The perimeter of a rectangular field is 322 m. If the length of the field is 94 m , what is its width?

Answer:

\(8 \div \frac{1}{2} = 8 \times \frac{2}{1} = 8 \times 2 = 16\)

If your question is 4(3x5)

then the answer is 60

Answer: The hundred-thousandth place

The solution of expression is,

⇒ (6 + a⁴b) / a²b²

We have to given that,

An expression to solve is,

⇒ 6/a²b² + a²/b

Since, Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Now, WE can simplify the expression as,

⇒ 6/a²b² + a²/b

Take LCM;

⇒ (6 + a² × a²b)  / a²b²

⇒ (6 + a⁴b) / a²b²

Therefore, The solution of expression is,

⇒ (6 + a⁴b) / a²b²

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The required measure for the supplementary angles EB is calculated as 126°.

Given that,
Two supplementary angles are given ZA and ZB.
ZA = 2x - 20 ; ZB = 3x + 15

To determine the measure of ZB.

The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.

Here,
The sum of the supplementary angle is 180°.
ZA + ZB = 180°
2x - 20 + 3x + 15 = 180
5x - 5 = 180
5x = 180 + 5
5x = 185
x = 37
Now,
the measure of angle,
ZB = 3x + 15
ZB = 3 * 37 + 15
ZB = 126°

Thus, the required measure of the angle EB is 126°.

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The value of the energy E when m=6kg and v=2ms-1​ is;  E = 12 Joules

We are told that the energy E is possessed by a moving object that varies directly as the mass of m and the square of velocity V. Thus, this can be expressed as;

E = kmV²

Where k is the constant of variation

Thus,  when m= 8kg, v=5ms-1 and e =100 joules, we have;

100 = k * 8 * 5²

k = 100/(8 * 5²)

k = 0.5

Thus, when m=6kg and v=2ms-1​, we have;

E = 0.5 * 6 * 2²

E = 12 Joules

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Using mathematical operations, we know that Sofia will spend $56 and order 7 additional rolls of sushi (84 pieces).

An operation is a function in mathematics that transforms zero or more input values into a clearly defined output value.

The operation's arity is determined by the number of operands.

PEMDAS stands for Parentheses, Exponents, Multiplication, Division, and Addition Subtraction (from left to right).

So, they require at least 100 sushi pieces.

24 pieces of sushi had previously been ordered and paid for by Sofia.

Roll sushi is available.

Each roll = 12 pieces at $8

R = additional rolls that Sofia orders

Additional sushi = Needed sushi - ordered sushi

=100-24

=76 pieces of sushi

A roll contains 12 pieces.

76/12 = 6.33

Rolls must be ordered by Sofia.

She will therefore place 7 additional sushi rolls, each with 12 pieces.

12*7=84 pieces

Remember that they need at least 100 pieces, so there may be more than 100 in total.

84 pieces plus the 24 pieces Sofia has previously ordered.

The total number of pieces will be 108.

Therefore, using mathematical operations, we know that Sofia will spend $56 and order 7 additional rolls of sushi (84 pieces).

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Complete question:
Sofia ordered sushi for a company meeting. They change plans and increase how many of people

will be at the meeting, so they need at least 100 pieces of sushi in total.

Sofia had already ordered and paid for 24 pieces of sushi, so she needs to order additional sushi.

The sushi comes in rolls, and each roll contains 12 pieces and costs $8. How many more sushi Sofia will order and of what amount?

Answer:

c

Step-by-step explanation:

Answer:

3 feet to inches =36 inches

Step-by-step explanation:

multiply the length value by 12

5.4.5 into hours =16200

multiply the time value by 3600

Answer:

Step-by-step explanation:

138° - 80° = 58°

Answer:

x = 1/3

Step-by-step explanation:

3x - 1 = 1 - 3x

Add 3x to both sides:

3x - 1 + 3x = 1 - 3x + 3x

6x - 1 = 1

Add 1 to both sides:

6x - 1 + 1 = 1 + 1

6x = 2

Divide both sides by 6:

6x ÷ 6 = 2÷6

x = 2/6

x = 1/3

-Chetan K

The equation of the line that passes through (-4, 4) and is perpendicular to y = (1/2)x + 1 is y = -2x - 4.

What is slope formula?

The formula to find the slope between 2 coordinates of a line is given by;

m = (y₂ - y₁)/(x₂ - x₁)

The slope of a line perpendicular to y = (1/2)x + 1 will have a slope that is the negative reciprocal of (1/2).

Now we can use the point-slope form of a line to write the equation of the line:

y - y1 = m(x - x1)

where m is the slope and (x1, y1) is a point on the line.

Substituting m = -2 and (x1, y1) = (-4, 4), we get:

y - 4 = -2(x - (-4))

Simplifying:

y - 4 = -2(x + 4)

y - 4 = -2x - 8

y = -2x - 4

So, the equation of the line that passes through (-4, 4) and is perpendicular to y = (1/2)x + 1 is y = -2x - 4.

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1.a The probability of throwing at most 2 heads in 5 throws is more probable.

1.b A total of 2^4 = 16 outcomes.

1.c The probability of selecting a black ball, a red ball, and then another black ball is 5/56.

1a. Probability of throwing exactly 15 heads in 20 throws

Probability of getting a head is p = 0.65, and the probability of getting tails is q = 1 - 0.65 = 0.35.

Let X be the random variable which counts the number of heads in 20 throws.

Then X follows the binomial distribution B(20, 0.65).P(X = 15) = 20C15 * 0.65^15 * 0.35^5= 0.16

Probability of throwing at most 2 heads in 5 throws

Let Y be the random variable which counts the number of heads in 5 throws.

Then Y follows the binomial distribution B(5, 0.65).P(Y ≤ 2) = P(Y = 0) + P(Y = 1) + P(Y = 2)

                                                                                                  = 0.01 + 0.08 + 0.25

                                                                                                  = 0.34

Therefore, the probability of throwing at most 2 heads in 5 throws is more probable.

1b. Suppose we flip a fair coin 4 times.

For what combination(s) do there exist exactly 3 permutations?

There are a total of 2^4 = 16 outcomes.

The combinations that exist in exactly 3 permutations are HTTH, HTHT, THHT, THTH, and HHTT.

1c. Probability of selecting a black ball, a red ball, and then another black ball We want to compute the probability of pulling out 3 balls, without replacement, from a box with 5 red balls and 3 black balls.

The total number of ways of pulling out 3 balls is 8C3.

The probability of pulling out a black ball on the first draw is 3/8.

The probability of pulling out a red ball on the second draw is 5/7.

The probability of pulling out another black ball on the third draw is 2/6 = 1/3.

So, the required probability is (3/8) * (5/7) * (1/3) = 5/56.

Therefore, the probability of selecting a black ball, a red ball, and then another black ball is 5/56.

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Answer:

I think it would be 2 infinity

the slope-intercept form is:

Where m is the slope

b is the y-intercept

The rule to find the slope is:

The points (3, 10) and (6, 12) are on the line, so let us use them

x1 = 3, x2 = 6

y1 = 10, y2 = 12

let us substitute them in the rule of m

Substitute m in the form of the equation

To find b substitute x and y by the coordinates of any given point

let x = 3 and y = 10 (1st point)

The value of b is 8, substitute it in the equation

This is the slope-intercept form of the line passes through the given points

The correct answer is (b). SSB = SST - SSW

The ANOVA (analysis of variance) test is a statistical method used to compare the means of two or more groups. One useful computational shortcut for this test is expressed as SSB = SST - SSW, where SSB is the sum of squares between groups, SST is the total sum of squares, and SSW is the sum of squares within groups.

The useful computational shortcut for the ANOVA test is expressed as:

SSB = SST - SSW

where SSB is the sum of squares between groups, SST is the total sum of squares, and SSW is the sum of squares within groups.

Option (b) is the closest, but it has a typo. It should be:

SSB = SST - SSW

Therefore, the correct answer is (b).

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The useful computational shortcut for the ANOVA test is SSW = SST - SSB

therefore,option d. SSW = SST - SSB is correct.


ANOVA (Analysis of Variance) is a statistical test used to analyze differences between group means.

The test involves partitioning the total variation into two components:

variation between groups (SSB, sum of squares between) and variation within groups (SSW, sum of squares within).

The total sum of squares (SST) represents the overall variability in the dataset.

The computational shortcut for ANOVA states that the sum of squares within groups (SSW) can be calculated by

subtracting the sum of squares between groups (SSB) from the total sum of squares (SST).

So, SSW = SST - SSB.

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Answer:

the first option, I believe is correct

Step-by-step explanation:

Answer:

19,188

Step-by-step explanation:

hope this helps ;)

Answer:

208

Step-by-step explanation:

4*30 = 120

(15-4) * 8 = 88

88 + 120 = 208

Answer:

208 cm

Step-by-step explanation:

Solving right side first. 8*15=120

Take out 8cm from 30. 30 - 8 = 22

22*4= 88

88 + 120 = 208

Check work I found the total area and the white rectangle.

15*30=450 which in total area

15-4=11 11 is the left/right side of the white rectangle

30-8=22 22 is the top/bottom side of the white rectangle.

22*11= 242

208+242=450

The rate of change in the equation y = 15x + 20 is 15. This means that for every increase of 1 unit in x (1 month), the total cost y will increase by 15. So the cost per month is 15 dollars.

The initial value in the equation y = 15x + 20 is 20. This means that when x = 0 (i.e. no months have passed), the total cost y is equal to 20 dollars. So the initial membership fee is 20 dollars.

Answer:

Through from posted good new dts day utilities january home tub just further january kg has last jan free k be page with questions 2:5

Answer:

-2

Step-by-step explanation:

\(Rule(s): a\frac{b}{c} = \frac{a \cdot c + b}{c}, \frac{-a}{b}=-\frac{a}{b}, \frac{\frac{a}{b}}{\frac{c}{d}}=\frac{a\cdot \:d}{b\cdot \:c} \\2\frac{2}{3}=\frac{2\cdot 3+2}{3}\\=\frac{8}{3}\\=\frac{-\frac{8}{3}}{\frac{4}{3}}\\=-\frac{\frac{8}{3}}{\frac{4}{3}}\\=\frac{-8\cdot \:3}{3\cdot \:4}\\= \frac{-24}{12}\\= -2\)

Answer:

[See Below]

Step-by-step explanation:

\(Hey~There!\)

________________________

➜ Solve:

________________________

So based on our work above we can conclude that the equation is equal because when solve it equals \(1\), making \(1=1\).

________________________

\(Hope~this~helps~Mate!\\-Your~Friendly~Answerer,~Shane\) ヅ

The measure of an inscribed angle with the center of the circle in the interior of the angle is half the measure of its intercepted arc.

According to Corollary 2 of the Inscribed Angle Theorem, when an angle is inscribed in a circle and the center of the circle lies in the interior of the angle, the measure of the inscribed angle is half the measure of its intercepted arc.

In other words, if we have a circle and an angle formed by two intersecting chords or secants, and the center of the circle is located within the angle, then the measure of the inscribed angle is equal to half the measure of the arc intercepted by the angle.

This corollary is a useful property that helps establish a relationship between inscribed angles and their intercepted arcs in a circle. It allows us to determine the measure of an inscribed angle by considering the corresponding intercepted arc, and vice versa.

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Answer:

\(AB = 8\)

Step-by-step explanation:

Given

\(x = 60\)

\(BC = 4\)

See attachment

Required

Find AB

From the attachment, using cosine rule:

We have:

\(cos\ x = \frac{BC}{AB}\)

Make AB the subject

\(AB = \frac{BC}{cos\ x}\)

Substitute values for BC and x

\(AB = \frac{4}{cos\ 60}\)

\(AB = \frac{4}{0.5}\)

\(AB = 8\)

Since Marcus looked at the clock shown above and said, 1/4 of an hour has passed. Sierra said 3/12 of an hour has passed. Ali said 15/60 of an hour has passed. They're equivalent and the teacher is right that they're all correct.

It should be noted that from the information, Marcus looked at the clock shown above and said, 1/4 of an hour has passed. Sierra said 3/12 of an hour has passed. Ali said 15/60 of an hour has passed.

In this case, their teacher said that they were all correct.

This means that:

1/4 = 3/12 = 15/60

It should be noted that they are all equivalent fractions. This implies that they are equal.

Therefore, the teacher is correct.

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The radius of the pool is 9.01 m.

Given,

In the question:

A circular pool is surrounded by a brick walkway 3 m wide.

The area of the walk- way is 198 m^2.

To find the Radius of the pool.

Now, According to the question:

"Area of the circle bounded by the outside edge of the walkway" minus "area of the pool" = "area of the walkway".

Let R = Radius of the pool

Area of the circle bounded by the outside edge of the walkway is:

\(\pi\)(R +3)^2

Area of the pool is:

\(\pi R^2\)

Now, Our equation is:;

\(\pi\)(R +3)^2 - \(\pi R^2\) = 198

\(\pi\)((R+3)^2 - \(R^2\)) = 198

Open the inner bracket :

\(\pi\)(\(R^2+6R+9-R^2\)) = 198

\(\pi\)(6R +9) = 198

6R+9 = 198/\(\pi\)

6R = 198/\(\pi\) - 9

R = (198/\(\pi\) - 9)/6

R = (198/(3.14) - 9)/6

R = (63.057 - 9)/6

R = 54.057/6

R = 9.01 meters

Hence, The radius of the pool is 9.01 m.

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Answer:  

opposite

Step-by-step explanation:

The price per T-shirt should be at least $15 to achieve a profit of $250.

To calculate the price per T-shirt that will yield a profit of at least $250, we need to consider the cost of production, the desired profit, and the number of shirts to be sold.

Given that the cost to make each T-shirt is $10, and we want to sell 50 shirts, the total cost of production would be 10 * 50 = $500.

Now, let's calculate the minimum revenue needed to achieve a profit of $250. We add the desired profit to the total cost of production: $500 + $250 = $750.

Finally, to determine the price per T-shirt, we divide the total revenue by the number of shirts: $750 ÷ 50 = $15.

Therefore, to make a profit of at least $250, the price per T-shirt should be set at $15.

By selling each T-shirt for $15, the total revenue would be $15 * 50 = $750. From this revenue, we subtract the total production cost of $500 to calculate the profit, which amounts to $750 - $500 = $250. Thus, by charging $15 per T-shirt, the desired profit of $250 is achieved.

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