HELP ME ASAP PLEASE a) A graph is drawn below.
у
Explain how you know that y is
not directly proportional to x.
I

The value of the variable x for the similar triangles is equal to 3

The triangles PTQ and STR are similar, this implies that the length ST of the smaller triangle is similar to the length PT of the larger triangle

and the length RT of the smaller triangle is similar to the length QT of the larger triangle

so;

5/(2x + 9) = 7/(3x + 12)

5(3x + 12) = 7(2x + 9) {cross multiplication}

15x + 60 = 14x + 63

15x - 14x = 63 - 60 {collect like terms}

x = 3.

Therefore, the value of the variable x for the similar triangles is equal to 3

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Answer:

k = - \(\frac{2}{3}\) , k = 2

Step-by-step explanation:

Using the discriminant Δ = b² - 4ac

The condition for equal roots is b² - 4ac = 0

Given

kx² + 2x + k = - kx ( add kx to both sides )

kx² + 2x + kx + k = 0 , that is

kx² + (2 + k)x + k = 0 ← in standard form

with a = k, b = 2 + k and c = k , thus

(2 + k)² - 4k² = 0 ← expand and simplify left side

4 + 4k + k² - 4k² = 0

- 3k² + 4k + 4 = 0 ( multiply through by - 1 )

3k² - 4k - 4 = 0 ← in standard form

(3k + 2)(k - 2) = 0 ← in factored form

Equate each factor to zero and solve for k

3k + 2 = 0 ⇒ 3k = - 2 ⇒ k = - \(\frac{2}{3}\)

k - 2 = 0 ⇒ k = 2

are you sure h + g?

there is no g in your question..there's h and p

Answer:

\( \boxed{ \bold{ \huge{ \boxed{ \sf{60 {x}^{5} {y}^{3}}}}}} \)

Step-by-step explanation:

\( \sf{3 {x}^{2} \times 4 {x}^{3} y \times 5 {y}^{2} }\)

Multiply the numbers and variables separately

\( \longrightarrow{ \sf{(3 \times 4 \times 5) \times {x}^{2} \times {x}^{3} \times y \times {y}^{2} }}\)

\( \longrightarrow{ \sf{60 \times {x}^{2} \times {x}^{3} \times y \times {y}^{2} }}\)

Add the powers of the variables with same base

\( \longrightarrow{ \sf{60 \times {x}^{2 + 3} \times {y}^{1 + 2}}} \)

\( \longrightarrow{ \sf{60 {x}^{5} {y}^{3} }}\)

Hope I helped!

Best regards! :D

An equation of the tangent line to the curve \(x e^y+y e^x=4\) at the point (0, 4) is \(y=-(4+e^4) x+4\).

A tangent is described as a line that intersects a circle or an ellipse only at one point. If a line touches a curve at P, the point "P" is known as the point of tangency.

Now according to the question;

To obtain the tangent at a given point, we must first obtain the slope at that point by obtaining the differentiation value at that point  \(\left.y^{\prime}\right|_{x=0, y=4}\) as-

Consider the given equation;

\(x e^y+y e^x=4\)

Differentiate both side with respect to x;

\(\begin{aligned}&\frac{d}{d x}\left(x e^y+y e^x\right)=\frac{d}{d x} 4 \\&\frac{d}{d x} x e^y+\frac{d}{d x} y e^x=0\end{aligned}\)

Now apply product rule;

\(\begin{aligned}&e^y \frac{d}{d x} x+x \frac{d}{d x} e^y+e^x \frac{d}{d x} y+y \frac{d}{d x} e^x=0 \\&e^y \frac{d}{d x} x+x \frac{d}{d y} e^y \cdot y^{\prime}+e^x y^{\prime}+y \frac{d}{d x} e^x=0\end{aligned}\)

Applying exponential and power rule;

\(\begin{aligned}&e^y \cdot 1+x e^y \cdot y^{\prime}+e^x y^{\prime}+y e^x=0 \\&\left(x e^y+e^x\right) y^{\prime}=-y e^x-e^y\end{aligned}\)

Solve the value of y'

\(y^{\prime}=\frac{-y e^x-e^y}{x e^y+e^x}\)

Now, find the value of slope m.

\(m=\left.y^{\prime}\right|_{x=0, y=4}\)

\(\frac{-4 \cdot e^0-e^4}{0 e^4+e^0}=-4-e^4\)

Now, using the point-slope formula, obtain the line equation as follows.

\(\begin{aligned}&\left(y-y_1\right)=m\left(x-x_1\right) \\&(y-4)=-(4+e^4) \cdot(x-0) \\&y=-(4+e^4) x+4\end{aligned}\)

Therefore, an equation of the tangent line to the curve is   \(y=-(4+e^4) x+4\).

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Answer:21

Step-by-step explanation:

Answer:

21

Step-by-step explanation:

Answer:

i think is D t but i think

Step-by-step explanation:

Answer is 0 probably B)

Step-by-step explanation:

There are 3080 ways 3 men and 2 women can be chosen if they are equally considered, using the multiplication principle of counting

The multiplication principle states that if there are m ways to perform one task and n ways to perform another task, then there are m x n ways to perform both tasks together.

To find the number of ways to choose 3 men from the 12 men, we can use the formula for combination, which is: ⁿCᵣ = n! / (r! (n-r)!).

where n is the total number of men and r is the number of men chosen

so, the number of ways to choose 3 men from the 12 men = ¹²C₃ = 1.

Similarly, we evaluate the number of ways to choose 2 women from the 8 women

as = ⁸C₂ = 14

Now, using the multiplication principle, we can find the total number of ways 3 men and 2 women be chosen if they are equally considered.

220 x 14 = 3080

Therefore, there are 3080 ways 3 men and 2 women can be chosen if they are equally considered, using the multiplication principle of counting

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The probability that skydiver will land on a shaded area will be \(\frac{1}{9}\).

We have,

Three concentric circles,

And,

The diameter of the center circle = 2 yards,

Now,

According to the question,

The diameter of the circle next to center circle i.e. 2nd circle = 2 + 2 = 4 yards,

And,

The diameter of the 3rd circle next to 2nd circle = 4 + 2 = 6 yards,

And,

Area of circle = πr²

So,

Area of the shaded circle = πr² =  π(1)² = 1π

Now,

the area of the 3rd circle = πr² = π(3)² = 9π

Now,

The probability of landing in shaded area = \(\frac{Area\ of\ Centre\ circle }{Area\ of\ Outer\ circle }\)

i.e.

The probability of landing in shaded area = \(\frac{1\pi }{9\pi }\)

On solving we get,

The probability of landing in shaded area = \(\frac{1}{9}\)

Hence we can say that the probability that skydiver will land on a shaded area will be \(\frac{1}{9}\).

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Based on the given information, the product should be distributed from {S}1 to the retailers located at R1, R2, R3, and R4.

To determine the most efficient distribution route, several factors need to be considered. These factors include the distance between the origin point {S}1 and each retailer, transportation costs, logistical infrastructure, and delivery timeframes. By evaluating these factors, a decision can be made regarding the optimal distribution route.

One approach could be to assess the geographical proximity of {S}1 to each retailer. If {S}1 is closest to R1 compared to the other retailers, it would make logistical sense to prioritize R1 for distribution. However, other factors such as transportation costs and delivery timeframes must also be considered. If the transportation costs are significantly higher or the delivery timeframes are longer for R1 compared to the other retailers, it might be more efficient to distribute the product to a different retailer.

Moreover, the logistical infrastructure and transportation networks available between {S}1 and the retailers should be evaluated. If there are direct and efficient transportation routes between {S}1 and one or more retailers, it would make sense to utilize those routes for distribution. This consideration would help minimize transportation costs and delivery times.

Ultimately, the decision on the optimal distribution route depends on a comprehensive analysis of various factors such as geographical proximity, transportation costs, logistical infrastructure, and delivery timeframes. By carefully evaluating these factors, a well-informed decision can be made regarding the distribution of the product from {S}1 to retailers R1, R2, R3, and R4.

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The smallest number of rectangles required will be  30.

Given:- The sides of the rectangle are in the ratio of 5:4

let, length=5x

breadth=4x

Area = 20x²

Area of smaller rectangle =2*3

                                           =6cm²

Now, take numbers which are in the ratio of 5:4;

suppose, Case 1=10:8

                 Case2 = 15:12

For Case 1;

number of rectangles needed =10*8/2*3

                                                     =13.3333

This means it is overlapping hence, not possible.

For Case 2;

number of rectangles needed=15*12/2*3

                                                  =30

therefore, the smallest number will be 30.

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Answer:

285

Step-by-step explanation:

1175 divided by 412 = 2.85194174757

that would be around 2.85

Answer:

The x value of a point where a vertical line intersects a function represents the input for that output y value. If we can draw any horizontal line that intersects a graph more than once, then the graph does not represent a function because that y value has more than one input.

Step-by-step explanation:

Answer:

6435 ways

Step-by-step explanation:

Since the order does not matter, it is a combination, also because they do not indicate how many men and how many women should be in the group of 8, which means that it would be the ways of putting together a group of 8 with 15 people (10 men + 5 women)

That is to say:

nCr = n! / (r! * (n-r)!)

n = 15, r = 8, replacing:

15C8 = 15! / (8! * (15-8)!)

15C8 = 6435

which means that there are 6435 ways to arm the group

Step-by-step explanation:

your answer is 113 0.97 inch square

hope it helps

Answer: the answer is 360

Step-by-step explanation:

i am also an Acellus user and this is what worked for me

Answer:

hggh

Step-by-step explanation:bmv,g,vg,cvbbgfghvc

Answer:

A

Step-by-step explanation:

the triangles share one angle and they have two equal sides

The total number of intervals in a frequency distribution for a numerical variable can vary depending on the range and nature of the data, typically ranging from a minimum of 5 to a maximum of 20 intervals.

A frequency distribution is a representation of data that organizes values into intervals or bins and shows the number of occurrences or frequencies within each interval. The choice of the number of intervals depends on the characteristics of the data and the desired level of detail in the distribution. Generally, it is recommended to have at least five intervals to capture the overall pattern of the data. Too few intervals may oversimplify the distribution, while too many intervals may result in excessive detail and difficulty in interpretation.

The maximum number of intervals, often around 20, is determined by the data range and the desired level of granularity. When the range of values is large or the data contains outliers, more intervals may be needed to capture the variations accurately. On the other hand, if the range is small or the data is relatively homogenous, a smaller number of intervals may suffice. Balancing the level of detail with the readability and interpretability of the distribution is essential to effectively communicate the information contained in the data.

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A frequency distribution for a numerical variable is a statistical tool that groups the data into intervals and counts the frequency of observations within each interval. The total number of intervals typically ranges from 5 to 20. However, the choice of how many intervals to use depends on the total number of observations in the dataset and the need to balance detail with complexity.

In the realm of statistics, creating a frequency distribution for a numerical variable is a common task. In a frequency distribution, data is grouped into intervals or classes, and the frequency of observations within each interval is counted. When determining the number of intervals, it often depends on the total number of observations in the dataset.

Typically, the total number of intervals in a frequency distribution may range from 5 to 20. These are rough guidelines though, and the number of intervals you decide upon should best represent the data and make it easier to interpret.  

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According to the VAT rate, the total cost of the item including VAT is Birr 10,925 assuming a VAT rate of 15%.

What is VAT rate ?

VAT (Value Added Tax) rate is a percentage that is added to the price of goods or services. VAT is usually charged on top of the base price of a product or service, and the total price is calculated as (base price) + (base price x VAT rate). The VAT rate is typically set by the government and may be subject to change over time.

To find the total cost of the item including VAT, we need to know the VAT rate.

Let's assume the VAT rate is 15%. To calculate the VAT amount, we can multiply the price before VAT by the VAT rate:

VAT amount = 0.15 x 9,500 = Birr 1,425

The total cost of the item including VAT is the sum of the price before VAT and the VAT amount:

Total cost = 9,500 + 1,425 = Birr 10,925

Therefore, the total cost of the item including VAT is Birr 10,925 assuming a VAT rate of 15%.

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The variance of the number of heads that come up when a fair coin is flipped 13 times is 3.25

Mathematical representations of the likelihood of an event occurring or of a statement being true are dealt with in the area of probability. An outcome's probability is a number between 0 and 1, where 1 denotes certainty and 0 denotes the event's impossibility.

Here, flipping a coin is a Bernoulli trial, with n =13, with success as getting a head with probability p = 1/2.

We have to find the variance of the number of success in n Bernoulli trials. The variance of the number of successes in n Bernoulli trials is np(1-p).

the variance np  \((1-p)=13\cdot (1/2)\cdot (1-1/2)=13\cdot (1/2)\cdot (1/2)= 3.25\)

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The smallest positive integer n, such that 1 / 9 is a terminating decimal and n contains 9 is 4, 096.

Finite digits terminating after the decimal point represent what are known as "terminating decimals". This type of decimal is characterized by their limited representation which comes to an end after a specific number of digits.

The smallest positive integer to satisfy the conditions, of the terminating decimals would be in the form 2 ^ r 5 ^ s.

We can then solve for the smallest positive integer n, to be:

= 2 ¹² x 5 ⁰

= 4 ,096

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Answer: 6

Step-by-step explanation:

1. add (0.5 + 4.5) which equals 5, so now you have 2 x 5^2.

2. evaluate the power (5^2) which equals 25 and you end up with 2 x 25 which equals 50.

3. now you have 300 divided by 50.

300 divided by 50 is 6.

The value of the expression 300 divided by 2(0.5 +4.5)²is 6

Simplification is reducing the expression/fraction/problem to a simpler form. It makes the problem easy with calculations and solving.

Given an expression, 300 divided by 2(0.5 +4.5)²

300/2(0.5 +4.5)²

= 300/2x5²

= 300/2x25

= 300/50

= 6

Hence, The value of the expression 300 divided by 2(0.5 +4.5)²is 6

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Statements A and C are correct.

Here, we are given that Arika and Savroop have 19 ½ cups of flour. Arika had a recipe for banana bread that calls for 1 ⅞ cups of flour. Savroop has a recipe that calls for 1 ½ cups of flour.

Let us evaluate each option one by one-

A. Arika's recipe will make 10 whole loaves of banana bread.

Arika's recipe requires 1 ⅞ cups of flour = (8 + 7)/8

= 15/8

Total flour they have = 19 ½ = (19 × 2 + 1)/2

= 39/2

Thus, Arika's recipe will make = 39/2 ÷ 15/8

= 39/2 × 8/15

= 13 × 4/ 5

= 52/5

= 10.4

Thus, the given statement is correct.

B. Savroop's recipe requires 1 ½ cups of flour = (2+ 1)/2

= 3/2

Thus, Savroop's recipe will make = 39/2 ÷ 3/2

= 39/2 × 2/3

= 13

Thus, the given statement is incorrect. Savroop's recipe will make only 13 whole loaves.

C. As we can see above, Arika's recipe will make 10.4 loaves and thus 0.4 cups of flour will be left over. Whereas, in case of Savroop, no flour will be left over. Thus, the given statement is true.

D. By the same reasoning given above, the given statement is false as there will be less flour leftover if Savroop's recipe is used.

E. The given statement is again false as Arika's recipe will make only 10 loaves whereas Savroop's recipe will make 13.

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The journaliztion of the  the adjusting entries needed for the previous items affecting Laughter Landscaping on December 31 is made.

To journalize the adjusting entries needed on December 31 for the previous items affecting Laughter Landscaping, you would make the following entries:

b. DR Insurance Expense, $4,500
  CR Prepaid Insurance, $4,500

c. DR Office Supplies Expense, $6,800
  CR Office Supplies, $6,800

d. DR Unearned Revenue, $4,200
  CR Service Revenue, $4,200

c. DR Accounts Receivable, $3,000
  CR Service Revenue, $3,000

f. DR Depreciation Expense - Equipment, $3,700
    CR Accumulated Depreciation - Equipment, $3,700

  DR Depreciation Expense - Trucks, $1,300
    CR Accumulated Depreciation - Trucks, $1,300

g. DR Interest Expense, $300
  CR Interest Payable, $300

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Prevalence is a commonly used metric in epidemiology and public health to describe the proportion of a population affected by a specific condition or characteristic during a specific period. In this case, it helps to understand the extent of allergies among children in 2020.

The calculation given is an example of a prevalence measure, which is used to determine the proportion or percentage of individuals in a population that have a particular health condition or disease. In this case, the number of children with allergies in 2020 is divided by an estimate of the total number of children in the population to determine the prevalence of allergies in the population.
Prevalence measures are useful for understanding the burden of a particular health condition in a population, as well as for identifying trends over time or differences between different groups within the population. However, it's important to note that prevalence measures are only as accurate as the data used to calculate them, so it's essential to use reliable sources of data and to ensure that the sample of individuals being measured is representative of the entire population.
Prevalence measures are widely used in epidemiology and public health research to understand the distribution of health conditions and diseases in populations. They can be calculated for a wide range of health outcomes, including chronic diseases, infectious diseases, mental health conditions, and more.
In addition to prevalence, other types of measures used in public health research include incidence (which measures the number of new cases of a particular health condition within a population over a specific period of time), mortality (which measures the number of deaths attributable to a particular health condition or disease), and morbidity (which measures the burden of illness associated with a particular health condition or disease, often in terms of disability-adjusted life years or quality-adjusted life years).
Ultimately, the type of measure used in a given study will depend on the research question being asked, the available data sources, and the specific health outcome being studied. However, regardless of the type of measure used, it's important to ensure that the sample of individuals being measured is representative of the entire population, and to use reliable and accurate data sources to calculate the measure.
The calculation you described, which involves dividing the number of children with allergies in 2020 by an estimate of the total number of children in the population, is an example of a prevalence measure.

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Answer:

9

Step-by-step explanation:

Answer:

B) 3

Step-by-step explanation:

The (-) represents a flip over the X-Axis.

The |X-5| represents a Horizontal shift right because it's in between the parenthesis.

The 3 represents a positive vertical shift upwards.