A gaming company is having a 45% off sale on merchandise on their website. What will be the discounted price on $85 worth of merchandise?

Answer:

Completing the square is always confusing, but if you keep in mind it's just a way to write  (A + B )^2  so that the problem is in some easier form it makes a bit better sense.  A perfect square has some helpful properties.. anyway..

Step-by-step explanation:

Given: \(x^{2}\) - 12x +23 = 0   ( not a perfect square , tough to work with )

take 1/2 of the second term  coefficient  12/2 = 6   and square it

\(x^{2}\) - 12x + (\(-6)^{2}\) +23 = \((-6)^{2}\)

\(x^{2}\) -12x + \(6^{2}\) +23 = \(6^{2}\)

now there is a perfect square :)

(x - 6)^2 =36-23

(x - 6)^2 = 13

take the square root of both side now

x -6 = \(\sqrt{13}\)

x = \(\sqrt{13}\) +6

sooo  what is supposed to happen in these problems  is that square root of 13 is supposed to work out to something that is easy to find the root of ... maybe in your answers you left out the square roots?   so maybe A is right  :/

We want to solve a quadratic equation by completing squares.

What we need to use is the general relation:

\((a + b)^2 = a^2 + 2ab + b^2\)

We will see that the solutions are:

\(x = 6 \pm \sqrt{13}\)

We start with the equation:

\(x^2 - 12x + 23 = 0\\\)

We can rewrite the middle term as:

\(x^2 - 2*6*x + 23 = 0\\\)

Now remember that 6*6  = 36

Then we can add 13 and subtract 13 to get:

\(x^2 - 2*6*x + 23 + 13 - 13 = 0\\x^2 - 2*6*x + 36 - 13 = 0\\x^2 - 2*6*x + (-6)^2 - 13 = 0\\(x - 6)^2 - 13 = 0\)

Then the solutions are:

\((x - 6) = \pm \sqrt{13} \\\\x = 6 \pm \sqrt{13}\)

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Answer:

105 were correct

Step-by-step explanation:

120 divided by 8 = 15.    15 questions were wrong.

15 times 7 = 105.

Answer:

a = -3

Step-by-step explanation:

Step 1:  Since we're told that 5 to the power of a = 1/125, we can use the following equation to solve for a:

5^a = 1/125

Step 2:  Take the log of both sides

log(5^a) = log(1/125)

Step 3:  According to the power rule of logs, we can bring a down and multiply it by log(5):

a * log(5) = log (1/125)

Step 4:  Divide both sides by log(5) to solve for a:

(a * log(5) = log(1/125)) / log(5)

a = -3

Optional 5:  We can check our answer by plugging in -3 for a and seeing if we get 1/125 when completing the operation:

5^-3 = 1/125

1/(5^3) = 1/125 (rule of exponents states that a negative exponent creates a fraction with 1 as the numerator and the base (5) and exponent (-3 becoming 3) as the denominator

1/125 = 1/125

Answer:

79 cm

Step-by-step explanation:

area = length x width

7505 = 95 x width

7505/95 = width

Answer:WAIT HE IS TELLING THE TIME

Step-by-step explanation:

If you failed to pay the minimum payment by the due date and are now being charged the penalty APR of 28.99%, your monthly interest charge on a balance of $1800 would be approximately $518.82. This is calculated as follows:

However, it is important to note that this calculation is an estimate and the actual amount of interest you would owe in one month could be different, depending on factors such as the number of days in the billing period and the daily interest rate. It is also worth noting that you were charged $6.31 in interest for purchases, which is separate from the interest charged on your unpaid balance.

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The explicit functions are:

Arithmetic sequence with common difference d=3: f(n) = 3n +1

Geometric sequence with common ratio r=2: f(n) = 2^n + 2

Quadratic sequence with leading coefficient a=1, constant term c=2, and linear term b=1: f(n) = n^2 + n + 2

There are infinitely many possible sequences that satisfy the condition f(1)=4, so the function to model the value of the nth term in the sequence will depend on the specific pattern or rule that the sequence follows.

Here are some examples of possible sequences and the corresponding explicit functions:

Arithmetic sequence with common difference d=3: f(n) = 4 + 3(n-1) = 3n + 1

Geometric sequence with common ratio r=2: f(n) = 4 x 2^(n-1) = 2^n+2

Quadratic sequence with leading coefficient a=1, constant term c=2, and linear term b=1: f(n) = n^2 + n + 2

Fibonacci sequence with initial values f(1)=f(2)=1: f(n) = ((1+sqrt(5))/2)^n/sqrt(5) - ((1-sqrt(5))/2)^n/sqrt(5)

Note that these are just examples, and there are many other possible functions that could model a sequence with f(1)=4

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Answer:

\(3 \times \frac{1}{3 } + \frac{1}{2} \times - 12( \frac{1}{3} ) = \frac{1}{3} \)

The equation of a line y=2x+8.

The equation of a straight line can be represented in the slope-intercept form, y = mx + c

Where c = intercept

Slope, m =change in the value of y on the vertical axis/change in the value of x on the horizontal axis

Looking at the given line,

y = 2x + 7

Compared with the slope-intercept equation,

Slope, m = 2

If a line is parallel to another line, it means that both lines have equal or the same slope. This means that the slope of the line passing through the point (-2, 4) is 2

Substituting m= 2, y = 4 and x = -2 into the equation, y = mx + c , it becomes

4 = 2 × - 2 + c

4 = - 4 + c

c = 4 + 4 = 8

The equation becomes y=2x+8.

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Answer:

x-6>2x

Step-by-step explanation:

Is this what you were looking for?

Answer: she is 215m from her starting point

Step-by-step explanation:

The diagram representing the situation is shown in the attached photo. Triangle ABC is formed with AC representing her distance from her starting point.

Angle B = 28 + 90 = 118°

To determine AC, we would apply the law of Cosines which is expressed as

a² = b² + c² - 2abCosA

Where a,b and c are the length of each side of the triangle and B is the angle corresponding to b(AC). Likening the expression to the given triangle, it becomes

AC² = AB² + BC² - 2(AB × BC)CosAC

AC² = 60² + 180² - 2(60 × 180)Cos118

AC² = 3600 + 32400 - 21600Cos118

AC² = 36000 - 21600(-0.46947156)

AC² = 36000 + 10140.59

AC² = 46140.59

AC = √46140.59

AC = 215 m

Answer:

A las 15:00 horas la temperatura será de -15ºC, habiendo subido 12ºC desde el corte de luz.

Step-by-step explanation:

Dado que en un frigorífico la temperatura es de -27 °C, y después de un corte de luz a las 12:00 horas, la temperatura empieza a subir 2 °C cada media hora, para determinar cuál es la temperatura a las 15:00 horas, y cuánto ha variado la temperatura desde el corte de luz, se deben realizar los siguientes cálculos:

((15 - 12) x 2) x 2) - 27 = X

(3 x 2 x 2) - 27 = X

(6 x 2) - 27 = X

12 - 27 = X

-15 = X

Por lo tanto, a las 15:00 horas la temperatura será de -15ºC, habiendo subido 12ºC desde el corte de luz.

Answer:

3.21

Step-by-step explanation:

.........................

The weight of the salad at the cost of $7.28 will be 31.9 ounces.

The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.

Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.

Given that at Sascha's Salad Bar, customers make their own salads and pay by ounce. Jenny paid $6.16 for a 22-ounce salad. Seth spent $7.28 on a salad.

$6.16 ⇒ 22 ounces

$1 ⇒ 22 / $6.16

$7.28 ⇒ ( 22 x 7.28 ) / $6.16

$7.18 ⇒ 31.9 ounces

Therefore, the weight of the salad at the cost of $7.28 will be 31.9 ounces.

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The equation for C in terms of t is C = 18 – 3t.

Algebra is the area of mathematics that aids in expressing issues or circumstances into mathematical expressions.

Given that Connor was given a box of assorted chocolates for his birthday

The box originally contained 18 chocolates.

There were still 9 chocolates in the box after three nights.

Now we have to find the equation for C in terms of t

18 – 9 = 9

After 3 nights

9 / 3 = 3

18 = chocolates at the beginning.

C = 18 – 3t

Therefore the equation for C in terms of t is C = 18 – 3t.

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The graph △ABC and its image is  A′(2, 4), B′(-2, -2), C′(4, −2).

What is the coordinate rule?

Rules for the coordinate plane: (x, y) Where h and k are the horizontal and vertical shifts, respectively, we have (x ± h, y ± k).

Here, we have

The coordinate rule for dilation with k = 2 to find the coordinates of the vertices of the image.

(x, y) → (2x, 2y)

A(2, 1) → A′(2, 4)

B(4, 1) → B′(-2, -2)

C(4, −1) → C′(4, −2)

Each side length of △A′B′C′ is longer than its corresponding side by the scale factor. The corresponding sides are parallel because their slopes are the same.

Hence, after a dilation centered at the given point using the given scale factor the image is A′(2, 4), B′(-2, -2), C′(4, −2).

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Answer:

3n+6 May i pls have the crown

Step-by-step explanation:

If you use the PEMDAS rule

3 * n= 3n

and 3*2= 6

To estimate the true average yield point of a modified mild steel-reinforcing bar, a 90% confidence interval was calculated using the sample mean and standard deviation. To increase the confidence level to 92%, the critical value was changed, resulting in a wider interval.

(a) A 90% confidence interval for the true average yield point of the modified mild steel-reinforcing bar is calculated as (8180.8, 8671.2) lbs.

(b) To obtain a 92% confidence interval, we need to increase the level of confidence by including a larger portion of the area under the normal distribution curve. The new critical value for a two-tailed test would be ±1.75 (from a standard normal distribution table), compared to ±1.645 for a 90% confidence level. Using the same formula as in part (a) with the new critical value, we get a 92% confidence interval of (8156.4, 8695.6) lbs.

In summary, to estimate the true average yield point of a modified mild steel-reinforcing bar, a 90% confidence interval was calculated using the sample mean and standard deviation. To increase the confidence level to 92%, the critical value was changed, resulting in a wider interval.

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Answer:

3:5

hope this helped :)

The y-intercept of the graph of a function is the point at which the graph intersects the y-axis. In other words, it's the value of the function when x=0.

So to find the y-intercept of f(x) = 57(3.2)x, we can substitute x=0 into the function:

f(0) = 57(3.2)(0)

f(0) = 0

So the y-intercept of this function is (0,0).

The given equation is

To solve for x, the logarithm to indices relationship will be applied

That is

Hence

This is simplified to get

Therefore, the value of x = 4

Answer:

2

Step-by-step explanation:

Answer: $440

Step-by-step explanation:

Given selling price = $ 372

Loss % = 7%

We know, cost price = selling price × 100/100 - loss%

Therefore, cost price = 372 × 100/100 - 7

= 372 × 100/93

= $400

Now cost price = $400

Gain% = 10%

Therefore, selling price = (100 + gain%)cost price/100

= (100 + 10)400/100

= 110 × 4

= $440

Answer:

The answer is 325

Step-by-step explanation:

The open array model to find 1,950 ÷ 6 is  1950 = (1800 + 120 + 30) ÷ 6, the answer is 325.

It is defined as the operation in which we do the addition of numbers, subtraction, multiplication, and division. It has basic four operators that are +, -, ×, and ÷.

It is given that:

The number expression:

= 1,950 ÷ 6

To make the open array model:

The number 18 has a multiple of 6 and 1800 has also a multiple of 6

= 1950 - 1800

= 150

120 has a multiple of 6:

= 150 - 120

= 30

And 30/6 = 5

1950 = (1800 + 120 + 30) ÷ 6

Thus, the open array model to find 1,950 ÷ 6 is  1950 = (1800 + 120 + 30) ÷ 6, the answer is 325.

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Answer:

ok, here is your answer

Step-by-step explanation:

The answer is (d) 258.000 g and 2.58×10^-2g.Both numbers have the same number of significant figures, which is six.The first number, 258.000 g, has three significant figures after the decimal point, and three before the decimal point. The zeros after the decimal point are significant because they are part of a measured quantity.The second number, 2.58×10^-2g, is written in scientific notation. It also has six significant figures because the number 2.58 has three significant figures, and the exponent -2 has two significant figures.-

Answer:

A=70 sq in.

Step-by-step explanation:

Answer:

4.1x + 29

Step-by-step explanation:

So the perimeter would be the sum of all of the sides, so:

\(2.3x + 14 + 2x - 0.2x + 15\\= 4.1x + 29\)

Answer: 4.5x+ 29 which is 3, so 3 is correct.

Step-by-step explanation:

P = a+b+c

First do the ordered pairs ( add the numbers with the x to the end, then add the other numbers with no x's)

Note that assuming that the instrument used was exogenous, one can conclude about the endogeneity of an explanatory variable if the OLS and 2SLS estimates are significantly different: "The explanatory variable is endogenous and therefore 2SLS should be considered." (Option C)

Two-stage least squares (2SLS) regression analysis is a statistical approach used in structural equation analysis. The OLS approach has been extended using this methodology. It is employed when the error terms of the dependent variable are associated with the independent variables.

The ordinary least squares (OLS) approach is a linear regression methodology used to estimate a model's unknown parameters. The strategy is based on reducing the sum of squared residuals between the expected and actual values.

2SLS is utilized as an alternate strategy when we encounter endogeneity Problems in OLS. Endogeneity arises when the explanatory variable correlates with the error word. Then we utilize 2SLS, which employs an instrumental variable. The outcome will be different because if there is endogeneity in the model, OLS will produce biased results.

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Full Question:
What can we conclude about the endogeneity of an explanatory variable if the OLS and 2SLS estimates are significantly different? Assume that the instrument used was exogenous. Select one:

a. The explanatory variable is not endogenous and therefore using 2SLS is ill-advised.

b. The explanatory variable is not endogenous and therefore OLS should not be used.

c. The explanatory variable is endogenous and therefore using 2SLS should be considered.

d. The explanatory variable is endogenous and therefore OLS should be used.

\(\dfrac{33}{22}\times100 =150\)

Ans: 150%, a percent of incease