Lauren has a coin collection. She keeps 3 of the coins in her box, which is 4% of the collection. How many total coins are in her collection?

Option B. 5 mod (x+1), is congruent to 5 for prime integer values of x.

To determine which of the options are congruent to 5 * (x is a prime integer), we need to evaluate each option.

A. 1 mod (x+1): This option is not congruent to 5 for any prime integer x, as 5 * (x+1) will not result in a remainder of 1 when divided by (x+1).

B. 5 mod (x+1): This option is congruent to 5 for any prime integer x, as 5 * (x+1) will have a remainder of 5 when divided by (x+1).

C. 5 mod x: This option is not congruent to 5 for any prime integer x, as 5 * x will not result in a remainder of 5 when divided by x.

D. 1 mod (x-1): This option is not congruent to 5 for any prime integer x, as 5 * (x-1) will not result in a remainder of 1 when divided by (x-1).

Therefore, the correct answer is option B. 5 mod (x+1), as it is the only option that is congruent to 5 for prime integer values of x.

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Answer:

y = 5x - 3

Step-by-step explanation:

Asim's age = x

Mother's age = y

y = 5x - 3

or y = 5x - 3

x = 7

y = 5(7) - 3

y = 35 - 3

y = 32

Answer:

3

Step-by-step explanation:

It should be 3 because when you look at it divide them all and each one gives you 3. If it's not then sorry.

Answer:

π (radius) square

where π value is 22/7

Therefore , the solution of the given problem of surface area comes out to be 212 square feet of the wall are therefore covered by the design.

The total size of the object can be determined by calculating how much room would be required to completely cover its exterior. When choosing a similar product with a cylindrical form, the environment is taken into account. Anything's total dimensions are determined by its surface area. The amount of water that a cuboid can hold depends on the number of sides that link its four trapezoidal shapes.

Here,

We must first determine the area of each individual form before adding them together to determine the portion of the wall that the design covers.

Taking a look at the rectangle first, we can observe that it has the following area:

=> 120 square feet=  10 feet x 12 feet.

=> 40 square feet =  (1/2)(10 ft)(8 ft).

Consequently, the two triangles' combined area is:

=> 80 square feet =  2 x 40 square feet.

=> (12 square feet) = (1/2)(6 ft)(4 ft).

The total area of all the shapes is as follows:

=> 212 square feet=  120 square feet, 80 square feet, and 12 square feet.

=> 212 square feet of the wall are therefore covered by the design.

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Answer: the answer is 261 ^2 ft!

Step-by-step explanation:

Answer:

Event 1 and Event 2 have different probabilities, and it is not possible to determine which one is higher without additional information.

Event 1 involves rolling a six-sided dice, which has six possible outcomes, each with an equal probability of 1/6. The probability of rolling a 3 on a single roll is 1/6. Therefore, the probability of rolling two 3's in a row is (1/6) x (1/6) = 1/36.

Event 2 involves drawing from a deck of 52 cards, which includes 26 red cards (13 of which are face cards). The probability of drawing a red suited face-card on the first draw is 26/52 x 4/13 = 2/13, since there are 26 red cards out of 52 total cards, and 4 face-cards out of 13 cards of each suit. On the second draw, there will be one less card in the deck, so the probability of drawing another red suited face-card will be 25/51 x 3/12 = 5/204. The probability of drawing two red suited face-cards in a row is therefore (2/13) x (5/204) = 5/663.

Comparing the two events, we see that the probability of Event 1 is higher than that of Event 2. Therefore, rolling two 3's in a row using a six sided dice is the event with the higher theoretical probability.

(Please could you kindly mark my answer as brainliest you could also follow me so that you could easily reach out to me for any other questions)

Answer:

D) 0.87

Step-by-step explanation:

to find the answer, we would have to use this formula

                     P(AUB) = P(A) + P(B) - P(AnB)

HINT:

P(AUB) is for something and something

P(A) is for something

P(B) is for something

P(AnB) is for something or something

Now we figure out P(AnB) because it said what is the P(regular or creamer).

P(A) is regular, which is (0.27 + 0.19 + 0.32 = 0.78)

P(B) is creamer, which is (0.32 + 0.09 = 0.41)

P(AUB) is regular and creamer, which is 0.32

Now we plug it all numbers in the formula, we will get this

                        0.32 = 0.78 + 0.41 - P(AnB)

                   +P(AnB)                       +P(AnB)

P(AnB) + 0.32 = 1.19

            -0.32      -0.32

P(AnB) = 1.19 - 0.32

P(AnB) = 0.87

The answer is D) 0.87

PLS: give me brainiest

The probability of a person being chosen at random regular or plain will be 0.87.

Its fundamental concept is that someone will nearly surely occur. The proportion of positive events in comparison to the total of occurrences.

Then the probability is given as,

P = (Favorable event) / (Total event)

Coffee Type          Plain               Sugar              Creamer    Total

Regular               0.27                  0.19                  0.32           0.78

Decaf                  0.05                 0.08                  0.09           0.22

Total                    0.32                 0.27                  0.41               1

Then the probability of regular or plain is given as,

0.32 = 0.78 + 0.41 - P(AnB)

P(AnB) = 0.78 + 0.41 - 0.32

P(AnB) = 0.87

The probability of a person being chosen at random regular or plain will be 0.87.

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According to the question we have  the correct answer is option 2, with a volume of 1664 cubic units.

The volume of the solid lying under the circular paraboloid z = x^2 + y^2 and above the rectangle R = (-4, 4] x [-6, 6] can be found using a double integral. First, set up the integral with respect to x and y over the given rectangular region:

Volume = ∬(x^2 + y^2) dA

To evaluate this integral, we will use the limits of integration for x from -4 to 4, and for y from -6 to 6:

Volume = ∫(from -4 to 4) ∫(from -6 to 6) (x^2 + y^2) dy dx

Now, integrate with respect to y:

Volume = ∫(from -4 to 4) [(y^3)/3 + y*(x^2)](from -6 to 6) dx

Evaluate the integral at the limits of integration for y:

Volume = ∫(from -4 to 4) [72 + 12x^2] dx

Next, integrate with respect to x:

Volume = [(4x^3)/3 + 4x*(72)](from -4 to 4)

Evaluate the integral at the limits of integration for x:

Volume = 1664

Therefore, the correct answer is option 2, with a volume of 1664 cubic units.

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Answer:

0.2 is the answer

Step-by-step explanation:

Answer:

0.2

Step-by-step explanation:

5^-1=0.2

The data, and use this information to make informed decisions and draw conclusions.

A table is a structured representation of data that organizes information into rows and columns. Tables can be used to summarize numerical and categorical data, and can include measures of central tendency (e.g., mean, median, mode) and measures of variability (e.g., range, standard deviation). To analyze data from a table, you can identify patterns or trends in the data, calculate summary statistics, and compare the values of different variables.

A histogram is a graph that displays the distribution of numerical data by dividing the data into intervals (called "bins") and showing the frequency or relative frequency of data points that fall within each bin. Histograms can be used to identify the shape of a distribution, the center of the data (i.e., the mean or median), and the spread of the data (i.e., the standard deviation or range). To analyze data from a histogram, you can identify the shape of the distribution (e.g., normal, skewed, bimodal), calculate summary statistics (e.g., mean, median, standard deviation), and compare the values of different variables.

In summary, tables and histograms are powerful tools for organizing, summarizing, and visualizing data. By analyzing and interpreting data from tables and histograms, we can gain insights into the patterns and trends of the data, and use this information to make informed decisions and draw conclusions.

Complete question: Use the following information to answer questions. Data below the recording the number of deaths for the top thirteen worst U. S. tornados since 1925. A histogram showing the distribution is also included. 689, 454, 102, 208, 142, 271, 315, 268, 150, 181, 114, 115, 110 Frequency 4 3 2 1 200 1 300 1 500 1 100 400 600 700 Number of Deaths (a) Choose the most appropriate measure of center then calculate the value rounded to the nearest tenth.

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the matrix K for the given system is:

K = [k1 + k2   -k2]

     [-k2        k2 + k3]

And it is symmetric.

To calculate the matrix K for the given system, we need to determine the values of k1, k2, and k3 based on the system equation:

[m1   0 ] [x₁(t)] + [k1 + k2   -k2 ][x₁(t)] = [0]

[   ]x(t) + [   ]x(t) = [   ]

[0   m2] [x₂(t)]   [ -k2   k2 + k3][x₂(t)]   [0]

From the equation, we can see that the coefficients of the x₁(t) terms form the diagonal elements of the matrix K, and the coefficients of the x₂(t) terms form the off-diagonal elements.

Therefore, the matrix K is:

K = [k1 + k2   -k2]

   [-k2        k2 + k3]

To verify that K is symmetric, we compare its transpose with the original matrix K.

The transpose of K is:

K^T = [k1 + k2  -k2]

      [-k2         k2 + k3]

We can observe that K is equal to its transpose K^T, which means the matrix K is symmetric.

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The solution is, the finally discounted price is 71.5.

A percentage is a number or ratio that can be expressed as a fraction of 100. A percentage is a number or ratio expressed as a fraction of 100. It is often denoted using the percent sign, "%", although the abbreviations "pct.", "pct" and sometimes "pc" are also used. A percentage is a dimensionless number; it has no unit of measurement.

here, we have,

sale price = 90

15% discount, so, the price = 90* 85%

                                            =76.5

now, after 5 discount, price became = 76.5 - 5

                                                             = 71.5

Hence, The solution is, the finally discounted price is 71.5.

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To find the probability that the mean years of education for a sample of 35 people is at least 12 years, we need to use the Central Limit Theorem (CLT) and the properties of the normal distribution.

Given:

- Mean (μ) of the population = 13.2 years

- Standard deviation (σ) of the population = 2.96 years

- Sample size (n) = 35

Using the CLT, we know that for a sufficiently large sample size (n ≥ 30), the sampling distribution of the sample mean approaches a normal distribution, regardless of the shape of the population distribution.

To calculate the probability, we need to standardize the sample mean using the z-score formula and then find the corresponding area under the standard normal curve.

Step 1: Calculate the standard error of the mean (SE):

SE = σ / √n

SE = 2.96 / √35

SE ≈ 0.5013

Step 2: Calculate the z-score for the given mean of 12 years:

z = (x - μ) / SE

z = (12 - 13.2) / 0.5013

z ≈ -2.395

Step 3: Find the area under the standard normal curve for z ≥ -2.395:

P(z ≥ -2.395) can be obtained using a standard normal distribution table or a calculator. The corresponding area is approximately 0.9911.

Therefore, the probability that the mean years of education for a sample of 35 people is at least 12 years is approximately 0.9911, or 99.11%.

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Answer:

U SHOULD PUT YA DOG OUTSIDE SAVE YA CAT

Answer:

you just said your dog was eating ketchup so imma assume he's fine now

Step-by-step explanation:

Answer:

4y-5x+8

Step-by-step explanation:

2y-5+3x+6x-2y+1+12-4x+4y

4y+2y-2y+6x+3x-4x+12+1-5

4y-5x+8

Step-by-step explanation:

Find endcap area (TWO triangles)    = TWO * 1/2 * 2 x3

 multiply by height 10

Volume =    2 *    ( 1/2 * 2 * 3)     * 10 = 60 in^3

Answer: pretty sure its B

hope this helps :)

z_1 and z_2 are complex number;

i) z₁z₂ = 8(cos(7π/12) + isin(7π/12))

ii) z₁/z₂ = 2(cos(π/12) + isin(π/12))

To calculate z₁z₂ and z₁/z₂, we need to perform the complex number operations on z₁ and z₂. Let's break down the calculations step by step:

i) To find z₁z₂, we multiply the magnitudes and add the angles:

z₁z₂ = 4cos(cos(π/4) + isin(π/4)) * 2cos(2π/3) + isin(2π/3))

= 8cos((cos(π/4) + 2π/3) + isin((π/4) + 2π/3))

= 8cos(7π/12) + isin(7π/12)

ii) To find z₁/z₂, we divide the magnitudes and subtract the angles:

z₁/z₂ = (4cos(cos(π/4) + isin(π/4))) / (2cos(2π/3) + isin(2π/3))

= (4cos((cos(π/4) - 2π/3) + isin((π/4) - 2π/3))) / 2

= 2cos(π/12) + isin(π/12)

i) z₁z₂ = 8(cos(7π/12) + isin(7π/12))

ii) z₁/z₂ = 2(cos(π/12) + isin(π/12))

Please note that the given calculations are based on the provided complex numbers and their angles.

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The projected population for the year 2036 for the following conditions is 232.870 million.

What is the relative growth rate?

Relative growth rate (RGR) is the rate of growth in relation to size or the rate of growth per unit of time in relation to the size of the object at that particular time. The continuous growth rate or the exponential growth rate are other names for it.

Given Data:

The relative growth is 3 % per year.

The government trying to reduce the growth rate to 2%.

The population in 2011 was 110 million.

The population growth model is given as,

\($$P(t)=P_o e^{r t}$$\)

The population in 2011 was 110 million, and the population in 2036 (after \($t=25$\) ) is given as,

\($$P(25)=110 e^{25 r}$$\)

When the rate is \($3 \%$\) per year, the population is.

\($$\begin{aligned}& P(25)=110 e^{25 \times 0.03} \\& P(2)=232.870 \text { millions }\end{aligned}$$\)

So, the projected population for the year 2036 for the following conditions is 232.870 million.

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Answer is: x = 9e^(-5t)

The given differential equation is:dx/dt = -5xwith x(0) = 9To solve the given differential equation using separation, we write the differential equation as:dx/x = -5 dtIntegrating both sides, we getln|x| = -5t + C1where C1 is the constant of integration.Raising e to both sides, we get|x| = e^(-5t+C1) = e^C1 * e^(-5t)Taking the modulus, we getx = ± e^C1 * e^(-5t) = ± Ce^(-5t)where C = e^C1Since the initial condition is x(0) = 9, we haveC = 9Therefore,x = 9e^(-5t) (Answer)

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Answer:

8(x+3) is the answer

Step-by-step explanation:

The equation is 6(x + 3) = 60. Then the solution of the equation is 3.

Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.

The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This approach is used to answer the problem correctly and completely.

The product of 6 and the sum of a number and 3 is 60.

Let the number be 'x'. Then the equation is written as,

6(x + 3) = 60

Simplify the equation, then the value of the variable 'x' will be calculated as,

6(x + 3) = 60

x + 3 = 60 / 6

x + 3 = 10

x = 10 - 3

x = 3

The equation is 6(x + 3) = 60. Then the solution of the equation is 3.

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The largest scale among the given representative fractions is 1:24,000.A representative scale remains correct even if the map is enlarged or reduced when reproduced. At times, latitudes higher than 66.5 degrees can have 24 hours or more of continuous darkness.

A map scale represents the relationship between the distances on a map and the corresponding distances in the real world. It is expressed as a representative fraction, where the numerator represents the map distance and the denominator represents the equivalent distance on the ground. A smaller denominator indicates a larger scale, meaning that objects on the map are depicted in greater detail.

In the given options, 1:24,000 has the smallest denominator, making it the largest scale. This means that objects on a map with a scale of 1:24,000 are depicted in greater detail compared to the other representative fractions provided.

Representative scales, also known as ratio scales or graphic scales, are designed to maintain their accuracy regardless of the size at which the map is reproduced. These scales are often represented as a linear scale bar, where distances on the map are visually depicted in proportion to the real-world distances they represent.

Unlike verbal scales, which express the relationship between map distances and ground distances through words or ratios, representative scales are visually depicted on the map itself. This allows users to directly measure distances on the map using a ruler or by referencing the scale bar, regardless of the size at which the map is reproduced.

Representative scales are especially useful in situations where maps need to be reproduced at different sizes or scales, such as in printing or digital mapping applications. They ensure that the map's accuracy and proportional relationships are maintained, allowing users to make accurate measurements and calculations based on the map.

Latitudes higher than 66.5 degrees refer to the Arctic and Antarctic regions, also known as the polar regions. These regions experience a natural phenomenon called the polar night, where the sun remains below the horizon for an extended period of time. As a result, these latitudes can have periods of 24 hours or more of continuous darkness during certain times of the year.

The polar night occurs because of the tilt of the Earth's axis. During the winter solstice in the respective hemisphere, the tilt causes the sun's rays to be unable to reach the areas within the Arctic and Antarctic Circles. This results in the prolonged darkness experienced in these regions.

The duration and intensity of the polar night vary depending on the specific latitude. The closer one gets to the poles, the longer the period of continuous darkness becomes. At the North Pole (90 degrees latitude), for example, there can be several months of complete darkness during the winter season.

The polar night has significant implications for the ecosystems and human populations in these regions. Adaptations are necessary to survive and thrive in the extreme conditions of prolonged darkness, such as changes in behavior, migration patterns, and reliance on artificial light sources.

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Answer:

X=63 y=27

Step-by-step explanation:

X and 117 are on a straight line. All straight lines = 180 degrees.

180 - 117 = 63

90 - 63 = 27

Answer:

The answer is B:65°.

65 degrees

Step-by-step explanation:

The angles add up to 180 inside, the 145 suggests the inside angle is 35, and 65 (answer) would make the whole triangle add up to 180

BRAINLIEST PLZ

the given composite shape has a 23 square inch surface area.

The area that any composite shape covers is known as the area of composite shapes. The composite shape is a shape created by joining a small number of polygons to create the desired shape. These shapes or figures can be constructed from a variety of shapes, including triangles, squares, quadrilaterals, etc. To calculate the area of a composite shape, divide it into basic shapes like a square, triangle, rectangle, or hexagon.
A composite shape is essentially a combination of basic shapes. A "composite" or "complex" shape is another name for it.
The dimensions of rectangle ABCD are 2 inches long and 7 inches wide.
The DEFG square's side measures 3 inches.

Using the equation for the composite shape's area,

Area of composite shape = Area of square + Area of rectangle; Area of composite shape = Length, Breadth, and Side 2; Area of composite shape = BC, AB, and DE2; Area of composite shape = 2 x 7 + 32; Area of composite shape = 14 + 9 = 23 square inches.

As a result, the given composite shape has a 23 square inch surface area.
The dimensions of rectangle ABCD are 2 inches long and 7 inches wide.
The DEFG square's side measures 3 inches.

Using the equation for the composite shape's area,

Area of composite shape = Area of square + Area of rectangle; Area of composite shape = Length, Breadth, and Side 2; Area of composite shape = BC, AB, and DE2; Area of composite shape = 2 x 7 + 32; Area of composite shape = 14 + 9 = 23 square inches.

As a result, the given composite shape has a 23 square inch surface area.
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Complete question:- What is the area of the composite shape ?

Answer:

the answer is 3 I think but am not sure of the workings

Step-by-step explanation:

Let x = the number of years since the first year and let y = the total number of plants.

Roses: y = 5 + 2x

Tulips: y = 20 – 3x

You can use elimination to solve.

y = 5 + 2x

(-)y = 20 – 3x

0 = -15 + 5x

15 = 5x

3 = x

This means that 3 years after the first year, the number of rose bushes equals the number of tulip plants.

The graphs appear to

intersect at (3, 11) which verifies that x=3

The number of rose bushes will equal the number of tulip plants after 3 years

The given parameters are:

Rose bushes

Tulip bushes

So, the number of rose bushes and tulip bushes each year is:

y = 5 + 2x

y = 20 - 3x

From the graph of both equations, we have:

(x,y) = (3,11)

Hence, the number of rose bushes will equal the number of tulip plants after 3 years

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Answer:

Step-by-step explanation:

Finding solutions in a problem like this requires factoring. That means we need to do whatever we have to to isolate the x term. Of course, we have to do it in order of operations but backwards. Begin by adding 2 to both sides to get

\((x+4)^2=9\) Now we have to undo the squaring on the left by taking the square root of both sides:

\(\sqrt{(x+4)^2}=\) ±\(\sqrt{9}\) Taking the square root of a square cancels out both, and of course the square root of 9 is + or - 3:

x + 4 = ±3

The 2 solutions are

x = -4 + 3 which is -1, and x = -4 - 3 which is -7. Choice (3) is the one you want.