If you wanted to safely climb a 50-foot wall, what’s the shortest ladder you’d be willing to use? Explai

True. the empty set (or null set) is a subset of every set

In mathematics, a set is a collection of objects or elements. A null set or empty set is a set that contains no elements. It is denoted as ∅ = { }. The intersection of two disjoint sets -- two sets that contain no elements in common -- is the null set.

The empty set, denoted by ∅ or {}, is considered a subset of every set. This is because every element in the empty set is also an element of any other set. In other words, the empty set does not contain any elements that could contradict its inclusion in another set. Therefore, it is true to say that the empty set is a subset of every set.

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Answer: it is called a parabola

Step-by-step explanation:

Answer:

Step-by-step explanation:

Cos(x)=18/44=0.41

x=65.85

[1] 11

    This is basic addition.

-14 + 25 = 11

[2] 186 in²

    We will break the shape up into two different pieces. See attached.

    The area of a rectangle can be found with A = L * W.

A = L * W

A = (27 in) * (3 in) = 81 in²

-

A = L * W

A = (15 in) * (7 in) = 105 in²

    Now, we will add the two parts together.

81 in² + 105 in² = 186 in²

The equation or system of equations that can be used to determine the number of cats and dogs Bea has in her pet shop is d = 2c - 5 d + 3 = c + 3. We can solve the system of equations using substitution and plug it back into either equation to find the value of d, which is 8 cats and 10 dogs.

The equation or system of equations that can be used to find the number of cats and dogs Bea has in her pet shop is:

d = 2c - 5

d + 3 = c + 3

No, Bea's Pet Shop could not initially have 15 cats and 20 dogs. This is because the equation or system of equations states that the number of dogs is five less than twice the number of cats, which would mean that 15 cats would result in 25 dogs, which is not equal to 20.

To determine algebraically the number of cats and the number of dogs Bea initially had in her pet shop, we can use the equation or system of equations that we previously created.

d = 2c - 5

d + 3 = c + 3

We can solve the system of equations using substitution:

d = 2c - 5

d + 3 = c + 3

d + 3 = c + 3

d = c + 3

2c - 5 = c + 3

2c = c + 8

c = 8

Once we determine the value of c, we can plug it back into either equation to find the value of d:

d = 2(8) - 5

d = 15 - 5

d = 10

Therefore, Bea initially had 8 cats and 10 dogs in her pet shop.

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The complete question is: At Bea's Pet Shop, the number of dogs, d, is initially five less than twice the number of cats, c. If she decides to add three more of each, the ratio of cats to dogs will be – Write an equation or system of equations that can be used to find the number of cats and dogs Bea has in her pet shop. Could Bea's Pet Shop initially have 15 cats and 20 dogs? Explain your reasoning. Determine algebraically the number of cats and the number of dogs Bea initially had in her pet shop.​

the required equation for the translation y = 2sin x, π/4 units to the right is; y = 2sin (x-π/4)

The given function is y = 2sin x. π/4 units to the right can be considered as a translation. To write an equation for the given translation, the formula to be used is f(x-a)

For translating the function y = 2 sin x, π/4 units to the right, the following steps can be followed: The general formula is; f(x-a) For the given function, a = π/4 (as the function needs to be translated π/4 units to the right).

The equation becomes; y = 2 sin (x-π/4) Therefore, the required equation for the translation y = 2sin x, π/4 units to the right is; y = 2sin (x-π/4). For the given function, a = π/4 (as the function needs to be translated π/4 units to the right).

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Given that tan θ = -4/7 and tan θ > 0, we can find cos θ by using the following steps: Since tan θ > 0, we know that θ is in Quadrant 1. In Quadrant 1, sin θ and cos θ are both positive.

We can use the Pythagorean identity, sin^2 θ + cos^2 θ = 1, to solve for cos θ.Plugging in tan θ = -4/7, we get cos^2 θ = 1 + (-4/7)^2 = 65/49.Taking the square root of both sides, we get cos θ = √65/7. Since tan θ > 0, we know that θ is in Quadrant 1.

In Quadrant 1, the angle is between 0 and 90 degrees. This means that the sine and cosine of the angle are both positive. In Quadrant 1, sin θ and cos θ are both positive. This can be seen from the unit circle. The unit circle is a circle with a radius of 1. The sine of an angle is the ratio of the y-coordinate of a point on the circle to the radius, and the cosine of an angle is the ratio of the x-coordinate of a point on the circle to the radius. In Quadrant 1, both the y-coordinate and the x-coordinate of a point on the circle are positive, so both the sine and cosine of the angle are positive.

We can use the Pythagorean identity, sin^2 θ + cos^2 θ = 1, to solve for cos θ. The Pythagorean identity is a trigonometric identity that states that the square of the sine of an angle plus the square of the cosine of an angle is equal to 1. We can use this identity to solve for cos θ by rearranging the equation as follows:

cos^2 θ = 1 - sin^2 θ

Plugging in tan θ = -4/7, we get cos^2 θ = 1 + (-4/7)^2 = 65/49.Taking the square root of both sides, we get cos θ = √65/7. Therefore, the value of cos θ is √65/7. Find cos θ, given that tan θ = -4/7 and tan θ > 0.

A) √65/4 B) -√65/7 C) 7√65/65 D) -7√65/65

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Answer:

The cost of 10 bottles of water is $2.5.

Step-by-step explanation:

24/6=10/x

simplify 24/6 into 4,

4=10/x

x=10/4=5/2

Answer:

(2 · p) - 9

Step-by-step explanation:

p is unkown.

Expression: (2 · p) - 9

Find p in order to solve the expression.

A can of tuna weighs approximately 6 ounces, but to convert this measurement into grams, we need to understand the conversion factor between ounces and grams.

There are 28.3495 grams in an ounce. To find the number of grams in 6 ounces, we multiply 6 by 28.3495:

6 ounces  28.3495 grams/ounce = 170.097 grams

Therefore, a can of tuna weighs approximately 170 grams.

The conversion factor is derived from the relationship between the metric system (grams) and the imperial system (ounces).

The conversion factor is a constant value used to convert between different units of measurement.

In this case, the conversion factor of 28.3495 grams per ounce allows us to convert the weight of the tuna can accurately from ounces to grams.

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Answer:

2x + 10

_______

x^3 - 4x

Step-by-step explanation:

this is the answer

Answer:

is the ratio of the circumference of any circle to the diameter of that circle.

Step-by-step explanation:

Answer:

178 m^2 first question answer by adding area of 2 rectangles,triangle

2nd question answer is x = 18 by using  similarity formula

and last one answer is 11 ft which is obtained by finding circumference of wheel pi * Diameter = 3.14*140 and then divided by (3.14*140)/40 cars = 10.99 ft == 11 ft

Step-by-step explanation:

Answer:

All your answers were correct!

Step-by-step explanation:

For the first problem, find the area of each part. The area of the rectangles would be (16m*8m) + (5m*6m) = 128m²+30m² = 158m². Next, tacking on the area of the triangle, then we have 158m² + (8m*5m)/2 = 158m²+20m² = 178m², so the first option is correct. Good job on getting it right!

For the second problem, assuming the parallelograms are similar, then we can set up a proportional equation to find the missing side, x:

12/x = 16/24

12*24 = 16x <-- Cross-Multiply

288 = 16x

18 = x

Looks like you got it correct again, good job!

For the third problem, it helps to first find the circumference of the Ferris wheel, which would be 2πr = 2(3.14)(140ft/2) = 439.6ft approximately. Now, since there are 40 cars, then the circumference can be split into 40 equal parts, so the distance between each one would be 439.6ft/40 = 10.99ft, which is basically 11ft. Hence, you got this one correct too, good job!

Hope the answers and explanations helped!

Answer:

answer [-19]d + [4]p +[2]

Answer:

\(-9d-4p-6-10d+8=-19d-4p+2\)

Step-by-step explanation:

\(-9d-4p-6-10d+8\)

\(=-9d-10d-4p-6+8\)

\(=-19d-4p-6+8\)

\(=-19d-4p+2\)

So the answer would be -19d-4p+2

hopefully this helps you ~

The ounces of coffee the patient have each day is 24 oz.

A difference among starting and final numbers is the percentage drop. It displays a percentage loss of value compared to the original regardless of the units. The difference between the initial and final amounts is the amount of decline.

Some characteristics of percentage change are-

Calculation for the coffee that the patient consume each day,

Determination for the coffee he consumes daily.

4 cups x 8 oz = 32 oz

Now, multiply the outcome by the decimal equivalent of the percentage (i.e., 25% = 25/100).

32 x (25/100) = 8

Finally, remove the percentage from the weekly coffee consumption.

32-8 = 24 oz per day

Therefore, the consumption of the coffee by the patient reduced to 24 oz per day from 32 oz per day.

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Answer:

(2x + y)(2x - y - 1)

Step-by-step explanation:

4x² - y² - 2x - y

4x² - y² is a difference of squares and factors in general as

a² - b² = (a - b)(a + b) , then

4x² - y²

= (2x)² - y²

= (2x - y)(2x + y)

expression is now

(2x - y)(2x + y) - (2x + y) ← factor out (2x + y) from each term

= (2x + y)(2x - y - 1)

Answer:

One solution

Step-by-step explanation:

By using the Cauchy-Riemann equations on a real-valued function, it can be proven that the function f(z) is constant in the domain D. This is important for understanding analytic functions in complex analysis.

To prove that if f(z) is real-valued for all z in D, then f(z) must be constant throughout D, let a function f be analytic everywhere in a domain D. We know that a real-valued function is said to be a function whose values lie on the real line. In the case of the complex plane, a function whose values lie on the real line is real-valued.

The Cauchy-Riemann equations, which define the necessary conditions for a function f(z) to be analytic in a domain, say that the imaginary component of f(z) is determined by its real component.

To be more precise, if f(z) is real-valued for all z in D, then we can say that:u(x, y) = f(z),v(x, y) = 0

By definition, the Cauchy-Riemann equations can be stated as:

∂u/∂x = ∂v/∂y∂u/∂y = -∂v/∂x

Taking the first equation, we get:

∂u/∂x = ∂v/∂y => ∂v/∂y = 0

Since v is equal to 0 for all values of x and y, the above equation reduces to ∂u/∂x = 0, which implies u is constant with respect to x.

Similarly, taking the second equation, we get:

∂u/∂y = -∂v/∂x => ∂u/∂y = 0

Since u is equal to a constant for all values of x and y, the above equation reduces to ∂v/∂y = 0, which implies v is constant with respect to y. Since u and v are both constant with respect to their respective variables, u + iv = f(z) is a constant with respect to z throughout the domain D. Thus, we have proved that if f(z) is real-valued for all z in D, then f(z) must be constant throughout D.

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The amount of rain the city received in July is r = 2.5 inches

Given data ,

City received 3/4 inch of rain on July 31

Now , it represents 3/10 of the total amount of rain this to received in July

So , the equation is represented as A

Now , the value of A is

( 3/10 )r = 3/4

Multiply by 10 on both sides , we get

3r = 30/4

Divide by 3 on both sides , we get

r = 30/12

r = 2.5 inches

Hence , the city received 2.5 inches of rain

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Answer:

Explanation:

We want to find what percent of 75 is 80;

to get that we will divide 80 by 75 and multiply by 100%.

Therefore, 80 is 106.67% of 75.

Answer:

85%

Step-by-step explanation:

just because thats the answer

Answer:

22 bagssss i am right because i did 4 time 4 times 1 and got 16 and then i divided that by 0.75 and got 21.33333 and since you can't get a 0.3333333 of a bag you have to get one extra so it would be 22

Step-by-step explanation:

The nearest hundredth of a meter, the length of path BC is roughly 1436.07 meters .

The Sine Rule, commonly referred to as the Law of Sines, is a formula used to compute the lengths of triangles' sides and the measurements of their angles. the following is the rule:

For any triangle ABC that has sides a, b, and c that are, respectively, across from A, B, and C's angles:

Sine of a = b     Sine of B = c Sine of C

Three straight sides and three angles make up the geometric shape of a triangle. It has a closed shape, which means that all of its sides and angles make a full circle.

Triangles come in a wide variety of shapes, but the following are the most typical:

Equilateral triangle -  A triangle with three equal sides and three equal angles of 60 degrees each is an equilateral triangle.

Isosceles triangle - A triangle with two equal sides and two equal angles perpendicular to those sides is an isosceles triangle.

Scalene triangle - A triangle with three distinct sides and three distinct angles is referred to as a scalene triangle.

Right triangle - Triangle having a right angle is referred to as a right triangle. (90 degrees).

According to question , Tarzan begins from point A on the road, travels 900 meters along route AB, makes a 98-degree turn at point B, and then returns to the road at position C after walking down track BC.

We are looking for the BC trail's length.

The law of sines can be used to calculate BC.

sin(47°)   sin(98°)

--------  = --------

   AB            BC

sin(47°) BC = AB sin(98°)

BC = AB sin(47°) sin(98°)

Since . we already know that AB is 900 meters, we can calculate BC by simply plugging in the numbers for sin(98°) and sin(47°):

BC is equal to 900 * sin(98°)/sin(47°).

Calculating, we obtain: BC ≈  1436.07 meters

So, to the nearest hundredth of a meter, the length of path BC is roughly 1436.07 meters.

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There is not enough evidence

An indicator of how much a group of numbers vary or are dispersed is the standard deviation. [1] When the standard deviation is low, the values are more likely to fall within a narrow range, also known as the expected value, whereas when the standard deviation is high, the values tend to be closer to the mean.

For  1.5 moles substrate concentration per liter

Reaction ( n2 ) = 15 runs

average velocity ( x2 ) = 7.5 micromoles per 30 minutes

standard deviation ( s2 ) = 1.5

For 2.0 moles substrate concentration per liter

Reaction( n1 ) = 12 runs

(x1) = 8.8 micromoles on average per 30 minutes

standard deviation ( s1 )  = 1.2

Show Reason to believe that this increase in substrate conc causes an increase in mean velocity

Hypothesis test

H0 : μ1 - μ2 = 0.5

H1 : μ1 - μ2  > 0.5

significance level ( ∝) = 0.01

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Answer:

D

Step-by-step explanation:

Answer

d i think

Step-by-step explanation:

Given:

y-√2-2

Required:

To calculate which option is correct

Explanation:

A shift 5 units to the left, shift 2 units downwards.

Required answer:

Option C

Using the given information, the density of metal B is 8.58 g/cm³

From the question, we are to determine the density of metal B

From the given information,

55 g of metal A is combined with metal B to create an alloy with mass 90 g

∴ Mass of metal B in the alloy = 90 g - 55 g = 35 g

Now, we will determine the volume of metal A in the alloy

Using the formula,

Density = Mass / Volume

∴ Volume = Mass / Density

Volume of metal A in the alloy = 55/12.7

Volume of metal A in the alloy = 4.33 cm³

Then, we will determine the volume of the alloy

Volume of the alloy = 90/10.7

Volume of the alloy = 8.41 cm³

∴ Volume of metal B in the alloy = 8.41 cm³- 4.33 cm³

Volume of metal B in the alloy = 4.08 cm³

Now, for the density of metal B

Density = mass / volume

Density of metal B = 35 / 4.08

Density of metal B = 8.58 g/cm³

Hence, the density of metal B is 8.58 g/cm³.

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