Which of the following equations shows a slope of 5 for the line the equation represents

Answer:

ok give me a min

Step-by-step explanation:

Answer:

79

Step-by-step explanation:

Provided d = 26
d+53=26+53=79

Hey there!

d + 53

= 26 + 53

= 79

Therefore, your answer is: 79

Good luck on your assignment & enjoy your day!

~Amphitrite1040:)

Given statement solution is :- It takes 4 months to pay off the card, and the total amount paid, including interest, is $1600.

To determine the number of months it takes to pay off the credit card and the total amount paid, including interest, we can follow these steps:

Step 1: Calculate the monthly interest rate.

The APR (Annual Percentage Rate) is given as 9.5%. To find the monthly interest rate, we divide this by 12 (the number of months in a year):

Monthly interest rate = 9.5% / 12 = 0.0079167

Step 2: Determine the monthly payment.

The monthly payment is given as $400.

Step 3: Calculate the interest and principal paid each month.

The interest paid each month can be calculated by multiplying the monthly interest rate by the current balance.

Principal paid = Monthly payment - Interest paid

Step 4: Track the remaining balance each month.

Starting with the initial balance of $1,367.90, subtract the principal paid each month to determine the new balance.

Step 5: Repeat Steps 3 and 4 until the balance reaches zero.

Continue calculating the interest and principal paid each month, updating the balance, until the remaining balance becomes zero.

Step 6: Determine the total number of months and the total amount paid.

Count the number of months it takes to reach a balance of zero. Multiply the number of months by the monthly payment ($400) to find the total amount paid.

Let's calculate the number of months and the total amount paid, including interest:

Month 1:

Interest paid = 0.0079167 * $1,367.90 = $10.84

Principal paid = $400 - $10.84 = $389.16

New balance = $1,367.90 - $389.16 = $978.74

Month 2:

Interest paid = 0.0079167 * $978.74 = $7.75

Principal paid = $400 - $7.75 = $392.25

New balance = $978.74 - $392.25 = $586.49

Month 3:

Interest paid = 0.0079167 * $586.49 = $4.64

Principal paid = $400 - $4.64 = $395.36

New balance = $586.49 - $395.36 = $191.13

Month 4:

Interest paid = 0.0079167 * $191.13 = $1.51

Principal paid = $400 - $1.51 = $398.49

New balance = $191.13 - $398.49 = -$207.36 (Paid off)

It takes 4 months to pay off the credit card. Now, let's calculate the total amount paid, including interest:

Total amount paid = 4 * $400 = $1600

Therefore, it takes 4 months to pay off the card, and the total amount paid, including interest, is $1600.

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Define Decimal place?

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Answer:

-13

Step-by-step explanation:

subtract 7 from -6

Answer: -13

Step-by-step explanation: When you have two numbers with negative signs, you add them but you keep the negative sign.

Therefore, -6-7 = -13

For the future, know these rules for signs when adding, subtracting, dividing and multiplying:

When adding two negative numbers, you add but keep the negative sign like in the above problem.

When adding a positive and negative, you subtract but keep the sign of the highest number. Example: -4+9 = 5 or -11+3 = -8.

When multiplying two negatives or positives numbers, the answer will be positive. When multiplying negatives x positive = negative.

The same applies to division. (-)/(+) = (-) or (+)/(-) = (-)

                                                 (-)/(-) = (+)

Hope this explanation and rules help.

The axiom of regularity is a set theory principle which states that every non-empty set C contains an element that is disjoint from C.

The set theory concept rules that for every non-empty set C there is an element x of C such that x does not intersect C. The regularity axiom aims to establish that no non-empty set will have itself as an element.

The principle which is also called the axiom of foundation is a fundamental concept in set theory and credited to Zermelo–Fraenkel.

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Answer:

B

Step-by-step explanation:

trust

Answer:c) 4/5

Step-by-step explanation:

y= mx+c, here, m is the slope.

In this case, m= 4/5, c= -3

The probability that Jessica picks a yellow pencil is 80%.

What exactly is probability?

Probability is a measure of an event's possibility or chance of occurring. It is stated as a number ranging from 0 to 1, or as a percentage ranging from 0% to 100%, where 0 indicates an impossible occurrence and 1 (or 100%) represents a certain event.

Now,

The probability of picking a yellow pencil =  the number of yellow pencils / total number of pencils:

Probability of picking a yellow pencil = Number of yellow pencils / Total number of pencils

In this case, there are 8 yellow pencils out of a total of 10 pencils:

Probability of picking a yellow pencil = 8 / 10

Simplifying the fraction by dividing both the numerator and denominator by 2, we get:

Probability of picking a yellow pencil = 4 / 5

Probability of picking a yellow pencil = 4 / 5 x 100%

Probability of picking a yellow pencil = 80%

Therefore, the probability that Jessica picks a yellow pencil is 80%.

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Answer:The function is linear because we are dealing with a straight line.

Step-by-step explanation:

Answer:

Your answer is in web link

Step-by-step explanation:

https://shsmrward.weebly.com/uploads/1/0/0/3/10037735/independentdependent_ak.pdf

The exact value of sin(5π/12) is (√6 + √2)/4

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

sin 5pi/12

Express properly

So, we have

sin(5π/12)

Convert the angle to degrees

This gives

sin(5π/12) = sin(5/12 * 180)

Evaluate

sin(5π/12) = sin(75)

The actual value of sin(75) is (√6 + √2)/4

This means that

sin(5π/12) = (√6 + √2)/4

Hence, the exact value of sin(5π/12) is (√6 + √2)/4

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The exact value of sin 5π/12 is (√6 + √2)/4

The trigonometric functions are real functions which relate an angle of a right-angled triangle to ratios of two side lengths.

Angle in trigonometry can be measured in either degree or radian.

π is a measurement in radian which is equivalent to 180° in degrees.

Therefore:

5π/12 = 5 × 180/12

= 75°

Therefore sin5π/12 = sin75°

sin75 = sin( 45+30) = sin45cos30+ cos 45sin30

= 1/√2 × √3/2 + 1/√2 × 1/2

= √3/2√2 + 1/2√2

= (√3+1)/2√2

rationalizing;

(2√6 + 2√2)/8

dividing through by 2

=(√6 + √2)/4

therefore tan75 =(√6 + √2)/4

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Jane received $30025 and Lydia received $60000. Let's assume the amount of money that Jane received as x; then Lydia's share of the money will be twice the share of Jane.

We are to find out the share of each person. Here is the solution in steps:Suppose Jane's share was x dollars, and Lydia's share was y dollars.

Given that the total amount given to the two daughters was $90000. Also, given that Lydia paid off her $75, hence she got $75 less than Jane.

Therefore,  y = 2x - 75; this is because we are given that Lydia got twice the share of Jane, and also, she got $75 less than Jane. Hence, x + y = $90000, this is because the total sum of money shared is $90000.

Substituting y = 2x - 75 into x + y = $90000 gives x + (2x - 75) = $90000.

Simplifying, we have :3x = $90000 + 75 = $90075.

Dividing both sides by 3, we get:x = $30025. Hence, Jane's share is $30025 Lydia's share = 2x - 75 = 2($30025) - $75 = $60075 - $75 = $60000.

Therefore, Jane received $30025 and Lydia received $60000.

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a) The confidence level of 99% means that we are 99% sure that the interval contains the true population proportion.

b) The 99% confidence interval for the population proportion is given as follows: (0.3145, 0.4055). It means that we are 99% sure that the true population proportion is between 0.3145 and 0.4055.

c) The 95% confidence interval would be narrower, as it would have a lower critical value, thus the margin of error would also be lower.

A confidence interval of proportions has the bounds given by the rule presented as follows:

\(\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}\)

In which the variables used to calculated these bounds are listed as follows:

The confidence level is of 99%, hence the critical value z is the value of Z that has a p-value of \(\frac{1+0.99}{2} = 0.995\), so the critical value is z = 2.575.

The parameters for this problem are given as follows:

\(\pi = 0.36, n = 739\)

The lower bound of the interval is given as follows:

0.36 - 2.575 x sqrt(0.36 x 0.64/739) = 0.3145.

The upper bound of the interval is given as follows:

0.36 + 2.575 x sqrt(0.36 x 0.64/739) = 0.4055.

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Answer:

64 cm^2

Step-by-step explanation:

The formula for volume of a cube is v = (side length)^3  or \(s^{3}\) where s= side length.

To get the length of one side, you need to take the cube root of 512cm^3, which gives you side length = 8

The formula for area of a square is A=s^2 where s= side length.

Plug s=8 into the equation, so A = 8^2 = 64

The area of each side is 64 cm^2

Angle L's in the triangle LMN is,

⇒ L = 72.54°

We have to given that;

A triangle LMN is shown in figure.

And, The sides are,

Since, We know that;

A triangle is a three-sided polygon with three vertices, three angles that add up to 180 degrees, and three sides.

Since, We know that;

⇒ sin L = Opposite / Hypotenuse

And, cos L = Base / Hypotenuse

Two rays after combined into an angle have a single terminal. And, latter is known as the vertex of the angle, and the rays are known as its sides, occasionally as its legs, and occasionally as its arms.

Now, We can use trigonometry formula to find the value of angle l we get;

⇒ sin L = Opposite / Hypotenuse

⇒ sin L = LM / LN

⇒ sin L = 18/60

Taking arc sin both side, we get;

⇒ L = 72.54°

Therefore, The value of measure of angle L is triangle LMN is,

⇒ L = 72.54°

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Answer:

2.25kg

Step-by-step explanation

Answer:

141.75

Step-by-step explanation:

Answer:

6x7=42

Step-by-step explanation:

the times symbol is a tiny x, meaning "Times", and 6 times 7 is 42, so Shelly should use 6x7=42.

In this case, since we are dealing with small numbers (6 rows and 7 flowers in each row), both the addition and multiplication equations are quite simple and easy to use.

To find how many flowers Shelly needs to plant in total, we can use both an addition equation and a multiplication equation.

1. Addition Equation:

The addition equation is simply adding the number of flowers in each row (7 flowers) for all the rows (6 rows):

Total flowers = 7 + 7 + 7 + 7 + 7 + 7

Total flowers = 6 * 7

2. Multiplication Equation:

The multiplication equation is finding the total number of flowers by multiplying the number of flowers in each row (7 flowers) by the number of rows (6 rows):

Total flowers = 6 * 7

Both equations give us the same result, which is the total number of flowers needed to plant.

However, generally speaking, when dealing with larger numbers or repetitive tasks, multiplication is often faster and more convenient than addition. It simplifies calculations and reduces the chances of errors, especially when you have to repeat the same number multiple times (as in this case with 7 flowers in each of the 6 rows). So, for larger numbers or repetitive tasks, the multiplication equation is usually easier to use.

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The answer choice which is equivalent to sec (x) among the given answer choices is; 1 / cos(x).

It follows from the task content that the answer choice which is equivalent to sec (x) is to be determined among the given answer choices.

From trigonometric ratios concept, it follows that the inverses of the 3 basic trigonometric ratios are as follows;

1 / sin x = csc (x)

1 / cos x = sec (x)

1 / tan x = cot (x)

On this note, it follows that the answer choice which is equivalent to sec (x) is; 1 / cos x.

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Answer:

0.2637

Step-by-step explanation:

Population size is top 15 ranking restaurants.

Number of draws = 3

Number of observed successes = 5

Probability formula :  [r . x } { n -r] [n - x]

solving the equation we get 24 / 91 which is approximately 0.2637

The distance of the flag pole from the end of the shadow is 23.32 feet.

A 20 foot flag pole is casting a shadow that is 12 feet long. Therefore, the distance of the top of the flag pole to the tip of the shadow can be calculated as follows:

The situation forms a right angle triangle.

Hence, using Pythagoras's theorem, we can find the distance.

Therefore,

c² = a² + b²

where

Therefore,

20² + 12²  = c²

400 + 144 = c²

c = √544

c = 23.3238075794

Therefore,

distance of the flag pole to the end of the shadow = 23.32 feet

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There will be 25 sample outcomes that are possible when two five sided dices are rolled.

Teo five sided dice rolled in this experiment, The sample space can be defined as:

n = (1,1) (1,2) (1,3) (1,4) (1,5)

(2,1) (2,2) (2,3) (2,4) (2,5)

(3,1) (3,2) (3,3) (3,4) (3,5)

(4,1) (4,2) (4,3) (4,4) (4,5)

(5,1) (5,2) (5,3) (5,4) (5,5)

n = 25

The sample space is defined as the event A is the sum of two dices is six :

n(A) = (1,5) (2,4) (3,3) (4,2) (5,1) = 5

The first die can land face-up in any one of n1 = 5 ways. For each of these 5 ways, the second die can also land face-up in n2 = 5 ways. Therefore, the pair of dice can land in n1n2 = (5)(5) = 25 possible ways.

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The true statement about the situation is:  Eugene calculates the mean number of books for this group of students.

The correct answer would be: He calculates the mean number of books for this group of students.

The statement "Eugene randomly selects a group of students at his high school using their ID numbers" implies that Eugene has randomly chosen a subset of students from the high school population. This random selection ensures that the sample represents the larger student body, reducing potential bias in the results.

Following the selection process, Eugene proceeds to ask the group about the number of books they read over the summer. This data collection allows him to gather information on the reading habits of the selected students. By asking each student in the group, he aims to capture a range of responses that will contribute to the overall analysis.

Once Eugene has collected the data on the number of books read by each student, he proceeds to calculate the mean number of books for this group. The mean, also known as the average, is obtained by summing up the number of books read by each student and dividing it by the total number of students in the group. This statistical measure provides a central tendency for the data, indicating the typical number of books read by the students in the selected group.

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Answer:

1/2

Step-by-step explanation:

First create like dominators

2/3 -1/6  = 4/6 - 1/6

simplify using subtraction

4/6 - 1/6 = 3/6

Simplify the answer

3/6 = 1/2

Answer:

1/2

Step-by-step explanation:

2/3 - 1/6

Subtract the two fractions:

2/3 - 1/6 = 1/2

The answer we get is:

1/2

Divide the numerator by the denominator for the decimal form:

1 ÷ 2 = 0.5

0.5 is our decimal form.

1/2 and 0.5 are our answers.

Hope you learned from this answer!

Answer:

B: Ones.

Step-by-step explanation:

Because this number is 4.09, and the decimal is right next to the 4, that means that it is in the ones place. Decimals are always adjacent on the right to the ones place.

Answer:

yes

Step-by-step explanation:

Answer:

da answer iz yes becoz da sharps a da same

Answer:

  $4918

Step-by-step explanation:

You want the tax owed on $90,000 using the given tax rate table.

The tax is the sum of the amounts of tax due in each income range.

  tax = 0.0575(90,000 -17,000) +0.05(17,000 -5000) +0.03(5000 -3000) +0.02(3000)

  = 0.0575(90,000) -(17000(.0575 -.05) +5000(.05 -.03) +3000(.03 -.02))

  = 0.0575(90,000) -(127.50 +100 +30)

  = 5175 -257.50 = 4917.50

Rounded to the nearest dollar, the tax due is $4,918.

__

Additional comment

The tax will be the maximum of ...

You can compute them all and find the maximum, or you can choose the function applicable to the income amount. The result is the same.

<95141404393>

Answer:

y = 125

Step-by-step explanation:

Given that,

y is directly proportional to x² i.e.

\(y=kx^2\)

k is a constant of proportionality

Put y = 20 and x = 2 in the given equation to find k.

\(k=\dfrac{y}{x^2}\\\\k=\dfrac{20}{(2)^2}\\\\k=5\)

Now put k = 5 and x = 5 in the given equation to find y.

\(y=5\times (5)^2\\\\y=125\)

So, the value of y is equal to 125.

Negating a statement in terms of quantifiers means expressing the opposite of the statement using quantifiers such as "for all" (∀) and "there exists" (∃) instead of using negation symbols like "not". The key to negating a statement using quantifiers is to switch the quantifiers and negate the predicate.

For example, the negation of the statement "For all x, P(x)" is "There exists x such that not P(x)" because we have switched the universal quantifier "for all" to the existential quantifier "there exists" and negated the predicate P(x). On the other hand, the negation of the statement "There exists x such that P(x)" is "For all x, not P(x)" because we have switched the existential quantifier to the universal quantifier and negated the predicate.

Similarly, the negation of a statement involving "and" or "or" can be found by negating each component and switching the connective. For example, the negation of "P(x) and Q(x)" is "P(x) or not Q(x)" or "not P(x) or Q(x)".

In this context, the negation statements are:

a) There exists x such that x <= 1

b) There exists x such that x > 2

c) For all x, x < 4

d) For all x, x >= 0

e) There exists x such that x >= -1 and x <= 2

f) For all x, x >= 4 and x <= 7

The complete question is given below:

"

Express the negation of each of these statements in terms of quantifiers without using the negation symbol.

a) ∀x(x>1)

b) ∀x(x≤2)

c) ∃x(x≥4)

d) ∃x(x<0)

e) ∀x((x<−1)∨(x>2))

f) ∃x((x<4)∨(x>7))

"

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