A virus is spreading around Dover. At the moment, 310 people are infected. If the virus is spreading at a rate of 10% each day, how many people in all will have caught the virus in 14 days?

Answer:

x=10

Step-by-step explanation:

Horizontal translation: 2 units right.

Vertical translation: 5 units up

Stretch/compression: stretched by a factor of 3.

Reflection: not reflected.

Answer:

10

Step-by-step explanation:

round it by 2 and there you go!

Answer:

y = \(\frac{3}{2}\) x + 9

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Calculate m using the slope formula

m = \(\frac{y_{2}-y_{1} }{x_{2}-x_{1} }\)

with (x₁, y₁ ) = (- 2, 6 ) and (x₂, y₂ ) = (2, 12 )

m = \(\frac{12-6}{2-(-2)}\) = \(\frac{6}{2+2}\) = \(\frac{6}{4}\) = \(\frac{3}{2}\) , then

y = \(\frac{3}{2}\) x + c ← is the partial equation

To find c substitute either of the 2 points into the partial equation.

Using (2, 12 ) , then

12 = 3 + c ⇒ c = 12 - 3 = 9

y = \(\frac{3}{2}\) x + 9 ← equation of line

The measure of the angles are;

X = 38 degrees

Y = 52 degrees

To determine the angles, we need to know the properties of a kite.

These properties includes;

Then, we can say that;

Y= 52 degrees

Note that the sum of the angles in a triangle is 180

Then, we get;

X + Y+ 90 = 180

X = 180 - 142

Subtract the values

X = 38 degrees

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$35

He would need $35 to buy 7 pizzas because if you divide 25 and 5, you would get 5.

5+5+5+5+5+5+5=35

5x7=35

Answer:

$35

Step-by-step explanation:

So basically to find the unit price we need to craft an equation. Lets imagine one pizza is p.

We can craft this equation:

5p = 25

Divide both sides by 5

p = 5

How we just multiply that unit price by 7 to get 35, which is the answer

I put a lot of thought and effort into my answers, so I would really appreciate a Brainliest!

Answer:

Median: 8

Minimum: 3

Maximum: 15

First quartile: 6

Third quartile: 12.5

Interquartile Range: 6.5

Outliers: none

Step-by-step explanation:

Mena will finish on her last piece of equipment at 4:45 pm.

The possible orders in which Mena could use the four pieces of equipment are:

STBR, SBTR, SRBT, SRTB, BSTR, BTSR, BRST, BRTS, RSTB, RBTS, RTSB, RTBS

If Mena has a 3 minute break between each piece of equipment and she spends 11 minutes on the stepper, 15 minutes on the treadmill, 48 minutes on the bike, and 1 hour and 25 minutes on the rower, she will finish on her last piece of equipment at:

After 11 minutes on the stepper, the time will be 2:08 pm.

After 3 minute break, the time will be 2:11 pm.

After 15 minutes on the treadmill, the time will be 2:26 pm.

After 3 minute break, the time will be 2:29 pm.

After 48 minutes on the bike, the time will be 3:17 pm.

After 3 minute break, the time will be 3:20 pm.

After 1 hour and 25 minutes on the rower, the time will be 4:45 pm.

So, Mena will finish on her last piece of equipment at 4:45 pm.

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Answer:

the simplified expression for 2x + 1/3 + 4x - 2/2 is 6x - 2/3.

Step-by-step explanation:

To solve the expression 2x + 1/3 + 4x - 2/2, we need to combine like terms and simplify the expression.

First, let's combine the terms with the same variable, which are 2x and 4x:

2x + 4x = 6x

Next, let's simplify the fractions. We need to find a common denominator for 1/3 and 2/2, which is 6. We'll rewrite the fractions with the common denominator:

1/3 = 2/6

2/2 = 6/6

Now, let's rewrite the expression with the combined terms and simplified fractions:

6x + 2/6 - 6/6

Next, subtract the fractions with the same denominator:

6x + (2/6 - 6/6)

The numerator of the first fraction (2/6) needs to be subtracted from the numerator of the second fraction (6/6). This gives us:

6x + (-4/6)

Simplify the fraction:

6x - 4/6

Now, we can simplify further by dividing both the numerator and denominator of the fraction by their greatest common divisor, which is 2:

6x - 2/3

Therefore, the simplified expression for 2x + 1/3 + 4x - 2/2 is 6x - 2/3.

Overall, consulting multiple sources is an important part of conducting research and ensuring the accuracy and credibility of the information you use in your reports.

Probability is a measure of the likelihood or chance of an event occurring. It is expressed as a number between 0 and 1, where 0 indicates that the event is impossible and 1 indicates that the event is certain to occur. In between 0 and 1, probabilities are often expressed as fractions, decimals, or percentages. Probability theory is widely used in fields such as mathematics, statistics, physics, engineering, finance, and more to analyze and understand random events and phenomena.

Here,

It is important to determine if other sources are making the same claims and citing the same statistics for several reasons:

Ensuring accuracy: By consulting multiple sources, you can verify the accuracy of the claims and statistics provided in the original article. This can help you avoid relying on potentially biased or misleading information.

Assessing credibility: If other reputable sources are also making similar claims and citing the same statistics, it can increase the credibility of the information. On the other hand, if other sources are not making the same claims or are citing conflicting statistics, it may indicate that the original article is unreliable.

Providing context: By consulting multiple sources, you can gain a broader understanding of the topic at hand and the various factors that may be influencing the claims and statistics. This can help you provide more nuanced and accurate information in your report.

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Answer:

Open circle

to the right

Step-by-step explanation:

Given:

Volume of cubical tank = \(\dfrac{1000}{125}\) cubic meters.

To find:

The length of a side of the water tank.

Solution:

The volume of a cubical tank is:

\(V=a^3\)

Where, a is the side length.

It is given that the volume of cubical tank is \(\dfrac{1000}{125}\) cubic meters. So,

\(a^3=\dfrac{1000}{125}\)

\(a^3=\dfrac{(10)^3}{5^3}\)

Taking cube root on both sides, we get

\(a=\dfrac{10}{5}\)

\(a=2\)

Therefore, the length of a side of the water tank is 2 meters.

Answer:

I can't see the images so if you can attach a link i will do it

Step-by-step explanation:

Answer:

x = 3

Step-by-step explanation:

7/x - 3/(2x) + 7/6 = 9/x

x(7/x  - 3/(2x)  + 7/6) = x(9x)

x*7/x  - 3*x/(2x) + x*7/6 = x*9x

7 - 3/2 + 7x/6 = 9

7x/6 = 9 - 7 + 3/2

7x/6 = 2 + 3/2

7x/6 = 12/6 + 9/6

7x = 12+9

7x = 21

x = 21/7

x = 3

probe:

7/3 - 3/(2*3) + 7/6 = 9/3

14/6 - 3/6 + 7/6 = 3

(14 - 3 + 7) / 6 = 3

18/6 = 3

Explanation:

Step 1. We have a piecewise function defined for certain x value intervals.

for x values between -4 and -1, the definition is:

To graph this, we compare it with the general line function

where m is the slope (the rate of change of the line) and b is the y-intercept. In this case, for f(x)=x+6, the slope is m=1, and the y-intercept is 6, if we were to graph this line in the whole plane, it would look as follows:

But since this is just the definition of the function for the values between -4 and -1, the result is:

Step 3. Now we consider the second definition of the function:

Comparing it with the general line function

where m is the slope (the rate of change of the line) and b is the y-intercept.

Here in f(x)=-2x+7, the slope is m=-2, and the y-intercept is b=7, which means that the line is decreasing at a rate of -2, and that it crosses the y-axis at 7.

If we were to graph this line in the whole plane, it will look as follows (in blue):

But since that is the definition of the function only for the interval from -1 to 5, we only consider the line for that specific x-interval, we represent the point at -1 with an open circle and at 5 with a filled circle to represent that 5 is included in the segment:

Answer:

The values of x that would result in the given expression being equal to 0 is -2, 6

Given the following expression

f(x) = (x-6)(x+2)

If the function f(x) = 0, then;

(x-6)(x+2) = 0
x - 6 = 0 and x + 2 = 0

Determine the value of  x

x = 6 and x = -2

Hence the values of x that would result in the given expression being equal to 0 is -2, 6

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The selection depends on individual needs, preferences, and the intended use of the tiny house.

a) To find the amount of space inside each house, we need to calculate the volume for each design.

House on the left:

Volume = length x width x height = 2.5 m x 18 m x 2.8 m = 126 m³

Triangular house:

Volume of a triangular prism = (base area x height) / 2

Base area = (1/2) x base x height = (1/2) x 4 m x 10 m = 20 m²

Volume = (20 m² x 7 m) / 2 = 70 m³

b) When comparing the environmental impacts of each house, several factors need to be considered:

Positive impacts:

1. Material usage: Tiny houses use fewer materials, reducing resource consumption and waste generation.

2. Energy efficiency: Smaller living spaces require less energy for heating, cooling, and lighting, leading to lower energy consumption.

3. Land utilization: Tiny houses can be built on smaller plots of land, preserving green spaces and reducing urban sprawl.

Negative impacts:

1. Construction materials: Although tiny houses use less material overall, the environmental impact depends on the types of materials used. Sustainable and eco-friendly materials should be prioritized.

2. Water and waste management: Adequate provisions for water supply and waste disposal should be implemented to minimize environmental impacts.

3. Transportation: The transportation of tiny houses to their locations can contribute to carbon emissions if not done efficiently.

c) The choice of design for a tiny house depends on personal preferences and priorities. However, considering the provided information:

The house on the left offers a larger interior space of 126 m³, providing more room for living and storage. It may be suitable for individuals or couples who desire more space and functionality within their tiny house.

The triangular house has a smaller interior volume of 70 m³ but offers a unique design and aesthetic appeal. It may be preferred by individuals who prioritize a distinctive architectural style or who are looking for a minimalist and cozy living space.

Ultimately, the selection depends on individual needs, preferences, and the intended use of the tiny house. Factors such as lifestyle, desired amenities, and personal values regarding sustainability and resource conservation should be considered when making the final decision.

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Answer:

Step-by-step explanation:

X<2

The congruence relation is used to define residue classes.

Congruence is an important idea in algebra that is often used to describe equivalence classes of integers modulo some integer n. A congruence relation on a set of integers is a binary relation that reflects equality modulo some integer n. Specifically, if a and b are two integers, then we say that a is congruent to b modulo n, or a ≡ b (mod n), if a - b is divisible by n.

The congruence relation is used to partition the set of integers into equivalence classes that are referred to as residue classes. Each residue class is represented by a single integer that is congruent to all the other integers in the class. In other words, a residue class is a collection of integers that have the same remainder when divided by n. There are exactly n residue classes modulo n, each of which is represented by a unique integer from 0 to n-1. Residue classes are used extensively in number theory and algebraic geometry, where they are used to study systems of equations and algebraic curves.

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To prove that triangle FGE and triangle IJH we need information like the two sides of each triangle and the included angle to be congruent.

To prove two triangles are similar by the SAS is that you need to show that two sides of one triangle are proportional to two corresponding sides of another triangles, with the included corresponding angles being congruent.

For the SAS postulate you need two sides and the included angle in both triangles.

Side-Angle-Side (SAS) postulate:-

If two sides and the included angles of one triangle are congruent to two sides and the included angle of a second triangle, then the two triangles are congruent. SAS postulate relate two triangles and says that two triangles are congruent if two sides and the included angle of one triangle are congruent to two sides and the included angle of another triangle.

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Answer:

15 and 270

Step-by-step explanation:

using the property of radicals

(\(\sqrt{x}\) )² = x and (\(\sqrt[3]{x}\) )³ = x

then

(\(\sqrt{5}\) )² × (\(\sqrt{3}\) )² = 5 × 3 = 15

(\(\sqrt[3]{9}\) )³ × (\(\sqrt{30}\) )² = 9 × 30 = 270

Lohi Corp.'s expected capital gains yield over the next year is 0.48%.

To determine the price of lohi corp., we need to calculate the present value of its future dividends. First, we estimate that the company will skip the next three annual dividends. This means that we will start receiving dividends from the fourth year. The first dividend to be paid is $1.00, and subsequent dividends will grow at a constant rate of 6 percent per year. The required rate of return on lohi corp. is 14 percent per year. This is the rate of return that investors expect to earn from investing in the company.

To calculate the price of Lohi Corp., we need to use the dividend discount model (DDM). The DDM formula is:

Price = Dividend / (Required rate of return - Dividend growth rate)

In this case, we know that Lohi Corp. will skip its next three annual dividends and then resume paying a dividend of $1.00. The dividend growth rate is 6% per year, and the required rate of return is 14% per year.

First, let's calculate the present value of the future dividends:

PV = (1 / (1 + Required rate of return))^1 + (1 / (1 + Required rate of return))^2 + (1 / (1 + Required rate of return))^3

PV = (1 / (1 + 0.14))^1 + (1 / (1 + 0.14))^2 + (1 / (1 + 0.14))^3

PV = 0.877 + 0.769 + 0.675

PV = 2.321

Next, let's calculate the price:

Price = (Dividend / (Required rate of return - Dividend growth rate)) + PV

Price = (1 / (0.14 - 0.06)) + 2.321

Price = (1 / 0.08) + 2.321

Price = 12.5

Therefore, the price of Lohi Corp. should be $12.50.

To calculate the expected capital gains yield over the next year, we need to use the formula:

Capital gains yield = (Dividend growth rate) / (Price)

Capital gins yield = 0.06 / 12.5

Capital gains yield = 0.0048

Convert to percentage:

Capital gains yield = 0.0048 * 100

Capital gains yield = 0.48%

Therefore, Lohi Corp.'s expected capital gains yield over the next year is 0.48%.

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Lohi Corp.'s expected capital gains yield over the next year is 0.48%.

To determine the price of lohi corp., we need to calculate the present value of its future dividends. First, we estimate that the company will skip the next three annual dividends. This means that we will start receiving dividends from the fourth year. The first dividend to be paid is $1.00, and subsequent dividends will grow at a constant rate of 6 percent per year. The required rate of return on lohi corp. is 14 percent per year. This is the rate of return that investors expect to earn from investing in the company.

To calculate the price of Lohi Corp., we need to use the dividend discount model (DDM). The DDM formula is:

\(Price = Dividend / (Required rate of return - Dividend growth rate)\)

In this case, we know that Lohi Corp. will skip its next three annual dividends and then resume paying a dividend of $1.00. The dividend growth rate is 6% per year, and the required rate of return is 14% per year.

First, let's calculate the present value of the future dividends:

\(PV = (1 / (1 + Required rate of return))^1 + (1 / (1 + Required rate of return))^2 + (1 / (1 + Required rate of return))^3\)

\(PV = (1 / (1 + 0.14))^1 + (1 / (1 + 0.14))^2 + (1 / (1 + 0.14))^3\)

\(PV = 0.877 + 0.769 + 0.675\)

PV = 2.321

Next, let's calculate the price:

\(Price = (Dividend / (Required rate of return - Dividend growth rate)) + PV\)

\(Price = (1 / (0.14 - 0.06)) + 2.321\)

Price = (1 / 0.08) + 2.321

Price = 12.5

Therefore, the price of Lohi Corp. should be $12.50.

To calculate the expected capital gains yield over the next year, we need to use the formula:

\(Capital gains yield = (Dividend growth rate) / (Price)\)

\(Capital gins yied = 0.06 / 12.5\)

Capital gains yield = 0.0048

Convert to percentage:

Capital gains yield = 0.0048 * 100

Capital gains yield = 0.48%

Therefore, Lohi Corp.'s expected capital gains yield over the next year is 0.48%.

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Answer:

Translation of 4 units to the right and 2 units down

Hope this helps!

the translation is 4 units to the right and 2 down

Answer:

hyperbola?

\(\frac{(y+4)^{2} }{36}\) - \(\frac{(x-6)^{2} }{49}\) =1

Enter your answer in point-slope form by filling in the boxes. Enter the slope as a simplified fraction.

Answer:

3628800 ways if the women are always required to stand together.

To solve this problem, we can consider the number of ways to arrange the women and men separately, and then multiply the results together.

First, let's consider the arrangement of the women. Since no two men can be seated next to each other, the women must be seated in between the men. We can think of the 5 men as creating 6 "gaps" where the women can be seated (one gap before the first man, one between each pair of men, and one after the last man).

Out of these 6 gaps, we need to choose 7 gaps for the 7 women to sit in. This can be done in "6 choose 7" ways, which is equal to the binomial coefficient C(6, 7) = 6!/[(7!(6-7)!)] = 6.

Next, let's consider the arrangement of the 5 men. Once the women are seated in the chosen gaps, the men can be placed in the remaining gaps. Since there are 5 men, this can be done in "5 factorial" (5!) ways.

Therefore, the total number of ways to seat the 5 men and 7 women is 6 * 5! = 6 * 120 = 720.

There are 720 ways to seat the 5 men and 7 women in a row such that no two men are next to each other.

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A sphere thrown upward at a 45-degree angle to the horizontal in a classroom elastically bounces off the ceiling while still rising

At time t = 0, a sphere is launched with an initial velocity at a 45-degree angle to the horizontal in a classroom. The sphere follows a parabolic trajectory as it rises due to the upward component of its initial velocity and experiences the downward pull of gravity. While the sphere is still ascending, it reaches the ceiling and collides with it.

During the elastic collision, the sphere's motion is reversed. It rebounds off the ceiling, changing its direction but maintaining its kinetic energy. As a result, the sphere starts descending with the same speed it had before the collision but in the opposite direction. The angle of descent will also be 45 degrees to the horizontal, mirroring the angle of the initial launch.

Throughout the entire process, neglecting air resistance, the total mechanical energy of the sphere is conserved since the collision with the ceiling is elastic.

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The total cost of the apples would be $3.50 given that Tina and her friend picked 2.5 pounds of apples. So, the apples would cost $3.50.

The cost of the apples can be calculated by multiplying the weight of the apples by the cost per pound.

In this case, Tina and her friend picked 2.5 pounds of apples.

To find the cost, we need to multiply the weight (2.5 pounds) by the cost per pound ($1.40).

Therefore, the total cost of the apples would be 2.5 pounds * $1.40/pound = $3.50.

So, the apples would cost $3.50.

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The general solution to the differential equation is y = [-(1/4)x^2 - (1/3)x + (C/4)]^(1/3).

To solve 2yy' + x^2 + y^2 + x = 0 using an appropriate substitution, we can substitute u = y^2. Taking the derivative of u with respect to x, we get du/dx = 2yy'. We can then rewrite the original equation as 2(u^(1/2))(du/dx) + x^2 + u + x = 0.

This is now a separable differential equation, where we can move the u term to the right side and the x terms to the left side: 2(u^(1/2))du/u = -(x^2 + x)dx. Integrating both sides, we get 4/3u^(3/2) = -(1/3)x^3 - 1/2x^2 + C, where C is the constant of integration.

Substituting back u = y^2, we get 4/3y^3 = -(1/3)x^3 - 1/2x^2 + C.

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