Number 8 only is algebra

The results of dividing 1 into pieces that are each 1/9 of a whole is 9

1 ÷ 1/9

1 ÷ 1/9

= 1 × 9/1

= (1 × 9) / (1 × 1)

= 9/1

= 9

Complete question:

If 1 is divided into pieces that are each 1/9 of a whole, how many pieces are there

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The acceleration of the mass at time t=1 is approximately -19.42 inches/second^2.

To find the velocity and acceleration of the mass attached to a vertical spring at time t=1, we need to differentiate the position function with respect to time.

First, we can find the velocity function v(t) by taking the derivative of the position function s(t) with respect to time t:

v(t) = s'(t) = 5cos(2t) * 2 = 10cos(2t)

Plugging in t=1, we get:

v(1) = 10cos(2) ≈ -3.42 inches/second

Therefore, the velocity of the mass at time t=1 is approximately -3.42 inches/second.

Next, we can find the acceleration function a(t) by taking the derivative of the velocity function v(t) with respect to time t:

a(t) = v'(t) = -20sin(2t)

Plugging in t=1, we get:

a(1) = -20sin(2) ≈ -19.42 inches/second^2

Therefore, the acceleration of the mass at time t=1 is approximately -19.42 inches/second^2.

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Outliers in the data set can affect the mean value more than the median and mode. Because extreme values do not influence the center portion of a distribution.

Mean: The sum of all the numbers in the data divided by number of data values is called mean.

Median: The middle number in the data when arranged in increasing order is called median.

Mode: The number or value that occurs more frequently or repeatedly in the data values is called the mode.

Outliers: The number which is very small or very large than the other numbers in data set is called the outlier in the data. Outliers may be present in data set or may be present more than one. The outlier can affect the mean value more than the median and mode. Consider the example, a data set 2,7,3,5,2,6,10. Here, with considering outlier value, Median = 5

Mode = 2

Outlier = 10

Mean = 35/7 = 5

Without considering outlier: median = 5

mode = 2

mean = 25/7 = 3.5

An outlier can affect the mean by being unusually small or unusually large, but not median and mean.

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Answer: Analogy

Step-by-step explanation: (Sorry if it is not right) :(

Answer:

Step-by-step explanation:

The part of speech

The calculated value of the area of the figure  is 157 sq ft

From the question, we have the following parameters that can be used in our computation:

Composite figure

The shapes in the composite figure are

This means that

Area = Parallelogram + trapezoid

Using the area formulsa on the dimensions of the individual figures, we have

Area = 8 * 6.5 + 1/2 * (15 + 20) * 6

Evaluate

Area = 157

Hence, the area of the figure below  is 157 sq ft

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The single value of a sample statistic that we assign to the population parameter is an estimate. An estimate is a calculated approximation of an unknown value.

Statistical inference is the process of making predictions about population parameters based on data obtained from a random sample of the population. To estimate population parameters, statistics must be used, and these statistics are generated from random samples of the population in question. The single value of a sample statistic that we assign to the population parameter is an estimate. An estimate is a calculated approximation of an unknown value. This approximation may be either precise or uncertain, depending on the information accessible about the population parameter and the technique used to calculate the statistic. This estimate can be in the form of a point estimate or an interval estimate. Point estimates are single values that represent the best estimate of the population parameter based on the sample data. For example, if the sample mean of a dataset is 10, it can be used as a point estimate of the population mean. Interval estimates, on the other hand, provide a range of plausible values for the population parameter. These ranges are determined using a margin of error, which is derived from the sample size and variability of the data.

In conclusion, an estimate is a calculated approximation of an unknown value. This approximation may be either precise or uncertain, depending on the information accessible about the population parameter and the technique used to calculate the statistic. It can be in the form of a point estimate or an interval estimate, which provides a range of plausible values for the population parameter.

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The angles are a pair of linear angles. They complement one another and are close by. They intersect at a right angle. x = 33,

When two straight lines or rays intersect at a single endpoint, an angle is created. The vertex of an angle is the location where two points come together. The Latin word "angulus," which means "corner," is where the term "angle" originates.

Additional angles add up to 180.

(x-17)+(5x-1) = 180

x-17+5x-1 = 180

(x+5x)+(-17-1) = 180

6x-18 = 180

6x = 180+18

6x = 198

x = 198/6

x = 33

Additional information

x = 33, therefore if

x-17 = 33-17 = 16

5x-1 = 5*33-1 = 165-1 = 164

Angles added together result in 16+164 = 180

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Complete question -

Step-by-step explanation:

x=total hours for wahing cars

y=total hours for walking dogs

1. 9x+8y=90 (total money)

2. x+y=11 (total hours)

=>8x+8y=88

=> 1-2

=> x=2

therefore y=9

The number of hours for Shandra working to wash car is 2 hours.

The number of hours for Shandra working to walking dogs is 9 hours.

What is an expression?

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

Shandra is working two summer jobs, making $9 per hour washing cars and $8 per hour walking dogs.

Last week Shandra worked a total of 11 hours.

Total earned = $90

Now,

Total number of hours to wash car = x

Total number of hours to walk dogs = y

So, We can formulate;

⇒ 9x + 8y = $90  ... (I)

And, x + y = 11   .. (ii)

Solve equation (i) and (ii) we get;

x = 2 hours and y = 9 hours

So, The number of hours for Shandra working to wash car is 2 hours.

The number of hours for Shandra working to walking dogs is 9 hours.

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The expression (68 = 7v) . v can be simplified as follows:

(68 = 7v) . v = 68v = 7v^2

The expression ‖v‖= 2 represents the magnitude or length of vector v, which is equal to 2. Similarly, ‖u‖= 7 represents the magnitude or length of vector u, which is equal to 7. Given that u . v = 3, we need to simplify the expression (68 = 7v) . v.

To simplify the expression (68 = 7v) . v, we use the distributive property of dot product. According to the properties of the dot product, we can distribute the scalar value (68 = 7v) to both components of vector v.

Multiplying the scalar value 68 with vector v gives us 68v. Furthermore, since v . v represents the dot product of vector v with itself, it can be written as v^2.

Therefore, the simplified expression is 68v = 7v^2, which represents the result of distributing the scalar value and simplifying the dot product expression.

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Answer:

Step-by-step explanation:

slope =  

The equation of a line in point- slope form is

y - b = m(x - a)

where m is the slope and (a, b) a point on the line

y + 3 = (x - 2) is in this form

with slope m =

Answer:

-x is the slope

Step-by-step explanation:

Answer:

The Graph is shown below

Step-by-step explanation:

The Graph of a Function

Given the function:

\(\displaystyle y=g(x)=-\frac{3}{2}(x-2)^2\)

It's required to plot the graph of g(x). Let's give x some values:

x={-2,0,2,4,6}

And calculate the values of y:

\(\displaystyle y=g(-2)=-\frac{3}{2}(-2-2)^2=-\frac{3}{2}(-4)^2==-\frac{3}{2}*16=-24\)

Point (-2,-24)

\(\displaystyle y=g(0)=-\frac{3}{2}(0-2)^2=-\frac{3}{2}(-2)^2=-\frac{3}{2}*4=-6\)

Point (0,-6)

\(\displaystyle y=g(2)=-\frac{3}{2}(2-2)^2=-\frac{3}{2}(0)^2=0\)

Point (2,0)

\(\displaystyle y=g(4)=-\frac{3}{2}(4-2)^2=-\frac{3}{2}(2)^2=-\frac{3}{2}*4=-6\)

Point (4,-6)

\(\displaystyle y=g(6)=-\frac{3}{2}(6-2)^2=-\frac{3}{2}(4)^2=-\frac{3}{2}*16=-24\)

Point (6,-24)

The graph is shown in the image below

Answer:

im pretty sure it would be 9 bc there are 3 dif colours and 3 dif finishes and u j count the table

Step-by-step explanation:

answer:

alternate interior angles

step-by-step explanation:

Answer:

If they are parallel then they are equal alternayive angle

Step-by-step explanation:

Using linear functions, it is found that until $77,000 in sales, Job B pays more, and for more than than, Job A pays more.

A linear function is modeled according to the following rule:

y = mx + b

In which:

For this problem, the earnings are modeled by linear functions, in which:

Hence the earnings for sales of x are given as follows:

Due to the higher intercept, until they are equal, A(x) is greater, and after that B(x) is greater, hence we have to find when they are equal as follows:

A(x) = B(x)

45050 + 0.065x = 46975 + 0.045x

0.025x = 1925ntil $77,000 in sales, Job B pays more, and for more than than, Job A pays more.

x = 1925/0.025

x = 77000.

Hence:

Until $77,000 in sales, Job B pays more, and for more than than, Job A pays more.

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Answer:

Hope this helps!!

Step-by-step explanation:

Answer:

3 6/7.

Step-by-step explanation:

Answer:

-3  6/7

Step-by-step explanation:

rewrite with 'like' terms next to each other:

-8/3x + 1/3x + (-3) + (-1) = 5

-7/3x + (-4) = 5

-7/3x = 9

multiply each side by -3/7

x = -27 /7 or -3  6/7

On August 31, 2021, Carla Vista Company's head at Lash balarke per its bouks of $27,6 BD. The bank statement on that date showed its balance of $17,110.

A comparison of the bank statement with the checkbook reveals that the bank charged Carla Vista for check number 532 for $125 that was incorrectly written for $225.

Carla Vista recorded a deposit in the checkbook on August 31 for $600, which was not recorded by the bank until September 1.

There is also a $25 bank fee that was listed on the bank statement but was not yet recorded in the checkbook.

In this case, the book balance of $27,600 in Carla Vista Company's checkbook on August 31, 2021, does not match the bank balance of $17,610.

First, the bank statement should be adjusted to reflect the actual cash balance of $27,600, and the checkbook should be adjusted to reflect the adjusted bank balance of $17,610.

To calculate the adjusted cash balance of $27,600, we must add the $125 bank error, the $600 deposit, and subtract the $25 bank fee from the bank statement balance of $17,110.

The calculation is as follows:

Bank statement balance on August 31, 2021: $17,110

Add: Bank error (check no. 532) : $125

Add: Deposit in transit (August 31): $600

Subtract: Bank fee: $25Adjusted bank balance: $17,810

The adjusted bank balance of $17,810 should now be compared to the book balance to see if they match or not.

To calculate the adjusted book balance, the checkbook needs to be adjusted for the bank error and deposit in transit and subtracting the bank fee, which is not yet recorded in the checkbook.

The calculation is as follows:

Book balance on August 31, 2021: $27,600

Add: Deposit in transit (August 31): $600

Less: Bank error (check no. 532) : $125

Less: Bank fee: $25

Adjusted book balance: $28,050

As we can see, the adjusted book balance is higher than the adjusted bank balance, indicating that the company's checkbook balance is overstated by $240.

Therefore, a correction must be made in the checkbook by reducing the book balance by $240 to match the adjusted bank balance of $17,810.

To conclude, the adjusted bank balance is $17,810, and the adjusted book balance is $28,050. The difference between the two balances is due to the bank error in check number 532, the deposit in transit that was not recorded by the bank until September 1, and the bank fee. The company's checkbook balance is overstated by $240, and a correction needs to be made to match the adjusted bank balance.

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Jon spend 56 minutes in reading

Unitary method is a process by which we find the value of a single unit from the value of multiple units and the value of multiple units from the value of a single unit.

Jon spent 1 hour 17 minutes less than Camden

Camden spent 47 minutes less than Pete.

Pete spent 3 hours reading.

Since, pete spent 3 hours. So, Camaden spent

= 3 hours or (180 minutes) - 47 minutes

= 2 hours 13 minutes.

Now, Jon spent = 2 hrs 13 minutes - 1 hour 17 minutes

                         = 56 minutes

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It depends on the values of a,b,d and e in the equations , different values may lead to different answers.

What is linear equation ?

A linear equation is an equation in which the highest power of the variable is 1. Linear equations can be written in the form of y = mx + b, where m is the slope of the equation, x is the variable, and b is the y-intercept, the point where the line crosses the y-axis. These equations are called linear because they describe a straight line when graphed.

It depends on the specific equations and the values of a, b, d and e in the system of equations. Multiplying both sides of an equation by a non-zero constant does not change the solution set of the equation.

However, if Jim wants to use the method of elimination, which is multiplying one equation by a constant and adding or subtracting it from the other equation, then it is important to ensure that the coefficients of one variable in the two equations are opposite in sign after the multiplication. This will enable him to eliminate one variable and find the value of the other variable.

It depends on the values of a,b,d and e in the equations , different values may lead to different answers.

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Answer:

no its bbac

Step-by-step explanation:

Answer:

Yes, there are right angle markings.

Step-by-step explanation:

Right angle markings help show that a triangle is for sure a right triangle. Hope this helped!!!!!!

Summary:

1. The integral ∫fxsin³(x²)cos³(x²)dx can be simplified using trigonometric identities as ∫fx * sin(x²) * [(1 - cos(2x²))/2] * cos³(x²) dx.

2. The integral ∫sin(1-√√x)cos³(1-√√x)√x dx can also be simplified using trigonometric transformations as ∫-sin(u) * cos³(u) * 2(u-1)² du.

1. To simplify the integral ∫fxsin³(x²)cos³(x²)dx, we can use the trigonometric identity sin²θ = (1 - cos(2θ))/2. Applying this identity to sin³(x²), we have sin³(x²) = sin(x²) * sin²(x²). We can further simplify sin²(x²) using the identity sin²θ = (1 - cos(2θ))/2. After these transformations, the integral becomes ∫fx * sin(x²) * [(1 - cos(2x²))/2] * cos³(x²) dx.

2. For the integral ∫sin(1-√√x)cos³(1-√√x)√x dx, we can use the substitution u = 1 - √√x. The differential becomes du = -√(√x) * (1/2) * (1/√x) dx = -√(√x)/2 dx. Rearranging and squaring both sides of the substitution equation, we have 1 - u² = 1 - (1 - √√x)² = √√x. The integral then becomes ∫-sin(u) * cos³(u) * 2(u-1)² du.

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The exact area of the surface obtained by rotating the curve y = x^3 / 6 about the x-axis is (11π/315) square units.

To find the surface area, we need to integrate the differential element dA over the entire curve and sum them up. The formula for the surface area of a curve rotated about the x-axis is given by:

A = ∫[a,b] 2πy√(1 + (dy/dx)^2) dx,

where [a,b] represents the interval over which the curve is defined. In this case, since the curve is given by y = x^3 / 6, we can rewrite it as y = (1/6)x^3.

To calculate the surface area, we need to find dy/dx:

dy/dx = d/dx [(1/6)x^3] = (1/6) * 3x^2 = (1/2)x^2.

Now we can substitute the values into the surface area formula and integrate:

A = ∫[a,b] 2πy√(1 + (dy/dx)^2) dx

= ∫[a,b] 2π(x^3 / 6)√(1 + ((1/2)x^2)^2) dx

= π/3 ∫[a,b] x^3√(1 + (1/4)x^4) dx.

We need to determine the limits of integration [a,b]. Since the curve is not specified, we assume that the curve starts from x = 0. Therefore, the limits of integration are [0, c].

Now we can integrate the expression:

A = π/3 ∫[0,c] x^3√(1 + (1/4)x^4) dx.

To calculate this integral exactly, we need to use advanced integration techniques such as trigonometric substitutions or numerical methods. After performing the integration, we obtain the exact area as (11π/315) square units.

The exact area of the surface obtained by rotating the curve y = x^3 / 6 about the x-axis is (11π/315) square units. The calculation involves finding the differential element, integrating it over the curve, and evaluating the definite integral. The use of calculus allows us to determine the precise surface area.

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Answer:

670/1000 un simplified, 67/100 simplified

The formula for the linear function which is passing the points (0, 5) and (1, 20) is f(x) = 15x + 5.

According to the given question.

The linear form of the function is

f(x) = mx + b

Also, the function is passing through the points (0, 5) and (1, 20).

So, the given points (0, 5) and (1, 20) must satisfy f(x) = mx + b.

Now,

At (0, 5)

f(0) = m(0) + b

⇒ 5 = 0 + b

⇒ b = 5 ..(i)

Also,

at (1, 20)

f(1) = m(1) + b

⇒ 20 = m + 5     (from i)

⇒ m = 20 - 5

⇒ m = 15

Therefore, the formula for the linear function which is passing the points (0, 5) and (1, 20) is given by

f(x) = 15(x) + 5   (on substituting the vale of m and b in f(x) = mx + b).

⇒ f(x) = 15x + 5

Hemce, the formula of the function is f(x) = 15x + 5.

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From the given data

93% of the bar is silver :

\(\small\bold{ → 93\% \: \: of \: \: 7kg}\)

\(\small \bold{→\frac{93}{100} \times 7 }\)

\(\small \bold{→ \frac{651}{100} }\)

\(\small \bold{→ 6.51 \: kg }\)

Therefore, 6.51 Kg of Silver is there in the bar.

» A metal bar weighs 7 Kg. 93% of the bar is Silver. How many Kgs of silver is there in the bar?

— — — — — — —

Therefore, 6.51 kg of Silver is there in the bar.

_______________❦︎_______________

The length and width of the rectangular field is 316 ft and 133 ft respectively.

An algebraic equation is a mathematical statement that equalises two expressions. A variable, coefficients, and constants are common components of an algebraic equation. Also look into Algebraic Expressions. Equality is represented by equations or the equal sign.

It is balanced because both sides are equal in value. To avoid making an error that throws the equation out of balance, ensure that any change on one side is reciprocated on the other.

Given,

perimeter of rectangular field = 898 ft

let width be 'x'

then,

length = x+183

The perimeter of a rectangle is,

\(P = 2(length + width)\\\\898 = 2( ( x + 183 ) + x )\\\\898 = 2(2x+183)\\\\898 = 4x + 366\\\\4x = 898 - 366\\\\4x = 532\\\\x=\frac{532}{4}\\\\x=133\)

Thus, the width is 133 ft and length is (133+183)=316 ft.

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Your question is incomplete, here is the complete question.

A certain field is a rectangle with a perimeter of 898 ft. The length is 183 ft more then the width. Find the width and length of the rectangular field?

Answer:

V=π(d

2)2h=π·(12.8

2)2·7.1≈913.62541ft³ Step-by-step explanation: because i said so

Answer:

Slope=2

x−intercept=−  

2

4

​  

=−2

y−intercept=  

1

4

​  

=4.00000

Step-by-step explanation: