Graph the line... running through: (-1,-5) with m=0

Angles are: m∠P is 35°, m∠Q is 55° and m∠R is 90°

Three line segments that cross at three non-collinear locations to form a triangle constitute a triangle in geometry. The three line segments are called the sides of the triangle.

Given that ∠R is right angle so, ∠R = 90°

Apply triangle angle rule,

∠P + ∠Q + ∠R = 180°

Put all given values of angles as per diagram,

⇒ (3x - 7)° + (2x +27)° + 90° = 180°

⇒ 5x + 20° = 180° - 90°

⇒ x = 70°/5

⇒ x = 14°

So, ∠P = 3x -7 = 3×(14) -7 = 35°

and ∠Q = 2x +27 = 2×(14) +27 = 55°

Therefore, ∠P is 35°, ∠Q is 55° and ∠R is 90°

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According to the question the angles are: m∠P is 35°, m∠Q is 55° and m∠R is 90°

Three line segments that cross at three non-collinear locations to form a triangle constitute a triangle in geometry. The three line segments are called the sides of the triangle.

Given that ∠R is right angle so, ∠R = 90°
Apply triangle angle rule,
∠P + ∠Q + ∠R = 180°
Put all given values of angles as per diagram,
⇒ (3x - 7)° + (2x +27)° + 90° = 180°
⇒ 5x + 20° = 180° - 90°
⇒ x = 70°/5
⇒ x = 14°
So, ∠P = 3x -7 = 3×(14) -7 = 35°
and ∠Q = 2x +27 = 2×(14) +27 = 55°
Therefore, ∠P is 35°, ∠Q is 55° and ∠R is 90°

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A cruise ship travelled 84 km in 3.5 h. 3.5 h 43.75h It will take 43.75h to travel 1050 km.

The derivative of the function is f'(s) = 9s^2 + 2 and the values are 146 and 11

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

f(s) = 3s^3 + 2s

Differentiate the function

So, we have

f'(s) = 9s^2 + 2

When the values are evaluated, we have

f(-4) = 9(-4)^2 + 2 = 146

f(-1) = 9(-1)^2 + 2 = 11

Hence, the values are 146 and 11

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Answer:

AB= 7.45

Anwer C)

Step-by-step explanation:

Cos (angle) = Nearest side / Huypothenuse

Cos(20)      = 7 / AB

Cos(20) * AB = (7 /AB) * AB

Cos (20) * AB = 7

(Cos(20) *AB) / Cos(20) = 7 / Cos(20)

AB = 7 / cos(20)

AB=    7.45

Answer:

73.40°

Given a right angle triangle.

Solve the missing angle using cosine rule.

\(\sf cos(x) = \dfrac{adjacent}{hypotenuse}\)

Here given:

adjacent: 2

hypotenuse: 7

angle: x

Solve:

\(\rightarrow \sf cos(x) = \dfrac{2}{7}\)

\(\rightarrow \sf x = cos^{-1}(\dfrac{2}{7})\)

\(\rightarrow \sf x =73 .40^ \circ \:\)

Answer:

True

Step-by-step explanation:

The difference estimator is used to address the problem of omitted variables. It is used with standard fixed effects model and the data correlated is identified using regression model. The first differenced estimator used in the equation is unbiased.

she could have scored the 10 points in 302400 ways.

The given parameters are

n= total points =10

r1 =one-point free throw = 1

r2 = two-point field goals = 2

r3 =  three-point field goals = 3

The number of ways (k) she could have scored the points is:

k=(n!)/(r1!×r2!×r3!)

The factorial function is a mathematical formula represented by an exclamation mark "!".

k= 10!/(1!×2!×3!)

k= 3628800/(1×2×6)

k= 302400

so.. she could have scored the 10 points in 302400 ways.

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Answer:

It is 50,000

Step-by-step explanation:

Because if you were to take the two 2 in front of it would leave you with 57,296, you would know it's 50,000.

Step-by-step explanation:

V∝I

V=kI

36=k*8

k=36/8

k=4.5

a. V=4.5I

b. V=4.5*14

V= 63

c. 27=4.5I

I=27/4.5

I= 6

Answer:

matrix multiplication is possible in this matrix

Step-by-step explanation:

\( ( \frac{1}{ - 1} ) \times (0 \: \: 4)\)

Answer:

D

really sorry if wrong

but I am positive that is the answer

Answer:

x = 11

Step-by-step explanation:

using the rule of logarithms

\(log_{b}\) x = n ⇒ x = \(b^{n}\)

given

\(log_{3}\) (2x + 5) = 3 , then

2x + 5 = 3³ = 27 ( subtract 5 from both sides )

2x = 22 ( divide both sides by 2 )

x = 11

The second coordinate of the given first coordinate is determined as;

f(0) = 1 and (1) = 0.7.

The second coordinate of the given first coordinate is calculated by applying the following method as follows;

The given function;

F(x) = 0.7ˣ

The value of f(0) is calculated as;

f (0) = 0.7⁰  = 1

The value of f(1) is calculated as;.

f (1) = 0.7¹ = 0.7

Thus, the second coordinate of the given first coordinate is determined by applying the appropriate substitute of the function as shown above.

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The value of the trigonometric ratios  are;

sin A = 2/5

cos A = 3/5

tan A = 2/3

It is important to note that there are six different trigonometric identities and their ratios.

We have;

From the diagram shown, we have;

sin θ = opposite/hypotenuse

cos θ = adjacant/hypotenuse

tan θ = opposite/adjacent

Then,

sin A = 6/15 = 2/5

cos A = 9/15 = 3/5

tan A = 6/9 = 2/3

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The value of the trigonometric ratios  are;

sin A = 2/5

cos A = 3/5

tan A = 2/3

It is important to note that there are six different trigonometric identities and their ratios.

We have;

From the diagram shown, we have;

sin θ = opposite/hypotenuse

cos θ = adjacant/hypotenuse

tan θ = opposite/adjacent

Then,

sin A = 6/15 = 2/5

cos A = 9/15 = 3/5

tan A = 6/9 = 2/3

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The expected total dollar net operating Income for next year = $70,000

1) The contribution format income statement for the game last year, and the degree of operating leverage is computed below:

Contribution format income statement for the game last year Sales (15,000 × $20) = $300,000

Variable expenses (15,000 × $6) = $90,000

Contribution margin = $210,000

Fixed expenses = $182,000Net operating income = $28,000

Degree of operating leverage = Contribution margin / Net operating income= $210,000 / $28,000= 7.5 2)

The expected percentage increase in net operating income for next year:

The expected sales in next year = 18,000

games selling price per game = $20

Therefore, Total sales revenue = 18,000 × $20 = $360,000

Variable expenses = 18,000 × $6 = $108,000

Fixed expenses = $182,000

Expected net operating income = Total sales revenue – Variable expenses – Fixed expenses

= $360,000 – $108,000 – $182,000= $70,000

The expected percentage increase in net operating income = (Expected net operating income - Last year's net operating income) / Last year's net operating income*100= ($70,000 - $28,000) / $28,000*100= 150%

The expected total dollar net operating income for next year = $70,000

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Answer: If the lady sells each brouse for 1500 KSH and makes a profit of 150 KSH for each brouse, then the cost price of the brouse is 1500 KSH - 150 KSH = 1350 KSH.

So, the lady pays 1350 KSH for each brouse.

Step-by-step explanation:

Answer:

b. 5 meters

Step-by-step explanation:

1 meter = 1000 millimeters

5 meter = 5000 millimeters

Which is longer 5 meters or 400 millimeters?

5000 > 400

So, the answer is b. 5 meters.

In this triangle, the product of sin B and tan C is\(b^2/(ac)\)  , and the product of sin C and tan B is \(c^2/(ab)\).

In a right-angled triangle ABC, where angle A is 90 degrees, we have the following side lengths:

AB = c (base)

BC = a (hypotenuse)

AC = b (perpendicular)

We need to calculate the products of sin B and tan C, and sin C and tan B.

First, let's calculate sin B and tan C:

sin(B) = opposite/hypotenuse = AC/BC = b/a

tan(C) = opposite/adjacent = AC/AB = b/c

The product of sin B and tan C is sin(B) * tan(C) = (b/a) * (b/c) = \(b^2\)/(ac).

Next, let's calculate sin C and tan B:

sin(C) = opposite/hypotenuse = AB/BC = c/a

tan(B) = opposite/adjacent = AB/AC = c/b

The product of sin C and tan B is sin(C) * tan(B) = (c/a) * (c/b) = \(c^2\)/(ab).

Therefore, in the given right-angled triangle ABC, the product of sin B and tan C is\(b^2\)/(ac), and the product of sin C and tan B is \(c^2\)/(ab).

These formulas hold true for any right-angled triangle, where the base is AB, the hypotenuse is BC, and the perpendicular is AC.

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The question probable may be:

In this triangle, the product of sin B and tan C is _____ , and the product of sin C and tan B is _______.

Answer:

To find the fraction of the total audience that were students or teachers, you need to add the fractions of students and teachers and simplify the result.

5/12 + 1/8 = (53) / (123) + (16) / (86) = 15/36 + 6/48 = 15/36 + 3/24 = 18/36 + 3/24 = (18+3) / (36+24) = 21/60

So 21/60 of the total audience were students or teachers.

Answer:Mean =13, Median=9, Mode =7, Range=43 Step-by-step explanation:[t.

Step-by-step explanation:

Therefore, the least common denominator of the two fractions is. \(3(x+4)^2\)

LCD stands for Liquid Crystal Display. It is a type of display technology used in devices such as televisions, computer monitors, smartphones, and digital watches. The LCD display consists of a layer of liquid crystal material sandwiched between two transparent electrodes. The liquid crystal material is responsible for the light modulation which produces the display.

When an electric current is applied to the electrodes, the liquid crystal material changes its optical properties, which allows light to pass through or be blocked. This modulation of light produces the images that we see on LCD screens. LCD displays are known for their high resolution, sharp images, and low power consumption, which make them a popular choice for a variety of electronic devices.

To find the least common denominator (LCD) of the two fractions, we need to factor the denominators of each fraction.

The first denominator x+4 factors as x+4.

The second denominator 3x+12 can be simplified by factoring out the greatest common factor of 3, which is\(3(x+4). So 3x+12 = 3(x+4)\).

Now we have the two denominators in factored form, and the LCD is the product of the factors with the highest power of each factor used.

Thus, the LCD is:

\(LCD = 3(x+4) * (x+4) = 3(x+4)^2\)

To convert the first fraction to an equivalent fraction with the same denominator, we need to multiply both the numerator and denominator by 3:

\(9x/x+4 = 9x/x+4 * 3/3 = (27x)/(3x+12)\)

To convert the second fraction to an equivalent fraction with the same denominator, we need to multiply both the numerator and denominator by (x+4):

\(17/3x+12 = 17/3x+12 * (x+4)/(x+4) = (17(x+4))/(3(x+4)^2)\)

Now both fractions have the same denominator, which is \(3(x+4)^2\).

So, the equivalent fractions are:

\((27x)/(3x+12) = (27x * (x+4))/(3(x+4)(x+4)) = (27x(x+4))/(3(x+4)^2)\)

\((17(x+4))/(3(x+4)^2)\)

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Procedures that help organize or describe data collected from a sample or a population are called Descriptive statistics.

Hence, option D is correct answer.

Data can be meaningfully and effectively described or summarised using descriptive statistics. For instance, knowing that everyone in our scenario wore blue shoes wouldn't be helpful. It would be helpful to know how evenly distributed their anxiety scores were. Measures of central tendency and measurements of variability make up descriptive statistics (spread).

The mean, median, and mode are measurements of central tendency, while the standard deviation, variance, minimum and maximum variables, kurtosis, and skewness are measures of variability.

In order to emphasise potential correlations between variables and to give basic information about the variables in a dataset, descriptive statistics can be helpful for both of these aims. The three most used descriptive statistics, which represent the following three variables: graphical/illustrative techniques.

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Answer:

yoyo

Step-by-step explanation:

The the length of LJ is approximately 3.5.OptionD) is correct.

To find the length of LJ, we can use the Law of Sines, which states that the ratio of the length of a side of a triangle to the sine of the angle opposite that side is the same for all sides of the triangle.

Let's denote the length of JL as x. Then, we can set up the following proportion:

sin(23°) / LJ = sin(89°) / KL

where KL is given as 9.

We can simplify this proportion by using the fact that sin(89°) = cos(1°) (since the sine of the complement of an angle is equal to the cosine of the angle), and by using a calculator to find the values of sin(23°) and cos(1°):

0.3919 / LJ = 0.0175 / 9

Multiplying both sides by x and then dividing both sides by 0.0175, we get:

LJ = 0.3919*9/ 0.0175

x ≈ 3.5

Therefore, the length of LJ is approximately 3.5.OptionD) is correct.

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Answer:

b= -49

Step-by-step explanation:

Well first isolate the number with the variable by performing inverse operations

1/7b= -7

now multiply by 7 on each side to isolate the variable.

b= -49

B is negative 49

Answer:

f(x) = x³ - 4x + 6

f'(x) = 3x² - 4

a) f'(2) = 3(2²) - 4 = 12 - 4 = 8

6 = 8(2) + b

6 = 16 + b

b = -10

y = 8x - 10

b) 3x² - 4 = 0

3x² = 4, so x = ±2/√3 = ±(2/3)√3

= ±1.1547

f(-(2/3)√3) = 9.0792

f((2/3)√3) = 2.9208

c) 3x² - 4 = 8

3x² = 12

x² = 4, so x = ±2

f(-2) = (-2)³ - 4(-2) + 6 = -8 + 8 + 6 = 6

6 = -2(8) + b

6 = -16 + b

b = 22

y = 8x + 22

f(2) = 6

y = 8x - 10

The equation perpendicular to the tangent is y = -1/8x + 25/4

-The smallest slope on the curve is 2.92

The curve has the smallest slope at the point (1.15, 2.92)

The equations at tangent points are y = 8x + 16 and  y = 8x - 16

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

y = x³ - 4x + 6

Differentiate

So, we have

f'(x) = 3x² - 4

The point is (2, 6)

So, we have

f'(2) = 3(2)² - 4

f'(2) = 8

The slope of the perpendicular line is

Slope = -1/8

So, we have

y = -1/8(x - 2) + 6

y = -1/8x + 25/4

We have

f'(x) = 3x² - 4

Set to 0

3x² - 4 = 0

Solve for x

x = √[4/3]

x = 1.15

So, we have

Smallest slope = (√[4/3])³ - 4(√[4/3]) + 6

Smallest slope = 2.92

So, the smallest slope is 2.92 at (1.15, 2.92)

Here, we set f'(x) to 8

3x² - 4 = 8

Solve for x

x = ±2

Calculate y at x = ±2

y = (-2)³ - 4(-2) + 6 = 6: (-2, 0)

y = (2)³ - 4(2) + 6 = 6: (2, 0)

The equations at these points are

y = 8x + 16

y = 8x - 16

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We can be 99% confident that the true mean healing rate of newts falls within the interval of 22.919 to 30.415 micrometers per hour.

Sample Mean: = (29 + 27 + 34 + 40 + 22 + 28 + 14 + 35 + 26 + 35 + 12 + 30 + 23 + 18 + 11 + 22 + 23 + 33) / 18

= 480 / 18

≈ 26.667

Sample Standard Deviation (s):

= ✓((Σ(29 - 26.667)² + (27 - 26.667)² + ... + (33 - 26.667)²) / (18 - 1))

≈ ✓(319.778 / 17)

≈ ✓(18.81)

≈ 4.336

Confidence level = 99%

Sample Size (n) = 18

Sample Mean = 26.667

Sample Standard Deviation (s) = 4.336

Degrees of Freedom (df) = n - 1 = 18 - 1 = 17

Using a t-table or statistical software, we find that the critical value for a 99% confidence level with 17 degrees of freedom is approximately 2.898.

Margin of Error (E) = 2.898 * (4.336 / ✓18))

≈ 3.748

Confidence Interval = (26.667 - 3.748, 26.667 + 3.748)

= (22.919, 30.415)

We can be 99% confident that the true mean healing rate of newts falls within the interval of 22.919 to 30.415 micrometers per hour. This means that if we were to repeat the study multiple times and construct confidence intervals, approximately 99% of those intervals would contain the true mean healing rate of the population.

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The total weight of the liquid in the tank is approximately 12,628 pounds.

To calculate the weight of the liquid, we need to determine the volume of the hemisphere and then multiply it by the density of the liquid. The formula for the volume of a hemisphere is V = (2/3)πr³, where r is the radius of the hemisphere.

In this case, the diameter of the tank is given as 24 feet, so the radius is half of that, which is 12 feet. Plugging this value into the formula, we get V = (2/3)π(12)³ ≈ 904.78 cubic feet.

Finally, we multiply the volume by the density of the liquid: 904.78 cubic feet * 92.5 pounds per cubic foot ≈ 12,628 pounds. Therefore, the total weight of the liquid in the tank is approximately 12,628 pounds.

In summary, to calculate the weight of the liquid in the tank, we first determine the volume of the hemisphere using the formula V = (2/3)πr³. Then, we multiply the volume by the density of the liquid.

By substituting the given diameter of 24 feet and using the appropriate conversions, we find that the total weight of the liquid is approximately 12,628 pounds.

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(c) The argument is valid, and we can conclude that Penelope missed class because she got a detention.

(e) The argument is valid, and we can conclude that Penelope did not miss class because she got an A and did not get a detention.

(c) To prove this argument's validity, we need to define the predicates and express the hypotheses and conclusion using them:

Let "M(x)" be the predicate "x missed class", and "D(x)" be the predicate "x got a detention".

Hypotheses: M(Penelope), D(Penelope)

Conclusion: M(Penelope)

Using modus ponens, which states that if P implies Q and P is true, then Q must be true, we can conclude that M(Penelope) is true:

From M(Penelope) and "Every student who missed class got a detention", we have D(Penelope)

From D(Penelope), we have M(Penelope)

So, the argument is valid, and we can conclude that Penelope missed class because she got a detention.

(e) To prove this argument's validity, we need to define the predicates and express the hypotheses and conclusion using them:

Let "M(x)" be the predicate "x missed class", "D(x)" be the predicate "x got a detention", and "A(x)" be the predicate "x got an A".

Hypotheses: A(Penelope), ~D(Penelope)

Conclusion: ~M(Penelope)

Using modus tollens, which states that if P implies Q and Q is false, then P must be false,

we can conclude that M(Penelope) is false:

From A(Penelope) and "Every student who missed class or got a detention did not get an A",

we have ~M(Penelope) & ~D(Penelope)

From ~D(Penelope), we have ~M(Penelope)

So, the argument is valid, and we can conclude that Penelope did not miss class because she got an A and did not get a detention.

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Answer:

x = 26

Step-by-step explanation:

the 3 angles lie on the straight line DAC and sum to 180° , that is

4x - 8 + 34 + 76 - x = 180

3x + 102 = 180 ( subtract 102 from both sides )

3x = 78 ( divide both sides by 3 )

x = 26