The loudness, L , of a sound (measured in decibels, dB) is inversely proportional to the square of the distance, d , from the source of the sound. When a person 14 feet from a jetski, it is 70 decibels loud. How loud is the jetski when the person is 46 feet away?

Answer:

8f + 4g

Step-by-step explanation:

Given

2(4f + 2g)

Required

Determine the equivalent expression

2(4f + 2g)

Open the bracket

2 * 4f + 2 * 2g

Perform right operations on the above

8f + 4g

The expression cannot be further simplified; Hence the result of  2(4f + 2g) when simplified is 8f + 4g

Answer: 8f + 4g also 4(2f + g) and 4f + 4f+ 4g

Step-by-step explanation:

Answer:

the answer is b, 8 units right, and 5 units up

Step-by-step explanation:

The image of △JKL after a translation of 8 unit right and 5 units up to   △J"K" L directly.

The act of moving a figure or shape from one location to another is known as translation. A figure can move up, down, right, left, or anywhere else in the coordinate system during translation. The only thing that changes about the object in translation is its position; its size stays the same.

Given  Graph △JKL with vertices J(-3, 4) K (4, 4), and L (6, -2)

and  Graph the image of △JKL after a translation of 1 unit left and 10 units up. Label the image △J'K'L',

and  Then translate △JKL 9 units right and 5 units down. Label this image △J"K"L.

from graph coordinates of △J"K"L are J"(5, 9), K"(4, 1) and L"(14, 3)

change in J to J" is (5 - (-3), 9- 4) =(8 , 5),

same for K to K" and L to L"

ΔJKL moves 8 units right and 5 units up to  △J"K"L"

Hence  8 units right and 5 units up  translation would move △JKL to △J"K" L directly.

Learn more about translation;

https://brainly.com/question/12463306

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Answer:

x = 8.4

y = -2

Step-by-step explanation:

Step 1: Sub y=-2 into y=5x + 40

-2 = 5x + 40

Step 2: Solve for 'x'

-2 = 5x +40

-42 = 5x

x = 42/5

x = 8.4

Step 3: Solve for 'y'

y is given in the question, y=-2

Answer:

x = -0.5

Step-by-step explanation:

x + 0.25 = -0.25

x = -0.25 - 0.25

x = -0.5

intercept is the length from origin to intersection point of respective axis,

it intersects x axis at -7.5 and y is 0 so x intercept is (-7.5,0)

and similarly, y intercept is (0,5.5)

Answer:

(- 7.5, 0 ) and (0, 5.5 )

Step-by-step explanation:

The x- intercept is the value of x on the x- axis where the line crosses.

Here the line crosses the x- axis at - 7.5 , thus the coordinates of x- intercept

(- 7.5, 0 )

The y- intercept is the value of y on the y- axis where the line crosses.

Here the line crosses the y- axis at 5.5 thus the coordinates of the y- intercept

(0, 5.5 )

YES! quite easily.

I hope you can see the two pairs of corresponding angles between the parallel lines. they'll be equal

and then there's a pair of vertically opposite angle at centre.

that means all pairs of corresponding angles are equal, thus, triangles are similar by AAA

Answer:

[tex]\Large \boxed{\mathrm{D}}[/tex]

Step-by-step explanation:

The triangles can be proven by AA or Angle-Angle similarity.

[tex]\angle QUR \cong \angle TUS[/tex]

The vertical angles are congruent.

[tex]\angle R \cong \angle S[/tex]

The alternate interior angles are congruent.

Answer: I can’t help with that because there should be a graph

Step-by-step explanation:

Answer:

The green box would be [tex]\frac{1}{8}[/tex].

Step-by-step explanation:

[tex]\frac{1}{2^{3}} = \frac{1}{8}[/tex]

Answer:

Step-by-step explanation:

R.A. = 50(1 - .5)^3

your question askes for the decay factor "green box"

that number is 1/2 (.5)

Answer:

[tex]\huge \boxed{k<1}[/tex]

Step-by-step explanation:

[tex]7k+1<8[/tex]

Subtract 1 from both sides.

[tex]7k+1-1<8-1[/tex]

[tex]7k<7[/tex]

Divide both sides by 7.

[tex]\displaystyle \frac{7k}{7} <\frac{7}{7}[/tex]

[tex]k<1[/tex]

Answer:

70 feet

Step-by-step explanation:

If the miniature model has size of 1 inch, the real statue will be 10 feet in size. So if the model is 7 inch in size, the real statue will be 70 feet in size.

Answer:

The correct statements are b, c and e.

Step-by-step explanation:

Consider the dot plot for Noah and Jada's score in the trivia game.

From the dot plot it is quite clear that the data form a bell-shaped curved or a normal curve.

For the normal distribution:

Mean = Median = Mode

Noah's mean score = 5

Jada's mean score = 3

The standard deviation of a data set is the measure of dispersion of the observations of that data set from their mean.

On closely studying the graphs we can see that the Noah and Jada's scores are almost at a same distance from the mean, i.e. the spread of Noah's score is same as the spread of Jada's score.

So, the correct statements are:

b. The standard deviation of Noah's scores is equal to the standard deviation of Jada's scores.

c. The mean of Noah's scores is greater than the mean of Jada's scores.

e. Using only Noah's scores, the mean is equal to the median

Answer:

32.5

Step-by-step explanation:

25, percentage increased by 30% (percent) of its value = 32.5

Answer:

he invented the point

he was a German mathematician

he  Hilbert's improvements to geometry are still used in textbooks today

he developed Hilbert's axioms

Step-by-step explanation:

Answer:

He was a German mathematician.

If only one is true then you're good to go.

Whoops never mind.. :/

Answer:

Rectangular pyramid volume: 120 ft³

Rectangular prism volume: 840 ft³

Total volume of the composite figure: 120+840 = 960 ft³

Answer:

Twenty-seven and a half million metric tons of apples are eaten fresh.

Step-by-step explanation:

The amount of metric tons of apples that are eaten fresh is equal to the half of the total amount of metric tons. That is:

[tex]m = \frac{55,000,000\,m-ton}{2}[/tex]

[tex]m = 27,500,000\,m-ton[/tex]

Twenty-seven and a half million metric tons of apples are eaten fresh.

Answer:

28\3

Step-by-step explanation:

Answer:

when 2 angles add up to 180 degrees, they form a linear pair

Step-by-step explanation:

Answer:

sum of the interior angles x and y gives the exterior angle z

(4n-18)°+(n+8)°=(133-6n)°

4n°-18°+n°+8°=133°-6n°

4n°+n°-18°+8°=133°-6n°

5n°-10°=133°-6n°

5n°+6n°=133°+10°

11n°=143°

11°n/11°=143°/11°

n=13

exterior angle=133-6×13

=133-78

=55

Answer:

5.12 in. by 7.68 in.

Step-by-step explanation:

In similar triangles, the ratios of the lengths of corresponding sides are equal.

width of medium triangle = 4/5 width of large triangle

width of medium triangle = 4/5(8 in.) = 6.4 in.

length of medium triangle = 4/5 length of large triangle

length of medium triangle = 4/5(12 in.) = 9.6 in.

width of small triangle = 4/5 width of medium triangle

width of small triangle = 4/5(6.4 in.) = 5.12 in.

length of small triangle = 4/5 length of medium triangle

length of small triangle = 4/5(9.6 in.) = 7.68 in.

Answer:

Since 10/9 is greater than 1, multiplying by 10/9 makes the value larger

Step-by-step explanation:

Step 1: Solve the fraction

10/9 = 1.1112

Therefore 10/9 > 1

Step 2: Multiple the fraction by itself

10/9 x 10/9 = 100/81

Convert fraction to decimals

100/81 = 1.2345678901.....

1.234567901 > 1.1112

Therefore 10/9 x 10/9 is bigger than 10/9

Answer:

the value of x = 9  and y =11.

Given the system of equation:

12x + 4y =152                  .......[1]

32x + 12y = 420              ......[2]

Multiply equation [1] by 3 we get;

Using distributive property:  

            ......[3]

On solving equation [2] and [3] simultaneously we get;

x = 9

Substitute the value of x= 9 in [1] to solve for y;

108 + 4y = 152

Subtract 108 from both sides we have;

108 + 4y -108 = 152- 108

Simplify:

4y = 44

Divide both sides by 4 we get;

Simplify:

y= 11

therefore, the value of x = 9  and y =11.

Answer:

Around 1.6 cm per month

Step-by-step explanation:

We can set up a proportion to find how much the hair grows per month. It's important to note that there are 12 months in a year, so we can represent a year as 12 months.

[tex]\frac{19}{12} = \frac{x}{1}[/tex]

We can now cross multiply:

[tex]19\cdot1=19\\\\19\div12=1.58\overline{33}[/tex]

1.58333... rounds to 1.6.

Hope this helped!

Answer:answer=A

Step-by-step explanation: 3×3×3×2×2=72

Answer:

YUP THEY RIGHT

Step-by-step explanation:

Answer:

For matrix multiplication to work, the columns of the second matrix have to have the same number of entries as do the rows of the first matrix. ... In particular, matrix multiplication is not "commutative"; you cannot switch the order of the factors and expect to end up with the same result.

Answer:

- 1/ 4 > -1 2/3

Step-by-step explanation:

-1 /4 is closer to zero than - 1 2/3.

Answer:

-14>-1 2/3

Step-by-step explanation:

Answer:

.109090909 miles per hour

Step-by-step explanation:

To find miles per hour, take the miles and divide by the hours

12 miles/110 hours

.109090909 miles per hour

Answer:

0.11

Step-by-step explanation:

Hello!

To find how many miles Lilli jogs per hour we divide the distance by the time it took

12/110 = 0.109

The answer is 0.11

Hope this helps!

Step-by-step explanation:

Hello, there!!!

I hope you mean the question is like the above problem in picture.

so, let's simply work with it.

here, we may use cosine rule,

so, according to cosine rule,

[tex] {c}^{2} = {a}^{2} + {b}^{2} - 2ab.cosc[/tex]

so, just put value of formulae here,

we get;

5^2 = 3^2 + 4^2 - (2×3×4) . cos thita

or, 25 = 9 + 16 -24 cos thita.

or, 24 cos thita = 0

or, cos thita = 0/25

or, cos thita = 0

now, taking cos to right side we get,

[tex] {cos}^{ - 1 } (0)[/tex]

now, after typing cos ^-1 (0) we get angle as 90°.

(note: in step {cos thita = 0} you couold directly write like; cos thita = cos 90°. and cos would be cancelled in it as cos 90°=0. but it is only applied in particular angle like 0°,30°,60°,..... which are identified or if you don't know you must use the method above using calculator and remember to put inverse {cos^-1}).

so, In this way we find angle.

I hope it helps....

Answer:

2 + 5p

Step-by-step explanation:

Hi there!

Let [tex]p[/tex] equal the number of points scored by the red team.

We're given:

The blue team scored two more than five times the number of points scored by the red team.

⇒ blue team points = 2 + (5 × red team points)

⇒ blue team points = 2 + 5p

I hope this helps!

Answer:

 y = -1/2x + 4

Step-by-step explanation:

We have two points ( 8,0) and ( 0,4)

We can find the slope

m =(y2-y1)/(x2-x1)

    = (4-0)/(0-8)

    4/-8

   -1/2

We can use the slope intercept form

 y = mx+b where m is the slope and b is the y intercept

 y = -1/2x + 4

Answer:

Step-by-step explanation:

eq. of line with intercepts a and b is

[tex]\frac{x}{a} +\frac{y}{b} =1\\here ~eq. ~of ~line~ is ~ \frac{x}{8} +\frac{y}{4} =1\\or x+2y=8\\[/tex]

Answer:

jojo is 26

esi is 13

and kweku is 8 years old.

Step-by-step explanation:

Let esi's age be x then jojo's age is 2x.

Also kweku's age is x - 5. as esi is 5 years older than kweku.

So  x + 2x + x - 5 = 47

4x = 47 + 5 = 52

x = 13.

So jojo's age is 2*13 = 26 and kweku's age is 13 - 5 = 8.