Evaluate the expression for t = 43 and u = 12.


tu − t − u =

Answer:

ST = 7.07 units

Step-by-step explanation:

Answer:

796 feet

Step-by-step explanation:

The type of data collected by the postal worker counting the number of complaint letters received by the United States Postal Service in a given day is quantitative discrete data.

Quantitative data refers to numerical data that can be measured or counted. In this case, the postal worker is counting the number of complaint letters, which is a numerical value.

Discrete data refers to values that can only take on specific whole numbers, in this case, the count of complaint letters. Since the number of complaint letters is a countable value and does not take on fractional or continuous values, it falls under the category of discrete data.

The data collected by the postal worker represents the quantity of complaint letters received and can be used for further analysis and statistical interpretation.

Therefore, the data collected by the postal worker, which counts the number of complaint letters received by the United States Postal Service in a day, is categorized as discrete quantitative data.

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find area of 1 small bub

πr² = 3.14 × 3²

= 28.26 cm

area of 2 small bub

28.26 × 2 = 56.52 cm

area of big bub = area of 2 small bub

= 56.52

find radius by using formula

πr² = 56.52

r² = 56.52 ÷ 3.14

r² = 18

r = √18

r = 4.24 cm

round off to nearest cm

4.24 ≈ 4 cm

Answer:

it is the second one I just had this question to lol.

The area of the resulting sector, A = 9(1)/2A = 4.5 cm². The general solution of the given equation is, θ = (nπ + 1/3)π and (nπ + 2/3)π where n is an integer.

a) Given that an arc of length 3 cm subtends an angle of θ radians at the center of a circle with a radius of 3 cm, the area of the resulting sector is: A = 9θ/2. The arc length of the circle is given by: L = rθ where r is the radius of the circle. L = 3θ cm (Since the radius is given as 3 cm) Given that the arc length L = 3 cm. Therefore, 3 = 3θ θ = 1 radian (1 rad = 180/π degrees). So the area of the resulting sector, A = 9(1)/2A = 4.5 cm²

b) The equation given is, tan²θ-3secθ = -3We are to find the general solution to the above equation. So, we have, tan²θ-3secθ + 3 = 0. Putting secθ = 1/cosθ, tan²θ-3/cosθ + 3 = 0. Multiplying throughout by cos²θ we get,tan²θcos²θ-3 + 3cos²θ = 0tan²θcos²θ + 3(cos²θ-1) = 0. Dividing throughout by cos²θ we get,tan²θ+ 3(1-tan²θ) = 0tan²θ- 3tan²θ + 3 = 0 - 2tan²θ + 3 = 0tan²θ = 3/2tanθ = ± √(3/2). Using the formula, tan2θ = 2tanθ/(1-tan²θ), We get,tan2θ = ± 2√3. So the general solution of the given equation is, θ = (nπ + 1/3)π and (nπ + 2/3)π where n is an integer.

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Answer:

Options (1), (2) and (5) are true.

Step-by-step explanation:

Option (1). m∠1 = (2x + 10)°

lines c and d are the parallel lines and t is a transverse.

Therefore, m∠1 = (2x + 10)° [corresponding angles]

This option is true.

Option (2). m∠3 = 87°

Since ∠3 and angle having measure equal to 87° are the vertical angles therefore, both the angles will be equal in measure.

This option is true.

Option (3). m∠2 = (2x + 10 + 5x - 1)°

m∠2 = (5x - 1)° [Since both the angles are interior alternate angles]

Therefore, this option is not true.  

Option (4). m∠1 + m∠2 = m∠3

(5x - 1) + (2x + 10) + 87 = 180° [Sum of liner angles at a point is 180°]

7x + 96 = 180

7x = 180 - 96

x = \(\frac{84}{7}\)

x = 12

Therefore, m∠1 = (2x + 10) = 34°

                 m∠2 = (5x - 1) = 59°

                 m∠3 = 87°

For the given relation,

m∠1 + m∠2 = m∠3

34 + 59 = 87

93 = 87

Not true.

Therefore, this option is not correct.

Option (5). 87 + 2x + 10 + 5x - 1 = 180°

True.

Since these angles are the linear angles so the sum of all angles = 180°

Therefore, the given option is correct.

Options (1), (2) and (5) are the true.

Answer:

answer 1 2 and 5

Step-by-step explanation:

right on edge

Answer:

a) 7/2

b) 2.0207

c) 2/7

d) 0.2687

e) 0.0629

Step-by-step explanation:

the distribution between 0 to 7

a = 0, b = 7

a) μ = (a + b)/2 = (0 + 7)/2 = 7/2

b) σ = sqrt((7 - 0)^2/12) = 2.0207

c) P(x > 5 mins) = (7 - 5)/7 = 2/7

d) waited for 0.3 mins

f(x) = \(\frac{1}{7 - 0.3}\) = 1/6.7

P ( 1.7 < x < 3.5) = (3.5 - 1.7)(1/6.7) = 0.2687

e) P(x < k) = (k-0)(1/7) = 0.44

0.44/7 = 0.0629

The least common denominator of the fractions 2/9 and 3/4 is 36

The fractions are given as 2/9 and 3/4

The denominators in the above fractions are 9 and 4

List the multiples of 9 and 4

9: 9, 18, 27, 36, 45

4: 4, 8, 12, 16, 20............, 36, 40....

The smallest common multiple in the above list is 36

Hence, the least common denominator of 2/9 and 3/4 is 36

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The technique that is NOT used in variable selection is principal components analysis. Thus, option (B) is the correct option.

Variable selection is the process of selecting the appropriate variables (predictors) to incorporate in the statistical model. It is an important step in the modeling process, especially in multiple linear regression.

The technique(s) used in variable selection may vary depending on the purpose of the analysis and the features of the data.

There are various methods and techniques for variable selection, such as stepwise regression, ridge regression, lasso, and VIF regression. However, principal components analysis is not a variable selection technique but rather a dimensionality reduction technique.

PCA is used to reduce the number of predictors (variables) by transforming them into a smaller set of linearly uncorrelated variables known as principal components.

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Answer:

A I THINK IM SORRY IF IM WRONG

Step-by-step explanation:

Answer:

It is the second one

Step-by-step explanation:

The total number of seeds that Josiah would plant would be = nR×S

To determine the total number of seeds that Josiah will plant will be to add the seeds in the total number of rooms he planted.

Let each row be represented as = nR

Where n represents the number of rows planted by him.

Let the seed be represented as = S

The total number of seeds he planted = nR×S

Therefore, the total number of seeds that was planted Josiah would be = nR×S.

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As per the mathematical operation both Jillian and Samuel are correct.

Given expression = 30+40+70,

The methodology by Jillian = added 30 and 40 and then 70

The methodology by Samuel = added 30 and 70 and then 40.

Determining the result of the given equation:

30 + 40 + 70

= 140

Reviewing the operations of both Jillian and Samuel

Jillian

He added 30 and 40 and then 70:

30 + 40 = 70

70 + 70 = 140

Samuel

He added 30 and 70 and then 40

30 + 70 = 100

100 + 40 = 140

The result of both mathematical operations is 140. Thus, it can be stated that both are correct.

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Answer:

the answer is 2....................

To find the product AB, we need to multiply the matrix A, which is a 1x5 matrix, with matrix B, which is a 5x1 matrix. The resulting product AB is a 1x1 matrix.

To find the product BA, we need to multiply the matrix B, which is a 1x5 matrix, with matrix A, which is a 5x1 matrix. The resulting product BA is a 1x1 matrix. To find the matrix A, we are given the entries of the matrix [12 3 5 2 1]. No further calculations are needed.

To find AB, we multiply the matrix A [12 3 5 2 1] by the matrix B [-2 6 8 2 4]. The dimensions of A are 1x5, and the dimensions of B are 5x1. Multiplying these matrices, we get AB = [12*-2 + 36 + 58 + 22 + 14] = [-24 + 18 + 40 + 4 + 4] = 42. To find BA, we multiply the matrix B [-2 6 8 2 4] by the matrix A [12 3 5 2 1]. The dimensions of B are 1x5, and the dimensions of A are 5x1. Multiplying these matrices, we get BA = [-212 + 63 + 85 + 22 + 4*1] = [-24 + 18 + 40 + 4 + 4] = 42. To find the matrix A, we are given the entries of A as [12 3 5 2 1]. No further calculations are needed.

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Answer:

Step-by-step explanation:

its b

Sheila used approximately 18.46 inches of fabric on headbands and wristbands for each player.

The amount of fabric used on headbands and wristbands for each player, we need to divide the total amount of fabric used by the number of players.For the headbands, Sheila used 812.16 inches of fabric for 44 players and 3 coaches. Therefore, the fabric used per player for headbands is (812.16 inches)/(44 players + 3 coaches) = 812.16 inches/47 = approximately 17.27 inches.

On the other hand, Sheila used 393.36 inches of fabric on wristbands for just the players. Thus, the fabric used per player for wristbands is (393.36 inches)/(44 players) = approximately 8.94 inches.

Total fabric used on both headbands and wristbands for each player, we add the fabric used per player for headbands and wristbands: 17.27 inches + 8.94 inches = approximately 26.21 inches. Therefore, Sheila used approximately 26.21 inches of fabric on a headband and wristband for each player.

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ANSWER

112

EXPLAINATION

28÷16 = 7

7×16 = answers

Answer:

(x - 1)² + 16

Step-by-step explanation:

Subtract 17 from both sides of the equation.

Use the formula (b/2)² to see which number you have to add to both sides.

Add 1 to both sides of the equation.

Factor the left side of the equation into a perfect square.

Add 16 to both sides of the equation.

(x - 1)² + 16 is the equation in standard form (x² - 2x + 17) rewritten by completing the square.

Answer:

a). -8    b). 4/19

Step-by-step explanation:

F(x)= x²+9x       g(x)=1/x.

g(-1) = 1/ - 1

= -1

f(-1) = x²+9x

= -1² + 9(-1)

= 1 - 9

= -8

G(f(1/2))

f(1/2) = x²+9x

= 1/2² + 9(1/2)

= 1/4 + 9/2

= 19/4

g (19/4) = 1/x

= 1/19/4

= 4/19

Answer:

1). -8    2). 4/19

Step-by-step explanation:

F(x)= x²+9x       g(x)=1/x.

g(-1) = 1/ - 1

= -1

f(-1) = x²+9x

= -1² + 9(-1)

= 1 - 9

= -8

G(f(1/2))

f(1/2) = x²+9x

= 1/2² + 9(1/2)

= 1/4 + 9/2

= 19/4

g (19/4) = 1/x

= 1/19/4

= 4/19

Answer:

26.65 or 58

Step-by-step explanation:

Answer:

5.1 × 10^ -2

Step-by-step explanation:

Answer:

5.1 * 10^2

Pretty sure this is correct, hope this helps!

The value of E is \((-2)^{\frac{n-1}{8n} }\).

An equation is a mathematical statement that is made up of two expressions connected by an equal sign.

We have,

\(E^{8n}\) = 1 x \((-2)^{n -1}\)

8n root on both sides.

E = \(((-2)^{n -1})^\frac{1}{8n}\)

E = \((-2)^{(n-1)\times\frac{1}{8n}}\)

E = \((-2)^{\frac{n-1}{8n} }\)

Thus,

E = \((-2)^{\frac{n-1}{8n} }\).

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Answer:

I believe the answer is IQR

Step-by-step explanation:

Step-by-step explanation:

y = 200  - 3 *x  has slope = -3   this is downward sloping from L to R

Answer:downward sloping

Step-by-step explanation:

negative slope

Answer: graph x intercept  7 y intercept 3

p-by-step explanation: