What is the value of x in 2(5*) = 14
O A.log 7 log 5
OB. log 7 /log 5
O C. log 5 / log 7
O D. log 2

Answer:

Step-by-step explanation:

Since the land is a round enclosure, and it has 2.5 foot wide enclosure of pebbles surrounding, then the circumference of the garden is 2.5ft.

First we need to get the diameter of the garden using the formula;

Circumference= πd

2.5 = πd

d = 2.5/π

d = 2.5/3.142

d =0.796 feet

The total area of a round section of the land = πd²/4

The total area of a round section of the land = π(0/796)²/4

The total area of a round section of the land  = 1.9892/4

The total area of a round section of the land  = 0.4973 ft²

Answer:

5.73

Step-by-step explanation:

The difference is 5.73.

Answer: b

Step-by-step explanation: b

Answer:

Isn't that 26?

Step-by-step explanation:

Um for work I normally do \(\frac{25}{100}\) times \(\frac{104}{100}\) and then yk simplify. when u multiply those too you get \(\frac{2600}{10000}\) which is 26 ( I think sorrry if I'm wrong)

Answer:

-23.8 and +23.8

Step-by-step explanation:

Answer:

The 95% confidence interval lies between -23.8 and +23.8

Step-by-step explanation:

I just did it on Edmentum.

Answer:

A'(2,5)

Step-by-step explanation:

The position of point A is at (-2,5), and when you reflect it over the y-axis, you just have to switch the signs of the x-coordinate value.

Answer:

A'(2, 5)

Step-by-step explanation:

If the triangle is reflected over y-axis, the y-axis will be a symmetry line then the distance between A and y will remain the same but opposite sign which is 2 units ( -2 become 2 )

A minor treatment effect may nonetheless be significant under certain circumstances if the sample size is large and the sample variance is low.

Therefore, a minor treatment effect may nonetheless be significant under certain circumstances if the sample size is large and the sample variance is low.

Learn more about the standard error here:

brainly.com/question/16555520

#SPJ4

Answer:

560÷c = p (p is price of one btw)

Step-by-step explanation:

Answer:

47.5 ft^2

Step-by-step explanation:

5x9.5 = 47.5 ft^2

The probability of at least one of the next four randomly selected births being a boy can be calculated as approximately 0.992.

To find the probability of at least one boy, we can calculate the probability of the complementary event, which is the probability of all four births being girls.

The probability of a single birth being a girl is 0.473, so the probability of all four births being girls is :

\((0.473)^4 = 0.049\)

Therefore, the probability of at least one boy is 1 - 0.049 = 0.951. However, this probability represents the chance for any of the four births to be a boy. Since there are four opportunities for a boy to be born, we need to consider the complement of no boy being born in any of the four births, which is \((1 - 0.951)^4\)≈ \(0.992\\\). Hence, the probability that at least one of the next four births is a boy is approximately 0.992.

Learn more about probability here:

https://brainly.com/question/32004014

#SPJ11

The inverse function of f(x) = 4x is:

f⁻¹(x) =  (1/4)*x

So the correct option is the fourth one.

For any function f(x) we define the inverse f⁻¹(x) such that:

f(f⁻¹(x))  =x

f⁻¹(f(x)) = x

In this case we have f(x) = 4*x

Then the inverse is also a linear function:

f⁻¹(x) = a*x + b

Using the rules for inverses we get:

f⁻¹(f(x)) = a*f(x) + b = a*(4x) + b = x

a*(4x) + b = x

Then we have b = 0

a*4x  = x

a*4 = x/x

a*4 = 1

a = 1/4

The inverse is:

f⁻¹(x) =  (1/4)*x

The correct option is the last one.

Learn more about inverse functions:

https://brainly.com/question/14391067

#SPJ1

Answer:60

Step-by-step explanation:

12 x 5 = 60

Answer:

42/50 x2 =84%

Step-by-step explanation:

Answer:

Factor by Grouping

2\(x^{3}\) + 5\(x^{2}\)  - 8x - 20

2\(x^{3}\) + 5\(x^{2}\)

\(x^{2}\) (2x + 5)

-8x - 20

-4 (2x + 5)

(2x + 5) (\(x^{2}\) - 4)

(2x + 5) (x - 2) (x + 2)

Solution:

Putting the terms, which have something in common, in brackets:

Factor them by taking the common terms outside the bracket.

Factor by taking the common expression out of the brackets:

The multiplier (x² - 4) is in squared form.

Square root the multiplier of (2x + 5)(x² - 4), aka (x² - 4):

The factorized form is (2x + 5)(x - 2)(x + 2).

The total cost is the sum of the pizza and the tip. The value of the tip is 15% of the cost of the pizza. Percentage is expressed in terms of 100. The value would be

15/100 * 39 = 5.85

The total cost would be

39 + 5.85 = 44.85

Rounding to the nearest cent, it becomes $44.90

Answer:

44.90 gotta round the the nearest cent

Ordered pair is represented by the function g(4) = 22 is (4,22)

An ordered pair is a pair of mathematical elements written in a specific order, typically represented by the notation (a, b). The first element in the pair is called the x-coordinate, while the second element is called the y-coordinate. The order of the elements is important, so (a, b) is not the same as (b, a) unless a = b.

Ordered pairs are commonly used in mathematics to represent points in the Cartesian plane, where the x-coordinate represents the horizontal distance from the origin and the y-coordinate represents the vertical distance from the origin. They can also be used to represent solutions to equations, inputs and outputs of functions, and many other mathematical concepts.

Given Function

g(4)=22

For the value of x=4

The output of function is y=22

So, the ordered pair is (4,22).

To know more about coordinate, visit:

https://brainly.com/question/16634867

#SPJ1

Answer:

The average distance between the Earth and the Moon is 384 400 km (238 855 miles). The Moon's elliptical orbit with the distances at apogee and perigee.

The average distance between Earth and the Moon is 384 400 km (238 855 miles). the moon's elliptical orbit and the distances between its apogee and perigee.

Distance is a measurement of how far apart two things or points are, either numerically or occasionally qualitatively.

The distance can refer to a physical length in physics or to an estimate based on other factors in common usage.

The term is also frequently used metaphorically to denote a measurement of the degree of separation between two similar objects (such as statistical distance between probability distributions or edit distance between strings of text).

This is because spatial cognition is a rich source of conceptual metaphors in human thought (as exemplified by the distance between people in a social network).

Earth and the Moon are typically separated by 384 400 km (238 855 miles). The elliptical orbit of the moon with its apogee and perigee distances.

Therefore, the average distance between Earth and the Moon is 384 400 km (238 855 miles). the moon's elliptical orbit and the distances between its apogee and perigee.

Know more about distance here:

https://brainly.com/question/26550516

#SPJ4

Answer:

the answer is 23

Step-by-step explanation: use the formala of a triangle

which means you either add or subtract the sides and since it is the big side you  are missing you have to add and when you do you get 23

By the triangle congruence we can use the SSA method to prove the base angles are congruent.

If two or more triangles are congruent, it depends on how big their sides and angles are. The three sides and three angles of a triangle determine its size and shape, accordingly. Two triangles are said to be congruent if the pairings of respective sides and corresponding angles are equal.

These are exactly the same size and shape. There are several different congruence conditions that triangles might meet.

In the figure given,

It is necessary to demonstrate the congruence of the triangles PYX and QXY.

Both triangles have the same XY base.

PX must equal QY because the lines PX and QY are perpendicular on congruent sides.

Angles PYX and QXY are equal since the axiom "Angles opposed to equal sides are equal" states that they are.

As a result, it can be shown that the two triangles PYX and QXY have two sides and an equal angle.

As a result, using SSA criteria, the two triangles will be congruent.

Hence, option C is the best one.

To know more about congruent triangles, visit:

https://brainly.com/question/22062407

#SPJ1

A lifeline in a sequence diagram is a line that is used to represent an active object, such as a class, interface, or object, and is typically identified by a solid line.

A lifeline in a sequence diagram is a graphical element used to depict the active objects in an interaction or sequence diagram. The lifeline is typically represented as a solid line running from the top of the diagram to the bottom, which represents the object's lifetime. The lifeline is used to show the messages that are sent and received between objects, as well as the sequence in which they occur. Additionally, the lifeline is often used to represent any changes of state in the objects, such as method calls, data values, and more. By depicting the lifelines of the active objects in a sequence diagram, it is possible to gain a better understanding of the interactions between the objects, and how they are related.

Learn more about sequence here

https://brainly.com/question/21961097

#SPJ4

The value of Milton Industries with leverage is $131.52 million.

Milton Industries expects free cash flows of $20 million each year.

Milton's corporate tax rate is 22%, and its unlevered cost of capital is 16%.

Milton also has outstanding debt of $26.48 million and it expects to maintain this level of debt permanently.

a. Value of Milton Industries without leverage: Formula to calculate the value of a firm without leverage is; VL = VU + (PV of Tax shield) Where, VL = Value of the firm with leverage VU = Value of the firm without leverage PV of Tax Shield = Present Value of Tax Shield Expected Free Cashflows of Milton Industries = FCF = $20 million

Corporate Tax rate = T = 22%Unlevered

Cost of Capital = Ku = 16%Debt of Milton Industries = D = $26.48 million

Weighted Average Cost of Capital = WACC = Ku (1 - T)PV of Tax Shield = D x T x (1 - T) = $6.52 million VL = VU + PV of Tax Shield VU = FCF / Ku = $125 million VL = $125 + $6.52 = $131.52 million

b. Value of Milton Industries with leverage: VL = VU + PV of Tax Shield PV of Tax Shield = D x T x (1 - T) = $6.52 million VL = VU + PV of Tax Shield VU = FCF / Ku = $125 million VL = VU + PV of Tax Shield = $125 + $6.52 = $131.52 million. Therefore, The value of Milton Industries without leverage is $125 million. The value of Milton Industries with leverage is $131.52 million.

Learn more about leverage:https://brainly.com/question/28195875

#SPJ11

Given data:

The given triangles.

The given trinagles are similar.

Thus, the (D) option is correct.

Answer: x midpoint 6.5 y midpoint -2.5

Step-by-step explanation:

Answer:

(6.5,-2.5)

Step-by-step explanation:

midpoint=( X1+X2/2 , Y1+Y2/2)

midpoint= (10+3/2 , 1+-6/2)

midpoint =(6.5,-2.5)

Step 1. The two functions we have are:

And we are asked to find the composite function f(g(x)) and the domain.

Step 2. The function that we need to find is:

To find this, we substitute g(x) into the x value of f(x):

Step 3. Simplifying:

The square root and the power of two cancel each other

Distributing the multiplication by 2:

Combining the like terms:

Step 4. Find the domain. The domain is the set of possible values that the x variable can take.

Remember the two original functions:

for f(x) x can take any value. But for g(x) the square root cannot be a negative number, therefore, x-2 has to be equal to or greater than 0:

Solving for x:

This domain also applies to the composite function f(g(x)), and it can be written as follows:

Answer: Option four

The required probabilities are as follows:

(a) P(A') = 0.6

(b) P(A∪B) = 0.5

(c) P(A'∩B) = 0.1

(d) P(A∩B') = 0.3

(e) P[(A∪B)'] = 0.5

(f) P(A'∪B) = 0.7

Let's determine the probabilities using the provided information:

(a) P(A'): This represents the probability of the complement of event A, which is everything that is not in A.

P(A') = 1 - P(A) = 1 - 0.4 = 0.6

(b) P(A∪B): This represents the probability of either event A or event B occurring.

P(A∪B) = P(A) + P(B) - P(A∩B) = 0.4 + 0.2 - 0.1 = 0.5

(c) P(A'∩B): This represents the probability of the intersection of the complement of event A and event B.

P(A'∩B) = P(B) - P(A∩B) = 0.2 - 0.1 = 0.1

(d) P(A∩B'): This represents the probability of the intersection of event A and the complement of event B.

P(A∩B') = P(A) - P(A∩B) = 0.4 - 0.1 = 0.3

(e) P[(A∪B)']: This represents the probability of the complement of the union of event A and event B.

P[(A∪B)'] = 1 - P(A∪B) = 1 - 0.5 = 0.5

(f) P(A'∪B): This represents the probability of the union of the complement of event A and event B.

P(A'∪B) = P(A') + P(B) - P(A'∩B)

          = 0.6 + 0.2 - P(A'∩B)  (Note: P(A'∩B) is obtained in part (c))

Substituting the value of P(A'∩B) from part (c):

P(A'∪B) = 0.6 + 0.2 - 0.1 = 0.7

To know more about probabilities refer here:

https://brainly.com/question/33629317#

#SPJ11

Answer:

Step-by-step explanation:

1:10

The required ratio of m and p using the given equation is 1:10.

Use the concept of ratio defined as:

A ratio indicates how many times one number contains another number. The ratio of two numbers is written as x: y, which is equivalent to x/y.

Where x and y are individual amounts of two quantities.

And, the Total quantity is given after combining as x + y.

Given that,

n = 2m    .....(i)

p = 5n     .....(ii)

The objective is to find the ratio m:p

To find the required ratio

Divide equation (i) by p,

Therefore,

\(\dfrac{n}{p} = \dfrac{2m}{p}\)

Substitute the value of p from equation (ii),

\(\dfrac{n}{5n} = \dfrac{2m}{p}\)

Divide both sides by 2

\(\dfrac{m}{p} = \dfrac{1}{10}\\\\m:p = 1:10\)

Hence,

The ratio m:p = 1:10.

Learn more about the ratio visit:

https://brainly.com/question/12024093

#SPJ4

We can conclude that the value of det(A²B⁽ᵀ⁾) is 4.

Given the matrices A and B are nxn matrices, and det(A) = -1 and det(B) = 4.

To find the determinant of A²B⁽ᵀ⁾ we can use the properties of determinants.

A² has determinant det(A)² = (-1)² = 1B⁽ᵀ⁾ has determinant det(B⁽ᵀ⁾) = det(B)

Thus, the determinant of A²B⁽ᵀ⁾ = det(A²)det(B⁽ᵀ⁾)

= det(A)² det(B⁽ᵀ⁾)

= (-1)² * 4 = 4.

The value of det(A²B⁽ᵀ⁾) = 4.

As per the given information, A and B both are nxn matrices, and det(A) = -1 and det(B) = 4.

We need to find the determinant of A²B⁽ᵀ⁾

.Using the property of determinants, A² has determinant det(A)² = (-1)² = 1 and B⁽ᵀ⁾ has determinant det(B⁽ᵀ⁾) = det(B).Therefore, the determinant of

A²B⁽ᵀ⁾ = det(A²)det(B⁽ᵀ⁾)

= det(A)² det(B⁽ᵀ⁾)

= (-1)² * 4 = 4.

Thus the value of det(A²B⁽ᵀ⁾) = 4.

Hence, we can conclude that the value of det(A²B⁽ᵀ⁾) is 4.

To know more about matrices visit:

brainly.com/question/30646566

#SPJ11

Option C is the correct answer. The 95% confidence interval is (22.12,27.48)

A confidence interval is defined as the mean of the estimation of the plus and minus is the variation in estimation, and if the confidence interval does not include the value of zero effect, then it can be determined as the significant result.

It also embraces the value of no difference between treatments that are indicating to the treatment under investigation that is not significantly different from the control.

The given data is:

Significance level:

\(α=1-0.95=0.05\)

Sample size  n= 8, so we use a t-test.

Critical values using t-distribution:

\( \frac{t_{n} - 1 \alpha }{2} = t_{7} .0.025 = 2.365\)

Sample mean,

\(x=24.8\)

Standard deviation,

\(σ=3.2 hours\)

The confidence interval for population means is given by:-

\(x±tₙ₋₁,α/₂σ/√n\\

24.8±(2.365)32/√8 \\

24.8±2.6756 \\

24.8±2.68 \\

24.8-2.68, 24.8+2.68 =22.12,27.48\)

Hence, the 95% confidence interval, is normally distributed in the interval of (22.12, 27.48)

To know more about the confidence interval:

brainly.com/question/13251473

#SPJ4