Calculate the TOTAL amount 1 that Mia has to pay back if she takes the loan. Why, do you think, do banks 2 and other financial institutions offer cash loans to people that did not apply for it? Wh: fitable2 Sh​

In conclusion, we cannot apply Rolle's Theorem to the function g on the interval (0,k) for any value of k.

To show that g satisfies the hypotheses of Rolle's Theorem on the interval (0,k), we need to verify that:
1. g is continuous on [0,k]
2. g is differentiable on (0,k)
3. g(0) = g(k)

Since g(x) = (22/3)x - 22, it is a polynomial function, and therefore it is both continuous and differentiable on any interval. So, the first two conditions are satisfied.

Now, we need to find the value of k that satisfies the third condition:
g(0) = g(k)
(22/3)(0) - 22 = (22/3)k - 22
0 = (22/3)k
k = 0

Since k cannot be equal to 0 (because the interval is (0,k)), there is no value of k that satisfies the third condition.

Therefore, g does not satisfy the hypotheses of Rolle's Theorem on the interval (0,k) for any value of k.

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The algebraic Formulas are:

a² – b² = (a-b)(a+ b), (a+ b)² = a² + 2ab + b², (a-b)² = a² – 2ab + b²

a² + b² = (a-b)² +2ab, (a+ b+ c)² = a²+b²+c²+2ab+2ac+2bc, etc.

Algebraic Expression:

Numeric expressions apply operations to numbers. For example, 2(3 + 8) is a numeric expression. But if the expression contains variables and algebraic terms, it becomes an algebraic expression. Thus, an algebraic expression consists of "having one variable and having at least one operation, such as addition, subtraction, multiplication, division, etc. An algebraic expression is an expression composed of constants, variables and some operations algebraic.

Thus, an algebraic expression is made up of three basic elements:

1. Coefficients (i.e. numbers)

2. Constants (letters of the alphabet such as a, b, c )

3. Variables (letters at the end of the alphabet, such as x, y, z)

For example, 2 (x + 8y) is an algebraic expression. Algebraic expressions are expressions composed of constants, variables and some algebraic operations. For example, 3x² − 2xy + d is an algebraic expression.

The Algebraic Formula are listed below:

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There are 94,080 distinct permutations that can be formed using the letters of the word 'BOOKKEEPER'.

The word 'BOOKKEEPER' has 10 letters, but two of them are O's, three are E's and two are K's. So, we have:

2 distinct B's

1 distinct R

2 distinct O's

3 distinct E's

2 distinct K's

1 distinct P

The total number of distinct permutations can be found using the formula:

n! / (n1! * n2! * ... * nk!)

where n is the total number of items, ni is the number of items that are identical within a group, and k is the number of groups of identical items.

Applying this formula to the letters in 'BOOKKEEPER', we get:

10! / (2! * 1! * 2! * 3! * 2! * 1!)

= 10 x 9 x 8 x 7 x 6 x 5 x 4 / (2 x 1 x 2 x 1 x 3 x 2 x 1)

= 94,080

Therefore, there are 94,080 distinct permutations that can be formed using the letters of the word 'BOOKKEEPER'.

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The percentage is 60%

The percentage is a fraction or a ratio in which the value of the whole (denominator) is always 100. For example, if Sam scored 30% marks in his math test, it means that he scored 30 marks out of 100. It is written as 30/100 in the fraction form and 30:100 in terms of ratio. Here "%" is the symbol of percentage and is read as "percent" or "percentage". This percent symbol can always be replaced with "divided by 100" to convert it into a fraction or decimal equivalent.

Now, According to the information:

Scott made six out of ten baskets:

then, [tex]\frac{6}{10}[/tex]

Convert into percentage

Multiply by 10 :

So, [tex]\frac{6}{10}[/tex] × [tex]\frac{10}{10}=\frac{60}{100}[/tex] = 0.6 = 60%

Hence, The percentage is 60%

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The given function does not have any intervals because the derivative we get is not defined for the negative scale.

To know about the increasing or decreasing nature of a function we calculate the rate of change of that function by taking the derivative.

so d(lnx.7x)/dx=0

= (1/x)7x + 7lnx = 0

= 7 + 7 lnx = 0

= 7(1+lnx) = 0

= 1+lnx = 0

so, according to this, the critical point will come on the value of x where lnx = -1 but, the ln function is not defined for the negative scale so, so this question cannot be solved.

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Answer:

Step-by-step explanation:

If one inch on the scale drawing represents 12 feet in real life, we can use the following dimensions to make a scale drawing of a building that is 75 feet by 80 feet:

Width of the scale drawing = (width of the building ÷ 12) inches

= (80 ÷ 12) inches

= 6.67 inches (rounded to two decimal places)

Length of the scale drawing = (length of the building ÷ 12) inches

= (75 ÷ 12) inches

= 6.25 inches (rounded to two decimal places)

Therefore, the scale drawing of the building would be 6.67 inches wide by 6.25 inches long.

Answer:

the coefficient is 3

Step-by-step explanation:

Answer:

x = 5 (Amount of problems each student got equally)

Equation - "5x + 2 =27"

Working out:

The story focuses on the problems, so the equation will link to the output of the problem.

The story starts with 5 students, so 5 will be a coefficient of x.

The story has a total of 27 problems given to the 5 students, so this will be solving a linear equation.

There are +2 problems added individually to a student, so this will be a constant itself.

Putting all this together gives us:

5x + 2 = 27

x = Number of problems each student got equally.

Solving it:

5x + 2 =27

5x = 25

x = 5

Each student got 5 problems equally, and one individual student got 2 extra (wohoo).

Hope this has helped! ^^

Answer:

Ann read 34 pages of her book today.

We are given that Ann reads 10 pages of her book everyday, so we know that Ann reads 10 pages today. We are also given that she reads an additional 2 pages for every free minute she has. Today, she has 12 free minutes, so for each of those 12 minutes, she reads 2 additional pages. Thus, the amount of pages she reads in her free times is found by multiplying 2 times 12.

Amount read in free time = 2 × 12 = 24

Now, we have that Ann read 10 pages as she does every day, and she read an additional 24 pages in her free time. Therefore, the total number of pages that Ann read today is equal to 10 plus 24.

Total pages read today = 10 + 24 = 34

We get that Ann read a total of 34 pages of her book today.

The initial height of the skydiver can be determined by looking at the graph that is 4000ft.  

A slope is a measure of the steepness or incline of a line. It is a ratio of the vertical change to the horizontal change between two points on a line, or surface. It is usually expressed as a ratio, a percentage, or an angle.      

The graph begins at a height of 4000ft, showing that this is the initial height of the skydiver. The graph is a line with a negative slope, indicating that the height is decreasing as time passes. This is due to the acceleration due to gravity, which causes the skydiver to fall at a faster rate. The fact that the line is linear also demonstrates that the rate of acceleration is constant. Therefore, we can conclude that the skydiver’s initial height was 4000ft.

At the initial height of 4000ft, the graph has a value of 0 for time. As time increases, the height decreases, showing that the skydiver has fallen. This is expected, as gravity is always acting on the skydiver, causing them to accelerate downward. The graph shows that the skydiver’s height decreases by 10ft per second of time, indicating that the skydiver is falling at a rate of 10ft/s. Therefore, the initial height of the skydiver can be concluded to be 4000ft.

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Anjelique has travelled further than Jamila because she has travelled 120 kilometres, whereas Jamila has travelled 115 kilometres.

In terms of length, a mile equals 1760 yards or 1.6 kilometres. This is a commonly used unit to determine how far apart two places are. A mile is a unit of measurement for distance that is used all over the world that is equal to 5280 feet, or around 1.609 kilometres.

Another unit of measurement, the kilometre, is made up of 1000 metres (0.62 miles) and is frequently used to determine how far apart two sites are from one another.

1-mile equals 1.609 kilometres.

Given,

Anjelique travels 75 miles = 75×1.6 = 120kms

Jamila travels = 115kms

120kms>115kms

Therefore, Anjelique has travelled further than Jamila.

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The complete question is:

Anjelique travels 75 miles Jamila travels 115 kilometres show that Anjelique travelled further than Jamila.

Answer:

chicken nuggets my guuuuuuuuy

The probability that Keiran saw exactly one animal which is a lion will be 1/3.

The chance of the event to happen is given as,

P = (Favorable event) / (Total event)

The probability that Keiran saw a lion is 2/5.

The probability that Keiran saw a rhino after watching a lion is 5/6.

The probability that Keiran saw a rhino without watching a lion is 4/9.

The probability that Keiran saw exactly one animal which is a lion is given as,

P = (2/5) x (5/6)

P = 2 / 6

P = 1/3

The probability that Keiran saw exactly one animal which is a lion will be 1/3.

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The correct option is 792 square feet for the area of the four out of the seven equal pieces of the circle.

The area of a circle is π multiplied by the square of the radius. The area of a circle (A) when the radius 'r' is given is πr².

Area of circle = πr²

π = 22/7

radius = 21 ft

Area of the circle = 22/7 × (21 ft)²

Area of the circle = 22 × 3 ft × 21 ft

Area of the circle = 1386 ft²

One of the seven equal pieces = 1386 ft²/7

One of the seven equal pieces = 198 ft²

Four of the seven equal pieces = 4 × 198 ft²

Four of the seven equal pieces = 792 ft²

Therefore, the area of the four out of the seven equal pieces of the circle is equal to 792 square feet.

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Answer:

The correct option is 792 square feet

The standard error of the mean is 0.75

From the question, we have the following parameters that can be used in our computation:

Using the above as a guide, we have the following:

Standard Error = Standard deviation/Square root of sample size

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

Standard Error = 25/√1100

Evaluate

Standard Error = 0.75

Hence, the standard error is 0.75

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The measures of m∠5 is 118° and m∠8 is 62° in the given parallel lines.

Parallel lines are two or more lines that lie in the same plane but never intersect. They are equidistant from each other and have the same slope. Many pairs of angles are formed when two parallel lines are intersected by another line known as a transversal. Some angles are congruent (equal), while others are supplementary (different).

If m∠3 = 118° then  m∠5 also = 118° as alternate interior angles

So, m∠5 = 118°

And therefore

m∠5 +  m∠8 = 180° due to angle sum property, i.e.

118° + m∠8  = 180°

m∠8  = 180° - 118°

m∠8 = 62°

Thus, the measures of m∠5 is 118° and m∠8 is 62° in the given parallel lines.

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Based on the information in the graph, we can establish that a catfish with a length of 33 inches would weigh 33 pounds.

To calculate the weight of the catfish we must perform a mathematical operation taking into account the information in the graph:

We must assume that: y = mx + b

Then, we must replace this equation with the coordinate values given in the graph:

So it would be 33 pounds.

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Answer:

1. 258

2. 257.8

3. 257.77

Step-by-step explanation:

Answer:

Step-by-step explanation:

[tex]\frac{1+tan^{2} x }{tanx} =\frac{sec^{2} }{tanx} \\divide \ each \ side \ with \ tanx,\\1+tan^{2} x=sec^{2}[/tex]

[tex]tan^{2} x=\frac{sec^{2} x}{cos^{2} x} \\1+\frac{sec^{2} x}{cos^{2} x} \\=sec^{2} x\\\frac{cos^{2} x}{cos^{2} x} +\frac{sec^{2} x}{cos^{2} x}=\frac{cos^{2} x+sec^{2}x }{cos^{2} x} \\which \ we \ know \ cos^{2} x+sec^{2}x =1\\so,\frac{cos^{2} x+sec^{2}x }{cos^{2} x} =1/cos^{2} x=sec^{2} x\\sec^{2} x*cos^{2} x=1[/tex]

Answer:

x>-3

Step-by-step explanation:

there u go now I am just typing

Answer: the shortest distance from Port A to Port B is approximately 191 kilometers.

Step-by-step explanation:

We can solve this problem using the Pythagorean theorem.

Let d be the shortest distance from Port A to Port B, and let x be the distance traveled by the ship in the north direction. Then the distance traveled in the west direction is (d^2 - x^2)^(1/2).

We know that the ship travels at a speed of 32 km/h for 3 hours in the north direction, so x = 32 km/h * 3 h = 96 km. We also know that the ship travels at a speed of 30 km/h for 5.5 hours in the west direction, so (d^2 - x^2)^(1/2) = 30 km/h * 5.5 h = 165 km.

Solving for d, we have:

d^2 = x^2 + (d^2 - x^2)

d^2 = x^2 + (d^2 - x^2)

d^2 = x^2 + d^2 - x^2

d^2 = d^2

Therefore, the equation is satisfied for any value of d. However, we know that d is the shortest distance from Port A to Port B, so we take the positive square root:

d = sqrt(x^2 + (d^2 - x^2))

d = sqrt(96^2 + 165^2)

d ≈ 191 km

From the given information provided, the total area of the given figure is 36 square units.

To find the area of this figure, we can divide it into smaller triangles and add up their areas using the formula for the area of a triangle:

Area = 1/2 × base × height

First, we plot the given points on a coordinate plane to get a visual of the figure

Next, we can divide the figure into four triangles, as shown below:

Triangle 1 (T₁) has a base of 6 units (from (-4,-2) to (2,-2)) and a height of 3 units (from (2,-2) to (2,-5)), so its area is:

Area_T₁ = 1/2  6  3 = 9 square units

Triangle 2 (T₂) has a base of 4 units (from (2,2) to (4,-2)) and a height of 4 units (from (2,2) to (-4,-2)), so its area is:

Area_T₂ = 1/2 × 4 × 4 = 8 square units

Triangle 3 (T₃) has a base of 4 units (from (4,-2) to (2,-5)) and a height of 2 units (from (4,-2) to (4,-5)), so its area is:

Area_T₃ = 1/2 × 4 × 2 = 4 square units

Triangle 4 (T₄) has a base of 6 units (from (2,2) to (-2,1)) and a height of 5 units (from (2,2) to (2,-5)), so its area is:

Area_T₄ = 1/2 × 6 × 5 = 15 square units

Now we can add up the areas of the four triangles to get the total area of the figure:

Area_total = Area_T₁ + Area_T₂ + Area_T₃ + Area_T₄

Area_total = 9 + 8 + 4 + 15

Area_total = 36 square units

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The total cost she need is,

⇒ $1150

The process of combining two or more numbers is called the Addition. The 4 main properties of addition are commutative, associative, distributive, and additive identity.

Given that;

The cost of the guitar is,

g(m) = 680 + 10m

where m is time in months.

And, The amplifier cost is represented by the function,

a(m) = 450 - 5m.

Now, In 4 months money to buy both items is,

The cost of the guitar is,

g(m) = 680 + 10m

g (m) = 680 + 10 x 4

        = 680 + 40

        = 720

And, The amplifier cost is,

a(m) = 450 - 5m

a (m) = 450 - 5 x 4

        = 450 - 20

        = 430

Thus, Total cost is,

⇒ 720 + 430

⇒ $1150

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Answer: B

Step-by-step explanation:

18/3=6

3/2=3/2

so answer should be B

The values of a and b are given as follows:

The power of a power rule is used when a single base is elevated to multiple exponents.

Then the simplified expression is obtained keeping the base, while the exponents are multiplied.

The power of power rule is applied in this problem, and we have that a and b are the powers of x and y, respectively, hence their values are given as follows:

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The ordered pairs of y = 3x + 1  are (0,1), (1, 4), (2, 7) (3, 10) and  (-1, -2)

The slope intercept form of a line is y=mx+b, where m is slope and b is the y intercept.

The given equation of line is y = 3x + 1

In the given equation the slope is 3.

We need to find the ordered pairs.

When x=0, y=1 so the ordered pair (0,1)

When x=1,

y=3+1=4

so the ordered pair (1, 4)

When x=2

y=7

The ordered pair (2, 7)

When x=3

y=3(3)+1=10

The ordered pair (3, 10)

When x=-1

y=3(-1)+1=-3+1=-2

The ordered pair (-1, -2)

Hence, the ordered pairs of y = 3x + 1  are (0,1), (1, 4), (2, 7) (3, 10) and  (-1, -2)

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When the area corresponding to the critical value is in the lower tail of the sampling distribution, the p-value is the area under the curve less than or equal to the critical value. Therefore, the correct answer is a. less than or equal to the critical value.

The critical value is the point on the sampling distribution that separates the rejection region from the non-rejection region. If the test statistic falls in the rejection region, we reject the null hypothesis. The p-value is the probability of obtaining a test statistic as extreme or more extreme than the one observed, given that the null hypothesis is true. If the p-value is less than or equal to the critical value, we reject the null hypothesis.

In the case of a lower-tailed test, the critical value is in the lower tail of the sampling distribution, and the p-value is the area under the curve to the left of the test statistic. If the p-value is less than or equal to the critical value, it means that the test statistic falls in the rejection region and we reject the null hypothesis.

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Therefore , the solution of the given problem of fraction comes out to be 6.3/1, or just 6.3.

Any arrangement of equivalent parts or fractions may be used to symbolise a whole. The word "quantity" in standard English is described as "a fraction" of a certain size. 8, 3/4. Fractions are included in wholes. In mathematics, numbers are represented by the ratio of divisor to ratio. These fractions of numbers are all straightforward fractions. A fraction is contained within the fraction, but it is a difficult fraction's residual.

Here,

Assume that the item's initial value was 1. The new price is 9/10 of the initial price after the first markdown, or (9/10) x 1 = 0.9.

The new price is 7/1 of the price that was acquired after the first markdown following the second markdown, or (7/1) x 0.9 = 6.3.

Therefore, the item's total cost is $6.3. We must divide the final price by the initial price to determine the amount of the original value that is still present:

=> final price / original price

=> 6.3 / 1

=> 6.3 for the remaining part.

The amount of the item's worth that is left over is therefore 6.3/1, or just 6.3.

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