What is the sum or difference?
a. 5x4 + 4x4
b. 12x5y − 9x5y

In order to roughly determine the roots of the given equation, the bisection method divides the interval several times.

In order to get close to the equation's roots, the bisection method divides the interval several times.

This strategy is based on the continuous functions intermediate theorem. It works by reducing the gap between the positive and negative intervals as it approaches the desired response.

This method narrows the gap between the variables by averaging the positive and negative intervals. Even though it is a simple process, it proceeds slowly.

The bisection method is also known as the dichotomy method, binary search method, and root-finding method.

Then, according to the intermediate theorem, there is a point x that is a part of (a, b) and has the value f(x) = 0.

To learn more about Bisection Method follow

brainly.com/question/13314803

#SPJ1

The probability that no two teams win the same number of games is 742.

The number of powers of 2 in 40! is

= (40/2) + (40/4) + (40/8) + (40/16) + (40/32)

= 20 + 10 + 5 + 2 + 1

= 38.

780-38 = 742.

Hence, the probability that no two teams win the same number of games is 742.

To know more about probability check the below link:

https://brainly.com/question/25870256

#SPJ4

Answer:

Lateral surface area of the cuboid = 84 square inch

Total surface area = 119.28 square inch

Step-by-step explanation:

Lateral surface of the cuboid = Total surface area of the cuboid - Area of the top and base of the cuboid

Total surface area = 2(lb + bh + hl) - 2(lb)

Here, l = length of the cuboid

b = width of the cuboid

h = height of the cuboid

Therefore, Lateral surface area of the given cuboid = 2(bh + hl)

= 2(2.1 × 4) + 2(4 × 8.4)

= 16.8 + 67.2

= 84 square inch

Total surface area of the cuboid = 2(8.4×2.1 + 2.1×4 + 4×8.4)

= 2(17.64 + 8.4 + 33.6)

= 2(59.64)

= 119.28 square inch

The number of cookies left in the basket after everyone has eaten out of the cookies is 7.

The first step is to convert the fractions to percentages.

1/6 x 1000 = 16.67%

1/5 x 100 = 20%

Now determine the sum of the percentages of the cookies eaten : 10% + 30% + 16.67 + 20% = 76.67%

Determine the percentage of cookies left = 100 - 76.67 = 23.33%

Number of cookies left = (23.33 / 100) x 30 = 7

To learn more about percentages, please check: https://brainly.com/question/25764815

#SPJ1

Dimensions of the parallelogram are:

Its perimeter is:

Its area is:

Perimeter is 2 times greater:

Area is 2*2 = 4 times greater:

Perimeter is 3 times greater:

Area is 3*3 = 9 times greater:

Perimeter is 2 times smaller:

Area is 2*2 = 4 times smaller:

The pounds of raisins will there be in 7 pounds of this mixture is 49/10 pounds.

It is described as the comparison of two quantities to determine how many times one obtains the other. The proportion can be expressed as a fraction or as a sign: between two integers.

It is given that:

In a mixture of raisins and dates, the ratio by weight of raisins to dates is 7 to 3

Let the common factor be x:

7x = raising

3x = dates

7x + 3x = 7

10x = 7

x = 7/10

7x = 7(7/10)

Raisin =  49/10 pounds

Thus, the pounds of raisins will there be in 7 pounds of this mixture is 49/10 pounds.

Learn more about the ratio here:

brainly.com/question/13419413

#SPJ1

a. The absolute change in city employees who ride the bus to work is 2%.

b. The relative change in city employees who ride the bus to work is approximately 11%.

c. The relative change in city employees who ride the bus to work is approximately 11%.

d. The relative change of around 11% indicates an increase in the proportion of city employees riding the bus to work compared to last year.

a. The absolute change in city employees who ride the bus to work can be calculated as the difference between this year's percentage (20%) and last year's percentage (18%):

Absolute change = 20% - 18% = 2%

b. The absolute change of 2% indicates that the number of city employees riding the bus to work has increased by 2 percentage points compared to last year.

c. The relative change in city employees who ride the bus to work can be calculated as the absolute change divided by the previous year's percentage, multiplied by 100:

Relative change = (Absolute change / Previous year's percentage) * 100

Relative change = (2% / 18%) * 100 ≈ 11%

d. The relative change of approximately 11% implies that the proportion of city employees riding the bus to work has increased by around 11% compared to last year.

Learn more about absolute change here: https://brainly.com/question/29157213

#SPJ11

The two-period moving average model and the two-period weighted moving average model are both common forecasting methods used to predict future demand. and we understand that the model with the lower MAD and MSE values will have the most accurate forecast.

To determine which model is better for this particular data set, we need to compare the accuracy of each model. To do this, we will calculate the Mean Absolute Deviation (MAD) and the Mean Squared Error (MSE) for each model.
For the two-period moving average model, we can calculate the forecast for period 7 by taking the average of p5 and 6:

Period 7 forecast = (Gallons in Period 5 + Gallons in Period 6)/2

For the two-period weighted moving average model, we can calculate the forecast for period 7 by using the weights of 0.6 and 0.4:

Period 7 forecast = (0.6 x Gallons in Period 5) + (0.4 x Gallons in Period 6)

We can then compare the accuracy of each model by calculating the MAD and MSE. To calculate MAD, we need to subtract the actual demand in each period from the forecasted demand and take the absolute value:

MAD = |Actual demand – Forecasted demand|

To calculate MSE, we need to square the differences between the actual demand and the forecasted demand:

MSE = (Actual demand – Forecasted demand)^2

After calculating the MAD and MSE for each model, we can compare the results to determine which model is better for this data set. The model with the lower MAD and MSE values will have the most accurate forecast.

For more such questions on forecast

https://brainly.com/question/24730207

#SPJ11

The length of the triangle side CD is equal to 12.7 approximately to 3 significant figure using the trigonometric ratio of sine for the angle 55°

The trigonometric ratios involves the relationship of an angle of a right-angled triangle to ratios of two side lengths. Basic trigonometric ratios includes; sine cosine and tangent.

According to Pythagoras rule, considering the right triangle ABC;

CB² + 6² = 12²

CB² + 36 = 144

CB² = 144 - 36 {collect like terms}

CB² = 108

CB = √108 {take square root of both sides}

sin 55° = √108/CD {opposite/hypotenuse}

CD = √108/sin 55° {cross multiply}

CD = 12.6866

Therefore, the length of CD approximately to 3 significant figure is 12.7 using the trigonometric ratio of sine for the angle 55°.

Know more about trigonometric ratios here: https://brainly.com/question/23130410

#SPJ1

A company's prospectus includes: A) The company's investment options.

Company's prospectus can be defined as the document that entails  detail information of a company investment option that are available for sales to potentials buyers or investors.

Examples of the investment options are:

Therefore the correct option is A.

Learn more about company's prospectus here:https://brainly.com/question/27245796

#SPJ1

A company's prospectus is a formal legal document designed to provide information and full details about an investment offering for sale to the public.

Answer:

boi just use a claculator

Step-by-step explanation:

bye luve

Answer: A 21,369

Explanation I got it right on the test :)

Biological factors are not the most important causes of social and environmental factors contributing to mild intellectual disability.

While biological factors can play a role in intellectual disabilities across all levels, including profound, moderate, severe, and mild, social and environmental factors such as inadequate education, limited access to resources, poverty, and lack of support systems can have a more significant impact on the development of mild intellectual disability. It's important to note that the causes of intellectual disabilities can be complex and multifactorial, often involving a combination of biological, social, and environmental factors.

Know more about mild intellectual disability here:

https://brainly.com/question/14618082

#SPJ11

-21,  -23, -27, -28, -28, -29 order them least to greatest and then find the middle if there is not a middle then put -27.5 as your answer for the median. For the mean add up all the number then you should get -156 then divide it by 6 which should give you -26 for the mean.  and for the mode you should get -28 as the one that occurs the most often.

mean: -26

median: -27.5

mode: -28

Answer:

D) 32g

Step-by-step explanation:

\(\displaystyle d=\frac{1}{2}gt^2\\\\d=\frac{1}{2}g(8)^2\\\\d=32g\)

the americans scored twice in the last period although the soviet team dominated second period, after that the americans finally took the lead

(this is english not math change your question when you have to do this again)

Answer:

The correct option is;

0.100100010000...

Step-by-step explanation:

An irrational number in mathematics are the subset of real numbers that are not rational numbers such as √2, π, e. As such it is not possible to express an irrational number as a ratio of two integers, or expressed in the form of a simple fraction.

The decimal portion of the expression of an irrational number are non periodic and they do not terminate. Transcendental, which are non algebraic, numbers are all irrational numbers

In the question, the number 0.100100010000... has non terminating non recurring decimals and is therefore an irrational number.

The series ∑ₙ=₁ to ∞ (n/n² + 6) is divergent.

To determine whether the series ∑ₙ=₁ to ∞ (n/n² + 6) is convergent or divergent, we can use the Integral Test.

The Integral Test states that if f(x) is a continuous, positive, and decreasing function on the interval [1, ∞) and f(n) = aₙ for all positive integers n, then the series ∑ₙ=₁ to ∞ aₙ and the integral ∫₁ to ∞ f(x) dx either both converge or both diverge.

In this case, let's consider the function f(x) = x/(x² + 6). We can check if it meets the conditions of the Integral Test.

Positivity: The function f(x) = x/(x² + 6) is positive for all x ≥ 1.

Continuity: The function f(x) = x/(x² + 6) is a rational function and is continuous for all x ≥ 1.

Decreasing: To check if the function is decreasing, we can take the derivative and analyze its sign:

f'(x) = (x² + 6 - x(2x))/(x² + 6)² = (6 - x²)/(x² + 6)²

The derivative is negative for all x ≥ 1, which means that f(x) is a decreasing function on the interval [1, ∞).

Since the function f(x) = x/(x² + 6) satisfies the conditions of the Integral Test, we can evaluate the integral to determine if it converges or diverges:

∫₁ to ∞ x/(x² + 6) dx

To evaluate this integral, we can perform a substitution:

Let u = x² + 6, then du = 2x dx

Substituting these values, we have:

(1/2) ∫₁ to ∞ du/u

Taking the integral:

(1/2) ln|u| evaluated from 1 to ∞

= (1/2) ln|∞| - (1/2) ln|1|

= (1/2) (∞) - (1/2) (0)

= ∞

The integral ∫₁ to ∞ x/(x² + 6) dx diverges since it evaluates to ∞.

According to the Integral Test, since the integral diverges, the series ∑ₙ=₁ to ∞ (n/n² + 6) also diverges.

Therefore, the series ∑ₙ=₁ to ∞ (n/n² + 6) is divergent.

To know more about divergent check the below link:

https://brainly.com/question/927980

#SPJ4

Incomplete question:

Use the Integral Test to determine whether the series is convergent or divergent.

∑ₙ=₁ to ∞ = n/n² + 6

Evaluate the following integral ∫₁ to ∞ x/x²+6 . dx

The value of the expression 8p+3q-18 is 7

Expressions in math are mathematical statements that have a minimum of two terms containing numbers or variables, or both, connected by an operator in between.

Given is an expression, 8p+3q-18, where p = 1/2 and q = 7, we are asked to evaluate it,

8p+3q-18

Put p = 1/2 and q = 7,

= 8(1/2)+3(7)-18 = 7

= 4+21-18

= 4+3

= 7

Hence, the value of the expression 8p+3q-18 is 7

Learn more about expression, click;

https://brainly.com/question/14083225

#SPJ1

The number of weeks are 0 1 2 4 7 12

The balances are 24 32 40 56 80 120

The rate of change of the balance of the student's savings account in dollars and cents per week is also referred to as the slope of the graph that can be potted with these values. The formula for slope is expressed as

Slope = (y2 - y1)/(x2 - x1)

y1 and y2 would be consecutive values of the balance

x1 and x2 would be consecutive values of the number of weeks

When x1 = 0, y1 = 24

When x2 = 1, y1 = 32

Slope = (32 - 24)/(1 - 0)

Slope = 8

The rate of change of the balance of the student's savings account in dollars and cents per week is 8 dollars per week. Converting to cents, it would be 800 cents per week

The work done in moving the particle from the origin to x = 9 is 2,565 units obtained by integrating the force function over the interval.

To find the work done in moving the particle, we need to integrate the force function over the interval from the origin (x = 0) to the final position (x = 9). The work done is given by the definite integral of the force function with respect to x.

Integrating the force function 4x^3 + 1 with respect to x gives us x^4 + x evaluated from 0 to 9. Plugging in the upper limit of integration (9) and the lower limit (0) into the antiderivative expression, we get (9^4 + 9) - (0^4 + 0), which simplifies to 6561 + 9 - 0 = 6561 + 9 = 6570.

Therefore, the work done in moving the particle from the origin to x = 9 is 2,565 units.

Learn more about Antiderivative here: brainly.com/question/31396969

#SPJ11

Complete Question:

The force on a particle is described by 4x^3+1 at a point x along the x-axis. Find the work done in moving the particle from the origin to x=9.

The value of the given number is -10.

Here, we are given that Thirty-five more than 0.8 times a number is the same as 43 less than the product of -7 and the number.

Let the number be x

0.8 times x = 0.8

35 more than 0.8x = 35 + 0.8x

Thus, our left hand side of the equation is 35 + 0.8x

Now, the product of -7 and x = -7x

43 less than -7x = -7x - 43

Thus, we get the following equation-

35 + 0.8x = -7x - 43

we can solve this equation to find the value of x-

0.8x + 7x = -43 - 35

7.8x = -78

x = -78/ 7.8

x = -1/ 0.1

x = -10

Thus, the value of the given number is -10.

Learn more about linear equations here-

https://brainly.in/question/5809911

#SPJ9

Answer: y = 5x + 26

Step-by-step explanation:

To find the equation of a line that is perpendicular to the given line y = -1/5x + 1 and passes through the point (-5, 1), we need to determine the slope of the perpendicular line. The given line has a slope of -1/5. Perpendicular lines have slopes that are negative reciprocals of each other. So, the slope of the perpendicular line will be the negative reciprocal of -1/5, which is 5/1 or simply 5. Now, we have the slope (m = 5) and a point (-5, 1) that the perpendicular line passes through.

We can use the point-slope form of a linear equation to find the equation of the line:

y - y1 = m(x - x1)

Substituting the values, we get:

y - 1 = 5(x - (-5))

Simplifying further:

y - 1 = 5(x + 5)

Expanding the brackets:

y - 1 = 5x + 25

Rearranging the equation to the slope-intercept form (y = mx + b):

y = 5x + 26

Therefore, the equation of the perpendicular line that passes through the point (-5, 1) is y = 5x + 26.

Given:

The logarithmic expression is:

\(\log_718\)

To find:

The equivalent expression of given expression by using change-of-base formula.

Solution:

The change-of-base formula is:

\(\log_ba=\dfrac{\log_ca}{\log_cb}\)

The given expression is:

\(\log_718\)

Using the change-of-base formula, we get

\(\log_718=\dfrac{\log_c18}{\log_c7}\)

Where, is a constant and c>0.

Let \(c=10\), then

\(\log_718=\dfrac{\log_{10}18}{\log_{10}7}\)

Therefore, the correct option is a.

The weigh of Quarters is approximately 5.67 g.

It's a common misconception that some of the coins in our pockets are made of precious metals. There was a time in U.S. history when the coins in circulation were actually made of gold and silver. As the prices of these metals rose, it became impractical to mint coins from them. It was made of silver and 10% copper. Today, quarters are made from a much cheaper combination of copper and nickel.

The US dollar and established official weights for various coins, including the new quarter coin. The new coin weighed 0.211 ounces (6.01 grams) of pure silver, or 0.237 standard ounces (6.74 grams). These weights continued until the Money Act of 1873, when a quarter of the United States was 90% silver and 10% copper and weighed only 0.022 ounces (6.25 grams). Since 1965, the US quarter has weighed 0.2 ounces (5.76 grams). They are 24.66mm in diameter and 1.75mm thick and consist primarily of a "cladding sandwich" of inner copper (91.67%) and outer nickel plating (8.33%).

Therefore, the weigh of quarter is 0.2 ounces i.e 5.76 g.

To know more about Quarters visit:

https://brainly.com/question/1218345

#SPJ4

Answer:

3

Step-by-step explanation:

Magazine $4

13-4=9

9/3=3

The integral expression of the volume of the solid generated when r is roated about the horizantal line y=6 is, V = π∫[f(y)]^2 dy

Let's consider the region bounded by the function r=f(y) and the horizontal line y=6 in the xy-plane, where r represents the distance between the y-axis and a point on a curve.

When this region is rotated around the horizontal line y=6, it generates a solid whose volume can be expressed as an integral in terms of y as follows:

V = π∫[f(y)]^2 dy

Here, the limits of integration are determined by the range of y-values for which the curve exists within the region bounded by the x-axis and the line y=6.

Note that we have not evaluated this integral yet since we do not have enough information about the specific function f(y).

Know more about volume of solid here:

https://brainly.com/question/20284914

#SPJ11

Answer:

The rate of change: -1

Step-by-step explanation:

The rate of change is the slope.

The equation is in slope-intercept form y = mx + b

m = the slope

The equation y = -x + 5

We see the slope is -1.

So, the rate of change is -1.

The expression that is equivalent to the given expression, (8x²y² - 9x²y + 9y) - (6x²y - xy² + 4y), is 8x²y² - 15x²y + xy² + 5y

From the question, we are to determine the expression that is equivalent to the given expression.

The given expression is

(8x²y² - 9x²y + 9y) - (6x²y - xy² + 4y)

To determine the expression that is equivalent to the given expression, we will simplify the given expression.

Simplifying the expression

(8x²y² - 9x²y + 9y) - (6x²y - xy² + 4y)

Clear the parentheses by applying the distributive property

8x²y² - 9x²y + 9y - 6x²y + xy² - 4y

Collect like terms

8x²y² - 9x²y - 6x²y + xy² - 4y + 9y

Simplify

8x²y² - 15x²y + xy² + 5y

Hence, the equivalent expression is 8x²y² - 15x²y + xy² + 5y

Learn more on Equivalent expressions here: https://brainly.com/question/723406

#SPJ1

Answer

25mm of rain fell each second

Step-by-step explanation:

we know that 500 mm fell in 20 minutes

so, we have to divide 500 by 20 giving us the amount of rain that fell each minute:

500/20 = 25

therefore, 25mm of rain fell each minute

hope this helped:)

Answer:

25 mm per minute

Step-by-step explanation:

Take the amount of rain and divide by the number of minutes

500/20

25 mm per minute