it for dreelliot only 2+2 = ? ​

To prove that \(\mathbf{x = \frac{62}{9}}\) given that \(9(x+6)-41=75\), the following are the missing statements and reasons for the stated proof:

Statement 1: \(9(x+6) - 41=75\)

Reason: Given

Statement 2: \(9(x+6) = 116\)

Reason: Addition Property of Equality

Statement 3: \(9x + 54 = 116\)

Reason: Distributive Property

Statement 4: \(9x = 62\)

Reason: Subtraction Property of Equality

Statement 5: \(x = \frac{54}{6}\)

Reason: Division Property of Equality

Given the algebraic equation, 9(x+6) − 41 = 75, to prove that x = 62/9, we would solve the equation using several properties as shown below:

Statement 1: \(9(x+6) - 41=75\)

Reason: Given (You first of all state what is given)

Statement 2: \(9(x+6) = 116\)

Reason: Addition Property of Equality

This is arrived at as shown below:

\(9(x+6) - 41 + 41 =75 + 41\\\\9(x+6) = 116\)

Statement 3: \(9x + 54 = 116\)

Reason: Distributive Property

This is arrived at as shown below:

\(9 \times x + 9 \times 6 = 116\\\\9x + 54 = 116\)

Statement 4: \(9x = 62\)

Reason: Subtraction Property of Equality

This is arrived at as shown below:

\(9x + 54 - 54 = 116 - 54\\\\9x = 62\)

Statement 5: \(x = \frac{54}{6}\)

Reason: Division Property of Equality

This is arrived at as shown below:

\(9x = 62\\\\\mathbf{x = \frac{62}{9}}\)

In summary, to prove that \(\mathbf{x = \frac{62}{9}}\) given that \(9(x+6)-41=75\), the following are the missing statements and reasons for the stated proof:

Statement 1: \(9(x+6) - 41=75\)

Reason: Given

Statement 2: \(9(x+6) = 116\)

Reason: Addition Property of Equality

Statement 3: \(9x + 54 = 116\)

Reason: Distributive Property

Statement 4: \(9x = 62\)

Reason: Subtraction Property of Equality

Statement 5: \(x = \frac{54}{6}\)

Reason: Division Property of Equality

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The simplified form of the expression 10x⁻⁵/-5x¹⁰ is -2/x¹⁵. So Anja wrote the numerator as 15 instead of -2.

Exponentiation is the method of writing large numbers as the number in terms of power.

Exponent indicates how much time a number is multiplied to itself.

aᵇ read as a raise to b, implies that a is multiplies to itself b times.

We have to simplify the expression  10x⁻⁵/-5x¹⁰.

\(\frac{10x^-5}{-5x^1^0}\) =  10 × \(\frac{1}{-5}\) × x⁻⁵ × x⁻¹⁰

        = -2 x⁻¹⁵

        = \(\frac{-2}{x^1^5}\)

Hence Anja simplified the expression as  \(\frac{15}{x^1^5}\) which is not true. The correct simplified form is  \(\frac{-2}{x^1^5}\).

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Answer:

its B

Step-by-step explanation:

i did the test

The vector expressions are:

Vectors are objects that have both magnitudes and directions.

The expressions are illustrations of vectors, and the given parameters are:

Also, we have:

u = i + j.

u = i + j means that:

\(u = (5,-6) + (-7,3)\)

\(u = (5+ (-7) , -6 + 3 )\)

\(u = (5-7 , -6 + 3 )\)

\(u = (-2 , -3 )\)

Also, we have:

v = -11i + 3j

This becomes

\(v = -11 \times (-7,3) + 3 \times (5,-6)\)

\(v = (77,-33) + (15,-18)\)

Rewrite as:

\(v = (77+ 15,-33-18)\)

\(v = (92,-51)\)

Also, we have:

2u − v = i + j

and

u = i + j

Substitute i + j for u

\(2u - v = u\)

Substitute (-2, -3) for u

\(2u - v = (-2,-3)\)

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The total volume of snow used to make the snowman is 568π/3 cubic inches, approximately 188.4955592 cubic inches.

The given snowballs have the following radii: 2 inches, 3 inches and 5 inches. The volume of a sphere is given by the formula:V = (4/3)πr³
Where r is the radius of the sphere. Using the above formula, let us find the volume of the snowballs one by one:
Volume of snowball with radius 2 inches
V = (4/3)π(2)³= 4π(8/3)= 32π/3 cubic inches
Volume of snowball with radius 3 inches
V = (4/3)π(3)³= 4π(27/3)= 36π cubic inches
Volume of snowball with radius 5 inches
V = (4/3)π(5)³= 4π(125/3)= 500π/3 cubic inches
Therefore, the total volume of snow used to make the snowman is:
V(total) = 32π/3 + 36π + 500π/3= 568π/3 cubic inches, approximately 188.4955592 cubic inches.


Thus, the total volume of snow used to make the snowman is 568π/3 cubic inches, approximately 188.4955592 cubic inches.

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Assume that there exists a smallest positive real number, call it x. Then, consider the number x/2. Since x is the smallest positive real number, x/2 is not positive, which is a

contradiction.

To prove that there does not exist a smallest positive real number, we will use a proof by contradiction. Suppose that there exists a smallest positive real number, call it x. Then, consider the number x/2. Since x is positive, x/2 is also positive. However, x/2 is smaller than x, which contradicts the assumption that x is the smallest positive real number. Therefore, our assumption that there exists a smallest positive

real number

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Step-by-step explanation:

You can choose from four main ways to detect outliers:

1.Sorting your values from low to high and checking minimum and maximum values.

2.Visualizing your data with a box plot and looking for outliers.

3.Using the interquartile range to create fences for your data.

4.Using statistical procedures to identify extreme values

please make me brainilist

Answer:

a=40° hope I helped:)....

To calculate the mean, standard deviation, and variance for a binomial variable, we need the values of n and p.

The mean (or expected value) of a binomial variable is given by the formula mean = n * p. The standard deviation is calculated using the formula standard deviation = sqrt(n * p * (1 - p)), and the variance is equal to (n * p * (1 - p)). Now, let's calculate the mean, standard deviation, and variance for the given values of n and p:
Mean = n * p
Standard deviation = sqrt(n * p * (1 - p))
Variance = n * p * (1 - p)


Substitute the values of n and p into the formulas: Mean = n * p
Standard deviation = sqrt(n * p * (1 - p))
Variance = n * p * (1 - p)
Calculate the values:
Mean = n * p
Standard deviation = sqrt(n * p * (1 - p))
Variance = n * p * (1 - p) Remember to replace n and p with their respective values in each calculation.

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Answer:

Step-by-step explanation:

loss amount=Rs 50000-Rs 45000

=Rs 5000

loss%=loss amount/original amount100%

=5000/50000*100

=500000/50000

=10%

Using trigonometric ratio, the length of BE is 10 units, the value of sin B is 0.64 and cos B is 0.64 respectively

This is the ratio between the angles and sides of a right-angle triangle. The six trigonometric ratios are sine (sin), cosine (cos), tangent (tan), cotangent (cot), cosecant (cosec), and secant (sec).

In this problem, we have that

1)

Using tangent of B

tan B = opposite / adjacent

tan B = NE / BE

3/4 = 7.5 / BE

BE = 7.5 / 0.75

BE = 10

2)

To find sin B, we need to calculate the hypothenuse of the triangle which we will use Pythagoras's theorem

NB² = BE² + NE²

NB² = 10² + 7.5²

NB = 12.5

sin B = NE / NB

sin B = 7.5 / 12.5

B = sin⁻¹ (7.5 / 12.5)

B = 0.64

3)

cos B = BE / NB

cos B = 10 / 12.5

B = cos⁻¹ (10/12.5)

B = 0.64

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Answer:

Its A

Step-by-step explanation:

Its basically saying that there are 40 granola bars split up by s which are the students.

Answer:

A.(5×8)÷s is the correct answer.

Step-by-step explanation:

5 group boxes of granola bars equally share each box has 8 pieces of granola bars.So u will find the no.of student which s as the substitute no. of student.

Answer:

ill just help you out with this-

the slopes are

5/4 and 7

Step-by-step explanation:

so for question number 7 there  are black dots right? those indicate that theyre exact points (because sometimes in a graph you dont know if its 6 or 6.1, cause sometimes theyre very close)

so the point on the left side is (-2, -2) because x is on the left side of the y axis (the vertical line). since its below the x axis (the horizontal line) its negative

for the point on the right its the opposite, because x is on the right x is positive. because x is above the x axis, its positive (but it can also be positive if its on the x axis, x = 0)

the point on the right is (2, 3)

so we substitute these points into the equation for the slope

3 - (-2) / 2 - (-2) it doesnt matter which way you put them, but if you put the first y (-2, 2) (the 2) then you have to put the x from the first point

but anyways

3 - (-2) / 2 - (-2)

simplify:

3 + 2 / 2 + 2

5 / 4

so the slope is 5/ 4

run 5 rise 4

for the graph..the graph is really easy lol i like graphs

but anyways for the graph the points are already given

when x is 2, y is 14

when x is 5, y is 35

when x is ____, y is blah blah blah

so now all you have to do is substitute two points into the equation. it doesnt matter which points because the slope will still be the same for example:

you can substitute (2, 14) and (5, 35)

35 - 14/ 5 - 2

21 / 3

7

and you can also substitute (5, 35) and (10, 70)

70 - 35/ 10 - 5

35 / 5

7

and its still the same slope

Answer: five/four

7

Step-by-step explanation:

Subtract 14 from 35 to get 21. 21/

five minus two is 3

21/3 = 7

(a) The graph of the linear functions is as attached.

(b) The equation of the linear function in slope-intercept form is; y = x

(c) The equation of the transformed function in slope-intercept form is;

y = x + 2 and y = x - 3

Functions are defined as the relationship between sets of values. For example, in the function; y = f(x), for every value of x there exists a set of y values.

x is the independent variable.

y is the dependent variable.

If the linear function is; y = x,

The equation of the transformation in slope-intercept form is given as;

For translation of 2 units up, we have;

y = x + 2

For a translation of 3 units down, we have;

y = x - 3

Thus, the required graph has been attached and the solution is determined.

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The rate at which the diameter of the circle is changing when its radius is 3 ft is 6π ft/min. This can be found using the relationship between the area of a circle, its radius, and its diameter.

To solve this problem, we can use the relationship between the area of a circle, its radius, and its diameter. The area of a circle is given by the formula \(A = \pi r^2\), where A is the area and r is the radius.

Given that the area is increasing at a rate of \(5 ft^2/min\), we can differentiate the equation concerning time to find the rate of change of the area:

dA/dt = 2πr(dr/dt)

We are given that dr/dt represents the rate at which the area is changing, which is \(5 ft^2/min\). We need to find the rate at which the diameter is changing, which is represented by d(diameter)/dt.

Since the diameter is twice the radius, we can express the relationship as d(diameter)/dt = 2(dr/dt).

Substituting the given values, we have 5 = 2π(3)(d(diameter)/dt). Solving for d(diameter)/dt, we get d(diameter)/dt = 6π ft/min.

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Answer:

we need the whole question

Step-by-step explanation:

post the whole question

The general solution of the given second-order linear ordinary differential equation is y = (c1 + c2x)e^(5x) + 22/25, where c1 and c2 are arbitrary constants.

The given differential equation is y'' - 10y' + 25y = 22. To find the general solution, we first need to find the complementary function by solving the associated homogeneous equation, which is y'' - 10y' + 25y = 0.

Assuming a solution of the form y = e^(rx), we substitute it into the homogeneous equation and obtain the characteristic equation r^2 - 10r + 25 = 0. Solving this quadratic equation, we find that r = 5 is a repeated root.

Therefore, the complementary function is of the form y_c = (c1 + c2x)e^(5x), where c1 and c2 are arbitrary constants.

Next, we find a particular solution for the non-homogeneous equation y'' - 10y' + 25y = 22. Since the right-hand side is a constant, we can assume a constant solution y_p = a.

Substituting y_p = a into the differential equation, we find that 25a = 22, which gives a = 22/25.

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The correlation coefficient between x and f(x) is approximately 0.39. This suggests a weak positive correlation between the cost per seat and the profit the airline makes.

The precise metric used in a correlation analysis to quantify the strength of the linear relationship between two variables is the correlation coefficient.

To calculate the correlation coefficient between x and f(x), we need to calculate several quantities first:

mean of x:

\($\overline{x}\) = {50+35+60+65+70+75+80}{7} = {435}/{7}

= 62.14

mean of f(x):

\($\overline{f(x)}\)= {1,272 + 1,884.5 + 2,322 + 2,584.5 + 2,672 + 2,584.5 + 2,322}/{7}

= 2,112.86

and, standard deviation of x:

\($s_x\)=\(\sqrt{\frac{\sum_{i=1}^n (x_i - \overline{x})^2}{n-1}}\)

= \(= \sqrt{\frac{(50-62.14)^2 + (35-62.14)^2 + (60-62.14)^2 + (65-62.14)^2 + (70-62.14)^2 + (75-62.14)^2 + (80-62.14)^2}{6}} \\\approx 17.27$\)

and, standard deviation of f(x):

\($s_{f(x)} = \sqrt{\frac{\sum_{i=1}^n (f(x_i) - \overline{f(x)})^2}{n-1}}\)

= (1,272-2,112.86)² + (1,884.5-2,112.86)² + (2,322-2,112.86)² + (2,584.5-2,112.86)² + (2,672-2,112.86)²+  (2,584.5-2,112.86)² + (2,322-2,112.86)²}/ 6

= 385.09

Now, covariance of x and f(x):

\($cov(x,f(x)) = \frac{\sum_{i=1}^n (x_i - \overline{x})(f(x_i) - \overline{f(x)})}{n-1}\)

= {(50-62.14)(1,272-2,112.86) + (35-62.14)(1,884.5-2,112.86) + (60-62.14)(2,322-2,112.86) + (65-62.14)(2,584.5-2,112.86) + (70-62.14)(2,672-2,112.86) + (75-62.14)(2,584.5-2,112.86) + (80-62.14)(2,322-2,112.86)} / 6

= 762.36

Using these values, we can calculate the correlation coefficient:

\($r = \frac{cov(x,f(x))}{s_x s_{f(x)}} = \frac{762.36}{17.27 \cdot 385.09} \approx 0.39$\)

Therefore, the correlation coefficient between x and f(x) is approximately 0.39. This suggests a weak positive correlation between the cost per seat and the profit the airline makes.

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The balance of the unsubsidized loan at the time of graduation is $3,691.10.

Given:

Principal amount = $2,560

Interest rate = 6.8% = 0.068

Time period = 6 months

We can use the formula for compound interest to calculate the future value:

\(Future\; Value = P (1 + \dfrac{Interest Rate}{Number of Periods}) ^{(Periods * Time )\)

Substituting the value back into the formula as

Future Value = \($2,560 (1 + \dfrac{0.068}{12} )^{(12 * 6)\)

                      = \($2,560 (1 + 0.00566667)^{(72)\)

                      = \($2,560 (1.00566667)^{(72)\)

                      = $2,560 * 1.44044291

                       = $3,691.10

Therefore, the balance is $3,691.10.

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Answer:

He will earn $140, my bad miss calculated...

Step-by-step explanation:

Its 140....

Our estimate for f(1.2) is 1.1 which satisfies differential equation.

To find the equation of the tangent line to the curve y = f(x) through the point (1,1), we first need to find the value of f(1) at x = 1. To do this, we can solve the differential equation given:

\(dy/dx = xy/2\)

Separating the variables, we get:

\(dy/y = x/2 dx\)

Integrating both sides, we get:

\(ln|y| = x^2/4 + C\)

Where C is the constant of integration. To find the value of C, we can use the initial condition that f(1) = 1:

ln|1| = 1/4 + C

C = -1/4

So our equation for f(x) is:
\(ln|y| = x^2/4 - 1/4\)

Simplifying, we get:

\(y = e^(x^2/4 - 1/4)\)

To find the equation of the tangent line through the point (1,1), we need to find the slope of the tangent line at x = 1. To do this, we take the derivative of f(x) and evaluate it at x = 1:

\(f'(x) = (1/2)x e^(x^2/4 - 1/4)f'(1) = (1/2)(1) e^(1/4 - 1/4) = 1/2\)

So the slope of the tangent line at x = 1 is 1/2. Using the point-slope form of a line, we get:

\(y - 1 = 1/2(x - 1)\)

Simplifying, we get:

y = 1/2 x + 1/2

To estimate the value of f(1.2), we can use our tangent line equation. Plugging in x = 1.2, we get:

\(y = 1/2(1.2) + 1/2 = 1.1\)

So our estimate for f(1.2) is 1.1.

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Answer:

You would need $23.87 if you wanted to by 7 books

Step-by-step explanation:

divide 6 by 20.46 and you get $3.41 so multiply $3.41 by 7 and you end up with $23.87.

The probability that the tosses are all the same is 1/2^n, where n is the number of tosses.

This is because the probability of each toss being the same is 1/2 (heads or tails). So the probability of all three tosses being the same is the product of the probabilities of the individual tosses:

1/2 * 1/2 * 1/2 = 1/2^3 = 1/8.

The reason for this is that the probability of each toss being the same is independent of the others. That is, the result of one toss does not affect the result of another toss.

As a result, the probability of all tosses being the same is the product of the probabilities of the individual tosses.

In summary, the probability of all tosses being the same is 1/2^n, where n is the number of tosses.

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Answer:

23 inches

Step-by-step explanation:

so 9+8+6= 23 inches

Answer:

12 red bricks

Step-by-step explanation:

Step-by-step explanation:

Find the negative reciprocal of the slope of the original line and use the point-slope formula y−y1=m(x−x1)y-y1=m(x-x1) to find the line perpendicular to y=−2x+3y=-2x+3.

y=12x+1

The probability that Liz has two boys given that she has at least one boy who is taller is approximately 0.2841

Let's first consider all possible gender combinations of Liz's two children:

Boy, boy (BB)

Boy, girl (BG)

Girl, boy (GB)

Girl, girl (GG)

We know that Liz has at least one boy, which rules out the GG combination. That leaves us with three possible combinations: BB, BG, and GB.

From the given information, we know that in 76% of families consisting of one son and one daughter, the son is taller than the daughter. This means that in the BB combination, the probability that the taller child is a boy is 1 (since both children are boys), and in the BG and GB combinations, the probability is 0.76 (since there is one boy and one girl, and we know the boy is taller).

So, let's calculate the probability that Liz has two boys (BB) given that she has at least one boy who is taller. We can use Bayes' theorem for this

P(BB | taller child is a boy) = P(taller child is a boy | BB) × P(BB) / P(taller child is a boy)

where P(taller child is a boy | BB) = 1 (as both children are boys), P(BB) = 1/4 (since there are four possible gender combinations), and P(taller child is a boy) = P(taller child is a boy | BB) × P(BB) + P(taller child is a boy | BG) × P(BG) + P(taller child is a boy | GB) × P(GB) = 1 × 1/4 + 0.76 × 1/2 + 0.76 × 1/2 = 0.88.

Substituting these values into Bayes' theorem, we get

P(BB | taller child is a boy) = 1 × 1/4 / 0.88 = 0.2841

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Answer:

(-5, -4)

Step-by-step explanation:

When you rotate a point 180 degree about the origin, the x coordinate will becomes its opposite, as well as the y-coordinate.

So, as an example, if a point was at -3, 7, after a 180 degree rotation, it would be 3, -7.

Answer:

(m+11)^2

Step-by-step explanation:

break 22m in such a way that the 2 new values are factorizable by the two terms on both sides.

m^2+22m+121

m^2+11m+11+121

Factorize the first 2 terms then the next 2 terms.

m^2+11m = m(m+11)

11m+121 = 11(m+11)

Since both the brackets are equal, use one and then put the m and 11 that are outside the brackets into a new brackets.

(m+11)(m+11) = (m+11)^2

Hope this helps

Good Luck

Answer:

C. is your answer nwow.

Step-by-step explanation: