What is the value of x in the equation 32(4x – 1) – 3x = 54 – (x + 2)? 1/16 3/16 19/16 or 3

Answer: b, 192

Step-by-step explanation: that just seems like a reasonable amount/

Answer:

Step-by-step explanation:

3

If the school requieres 6 teachers for every 96 students then

1 teacher will be required for every

= 96/6

= 16 students

If 3 tutors for every 30 students then 1 tutor is required for

= 30/3

= 10 students

If the academy has 100 students, the number of tutors required would be

= 100/10

= 10 tutors

Hence

The academy requires;

Given that f(x, y) is a linear function, and the constraints themselves are also linear, it follows that the vertices of the feasible region are the sites of extrema of f(x, y). So just find where each boundary line intersects with another line, and check the value of f(x, y) at each intersection.

We have

• x = 0 and y = 0   ===>   (0, 0)

• x = 0 and 2x + 7y = 70   ===>   y = 10   ===>   (0, 10)

• y = 0 and 8x + 4y = 136   ===>   x = 17   ===>   (17, 0)

• 2x + 7y = 70 and 8x + 4y = 136   ===>   (14, 6)

At these points, we respectively get

• f (0, 0) = 0

• f (0, 10) = 60

• f (17, 0) = 34

• f (14, 6) = 64

Then max f(x) = 64 at (14, 6) and min f(x) = 0 at (0, 0).

The answer will be 7.45628

The given sequence does not follow a simple arithmetic or geometric pattern, making it challenging to determine an explicit rule based on the given terms.

To identify the type of sequence and write the explicit rule, we need to examine the pattern of the given sequence: -39, -45, 51, 57, ...

By observing the differences between consecutive terms, we can determine if it follows an arithmetic or geometric pattern.

Arithmetic sequences have a common difference between each term, meaning that by adding (or subtracting) the same value repeatedly, we can generate the sequence. Geometric sequences, on the other hand, have a common ratio between each term, meaning that by multiplying (or dividing) by the same value repeatedly, we can generate the sequence.

Let's calculate the differences between consecutive terms:

-45 - (-39) = -6

51 - (-45) = 96

57 - 51 = 6

From the differences, we can see that the sequence is not arithmetic since the differences are not constant. However, the differences alternate between -6 and 6, indicating a possible geometric pattern.

Let's calculate the ratios between consecutive terms:

-45 / (-39) ≈ 1.1538

51 / (-45) ≈ -1.1333

57 / 51 ≈ 1.1176

The ratios are not constant, indicating that the sequence is neither geometric nor arithmetic.

Therefore, the given sequence does not follow a simple arithmetic or geometric pattern, and it is difficult to determine the explicit rule based on the given terms. It is possible that the sequence follows a more complex pattern or rule that is not apparent from the given terms.

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Answer:

975

Step-by-step explanation:

195 the same average x 5 the total hours =975

Answer:

\(Total = 158cm\)

Step-by-step explanation:

Given

\(x: \dfrac7{10}m, \dfrac12m,38cm\)

See comment

Required

The total height

This is calculated as:

\(Total = \sum x\)

So, we have:

\(Total = \dfrac7{10}m+ \dfrac12m+38cm\)

Express m as cm

\(Total = \dfrac7{10}cm * 100+ \dfrac12cm * 100+38cm\)

\(Total = 70cm + 50cm + 38cm\)

Take LCM

\(Total = 158cm\)

Answer: ♔158 centimeters.☯ Trust me it is correct. ヾ(•ω•`)o

well, we know its slope and we also know a point on it, so hmmm without further ado, we can get its equation, once we have the equation, we can get any point we like on it pretty much, so

\((\stackrel{x_1}{4}~,~\stackrel{y_1}{5})\hspace{10em} \stackrel{slope}{m} ~=~ 2 \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{5}=\stackrel{m}{2}(x-\stackrel{x_1}{4}) \\\\\\ y-5=2x-8\implies y=2x-3\)

well then hmmm to get some other point hmmm let's pick a random "x" hmmm say  dunno x = -13, so

\(\underline{x=-13}\hspace{5em}y=2(\stackrel{x}{-13})-3\implies y=-26-3\implies \underline{y=-29} \\\\[-0.35em] ~\dotfill\\\\ ~\hfill \underset{another~point}{(-13~~,~~-29)}~\hfill\)

Answer:

B. All real numbers

Step-by-step explanation:

I calculated it logically

Answer:

I believe it is all real numbers

Answer:

x=−3.207703,−1.142291,2.183328

Step-by-step explanation:

x−6x3−13x2+34x+48=0

−6x3−13x2+35x+48=0

1. Use cubic formula.

x=−3.207703,−1.142291,2.183328

Answer:

a) Yes, because the sample sizes of both groups are greater than 5.

Step-by-step explanation:

Sample size of men is 41 and sample size of women is 56. Thus, we can conclude that;

Yes the requirements are satisfied to perform the hypothesis test because the sample sizes of both groups are greater than 5.

Option A is correct.

A fraction of the students who have brown hair is equal to 1/7.

You should shade only one (1) section on the pie chart to show the number of students with brown hair.

In Mathematics, a pie chart can be defined as a type of graph that is used for the graphical representation of the proportion relationship between each part or unit to a whole, especially by dividing a circle into various sectors or sections.

Based on the information provided in the table (see attachment), we can logically deduce the following parameters about the various hair color;

Number of brown hair = 1 brown hair.

Number of blonde hair = 4 blonde hair.

Number of black hair = 2 black hair.

Therefore, the total number of hairs is equal to 7 hairs.

For the fraction of students with brown hair, we have;

Fraction = 1/7.

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Answer:

it would be within the range of $0.77 <x< $0.78

Answer:

70.76

Step-by-step explanation:

Answer:

70.2

Step-by-step explanation:

156*0.45

Answer:

17k - 25

Step-by-step explanation:

- 5(1 - 5k) - 4(2k + 5) ← distribute parenthesis

= - 5 + 25k - 8k - 20 ← collect like terms

= 17k - 25

Step-by-step explanation:

distribute -5 and -4

-5×1, -5×-5k and -4×2k, -4×5

so,

negative times negative is positive and positive times negative is negative

-5+25k-8k-20

add common variables

-5-20+25k-8k

-25+17k

Answer:

The correct option is (D).

Step-by-step explanation:

The p-value is well defined as per the probability, [under the null hypothesis (H₀)], of attaining a result equivalent to or more extreme than what was truly observed.

A small p-value (typically ≤ 0.05) specifies solid proof against the null hypothesis (H₀), so you discard H₀.

A large p-value (> 0.05) specifies fragile proof against the H₀, so you fail to discard H₀.

The hypothesis is defined as follows:

H₀: The slope of the regression line is 0, i.e. β = 0.

Hₐ: The slope of the regression line is greater than 0, i.e. β > 0.

A scatter-plot of the measurements taken from 18 randomly selected college athletes displayed a strong positive linear relationship between the two variables; lean body mass and maximal oxygen uptake.

The significance level of the test is, α = 0.05.

The p-value of the test is, p-value = 0.04

As the p-value = 0.04 < α = 0.05, we reject the null hypothesis.

So, it can be concluded that there is a statistical evidence of a relationship between lean body mass and maximal oxygen uptake for college athletes.

Since the scatter-plot shows a strong positive linear relationship, it implies that as the an increase in lean body mass causes an increase in maximal oxygen uptake for college athletes.

Thus, the correct option is (D).

Therefore , the solution of the given problem of  probability comes out to be the right response is thus: "Drawing a red card or a Queen from a regular deck of cards is an overlapping occurrence."

The primary objective of statistical inference, a branch of mathematics, is to determine the chance that a claim is true or that a specific event will occur. Chance can be represented by any number between 0 and 1, in which 1 typically represents certainty and 0 typically represents possibility. A probability diagram shows the chance that a specific event will occur.

Here,

Because the Queen of Hearts and Jack of Spades are not face cards or nines,

the occurrences "Drawing a Queen of Hearts or Jack of Spades from a standard deck of cards" and "Drawing a face card or a 9 from the a standard deck of cards" do not overlap.

A Queen of Hearts is both a red card and a queen, and a diamond is a type of red card and a club is a type of card, so the occurrences "Drawing a Diamond or a Club from a Standard Deck of Cards" and "Drawing a Red Card or a Queen from a Standard Deck of Cards" overlap.

The right response is thus: "Drawing a red card or a Queen from a regular deck of cards is an overlapping occurrence."

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The distance between a line with the equation ax + by + c = 0 and a point (A, B) is given by the formula:

So, before we can apply this formula, let's rewrite the equation of the line in the form ax + by + c = 0:

y = 2x - 1

2x - 1 = y

2x - 1 - y = y - y

2x - y - 1 = 0

So, in this case, we have:

a = 2

b = -1

c = -1

Also, since we want to find the distance between this line and the point (7, 6), we have:

A = 7

B = 6

Using those in the formula, we find the distance:

Therefore, that distance is

Answer:

y-(-3) = 5(x-(-2)

y+3 = 5x+10

y = 5x+10-3

y= 5x+7

2 kg is better to buy

3.99/3= 1.33

2.59/2=1.29

so 2 kg is better

Is this a true or false?

Answer:

50 times in 1 second

Step-by-step explanation:

I don't know what your specific question, but I'm guessing you wanted divide to see how many times they flap their wings in 1 second. :)

Answer:

7 1/2-(3+7 1/3)= -17/6=-2 5/6 ≅ -2.8333333

Step-by-step explanation:

Answer:

Step-by-step explanation:

Diagonals of a parallelogram bisect each other.

Intersection point is the midpoint of either diagonal.

Let's take QS and calculate midpoint using midpoint formula:

Point (-0.5, 2) is the answer

Option B is a correct representation of the given number line,  -3.8 < 1.5, and is located to the left of 1.5.

A number line is a visual depiction of numbers on a straight line drawn either horizontally or vertically. It is simple for humans to compare numbers and carry out simple arithmetic operations on them when they are written down on a number line. A number line is thought to begin at zero (0). Left of zero, there are only negative numbers, and right of zero, there are only positive numbers.

Given a number line and two points marked on it,

-3.8 and 1.5

we find from the number line that -3.8 lie left to 1.5,

and the negative numbers are always less than the positive numbers,

so -3.8 is less than 1.5,

-3.8 < 1.5, and lie left to 1.5.

Hence, option B is correct.

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Answer:

the sum of 1.25+(0.75)=2.00

Option B. y = 3 (one-third) Superscript x is the function that is graphed in this question.

We have exponential functions to be of the form abˣ

This can be written in the form of f(x) = \(3\frac{1}{3} ^x\)

So it crosses through the point (0, 3).

From the way that the curve passes through the circle, we can see that the it is said to pass through at (0, 3) and approaches y = 0 in quadrant 1

Hence this would put our answer to be y = 3 (one-third) Superscript x

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Answer:the answer is b dont care

Step-by-step explanation:

On a coordinate plane, an exponential decay function is shown. The curve starts in quadrant 2 and decreases into quadrant 1. It crosses the y-axis at (0, 3) and approaches y = 0 in quadrant 1.

y = one-third (3) Superscript x

y = 3 (one-third) Superscript x

y = (one-half) Superscript x Baseline + 2

y = (2) Superscript x Baseline minus 1

Step-by-step explanation:

median:3

25th Percentile: 2.5

50th Percentile: 3

75th Percentile: 4

Interquartile Range: 1.5

Answer: No 1 is 91.14 km who else could help with the rest of the solution for number 1, 2 & 3.