Can someone please help me as soon as possible, I need the answer.

The pattern in converting logarithmic form to exponential form and vice versa is this:

For the first exponential equation that is 16 = 8^4/3, our y = 16, b = 8, and x = 4/3. Let's plug this in the logarithmic pattern.

The logarithmic form of the first equation is log₈ 16 = 4/3.

Now, let's move to the second one.

b = 5, y = 15, 625, and x = 6. Let's plug these in to the exponential pattern.

Hence, the exponential form of the second equation is 15, 625 = 5⁶.

Answer:

There are 88 two bedroom units and 107 three bedroom units.

Step-by-step explanation:

Consider the provided information.Let x is the number of two-bedroom units and y is the number of three-bedroom units.Real estate​ developer, built 195 condominiums in​ McCall, Idaho.The total number of bedrooms in the entire complex is 497​.Substitute the value of x in above equation.Substitute y = 107 in .Hence, there are 88 two bedroom units and 107 three bedroom units.

The triangle with side lengths √35 , √14 , 7 is a right triangle.

What is the right triangle?

A right-angle triangle is a triangle that has one of its angles 90 degrees. The sum of angles in a right triangle is 180 degrees.

p² + b² = h² ( In a right-angled triangle)

p = perpendicular of the triangle

b = base of the triangle

h = hypotenuse of the triangle

According to the Pythagoras theorem:

p² + b² = h² (In a right-angled triangle)

In Option D

(√35)² + (√14)² = 7²

49 = 49

Pythagoras theorem is followed in this triangle, hence it is a right angled triangle.

Hence, The triangle with side lengths √35, √14, 7 is a right triangle.

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The ratio of the volume of water in Jug B to the volume of water in Jug C is 35:18.

Let's assume the volume of water in Jug B is x.

According to the given information, Jug A contains 6/7 as much water as Jug B. Therefore, the volume of water in Jug A can be calculated as (6/7) * x.

Similarly, Jug C contains 3/5 as much water as Jug A. Hence, the volume of water in Jug C can be expressed as (3/5) * [(6/7) * x].

To find the ratio of the volume of water in Jug B to the volume of water in Jug C, we divide the volume of water in Jug B by the volume of water in Jug C:

(x) / [(3/5) * (6/7) * x]

Simplifying the expression, we get:

x / (18/35 * x)

The x values cancel out, leaving us with:

1 / (18/35)

To simplify further, we multiply the numerator and denominator by the reciprocal of the denominator:

1 * (35/18)

The final ratio is:

35/18

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The volume of the circular cylinder be,

⇒ 62.8 mm³

Given that,

For a circular cylinder,

Height = 5 mm

Radius = 2 mm

Then we have to find the volume of this circular cylinder

Since we know that,

The right circular cylinder is a cylinder with circular bases that are parallel to each other. It's a three-dimensional form. The axis of the cylinder connects the centers of the cylinder's two bases.

This is the most frequent sort of cylinder encountered in daily life. The oblique cylinder, on the other hand, does not have parallel bases and resembles a skewed construction.

volume of circular cylinder = πr²h

Here we have,

r = 2 mm

h = 5 mm

Now put the values into the formula we get,

Volume = π x 2² x 5

             = 62.8 mm³

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Answer:  23 ÷ 34 = 0.6764705882352942

i will show faction

FACTION   8/9

Answer:

Hello,

Step-by-step explanation:

m∠DHG=(11x-36)°

m∠GHF=(x+12)°

(11x-36)°+(x+12)°=180°

12x-24=180

x=17

m∠arc DG=(11*17-36)°=151°

Answer:

4

Step-by-step explanation:

Answer:

$4.00

Step-by-step explanation:

I used a calculator.

Answer:

1,208.92613

Step-by-step explanation:

this is the answer

Step-by-step explanation:

We can simplify the given expression using the rules of absolute values:

l-80-20l – 100 + l-100l

= -(20l + 80) - 100 + 100 (since |x| = -x when x is negative)

= -20l - 80

= -20(l + 4)

Therefore, the simplified expression is -20(l + 4).

Answer:

100

Step-by-step explanation:

\( | - 80 - 20| - 100 + | - 100| \\ = | - 100| - 100 + | - 100| \\ = 100 - 100 + | - 100| \\ = | - 100| \\ = \boxed{100}\)

____________

hope it helps!

Answer:

B.(-3,0)

Step-by-step explanation:

i just finished the test

(-3,0) point is a solution to the inequality shown in this graph.

Inequality is a sort of equation in which the equal sign is missing. As we will see, inequality is defined as a statement regarding the relative magnitude of two claims.

There are two solutions os inequality are;

(0,4)

(-3,0)

But only one solution is given in the graph as;

(-3,0)

Hence, the (-3,0) is the point that is a solution to the inequality shown in this graph. Option B is correct.

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Answer:

C x =  (-5+sqrt(-3))/2

D x = ( -5-sqrt(-3))/2

Step-by-step explanation:

Set the polynomial equal to zero

x^2 + 5x+7 =0

Subtract 7 from each side

x^2 + 5x+7-7 =-7

x^2 + 5x = -7

Complete the square by taking the coefficient of x and dividing by 2 and then squaring it

(5/2)^2 = 25/4

x^2 + 5x + 25/4 = -7+25/4

(x+5/2)^2 = -28/4 +25/4

(x+5/2)^2 = -3/4

Take the square root of each side

x+5/2 = ±sqrt(-3/4)

Subtract 5/2 from each side

x+5/2 -5/2 = -5/2±sqrt(-3/4)

x =  -5/2±sqrt(-3/4)

x =  -5/2±sqrt(-3)/2

x =  (-5±sqrt(-3))/2

Answer: D

Step-by-step explanation:

The form of the slope-point of the linear equation is

y - y1 = m(x - x1)

m is the slope of the line

(x1, y1) is a point on the line

The rule of the slope is

(x1, y1) and (x2, y2) are two points on the line

The line passes through points (4, 5) and (-3, -1)

x1 = 4 and y = 5

x2 = -3 and y2 = -1

Substitute them in the rule of the slope to find it

Let us substitute it in the form of the equation above and use point (-3, -1)

The answer is D

Answer:

36

Step-by-step explanation:

Step 1: Define

c = 6

c²

Step 2: Substitute and Evaluate

6²

36

Answer:

-5/16 or -0.3125

Step-by-step explanation:

Answer:

-11/12

Step-by-step explanation:

Fyi you can use the app photo math you just take a pic of the problem and it gives you the answer and explains the steps and it is free.

Answer:

3x-10=7x+5

Step-by-step explanation:

Answer:

I think its 4x^7y^7-2x^6y^6

Step-by-step explanation:

To find the area of the figure, we need to divide the area into 3 figures as shown above.

Hence, the right answer is

3 rectangles

√27 - √3

= 3√3 - √3

= 2√3

I think the answer is the second one.

Answer:

To find the z-score, we use the formula:

z = (x - mu) / (sigma / sqrt(n))

where:

x = sample mean = $5100

mu = population mean = $5000

sigma = population standard deviation = $250

n = sample size = 64

Substituting the values, we get:

z = (5100 - 5000) / (250 / sqrt(64))

z = 2.56

Therefore, the z-score that corresponds to a sample average of $5100 is 2.56 (rounded to four decimals).

Step-by-step explanation:

I clicked on the black picture. thought is was the box to enter the answer.

Answer:

1) 2

2) -2

Step-by-step explanation:

1)

x - 5 = -3

Add 5 to both sides

x = 2

2)

3 - 2x = x + 9

Add 2x to both sides.

3 = 3x + 9

Subtract 9 from both sides

-6 = 3x

Divide both sides by 3

-2 = x

x = -2

Hope this helps you understand! :D

Answer:

D: 14.5

Step-by-step explanation:

4.1 = d - 10.4    add 10.4 to each side

14.5 = d

Answer:

14.5

Step-by-step explanation:

10.4 - 4.1 = 14.5

Answer:

Step-by-step explanation:

So 5.40 divided by 12

Answer:

We use the rule,

\((a^b)^c = a^{bc}\)

a. (10^7)²

\((10^7)^2 = 10^{(7)(2)} = 10^{14}\)

10^14

b. (10^9)³

\((10^9)^3 = 10^{(9)(3)} = 10^{27}\)

10^27

c. (10^6)³

\(10^{(6)(3)}= 10^{18}\)

10^18

d. (10^2)³

\(10^{(2)(3)} = 10^{6}\)

10^6

e. (10³)²

\(10^{(3)(2)}=10^{6}\)

10^6

f. (10^5)^7

\(10^{(5)(7)} = 10^{35}\)

10^35

Step-by-step explanation:

The distance from the bottom of the building to the point where the ladder is touching the building for triangle 2, obtained using trigonometric ratio of tangent is 12 feet. The correct option is therefore;

12 feet

The trigonometric ratios are the value relationship between an interior angle of a right triangle and two of the sides of the triangle.

The right triangles are similar, therefore, the tangent of the angle the ladder makes with the ground are the same, which indicates;

tan(θ) = (Length of the side facing the angle θ) ÷ (Length of the side adjacent to the angle θ)

The side facing the angle is the distance from the bottom to the point where the ladder touches the building.

The adjacent to the angle is the horizontal distance from the bottom to the ladder to the building.

Therefore; tan(θ) = 18/12 = x/8

Where x = The distance from the bottom of the building to the point the ladder touches the building for triangle 2

18/12 = x/8

x = 18/12 × 8 = 12

The distance, x = 12 feet

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Answer:

12?

Step-by-step explanation:

I'm not too sure! I am in the middle of taking the test right now.

Answer:

The correct option is (D) one of the non-fiction books on the bottom shelf and a second non-fiction book from the bottom shelf.

Step-by-step explanation:

What is probability?

Probability is the branch of mathematics that deals with numerical descriptions of how probable an event is to occur or how likely it is that a claim is true.

To find which 2 books describe a pair of dependent events:

A pair of two dependent events are simply those in which the selection of the second item is contingent on the selection of the first item, causing the probability to change.

Because the sample size is lowered when the initial item is taken without replacement, choosing the exact same item reduces the chance.

Now, in regard to the question, this means that for two of the occurrences to be independent, they must be on the same shelf and of the same type of book, so that the second book cannot be selected until the first one is.

Option D, where both books are on the same shelf and are of the same type, is the only option that fulfills this requirement.

Therefore, the correct option is (D) one of the non-fiction books on the bottom shelf and a second non-fiction book from the bottom shelf.

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Answer:

Question 1 : Pierre is right

Question 2 : 0.85 (because 1 - 0.15 = 0.85)

Question 3 : Less than 1

Step-by-step explanation:

Answer:

\(Selection = 67249\ ways\)

Step-by-step explanation:

Given

\(Men = 8\)

\(Women = 15\)

\(Committee = 6\)

Required

Determine the number of selections if the committee must have more women

To have more women, the selection has to be:

(4 women and 2 men) or (5 women and 1 man) or (6 women and 0 man)

Where each selection is calculated using:

\(^nC_r = \frac{n!}{(n - r)!r!}\)

So, the selection is calculated as thus:

\(Selection = (^{15}C_4 * ^{8}C_2) + (^{15}C_5 * ^{8}C_1) + (^{15}C_6 * ^{8}C_0)\)

\(Selection = (\frac{15!}{(15 - 4)!4!} * \frac{8!}{(8 - 2)!2!}) + (\frac{15!}{(15 - 5)!5!} * \frac{8!}{(8 - 1)!1!}) + (\frac{15!}{(15 - 6)!6!} * \frac{8!}{(8 - 0)!0!})\)

\(Selection = (\frac{15!}{11!4!} * \frac{8!}{6!2!}) + (\frac{15!}{10!5!} * \frac{8!}{7!1!}) + (\frac{15!}{9!6!} * \frac{8!}{8!0!})\)

\(Selection = (\frac{15 * 14 * 13 * 12}{4 * 3 * 2 * 1} * \frac{8 * 7}{2 * 1}) + (\frac{15 * 14 * 13 * 12 * 11}{5*4*3*2*1} * \frac{8}{1}) + (\frac{15 * 14 * 13 * 12 * 11 * 10}{6*5*4*3*2*1} * \frac{1}{1})\)

\(Selection = (\frac{32760}{24} * \frac{56}{2}) + (\frac{360360}{120} * 8) + (\frac{3603600}{720})\)

\(Selection = (1365 * 28) + (3003 * 8) + (5005)\)

\(Selection = 38220 + 24024 + 5005\)

\(Selection = 67249\ ways\)