Simplify.
2x (3 – 1) + 3

Answer:

y = 1/3x

Step-by-step explanation:

The equation of the line passes through the origin and (5,3) is y = 3 / 5x and two points are (5 / 3, 1) and (10/3, 2).

An object having an endless length and no width, depth, or curvature is called a line. Since lines can exist in two, three, or higher-dimensional environments, they are one-dimensional things.

Given:

A line passes through the origin (0, 0) and(5,3),

The equation of the line will be,

y - 0 = 3-0 / 5-0 (x -0)

y = 3 / 5x

Put y = 1 then x = 5 / 3

Put y = 2 then x = 2 × 5 / 3 = 10 / 3

Therefore, the equation of line passes through the origin, and (5,3) is y = 3 / 5x and two points are (5 / 3, 1) and (10/3, 2).

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Answer:−2x=−8

4sin2(x)−1=0

2x+3=3

Step-by-step explanation:

Answer:

446.153846154 per week

Step-by-step explanation:

Answer:

2.04

Step-by-step explanation:

its simple math just do pemdas

Answer:

The answer is 2

Step-by-step explanation:

Answer:

688.19 inches

Step-by-step explanation:

The temperature at the bottom of the mountain is 50.9 °C.

Let's work through the given information step by step to find the temperature at the bottom of the mountain.

The temperature in the hotel is 21 °C.

The temperature in the hotel is 26.7 °C warmer than at the top of the mountain.

Let's denote the temperature at the top of the mountain as T_top.

So, the temperature in the hotel can be expressed as T_top + 26.7 °C.

The temperature at the top of the mountain is 3.2 °C colder than at the bottom of the mountain.

Let's denote the temperature at the bottom of the mountain as T_bottom.

So, the temperature at the top of the mountain can be expressed as T_bottom - 3.2 °C.

Now, let's combine the information we have:

T_top + 26.7 °C = T_bottom - 3.2 °C

To find the temperature at the bottom of the mountain (T_bottom), we need to isolate it on one side of the equation. Let's do the calculations:

T_bottom = T_top + 26.7 °C + 3.2 °C

T_bottom = T_top + 29.9 °C

Since we know that the temperature in the hotel is 21 °C, we can substitute T_top with 21 °C:

T_bottom = 21 °C + 29.9 °C

T_bottom = 50.9 °C

Therefore, the temperature at the bottom of the mountain is 50.9 °C.

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Answer:

y will be the dependent variable, and x will be the independent variable.

So y is affected by x.

Regarding the problem you attached, consider if IQ affects job performance, or if job performance affects IQ.

I would say that IQ may affect job performance (as job performance does not affect IQ), so in this case x will be IQ and y will be job performance.

When data is presented in tables, it is usual for the x values to be on the left and the y values to be on the right (though, not in every case, of course!).

Answer:

Domain: [-2,5)

Range: (2,-2]

Step by step explanation:

a open circle , means a parenthesis. a close Circle means a bracket . the domain is X . The range is y . for the range you start from the top of the graph and go all the way to the bottom of the graph . then for the domain, you go from the beginning of the graph to the end of the graph, side to side. and that's how I got this answer

Answer:

3√10

Step-by-step explanation:

Answer:

(i) 8b-32

(ii) 7z^3+12z^2-20z

(iii) –q+p

(iv) a+ab

(v) 8x^2y+8xy^2-4x^2-7y^2

(vi) 4y^2-3y

Step-by-step explanation:

Area of the base shape is 30 cm². Height of solid is 4 cm. Volume of solid is 120 cm³.

This figure is a triangular prism. First, we have to calculate the area of the base of the prism. Area of the base is an equilateral triangle and it has its base of 5 cm and height of 12 cm.

Area of triangle = 1/2 × base × height

= 1/2 × 5 × 12

= 5 × 6

= 30 cm²

Area of base = area of triangle = 30 cm²

Now, the height of the prism can be seen as clearly 4cm.

Lastly, we have to calculate the volume of the prism.

Volume of the prism = Area of base × height of prism

Volume of the prism = 30 × 4

Volume of the prism = 120 cm²

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If were talking about one house being a scaled copy of the other, the Scale factor has to be a fraction OR s single number. Like 1/8 or 1/2, or even 5.

Answer:

radius = 4 cm

Step-by-step explanation:

r≈4cm

Using the formula

V=πr2h

Solving forr

r=V

πh=1004.8

π·20≈3.99899cm

Answer: B or C sorry if its wrong and sorry if i got u wrong

Step-by-step explanation:

have a nice day

The domain of the rational function h(x) = (x - 3)/(x² - 4) is equal to (-∞, -2)  ∪ (-2, 2) ∪ (2, ∞).

The possible points that would lie on h(x) = x² - x + 1 are (3, 7).

True: (1, -1) is a point of the graph of f(x) = -2(x + 1)² + 7.

In Mathematics, a domain is the set of all real numbers for which a particular function is defined.

From the graph of h(x) = (x - 3)/(x² - 4), the domain in interval notation and set builder notation is as follows;

Domain = (-∞, -2)  ∪ (-2, 2) ∪ (2, ∞)

Domain = {x|x ≠ 2, -2}.

Next, we would determine possible x-value for the given quadratic function as follows;

h(x) = x² - x + 1

7 = x² - x + 1

7 - 1 = x² - x

6 = x² - x

x² - x - 6 = 0.

x² - 3x + 2x - 6 = 0.

x(x - 3) + 2(x - 3) = 0

(x + 2)(x - 3) = 0

x = 3 or x = -2.

For second quadratic function f(x) = -2(x + 1)² + 7, we have:

f(x) = -2(x + 1)² + 7

-1 = -2(1 + 1)² + 7

-1 = -2(2)² + 7

-1 = -8 + 7

-1 = -1 (True).

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Answer:

a 1 over 25

Step-by-step explanation:

Problem Statement:

     What is the value of  \(\frac{5^{4} }{5 ^{6} }\) ?

To solve this problem, we must familiarize ourselves with the concept of exponents and rules that guides them.

Exponents are used by scientists to report higher orders of a number.

Such large and often recurring expression is usually made up of a base and an exponent value.

The exponent value is the power of the base;   for example, 4³ has 4 as its base and 3 as the exponent.

Several rules guides solving an exponent, to this problem, the most applicable one is :

                            \(\frac{x^{a} }{x^{b} }\)  =  \(x^{(a-b)}\)

                           \(\frac{5^{4} }{5 ^{6} }\)   =  \(5^{4-6}\)  

                                 = \(5^{-2}\)

                                 = \(\frac{1}{25}\)                                  

Therefore the solution is 1 over 25

Answer:

a 1 over 25

Step-by-step explanation:

Answer:

ok so from looking at this if he earns 14 dollars he saves 5 so he saves

5/14 so lets just multiply this by the 56

56*5/14=20

so he saves 20

20

Hope This Helps!!!

Step-by-step explanation:

3.

remember the law of sine :

a/sin(A) = b/sin(B) = c/sin(C)

a, b, c are the sides. A, B, C are the corresponding opposite angles.

and again, the sum of all angles in a triangle is always 180°.

so, the angle opposite of W = 180 - 90 - 60 = 30°.

and we get

6×sqrt(3)/sin(60) = W/sin(30) = W / 1/2 = 2W

W = 6/2 × sqrt(3)/sin(60) = 3×sqrt(3)/sin(60) =

= 3×sqrt(3) / sqrt(3)/2 = 6

X we get via Pythagoras

X² = (6×sqrt(3))² + W² = 36×3 + 6² = 108+36 = 144

X = sqrt(144) = 12

in the lower triangle the angle opposite of X = 180 - 90 - 45 = 45°

so, it is an isoceles triangle (both legs are equal).

therefore,

Y = X = 12

Z² = 12² + 12² = 144 + 144 = 288

Z = sqrt(288) = sqrt(16×18) = sqrt(16×9×2) =

= 4×3×sqrt(2) = 12×sqrt(2)

4.

x² + 2x - 1 = 2

x² + 2x + 1 = 4

(x + 1)² = 4

x + 1 = ±2

x = ±2 - 1

x1 = 2 - 1 = 1

x2 = -2 - 1 = -3

5.

in a rhombus all 4 sides are equal, and the opposite sides are parallel.

a.

so, PQ = QR

3x + 7 = -x + 17

4x = 10

x = 10/4 = 2.5

b.

the diagonals are perpendicular to each other (90°), intersect each other at their midpoints and cut their corner angles in half.

the angle RSM = angle PSM = 40°.

c.

the sum of all angles in any quadrilateral is always 360°.

in a rhombus the opposing angles are equal.

so,

the angle SPQ = angle SRQ

360 = SPQ + SRQ + PSR + PQR = 2×SPQ + 2×40 + 2×40 =

= 2×SPQ + 160

2×SPQ = 360 - 160 = 200

the angle SPQ = 200/2 = 100°.

Answer:

Kindly check explanation

Step-by-step explanation:

Given the following :

SAT SCORE :

421

375

585

693

608

392

418

484

725

506

613

706

366

GPA:

2.93

2.87

3.03

3.42

3.66

2.91

2.12

2.50

3.24

1.97

2.73

3.88

1.58

Using the online linear regression calculator ; the regression model obtained is :

ŷ = 0.00345X + 1.00301

0.00345 = slope or gradient

1.00301 = intercept ; where the regression line crosses the y axis

X = independent variable or predictor variable ; y = dependent variable or predicted variable

Answer:

4 dimes

2 nickels

Step-by-step explanation:

Answer:

4 dimes 2 nickels

Step-by-step explanation:

Answer:

V = 460.68

Step-by-step explanation:

V=(lwh)/3

The thermometer reading would be 73.48°C.

The boiling point of water is generally considered to be 100°C. According to the given information, the temperature of the liquid in the thermometer is 26.52°C lower than the boiling point of water. Therefore, to find the thermometer reading, we subtract 26.52 from 100.

100 - 26.52 = 73.48

Hence, the thermometer reading would be 73.48°C.

In this scenario, we are assuming that the thermometer is calibrated to measure temperature in Celsius. The boiling point of water at standard atmospheric pressure is 100°C, and the given information states that the liquid in the thermometer is 26.52°C lower than the boiling point.

By subtracting 26.52 from 100, we obtain a reading of 73.48°C.

Thermometers work by utilizing the principle that certain substances, such as mercury or alcohol, expand or contract with changes in temperature. The expansion or contraction is measured using a scale, which is marked with various temperature values.

In this case, the thermometer is calibrated in Celsius, so we refer to the Celsius scale. By subtracting 26.52 from 100, we find the temperature at which the liquid in the thermometer is settled, which is 73.48°C.

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Answer: 140$

Step-by-step explanation: 15$ times 8 meals plus 20 dollar fee eaquals 140$

Answer:

Step-by-step explanation:

5. is hypothenuse because it is across from the right angle

3. and 4. are legs

In-state corresponds to students who are residents of the same state as the university, out-of-state corresponds to students from different states, and foreign corresponds to students from countries other than the university's country.

To match the vocabulary word with its corresponding example in the context of the state university survey, we need to understand the terms and their meanings.

Here are the vocabulary words and their corresponding examples:

Vocabulary Word: In-state

Example: A student who is a resident of the same state where the university is located.

They pay lower tuition fees compared to out-of-state or foreign students.

Vocabulary Word: Out-of-state

Example: A student who is not a resident of the state where the university is located.

They typically pay higher tuition fees compared to in-state students.

Vocabulary Word: Foreign

Example: A student who is from a country other than the country where the university is located.

They are international students who may have different visa requirements and tuition fees.

To match these vocabulary words with their corresponding examples:

In-state: A student from the same state as the university, paying lower tuition fees.

Out-of-state: A student from a different state than the university, paying higher tuition fees.

Foreign: A student from a country other than the country where the university is located, with potential differences in visa requirements and tuition fees.

By associating each vocabulary word with its respective example, we can accurately describe the three categories of students based on their residency and origin in the context of the state university's survey.

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Answer: 1/3

Step-by-step explanation: :)

Answer:

\(\frac{f(x + h) - f(x)}{h} = \frac{3}{2}\)

Step-by-step explanation:

Given

\(f(x) = \frac{3}{2}x\)

Required

Calculate \(\frac{f(x + h) - f(x)}{h}\)

First, we calculate f(x + h)

\(f(x) = \frac{3}{2}x\)

\(f(x + h) = \frac{3}{2}(x + h)\)

\(f(x + h) = \frac{3}{2}x + \frac{3}{2}h\\\)

The equation becomes:

\(\frac{f(x + h) - f(x)}{h}\)

\(\frac{f(x + h) - f(x)}{h} = \frac{\frac{3}{2}x + \frac{3}{2}h - \frac{3}{2}x}{h}\)

\(\frac{f(x + h) - f(x)}{h} = \frac{\frac{3}{2}x - \frac{3}{2}x+ \frac{3}{2}h}{h}\)

\(\frac{f(x + h) - f(x)}{h} = \frac{\frac{3}{2}h}{h}\)

\(\frac{f(x + h) - f(x)}{h} = \frac{3}{2}\)

Answer:

29.3 degrees

Step-by-step explanation:

90 - 60.7 = 29.3 degrees

Demographics are data that describe populations and their characteristics. Demographic analysis is the study of a population's characteristics such as age, race, and gender.

Demography is the statistical study of populations, particularly human populations. Demographic analysis investigates and quantifies population dimensions and dynamics; it can apply to entire societies or groups defined by criteria such as education, nationality, religion, and ethnicity.

Age, gender, occupation, cultural background, and family status are the five major demographic segments. Demographic analysis is the study of a population's characteristics such as age, race, and gender. Demographic data is a statistical representation of socioeconomic information such as employment, education, income, marriage rates, birth and death rates, and so on.

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