What is the greatest integer that satisfies the inequality 3x - 4(equal to or less than) 8?

Answer:6.986

Step-by-step explanation:

To find the standard deviation of a set of data I find it easiest to make a chart. First you must find the mean of your data. In this case it is 476.85. Then you must subtract the mean from each data point, and square each number. Now you take your new set of data that has been squared and find the mean of these numbers. This is 48.8006. Lastly, take the square root of this number. In this case your standard deviation is 6.986.

Answer: Standard deviation is 6.986.

Step-by-step explanation:

Given an data 69.2,85.2,85.2,73.8,57.9,42.6,59,67.2,85.2,61 and have to calculate standard deviation

To find the standard deviation of a set of data I find it easiest to make a chart. First you must find the mean of your data. In this case it is 476.85. Then you must subtract the mean from each data point, and square each number.

Now you take your new set of data that has been squared and find the mean of these numbers. This is 48.8006. Lastly, take the square root of this number.

In this case standard deviation is 6.986.

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Using the same-side interior angles theorem,

\(8x+30+6x+24=180 \\ \\ 14x+54=180 \\ \\ 14x=126 \\ \\ \boxed{x=9}\)

Using vertical angles,

\(6(9)+24=10y+2 \\ \\ 78=10y+2 \\ \\ 10y=76 \\ \\ \boxed{y=7.6}\)

Answer:

A. 73

B. 30 (remainder)

Step-by-step explanation:

I hope this helped!!

Answer:

15 minutes per practice

Step-by-step explanation:

I divided 45 by 3 and got 15.

The inverses of the following block matrices i 0 c i , a 0 c d , and 0 i i d (assuming they exist) are correct.

To find the inverse of a block matrix, we need to use the following formula:

[A B]

[C D] ^ -1 = 1 / (AD - BC) * [D -B]

[-C A]

where A, B, C, and D are matrices of appropriate sizes and AD - BC is the determinant of the matrix [A B; C D]. If the determinant is zero, the matrix is singular and has no inverse.

(a) [i 0; c i]

The determinant of this matrix is i * i - 0 * c = -c. Since the determinant is non-zero for any non-zero value of c, the matrix has an inverse. Using the formula, we have:

[ i 0 ]

[ c i ] ^ -1 = 1 / (-c * i - 0 * 0) * [ i 0 ]

[-c i ]

= -1 / c * [ i 0 ]

[-c i ]

= [ -1/c 0 ]

[ 0 -1/c ]

To check this inverse, we need to multiply the matrix by its inverse and see if we get the identity matrix:

[ i 0 ]

[ c i ] * [ -1/c 0 ] = [ 1 0 ]

[ 0 1 ]

and

[ i 0 ]

[ c i ] * [ 0 -1/c ] = [ 0 1 ]

[-1 0 ]

So the inverse is correct.

(b) [a 0; c d]

The determinant of this matrix is ad - 0 * c = ad. Since the determinant is non-zero for any non-zero values of a and d, the matrix has an inverse. Using the formula, we have:

[ a 0 ]

[ c d ] ^ -1 = 1 / (ad - 0 * c) * [ d 0 ]

[ -c a ]

= 1 / ad * [ d 0 ]

[ -c a ]

To check this inverse, we need to multiply the matrix by its inverse and see if we get the identity matrix:

[ a 0 ]

[ c d ] * [ d/ad -c/ad ] = [ 1 0 ]

[ 0 1 ]

and

[ a 0 ]

[ c d ] * [ 0 1/ad ] = [ 0 1 ]

[ 0 0 ]

So the inverse is correct.

(c) [0 i; i d]

The determinant of this matrix is 0 * d - i * i = -1. Since the determinant is non-zero, the matrix has an inverse. Using the formula, we have:

[ 0 i ]

[ i d ] ^ -1 = 1 / (-1) * [ d -i ]

[-i 0 ]

= [ -d -i ]

[ i 0 ]

To check this inverse, we need to multiply the matrix by its inverse and see if we get the identity matrix:

[ 0 i ]

[ i d ] * [ -d -i ] = [ 1 0 ]

[ 0 1 ]

and

[ 0 i ]

[ i d ] * [ i 0 ] = [ 0 1 ]

[-1 0 ]

So the inverse is correct.

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Answer:

At the time the ball was thrown, it was 8 feet above the ground.

h'(x) = -32x + 64 = 0, so x = 2

The ball reaches its maximum height after 2 seconds.

Answer:

1. If it rains tomorrow then the concert will be canceled.

2. If you have two square roots then it's a positive integer.

Step-by-step explanation:

Changing the order of the words and adding if/then

Answer:

-30x

Step-by-step explanation:

The parenthesis is just to multiply, and you can combine like terms. So -5*6=-30, which you multiply with x to get -30x.

Answer:

subtract 2 from both sides

Step-by-step explanation:

2+|4x-3|=7

|4x-3|+2=7

step 1:add -2 to both sides/subtract 2 from both sides (they are the same)

Step 2: Solve Absolute Value.

|4x−3|=5

We know either4x−3=5 or 4x−3=−5

4x−3=5(Possibility 1)

4x−3+3=5+3(Add 3 to both sides)

4x=8

4x /4=8/4

(Divide both sides by 4)

x=2

4x−3=−5 (Possibility 2)

4x−3+3=−5+3 (Add 3 to both sides)

4x=−2

4x /4 = −2 /4

(Divide both sides by 4)

x= −1 /2

Answer:

x=2 or x= −1 /2

The first step in solving the equation is to subtract 2 from both sides of the equation.

The given equation;

2 + |4x−3| = 7

To solve the above equation, the first step is to subtract 2 from both sides of the equation as shown below;

2 + |4x−3| = 7

2 + |4x−3| - 2 = 7 - 2

|4x−3|  = 5

The next would be to form two equations;

-(4x - 3) = 5     and    4x - 3 = 5

from the above two equations, you determine the value of x.

Thus, the first step in solving the equation is to subtract 2 from both sides of the equation.

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Answer:

When we have a random function like:

y = f(x)

If there is no clarification, the domain will be the set of all real numbers except the ones that may make a problem.

For example, if there is some value of x such that there is a denominator equal to zero, then that particular value of x is not in the domain of f(x) (because we can not divide by x)

Something similar happens when we have a square root, remember that:

√x

Is a complex number if x < 0.

Then if we have a function like:

y = √x

The domain will be the set of all reals such that x ≥ 0.

Then the procedure to find the domain is to find the inputs that may have problems, and "remove" them from the domain.

For the range, we need to first know the domain, then we can evaluate the function in different points of the domain and see the outputs. Once we know all the outputs, we know the range of the function.

Usually, when working with continuous functions, these may have a global maximum M and a global minimum m, then the range is:

m ≤ Y ≤ M

if not, then the range is the set of all real numbers.

Answer: 14,605 pieces.

Step-by-step explanation:

In the second quarter, the company produced 795 pieces more than in the first quarter.

So, the total pieces produced in the second quarter can be calculated as:

6905 + 795 = 7700

The total pieces produced in the first semester (two quarters) can be calculated as:

6905 + 7700 = 14,605

Therefore, the company produced 14,605 pieces in the first semester.

The number of pieces the company produced in the first semester was 14,605 pieces.

The question asks to calculate how many pieces a company produced in the first semester, considering the production of two quarters.

In the first quarter, the company produced 6,905 pieces, as indicated in the question.

Already in the second quarter, the company produced 795 more pieces than in the first quarter, which means that the production in the second quarter was:

6,905 + 795 = 7,700 pieces.

To know the company's total production in the first semester, just add the productions of the two quarters:

6,905 + 7,700 = 14,605 pieces

The quotient of - 3.32 / - 2.2 is 8 ÷5.

Given fraction:

-3.32 / -2.2

First step is to re-write the given fraction which is - 3.52 / - 2.2

3.52 / 2.2

Second step is to convert the decimal to fraction

352 ÷ 100 / 22 ÷10

Third step is to reduce the fraction

reducing 352/100

=(2^5 × 11)/(2^2 × 5^2)

= [(2^5 × 11) ÷ 2^2] / [(2^2 × 5^2) ÷ 2^2]

= (2^3 × 11)/5²

= 88/25

Reducing 22/10

Divide the numerator and denominator by the greatest common divisor

= 22 ÷ 2 / 10 ÷ 2

= 11 /5

Now let determine  or find the quotient

88 ÷ 25 × 11 ÷ 5

= 8 ÷ 5

Therefore we can conclude that 8 ÷ 5 is the quotient.

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Answer:

perimeter = 2(b x L)

p° 2(2+20)

= 22X2 =44cm

area = B x W

a = 20x 2 =40 cm²

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\(2(0) + 3y = 12\)

\(3y = 12\)

Divide sides by 3

\( \frac{3y}{3} = \frac{12}{3} \\ \)

\(y = 4\)

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Part (a)

\(\lim_{h \to 0} \frac{(h-1)^5+1}{h} \\ \\ =\lim_{h \to 0} \frac{5(h-1)^4}{1} \\ \\ =\boxed{5}\)

Part (b)

\(y+1=5(x+1) \\ \\ y+1=5x+5 \\ \\ \boxed{y=5x+4}\)

Answer:

Yes

Step-by-step explanation:

Remember in order for the rates to be proportional it has to have a constant rate of change and it has to go through the origin if graphed

For one this has a constant rate of change which is 3 dollars per 25 messages

Now we just have to find out if it would go through the origin (0,0)

To do so we subtract 3 dollars and then 25 messages

6-3=3

50 - 25 =25

then again 25-25=0

3-3=0

concluding that (0,0) is a solution

Thus meaning that this is a proportional relationship

Answer:

Step-by-step explanation:

first step: expand the brackets

next step: collect the liked term, a with a and b with b

third: factor the variables" a and b"

fourth: do subtraction and addition inside the brackets

until it become: a(4)+b(4)

finally: just multiply it(expand it)

The magnitude of the electric flux through the sheet will be 6.1 N.m²/C.

What is Electric flux?

The amount of electric lines of force (or electric field lines), which cross a specific area, is referred to as electric flux, a feature of an electric field. According to this theory, electric field lines begin with positive electric charges and end with negative charges.

The following formula can be used to get the electric flux:

∅ = EAcosФ

where,

∅ = Electric flux

E is the Electric field which is 73.9 N/C.

A is Area of the plate which is =  (0.4 m)(0.6 m) = 0.24 m²

θ is the angle between normal to the area and electric field lines = 90° - 20° = 70°.

Putting these values in our formula, we get:

∅ = (73.9)(0.24)cos(70°)

∅ = 6.1 N.\(m^{2}\)/c.

Therefore the Magnitude of the electric flux through the sheet is 6.1 N.m²/C.

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Answer:

thx for giving brainliest

Answer:

Step completed incorrectly:  2

Correct Answer: y = -4x + 22

Step-by-step explanation:

The graph is a straight line through points M(4, -1) and N(8, 0).  Point Q is located at (6, -2).

To calculate the slope of the line, substitute the points into the slope formula:

\(\textsf{Slope $(m)$}=\dfrac{y_2-y_1}{x_2-x_1}=\dfrac{0-(-1)}{8-4}=\dfrac{1}{4}\)

Therefore, the slope of MN is 1/4, so step 1 of Francisco's calculations is correct.

If two lines are perpendicular to each other, the slopes of these lines are negative reciprocals. The negative reciprocal of a number is its negative inverse.

The negative reciprocal of 1/4 is -4.

Therefore, the slope of the perpendicular line is -4.

So Francisco has made an error in his calculation in step 2 by not making the perpendicular slope negative.

Corrected work

\(\textsf{Step 1:} \quad \sf slope\;of\;MN:\; \dfrac{1}{4}\)

\(\textsf{Step 2:} \quad \sf slope\;of\;the\;line\;perpendicular:\; -4\)

\(\begin{aligned}\textsf{Step 3:} \quad y-y_1&=m(x-x_1)\;\; \sf Q(6,-2)\\y-(-2)&=-4(x-6)\end{aligned}\)

\(\textsf{Step 4:} \quad y+2=-4x+24\)

\(\textsf{Step 5:} \quad y+2-2=-4x+24-2\)

\(\textsf{Step 6:} \quad y=-4x+22\)

Therefore, step 2 has been completed incorrectly.

The correct answer is y = -4x + 22.

hope it helps uh.......

The domain exists on all real numbers i.e {x∈R}∈

The range exists all on real numbers except at y = 0

Domains are all input values of a function for which the function exists while ranges are all the output values for which the function exists.

Since the x-intercept of a function exists at where y = 0, this means that the point where a function does not have any x-intercepts are all other points on the graph except at y = 0.

The following statements are therefore true;

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x is an int variable and y is a double variable and the input is: 10 20.7.The output will be x = 10, y = 20.7

given that

x is an int variable

y is a double variable

The C++ double should have a floating-point precision of up to 15 digits as it contains a precision that is twice the precision of the float data type.

When you declare a variable as double, you should initialize it with a decimal value. For example, 3.0 is a decimal number. However, if you initialize it with 3, it will also work fine because although 3 and 3.0 seem to be identical i.e., an integer, there is a big difference in their internal representation.

the input is: 10, 20.7

after execution of the statement

cin >> x >> y

The output will be x = 10, y = 20.7

because x is declared as integer variable so it will print the same

y is declared as double integer variable so it will print same as given input , if it is declared as integer variable then it will be printed as 20

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Answer:

false

Step-by-step explanation:

f(x) is not a function. In order to be a function, every x can only be partnered up with one y.

In the diagram shown, 5 is partnered up with both 1 and also 3. If this info was written like points, the points (5,1) and (5,3) would both be on the list (and graph). This makes it not a function.

Because of the TWO arrows going from the 5 (and pointing at TWO DIFFERENT numbers), it's not a function.

Answer:

(-5,-2)

Step-by-step explanation:

To find the mid-point the formula is;

\((x_1+x_2)/2 ,(y_1+y_2)/2\)

In this case point A (3,-8) , mid-point (-1,-5), point B (x,y)

Thus (3+x)/2 = -1  

        3+x=-2

            x= -2-3 = -5

And

      ( -8+y)/2 = -5

      -8 + y = -5*2

       -8 +y = -10

             y= -10 +8 = -2

Hence point B coordinates are: (-5, -2)

Answer:

In the first section the steps are wrong because they ditributed the 2 wrong they 1 shpuld be a 2 in the second row of unbolded numbers