QuestionIn 5 years, Gloria's bank account earned $2,400 interest at 5%. How much had she deposited in the account?

Answer:

your answer is going to be B: Obtuse

Answer:

100%

Step-by-step explanation:

Since 56/56 employees at the sports shop work part time, that means 100% of them do, or all of them.

Answer:

13

Step-by-step explanation:

Given

7u - 4 = 3 ( add 4 to both sides )

7u = 7 ( divide both sides by 7 )

u = 1

Then

9u + 4 = 9(1) + 4 = 9 + 4 = 13

Answer:

\(7u - 4 = 3 \\ 7u = 4 + 3 \\ 7u = 7 \\ u = \frac{7}{7} \\ \boxed{u = 1} \\\\f(u) = 9u + 4 \\ f(1) = 9(1) + 4 \\f(1) = 9 + 4 \\ \boxed{f(1) = 13 }\)

The length of the reflected line segment is approximately 11.66 units.

The endpoints of the line segment mentioned in the question are (0,5) and (6,5). After the line segment is reflected across the x-axis, the endpoints of the reflected line segment are (0, -5) and (6, -5).To find the length of the reflected line segment, we will use the distance formula.

Using the distance formula:d = √[(x₂ - x₁)² + (y₂ - y₁)²]d = √[(6 - 0)² + (5 - 5)²]d = √[36 + 0]d = √36d = 6 units. So the length of the original line segment is 6 units.Now, let's find the length of the reflected line segment.Using the distance formula :d = √[(x₂ - x₁)² + (y₂ - y₁)²]d = √[(6 - 0)² + (-5 - 5)²]d = √[36 + 100]d = √136d = 11.66 (approx) units. So the length of the reflected line segment is approximately 11.66 units.

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Statistics can promote limitations in perception in all the following ways, except by Option C. Considering alternative perspectives when defining variable relationships.

Option C encourages a holistic approach to analyzing statistics, rather than promoting limitations in perception. It encourages the analyst to consider different perspectives when interpreting the data, thus allowing a more comprehensive understanding.

This open-minded approach is essential in order to form valid conclusions. When taking into account multiple perspectives, the analyst is able to come to a more informed conclusion, rather than relying on a single-perspective interpretation. Option C does not promote limitations in perception, as it encourages a more open-minded approach to interpreting the data.

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The level of measurement for the variable "The quarter of the game when the winning team first took the lead" is Ordinal.

Ordinal measurement refers to data that can be ordered or ranked, but the differences between values may not be equal or measurable. In the context of the Super Bowl, the variable represents the order in which the winning team took the lead during the game. The categories are first quarter, second quarter, third quarter, or fourth quarter.

These categories have a natural order, as one quarter occurs before another, and they can be ranked based on their chronological sequence within the game. However, the differences between the quarters are not equal, as the length of each quarter may vary, and the time it takes for a team to take the lead can differ as well.

For example, if a team took the lead in the second quarter, we know that it occurred after the first quarter but before the third quarter. However, we cannot assume that the time duration or the point difference between the first and second quarters is the same as between the second and third quarters.

Nominal measurement is not applicable in this case because it is used for categorical variables without an inherent order or ranking. Continuous measurement is also not suitable because it pertains to variables that can take any value within a range, such as temperature or time, and the quarter of the game does not represent a continuous scale.

To summarize, the level of measurement for the variable "The quarter of the game when the winning team first took the lead" in the Super Bowl dataset is Ordinal.

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As David lifts the mass,

This is the term that is used to refer to the energy that a body has due to the fact that the given body is on motion. The kinetic energy is the energy in motion.

This is the energy that a body would have due to the fact that it is positioned on a gravitational potential field.

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There are total 18 markers in the box.

A mathematical expression is made up of terms (constants and variables) separated by mathematical operators. A mathematical equation is used to equate two expressions. Equation modelling is the process of writing a mathematical verbal expression in the form of a mathematical expression for correct analysis, observations and results of the given problem. The formula to calculate the probability of occurrence of an event 'A' can be written as -  

P(A) = n(A)/n(S)

where -

n(A) = Number of outcomes favorable to event A.

n(S) = Total number of outcomes

Given is that there are 3 black markers in a bin. The probability that a marker selected at random is black is -

P(black marker) = 1/6

Assume that there are [x] markers in the box. Then, we can write -

P(black marker) = 3/x

1/6 = 3/x

x = 18

Therefore, there are total 18 markers in the box.

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Find the degree of the equation to determine if linear.

Linear

The magnitude of a number is the absolute value of the the number .Therefore, the magnitude of - 5.8 can be express below

The answer is B.

Answer:

-27, - 51, -75, -99, -123, -147, -171, - 195, -219, 21 value: - 507

Step-by-step explanation:

I used a calucalotor

-27,-24,-21

\(\\ \tt\hookrightarrow a_n=a+(n-1)d\)

\(\\ \tt\hookrightarrow a_{60}=a+59d=-27+59(3)=-27+177=150\)

Answer:

x= 72°

reason: this is because it is a corresponding angle. Corresponding angles are equal to another

Answer:

y = -2x - 3

Step-by-step explanation:

The slopes of two perpendicular lines are negative reciprocals of each other. So slope of s is -2

using m = -2, x = 2, y = -7

y = mx + b

-7 = (-2)(2) + b

-7 = -4 + b

b = -3

y = -2x - 3

The monthly payment amount is $217.42 and the finance charge is $413.02.

The payment amount and finance charge can be found by using the formula below

Payment amount formula: PMT = (P x R x (1 + R)^N) / ((1 + R)^N - 1)

Finance charge formula: Finance charge = Total payment - Loan amount

Where P = Loan amount

R = Interest rate per period

N = Number of periods

Given that a loan is made for $4800 with an APR of 12% and payments made monthly for 24 months

Therefore,P = $4800R = 12% / 12 = 1% per month

N = 24

Using the Payment amount formula above: PMT = (P x R x (1 + R)^N) / ((1 + R)^N - 1)

PMT = ($4800 x 0.01 x (1 + 0.01)^24) / ((1 + 0.01)^24 - 1)

PMT = $217.42

Hence, the monthly payment amount is $217.42 (rounded to two decimal places).

Using the finance charge formula above: Finance charge = Total payment - Loan amount

Total payment = Payment amount x Number of periods

Total payment = $217.42 x 24 = $5213.02

Finance charge = $5213.02 - $4800

Finance charge = $413.02

Hence, the finance charge is $413.02 (rounded to two decimal places).

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roots = {-2, -6}

Factors: (x + 6) and (x + 2)

The angle 1 can be named as follows:

∠RST

∠TSR

∠S

There are various ways to name an angles. You can name an angle by its vertex, by the three points of the angle (the middle point must be the vertex), or by a letter or number written within the opening of the angle.

Therefore, let's name the angle 1 indicated on the diagram as follows:

Hence, the different ways to name the angle 1 is as follows:

∠RST or ∠TSR

Or

∠S

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5- Perimeter of the new rectangle is 48 cm.

6- Area of the new triangle is 9 cm².

5- A rectangle that has a perimeter of 16 cm has been dilated with a scale factor of 3. To find the perimeter of the new shape, we need to multiply the original perimeter by the scale factor:

16 cm * 3 = 48 cm

So the perimeter of the new shape is 48 cm.

6- A triangle that has an area of 36 squared cm has been dilated with a scale factor of 0.5. To find the area of the new triangle, we need to multiply the original area by the square of the scale factor:

36 cm² * (0.5)²

= 36 cm² * 0.25

= 9 cm²

So the area of the new triangle is 9 cm².

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\(\text{Let}~ f(x) = x^3-kx^2 +kx +2.\\\\\text{If}~ x-2~ \text{is a factor of}~ f(x)~ \text{then,}\\ \\f(2) =0\\\\\implies 2^3-k\cdot 2^2 +2k+2 =0\\\\\implies -4k+2k+8+2=0\\\\\implies 10-2k=0\\\\\implies 2k =10\\\\\implies k= \dfrac{10}2 = 5\\\\\\\text{Hence, the value of k is 5.}\)

Answer:

x = 0

Step-by-step explanation:

its quite simple because 10 raised to the power '0' is 1, so 41,630 ×1 is the same.

don't know about the second figure but the comma doesn't change it..

Answer:

the best company is canadian since the shoes are equivalent to 4,540.525$ (US dollars)

while if you multiply the american (19× 250) company they sell it for 4750 dollars

explanation:

5747.50 in canadian dollars for 250 pairs of shoes

make 5747.50 into US dollars by multiplying

5747.50 × 0.79 so thats how it equals 4,540.525 or 4,540$ (us dollars)

sorry if im speeding this up im in school rn

For the given continuous random variable x:

(a) p(x < 4) = -8/27.

(b) p(3 ≤ x < 4) = -5/27

The continuous random variable x that can assume values between x = 2 and x = 5 has a density function given by f(x) = 2(1 x)/27.

(a) To find p(x < 4), we need to integrate the density function from x = 2 to x = 4:

p(x < 4) = ∫24 2(1 x)/27 dx

= (2/27) ∫24 (1 - x) dx

= (2/27) [(x - x2/2)]24

= (2/27) [(4 - 42/2) - (2 - 22/2)]

= (2/27) [(4 - 8) - (2 - 2)]

= (2/27) [(-4) - 0]

= (2/27) (-4)

= -8/27

So, p(x < 4) = -8/27.

(b) To find p(3 ≤ x < 4), we need to integrate the density function from x = 3 to x = 4:

p(3 ≤ x < 4) = ∫34 2(1 x)/27 dx

= (2/27) ∫34 (1 - x) dx

= (2/27) [(x - x2/2)]34

= (2/27) [(4 - 42/2) - (3 - 32/2)]

= (2/27) [(4 - 8) - (3 - 4.5)]

= (2/27) [(-4) - (-1.5)]

= (2/27) (-2.5)

= -5/27

So, p(3 ≤ x < 4) = -5/27.

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Answer:

y = 3/2x -8

Step-by-step explanation:

Subtract 2x from both sides to get: 3y = -2x + 18. Divide all parts of the equation by 3 to get your equation in slope intercept: y = -2/3x + 6. One thing you should know when finding the slope of a perpendicular line is that it is the opposite reciprocal. So, the slope is going to be 3/2. This is your current equation: y = 3/2x + b. Plug in the point to the equation, it should look like this: 1 = 3/2(6) + b. Multiply 3/2 by 6 to get 9. This is what it should look like: 1 = 9 + b. Then, subtract 9 from both sides of the equation to get your y-intercept of -8.

The correct answer is:  "  2.3  *  10⁵  " .

_________

Step-by-step explanation:

Given:   " 23 * 2⁴ * 5⁴ " ;  write in scientific notation.

_________

First:  We shall solve the problem.  

Second: We shall write the solution in "scientific notation".

_________

  " 2⁴ = 2 * 2 * 2 * 2 ;

         = (2 * 2) * 2 * 2 ;

         =   4 * 2 * 2 ;

         = (4 * 2) * 2 ;

         =   8 * 2 ;

         =  16 . "

_________

  " 5⁴ = 5 * 5 * 5 * 5 ;

         = (5 * 5) * 5 * 5 ;

         =   25 * 5 * 5 ;

         = (25 * 5) * 5 ;

         =   125 * 5 ;

         =   625. "

_________

 23 * 2⁴ * 5⁴  ;

         =  23 * 16 * 625 ;

         =  230000 ;

_________

Now, we shall write this answer in scientific notation:

  This is a whole number.  

 So we take the first digit, add a decimal point, and include the all the numbers after that are not "all, trailing zeros":

  and then write:  

  "  * 10^(enter number of digits following that decimal point) " ;

_________

So:  " 230000 " =  2.3 * 10⁵ " .

_________

The correct answer is:  " 2.3 * 10⁵ " .

_________

Hope this is helpful to you!

 Best wishes!

_________

Among the provided functions, the ones that approach positive infinity as x approaches negative infinity are:

- f(x) = 2x^5

- f(x) = 6x^8 + 9x^6 + 32

- f(x) = -x + 8x^4 + 248

To determine which functions approach positive infinity as x approaches negative infinity, we need to analyze the leading terms of the functions. The leading term dominates the behavior of the function as x becomes very large or very small.

Let's examine each function and identify their leading terms:

1. f(x) = 2x^5

The leading term is 2x^5, which has a positive coefficient and the highest power of x.

As x approaches negative infinity, this term becomes very large and positive, indicating that f(x) approaches positive infinity.

2. f(x) = 9x + 100

The leading term is 9x, which has a positive coefficient but a lower power of x compared to the constant term 100.

As x approaches negative infinity, the leading term becomes very large and negative, indicating that f(x) approaches negative infinity, not positive infinity.

3. f(x) = 6x^8 + 9x^6 + 32

The leading term is 6x^8, which has a positive coefficient and the highest power of x.

As x approaches negative infinity, this term becomes very large and positive, indicating that f(x) approaches positive infinity.

4. f(x) = -8x^3 + 11

The leading term is -8x^3, which has a negative coefficient and the highest power of x.

As x approaches negative infinity, this term becomes very large and negative, indicating that f(x) approaches negative infinity, not positive infinity.

5. f(x) = -10x + 5x + 26

Combining like terms, we have f(x) = -5x + 26.

The leading term is -5x, which has a negative coefficient but a lower power of x compared to the constant term 26.

As x approaches negative infinity, the leading term becomes very large and positive, indicating that f(x) approaches negative infinity, not positive infinity.

6. f(x) = -x + 8x^4 + 248

The leading term is 8x^4, which has a positive coefficient and the highest power of x.

As x approaches negative infinity, this term becomes very large and positive, indicating that f(x) approaches positive infinity.

Therefore, the correct choices are:

- f(x) = 2x^5

- f(x) = 6x^8 + 9x^6 + 32

- f(x) = -x + 8x^4 + 248

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The following statements (a, b, and c) are true about matrices:

if A symmetric and orthogonally diagonalizable then A2 is orthogonally diagonalizable. Statements b and cif A and B are both orthogonally diagonalizable and commutative, then AB is also orthogonally diagonalizable. Statement aif A is symmetric, then A2 is also symmetric.

Statement bWhat is an orthogonally diagonalizable matrix?An orthogonally diagonalizable matrix is a square matrix that can be represented as D = PTAP, where P is an orthogonal matrix, and A is a symmetric matrix. The diagonal entries of D correspond to the eigenvalues of A, and the columns of P correspond to the eigenvectors of A.How can we show that if A is symmetric and orthogonally diagonalizable, then A2 is also symmetric and orthogonally diagonalizable?

Since A is symmetric and orthogonally diagonalizable, A = PDPT, where P is an orthogonal matrix, and D is a diagonal matrix containing the eigenvalues of A.So, A2 = (PDPT)2 = PDPT PDPT = PD2PT = (PDT)2

Therefore, A2 is also symmetric and orthogonally diagonalizable.What is commutative matrix?A matrix A is said to be commutative if it satisfies the commutative law of multiplication i.e. AB = BA.

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Answer:

6x-6=60 so if you correctly typed the question its none of them