Assume d varies directly as t and d = 180 when t = 3. Find t when d = 390.

Donald and Reynold work at the same rate, the it also takes 8 hours for Donald to make 4 baked zitis.

We know that Reynold can make 4 baked zitis in 8 hours, then his rate of work is:

R = (4 zitis)/(8 hours) = 0.5 zitis per hour.

Whit Donald's help they can make 4 zitis in 4 hours, if we define D as Donald's rate we can write:

(R + D)*4 hours = 4 zitis.

Replacing R we get:

(0.5 zitis/hour + D)*4 hours = 4 zitis

(0.5 zitis/hour + D) = (4 zitis)/(4 hours)

(0.5 zitis/hour + D) = 1 ziti/hour

D = 1 ziti/hour - 0.5 zitis/hour = 0.5 zitis/hour

So Donald works at the same rate than Reynold, then it will take 8 hours for Donald to make 4 baked zitis.

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The measure of exterior angle ACD is 132°

The exterior angle theorem states that whenever a triangle's side is extended such that it creates another exterior(outside angle), the resultant exterior angle created is equal to the sum(addition) of the other two opposite (inner) interior angles of the triangle.

From the information given:

Angle A = 50; Angle B = 4x + 2, Angle ACD = 6x + 12

Therefore;

50 + 4x + 2 = 6x + 12

52 + 4x = 6x + 12

4x - 6x = 12 - 52

-2x = - 40

x = 20

Since x = 20, angle ACD = 6x + 12

The measure of angle ACD = 6(20) + 12 =132°

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Answer: A.

Step-by-step explanation:

Answer:

red=7

pink=4

purple=15

dark pink=22

gray=18

Answer: Decagon

Step-by-step explanation:

That would be a decagon because it has 10 sides. It does not matter if the shape looks wonky.

Hope this helps :)

Answer:

The first item that fits into an envelope 20 L, 10°H and 4"W and weighs 10oz is a "Flat size mail." According to the rate chart, the first ounce of Flat size mail costs $0.88 and each additional ounce costs $0.17. The cost for the 10 ounces of this item will be $0.88 + 9 x $0.17 = $1.83.

The second item that fits into an envelope 8 L, 5" H and 0.20 W and weighs 2.5oz is a "Letter size mail." According to the rate chart, the first ounce of Letter size mail costs $0.44 and each additional ounce costs $0.17. The cost for the 2.5 ounces of this item will be $0.44 + 1.5 x $0.17 = $0.75.

So, the total cost for both items will be $1.83 + $0.75 = $2.58.

Hi there, here's your answer:

Before answering this question, we need to know the concept of 'End Behavior'.

What's "end behavior"?

The end behavior of a function [tex]f[/tex] describes the behavior of the graph of the function at the "ends" of the x-axis.

In other words, the end behavior of a function describes the trend of the graph if we look to the right end of the x-axis (as x approaches +∞) and to the left end of the x-axis (as x approaches -∞).

Thus, as V approaches negative infinity, V(x) approaches negative infinity.

And

As V approaches infinity, V(x) approaches infinity.

Hope it helps! Please mark as brainliest!

Answer:

Not enought information

Step-by-step explanation:

We need the function in question 1

However, If I had to guess I'd say

1. infinity

2. negative infinity

The probability that the person belonged to Group A is given as follows:

Probability = number of people in Group A that ate at least 7 vegetables / total number of people that ate at least 7 vegetables.

A probability is calculated as the division of the desired number of outcomes by the total number of outcomes.

The outcomes for this problem are given as follows:

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A bag of 15 scrabble tiles contains three each of the letters a, c, e, h, and n. The chance of spelling "chance" is approximately 0.0108 or about 1.08%.

First, we need to count the number of ways to choose two "c"s, two "e"s, and one each of "h" and "n" from the 15 tiles in the bag. To do this, we use the combination formula:

C(n, r) = n! / (r! * (n - r)!)

where n is the total number of items and r is the number of items we want to choose. For example, to choose two "c"s from three, we can calculate:

C(3, 2) = 3! / (2! * (3 - 2)!) = 3

We can use this formula to calculate the number of ways to choose two "c"s, two "e"s, and one each of "h" and "n":

C(3, 2) * C(3, 2) * C(3, 1) * C(3, 1) = 54

Therefore, there are 54 ways to choose the required letters out of the 15 tiles in the bag.

Next, we need to count the total number of ways to choose 6 tiles from the 15 in the bag. We can again use the combination formula:

C(15, 6) = 15! / (6! * (15 - 6)!) = 5005

Therefore, there are 5005 ways to choose any 6 tiles from the bag.

Finally, we can calculate the probability of spelling "chance" by dividing the number of ways to choose the required letters by the total number of ways to choose 6 tiles:

54 / 5005 ≈ 0.0108 or about 1.08%

So the probability of spelling "chance" when picking six tiles one at a time from the bag is approximately 0.0108 or about 1.08%.

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Answer:

Step-by-step explanation:

The slope of a line between two points (x1, y1) and (x2, y2) is given by:

m = (y2 - y1) / (x2 - x1)

In this case, we are given that m = -1/2, so substituting in the two points we have:

-1/2 = (9 - 12) / (x - 8)

Expanding and simplifying the equation:

-1/2 = -3 / (x - 8)

Multiplying both sides by -2:

1 = 3 / (x - 8)

Multiplying both sides by (x - 8):

x - 8 = 3

Adding 8 to both sides:

x = 11

So the x-coordinate of the second point is x = 11.

Answer:

3:23

Step-by-step explanation:

The water fight ended at 4:28 and lasted for 32 minutes so

4:28 - 32 minutes = 3:56

3:56 - 33 minutes = 3:23

Answer:

The answer is -8

Step-by-step explanation:

[tex]2x+y=4\\x-y=5\\\\[/tex]

after combining these into a singular equation, we get:

[tex]3x=9\\x=3[/tex]

substitute the value of [tex]x[/tex] into one of the equations:

[tex]x-y=5\\3-y=5\\y=-2[/tex]

now that we found the [tex]x[/tex] and [tex]y[/tex] value, we can substitute it into the term [tex]b^a[/tex] since we know that [tex]x=a[/tex] and [tex]y=b[/tex].

[tex]a^b\\a=x, b=y\\x=3, a=3\\y=-2, b=-2\\-2^3\\-8[/tex]

The value of the function f(-1) is -4

A function is simply described as an equation that explains the relationship between the independent variable and the dependent variable.

From the information given, we have the function;

f(x)=4x^2+9x+9

To determine the value of f(-1)

substitute the value of x as- 1, we get;

f(-1) = 4(-1)² + 9(-1) + 9

expand the bracket, we get;

f(-1) = -4 -9 + 9

Add or subtract the values, we have;

f(-1) = -4

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The quadratic function in factored form given the parabola has roots of 9 and -6 and passes through the point (-8,-102) is f(x) = x²-3x-54

A quadratic function is a polynomial function with one or more variables in which the highest exponent of the variable is two.

Given that, the quadratic function in factored form given the parabola has roots of 9 and -6 and passes through the point (-8,-102).

We know that, the standard form of the quadratic equation is given by,

x²-(α+β)x+αβ=0, where α and β are roots of the equation,

Therefore,

x²-(9-6)x+9(-6) = 0

x²-3x-54 = 0

Hence, the quadratic function in factored form given the parabola has roots of 9 and -6 and passes through the point (-8,-102) is f(x) = x²-3x-54

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The number of people who become aware of the product at time t is [tex]p(t) = 5(1 - 0.9^{\frac{t}{10} })[/tex]

The advertising company wants to introduce a new product to a population of 5 million people. They assume that no one was aware of the product at the beginning of the campaign. They also know that after 10 days of advertising, 10% of the people became aware of the product. To find out how many people become aware of the product at time t, they use a function called p(t).

The function p(t) represents the number of people (in millions) who become aware of the product by time t. The company assumes that the rate at which p increases is proportional to the number of people still unaware of the product. This means that the more people who are unaware of the product, the faster the number of people who become aware of it will increase.

To express the proportionality mathematically, we can use the equation:

p'(t) = k [5 - p(t)]

Where p'(t) is the rate of change of p with respect to time t, and k is the proportionality constant that determines the speed of the increase. The quantity (5 - p(t)) represents the number of people who are still unaware of the product at time t. This means that as p(t) gets closer to 5 million, the rate of increase of p(t) will slow down.

To solve this equation, we need to use calculus. Integrating both sides of the equation, we get:

ln|5 - p(t)| = kt + C

Where C is the constant of integration. To determine the value of C, we use the initial condition that p(0) = 0. This means that at the beginning of the campaign, no one was aware of the product. Substituting this into the equation, we get:

ln|5 - 0| = k(0) + C

Simplifying, we get:

C = ln(5)

Substituting this value into the equation, we get:

ln|5 - p(t)| = kt + ln(5)

To find the value of p(t) at a specific time t, we can solve for p(t) by taking the exponential of both sides of the equation:

[tex]|5 - p(t)| = e^{kt+ln(5)}[/tex]

Simplifying, we get:

[tex]5 - p(t) = 5e^{kt}[/tex]

Or:

[tex]p(t) = 5(1 - e^{kt})[/tex]

To find the value of k, we can use the fact that 10% of the people were aware of the product after 10 days of advertising. This means that:

p(10) = 0.1(5) = 0.5

Substituting this into the equation, we get:

[tex]0.5 = 5(1 - e^{10k})[/tex]

Solving for k, we get:

k = -0.1 ln(0.9)

Substituting this value into the equation for p(t), we get:

[tex]p(t) = 5(1 - e^{-0.1ln(0.9)t})[/tex]

Simplifying, we get:

[tex]p(t) = 5(1 - 0.9^{\frac{t}{10} })[/tex]

This is the formula that tells us how many people will become aware of the product at time t.

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Using this formula, we find that d = 2/3, meaning Beth rode 2/3 of a mile farther than she walked. The formula to solve this problem is d = 1/2 - 1/12, where d is the difference in distance between the bus ride and the walk.

Beth rode the bus 1/2 of a mile and then walked 1/12 of a mile to get home. To calculate how much farther she rode than walked, we need to subtract the distance walked from the distance ridden. The formula to solve this problem is d = 1/2 - 1/12, where d is the difference in distance between the bus ride and the walk. Using this formula, we find that d = 2/3, meaning Beth rode 2/3 of a mile farther than she walked.

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Answer:

-2, 2

Step-by-step explanation:

trust me

Cost of goods sold (COGS) is an important accounting calculation that measures the costs associated with selling a company’s goods or services. Therefore, the cost of goods sold for the month ended is $600.

Cost of Goods Sold (COGS) is a measure of the cost of goods sold during the accounting period. It is calculated by subtracting the beginning inventory from the cost of goods purchased during the accounting period and then adding the ending inventory. For Dig the Dogs, Inc., the cost of goods sold for the month ended is calculated as follows: Beginning Inventory = 0 Cost of Goods Purchased = $900 Ending Inventory = $300 .COGS = Beginning Inventory + Cost of Goods Purchased - Ending Inventory  = 0 + 900 - 300   = $600 Therefore, the cost of goods sold for the month ended is $600.

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Answer:

the iqr is the best measure of variability

The IQR is the best measure of variability, and it equals 4.

Option C is the correct answer.

An interquartile range is a measure of the difference between the upper and lower quartiles of a dataset.

W can find the values of the upper and lower quartile and median from a box plot.

The middle line is the median and the first line is the lower quartile and the last line is the upper quartile.

The formula used is Upper quartile - Lower quartile.

We have,

The appropriate measure of variability for the data is the interquartile range (IQR), which is the range of the middle 50% of the data.

In other words, it is the difference between the third quartile (Q3) and the first quartile (Q1).

From the box plot, we can see that the box extends from 17 to 21 on the number line, with a line at 19 inside the box.

This means that Q1 is 17 and Q3 is 21.

The IQR is:

IQR = Q3 - Q1 = 21 - 17 = 4

Thus,

The IQR is the best measure of variability, and it equals 4.

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The measure of angle ACD for the given circle is 67.5 degree.

A triangle is inside a circle when a circle encircles it, and each vertex of the triangle touches the circle.

When a circle encircles a triangle, the triangle lies outside the circle and the circle makes one point contact with each of the triangle's sides. The triangle's sides are perpendicular to the circle.

Given that,

The inscribed angle CDA = 1/2(arc AC).

arc AC = 90 degree.

Then:

∠ CDA = 90 / 2

∠ CDA = 45

Triangle ACD is isosceles, so:

∠ ACD + ∠ CAD + ∠ CDA = 180 degree

Here, ∠ ACD = ∠ CAD

∠ ACD + ∠ACD + ∠ CDA = 180 degree

∠ ACD = 180-45 / 2

∠ ACD   = 67.5 degree

Hence, the measure of angle ACD for the given circle is 67.5 degree.

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The correct question is:

Points A, B, C, and D lie on circle M. Line segment BD is a diameter.

Triangle A C D is inscribed within circle M. Point B is on the circle between points C and B. A line is drawn to connect points D and B. Lines are drawn from points C and A to point M to form a right triangle. Arcs C D and A D are congruent.

What is the measure of angle ACD?

45.0°

67.5°

112.5°

135.0°

[tex]\left[\begin{array}{ccc}-1&5\\7&-2\end{array}\right]\left[\begin{array}{ccc}x\\y&\end{array}\right] =\left[\begin{array}{ccc}7\\3&\end{array}\right][/tex] is the representation of system of equation x+5y=7, 7x-2y=3

A matrix is a rectangular array or table of numbers, symbols, or expressions, arranged in rows and columns.

The system of linear equations

-x + 5y = 7

7x - 2y = 3

can be represented in matrix form as:

[tex]\left[\begin{array}{ccc}-1&5\\7&-2\end{array}\right]\left[\begin{array}{ccc}x\\y&\end{array}\right] =\left[\begin{array}{ccc}7\\3&\end{array}\right][/tex]

The matrix on the left represents the coefficients of the variables x and y, and the matrix on the right represents the constants on the right-hand side of each equation.

The vector on the left contains the variables x and y, and the vector on the right contains the constants.

Hence, [tex]\left[\begin{array}{ccc}-1&5\\7&-2\end{array}\right]\left[\begin{array}{ccc}x\\y&\end{array}\right] =\left[\begin{array}{ccc}7\\3&\end{array}\right][/tex] is the representation of system of equation x+5y=7, 7x-2y=3

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Answer:

the answer is 19!

To make it easier you can also use an online calculator or if you have one in real life you can use it! You can also do it on paper!

Have a great day! :) <3

Answer:

8(8+7)

Step-by-step explanation:

64+56
8 is the GCF
8(8+7)

The addition of two numbers is 410+210 is 620.

From the given numbers,

First number is 410

Second number is 210.

One of the arithmetic operations is addition. The total of the numbers is provided. In other words, addition refers to the operation of adding the numbers together. "+" is the symbol used to denote addition. The outcome of the adding procedure is referred to as the sum. Addends are the numbers that are added together.

The following are the rules of addition operation:

Now,

⇒410+210=620

Therefore, the value is 620.

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The probability of a gym member attending yoga is 0.625 or 62.5%.

Probability is the likelihood or chance of an event happening. In this scenario, we have information about the number of gym members attending yoga and dance, which can be used to calculate the probability of a gym member attending yoga.

Out of the 400 gym members, 300 regularly attend yoga, and 50 attend both yoga and dance. This means that the number of gym members attending only yoga is 300-50=250. The probability of a gym member attending yoga can be calculated by dividing the number of gym members attending yoga by the total number of gym members.

Probability of a gym member attending yoga= Number of gym members attending yoga/Total number of gym members

Probability of a gym member attending yoga= 250/400

Probability of a gym member attending yoga= 0.625 or 62.5%

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Complete Question:

400 gym members, 300 regularly attend yoga, 80 regularly attend dance, and 50 regularly attend yoga and dance. Using this information, answer each of the following questions.

What is the probability that a gym member attends yoga?

The required probability of removing a white marble followed by a blue marble is 2/33.

Probability can be defined as the ratio of favorable outcomes to the total number of events.

Here,
There are 12 marbles in the bag in total, so the probability of selecting a white marble on the first draw is 4/12 or 1/3.

After the first marble is put aside, there are now 11 marbles in the bag, with 2 of them being blue. Therefore, the probability of selecting a blue marble on the second draw is 2/11.

To find the probability of selecting a white marble followed by a blue marble, we need to multiply the probability of the first event (selecting a white marble) by the probability of the second event (selecting a blue marble):

P(white, then blue) = P(white) x P(blue|white)

P(white, then blue) = (1/3) x (2/11)

Simplifying:

P(white, then blue) = 2/33

Therefore, the probability of removing a white marble followed by a blue marble is 2/33.

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Answer:

False.

Step-by-step explanation:

Longitude and latitude are geographical coordinates used to determine the location of a place on the earth's surface. They are not easily calculated by observing the direction that fish are swimming. Latitude is determined by observing the position of the sun relative to the earth's equator and longitude is determined by observing the position of the sun relative to the Prime Meridian. To accurately calculate latitude and longitude, one would need to use specialized instruments, such as a sextant, or rely on GPS technology. Observing the direction that fish are swimming would not provide enough information to accurately determine latitude and longitude.

False

the longitude and latitude can be easily calculated and determined with using a map not by observing the direction that the fish are swimming.