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A diver is at an elevation of −18 feet and dives down an additional 30 feet. What is that diver’s elevation in feet in relation to a second diver who is 27 feet below the surface?

Answer:

n = - 5

Step-by-step explanation:

Using the rules of exponents

[tex]a^{m}[/tex] × [tex]a^{n}[/tex] ⇔ [tex]a^{(m+n)}[/tex]

[tex]\frac{a^{m} }{a^{n} }[/tex] ⇔ [tex]a^{(m-n)}[/tex]

Consider the left side

[tex]\frac{y^4.y^{n} }{y^2}[/tex]

= [tex]\frac{y^{4+n} }{y^2}[/tex]

= [tex]y^{4+n-2}[/tex]

= [tex]y^{2+n}[/tex], then

[tex]y^{2+n}[/tex] = [tex]y^{-3}[/tex]

Since the bases on both sides are the same, equate the exponents

2 + n = - 3 ( subtract 2 from both sides )

n = - 5

Answer:

0.75

Step-by-step explanation:

The table is not well presented (See Attachment)

There are at least two approaches to this question

Method 1:  

Steps

1. Calculate the mean of reported heights

Mean of reported heights = (61+68+57.5+48.5+75+65+80+68+69+63)/10

Mean of reported heights = 655/10

Mean of reported heights = 65.5

2. Calculate the mean of measured heights

Mean of measured heights = (62 + 68 + 56.5 + 47 + 72 + 65 + 78 + 67 + 69.5 + 62.5)/10

Mean of measured heights = 647.5/10

Mean of measured heights = 64.75

3. Get their difference

Difference = Mean of reported heights - Mean of measured heights

Difference = 65.5 - 64.75

Difference = 0,75

Method 2: Calculate the mean of their difference

Mean of difference = Sum of difference / Number of observations

Mean of difference = (-1 + 0 + 1 + 1.5 + 3 + 0 + 2 + 1 – 0.5 + 0.5)/10

Mean of difference = 7.5/10

Mean of difference = 0.75

Note that in both cases, the result is 0,75.

Hence, the reported heights at the school is 0.75 greater than the actual measured height

It was hard to do because you wrote it out next time try attaching the file but if my calculations are correct its C.)0.75

Answer:

C     f(x) = 0.5(2x)

Step-by-step explanation: I got a 96 on the the test so you can trust, unlessssss this is the one question I got wrong!!! .... It's not though so don't worry.

f(x) = 2(0.5)ˣ is the exponential function which has a growth factor of One-half.

A relation is a function if it has only One y-value for each x-value.

An exponential function with a growth factor of 1/2 would have 1.5^x as part of it

y=a(1+0.5)ˣ is the general term of the exponential function.

In the given functions

f(x) = 2(0.5)ˣ On a coordinate plane, an exponential function decreases from quadrant 2 into quadrant 1 and approaches y = 0.

It goes through (negative 1, 2) and crosses the y-axis at (0, 0.5).

Hence, f(x) = 2(0.5)ˣ is the exponential function which has a growth factor of One-half.

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Answer:

The parking lot does not form a rectangle.

Step-by-step explanation:

Given: One pair of opposite sides of parking lot are 100 yards long. The other two sides are 60 yards long.

The distance from one end of the longer side to the opposite end of the shorter side is 120 yards.

To find: If the distances given form a right triangle?

Also, to find the hypotenuse and the numbers which represent the two sides.

Solution:

In a triangle, if the square of the length of the longest side is equal to the sum of the squares of the other two sides, then the triangle is said to be a  right angled triangle.

[tex](60)^2+(100)^2=3600+10000=13600\\(120)^2=14400\\\therefore (60)^2+(100)^2\neq (120)^2[/tex]

So, the triangle is not a right angled triangle.

So, none of the angles of the parking lot forming a quadrilateral is equal to [tex]90^{\circ}[/tex].

Hence, the parking lot is not a rectangle although the opposite sides are equal.

(A quadrilateral in which opposite sides are equal such each angle is [tex]90^{\circ}[/tex] is a rectangle )

The distances given do not form a right triangle.

Answer: The angles are 135° and 45°.

Step-by-step explanation:

In this situation, we have two parallel lines that are cut by another line, and the interior angles are the ones created in between the parallel lines and the third line.

If both angles are on the same side, then we must have that the sum of the angles adds up to 180°.

If the angles are A1 and A2 we have:

A1 + A2 = 180°

and,  we also know that A1 = 3*A2, we can replace it in the previous equation and get:

3*A2 + A2 = 180°

4*A2 = 180°

A2 = 180°/4 = 45°

then A1 = 3*45° = 135°

The angles are 135° and 45°.

Answer:

A

Step-by-step explanation:

The x values have to be different in order for points not to be on the same vertical line. A function needs to pass the vertical line test.

Answer: [tex]x= \frac{-1+\sqrt{97} }{8} , \frac{-1-\sqrt{97} }{8}[/tex]

Step-by-step explanation:

Use the Quadratic Formula .. if you use Completing the Square it'll take longer!!

In general, given [tex]ax^{2} +bx+c=0[/tex] , there exists two solutions where:

[tex]x=\frac{-b+\sqrt{b^{2} -4ac} }{2a}[/tex] , [tex]\frac{-b-\sqrt{b^{2} }-4ac}{2a}[/tex]

In this case, a=4 , b=1 and c= -6

[tex]x= \frac{-1+\sqrt{1-4*4*-6} }{2*4}[/tex] , [tex]\frac{-1-\sqrt{1-4*4*-6} }{2*4}[/tex]

Simplify.

[tex]x=\frac{-1+\sqrt{97} }{8}[/tex] , [tex]\frac{-1-\sqrt{97} }{8}[/tex]

Answer:

6 units

Step-by-step explanation:

Since the x coordinate is the same, we only have to look at the difference of the y coordinates

2 - -4

2+4

6

The distance is 6 units

Answer:

the answer is 6 units

Step-by-step explanation:

please see the attached picture for full solution

hope it helps

good luck on your assignment..

Answer:

15.94490514

Step-by-step explanation:

First, work out the average, or arithmetic mean, of the numbers:

Count: 5(How many numbers)

Sum: 357(All the numbers added up)

Mean: 71.4(Arithmetic mean = Sum / Count)

Then, take each number, subtract the mean and square the result:

Differences:

4.6, -26.4, -7.4, 8.6, 20.6

(Every Number minus Mean)

Differences^2:

21.16, 696.96, 54.76, 73.96, 424.36

(Square of each difference)

Now calculate the Variance:

Sum of Differences2:1271.2(Add up the Squared Differences)

Variance:254.24(Sum of Differences2 / Count)

Lastly, take the square root of the Variance:

Standard Deviation:15.94490514 (The square root of the Variance)

Answer:

5^15

Step-by-step explanation:

When the bases are the same, we add the exponents when multiplying

5^10 * 5^5

5^(10+5)

5^15

Answer:

5 to the power of 15

Step-by-step explanation:

Answer:

6

Step-by-step explanation:

3x2

Answer:

-3x

Step-by-step explanation:

The term that goes in the box is

x * -3

-3x

Answer:

The item that would be represented by the independent variable in this situation is:

Step-by-step explanation:

To identify if a variable is dependent or independent, you must think about what variable needs from other to accomplish the exercise, for example, the distance traveled and the time, suppose you want to see how much distance you travel in a determined time, in this case, the distance is a dependent variable and the time an independent variable, this is because the distance you travel depends on the time you use in this activity, but the time will continue advancing no matter if the distance is advancing or not, in the case given, the jars of jam depends on the number of strawberries that Candice has (more jars of jam needs more strawberries) but the strawberries don't depend on the jars of jam, so, the jars of jam are the dependent variable and the strawberries the independent variable.

Answer:

B

Step-by-step explanation:

Answer:

All true

Step-by-step explanation:

By definition, an asymptote is a line at which the values of the function approach but never reach as one or both of the x or y coordinates tends to positive or negative infinity. Therefore, the graph of a rational function R never intersects any of its asymptotes.

Answer:

2/15

Step-by-step explanation:

75u = 12 - 2

75u = 10

u = 10 / 75 = 2/15

Answer:

75u=12-2

75u=10

u=10/75

Answer:

[tex]=2u^2-7uw-30w^2-4u-10w[/tex]

Step-by-step explanation:

[tex]\left(u-6w-2\right)\left(2u+5w\right)\\Distribute\:parentheses\\=u\cdot \:2u+u\cdot \:5w+\left(-6w\right)\cdot \:2u+\left(-6w\right)\cdot \:5w+\left(-2\right)\cdot \:2u+\left(-2\right)\cdot \:5w\\Apply\:minus-plus\:rules\\+\left(-a\right)=-a\\=2uu+5uw-6\cdot \:2uw-6\cdot \:5ww-2\cdot \:2u-2\cdot \:5w\\\mathrm{Simplify}\:2uu+5uw-6\cdot \:2uw-6\cdot \:5ww-2\cdot \:2u-2\cdot \:5w:\quad 2u^2-7uw-30w^2-4u-10w\\=2u^2-7uw-30w^2-4u-10w[/tex]

Answer:

7p-3

Step-by-step explanation:

We are given the expression:

8p - 3 + 9p + 6p + 2p - 6p - 3p - 9p

To simplify, we can combine like terms. Add all the terms with a variable, then add the terms without a variable.

(8p + 9p + 6p + 2p - 6p - 3p - 9p)+ -3

(25p -18p) -3

7p-3

Steps:

Group like terms:

8p - 3 + 9p + 6p + 2p - 6p - 3p - 9p-3

Add similar elements:

8p - 3 + 9p + 6p + 2p - 6p - 3p - 9p = 7p

=7p−3

Answer: =7p−3

Please mark brainliest

Hope this helps.

Answer:

3 b 11 6

Step-by-step explanation:

3 b 1 2 ⋅ b 4 3

Move  

b 4 3 . 3 ( b 4 3 b 1 2 )

Use the power rule  

a m a n = a m + n

to combine exponents.

3 b 4 3 + 1 2

To write  

4 3

as a fraction with a common denominator, multiply by  

2 2 . 3 b 4 3 ⋅ 2 2 + 12

To write  1 2

as a fraction with a common denominator, multiply by  

3 3 . 3 b4 3 ⋅ 2 2 + 1 2 ⋅ 3 3

Write each expression with a common denominator of  

6

, by multiplying each by an appropriate factor of  

1 .

Tap for more steps...

3 b 4 ⋅ 2 6 +3 6

Combine the numerators over the common denominator.

3 b 4 ⋅ 2 + 3 6

Simplify the numerator.

Answer:

∠A is 118 degrees

Step-by-step explanation:

every triangle is 180 degrees

(3x+13) + (x-8) +(x) = 180

simplify

5x + 5 = 180

-5        = -5

5x = 175

175 divided by 5 is 35

so x= 35

∠A= 3(35) + 13

3 times 35 is 105

105 + 13 = 118

so ∠A is 118 degrees

hope this helps!

Answer:

[tex]9[/tex]

Step-by-step explanation:

The prime factorization of [tex]192[/tex] is [tex]2^6 \cdot 3[/tex], and since [tex]2^6[/tex] is already a perfect cube of [tex]4[/tex], we just have to deal with the [tex]3[/tex]. To make it a perfect cube, we have to multiply [tex]3[/tex] three times, and so we have to make it [tex]3 \cdot 3 \cdot 3[/tex], and we already have one three so we just add the other two threes, which equal [tex]3^2=9[/tex].

Answer:6.3 in.

Step-by-step explanation:

Given

Radius of sphere [tex]r=4\ cm[/tex]

When ball is immersed in beaker, it causes the water to flowout of beaker which is collected in the conical vessel

Such that amount of water equivalent to sphere volume is collected in it.

volume of ball

[tex]V_s=\frac{4\pi }{3}r^3[/tex]

[tex]V_s=\frac{4\pi }{3}\times 4^3[/tex]

[tex]V_s=\frac{256\pi }{3}\ cm^3[/tex]

Now volume of water collected is in shape of cone then volume of cone

[tex]V_c=\frac{\pi }{3}r^2h[/tex]

and [tex]V_s=V_c[/tex]

[tex]\frac{256\pi }{3}=\frac{\pi }{3}(4)^2\times h\ quad [\text{h=height of cone formed}][/tex]

[tex]h=4^2=16\ cm\approx 6.29\approx 6.3\ in.[/tex]

Answer: it would be 1.25 since 1/4 is a fraction

1st 1/4 x 5/1

2nd 1+4 =5  keep the denominator

so the final product would be 5/4 or 1.25

Solution of expression 1/4 × 5 is 1.25

Division is an operation that represents the basic idea of repeated subtraction of the same number. It is inverse of multiplication operation.

Given expression

1/4 × 5

= 5/4

= 1.25

Hence, 1.25 is solution of given expression.

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Answer:

3

Step-by-step explanation:

2a+6=12

Step 1: Subtract 6 from both sides.

2a+6=12

-6 -6

2a=6

Step 2: Divide both sides by 2.

2a/2=6/2

a=3

Answer:

a= 3

Step-by-step explanation:

2a+6=12

2a=12-6

2a=6

a=6/2

a=3 #

Answer:

x = 12.52°

Step-by-step explanation:

The illustration forms a right angle triangle . The right angle triangle formed has a height of 200 ft and a base of 900 ft.

The opposite side of the triangle is 200 ft while the adjacent side of the triangle is 900 ft.

Using tangential ratio we can find the angle of depression. Therefore,

Let

x = angle of depression

tan x = opposite/adjacent

opposite = 200 ft

adjacent = 900 ft

tan x = 200/900

tan x = 2/9

x = tan⁻¹ 2/9

x = tan⁻¹ 0.222

x = 12.5166739144

x = 12.52°

Answer:

The answer is x = 12.84°

Step-by-step explanation: I took the test

Answer:

A approximation of 34 minutes and 30 seconds each day .

Step-by-step explanation:

First you would need to convert 4 hours to minutes , so 1 hour equals 60 minutes - 60 min = 1 hour, 60 min times 4 = 240 minutes in total. There are 7 days in total of the week, 240 minutes - 7 days of the week : 240 divided by 7 , equals a approaximation of 34 minutes and 30 seconds each day.

Answer:

y=1/2x - 1/2

Step-by-step explanation:

Slope intercept form is y=mx+b

The m is the slope of the line and the b is the y-intercept.

You must first the slope. The formula of a slope is (y1-y2)/(x1-x2). In this example it is (-2-3)/(-9-1) which equals 1/2. By order of elimanation we can see that y=1/2x-1/2 is correct.

Answer:

last one

Step-by-step explanation:

Answer: The first graph

Step-by-step explanation: