Algebra 2 help?

5. A construction explosion has an intensity I of 1.25 x 10–4 W/m2. Find the loudness of the sound in decibels if W/m2. Round to the nearest tenth. (1 point)

81 decibels
161 decibels
82.2 decibels
12.5 decibels

The example question in the textbook is totally different so I'm not sure how to do this. I tried to make the equation and then got confused. An explanation would be great! Thanks

Answer:This may not help but 1 is 1:727

2is they are not similar

Step-by-step explanation:

Fk

Answer:

A 5n=3d and n-2=2d-4

Step-by-step explanation:

Answer:

your answer is B

Step-by-step explanation:

Answer:

Compare the algebraically expressed function  f(x) =  1/4 x2 - 2x to the function shown in the graph to determine which statement is true.

D) The graphed function has a lower minimum value.

Step-by-step explanation:

Answer

25

Explanation

sin (x + 22)° = cos (2x - 7)°

In trigonometry for any equation where sinθ = cosΦ, θ and Φ are complementary. That is they add up to 90°

sinθ = cosΦ   ⇒ θ + Φ = 90

∴ sin (x + 22)° = cos (2x - 7)°

    (x + 22) + (2x - 7) = 90

    x + 22 + 2x - 7 =90

    3x + 15 = 90

    3x = 90 - 15

      3x = 75

         x = 25°

Answer: Option 'A' is correct.

Step-by-step explanation:

Since we have given that

Cost of video camera = $620

Rate of sales tax = 6%

Amount of sales tax is given by

[tex]\dfrac{6}{100}\times 620\\\\=\$37.2[/tex]

Total amount after sales tax is given by

[tex]\$620+\$37.2\\\\=\$657.20[/tex]

Amount of rebate = $95

So, final amount that Darrin ended up paying after receiving the rebate is given by

[tex]\$657.20-\$95\\\\=\$562.20[/tex]

Hence, option 'A' is correct.

The pie chart showing Claire's daily activities will have five sections representing school, basketball, homework, sleeping, and chores. Each section will portray the fraction of 24 hours that she spends on that activity. For example, School and Sleeping will both occupy 1/3 of the pie chart each.

The subject in question is related to pie charts in Mathematics, specifically fractions and percentages. Claire has a total of 24 hours in the day and her activities are school for 8 hours, basketball for 4 hours, homework for 2 hours, sleep for 8 hours, and chores for 2 hours. In the pie chart, her spent time in a day can be shown as fractions of the total time, 24 hours.

For instance, Claire spent 8/24 or 1/3 of her time at school; the pie chart will show a section occupying 1/3 of the circle representing this. Similarly, she spent 4/24 or 1/6 of her time playing basketball, 2/24 or 1/12 of her time doing homework, 8/24 or 1/3 of her time sleeping, and 2/24 or 1/12 of her time doing chores. Each of these fractions will be a section on the pie chart. Hence, the chart will have five different sections, each representing a different activity.

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"Which rule ..." suggests you have some rules to choose from to describe the growth. Since you refer to "each interval from x=-1 to x=3", we assume your rule is concerned with more than one interval. With no further clues as to what you may be looking for, we can compute the factor by which the function grows from x=-1 to x=3.

The growth factor over that interval is the ratio of final value to initial value:

.. (12^3)/(12^-1) = 12^(3 -(-1)) = 12^4 = 20,736

Answer:

The rule "multiply by 12" describe the growth of the y-values of the function y=12^x over each interval from x=-1 to x=3.

Step-by-step explanation:

The given function is

[tex]y=12^x[/tex]

The initial value is 1 and the growth factor is 12.

It is an exponential function.

At x=-1

[tex]y=12^{-1}=\frac{1}{12}[/tex]

At x=0

[tex]y=12^{0}=12^{-1}\times 12=1[/tex]

At x=1

[tex]y=12^{1}=1 \times 12=12[/tex]

At x=2

[tex]y=12^{2}=12 \times 12=144[/tex]

At x=3

[tex]y=12^{3}=144 \times 12=1728[/tex]

Therefore the rule "multiply by 12" describe the growth of the y-values of the function y=12^x over each interval from x=-1 to x=3.

The probability of rolling an odd number and a number greater than 4 in either order is 1/6.

Probability is the chance of occurrence of a certain event out of the total no. of events that can occur in a given context.

Given, a single die is rolled twice,

∴ The 36 outcomes are

(1,1),(1,2)...(1,6),(2,1)...(2,6),(3,1)...(3,6),(4,1)...(4,6)...(5,1)...(5,6)...(6,1)...(6,6).

So, N(S) = 36.

The no of favorable outcomes N(F) an odd number and a number greater than 4 in either order are [{(1,5),(1,6),(3,5)(3,6),(5,5),(5,6)} as given they can occur in either order so (1,5) and (5,1) are one combined.

∴ N(F) = 6.

So,  The probability P(F) of rolling an odd number and a number greater than 4 in either order is,

P(F) = N(F)/N(S).

P(F) = 6/36.

P(F) = 1/6.

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The probability of rolling an odd number and a number greater than 4 in either order when a single die is rolled twice is 1/18.

To find the probability of rolling an odd number and a number greater than 4 in either order when a single die is rolled twice, we need to first identify the possible outcomes. The odd numbers on a die are 1, 3, and 5. Since we are also looking for a number greater than 4, the only possible outcomes that meet both conditions are 5 and 6.

When the die is rolled twice, there are 6 x 6 = 36 possible outcomes. There are two favorable ways to achieve the goal: Roll a 5 (odd) first and then a 6 (greater than 4), or roll a 6 first and then a 5. Thus, there are two successful outcomes: (5, 6) and (6, 5). The probability of each individual outcome is 1/36, so the combined probability is 2/36, which simplifies to 1/18.

Therefore, the probability of rolling an odd number and a number greater than 4 in either order with a single die rolled twice is 1/18.

Answer:

Step-by-step explanation:

Answer:

6in^3

sorry this is late. but i put 19in^3 and got it wrong. the k12 test said the correct answer is 6in^3

if it isnt correct for you, im sorry

The Volume of the triangular prism is 124.74 cubic mm.

Volume is a three-dimensional quantity used to calculate a solid shape's capacity. That means that the volume of a closed form determines how much three-dimensional space it can fill. Volume is a three-dimensional quantity used to calculate the capacity of a container.

Given:

Base of the triangle (b) = 12.3 mm

Height of the triangle (h) = 8.2 mm

Length of the prism (l) = 20.5 mm

So, the volume of the triangular prism formula:

= 1/2 x b x h x l

= 1/2 x 14.4 x 2.1 x 8.25

= 7.2 x 2.1 x8.25

= 124.74 cubic mm.

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Answer:

The theoretical probability of obtaining letter 'r' at the 14th spin is:

[tex]\dfrac{1}{8}[/tex]

Step-by-step explanation:

It is given that:

A spinner has 8 equal sectors with different letters for each sector.

The sectors are labeled b, y, g, p, o, v, m, and r.

Hamlet spins the spinner 13 times, and it stops at the letter r 9 times.

We are asked to find the theoretical probability that we will get  letter r at the 14th spin.

The theoretical Probability is given as the ratio of number of favorable outcomes to the total number of outcomes.

Hence, the theoretical probability of obtaining letter 'r' at the 14th spin is:

[tex]\dfrac{1}{8}[/tex]

( As there are a total of 8 outcomes( or 8 sectors) out of which there is only one sector which is red)

Answer:

12raiz (2)

Step-by-step explanation:

Answer:

Option 2.

Step-by-step explanation:

We need to find a polynomial which is written in descending order.

Polynomial written in descending order: If the terms are written in a manner such that the powers on the variables go from highest to lowest, then it is called polynomial in descending order.

In option 1, the given polynomial is

[tex]9-14x-7x^2+x^3[/tex]

In option 2, the given polynomial is

[tex]x^3-7x^2-14x+9[/tex]

In option 3, the given polynomial is

[tex]-7x^2+9+x^3-14x[/tex]

In option 3, the given polynomial is

[tex]-14x+x^3+9-7x^2[/tex]

Only in option 2, the terms are arranged in descending order of powers.

Therefore, the correct option is 2.