The cost of a book is $1 and a whole number of cents. The total cost of six copies of the book is less than $8. However, the total cost of seven copies of the same book at the same price per book is more than $8. What is the least a single copy of the book could cost

Answer:

x = 32

Step-by-step explanation:

x/4 = 8

<=> x = 8 . 4

<=> x = 32

EXPLANATION

Replacing the given functions into the following:

Removing the parentheses and simplifying:

Simplifying like terms:

Hence,

Answer:

34

Step-by-step explanation:

85/5=17

17x2=34

Answer:

1 5/24

Step-by-step explanation:

5/6 + 3/8

LCM of 6&8=24

(5/6)*4 =20/24

(3/8)*3=9/24

20+9/24= 29/24

QRD(Quotuient,Reminder,Divisor)

= 1 5/24

B.

Answer:

The second option, 1 5/24

Step-by-step explanation:

First off, find da flipping LCD UnU

6: 6, 12, 18, 24, 30

8: 8, 16, 24, 32, 40

We find that it is 24 UwU

5 x 4 = 20

6 x 4 = 24

5/6 - > 20/24

3 x 3 = 9

8 x 3 = 24

3/8 - > 9/24

20/24 + 9/24 = 29/24

29 - 24 = 5

29 ÷ 29 = 1

1 5/24

Answer:

Dilation by a scale factor of 2 followed by reflection about the y-axis

Step-by-step explanation:

To solve this, follow Point Z (3,-2)

When it is reflected over the y axis, it turns into (-3,-2)

When you Dialate by the origin, multiply by two on your X and Y coordinate

(-3,-2) turns into (-6,-4) and we can see that Z' is at (-6,-4), therefore it is a

Dilation by a scale factor of 2 followed by reflection about the y-axis

Hope this helps!

Answer:

D

Step-by-step explanation:

First, find out how many more sandwiches he sells after 1 minute. To do this, you can look at the table and see that in 3 minutes, he sells 6 sandwiches. This means that in 1 minute, he will sell 2 sandwiches. In the equation, this will be s = 2t + something. To find out what the "something" is, substitute two values from the table and see what it has to be for the equation to be true.

For example, you can use time = 3 and sandwiches = 19

In the equation this would be

19 = 2 * 3 + something

19 = 6 + something

So that value would be 13.

The linear function is s = 2t + 13

The exact values of the trigonometric ratio sinθ, cosθ, tanθ, cscθ, secθ and cotθ are 4/5, 3/5, 4/3, 5/4, 5/3 and 3/4 respectively.

The figure in the image is right triangle.

To find the trigonometric values, we use the trigonometric ratio.

Sine = Opposite / Hypotenuse

sinθ = 4/5

Cosine = Adjacent / Hypotenuse

cosθ = 3/5

Tangent = Opposite / Adjacent

tanθ = 4/3

Cosec = 1/sin

cscθ = 1/sinθ

cscθ = 1/(4/5)

cscθ = 5/4

sec = 1/cos

secθ = 1/cosθ

secθ = 1/(3/5)

secθ = 5/3

cot = 1/tan

cotθ = 1/tanθ

cotθ = 1/(4/3)

cotθ = 3/4

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Answer:

A right triangle consists of two legs and a hypotenuse. The two legs meet at a 90° angle and the hypotenuse is the longest side of the right triangleStep-by-step explanation:

The volume of a cylinder can be found using the formula V = πr^2h, where r is the radius (half of the diameter) and h is the height.

Since the diameter is given as 2 feet, the radius is 1 foot. The height is given as 4 feet. Substituting these values into the formula, we get:

V = π(1 ft)^2(4 ft) ≈ 12.57 cubic feet

Therefore, the approximate volume of the cylindrical storage container is approximately 12.57 cubic feet. It is important to note that this is an approximation since the actual value of π is an irrational number that cannot be expressed exactly as a decimal. However, using the value of π ≈ 3.14 is commonly accepted as a good approximation in many cases.

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Answer:

260

Step-by-step explanation:

There are a few ways to solve this, but an easy to understand one is that 39=15%, therefore 13=5%, as it is taking 1/3 of each number. Then to get to 100% we would need to multiply 13=5% by 20 to get 260=100%

Answer:

260

Step-by-step explanation:

39 = 15%

1% = \(\frac{13}{5}\)

\(\frac{13}{5}\) x 100 = 260

260 x 0.15 = 39 :)

 The sample we collect plays a cruciThe sample we collect can significantly affect our understanding of a population,

especially when it comes to making generalizations or drawing conclusions about the entire population based on the sample data. The key aspect in this regard is whether the sample is representative of the population.

A representative sample is one that accurately reflects the characteristics, diversity, and distribution of the population from which it is drawn. When our sample is representative, we can have greater confidence in generalizing the findings from the sample to the larger population. However, if our sample is not representative, our understanding of the population may be biased or limited.

In the provided example, the given data represents different age groups and their reported time spent with friends per day. If we were to collect a sample from this population, it would be crucial to ensure that the sample includes individuals from each age group in proportion to their representation in the population. This would help ensure that our sample accurately reflects the age distribution of the population.

If our sample is not representative, it may lead to inaccurate conclusions. For instance, if we only surveyed individuals from the age group 55-64 and ignored the other age groups, our understanding of the population's time spent with friends would be limited to that specific age group. We wouldn't be able to generalize our findings to the entire population because we would have missed important variations in behavior across other age groups.

To improve the representativeness of our sample, we could use random sampling techniques, such as simple random sampling or stratified sampling, to ensure that individuals from all age groups are included in the sample. By doing so, we can enhance our understanding of the population as a whole and make more accurate inferences.

In conclusion, the sample we collect plays a crucial role in shaping our understanding of a population. A representative sample enables us to make valid generalizations and draw reliable conclusions about the entire population. It ensures that the characteristics and diversity of the population are properly reflected in the sample, allowing for more accurate insights and informed decision-making.al role in shaping our understanding of a population

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Step-by-step explanation:

90×3×-5×-2/3×-5

2700/-15

-180

Therefore, there are 4 vertices in this graph.

Let V be the number of vertices in the graph. The sum of the degrees of all vertices in an undirected graph is twice the number of edges, so in this case, the sum of degrees is 2 * 10 = 20.

We know that two vertices have degree 4, so the degrees of the remaining vertices must add up to 20 - 2 * 4 = 12.

If there are v vertices of degree 3, then the total degree contributed by those vertices is 3v, so we have:

3v + 2 * 4 = 20

3v = 12

v = 4

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This suggests that the angle of the sun is such that the shadow of Jeremy and the shadow of the flagpole are not proportional. In this case, we cannot determine the height of the flagpole.

What are similar triangles?

Similar triangles are triangles that have the same shape but different sizes. Specifically, two triangles are similar if their corresponding angles are congruent (have the same measure) and their corresponding sides are in proportion (have the same ratios).

We can use similar triangles to solve this problem. Let's call the height of the flagpole "h" (in inches), and let's call the distance from the base of the flagpole to the point where the shadows meet "d" (in inches).

Since the shadows are the same length, we know that the ratio of the height of Jeremy to the distance from Jeremy to the point where the shadows meet is the same as the ratio of the height of the flagpole to the distance from the base of the flagpole to the point where the shadows meet. In other words:

74 / d = h / (d + h)

We can solve for "h" by cross-multiplying and simplifying:

74(d + h) = dh

74d + 74h = dh

h = (74d) / (d - 74)

Now we just need to substitute the given value of Jeremy's height (74 inches) for "d" and convert the result to feet:

h = (74 x 74) / (74 - 74)

h = 74 x 74 / 0

h = undefined

Therefore,  This suggests that the angle of the sun is such that the shadow of Jeremy and the shadow of the flagpole are not proportional. In this case, we cannot determine the height of the flagpole.

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Answer:

option 6b):) is correct

5! permutation of the letters abcdefgh contains strings ab, de, and gh.

The number of permutations of 'n' objects taken 'r' at a time is determined by the following formula:

P(n,r)=n! / (n−r)!

We can also find permutation using the Selection and Formation Method:

For example:

1. Number of ways to arrange the letter SANOJ:

here number of alphabets are 5, and we have to arrange all the letter so using permutation formula:

P(5, 5 ) = 5! / (5-5)!

P(5, 5 ) = 5!                : 0! = 1

without using the formula we can simply write 5! as the answer.

Here, we have given the word, " abcdefgh "

and we have to make those arrangements in which ab, de, and gh come together:

so now, we will count ab, de, and gh as a single word.

now, we will have 5 different words/alphabet:

1 → ab

2 → c

3 → de

4 → f

5 → gh

Number of ways to arrange all the 5 words/alphabet: 5!

Hence,

5! permutation of the letters abcdefgh contains strings ab, de, and gh.

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Answer:1/7

Step-by-step explanation: You take the amount that are springer spaniels and you put them with the whole of the dogs in the park 14 so you would have 2/14. You can reduce this fraction to 1/7 by dividing both the top and bottom of the fraction by 2.

Answer:

Step-by-step explanation:

x ÷ 48 = 4

Multiplying both sides by 48 we get:

x ÷ 48 x 48 = 4 x 48

x =  192

Step-by-step Explanation :-

Hey there,

As per question,

\( \frac{24}{ \frac{(8 \times 3)}{4} \times 2} \times (15 - 4)\)

\( = > \frac{24}{ \frac{24}{2}} \times 11\)

\( = > 24 \times \frac{2}{24} \times 11\)

Now cancelling both 24's we get :

\( = > 2 \times 11\)

\( = > 22\)

Therefore, The answer is 22

《 For smaller step, check the attached image also》

~Benjemin360

Have a great day :)

The term that represents the typical average speed is 30/3s

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

Expression = 20/s + 30/3s

We understand that

She traveled at 20 miles per second for some time and the rest at her typical speed

This means that

Typical speed = 30/3s

Hence, the term of the average speed is 30/3s

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The solutions to this equation are of the form x = s[v1] + t[v2] + u[v3] + v[v4], where v1, v2, v3, and v4 are the vectors that span the kernel of A. For the given matrix A, the kernel is spanned by the vectors [1 1 0 0 0], [1 0 -1 0 0], [0 1 0 -1 0], and [-1 2 1 0 1].

To find the vectors that span the kernel of A, we need to solve the equation Ax = 0, where 0 is the zero vector.

We can do this by row reducing the augmented matrix [A|0].

RREF([A|0]) = [\begin{array}{ccc|c}1&-1&0&0&0\\0&0&1&0&0\\0&0&0&1&0\\0&0&0&0&0\end{array}\right]

The solutions to this equation are of the form:
x = s[\begin{array}{c}1\\1\\0\\0\\0\end{array}\right] + t[\begin{array}{c}1\\0\\-1\\0\\0\end{array}\right] + u[\begin{array}{c}0\\1\\0\\-1\\0\end{array}\right] + v[\begin{array}{c}-1\\2\\1\\0\\1\end{array}\right]

where s, t, u, and v are constants.

Therefore, the vectors that span the kernel of A are:
[\begin{array}{c}1\\1\\0\\0\\0\end{array}\right], [\begin{array}{c}1\\0\\-1\\0\\0\end{array}\right], [\begin{array}{c}0\\1\\0\\-1\\0\end{array}\right], and [\begin{array}{c}-1\\2\\1\\0\\1\end{array}\right].

To enter them in the given format, we can use:
ker(A) = span [\begin{array}{c}a\\1\\b\\c\\d\end{array}\right] [\begin{array}{c}e\\f\\g\\1\\h\end{array}\right]

where a, b, c, d, e, f, g, and h are the constants corresponding to the vectors above.

So, ker(A) = span [\begin{array}{c}1\\1\\0\\0\\0\end{array}\right] [\begin{array}{c}0\\1\\-1\\0\\0\end{array}\right] [\begin{array}{c}0\\0\\0\\1\\0\end{array}\right] [\begin{array}{c}-1\\0\\1\\0\\1\end{array}\right]
To find the vectors that span the kernel of A, we first need to row reduce A to its row echelon form (REF) or reduced row echelon form (RREF). The matrix A is given as:

A = \[\begin{array}{ccccc}1&-1&-1&1&1\\-1&1&0&-2&2\\1&-1&-2&0&3\\2&-2&-1&3&4\end{array}\right]

After row reducing the matrix A, we get the RREF:

RREF(A) = \[\begin{array}{ccccc}1&-1&0&0&-1\\0&0&1&0&-2\\0&0&0&1&1\\0&0&0&0&0\end{array}\right]

Now, we can find the kernel of A by solving the homogeneous system Ax = 0, where x is a vector [a b c d e]^T. Using the RREF(A), we get the following system of equations:

1. a - b - e = 0
2. c - 2e = 0
3. d + e = 0

From equation 1, we get b = a - e.
From equation 2, we get c = 2e.
From equation 3, we get d = -e.

Now, we can write the vector x as a linear combination of two vectors, one with a 1 in the first position and the other with a 1 in the fourth position:

x = a[1 1 0 0 1] + e[0 0 2 1 -1]

So, the kernel of A (ker(A)) is spanned by the vectors:

ker(A) = span \[\begin{array}{c}[1, 1, 0, 0, 1], [0, 0, 2, 1, -1]\end{array}\right]

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Answer:

9.1 × 10^2mm

Step-by-step explanation:

moving the decimal point from the 0 to the 9 stopping it between the 9 and 1.... in scientific notation a number must always be before the decimal.

True....

it's a polynomial.

Answer:

\(P(C)=\frac{3}{9}\)

Step-by-step explanation:

Ω - is the number of all possible events.

|Ω|=9=|Omega|

A - the event that the drawn card numbered is  by an even number.

A={2,4,6,8}

|A|=4

P(A) - probability of event A.

\(P(A)=\frac{|A|}{|Omega|} =\frac{4}{9}\)

B - the event that the drawn card is numbered by a number less than 7

B={1,2,3,4,5,6}

|B|=6

P(B) - probability of event B.

\(P(B)=\frac{|B|}{|Omega|} =\frac{6}{9}\)

C- the event that the drawn card numbered is by an even number and

the drawn card is numbered by a number less than 7.

A={2,4,6,8} B={1,2,3,4,5,6}

C={2,4,6}            C=A∩B

|C|=3

P(C) - probability of event C.

\(P(C)=\frac{|C|}{|Omega|} =\frac{3}{9}\)

Answer:

43 I think

Step-by-step explanation:

Answer:

Not sure how you got 114, but SRU is equal to 70, and TRV is equal to 44, so if you do 180-70-44, you will get X which is 66

Step-by-step explanation:

The transformed function is written as:

g(x) = (-x - 8)² + 9

Here we start with the parent quadratic function:

f(x) = x²

Let's say that the transformed function is g(x), first we know that there is a shift of 8 units to the left, this is written as.

g(x) = f(x + 8).

Then one of 9 units up, then we get:

g(x) = f(x + 8) + 9

Finally, a reflect over the x-axis, this adds a change of sign in the argument, we get:

g(x) = f( -(x + 8)) + 9

Replacing the original function we get:

g(x) = (-x - 8)² + 9

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The equation r-6=0 is given in the cylindrical coordinates. The shape of this equation is not a sphere; it is a cylindrical shell. This equation is a cylindrical shell rather than a sphere.

Therefore, the given statement, "The shape of this equation is a sphere" is FALSE.

Cylindrical coordinates (r, θ, z) are a coordinate system that defines a point in three-dimensional space. It is similar to the polar coordinate system, except that the z-axis is added, resulting in the use of a cylindrical surface to specify the point location.

Let's find the solution.The cylindrical coordinate system is a three-dimensional coordinate system that is defined by the distance from a point in the xy-plane to a fixed point known as the origin, the angle that the point makes with the x-axis, and the vertical height of the point from the xy-plane, which is referred to as the z-coordinate of the point.

When defining a point in three-dimensional space, cylindrical coordinates are commonly used.

A sphere is a three-dimensional object with a curved surface that is equidistant from a single point in space. A spherical coordinate system is often used to specify the position of a point on a sphere. A cylindrical coordinate system, on the other hand, is commonly used to specify the position of a point on a cylindrical shell.

The equation

r - 6 = 0

is given in cylindrical coordinates. This equation is a cylindrical shell rather than a sphere.

Therefore, the given statement, "The shape of this equation is a sphere" is FALSE.

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To increase the number 8 by 50%, we first calculate 50% of 8:

50% of 8 = 0.5 × 8 = 4

Then, we add this result to 8:

8 + 4 = 12

Therefore, the result when the number 8 is increased by 50% is 12.

Answer:

12

Step-by-step explanation:

50% of 8 is 4.

8 increased by 4 is 12.

Step-by-step explanation:

-4x - 5y + 10

hope this helps

-24x + 4y

Step-by-step explanation:

first step is to expand -4 is used to multiply 5x + 3y

first know that - × + = -

                       - × - = +

-4 × 5x = -20x

-4 × 3y = -12y

-2 × 2x = -4x

-2 × -8y = 16y

-4(5x + 3y)-2(2x - 8y) = -20x - 12y - 4x + 16y

we can rearrange this by collecting like terms close to each other

-20x - 4x - 12y + 16y = -24x + 4y