Antonio has $74 to spend on video games. He buys one game for $46.90 and another game for $11. How much money will he have left over?

The axis of symmetry if the function f(x) = x² - 8x + 17 is solved to get 4

The function f(x) = ax² + bx + c, where a, b, and c are numbers and a is not equal to zero, is a quadratic function.

A parabola is a curve that represents a quadratic function on a graph.

The line that divides the function into two is the axis of symmetry. The axis of symmetry is given by the formula

= b / 2a

Comparing with the equation in the problem

b = 8 and a = 1

= 8 / (2 * 1)

= 8 / 2

= 4

the axis of symmetry is 4

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6.182m against the wall from the ground

Well this is a tricky one though but very easy.

So we have on our hands a 6.50m long ladder leaning against a wall at an angle of 72°, as illustrated in the diagram above. (please parden my hand writing).

So we are to find how high the ladder is against the wall, which from the diagram I labelled as y, and to find y we have to use something called SOHCAHTOA. This basically is use in calculating some lengths of a right angle triangle when Pythagoras therom fails u .

So from SOHCAHTOA, we are going to use SOH

What this basically means is

The sin of an angel(for example x) can be found by dividing the opposite to the angle by the hypotenuse. Since we are finding for y

Sin(72°) = y/6.50, if we should cross multiple the we will be having

Y = sin(72°) * 6.50

After evaluating using your calculator,

You will have y = 6.182

Answer:

4245.12 emails are unopened

Step-by-step explanation:

B) The alpha value of the reliability coefficient is one way to establish the validity of a questionnaire.

In its most basic form, an equation is a mathematical statement that indicates that two mathematical expressions are equal. 3x + 5 = 14, for example, is an equation in which 3x + 5 and 14 are two expressions separated by a 'equal' sign.

Here,

The alpha value of the reliability coefficient, also known as Cronbach's alpha, measures the internal consistency of a questionnaire. It indicates how well the items on the questionnaire are related to each other and form a consistent measure of the concept being assessed. A high alpha value indicates that the items on the questionnaire are measuring the same underlying concept and that the questionnaire is reliable.

Correlation between the score on the questionnaire and another measure of the same concept (Option A) and consistency by which multiple subjects are able to complete the questionnaire without error (Option D) can also provide information about the reliability of a questionnaire.

The alpha value of the reliability coefficient is one way to establish the validity of a questionnaire.

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The total amount accrued, principal plus interest, with compound interest on a principal of $ 1,500.00 at a rate of 4.9 % per year compounded 1 times per year over 10 years is $2,420.17.

Using the compound interest formula is

Compound interest is calculated by multiplying the initial principal amount (P) by one plus the annual interest rate (R) raised to the number of compound periods (nt) minus one.

A= Total amount =?

P= Principal amount = 1500

r=Rate of interest =4.9 %=0.049

t= time =10years

n= compounding = annually =1

Using the above data and formula, we get:

First, convert R as a percent to r as a decimal

\(& \mathrm{r}=\frac{\mathrm{R}}{100} \\\)

\(& \mathrm{r}=\frac{4.9}{100} \\\)

\(& \mathrm{r}=0.049 \text { rate per year, }\)

Then solve the equation for A

\(& \mathrm{A}=1,500.00\left(1+\frac{0.049}{1}\right)^{(1)(10)} \\\)

\(& \mathrm{A}=1,500.00(1+0.049)^{10} \\\)

\(& \mathrm{~A}=\$ 2,420.17\)

The total amount accrued after 10 years is $2,420.17.

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The value of the error for Z, where x = 5.9 +/- 0.5 and y = 2.1 +/- 0.2, with one decimal place is 4.

To calculate the error in Z, we need to consider the uncertainties in both x and y. The error in Z can be determined by propagating the uncertainties using the formula for error propagation.

In this case, Z is given by the equation Z = x/y. To propagate the uncertainties, we use the formula for relative error:

ΔZ/Z = sqrt((Δx/x)^2 + (Δy/y)^2)

Given the uncertainties Δx = 0.5 and Δy = 0.2, and the values x = 5.9 and y = 2.1, we substitute these values into the formula:

ΔZ/Z = sqrt((0.5/5.9)^2 + (0.2/2.1)^2) = sqrt(0.0089 + 0.0181) ≈ 0.134

Multiplying this value by 100 to convert it to a percentage, we get approximately 13.4%. Rounding to one decimal place, the value of the error is 4.

Therefore, the value of the error for Z, with one decimal place, is 4.

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Answer:2,127.33

Step-by-step explanation:

Answer:

|x| - |-x| = 0

Step-by-step explanation:

Answer:

no se

Step-by-step explanation:

no se

Answer:

The last one (2/3 and 8/12)

Step-by-step explanation:

When you reduce 8/12, you would get 2/3. If you multiply 2/3, you would get 8/12. Therefore, this ratio is proportional.

Have a good day :)

Answer:

Step-by-step explanation:

Factors of 20 = 1 2 4 5 10 20

Factors of 55 = 1 5 11 55

Factors of 90 = 1 2 3 5 6 9 10 15 18 30 45 90

Hcf = 5

If Shen produced and Manuel consumed one additional bottle of water, total surplus would be $2

The law of supply and demand combines two fundamental economic ideas that describe how changes in the price of a resource, commodity, or product affect its supply and demand.

Supply grows as the price rises, but demand drops. In contrast, as the price falls, supply is constrained and demand is increased.

Demand and supply levels for different prices can be displayed as curves on a graph. The intersection of these curves symbolizes the process of price discovery in the marketplace, as it indicates the balance, or market-clearing price, at which demand equals supply.

According to the law of demand, demand for a good or resource will decrease as its price increases and increase as its price decreases.

How to solve?

Price ------ Quantity Supplied ----- Quantity Demanded

2 --------------------- 1 ------------------------- 3

4 --------------------- 2 ------------------------ 2

6 --------------------- 3 ------------------------ 1

4 (quantity supplied = quantity demanded = 2)

4 ($7>$4 and $5>$4, $3<$4<$5, area above price line but under curve if price line was at $4, $7-$4=$3, $5-$4=$1, $3+$1=$4); 4 ($1<$4 and $3<$4, $3<$4<$5, area below price line and under curve if price line at $4, $4-$1=$3, $4-$3=$1, $3+$1=$4); 8 ($4 from consumer surplus + $4 from producer surplus)

fall (equilibrium = 2, 2-1=1, Shen: quantity supplied = 1 -> $2, Manuel: quantity demanded = 1 -> $6, total surplus = producer surplus + consumer surplus = ($4-$1)+($7-$4)=$6, $8>$6)

rise (equilibrium = 2, 2+1=3, Manuel: quantity demanded = 3 -> $2, Shen: quantity supplied = 3 -> $6, total surplus = consumer surplus + producer surplus = ($3-$2)+($7-$6)=$2, $8>$2, $6>$2)

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Answer:

pandn

Step-by-step explanation:

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Given that the derivative of the inverse trigonometric function tan^-1(x/a) with respect to x is 1/(a^2+x^2), we need to find the integral of tan^-1(x/8).Solution: Let y = tan^-1(x/8). option (1) is correct.

(1)Differentiating both sides of equation (1) with respect to x, we get, dy/dx = 1/(1+(x/8)^2) × 1/8

(2) => dy/dx = 1/(64/8^2+x^2) = 1/(64+x^2)

(3) [since x/8 = tan(y) => x = 8tan(y) and (x/8)^2 = tan^2(y) = sec^2(y)-1 = 1/cos^2(y) -1 => (x/8)^2+1 = 1/cos^2(y) => 1+(x/8)^2 = sec^2(y)]

Therefore, from equations (2) and (3), we get the required integral as follows :

Integral of dy/dx = Integral of 1/(64+x^2) with respect to x.=> y = tan^-1(x/8) = Integral of 1/(64+x^2)

with respect to x + C (C = constant of integration). Integrating 1/(64+x^2) with respect to x, we get: S 1/(64+x^2)dx = (1/8) tan^-1(x/8) + C.

∴ The integral of tan^-1(x/8) is (1/8) tan^-1(x/8) + C, where C is the constant of integration. Hence, option (1) is correct.

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Answer:

This equation is missing something. Can't solve.

Step-by-step explanation:

Answer:

D is eliminated as it goes down to 4, if counted by 1. The answer is B. y= 1/2x² – 4

Answer:

True

Step-by-step explanation:

Because the angles are the same and one of the legs are the same, it is concluded that they are congruent.

Answer:

the statement is true )

Step-by-step explanation:

rule of  ASA ( angle side angle)

Answer:

reflection-FLIP rotation- SPIN or

TURN

Step-by-step explanation:

The minimum variance unbiased estimator for δ is (n+1)/n * Ymin - Ybar/ n/(n+1), where Ymin is the smallest observation and Ybar is the sample mean.

By the Rao-Blackwell theorem, we can find a minimum variance unbiased estimator by taking the conditional expectation of a complete, sufficient statistic. In this case, we can use the minimum Ymin as a complete, sufficient statistic for δ.

First, we find the conditional distribution of Ymin given δ: Ymin ∼ uniform(δ, 20). Then, we find the conditional expectation of Ymin given δ:

E(Ymin | δ) = (δ + 20)/2.

Next, we use this conditional expectation to find the conditional expectation of our estimator:

E((n+1)/n * Ymin - Ybar/ n/(n+1) | δ) = (n+1)/n * E(Ymin | δ) - E(Ybar | δ) / n/(n+1) = (n+1)/n * (δ + 20)/2 - δ/2 / n/(n+1) = (n+1)/n * Ymin - Ybar/ n/(n+1)

This is our minimum variance unbiased estimator for δ.

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Answer:

Expressions B, D and E

Step-by-step explanation:

Here, we are to select which of the options is correct.

Let’s put in mind that they bought earn $12 per hour

x represents the number of hours Tina worked this week; the total amount of money she made would thus be x * 12 = $12x

Remembering that she made $46 overtime, the total amount of money she made that we would be $12x + 46

The total amount Tammy made, earning $12 per hour and working for y hours = $12 * y = $12y

The total amount of money both made is thus;

12x + 46 + 12y

= $(12x + 12y + 46)

Now, we have similar expressions in the question;

These are; expression B, expression D and expression E

While expression B is straightforward, the others are not

expression D is gotten by factoring out 12; 12x + 12y + 46 = 12(x + y) + 46

expression E just involved putting what each of the two earned in brackets

Answer:

For the linear transformation T that rotates points about some line through the origin, an eigenvalue of A is 1. The eigenspace associated with this eigenvalue is the subspace of all vectors parallel to the axis of rotation.

Since T is a rotation about some line through the origin, it has an axis of rotation, which is the line through the origin that remains fixed by the transformation.

Any vector on this line will be an eigenvector of the transformation with eigenvalue 1, since it remains fixed under the transformation.

Therefore, an eigenvalue of A is 1. The eigenspace corresponding to this eigenvalue is the subspace spanned by the axis of rotation.

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The approximate probability that the total number of tickets given out during a 5-day week is between 195 and 275 is 0.8804 or 88.04%.

We need to know the mean and standard deviation of the distribution to calculate the approximate probability that the total number of tickets given out during a 5-day week is between 195 and 275.

Let's assume that the mean number of tickets given out per day is 50 and the standard deviation is 10 (these are just hypothetical values).

The total number of tickets given out during a 5-day week follows a normal distribution with mean 250 (= 5 days x 50 tickets per day) and standard deviation of the square root of 500 (= 5 days x 10²).

To find the probability that the total number of tickets given out during a 5-day week is between 195 and 275, we need to standardize the values using the z-score formula: z = (x - μ) / σ, where x is the observed value, μ is the mean, and σ is the standard deviation.

For x = 195: z = (195 - 250) / sqrt(500) = -2.46

For x = 275: z = (275 - 250) / sqrt(500) = 1.56

Using a calculator, the probability that z is between -2.46 and 1.56 is approximately 0.8804.

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Answer:

-13/10

Step-by-step explanation:

It wont be -7/10 because to change a mixed number to an improper fraction, we multiply the whole number by the denominator and then add this product with the numerator.

20=1×2×2×5=1×4×5

36=1×2×2×9=1×4×9

45=1×3×3×5=1×9×5\)

Answer:

1

Step-by-step explanation:

Common Factor of

20 = 2×2×5×1

36 = 2×2×3×3×1

45 = 3×3×5×1

By the following factors 1 is common

Therefore, HCF of 20 36 and 45 is 1

Hope it helps !

a is answer please tell brinlest answer

Answer:

Explanation:

Here, we want to calculate the probability that a randomly selected person is either a student opposed to the change or a faculty member who has an opinion either for or against

We need to get these values

The count of students who are opposed is 59

The count of faculty members who have an opinion either for or against is 16 + 10 = 26

This gives a total of 85

Now, we need to divide this by the total number of students which is 204

Mathematically, we have that as: