24 dollars for 7 books can you give me the rate and unit plz and thank you love

The answer is d. 82.1

Explanation:

Tan 75 = x/22

After two years, the amount that Tom returns to the bank for the bike loan is $2,800 at 6% simple interest.

Simple interest is based on a non-compounding interest system.

With simple interest, the accumulated interest is not added to the principal before computing the next period's interest.

Simple interest does not operate like compound interest, which adds the accumulated interest to the principal and computes interest on the result.

The amount of the loan for the bike purchase = $2,500

Simple interest rate = 6%

Period of loan = 2 years

The amount returned to the bank after two years = $2,800 [$2,500 + ($2,500 x 6% x 2)}

Thus, Tom will repay the bank $2,800 for his loan of $2,500 at 6% simple interest.

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(a)  What were the worldwide flash memory chip sales in 2002, in billions of dollars? (Round your answer to two decimal places.)

The worldwide flash memory chip sales in 2002, in billions of dollars is 8.25 billion dollars.

Since the worldwide sales  of flash memory chips (in billions of dollars) is approximated by  \(S(t) = 4.3(t + 2)^{0.94}\) (0 ≤ t ≤ 6) and t = 0 corresponding to 2002, the worldwide flash memory chip sales in 2002, in billions of dollars is when t = 0.

So, substituting t = 0 into S(t), we have

\(S(t) = 4.3(t + 2)^{0.94}\)

\(S(t) = 4.3(0 + 2)^{0.94}\\S(t) = 4.3(2)^{0.94}\\S(t) = 4.3(1.9185)\\S(t) = 8.25\)

So, the worldwide flash memory chip sales in 2002, in billions of dollars is 8.25 billion dollars.

(b)  What were the estimated sales for 2007, in billions of dollars? (Round your answer to two decimal places.)

The worldwide flash memory chip sales in 2007, in billions of dollars is 26.78 billion dollars.

Since the worldwide sales  of flash memory chips (in billions of dollars) is approximated by  \(S(t) = 4.3(t + 2)^{0.94}\) (0 ≤ t ≤ 6) and t = 0 corresponding to 2002, the worldwide flash memory chip sales in 2007, in billions of dollars is when t = 5 (2007 - 2002 = 5 years).

So, substituting t = 5 into S(t), we have

\(S(t) = 4.3(t + 2)^{0.94}\)

\(S(t) = 4.3(5 + 2)^{0.94}\\S(t) = 4.3(7)^{0.94}\\S(t) = 4.3(6.2286)\\S(t) = 26.783\)

S(t) ≅ 26.78

So, the worldwide flash memory chip sales in 2007, in billions of dollars is 26.78 billion dollars.

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Answer:

i m not able to give the answer to you

The statement that is equivalent to |6x-3|=3 is: 6x-3=3 or 6x-3=-3

For the equation to be true, two scenarios need to be considered:

When the expression 6x-3 is positive and equals 3:

6x-3 = 3

When the expression 6x-3 is negative and equals -3:

6x-3 = -3

By solving these two equations, we can find the equivalent statement:

Solving 6x-3 = 3:

Adding 3 to both sides gives us:

6x = 6

Dividing both sides by 6:

x = 1

Solving 6x-3 = -3:

Adding 3 to both sides gives us:

6x = 0

Dividing both sides by 6:

x = 0

Therefore, the equivalent statement to |6x-3|=3 is:

6x-3=3 or 6x-3=-3, which can be further simplified to:

6x-3=3 or 6x-3=-3

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Answer:

\(\frac{2}{3}\)(-\(\frac{3}{5}\)) ÷ \(\frac{1}{4}\) = -\(\frac{2}{5}\) × \(\frac{4}{1}\)

            = -\(\frac{8}{5}\)

-\(\frac{3}{4}\)(-\(\frac{1}{7}\)) ÷ \(\frac{1}{2}\) = \(\frac{3}{28}\) × \(\frac{2}{1}\)

             = \(\frac{6}{28}\)

             = \(\frac{3}{14}\)

\( \frac{4}{9} \)

The required solution for all the blanks is: 1/3,3/4,4/3 and 4/9 as defined by "Arithmetic operations is a branch of mathematics, that involves the study of numbers, operation of numbers that are useful in all the other branches of mathematics. It basically comprises operations such as Addition, Subtraction, Multiplication and Division."

A branch of mathematics known as arithmetic operations deals with the study and use of numbers in all other branches of mathematics. Basic operations like addition, subtraction, multiplication, and division are included. The arithmetic operator is used to carry out mathematical operations on the given operands, including addition, subtraction, multiplication, division, and modulus. Examples of arithmetic operators include: 5 + 3 = 8, 5 - 3 = 2, 2 * 4 = 8, etc. These operators are + for addition, - for subtraction, * for multiplication, / for division, and % for percentage (modulo).

Here,

For first blank=1/3

second blank=3/4

third blank=4/3

fourth blank=4/9

The required solution to the blanks are: 1/3,3/4,4/3 and 4/9 as defined by "Arithmetic operations is a branch of mathematics, that involves the study of numbers, operation of numbers that are useful in all the other branches of mathematics. It basically comprises operations such as Addition, Subtraction, Multiplication and Division.".

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Answer:

The rate of change is 28.

Step-by-step explanation:

The equation is in slope-intercept form,  y = mx + b, where m is the slope, and b is the y-intercept.

Answer:

\(b_i = -0.020125\)

Step-by-step explanation:

Given

\(\sum x_i= 2000\)

\(\sum y_i= 86.6\)

\(\sum x_i^2= 216000\)

\(\sum x_iy_i = 8338\)

\(n = 20\)

Required

Determine the slope (b) of the regression line

This is calculated as:

\(b_i = \frac{\sum xy - \frac{\sum x\sum y}{n}}{\sum x^2 - \frac{(\sum x)^2}{n}}\)

Substitute values for each term, we have:

\(b_i = \frac{8338 - \frac{2000 * 86.6}{20}}{216000 - \frac{(2000)^2}{20}}\)

Simplify the numerator

\(b_i = \frac{8338 - 8660}{216000 - \frac{(2000)^2}{20}}\)

Simplify the denominator

\(b_i = \frac{8338 - 8660}{216000 - 200000}\)

\(b_i = \frac{-322}{16000}\)

\(b_i = -0.020125\)

We are going to solve the system of equations 2x2 by elimination:

Now we have to sum equation 3 with equation 1 to eliminate the term 7m:

Now we have k and this value we can use to solve m

So, the solutions for k and m will be: k=5/4 and m=-3/14

The value of angle P = 119°

The value of angle Q = 61°

What is an Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the value of angle P be = P

Let the value of angle Q = Q

Now , the equation will be

Measure of angle P is three less than twice the measure of angle Q

Substituting the values in the equation , we get

P = 2Q - 3   be equation (1)

And , angle P and angle Q are supplementary

So ,

P + Q = 180°   be equation (2)

Substituting the value of P from equation (2) in equation (1) , we get

2Q - 3 + Q = 180

On simplifying the equation , we get

3Q - 3 = 180

Adding 3 on both sides of the equation , we get

3Q = 183

Divide by 3 on both sides of the equation , we get

Q = 61°

Therefore , the value of Q is 61°

Substitute the value of Q in equation (2) , we get

P + Q = 180°

Subtracting Q on both sides of the equation , we get

P = 180° - 61°

P = 119°

The measure of angle P = 119°

Hence , The value of angle P = 119°

The value of angle Q = 61°

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The domain is the set of all values in the set (- ∞, ∞).

Function : In mathematics, a function from a set X to a set Y assigns to each element of X exactly one element of Y. The set X is called the domain of the function and the set Y is called the codomain of the function

Expression : A mathematical expression is made up of terms (constants and variables) separated by mathematical operators

Equation : A mathematical equation is used to equate two expressions.

Given is a quadratic function as follows -

ax² + bx + c

For any quadratic equation (with vertex at origin), the value of [y] or the range is either the set of all positive values from 0 to infinity when the quadratic function open upwards and  the set of all negative values from 0 to -infinity when the quadratic function open downwards. The domain is the set of all values in the set (- ∞, ∞).

Therefore, the domain is the set of all values in the set (- ∞, ∞).

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{Question in english language is as follows -

How the domain of the quadratic function is determined.}

The distance from the bottom of the building to the point where the ladder is touching the building for triangle 2, obtained using trigonometric ratio of tangent is 12 feet. The correct option is therefore;

12 feet

The trigonometric ratios are the value relationship between an interior angle of a right triangle and two of the sides of the triangle.

The right triangles are similar, therefore, the tangent of the angle the ladder makes with the ground are the same, which indicates;

tan(θ) = (Length of the side facing the angle θ) ÷ (Length of the side adjacent to the angle θ)

The side facing the angle is the distance from the bottom to the point where the ladder touches the building.

The adjacent to the angle is the horizontal distance from the bottom to the ladder to the building.

Therefore; tan(θ) = 18/12 = x/8

Where x = The distance from the bottom of the building to the point the ladder touches the building for triangle 2

18/12 = x/8

x = 18/12 × 8 = 12

The distance, x = 12 feet

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Answer:

12?

Step-by-step explanation:

I'm not too sure! I am in the middle of taking the test right now.

Answer:

The distance from John's house to Bill's house is 5 units

Step-by-step explanation:

John's house is located at the point (-5,7) and Bill's house is located at (-2,3) in a map of the town of Springville.

We need to find the distance from John's house to Bill's house. We use the formula of the distance between two points:

Given two points A(x,y) and B(w,z), the distance between them is:

\(d=\sqrt{(w-x)^2+(z-y)^2}\)

Applying the formula:

\(d=\sqrt{(-2+5)^2+(3-7)^2}\)

\(d=\sqrt{3^2+4^2}\)

\(d=\sqrt{9+16}=\sqrt{25}\)

d=5

The distance from John's house to Bill's house is 5 units

Answer:

Z -0.879173965

Step-by-step explanation:

Z -0.879173965

ρ  0.5

π 0.54

n 120

The value of the test statistic is the z-score z = -0.88

The relationship between a value and the mean of a set of values is expressed numerically by a Z-score. The Z-score is computed using the standard deviations from the mean. A Z-score of zero indicates that the data point's score and the mean score are identical.

The Z-score is calculated using the formula:

z = (x - μ)/σ

where z: standard score

x: observed value

μ: mean of the sample

σ: standard deviation of the sample

Given data ,

Let the test statistic value be represented as z

Now , the probability of emergency room visitors are insured is q = 0.54

The total number of patients n = 120

The number of patients that were insured = 60

So , the percentage of people that were insured p = 60/120 = 0.5

Now , test statistic value z = ( p - q ) / [ √ ( q ( 1 - q )/n² ]

The value of z score is

z = [ 0.5 - 0.54 ] / √ 0.54 ( 1 - 0.54 ) / 120²

On simplifying the equation , we get

The value of z score is z = -0.88

Hence , the test statistic is z = -0.88

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In hypothesis testing, null hypothesis (H0) is a claim that the person conducting the research wants to test while an alternative hypothesis (H1) is a contradiction of the null hypothesis.

There are two types of tests in hypothesis testing is known.

One tailed test: In first tailed test, a claim that a parameter is greater than/ less than a value is being tested.

mean > value or mean < value.

Second tailed test: In a two tailed test, a claim that a value is equal to a value is tested,

mean = value.

Since we can see that Colleen is testing the claim that the average score of her class is the same as others against that it is different from others.

Hence, the null hypothesis is H0: mean = 514

and the alternative hypothesis is H1: mean ≠ 514

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Answer: 5/3a + 4/2b

Step-by-step explanation:

\(\dfrac{4}{3} a-\dfrac{1}{2} b+\dfrac{1}{3} a+\dfrac{5}{2} b\)

Rearrange:

\(\dfrac{4}{3} a+\dfrac{1}{3} a-\dfrac{1}{2} b+\dfrac{5}{2} b\)

Combine Like Terms:

\(\dfrac{4}{3} a+\dfrac{1}{3} a=\dfrac{5}{3} a\\-\dfrac{1}{2}b+\dfrac{5}{2} b=\dfrac{4}{2} b\)

\(\fbox{$\dfrac{5}{3}$a + $\dfrac{4}{2}$b}\)

The values of the angles given are: 0,90,180,240,270,360,420,480,540,600,630,660,720 and

he sine of an angle is the trigonometric ratio of the opposite side to the hypotenuse of a right triangle containing that angle.  It is defined as the length of the opposite side divided by the length of the hypotenuse

The given angles are: 0,30,45,90,120,135,180,210,225,240,270,300,315,330,360

2∅  2*∅ = 0, 90,180,240,270,360,420,480,540,600,630,660,720

sin 2∅ = sin0 = 0; Sin90=1;  sin180=0; sin240= -0.8660; sin270 = -1;

Each angle is multiplied by sine sine360 =1; sin420 = 0.8660; sin480= 0.9848; sin540=1; sin600=-0.8660; sin630=-1; sin660=0.8660; sin720= 0.9397

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To solve for the value of x that would make KM ∥ JN, we can use the converse of the side-splitter theorem.

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Answer: 7725.5775

Step-by-step explanation:

d=27

r=d/2=27/2=13.5

the volume of the spherical balloon= 3.14*r^3

                                                       = 3.14*(13.5)^3

                                                       = 7725.5775

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Answer:

the angle SWX is 108 degrees - true.

the angles QRT and TRU are supplementary - true.

Step-by-step explanation:

a turn on a line (from one direction to the other) is always 180 degrees in total. any part turns (angles) cover parts of that 180 total and leave the remainder "open".

we know the "inner" angle RWS is 72 degrees. it's "outer" angle SWX must then be the remainder of 180 degrees on the line TX.

180 - 72 = 108 degrees.

UR and QS are not parallel, as they have a crossing point (R). parallel lines never cross each other.

TX and QS are not perpendicular, as they have an angle of 18 degrees to each other. but perpendicular lines have an angle of 90 degrees with each other.

QRT and TRU are supplementary, as together they build the 90 degree angle QRU without any overlap.

Answer:

10.5

Step-by-step explanation:

To find mean, you add all the terms and divide your sum by the number of terms there are. Since the terms are 5 and 16, you would do 5+16=21. Then, since there are two terms, divide 21 by 2 and your mean is 10.5.

The geometric mean of 5 and 16 is √80 ≈ 8.94.

Geometric mean of two or more numbers is defined as the square root of the product of all the numbers.

Simply, if the two numbers are a and b,

Geometric mean of those numbers = √(ab)

Here the given numbers are 5 and 16.

Geometric mean of 5 and 16 = √(5 × 16) = √80 ≈ 8.94

Hence the geometric mean is approximately 8.94.

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Answer:

Range =94

σ² = 1,141.564

Standard Deviation = 33.78703

Step-by-step explanation:

First off to find the range, we find the highest value and subtract it to the lowest value. In this situation the values are:

Highest = 99

Lowest = 5

Range = 99 - 5

Range = 94

Now to find the variance of the sample data set, we first need to find for the mean of the data.

The mean of the data with be the sum of all the numbers in the data set divided by the number of samples.

5 + 14 + 26 + 50 + 60 +72 + 79 + 88 + 93 +94 + 99

That would equal 680

Then you divide the number of samples and that is 11 so the next equation is 680 divided by 11

So the then-

Mean = 61.81818

Now to find the variance we simply use the formula:

Now to find the variance we simply use the formula:

σ²=\(\frac{(xi - Mean)^{2} }{n-1}\)

σ²=\(\frac{(5 - 61.818)^{2} + (14 - 61.818)^{2} + (26 - 61.818)^2 + (99 - 61.818)^2} {11-1}\)

σ²=\(\frac{11,415.64}{10}\)

σ²=\(1,141.564\)

Now to find the standard deviation, we take the variance and get the square root of it.

Standard Deviation= \(\sqrt{1,141.564}\)

Standard Deviation= \(33.78703\)

HOPE THIS HELPS :)

The area should the base of the new container must have option D that is, A = 2m-10.

In mathematics, area is a measurement of the size of a two-dimensional surface or shape, usually measured in square units such as square meters, square centimeters, or square feet. It is the amount of space inside the boundary of a flat object or shape.

Here,

To calculate the area of the base of the new container, we need to find the radius of the container first. Since the diameter is given as 10 cm, the radius would be half of that, which is 5 cm. The formula for the area of a circle is A = πr², where A is the area and r is the radius. So, substituting the values, we get:

A = π(5 cm)²

A = π(25 cm²)

A = 25π cm²

However, the answer choices are not in this format. To simplify the answer, we can use the value of π as approximately 3.14 (rounded to two decimal places). So, the area of the base would be:

A = 25π cm²

A ≈ 25(3.14) cm²

A ≈ 78.5 cm²

Now, we need to choose the answer option that represents this area in terms of variables. The only option that matches is:

d. A = 2m-10

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Complete question:

Question 6. One of the bases of a container for storing gasoline has broken and it is necessary to buy a new one. The diameter of the container is 10 cm. What area should the base of the new container have?

a. A = -10²

b. A = 2m-5

c. A = -5²

d. A = 2m-10

Answer:

Step-by-step explanation:

The inverse of a function may not always be a function! The original function must be a one-to-one function to guarantee that its inverse will also be a function. A function is a one-to-one function if and only if each second element corresponds to one and only one first element. (Each x and y value is used only once.)

Answer:

The inverse is not a function: A function's inverse may not always be a function. The function (blue) f(x)=x2 f ( x ) = x 2 , includes the points (−1,1) and (1,1) . Therefore, the inverse would include the points: (1,−1) and (1,1) which the input value repeats, and therefore is not a function.

A normal distribution has a mean of 50 and a standard deviation of 3 , the probability P(X ≤ 44) = P(Z ≤ -2) = 0.0241  option a) 0.025.

In probability theory, normal distribution is also known as Gaussian distribution. It is a probability distribution that is symmetrical, bell-shaped, and a continuous probability distribution. It's also a part of continuous probability distribution that describes real-valued random variables whose probability density function is affected by two parameters: the mean μ and the variance σ².

Let us consider the problem. Suppose a normal distribution has a mean of 50 and a standard deviation of 3. Firstly, we need to standardize the random variable X that is to convert it to the standard normal distribution. We use the following formula for this Z = (X - μ) / σwhere X is the random variable and μ is the mean, σ is the standard deviation of the population.

So in this case, we can write this as Z = (44 - 50) / 3 = -2

We have now obtained the standard score or standard deviation for the random variable X.

Now we need to calculate the probability P(X ≤ 44) = P(Z ≤ -2).

The probability of Z being less than -2 is denoted by the area under the standard normal curve to the left of Z = -2.

Using the standard normal table we look for the probability that corresponds to -2 and the closest we find is 0.0228.

This probability represents the area under the standard normal distribution to the left of Z = -2.

To calculate the area to the left of Z = -2, we add the area to the left of the next integer, which is -3, which we find from the standard normal table as 0.0013, 0.0228 + 0.0013 = 0.0241.

Therefore, the probability P(X ≤ 44) = P(Z ≤ -2) = 0.0241 or 0.025 (rounded to three decimal places)Therefore, the answer is option A. 0.025.

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Answer:

divide 16/20

Step-by-step explanation:

Answer:

4 : 5

Step-by-step explanation:

ratio between 16 and 20

\( = \frac{16}{20} = \frac{4 \times 4}{4 \times 5} = \frac{4}{5} = 4 : 5 \\ \)

Answer:

-34/100 is the fraction in simplest form