Which expression is equivalent to the expression 22 – 10 – 7.5?

Where's the figure?

∝ Sidhdi

Answer:

Answer:

A. 2 sinx cosx - 1 + 2 sin^2 x.

Step-by-step explanation:

sin2x = 2 sinx cosx

cos2x = cos^2x - sin^2x

So sin2x - cos2x =  2 sinx cosx - ( cos^2x - sin^2x)

But cos^2 x = 1 - sin^2 x, so we have:

2 sinx cosx - (1 - sin^2 x - sin^2x)

= 2 sinx cosx - 1 + 2 sin^2 x.

Answer:

3,264

Step-by-step explanation:

You have to use the straight line in the middle of the triangle as the height, the 12 below it as length, and the 34 on the side as width. And I must say, this prism is quite WIDE

Answer:

3264

Step-by-step explanation:

This is the answer.

9) (2x + 3)(4x² - 6x + 9) 10) (4-3b)(4² + 12b + 9b²)

11) (2m -3r)(4m² + 6mr + 9r²) 12) (5a + 2b)(25a² - 10ab + 4b²)

Explanation:

Factoring a Sum of Cubes:

a³ + b³ = (a + b)(a² – ab + b²)

Factoring a Difference of Cubes:

a³ – b³ = (a – b)(a² + ab + b²)

9) 8x³+27

2³x³ + 3³ = (2x)³ + 3³

(2x)³ + 3³ = (2x + 3)((2x)² -(2x)(3) + 3²)

= (2x + 3)(4x² - 6x + 9)

10) 64 - 27b³

4³ - 3³b³ = 4³ - (3b)³

4³ - (3b)³ = (4-3b)(4² + (4)(3b) + (3b)²

= (4-3b)(4² + 12b + 9b²)

11) 8m³ - 27r³

2³m³ - 3³r³ = (2m)³ - (3r)³

(2m)³ - (3r)³ = (2m -3r)((2m)² + (2m)(3r) + (3r)²)

= (2m -3r)(4m² + 6mr + 9r²)

12) 125a³+8b³

5³a³ + 2³b³ = (5a)³ + (2b)³

(5a)³ + (2b)³ = (5a + 2b)((5a)² - (5a)(2b) + (2b)²)

= (5a + 2b)(25a² - 10ab + 4b²)

Answer:

30

Step-by-step explanation:

calculator

the answer is3%, 3% of 60 = 18

Answer:

Option a) 1/5 is most closely to 0.

1/5 is the closest to 0 out of all the answers, and is the only one that would round downwards to Zero.

5/10=1/2 50%

7/12 is unable to be simplified, but is 58%

10/11 can not be simplified, but = rounds up to 91%

you cannot round anything above 50% downwards.

Answer: Sir/Ma´am/Person, it doesnt show.

Step-by-step explanation: Im on an computer and it wont show, ive tried putting it in different tabs..nothing seems to be functional. Maybe its my computer? If it isnt, heres a heads up: it could be a unrecognized file if thats what it told you somehow before you did that?  But thats all i wanted to type. Enjoy your day.

Answer:

Domain : { - 3 , - 1 , 0 , 2 }

To determine the values of the constants a and b such that the functions f(x) = e^ax and g(x) = √(x + 3) belong to L^2(0, ∞), we need to check whether the integrals of the squared absolute values of these functions are finite over the given interval.

First, let's consider f(x) = e^(a-2)x. To check if it belongs to L^2(0, ∞), we need to evaluate the integral of |f(x)|^2 from 0 to ∞ and check if it is finite.

∫[0,∞] |f(x)|^2 dx = ∫[0,∞] |e^(a-2)x|^2 dx = ∫[0,∞] e^(2(a-2)x) dx

To make this integral finite, we need the exponent 2(a-2)x to be negative or zero for large values of x. This means that 2(a-2) ≤ 0, which simplifies to a ≤ 1.

Now let's consider g(x) = √(x + 3). To check if it belongs to L^2(0, ∞), we need to evaluate the integral of |g(x)|^2 from 0 to ∞ and check if it is finite.

∫[0,∞] |g(x)|^2 dx = ∫[0,∞] (√(x + 3))^2 dx = ∫[0,∞] (x + 3) dx

This integral is finite and converges, regardless of the values of a and b.

, we discussed the conditions for the functions f(x) = e^(a-2)x and g(x) = √(x + 3) to belong to L^2(0, ∞). We found that for f(x) to belong to L^2(0, ∞), the constant a must be less than or equal to 1. On the other hand, g(x) always belongs to L^2(0, ∞) as its integral is finite regardless of the values of a and b.

L^2(0, ∞) is a function space that consists of functions for which the integral of the squared absolute value is finite over the interval (0, ∞). It is often used to analyze the convergence and properties of functions in a wide range of mathematical fields.

In summary, to ensure that both f(x) = e^(a-2)x and g(x) = √(x + 3) belong to L^2(0, ∞), the constant a must be less than or equal to 1. The function g(x) always belongs to L^2(0, ∞) regardless of the values of a and b.

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Answer:

B) 6 inches

Step-by-step explanation:

==>Given that ∆JKL ~ ∆TUV, it therefore means the ratio of proportion of the corresponding sides of ∆JKL and ∆TUV are equal.

Thus:

JK/TU = JL/TV = KL/UV

10/7.5 = 8/x = 13/9.75

Let's find x

10/7.5 = 8/x

=>Cross multiply

10*x = 8*7.5

10x = 60

Divide both sides by 10

x = 6 inches

Our answer is B) 6 inches

Answer:

60yd

Step-by-step explanation:

First you multiply 3yd, and 6yd to get the area of 18 yards.

Second, you multiply the length of the triangle, so 6*7 is 42.

Finally you add both of the areas together to get the area of the full shape.

The main net worth of senior citizens is with a standard deviation of  If a random sample of 50 senior citizens is selected, the probability that the mean net worth of this group is between and can be calculated as follows .

Given, Sample size n = 50 Standard deviation Let be the sample mean net worth of 50 senior citizens. To calculate the probability that the mean net worth of this group is between and , we first need to calculate the z-scores of the given values.

The probability that the sample mean is between $950,000 and $1,250,000 can now be calculated using the standard normal distribution table or calculator.Using the standard normal distribution table, we find that Therefore, the probability that the mean net worth of a sample of 50 senior citizens is between $950,000 and $1,250,000 is 0.8893 or approximately 88.93%.

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Answer:

2 Miles Per Hour

Step-by-step explanation:

I get this answer by first converting hours to minutes. I got 180 minutes from 3 hours. I then divided 360/180 to get the miles per minute. This gave me 2 which was my Miles Per Minute.

Answer:

J

A=7.07cm^2

Step-by-step explanation:

A= (pi)(r^2)

diameter=3

radius= 1/2 of the diameter = 1.5

pi = approximately 3.14

A= (3.14) (1.5)^2

A= 7.065 ----> rounds to 7.07

Answer:

300

Step-by-step explanation:

25% of 300 is 75. 100% of 300 is 300, therefore 25 percent of 300 equals 75.

75*100=7500

7500/25=300

75 is 25% of 300

According to the question we need to that company should order at least 11,505 batteries from the warehouse to be 99.7% certain of receiving at least 10,000 working batteries.

To calculate the number of batteries needed, we consider the probability distribution of the number of working batteries in a shipment. Assuming a 90% probability of a battery being working.

we use the binomial distribution to find the minimum value of n. By setting the probability of getting at least 10,000 working batteries to 99.7%, we determine that the company should order at least 11,505 batteries to meet this as criterion.

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Answer:

I have no clue what this says UwU

Step-by-step explanation:

Answer:

Step-by-step explanation:

a;23

b;23

c97

d18

e29

The integral to evaluate is ∫∫R 3x²(3x - 2y + 5) dy dx over the region R, where R is the region bounded by the curve y = 21 - x.

To evaluate the given integral, we need to compute the double integral of the function f(x, y) = 3x²(3x - 2y + 5) over the region R bounded by the curve y = 21 - x.

First, let's sketch the region R. The curve y = 21 - x is a straight line with a y-intercept of 21 and a slope of -1. It intersects the x-axis at x = 21 and the y-axis at y = 21. Therefore, R is a triangular region in the first quadrant of the xy-plane.

Next, we can rewrite the integral as ∫∫R 3x^2(3x - 2y + 5) dy dx. To evaluate this integral, we need to reverse the order of integration. Integrating with respect to y first, the limits of integration for y are y = 0 to y = 21 - x.

Thus, the integral becomes ∫[0 to 21] ∫[0 to 21 - x] 3x²(3x - 2y + 5) dy dx.

Evaluating the inner integral with respect to y, we get ∫[0 to 21] [3x²(3x - 2(21 - x) + 5)y] [0 to 21 - x] dx.

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When using the "closest to" strategy, we would round 67 to 70 because the absolute difference between 67 and 70 is smaller than the absolute difference between 67 and 60.

To determine which tidy number 67 is closer to using the strategy "closest to," we can look at the distance between 67 and 60 as well as the distance between 67 and 70. The distance between 67 and 60 is 7, while the distance between 67 and 70 is 3. Since 67 is closer to 70 than 60, we would say that 67 is closer to 70 using the "closest to" strategy.

This is because the goal of the "closest to" strategy is to find the tidy number that minimizes the distance from the given number, and in this case, 70 is closer to 67 than 60.

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x can be expressed as a linear combination of the vector [[1]], where the scalar is 2.

(a) To show that the set of vectors P = (1, 2, 1), Q = (1, 0, 2), and R = (1, 1, 0) is a spanning set for R³, we need to demonstrate that any vector in R³ can be expressed as a linear combination of these three vectors.

Let's consider an arbitrary vector v = (a, b, c) in R³. We want to find scalars x, y, and z such that xP + yQ + zR = v.

Setting up the equation, we have:

x(1, 2, 1) + y(1, 0, 2) + z(1, 1, 0) = (a, b, c)

Simplifying the equation, we get:

(x + y + z, 2x + z, x + 2y) = (a, b, c)

Now we can solve the system of equations:

x + y + z = a

2x + z = b

x + 2y = c

Solving these equations, we find:

x = a - b + c

y = (2b - a - c) / 3

z = b - 2a + c

Thus, we have expressed the arbitrary vector v as a linear combination of P, Q, and R:

v = (a, b, c) = (a - b + c)P + ((2b - a - c) / 3)Q + (b - 2a + c)R

Since we have shown that any vector in R³ can be expressed as a linear combination of P, Q, and R, we conclude that P, Q, and R form a spanning set for R³.

(b) Given matrix A = [[2, 1, 0]] and vector x = [[2]], to find 7(ax), we perform the matrix multiplication:

7(ax) = 7(Ax) = 7([[2, 1, 0]])[[2]] = [[2, 1, 0]] [[4]] = [[24 + 12 + 0*0]] = [[10]].

Therefore, 7(ax) is equal to [[10]].

To express x as a linear combination, we can write:

x = [[2]] = 2[[1]].

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Euler's method estimate y(1), we find the value of y'(0) is 0 value of y1  is 5.

To use Euler's method to estimate y(1), we first need to find the value of y'(0) using the initial conditions.

y'(0) = 0² + 0(5) = 0

Now we can use the formula for Euler's method:

y1 = y0 + h x f(x0, y0)

where h is the step size (0.2 in this case), f(x, y) is the differential equation (x² + xy in this case), x0 = 0 (the initial value of x), and y0 = 5 (the initial value of y).

y1 = 5 + 0.2 x (0² + 0 x 5) = 5

So the estimated value of y(0.2) is 5.

To find y(0.4), we use the formula again with x0 = 0.2 and y0 = 5:

y2 = y1 + hf(x1, y1) = 5 + 0.2(0.2² + 0.2 x 5) = 5.24

Continuing in this way, we can find estimates for y(0.6), y(0.8), and y(1):

y3 = y2 + hf(x2, y2) = 5.576

y4 = y3 + hf(x3, y3) = 5.951

y5 = y4 + h x f(x4, y4) = 6.366

So the estimated value of y(1) is 6.366 (rounded to four decimal places).

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The cost of the shirt, in dollars, after the 30% discount is $17.50.

What is discount?

A discount is a reduction in the price of a product or service that is offered by a seller to a buyer. Discounts can be offered for a variety of reasons, such as to attract customers, increase sales, or clear out inventory. Discounts can be expressed as a percentage or a fixed amount, and they can be applied at the time of purchase or deducted from an invoice or bill. Discounts are often used in sales promotions, marketing campaigns, and loyalty programs to incentivize customers to buy or use a product or service.

If a store is offering a 30% discount on shirts that cost $25 originally, then the discount amount is:

30% of $25 = 0.30 x $25 = $7.50

The discount amount is $7.50, so the new price of the shirt after the discount is:

$25 - $7.50 = $17.50

Therefore, the cost of the shirt, in dollars, after the 30% discount is $17.50.

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The probability of a couple having five children with no children being affected by the disorder is given by the formula (1 - 0.0025)⁵.

This formula calculates the probability of a certain event (in this case, having no children affected by the disorder) happening five times in a row. However, this does not give the probability of all five children being unaffected by the disorder.

To find the probability of all five children being unaffected, you would need to multiply the probability of each child being unaffected, which is (1 - 0.0025), five times:

This result is the correct probability of a couple having five children with no children being affected by the disorder.

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Answer:

48 96 and 192

Step-by-step explanation:

you just have to multiply by two

The statement is false that there exists a function f such that f(x) < 0, f '(x) > 0, and f ''(x) < 0.

According to the given conditions, we need to find a function f such that f(x) is negative, f'(x) is positive, and f''(x) is negative for all x.

However, such a function does not exist. If f''(x) is negative for all x, it means the function is concave down. In that case, if f'(x) is positive, it means the function is increasing. But if the function is increasing, it cannot always be negative.

Therefore, it is not possible for a function to satisfy the conditions f(x) < 0, f'(x) > 0, and f''(x) < 0 for all x simultaneously. Hence, the statement is false.

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Answer:

2d + 35

Step-by-step explanation:

2 per dog (d) plus an additional 35 treats = 2d + 35

Answer:

b

Step-by-step explanation:

Answer:

0 , 1 or infinitely many solutions

Step-by-step explanation: