Use point-slope form to write the equation of a line that passes through the point (-1, 10) with slope 11/9

Answer: The correct is 114

Step-by-step explanation: Hope this helps

The value after converting the length 178 cm  to inches , is 178 cm is equivalent to 70 inches .

The Centimeters (cm) and inches are both the units of measurement that  are used to measure length .

They both belong to different systems of measurement. Centimeters are used in the International System of Units (SI), whereas  inches are used in the Imperial and US Customary systems.

We know that 1 centimeter is = 0.3937 inches .

that means that conversion factor is 0.3937 ,

So , we can write ; 178 cm = 178 × 0.3937 inches ;

⇒ 178 cm = 70.0786 inches ≈ 70 inches .

Therefore , 178 cm is approximately equal to 70 inches .

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Answer: y-intercept of the function is (0,-2).

Answer:

A

Step-by-step explanation:

The answer is 3.07 (rounded to two decimal places).

We have been given the position of a bug, and we are asked to find the rate of change of temperature at this point (2, 3). We will first calculate the rate of change of temperature in terms of x and y and then evaluate it at the point (2, 3).We are given the temperature function as T(x, y), and the bug's path as follows:x=sqrt(1+t)y=2+1/3tWe know that the temperature function satisfies the following: T_x(2, 3) = 7, and T_y(2, 3) = 4.

To find the rate of change of temperature on the bug's path, we will use the chain rule of differentiation. We have to find dT/dt. Using the chain rule, we can express the derivative of temperature with respect to time as follows: dT/dt = dT/dx * dx/dt + dT/dy * dy/dt Since x = sqrt(1 + t), we can differentiate x with respect to t as follows: dx/dt = (d/dt)(sqrt(1+t))=1/2*(1+t)^(-1/2).

Similarly, we can differentiate y with respect to t as follows:dy/dt = (d/dt)(2 + 1/3t)=1/3Since we are given Tx(2, 3) = 7 and Ty(2, 3) = 4, we can plug in these values to find the rate of change of temperature along the bug's path. Hence, we get:dT/dt = T_x(2, 3) * dx/dt + T_y(2, 3) * dy/dt=7*1/2*(1+3)^(-1/2) + 4*1/3=3.07Hence, the rate of change of temperature along the bug's path after 3 seconds is 3.07 degrees Celsius per second.

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The expected value of m is the mean of the distribution of sample means. The correct option for the question is c) it is the mean of the distribution of sample means.

The expected value, also known as the mean or expectation, is a measure of the central tendency of a random variable. In other words, it refers to the theoretical mean of the distribution of a random variable. It is obtained by multiplying each possible outcome of a random variable by its probability of occurrence and then summing up all the products. The result is the expected value.

A sample mean is the arithmetic mean of a random sample of n observations drawn from a population. It is an unbiased estimate of the population mean. It is calculated by adding up all the observations in the sample and then dividing the sum by the sample size.

Sample standard deviation, also known as s, is a measure of the variability or dispersion of a random sample. It is the square root of the variance of the sample. It is calculated by taking the square root of the sum of the squared deviations from the sample mean divided by the sample size minus 1.

Therefore, option a) and option b) are incorrect as the expected value of m is not the sample mean or sample standard deviation. Option d) is also incorrect as the expected value of m is not the standard deviation of the distribution of sample means.

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The total number of views the video got over the course of the first 17 days is approximately 17,536.

To solve this problem, we can use the formula for the sum of a geometric sequence, which is given by:

Sn = a(1 - r^n) / (1 - r)

where

Sn is the sum of the first n terms

a is the first term

r is the common ratio between the terms

In this case, a = 800 (the first day's views), r = 1.05 (the 5% increase in views per day), and n = 17 (the number of days).

Substituting these values into the formula, we get:

Sn = 800(1 - 1.05^17) / (1 - 1.05) ≈ 17,536

Therefore, the video got approximately 17,536 views over the course of the first 17 days.

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Answer:

18

Step-by-step explanation:

We know that for every 4 green marbles, there are 3 blue marbles.
so if there are 8 green marbles, there are 6 blue marbles.
This continues on until we get 24 blue marbles.

Expression : Taking Green Marbles as 'x' and Blue Marbles as 'y'

4x = 3y

so if there are 24 Blue marbles , this means:

4x = 3 x 24

4x = 72

x = 72/4 = 18 Marbles are green

The area under the standard normal curve between z = 0.5 and z = 1.4, denoted as P(0.5 < z < 1.4), can be found using the cumulative distribution function (CDF) of the standard normal distribution. The correct answer for this probability is option iii. 0.9192.

To calculate P(0.5 < z < 1.4), we need to find the probability of z being less than 1.4 (P(z < 1.4)) and subtract the probability of z being less than 0.5 (P(z < 0.5)) from it. By using a standard normal distribution table or a statistical software, we can find that P(z < 1.4) is approximately 0.9192 and P(z < 0.5) is approximately 0.3085. Therefore, P(0.5 < z < 1.4) is approximately 0.9192 - 0.3085 = 0.6107.

In summary, the correct answer for P(0.5 < z < 1.4) is option iii. 0.9192. This probability represents the area under the standard normal curve between z = 0.5 and z = 1.4. It can be calculated by subtracting the cumulative probability of z < 0.5 from the cumulative probability of z < 1.4.

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Answer:

Ans: Rs 181.44.

Step-by-step explanation:

Answer:

It should be the first one

Step-by-step explanation:

3x2=6

3x3=9

You will be able to withdraw approximately $3,076.32 at the end of 5 years.

To calculate the amount you will be able to withdraw at the end of 5 years, we can use the future value formula for compound interest.

The formula for calculating the future value (FV) of a present value (PV) invested at an annual interest rate (r) for a certain number of years (t) is:

\(FV = PV * (1 + r)^t\)

Given:

PV = $2,300

r = 6% = 0.06 (decimal representation)

t = 5 years

Substituting these values into the formula, we get:

FV = $2,300 * \((1 + 0.06)^5\)

Calculating the expression inside the parentheses:

\((1 + 0.06)^5 = 1.338225\)

Multiplying the present value by this factor:

FV = $2,300 * 1.338225

FV ≈ $3,076.32

Therefore, you will be able to withdraw approximately $3,076.32 at the end of 5 years.

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You deposit $2,300 into an account that pays 6% per year. Your plan is to withdraw this amount at the end of 5 years to use for a down payment on a new car. How much will you be able to withdraw at the end of 5 years? Do not round intermediate calculations. Round your answer to the nearest cent

To determine the optimal order quantity for Click Pix from Sonic to minimize total cost under the discount schedule, consider the annual ordering cost, holding cost, and purchasing cost for different order.

To minimize total cost, we need to find the order quantity at which the sum of the ordering cost, holding cost, and purchasing cost is minimized. Given: Cost of placing an order: $50. Holding rate: 60% per year.  Discount schedule: No discount for an order of 124 or less camcorders. $25 discount per unit for an order between 125 and 599 units. $60 discount per unit for an order of 600 or more units. Let's calculate the total cost for different order quantities and find the optimal order quantity: Order Quantity: 124 (no discount). Order Cost = 124 * $400 = $49,600. Ordering Cost = $50. Holding Cost = 124 * $400 * (60% * $400) = $11,904. Total Cost = Order Cost + Ordering Cost + Holding Cost. Order Quantity: 125 (discounted). Order Cost = 125 * ($400 - $25) = $47,500

Ordering Cost = $50. Holding Cost = 125 * ($400 - $25) * (60% * $400) = $11,375. Total Cost = Order Cost + Ordering Cost + Holding Cost. Order Quantity: 600 (discounted). Order Cost = 600 * ($400 - $60) = $204,000

Ordering Cost = $50. Holding Cost = 600 * ($400 - $60) * (60% * $400) = $49,200. Total Cost = Order Cost + Ordering Cost + Holding Cost. By comparing the total costs for different order quantities, we can see that the optimal order quantity is 125, which results in the lowest total cost. To calculate the annual total cost (TC) for the optimal order quantity of 125: Order Cost = 125 * ($400 - $25) = $47,500.  Ordering Cost = $50.  Holding Cost = 125 * ($400 - $25) * (60% * $400) = $11,375. Annual TC = Order Cost + Ordering Cost + Holding Cost.

If Click Pix can only store 100 camcorders due to limited space, they should order 125 camcorders (rounded up) because they have a discount for orders starting from 125 units. So, the correct answer is (a) 125.

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The missing number would be 100.

e.g 400/2= 200

200/2= 100

100/2 = 50

50/2 = 25

Answer:

37.5%

Step-by-step explanation:

Based on the given conditions, formulate: 30/80

Reduce the fraction: 3/8

Rewrite a fraction as a decimal: 0.375

Multiply a number to both the numerator and the denominator:

0.375 * 100/100

Write as a single fraction:

0.375 * 100 / 100

Calculate the product or quotient:

37.5/100

Rewrite a fraction with denominator equals 100 to a percentage:

37.5%

Answer:

37.5%

Answer: this looks too hard for a 1 grader

Step-by-step explanation:

Answer:

5(−2)−3 y = 5 (- 2) - 3

Step-by-step explanation:

y = 5x − 3 y = 5 x - 3 Substitute −2 - 2 for x x and find the result for y y. y = 5(−2)−3 y = 5 (- 2) - 3

The probability that a tire will last longer than 42,000 miles is 0.0432. The probability that a single battery randomly selected from the population will have a life between 60 and 70 hours is 0.242.

The probability that a tire will last longer than 42,000 miles can be calculated using the normal distribution. The normal distribution is a bell-shaped curve that is symmetrical around the mean. The standard deviation of the normal distribution is a measure of how spread out the data is.

In this case, the mean of the normal distribution is 36,000 miles and the standard deviation is 3,500 miles. This means that 68% of the tires will have a life between 32,500 and 39,500 miles. The remaining 32% of the tires will have a life that is either shorter or longer than this range.

The probability that a tire will last longer than 42,000 miles is the area under the normal curve to the right of 42,000 miles. This area can be calculated using a statistical calculator or software, and it is equal to 0.0432.

The probability that a single battery randomly selected from the population will have a life between 60 and 70 hours can also be calculated using the normal distribution. In this case, the mean of the normal distribution is 75 hours and the standard deviation is 10 hours.

This means that 68% of the batteries will have a life between 65 and 85 hours. The remaining 32% of the batteries will have a life that is either shorter or longer than this range.

The probability that a battery will have a life between 60 and 70 hours is the area under the normal curve between 60 and 70 hours. This area can be calculated using a statistical calculator or software, and it is equal to 0.242.

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Answer:

are know :D Hello, what are you doing

the standard form is

y=√−x^2+6x−13y

=−√−x^2+6x−13

However we cannot determine the center or radius because there is no conic section

Answer:

15% left

Step-by-step explanation:

He had 300 to start with and spent 60% ($180) and then spent 25% ($75) so he has 15% left or $45

Answer:

it's AAS is my opinion

Step-by-step explanation:

Answer:

AAS

Step-by-step explanation:

we can eliminate two of the answer choices from the start. AA and SSA do not prove triangle congruence. we are then left with SAS and AAS. we can see that there is one pair of sides and one pair of angles marked congruent on the triangles. the triangles are formed by intersecting lines which form vertical angles. according to the vertical angles theorem, those two angles will be congruent. therefore, these triangles are proven congruent by AAS. hope this helps!

The required probability of rolling a 2 exactly 4 times in 7 rolls of a six-sided die is \(\frac{161}{5000}\) in fraction form or approximately 0.03226 as a decimal.

A number that indicates how likely an event is to occur is called its probability. It is expressed as a number between 0 and 1 or as a percentage using percentage notation between 0% and 100%. The higher the probability, the more likely the event is to occur.

\($\begin{aligned} P(X = 4) &= \binom{7}{4} \left(\frac{1}{6}\right)^4 \left(\frac{5}{6}\right)^3 \\&= \frac{7!}{4!3!} \cdot \frac{1}{6^4} \cdot \frac{5^3}{6^3} \\&= \frac{35 \cdot 125}{6^7} \\&= \frac{4375}{135216} \\&\approx 0.03226\end{aligned}\)

Therefore, the probability of rolling a 2 exactly 4 times in 7 rolls of a six-sided die is \(\frac{161}{5000}\) in fraction form or approximately 0.03226 as a decimal.

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Answer:

△JKL is not congruent to △J′K′L′ because there is no sequence of rigid motions that maps △JKL to △J′K′L′.

Step-by-step explanation:

If L' were (-3,-4), it would be a reflection of L across the x-axis as J' and K' are with respect to J and K. Unfortunately, because it is not, the side lengths J'L' and K'L' of triangle J'K'L' are different from those of triangle JKL. This ensures the triangles JKL and J'K'L' are not congruent.

- Jackson

Answer:x=3

Step-by-step explanation:Multiply both sides of equation by four. Subtract 56 from the left and move to the right. Calculate 80-56. Divide by 8 on both sides x=3

An algebraic expression which models the given context would be written as s + 0.02s = 1.05s.

Price can be define as an amount of money which is primarily set by the seller of a good (product), and it must be paid by a buyer to the seller, so as to enable the acquisition of this good (product).

An algebraic expression can be defined as a mathematical equation which is used to show the relationship existing between two or more variables and numerical quantities.

Let s represent the price of a pair of shoes.

Therefore, an algebraic expression which models the given context would be written as follows:

s + 0.02s = 1.05s.

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Answer:

For point P to be the centroid of triangle JKL, the following must be true:

- P must be the intersection point of the three medians of the triangle, which are the line segments connecting each vertex to the midpoint of the opposite side.

- Each median must pass through P, dividing the median into two equal parts.

- The centroid is the center of mass of the triangle, so the three medians must intersect at a point that divides each median into two parts in the ratio of 2:1.

Option 3 satisfies all these conditions. If LN is a perpendicular bisector of JK, then it passes through the midpoint of JK, dividing it into two equal parts. Similarly, JO is a perpendicular bisector of LK and MK is a perpendicular bisector of JL, so they each pass through the midpoint of the opposite side, dividing it into two equal parts. Therefore, all three medians pass through P and divide each median into two parts in the ratio of 2:1, making P the centroid of triangle JKL.

Answer: C

JM = ML, LO = OK, and KN = NJ.

Step-by-step explanation:

I just finished the review, Good luck y'all.

Answer:

x = 6

Step-by-step explanation:

(4x + 29) + (12x + 55) = 180

16x +84 = 180

16x = 96

x = 6

∠4x + 29° and angle ∠12x + 55° are interior angles on the same side of transversal . Which means their sum will be equal to 180° .

We can write this in an equation and solve it as :-

\(\mapsto4x + 29 + 12x + 55 = 180\)

\(\mapsto \:16x + 29 + 55 = 180\)

\(\mapsto16x + 84 = 180\)

\(\mapsto16x = 180 - 84\)

\(\mapsto16x = 96\)

\(\mapsto \: x = \frac{96}{16} \)

\(\mapsto\color{darkorange} \: x = 6\)

Let us check whether or not we have found out the correct value of x , by placing 6 in the place of x .

So :-

∠4x + 29° :-

\( = 4 \times 6 + 29\)

\( = 24 + 29\)

\( \color{red}= 53°\)

∠12x + 55° :-

\( = 12 \times 6 + 55\)

\( = 72 + 55\)

\(\color{teal} = 127°\)

As , 53° + 127° = 180° , we can conclude that we have found out the correct value of x .

Therefore , the value of :-

\(\color{green}x = 6\)