a cup of coffee starts at temperaryre 180 in a room where the surroundings temperature is 80. after 10 minutes, the coffee has cooled to 130. find an equation for the temperature t of the coffee as a function of time. simplify your answer as much as you can and make sure there are no unknown constants

This question was not well written

You walk 2/3 miles to a shoe store. Then you walk another 1/8 miles to a music store. How many miles have you walked in all? Write your answer as a fraction in simplest form.

Answer:

19/24 miles

Step-by-step explanation:

Number of miles walked to the shoe store = 2/3 miles

Number of miles walked to the music store = 1/8 miles

Total many miles have you walked in all = Number of miles walked to the shoe store + Number of miles walked to the music store

= 2/3 miles + 1/8 miles

Find Lowest Common Multiple = 24

= 2 × 8 + 1 × 3/24

= 16 + 3/24

= 19/24 miles

The coordinates of the points before and after dilation is below

preimage      image

(0,-4)               (7, -1)

(1,-4)                (9, -1)

(0, -2)              (7, 3)

(2,-2)               (11, 3)

Dilation is a method of transformation that magnify or shrink the preimage depending on the scale factor

for dilation outside the origin is achieved using the formula

=  (k(x - a) + a, k(y - b) + b)

(a, b) is the center of dilation and k is the scale factor

the dilation is done as follows

preimage      dilation                                    image

(0, -4)         (2(0 - (-3)) + 1, 2(-4 - (-3)) + 1)        (7, -1)

(1, -4)         (2(1 - (-3)) + 1, 2(-4 - (-3)) + 1)          (9, -1)

(0, -2)         (2(0 - (-3)) + 1, 2(-2 - (-3)) + 1)        (7, 3)

(2, -2)         (2(2 - (-3)) + 1, 2(-2 - (-3)) + 1)        (11, 3)

the coordinates of the the image is at (7, -1), (9, -1), (7, 3), and (11, 3)

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Transformations that may have been used to construct A'B'C include a 90° upward rotation and a 3 unit up and 3 unit right shift.

Transformation in mathematics refers to the process of changing the position, size, or shape of a geometric object. The following are the most common types of transformations: Translation: It involves moving an object from one location to another without changing its size or orientation. Reflection: It involves flipping an object over a line of reflection, so that the object and its image are mirror images of each other. Rotation: It involves rotating an object around a fixed point, called the center of rotation. Dilation: It involves changing the size of an object, either making it larger or smaller, while preserving the shape of the object. Shear: It involves skewing an object in a given direction, causing its shape to be distorted. Similarity Transformation: It is a combination of transformations that preserve the shape of an object, but changes its size and orientation.

Here,

Triangle A’B’C’ is the image of triangle ABC. Transformations could have been used to create A’B’C,

Rotation of 90° upwards.

Shift of 3 units up and 3 units to the right.

Transformations could have been used to create A’B’C is Rotation of 90° upwards and Shift of 3 units up and 3 units to the right.

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Answer:

5h+35y=390$

20h+20y=360$

Step-by-step explanation:

there are many answers possible.

The following are just examples:

5h+35y=390$

20h+20y=360$

The degrees of freedom for the f test on whether hours affect salary are (1, 49). The degrees of freedom for the F-test are an essential aspect of determining whether hours affect salary.

Degrees of freedom refer to the number of independent pieces of information that can be used to estimate a parameter. In this case, we have one variable (hours) that is being used to predict another variable. The f test is used to determine whether there is a significant relationship between these two variables. The degrees of freedom for the numerator is 1 and the degrees of freedom for the denominator is 49. In the case of the F-test, there are two degrees of freedom: one for the numerator (df1) and one for the denominator (df2).

For the F-test examining the effect of hours on salary, we'll consider the following:

- df1: This represents the difference between the number of groups being compared (k) minus 1. Since we are comparing two groups (hours worked vs. salary), we have df1 = 2 - 1 = 1.

- df2: This represents the total number of observations (n) minus the number of groups (k). Let's assume that there are 50 observations in the dataset, so we have df2 = 50 - 2 = 48.
The correct answer is therefore (1, 49).

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Answer:

C is the answer because if u add all the numbers up and subtract how much she has paid so far u get 255,000

Answer: $90,000

Step-by-step explanation: just did the test

Answer:

the awnser should be. 165

Answer:

7.-3

Step-by-step explanation:

yes.

Answer:

Step-by-step explanation:

x - y = 30

Substitute 15 for y.

x - (15) = 30

Add 15 to both sides.

x = 45

Answer:

Step-by-step explanation:

Velocity (v) is a vector quantity that measures displacement (or change in position, Δs) over the change in time (Δt), represented by the equation v = Δs/Δt. Speed (or rate, r) is a scalar quantity that measures the distance traveled (d) over the change in time (Δt), represented by the equation r = d/Δt.

∠ABC = ∠ADC

Here, we want to state an additional piece of information that would make triangle BAC and DAC confgruent by SAS

When we say they both are congruent by SAS, we mean they are congruent by side, angle and side.

From the diagram of the question, we already have two marked sides, with oe on either triangle. We also have the side C being a part of both triangles. So what we need now is the angle that will complete the SAS notation.

The angle in this case is ∠ABC = ∠ADC

Given the sum of fraction;

To get the domain of the function, we need to get all the input variable "x" for which the expression exists.

The function will exist when x ≠ 0 i.e. x < 0 and x > 0

The domain of the expression in interval notation is

Solve the given expression

Hence the sum of the indicated operation is 8/5x

Answer:

18.10

Step-by-step explanation:

6x2.40= $14.40 + $3.70= 18.10

Answer:

18.1 dollars

Step-by-step explanation:

2.40x6+3.70

Answer: 124

Step-by-step explanation:

As we know, the total number of positive divisors of n is the product of one more than each exponent in the prime factorization of n.

We know this product is equal to 11.

Since 11 is prime, so there can be only one number in this product, so the prime factorization of n must be \($n=p^{10}$\), where p is a prime number.

We take a cube of the prime factorization of n to give us a prime factorization for \(n^3\)

\($$n^{3}=\left(p^{10}\right)^{3}=p^{30} .$$\)

We see that \(n^{3}\text{ has }$30+1=31$\) positive divisors.

Now, \(8n^3=2^3\times p^{30}\)

Totald divisiors = \((3+1)(30+1)=4\times31=124\)

Hence, the number of positive divisors of \(8n^3=124\)

\(\qquad \qquad\huge \underline{\boxed{\sf ᴀɴsweʀ}}\)

Let's solve ~

\(\qquad \sf  \dashrightarrow \: {x}^{2} - 21 = 79\)

\(\qquad \sf  \dashrightarrow \: {x}^{2} = 79 + 21\)

\(\qquad \sf  \dashrightarrow \: x {}^{2} = 100 \)

\(\qquad \sf  \dashrightarrow \: x = \pm\sqrt{100} \)

\(\qquad \sf  \dashrightarrow \: x = \pm \sqrt{10 \times 10} \)

\(\qquad \sf  \dashrightarrow \: x = \pm10\)

The conclusion that is correct in a two-tailed test at α = .05 is There appears to be no difference in the mean occupancy rates.

From the given values:

Thus, the P-value = 0.1791

Interpret results. Since the P-value (0.1791) is greater than the significance level (0.05), we failed to reject the null hypothesis.

From the above test, we do not have sufficient evidence in favor of the claim that there is a difference in the mean occupancy rates.

Thus, option A is correct.

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The measure of arc AB is 236 degrees as the internal angle of arc AB is equal to the sum of the internal angles of arcs AC and EF.

To find the measure of arc AB, we need to use the given information and some basic geometry principles:

Therefore, the measure of arc AB is 236 degrees.

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The question is -

Find the measure of the arc AB.

Answer:

3.1 cm    

Step-by-step explanation:

i did it on edge 2021

Answer:

The probability of the frog landing on a complement of yellow lily is 0.57

Step-by-step explanation:

PLANTS Of the water lilies in the pond, 43% are yellow. The others are white.

It is given that 43% of plants are lilies it means the probability of a frog randomly jumping onto a lily is:

the probability of the frog landing on a complement of yellow lily is 0.57

Answer:

{-4,2,6,9}

Step-by-step explanation:

Mathematically, the domain refers to the possible x-values

what this mean in the relation view are the values listed in the left ellipse

So we have the domain as;

{-4,2,6,9}

The probability of odd or less than 6 is 0.75 which is 75%

Probability is the branch of mathematics concerning numerical descriptions of how likely an event is to occur, or how likely it is that a proposition is true.

From the question, there are 4 numbers

These include: 5,6,7,8

Pr(odd) 2/4

Pr(x<6) 1/4

Adding the fractions we have

1/2  + 1/4  = 3/4  = 0.75

Converted to percentage = 75%

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Answer:

GP, GO, GB, PO, PB, OB

Step-by-step explanation:

The test value for the t-test comparing the means of two samples, given their sample means, sample variances, and sample sizes, is approximately -6.98.

To perform a t-test for the difference between two means, we need the sample means, sample variances, and sample sizes of the two samples. In this case, the sample means are 80 and 135, the sample variances are 550 and 100, and the sample sizes are 10 and 14.

The formula for calculating the test value for a t-test is:

test value = (sample mean 1 - sample mean 2) / sqrt((sample variance 1 / sample size 1) + (sample variance 2 / sample size 2))

Plugging in the given values:

test value = (80 - 135) / sqrt((550 / 10) + (100 / 14))

Calculating this expression:

test value ≈ -6.98

Therefore, the test value for the t-test is approximately -6.98.

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The slope of the line connecting the points (8,3) and (13,17) is 2.80. It indicates a positive and moderately steep slope.

The slope of a line can be calculated using the formula: slope = (change in y) / (change in x). Given the coordinates (8,3) and (13,17), we can determine the change in y and the change in x.

Change in y = 17 - 3 = 14

Change in x = 13 - 8 = 5

Plugging these values into the slope formula, we have slope = 14 / 5 = 2.8.

Therefore, the slope of the line connecting (8,3) and (13,17) is 2.80. This means that for every 1 unit increase in the x-coordinate, the y-coordinate increases by 2.80 units. The slope represents the rate at which the line is inclined or steep, and in this case, it indicates a positive and moderately steep slope.

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The value of  Pw(w) and Fw(w) are (0, 0.4, 0.8, 1) for different random variable X. And E[W] = -E[X] = -0 = 0.

(a) To find Pw(w), we need to determine the probability that the transformed random variable W takes on a specific value w. In this case, W = -X.

Since W is the negative of X, the probability that W equals w is equal to the probability that X equals -w.

Pw(w) = P(X = -w)

Considering the CDF of X, we have the following intervals:

For -∞ < x < -3: Fx(x) = 0

For -3 < x < 5: Fx(x) = 0.4

For 5 < x < 7: Fx(x) = 0.8

For 7 < x < ∞: Fx(x) = 1

Since W = -X, we can rewrite the intervals as:

For ∞ < w < 3: Fw(w) = 0 (since X = -w is not within the range of X)

For -3 < w < -5: Fw(w) = 0.4

For -5 < w < -7: Fw(w) = 0.8

For -∞ < w < -7: Fw(w) = 1

(b) To find Fw(w), we need to determine the cumulative distribution function (CDF) of W. From the previous calculations:

For ∞ < w < 3: Fw(w) = 0

For -3 < w < -5: Fw(w) = 0.4

For -5 < w < -7: Fw(w) = 0.8

For -∞ < w < -7: Fw(w) = 1

(c) To find E[W], we need to calculate the expected value of W. Since W = -X, we can express E[W] as:

E[W] = E[-X] = -E[X]

We can use the CDF Fx(x) to find the expected value of X:

E[X] = ∫ x * f(x) dx

Using the intervals and probabilities from the CDF:

E[X] = (-3 * 0.4) + (0 * (0.8 - 0.4)) + (6 * (1 - 0.8))

E[X] = -1.2 + 0 + 1.2

E[X] = 0

Therefore, E[W] = -E[X] = -0 = 0.

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Answer:

1/4

Step-by-step explanation:

answerr:

5/4-1

taking LCM ( 4 is the LCM)

=5-4/4

=1/4

Answer:

8.06 units

Step-by-step explanation:

Coordinates: (8,1) and (0,0)

8^2+1^2=65

Find square root of 65

=8.06 units

we get x=y =0 which gives 0 perimeter or x=y this implies rectangle must be a square

1. Method of Langrage Multipliers:

To find the extremum values of f(x,y) subject to constraint g(x,y) = k

find all values of x,y and λ, such that :

Δλ(f,x) = λΔg(x,y)

And  g(x,y) = k

2. let the two side of the rectangle be x and y

therefore

f(x,y) = xy And g(x,y)= 2(x+y)=p

fₓ=λgₓ => y=2λ ----------------- 1

fy = λgy => x = 2λ----------------2

using equation and 1 and 2

λ=0, but this is not possible because tis implies x = y = 0, which gives  0 perimeter

or

x=y

Hence the rectangle must be a square

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Answer: 51

Step-by-step explanation:

We will use the Order of Operations, sometimes known as PEMDAS.

    Given:

5x² - x + 9

    Plug in the value of 3:

5(3)² - (3) + 9

    To the power of 2:

5(9) - 3 + 9

    Multiply:

45 - 3 + 9

   Subtract:

42 + 9

    Add:

51

Answer:

90.24 mm

Step-by-step explanation:

Circumference = 2πr

C = 2(3.14)(16)

C = 100.48 mm

Perimeter of the figure = 20 + 20 + 1/2 (circumference)

P = 40 + 1/2 (100.48)

P = 40 + 50.24

P = 90.24 mm

I hope this helps!