what is 6.85 times 2 times 10?

Put u=17

Answer:

59.5.

Step-by-step explanation:

h = 3.5u

When u = 17,

h = 3.5*17

= 59.5

226 integers are present between 100 and 999, inclusive, and have the property that some permutation of its digits is a multiple of 11 between 100 and 999.

Here, we have,

The problem statement is to find the number of multiples of 11 between 100 and 999 inclusive, where some multiples may have digits repeated twice and some may not.

To solve this problem, we can first count the number of multiples of 11 between 100 and 999 inclusive, which is 81.

Some of these multiples may have digits repeated twice, and each of these can be arranged in 3 permutations.

Other multiples of 11 have no repeated digits, and each of these can be arranged in 6 permutations.

However, we must account for the fact that switching the hundreds and units digits of these multiples also yields a multiple of 11, so we must divide by 2, giving us 3 permutations for each of these multiples.

Thus, we have a total of 81 × 3 = 243 permutations.

However, we have overcounted because some multiples of 11 have 0 as a digit.

Since 0 cannot be the digit of the hundreds place, we must subtract a permutation for each of these multiples.

There are 9 such multiples (110, 220, 330, ..., 990), yielding 9 extra permutations.

Additionally, there are 8 multiples (209, 308, 407, ..., 902) that also have 0 as a digit, yielding 8 more permutations.

Therefore, we must subtract these 17 extra permutations from the total of 243, giving us 226 permutations in total.

Learn more about permutations on

brainly.com/question/30649574

#SPJ12

\(▪▪▪▪▪▪▪▪▪▪▪▪▪  {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪\)

The required scale factor is :

The correct formula that defines an arithmetic sequence is option d) tn = 5n + 14.

An arithmetic sequence is a sequence of numbers in which the difference between consecutive terms remains constant. In other words, each term can be obtained by adding a fixed value (the common difference) to the previous term.

In option a) tn = 5 + 14, the term does not depend on the value of n and does not exhibit a constant difference between terms. Therefore, it does not represent an arithmetic sequence.

Option b) tn = 5n² + 14 represents a quadratic sequence, where the difference between consecutive terms increases with each term. It does not represent an arithmetic sequence.

Option c) tn = 5n(n+14) represents a sequence with a varying difference, as it depends on the value of n. It does not represent an arithmetic sequence.

Option d) tn = 5n + 14 represents an arithmetic sequence, where each term is obtained by adding a constant value of 5 to the previous term. The common difference between consecutive terms is 5, making it the correct formula for an arithmetic sequence.

To more on Progression:
https://brainly.com/question/30442577
#SPJ8

Since the exponential function is always positive, there is no solution for e^(-2t) = -1/6. This means that the derivative is never equal to zero, and there is no point of maximum steepness for this curve.

To find the point at which the curve is steepest, we need to find the maximum value of the derivative of the function. Let's start by finding the derivative of the given function:

y = 50 / (1 + 6e^(-2t))

To find the derivative, we can use the quotient rule:

y' = [50(0) - (1 + 6e^(-2t))(-12e^(-2t))]/(1 + 6e^(-2t))^2

Simplifying this expression, we get:

y' = (72e^(-2t))/(1 + 6e^(-2t))^2

To find the maximum point, we need to find the value of t for which the derivative is equal to 0. Setting y' = 0 and solving for t, we have:

(72e^(-2t))/(1 + 6e^(-2t))^2 = 0

Since the numerator cannot be zero, we focus on the denominator:

(1 + 6e^(-2t))^2 = 0

Taking the square root of both sides, we get:

1 + 6e^(-2t) = 0

Solving for e^(-2t), we have:

e^(-2t) = -1/6

Learn more about exponential function visit:

brainly.com/question/28596571

#SPJ11

Answer:

my head hurts now -.-

Step-by-step explanation:

Option A is the correct answer. Ellora wants to accumulate 150,000 in an RRSP by making annual contributions of 5,000 at the beginning of each year. If interest is 5.5% compounded quarterly, calculate how long she has to make contributions.

First, we have to find the interest rate per quarter, which will be
\(5.5% / 4\)= 1.375%.
The formula for the future value of an annuity is: 
\(FV = (C * [(1 + r)^n - 1] / r)\),

For Ellora, \(FV = $150,000, C = $5,000, and r = 1.375%.\)
Substituting these values into the formula gives:
\(150,000 = 5,000 * [(1 + 0.01375)^n - 1] / 0.01375\)
Simplifying this equation gives:
\(30 = [(1.01375)^n - 1]\)

We can solve this using logarithms:
\(ln 30 = ln [(1.01375)^n - 1]\)
\(ln 30 = n * ln 1.01375 - ln 1.01375e^(ln 30) / e^(-ln 1.01375) = n18.202125 = n\)

Therefore, it will take Ellora 18.202125 years to accumulate 150,000 in her RRSP through \($5,000\)annual contributions made at the beginning of each year with interest of \(5.5%\) compounded quarterly.

To know more about compounded quarterly visit:-

https://brainly.com/question/29021564

#SPJ11

Answer:

x = 6

Step-by-step explanation:

You use trig to find the hypotenuse of the first triangle. 4^2 + 3^2 = c^2. Then you get c = 5. SInce 10 is 2 times greater than 5 you multiply 3 by 2 and get 6. Hope that helps.

The equation of the line of best fit is ŷ = 0.06x + 2.57

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

Years Since 2000 0 1 2 3 4 5 6 7 8 9

Average Cost ($) 2.59 2.81 2.65 2.67 2.88 2.70 2.85 2.88 3.17 3.24

Next, we enter the above values in a graphing tool;

The calculation summary are as follows

The regression equation is represented as

ŷ = bx + a

Where

b = SP/SSX = 4.94/82.5 = 0.06

a = MY - bMX = 2.84 - (0.06*4.5) = 2.57

So, we have

ŷ = 0.06x + 2.57

Hence, the equation of the line of best fit is ŷ = 0.06x + 2.57

Read more about line of best fit at

https://brainly.com/question/30668844

#SPJ1

Answer:

1, 2 and 3  (I, II and III)

Step-by-step explanation:

Since the slope is positive (3) in the equation y = 3x + 1, it means that the graph has a positive slope, meaning the line slopes up from left to right.

The y intercept is 1

the x intercept is:  

0 = 3x + 1

x = 1/3

Therefore, the graph of y = 3x + 1 lies in quadrants I, II and III.  Graph the equation to prove this.  

Answer:

x=5.301459

You have to find the cube root of 149 to isolate the variable.

Answer:

E

Step-by-step explanation:

Answer:

3 2/3

Step-by-step explanation:

\(x-\frac{1}{2} = 3 \frac{1}{6}\)

\(x-\frac{1}{2} = \frac{19}{6} \\x = \frac{19}{6} + \frac{3}{6} \\x = \frac{22}{6} \\x = 3 \frac{2}{3}\)

Answer:

55 days

Step-by-step explanation:

1 day = 45 minutes

=> x days = 2475 ÷ 45

=> x days = 55 days

Therefore, he had rode 55 days in the whole summer.

The perimeter of a triangle is the sum of all its sides.

Triangles is a 3×3 cited only going with three angles and three side it is one of the most basic fundamental safe in the geometry and is used in many different area of 10 science triangle are also after used in the architecture art in other area of the designing triangle came in many other different form.

To find the perimeter, we must first calculate the lengths of the sides of the triangle. To do this, we must use the properties of trigonometric functions.

In the first question, cos A =  \(\frac{21}{29}\). Using the law of cosines, we know that \(a^{2}\) = \(b^{2}\) + \(c^{2}\) - 2bc cos A. Thus, the length of side a can be found by substituting the given values and solving for a.

In the second question, sin A = \(\frac{10}{26}\). Using the law of sines, we know that \(\frac{a}{sin A}\) = \(\frac{b}{sin B}\) = \(\frac{c}{sin C}\). Thus, the length of side a can be found by substituting the given values and solving for a.

In the third question, tan A = \(\frac{15}{8}\). Using the law of tangents, we know that \(\frac{a}{tan A}\) = \(\frac{b}{tan B}\) = \(\frac{c}{tan C}\). Thus, the length of side a can be found by substituting the given values and solving for a.

In the fourth question, cos A = \(\frac{12}{37}\). Using the law of cosines, we know that \(a^{2}\) = \(b^{2}\) + \(c^{2}\) - 2bc cos A. Thus, the length of side a can be found by substituting the given values and solving for a.

In the fifth question, tan A = \(\frac{12}{16}\). Using the law of tangents, we know that \(\frac{a}{tan A}\) = \(\frac{b}{tan B}\) = \(\frac{c}{tan C}\). Thus, the length of side a can be found by substituting the given values and solving for a.

Once we have the lengths of all sides, we can then calculate the perimeter of the triangle by simply adding all the side lengths together. Therefore, the perimeter of the triangle can be found by using the properties of trigonometric functions to calculate the lengths of the sides, and then adding all the side lengths together.

To know more about triangle click-

brainly.com/question/17335144

#SPJ1

Answer:

A and F

Step-by-step explanation:

The solution to the system of equations graphed below is (1, 5)

The given graph shows 2 lines intersecting at a point (x, y). This point of intersection is equivalent to the solution to the graphed function.

Tracing the points to the x and y-axis on the plane respectively will give the coordinate point (1, 5)

Hence the solution to the system of equations graphed below is (1, 5)

Learn more on system of equation here: https://brainly.com/question/25976025

#SPJ1

Recall that the graph of h(x+n) is the graph of h(x) translated n units to the left, therefore, the graph of

is the graph of

translated 1 unit to the left.

Answer:

Answer:

Step-by-step explanation:

If we subtract 7 from both sides, we get -2 on the right.  This is not possible, since absolute values are always 0 or greater.

The given equation is$\frac{5}{7}=\frac{a_2}{a_3}\times \frac{a_4}{a_5}\times \frac{a_6}{a_7}$Now, let us take $a_2=5$ and $a_4=1$. Thus, we get, $\frac{5}{7}=\frac{5}{a_3}\times \frac{1}{a_5}\times \frac{a_6}{a_7}$To simplify, we get, $\frac{5a_5a_6}{7a_3a_7}=1$

Hence\(, $5a_5a_6=7a_3a_7$Now, let us take $a_5=7$, $a_6=1$, $a_3=5$ and $a_7=1$.\)Putting the values, we get, $5\times7\times1=7\times5\times1$.Thus,\($a_2=5$, $a_3=5$, $a_4=1$, $a_5=7$, $a_6=1$ and $a_7=1$\) satisfies the given equation $\frac{5}{7}=\frac{a_2}{a_3}\times \frac{a_4}{a_5}\times \frac{a_6}{a_7}$.

Therefore, there is a single sequence of integers \($a_2$, $a_3$, $a_4$, $a_5$, $a_6$, $a_7$\)such that $\frac{5}{7}=\frac{a_2}{a_3}\times \frac{a_4}{a_5}\times \frac{a_6}{a_7}$ and the values are: \($a_2=5$, $a_3=5$, $a_4=1$, $a_5=7$, $a_6=1$ and $a_7=1$.\)

To know more about integers visit:

https://brainly.com/question/24057012

#SPJ11

Answer:

Did you learn about equal rectangles? we can prove AEB and CED are equal, which results in what we need to prove here

AE = CE and BE = DE. This can be proved with the help of the properties of congruent triangles.

'A parallelogram is a special kind of quadrilateral that is formed by parallel lines. The angle between the adjacent sides of a parallelogram may vary but the opposite sides need to be parallel for it to be a parallelogram. A quadrilateral will be a parallelogram if its opposite sides are parallel and congruent.'

According to the given problem,

ABCD is a parallelogram.

We know,

BC ║ AD and BC ≅ AD

From, the properties of a parallelogram,

∠CBD = ∠ADB

∠BCA = ∠DAC

We know, two lines are parallel and alternate interior angles of the parallelogram are equal.

Also, Δ BEC ≅ ΔAED (Angle-Side-Angle)

Therefore, AE ≅ CE ( The properties of congruent triangles )

                  BE ≅ DE ( The properties of congruent triangles )

Hence, we can conclude, in the parallelogram ABCD, AE = CE and BE = DE from the properties of congruent triangles.

Learn more about parallelogram here: https://brainly.com/question/11220936

#SPJ2

Answer:

\( \large \boxed{x = 4}\)

Step-by-step explanation:

Goal

Given

\(7x - 2 = 26\)

Step 1

\(7x - 2 + 2 = 26 + 2 \\ 7x + 0 = 28 \\ 7x = 28 \\ x = \frac{28}{7} \\ x = 4\)

Step 2 (Optional)

\(7x - 2 = 26 \\ 7(4) - 2 = 26 \\ 28 - 2 = 26 \\ 26 = 26\)

The equation is true for x = 4. Hence, the solution is x = 4.

In the given triangle, the measure of side c is approximately 39 m

From the question, we are to calculate the measure of side c in the given triangle.

To determine the measure of side c, we will use SOH CAH TOA

sin (angle) = Opposite / Hypotenuse

cos (angle) = Adjacent / Hypotenuse

tan (angle) = Opposite / Adjacent

In the given diagram,

Angle = 29°

Opposite = 19 m

Hypotenuse = c

Thus

sin (29°) = 19 / c

0.4848 = 19 / c

c = 19 / 0.4848

c = 39.1914

c ≈ 39 m

Hence,

The measure of c is 39 m

Learn more on Trigonometry here:

https://brainly.com/question/31387901

#SPJ1

The pool's new size will be 10 by 5 centimetres, where 1 centimetre equals 5 metres.

An object can be resized by scaling. It can be to make the thing bigger or smaller.

assuming a rectangular pool with dimensions of 50 by 25 metres

Drawing the pool at scale, with 1 cm equaling 5 metres, as follows:

1 cm = 5m .... 1

For the length;

L = 50 m ..... 2

Divide expressions 1 and 2 together;

1/L = 5/50

5L = 50

L = 50/5

L = 10 cm

For the width:

Original width = 25 meters

Get the new width

1/W = 5/25

5W = 25

W = 25/5

W = 5 cm

This demonstrates that the pool's new size will be 10 cm by 5 cm.

To know more about dimensions, visit:

https://brainly.com/question/11187894

#SPJ1

The complete question and image of rectangular pool attached below,

The area of the kite is 168 square units.

Area of kite

The general form of area of a kite is calculated by half the product of the lengths of its diagonals.

Then the formula to determine the area of a kite is:

Area = ½ × (d)1 × (d)2.

where (d)1 and (d)2 are long and short diagonals of a kite.

Given,

Here we have the diagram of the kite with side values.

Now, we have to find the area of the kite.

In order to find the area of the kite,

We have to identify the diagonals of the kite,

Here the values of the diagonals are 12 and 13.

Then the area of the kite is calculated as,

=> A = 1/2 x 24 x 14

=> A = 12 x 14

=> A = 168

Therefore the area of the kite is 168 square units.

To know more about Area of Kite here.

https://brainly.com/question/15640807

#SPJ1

Answer:

2100

Step-by-step explanation:

2000+400= 2400

2400-300= 2100

The error in the statement will be When reporting correlation, one does not report units because correlation has no units that is option D is correct.

The correct statement would be "The correlation between shoe size and height is 0.87." The correlation coefficient is a measure of the strength and direction of a linear relationship between two variables. It ranges from -1 to 1, with -1 indicating a strong negative relationship, 0 indicating no relationship, and 1 indicating a strong positive relationship. The correlation coefficient does not have units because it is a standardized measure of the relationship between the variables. If there is a unit given in any correlation statement then it means that the statement is a wrong statement or it has an error.

Learn more about Correlation at:

brainly.com/question/4219149

#SPJ4

Answer:

As per the given statement: €1 = £0.72Find how much is €410 in £.then;€410 =  = £295.2Hence, £295.2 much is €410.to find, the exchange rate of £ to €:€1 = £0.72Divide both sides by 0.72 we get;£1 = €1.38

This is because the values of f(x) in the table match the corresponding values obtained by evaluating the polynomial function for the given input values of the function represented by the data a polynomial function is represented by the data is f(x) = x^3 - x^2 - 24.

A polynomial is an expression with more than two algebraic terms, especially the sum of several terms that contain different powers of the same variable. A polynomial function is a function that includes a polynomial expression with an independent variable (x) that can only take on integer values because of its discrete nature.

Choose the function represented by the data: The polynomial function represented by the data is f(x) = x^3 - x^2 - 24.

A table representing the function f(x) = x^3 - x^2 - 24 is shown below:

x | f(x)

0 | -24

1 | -14

2 | 0

4 | 40

Therefore, the function represented by the data is f(x) = x^3 - x^2 - 24.

The provided table displays the values of the function f(x) for different input values of x. By substituting the corresponding values of x into the function, we can observe the corresponding output values. This allows us to identify the pattern and equation that represents the function.

In this case, the table shows that when x is 0, the value of f(x) is -24. When x is 1, f(x) is -14. When x is 2, f(x) is 0. And when x is 4, f(x) is 40.

Based on these data points, we can conclude that the function represented by the data is f(x) = x^3 - x^2 - 24.

Learn more about polynomial function :

brainly.com/question/30474881

#SPJ11

We find that Option 2, f(x) = \((x^3)/4 + 2x^2 - 24\), matches the data given in the table.

Based on the data given in the table, we need to determine the polynomial function that represents the data.
To do this, we can compare the values of f(x) in the table with the given options for the polynomial functions. We are looking for a function that matches the given data points.

Let's evaluate each option using the x-values from the table:
Option 1: f(x) = \(x^3 - x^2 - 24\)
For x = 0,\(f(0) = 0^3 - 0^2 - 24 = -24\) (matches the data)
For x = 1, \(f(1) = 1^3 - 1^2 - 24 = -24 - 1 - 24 = -49\) (does not match the data)
For x = 2,\(f(2) = 2^3 - 2^2 - 24 = 8 - 4 - 24 = -20\) (does not match the data)
Option 2: \(f(x) = (x^3)/4 + 2x^2 - 24\)
For x = 0,\(f(0) = (0^3)/4 + 2(0^2) - 24 = 0 - 0 - 24 = -24\) (matches the data)
For x = 1,\(f(1) = (1^3)/4 + 2(1^2) - 24 = 1/4 + 2 - 24 = -20.75\)(does not match the data)
For x = 2, \(f(2) = (2^3)/4 + 2(2^2) - 24 = 8/4 + 8 - 24 = -14\)(matches the data)
Option 3: f(x) = -24 - 14(3/3)(3/4)
Simplifying, f(x) = -24 - 14(1)(3/4) = -24 - 14(3/4) = -24 - 10.5 = -34.5 (does not match the data)
Option 4: \(f(x) = -2 1/4 * x^2 + 24\)
For x = 0, \(f(0) = -2 1/4 * 0^2 + 24 = 24\) (does not match the data)
For x = 1,\(f(1) = -2 1/4 * 1^2 + 24 = -2 1/4 + 24 = 21.75\) (does not match the data)
For x = 2,\(f(2) = -2 1/4 * 2^2 + 24 = -2 1/4 * 4 + 24 = -9 + 24 = 15\) (does not match the data)
Option 5: \(f(x) = 3/4 * x^2 - 3x + 24\)
For x = 0, \(f(0) = 3/4 * 0^2 - 3(0) + 24 = 24\) (does not match the data)
For x = 1, \(f(1) = 3/4 * 1^2 - 3(1) + 24 = 3/4 - 3 + 24 = 21.75\) (does not match the data)
For x = 2,\(f(2) = 3/4 * 2^2 - 3(2) + 24 = 3/4 * 4 - 6 + 24 = 3 - 6 + 24 = 21\)(matches the data)

Learn more about polynomial function  from the given link:

https://brainly.com/question/1496352

#SPJ11