Checking accounts can be accessed using checks, ATM machines, and wire transfers.
True or false

\(x^2 -8x-2=0\\\\x^2 -8x=2\\\\x^2 -8x+16=18\\\\(x-4)^2 =18\\\\x-4=\pm \sqrt{18}\\\\\boxed{x=4 \pm \sqrt{18}}\)

Answer:

1/3 foot longer

Step-by-step explanation:

2/3-1/3=1/3

Answer: 21:9 and 42:18

Step-by-step explanation:

14:6 at its most basic form is 7:3, so find anything that could be equal to this if a number is multiplied on both sides.

21:9 is our simplified ratio multiplied by 3 on both sides.

42:18 is our simplified ratio multiplied by 6 on both sides.

But, the final ratio doesn't work, because 7 and 3 respectively cannot multiply to 13 and 8 with the same value.

f(x) is a parent function and g(x)=-x²-4

A relation is a function if it has only One y-value for each x-value.

From the given graph f(x)=x²

We need to find the function g(x) which we get by transforming the function f(x).

f(x) is a parent function.

As we observe g(x) is passing through (0, -4)

and g(x) is open down four units.

So g(x)=-x²-4

Hence, f(x) is a parent function and g(x)=-x²-4

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The complete question is given in the attachment.

A common denominator is a shared multiple of the denominators of the fractions involved when adding or subtracting fractions. It enables fraction comparison and addition/subtraction.

Simplification is the process of reducing a fraction to its simplest form by dividing the numerator and denominator by their greatest common divisor. This is done to represent fractions in the simplest terms viable.

Conversion: The process of transferring a fraction from one form to another while retaining its equal value is known as conversion. Finding a common denominator or expressing a fraction in terms of a specified unit or fraction may be required.

Fraction Addition/Subtraction: When adding or subtracting fractions, a common denominator is required. This entails determining a common multiple of

To rewrite the expression 3 + 1/5 + 2/3 using fifteenths as the common denominator, we need to find a common denominator for 5 and 3, which is 15 (since 5 and 3 are both factors of 15).

First, let's convert the fractions 1/5 and 2/3 to fifteenths:

\((\frac{1}{5})(\frac{3}{3}) = \frac{3}{15}\)

\((\frac{2}{3})(\frac{5}{5}) = \frac{10}{15}\)

Now we can rewrite the expression using the common denominator:

\(3 + \frac{3}{15}+\frac{10}{15}\)

Answer:

10,20,30=20

5,10,1520=20

Step-by-step explanation:

Answer:

it will take at least 9 years for Lucy's investment to grow to more than $5,000. Since we can't have a fraction of a year, the answer is 10 years (rounded up from 9.09).

Step-by-step explanation:

We can solve this problem by using the formula for compound interest:

A = P(1 + r/n)^(nt)

where:

A = the amount of money in the account after t years

P = the initial investment (principal), which is $4,000 in this case

r = the interest rate per year, which is 3% expressed as a decimal (0.03)

n = the number of times the interest is compounded per year (we'll assume it's compounded annually, so n = 1)

t = the number of years

We want to find the number of years t it will take for the account balance to exceed $5,000. So we can set up the following inequality:

A > 5000

Substituting the values we have into the compound interest formula and simplifying, we get:

4000(1 + 0.03/1)^(1t) > 5000

Simplifying further, we get:

1.03^t > 1.25

To solve for t, we can take the logarithm of both sides of the inequality:

log(1.03^t) > log(1.25)

t*log(1.03) > log(1.25)

t > log(1.25) / log(1.03)

Using a calculator, we find that:

t > 9.09

The parent function is \(y = ab^x\)

A function for the translation indicated is \(y = ab^{x+6} - 7\).

In Mathematics and Geometry, the vertical translation a geometric figure or graph downward simply means adding a digit to the value on the y-coordinate of the pre-image or function.

In Mathematics and Geometry, a horizontal translation to the right is modeled by this mathematical equation g(x) = f(x - N) while a vertical translation to the negative y-direction (downward) is modeled by this mathematical equation g(x) = f(x) - N.

Where:

In this scenario, we can logically deduce that the graph of the parent function  was translated or shifted to the left (horizontally) by 6 units and downward (vertically) by 7 units;

\(y = ab^x\)

\(y = ab^{x+6} - 7\)

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The area of the triangle is 52.32 square units

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

The triangle (see attachment)

The base of the triangle is calculated as

base = 12 * tan(36)

The area of the triangle is then calculated as

Area = 1/2 * base * height

Where

height = 12

So, we have

Area = 1/2 * base * height

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

Area = 1/2 * 12 * tan(36) * 12

Evaluate

Area = 52.32

Hence, the area of the triangle is 52.32 square units

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Answer:

1 kilometre is 0.621 mile

Answer:

1 Kilometer = 0.621 mile

Step-by-step explanation:

The distance d in miles (mi) is equal to the distance d in kilometers (km) divided by 1.609344

Choice G, an isosceles trapezoid, is the term that describes the quadrilateral \(KLMN\) the most precisely.

A polygon with 4 corners, four angles, or four vertices is called a quadrilateral. The Roman words quadri, which means quadruple, and latus, which means side, were combined to create the English term quadrilateral.

It is not necessary to have a rhombus if a quadrilateral has two sets of parallel sides; you might also have a parallelogram or a rhombus provided all four quadrants have the same length. A parallelogram is a quadrilateral with opposing sides that are parallel. ABCD is shown as a parallelogram in the figure. AB || CD & AD | BC in this case.

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The definition of limits and the squeeze theorem indicates that any positive value of δ corresponds with both ε = 0.6 and ε = 0.3, in the ε-δ definition

The squeeze theorem, also known as the sandwich or the pinching theorem, allows the finding of the limit of a function by squeezing the function between two other functions with known and equivalent limits.

The ε-δ definition of a limit states that there exists a δ > 0 for every ε > 0, such that where 0 < |x - c| < δ, then |f(x) - L| < ε, where;

c = The value which is approached by x

L = The limit of the function f(x) as x approaches c

The details indicates; \(\lim\limits_{x\to0}\frac{e^{2\cdot x}-1}{x} = 2\), therefore, c = 0, and L = 2

The values of δ that corresponds to ε = 0.6 and ε = 0.3 are required

Therefore, when 0 < |x - 0| < δ, then |\(\frac{e^{2\cdot x} - 1}{x}\)| - 2 < 0.6

|\(\frac{e^{2\cdot x} - 1}{x}\)| - 2 < 0.6

-0.6 < \(\frac{e^{2\cdot x} - 1}{x}\) - 2 < 0.6

1.4 < \(\frac{e^{2\cdot x} - 1}{x}\) < 2.6

The squeeze theorem can be used to find the value of δ as follows;

\(e^{2\cdot x\) > 1 for all x > 0, therefore;

\(\frac{e^{2\cdot x} - 1}{x}\) > (1 - 1)/x = 0

The upper bound for δ, is therefore;

\(\frac{e^{2\cdot x} - 1}{x}\) - 2 > -2

|\(\frac{e^{2\cdot x} - 1}{x}\) - 2| > |-2|

Whereby the required value is; |\(\frac{e^{2\cdot x} - 1}{x}\) - 2| < ε = 0.6, a value of δ can be chosen such that |-2| < ε = 0.6, which indicates that any positive value for δ will be adequate in the present case.

The value of δ  that corresponds to ε = 0.3 can found as follows;

|\(\frac{e^{2\cdot x} - 1}{x}\) - 2| < 0.3

-0.3 < \(\frac{e^{2\cdot x} - 1}{x}\) - 2 < 0.3

1.7 < \(\frac{e^{2\cdot x} - 1}{x}\) < 2.3

The squeeze theorem indicates;

\(\frac{e^{2\cdot x} - 1}{x}\) > (1 - 1)/x = 0

\(\frac{e^{2\cdot x} - 1}{x}\) > (1 - 1)/x - 2 = -2

|\(\frac{e^{2\cdot x} - 1}{x}\) > (1 - 1)/x - 2| = |-2|

The required inequality is; |\(\frac{e^{2\cdot x} - 1}{x}\) > (1 - 1)/x - 2| < ε = 0.3, therefore any value of the variable δ, such that |-2| < ε = 0.3 will be acceptable

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Answer: Correct answer is C

The constant differences between the consecutive terms are 2 (a); 2 (b), -3 (c), 7 (d), 1(e), and 6(f).

In math, the constant difference can be defined as the number that defines the pattern of a sequence of numbers. This means that number that should be added or subtracted to continue with the sequence.

Due to this, to determine the constant difference it is important to observe the pattern and find out the number that should be added. For example, if the sequence is 2, 4, 6, 8, there is a difference of 2 between each of the numbers and this is the constant difference.

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Answer:

HLO Mate here is ur answer

Answer:

- Banking Operations salary in India with less than 1 year of experience to 10 years ranges from ₹ 1.4 Lakhs to ₹ 7 Lakhs with an average annual salary of ₹ 3.1 Lakhs based on 261 latest salaries

Answer:

center

Step-by-step explanation:

Answer:

fortnite

Step-by-step explanation:

need points

Linear function that relates y to x.

y = x

coordinates of y = x

\(| \ \ x \ | -2 \ | \ -1 | \ \ 0 \ | \ \ 1 \ | \ \ 2 \ | \ \ 3 \ \ \ | \\ --------------\\ | \ \ y \ \ | -2 \ | \ -1 | \ \ 0 \ | \ \ 1 \ | \ \ 2 \ | \ \ 3 \ \ |\)

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A linear function is a straight line following equation: y = mx + b

                                                              where m is slope, b is y-intercept

⚘ Refer to the attachment for graph and below for some details!~

It is a linear function. Since, the line is straight when it's plotted and the linear function is (y=x)

Some X and Y coordinates are:

\(\begin{gathered}\boxed{\begin{array}{c|c}\boxed{\sf x} &\boxed{\sf y} \\ \sf -2 &\sf -2 \\ \sf -1 &\sf -1\\ \sf 0 &\sf 0 \\ \sf 1 &\sf 1\\ \sf 2 &\sf 2 \end{array}}\end{gathered}\)

Answer:

24 for $13.99

Step-by-step explanation:

Find the cost of 1 for both deals.

6 for $6.99. Divide 6.99 with 6:

6.99/6 = 1.165

~$1.17 for one.

24 for $13.99. Divide 13.99 with 24:

13.99/24 = ~0.582

~$0.58 for one.

24 for $13.99 is the better deal, by ~59¢.

The quadratic functions are: f(x) = 0.03x² for Design A and g(x) = 0.024x² for Design B.

A quadratic function is a type of polynomial function of the form f(x) = ax² + bx + c, where a, b, and c are constants and x is the variable. In a quadratic function, the highest power of the variable is 2.

The graph of a quadratic function is a parabola, which is a U-shaped curve that opens either upwards or downwards depending on the sign of the coefficient a. If a > 0, the parabola opens upwards, and if a < 0, the parabola opens downwards. The vertex of the parabola, which is the point where the curve changes direction, is given by the coordinates (-b/2a, f(-b/2a)).

Quadratic functions have a wide range of applications in various fields such as physics, engineering, economics, and finance. For example, they can be used to model the motion of projectiles, the trajectory of a rocket, the shape of a bridge arch, the optimization of business profits, and the behavior of financial markets.

Let's assume that each side of the cube has a length of x inches. Then, the surface area of the cube is 6x² square inches.

a. For Design A with a cost of $0.005 per square inch, the total cardboard cost can be calculated using the quadratic function:

f(x) = 0.005(6x²) = 0.03x²

b. For Design B with a cost of $0.004 per square inch, the total cardboard cost can be calculated using the quadratic function:

g(x) = 0.004(6x²) = 0.024x²

Therefore, the quadratic functions are:

f(x) = 0.03x² for Design A

g(x) = 0.024x² for Design B

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The complete question is:

Answer:

Four times the difference of a number and 5 means equates to: 4(x-5), with x being the unknown number. You also know that this equation is equal to the number, x, increased by 4. So you now know that 4(x+5) is equal to (x+4

\(~~~~~~ \textit{Compound Interest Earned Amount} \\\\ A=P\left(1+\frac{r}{n}\right)^{nt} \quad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{original amount deposited}\dotfill &\$45700\\ r=rate\to 12\%\to \frac{12}{100}\dotfill &0.12\\ n= \begin{array}{llll} \textit{times it compounds per year}\\ \textit{quarterly, thus four} \end{array}\dotfill &4\\ t=years\dotfill &2 \end{cases}\)

\(A = 45700\left(1+\frac{0.12}{4}\right)^{4\cdot 2}\implies A=45700(1.03)^8 \implies A \approx 57891.39 \\\\[-0.35em] ~\dotfill\\\\ \stackrel{\textit{earned interest}}{57891.39~~ - ~~45700} ~~ \approx ~~ \text{\LARGE 12191.39}\)

Answer:

In your full life time, your heart may beat about 2 billion thru 3billion times.

Every day your heart beats about 9,500 thru 100,000 times

Every minute your heart beats 75 times.

Step-by-step explanation:

im pretty sure this answers your question.

I solved this problem because I learned about it in health class.

Answer:

The correct answer is B, also may be Brain??

Step-by-step explanation:

The perimeter of a rectangle can be calculated using the formula P = 2l + 2w, where l is the length and w is the width. If the length of the rectangle is 25 cm and we want the perimeter to be greater than 90 cm, we can set up an inequality to solve for the width: 2l + 2w > 90.

Substituting the value for the length gives 2 * 25 + 2w > 90, which simplifies to 50 + 2w > 90. Subtracting 50 from both sides gives 2w > 40, and dividing by 2 gives w > 20.

So the width of the rectangle must be greater than 20 cm to make the perimeter greater than 90 cm. The correct answer is B: width > 20 cm.

Answer:

i'm guessing this but not 100% sure

Step-by-step explanation:

Let w = the width

P = 2l + 2w

2w + 2(25) > 90

2w + 50 > 90

2w > 40

w > 20 cm

Answer:

answer is 3 3/20

(A) There's a 90% chance the population value is between 7.2 and 8.9 oz.

You should know that In frequentist statistics, a confidence interval (CI) is a range of estimates for an unknown parameter. A confidence interval is computed at a designated confidence level; the 95% confidence level is most common, but other levels, such as 90% or 99%, are sometimes used

The confidence interval is the probability that the population value would fall within a range of values for a number of times. The confidence interval are calculated by adding and subtracting the margin of error to/from the mean.

A 90% confidence interval of (7.2, 8.9) means that their is a 90% confidence or chance that the population value is between 7.2 and 8.9 oz

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The expression that describes the sequence is 3 + n.

Let's use an expression to describe the sequence as follows:

4, 5, 6, 7....

The sequence follows an arithmetic patterns. Therefore, let's use an arithmetic progression formula to express the sequence.

Hence,

a + (n - 1)d = nth term

where

Therefore,

a = 4

d = 5 - 4 = 1

Hence,

nth term = 4 + (n - 1)1

nth term = 4 + (n - 1)

nth term = 4 + n- 1

nth term = 3 + n

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Given:

Segment AD is perpendicular to segment BC.

D is the midpoint of segment BC.

To prove:

\(\Delta BDA\cong \Delta CDA\)

Solution:

The two column proof is shown below:

Statements                                                      Reasons

1. \(\overline{AD}\perp \overline{BC}\), D is the midpoint of \(\overline{BC}\)         1. Given

2. \(\overline{BD}\cong \overline{CD}\)                                                 2. Definition of midpoint

3. \(m\angle ADB=90^\circ \text{ and }m\angle ADC=90^\circ\)         3. Definition of perpendicular lines

4. \(m\angle ADB=m\angle ADC\)                                4. Substitution

5. \(m\angle ADB\cong m\angle ADC\)                                5. Definition of congruence

6. \(\overline{AD}\cong \overline{AD}\)                                                 6. Reflexive property

7. \(\Delta BDA\cong \Delta CDA\)                                      7. SAS congruence postulate

Hence proved.