PLEASE HELP ME THIS IS PAST DUE AND I NEED TO GET MY GRADE UP

Answer:

we bought 12 $3 clearance mystery books and 5 $8 regular-priced science fiction books.

Step-by-step explanation:

Answer:

its 3

Step-by-step explanation:

aaaaaaaaaaaaaaaaaaaaaaaaaa

Answer:

A

Step-by-step explanation:

a) ✔️

This is the principle of mathematical induction. If P holds for the base case k=1 and we can show that if it holds for any arbitrary k (e.g. k=n) then it must also hold for the next value (e.g. k=n+1), then we have shown it holds for all natural numbers.

b) ❌

There is no guarantee that P holds for all natural numbers from the statement alone. It only guarantees that for any k where P does not hold, there exists a smaller number i where P does not hold.

c) ❌

This is the principle of weak mathematical induction. It only shows that if P holds for a given k and for all smaller values i then it must hold for k+1. It does not guarantee that P holds for all natural numbers.

d) ❌

This statement is the negation of the principle of mathematical induction. It is known as the "strong induction" principle, which assumes that if P does not hold for k, then there exists a smaller i where P does not hold. However, this principle is not sufficient to prove that P holds for all natural numbers k.

$4

Multiply 80 by 0.05 to get the answer of $4

Answer:

4 (insert the currency needed)

Step-by-step explanation:

To find our answer we have to find 5% of Kate's wages and to do this we have to do 5 divided by 100. Then that answer is multiplied by 80!

This means she has to put £4 into her savings!

Hope this helps, have a lovely day! :)

The giraffe is 15 feet tall based on the relation between the length of neck of giraffe and it's height.

Firstly convert the mixed fraction to fraction.

Length of neck of giraffe = (4×2)+1/2

Length of neck = 9/2 feet

Now, let us assume the height of giraffe be x. So, equation will be -

30% × x = 9/2

Rewriting the equation

30/100 × x = 9/2

Cancelling zero

3x/10 = 9/2

Again rewriting the equation

x = 90/6

Performing division on Right Hand Side of the equation

x = 15 feet

Thus, height of giraffe is 15 feet.

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The  standard deviation of the sampling distribution of the sample mean for the given sample size is equal  to 3.1623°F.

For the normally distributed data,

Mean of the population distribution 'μ' = 59F

Population standard deviation 'σ' = 10°F

Sample size 'n' = 10

Formula for the standard deviation of the sampling distribution of the sample mean (also known as the standard error of the mean) is equal to ,

= σ / √(n)

Substitute the value to get the standard deviation of the sampling distribution of the sample mean we get,

= 10°F / √(10)

= 3.1623°F

Therefore, the standard deviation of the sampling distribution of the sample mean for all possible random samples of size 10 from this population is approximately 3.1623°F.

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Answer:

120

Step-by-step explanation:

20 percent of 600 is 120 so he will get 120

Answer:

B. -4, 6

Step-by-step explanation:

Answer:

x=9.4

using soh cah toa:

x=opposite side

15=adjacent side

using tan(toa)

[tex]tan32=\frac{x}{15}[/tex]

[tex]x=15tan32[/tex]

[tex]x=9.4[/tex]

From the graphing utility, we get the value of the integral as, Integral = 0.7206 Comparing the values of the integrals obtained from Trapezoidal rule, Simpson's rule and graphing utility, we find that the integral value obtained from the graphing utility is closest to the Simpson's rule.

We are given the definite integral ∫31ln(x)dx and we are required to approximate the integral using the trapezoidal rule and Simpson's rule. Also, we are supposed to compare these results with the approximation of the integral using a graphing utility using n=4.Trapezoidal Rule. The trapezoidal rule for numerical integration is a method to approximate the definite integral using linear interpolation.

This rule approximates the definite integral by dividing the total area into trapezoids. The formula for trapezoidal rule is given by:(Image attached)Here, a = 3 and b = 1The value of h can be calculated as follows;h=(b−a)/nh=(3−1)/4=0.5We need to calculate the values of f(1), f(1.5), f(2), f(2.5), f(3) using n = 4(Image attached)The value of integral using the trapezoidal rule is,Integral = 0.7201.

Simpson's rule is used to approximate the value of definite integral. Simpson's rule involves approximating the integral under the curve using the parabolic shape. This is done by dividing the area under the curve into small sections and then approximating each section with a parabolic shape. The formula for Simpson's rule is given as:(Image attached)Here, a = 3 and b = 1

The value of h can be calculated as follows;h=(b−a)/nh=(3−1)/4=0.5We need to calculate the values of f(1), f(1.5), f(2), f(2.5), f(3) using n = 4(Image attached)The value of integral using the Simpson's rule is,Integral = 0.7200Comparing with Graphing UtilityIntegral = 0.7201 (from Trapezoidal rule)Integral = 0.7200 (from Simpson's rule).

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Answer:

x=1

Step-by-step explanation:

Answer:

One way is to realize that since the total area is 1, the area below z = 1 is equal to 1 minus the area above z= 1 which we know from before is 0.1587. So the area below 1 is 1 - 0.1587 = 0.8413.

The relationship that is noted between two or more variables is termed a correlation. Correlation refers to the statistical association or relationship between two or more variables.

It indicates the degree to which the variables are related or how they are related to each other. Correlation can be positive, negative, or zero, depending on the direction and strength of the relationship between the variables.

A positive correlation indicates that as one variable increases, the other variable also increases. A negative correlation indicates that as one variable increases, the other variable decreases. Zero correlation indicates that there is no relationship between the variables.

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Answer: 7 dollars 18 cents.

Step-by-step explanation:

Answer:

Were sorry! Answer is not available right now check in later.

Step-by-step explanation:

Answer: The total number of students is the sum of the number of students who have vanilla and those who have chocolate:

Total = 25 + (68 - 25) = 43

The ratio of the number of students who have vanilla to the total number of students is:

Vanilla : Total = 25 : 43

This ratio cannot be simplified any further because 25 and 43 do not have any common factors other than 1. Therefore, the ratio of the number of students who have vanilla to the total number of students is:

25 : 43

Step-by-step explanation:

Answer:

2/3 is equivalent to the fraction 2/6

Answer:calculate the cube root of a cube's volume.

Step-by-step explanation:

We would name this polynomial as a quadratic polynomial with two terms.

A polynomial function is one that involves only non-negative integer powers or positive integer exponents of a variable in an equation such as the quadratic equation, cubic equation, and so on.

In the standard form of a polynomial, the terms are written in descending order of degree. The standard form for a polynomial of degree n is:

a1x + a0 + anxn + an-1xn-1 +...

We have the polynomial in this case:

9x² - 213

To write it in standard form, rearrange the terms in descending order of degree as follows:

213 + 9x²

As a result, the standard form of the polynomial is:

9x² - 213

This polynomial has degree 2 (because x's highest exponent is 2) and two terms (since there are two distinct parts to the expression, a constant and a term with an x squared coefficient).

As a result, we'd call this polynomial a quadratic polynomial with two terms.

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The length of the side labeled x is 75.3 when rounded to the nearest tenth which can be determined by using Pythagorean theorem.

The Pythagorean theorem states that the square of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the other two sides.

To find the length of the side labeled x, we will first need to calculate the length of the other two sides.

For the first triangle, the hypotenuse is equal to the side labeled x, so the length of the side labeled x can be calculated using the formula:

x = √(35² + 42²) = 50.1

For the second triangle, the hypotenuse is the side opposite the right angle, which is equal to the side labeled x. We can calculate the length of the side labeled x using the formula:

x = √(60² + 50²) = 75.3

For the third triangle, the hypotenuse is the side opposite the right angle, which is equal to the side labeled x. We can calculate the length of the side labeled x using the formula:

x = √(28² + 34²) = 39.6

Therefore, the length of the side labeled x is 75.3 when rounded to the nearest tenth.

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The rounded value of x in the triangles is:

25) x ≈ 76

27) x ≈ 21

29) x ≈ 104

All trigonometric identities are based on six trigonometric ratios. Sine, cosine, tangent, cosecant, secant, and cotangent. All these trigonometric ratios are defined using the sides of a right triangle as follows: Adjacent side, opposite side, and hypotenuse side.

25) Since, Sinθ = Opposite side/hypotenuse

Sin35° = 39/hypotenuse

hypotenuse = 39/Sin35°

Sin35° = 0.57

hypotenuse = 39/0.57

hypotenuse = 68.42

Now, using Pythagoras theorem:

hypotenuse² = base² + perpendicular²

68.42² = 39² + perpendicular²

4681.29 - 1521 = perpendicular²

4681.29 - 1521 = perpendicular²

3160.29 = perpendicular²

√3160.29 = perpendicular

56.21 = perpendicular

For the calculation of x:

Cosθ = Adjacent side/hypotenuse

Cos42° = 56.21/x

0.74 = 56.21/x

x = 56.21/0.74

x = 75.95

x ≈ 76

27) Cosθ = Adjacent side/hypotenuse

Cos60° = 14/hypotenuse

0.5 = 14/hypotenuse

hypotenuse = 14/0.5

hypotenuse = 28

Now, using Pythagoras theorem:

hypotenuse² = base² + perpendicular²

28² = 14² + perpendicular²

784 - 196 = perpendicular²

588 = perpendicular²

√588 = 24.24

perpendicular = 24.24

For the calculation of x:

Sinθ = Opposite side/hypotenuse

Sin50 = 24.24/hypotenuse

0.76 = 24.24/hypotenuse

hypotenuse = 24.24/0.76

hypotenuse = 31.89

Using Pythagoras theorem:

hypotenuse² = base² + perpendicular²

31.89² = x² + 24.24²

1016.97 = x² + 587.57

x² = 1016.97 - 587.57

x² = 429.4

x = √429.4

x = 20.72

x ≈ 21

29) Sinθ = Opposite side/hypotenuse

Sin28° = 44/hypotenuse

0.46 = 44/hypotenuse

hypotenuse = 44/0.46

hypotenuse = 95.65

Using Pythagoras theorem:

hypotenuse² = base² + perpendicular²

95.65² = 44² + perpendicular²

perpendicular² = 9148.92 - 1936

perpendicular² = 7212.92

perpendicular = √7212.92

perpendicular = 84.92

For the calculation of x:

Cosθ = Adjacent side/hypotenuse

Cos34 = 84.92/x

x = 84.92/0.82

x = 103.56

x ≈ 104

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The probability that at least half of the 328 voters contacted in the telephone survey supported the current governor in the last election is 0.0532.

To calculate the probability that at least half of the 328 voters contacted in the telephone survey supported the current governor in the last election, we can use the binomial probability formula.

The formula is: P(x) = (ⁿCₓ) × pˣ × (1-p)⁽ⁿ⁻ˣ⁾

In this case, n = 328, p = 46.37%, and x = 164 (since half of 328 is 164).

Plugging in the numbers we get:

P(x) = ³²⁸C₁₆₄ × (0.4637)¹⁶⁴ × (0.5363)⁽³²⁸⁻¹⁶⁴⁾ = 0.0532

Therefore, the probability that at least half of the 328 voters contacted in the telephone survey supported the current governor in the last election is 0.0532.

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The correct option that expresses the form of the given argument is "d. if c then f."Explanation:In the given argument, it is stated that if cell phone companies screen text messages, then freedom of speech is threatened.

But as cell phone companies do not screen text messages, so freedom of speech is not threatened. This is a conditional argument, and it can be expressed in the form of a hypothetical syllogism.

The hypothetical syllogism is a syllogism that has a conditional statement in its premises. It is also called a chain argument or transitive argument. The form of the hypothetical syllogism is "If A, then B. If B, then C.

Therefore, if A, then C."In the given argument, it can be expressed in the form of the hypothetical syllogism as follows:If cell phone companies screen text messages, then freedom of speech is threatened. If freedom of speech is threatened, then cell phone companies screen text messages. Therefore, if cell phone companies do not screen text messages, then freedom of speech is not threatened.This can also be represented as "if C then F."Therefore, the correct option that expresses the form of the given argument is "d. if c then f."

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Answer:

The island of Martinique has received $32,000 for hurricane relief efforts. The island’s goal is to fundraise at least y dollars for aid by the end of the month. They receive donations of $4500 each day. Write an inequality that represents this

situation, where x is the number of days.

Step-by-step explanation:

The total amount raised after x days is given by:

Total amount raised = $32,000 + $4,500x

We want this to be at least y by the end of the month. Assuming that there are 30 days in the month, we can write the inequality:

$32,000 + $4,500x ≥ y

Alternatively, if we don't want to assume the number of days in the month, we can use a variable for the number of days:

$32,000 + $4,500x ≥ y

This inequality states that the sum of the initial donation and the donations received each day multiplied by the number of days must be greater than or equal to the fundraising goal y.

Given:-

[tex] \: [/tex]

[tex] \: [/tex]

Solution:-

[tex] \: [/tex]

put the given values in tha equation

[tex] \: [/tex]

[tex] \: [/tex]

[tex] \: [/tex]

[tex] \: [/tex]

[tex] \: [/tex]

[tex] \: [/tex]

━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━

hope it helps ⸙

The approximate area under the curve f(t) = 1/t when found between 1 and 3 is equivalent to option D: 1.1.

Calculating an integral is called integration. Mathematicians utilize integrals to determine a variety of useful quantities, including areas, volumes, displacement, etc. Usually, when we talk about integrals, we mean definite integrals. One of the two primary calculus topics in mathematics, along with differentiation, is integration.

We can find the approximate area using the concept of integration as follows:

[tex]\int\limits^3_1 {1/t} \, dt[/tex]

We generally know that:

[tex]\int\limits^a_b {x} \, dx[/tex]= ㏑(x)

Therefore,

[tex]\int\limits^3_1 {1/t} \, dt[/tex]

= ㏑ (3) - ㏑ (1)

= 1.1, more specifically it would be 1.09.

From the table of logarithm, you can verify is equivalent to 1.1.

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Correct question is:

In Exploration 3.1.1 you found the area under the curve f(t)=1/t

between 1 and 3. What was the approximate area that you came

up with?

A. 1.3

B. .9

C. .7

D. 1.1

Answer:I=(PxRxT)/100

I=(10000x20x1)/100x2

I=200000/200

I=1000I=(

Step-by-step explanation:

Solution:Given, the mean speed of the cars racing = 158.9 mph standard deviation = 6.7 mph

To find:What speed represents the 30th percentile for speeds of race cars at Talladega?

We need to find the z-score for the 30th percentile.From the standard normal distribution table, the z-score for the 30th percentile is -0.52.Using the formula for z-score we havez=(x-μ)/σwhere x is the speed of the carsμ is the mean speed = 158.9σ is the standard deviation = 6.7Substituting these values in the above equation we have-0.52=(x-158.9)/6.7Rearranging we get,x - 158.9 =[tex]-0.52 × 6.7x - 158.9 = -3.524x = 158.9 - 3.524x = 155.376[/tex]The speed that represents the 30th percentile for speeds of race cars at Talladega is approximately 155.38 mph.

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The marginal product of labor initially increases from 6 to 9, but then starts to decrease as more labor is added. Therefore, the firm experiences diminishing returns to labor when it hires a third laborer.

Diminishing returns to labor occur when the marginal product of labor (i.e., the additional output produced by adding one more unit of labor) decreases as more labor is added. We can calculate the marginal product of labor for each level of labor as follows:

1 laborer: 6 units of output (marginal product = 6)

2 laborers: 9 units of additional output (total output = 15, marginal product = 9)

3 laborers: 10 units of additional output (total output = 25, marginal product = 10)

4 laborers: 9 units of additional output (total output = 34, marginal product = 9)

The law of diminishing marginal returns is a concept from economics that explains how the marginal output of a production process starts to decrease as the input goes up. It is also used to refer to a point at which output increases at a diminishing rate as more units of labor are added to a production process. This can also be called the point of decreasing marginal productivity.

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