Orlando buys a shirt for $15 and a pair of jeans for $32.50 . If the sales tax is 8% , what is the total prize Orlando pays for the items.

Step-by-step explanation:

photos explain. in the second photo, A didnt start at 0 so it looked not accurate

Answer:

402.12 cm²

Step-by-step explanation:

45 degrees is 1/8 of a circle

πr² = whole circle

1/8*(3.1415926....)(32)² = 402.12 cm²

The mean arterial pressure formula is MAP = CO x TPR or MAP = (SBP + 2DBP) / 3.

The mean arterial pressure (MAP) formula is:

MAP = CO x TPR

where:

CO is the cardiac output (how much blood is siphoned by the heart each moment)

TPR is the all-out peripheral resistance (the resistance from the bloodstream in the body's veins)

On the other hand, the mean arterial pressure can also be calculated using the following equation:

MAP = (SBP + 2DBP)/3

where:

SBP is the systolic blood pressure (the highest pressure in the arteries when the heart beats)

DBP is the diastolic blood pressure(the lowest pressure in the arteries when the heart is at rest between beats)

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The value of x that makes the given image to be a rectangle is: x = 2.5

The length of the diagonals of a rectangle are equal and congruent to each other. It is also pertinent to note that the diagonals of a rectangle bisect each other at the center. Thus:

From the given parameters, we see that half of the diagonals have been labelled and as such we have:

8x - 3 = 4x + 7

Rearrange to have like terms on same side and so we have:

8x - 4x = 7 + 3

4x = 10

x = 10/4

x = 2.5

Thus, the value of x from the calculation above of the rectangle is 2.5

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Answer:

Part A:

x = 80 degrees

Part B:

A => Corresponding Angles (They correspond to each other)

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Don't hesitate asking anything regarding this!

Answer:

$6.50

Step-by-step explanation:

21.25-14.75=6.5

Answer:

x <2

Step-by-step explanation:

3(x+1)<9

Divide by 3

3/3(x+1)<9/3

x+1 < 3

Subtract 1 from each side

x+1-1 < 3-1

x <2

Answer:

x < 2

Step-by-step explanation:

Distribute the 3 to (x + 1):

3(x + 1)

3x + 3

→3x + 3 < 9

Subtract 3 from both sides:

→3x < 6

Divide both sides by 3:

→x < 2

C) 6

Solution: 6.

Because the segments in the triangle are parallel, we can set up a proportion to solve for MN.

\(\frac{4}{10}=\frac{x}{15}\)

The particles contain 5.199 mol. The result is obtained by dividing the number of particles by the Avogadro number.

Avogadro number is the number of particles contained in 1 mol of any substance. It is 6.022 × 10²³ particles/mol.

The number of particles of a substance can be expressed as

N = n × NA

Where

The number of particles of a substance is 3.131 × 10²⁴ particles. Find the number of moles!

With the Avogadro number, the number of moles would be

N = n × NA

3.131 × 10²⁴ = n × 6.022 × 10²³

n = (3.131 × 10²⁴) / (6.022 × 10²³)

n = 0.5199 × 10¹

n = 5.199 mol

Hence, there are 5.199 mol contained in the particles.

The answer is A.

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Therefore , it verifies the statement that over 29 year period her heart rate will decrease by 8% percentage .

In essence, percentages are fractions with a denominator of 100. The percent symbol (%) is placed next to a number to indicate that it is a percentage. For instance, if you correctly answered 75 out of 100 expression questions on a test (75/100), you would have received a 75%.

Here,

given :  20 year old : 193 beat per minute.

forty year old : 178 beat per minute.

Thus ,

193 * 8 /100 = 15.44

=> 15(approx)

Thus , if we subtract the 8 % of bpm from 193

=> 193 - 15= 178

Therefore , it verifies the statement that over 29 year period her heart rate will decrease by 8% .

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Answer:

x=2

Step-by-step explanation:

x^3=8

x=2  (take the cubed root of both sides)

This can be solved by adding 8 to both sides, then taking the cubed root of both sides

The volume of the described solid is V = 16r³/3

A solid line S should be drawn between z = a and z = b. If S has a cross-sectional area of Px through x and is perpendicular to the x-axis, then  A(x).

Volume of S = limₙ→∞ ∑i=₁ⁿ A(xi) Δx = \(\int\limits^a_b {A(x)} \, dx\)

The equation of circle x² + y² = r² where r is the radius of the circle.

Equation of upper semicircle yu= √(r²-x²)  and

Equation of lower semicircle yl = -√(r²-x²)

Area of cross-section A(x) = (yu² - yl²)

Substitute yu and yl values

A(x) = [√(r²-x²) - (-√(r²-x²) )]² = 4(r² -x²)        (1)

The limit for volume v varies from -r to r

Thus Volume v = \(\int\limits^{r}_{-r} {A(x)} \, dx\)

Substitute A(x) from (1)

V = \(\int\limits^{r}_{-r} {4(r^{2}-x^2 )} \, dx\)

V = 4[r²x - x³/3 ]

V = 4(r³ - r³/3) - 4(-r³ + r³/3) = 4[2 (r³ - r³/3)] = 16r³/3

The volume of the described solid S where the base is a circular disk or radius r and parallel cross sections perpendicular to the base are squares is V = 16r³/3

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The value of [m] will be 2.

Given is the median of the ordered set of observations 2, 3, (4m-3), (3m + 1), 11 and 13 in ascending order is 6.

We have the following data as -

2, 3, (4m-3), (3m + 1), 11, 13

N = 6

So median will be -

{(4m - 3) + (3m + 1)}/2 = 6

(4m - 3) + (3m + 1) = 12

4m + 3m - 3 + 1 = 12

7m - 2 = 12

m = 2

Therefore, the value of [m] will be 2.

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Answer:

The answer would be D. 7

Answer is in the image

Step-by-step explanation:

Sorry if wrong or blurry

According to the information, we can infer that A. 1: Real, Rational, Integer, Whole, Natural, B. 5.1: Real, Rational, C. √(-142): Non-real, D. \(\pi\) (Pi): Irrational, Real, E. 2/3: Rational, Real, F. ∛(-27): Non-real, G. 0.671: Real, Rational, H. 3√7: Irrational, Real, I. 0: Real, Rational, Integer, Whole, Natural, J. -√16: Real, Rational.

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Answer:

y = 4x - 18

Step-by-step explanation:

Write out y = mx + b.

The slope of the line in question is 4.  Thus we have y = 4x + b.

Finally, substitute -6 for y, 3 for x and solve for b:

-6 = 4(3) + b, or -6 = 12 + b.  Then b = -18, and the equation of this line is

y = 4x - 18

Answer:

18

Step-by-step explanation:

y=4x-18 is the solution and 18 is the y-intercept because the b (18) is the y-intercept.

The statement is not valid and the donation per learner cannot be determined from the given table.

Table 1: Income in rands of fundraising,

Number of learners that paid Income (R)

1,200

We need to calculate the missing value A, we need to add up all the given incomes and subtract it from the total income for 45 learners, which is 45 x A. Then we can solve for A:

Total income = 200 + 150 + 10(2,000) + 20(45) + A + 4,000 + 9,000

Total income = 45A

45A = 25,150

A = 558.89

Therefore, the missing value A is R558.89.

The dependent variable in the table is the income received from fundraising.

We need to find the ratio of income received from 10 learners to income received from 45 learners, we need to divide the income received from 10 learners by the income received from 45 learners and simplify the fraction:

Income from 10 learners = R1,100 (since each learner donates R110)

Income from 45 learners = R215

Ratio = Income from 10 learners : Income from,

45 learners = 1,100:215 = 20:3 (in its simplest form)

The total number of learners enrolled at the school is 1,100. If 80% of the learners paid, then the number of learners who paid is:

80% of 1,100 = 0.8 x 1,100 = 880 learners

The minimum income that the school can raise if 80% of the learners paid is when each of the 880 learners paid the minimum donation, which is R150:

Minimum income = 880 x 150 = R132,000

Since R132,000 is less than R170,000, the SGB chairperson's statement is not valid.

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Complete question: Schools have different ways of fund raising. The parents and the SGB of Progress High School agree that each learner should donate an amount to the school. The money is payable during the first month of the year. 1.1 Use TABLE 1 to answer the questions that follow. Write down the donation per leamer. 1.2 TABLE 1: INCOME IN RANDS OF FUND RAISING Number of learners that paid Income (R) 1 200 1.3 1.5 Calculate the missing value A. 10 2 000 20 45 215 4 000 9 000 A [Adapted from original school financial books ] Use TABLE 1 and write down the dependent variable. 1.4 Write the income received from 10 leaners to the income received from 45 learners, in a ratio in its simplest form. (3) (2) (2) (2) have The SGB chairperson claims that if 80% of the leaners paid, the school would raise more than R170 000. There are 1 100 learners enrolled at the school. Verify, by showing ALL calculations, whether his statement is valid.

Answer:

place the decimal number over its place value

Step-by-step explanation:

For example in 0.4 the four is in the tenths place, so we place 4 over 10 like 4/10

Answer:

Step-by-step explanation:

Example:

   4.52

\(4.52 =\dfrac{4.52}{1}\)

In 4.52, there are two decimal places. So multiply the numerator and denominator by 100

\(\dfrac{4.52*100}{1*100}=\dfrac{452}{100}=\dfrac{452 \div 4}{100 \div 4}=\dfrac{113}{25}\)

(a) The number of loads that can be expected to occur during a 2-year period can be found using the mean time between loads and the length of the time period. The mean number of loads that occur in a time period of length t can be found using the formula: mean number of loads = λt, where λ is the mean number of loads per unit time.

In this case, λ = 1/0.4 loads/year, so the mean number of loads that occur in a 2-year period is:

mean number of loads = λ * 2 years = 1/0.4 * 2 = 5

So, we can expect 5 loads to occur during a 2-year period.

(b) The probability that more than eight loads occur during a 2-year period can be found using the Poisson distribution. The Poisson distribution gives the probability of a specific number of events occurring in a given time period, given the average rate of events per unit time. In this case, the Poisson distribution can be used to find the probability that more than 8 loads occur in a 2-year period:

P(more than 8 loads) = 1 - P(8 or fewer loads) = 1 - (P(0) + P(1) + ... + P(8))

Where P(k) is the Poisson probability of exactly k loads occurring in a 2-year period. The Poisson probability of exactly k loads occurring can be found using the formula:

P(k) = (λt)^k * e^-λt / k!

So, substituting the values of λ = 1/0.4 and t = 2 into this formula, we can find the probability that more than 8 loads occur:

P(more than 8 loads) = 1 - (P(0) + P(1) + ... + P(8)) = 1 - (0.135 + 0.270 + 0.405 + 0.541 + 0.678 + 0.814 + 0.947 + 1.078 + 1.206) = 1 - 6.590 = -5.59

Since the probability of an event cannot be negative, this result is not meaningful. The probability that more than 8 loads occur during a 2-year period is greater than 1, which is not possible. This indicates that the assumption that the loads follow a Poisson process may not be valid.

(c) To find the time period for which the probability of no loads occurring is at most 0.2, we can solve for t in the equation:

P(0) = (λt)^0 * e^-λt / 0! = e^-λt = 0.2

Taking the natural logarithm of both sides:

-λt = ln(0.2)

And dividing both sides by -λ:

t = -ln(0.2) / λ = 3.5695 / (1/0.4) = 14.2780 years

So, the time period must be at least 14.2780 years in order for the probability of no loads occurring to be at most 0.2.

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Among the provided answer options, the closest value to -0.555 is -0.55, which is option c. Therefore, option c (-0.55) is the value of c that satisfies P(Z ? c) = 0.71.

The notation P(Z ? c) represents the probability that a standard normal random variable Z is less than or equal to c. To find the value of c that corresponds to P(Z ? c) = 0.71, we need to determine the Z-score associated with this probability.

Using a standard normal distribution table or a calculator, we can find that a Z-score of approximately 0.555 corresponds to a cumulative probability of 0.71. However, since we are looking for the value of c in P(Z ? c), we need to consider the opposite inequality.

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Answer:

there is no solutions

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

Given the 2 equations

5x + 2y = 29 → (1)

x + 4y = 13 → (2)

Multiplying (1) by - 2 and adding to (2) will eliminate the y- term

- 10x - 4y = - 58 → (3)

Add (2) and (3) term by term to eliminate y

- 9x + 0 = - 45

- 9x = - 45 ( divide both sides by - 9 )

x = 5

Substitute x = 5 into either of the 2 equations and solve for y

Substituting into (2)

5 + 4y = 13 ( subtract 5 from both sides )

4y = 8 ( divide both sides by 4 )

y = 2

Solution is x = 5, y = 2 → C

Answer:

c) x = 5, y = 2

Step-by-step explanation:

Answer:

i don't get this type of math yet

Step-by-step explanation:

In the first question, the statement "Using logarithmic differentiation we obtain that the derivative of the function y = x² satisfies the equation y = 4x log x + 2x" is true.

In the first question, using logarithmic differentiation on the function y = x², we differentiate both sides, apply the product rule and logarithmic differentiation, and simplify to obtain the equation y = 4x log x + 2x, which is correct.

In the second question, the statement is false. When using logarithmic differentiation on the function y = (1+x²)²(1 + sin x)²/(1-x²), the derivative is calculated correctly, but the equation given is incorrect. The correct equation after logarithmic differentiation should be y' = (4x/(1 + x²)(1 + sin x))(1-x²) - (2x(1+x²)²(1 + sin x)²)/(1-x²)².

In the third question, the product z²w is calculated correctly as 30-10%.

It is important to accurately apply logarithmic differentiation and perform the necessary calculations to determine the derivatives and products correctly.

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Answer:

x = 2.7

Step-by-step explanation:

5.4 = 2x

2x = 5.4

Divide both sides by 2.

x = 2.7

Answer: x= 2.7

1. Divide 2 on both sides

2. cancel terms who have the same numerator and denominator

Answer:

(4,4)

Step-by-step explanation:

The solution set of the system of equations can be found by setting the two equations equal to each other and solving for x.

x^2 - 6x + 12 = 2x - 4

x^2 - 8x + 16 = 0

(x - 4)^2 = 0

x = 4

Since both equations in the system are equal to y, we can substitute x = 4 into either equation to find the corresponding value of y.

y = 2x - 4 = 2(4) - 4 = 4

Therefore, the solution of this system of equations is (4, 4).

Therefore, the correct answer is (4, 4).