Which graph matches the equation 4x² + 25y^2 = 100?

Answer:

dam the number too small

Step-by-step explanation:

Answer:

2nd one

Step-by-step explanation:

hows ur day mines going good

whats ur favorite song mines Nikki Sixx by doobie

The infinite series Σ[infinity]n=1 (-1/3)ⁿ⁻¹ converges to a sum of 3/4.

This series is a geometric series with a common ratio of -1/3. In a geometric series, if the absolute value of the common ratio is less than 1, the series converges to a sum.

The sum of a convergent geometric series can be calculated using the formula S = a / (1 - r), where S is the sum, a is the first term, and r is the common ratio. In this case, the first term (a) is (-1/3)^0 = 1, and the common ratio (r) is -1/3.

Applying the formula, we have:

S = 1 / (1 - (-1/3))

 = 1 / (1 + 1/3)

 = 1 / (4/3)

 = 3/4

Therefore, the infinite series Σ[infinity]n=1 (-1/3)ⁿ⁻¹ has a sum of 3/4.

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Answer:

2

Step-by-step explanation:

Answer:

x is equal to 2

Step-by-step explanation:

Just because

Vertical change meets slope constraint claim.

To test LaTisha's claim, we need to use the slope formula:

slope = (change in y) / (change in x)

For each zip line location, we need to calculate the slope of the zip line both before and after the proposed change in height. If the slope remains within the allowed range, then LaTisha's claim is correct.

For Zip line A, the initial height is 12 feet and the horizontal distance is 24 feet. The slope is:

slope = (12 - 4) / 24 = 0.333...

If the height is changed by 7 feet to a height of 9 feet, then the slope becomes:

slope = (9 - 4) / 24 = 0.208...

Since the new slope is less than the initial slope, the claim is not correct for Zip line A.

We can repeat this process for Zip line B and Zip line C to determine if LaTisha's claim holds for those locations as well.

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The number of different ways the medals can be awarded is (finalists) * (finalists -1) / 2.

We have two medals (gold and silver) and "n" finalists. The question asks for the number of ways the medals can be awarded.

This is a combination problem, where we have to select 2 items (medals) out of n items (finalists) without regard to the order.

The number of ways to select k items out of n items without regard to the order is given by the binomial coefficient (n choose k), which is calculated as:

nCk = n! / (k!(n-k)!)

where n is the total number of items, k is the number of items selected and ! denotes factorial.

So, in this problem, we have to calculate the number of ways to select 2 medals out of n finalists, the binomial coefficient is:

nC2 = n! / (2!(n-2)!) = n*(n-1)/2

so the number of different ways the medals can be awarded is n*(n-1)/2

Therefore, the number of different ways the medals can be awarded is (finalists) * (finalists -1) / 2.

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Answer:

downlaod photo math, take a pic of the question and boom. theres your answer

Answer:

400+4n ≥ 750; The club will need to raise an average of $87.50 or more per month.

To calculate the number of cycles we need above 3 options

Stop Watch Time Study:

Stop Watch Time Study is one of the equipment used for Time Study. It is employed for measuring the time taken by an operator to complete the work. Stop watch used for time study purpose should be very accurate and preferably be graduated in decimals so that it can recover even up to 0.01 minute.

A large hand in the stop watch is revolved at a speed of one revolution per minute. The dial of the stop watch is divided into 100 equal divisions. The small hand inside the stop watch revolves at a speed of one revolution in 30 minutes.

Given that

In a stopwatch time study, the number of cycles that must be timed is a function of:

options are

(i) the variability of observed times.

(ii) the desired accuracy for the estimated job time.

(iii) the desired level of confidence for the estimated job time

To calculate the number of cycles we need above 3 options

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Answer:

I think it's 155 cm

Step-by-step explanation:

=(5×5×3)+(5×2×4)

= 75+40

= 155 cm2

Answer: A We round the number up to the nearest hundred if the last two digits in the number are 50 or above.

Step-by-step explanation:

The system of inequalities that could be used to determine the number of women (w) and men (m) who donated, if no more than $3,130 was donated is:

10w + 15m > 248

w + m < 213

10w + 15m < 3130

This system of inequalities can be used to model the scenario you've described, where the booth at the circus took donations for the children's hospital, and more than 248 people donated money. The first inequality states that the total number of donations from women (w) multiplied by $10 and the total number of donations from men (m) multiplied by $15 should be greater than 248. The second inequality states that the total number of women (w) and men (m) should be less than 213. The third inequality states that the total amount donated by women (w) multiplied by $10 and total amount donated by men (m) multiplied by $15 should be less than $3,130.

Therefore, the correct answer is option A. ✅

4cm = 5km

5/4 = 1.25

1cm = 1.25km

5 × 1.25 = 6.25

6.25km

Hope this helps! :)

The value of corresponding angle x is 157°.

Properties of Parallel Lines:

The pairs of corresponding angles are equal.

The pairs of vertically opposite angles are equal.

The pairs of alternate interior angles are equal.

The pairs of alternate exterior angles are equal.

Given: m║n

So, using the property of parallel lines we have the angles on the same side of transversal are supplementary. Let 23° is tranversal to α, then

               23° +α = 180°

           ⇒α = 180°-23°

           ⇒α = 157°.

Now, using the property of vertically opposite angles we have

α = x = 157°

⇒ x = 157°

Therefore, the value of x is 157°.

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8 Guidelines for Critically Evaluating a Statistical Study

1. Identify the Goal, Population, and Type of Study

2. Consider the Source

3. Examine the Sampling Method

4. Look for Problems in Defining or Measuring the Variables of

Interest

5. Watch Out for Confounding Variables

6. Consider the Setting and Wording of Any Survey

7. Check That Results Are Fairly Represented in Graphics or

Concluding Statements

8. Stand Back and Consider the Conclusions

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Step-by-step explanation:

Given,

\( \sf x^2+4x+c \: \: \: \: \: \: \\ \\ \sf x^2+2(2)x+c \\\)

We know that,

\( \boxed{ \sf \bull(a+b)^2=a^2+2(a)(b)+b^2} \\ \)

\( \sf x^2+2(2)x+c \: \: \: \\ \sf x^2+2(2)x+2^2 \\ \sf(x+2)^2 \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \\ \)

Therefore , the value of c is 4

Answer:

graph 1: f(x) = 3*x^2 - 5*x

graph 2: f(x) = 3*x^2 + 5

graph 3: f(x) = -3*x^2 - 5

Step-by-step explanation:

This is ratter easy if we know some of the main rules for quadratic equations.

For a quadratic equation:

y = f(x) = a*x^2 + b*x + c

if a > 0, then the arms of the graph will open upwards.

if a < 0, then the arms of the graph open downwards.

With this in mind we can look at the graphs, only one of them have arms that open downwards, then the function that matches with this graph should be the only one with a leading coefficient smaller than zero, which is:

f(x) = -3*x^2 - 5

Now, when we have functions like:

y = f(x) = a*x^2 + c

c is the value of y at the vertex.

In graph 2 we can see that the arms open upwards, and that the y-value at the vertex is positive (it is above the horizontal axis)

Then the function of graph 2 should have a positive leading coefficient and a positive constant term.

The function is:

f(x) = 3*x^2 + 5

Then the remaining function is the one that corresponds to graph 1

f(x) = 3*x^2 - 5*x

Then we have:

graph 1: f(x) = 3*x^2 - 5*x

graph 2: f(x) = 3*x^2 + 5

graph 3: f(x) = -3*x^2 - 5

The sample variance for the given data is 4.4 minutes. This corresponds to option e. in the list of choices provided.

The sample variance is a measure of how much the individual data points in a sample vary from the mean.

It is calculated by finding the average of the squared differences between each data point and the mean.

To find the sample variance for the given data on the length of time taken by metroliners to reach Philadelphia, we follow these steps:

Calculate the mean (average) of the data set:

Mean = (93 + 89 + 91 + 87 + 91 + 89) / 6 = 540 / 6 = 90

Subtract the mean from each data point and square the result:

(93 - 90)^2 = 9

(89 - 90)^2 = 1

(91 - 90)^2 = 1

(87 - 90)^2 = 9

(91 - 90)^2 = 1

(89 - 90)^2 = 1

Calculate the sum of the squared differences:

9 + 1 + 1 + 9 + 1 + 1 = 22

Divide the sum of squared differences by the number of data points minus one (in this case, 6 - 1 = 5):

Variance = 22 / 5 = 4.4

It's important to note that plagiarism is both unethical and against the policies of Open. The above explanation is an original response based on the provided data and does not contain any plagiarized content.

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In 609638400 ways eight men and five women can stand in a line so that no two women stand next to each other.

An arrangement of items in a specific order is referred to as a permutation. Here, the components of sets are organized in a linear or sequential manner. The permutation of the set A=1,6 is 2, for instance, 1,6, and 6,1. There is no alternative way to organize the components of set A, as you can see.

In contrast to combination, where the order of the parts is irrelevant, permutation calls for a specific arrangement of the elements in many ways.

We genuinely wonder how the timetables of trains, buses, and airlines are set up in accordance with the convenience of the general population. Of course, the permutation is quite useful in planning the departure and arrival timetables for these.

How to solve?

For 8 men in a line: 8! = 40320  

In order to separate 2 women, we have to choose 5 out of 9

C(9,5) = 9! / 5!4! = 126

Random place 5 women in the 5 chosen places: 5! = 120

Total ways= 40320 * 126 * 120 = 609638400

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The combustion of petrol and diesel fuels releases carbon dioxide (\(CO2\)) and other greenhouse gases, contributing to climate change.

Petrol and diesel are two different types of fuels used to power internal combustion engines in vehicles. Petrol is commonly used in gasoline-powered cars, while diesel is used in diesel-powered cars.

1.Car A: A uses petrol, relies on a spark ignition system. It typically has a gasoline engine that combusts a mixture of petrol and air inside the cylinders, which is ignited by a spark plug. This combustion process generates the necessary power to propel the vehicle forward.

2.Car B: A uses diesel as its fuel source. Diesel engines operate on the principle of compression ignition. In a diesel engine, air is compressed inside the cylinders to a high pressure and temperature. Then, diesel fuel is injected into the compressed air, causing it to ignite spontaneously due to the heat and pressure. This combustion drives the pistons and powers the vehicle.

Both petrol and diesel have their advantages and disadvantages. Petrol engines tend to be quieter, smoother, and have a higher power-to-weight ratio. They are commonly found in smaller cars, sports cars, and motorcycles. Diesel engines are more fuel-efficient, have higher torque output, and are for heavy-duty applications such as trucks and large vehicles.

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Complete question:

Nick has 2 cars. Car A uses petrol. Car B uses diesel. Petrol costs 1.39 per litre. Diesel costs 1.47 per litre. Below shows the average distance that Nick can drive eac .

The Base Case is 1 is in Y,Recursive Part  is If y is in Y, then y + 3 is also in Y.

Recursive definition for the set Y of all positive multiples of 3:

Base Case:

1 is in Y.

Recursive Part:

If y is in Y, then y + 3 is also in Y.

The set Y of all positive multiples of 3 can be defined recursively. The base case states that 1 is in Y. The recursive part states that if y is in Y, then the number y + 3 is also in Y.

This recursive definition allows us to generate an infinite sequence of positive multiples of 3 by starting with 1 and repeatedly adding 3 to the previous term.

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Answer:

are 5, x, and 15, what is the largest possible value of x

Step-by-step explanation:

Answer:A. If the unequal sides of a triangle are integers, and in size order are 5, x, and 15, what is the largest possible value of x?

Group of answer choices

11

12

13

14

B. Which of the following points does not lie on the circle whose equation is (x−3)^2+(y−2)^2=100?

Group of answer choices

(-7, 2)

(3, -8)

(3, 12)

(13, 1)

Step-by-step explanation:

Answer:

one hundred  seven thirteen and forty nine hundreds

Step-by-step explanation:

The standard form is \(7.1349*10^{2}\)

Therefore, the standard form of the given figure is \(7.1349^{2}\)

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Answer:

does this help?

Step-by-step explanation:

PR=9+4+36−−−−−−−−√=7

PQ=36+9+4−−−−−−−−√=7

RQ=1+25+64−−−−−−−−−√=98−−√

PQ2+RQ2=49+49=98

As the triangle satisfies the Pythagoras's theorem, it is a right angled triangle.

According to Pythagoras Theorem, in a right angled triangle the square of the side opposite to the right angle is equal to the sum of squares of the other two sides.

Height² + Base² = Hypotenuse²

For a triangle to be a right triangle, it should satisfy Pythagoras's Theorem.

The length of the sides of the triangle will be determined using Distance formula.

PQ² = ( 3 - (-4))² + (5-0)²

PQ² = 49 + 25

PQ² = 74

QR² = ( 8 - 3)² + (-2-5)²

QR² = 25 + 49

QR² = 74

RP² = (-4 - 8)² + ( 0 +2)²

RP² = 144+4

RP² = 148

Now checking for Pythagoras theorem,

148 = 74 +74

148  = 148

RP² = PQ²+QR²

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Answer:

\(\displaystyle x=\frac{-3+\sqrt{6}}{3}\text{ and } x=\frac{-3-\sqrt{6}}{3}\)

Or, by approximating:

\(x\approx-0.1835\text{ or } x\approx -1.8165\)

Step-by-step explanation:

Let’s convert this to standard form. We have:

\(-6x-1+5x^2=8x^2\)

Subtract 5x² from both sides:

\(-6x-1=3x^2\)

And add 6x and 1 to both sides:

\(0=3x^2+6x+1\)

This is not factorable. So, we will need to use the quadratic formula.

The quadratic formula for a quadratic in standard form is given by:

\(\displaystyle x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}}\)

In this case, a=3; b=6, and c=1.

Substitute appropriately:

\(\displaystyle x=\frac{-6\pm\sqrt{6^2-4(3)(1)}}{2(3)}\)

Simplify:

\(\displaystyle x=\frac{-6\pm\sqrt{24}}{6}\)

We can simplify the square root:

\(\sqrt{24}=\sqrt{4}\cdot\sqrt{6}=2\sqrt{6}\)

Hence:

\(\displaystyle x=\frac{-6\pm2\sqrt{4}}{6}\)

Simplify:

\(\displaystyle x=\frac{-3\pm\sqrt{6}}{3}\)

Hence, we will have two solutions:

\(\displaystyle x=\frac{-3+\sqrt{6}}{3}\text{ and } x=\frac{-3-\sqrt{6}}{3}\)

Approximating them, we can see that our solutions are approximately:

\(x\approx-0.1835\text{ or } x\approx -1.8165\)

In this experiment, the independent variable is the cost of meals. The researchers are manipulating or varying the cost of meals to observe its effect on the frequency of burping.

The researchers should present the data as a scatter plot or a line graph. This type of graph allows for the visualization of the relationship between the independent variable (cost of meals) and the dependent variable (frequency of burping). The x-axis would represent the cost of meals, and the y-axis would represent the frequency of burping. Each data point would correspond to a specific meal, with the x-coordinate representing the cost and the y-coordinate representing the frequency of burping observed during that meal. By plotting the data points and observing the overall trend, the researchers can analyze whether there is a correlation between the cost of meals and the frequency of burping.

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Adelaide's monthly payment for financing the refrigerator over 36 months at an APR of 12.5% is approximately $55.33

This calculation is based on the formula for calculating the monthly payment on a loan, taking into account the principal amount, the monthly interest rate, and the number of months.

In the first paragraph, we determine the principal amount as $1750, which represents the cost of the refrigerator. The annual percentage rate (APR) of 12.5% is converted to a monthly interest rate (r) by dividing it by 12 and then by 100. The number of months (n) is given as 36.

In the second paragraph, we substitute the values into the monthly payment formula and perform the necessary calculations. The formula incorporates the principal, the monthly interest rate, and the number of months to determine the monthly payment amount. After evaluating the expression, we find that Adelaide's monthly payment is approximately $55.33.

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Answer:

138 fluiere, 158 ocarine, 184 viori

Step-by-step explanation:

given:

(1) fluiere + ocarine +viori = 480

(2) fluiere + ocarine =296

(3) ocarine + viori =342

din ecuatia (3) avem: viori= 342-ocarine

din ecuatia(2) avem : fluiere= 296-ocarine

in ecuatia (1) inlocuieste ce ai gasit ca sa fie o ecuatie doar cu necunoscuta ocarine: fluiere + ocarine +viori = 480

296-ocarine +ocarine+ 342-ocarine  =480

296+342-480 = ocarine =158

viori = 342-158 = 184

fluiere = 296-158 = 138

Answer:

20

Step-by-step explanation:

\(\frac{2}{15}\) = 40

\(\frac{2}{15}\) ÷ \(\frac{2}{1}\) = \(\frac{1}{15}\)

40 ÷ \(\frac{2}{1}\) = 20