can someone help please and I will give brainliest :))

In the trapezoid ABCD , when AB || DC and M, N are the midpoint of AD and BC then the value of AB , DC , and MN is equal to 26, 10, and 18 respectively.

In trapezoid ABCD,

AB || DC

AB = 7x + 5

DC = 4x -2

MN = 5x + 3

Using midpoint segment of two parallel lines in a trapezoid we have,

( AB + DC ) / 2 = MN

Substitute the value of AB, DC, and MN we get,

⇒ ( 7x + 5 + 4x -2 )/ 2 = 5x + 3

⇒11x + 3 = 10x + 6

⇒x = 3

⇒ AB = 7(3) + 5

         = 26

DC = 4(3) -2

      = 10

MN = 5(3) + 3

      = 18

Therefore, the value of AB, DC, and MN in the trapezoid ABCD is equal to 26, 10, and 18 respectively.

The above question is incomplete, the complete question is :

The drawing shows trapezoid ABCD with AB||DC; also, M and N are midpoints of AD and BC, respectively. Given: AB=7x+5, DC=4x−2, and MN=5x+3 find the value of AB, DC, and MN for the calculated value of  x.

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Answer:

To evaluate the function when x = -1, 0, and 4, we need to substitute those values into the equation and solve for y.

1. When x = -1,

y = -2(-1) - 4

y = 2 - 4

y = -2

2. When x = 0,

y = -2(0) - 4

y = -4

3. When x = 4,

y = -2(4) - 4

y = -8 - 4

y = -12

So, the function has the values of -2, -4, and -12 when x = -1, 0, and 4 respectively.

There is no relation between the number of people living and the number of pets. The correct option is D.

Scatter plots are used to visually observe and plot relationships between two numerical variables. The values of each individual data point are represented by the dots in a scatter plot.

The scatter plot is showing the data between the number of people living and the number of pets.

In the scatter plot, there is not any perfect relation between the number of people living in a room and the number of pets.

The correct option is D.

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False. A positive correlation occurs when as one variable increases, the other one also increases.

It does not specify the direction of the change. On the other hand, a negative correlation occurs when one variable decreases as the other one increases. In other words, the variables are inversely related. In a positive correlation, the variables move in the same direction, while in a negative correlation, they move in opposite directions. It's important to note that correlation does not imply causation.

A positive correlation is a statistical relationship between two variables, where an increase in one variable is associated with an increase in the other variable, and a decrease in one variable is associated with a decrease in the other.

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If Ralph jut received hi june flah card bill. He did not pay hi may bill in full, o hi june bill how a previous balance & a finance charge. Ralph’ finance charge is:  $0.588.

First, calculate the monthly periodic rate (MPR) from the annual percentage rate (APR):

MPR = APR / 12

MPR = 1.5% / 12 = 0.125%

Next, calculate the finance charge by multiplying the average daily balance by the MPR:

Finance charge = Average daily balance * MPR

Finance charge = $470 * 0.125% = $0.588

Therefore  Ralph's finance charge for June should be $0.588.

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By using the shell method to find the volume of the solid generated when R is revolved about the y-axis is V = 2π∫3⁹(11−x0)x0(11−x0−dx)dx

The volume of a solid that is generated by rotating a region about a given axis is called the volume of revolution. One of the methods to find the volume of revolution is the shell method.

Let's consider the region R bounded by the curves y = 11−x, y = 0, x = 3, x = 9 and find its volume when it is revolved about the y-axis.

The first step is to sketch the region R in the xy-plane. The curves y = 11−x and y = 0 intersect at x = 11, y = 0. The region R is a trapezoid with height 11 and bases 3 and 9.

Next, we need to find the expression for the volume of a thin shell of thickness dx, whose axis is along the y-axis.

Let us consider a thin shell at x = x0. The height of the shell at x = x0 is given by 11−x0. The inner and outer radii of the shell are given by y = 11−x0 and y = 11−x0−dx respectively.

The volume of the shell is given by the formula:

=> V = 2π(y2−y1)x0 = 2π(11−x0)x0(11−x0−dx)

We can now integrate this expression over x0 to find the total volume of the solid.

The limits of integration are x0 = 3 and x0 = 9. The volume of the solid is given by:

V = 2π∫3⁹(11−x0)x0(11−x0−dx)dx

Solving this definite integral will give us the volume of the solid.

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By assessing performance on memory and recognition tests, as well as the accuracy of answers to fill-in-the-blank and multiple choice questions, Roediger & Karpicke operationalized the dependent variable.

The dependent variable was operationalized by Roediger & Karpicke by evaluating how well subjects performed on memory and recognition tests. Participants responded to fill-in-the-blank and multiple choice questions to achieve this as well as the accuracy of answers to fill-in-the-blank and multiple choice questions, Roediger & Karpicke operationalized the dependent variable. The results of these tests were then utilized to gauge both the participants' recall recall and the accuracy of their responses. The replies were compared to the answer key and their correctness was scored in order to determine how accurate they were. This made it possible for the researchers to more precisely gauge how their independent factors affected the dependent variable.

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The coordinates of the point S after translation will be -

S'(0, - 2).

Given is that triangle ΔRST is translated so that point R (-2, 1) is mapped to point R’ (2, -4).

The triangle is translated according to the rule as follows -

(x, y) → (x + 4, y - 5)

For the point S(-4, 3), we can write -

S(-4, 3) → S'(0, - 2)

Therefore, the coordinates of the point S after translation will be -

S'(0, - 2).

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Answer: 920?

20 charachters euhfiwudhfiuwefhiuhrieuhwdfiuhriurh

At this rate, the amount of sauce and cheese which Paula would use to make 5 pizzas is: B. Paula will use 35 oz of sauce and 20 oz of cheese to make 5 pizzas.

In Mathematics, a proportion can be defined as an equation which is typically used to represent the equality of two (2) ratios. This ultimately implies that, proportions can be used to establish that two (2) ratios are equivalent and solve for all unknown quantities.

By applying direct proportion to the given information, we have the following number of sauce:

4 pizzas = 28 sauce

5 pizzas = X sauce

Cross-multiplying, we have:

X sauce = 5/4 × 28

X sauce = 35 sauces.

By applying direct proportion to the given information, we have the following number of sauce:

4 pizzas = 16 cheese

5 pizzas = X cheese

Cross-multiplying, we have:

X cheese = 5/4 × 16

X cheese = 20 cheese.

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Answer:

0.28 meters per second

Step-by-step explanation:

1 hour = 3600 seconds

1km = 1000 meters

1000 divided by 3600 = 0.28 meters per second

So, the speed of the train is 0.28 meters per second.

Answer:

The speed of the train is 22.22 meters per second.

Step-by-step explanation:

1 hour = 3600 seconds

1km = 1000 meters

80KM=80000

80000/3600 = 22.22

So, the speed of the train is 22.22 meters per second.

The vertex form of the parabola y = 4 · x² - 4 · x + 3 is the equation y - 2 = 4 · (x - 1 / 2)².

In this problem we find the case of the equation of a parabola in standard form, whose vertex form has to be found. These forms are described below:

Standard form

y = a · x² + b · x + c

Vertex form

y - k = C · (x - h)²

Where:

This can be done by completing the square, an application by algebra properties. First, write the equation of a parabola in standard form:

y = 4 · x² - 4 · x + 3

Second, use algebra properties until vertex form is found:

y - 3 = 4 · (x² - x)

y - 3 + 4 · (1 / 4) = 4 · (x² - x + 1 / 4)

y - 2 = 4 · (x - 1 / 2)²

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The expected value of buying car insurance is $794.5.

Insurance is a contract between an individual or entity and an insurance company, in which the insurance company agrees to provide financial protection or reimbursement against losses in exchange for payment of premium. It is a form of risk management, mainly used to hedge against the risk of a contingent or uncertain loss.

The expected value of buying car insurance is the sum of the product of the value and the probability of each outcome. To calculate the expected value, we multiply the probability of having an accident by the average coverage paid ($2,500), and add it to the product of the probability of not having an accident multiplied by the insurance cost ($600).

So, expected value = (0.105 * $2,500) + (0.895 * $600) = $267.5 + $527 = $794.5

Therefore, the expected value of buying car insurance is $794.5.

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Answer:

To calculate Tom's new average, you need to know the total number of runs he scored in the three matches and the total number of runs he scored in the recent two matches.

You can use the following formula to calculate the new average:

New Average = (Total Runs + Recent Runs) / Total Matches

First you need to find the total runs he scored in the first 3 matches:

74 (average) * 3 (number of matches) = 222 runs

Then you need to find the total runs he scored in the recent two matches:

42 (runs in match 1) + 31 (runs in match 2) = 73 runs

Now you can find the new average by adding the total runs in recent two matches and total runs in the first 3 matches and divide it by the total number of matches:

(222 + 73) / 5 = 295 / 5 = 59

So, Tom's new average is 59 runs.

Answer: 59

Step-by-step explanation:

Please refer to the image below:

If the 1/12 scale model of the rocket stood 48 inches high. The height of the actual rocket is 576 inches.

A ratio box can be defined as a tool that can be used to set up and solve proportion problems.

In order to use a ratio box to solve this problem, we can set up the following proportion:

Scale model height / Actual rocket height = 1/12

48 inches / actual rocket height = 1/12

To solve for the actual rocket height, we can cross-multiply and divide:

48 inches××12 = actual rocket height

Actual rocket height = 576 inches

Therefore the height of the actual rocket is 576 inches.

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If Bentonville Police Department confiscated 10(5/7) kg of cocaine from a drug but sealed in 25 plastic bag , the Kilogram of cocaine in each bag is  0.43 Kg .

The amount of cocaine confiscated by Police = 10(5/7) = 75/7 kilograms

The number of plastic bags in which the cocaine was found is = 25 .

To determine the weight of cocaine in each bag, the total amount of cocaine was divided by the number of bags.

substituting the required value ,

we get ;

⇒ [75/7]/25 = 3/7 = 0.428571 ≈ 0.43 .

Therefore , there was 0.43 Kg of Cocaine present in each bag .

The given question is incomplete , the complete question is

The Bentonville Police Department confiscated 10(5/7) kg of cocaine from a drug but . If the cocaine was found in 25 sealed, plastic bag, how many kilogram of cocaine was in each bag .

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Answer:

  C, D

Step-by-step explanation:

You want to know possible rational roots of x⁴-6x³-19x² +84x+180.

The rational root theorem tells you any rational roots will be fractions of the form ...

  ±(divisor of the constant)/(divisor of the leading coefficient)

Here, the coefficient of x⁴, the leading coefficient, is 1. So any rational roots will be divisors of ±180. Those divisors are (plus or minus) ...

  1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180

The highlighted values are ones that are answer choices.

__

Additional comment

An estimate of the upper bound of the magnitude of the roots would be ...

  [tex]2\max(\sqrt[4]{180},\sqrt[3]{84},\sqrt{19},6)=12[/tex]

The rational root theorem allows roots larger than this.

The roots of this polynomial are actually {-3, -2, 5, 6}.

The equivalent expression to 7/8+3/8x-3/4y-1/2 is given as follows:

3x/8 - 3y/4 + 3/8.

Equivalent expressions are expressions that have the same result when they are simplified.

The expression for this problem is defined as follows:

7/8+3/8x-3/4y-1/2.

The expression is simplified combining the like terms.

The like terms are given as follows:

Combining(adding) the like terms, the simplified expression is given as follows:

3x/8 - 3y/4 + 3/8.

As none of the options are this one, I suppose that there was a typing mistake either in the expression or in the options.

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The energy of the light is less than the work function of Lithium (2.11 eV < 2.90 eV), the light will not have enough energy to remove electrons from the material.

To find this we have the work function of Lithium is 2.90 eV, which is a measure of the minimum energy required to remove an electron from the surface of the material. The energy of light is proportional to its frequency (E = hf) or its wavelength (E = hc/λ), where h is Planck's constant, c is the speed of light, and λ is the wavelength of the light.

Given the wavelength of light as 1850 nm, we can calculate its energy as follows:

E = hc/λ = (6.63 x [tex]10^{-34}[/tex]Js) (3 x [tex]10^8[/tex] m/s) / (1850 x [tex]10^{-9[/tex]m)

= 3.38 x [tex]10^{-19[/tex] J

Since 1 eV = 1.6 x [tex]10^{-19[/tex] J, the energy of the light can be converted to eV as follows:

E (eV) = 3.38 x [tex]10^{-19[/tex] J / (1.6 x [tex]10^{-19[/tex] J/eV) = 2.11 eV

Since the energy of the light is less than the work function of Lithium (2.11 eV < 2.90 eV), the light will not have enough energy to remove electrons from the material.

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The price p which the first coupon code give him a better deal is less than $99.93. The inequality he can use is the first coupon code will give Samir a better deal.

We can find the value of "p" by solving the inequality.

        (1 - 0.05) * p + 0 < (1 - 0.20) * p + 14.99

This inequality compares the total cost (price minus discount plus shipping) of using the first coupon code on the left-hand side and the total cost of using the second coupon code on the right-hand side. If the left-hand side is less than the right-hand side, then the first coupon code gives a better deal.

Solving for p, Samir can find the minimum price at which the first coupon code is a better deal.

        0.95 * p + 0 < 0.80 * p + 14.99

        0.95 * p < 0.80 * p + 14.99

       0.15 * p < 14.99

        p < 99.93

So, if the price "p" is less than 99.93, the first coupon code will give Samir a better deal.

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What I think about the problem is that there are no specific rules to tackle it, but with careful analysis I have deduced the answer for the total dots in the 50th hexagon to be 7701 dots.

To find the total number of dots in the 50th hexagon, we can use the formula for finding the number of dots in the nth hexagon, where n is the number of the hexagon. The formula is:

Dots = 3n^2 + 3n + 1

Substituting n = 50, we get:

Dots = 3 * 50^2 + 3 * 50 + 1

= 7550 + 150 + 1

= 7701

So, there are 7701 dots in the 50th hexagon.

To think about the problem, we can observe that each additional hexagon added to the previous one will add 3 dots to the total count. This is because each new hexagon adds 3 sides to the previous hexagon, each side having one dot. And, each new hexagon will also add one additional dot to the center.

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To find the unit rate, we need to divide the price of the chips by the number of ounces:  for every ounce of chips, it cost $0.08

The denominator of a unit rate is always 1. Divide the denominator by the numerator such that the denominator equals one in order to calculate the unit rate.

For instance, the unit rate is 50 km/5.5 = 9.09 km/hour if 50 km are traveled in 5.5 hours. An item's unit rate is its price for one of it. This is expressed as a ratio with a one as the denominator. For instance, if you covered 70 yards in 10 seconds, you covered 7 yards on average every second. 70 yards in 10 seconds and 7 yards in 1 second are both ratios, although only the latter is a unit rate.

Unit rate = Price / Number of ounces

Unit rate = $1.20 / 15 ounces = $0.08 per ounce

So the unit rate is $0.08 per ounce. This means that for every ounce of chips, it cost $0.08

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The inequalities that the represents the graph is;  y < 1 and y  ≥ x

The general form of the equation of a line in slope intercept form is;

y = mx + c

where;

m is slope

c is y-intercept

Now, when the line is horizontal line is parallel to the x - axis, the equation is y equal to the number that the line crosses.

Now, Inequalities that use < or > symbols are plotted with a dashed line to show that the line is not included in the region. Thus, the horizontal line has the inequality; y = 1 But since the shading is below, then we have; y < 1

Now, the solid line shows that the symbol used is ≤ or ≥.

In this case, the x-values and the corresponding y-values are the same and as such we have; y = x

However, since the shading is above, then we have;

y  ≥ x

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Answer:

A

Step-by-step explanation:

x² - 12x + 35

consider the factors of the constant term (+ 35) which sum to give the coefficient of the x- term (- 12)

the factors are - 5 and - 7 , since

- 5 × - 7 = + 35 and - 5 - 7 = - 12 , then

x² - 12x + 35 = (x - 5)(x - 7) ← in factored form

The sequence after the first iteration of a radix sort is radixgoxt (arr) [03,10,15,20,26,32,47,53].

The sequence will not be one of the given sequences after the first iteration of a radix sort.

In radix sort, the elements are sorted based on the digits in their least significant position and then moving towards the most significant position. After each iteration, the elements will be rearranged based on the current significant position being considered.

For example, in the first iteration, the elements could be sorted based on the unit's place (i.e., the least significant position) in the following order: [03,10,15,20,26,32,47,53].

In the next iteration, the elements could be sorted based on the tens placed in the following order: [03,10,15,20,26,32,47,53].

And so on, until all the significant positions have been considered and the elements have been rearranged into their final sorted order.

Therefore, the sequence after the first iteration of a radix sort will depend on the sorting method used and the specific implementation of the algorithm

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Answer:

{3,4,5,.........,49,50}

Step-by-step explanation:

All these numbers are greater than 2, but less than 51.

If "r" is an odd function, "s" is an even function , then the function "s(x) × s(x)" will be an (a) Even Function .

A function is considered as Even Function if it satisfies : f(x) = f(-x) for all x in its domain, and

A function is considered as Odd Function if it satisfies : f(x) = -f(-x) for all x in its domain.

The product of two even functions is even, because if f(x) and g(x) are both even, then

⇒ (f(x) × g(x)) = (f(-x)) × (g(-x)) = f(-x) × g(-x) = f(x)g(x),

So, f(x)g(x) is also even.

In this case, since the function "s" is an even function, So , "s(x) × s(x)" is also Even .

The given question is incomplete , the complete question is

Assume that "r" is an odd function, "s" is an even function, and both "r" and "s" are defined on the entire real line R. Are the following functions even or odd?

Is "s(x) × s(x)" even or odd ?

(a) even function

(b) odd function

(c) neither

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The total price the store charges to deliver $140 worth of groceries will be $4.20.

It should be noted that the certain grocery store charges a fee of 3% of the total bill to have groceries delivered. A percent is a relative figure that represents the hundredth part of any amount. One percent (symbolized 1%) is one hundredth part; consequently, 100 percent denotes the complete amount and 200 percent defines twice the supplied amount. percentage. Mathematics percentile is a related topic.

Therefore, the total price the store charges to deliver $140 worth of groceries will be:

= Percentage charged × Cost

= 3% × $140

= 0.03 × $140

= $4.20

The amount charged is $4.20.

The entire cost for the retailer to deliver $140 worth of goods is $4.20.

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The measure of angle SQR for the given set of supplementary angles is found as 72°.

By the definition of supplementary angles:

6x + 4x = 180

10x = 180

x = 18

measure of angle SQR : 4x

4x = 4*18

measure of angle SQR = 72°

Thus, the measure of angle SQR for the given set of supplementary angles is found as 72°.

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