4(5x+1)-3x help me, I need help with algebra.

Answer:

903

Step-by-step explanation:

Answer:

129 x 6=774

774+1=775

Step-by-step explanation:

Hope this helps

Answer:

c

Step-by-step explanation:

Answer:

C) Marie should make sure she surveys both fathers and mothers.

Step-by-step explanation:

Instead of asking one parent like the father, she should ask both types of parents. Some parents go the mall by themselves not with their spouse. The parents may even have their own separate car so she needs to ask both of them.

The correct answer is c. 6 ft³.To calculate the volume of the sculpture, we need to find the volume of one pyramid and then multiply it by four.

The volume of a pyramid can be calculated using the formula V = (1/3) * base area * height. In this case, the base area of the pyramid is a square with side length 2 feet, so the area is 2 * 2 = 4 square feet. The height of the pyramid is 6 feet. Plugging these values into the formula, we get V = (1/3) * 4 ft² * 6 ft = 8 ft³ for one pyramid. Since there are four identical pyramids, the total volume of the sculpture is 8 ft³ * 4 = 32 ft³.

However, the question asks for the volume of sculpting material needed, so we need to subtract the volume of the hollow space inside the sculpture if there is any. Without additional information, we assume the sculpture is solid, so the volume of material needed is equal to the volume of the sculpture, which is 32 ft³. Therefore, the correct answer is c. 6 ft³.

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Answer:

x = 4

Step-by-step explanation:

6x - 9 = 15

6x - 9 + 9 = 15 + 9

6x = 24

6x / 6 = 24 / 6

x = 4

X=4

Add 9 to both sides. 6x=24. Divide 6 from both and get 4.

Answer: Inferential

Step-by-step explanation:

Inferential statistics, has to do with taking data from the samples that the researcher has and then making generalizations about the population through the sample gotten.

Through Inferential statistics, one can draw conclusion about a particular phenomenon. Therefore, the answer to the above question is Inferential statistics

.

(a) To solve the equation 4x^3 + 4x^2 − 5x + 3 = 0 given that the sum of two of its roots is 2, we can use synthetic division or polynomial factorization to find the roots of the equation. Then we can check which pairs of roots satisfy the given condition of having a sum of 2.

(b) To solve the differential equation y′ = y^2 + 1 with the initial condition y(0) = 0 using the Euler-Cauchy method, we can approximate the solution by using small time steps and updating the value of y iteratively.

(a) For the equation 4x^3 + 4x^2 − 5x + 3 = 0, we can use synthetic division or polynomial factorization to find the roots. Once we have the roots, we can check which pairs of roots have a sum of 2. By factoring the equation, we find that the roots are x = -1, x = 1/2 ± √(3)/2. Checking the pairs of roots, we see that the sum of the roots -1 and 1/2 + √(3)/2 is indeed 2.

(b) For the differential equation y′ = y^2 + 1 with the initial condition y(0) = 0, we can apply the Euler-Cauchy method to approximate the solution. Using a step size of h = 0.1, we can iterate from t = 0 to t = 0.5. At each step, we update the value of y using the formula y(t + h) = y(t) + h * (y(t))^2 + h. By repeating this process iteratively, we can calculate the approximate values of y at the desired time points within the interval [0, 0.5].

By applying the specific method described above, you will obtain the numerical values for the solution of the differential equation over the given interval.

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Answer: m-105= or > 1,000

Answer:

Rational numbers are the numbers which are integers and fractions

Irrational numbers are the numbers whose expression as a fraction is not possible

Examples of Rational Number

1/9 – Both numerator and denominator are integers.

7 – Can be expressed as 7/1, wherein 7 is the quotient of integers 7 and 1.

√16 – As the square root can be simplified to 4, which is the quotient of fraction 4/1

0.5 – Can be written as 5/10 or 1/2 and all terminating decimals are rational.

0.3333333333 – All recurring decimals are rational.

Examples of Irrational Number

√2 – √2 cannot be simplified and so, it is irrational.

√7/5 – The given number is a fraction, but it is not the only criteria to be called as the rational number. Both numerator and denominator need to integers and √7 is not an integer. Hence, the given number is irrational.

3/0 – Fraction with denominator zero, is irrational.

π – As the decimal value of π is never-ending, never-repeating and never shows any pattern. Therefore, the value of pi is not exactly equal to any fraction. The number 22/7 is just and approximation.

0.3131131113 – The decimals are neither terminating nor recurring. So it cannot be expressed as a quotient of a fraction.

The area of the region between the graphs y^2 = 8x and x^2 = 8y is (64/3 - 64) square units.

The area (a) of the region between the graphs of the equations y^2 = 8x and x^2 = 8y can be determined by finding the points of intersection and evaluating the definite integral of the difference in the y-coordinates.

To find the points of intersection, we set the two equations equal to each other: y^2 = 8x and x^2 = 8y. Solving these equations, we find two points of intersection: (4, 4) and (0, 0).

Next, we can set up the definite integral to calculate the area between the curves. We integrate the difference in the y-coordinates from y = 0 to y = 4 (the y-values of the intersection points). The integral expression for the area is: a = ∫[0 to 4] (y2 - x2) dy.

To simplify the integral, we need to express x in terms of y. From the equation x^2 = 8y, we get x = √(8y). Substituting this expression into the integral, we have a = ∫[0 to 4] (y2 - 8y) dy.

Evaluating the integral, we get a = [(y^3)/3 - 4y^2] evaluated from 0 to 4. Plugging in these limits, we find a = (64/3 - 64) - (0 - 0) = 64/3 - 64.

Therefore, the area of the region between the graphs y^2 = 8x and x^2 = 8y is (64/3 - 64) square units.

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Geraldine receives $14,730.

Geraldine's Stafford student loan is for $15,000, but she must pay a loan fee of 1.8%.

To determine the amount of money she will actually receive, we need to subtract the loan fee from the total loan amount.

First, let's calculate the loan fee.

To find 1.8% of $15,000, we can multiply the loan amount by 0.018 (which is the decimal representation of 1.8%).

Loan fee = $15,000 \(\times\) 0.018 = $270

Now, we subtract the loan fee from the total loan amount:

Amount received = Total loan amount - Loan fee

Amount received = $15,000 - $270 = $14,730

Therefore, Geraldine will receive $14,730 from the Stafford student loan. It's important to note that the loan fee is deducted upfront, so the actual amount disbursed to the student is reduced by that fee.

This ensures that the lender receives a portion of the loan upfront to cover administrative costs and mitigate potential risk.

The remaining amount is what the student receives to use for educational expenses or other approved purposes.

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Answer:

3 cm.

Step-by-step explanation:

Let's use the formula for the perimeter of a rectangle, which is P = 2l + 2w, where P is the perimeter, l is the length, and w is the width.In this case, we have:P = 16 cm (given)

l = k cm (given)

w = 5 cm (given)Substituting these values into the formula, we get:

16 cm = 2(k cm) + 2(5 cm)

Simplifying, we get:

16 cm = 2k cm + 10 cm

Subtracting 10 cm from both sides, we get:6 cm = 2k cm

Dividing both sides by 2, we get:

3 cm = k

Therefore, the value of k is 3 cm.

Answer:

Y = 3

X = 2

Step-by-step explanation:

(6x2) = 12

(8x3) = 24

12 + 24 = 36

(6x2) = 12

(5x3) = 15

12 + 15 = 27

The value of the expression : [(x – 2) ^2(x + 2)] ^2 will be (x³ - 4x² + 10x + 8)².

It should be noted that the information simony wants us to multiply the expressions that are given. In this case, they can be computed individually. This will be:

(x - 2)² = (x - 2)(x - 2)

= x² - 2x - 2x + 4.

= x² - 4x + 4

This will be:

(x² - 4x + 4)(x - 2)

= x³ - 2x - 4x² + 8x + 4x - 8

= x³ - 4x² + 10x + 8

We will then square the above value. This will be (x³ - 4x² + 10x + 8)².

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The association between traffic and fatalities and education level cause an individual to be a safe driver without an experiment, no causal relationship can be made. The correct option is a.

An experiment is a method of finding or analyzing things by using scientific methods and variables.

According to the explanatory variable, a higher level of education among those over 25 reduces the number of motor vehicle fatalities. The changes in the explanatory variable are truly reflected in this variable. Depending on the amount of education, the rate of traffic fatalities may go up or down.

Therefore, the correct option is A) Without an experiment, no causal relationship can be made.

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The question is incomplete. The missing options are given below:

A) Without an experiment, no causal relationship can be made.

B) There is a causal relationship because the study shows that the level of education has an impact on traffic fatalities are associated.

C) There is a causal relationship because of the level of education and motor vehicles.

D) None of the choices are correct.

The density of golf ball is 0.000113 gm/mm³

What is volume ?

Volume is a three dimensional space occupy by the body of particular shape such as here :

volume (V) of sphere with radius r : 4πr³/3

it is given that :

golf ball has a diameter d of = 42.67 millimeters

r = d/2 = 21.33 mm

golf ball has a mass m of = 45.93 grams

First, let us find the volume of the golf ball can be determined using the formula:

V = 4πr³/3

Substituting r = 21.33mm, we get;

V = 4π(21.33)³/3

V = 40650 mm³

Now, to find the number of grams per cubic millimeter of the material used to make the golf ball we find the density of golf ball :

ρ = m/V

ρ = 45.93/40650

ρ = 0.000113 gm/mm³

Therefore, the density of golf ball is 0.000113 gm/mm³

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Given:

y varies inversely as the fourth power of x

For the inversely forth power of x is:

So the value of y is:

where,

k = constent

so the value of k is x=2 and y = 7.

Then the function is:

The required equation is (1/2)y + 3.

We know that,

Using operations like addition, subtraction, multiplication, and division, a mathematical expression is defined as a group of numerical variables and functions we can form mathematical expression.

Thus, to evaluate the required expression:

According to the given information,

The system of equations that represents the number of copies Mr. Kingsley makes, x, and the number of copies Mrs. Harris makes, y, each week is:

x + y = 345

x = (1/2)y + 3

Hence, the required expression is (1/2)y + 3.

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Answer: 7

Step-by-step explanation:

64 ÷ (8) x 2 - 9

= 64 ÷ 8 x 2 - 9

= 8 x 2 - 9

= 16 - 9

= 7

Answer:(6,-22)

Step-by-step explanation:

To calculate the gain on the sale of the office furniture, we need to determine the asset's book value and compare it to the sale price.

First, let's calculate the accumulated depreciation on the furniture. The furniture was purchased on January 1, 2014, and the straight-line depreciation method is used over 10 years with a salvage value of $80,200.

Depreciation per year = (Cost - Salvage Value) / Useful Life

Depreciation per year = ($746,800 - $80,200) / 10 years

Depreciation per year = $66,160

Next, we need to calculate the accumulated depreciation for the period from January 1, 2014, to May 1, 2021 (the date of the sale). This is approximately 7.33 years.

Accumulated Depreciation = Depreciation per year × Years

Accumulated Depreciation = $66,160 × 7.33 years

Accumulated Depreciation = $484,444.80

Now, we can calculate the book value of the furniture:

Book Value = Cost - Accumulated Depreciation

Book Value = $746,800 - $484,444.80

Book Value = $262,355.20

Finally, we can calculate the gain on the sale:

Gain on Sale = Sale Price - Book Value

Gain on Sale = $300,000 - $262,355.20

Gain on Sale = $37,644.80

Therefore, the gain that should be recognized on the sale of the office furniture is approximately $37,644.80.

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The gain that should be recognized on the sale of the office furniture is $84,080.

The gain is calculated by subtracting the equipment's book value from the sale price. This gain will be reported on the company's income statement. Here is how to calculate the gain:First, find the equipment's book value using the straight-line method of depreciation.

Straight-line depreciation is calculated by taking the difference between the equipment's original cost and its salvage value, and then dividing it by the number of years the equipment is used. The annual depreciation expense is then multiplied by the number of years the equipment is used to find the equipment's book value at the end of its useful life.

For this question, the book value of the equipment at the time of sale is:Cost of equipment: $746,800Salvage value: $80,200Depreciable cost: $746,800 - $80,200 = $666,600Annual depreciation: $666,600 ÷ 10 years = $66,660Book value at the end of 2020: $666,600 - ($66,660 x 7) = $156,420

Next, subtract the equipment's book value from the sale price to find the gain:Sale price: $300,000Book value: $156,420Gain: $143,580Finally, round the gain to the nearest dollar:$143,580 ≈ $143,580.00So the gain that should be recognized on the sale of the office furniture is $84,080.

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False. Most of the terrain geometry in the classic game Assassin's Creed is not composed of fundamentally basic geometric shapes with elaborate decoration

In the classic game Assassin's Creed, the terrain geometry is typically not composed of basic geometric shapes with elaborate decoration. Instead, it involves complex and detailed 3D models and environments.

The game's environments are known for their rich and immersive world-building, featuring intricate cityscapes, historical landmarks, and varied landscapes.

Assassin's Creed games are renowned for their attention to detail and realistic depiction of historical settings. The  geometry is designed to replicate real-world locations, such as cities, villages, forests, and mountains, with accuracy and authenticity.

This involves creating intricate architectural structures, intricate natural landscapes, and diverse terrain features.

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The result of the simplification of the difference equation is f.

The simplification of the given expression is done by factoring the numerator, summing up the like terms, and dividing the value of the denominator from the numerator.

Given that:

\(\dfrac{f(4.5 + h) - f(4.5)}{h}\)

Factor the numerator

\(\dfrac{f(4.5 + h) + f(-1 *4.5)}{h}\)

Factor f out of f(4.5 + h) + f(1 *4.5)

\(\dfrac{f(4.5 + h-1*4.5) }{h}\)

\(\dfrac{f(4.5 + h-4.5) }{h}\)

\(\dfrac{f(h) }{h}\)

= f

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15/19 + 14/19 = 29/19

Step-by-step explanation:

Add the number of balls in the basket together.

Subtract the number of white balls from the sample space ( the total amount of balls) your answer is written over the sample space and the same process is done for the green ball

Answer:

190

Step-by-step explanation:

Answer:

78kg

Step-by-step explanation:

76×5= 380kg

380-72-74-75-81= 78kg

Answer:

y = 1/2x + 1

Step-by-step explanation:

Answer:

y=1/2x+1

Step-by-step explanation:

y=1/2x+b

2=(1/2)(2)+b

2=1+b

1=b

y=1/2x+1

Answer:

-3/5

Step-by-step explanation:

Let's go from the point (5, 8) to the point (10, 5).  We can see immediately that x (the 'run') increases by 5 and y (the 'rise') decreases by 3.  Thus, the slope of the line connecting these two points is m = rise/run = -3/5.

Both of these lines have the slope -3/5, given that they are parallel lines.

Speed is the ratio of distance and time.

It shows how fast an object is moving at a given time.

The rate of change of the distance below the sea level with respect to time is 11 feet per second.

Speed is the ratio of distance and time.

It shows how fast an object is moving at a given time.

We have,

The table has a linear relationship.

We can choose two data from the table.

At time = 15,

Distance below the sea level = 545 feet.

At time = 27,

Distance between the sea level = 677

Now,

The rate of change of the distance below the sea level with respect to time.

Slope:

= (677 - 545) / (27 - 15)

= 132 / 12

= 11 feet per second

Thus,

The rate of change of the distance below the sea level with respect to time is 11 feet per second.

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The rate of change of distance for the submarine is given by 11 feet/sec.

In order to find the slope between two points (x₁, y₁) and (x₂, y₂), take the ratio of the difference of the respective coordinates as (y₂ - y₁)/(x₂ - x₁).

Given that,

The table for distance travelled versus time taken for a submarine.

In order to find the slope, take two values of distance and time from the given table as  380 feet at t = 0 and 545 feet at t = 15.

Now, the slope can be found as,

slope = (545 - 380)/(15 - 0)

         = 165/15

         = 11

Hence, the rate of change of distance below sea level with respect to time is given as 11 feet/sec.

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Answer:

y < -6x+21

Step-by-step explanation:

-12x-2y> -42

Add 12 x to each side

-12x+12x-2y>12x -42

-2y > 12x-42

Divide by -2 remembering to flip the inequality

-2y/-2 < 12x/-2 -42/-2

y < -6x+21

This is in slope intercept form

Answer:

Step-by-step explanation:

From the given samples of aerial photographs, we can see that the density of sheep grazing on each acre of the pasture is not uniform.

Sample 14 shows a relatively low density of sheep grazing, with only a few sheep visible on each acre.

Sample 21 shows a higher density of sheep grazing, with more sheep visible on each acre compared to Sample 14.

Sample 39 shows the highest density of sheep grazing, with many sheep visible on each acre.

Based on these samples, we can conclude that the density of sheep grazing on each acre of the 40-acre pasture varies and is not constant. In order to determine the average density of sheep grazing on each acre, more samples would need to be taken and analyzed.

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