Ben and Cam are scuba diving. Ben is 15.815.815, point, 8 meters below the surface of the water. Cam is 4.24.24, point, 2 meters above Ben. What is Cam's position relative to the surface of the water?

Answer:

8p - 11

Step-by-step explanation:

Got the same I-Ready question lol

Answer:

60,000

Step-by-step explanation:

Jane-2000

Peter-ratio of 5=25000

Marta-ratio of 7=35000

25000+35000

60000

Answer:

$6,000

Step-by-step explanation:

If \(y\) is the amount of money a child receives, and \(x\) is the total amount being divided among the children, then

Jane's share:  \(y = \frac{4}{4+5+7} * x = \frac{4}{16}x\)

Peter's share:  \(y = \frac{5}{4+5+7} * x = \frac{5}{16}x\)

Martha's share:  \(y = \frac{7}{4+5+7} * x = \frac{7}{16}x\)

We know Jane got $2000, so we can use that to solve for \(x\):

\(\frac{4}{16} x = 2000\)

\(x = \frac{16}{4} * 2000 = 8000\)

Plug this x value in to find how much Peter and Martha received:

\(\frac{5}{16} * 8000 + \frac{7}{16} * 8000 = $6000\)

Answer: 63 degrees.

Step-by-step explanation:

7x + 4 +5x+3+2x+5=180 degrees

14x+12=180 -12 Degrees

14x / 14 = .  168 /14

x=12

5(12) +3

63

Answer:

Read the excerpt from "Digging"The cold smell of potato mould, the squelch and slapOf soggy peat, the curt cuts of an edgeThrough living roots awaken in my head.But I’ve no spade to follow men like them.Between my finger and my thumbThe squat pen rests.I’ll dig with it.Read the haiku by Bashō.     When the winter chrysanthemums go,there’s nothing to write about     but radishes.What common concern do these poems share?

Step-by-step explanation:

Read the excerpt from "Digging"The cold smell of potato mould, the squelch and slapOf soggy peat, the curt cuts of an edgeThrough living roots awaken in my head.But I’ve no spade to follow men like them.Between my finger and my thumbThe squat pen rests.I’ll dig with it.Read the haiku by Bashō.     When the winter chrysanthemums go,there’s nothing to write about     but radishes.What common concern do these poems share?

Solution

Step 1

Step 2

Step 3

Critical point is x = 4

Step 4

Concavity intervals definition

Step 5

The total number of candidates in the group will be 50.

The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.

Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.

Given that the grade six class went on a field trip. of this group of pupils, only 98% or 49 joined the activity.

The total number will be calculated as,

Total number = [ 49 x 100 ] / 98

Total number = 50

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Answer:

Step-by-step explanation:

start by making a conversion from months to years

then convert the mixed number into a decimal number for the rate

now since this is a percentage it can also be written as

find the simple interest using the formula

replace the data

Answer:

Option 3

(3xy³ + 5x²y⁴)  (3xy³ - 5x²y⁴)

Step-by-step explanation:

Factorize polynomials:

Use exponent law:

                   \(\boxed{\bf a^{m*n}=(a^m)^n} \ & \\\\\boxed{\bf a^m * b^m = (a*b)^m}\)

9x²y⁶ = 3²* x² * y³*² = 3² * x² * (y³)² = (3xy³)²

25x⁴y⁸ = 5² * x²*² * y⁴*² = 5² * (x²)² * (y⁴)² = (5x²y⁴)²

Now use the identity:  a² - b² = (a +b) (a -b)

Here, a = 3xy³ & b = 5x²y⁴

9x²y⁶ - 25x⁴y⁸ = 3²x²(y³)² - 5²(x²)² (y⁴)²

                       = (3xy³)² - (5x²y⁴)²

                      = (3xy³ + 5x²y⁴)  (3xy³ - 5x²y⁴)

The result of derivative by evaluating the integral and differentiating is 2sinx.

The function itself is the derivative of a function's integral. But only in the case of indefinite integrals is this always the case. Only when the lower limit of the integral is a constant and the higher limit is the variable we are differentiating with, is the derivative of a defined integral of a function the function itself.

The function itself is the derivative of an indefinite integral of a function. Specifically, d/dx f(x) dx = f (x)

d/dx ∫x -x (sin t) dt

⇒ d/dx [- cos t] x -x

⇒ - d/dx [cos x - cos (-x)]

⇒ - d/dx [ 2 cos x]

⇒ -2 d/dx [cos x]

⇒ -2 [- sin x]

⇒ 2 sin x

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Answer:

Step-by-step explanation:

(8 + 7) ÷ 3

15 ÷ 3

= 3

Evaluating the function in the values of the domain we will get some coordinate pairs. The graph of these is in the image at the end.

Here we have the function:

3x - y = 1

And we want to graph this in the domain (-3, -1, 0, 4)

To do so, we need to evaluate the function (the values of x) in the values of the domain.

Solving the equation for y we get:

y = 3x - 1

Now, when x = -3

y = 3*-3 - 1 = -10

when x = -1

y = 3*-1 - 1 = -4

when x = 0

y = 3*0 - 1 = -1

When x = 4

y = 3*4 - 1 = 11

So we have the points (-3, -10), (-1, -4),  (0, -1), (4, 11)

The graph of these points is on the image below.

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Answer:

57 degrees

Step-by-step explanation:

Same side interior angles are supplementary which means they both equal 180 degrees.

Answer:

Step-by-step explanation:

standard deviation σ =5000

Mean μ = 36500

X = 30000

Probability that tire fails to reach 30000 miles

P(< 30000) = P( z < (30000-36500) / 5000 )

= P ( z < - 1.3 )

= .0968 ( from z table )

refund per mile = .01

refund for 30000 mile = .01 x 30000 = 300

expected cost of promotion

= 300 x .0968

= 29.04

b )

refund of $50 is equivalent to shortage of milage by 50 / .01 = 5000 miles

Probability of miles less than 30000 - 5000 = 25000

P ( X < 25000 ) = P ( z < (25000 - 36500) / 5000 )

P ( z < - 2.3 )

= 0.0107 Answer .

Answer:

The answer is 5:20 p.m

Step-by-step explanation:

2:45 to 3:45 is 1 hour. 3:45 to 4:45 is 2 hours and add 35 minutes is 5:20 p.m

Answer: B

Step-by-step explanation:

I just solved it

The correct answer is . The ordered pairs (a, b) of a function are (b, a) for the inverse function.

Answer:

the awnser is d

Step-by-step explanation:

Answer:

1:2

Step-by-step explanation:

18:36

Simplify:

36÷2=1, making 2 a good 2nd term

There are 2 candy bars every 1 lollipop.

1:2

1:2 is the ratio of lollipops to candy bars.

The relationship in quantity, amount, or size between two or more things.

Given that there are 18 lollipops and 36 candy bars,

Ratio = 18/36 = 1/2

Hence, 1:2 is the ratio of lollipops to candy bars.

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As a result, the inn hosted480 visitors in July.

Vertex: What is it?

A vertex is a location in geometry where two or more curves, lines, or edges converge. It is also referred to as the intersection of an object's edges, faces, or facets to form a corner point of a polygon, polyhedron, or other higher-dimensional polytope. Each of the three corners of a triangle, for instance, is a vertex.

x = -b / 2a

where -10 a and 120 b. By replacing these values, we obtain:

x = -120 / 2(-10) = 6

Let the people stayed be x

Because of this, July is the month with the most guests at the inn (6 months after January).

We may change x = 6 into N(x) to get the number of visitors who stayed at the inn during that month:

We must determine the highest value of N in order to determine the month when the inn had the most guests (x).

N(x) = -10x² + 120x + 120

N(6) = -10(6)² + 120(6) + 120 guests.

N(6) = -360 + 720 + 120

N (6) = 360+120

inn hosted 480visitors

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Answer:

Step-by-step explanation:

The function rule g(x) after the given transformations of the graph of f(x)=4x is g(x) = -1/2x

Transformation techniques

Transformation is the process of changing the position of an object on the xy-plane.

Given the parent function

f(x) = 4x

If the function is not reflected over x-axis, the resulting function will be f(x) = -4x

If the resulting function is compressed by a factors of 1/8, hence the final function rule will be;

g(x) = 1/8(-4x)

g(x) = -1/2x

Hence the function rule g(x) after the given transformations of the graph of f(x)=4x is g(x) = -1/2x

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Answer:

(3 x - 5)^{2}

Step-by-step explanation:

Rewrite the expression into the form of a^2\pm 2ab+b^2:(3 x)^{2} - 2 \times 3 x \times 5 + 5^{2}

Factor the expression using a^{2}\pm 2ab+b^{2}=(a\pm b)^{2}:(3 x - 5)^{2}

Answer: (3 x - 5)^{2}

The options we have are:

A)

B)

C)

D)

To solve this limits problem we need to consider the graph and our options.

It is important to note the minus sign on some of the options because the sign on the number that x tends to indicates the direction from where f(x) comes from.

We discard option A because f(x) only lends to 1, when x=0 from the left, so for this to be righ the x-->0 must have a "-" on the zero. (This is because the - represents that it tends to zero from the left)

We discard option B, because when x--->0- (which can read as: x tends to zero from the left) the value of f(x) tends to 1, not 2 as option B states.

Option C indicates that when x tends to 2 from the left (x-->2-) the value of f(x) is 1. This option is right. Because as we can see in the graph:

Answer: C

The total number of different signals consisting of flags is 216

Given data ,

The number of different signals consisting of 9 flags that can be made using 3 white flags, 3 red flags, and 3 blue flags can be calculated using combinatorial principles.

There are 3 choices for the top flag (white, red, or blue), 2 choices for the second flag (since we've already used one color for the top flag), and 1 choice for the third flag.

Similarly, there are 3 choices for the fourth flag, 2 choices for the fifth flag, and 1 choice for the sixth flag. Finally, there are 3 choices for the seventh flag, 2 choices for the eighth flag, and 1 choice for the ninth flag.

Using the multiplication principle, we can multiply the number of choices at each step to get the total number of different signals:

3 × 2 × 1 × 3 × 2 × 1 × 3 × 2 × 1 = 3! × 3! × 3!

where "!" represents the factorial operation, which is the product of all positive integers up to a given number.

So, the total number of different signals consisting of 9 flags that can be made using 3 white flags, 3 red flags, and 3 blue flags is:

3! × 3! × 3! = 6 × 6 × 6 = 216

Hence , the number of signals is 216

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Solution

Step 1:

To determine average rate of change from x = 2 to x = 5 .

Determine the corresponding values of y.

Step 2:

Find the rate of change from (2, -1) and (5 , 2)

Final answer

The average rate of change = 1

Answer:

Step-by-step explanation:

Using the remainder theorem we get:

\(f(-2)=-5\),  \(f(1)=4\), and \(f(-1)=0\)

So we get

\(f(-2)=(-8)(p-1)+4p-2q+r=-5\)

                 \(-8p+8+4p-2q+r=-5\)

                              \(-4p-2q+r=-13\)  \((a)\)

\(f(1)=(p-1)+p+q+r=4\)

                       \(2p+q+r=5\)               \((b)\)

\(f(-1)=-(p-1)+p-q+r=0\)

                                 \(-q+r=-1\)    \((c)\)

We need to solve (a), (b) and (c) simultaneously to find p,q, and r.

from \((c)\)  \(r=q-1\). Sub this into (a) and (b):

\(-4p-2q+(q-1)=-13 \rightarrow -4p-q=-12\)    \((d)\)

      \(2p+q+(q-1)=5 \rightarrow q=3-p\)              \((e)\)

Sub (e) into (d) we get

\(-4p-(3-p)=-12 \rightarrow p=3\)

Sub \(p=3\) into \((e) \rightarrow q=0\)

Sub  \(p=3,q=0\) into \((c) \rightarrow r=-1\)

SOLUTION: \(p=3,q=0,r=-1\)    

So \(f(x)=2x^3+3x^2-1\)

by dividing (x+1) into f(x) we get  (I am not showing working for this division)

\(f(x)=(x+1)(2x^2+x-1)\)

\(\rightarrow f(x)=(x+1)(2x-1)(x+1)\)

The algebraic expression is (7 + 3m)/27 < n

The statement is given as:

"The quotient of seven more than three times a number m and the number 27 is less than n"​

The numbers are represented as n and m

Quotient means divide

So, we have:

The quotient of seven more than three times a number m and the number 27 is represented as:

(7 + 3m)/27

The result is less than n.

So, we have:

(7 + 3m)/27 < n

Hence, the algebraic expression is (7 + 3m)/27 < n

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The pairs of complementary angles are:

1) 36° and 54°

4) 23° and 67°

5) 5° and 85°

Two angles A and B are complementary if the sum of the measures is equal to 90°.

For the given options, the 3 correct ones are:

1) 36° and 54°

The sum gives:

36° + 54° = 90°

So these are complementary.

4) 23° + 67° = 90°

These are also complementary.

5) 5° + 85° = 90°

These are also complementary.

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