Question 14
Which of the following could be the sides of a right triangle? Select two that apply.
A
B
C
D
10, 24, 26
6, 12, 18
4, 5,9
18, 24, 30

The system of equations from the graph are y= -1/3 x+6 and y= 4x-4.

A system of linear equations consists of two or more equations made up of two or more variables such that all equations in the system are considered simultaneously. The solution to a system of linear equations in two variables is any ordered pair that satisfies each equation independently.

Equation of green line:

Points on the green line are (-3, 5) and (3, 3)

Here, slope (m)= (3-5)/(3+3)

= -2/6

m= -1/3

Substitute, m= -1/3 and (x, y)=(-3, 5) in y=mx+c, we get

5= -1/3 (3)+c

c=6

Substitute, m= -1/3 and c=6 in y=mx+c, we get

y= -1/3 x+6

Equation of blue line:

Points on the blue line are (1, 0) and (0, -4)

Slope (m)= (-4-0)(0-1)

m= 4

Substitute, m= 4 and (x, y)=(1, 0) in y=mx+c, we get

0=4(1)+c

c= -4

Substitute, m= 4 and c= -4 in y=mx+c, we get

y= 4x-4

Therefore, the system of equations from the graph are y= -1/3 x+6 and y= 4x-4.

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Answer:

rate as brainliest it will really go along way

Answer:

A.

Step-by-step explanation:

Not reasonable, Why did you put that as your answer?

The whole numbers add up to more then 4 cups.

The balloon artist will charge Mrs. Abara $55 as an additional supply fee since there are more than 10 children at the party, and the party duration is irrelevant to the fee calculation.

1. Given that there will be 16 children at the party, which is more than 10, the balloon artist will charge an additional supply fee.

2. The additional supply fee is $55, as stated in the question.

3. The duration of the party, which is 4.5 hours, is not mentioned as a factor affecting the fee calculation.

4. Therefore, regardless of the party's duration, the balloon artist will charge Mrs. Abara $55 as the additional supply fee due to the number of children exceeding 10.

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To approximate the integral ∫2.4 to 2 f(x) dx using Simpson's rule, we divide the interval [2, 2.4] into subintervals and approximate the integral within each subinterval using quadratic polynomials.

Given the data points (x, f(x)) = (2, 0.6931), (2.2, 0.7885), and (2.4, 0.8755), we can use Simpson's rule to approximate the integral.

Step 1: Determine the step size, h.

Since we have three data points, we can divide the interval [2, 2.4] into two subintervals, giving us a step size of h = (2.4 - 2) / 2 = 0.2.

Step 2: Calculate the approximations within each subinterval.

Using Simpson's rule, the integral within each subinterval is given by:

∫f(x)dx ≈ (h/3) * [f(x₀) + 4f(x₁) + f(x₂)]

where x₀, x₁, and x₂ are the data points within each subinterval.

For the first subinterval [2, 2.2]:

∫f(x)dx ≈ (0.2/3) * [f(2) + 4f(2.1) + f(2.2)]

≈ (0.2/3) * [0.6931 + 4(0.7885) + 0.8755]

For the second subinterval [2.2, 2.4]:

∫f(x)dx ≈ (0.2/3) * [f(2.2) + 4f(2.3) + f(2.4)]

≈ (0.2/3) * [0.7885 + 4(0.4545) + 0.8755]

Step 3: Sum up the approximations.

To obtain the approximation of the total integral, we sum up the approximations within each subinterval.

Approximation ≈ (∫f(x)dx in subinterval 1) + (∫f(x)dx in subinterval 2)

Calculating the values, we get the final approximation of the integral ∫2.4 to 2 f(x) dx using Simpson's rule.

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Answer:a

Step-by-step explanation:

Choice 4: P(7∩Q) = P(7) × P(Q)

Explanation in detail:

P(7∩Q) denotes the chance of selecting the secret code "7Q."

If A and B are distinct events, then

P(A∩B) = P(A) × P(B)

Let A be the occurrence of selecting a number between 0 and 9 and

Let B be the occurrence of selecting an alphabet.

A and B are clearly distinct entities.

Therefore,

P(7∩Q) = P(7) × P(Q)

Hope this helps!

Answer:

$ 30

$ 20

Step-by-step explanation:

Sea el costo fijo xy el costo por km sea y suponiendo que es el mismo para ambos taxis.

De la pregunta obtenemos las dos ecuaciones

\(x+8y=190\quad ...(i)\)

\(x+5y=130\quad ...(ii)\)

Aplicando \((i)-(ii)\)

\(8y-5y=190-130\\\Rightarrow 3y=60\\\Rightarrow y=\dfrac{60}{3}\\\Rightarrow y=20\)

Sustituyendo en \((ii)\)

\(x+5y=130\\\Rightarrow x+5\times 20=130\\\Rightarrow x=130-100\\\Rightarrow x=30\)

Entonces, el costo fijo es de $ 30 y el costo por km es de $ 20.

The solution to the equation is x = 105/14 and y = -27/2

Simultaneous equations are two or more algebraic equations with the same unknown variables and the same value of the variables satisfies all such equations. This implies that the simultaneous equations have a common solution.

We use different methods to solve simultaneous equations. Some of the common methods are:

By substitution method

-7x + -5y = 15 ----- 1

7x + 3y = 12 ----- 2

from equation 1

7x = -15 -5y ----- 3

substitute 7x in equation 2

-15 - 5y + 3y = 12

-2y = 12 + 15

-2y = 27

y = -27/2

To find x, substitute y in equation 3

7x = -15 - 5(-27/2)

7x = -15 + 135/2

Multiplying both sides by 2

14x = -30 + 135

14x = 105

x = 105/14

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Answer:

5i\(\sqrt{2}\)

Step-by-step explanation:

The square root \(\sqrt{-50}\) can be written as \(\sqrt{-1}\) * \(\sqrt{25}\) * \(\sqrt{2}\)

This can then be simplified into i*5*\(\sqrt{2}\) meaning the answer is 5i\(\sqrt{2}\)

Answer: √-50 √(10x-5=-50) √10x√-5=   -5√-5

Step-by-step explanation:

Answer:

212 ft

Step-by-step explanation:

\(455+2Q=879 \\ \\ 2Q=424 \\ \\ Q=212\)

Answer:

He will get 16 bottles if he buys 2 packs and he will need 4 more to get 20.

Step-by-step explanation:

He buys 2 packs of 8 2x8=16 if he wants all 20 he will need to get 3 packs 3x8=24. 20-16=4 he will need 2.5 packs to get the amount he wants. 2.5x8=20

The particle has a frequency of 0.032 hertz.

The particle experiments a sinusoidal motion, whose mathematical model is described below:

\(x = x_{o} + A\cdot \cos (\omega\cdot t + \phi)\) (1)

Where:

The frequency (\(f\)), in hertz is defined by this formula:

\(f = \frac{\omega}{2\pi}\) (2)

By direct observation on the formula described in statement we find that \(\omega = 0.2\,\frac{rad}{s}\), then we find the frequency of the particle by (2):

\(f \approx 0.032\,hz\)

The particle has a frequency of 0.032 hertz.

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For theoretical probability of each letter is 0.2, the experimental probability of drawing a card with the letter for which the experimental probability is closest to the theoretical probability is equals the 0.5.

Theoretical Probability: The theoretical probability of an event is the probability of a particular event based on mathematical calculations, assuming ideal conditions. The theoretical probabilities do not take into account the flaws of the system.

Experimental probability: The experimental probability of an event is the actual probability of an event occurring based on the results of facts rather than mathematical calculations

The theoretical probability of each letter = 0.2 = 2/10

We have to determine the experimental probability of drawing a card with the letter for which the experimental probability is near to the theoretical probability. Now, total possible outcomes = 10 and each letter comes two times

so, the experimental probability = 10/20

= 0.5

Hence, required value is 0.5.

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The p-value that would be given as the evidence would be given as p-value = 0.00002 and also P value = 0.00003

The sample size of the first sample = 100

x1 = success 0f 86%

We have to find the proportion of this = 0.86

The sample size of the second sample n2 = 100

x12 = success 0f 60%

We have to find the proportion of this = 60/100

= 0.6

The difference = 0.86-0.6= 0.26

Next we have to find the pooled proportion. This is taken given as p = (x1+x2)/(n1+n2) this gives us 0.73

Next we have to find the standard error

= √(p*(1-p)*(1/n1+ 1/n2)= 0.06279

Z stat = (0.26-0)/0.0628= 4.1411

From here the p value would have to be

p-value = 0.00002 and also

P value = 0.00003

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There are four whole numbers or integers between 5/2 and 20/3.

To determine the number of whole numbers between 5/2 and 20/3, we need to understand what whole numbers are.

Whole numbers are non-negative numbers that do not have fractional or decimal parts. They include the numbers 0, 1, 2, 3, and so on.

In the given interval, 5/2 is equal to 2.5 and 20/3 is approximately equal to 6.67.

We are looking for whole numbers within this range.

The whole numbers between 5/2 and 20/3 are 3, 4, 5, and 6.

Hence, there are 4 whole numbers.

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ФФФФФФФФФ↑↑→≅≅≅≅≅≅≅≅≅≅НЧШДЦ

a) The z-score for a shoe size of 7.5 is approximately -0.4.

b) The shoe size corresponding to a z-score of 1.3 is approximately 9.625.

c) The z-score for a shoe size of 9 is approximately 0.8.

d) The shoe size corresponding to a z-score of -1.5 is approximately 6.125.

e) To find the shoe size representing the 80th percentile, we need to determine the corresponding z-score using a z-score table or calculator and then use the formula x = (z * standard deviation) + mean.

a) To calculate the z-score, we use the formula: z = (x - mean) / standard deviation. For a shoe size of 7.5, the z-score would be: z = (7.5 - 8) / 1.25 = -0.5 / 1.25 = -0.4.

b) To find the shoe size with a z-score of 1.3, we rearrange the formula: x = (z * standard deviation) + mean. Plugging in the values, we get: x = (1.3 * 1.25) + 8 = 1.625 + 8 = 9.625.

c) For a shoe size of 9, the z-score is: z = (9 - 8) / 1.25 = 1 / 1.25 = 0.8. The percentile can be found using a z-score table or calculator.

d) With a z-score of -1.5, we can use the same formula as before: x = (z * standard deviation) + mean. Plugging in the values, we get: x = (-1.5 * 1.25) + 8 = -1.875 + 8 = 6.125. The percentile can be found using a z-score table or calculator.

e) To find the shoe size representing the 80th percentile, we can use the inverse of the z-score formula: x = (z * standard deviation) + mean. The z-score corresponding to the 80th percentile can be found using a z-score table or calculator.

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Answer:

\(5mn^{2} (2+ 5m^{2} n)\)

Step-by-step explanation:

I assumed the polynomial is \(10mn^{2} +25m^{3}n^{2}\)

FIRST: Highlight the common factors{ 5 , m and\(n^{2}\))

\(5mn^{2} (2+ 5m^{2} n)\)

Answer:

Step-by-step explanation:

17/6 or 2 1/2 (D)

Just subtract 3 4/6 by 5/6

hope this helped

the man has #112,500 left as disposable income after paying taxes.

the actual amount paid on the article after the 15% discount is N600.00.

To calculate the disposable income of the man, we first need to determine his taxable income.

Taxable income = Annual income - Tax-free pay

Taxable income = #140,000 - #30,000 = #110,000

Next, we need to calculate the tax he has to pay on his taxable income.

Tax = Tax rate x Taxable income

Note that the tax rate is given in kobo, so we need to convert it to naira.

1 naira = 100 kobo, so 25 kobo = 0.25 naira

Tax = 0.25 x #110,000 = #27,500

Finally, we can calculate the disposable income by subtracting the tax from the annual income.

Disposable income = Annual income - Tax

Disposable income = #140,000 - #27,500 = #112,500

Therefore, the man has #112,500 left as disposable income after paying taxes.

4.If the discount allowed on an article is 15%, it means that the customer will pay only 85% of the original price of the article after the discount is applied.

Let the original price of the article be P.

Then, the amount paid by the customer after the 15% discount is 85% of the original price:

Amount paid = 0.85P

We know that the customer received N600.00.

So, we can set up an equation:

0.85P = N600.00

Solving for P, we get:

P = N600.00 / 0.85

P = N705.88 (rounded to two decimal places)

Therefore, the actual amount paid on the article after the 15% discount is N600.00.

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Answer:

1/2

Step-by-step explanation:

We can use the unit circle and reference angle to find the exact value of sin(-5pi/6).

Starting from the positive x-axis (θ=0), we can rotate clockwise by 5pi/6 radians to get to the terminal side of -5pi/6.

The reference angle is pi/6 radians, which is the angle between the terminal side and the x-axis if we rotate counterclockwise instead.

At this angle, sin is negative and equal to -1/2, since the opposite side has length 1 and the hypotenuse has length 2.

Since sin is an odd function, we have sin(-5pi/6) = -sin(5pi/6) = -(-1/2) = 1/2.

Therefore, the exact value of sin(-5pi/6) is 1/2.

Answer:

8x - 5 = - 12

Step-by-step explanation:

given

8x + 2 = - 5 ( subtract 2 from both sides )

8x = - 7

Then

8x - 5 = - 7 - 5 = - 12

Option a. The graph that would correctly display the data that we have jere would be: a bar graph titled favorite topping with the x-axis labeled topping and the y-axis labeled number of customers, with the first bar labeled sprinkles going to a value of 17, the second bar labeled nuts going to a value of 12, the third bar labeled hot fudge going to a value of 27, and the fourth bar labeled chocolate chips going to a value of 44.

The correct graph to display this type of categorical data is a bar graph. The correct option should show the data with the correct number of customers for each topping as it is listed in the question we have :

Sprinkles: 17

Nuts: 12

Hot Fudge: 27

Chocolate Chips: 44

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The z-score measures how many standard deviations a raw score is away from the B) mean. It allows us to compare different data points on a common scale.

To determine the z-score for a raw score in a particular set of scores, the necessary information is the mean and standard deviation for the set.

The mean is the average of all the scores in the set, while the standard deviation measures how spread out the scores are from the mean. The z-score formula is calculated by subtracting the mean from the raw score and then dividing it by the standard deviation.

This gives us a standardized value that indicates how far above or below the mean the raw score is.

The other options mentioned in the question (highest, lowest, median, number of scores) are not required to calculate the z-score. They may be useful for other types of analysis, but for determining the z-score, only the mean and standard deviation are needed.

Hence B option is correct

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If the population of a pig farm doubles every month and if the initial population is 150, then after 6 months the population will be 9600. We can calculate the solution in the following manner.

Population after 6 months= 150 x 2⁶

=9600 pigs

The term "population" refers to all citizens who are either permanently residing in a country or who are just passing through. This indicator reveals how many people typically reside in a certain area. Growth rates are the population changes that occur each year as a result of births, deaths, and net migration.

A population is the entire set of people in a group, whether that group is a country or a collection of people who share a certain trait. A population is the group of people from which a statistical sample is taken in statistics.

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Answer:

5 times the number

Step-by-step explanation:

Answer:

8 1/3

Step-by-step explanation:

4 1/2 + 3 5/6

First, we must convert the fraction to a common denominator.

1/2 = 3/6

4 3/6 + 3 5/6

3/6 + 5/6 = 8/6 = 1 2/6 = 1 1/3

1 1/3 + 4 + 3 = 8 1/3

The answer is 8 1/3.

Answer: 8 1/3

Step-by-step explanation:

4 1/2 + 3 5/6

So what we do is we make them have the same denominator

1/2 = 3/6

Now... 3/6 + 5/6 = 8/6

8/6 will have to be converted into a mixed number so...

that will be 1 2/6

now we add the two whole numbers 4 and 3 which is 7

7+1=8

8 + 2/6 = 8 2/6

now simplify that and you get 8 1/3

The length of the crease is 15 cm.When a 9 by 12 rectangular piece of paper is folded so that two opposite corners coincide, the length of the crease is 15 cm. When we fold a rectangular paper so that the opposite corners meet, we get a crease that runs through the diagonal of the rectangle.

In this case, the 9 by 12 rectangle's diagonal can be determined using the Pythagorean Theorem which states that the square of the hypotenuse of a right-angled triangle is equal to the sum of the squares of the other two sides. In this case, the two sides are the length and width of the rectangle.

The length of the diagonal of the rectangle can be determined as follows:\(`(9^2 + 12^2)^(1/2)`\) = 15 cm. Therefore, the length of the crease is 15 cm.

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In total 6 weeks, the saved money by both Sadio and Thoma will be in the ratio of 2:1.

For the given question.

Initial money owned by each is-

Sadio = $15

Thoma = $0.

Let the number of weeks passed be 'x'.

Then, present money after x weeks.

Sadio = $3.50x + 15

Thoma = $3x

The number of weeks , when ratio becomes 2:1

(3.50x + 15)/3x = 2/1

3.50x + 15 = 6x

6x - 3.5x = 15

x = 15/2.5

x = 6

Thus, in total 6 weeks, the money held by both Sadio and Thoma will be in the ratio of 2:1.

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The value at x = 1 of the local linearization L(x) of (1+x)^4 at x=0L(0.1) = 1 + 4(0.1) = 1.4.

Finding the equation of the tangent line to the (1+x)4 graph at x=0 is necessary before we can determine the value of the local linearization of (1+x)4 at x=1 at x=1.

The following is the formula for a function's local linearization at x=a:

L(x) = f'(a) Plus f(a) (x-a)

where f'(a) is f(x) derivative's calculated at x=a.

Accordingly, for (1+x)4, we have:

f(x) = (1+x)^4

f'(x) = 4(1+x)^3

a = 0

When we enter these numbers, we obtain:

f(0) = (1+0)^4 = 1

f'(0) = 4(1+0)^3 = 4

The expression for the tangent line to the (1+x)4 graph at x=0 is as follows:

L(x) = 1 + 4x

Simply substituting x=1 into the equation of the tangent line yields the number at x=1:

L(1) = 1 + 4(1) = 5

Therefore, the local linearization of (1+x)4 at x=0 therefore has a value of 5 at x=1.

We can enter x=0.1 into the equation of the tangent line to obtain L(0.1):

L(0.1) = 1 + 4(0.1) = 1.4.

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