In an equation, y varies directly as x
varies. If y = 42 when x = 56, what is
the value of x when y = 18?
A )24
B )28
C )32
D )36

Answer:

\(\huge\boxed{\sf (4q - 1)\²}\)

Step-by-step explanation:

= 16q² - 8q + 1

We can also write it as:

= (4q)² - 2(4q)(1) + (1)²

a² - 2ab + b² = (a - b)²

So, the above expression becomes:

\(\rule[225]{225}{2}\)

Answer:

here hope it works

Step-by-step explanation:

Step-by-step explanation: (I'm not gonna' do it all for you tho)

to convert from percent to fraction:

70% = \(\frac{70}{100} =\frac{7}{10}\)

to convert from fraction to percent:

\(\frac{11}{20}=\frac{55}{100}\) = 55%

to convert from fraction to decimal:

\(\frac{3}{25} =\frac{12}{100} =0.12\)

to convert from decimal to fraction:

\(1.25=\frac{125}{100} =1\frac{25}{100} =1\frac{1}{4}\)

to convert from percent to decimal:

0.2% = \(\frac{0.2}{100} =0.002\)

to convert from decimal to percent:

\(0.4= (0.4*100)\)% = 40%

With that, you can solve the rest on your own

Using unitary method, we can calculate the number of 0.04s boxes between R-R intervals on an ECG trace for our chosen event.

The unitary method is a mathematical technique that involves finding the value of one unit of a given quantity and then using it to find the value of a different quantity. In this case, we want to find the change in heart rate per second, so we need to determine how many beats per second our chosen event increases our heart rate by.

To calculate the duration of each R-R interval, we can use the following formula:

R-R interval duration = 1 / heart rate (in seconds)

Assuming our starting heart rate is 90 bpm and our event increases our heart rate by y beats per second, we can calculate the new heart rate as follows:

New heart rate = 90 bpm + (y * 60) bpm

We can then calculate the duration of each R-R interval using the formula above.

Finally, to find the number of 0.04s boxes between R-R intervals on an ECG trace, we can convert the R-R interval duration to a number of 0.04s boxes. Each 0.04s box on an ECG trace represents 0.04 seconds, so we can use the following unitary method:

1 second = 25 0.04s boxes

R-R interval duration (in seconds) = x seconds

Number of 0.04s boxes = x * 25

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Answer:

124°.

Step-by-step explanation:

x+24°+32°=180° (sum of angles is 180°)

⟹x+56°=180°⟹ x=180°–56°=124°.

Answer:

a) -73°C, -15°C, -12°C, 0°C, 16°C, 37°C, 96°C

a) 96°C, 37°C, 16°C, 0°C, -12°C, -15°C, -73°C

b) -36°C, -15°C, -7°C, -1°C, 0°C, 20°C, 23°C

b) 23°C, 20°C, 0°C, -1°C, -7°C, -15°C, -36°C

Answer:

25/4

Step-by-step explanation:

perimeter is total length of all side

height =2(x+2) (×2 bcause has 2 side)

length =2(3x-1) (×2 bcause has 2 side)

2x+4+6x-2=52

8x-2=52

8x=50 (8x is 8 times x, so move to the other side become divide)

x=50/8

simplify

x= 25/4

Answer:

I think it's -7/8 I'm not sure but I'm pretty sure it us

Answer:

15

Step-by-step explanation:

We know that b=5. Therefore, b is 5. Therefore, we plug this into the expression. (5)3. 5 times 3 is equal to 15. Therefore, the answer is 15.

If this has helped you please mark as brainliest

Answer

All 4 sides are congruent and all 4 angles are right angles

Step-by-step explanation

In a square, all the four sides measure the same (they are congruent). And the four angles are right angles, that is, they measure 90°

Answer: $14.00

Steps: To find the percentage, Multiply original amount by the percentage (convert percent to decimal form).

So, 20 × .30 = 6

She gets $6.00 off the original price.

$20.00 - $6.00 = $14.00

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The following elements were included in the response: labeling x-axis as age, labeling y-axis as texting speed, plotting points according to age and texting speed, and identifying a relationship between texting speed and age.

In the response, the following elements were included:

1. Labeling the x-axis as the input variable, age: This is important to indicate the independent variable being plotted.

2. Labeling the y-axis as the output variable, texting speed: This is crucial to indicate the dependent variable being represented.

3  Plotting the points according to age and texting speed: This involves placing the ordered pairs (age, texting speed) on the coordinate plane, with age values on the x-axis and texting speed values on the y-axis.

4. Identifying a relationship between the change in texting speed as age increases: By analyzing the plotted points and examining the pattern or trend, one can determine if there is a relationship between age and texting speed. For example, if the texting speed generally increases as age increases or if there is a linear or nonlinear relationship between the two variables.

Including all of these elements allows for a comprehensive analysis of the relationship between age and texting speed, providing a visual representation and enabling the identification of any patterns or trends.

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Enseñanza Básica is the term used to describe the first level of education in the Chilean education system, which includes the first to eighth grades. A teacher of Enseñanza Básica asked his students to choose three-digit mixed numbers that can be formed.

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The difference between the greatest and the least mixed numbers is 9.87 - 6.0789 ≈ 3.7911.

The three digits different from {1, 2, 3, 4, 5} can be chosen from {0, 6, 7, 8, 9}.

The greatest mixed number is formed by placing the largest digit as the whole number and the remaining two digits as the fraction in descending order, i.e., 9 87/100 or 9.87.

The smallest mixed number is formed by placing the smallest non-zero digit as the whole number and the remaining two digits as the fraction in ascending order, i.e., 6 07/90 or 6.0789.

The difference between the greatest and the least mixed numbers is 9.87 - 6.0789 ≈ 3.7911.

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The Question in English

A Basic Education teacher tells his students to choose three digits

different from the set {1, 2, 3, 4, 5} and form mixed numbers by placing the digits

in the locker It also reminds them that the fractional part has to be

less than 1, for example

2

3

5

. What is the difference between the greatest and the least of the

mixed numbers that can be formed?

Answer:

Step-by-step explanation:

9514 1404 393

Answer:

  A = 108.78°

  a = 11 mi

  b = 7 mi

Step-by-step explanation:

The sum of angles in a triangle is 180°, so the third angle is ...

  A = 180° -38.71° -32.51°

  A = 108.78°

__

The remaining sides can be found from the law of sines.

  a/sin(A) = c/sin(C)

  a = sin(A)·c/sin(C) ≈ 0.946762 × 11.163896

  a ≈ 11 mi

  b = sin(B)·11.163896 ≈ 0.625379 × 11.163896

  b ≈ 7 mi

The selling price of the bicycle is equal to R1,102.

In Mathematics, profit can be defined as a measure of the amount of money generated when the selling price is deducted from the cost price of a good or service, which is usually provided by producers.

Mathematically, the amount of profit made from selling a bicycle can be calculated by using the following function:

Profit made = Cost price - Selling price

Making selling price the subject of formula, we have:

Selling price = Cost price - Profit made

Selling price = R1489 - R387.

Selling price = R1,102.

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Rounding to two decimal places, the Z-score corresponding to the youngest senator of age 39 is -1.40.

To find the Z-score corresponding to a particular value in a normal distribution, we use the formula:

Z = (x - μ) / σ

where x is the value of interest, μ is the mean, and σ is the standard deviation.

Part 1 of 2: For the oldest senator of age 85:

Z = (x - μ) / σ = (85 - 56.5) / 12.5 ≈ 2.28

Rounding to two decimal places, the Z-score corresponding to the oldest senator of age 85 is 2.28.

Part 2 of 2: For the youngest senator of age 39:

Z = (x - μ) / σ = (39 - 56.5) / 12.5 ≈ -1.4

Rounding to two decimal places, the Z-score corresponding to the youngest senator of age 39 is -1.40.

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\(\huge{\textbf{\textsf{{\color{pink}{An}}{\red{sw}}{\orange{er}} {\color{yellow}{:}}}}}\)

a) 34°

b) 90°

c) 30°

No, the conditions for inference are not met. The Large Counts Condition is not satisfied because the number of successes (6) is less than 10.

To determine if the conditions for inference are met in this scenario, we need to consider a few key conditions: the 10% condition, the randomness condition, and the Large Counts Condition.

The 10% condition: This condition states that the sample size should be no more than 10% of the population size. In this case, the sample size is 10 (the number of times the penny was spun), and we don't have information about the population size. However, since the proportion of times the penny lands tails up is not likely to be affected by the sample size of 10, we can assume that the 10% condition is met.

The randomness condition: This condition requires that the sample is randomly selected from the population. If the student followed the instructions and spun the penny 10 times, recording the number of times it landed tails side up, and there was no bias in the way the spins were performed, we can assume that the randomness condition is met.

The Large Counts Condition: This condition is related to the number of successes and failures in the sample. It states that both the number of successes and failures should be at least 10. In this case, the student recorded 6 tails side up out of 10 spins. Since 6 is less than 10, the Large Counts Condition is not met.

Based on these conditions, we can conclude that the conditions for inference are not fully met. The 10% condition and the randomness condition are likely met, but the Large Counts Condition is not satisfied. This means that we should be cautious when making inferences about the true proportion of tails up based on this sample. It may not be appropriate to construct a confidence interval or perform statistical inference in this case due to the violation of the Large Counts Condition.

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Given:

Inequality is

To find:

The solution set of the given inequality:

Explanation:

Therefore the solution set is

Final answer:

The solution set is

We have to divide the total amount of money that he has in his bank account by the payment rate of the apartment:

so he only will be able to pay for the apartment 5 months.

The probability that the duration is at least 4 is 0.0053 (rounded to four decimal places).

Probability is represented by a number between 0 and 1, with 0 denoting an impossibility and 1 denoting a certainty.

(a) Let X be the duration of the contest. Then X can take values from 1 to 6, where 1 indicates that A or B wins the first game, and 6 indicates that the contest ends in a draw after 5 successive draws.

We can find the PMF of X by considering the possible outcomes for each value of X.

P(X = 1) = P(A wins) + P(B wins) = 0.2 + 0.5 = 0.7

P(X = 2) = P(A loses, B loses, A wins or B wins) = 0.3 * 0.3 * (0.2 + 0.5) = 0.054

P(X = 3) = P(A loses, B loses, A loses, B loses, A wins or B wins) = \(0.3^4\) * (0.2 + 0.5) = 0.01323

P(X = 4) = P(A loses, B loses, A loses, B loses, A loses, B loses, A wins or B wins) = \(0.3^6\) * (0.2 + 0.5) = 0.00243

P(X = 5) = P(A loses, B loses, A loses, B loses, A loses, B loses, A loses, B loses, A wins or B wins) = \(0.3^8\) * (0.2 + 0.5) = 0.0004374

P(X = 6) = P(5 successive draws) = \(0.3^5\) = 0.00243

Therefore, the PMF of X is:

X 1 2          3          4         5                 6

P(X) 0.7 0.054 0.01323 0.00243 0.0004374 0.00243

(b) To find the probability that the duration is at least 4, we need to add the probabilities of X = 4, X = 5, and X = 6.

P(X >= 4) = P(X = 4) + P(X = 5) + P(X = 6) = 0.00243 + 0.0004374 + 0.00243 = 0.0052974

Therefore, the probability that the duration is at least 4 is 0.0053 (rounded to four decimal places).

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Answer:

Explanation:

The below formula can be used to determine the circumference of a circle;

where pi = 3.14

d = 8 meters

Let's go ahead and substitute the above values into our equation and solve for C;

The diameter of circle is d = 16 cm.

The area of one peice is equal to one-eight of area of circle with diameter d = 16.

Determine the area of one peice of circle.

Thus area of one peice is,

The right response is 400%. In other words, Johnny moves at four times the pace of Jane.

We must compare the speeds of Johnny and Jane in relation to one another in order to get their ratio. According to the issue, Jane moves at a pace that is 1/4 that of Johnny. In other words, Jane moves at a speed that is one-fourth that of Johnny.

We may compare the speeds as a fraction to figure out the ratio:

Johnny's speed divided by Jane's speed equals 4/1.

This indicates that Johnny is moving at a speed that is four times that of Jane. We can express Johnny's speed as 400% of Jane's speed in percentage terms.

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Answer:

h=6

Step-by-step explanation:

h/8=12/16

16h=96

h=6

The number when divided by 43 has a quotient of 3 with 28 as a remainder is 157

The number is 157

What is an Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the number be = A

Now , the equation will be

A number divided by 43 has a quotient of 3 with 28 as a remainder

So , A / 43 = 3 + 28/43   be equation (1)

On simplifying the equation , we get

A / 43 = 3 + 28 / 43

A/43 = ( 3 x 43 + 28 ) / 43

Multiply by 43 on both sides of the equation , we get

A = 3 x 43 + 28

A = 129 + 28

A = 157

Therefore , the value of A is 157

Hence , The number when divided by 43 has a quotient of 3 with 28 as a remainder is 157

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Answer:

Step-by-step explanation: