Many bank accounts never go below zero. But some banks will allow a negative balance, at least for a short time, called an overdraft. It means someone has taken out, or 'drafted', more money than was in the account to begin with. Jack's account went into overdraft. To get back to a positive balance, he deposited money at a steady rate of $24.98 per week. After 6 weeks, he had $125.85 in the account. What was the balance when the account went into overdraft? HELPPPPPPPPPP

The number that belongs in the green box is 34.

An angle is the figure formed by two rays, called the sides of the angle, sharing a common endpoint, called the vertex of the angle

Angle A and C are congruent so if you wanted to set up an equation, that would be 2x + 112 = 180

subtract 32 from both sides

2x = 180-112

2x=68

Divide both sides by 2

x=34

You can check by adding 34 + 34 + 112 = 180

So angle C is 34

Hence, the number that belongs in the green box is 34.

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Because

9 lolipops + 2 pieces of gum eventually add up to 32 pieces of gum..

32 divided by 2 would give you 16  

9 times 16 =  144  

correct me if i am wrong))

Answer:6 km

Step-by-step explanatiotion

the velocity is 36 km per hour

60 minutes per hour so 36/6= 6 km

Answer:

6 games and 2 rides

Step-by-step explanation:

Start with the equation 3*1.50x+3y=15

Then plug that equation into desmos graphing calculator

Then round up

This will tell you the number of games, and rides Adam went on

Answer:

7 fewer than the number s is s-7

Answer: 7 fewer than a number s = s-7

Step-by-step explanation:

take away 7 from s

The value of x will be;

⇒ x = 5

Any relationship that is always in the same ratio and quantity which vary directly with each other is called the proportional.

Given that;

The polygons are similar.

Now,

Since, The polygons are similar.

Hence, There corresponding sides are in proportion.

⇒ 5 / 9 = (10/3) / (x + 1)

Solve for x as;

⇒ 5 (x + 1) = 9 × 10/3

⇒ x + 1 = 30/5

⇒ x + 1 = 6

⇒ x = 6 - 1

⇒ x = 5

Thus, The value of x = 5

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The partial derivative of r with respect to t at (0, 4) is e/4.

To find the partial derivative of r with respect to t, we need to hold the variable s constant and take the derivative of r with respect to t. The derivative of tes/t with respect to t is es/t^2. Since we are holding s constant at 0, we can replace s with 0, so we have e0/t^2 which simplifies to 0. Therefore the partial derivative of r with respect to t at (0, 4) is 0.

On the other hand, to find the partial derivative of r with respect to s, we need to hold the variable t constant and take the derivative of r with respect to s. The derivative of tes/t with respect to s is te/t. Since we are holding t constant at 4, we can replace t with 4, so we have 4e/4 which simplifies to e/4. Therefore the partial derivative of r with respect to s at (0, 4) is e/4.

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Answer: The restaurant owner would have to buy 4 plates and 3 spoons.

Step-by-step explanation:

12 x 3 = 36

9 x 4 = 36

Answer:

36

Step-by-step explanation:

36/12=3

36/9=4

An octagon has eight angles and all of them are right angles.

Answer:

An actual octagon doesn't have any right angles (90°) this is because it's interior angles are 135° each

The value of the value of limit [ff(x))] will be:  [tex]\lim _{x \rightarrow 2} f(f(x))=-1[/tex]

A limit in mathematics is the value that a function, output, or sequence approaches when an input, index, or other quantity approaches a certain value. Calculus and mathematical analysis are not possible without limits, which are also required to determine continuity, derivatives, and integrals.

By evaluating the function at values close to x=0, we may determine the size of a limit, if one exists. We are unable to immediately determine a function value for x=0 since the outcome would have an unknown denominator.

We have been given

[tex]$$f(x)=\left\{\begin{array}{cc}-x^2+3 x+3 & \text { for } x < 2 \\6 & \text { for } x=2 \\8-\frac{3}{2} x & \text { for } x > 2\end{array}\right.$$[/tex]

We need to find the value of  [tex]$\lim _{\lambda \rightarrow 2} f(f(x))$[/tex]

We know [tex]\lim _{x \rightarrow 2} f(x)=f(2)=6[/tex]

Now [tex]$\lim _{x \rightarrow 2} f[f(x)]=\lim _{x \rightarrow 2} f(6)$[/tex]=f(6)

We can find from given range as follows:

[tex]f(6)=8-\frac{3}{2} x\\=8-\frac{3}{2} \times 6\\=8-9=-1[/tex]

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Analysing the given triangle in the question and applying the pythagoras theorem, the length of the third side for the given triangle is 4.

The relationship between the three sides of a right-angled triangle is explained by the Pythagoras theorem, commonly known as the Pythagorean theorem. The Pythagorean Theorem states that the square of a triangle's hypotenuse is equal to the sum of its other two sides.

The pythagoras theorem is named after the Greek mathematician-philosopher Pythagoras.

In the given triangle, the sides with given length are:

Perpendicular(p) = 3

Base (b) = [tex]\sqrt{7}[/tex]

so , hypotenuse (h) = [tex]\sqrt{p^{2} +b^{2} }[/tex] = [tex]\sqrt{(\sqrt{7}) ^{2} + 3^{2} }[/tex]= 4

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The sum of the solutions of the quadratic x² + 7x - 18 = 0 is -7.

Therefore the answer is -7.

Quadratic equations can have two solutions, which are also called roots. The sum of the solutions of a quadratic equation of the form ax² + bx + c = 0 where a, b, and c are constants can be found using the relation

sum of solutions = -b/ a

In this case, the quadratic equation is x² + 7x - 18 = 0, so a = 1, b = 7, and c = -18. Plugging these values into the formula, we get:

Sum of solution = -7/ 1

Sum of solution = -7

--The question is incomplete, the complete question is given below--

"Find the sum of the solutions of the quadratic x² + 7x - 18 = 0."

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The sum of the solutions of the

quadratic

x² + 7x - 18 = 0 is -7

The degree of the equation is 2 and so it will have 2 roots. This also means that the equation is a

quadratic equation

.

sum of solutions = -b/ a

The

roots

of the equations are -9 and 2.

Here a=1, b=7 and c= -18.

Hence

sum

of solutions = -b/a = -7/1 = -7

The question is

incomplete

, it should be "Find the sum of the solutions of the quadratic x² + 7x - 18 = 0."

The slope of the line is the steepness it shows. Mathematically the slope is represented as the change in y with respect to the change in x.

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The Title, the Legend, the Source, Axis, and the Data are the 4 most important parts of a graph.

The title defines a short explanation of what is in your graph. This helps the reader identify what they are about to look at. It can be creative or simple as long as it tells what is in the graph.

This legend tells us that the line represents the actual amount spent on each child and the line represents the amount spent when adjusted for inflation.

The source explains where you found the information that is in your graph.

The most important part of your graph is the information or data, Line graphs can present more than one group of data at a time. In this graph, two sets of data are presented.

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We found perimeter of window is 2 (L + w) and area of window is (L × w)

The word perimeter implies the total length of the boundary of a closed geometrical shape. Different geometrical shape has different formula for calculating its perimeter.

Area is the total space occupied by a closed flat geometrical shape. The method of determining area is also different for various figure.

Let, the new window is rectangular in shape,

the length of window = L feet

the width of window = w feet

hence, the area of window = length × width

    area = L× w

We know the formula of perimeter for a rectangular shape = 2 (length + width)

therefore, perimeter for the window = 2 (L+ w)

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The coefficients are calculated by taking the derivatives of sin(x) at b = 0, which is the base point. The 3rd order Taylor polynomial is the 0th, 1st and 2nd derivatives, the 4th order Taylor polynomial is the 0th, 1st, 2nd and 3rd derivatives, and so on.

T3(x) = sin(x) - x^3/6

T4(x) = sin(x) - x^3/6 + x^5/120

T5(x) = sin(x) - x^3/6 + x^5/120 - x^7/5040

T6(x) = sin(x) - x^3/6 + x^5/120 - x^7/5040 + x^9/362880

We will use the formula for the Taylor polynomial of degree n:

Tn(x) = f(b) + f'(b)(x-b) + f''(b)(x-b)^2/2! + f'''(b)(x-b)^3/3! + ...+ f^(n)(b)(x-b)^n/n!

Since b = 0, we have:

T3(x) = sin(0) + sin'(0)(x-0) + sin''(0)(x-0)^2/2!

     = 0 + 1(x-0) + (-1)(x-0)^2/2!

     = 0 + x - x^3/6

     = sin(x) - x^3/6

T4(x) = sin(0) + sin'(0)(x-0) + sin''(0)(x-0)^2/2! + sin'''(0)(x-0)^3/3!

     = 0 + 1(x-0) + (-1)(x-0)^2/2! + (-1)(x-0)^3/3!

     = 0 + x - x^3/6 + x^5/120

     = sin(x) - x^3/6 + x^5/120

T5(x) = sin(x) - x^3/6 + x^5/120 - x^7/5040

     = 0 + 1(x-0) + (-1)(x-0)^2/2! + (-1)(x-0)^3/3! + 1(x-0)^4/4!

     = 0 + x - x^3/6 + x^5/120 - x^7/5040

     = sin(x) - x^3/6 + x^5/120 - x^7/5040

T6(x) = sin(x) - x^3/6 + x^5/120 - x^7/5040 + x^9/362880

     = 0 + 1(x-0) + (-1)(x-0)^2/2! + (-1)(x-0)^3/3! + 1(x-0)^4/4! + (-1)(x-0)^5/5!

     = 0 + x - x^3/6 + x^5/120 - x^7/5040 + x^9/362880

     = sin(x) - x^3/6 + x^5/120 - x^7/5040 + x^9/362880

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The results of the algebraic expressions by means of distributive property are listed below:

Case 9: - 6 · x + 10

Case 10: - 24 · x + 18 · y

Case 11: 15 · y - 10 · x

Case 12: - 8 · x - 28

Case 13: - 7 · x + 14

Case 14: - 24 · x + 12

In this question we have six cases of algebraic expressions that must be simplified by means of distributive property, which states that a combination of three real numbers x, y and z has the following relationship:

x · (y + z) = x · y + x · z

Now we proceed to simplify each expression by means of distributive property:

Case 9

2 · (- 3 · x + 5)

- 2 · 3 · x + 2 · 5

- 6 · x + 10

Case 10

6 · (- 4 · x + 3 · y)

- 6 · 4 · x + 6 · 3 · y

- 24 · x + 18 · y

Case 11

(3 · y - 2 · x) · 5

3 · 5 · y - 2 · 5 · x

15 · y - 10 · x

Case 12

(- 2 · x - 7) · 4

- 2 · 4 · x - 7 · 4

- 8 · x - 28

Case 13

- 7 · (x - 2)

- 7 · x + 7 · 2

- 7 · x + 14

Case 14

- 3 · (8 · x - 4)

- 3 · 8 · x + 3 · 4

- 24 · x + 12

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The most likely explanation for the difference in production between week 1 and week 2 is the addition of a chef.

Adding a chef could increase the number of dragon rolls and sashimi made per hour, as the chef would be able to help make the rolls faster.

The formula for calculating the difference in production between week 1 and week 2 is:

(Number of dragon rolls and sashimi produced in week 2 - Number of dragon rolls and sashimi produced in week 1) / Number of dragon rolls and sashimi produced in week 1

For example, if the anime sushi bar produced 100 dragon rolls and sashimi in week 1 and 150 dragon rolls and sashimi in week 2, then the difference in production between week 1 and week 2 would be:

(150 - 100) / 100 = 0.5

Therefore, the difference in production between week 1 and week 2 is 50%.

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The most likely explanation for the difference in production between week 1 and week 2 is the addition of a chef.

In this question we have been given that the anime sushi bar collects data on how many dragon rolls and sashimi are made per hour. dragon rolls take longer to make than sashimi.

We need to determine what might explain the difference in production between week 1 and week 2

Consider the following graph.

Adding a chef could increase the number of dragon rolls and sashimi made per hour, as the chef would be able to help make the rolls faster.

We can caculate the difference in production between week 1 and week 2 as:

Number of dragon rolls and sashimi produced in week 2 - Number of dragon rolls and sashimi produced in week 1

Since the production increased across the board at each level for both types of rolls, the difference in production is most likely due to adding a chef. If there was only one chef, one roll would increase and the other would decrease because they could only spend their time on one thing.

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Answer: 7 bracelets

Step-by-step explanation:

1 bracelet : 2/3 ft

4 3/4 = 19/4 feet

19/4 / 2/3 = 19/4 * 3/2

= 57/8 = 7 bracelets max

Answer:

7 bracelets

Step-by-step explanation:

Length of the bracelet = 2/3 ft

Length of the whole string = 4¾ ft

So, to find the number of bracelets can be made, divide the length of the whole string by the length of a bracelet.

Let us solve it now.

[tex] \sf \: Number \: of \: bracelets = \frac{Length \: of \: the \: whole \: string}{Length \: of \: a \: bracelet} \\ \sf \: No \: of \: bracelets = 4 \frac{3}{4} \div \frac{2}{3} [/tex]

First, make the fractions as improper fractions.

[tex]\sf \: No \: of \: bracelets = 4 \frac{3}{4} \div \frac{2}{3} \\ \sf \: No \: of \: bracelets = \frac{19}{4} \div \frac{2}{3} [/tex]

Now, multiply the first fraction by the reciprocal of the second fraction.

[tex] \sf \: No \: of \: bracelets = \frac{19}{4} \times \frac{3}{2} \\ \sf \: No \: of \: bracelets = \frac{57}{8} = 7.125 \\ \sf \: approx =7\: bracelets[/tex]

The surface area of the given prism is 3744 square cm.

The space occupied by any two-dimensional figure in a plane is called the area. The area of the outer surface of any body is called the surface area.

Here the prism contains six surfaces out of these two are trapezoidal and the other is rectangular so the total surface area will be the sum of the area of the trapezoid and the rectangles.

The surface area will be calculated as,

SA = 2 [(24/2)(29+12) + ( 12 x 30 ) + ( 26 x 30 ) + ( 25 x 30 ) + ( 29 x 30)

SA = 984 + 360 + 780 + 750 + 870

SA = 3744 square cm

Therefore, the total surface area will be 3744 square cm.

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The value of the sequence aₙ₊₁ is -5.5

The definition of the sequence is given as

8.0, 6.5, 5.0, 3.5, . . .

The above definitions imply that we simply subtract 1.5 from the previous term to get the current term

Using the above as a guide,

So, we have the following representation

aₙ₊₁ = aₙ - 1.5

From the question, we have

aₙ = -4.0

Substitute the known values in the above equation, so, we have the following representation

aₙ₊₁ = -4.0 - 1.5

Evaluate

aₙ₊₁ = -5.5

Hence, the value of aₙ₊₁ is -5.5

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The equation of the line that passes through the points (−8, −10) and (6, 3)

The slope, m of the linear function is calculated using the points (−8, −10) and (6, 3)

m = (y₀ - y₁) / (x₀ - x₁)

m = (-10 - 3) / (-8 - 6)

m = (-13) / (-14)

m = 13/14

equation passing through point (6, 3) using the point slope formula

(y - y₁) = m'  (x - x₁)

y - 3 = 13/14(x - 6)

y - 3 = 13/14 x - 39/7

y = 13/14 x - 39/7 + 3

y = 13/14 x - 18/7

The equation of the line in slope intercept form is y = 13/14 x - 18/7

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Answer: Use the second equation, add the y on both sides to get x= y +14. Then plug in y+14 to the x in the first equation and solve. Take the solution of that to get y and plug it into the second equation to find the value of x.

Step-by-step explanation:

Answer:

9√6ab² ,-5-√6ab²…2√6b²a are like radicals.

The direct variation equation is y = 7x. The graph is shown below.

A direct variation equation is an equation that describes a relationship between two variables in which one variable is directly proportional to the other. This means that the ratio of the two variables is always the same, regardless of the values of the variables.

To write a direct variation equation, you need to know the constant of proportionality, which is the value that relates the two variables. Let's call this constant k.

Then, the general form of a direct variation equation is:

y = kx

where x and y are the two variables and k is the constant of proportionality.

Therefore, to write the equation of the direct variation, find the value of k by substituting y = 8.4 and x = 1.2 into y = kx:

8.4 = k(1.2)

8.4/1.2 = k

k = 7

Substitute the value of k into y = kx:

y = 7x

The graph of the equation is shown below.

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The unit price of 24 oz can of soup is $0.2

8 oz can of soup cost $1.75

24 oz can of soup cost $4.90

The unit price of 24 oz can of soup can be calculated as follows

24= 4.90

1= x

Cross multiply both sides

24x= 4.90

Divide by the coefficient of x which is 24

24x/24= 4.90/24

x= 0.2

Hence the unit price of 24 oz can of soup is $0.2

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Answer:

10.224 hours =
10 hours 13 minutes 26.4 seconds

Step-by-step explanation:

24 hours x 42.6% = 10.224 hours

If we need to express in hours, minutes, seconds, then:

24 hours = 24 * 3600 = 86400 sec
86400 sec x 42.6% = 36806.4 sec

Hours:
36806.4 sec // 3600 sec = 10 hours
remainder: 36806.4 sec - 3600 sec x 10 hours = 806.4 sec

Minutes:
806.4 sec // 60 sec = 13 minutes
remainder: 806.4 sec - 13 minutes x 60 sec = 26.4 sec

Full answer: 10 hours 13 minutes 26.4 seconds

Answer:10.224

Step-by-step explanation:its what the calculator said when i put in 42.6 percent of 24

Answer: A fraction where the denominator (bottom number) is larger than the numerator (top number). Examples: [tex]\frac{3}{7}[/tex], [tex]\frac{15}{39}[/tex], [tex]\frac{42}{50}[/tex]

Step-by-step explanation:

To solve this we must be knowing each and every concept related to exponential decay and its calculations. Therefore, y=a.b(x) with o<b<1 is the equations that  best describes exponential decay. The correct option is option A.

Exponential decay is indeed a scalar many of the exponential function, which has a known expected value (i.e. the individual lifespan of each item is exponentially distributed).

It may be stated as y=a(1-b)x, where y seems to be the ultimate amount, an is indeed the initial amount, b is indeed the decay factor, as well as x seems to be the time elapsed. y=a.b(x) with o<b<1 is the equations that  best describes exponential decay.

Therefore, y=a.b(x) with o<b<1 is the equations that  best describes exponential decay. The correct option is option A.

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The sample statistic 'S' is the point estimator of σ. So the correct answer is D: "σ".

In statistics, an estimator is used for the purpose of estimating a parameter that is not known. An estimator is defined as a function of the data in a sample. The sample mean and sample variance are common estimators, which which are used to estimate or guess the unknown population means and variance.

The 'S' is the sample statistic that is the point estimator of 'σ'; that is 'S' is an estimator of σ. Thus option D i.e. "σ" is the correct answer to this question.

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