Which graph represents a linear function? pick all that are right.

A.

B.

C.

D.

The statement that is true about integrals is; A) If f(t) is increasing, then the left-hand sum gives an overestimate of the integral from a to b of f(t)dt.

Left-Hand Sums and Right-Hand Riemann sums usually give us different approximations of the specific area under a curve.

Now, If one sum gives us an overestimated value and then the other gives us an underestimated value, then we can try to find out what exactly the actual area under the curve might possibly be. It should be noted that left-hand sum will be an under-estimate of the specific area of R. Thus, as  f is increasing, a left-hand sum will definitely use the smallest value of f on each sub-interval. This therefore tells us that any left-hand sum will not cover all of R and also any right-hand sum will be an over-estimated value of the area of R.

Thus, Since f is increasing, a right-hand sum will utilize the largest value of f on each specific sub-interval. Thus, right-hand sum will definitely cover R and others.

From the above, option A is true because if the graph is increasing then the left-hand sum gives an overestimated value of the actual value.

Meanwhile, option B is false because if the graph is concave upwards, then the trapezoid approximation is an overestimated value, and as such the midpoint will be underestimated.

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An expression that shows number of cookies each friend got is c/5.

An expression is a combination of terms that are combined by using mathematical operations such as subtraction, addition, multiplication, and division.

Given that, Cole has c oatmeal cookies. He lets 5 of his friends share them fairly.

Total number of cookies =c

Sharing among 5 friends

Number of cookies each friend got =Total number of cookies/5

= c/5

Therefore, an expression that shows number of cookies each friend got is c/5.

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In order to cater a holiday banquet, food service LLC agrees to buy one hundred pumpkin pies from great desserts inc. to be enforceable, the agreement must be in writing if the pies cost at least $500.

What is an Agreement?

This refers to the legally binding contract that exists between two or more entities where the terms of the contract have been drawn up and the terms have been agreed upon by all parties involved, subject to certain conditions before it can be enforceable.

Hence, we can see that in order to cater a holiday banquet, food service LLC agrees to buy one hundred pumpkin pies and because they are a limited liability company, there needs to be a minimum threshold and this can be done, if the cost of the pies is at least $500.

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Answer:

x = 1

Step-by-step explanation:

y = 9 is a horizontal line. It intersects the y axis at (0,9) and for all value s of x, y = 9.

Therefore a line perpendicular to this line will be of the form x = k where k is some constant. It means that for all values of y, the x value is constant. The y value is irrelevant

Since the line passes through (1,-1), ie through x = 1, y = -1, the equation of the line is x = 1

The approximate speed-up ratio between pipelined and non-pipelined system to execute 100 instructions is 4.03

The term ratio in math defines as an ordered pair of numbers a and b, written a / b where b does not equal 0.

Here we have given that

And we need to determine the approximate speed-up ratio between pipelined and non-pipelined system to execute 100 instructions.

While we looking into the given question we have identified the following values,

=> Number of pipeline segments = stages in pipeline,

=> n = 5

Here we know that,

=> Clock cycle time per operation = clock cycle per stage = 14 ns

And the number of instructions = 100

Here the formula to calculate the startup is written as,

=> T[without pipeline] = no. of instructions × stages in pipeline × clock cycle per stage

=>  100 × 5 × 14

=> T[with pipeline] = (time for pipelined execution without stalls) + (overhead due to stalls)

=> (5 + 99) × 20 + 20 × 20 = 124 × 20

Therefore, the startup is

=> [500 x 14] / [124 x 14]

=> 4.03

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The two linear functions have the same y-intercept. Then the correct option is A.

A connection between a number of variables results in a linear model when a graph is displayed. The variable will have a degree of one.

The linear equation is given as,

y = mx + c

Where m is the slope of the line and c is the y-intercept of the line.

The function 3x + 2y = 8 and the other function is graphed.

Convert the standard linear function into slope-intercept form. Then we have

3x + 2y = 8

2y = 8 - 3x

y = 4 - (3/2)x

The y-intercept of the linear function is 4 and the y-intercept of the graphed line is also 4.

The two capabilities have a similar y-catch. Then, at that point, the right choice is A.

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It is false that the probability of an individual from this population will have a weight greater than 72 pounds is 0.31 instead it is 0.70

According to the question,

Weight of population follows normal distribution

Mean of population : u = 75 pounds

Population Standard deviation : σ = 5.9 pounds

We have to Check if the probability an individual from this population will have a weight greater than 72 pounds is 0.31

Probability that weight is greater than 72 = P( x > 72)

Subtracting by 75 both sides and then dividing by 5.9

=> P( x - 75 / 5.9 > 72 - 75 / 5.9)

Using Z-statistics,

=> P( z > -3/5.9)

=> P( z > -0.508)

=> 1 - P(z < -0.50)

Using Probability distribution table for z,

=> 1 -  0.305

=> 0.70

Which is not equal to 0.31

Hence, It is false that Probability that weight is greater than 72 is 0.31

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The statement that is the best interpretation of the mean is that the long-run average resulting from repeated sampling of members of the fitness center will approach 3.12 days per week.

The data of the number of days members visited a certain fitness center varied from 0 to 7.

The mean of the random variable x = 3.12

The mean of the random variable is also known as the long-run average value of a random variable.  

Hence, we conclude that the best interpretation of the mean in the given question is that the long-run average resulting from repeated sampling of members of the fitness center will approach 3.12 days per week.

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Total balance in Annette's charge account is $1727.12 with 6% of tax on all order.

The Latin phrase "per centum," which meaning "by the hundred," was the source of the English word "percentage." Fractions having a denominator of 100 are called percentages. In other words, it is a relationship where the value of the entire is always assumed to be 100.

Finding the percentage of a whole in terms of 100 is what percentage calculation refers to. A percentage can be found in one of two ways:

It should be noted that when the denominator is not a factor of 100, the second technique of percentage calculation is not applied. In these situations, we employ the unitary technique.

1 dozen of Rose costs = $30.96

1 dozen of chrysanthemums costs = $17.80

1 dozen of of tulips costs = $ 21.10

Total Spending = 16 dozens of roses + 40 dozen of chrysanthemums + 20 dozens of tulips

                         = 16 * 30.96 + 40 * 17.80 + 20 *21.10

                         = $1629.36

There is a 6% sales tax on all order = 6% of 1629.36 =  $ 97.76

Total balance in Annette's charge account is $ 97.76 + 1629.36 = $1727.12.

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Total balance in Annette's charge account is $1727.12 with 6% of tax on all order.

What is Percentage ?
The Latin phrase "per centum," which meaning "by the hundred," was the source of the English word "percentage." Fractions having a denominator of 100 are called percentages. In other words, it is a relationship where the value of the entire is always assumed to be 100.

Finding the percentage of a whole in terms of 100 is what percentage calculation refers to. A percentage can be found in one of two ways:

Use the unitary approach.
by adjusting the fraction's denominator to 100.
It should be noted that when the denominator is not a factor of 100, the second technique of percentage calculation is not applied. In these situations, we employ the unitary technique.
1 dozen of Rose costs = $30.96
1 dozen of chrysanthemums costs = $17.80
1 dozen of of tulips costs = $ 21.10
Total Spending = 16 dozens of roses + 40 dozen of chrysanthemums + 20 dozens of tulips
                        = 16 * 30.96 + 40 * 17.80 + 20 *21.10
                        = $1629.36
There is a 6% sales tax on all order = 6% of 1629.36 =  $ 97.76
Total balance in Annette's charge account is $ 97.76 + 1629.36 = $1727.12.

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The probability that the mean height x is between 68 and 70 inches is found as 37.28%.

The z-score is written as follows:

z = (x - μ)/σ

In which,

x =  between 68 and 70 inches.

μ = mean 69 inches

σ = standard deviation 6 inches

Put the values in the formula,

Probability that the mean height x is between 68 and 70 inches

P(68 < x < 70) = (68 - 69 / 6) < z < (70 - 69 / 6)

P(68 < x < 70) = (-0.16) < z < (0.16)

P(68 < x < 70) = 0.4364 - 0.0636

P(68 < x < 70) = 0.3728

P(68 < x < 70) = 37.28%

Thus, the probability that the mean height x is between 68 and 70 inches is found as 37.28%.

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The n expressed in terms of r and p is n=r/p.

How to solve the word problems?

Systems of linear equations must be used to solve some word problems. Here are some hints to help you determine when you need to create a system of linear equations in a word problem:

You must frequently create two distinct linear equations in two variables in order to solve these issues.

So, it is expressed as:

r=pn

n=r/p

Hence, The n expressed in terms of r and p is n=r/p.

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The general anti derivative or indefinite integral of the function

cos2x - sec²x is 1/2 sin2x + tan x + C .

The given function is of the form : cos2x - sec²x

Now we will use the indefinite integral on the above expression:

∫cos2x - sec²x

This can be broken into :

∫cos2x -  ∫sec²x

Now we will integrate them separately:

∫cos2x, we will use u-substitution.

Let 2x = u

Differentiation both sides we get:

2 dx = du

or, dx = 1/2 du

Hence we will use this value:

∫cos2x

= ∫cos u · 1/2du

= 1/2 ∫ cos u du

=1/2 sin u + C , where C is a constant.

Again we will do the second part of the integral:

∫sec²x

= tan x + C

Hence the required integral will be:

1/2 sin2x + tan x + C .

Now we will use differentiation to check the integral

d/dx (1/2 sin2x + tan x + C )

= d/dx (1/2 sin2x) + d/dx (tan x) + d/dx (C)

= cos 2x + sec² x

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4% is  the percentage rate of increase or decrease in exponential function.

What exactly makes a function exponential?

A mathematical function using the following formula is an exponential function: f (x) = an x. where an is a constant known as the function's base and x is a variable.

                    The transcendental number e, or roughly 2.71828, is the most often encountered exponential-function base.

We have,

y = 420( 1.04)ˣ

The equation represents exponential growth because the growth factor is greater than 1.

The general form equation is

y(x)= a(1-r)^x such that r is the growth percent.

    1 + r = 1.04

      r = 0.04 ⇒  4%

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Answer: t is the dependent variable  and x the independent variable

Step-by-step explanation: t is the dependent variable it depends upon the values of x that we put in.

x is the independent variable as we can use whatever values we want for x it is not affected by t

A system of equations that could be used to determine the number of cans of soup purchased and the number of frozen dinners purchased is; 300a + 450b = 6000 and a + 5 = b.

The variables x and y respectively represents  cans of soup and frozen dinners and a and b represents number of cans of soup and frozen dinners.

Let cans of soup be denoted by x

Let each frozen dinner be denoted by y

Now, we are told that each can of soup has 300 mg of sodium and each frozen dinner has 450 mg. Thus;

x = 300

y = 450

It is said that Samuel purchased 5 more frozen dinners than cans of soup  and they all collectively contain 6000 mg of sodium.

Let the no. of cans of soup be 'a' and no. of frozen dinner be 'b'. Thus, we will have the equation as;

ax + by = 6000

a(300) + b(450) = 6000  

300a + 450b = 6000      ------(1)

We are told that Samuel purchased 5 more frozen dinners than cans of soup. This can be represented by the equation;

a + 5 = b    ------(2)

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The distance the ride will go for birr 1350 is 130 kilometres.

The ride cost birr 50 to pick up and 10 birr per km. The distance you can go with birr 1350 can be calculated as follows;

Let's use equation to represent the total amount spent on the distance covered.

Therefore,

let

Hence,

y = 50 + 10x

Therefore,

where

y = 1350

y = 50 + 10x

1350 = 50 + 10x

1350 - 50 = 10x

1300 = 10x

divide both sides by 10

x = 1300 / 10

x = 130 km

Therefore, the ride will go 130 km.

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The random variables that count the number of heads and the number of tails that come up when two fair coins are flipped .

Given :

Let X and Y be the random variables that count the number of heads and the number of tails that come up when two fair coins are flipped. Click and drag statements to show that X and Y are not independent. Therefore, X and Y are not independent .

Although there are lots of other ways to show

that they’re independent, it’s enough to show that

P ( XY ) = P ( X ) P ( Y ). First note that P ( X ) and

P ( Y ) are both 1. Next to compute P ( XY ). With

P ( XY ) = 1/4 * 0 + 1/2 * 1 + 1/4 * 0

= 1/2

therefore X and Y are not independent random variables

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Answer:

idrk i would at least need how many hours he gardens and how many hours he mows the lawn, for just mowing the lawn he would need to do that for 20 hours completely, for gardening he would need to work 15 hours.

Step-by-step explanation: yaaa

Step-by-step explanation:

How do you form the complex conjugate of a complex nuciu

Billy has already saved 25% of the total cost.

What is percentage?

A percentage in mathematics is a number or ratio that may be stated as a fraction of 100.In determining a percentage of a number, we should first divide it by 100 before multiply the outcome by 100. As a result, the proportion refers to a part per 100. The word "percent" refers to a fraction of one hundred. The letter "%" stands for it.

Given that, the cost of the DVD is $64.

He saved $16 for the DVD.

The percent of saving

= Saving amount/ cost of DVD × 100%

= (16/64) × 100%

= 0.25 × 100%

= 25%.

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The simplified form of the given logarithmic expression as required in the task content bis Choice B; 2log8.

It follows from the task content that the simplified form of the logarithmic expression is to be determined as a single log term.

On this note, since the given expression is;

2log2 + 2log4

It follows from factorisation that we have;

2 ( log 2 + log 4 )

Therefore, the expression in the parentheses can be simplified as a single log term using the sum of logarithms law as follows;

= 2 ( log ( 2 × 4 ) )

= 2 log 8.

Ultimately, the answer choice which represents the simplified form of the expression as a single log term is; Choice B; 2 log 8.

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A (3 + 1/2) inches line represents a real distance of 5.985 miles.

First, we know that a (5 + 1/4) inch line on a map represents a 9 mile road, then the conversion from miles to inches is given by the quotient between these two, we will get:

9mi/(5 + 1/4) in = 9mi/(5.25) in = 1.71 mi/in

So, any distance in inches can be multiplied by the above number to get the corresponding measure in miles.

Then for (3 + 1/2) inches we will get:

(3 + 1/2) in*1.71 mi/in = 5.985 mi

So a line of (3 + 1/2) inches has represents a distance of 5.985 miles.

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Answer:

Since YA=AX, XB=BZ, ZC=CY, it follows that A, B and C are the midpoints of the sides TX, XZ, ZY. AB, BC, AC are parallel to the sides and equal to their half. In fact, AB = YC=ZC. Therefore BC=AY.)

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Step-by-step explanation:

Answer:

Read explanation :)

Step-by-step explanation:

Activity 1: When it says direction it refers to the tiles going horizontal and vertical for example the 4 and 9 going vetical to make vertical you must first add 4 + 9 which equals 13 then add a 2 under the 9 so it equals 15. And for 8 and 4 horizontal you must add 8 + 4 which equals 12 so add a three in between the 8 and 4 and for the 7 there is a two on the right of it so add 7 + 2 to equal 9 then add 6 to equal 15 then add a 1 in between the 8 and the 6 to equal 15 and add the 5 in the middle.

Activity 2: On the addition table on the left side of the table the number is the number you add to the number on top for example: the 2 at the top of the table plus the 6 on the same vertical line going down so it would be 2 + 6 which equals 8 as it tells you the answer and for 7 on the left side of the table and 3 at the top of the table with the vertical line would be 7 + 3 which equals 10.

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Answer:

C(3, −3), D(−2, −3)

Step-by-step explanation:

The distance from point A to point B is 5 units.

The width of the rectangle is 5 units.

The length must be 6 units to have an area of 30 square units.

Points C and D must be 6 units below points A and B.

Their coordinates must be (-2, -3) and (3, -3).

Answer: C(3, −3), D(−2, −3)

Coefficient Cn is determined by Cn = 1/2 ∫[0,2] (x+2)yn(x) dx

To find the coefficients Cn of the eigenfunction expansion of a function f(x), f(x) must be expanded with the eigenfunction yn(x). The expansion of f(x) with respect to the eigenfunction yn(x) is given by

f(x) = Σ[∞], n=1 cnyn(x)

To find the coefficient cn, we need to compute the dot product of f(x) and yn(x).

cn = (f,yn) = ∫[0,4]f(x)yn(x)dx

Since the eigenfunctions yn(x) are orthonormal, the scalar product is given by

cn = ∫[0,4]f(x)yn(x)dx = ∫[0,2]f(x)yn(x)dx + ∫[2,4]f(x)yn(x)dx

Since f(x) = 2/2 x for x in [0,2] and f(x) = 2 for x in [2,4], compute the coefficient cn as I can do it.

cn = ∫[0,2](2/2x)yn(x)dx + ∫[2,4](2)yn(x)dx

= ∫[0,2]xyn(x)dx + ∫[2,4]2yn(x)dx

= 1/2 ∫[0,2] (xyn(x) + 2yn(x)) dx

= 1/2 ∫[0,2] (x+2)yn(x) dx

Therefore, the coefficient Cn is given by

Cn = 1/2 ∫[0,2] (x+2)yn(x) dx

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Answer:

We can solve this problem using the elimination method, and in the elimination method we need to change equations so that one of the variables (either x or y) is eliminated. to do this, we can multiply one or both of the equations by constants so that the coefficients of one of the variables becomes equal so we can eliminate it from the equation. This will allow us to add the equations together and eliminate that variable.

For example, we could multiply the first equation by -5 and the second equation by 6, to get:

-30x + 10y = -20

-30x + 48y = 270

Then, we can add these equations together to eliminate the x variable:

-30x + 10y = -20

-30x + 48y = 270

-60x + 58y = 250

We can then solve for y by dividing both sides of the equation by 58:

y = 250 / 58

y = approximately 4.31

Once we have the value of y, we can substitute it back into one of the original equations to solve for x. for example, if we substitute it into the first equation, we get:

6x + 2 * 4.31 = 4

6x = 4 - 8.62

6x = -4.62

x = -0.77

Therefore, the solution to the system of equations is x = -0.77 and y = 4.31.

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From the given Isosceles trapezoid ABCD, the three correct statements are:

∠ADC ≅ ∠BCD

AD ≅ BC

AC ≅ BD

An isosceles trapezoid is a trapezoid with equal base angles and hence equal left and right side lengths.

Particularly in isosceles trapezoids, there are unique correlations. "Equal legs" is what the term "isosceles" denotes. Non-parallel sides on isosceles trapezoids have the same lengths. The "legs" are another name for these equal sides.

A triangle with two equal sides is said to be isosceles. Also equal are the two angles that face the two equal sides. A triangle with two congruent sides is referred to as being isosceles, in other words.

Thus, three correct statements are -

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