A dolphin jumped from 5 feet below the surface of the sea. Jane wrote −5 to represent the depth from which the dolphin jumped. What does 0 represent in this situation?

The y-intercept of the line with slope of m = -3/2 and passing though the point (-6, 2) is -7.

The equation of a straight line is y=mx+c y = m x + c m is the gradient and c is the height at which the line crosses the y-axis, also known as the y -intercept.

Given that, a line has a slope of m = -3/2 and the point (-6, 2) lies on the line, we need to find the y-intercept,

The general equation of the line in slope-intercept form is given by, y = mx+c,

Where, c is the y-intercept and m is the slope of the line,

Therefore, the equation of the asked line in terms of c is:-

y = -3x/2+c.....(i)

To find the value of c, put x = -6 and y = 2,

Therefore,

2 = -3(-6)/2+c

2 = 18/2 + c

2 = 9 + c

c = -7

Since, c is the y-intercept

Hence, the y-intercept of the line with slope of m = -3/2 and passing though the point (-6, 2) is -7.

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The solution to the system of equations is x = -3 and y = -4.

To solve the system of equations:

Equation 1: 2x - y = -10

Equation 2: 3x + 2y = -1

We can use the method of substitution or elimination to find the values of x and y.

Let's use the method of elimination:

Multiply Equation 1 by 2 to make the coefficients of y in both equations equal:

2(2x - y) = 2(-10)

4x - 2y = -20

Now, we can eliminate y by adding Equation 2 and the modified Equation 1:

(3x + 2y) + (4x - 2y) = -1 + (-20)

7x = -21

x = -3

Substitute the value of x into Equation 1 to solve for y:

2(-3) - y = -10

-6 - y = -10

y = -10 + 6

y = -4

Therefore, the solution to the system of equations is x = -3 and y = -4.

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Answer:

x = (7,0)

y = (0,1)

Step-by-step explanation:

Max and Pam will be able to spend $676.1 on their trip.

The formula accrued amount in a compounded interest is expressed as;

A = P( 1 + r/n )^( n × t )

Where A is accrued amount, P is principal, r is interest rate and t is time.

Given the data in the question;

Principal P = $600.00

Compounded quarterly n = 4

Time t = 3  years

Interest rate r = 4%

Accrued amount A = ?

First, convert R as a percent to r as a decimal

r = R/100

r = 4/100

r = 0.04 rate per year.

Plug the given values into the above formula and solve for A.

A = P( 1 + r/n )^( n × t )

A = $600( 1 + 0.04/4 )^( 4 × 3 )

A = $600( 1 + 0.01 )^( 12 )

A = $600( 1.01 )^( 12 )

A = $676.1

Therefore, the accrued amount after 3 years is $676.1.

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Answer:

Step-by-step explanation:

sry ion no 11

From the given figures

Since LH // KJ, then

GL = 6, LK = 30

GH = 3, HJ = y

Substitute them in the ratio above

By using cross multiplication

Divide both sides by 6

Since GJ = GH + HJ

The answer is 36

Step-by-step explanation:

There are 8 different kinds of soda and the store ordered 567,858. All we have to do to see the total bottles the store ordered is multiply the two numbers.

8x567,858=4,542,864.

The answer is 4,542,864

Answer: 50

Step-by-step explanation: 50+(-40)=10 is the same as 50-40=10.

Answer:

50

Step-by-step explanation:

50+(-40)= 10

I know this because 50 is bigger ten more than 40.

50-40=10

thats is how i know 50 is the answer.

Hope it helps,

pls give me brainliest it it is correct! :)

(i) The first term (a) is 24 and the common difference (d) is -2.

(ii) The sum of the progression is 2520.

i) Finding the first term and common difference:

Given that the number of terms in the arithmetic progression is 40 and the last term is -54, we can use the formula for the nth term of an arithmetic progression to find the first term (a) and the common difference (d).

The nth term formula is: An = a + (n-1)d

Using the given information, we can substitute the values:

-54 = a + (40-1)d

-54 = a + 39d

We also know that the sum of the first 15 terms added to the sum of the first 30 terms is zero:

S15 + S30 = 0

The sum of the first n terms of an arithmetic progression can be calculated using the formula:

Sn = (n/2)(2a + (n-1)d)

Substituting the values for S15 and S30:

[(15/2)(2a + (15-1)d)] + [(30/2)(2a + (30-1)d)] = 0

Simplifying the equation:

15(2a + 14d) + 30(2a + 29d) = 0

30a + 210d + 60a + 870d = 0

90a + 1080d = 0

a + 12d = 0

a = -12d

Substituting this value into the equation -54 = a + 39d:

-54 = -12d + 39d

-54 = 27d

d = -2

Now we can find the value of a by substituting d = -2 into the equation a = -12d:

a = -12(-2)

a = 24

Therefore, the first term (a) is 24 and the common difference (d) is -2.

ii) Finding the sum of the progression:

The sum of the first n terms of an arithmetic progression can be calculated using the formula:

Sn = (n/2)(2a + (n-1)d)

Substituting the values:

S40 = (40/2)(2(24) + (40-1)(-2))

S40 = 20(48 - 39(-2))

S40 = 20(48 + 78)

S40 = 20(126)

S40 = 2520

Therefore, the sum of the arithmetic progression is 2520.

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Answer:

circumference of circle=2πr=2×3.14×3.5=21.98=22

The probability she pulls out a purple piece of candy would be 0.22.

In mathematics, an expression or mathematical expression is a finite combination of symbols that is well-formed according to rules that depend on the context.

Mathematical symbols can designate numbers (constants), variables, operations, functions, brackets, punctuation, and grouping to help determine order of operations and other aspects of logical syntax.

Given is Sam's fathers collection.

We can write the equations for upstream and downstream as -

x - y = 7/2

x + y = 21/10

Solving the equations graphically -

{x} = 2.8

{y} = 0.7
In still water, the speed would be -

S = 3 - 0.7

S = 2.3 Km/h

Distance peddled upstream -

D = 2.8 x 3.5 = 9.8 Km

Therefore, the speed in still water would be 2.3 Km/h and the distance peddled upstream would be 9.8 Km.

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The expression that represents the third angle of the triangle is (220 - 7x) degrees.

To find the third angle of a triangle when the other two angles are given, we can use the fact that the sum of the angles of a triangle is always 180 degrees.

So, if the two given angles are (3x-20) and (4x-20), we can write an equation:

(3x-20) + (4x-20) + third angle = 180

Simplifying this equation, we get:

7x - 40 + third angle = 180

Adding 40 to both sides, we get:

7x + third angle = 220

Subtracting 7x from both sides, we get:

Third angle = 220 - 7x

Hence, the third angle is (220 - 7x) degrees.

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Answer:

22

Step-by-step explanation:

4x11x1/2=22

I really hope this helps

Answer:

see below

Step-by-step explanation:

1. Find the equation of the solid line: y=x+4

2. Notice the shading is ABOVE the SOLID line, so y ≥ x+4.

3. Find the equation of the dotted line: y = -x - 1.

4. Again, the shading is ABOVE the line, so y > -x - 1

5. Check:

    Select any point in the shaded region - such as (0,8)

    Replace x with 0 and y with 8 in BOTH inequalities to see if they make TRUE statements

    Ex: 8 ≥ 0 + 4? YES

          8 > -0 -1? YES

To determine when The Bowling Pin is the best deal for Tina, we need to compare the total cost at each bowling alley.

The total cost at The Bowling Pin is the shoe rental cost plus the cost per game. The total cost at The Alley Way is also the shoe rental cost plus the cost per game.

To compare these costs, we can set up the following inequality:

Total cost at The Bowling Pin < Total cost at The Alley Way

Substituting the cost values, we get:

(5 + 3.5x) < (3 + 4x)

This inequality can be simplified to:

5 + 3.5x < 3 + 4x

Therefore, the correct inequality is (B) 5 + 3.5x < 3 + 4x.

If Tina plans on playing x games of bowling, this inequality shows that The Bowling Pin is the best deal for Tina if the total cost at The Bowling Pin is less than the total cost at The Alley Way.

Answer:

To determine the lowest amount that agent C could have earned in 2014, we need to know the number of tanks that agent C sold in 2014 and the commission rate per tank.

Let's assume that the commission rate per tank for agent C is R x. We need to find the lowest value of R that would result in the agent earning a minimum commission of R713.76 per tank.

We know that the commission earned per tank is the product of the commission rate and the selling price of the tank. Let's assume that the selling price of each tank is SP.

So, the commission earned per tank is R x SP.

We also know that the minimum commission per tank is R713.76. Therefore,

R x SP >= R713.76

Solving for R, we get:

R >= R713.76 / SP

This means that the commission rate per tank must be at least R713.76 / SP in order for the agent to earn a minimum commission of R713.76 per tank.

Now, let's assume that agent C sold a total of T tanks in 2014. The total commission earned by agent C in 2014 would be:

Total Commission = R x SP x T

From the above equation, we can see that the total commission earned by agent C depends on the commission rate per tank, the selling price per tank, and the number of tanks sold.

To find the lowest amount that agent C could have earned in 2014, we need to minimize the total commission earned by agent C subject to the constraint that the commission rate per tank is at least R713.76 / SP.

Assuming that the selling price per tank is fixed, the lowest amount that agent C could have earned in 2014 would be when the commission rate per tank is equal to R713.76 / SP. In this case, the total commission earned by agent C would be:

Total Commission = R713.76 x T

Therefore, the lowest amount that agent C could have earned in 2014 is R713.76 x T, where T is the number of tanks sold by agent C in 2014.

Therefore , the solution of the given problem of probability comes out to be a)1/78 ,b)65/624 ,c)1/4 ,d)0 and e)12/13.

The basic goal of any considerations technique is to assess the probability that a statement is accurate or that a specific incident will occur. Chance can be represented by any number range between 0 and 1, where 0 normally indicates a percentage but 1 typically indicates the level of certainty. An illustration of probability displays how probable it is that a specific event will take place.

Here,

a.

P(Bert gets a Jack and Ernie rolls a five) = P(Bert gets a Jack) * P(Ernie rolls a five)

= (4/52) * (1/12)

= 1/78

b.

P(Bert gets a heart and Ernie rolls a number less than six) = P(Bert gets a heart) * P(Ernie rolls a number less than six)

= (13/52) * (5/12)

= 65/624

c.

P(Bert gets a face card and Ernie rolls an even number) = P(Bert gets a face card) * P(Ernie rolls an even number)

= (12/52) * (6/12)

= 1/4

d.

P(Bert gets a red card and Ernie rolls a fifteen) = 0

e.

Ernie rolls a number that is not twelve, and Bert draws a card that is not a Jack:

A regular 52-card deck contains 48 cards that are not Jacks,

so the likelihood that Bert will draw one of those cards is 48/52, or 12/13.

On a 12-sided dice with 11 possible outcomes,

Ernie rolls a non-12th-number (1, 2, 3, etc.).

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45 people used credit card on that particular day , this could be found out using simplified multiplication.

What is proportion?

A quantitative relation is an ordered try of numbers a and b, written a / b wherever b doesn't equal zero.

A proportion is an equation within which 2 ratios ar set up to one another.

Main body:

We have been given that during one particular sales day, 75% of the store's customers paid with credit cards. There were 60 customers that day.

To find the number of people, who used credit card, we will find 75% of 60.

The number of people who used credit card = (75 / 100 )* 60

The number of people who used credit card = 0.75 *60

The number of people who used credit card = 45

Therefore, 45 people used credit card on that particular day.

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Answer:

3n²-7

Step-by-step explanation:

• Let a number be 'n'

• 3 times a number will be 3n

• the square of a number will be n² thus 3n²

• -7 comes at the end of the expression

• your constant is the value/number without a variable (in this case 'n' is your variable)

• -7 is your constant.

Answer:

x - -5.78526086, -1.50769051, 2.29295138

Step-by-step explanation:

Try to graph each side of the equation. The solution Is probably the x-value of the point of intersection. Sorry if this is wrong I tried my best!

Answer:

def?

Step-by-step explanation:

Answer:

D, E, F

Step-by-step explanation:

I have ixl too!

Hope this helps.

Answer:

\(\dfrac{5e^2}{2}\)

Step-by-step explanation:

Differentiation is an algebraic process that finds the slope of a curve. At a point, the slope of a curve is the same as the slope of the tangent line to the curve at that point. Therefore, to find the slope of the line tangent to the given function, differentiate the given function.

Given function:

\(y=x^2\ln(2x)\)

Differentiate the given function using the product rule.

\(\boxed{\begin{minipage}{5.5 cm}\underline{Product Rule for Differentiation}\\\\If $y=uv$ then:\\\\$\dfrac{\text{d}y}{\text{d}x}=u\dfrac{\text{d}v}{\text{d}x}+v\dfrac{\text{d}u}{\text{d}x}$\\\end{minipage}}\)

\(\textsf{Let\;$u=x^2}\)\(\textsf{Let\;$u=x^2$}\implies \dfrac{\text{d}u}{\text{d}x}=2x\)

\(\textsf{Let\;$v=\ln(2x)$}\implies \dfrac{\text{d}v}{\text{d}x}=\dfrac{2}{2x}=\dfrac{1}{x}\)

Input the values into the product rule to differentiate the function:

\(\begin{aligned}\dfrac{\text{d}y}{\text{d}x}&=u\dfrac{\text{d}v}{\text{d}x}+v\dfrac{\text{d}u}{\text{d}x}\\\\&=x^2 \cdot \dfrac{1}{x}+\ln(2x) \cdot 2x\\\\&=x+2x\ln(2x)\end{aligned}\)

To find the slope of the tangent line at x = e²/2, substitute x = e²/2 into the differentiated function:

\(\begin{aligned}x=\dfrac{e^2}{2}\implies \dfrac{\text{d}y}{\text{d}x}&=\dfrac{e^2}{2}+2\left(\dfrac{e^2}{2}\right)\ln\left(2 \cdot \dfrac{e^2}{2}\right)\\\\&=\dfrac{e^2}{2}+e^2\ln\left(e^2\right)\\\\&=\dfrac{e^2}{2}+2e^2\\\\&=\dfrac{5e^2}{2}\end{aligned}\)

Therefore, the slope of the line tangent to the graph of y = x²ln(2x) at the point where x = e²/2 is:

\(\boxed{\dfrac{5e^2}{2}}\)

Answer:150

Step-by-step explanation:

Answer:

150

Step-by-step explanation:

In U.S. dollars, the equivalent money will be $100.74

Given is your dinner in London cost 82 British pounds

Then in U.S. dollars, the equivalent money will be equivalent to -

x = 82 pounds = 82 x 1.2286 = $100.74

x = $100.74

Therefore, in U.S. dollars, the equivalent money will be $100.74

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The two angles to be selected are as follows with their termination quadrants respectively;

According to the task content, two angles are to be selected in which case one is in degrees and the other in radians with the quadrants in which their terminal sides lie.

Consequently, it follows from convention that the angles in discuss are as follows;

Ultimately, the angles are as represented above in which case, (4π/3) radians is equivalent to 240°.

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Answer:

D

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

On edge

Answer:

40.6

Step-by-step explanation:

Use the pythagorean theorem a^2+b^2=c^2

25^2+32^2=1649

The square root of 1649 is 40.607

Answer:

D) 40.6

Step-by-step explanation:

When finding the hypotenuse, you square the two leg values (in this case, 25 and 32). Then, you add them together and find the square root of the sum. Use the Pythagorean theorem: a²+b²=c²

Answer:

1,043 km

Step-by-step explanation:

hi hope you have a good dayy

Answer:

Distance between points (10, 19) and (-13, 9) is 25.0799

Step-by-step explanation:

Input Data :

Point 1 (xA, yA)  = (10, 19)

Point 2 (xB, yB) = (-13, 9)

Formula : Distance between two points = √(xB − xA)^2 + (yB−yA)^2

Solution :

Distance between two points = √(−13−10)^2+(9−19)^2=

√(−23)^2+(−10)^2

= √529+100

= √629

= 25.0799

hope this helps and is right. p.s i really need brainliest :)

Answer:

2n + n² -1

Step-by-step explanation:

2n + 2 + n² - 3

2n + n² -1

Lemme know if I read the equation wrong :)

Answer: B. The area of the square pizza is larger.

Step by step solution:

With the information given, we can calculate the area of the circular pizza and the square pizza, to determine which statement is true.

The area of a circle can be calculated using the formula:

We know the circular pizza has a 10-inch diameter, replace D on the above formula:

The area of a square can be calculated using the formula:

We know the sides of the square pizza are 9-inches, replace on the above formula: