\(y=x(\frac{ab}{a-b})\)
SOLVE FOR A

(Right answer gets Brainliest and 30 points!)

Answer:

18.9

Step-by-step explanation:

Start with parentheses.

4/5 + 3/5 = 7/5

Simplify 7/5, 7/5 = 1 2/5

Next numbers.

3.5 x 5 = 17.5

Add.

17.5 + 1 2/5 = 18.9

The equation for the line that runs between the points (8, 4) and (0, 2) has the following slope-intercept form is : y = 1/4 x + 2

The point-slope form, standard form, and slope-intercept form are the three main types of linear equations.

Here,

A line's equation can be written as y = mx + b in slope-intercept form.

slope = m and y-intercept = b.

You can rewrite the equation in point-slope form as y = mx + b.

Given,

y - 4 = 1/4 (x - 8)

Change the formula to y = mx + b.

So,

y - 4 = 1/4 x - 2

We have to add 4 on both sides,

y - 4 + 4 = 1/4 x - 2 + 4

y = 1/4 x + 2

As a result, the equation of the line passing through the points (8, 4) and (0, 2) has the slope-intercept form is y = 1/4 x + 2 .

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Answer:

Step-by-step explanation:

First, we can simplify the expression inside the parentheses by combining like terms:

-2(x + 12y - 5 - 17x - 16y + 4) = -2(-16x - 4y - 1)

Next, we can distribute the -2 to each term inside the parentheses:

-2(-16x - 4y - 1) = 32x + 8y + 2

Therefore, -2(x + 12y - 5 - 17x - 16y + 4) simplified is 32x + 8y + 2.

The simplified expression is 32x + 8y + 2.

Simplification of an algebrai expression can be defined as the process of writing an expression in the most efficient and compact form without affecting the value of the original expression.

The process entails collecting like terms, which implies adding or subtracting terms in an expression.

Simplify the expression -2(x + 12y - 5 - 17x - 16y + 4).

First, let's distribute the -2 to each term inside the parentheses:

-2(x) + (-2)(12y) - (-2)(5) - (-2)(17x) - (-2)(16y) + (-2)(4)

Now we'll multiply: -2x - 24y + 10 + 34x + 32y - 8

Next, we'll combine like terms:

(-2x + 34x) + (-24y + 32y) + (10 - 8)

The result is 32x + 8y + 2

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Answer:

Step-by-step explanation:

x^2(x - 7) - 5(x - 7)

(x^2 - 5)(x - 7)

Answer:

It’s C on ed 2021

Answer:

Step-by-step explanation:

Circumference formula: C = 2πr

Compare with given value and determine the radius:

Find the area of the cross-section.

Area formula: A = πr²

Area: A = 9²*π = 81π m²

Find radius

So.area

Answer: CB=3

Step-by-step explanation: Parallel lines are lines on the same plane that do not intersect. We know that there are five lines listed, but we can ignore line AD because point A was only mentioned once and is not apart of the parallelogram. So focusing on the other lines we can infer that line DC is parallel to line BE, because lines CB and DE are parallel. So given that line DE=3, than line CB=3

Answer:

No

Step-by-step explanation:

Add two sides together and see if it is greater than the third. (You have to do this with all possible combinations)

5 + 14 > 19

19 > 19

No, it isn't a triangle

14 + 19 > 5

23 > 5

19 + 5 > 14

24 > 14

To evaluate the line integral ∫ γ y^2 dz + x^2 dy along the given paths, we need to parameterize each path and compute the corresponding integrals.

(a) Path along the arc of the parabola y = x^2:

We can parameterize this path as γ(t) = (t, t^2) for t in the interval [0, 2].

The line integral becomes:

∫ γ y^2 dz + x^2 dy = ∫[0,2] t^4 dz + t^2 x^2 dy

To express dz and dy in terms of dt, we differentiate the parameterization:

dz = dt

dy = 2t dt

Substituting these expressions, the line integral becomes:

∫[0,2] t^4 dt + t^2 x^2 (2t dt)

= ∫[0,2] t^4 + 2t^3 x^2 dt

= ∫[0,2] t^4 + 2t^5 dt

Integrating term by term, we have:

= [t^5/5 + t^6/3] evaluated from 0 to 2

= [(2^5)/5 + (2^6)/3] - [0^5/5 + 0^6/3]

= [32/5 + 64/3]

= 192/15

= 12.8

Therefore, the line integral along the arc of the parabola y = x^2 is 12.8.

(b) Path along the horizontal interval followed by the vertical interval:

We can divide this path into two segments: γ1 from (0, 0) to (2, 0) and γ2 from (2, 0) to (2, 4).

For γ1, we have a horizontal line segment, and for γ2, we have a vertical line segment.

For γ1:

Parameterization: γ1(t) = (t, 0) for t in the interval [0, 2]

dz = 0 (since it is a horizontal segment)

dy = 0 (since y = 0)

The line integral along γ1 becomes:

∫ γ1 y^2 dz + x^2 dy = ∫[0,2] 0 dz + t^2 x^2 dy = 0

For γ2:

Parameterization: γ2(t) = (2, t) for t in the interval [0, 4]

dz = dt

dy = dt

The line integral along γ2 becomes:

∫ γ2 y^2 dz + x^2 dy = ∫[0,4] t^2 dz + 4^2 dy

= ∫[0,4] t^2 dt + 16 dt

= [t^3/3 + 16t] evaluated from 0 to 4

= [4^3/3 + 16(4)] - [0^3/3 + 16(0)]

= [64/3 + 64]

= 256/3

≈ 85.33

Therefore, the line integral along the horizontal and vertical intervals is approximately 85.33.

(c) Path along the vertical interval followed by the horizontal interval:

We can divide this path into two segments: γ3 from (0, 0) to (0, 4) and γ4 from (0, 4) to (2, 4).

For γ3:

Parameterization: γ3(t) = (0, t) for t in the interval [0, 4]

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In the given normal distribution with a mean of 100 and standard distribution of 15, 95% of values will fall between 70 and 130 using the Empirical rule of 95%.

It states that in a normal distribution approximately 95% of observations fall within two standard deviations from the mean on both sides of the normal curve. The normal curve's centre corresponds to the mean in a normal distribution.

The distance between the mean and the necessary point on either side in a normal distribution is known as the standard deviation.

Given: Mean = 100

Standard deviation = 15

Apply the 95% rule we get,

The normal curve's right side

Mean + 2 x standard deviation

= 100 + 2x 15

= 100 + 30

= 130.

The normal curve's left side,

Mean - 2 x standard deviation  

= 100 - 2x15

= 100 - 30

= 70.

Thus, we see that by using the Empirical rule of 95%, 95% values will fall between 70 and 130.

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Given :

⠀

To find :

⠀

Solution :

⠀

We know,

\({ \longrightarrow{\qquad \sf{ \pmb {\dfrac{1}{2 } \times (b_{1} + b_{2}) \times h = {Area_{(Trapezoid)} } }}}}\)

⠀

Now, Substituting the values :

⠀

\({ \longrightarrow{\qquad \sf{ {\dfrac{1}{2 } \times (2 + 6) \times h = {60 } }}}}\)

⠀

\({ \longrightarrow{\qquad \sf{ {\dfrac{1}{2 } \times 8 \times h = {60 } }}}}\)

⠀

\({ \longrightarrow{\qquad \sf{ {\dfrac{8}{2 } \times h = {60 } }}}}\)

⠀

\({ \longrightarrow{\qquad \sf{ 4 \times h = {60 } }}}\)

⠀

\({ \longrightarrow{\qquad \sf{ h = { \dfrac{60}{4} } }}}\)

⠀

\({ \longrightarrow{\qquad \sf{ \pmb { h = {15} } }}}\)

⠀

Therefore,

Answer:

  1994

Step-by-step explanation:

After 1 year, the balance has been multiplied by 1.05. After t years, it has been multiplied by 1.05^t.

You want to find t such that ...

  100(1.05^t) > 520

  1.05^t > 5.20

  t×log(1.05) > log(5.20) . . . . take logarithms

  t > log(5.20)/log(1.05) ≈ 33.8

The account balance will exceed $520 after interest is added in ...

  1960 +34 = 1994

Given:

Required:

To find the limit value of the given function.

Explanation:

Cancel out the same terms from the numerator and denominator.

Now apply the limit.

Final Answer:

The limit value of the given function is

Answer:

76%

Step-by-step explanation:

\(\frac{19}{25}\) × 100% = 76%

Answer:

I think the answer is 131 I'm not really sure I have no brain.

Step-by-step explanation:

Probability equation of P(A/B)=  \(\frac{0.31}{0.31+0.17}=0.65\)

let say A and B is not empty set then intersection of A and B is  a set of elements which are common in both two sets A and B .

given that A and B are two events and

probability of A= 0.31+0.30=0.61

probability of B= 0.31+0.17=0.48

probability of intersection of A and B is = 0.31

so,

P(A/B)= is the probability of event A occurring, given that event B occurs.

P(A/B) = intersection of A and B / probability of B

P(A/B) = \(\frac{0.31}{0.31+0.17}=0.65\)

therefore , probability of PA/B) = 0.65  

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Answer:

4/7

Step-by-step explanation:

6-2/2+5=4/7=.57142857142 but usually you can just keep it as a fraction

The Pearson correlation coefficient (r) is used to discover styles in matters while the coefficient of determination (R²) is used to discover the electricity of a model.

R-Squared is a statistical degree of healthy that suggests how a good deal version of a established variable is defined through the unbiased variable(s) in a regression version.Interpretation of R-squared/Adjusted R-squared.

R-squared measures the goodness of healthy of a regression version. Hence, a better R-squared suggests the version is a great healthy even as a decrease R-squared suggests the version isn't an awesome healthy.

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Answer:

C.

Step-by-step explanation:

You are looking for an equation that, when you input 0 for x, you get 4 for y, and when you input -5 for x, you get -1 for y.

That only works for Option C.

Hope this [sorta] helps!

Answer:

C

Step-by-step explanation:

C

Answer:

2((6(14) + 6(5) + 14(5)) = 2(84 + 30 + 70) =

2(184) = 368 square centimeters

The value of the greater integer as described in the task content is; -8.

It follows from the task content that the sum of an integer and 2 times the next consecutive integer is -25.

Hence, we have;

x + 2(x+1) = -25

3x +2 = -25

3x = -27

x = -9.

Therefore, the next consecutive integer is; (x+1) = -9 + 1 = -8.

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Answer:

Step-by-step explanation:

ΔA = 90° - 31°

= 59°

sin A = perpendicular ÷ base

sin 59° = 400 ft ÷ y

1.6643 = 400 ft ÷ y

y = 400 ÷ 1.6643

y = 240.34 ft

The amount of cement needed is 609 cubic ft.

The amount of cement needed for the job can be calculated by finding the difference between the volume of the outer cistern and the volume of the inner cistern.

The volume of the outer cistern can be found using the formula for the volume of a cylinder, V = πr²h, where r is the radius and h is the height. The outer radius is half the outer diameter, or 10ft/2 = 5ft. The outer height is 20ft. So the volume of the outer cistern is:

V = π(5ft)²(20ft) = 1570.8 cubic ft

The volume of the inner cistern can be found using the same formula, but with the inner radius and inner height. The inner radius is the outer radius minus the thickness of the walls, or 5ft - 1ft = 4ft. The inner height is the outer height minus the thickness of the bottom, or 20ft - 1ft = 19ft. So the volume of the inner cistern is:

V = π(4ft)²(19ft) = 961.6 cubic ft

The difference between the two volumes is the amount of cement needed:

1570.8 cubic ft - 961.6 cubic ft = 609.2 cubic ft

To the nearest cubic foot, the amount of cement needed is 609 cubic ft.

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The interest earned increases with higher principal amounts, higher interest rates, and longer time periods.

Principal (P) | Interest Rate (r) | Time Period (t) | Interest Earned (I)

$1,000 | 2% | 1 year | $20

$5,000 | 4% | 2 years | $400

$10,000 | 3.5% | 3 years | $1,050

$2,500 | 1.5% | 6 months | $18.75

$7,000 | 2.25% | 1.5 years | $236.25

To calculate the interest earned (I), we can use the simple interest formula: I = P * r * t.

For the first row, with a principal of $1,000, an interest rate of 2%, and a time period of 1 year, the interest earned is calculated as follows: I = $1,000 * 0.02 * 1 = $20.

For the second row, with a principal of $5,000, an interest rate of 4%, and a time period of 2 years, the interest earned is calculated as follows: I = $5,000 * 0.04 * 2 = $400.

For the third row, with a principal of $10,000, an interest rate of 3.5%, and a time period of 3 years, the interest earned is calculated as follows: I = $10,000 * 0.035 * 3 = $1,050.

For the fourth row, with a principal of $2,500, an interest rate of 1.5%, and a time period of 6 months (0.5 years), the interest earned is calculated as follows: I = $2,500 * 0.015 * 0.5 = $18.75.

For the fifth row, with a principal of $7,000, an interest rate of 2.25%, and a time period of 1.5 years, the interest earned is calculated as follows: I = $7,000 * 0.0225 * 1.5 = $236.25.

These calculations show the interest earned for different savings principals, interest rates, and time periods.

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Answer:

domain: all real numbers

range : y ≥ 7

Step-by-step explanation:

The domain is the values that x can take

X can take any value so the domain is all real numbers

The range is the values that y can take

The smallest value  for the absolute value is 0

0+7 =7 so the smallest value for y is 7

range is y ≥ 7

Answer: The first one, the last one,

Step-by-step explanation:

A parallelogram that must be a square can be described by the statement: "A parallelogram in which all angles are right angles (90 degrees) is a square."

In a parallelogram, opposite sides are parallel and congruent, and opposite angles are also congruent. However, for a parallelogram to be a square, it must have additional properties:

All angles are right angles: In a square, all four angles are equal and measure 90 degrees. This distinguishes a square from a general parallelogram where the angles can be acute or obtuse.

All sides are congruent: In a square, all four sides are equal in length. This equality of side lengths sets a square apart from a rectangular parallelogram, where only opposite sides are congruent.

Diagonals are congruent and bisect each other at right angles: The diagonals of a square are equal in length and intersect at right angles, dividing the square into four congruent right triangles.

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Complete question:

Which statement describes a parallelogram that must be a square? A parallelogram with opposite sides that are congruent and diagonals that bisect the angles. A parallelogram with a right angle and diagonals that bisect the angles. A parallelogram with a right angle and opposites sides that are congruent. A parallelogram with all sides congruent.

Answer:

Hii! so are you asking for the answer to a graph? do you want the point?

If you do then I think it is (7a, -3) I might be wrong let me know if I am and I'll fix it.

Step-by-step explanation:

Answer:

,2.5

25/10

5/2 I hope it is a right answers

Answer:

B

Step-by-step explanation: Because for inverse functions, domain and range of functions exchange. In simple words, domain of function h(x) = range of inverse function & range of function h(x) = domain of inverse function.