Acellus; Perimeter, Circumference, and Area II

Scale Factor is equal to [tex]\frac{2}{3}[/tex]. Length of EH is equal to 16 units and length of AB is equal to 9.

4. A scale factor is the ratio of the scales of an original object and a new object.

Scale factor = Ordinated dimension / original dimension

Scale factor = [tex]\frac{10}{15}[/tex]

Scale factor = [tex]\frac{2}{3}[/tex]  (or) 0.67

5. Length of EH

Scale factor = [tex]\frac{EH}{AD}[/tex]

[tex]\frac{EH}{AD}[/tex] = [tex]\frac{2}{3}[/tex]

[tex]\frac{EH}{24} = \frac{2}{3}[/tex]

EH = 2 * 8

EH = 16 units

6. Length of AB

Scale factor = [tex]\frac{EF}{AB}[/tex]

[tex]\frac{EF}{AB}[/tex] = [tex]\frac{2}{3}[/tex]

[tex]\frac{6}{AB} = \frac{2}{3}[/tex]

AB = 3 * 3

AB = 9 units.

Therefore, Scale Factor is equal to [tex]\frac{2}{3}[/tex]. Length of EH is equal to 16 units and length of AB is equal to 9.

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The sample mean protein concentration obtained using the Bradford method for protein analysis is 1.00 mg/ml.

We must add together all the protein concentrations and divide the total by the number of observations in order to determine the sample mean for the protein concentrations acquired using the Bradford technique for protein analysis.

We have ten identical protein samples in this instance, and the measured protein concentrations are as follows:

Protein concentration (mg/ml) observations: 1: 1.02, 2: 0.98, 3: 0.99, 5: 1.01, 6: 0.97, 8: 1.00, 9: 1.03, and 10: 1.01.

We add up the protein concentrations and divide the total by the number of observations to determine the sample mean:

[tex](1.02 + 0.98 + 0.99 + 1.01 + 1.03 + 0.97 + 1.00 + 0.98 + 1.03 + 1.01) / 10[/tex] is the sample mean.

= 1.00 mg/ml

As a result, the Bradford method for protein analysis yielded a sample mean protein content of 1.00 mg/ml.

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Answer:

-0.06666666666

hope it helps :)

Answer: 30 album pages

Step-by-step explanation:

cards = 10

teams = 24

total cards = 240

240 / 8 = 30

Larger the value of r² (R²) imply that the observations are more closely grouped about the least squares line (regression line) option C.

The dependent variables on the y-axis and the independent variables on the x-axis are shown as a linear connection by a regression line. By examining the data pattern the variables' effects have created, the correlation is established.

As the (R2) is large therefore, the model is a good fit or bounded close to  regression line least squares line (regression line).

In a regression graph, the regression line that is closest to the data points is shown. By changing the value of x in the regression equation, this statistical tool helps study how a dependant variable y behaves when the independent variable x changes.

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Complete question:

Larger values of r2 (R2) imply that the observations are more closely grouped about the

Group of answer choices:

Therefore , the solution of the given problem of probability comes out to be the response is A 1/9.

The primary goal of the systems inside a procedure known as criteria is to determine the average possibility that a statement is true or that a specific occurrence will occur. Any value from 0 to 1, when 0 is frequently utilized to denote that something is likely and 1 is typically used to denote a level of confidence, can be used to represent chance. The chance that a specific event will occur is displayed in a probability diagram.

Here,

If a 6 is rolled on the first roll, the probability of spinning a number less than 5 on the second roll is 2/3,

since there are the four possible outcomes on the third roll that are less than 5 (rolling a 1, 2, 3, or 4) out of an overall of six possible outcomes (rolling any plenty from 1 to 6),

so the probability of a favorable outcome is 4/6, which simplifies to 2/3.

As a result, the likelihood that a 6 will be rolled on the first roll and a figure less than 5 will be rolled on the second roll is:

=> (1/6) x (2/3) = 1/9

As a result, the response is A) 1/9.

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Micah received 1/2 of Savi's share and Juan got the balance.

"A method to find a single unit value from a multiple unit value and to find a multiple unit value from a single unit value."

We always count the unit or amount value first and then calculate the more or less amount value.

For this reason, this procedure is called a unified procedure.

Many set values ​​are found by multiplying the set value by the number of sets.

A set value is obtained by dividing many set values ​​by the number of sets.

According to our question-

total amount = $280=x

savi= 4*juan= 11

micah= 1/2 savi= 1/2*280/100= 1.4

juan got balance= 267.6

Hence, Micah received 1/2 of Savi's share and Juan got the balance.

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One possible technique to address heteroscedasticity with group-specific variances is the use of weighted least squares (WLS) estimation, where observations from each group are assigned weights that are inversely proportional to the variance of the error term in that group.

Heteroscedasticity refers to the situation where the variance of the error term in a regression model is not constant across different levels of the independent variable(s). This violates the assumption of homoscedasticity, which can lead to biased and inefficient estimates of the model parameters.

When the heteroscedasticity is related to group-specific variances, a possible solution is to use WLS estimation. This involves calculating weights for each observation based on the inverse of the estimated variance of the error term in its group. By doing so, observations with larger variances are given smaller weights, while observations with smaller variances are given larger weights, which effectively downweighs the influence of more variable observations.

The resulting WLS estimator is more efficient and less biased than the standard OLS estimator, and it can lead to more accurate inferences about the relationship between the independent and dependent variables. However, WLS requires the researcher to specify the appropriate weights for each observation, which can be challenging and subjective in practice.

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Answer:

search up the answers

Step-by-step explanation:

As per the unitary method, Jackson needs 64 tablespoons of lemonade mix to make 4 quarts of lemonade. (option D).

First, we need to convert the 4 quarts of lemonade into ounces since we know the ratio in terms of ounces. One quart is equal to 32 ounces (8 oz per cup and 4 cups per quart). So, 4 quarts would be equal to 128 ounces (32 oz x 4).

Next, we need to determine how much lemonade mix is needed for every 6 ounces of water.

Therefore, the ratio of lemonade mix to water is 3 tablespoons/6 ounces.

Now that we have the ratio, we can use it to find out how much lemonade mix is needed for 128 ounces of water (4 quarts). We can set up a proportion using the ratio we just found:

3 tbsp / 6 oz = x tbsp / 128 oz

We want to solve for x, which represents the amount of lemonade mix needed for 128 ounces of water. To solve for x, we can cross-multiply and simplify:

3 tbsp x 128 oz = 6 oz x

384 tbsp oz = 6x

x = 64 tbsp

So the answer is D) 64 tbsp.

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Answer:

(x+6)(x+6)

[tex]x^2+12x+36[/tex]

(x+8)(x-5)

[tex]x^{2}+3x-40\\[/tex]

(x-5)(x-2)

[tex]x^{2}-7x+10[/tex]

Step-by-step explanation:

Brainliest pls hope it helped^^

Answer:

a) x^(2)+12x+36

b) x^(2)+3x-40

c) x^(2)-7x+10

Step-by-step explanation:

The most conservative cutover method when converting to a new system is the Phased Cutover.

This method allows for the implementation of the new system in multiple stages, thereby reducing risk. First, the new system is installed and tested. Next, a small portion of data is moved to the new system.

After data is moved, the new system is tested again. This process is repeated until all data has been moved and tested, and the new system is running smoothly.

Once the new system is running successfully, the old system is discontinued.

The phased cutover method ensures that the new system is functioning correctly, and gives time for system users to get used to the new system, before the old system is turned off.

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Answer:

7cm to square centimeters is  2.6458 centimeters

Step-by-step explanation:

The total amount of money shared between Rui Feng and Vishal is 154 dollars.

Let's assume that the amount of money shared between Rui Feng and Vishal is x dollars.

According to the given ratio, the amount of money received by Rui Feng is 5/14 of the total amount, and the amount received by Vishal is 9/14 of the total amount.

We are also given that Rui Feng receives 44 dollars less than Vishal. We can express this as:

9/14 x - 5/14 x = 44

Simplifying the equation, we get:

4/14 x = 44

Multiplying both sides by 14/4, we get:

x = 154

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Therefore , the solution of the given problem of angles comes out to be the right response is option d 122°.

Using Cartesian coordinates, the top and bottom walls divide the circular lines that make up a skew's ends. There is a chance that two poles will meet at a junction point. Angle is another outcome of two things interacting. They mirror dihedral forms the most. A two-dimensional curve can be created by arranging two line beams in various ways at their extremities.

Here,

180 degrees is the length of a straight circle. It has been split into a 58-degree angle and an unidentified angle, as far as we are aware. So that we can determine the size of the undetermined angle, let's use subtraction:

=> Angle unknown = 180 degrees minus 58 degrees

=> Angle unknown = 122 degrees

As a result, the undetermined angle is 122° in size.

The right response is (d) 122°.

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The given data comprises of a right triangle in which the base is denoted by x whose value is found to be 10.01.

It states that the ratio of the length of the side opposite to the angle to the length of the hypotenuse is equal to the sine of the angle.

The given data comprises of a right triangle in which the base is denoted by x and the perpendicular is 8. The angle formed between the base and hypotenuse is 53 degree.

To solve this problem, we can use the trigonometric identity of sine.

Mathematically, it can be expressed as:

sin 53° = Perpendicular/Hypotenuse

8/x = sin 53°

x = 8/sin 53°

x = 8/ 0.7986

x ≈ 10.01

Hence, the value of x is 10.01.

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Therefore, the distance between the two points is simply the difference in their x-coordinates, this makes sense since both points lie on the same horizontal line, and so the vertical distance between them is zero.

Distance is a numerical measurement of how far apart two objects or points are from each other. It is a scalar quantity that is usually expressed in units of length, such as meters, kilometers, miles, or feet. Distance is often used in physics, mathematics, and engineering to describe the spatial separation between two objects or points. It is also used in everyday language to describe how far away something is, such as the distance between two cities or the distance from a person's house to their workplace.

By the question.

The distance between two points on a coordinate plane can be found using the distance formula:

distance =[tex]\sqrt{(x_{2}-x_{1})^{2}+ (y_{2}-x_{1}^{2} ) }[/tex]

In this case, the two points are (0, b) and (a, b). We can substitute these values into the distance formula:

distance = [tex]\sqrt{(a-0)^{2}+(b-b)^{2} }[/tex]

distance = [tex]\sqrt{a^{2}+0 }[/tex]

distance = a

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Let's set up the cost constraint inequality.

x = number of large fish, some nonnegative integer

y = number of small fish, some nonnegative integer

8x = cost of just the large fish only

3y = cost of just the small fish only

8x+3y = total cost

The total cost must be $100 or smaller, so Alanna keeps to her budget.

We form the inequality 8x+3y ≤ 100 as the cost constraint.

Because x and y are nonnegative, this means x ≥ 0 and y ≥ 0

----------------

Now let's form the water constraint inequality.

x = number of large fish

y = number of small fish

2x = amount of water needed for the large fish only

0.5y = amount of water needed for the small fish only

2x+0.5y = total amount of water needed

This total must be 15 gallons or fewer.

2x+0.5y ≤ 15

Let's multiply both sides by 2 to make that 0.5 turn into a whole number.

2x+0.5y ≤ 15

2*(2x+0.5y) ≤ 2*15

4x+y ≤ 30

This represents the water constraint.

----------------

Here are the inequalities we found

8x+3y ≤ 100

4x+y ≤ 30

x ≥ 0

y ≥ 0

The first two items represent the cost constraint and water constraint in that order. The last two items make sure that x and y can't be negative.

Valid (x,y) solutions will be found in the shaded region of that system of inequalities. Points on the boundary are included in the shaded region due to the "or equal to" as part of each inequality sign.

Below is the graph of this system of inequalities. I used Desmos to make the graph. GeoGebra is another good choice. Let me know if you need to make the graph by hand rather than use technology.

The purple shaded region represents all possible (x,y) solutions.

For example, (5,5) is in that shaded region. I've marked it in the drawing below. This means x = 5 large fish and y = 5 small fish can be bought. Alanna will stick to her budget and she'll have enough water to go around.

On the other hand, (5,25) is NOT in the shaded region. This means Alanna cannot buy x = 5 large fish and y = 25 small fish (she'll either go over budget or she won't have enough water, or both happens).

Child is prescribed amoxicillin to be given 3 times per day. If she weighs 81 pounds, the maximum dose that she should receive is 500mg.

First, we need to convert the weight of the child from pounds to kilograms. We can do this by dividing the weight in pounds by 2.205 to get the weight in kilograms:

81 pounds÷2.205=36.74 kg

Next, we can calculate the maximum dose of amoxicillin that the child should receive per day by multiplying her weight in kilograms by 40 mg/kg:

36.74 kg×40 mg/kg=1469.6 mg

Since the maximum dose should not exceed 1500 mg per 24 hour period, the child should receive no more than 1500 mg of amoxicillin per day.

Finally, we need to divide the maximum daily dose by 3 to determine the maximum dose per individual dose, since the medication is prescribed to be given 3 times per day:

1500 mg÷3=500 mg

Therefore, the maximum dose of amoxicillin that the child should receive per individual dose is 500 mg.

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Answer:

let X be the value of the total students

[tex] \frac{65}{100} \times x = 650 \\ \\ \frac{65x}{100 } = 650 \\ if \: w \:e \: crossmultipl \\ 65x = 65000 \\ x = 65000 \div 65 \\ x = 1000[/tex]

By function, The fact that this number is 1/2 indicates the half-life of the substance is 1 year.

How would you define a function in plain English?

A function is described as a relationship between a set of inputs and one output for every one of them. Simply described, a function is an association of inputs where each input is coupled to a single, distinct output.

                             Every function has an associated domain, codomain, or range. A mathematical function is a rule that, given the values of one or more independent variables and the dependent variable, determines the value of the dependent variable.

300 represents the initial amount of the substance, the amount present at t=0.

0.5 is the fraction of substance remaining at the end of each year. The fact that this number is 1/2 indicates the half-life of the substance is 1 year.

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Answer: two right-angled triangle, equilateral triangle

Step-by-step explanation:

It is a combination of two right-angled triangle or it is an equilateral triangle.

Explanation:

You want to prove a point P on the perpendicular bisector of segment YZ is equidistant from Y and Z.

1. PX is the perpendicular bisector of YZ . . . . given

2. angles at X are right angles . . . . definition of perpendicular

3. YX = XZ . . . . definition of bisector

4. PX = PX . . . . reflexive property of congruence

5. ∆PXY ≅ ∆PXZ . . . . LL congruence theorem

6. YP ≅ ZP . . . . CPCTC

the range of the function is at least $400 plus $50 for each month after the purchase. The average monthly cost of owning the cell phone can be represented as:

C(t) = 400 + 50t

Where t is the number of months after the purchase.

Since C(t) is a linear function, its range is all real numbers greater than or equal to 400, since the initial cost of the phone is 400 and the monthly cost is a positive constant. Therefore, the range of C(t) is:

Range of C(t) = {C(t) | C(t) ≥ 400} or [400, ∞)

In other words, the range of the function is all possible average monthly costs of owning the phone, which is at least $400 plus $50 for each month after the purchase.

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A large bag contains marbles of different colors. there are 10 red marbles, 5 blue marbles and 7 yellow marbles. when selecting 3 marbles without replacement, the probability of selecting 3 red marbles is 1/54.

The probability of selecting 3 red marbles is 1/54.What is a probability?

Probability refers to the likelihood or chance of an occurrence. The probability of an event occurring is the ratio of the number of favourable outcomes to the total number of possible outcomes.

A fraction or a decimal is used to express it.The total number of marbles in the bag is 10 + 5 + 7 = 22 marbles.

There are ten red marbles in the large bag, so the number of ways to select 3 red marbles from ten red marbles is:

[tex]10C_3 = (10 \times 9 \times 8) / (3 \times 2 \times 1) = 120[/tex]

There are 22 marbles in the bag, therefore, the total number of ways to pick 3 marbles from 22 is:

[tex]22C_3 = (22 \times 21 \times 20) / (3 \times 2 \times 1) = 1540[/tex]

Hence, the probability of choosing 3 red marbles out of the 22 marbles in the bag without replacement is:120/1540 = 1/54

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Answer:

82 ft^2

Step-by-step explanation:

To find the amount of glass needed to cover the entire rectangular pyramid, we need to calculate the combined surface area of all its faces.

The rectangular base of the pyramid has an area of 5 feet by 4 feet, or 20 square feet. The two large triangular faces each have an area of (1/2) x base x height = (1/2) x 5 feet x 6.8 feet = 17 ft^2. The two small triangular faces each have an area of (1/2) x base x height = (1/2) x 4 feet x 7 feet = 14 ft^2.

Therefore, the total surface area of the pyramid is:

20 ft^2 (for the base) + 17 ft^2 + 17 ft^2 + 14 ft^2 + 14 ft^2 = 82 ft^2

So, the amount of glass needed to cover the entire pyramid is 82 square feet.

Therefore, the answer is 82 ft^2.

Answer:82  ft2

Step-by-step explanation:

i did it in class

Dividing the circumference of a pumpkin by its diameter gives a value approximately equal to pi (π)

When you divide the circumference of a pumpkin by its diameter, you get a value that is approximately equal to the mathematical constant pi (π), which is approximately 3.14159.

This is because pi represents the ratio of the circumference of a circle to its diameter, and a pumpkin is roughly spherical in shape. So, no matter how big or small the pumpkin is, if you measure its circumference and diameter and divide them, the result will be very close to pi.

Mathematically, this can be represented by the formula

pi ≈ circumference / diameter

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The expression -5 + 28p9q5 - 12pq + 7 is equivalent to 7. Since all the terms except the last one contain variables, we can use algebra to solve for the value of the expression.

Algebra is a branch of mathematics which deals with the manipulation of equations, inequalities, and other mathematical expressions. Algebra is used to solve equations, simplify expressions, and model real-world problems.

To begin, we can add -5 and 7 to obtain 2. This means that the expression is now equal to 2 + 28p9q5 - 12pq. We can then simplify this expression by combining like terms.

Since 28p9q5 and -12pq are both products of the same variables, we can add them together. When we do so, we obtain 16p9q5, which means that the expression is now equal to 2 + 16p9q5.

Finally, we can simplify the remaining term by breaking down the product. We can divide 16 by 8 to obtain 2, and then divide 9 by 3 to obtain 3. This means that the expression is now equal to 2 + 2p3q5. Since there are no more terms to simplify, we can conclude that the answer is 2.

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The expression 3x³y² - 9xz⁴ + 8y²z have no GCF greatest common factor but the terms 3x³y² and 8y²z have GCF equal to y².

The GCF defines the highest common factor present in between given two or more numbers or algebraic expressions.

we shall determine the GCF greatest common factor for the algebraic expression 3x³y² and 8y²z as follows:

3x³y² = y² × 3x³

8y²z = y² × 8z

both terms 3x³y² and 8y²z have y² common to them, so we can write;

3x³y² + 8y²z = y² × 3x³ + y² × 8z

3x³y² + 8y²z = y²(3x³ + 8z)

In conclusion, the expression 3x³y² - 9xz⁴ + 8y²z have no GCF greatest common factor but the terms 3x³y² and 8y²z have GCF equal to y².

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Sofia's favorite bag of chips were on sale for $5 for two bags. If she wanted to buy seven bags, the cost would be $17.50.

To calculate this, we need to use the formula for finding the total cost of a given number of items: Total Cost = Number of Items x Cost Per Item.In this case, we need to find the total cost of seven bags, so the equation looks like this: Total Cost = 7 x $5.

We can solve this equation by multiplying the two numbers together. 7 multiplied by 5 equals 35. However, the question is asking us to find the total cost of seven bags, which is $17.50. To convert the answer from 35 to 17.50, we need to divide 35 by two: 35 divided by 2 equals 17.50.

Therefore, the cost of seven bags of Sofia's favorite chips would be $17.50.

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Answer:

An easy way to finish this problem even if you don't know the correct mathematical approach would be to plug in each ordered pair into both equations and see whether they are true/false. You can even graph both lines and see where the intersect (the solution).

I got (-7,23), which appears to not be one of the available answer choices. Try using the graphing calculator in desmos.