - 4x - 4

Explanation:

Looking at the graph you can notice that its interceptions are at the points (0, -4) on the y-axis, and on the x-axis (-2, 0), (-1, 0) and (2, 0).

To eliminate some possible solutions, start with replacing x by 0, to see if you get -4 (to have the interception with the y-axis)

For x = 0

For the 1st one => y = -4 : Yes

For the 2nd one => y = -4 : Yes

For the 3rd one => y = - 12 : No

For the 4th one => y = -8 : No

Now for the 2 functions left, search for f(x) = 0 (in order words y = 0) to find the intercepts with the x -axis.

Since all 3 x correspond to the intercepts of the graph, you can deduce that the first f(x) is the correct answer.

Answer:

Number of terms = 4 (there are four terms)

coefficients = the coefficient of ab = 4

✓✓✓ ✓✓✓ ✓ b = -5

✓✓✓ ✓✓✓ ✓ m = 1

constant terms = 3

Hope it helped!!

Number of terms, Coefficients, Constant terms are 4,2 and 1

Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.

The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This approach is used to answer the problem correctly and completely.

Given;

3 + 4ab - 5b + m

Number of terms here are

=4

Coefficients we have

=2

Constant terms

=1

Therefore, the answer to this algebra will be 4,2 and 1

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Answer:

10

Step-by-step

5*3=15

25-15=10

To answer this question, we will assume from it that the salesman gets a 3% commission on every car sold.

To solve this question, we need to find what the 3% of 46,000 is. We can do this as follows:

Therefore, if the salesman sells a car for $46,000, the commission earned by himn is $1,380.

Answer:

p=-9x+900

-9 -9

= -100

divide 900/9

or the answer is 100

Answer:

5/8 * 100 = 62.5 %

Answer:

(3x - 5)------------------->

Step-by-step explanation:

look at the work

The difference between the two investments after 35yrs is $4700 and  Bank of America is offering higher interest than 5/3rd banks.

Most interest is compounded semiannually, quarterly, or monthly. Continuous compounding assumes that interest is compounded indefinitely and reentered on the balance sheet. The continuous compounding formula takes into account four variables.

For the given question,

5/3rd bank offers continuous interest:

For continuous interest, A = P\(e^{rt}\)

where,

P = the initial amount

A = the final amount

r = the rate of interest

t = time

e is a mathematical constant where e ≈ 2.7183.

A = 10000 × \(2.71^{0.042*35}\)

A =  10000 × 4.04

A = $40400 approximately

Interest = Amount - Principle

Interest = 40400 - 10,000

Interest = $30400

Bank of America offers compound interest:

For compound interest:

\(A = P(1 + \frac{r}{n})^{nt}\)

A = 10000 × 4.51

A = $45100

Interest = Amount - Principle

Interest = 45100 - 10,000

Interest = $35100

The above calculation explains Bank of America is offering higher interest than 5/3rd bank by $35100 - $30400 = $4700

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Step-by-step explanation:

x^2=81

x=±9

Answer is -9 and +9

Answer:

It would be -4 5/12 or -4.416

Answer:

∠ ABC = 40°

Step-by-step explanation:

the 3 angles lie on a straight line ABE and sum to 180° , that is

50 - x + 80 + 2x + 40 = 180

x + 170 = 180 ( subtract 170 from both sides )

x = 10

Then

∠ ABC = 50 - x = 50 - 10 = 40°

To determine which option is most appropriate in studying the product-process matrix describing layout strategies, we need to understand the purpose and characteristics of the product-process matrix and evaluate each option accordingly.

The product-process matrix is a tool used to analyze and determine the appropriate manufacturing layout strategy based on the volume and variety of products being produced. Here are the options to consider: Classifying products into four categories: This option is appropriate as it aligns with the fundamental concept of the product-process matrix. The matrix typically categorizes products into four types: project, job shop, batch, and continuous flow. This classification helps in understanding the production requirements and selecting the appropriate layout strategy.

Determining the optimal lot size for each product:

While determining the optimal lot size is an important consideration in production planning, it is not directly related to the product-process matrix or layout strategies. Lot sizing decisions involve factors such as demand, setup costs, and inventory management, but they do not specifically address the volume-variety trade-off.

Analyzing the supply chain network: While the supply chain network is essential for overall operations management, it is not directly related to the product-process matrix or layout strategies. The product-process matrix focuses on the internal layout of the manufacturing facility and the relationship between product variety and production volume.

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The equation that relates the displacement of the object is:

d = 5 cos (t/2)

Simple harmonic motion is described as the periodic motion of either a point along this straight line with an acceleration that is always toward a fixed point within the line and a distance from that point that is proportional to that acceleration.

The given question:

d =  a cos (ωt)

a = 11; T = 4π seconds

Angular frequency ω = 2π / T

ω = 2π /4π = 1/2

The equation that relates the displacement of the object is:

d = 5 cos (t/2)

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The correct question is-

An object attached to a coiled spring is pulled down a distance a from its rest position and then released. Assuming that the motion is simple harmonic with period T, write an equation that relates the displacement d of the object from its rest position after t seconds. Also assume that the positive direction of the motion is up:

a = 11; T = 4π seconds

Answer:

C.

Step-by-step explanation:

Decay is getting smaller, and c is the only one where B will reduce the size of something.

Answer:

Angle BOC = 120°

Angle DOC = 60°

Angle ODC = 90°

Step-by-step explanation:

Triangle ABC is an equilateral triangle, therefore Angle BAC = 60°.

Now that we know Angle BAC, we can find Angle BOC: 2 × 60 = 120°

Angle DOC = ½ Angle BOC ( Radius drawn from centre to midpoint of chord, bisect the angle)

So Angle DOC = ½ (120) = 60°

Angle = 90° because D is the midpoint of chord BD and OD is a radius.

Answer: 274

7124 divided by 26 in decimal = 274

7124 divided by 26 in fraction = 7124/26

7124 divided by 26 in percentage = 27400%

Hope this helps

the partial regression coefficients in a multiple regression model represent the expected change in the dependent variable associated with a unit change in the corresponding independent variable, holding other variables constant.

In the context of the three-variable model Yt = α1 + α2x2+ a3x3 where α2 and α3 are partial regression coefficients, the coefficients represent the changes in Y associated with a unit change in x2 and x3, respectively. The partial regression coefficient represents the expected change in Y when x2 or x3 increases by one unit, while keeping other variables constant.
The partial regression coefficient for α2, α2, measures the effect of the variable x2 on Y. It tells us how much Y is expected to change for every unit increase in x2, holding the other variables constant. Similarly, the partial regression coefficient for α3, α3, measures the effect of the variable x3 on Y, and tells us how much Y is expected to change for every unit increase in x3, holding the other variables constant.
It is important to note that the regression coefficients are estimates obtained from sample data, and are subject to sampling variability. Therefore, it is important to consider the uncertainty associated with the estimates when interpreting the results.
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Answer:

5(x - 2) = -x + 2/3

5x - 10 = -x + 2/3  (multiply by 3 both sides)

15x - 30 = -3x + 2

15x + 3x = 2 + 30

18x = 32

x = 1 14/32

x = 1 7/16

Step-by-step explanation: