the meaning of logarithm

Answer:

Correct Answer is D.

Step-by-step explanation:

Solve for tanx,

3tan2x−√3tanx=0

√3tanx(√3tanx−1)=0

Thus tanx=0,tanx=1√3

For tan x =0, the principal solution is x=0,π

For tanx=1√3, the principal solution would be x=π/6,7π/6

The solutions are x = nπ, where n is any integer.

We are given the trigonometric equation 3 tan(x) = √3 tan(x). To solve for x:

x = nπ where n is any integer.

This represents all angles where the tangent is zero.

Answer:

0.6

Step-by-step explanation:

Given the simulation data

(8,2) (9,3) (4,0) (5,8) (2,7) (2,0) (5,4) (8,0) (0,4) (9.1)

(9,6) (6,5) (4,4) (1,7) (0,4) (8,5) (8,8) (1,7) (3,5) (0,3)

These pairs are:

(4,0)  (2,7) (2,0) (5,4)  (0,4) (6,5) (4,4) (1,7) (0,4) (1,7) (3,5) (0,3)

There are a total of 12 cases where the player makes both throws.

Therefore:

P(Player makes both throws)=12/20=0.6

Answer:

C

Step-by-step explanation:

It would be -12 to go to the last cube so u subtract 12 from every number then multiply the numbers

The correct answer is option B. The volume of box D is approximately 1,715 cubic centimeters.

To find the volume of box D, we'll start by determining the dimensions of each box in sequence from box A to box D. We'll then calculate the volume of box D.

Step-by-Step Process

1. Determine the dimensions of box A:

Length [tex]\( L_A = 32 \) cm[/tex]

Breadth [tex]\( B_A = 25 \) cm[/tex]

Height [tex]\( H_A = 16 \) cm[/tex]

2. Calculate the volume of box A:

[tex]\[ V_A = L_A \times B_A \times H_A = 32 \times 25 \times 16 \][/tex]

[tex]\[ V_A = 12800 \text{ cubic centimeters} \][/tex]

3. Determine the dimensions of box B:

Each dimension is 3.5 cm less than the corresponding dimension of box A.

Length [tex]\( L_B = L_A - 3.5 = 32 - 3.5 = 28.5 \) cm[/tex]

Breadth [tex]\( B_B = B_A - 3.5 = 25 - 3.5 = 21.5 \) cm[/tex]

Height [tex]\( H_B = H_A - 3.5 = 16 - 3.5 = 12.5 \) cm[/tex]

4. Determine the dimensions of box C:

Each dimension is 3.5 cm less than the corresponding dimension of box B.

Length [tex]\( L_C = L_B - 3.5 = 28.5 - 3.5 = 25 \) cm[/tex]

Breadth [tex]\( B_C = B_B - 3.5 = 21.5 - 3.5 = 18 \) cm[/tex]

Height [tex]\( H_C = H_B - 3.5 = 12.5 - 3.5 = 9 \) cm[/tex]

5. Determine the dimensions of box D:

Each dimension is 3.5 cm less than the corresponding dimension of box C.

Length [tex]\( L_D = L_C - 3.5 = 25 - 3.5 = 21.5 \) cm[/tex]

Breadth [tex]\( B_D = B_C - 3.5 = 18 - 3.5 = 14.5 \) cm[/tex]

Height [tex]\( H_D = H_C - 3.5 = 9 - 3.5 = 5.5 \) cm[/tex]

6. Calculate the volume of box D:

[tex]\[ V_D = L_D \times B_D \times H_D = 21.5 \times 14.5 \times 5.5 \][/tex]

[tex]\[V_D = 1714.625 \text{ cubic centimeters}\][/tex]

[tex]\[V_D \approx 1715 \text{ cubic centimeters}\][/tex].

The complete question is:

Four boxes are shown in order from the largest volume to the smallest volume. For each box, all of the dimensions are 3.5cm less than the next larger box. To the nearest cubic centimeter, what is the volume of box D?

A. 3,657 cubic centimeters

B. 1,715 cubic centimeters

C. 1,044 cubic centimeters

D. 299 cubic centimeters

Answer: its B 10.20

Step-by-step explanation:

Answer:

x = 39

Step-by-step explanation:

This is pythagoras

x = √36² + 15²

x = √1296 + 225

x = √1521

x = 39

Hopefully it helps you

Ask if u don't understand

The answers to the questions are 3 and 225000 respectively.

Using the ratio :

Expressing the values on terms of minutes

Now we have :

Divide through by 20

Hence , n = 3

2.)

Using the ratio

1 cm on the map represents 25000 kilometers on ground

9cm would be :

Hence, 9 cm would represent 225000 kilometers on ground.

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Answer:

Example: 45+45

Example: 100+80

Step-by-step explanation:

Any two angles that sum to 90 degrees will create a set of complementary angles, and any two angles that sum to 180 degrees will create a set of supplementary angles.

Answer:

7) A school group is assigned to survey vast museum collections of all macroscopic (not microscopic) animal species collected from various regions around the world. What observation are the students most likely to make? A) The majority of the animals are wormlike. B) The majority of the animals possess a …

Step-by-step explanation:

Answer:

Increase

Step-by-step explanation:

Since the total number of blocks in a pyramid is found by dividing the height of pyramid by the height of each block, then the block height of 1.39 m requires more pieces compared to 1.4 m

Illustration

If the height of pyramid was 139 m, the number if blocks each measuring 1.39 m will be 139/1.39=100+1 blocks while if blocks are 1.4m then number will be 139/1.4=99+1 blocks

Therefore, the height of 1.39m will increase the number of blocks

Answer:

1,2,4

Step-by-step explanation:

edge 2020 hope this helps :>

Final answer:

The true statement about finding the unknown side length of the triangle is that the equation a² + (√13)² = 6² can be used, following the Pythagorean theorem. Other stated equations and proposed lengths are incorrect based on the theorem's application.

Explanation:

The question involves applying the Pythagorean theorem to a right triangle with given side lengths. According to the theorem, in any right triangle, the square of the length of the hypotenuse (c) is equal to the sum of the squares of the lengths of the other two legs (a and b). Therefore, the equation that can be used to find the unknown side length is a2 + b2 = c2. Given a triangle with one side as √13 meters and the hypotenuse as 6 meters, we can solve for the unknown leg.

Firstly, correct application for the Pythagorean theorem here is a2 + (√13)2 = 62, indicating the first statement is true. By substituting √13 for one leg and 6 for the hypotenuse, squaring the values and rearranging, we find the length of the unknown leg. The correct calculation leads to the discovery that the unknown leg length cannot be 7 meters or √23 meters, as those do not fit the requirements set by the question's parameters.

Therefore, the true statements are:

The equation a2 + (√13)2 = 62 can be used to find the unknown length.

Other suggested equations are incorrect applications of the Pythagorean theorem, and the provided side lengths do not result in the unknown leg measuring √23 or 7 meters.

Answer:

1

Step-by-step explanation:

for the points

Answer:

1

Step-by-step explanation:

you're welcome :)

Answer:

can you describe how much an apple and an orange costs?

Step-by-step explanation:

Answer:

if Noah has $10 to spend at the market then depending on the cost of apples and oranges would be weather or not he can get 7 apples and 2 oranges

Step-by-step explanation:

Answer:

.

Step-by-step explanation:

Answer:

60.72

Step-by-step explanation:

Monday: 60 degrees

Tuesday: temperature increases by 10 percent

60 + 10% of 60

60 + .10*60 = 70 +6 = 66

Wednesday: temperature decreases by 8 percent

66 - 8%of 66

66 - .08*66 = 66 -5.28=60.72

Answer:

60.72°F

Step-by-step explanation:

10% increase: 100+10 = 110% of the previous

On Tuesday:

110/100 × 60

66°F

Decrease by 8%: 100-8 = 92% of the previous

On Wednesday:

92/100 × 66

60.72°F

Answer:

-3/5x + y = - 26/5

Step-by-step explanation:

First, I put everything in slope-intercept form, just because it's more simple for me.

y = 3/5x + b

Since we don't have b, we can use the coordinate they give us to solve for it.

-4 = 3/5 (2) + b

-26/5 = b

y = 3/5x - 26/5

Now, we can move the variables around to fit the form:

Ax + By = C

-3/5x + y = - 26/5

I hope this helped!

The total amount of interest Alexandra will earn, after taxes is, $51.05.

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Now, To calculate the total amount of interest Alexandra will earn, we first need to calculate the annual interest rate.

Since the APR is 4%,

Hence, we can calculate the quarterly interest rate by dividing 4 by 4 = 1%.

Next, we need to calculate the number of quarters in 3 years which is,

⇒ 3 x 4 = 12 quarters.

Now, Using the formula for compound interest, we can calculate the balance of Alexandra's account at the end of the 3-year period:

Balance = Principal (1 + (rate/n))ⁿˣ

where, P = Principal = $400

r = Annual interest rate = 4%

n = Number of times interest is compounded per year = 4 (quarterly)

x = Number of years = 3

Plugging in the values,

Balance = $400 (1 + (0.04/4))¹²

            = $463.81

Next, we need to calculate the total amount of interest Alexandra earned, which is the difference between the balance and the principal:

Total interest earned = $463.81 - $400 = $63.81

Since Alexandra will be taxed on 20% of the interest, we need to calculate the amount of tax she will pay:

Tax = 20% of $63.81

      = $12.76

Finally, we can calculate the total amount of interest Alexandra will earn after taxes:

Total interest earned after taxes = $63.81 - $12.76 = $51.05

Therefore, the correct answer is, $51.05.

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Answer:

40.58

Step-by-step explanation:

Answer:

z =3−3i

Step-by-step explanation:

Answer:

Step-by-step explanation:

answer: 3[tex]\sqrt{2}[/tex] cis [tex]\frac{7\pi }{4}[/tex]

explination:

z = 3 -3i

r = [tex]\sqrt{3^{2} + 3^{2} }[/tex]

r = 3[tex]\sqrt{2}[/tex]

θ = [tex]2\pi + tan^{-1} ( -\frac{3}{3} )[/tex]

θ = [tex]2\pi + tan^{-1} ( -1 )[/tex]

θ = [tex]2\pi - \frac{\pi }{4}[/tex]

θ = [tex]\frac{7\pi }{4}[/tex]

= 3[tex]\sqrt{2}[/tex] cis [tex]\frac{7\pi }{4}[/tex]

Answer:

The area of the base of the rectangular prism is 200 cm2.

The area of each triangular base of the triangular prism is 45 cm2.

The lateral area of the rectangular prism is 720 cm2.

The total surface area of the paperweight is 1,210 cm2

Step-by-step explanation:

Hope this helps!

Answer:

p - 14.5 =  53

p = 67.5

Step-by-step explanation:

53 + 14.5 = 67.5

Answer:

8280 cal

Step-by-step explanation:

Q=mc(delta)T

Q=1200(0.115)(-60)

Q=8280 cal

I used 1200 g instead of 1.2 kg

Answer:

1,1

Step-by-step explanation:

Answer:

The answer is D (1,1)

Step-by-step explanation:

Answer:

10

Step-by-step explanation:

Answer:

The answer is 10

Step-by-step explanation:

(x+11) (x-10) = 0

Positive Solution:

x = 10

Answer:

A) The mean would double to 10.

If every data point in a set is doubled, the mean of the set will also double. In this case, the original mean is 5, so when data points are doubled, the mean would be 10.

The subject of this question is how the mean of a data set changes when all data points are doubled. The mean, or average, of a data set is calculated by adding all the data points and dividing by the number of points. When every data point is doubled, each point will become twice its original value. This essentially means adding the same set of data points to the original set, thus doubling the sum. When this new sum is divided by the number of data points (which remains the same), the result also doubles. Therefore, if the mean of the original data set is 5, when every data point is doubled, the mean would also be doubled, which means the new mean is 10 – so the correct answer is (a) The mean would double to 10.

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Answer:

$15, $8, $1, respectively

Step-by-step explanation:

Line up the number of years with the line and check the pay.

Answer:

1. $15

2. $8

3. $1

Step-by-step explanation:

Line the number of years and see the pay of them. I hope this helps! Please mark me brainliest!

Answer:

Step-by-step explanation:

0.001

Answer:

0.001

Step-by-step explanation:

Any number to a negative exponent is equal to 1/number^exponent

Ex: 2^-2 = 1/2^2

10^3 = [tex]\frac{1}{10^{3} }[/tex] = [tex]\frac{1}{1000\\}[/tex] = 0.001

Answer:

8

Step-by-step explanation:

Study Island

Final answer:

The interquartile range of Angela's bowling scores is determined by calculating the difference between the third quartile (Q3) and the first quartile (Q1). In this case, the IQR is D. 8.

Explanation:

To find the interquartile range (IQR) of Angela's bowling scores, we need to identify the first quartile (Q1, 25th percentile) and the third quartile (Q3, 75th percentile) of her data set. The scores are already in ascending order: 144, 146, 148, 150, 152, 154, 156, 158, 160. With ten scores, Q1 will be the average of the 2.5th and 3.5th data points (which is the score at position 3), and Q3 will be the average of the 7.5th and 8.5th data points (which is the score at position 8).

When we look at the data, the first quartile Q1 is at the score 150 (the average of the third and fourth scores since they are the same), and the third quartile Q3 is at the score 158 (the average of the eighth and ninth scores since they are the same). So, the interquartile range is Q3 - Q1 = 158 - 150 = 8.

The correct answer is D. 8.