HELP!!!!!!!!!
Question 21-22

Answer:

zero point six hundred and four

Step-by-step explanation:

Answer:

\(f'(x)= \frac{13}{(2x+3)^2}\\\)

Step-by-step explanation:

\(f(x)= \frac{3x-2}{2x+3} \\\)

\(f'(x)=\frac{dy}{dx} = \frac{d}{dx}(\frac{3x-2}{2x+3})\\ f'(x)= \frac{(2x+3)\frac{d}{dx}(3x-2)-(3x-2)\frac{d}{dx}(2x+3) }{(2x+3)^{2} } \\f'(x)= \frac{(2x+3)(3)-(3x-2)(2)}{(2x+3)^{2} } \\\)

\(f'(x)= \frac{6x+9-6x+4}{(2x+3)^{2} }\\ f'(x)= \frac{13}{(2x+3)^2}\\\)

The side b is 24 cm, angle A is approximately 16.3 degrees, and angle B is approximately 73.7 degrees using Pythagorean theorem.

Using the Pythagorean theorem, we can solve for b:

\(a^2 + b^2 = c^2 \\7^2 + b^2 = 25^2 \\49 + b^2 = 625 \\b^2 = 576\)
b = 24 cm

Now, to find angle B:

\(sin(B)\) = opposite/hypotenuse = a/c = 7/25
\(B = sin^-1(7/25) = 16.3 degrees\)

To find angle A:

A = 90 degrees - B = 73.7 degrees

Therefore, the angles are:
A ≈ 73.7 degrees
B ≈ 16.3 degrees
C = 90 degrees

To solve the given right triangle with a = 7 cm and c = 25 cm, we will first find the missing side b using the Pythagorean theorem, then find the angles A and B using trigonometric functions.

Step 1: Find side b using the Pythagorean theorem.
In a right triangle, a² + b² = c²
Given, a = 7 cm and c = 25 cm, so:
\(7² + b² = 25²49 + b² = 625\\b² = 625 - 49\\b² = 576\\b = \sqrt{576}\)
b = 24 cm

Step 2: Find angle A using sine or cosine.
Using sine, we have sin(A) = a/c
\(sin(A) = 7/25\\A = arcsin(7/25)\)
A ≈ 16.3 degrees (rounded to the nearest tenth)

Step 3: Find angle B using the fact that the sum of angles in a triangle is 180 degrees.
Since it's a right triangle, angle C is 90 degrees. Thus:
A + B + C = 180 degrees
16.3 + B + 90 = 180
B ≈ 180 - 16.3 - 90
B ≈ 73.7 degrees (rounded to the nearest tenth)

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The geometric mean of 24 and 45 is equal to 32.86.

Given the following data:

Geometric mean is an average value that is used to indicate the central tendency of a data set containing a group of numbers, especially by determining the product of their values.

Mathematically, geometric mean is given by this formula:

\(G=\sqrt[n]{x_1x_2...x_n}\)

Substituting the given parameters into the formula, we have;

\(G = \sqrt[2]{24 \times 45} \\\\G = \sqrt{1080}\)

G = 32.86.

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a = -1/2

Hope this helps :)

Answer:

a = -1/2

Step-by-step explanation:

-1/4a - 4 = 7/4a - 3

-a/2^2 - 4 = 7/ 2^2 a - 3

(-a) - ( 2^2) 4 / 2^2 = 7a/ 2^2 - 3

a = -1/2

I know this confusing but this how I got the answer.

I hope this helps

Answer:

1. Positive

2. Quadrant 4

Step-by-step explanation:

1. In a one-step equation, there must be an even amount of negatives.

2. Quadrants are numbered

Hey there,

What are the values of a, b and c?

5x² + 2 = 4x

5x² + 2 - 4x = 4x - 4x

5x² - 4x+ 2 = 0

Quadratic général equation:

ax² + bx + c = 0

I hope this helps ✅(◠‿◕)

To use the Fundamental Theorem of Line Integrals, we first need to find a potential function, say φ(x, y), such that F = ∇φ.

Given F = (x + 2)i + (2y + 3)j, let's find the potential function φ(x, y) by integrating F with respect to x and y:

∂φ/∂x = x + 2 => φ(x, y) = (1/2)x^2 + 2x + g(y)
∂φ/∂y = 2y + 3 => φ(x, y) = y^2 + 3y + h(x)

Comparing the two expressions for φ(x, y), we can deduce that g(y) = y^2 + 3y and h(x) = (1/2)x^2 + 2x. Thus, the potential function is:
φ(x, y) = (1/2)x^2 + 2x + y^2 + 3y

Now, we can apply the Fundamental Theorem of Line Integrals:
∫(F · dr) = φ(B) - φ(A)

Where A = (3, 0) and B = (5, 2).
φ(A) = (1/2)(3)^2 + 2(3) + (0)^2 + 3(0) = 13.5
φ(B) = (1/2)(5)^2 + 2(5) + (2)^2 + 3(2) = 37

Now, subtract:
∫(F · dr) = φ(B) - φ(A) = 37 - 13.5 = 23.5

So, the exact value of the line integral is 23.5.

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1) The amplitude c+ is c+l

2) The expectation value is 0

3) The uncertainty ΔSX is √(3/7) c+.

Now, we know that any wave function can be written as a linear combination of two spin states (up and down), which can be written as:

Ψ = c+ |+> + c- |->

where c+ and c- are complex constants, and |+> and |-> are the two orthogonal spin states such that Sx|+> = +1/2|+> and Sx|-> = -1/2|->.

Hence, we can write the given wave function as:Ψ = c+|+> + i/√7|->

Now, we know that the given wave function has been defined in Sx basis, and not in the basis of |+> and |->.

Therefore, we need to write |+> and |-> in terms of |l> and |r> (where |l> and |r> are two orthogonal spin states such that Sy|l> = i/2|l> and Sy|r> = -i/2|r>).

Now, |+> can be written as:|+> = 1/√2(|l> + |r>)

Similarly, |-> can be written as:|-> = 1/√2(|l> - |r>)

Therefore, the given wave function can be written as:Ψ = (c+/√2)(|l> + |r>) + i/(√7√2)(|l> - |r>)

Therefore, we can write:c+|l> + i/(√7)|r> = (c+/√2)|+> + i/(√7√2)|->

Comparing the coefficients of |+> and |-> on both sides of the above equation, we get:

c+/√2 = c+l/√2 + i/(√7√2)

Therefore, c+ = c+l

The amplitude c+ is a real number and is equal to c+l

The expectation value of the operator Sx is given by: = <Ψ|Sx|Ψ>

Now, Sx|l> = 1/2|r> and Sx|r> = -1/2|l>

Hence, = (c+l*) + (c+l) + (i/√7) - (i/√7)(c+l*)= -i/√7(c+l*) + i/√7(c+l)= 2i/√7 Im(c+)

As c+ is a real number, Im(c+) = 0

Therefore, = 0

The uncertainty ΔSX in the state |Ψ> is given by:

ΔSX = √( - 2)

where = <Ψ|Sx2|Ψ>and2 = (<Ψ|Sx|Ψ>)2

Now, Sx2|l> = 1/4|l> and Sx2|r> = 1/4|r>

Hence, = (c+l*) + (c+l) + (i/√7) - (i/√7)(c+l*)= 1/4(c+l* + c+l) + 1/4(c+l + c+l*) + i/(2√7)(c+l* - c+l) - i/(2√7)(c+l - c+l*)= = 1/4(c+l + c+l*)

Now,2 = (2i/√7)2= 4/7ΔSX = √( - 2)= √(1/4(c+l + c+l*) - 4/7)= √(3/14(c+l + c+l*))= √(3/14 * 2c+)= √(3/7) c+

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The present value of the annuity is $4,813.52.

To calculate the present value of the annuity, we can use the formula for the present value of an increasing annuity:

PV = C * (1 - (1 + r)^(-n)) / (r - g)

Where:

PV = Present Value

C = Payment amount at time t=1

r = Interest rate

n = Number of payments

g = Growth rate of payments

In this case:

C = $300

r = 8% or 0.08

n = Number of payments = Last payment amount - First payment amount / Growth rate + 1 = ($1000 - $300) / $50 + 1 = 14

g = Growth rate of payments = $50

Plugging in these values into the formula, we get:

PV = $300 * (1 - (1 + 0.08)^(-14)) / (0.08 - 0.05) = $4,813.52

Therefore, the present value of this annuity is $4,813.52. This means that if we were to invest $4,813.52 today at an interest rate of 8%, it would grow to match the future cash flows of the annuity.

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Answer:

1394

Step-by-step explanation:

\(680 + 17 + 680 + 17 = 1394\)

Answer:

B.

Step-by-step explanation:

It will be completely symmetrical (a.k.a. Equilateral Triangle) with all 3 angles 60°, whereas a right triangle has one side of 90°.

Answer:

b

Step-by-step explanation:

If all sides are the same it is an equilateral triangle

The probability of being dealt 4​, ​5, 6​, 7​, and 8​, not necessarily in the same​ suit is  0.00039.

The cards 4,5,6,7, and 8 are given to us. We must figure out the probability of obtaining these cards in a deal. As we already know, probability equals the number of possible card selection methods divided by the total number of possible card selection methods. The amount of card selection options will therefore be determined initially.

We know that there are four cards of each number, 4, 5, 6, 7 and 8, in a deck of 52 cards. This means that there will be an equal number of possibilities to choose one card from the decks of 4, 5, 6, 7 and 8 when raised to the power of five.

Possible ways= 4^5= 1024

Total selection= C(52,5)= 2598960

Probability of being dealt with  4​, ​5, 6​, 7​, and 8​ is 1024/2598960 which is equal to 0.00039.

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Answer:

16 tiles

Step-by-step explanation:

Divide 4 by 1/4 to get your answer.

This is the same as multiplying 4 by the inverse of 1/4 (which is 4/1 a.k.a 4)

4 * 4 = 16

16 tiles will fit end-to-end along a 4-foot wall.

Answer:

1) Drink

2) 8

3) 10

4) 6

5) 4

Fill in the information based on the chart. There is 8 different meats, 10 different vegetables, 6 different desserts, and 4 different drinks.

a) To save enough funds to purchase the car in 2.5 years, monthly deposits of $373.69 are required, while weekly deposits of $86.21 are needed.

b) With annual deposits of $2,000, it will take approximately 5 years to accumulate sufficient funds to purchase the car. For borrowing options, under Option 1, the monthly installment amount is $349.56, which reduces to $291.55 with a $1,800 lump sum contribution from parents. Under Option 2, the monthly installment amount is $237.63 for the first 36 months, doubling thereafter.

a) To calculate the minimum required monthly savings, we use the future value formula with monthly compounding: \($10,000 = PMT * ((1 + 0.06/12)^(2.5*12) - 1) / (0.06/12)\). Solving for PMT, the monthly deposit required is approximately $373.69.

b) Similarly, for weekly deposits, we use the future value formula with weekly compounding: \($10,000 = PMT * ((1 + 0.06/52)^(2.5*52) - 1) / (0.06/52)\). Solving for PMT, the weekly deposit required is approximately $86.21.

c) Using the future value formula for annual deposits: \($10,000 = $2,000 * ((1 + 0.06)^t - 1) / 0.06\). Solving for t, the time required to accumulate $10,000, we find it will take approximately 5 years.

d) For Option 1, the monthly installment amount can be calculated using the present value formula: \($13,000 = X * (1 - (1 + 0.06/12)^-30) / (0.06/12).\) Solving for X, the monthly installment amount is approximately $349.56.

e) With a lump sum contribution of $1,800, the remaining loan amount becomes $13,000 - $1,800 = $11,200. Using the same formula as in (d), the new monthly installment amount is approximately $291.55.

f) For Option 2, the monthly installment amount during the first 36 months is $Y. After 36 months, the monthly installment amount doubles. Using the present value formula: \($13,000 = Y * (1 - (1 + 0.06/12)^-36) / (0.06/12) + 2Y * (1 - (1 + 0.06/12)^-30) / (0.06/12)\). Solving for Y, the monthly installment amount is approximately $237.63.

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The equivalent expression of 4p^2 + 5.5m + 2.5p^2 - m + 3m is 6.5p^2 + 7.5m

The expression is given as

4p^2+5.5m+2.5p^2-m+3m

Rewrite properly as

4p^2 + 5.5m + 2.5p^2 - m + 3m

Collect the like terms in the above equation

4p^2 + 5.5m + 2.5p^2 - m + 3m = 4p^2 + 2.5p^2 + 5.5m - m + 3m

Evaluate the like terms in the above equation

4p^2 + 5.5m + 2.5p^2 - m + 3m = 6.5p^2 + 7.5m

Hence, the equivalent expression of 4p^2 + 5.5m + 2.5p^2 - m + 3m is 6.5p^2 + 7.5m

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Answer: C. $16.80

Step-by-step explanation:

Answer:

C.) $16.80

Step-by-step explanation:

Find what 8% as a decimal is: move the decimal to the right 2 times.=.08

Multiply: .08 times 210

.08 times 210 = 16.8

16.8= 16.80

$16.80

Hope I helped!! :)

Brainliest?!?!

Stay safe and have a good night/day/afternoon!!!

Translating the given word problem into a set of linear equations, Mariana's age is 15 years old.

Translate the given word problem into algebraic equations.

Let x be Mariana's age

Let y be Yaritza's age

Mariana is younger than Yaritza, their ages are consecutive odd integers.

Since the difference of  consecutive odd integers is 2, then:

y = x + 2  ....... (1)

Sum of Mariana's age and 5 times Yaritza's age is 100.

x + 5y = 100   ..... (2)

Substitute equation (1) to equation (2)

x + 5y = 100

x + 5(x+2) = 100

6x + 10 = 100

6x = 90

x = 15

Thus, Mariana's age is 15 years old.

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Answer:

15

Step-by-step explanation:

i just got it right on delta

Answer:

-2x+1

Step-by-step explanation:

In this, you can only add like terms. Like terms would be x and -3x or -7 and 8.

(x-3x)+(-7+8)=-2x+1

Answer:

The answer is (-2x – 15)

Step-by-step explanation:

(x – 7) – (3x + 8)

x – 7 – 3x – 8

-2x – 15

Thus, The answer is (-2x – 15)

-TheUnknownScientist 72

The difference between a type II error and a type I error is that a type I error rejects the null hypothesis when it is true (i.e., a false positive). The probability of committing a type I error is equal to the level of significance that was set for the hypothesis test.

The null hypothesis in inferential statistics is that two possibilities are equal. The underlying assumption is that the observed difference is just the result of chance. It is feasible to determine the probability that the null hypothesis is correct using statistical testing.

A statistical hypothesis known as a null hypothesis asserts that no statistical significance can be found in a collection of provided observations. Using sample data, hypothesis testing is performed to judge a theory' veracity. It is sometimes referred to as just "the null," and its symbol is H0.

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Answer:

plane intersects a 3D shape

Answer:

m=6

Step-by-step explanation:

4(m+3) = 36

4m + 12 = 36

4m + (12 -12) = (36 -12)

4m = 24

4m/4 = 24/4

m = 6

Answer:

a=-3

Step-by-step explanation:

The area of the figure given below is 56.6 units² .

In the question ,

a figure is given

where there is one rectangle and two semicircles .

the length of the rectangle is given as 11 units

and the breadth of the rectangle is = 4 units

we know that the area of the rectangle is = length × breadth

on substituting the values ,

we get

area = 11 × 4

area = 44 units²

the radius of the semicircle = 2 units

the are of the semi circle = (1/2)*π*r²

since there are two semicircle , the area of the two semi circle will be

= 2 * (1/2)πr²

= π*r²

On substituting , the value of radius = 2 ,

we get the area is = 3.14*(2)² = 12.56       using π = 3.14

so the area of the complex figure is = 44 + 12.56 = 56.56

≈ 56.6

Therefore , The area of the figure given below is 56.6 units²  .

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Here, x value of 8 would be located on the left tail of the normal distribution curve, 3.67 standard deviations below the mean (μ=22.3) and with a very low value in terms of percentile or probability (0.015%).

To indicate where the given x value of 8 would be on the curve, we need to plot it on a normal distribution curve with a mean (μ) of 22.3 and a standard deviation (σ) of 3.9.
First, we need to convert the given x value of 8 into a z-score by using the formula:  z = (x - μ) / σ
Plugging in the values, we get: z = (8 - 22.3) / 3.9 = -3.67
This means that the value of 8 is located 3.67 standard deviations below the mean.
Next, we need to find this point on the normal distribution curve. We can use a z-score table or a graphing calculator to find the corresponding area under the curve.
If we use a z-score table, we can look up the area to the left of -3.67, which is 0.00015. This means that only 0.015% of the data falls below this point.
To plot this on the curve, we can locate the mean (μ) and mark it as the center of the curve. Then, we can count 3.67 standard deviations to the left of the mean and mark this as the point where the value of 8 would be located.

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