what is 7-3+6+x equal ??

First,

Length of Rectangle = (x + 9) units

Breadth of Rectangle = (x + 3) units

so,

Area = (x + 9) * (x + 3)

= x² + 9x + 3x + 27

= (x² + 12x + 27) units

Answer:

Average speed = 100 km/h

Step-by-step explanation:

Given:

Total distance covered = 250 km

Total time taken = 8:30 am - 6:00 am = 2:30 hours = 2.5

Find:

Average speed.

Computation:

⇒ Average speed = Total distance covered / Total time taken

⇒ Average speed = 250 / 2.5

⇒ Average speed = 100 km/h

Answer:

1525-160=x or 1525÷160=(whatever it does) then you multiply that number by 160 and then you would get the answer to what x is

Answer:

14%

Step-by-step explanation:

Using the formula for calculating Simple interest.

Simple interest = Principal × Rate × Time/100

Given Simple interest = $16.68

Principal = loan obtained = $580

Time (in years) = (75/365) year {we will convert days to year}

Rate (in %) = ?

On substituting to get the rate

16.68 = {580×R×(75/365})/100

16.68 = 580×R×75/365×100

16.68×36,500 = 580×R×75

608,820 = 43,500R

R = 608,820/43,500

R = 13.99℅

Rate ≈ 14%

The interest rate that was charged for the loan is approximately 14%

Answer is X=5

Subtract  

10  from both sides of the equation

Simplify

Divide both sides of the equation by the same term

and done

There are 10 other years this century (from 2000 to 2099) where the number of the year is a palindrome.

\(These years are: 2002, 2112, 2222, 2332, 2442, 2552, 2662, 2772, 2882, and 2992.\)

To determine this, we note that the first and last digits of a four-digit palindrome year must be the same, and the second and third digits must also be the same. There are 10 possible choices for the first and last digits (from 2 to 9), resulting in 10 palindrome years this century.

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(a) Probability = 60/271 = 0.221 (rounded to three decimal places).

(b) Probability = 144/271 ≈ 0.531 (rounded to three decimal places).

(c) Probability = 299/271 ≈ 0.929 (rounded to three decimal places).

(d) Probability = 56/271 ≈ 0.206 (rounded to three decimal places).

a) The probability that a randomly selected member is 50 to 59 years old is 0.222.

To calculate this probability, we need to consider the number of members in the age group 50-59 and divide it by the total number of members.

From the frequency distribution, we can see that there are 60 members in the age group 50-59. To find the probability, we divide this number by the total number of members:

Probability = 60/271 = 0.221 (rounded to three decimal places).

b) The probability that a randomly selected member is 50 years of age or older can be calculated by summing the probabilities of being in the age groups 50-59, 60-69, and 70 and over.

From the frequency distribution, we can see that the number of members in these age groups is 60, 63, and 21, respectively. Summing these numbers gives us the total number of members who are 50 years of age or older: 60 + 63 + 21 = 144.

To find the probability, we divide this number by the total number of members:

Probability = 144/271 ≈ 0.531 (rounded to three decimal places).

c) The probability that a randomly selected member is 39 years of age or younger is 0.930.

To calculate this probability, we need to consider the number of members in the age groups under 30 and 30-39 and divide it by the total number of members.

From the frequency distribution, we can see that there are 253 members under 30 and 46 members in the age group 30-39. Summing these numbers gives us the total number of members who are 39 years of age or younger: 253 + 46 = 299.

To find the probability, we divide this number by the total number of members:

Probability = 299/271 ≈ 0.929 (rounded to three decimal places).

d) The probability that a randomly selected member is not between 40 to 49 years old can be calculated by subtracting the probability of being in the age group 40-49 from 1.

From the frequency distribution, we can see that there are 56 members in the age group 40-49. To find the probability, we divide this number by the total number of members:

Probability = 56/271 ≈ 0.206 (rounded to three decimal places).

Now, to find the probability of not being in the age group 40-49, we subtract this probability from 1:

Probability = 1 - 0.206 ≈ 0.794 (rounded to three decimal places).

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There are a total (4) 2⁸ = 256 possible methods to join 8 bits or 8 binary digits.

A binary code uses a two-symbol system to represent text, computer processor instructions, or any other data.

The binary number system's "0" and "1" are frequently employed as the two symbols in this system.

Each character, command, etc. is given a set of binary digits, often referred to as bits, by the binary code.

A binary string of eight bits (also known as a byte) can, for instance, represent any of 256 possible values and hence a vast range of distinct things.

8 bits, or 8 binary digits, can be combined in 2⁸=256 different ways.

Some of these combinations are shown in the following table.

(The number in parentheses is the equivalent in decimal form.)

Therefore, there are a total (4) 2⁸ = 256 possible methods to join 8 bits or 8 binary digits.

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Answer:

C. ASA

Step-by-step explanation:

The details of the given parameters are;

Angle ∠B of ΔABC is congruent to angle ∠E of triangle ΔDEF,

Angle ∠C of ΔABC is congruent to angle ∠F of triangle ΔDEF

Side \(\overline{BC}\) of ΔABC is congruent to side \(\overline {EF}\) of triangle ΔDEF

Two angles (∠B and ∠C) and the included side (side \(\overline{BC}\)) of ΔABC are congruent to the corresponding two angles and included side (∠D, ∠E and side \(\overline {EF}\)) of ΔDEF, therefore, the two triangles are congruent by the Angle-Side-Angle, ASA, rule of congruency

Answer: Side Angle Side

Answer:

B.

She can rotate triangle DEF 180and then compare the angles and sides. She will see that the triangles are congruent by the Side Angle Side theorem.

Step-by-step explanation:

Answer: These are some of the questions not all of them

There are four types of transformations: reflection, rotation, translation and enlargement. Translation (also known as Slide) moves a shape by sliding it up, down, sideways or diagonally, without turning it or making it bigger or smaller. Reflection (also known as Flip) in a line produces a mirror image in which corresponding points on the original shape and the mirror image are always the same distance from the mirror line. Rotation (also known as Turn) turns a shape through a clockwise or anti-clockwise angle about a fixed point known as the Centre of Rotation. All lines in the shape rotate through the same angle. Rotation, (just like reflection) changes the orientation and position of the shape, but everything else stays the same. Enlargement (also known as Dilation) is a transformation. However, it is different from reflection, rotation and translation because it changes the size of an object. Transformations which leave the dimensions of the object and its image unchanged are called isometric transformations. Examples of isometrics are reflection, rotation and translation. Transformations which do alter the dimension of the object when they act on them are called non-isometric transformation Examples are the enlargement. The image of a transformation is the shape after the transformation. The preimage of a transformation is the shape before the transformation. If two angles and the included side of one triangle are congruent to the corresponding parts of another triangle, then the triangles are congruent. SAS: If any two angles and the included side are the same in both triangles, then the triangles are congruent. n geometry, two figures or objects are congruent if they have the same shape and size, or if one has the same shape and size as the mirror image of the other.

Answer:

x=15

Step-by-step explanation:

8x=120

8x/8=120/8

x=15

if the bill was $23.60, and the tip was 15%, kim will earn $3.54. the overall total of the meal would be $27.14 :)

Anwser will be $3.54

15% = .15 ( to convert percent to decimal, change the % to . and move the decimal two places to the left)

23.60 * .15 = 3.54

Answer:

3.8

Step-by-step explanation:19 divided by 5 equals 3.8

The painting will be purchased at a rate of approximately \((3/8) * e^(1/5)\)dollars per year in 2006.

To find the rate at which the painting will be appreciating in 2006, we need to calculate the derivative of the function v(t) with respect to t and evaluate it at t = 2006 - 1998 = 8 years.

The derivative of \(v(t) = 300,000e^(t/40)\) with respect to t can be calculated as follows:

\(v'(t) = (1/40) * 300,000 * e^(t/40)\)

Now, let's evaluate v'(t) at t = 8:

\(v'(8) = (1/40) * 300,000 * e^(8/40)\)

Simplifying the expression:

\(v'(8) = (3/8) * e^(1/5)\)

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Answer:

true

Step-by-step explanation:

becuse if you put too penicils on the sides or top and bootem the points will never touch

Answer:

the 92nd term of the arithmetic sequence is 731 because the common difference between them is 8.

Solution to the question:

Number of blocks stacked: 30

Height of tower: 64 inches

Height of each block: ?

To find the height of each block, we divide the total height of the tower with the number of blocks stacked

Therefore,

Height of each block: 64/30 = 2.13 inches

So, the height of each block is 2.13 inches.

When b is 3, the value of the expression \(2b^3 + 5\) is 59.

To evaluate the expression\(2b^3 + 5\) when b is 3, we substitute the value of b into the expression and perform the necessary calculations.

Given that b = 3, we substitute this value into the expression:

\(2(3)^3 + 5\)

First, we evaluate the exponent, which is 3 raised to the power of 3:

2(27) + 5

Next, we perform the multiplication:

54 + 5

Finally, we add the two terms:

59

Therefore, when b is 3, the value of the expression \(2b^3 + 5\) is 59.

In summary, by substituting b = 3 into the expression \(2b^3 + 5\), we find that the value of the expression is 59.

It's important to note that the provided equation has multiple possible solutions for x, but when b is specifically given as 3, the value of x is approximately 3.78.

It's important to note that in this equation, we substituted the value of b and solved for x, resulting in a specific value for x. However, if we wanted to solve for b given a specific value of x, we would follow the same steps but rearrange the equation accordingly.

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Answer:

it's -5/2

A-P-E-X

The permutations of four objects m, I, n, and k taken two at a time without repetition are: mn, mk, mi, nm, nk, ni, km, kn, ki, in, im, ik.

P is the total number of permutations, which is equal to 12.

The correct answer is OB, which lists all 12 permutations.

P2 is the number of permutations taken two at a time with repetition allowed. This means that we can repeat the same object in a permutation.

There are 16 possible permutations with repetition allowed: mm, ml, mn, mk, ll, ln, lk, nn, nk, kk, ii, ik, nn, ni, nk.

Therefore, P2 is equal to 16.

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17 minutes

hope this helps!

the estimated maximum absolute error is approximately 0.1624.

To estimate the maximum absolute error using the Remainder Estimation Theorem, we need to find the value of the remainder term for the polynomial approximation.

The Remainder Estimation Theorem states that if R(n) is the remainder term for the polynomial approximation of degree n, then the maximum absolute error (E) is given by:

E ≤ |R(n)|

In this case, the polynomial approximation is 1 + 8x + 28x^2 and the original function is f(x) = (1 + x)^8. The interval of interest is -0.01 ≤ x ≤ 0.01.

To find the remainder term R(n), we use the Binomial Expansion of (1 + x)^8:

f(x) = (1 + x)^8 = C(8, 0) + C(8, 1)x + C(8, 2)x^2 + ... + C(8, 8)x^8

Where C(n, k) is the binomial coefficient.

The remainder term R(n) can be obtained by subtracting the polynomial approximation from the original function:

R(n) = f(x) - (1 + 8x + 28x^2)

Now we need to estimate the maximum absolute value of R(n) on the interval -0.01 ≤ x ≤ 0.01.

To do this, we can find the maximum value of |R(n)| by evaluating R(n) at the endpoints of the interval and taking the larger value:

|R(n)| = max(|R(-0.01)|, |R(0.01)|)

Substituting the values of x into R(n), we have:

|R(n)| = max(|f(-0.01) - (1 + 8(-0.01) + 28(-0.01)^2)|, |f(0.01) - (1 + 8(0.01) + 28(0.01)^2)|)

Now we evaluate the expressions:

|R(n)| = max(|f(-0.01) - (1 - 0.08 + 0.00028)|, |f(0.01) - (1 + 0.08 + 0.00028)|)

To simplify further, we calculate the values of f(-0.01) and f(0.01):

f(-0.01) = (1 + (-0.01))^8 ≈ 1.0824

f(0.01) = (1 + 0.01)^8 ≈ 1.1859

Substituting these values, we have:

|R(n)| = max(|1.0824 - (1 - 0.08 + 0.00028)|, |1.1859 - (1 + 0.08 + 0.00028)|)

Simplifying the expressions inside the absolute values, we get:

|R(n)| = max(|0.1624|, |0.1059|)

Taking the larger value, we find:

|R(n)| ≈ 0.1624

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\((\stackrel{x_1}{3}~,~\stackrel{y_1}{-4})\hspace{10em} \stackrel{slope}{m} ~=~ - 6 \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{(-4)}=\stackrel{m}{- 6}(x-\stackrel{x_1}{3}) \implies y +4= -6 (x -3) \\\\\\ y+4=-6x+18\implies {\Large \begin{array}{llll} y=-6x+14 \end{array}}\)

Answer:

Step-by-step explanation:

answer: owen can afford to keep and drive the car for 4 days.

The total owing on the car rental is R(d) = ($77.25/day)d + ($0.12/mile)m ≤ $330.  Substitute 1 for d (that is, the rental is for 1 day) and 175 for m:

R(d) = ($77.25/day)(d days) + ($0.12/mile)(175 miles) ≤ $330

    =   $77.25d                   + $21     ≤ $330

This simplifies to   $77.25d + $21 ≤ $330, or

                                $77.25d ≤ $309

Solving this by dividing both sides of the above equation by $77.25, we get                          

d = ($309)/($77.25) = 4

Answer: It is in quadrant II

Answer:

\(y = -\frac{2}{3}x + 490\)

gradient = = \(-\frac{2}{3}\)

y-intercept = \(490\)

Step-by-step explanation:

• The slope-intercept form of an equation takes the general form:

\(\boxed{y = mx + c}\),

where:

m = slope,

c = y-intercept.

• We are given the equation:

\(2x + 3y = 1470\)

To change this into the slope-intercept form, we must make y the subject:

\(3y = -2x + 1470\)          [subtract \(2x\) from both sides]

⇒ \(y = -\frac{2}{3}x + \frac{1479}{3}\)        [divide both sides by 3]

⇒ \(y = -\frac{2}{3}x + 490\)

• Comparing this equation with the general form equation, we see that:

m = \(-\frac{2}{3}\)

c = \(490\).

This means that the gradient is \(\bf -\frac{2}{3}\), and the y-intercept is \(\bf 490\).

Answer:

That would be -2, -2

Step-by-step explanation:

This is because if you go left or right it changes the x in (x,y). And when you move up or down it changes the y. So 5 seven units to the left is like 5 - 7 which is -2. And one unit up from -3 is -3 + 1 which is -2. Then you get your answer which is (-2,-2)