what is 2 to the power of 2 multiply 5​

The length of AC in triangle BAC is equal 10.7 units

In trigonometry, the cosine rule says that the square of the length of any side of a given triangle is equal to the sum of the squares of the length of the other sides minus twice the product of the other two sides multiplied by the cosine of angle included between them.

The formula is given as

AC² = AB² + BC² - 2(AB)(BC) cos AC

AC² = 6² + 7² - 2(6)(7)cos110

AC = 10.7

Using cosine rule, the length of AC is 10.7 unit.

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Answer:

slope of CE is 2/3

Step-by-step explanation:

used the slope formula: change in y-values / change in x-values

when we flip four coins, each coin has two possible outcomes, so the total number of possible outcomes is 2 x 2 x 2 x 2 = 16. The random variable X represents the number of tails observed when these 4 coins are flipped, and can take on values from 0 to 4.

Each of these 16 outcomes has a corresponding number of tails. For example, the outcome HHHH has 0 tails, HTTT has 4 tails, and so on.

Therefore, we can define a random variable X to represent the number of tails observed when four coins are flipped. X can take on values from 0 (when all four coins are heads) to 4 (when all four coins are tails), and the probability of each value can be determined by counting the number of outcomes that correspond to that value and dividing by the total number of possible outcomes (16). This approach does not use the binomial distribution, which is a formula used to calculate the probability of a certain number of successes in a fixed number of independent trials with a constant probability of success.

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Answer:

(X-18)-3=15

3x-54=15

3x=15+54

3x=69

x=23

So jubo's number is 23

Answer:

$19,000 loss

Step-by-step explanation: Cost of the car: $29,000

                                              Cost of the car he sold for: $10,000

                                              Total lost occurred: $29,000 - $10,000 = $19000

                                              Therefore, the lost occurred was $19,000

The two other roots of p(x) are 8 - 4√31 and 8 + 4√31. The smaller root is 8 - 4√31 and the larger root is 8 + 4√31. We can calculate it in the following manner.

We know that the sum of the roots of a polynomial with real coefficients is equal to the negative of the coefficient of the second-to-last term divided by the coefficient of the leading term.

Therefore, the sum of the roots of p(x) is:

1 + 7 + r1 + r2 = -(-24)/1 = 24

where r1 and r2 are the two other roots of the polynomial. We can rewrite this equation as:

r1 + r2 = 16

We also know that the product of the roots of a polynomial is equal to the constant term divided by the coefficient of the leading term. Therefore, the product of the roots of p(x) is:

1 x 7 x r1 x r2 = 7/1 = 7

We can rewrite this equation as:

r1 x r2 = 7/7 = 1

Now, we can use this information to write a quadratic factor of p(x) that has r1 and r2 as its roots. We know that:

(x - r1)(x - r2) = x^2 - (r1 + r2)x + r1r2

Substituting in the values we know, we get:

(x - r1)(x - r2) = x^2 - 16x + 1

Therefore, we have:

p(x) = (x^2 - 16x + 1)(x^2 - 16x + 238)

The roots of the second quadratic factor can be found using the quadratic formula:

x = (16 ± √(16^2 - 4(1)(238))) / 2

x = 8 ± √(496)

The smaller root is 8 - √(496), which can be simplified to:

8 - √(496) = 8 - 4√31

The larger root is 8 + √(496), which can be simplified to:

8 + √(496) = 8 + 4√31

Therefore, the two other roots of p(x) are 8 - 4√31 and 8 + 4√31. The smaller root is 8 - 4√31 and the larger root is 8 + 4√31.

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7.051 can be written as the fraction 7051/1000.

To express 7.051 as a fraction in the form of p/q, we need to identify the decimal places and convert them to the corresponding fractional parts.

Since 7.051 has three decimal places, we multiply it by 1000 to move the decimal point three places to the right, which gives us 7051.

Now, the numerator (p) of the fraction will be 7051, and the denominator (q) will be the corresponding power of 10, which is 1000.

Therefore, 7.051 can be expressed as 7051/1000.

To simplify this fraction, we can divide both the numerator and the denominator by their greatest common divisor (GCD).

In this case, the GCD of 7051 and 1000 is 1, so the fraction is already in its simplest form.

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Answer:

Please solve these questions I am hella desperate rn

Step-by-step explanation:

Answer:

it is False

Step-by-step explanation:

Answer:

A: [|8.40−8.96|/8.96]⋅100,

B. 6.25%

Step-by-step explanation:

A.

% error =[ | calculate density - accepted density|/ accepted density]*100%

A: [|8.40−8.96|/8.96]⋅100

B.  |8.40−8.96|/8.96⋅100 = 6.25%

Answer:

2

Step-by-step explanation:

one apple and another equals to 2.

Answer: 11

Step-by-step explanation: you put one and one together lol

The width of the new rectangular field would be 0 meters, which means it would essentially be a line segment.

To find the length and width of another rectangular field that has the same perimeter but a larger area, we can use the following steps:

1. Calculate the perimeter of the given rectangular field:

  Perimeter = 2 * (Length + Width)

            = 2 * (120 meters + 80 meters)

            = 2 * 200 meters

            = 400 meters

2. Divide the perimeter by 2 to find the equal sides of the new rectangular field. Since the perimeter is divided equally into two sides, each side would be half of the perimeter length:

  Side length = Perimeter / 2

             = 400 meters / 2

             = 200 meters

3. Now, we have the side length of the new rectangular field. However, we need to determine the length and width that would yield a larger area. One way to achieve this is to make one side longer and the other side shorter.

4. Let's assume the length of the new rectangular field is 200 meters. Since both sides have the same length, the width can be calculated using the formula for the perimeter:

  Width = Perimeter / 2 - Length

        = 400 meters / 2 - 200 meters

        = 200 meters - 200 meters

        = 0 meters

5. Therefore, the width of the new rectangular field would be 0 meters, which means it would essentially be a line segment. However, note that the question asks for a rectangular field with a larger area. Since the width cannot be zero, we can conclude that it is not possible to have a rectangular field with the same perimeter but a larger area than the given field.

In summary, it is not possible to find another rectangular field with the same perimeter but a larger area than the rectangular field with dimensions 80 meters wide and 120 meters long.

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Answer:

Step-by-step explanation:

Image result for Identify the vertex of the following parabola. y = x2 - 4x +1

To find the vertex of a parabola, you first need to find x (or y, if your parabola is sideways) through the formula for the axis of symmetry. Then, you'll use that value to solve for y (or x if your parabola opens to the side) by using the quadratic equation. Those two coordinates are your parabola's vertex.

Answer:

C.

Step-by-step explanation:

We can use the distance formula to find the distance between the center of circle Q and point R, which is also the radius of the circle. Then, we can multiply this value by 2 to get the diameter of the circle.

Distance Formula:

The distance between two points with coordinates (x1, y1) and (x2, y2) is given by the formula:

d = sqrt((x2 - x1)^2 + (y2 - y1)^2)

Using the distance formula, we can find the radius of circle Q:

radius = sqrt((7 - 3)^2 + (1 - (-2))^2)

= sqrt(4^2 + 3^2)

= 5

Therefore, the diameter of the circle is:

diameter = 2 * radius

= 2 * 5

= 10

So, the length of the diameter of circle Q is 10 units.

Answer:

\(\huge\boxed{\sf B.}\)

Step-by-step explanation:

tan 30 = opposite / adjacent

Where opposite = x , adjacent = 10 and tan 30 = √3 / 3

\(\sf \frac{\sqrt{3} }{3} = \frac{x}{10} \\\\x = \frac{10\sqrt{3} }{3} \\\\\rule[225]{225}{2}\)

Hope this helped!

Answer:

The discount% is 15%

Step-by-step explanation:

Given : The price of a sweater was slashed from Rs 960 to Rs 816 by a shopkeeper in the winter season.

To find : The rate of discount given by him?

Solution :

According to question,

The market price of the sweater is Rs.960

The selling price of the sweater is Rs.816

The discount on the sweater is given bY

Discount % is given by

Therefore, The discount% is 15%.

Answer:

C , F

Step-by-step explanation:

you need to divide both sides by 3 in order to get x

3x = 12

x = 4.

the property is the division property of equality.

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what is the question you want 12 or 13

Answer:transversive property

Step-by-step explanation:

The minimum length of the third side must be greater than 16 feet.

The minimum length of the third side can be determined using the Triangle inequality theorem. This theorem states that the sum of any two sides of a triangle must be greater than the length of the third side. The Triangle Inequality Theorem can be expressed by the following inequality: a + b > c, where a, b, and c are the lengths of the three sides of the triangle. In this case, we have two sides of 4 feet and 12 feet, so the inequality can be written as 4 + 12 > c, which simplifies to 16 > c. Solving for c yields c > 16, which means that the minimum length of the third side must be greater than 16 feet.

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Answer:

Part A: \(\frac{3}{5}\)

Part B: \(\frac{1}{2}\)

Step-by-step explanation:

We know that Alinn flipped a coin 20 times, and that 12 of those times resulted in heads. The other 8 times resulted in tails.

Part A wants us to find the experimental probability of the coin landing on heads. Experimental probability is the probability determined based on the experiments performed.

Part B wants us to find the theoretical probability of the coin landing on heads. Theoretical probability is determined based on the number of favorable outcomes over the number of possible outcomes.

Experimental probability is determined as # of times something occurred experimentally / total number of times.  

Since 12 of the 20 times that Alinn flipped the coin resulted in heads, this means that the experimental probability of Alinn flipping heads is \(\frac{12}{20}\), which simplifies down to \(\frac{3}{5}\).

Theoretical probability, as stated above, is the number of favorable outcomes / possible outcomes.

Our favorable outcome is flipping heads, and on a coin, there are two sides that a coin can land on: heads and tails. This means that there are two possible outcomes, and only one of them is favorable.

This means that our theoretical probability is \(\frac{1}{2}\).

The length of segment EF is 6 cm.

The distance between two ends determines the length of a segment.

A segment may be straight, curved, or both straight and curved.

As the distance between two points on a line, a straight segment is the most basic kind of segment. The positions at the segment's ends are known as the endpoints.

It is possible to determine the length of a straight segment by first calculating the difference between the x- and y-coordinates of the two endpoints.

To determine the overall length of the segment, this information is then combined together. It is slightly more difficult to measure a piece that is curved.

This is so because a curved segment's length is frequently different at each location.

Both trapezoids are similar,

⇒ AB / DC = FE / GH                 [Sides are in same ratio]

⇒ 24 / 30 = x / 7.5

⇒ x = 6

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Answer:

7.74 yd²

Step-by-step explanation:

Answer:

7.74 yd²

Step-by-step explanation:

The shaded area can be calculated by subtracting the area of the circle from the area of the square.

Given:

Area of the square = side length × side length

                               = 6 × 6

                               = 36 yd²

Area of the circle = πr²

                             = 3.14 × 3²

                             = 28.26 yd²

Shaded area = area of square - area of circle

                      = 36 - 28.26

                      = 7.74 yd²

Jennifer factored it completely because she pulled out the common factor  of the three terms, which 2.

This simplifies the trinomial to 2(2x^2-3x-2) and then this factors to be 2(x − 2)(2x + 1)

The integral ˆ«(1 to [infinity]) xe^-x2 dx, is  E) divergent, that is, an indefinite integral with an upper limit of infinity.

Let's use the following steps to evaluate indefinite integral:

ˆ«(1 to [infinity]) xe^-x2 dx

We can start by making a substitution to simplify the integral.

We substitute u = -x^2, du = -2x dx. When x approaches infinity, u approaches negative infinity, and when x is 1, u is -1.

Now we can rewrite the integral with the substitution:

ˆ«(-1 to -infinity) e^(u/2) du

Next, we can use the limit property of integrals to evaluate the integral as u approaches negative infinity:

lim[u->-infinity] ˆ«(-1 to u) e^(u/2) du

As u approaches negative infinity, e^(u/2) approaches zero, so the integral becomes zero or the integral converges to zero.

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Answer:

the answer is 200 mph because you take and divide the 400 miles by 20 mph

Step-by-step explanation:

\(( ~~ \csc(\theta )-\cot(\theta ) ~~ )^2=\cfrac{1-\cos(\theta )}{1+\cos(\theta )} \\\\[-0.35em] ~\dotfill\\\\ ( ~~ \csc(\theta )-\cot(\theta ) ~~ )^2\implies \csc^2(\theta )-2\csc(\theta )\cot(\theta )+\cot^2(\theta ) \\\\\\ \cfrac{1^2}{\sin^2(\theta )}-2\cdot \cfrac{1}{\sin(\theta )}\cdot \cfrac{\cos(\theta )}{\sin(\theta )}+\cfrac{\cos^2(\theta )}{\sin^2(\theta )}\implies \cfrac{1}{\sin^2(\theta )}-\cfrac{2\cos(\theta )}{\sin^2(\theta )}+\cfrac{\cos^2(\theta )}{\sin^2(\theta )}\)

\(\cfrac{\cos^2(\theta )-2\cos(\theta )+1}{\sin^2(\theta )}\implies \cfrac{[\cos(\theta )-1][\cos(\theta )-1]}{\sin^2(\theta )} \\\\\\ \cfrac{[\cos(\theta )-1][\cos(\theta )-1]}{1-\cos^2(\theta )}\implies \cfrac{[\cos(\theta )-1][\cos(\theta )-1]}{-[\cos^2(\theta )-1]}\)

\(\cfrac{[\cos(\theta )-1][\cos(\theta )-1]}{-[\cos^2(\theta )-1^2]}\implies \cfrac{[\cos(\theta )-1][\cos(\theta )-1]}{-[\cos(\theta )-1][\cos(\theta )+1]} \\\\\\ \cfrac{\cos(\theta )-1}{-[\cos(\theta )+1]}\implies \cfrac{-[\cos(\theta )-1]}{\cos(\theta )+1}\implies \cfrac{1-\cos(\theta )}{1+\cos(\theta )}\)

The domain of the graphed function in this problem is given as follows:

2 <= x <= 5.

The domain of a function is the set composed by all the input values that the function accepts.

On the graph, the domain of the function is given by the values of x.

For this problem, the values of x are a closed interval between x = 2 and x = 5, hence the domain of the function is defined by the interval presented as follows:

2 <= x <= 5.

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Answer:

hope this helps .keep on learning

Answer:

n = -2

Step-by-step explanation:

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