The original price of a jacket is $70. The sale price is 30% off the original price. What is the amount off the original price (discount)? How much will you pay for the jacket with the discount?

Answer:

please add the image ........

Answer:

figure please ...........

The rule of transmission is given by.

Points are

New co-ordinates will be

This series is an arithmetic series, as the difference between consecutive terms is a constant, the series goes to infinity, meaning it has an infinite number of terms. Since the arithmetic series has an infinite number of terms, it is divergent. Therefore, the answer is DIVERGES.

To determine whether the series ∑n=1∞(4n+1)/(5−n) is convergent or divergent, we can use the ratio test:

lim┬(n→∞)⁡|((4(n+1)+1)/(5-(n+1)))/((4n+1)/(5-n))|

= lim┬(n→∞)⁡|(4n+5)(5-n)/(4n+1)(6-n)|

= 4/6 = 2/3

Since the limit is less than 1, the series is convergent by the ratio test.

To find the sum of the series, we can use the formula for the sum of a convergent geometric series:

S = a/(1-r)

where a is the first term and r is the common ratio. In this case, we have:

a = (4(1)+1)/(5-1) = 5/4

r = (4(2)+1)/(5-2) / (4(1)+1)/(5-1) = 13/6

Therefore, the sum of the series is:

S = (5/4) / (1-(13/6)) = 15/23
The given series is:

∑(4n + 15 - n) from n=1 to infinity.

First, simplify the series:

∑(3n + 15) from n=1 to infinity.

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The weighing of the balance scale required to find a lighter counterfeit coin among four coins, is twice.

In just two balance scale weighs, it is feasible to identify which of four coins is the lighter fake coin. Here is one approach:

Then, weigh the two groups against one another after splitting the four coins into two groups of two coins each. The lighter counterfeit currency must belong to the group that is lighter than the other if there are two groups. If the two groups of coins weigh the same, then one of the two remaining coins must be the lighter counterfeit coin.

Weigh the two coins from the lighter group (or the two still present, if the first step was unsuccessful) against one another.

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Answer:

-3

Step-by-step explanation:

     Let x = the number

Then 3x = its triple, and the condition is:

x - 8 < 3x

Subtract x from each side

-8 < 2x

Divide each side by 2

-4 < x

Reverse the inequality

x > -4

The smallest integer greater than -4 is -3.

Check:

-3 - 8 < 3(-3)

-11 < -9

It checks.

Answer:

x=7/6

Step-by-step explanation:

subtract the 4x from both sides of the equation

(2x+6)-4x=4x-3-4x

find common denominator

(2x+6)/5+(5(-4)x)/5=4x-3-4x

then combine fractions

(2x+6+5(-4)x)/5=4x-3-4x

then multiply the 5&4

(2x+6-20x)/5= 4x3-4x

combine terms

(-18x+6)/5= -3

then multiply everything by 5

-18x+6= -15

subtract the 6 from both sides

-18x= -21

divide -21 by -18

(-21)/(-18)=x

find greatest common multiple (3) and solve

x = 7/6

Answer:

He would have to use the method of polling

Step-by-step explanation:

Polliong would be the method used to solve hope this help

Answer:

Adam and buford

Step-by-step explanation:

Answer:

adam and buford

Step-by-step explanation:

The cost of the apples is 2.9 dollars.

The cost of the bananas is 5.7 dollars.

The total cost is 6 dollars, each apple cost $1.50 each banana cost $.30 and there’s two more bananas then apples.

Therefore,

let

x = number of apples

y = 2x

where

Therefore, using equations,

1.5(x) + y(0.30) = 6

Hence,

where

y = 2x

1.5(x) + 2x(0.30) = 6

1.5x + 0.6x = 6

2.1x = 6

divide both sides by 2.1

x = 6 / 2.1

x = 2.9 dollars

y = 2(2.9) = 5.7 dollars

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D. The energy used is the same for both segments, the power while running is greater.

Walking and running both require energy, but the distance covered and the time taken are different. In this case, the person covers the same distance of 1 km in both segments.

Therefore, the energy used is the same for both. However, since running involves covering the same distance in less time, the power while running is greater. Power is the rate at which energy is used, and since running takes less time, the power output is higher.

D. The energy used is the same for both segments, the power while running is greater.

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There are 48 ways to choose two different cards from a standard 52-card deck such that (a) The first card is an Ace and the second card is not a Queen.

Explanation: We are given that a standard deck of 52 cards. (a) The first card is an Ace and (b) the second card is not a Queen. In a standard deck of 52 cards, there are four aces. If the first card drawn is an ace, then there are 51 cards left in the deck and 12 cards that are queens. Hence, there are 51 − 12 = 39 cards that are not queens. So, we can say that, There are 4 aces × 39 cards that are not queens = 156 ways to choose two different cards from a standard 52-card deck such that the first card is an Ace and the second card is not a Queen.

However, we have to remove the case where both cards are aces and the second card is a queen. So, we subtract 1 from the previous answer to get, 156 − 1 = 155 ways to choose two different cards from a standard 52-card deck such that (a) The first card is an Ace and the second card is not a Queen.

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If the absolute value of the computed t-score is greater than the critical value, then the correlation is statistically significant at α = 0.05, two tails.

To determine which correlations are statistically significant with α = 0.05, two tails, we need to compare the computed Pearson correlation coefficient (r) to the critical value from the t-distribution.

In a sample of n = 18 pairs of x and y values, the significance of the correlation is assessed using hypothesis testing. The null hypothesis states that there is no correlation between the variables (ρ = 0), while the alternative hypothesis suggests a significant correlation (ρ ≠ 0).

To test the hypothesis, we calculate the sample correlation coefficient (r) and then convert it to a t-score using the formula

t = (r × \(\sqrt(n-2)\)) / \(\sqrt(1 - r^2)\)

The degrees of freedom for the t-distribution are df = n - 2.

Next, we compare the absolute value of the computed t-score to the critical value of the t-distribution with α/2 = 0.025 significance level.

If the absolute value of the t-score exceeds the critical value, we reject the null hypothesis and conclude that the correlation is statistically significant.

The critical value for α = 0.05, two tails, depends on the degrees of freedom (df = 16 in this case) and can be obtained from a t-table or statistical software. If the absolute value of the computed t-score is greater than the critical value, we can say that the correlation is statistically significant at α = 0.05, two tails.

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Answer:

-48,500

Step-by-step explanation:

1500 - 200 × (200 + 50) =

= 1500 - 200 × 250

= 1500 - 50,000

= -48,500

Answer:

Step-by-step explanation:

1500-200 x (200+ 50) =                                (remember PEMDAS)

1500 - 200 x 250 =

1500 - 50000 =

-48500

​

Answer:

C, B, A

Step-by-step explanation:

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==========================================

Work Shown:

f(x) = x^3 - x^2 + x - 1

f ' (x) = 3x^2 - 2x + 1

f ' (2) = 3(2)^2 - 2(2) + 1

f ' (2) = 9

In step 2, I used the power rule \(\frac{d}{dx}x^n = nx^{n-1}\)

Answer: On a coordinate plane, a cube root function goes through (negative 8, negative 2), has an inflection point at (0, 0), and goes thorugh (8, 2).

Step-by-step explanat hope that help

The function is

\(\\ \sf\longmapsto f(x)=\sqrt[3]{x}\)

Graph attached

Answer:

A. 120 degrees.

Step-by-step explanation:

The two angles are alternate angles, which means they are congruent. So, x is also 120 degrees.

Hope this helps!

Answer:

6

Step-by-step explanation:

Answer:

The answer would be 6

Step-by-step explanation:

In order to determine if a function is linear or exponential, you can observe the relationship between the function's input and output values.

For a linear function, the output values increase or decrease at a constant rate as the input values change. In other words, the function has a constant slope when graphed. You can check linearity by calculating the differences between consecutive output values and verifying if they remain the same. If the differences are constant, the function is linear.

On the other hand, an exponential function shows a constant ratio between the output values and the input values. This means that as the input values increase or decrease by a constant factor, the output values also increase or decrease by the same factor. You can check for exponential behavior by calculating the ratio between consecutive output values. If the ratios are constant, the function is exponential.

It is important to graph the function and analyze its behavior over a range of input values to confirm whether it is linear or exponential.

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Answer:

14 is the score

Step-by-step explanation:

Add 1 4 and 9

5,

O, Y, M, I and A would look the same in a reflection as they are symmetrical

Answer:

it is option 1

Step-by-step explanation:

mark my answer as brainliest

Answer:

3

Step-by-step explanation:

To find the relative maximum of a function the double derivative should be less than zero at the stationary point. For that we need to find the stationary value/values of the function so here goes,

\(f(x)=-x^3+6x^2-9x-1\\f'(x)=-3x^2+12x-9\\\\For\ stationary\ point\ f'(x)\ equals\ zero\\\\0=-3x^2+12x-9\\3x^2-12x+9=0\\x^2-4x+3=0\\\\x^2-3x-x+3=0\\x(x-3)-1(x-3)=0\\(x-3)(x-1)=0\\x=3\ ,\ x=1\)

Now since we have two values of x at which the function is stationary we need to test them both for that we need to take the double derivative so here goes,

\(f'(x)=-3x^2+12x-9\\f''(x)=-6x+12\\now\ put\ x = 1\\f''(1)=-6(1)+12\\f''(1)=-6+12=6\\since\ f''(1)>0\)

The point x = 1 is a relative minimum

But we need the relative maximum so lets try out x = 3

\(f''(x)=-6x+12\\f''(3)=-6(3)+12\\f''(3)=-18+12=-6\)

\(since\ f''(3)<0\)

The point x = 3 is the relative maximum because for relative maximum the double derivative should be negative or less than 0 in this case its true so the last option is your answer

Answer:

Step-by-step explanation:

The first term of the given sequence is a(1) = 64.  Each succeeding term is found by multiplying the present one by (-3/4), and so (-3/4) is the common ratio.  Then the geometric sequence represented here is

a(n) = a(1)*(-3/4)^(n - 1), or, specifically,

a(n) = 64*(-3/4)^(n - 1)

Alternatively:  a(n) = a(n - 1)*(-3/4). or a(n) = (-3/4)a(n - 1)

The sequence can be described by the formula f(x + 1) = 3/4f(x). According to this formula, each phrase in the sequence is 3/4 times the one before it. Therefore, the correct option is A.

A list of numbers or objects that follow a certain pattern or rule is referred to in mathematics as a sequence. Unless otherwise stated, a sequence consists of an infinite number of terms, which are the individual items that make up the sequence.

Many mathematical disciplines, such as calculus, number theory, and statistics, make use of sequences. Mathematical, geometric and Fibonacci sequences are some examples of sequences. The sequence can be described by the formula f(x + 1) = 3/4f(x). According to this formula, each phrase in the sequence is 3/4 times the one before it.

Therefore, the correct option is A.

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Answer:

y+8=16(x-8)

Step-by-step explanation:

y-y1=m(x-x1) is the formula

Just substitute from the first pair then you should get the answer.

Answer:

1) A linear function can be used to represent a line graphed on a chart if there is a straight-line relationship between the x and y variables. It is represented by the equation y = mx + b, where m is the slope and b is the y-intercept.

2) A polynomial function can be used to represent a line graphed on a chart if the relationship between the x and y variables is more complex and not linear. It is represented by the equation y = ax^n + bx^(n-1) +...+ z, where a, b, ... , z are constant coefficients.

3) An exponential function can be used to represent a line graphed on a chart if the relationship between the x and y variables is exponential. It is represented by the equation y = ab^x, where a and b are positive constants.

According to the question ,The probability that among 8 randomly selected graduates, at least one does not find a job in their chosen field within a year of graduating is 0.570

We are Given in the question that:

P = 0.1

q = 1-p

= 0.9

n = 8

Using binomial distribution P(n) = ⁿCₓ.pˣ.qⁿ⁻ˣ

We are Required to prove that  F(x ≥ 1) = P(1) + ... + P(8)

= 8C₁(.1)¹(.9)²+...+8C₈(.1)⁸(.9)°

= 0.5695 ≈ 0.570

Hence the probability is 0.570

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