(5-3)³ ÷ 2

can someone help me? i’m stuck on this

Answer:

6/(q+10)

Step-by-step explanation:

add q and 10 = q+10

Divide 6 by the result = 6/(q+10)

The length of the longest piece of the cut rope is; 105 cm

We are given that;

Length of rope = 245 cm

We need to make the ratio of second piece equal in both the ratio to find the ratio of all three pieces.

2:3

4:5

Multiply 1st ratio by 4 and 2nd ratio by 3:

Now, the ratio becomes: 8:12 and 12:15

And the ratio of three pieces can be represented as:

8: 12: 15, this ratio is the first piece: second piece: third piece

Thus;

8x + 12x + 15x = 245

35x = 245

x = 245/35

So, the pieces lengths will be;

First piece = 8 * 7 = 56 cm

Second piece = 12 * 7 = 84 cm

Third piece = 15 * 7 = 105 cm

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Answer:

28

Step-by-step explanation:

▪︎ ADE and ABC are similar triangles (AAA)

▪︎ DA = DB + BA = 30 + 12 = 42

▪︎ k = DA / BA = 42 / 12 = 3.5

▪︎ DE = BC * k = 8 * 3.5 = 28

Step-by-step explanation:

she sell 5piece out of 6 per hour

for 36 hour, she sell:

5 × 36 = 180piece of pie

one pie is cut to 6 piece

180/6 = 30pie

Answer:

The formula for the point biserial correlation coefficient is:

point biserial correlation formula

M1 = mean (for the entire test) of the group that received the positive binary variable (i.e. the “1”).

M0 = mean (for the entire test) of the group that received the negative binary variable (i.e. the “0”).

Sn = standard deviation for the entire test.

p = Proportion of cases in the “0” group.

q = Proportion of cases in the “1” group.

Most people won’t work this formula by hand as most statistical software packages can calculate the coefficient for you.

Answer:

u have to multiply these.

it's too easy .

see I will tell you the answer.

-2x²-6x-(x²-2x+x-2)

Now the signs of the underlined terms will change because negative sign is outside it.

-2x²-6x-x²+ 2x-x + 2

Now we have to solve it simply

-2x²-x²-6x+ 2x-x + 2

-3x²-5x+2

so here is ur answer.

for Indians it is soo simple question bro

I am Indian

if u need any help plz let me know.

The Probability is P[Y ≥ 1] = 0.8784

According to our question-

Now each Xi is independent trial with p = 0.1

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The accuracy and reliability of measurements can be enhanced, leading to a reduction in uncertainties.

To improve both statistical uncertainty and the "iv" value, which represents the largest propagated uncertainty, there are some simple yet effective measures that can be taken:

Increase Sample Size: For statistical uncertainty, collecting a larger sample size can help reduce random errors and improve the precision of measurements. By increasing the number of data points, the statistical uncertainty, represented by quantities such as standard deviation or standard error, can be reduced. This allows for more reliable and accurate statistical analysis.

Refine Measurement Techniques: Evaluating and refining the measurement techniques can contribute to reducing both statistical and propagated uncertainties. Ensuring proper calibration and using more precise instruments can enhance measurement accuracy and minimize systematic errors. This step involves reviewing measurement procedures, identifying potential sources of error, and implementing improvements to minimize uncertainty.

Implement Quality Control Procedures: Introducing robust quality control procedures can help identify and address measurement uncertainties. Regularly monitoring and verifying the measurement process, including equipment calibration, can ensure consistency and accuracy. Implementing quality control measures provides confidence in the reliability and accuracy of the measurements, thus reducing uncertainties.

Repeat Measurements: Taking multiple measurements and calculating the average can help mitigate the effects of random errors and reduce statistical uncertainty. Repeating measurements under similar conditions and averaging the results can provide a more accurate representation of the true value and reduce the impact of individual measurement errors.

Analyze and Optimize Experimental Design: Analyzing the experimental design and optimizing it can contribute to reducing uncertainties. By carefully planning the experiment, considering factors such as controls, replication, and randomization, potential sources of uncertainty can be minimized. Optimizing the experimental design ensures that the measurements are conducted in the most efficient and accurate manner.

By implementing these steps, it is possible to improve both statistical uncertainty and the largest propagated uncertainty (iv value). These measures focus on refining measurement techniques, increasing sample size, implementing quality control, repeating measurements, and optimizing experimental design. By doing so, the overall accuracy and reliability of measurements can be enhanced, leading to a reduction in uncertainties.

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Using proportions, it is found that she needs 4 consecutive hits to raise her batting average to .400.

A proportion is a fraction of a total amount.

Hence, the batting average is given by the number of hits divided by the number of at-bats.

If she gets x consecutive hits, she will have 8 + x hits in 25 + x at-bats, for an average of 0.400, hence:

\(0.4 = \frac{8 + x}{25 + x}\)

8 + x = 10 + 0.4x

0.6x = 2

x = 3.33

Rounding up, she needs 4 consecutive hits to raise her batting average to .400.

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Answer:

c = 49°

Step-by-step explanation:

Inside of the triangle angles:

these angles sum up to total 180° angle

-c+165+c-16°+c–18° = 180

c +131 = 180

c = 180° - 131°

c = 49°

The length of arc FH is approximately 9.42 units when rounded to the nearest hundredth.

To find the length of arc FH in circle G, we need to use the formula:

Arc Length = (Central Angle / 360°) \(\times\) Circumference

First, let's calculate the central angle m/FGH in degrees:

m/FGH = 60°

Next, we need to find the circumference of the circle. We know that the radius of the circle is equal to half the length of FG:

Radius = FG/2 = 18/2 = 9 units

Circumference = 2 \(\times\) π \(\times\) Radius = 2 \(\times\) π \(\times\) 9

Now, let's substitute the values into the formula to calculate the arc length:

Arc Length = (60/360) \(\\\times\) (2 \(\times\) π \(\times\) 9)

Simplifying this expression:

Arc Length = (1/6) \(\times\) (18π) = 3π units

To round the answer to the nearest hundredth, we can substitute the value of π as approximately 3.14:

Arc Length ≈ 3 \(\times\) 3.14 ≈ 9.42 units

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The scale factor used to create the image triangle A'B'C' from triangle ABC is 3/14.

To determine the scale factor used to create the image triangle A'B'C' from triangle ABC, we can compare the corresponding side lengths.

Let's consider the side AB and its corresponding side A'B'. The length of side AB is calculated using the distance formula:

AB = √[(x2 - x1)^2 + (y2 - y1)^2]

Substituting the coordinates of A(3,4) and B(3,18):

AB = √[(3 - 3)^2 + (18 - 4)^2]

AB = √[0 + 196]

AB = √196

AB = 14

Similarly, we can calculate the length of side A'B' using the coordinates A'(1,3) and B'(1,6):

A'B' = √[(1 - 1)^2 + (6 - 3)^2]

A'B' = √[0 + 9]

A'B' = √9

A'B' = 3

Now, to find the scale factor, we can divide the length of the corresponding sides:

Scale factor = A'B' / AB

Scale factor = 3 / 14

Therefore, the scale factor used to create the image triangle A'B'C' from triangle ABC is 3/14.

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The values of p, q, and r are p = 2, q = 5, and r = 3, respectively.

Given that the lowest common multiple (LCM) of A and B is 2250, and the prime factorization of A is A = 2 × p × q¹, and the prime factorization of B is B = 2 × p² × q², we can compare the prime factorizations to determine the values of p, q, and r.

From the prime factorization of 2250 (2 × 3² × 5³), we can observe the following:

The prime factor 2 appears in both A and B.

The prime factor 3 appears in A.

The prime factor 5 appears in A.

Comparing this with the prime factorizations of A and B, we can deduce the following:

The prime factor p appears in both A and B, as it is present in the common factors 2 × p.

The prime factor q appears in both A and B, as it is present in the common factors q¹ × q² = q³.

From the above analysis, we can conclude:

p = 2

q = 5

r = 3.

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Answer:

x=d/a - by/ac

Steps:

ax+by/c=d

(cax+by)/c=d

cax+by=cd

cax=cd-by

x=(cd-by)/ca

x=cd/ca - by/ca

x=d/a - by/ac

The values of x and y are x = 6, y = 5.

First, we can identify that angle T is a right angle, as it is marked with a square symbol. We can use this information to set up the following equation: (4x - 3)² + (11y + 6)² = 41²

Next, we can use the fact that there are two pairs of congruent sides in a kite to find the values of x and y. Specifically, we can use the fact that BG and KT are congruent, as well as MT and WG.

Since angle T is a right angle, we know that angle MTG is also a right angle, and therefore triangle MTG is a right triangle. We can use the Pythagorean theorem to set up an equation: (4x - 3)² + (11y + 6)² = MG²

We can also use the fact that BG and KT are congruent to set up another equation: (4x - 3) = (11y + 6)

Solving this system of equations gives us: x = 6, y = 5

Substituting these values back into the original equation, we can verify that it holds true. Therefore, the values of x and y are 6 and 5, respectively.

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Given:

Required:

To find the quotient and remainder using synthetic division.

Explanation:

Consider

Here the quotient is

And the remainder is

Final Answer:

Quotient :

Remainder : -9.

The solutions of the given 3 exponential equations are given by 1. x = 104.4, 2. no solution, 3. x = 2.3979.

Solving the exponential equation: 5x + 3 = 525

Step 1: First, we will subtract both sides by 3. 5x = 522

Step 2: Now, we will divide by 5. x = 104.4

Solving the exponential equation: 3x + 7 = 9x

Step 1: We will subtract 3x from both sides. 7 = 6x

Step 2: We will divide both sides by 6. x = 1.1667

Solving the exponential equation: 20 = 56

There is no value of x which will make this equation true.

Therefore, this equation has no solution.

Solving the exponential equation: ex-1-5 = 5

Step 1: We will add both sides by 5. ex-1 = 10

Step 2: We will add 1 to both sides. ex = 11

Step 3: We will take natural logs of both sides.

ln(ex) = ln(11) x = 2.3979, rounded to 4 decimal places.

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The matrix shown represents its elements in rows and columns

Using the assumed matrix, the operation performed on the initial matrix to determine the new resultant matrix is R3 -> 2R2 + R3.

The question is incomplete, as the matrix is not shown.

So, I will give a general explanation.

Assume that the matrix is given as:

\(\left[\begin{array}{cccc}-4&1&2&4&0&-1&3&1&3&2&4&5\end{array}\right]\)

Multiply the elements on the second row (Row 2) by 2.

So, we have:

2R2 = 0 -2 6 2

Add these elements to the third row (Row 3).

So, we  have:

2R2 + R3 = 3 0 10 7

Replace the row 3 by the above elements.

i.e.

R3 -> 2R2 + R3.

So, we have:

\(\left[\begin{array}{cccc}-4&1&2&4&0&-1&3&1&3&0&10&7\end{array}\right]\)

Hence, the operation performed on the initial matrix to determine the new resultant matrix is R3 -> 2R2 + R3.

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Answer:

$592,395

Step-by-step explanation:

Because $1,623 x 365= $592,395 in a year

a) The work needed to stretch the spring from 30 cm to 38 cm is 1.69 J

b) A force of 25 N will keep the spring stretched approximately 36.75 cm beyond its natural length.

(a) To find the work needed to stretch the spring from 30 cm to 38 cm, we can use the work formula:

W = (1/2)k(d2^² - d1²)

Given:

Initial displacement (d1) = 30 cm

Final displacement (d2) = 38 cm

We need to find the spring constant (k) to calculate the work done.

To find the spring constant, we can rearrange the work formula as follows:

W = (1/2)k(d2² - d1²)

2W = k(d2² - d1²)

k = (2W) / (d2² - d1²)

Given that the work W = 3 J, and using the values of d1 and d2, we can calculate k:

k = (2 * 3 J) / ((38 cm)² - (30 cm)²)

k = 6 J / (1444 cm² - 900 cm²)

k = 6 J / 544 cm²

Now, we can calculate the work needed to stretch the spring from 30 cm to 38 cm:

W' = (1/2)k(d2² - d1²)

W' = (1/2)(6 J / 544 cm²)((38 cm)² - (30 cm)²)

W' ≈ 1.69 J (rounded to two decimal places)

Therefore, the work needed to stretch the spring from 30 cm to 38 cm is approximately 1.69 J.

(b) To find how far beyond its natural length a force of 25 N will keep the spring stretched, we can rearrange the formula for work to solve for the displacement:

W = (1/2)k(d2² - d1²)

2W = k(d2² - d1²)

d2^2 - d1² = (2W) / k

d2^2 = d1² + (2W) / k

d2 = √(d1² + (2W) / k)

Given:

Force (F) = 25 N

We can calculate the displacement:

d2 = √(d1² + (2F) / k)

d2 = √((28 cm)² + (2 * 25 N) / ((6 J) / (544 cm²)))

d2 ≈ 36.75 cm (rounded to two decimal places)

Therefore, a force of 25 N will keep the spring stretched approximately 36.75 cm beyond its natural length.

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Answer:

well, the value of x is unknown

ANSWER

My answer is in the photo above

The cost to put a fence along the borders of the flower patch is $19.27

From the question, we have the following parameters that can be used in our computation:

Cost = $2.89 for a 27-inches section

Next, we calculate the perimeter of the patch by adding the side lengths

So, we have

Perimeter = 2 ft 3 in + 2 ft + 2 yd + 25 in + 3 ft 5 in

Evaluate

Perimeter = 15 feet 9 inches

Convert to inches

Perimeter = 180 inches + 9 inches

So, we have

Perimeter = 189 inches

Next, we have

Cost = 180 * 2.89/27

Evaluate

Cost = $19.27

Hence, the cost is $19.27

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Answer:

He does not have enough money, as 10 < 10.50.

Step-by-step explanation:

The first step to solve this question is finding the cost of 7 packs of gum.

1 pack costs $1.50.

So 7 packs will cost 7*1.50 = $10.50.

Pablo has 10 dollars, which is less than $10.50(10 dollars and 50 cents). So he does not have enough money.

Answer:

9, 10

Step-by-step explanation:

9² = 81

10² = 100

Answer:

8x+7

Step-by-step explanation:

Use the given functions to set up and simplify  

(f+g)(x)

Answer:

8x + 7

Step-by-step explanation:

(f+g)(x)= f(x) +g(x) = 3x + 10 + 5x - 3 = 8x + 7

>>> alist = [2, 3.5, 7, 9]. It can be find out by using concept of sorting and basic knowledge of programming.

What is sorting?

A sorting algorithm in computer science is a method for organising the items on a list. The most frequently utilised ordering systems are lexicographical and numerical, both in ascending and descending order. The effectiveness of other algorithms (like search as well as merge algorithms) which require input data being in sorted lists must be maximised, so efficient sorting is crucial. Additionally, canonicalizing data and creating output that is readable by humans both benefit from sorting.

i.e. either in ascending or descending order.

Here , sort() is a function that is used to sort the given list "alist".

By default sort() arranges in ascending order.

Given elements of list = 9, 2, 3.5, 7

So, ascending order = 2, 3.5, 7, 9

So, >>>alist = [2, 3.5, 7, 9]

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Using the concepts of probability, we got that  0.063 is the probability of picking a blue marble randomly out of a bag of 6 blue marbles, 3 black marbles, and 8 orange marbles while rolling a 3 on a 6-sided dice at the same time

We know very well that probability is defined as the fraction of number of favorable outcomes to the total number of outcomes.

Here, we are rolling a 6-faced dice.

Getting 3 on the top face of dice is same as the any number getting from 1 to 6 on the top face of the dice.

So, every number has equal probability to come on the top face,  therefore the probability of getting 3 on the top face of dice is (1/6)

Now, similarly total number of marbles in the bag=6 blue +3 black+8 orange marble=17 marbles.

Now, picking one marble from 17 marble is can be done in \(^1^7C_1\)  ways, similarly  choosing 1 blue marble from 6 marble can be done in \(^6C_1\) ways.

So, probability of picking 1 blue marble randomly=6/17

Now, the probability of picking 1 blue marble from 17 marbles along with rolling dice probability is given by =(6/17)×(1/6)=(1/17)=0.063

Hence, the probability of picking a blue marble randomly out of a bag of 6 blue marbles, 3 black marbles, and 8 orange marbles while rolling a 3 on a 6-sided dice at the same time is 0.063

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