What value of x will make â–³onm similar to â–³srq by the sas similarity theorem? 16 20 25 50

Answer:

594,250 (a)

Step-by-step explanation:

2 sq. miles = 20 deers

1 sq. mile = 20÷2 = 10

59,425 sq. miles = 59,425×10

= 594,250

Answer: 8

Step-by-step explanation:

Fish cannot drown

Three died but they are still in the tank

Answer:

42 strawberries are in each basket. 4 strawberries are left over.

Step-by-step explanation:

To find out how many she put into each basket, you need to divide 256/6. Your answer should 42.6666667. Round down to 42.

To find out how many are left over, multiply 42 x 6. You need to do this to figure out how many strawberries total she used trying to put them evenly into the baskets. Your answer should be 252. Then, you subtract 256 - 252. You do this to find out how many are left over. Your answer is 4.

Answer:

1. 18/800×100%

=2.25%

2. 288/360×100%

=80%

3. 33/132×100%

=25%

4. 18/72×100%

=25%

5. 20/32×100%

=62.5%

6. 55/250×100%

=22%

Answer: 27.33 g water

Step-by-step explanation:

For this problem, we will need to use the equation for heat: q=mCΔT. Since we are given heat, change in temperature, and specific heat, all we have to do is plug them in to find grams.

4000J=m(4.181J/g°C)(100-65°C)              [find change in temperature]

4000J=m(4.181J/g°C)(35°C)    [divide both sides by specific heat and change in temperature]

m=27.33 g

The amount of seismic energy released increases by around 32 times for every whole-number increase in magnitude. In other words, a magnitude 7 earthquake is 32 times stronger than a magnitude 6 earthquake and produces 32 times more energy.

According to Jones, a magnitude 8 earthquake is 1,000 times more energetic than a magnitude 6, but it also spreads out and lasts longer.

In 1906 initially, it was estimated that the accident had claimed the lives of 700 individuals, but the actual death toll is now understood to have topped 3,000. Additionally, about 250,000 people were left homeless; those who survived tented in Golden Gate Park and the dunes west of the city or ran away to nearby cities. Within a short period of time, food and clothing relief shipments arrived in the city, while overseas donors from the Americas, Europe, Japan, and China sent numerous tens of millions of dollars in financial assistance. Despite receiving insurance money in the neighborhood of $300 million, the arduous job of rehabilitation was kept going by the bravery and perseverance of the locals.

A magnitude 6.9 earthquake that struck the San Francisco Bay Area on October 17, 1989, claimed 67 lives and left more than $5 billion in damages. The number of fatalities was very low despite the catastrophe being one of the most damaging and strong earthquakes to ever strike a populous area in the United States. Due to its location close to Loma Prieta Peak in the Santa Cruz Mountains, the event is also referred to as the San Francisco-Oakland earthquake and the Loma Prieta earthquake.

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Answer:

Question 1: b) Find the total distance from A to B

Distance formula:

d=Square root of (x2-x1)^2+(y2-y1)^2+(z2-z1)^2

d=Square root of (6-4)^2+(12-8)^2+(10-2)^2

d= 9.165 = 9.17 units

Answer:

1 a

Use the midpoint formula:

m=x1+x2/2, y1+y2/2, z1+z2/2

m= 4+6/2 ,8+12/2, 2+10/2

m= (5 ,10, 6)

Step-by-step explanation:

Potential energy can be defined as energy that is stored inside an object due to its position or configuration.The potential energy function for f⃗ is given by:-U = α (x^2 / 2)

Given a force vector f⃗ and its corresponding potential energy function u(x,y,z), the force is defined as the negative gradient of the potential energy function. In order to get the potential energy function for f⃗ , we need to integrate force with respect to distance. We know that force is equivalent to the derivative of potential energy with respect to distance, so we can use the fundamental theorem of calculus to solve for u(x).We are given that u=0 when x=0, so we can define our initial condition. Using the above equation, we get:-du/dx = f(x)⇒ du = -f(x)dx Integrating both sides, we get: u(x) = -∫f(x)dx + Cwhere C is a constant of integration. We can solve for C using our initial condition: u(x=0) = 0 = CSo, the potential energy function for f⃗ is:u(x) = -∫f(x)dx + 0Now, we can express f⃗ in terms of α and x, which yields :f⃗ = -αxî where î is the unit vector in the x-direction. Substituting this value for f⃗ into our equation for potential energy function, we get:u(x) = -∫(-αx)dx = 1/2αx² + C.

Therefore, the potential-energy function for f⃗ when u=0 at x=0, and expressed in terms of α and x, is given by u(x) = 1/2αx².

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Answer:

x=9

Step-by-step explanation:

13x-32 and 7x+22 are equal to each other (angles) so

13x-32=7x+22

13x-7x=22+32

6x=54

x=54/6

x=9

The correct value of mn - 2√5 is -4.

To solve this problem, we'll break it down into smaller steps.

Step 1: Find the integer part and decimal part of √5.

The square root of 5 (√5) is approximately 2.23607.

The integer part (m) of √5 is 2.

The decimal part (n) of √5 is 0.23607.

Step 2: Calculate mn.

mn = 2 * 0.23607 = 0.47214.

Step 3: Calculate 2√5.

2√5 = 2 * √5 = 2 * 2.23607 = 4.47214.

Step 4: Calculate mn - 2√5.

mn - 2√5 = 0.47214 - 4.47214 = -4.

Therefore, mn - 2√5 is equal to -4.

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Answer:

Solution = (5, 2)

Step-by-step explanation:

Step 1: Solve for y in 9x + 2y = 49

    1. 9x + 2y = 49 → 2y = -9x + 49 → y = -4.5x + 24.5

Step 2: Substitute -4.5x + 24.5 for y in -3x + 5y = -5

    2. -3x + 5(-4.5x + 24.5) = -5

Step 3: Solve for x

    3. -3x - 22.5x + 122.5 = -5 → -25.5x + 122.5 = -5 → -25.5x = -127.5 → x = 5

Step 4: Substitute 5 for x in -3x + 5y = -5

    4. -3(5) + 5y = -5 → -15 + 5y = -5 → 5y = 10 → y = 2

Hope this helps :)

The exponential model for the given condition is p(t)=200,000(0.0375)^t.

Given that, a house is purchased for $200,000 and its value appreciates by 3.75% per year.

Exponential function, as its name suggests, involves exponents. But note that, an exponential function has a constant as its base and a variable as its exponent but not the other way round (if a function has a variable as the base and a constant as the exponent then it is a power function but not an exponential function).

Now, using an exponential model: p(t)=a⋅b^{t}

Here, a=$200,000 and b=3.75%

p(t)=200,000(0.0375)^t

Hence, the exponential model for the given condition is p(t)=200,000(0.0375)^t.

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The correct options for the given question are: A) g(x) is continuous but not differentiable at a, and C) g(x) is continuous but not differentiable at b.

The function g(x) is defined as the ratio of two definite integrals involving the function f(x). The denominator of the ratio is the integral of f(x) over the interval [a, b],

which represents the total area under the curve of f(x) on the interval [a, b]. The numerator of the ratio is the integral of f(x) over the interval [a, x], which represents the area under the curve of f(x) from a to x.

Option A states that g(x) is continuous but not differentiable at a. This is true because at x = a, the numerator of the ratio becomes zero since the interval [a, x] becomes empty.

This results in a division by zero, which makes g(x) discontinuous at a. However, g(x) is still continuous for all other values of x.

Option C states that g(x) is continuous but not differentiable at b. This is also true because at x = b, the denominator of the ratio becomes zero since the interval [a, b] becomes empty.

This again leads to a division by zero, making g(x) discontinuous at b. However, g(x) is still continuous for all other values of x.

Option B, stating that g(x) is differentiable on R, is not correct. Since g(x) is not differentiable at a and b due to division by zero, it is not differentiable on the entire real line.

Option D, stating that g(x) is continuous and differentiable at either a or b but not both, is not correct either. As explained abve, g(x) is continuous but not differentiable at both a and b.

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Answer:

Random sampling uses specific words for certain things. "Population" means every possible choice. Whether you're choosing numbers, things or people, "population" means "all the possible things I could choose." "Sample," logically enough, means the thing or things you choose from the population to study

Step-by-step explanation:

I believe 5y-1 would work.

The volume of the cylindrical tank is the amount of space in it

The volume of the larger tank is 800 gallons

The volume of the small tank is given as:

v = 100

The volume of a cylinder is:

v = πr²h

For the bigger tank, we have:

V = πR²H

The dimensions are twice the smaller tank. This gives

V = π(2r)² * (2h)

Expand

V = 8πr²h

Substitute v = πr²h in V = 8πr²h

V = 8v

Substitute v = 100 in V = 8v

V = 8 * 100

V = 800

Hence, the volume of the larger tank is 800 gallons

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Hello!

This is a parallelogram. It is a quadrilateral with two pairs of parallel sides. Here, the opposite angles are alternate, that is, they have togheter 180°.

Rhombus

This is a rhombus. It is a quadrilateral whose four sides all have the same length. Here, the diagonals of a rhombus intersect at equal angles.

A rhombus has opposite angles equal and the figure formed by joining the midpoints of the sides of a rhombus is a rectangle, and vice versa. It has an inscribed circle.

Good luck:)

Answer:

\(t^2=9.2\)

Step-by-step explanation:

From the question we are told that

Standard Deviation \(\sigma=28.8\)

Sample space \(n=12\)

\(s^2= 21.6\)

Generally the equation for test statistics is mathematically given by

\(t^2=frac{(n-1)*s^2}{\sigma^2}}\)

\(t^2=\frac{(12-1)*21.6}{25.8}\)

Therefore the standardized test statistics

\(t^2=9.2\)

The probability of the horse winning the race is 4/11 or approximately 0.36 or 36%.

The odds in favor of a horse winning a race is expressed as a ratio of the number of favorable outcomes to the number of unfavorable outcomes. In this case, the odds in favor of the horse winning the race is 4:7.

This means that for every 4 favorable outcomes, there are 7 unfavorable outcomes.

To determine the probability of the horse winning the race, we can use the formula:

Probability = favorable outcomes / total outcomes

In this case, the total number of outcomes is the sum of the favorable and unfavorable outcomes, which is 4 + 7 = 11.

Therefore, the probability of the horse winning the race is:

Probability = 4 / 11

This means that the horse has a probability of approximately 0.36 or 36% of winning the race.

In summary, the odds in favor of a horse winning a race of 4:7 means that there are 4 favorable outcomes for every 7 unfavorable outcomes.

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Answer:

measurement of angle 2 is 111 degrees

measurement of angle 3 is 69 degrees

measurement of angle 4 is 111 degrees

According to the given function, we can throw it to the height of 6.6 m.  So, yes we can throw it high enough to reach the ledge.

The given equation is quadratic. A quadratic equation is defined as an equation of a single variable with the highest power of 2. In general, the quadratic equation can be expressed as h(x)= \(ax^2- bx + c\), where a, b and c are arbitrary constants. The solution for a quadratic equation is given by:

\(x=\frac{-b\pm\sqrt{b^2-4ac} }{2a}\)

The maximum of a quadratic equation is given by:

= \(c-\frac{b^2}{4a}\)

The length to be covered by throwing=6 meters

It is given that the height of the grappling hook you throw is a function h(t) = -4.9t² + 10t + 1.5

Here a =4.9, b = 10 and c = 1.5

The maximum of a quadratic equation is given by:

\(c-\frac{b^2}{4a}\)

\(1.5-\frac{10^2}{4*(-4.9)}\)

6.6

A throw can be made to reach the wall since the height of wall is less than the maximum value that is 6.6 m.

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Answer:

ইহেবে জেজে জেহব ইঞ্জিন জেবি জেজেবেজে jeiehbbr রুরুরব এভে

The quadrilateral WXYZ is not a square using the distance formula

From the question, we have the following parameters that can be used in our computation:

W(-1,1),X(3,4),Y(6,0) and Z(2,3)

The lengths of the sides can be calculated using the following distance formula

Length = √[Change in x² + Change in y²]

Using the above as a guide, we have the following:

WX = √[(-1 - 3)² + (1 - 4)²] = 5

XY = √[(3 - 6)² + (4 - 0)²] = 5

YZ = √[(6 - 2)² + (0 - 3)²] = 5

ZW = √[(2 + 1)² + (3 - 1)²] = 13

The sides that are congruent are WX, XY and YZ

This means that WXYZ is not a square

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The probability that a pupil uses neither pool nor gym is 11/70

Probability is the likelihood that an event will happen. This can range from an event being impossible to some likelihood to being absolutely certain. In math terms, probability is on a scale from 0 to 1. Zero means the event is impossible, like rolling a seven on a die that only has digits from 1 to 6.

Number of pupil that can use pool and gym = 28

Number of people that can use pool = 48

Number of people that can use gym = 39

Number of people that can use pool only = 48 - 28 which is 20

Number of people that can use gym only = 39 - 28 = 11

Total number of persons that can use either pool, gym or both = 20 + 11 + 28 which is 59

Number of people that cannot use either or both of the facilities = 70 - 59 which is 11.

Probability = required outcome / possible outcome

Required outcome = 11

possible outcome = 70

Probability = 11/70

In conclusion, the probability that a pupil uses neither swimming pool nor gym is 11/70

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Answer:

5.35

Step-by-step explanation:

5.3+5.4/2

10.7/2

5.35