An example of a math pattern that ends with 3.28

but not ( 0.41, 0.82, 1.64, 3.28) but i want another one with 3.28

thanks

Answer:

x = 12

Step-by-step explanation:

Definition of a point between two points:

Point B is between points A and C if and only if AB + BC = AC.

Now we apply it to this problem.

AB = 3x + 5

BC = 2x + 3

AC = 68

AB + BC = AC

Substitute each segment length with the expression or length above. Then, solve the equation for x.

3x + 5 + 2x + 3 = 68

5x + 8 = 68

5x = 60

x = 12

It will take Jamal's robot 8 seconds to catch up to Kate's robot.

Word problems are sentences describing a 'real-life' situation where a problem needs to be solved by way of a mathematical calculation.

Let's t represent the time it takes for Jamal's robot to catch up to Kate's robot (in seconds).

During this time, Kate's robot will have traveled a distance of 2t + 8 feet.

Jamal's robot will have traveled a distance of 3t feet.

When Jamal's robot catches up to Kate's robot, these two distances will be equal:

2t + 8 = 3t

Solving for t:

3t -2t = 8

t = 8 seconds.

Learn more about word problems on:

brainly.com/question/13818690

#SPJ1

Answer: y = 3 (x -4)^3

Step-by-step explanation: horizontal shift of 4 units to the right (subtract 4 units from the x):   y = 3(x - 4)^3

Vertical shift 3 units down (subtract 3 units from the function):   y = 3(x - 4)^3 - 3

Answer:        我不知道你好

Step-by-step explanation:

If the triangles are similar but no congruent, then the triangles have different size, thus the only correct option is the dilation (first option).

We know that two figures are congruent if the figures have the same shape and size, while two figures are similar only if have the same shape (but the figures can have different size).

Here we know that the triangles are similar but no congruent, so the triangles must have different size. From the given transformations, the only one that changes the size is the first option, a dilation.

And for example, if we apply a dilation AND the other transformations, then we still will get a similar figure, but if we apply a reflection/rotation/translation alones, we will get a congruent triangle.

Learn more about similar figures at:

https://brainly.com/question/14285697

#SPJ1

The, option (a) is the correct answer. Option (b) is incorrect since the higher interest rate in Japan would discourage investment in Canada, rather than attracting it. Option (c) is also incorrect since interest rate differentials are a significant driver of capital flows between countries. Option (d) is not directly related to the question of interest rate differentials and capital flows.

Capital will flow from Japan to Canada.

When interest rates are higher in one country compared to another country, investors will seek to invest in that country to earn higher returns. In this case, the interest rate is higher in Japan (7%) compared to Canada (4%), and financial assets in the two countries are equal in risk. As a result, investors in Japan will seek to invest in Canada to earn a higher return, which will result in the outflow of capital from Japan and the inflow of capital into Canada.

To know more about  Capital refer here

https://brainly.com/question/26576378#

#SPJ11

Suppose that the interest rate in Canada is 4%, in Japan it is 7%, and financial assets in the two countries are equal in risk. As a result, capital will flow from Canada to Japan. The correct option is (b).

To determine the direction of capital flow between countries based on interest rate differentials, we need to consider the concept of interest rate parity.

According to interest rate parity, capital tends to flow from a country with a lower interest rate to a country with a higher interest rate.

In this case, the interest rate in Canada is 4% while in Japan it is 7%. Since the interest rate in Japan is higher than in Canada, according to interest rate parity, capital is expected to flow from Canada to Japan.

It's important to note that this analysis assumes that other factors such as exchange rates, inflation, and market conditions remain constant.

In reality, capital flows can be influenced by a range of other factors, including market expectations, political stability, and economic outlook, which may complicate the relationship between interest rates and capital flows.

Therefore, the correct option is (b.) capital will flow from Canada to Japan.

To know more about capital flows refer here:

https://brainly.com/question/29430682#

#SPJ11

First, we need to perform the calculation within the parentheses:

698347 + 2834619 = 3532966

Then, we can multiply the result by 3:

3532966 x 3 = 10598898

Therefore, 698347+2834619 times 3 is equal to 10598898.

The 90% confidence interval for the mean noise level at these airport locations is approximately (148.1, 171.9).

Step 1 of 4:

To calculate the sample mean for the given sample data, we sum all the values and divide by the sample size.

Sample mean = (162 + 176 + 162 + 141 + 159) / 5 ≈ 160.0 (rounded to one decimal place)

Step 2 of 4:

To calculate the sample standard deviation, we need to find the differences between each data point and the sample mean, square those differences, sum them up, divide by the sample size minus 1, and then take the square root.

Deviation from mean: (162 - 160)^2, (176 - 160)^2, (162 - 160)^2, (141 - 160)^2, (159 - 160)^2

Sum of squared deviations = (2^2 + 16^2 + 2^2 + (-19)^2 + (-1)^2) = 590

Sample standard deviation = sqrt(590 / (5 - 1)) ≈ 9.6 (rounded to one decimal place)

Step 3 of 4:

To find the critical value for a 90% confidence interval, we need to look up the t-value in the t-distribution table with (n-1) degrees of freedom. Here, n is the sample size, which is 5.

Degrees of freedom = 5 - 1 = 4

Looking up the t-value for a 90% confidence level and 4 degrees of freedom, we find it to be approximately 2.776 (rounded to three decimal places).

Step 4 of 4:

To construct the 90% confidence interval, we use the formula:

Confidence interval = sample mean ± (critical value * (sample standard deviation / sqrt(sample size)))

Confidence interval = 160.0 ± (2.776 * (9.6 / sqrt(5)))

Calculating this expression will give us the lower and upper bounds of the confidence interval.

Confidence interval = 160.0 ± (2.776 * 4.297) ≈ 160.0 ± 11.9 (rounded to one decimal place)

Using the sample mean, standard deviation, and critical value, we constructed a 90% confidence interval for the mean noise level, which is approximately (148.1, 171.9) decibels. This confidence interval provides an estimate of the range within which the true mean noise level at these airports is likely to fall with 90% confidence.

To know more about confidence interval refer here:

https://brainly.com/question/32278466?#

#SPJ11

Answer:

5.2

Step-by-step explanation:

Answer:

Part A

The equation of the parabola in standard form is f(x) = 0.5·x² + x - 7.5

Part B

The equation of the parabola in factored form is f(x) = 0.5·(x + 5)·(x - 3)

Step-by-step explanation:

The coordinates of the vertex of the parabola, (h, k) = (-1, -8)

The zeros of the parabola = -5, 3

Part A

The quadratic equation representing the parabola can be written as follows;

y = a·(x - h)² + k

The standard form of the equation is f(x) = a·x² + b·x + c

k = c - b²/(4·a)

h = -b/(2·a)

c = k + a·h² = -8 + a

From the zeros of the parabola, we have;

f(-5) = a × (-5)² + b×(-5) + c = 25·a - 5·b + c = 0

f(3) = a × (3)² + b×(3) + c = 9·a + 3·b + c = 0

Therefore, we have;

25·a - 5·b + c = 0...(1)

9·a + 3·b + c = 0...(2)

From which we have;

25·a - 5·b + c = 25·a - 5·b - 8 + a = 26·a - 5·b - 8 = 0

9·a + 3·b + c = 9·a + 3·b - 8 + a = 10·a + 3·b - 8 = 0

We then have;

26·a - 5·b = 8...(3)

10·a + 3·b = 8...(4)

Making 'b', the subject of both equations (3) and (4), equating the values, we find the value of 'a' as follows;

From equation (3), we have;

26·a - 5·b = 8

∴ b = (26·a - 8)/5

From equation (4), we have;

10·a + 3·b = 8

∴ b = (8 - 10·a)/3

From b = b, by transitive property, we have;

(26·a - 8)/5 = (8 - 10·a)/3

3 × (26·a - 8) = 5 × (8 - 10·a)

78·a - 24 = 40 - 50·a

∴ 128·a = 64

a = 64/128 = 1/2 = 0.5

a = 0.5

∴ b = (26·a - 8)/5 = (26 × 0.5  - 8)/5 = (13 - 8)/5 = 1

b = 1

c = -8 + a

∴ c = -8 + 0.5 = -7.5

c = -7.5

The equation of the parabola in standard form is therefore presented as follows;

f(x) = 0.5·x² + x - 7.5

Part B

The equation of the parabola in factored form is given as follows;

With the aid of a graphing calculator, we have;

f(x) = 0.5·x² + x - 7.5 = 0.5×(x² + 2·x - 15) = 0.5·(x + 5)·(x - 3)

The equation of the parabola in factored form is f(x) = 0.5·(x + 5)·(x - 3)

Rashid spent a total of 1 hour and 30 minutes on homework for these three subjects.

If Rashid spent 30 minutes on each piece of homework for three subjects, we can calculate the total time he spent by multiplying the time spent per subject (30 minutes) by the number of subjects (3).

30 minutes * 3 = 90 minutes.

To convert this into hours and minutes, we divide 90 minutes by 60 since there are 60 minutes in an hour.

90 minutes ÷ 60 = 1 hour and 30 minutes.

Therefore, Rashid spent a total of 1 hour and 30 minutes on homework for these three subjects.

for such more question on minutes

https://brainly.com/question/25279049

#SPJ8

Answer:

3 is the co-efficient of x and 2 is the constant.

Step-by-step explanation:

Composition of functions is when one function is used as the input for another function.

Composition of functions is the process of combining two functions to form a new one. An example of this is the combination of the functions f(x) = x2 and g(x) = x+1. The new function created by this composition is given by h(x) = (x+1)2. This can be expressed in formula form as h(x) = f(g(x)).  For example, let’s say we have two functions, f(x) = x + 1 and g(x) = x2. We can find the composition of these two functions, f(g(x)), which would be equal to x2 + 1. This can be written as f(g(x)) = (x2 + 1). We can also calculate this composition. If x = 2, then f(g(2)) = 22 + 1 = 5. As another example, if we have h(x) = x3 and i(x) = 3x2, then the composition h(i(x)) = (3x2)3 = 27x6. For x = 2, then h(i(2)) = 272 = 729. As these examples show, composition of functions is a powerful tool in mathematics that can be used to quickly calculate complex equations

Learn more about Composition of functions here:

https://brainly.com/question/5614233

#SPJ4

Answer:

Step-by-step explanation: Explanation:

You need to use the formula for slope:

m

=

y

2

−

y

1

x

2

−

x

1

m

represents the slope.

You need to assign each coordinate, but it must correspond.

For example:

In the coordinate

(

2

,

−

3

)

,

2

is

x

1

and

−

3

is

y

1

.

In the coordinate

(

5

,

2

)

,

5

is

x

2

and

2

is

y

2

.

Now you plug this in.

m

=

2

−

(

−

3

)

5

−

2

After this, you need to simplify

m

=

5

3

This may be wrong so double check.

let's solve:-

\(the \: formula \:to \: find   \: slope \: \bold \green{m = \frac{y2 - y1}{x2 -x1}} \\ \\ \sf{(where \: m \:  represents \: the \: slope.)} \\ \\ \)

Here:-

\( \bold \red{\boxed{y2 = - 3} }\\ \bold \red{\boxed{y1 = - 3} }\\ \bold \red{\boxed{x2 = 5}} \: \: \: \\ \bold \red{\boxed{ x1 = 2} }\: \: \: \)

\( \large\boxed {\sf{↬putting \: values \: according \: to \: formula}}\)

\( \large \bold{↬m = \frac{ - 3 - ( - 3)}{5 - 2}} \\ \\\large \bold{↬m = \frac{ - 3 + 3}{5 - 2} } \: \: \: \: \: \: \: \\ \\ \large \bold{↬m = \frac{0}{3} } \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \\ \\ \large \bold\blue{↬m = 0} \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \)

The correct equation for the given points is:

d. y = (3/4)(x + 2)(x - 8)²

Given are points, (-2,0) (8,0) (0,96) we need to determine the graph that contains the given points,

To determine the correct equation for the given points, we can use the fact that a point (x, y) lies on a graph if and only if when we substitute the x-coordinate into the equation, it yields the corresponding y-coordinate.

Let's substitute the points (-2, 0), (8, 0), and (0, 96) into the equation choices provided to see which equation satisfies all three points.

a. y = (x + 2)²(x - 8)

For the point (-2, 0):

0 = (-2 + 2)²(-2 - 8)

0 = (0)²(-10)

0 = 0 (True)

For the point (8, 0):

0 = (8 + 2)²(8 - 8)

0 = (10)²(0)

0 = 0 (True)

For the point (0, 96):

96 = (0 + 2)²(0 - 8)

96 = (2)²(-8)

96 = 4(-8)

96 = -32 (False)

The equation y = (x + 2)²(x - 8) does not satisfy the point (0, 96).

b. y = (-3/4)(x + 2)(x - 8)²

For the point (-2, 0):

0 = (-3/4)(-2 + 2)(-2 - 8)²

0 = (-3/4)(0)(-10)²

0 = 0 (True)

For the point (8, 0):

0 = (-3/4)(8 + 2)(8 - 8)²

0 = (-3/4)(10)(0)²

0 = 0 (True)

For the point (0, 96):

96 = (-3/4)(0 + 2)(0 - 8)²

96 = (-3/4)(2)(-8)²

96 = (-3/4)(2)(64)

96 = (-3/4)(128)

96 = -96 (False)

The equation y = (-3/4)(x + 2)(x - 8)² does not satisfy the point (0, 96).

c. y = (x + 2)(x - 8)²

For the point (-2, 0):

0 = (-2 + 2)(-2 - 8)²

0 = (0)(-10)²

0 = 0 (True)

For the point (8, 0):

0 = (8 + 2)(8 - 8)²

0 = (10)(0)²

0 = 0 (True)

For the point (0, 96):

96 = (0 + 2)(0 - 8)²

96 = (2)(-8)²

96 = (2)(64)

96 = 128 (False)

The equation y = (x + 2)(x - 8)² does not satisfy the point (0, 96).

d. y = (3/4)(x + 2)(x - 8)²

For the point (-2, 0):

0 = (3/4)(-2 + 2)(-2 - 8)²

0 = (3/4)(0)(-10)²

0 = 0 (True)

For the point (8, 0):

0 = (3/4)(8 + 2)(8 - 8)²

0 = (3/4)(10)(0)²

0 = 0 (True)

For the point (0, 96):

96 = (3/4)(0 + 2)(0 - 8)²

96 = (3/4)(2)(-8)²

96 = (3/4)(2)(64)

96 = (3/4)(128)

96 = 96 (True)

The equation y = (3/4)(x + 2)(x - 8)² satisfies all three points: (-2, 0), (8, 0), and (0, 96).

Therefore, the correct equation for the given points is:

d. y = (3/4)(x + 2)(x - 8)²

Learn more about Graphs click;

https://brainly.com/question/17267403

#SPJ1

Therefore, it will take about 11 years for the account value to reach 5100 dollars.

Percent is a way of expressing a quantity as a fraction of 100. The symbol "%" is used to represent percent. For example, if we say that an interest rate is 5%, it means that the interest is 5/100 or 0.05 as a decimal. Percentages are commonly used in finance, economics, and everyday life to express rates, proportions, and changes in quantities.

Here,

We can use the formula for compound interest to solve this problem:

A = P(1 + r/n)ⁿˣ

where A is the amount of money in the account after x years, P is the principal amount (initial deposit), r is the annual interest rate (as a decimal), n is the number of times the interest is compounded per year, and x is the time (in years).

We are given that P = 2100, r = 0.05, and we want to find the value of x when A = 5100. Let's assume that the interest is compounded annually (n = 1). Substituting the given values into the formula, we get:

5100 = 2100(1 + 0.05)ˣ

Dividing both sides by 2100, we get:

(1 + 0.05)ˣ = 5100/2100

Simplifying the right-hand side, we get:

(1 + 0.05)ˣ = 2.42857

Taking the natural logarithm of both sides, we get:

ln(1 + 0.05)ˣ = ln 2.42857

Using the power rule of logarithms, we can simplify the left-hand side:

x ln(1 + 0.05) = ln 2.42857

Dividing both sides by ln(1 + 0.05), we get:

x= ln 2.42857 / ln(1 + 0.05)

Using a calculator, we get:

x≈ 11.4

Rounding this to the nearest year, we get:

x ≈ 11 years

To know more about percent,

https://brainly.com/question/29172752

#SPJ1

Answer:the answer is that if thruster b is going the opposite way it will stay in 1 place as thruster a is firing up to make the rocket fly if thruster b is going the opposite way it will just hover with that being said that's the answer

Step-by-step explanation:

Answer:  35,000

Step-by-step explanation:

Answer:

25% = 25/100 = .25

25% of 130 = .25(130) = $32.50

$32.50

if thats what you were saying

Step-by-step explanation:

Answer:

He will have deposited $32.50 and kept $97.50

Step-by-step explanation:

Answer:

Step-by-step explanation:

-7x + 4 + 3x

-4x + 4

3x + 5x + 8

8x + 8

4x + 4x + 4x + 4x

4x * 4

16x

4x + 4x

8x

The expression simplifies to: -7y^2 - y, in this simplified form.

Combining like terms involves grouping the terms with the same variables and adding or subtracting their coefficients.

In the given expression, we have -3y^2 - 7y - 9 - 4y^2 + 6y + 9

To combine like terms, we add or subtract the coefficients of the terms with the same variable. For the terms with y^2, we have -3y^2 and -4y^2, which can be combined as (-3 - 4)y^2 = -7y^2.

For the terms with y, we have -7y and +6y, which can be combined as (-7 + 6)y = -y. Finally, we combine the constant terms -9 and 9, which cancel each other out.

Therefore, the expression simplifies to: -7y^2 - y

In this simplified form, the like terms have been combined, and the expression is in its most concise form.

To know more about variable click here

brainly.com/question/2466865

#SPJ11

Answer: x=9/8

Let's solve your equation step-by-step.

x(8)=9

Step 1: Simplify both sides of the equation.

8x=9

Step 2: Divide both sides by 8.

8x/8=9/8

x=9/8

Answer:

5x+4y = 52

Step-by-step explanation:

We can first write the equation in point slope form

y-y1 = m(x-x1) where m is the slope and (x1,y1) is the point

y - 8 = -5/4 ( x-4)

Multiply each side by 4 to get rid of the fraction

4(y - 8) = 4*(-5/4) ( x-4)

4(y - 8) = -5 ( x-4)

Distribute

4y - 32 = -5x+20

We want the equation in the form

Ax + By = C

Add 5x to each side

5x+4y -32 = -5x+5x+20

Add 32 to each side

5x+4y -32+32 =32+20

5x+4y = 52

Applying the distributive property and precedence of operations, the results to each side of the expression is of 2/5, hence they property holds.

The left-hand side of the expression is defined as follows:

2/5(4/3-1/3)

Applying the distributive property, 2/5 multiplies each term as follows:

2/5(4/3-1/3) = 8/15 - 2/15

(multiplication of fractions -> multiply numerators and denominators with themselves).

They have common denominator, then the subtraction of the fractions is calculated as follows:

2/5(4/3-1/3) = 8/15 - 2/15 = 6/15

6 and 15 are divisible by 3, hence the fraction is simplified as follows:

6/15 = 2/5.

The right-hand side of the expression is given as follows:

2/5 x 4/3 - 2/5 x 1/3

We have two operations, subtraction and multiplication. The multiplication has higher precedence, hence:

2/5 x 4/3 - 2/5 x 1/3 = 8/15 - 2/15

Then the procedure is the same as the left-hand side, obtaining an equal result, and so the distributive property holds.

2/5(4/3-1/3)=2/5*4/3-2/5*1/3

We need to solve:

Learn more about the Distributive Property at https://brainly.com/question/2807928

#SPJ1

If one half-life of U-236 is 23 million years then it will take 45.5 or approximately 46 million years to decay. Then the correct option is A.

Half-life is the time interval that is needed to decay the atomic nuclei of a radioactive sample.

A sample contains 16.75 g of the radioisotope U-236 and 50.25 g of its daughter isotope, Th-232.

Initially, the whole sample is consisting the radioisotope. Then the initial total mass will be

m₀ = 16.75 + 50.25

m₀ = 67 g

Now we also know that the half-life is 23 million years. Then we have

\(m = m_oe^{- \lambda t}\)

Then put the value

\(\begin{aligned} 16.75 &= 67 e^{- \lambda t}\\\\0.254 &= e^{- \lambda t}\\\\\lambda t &= 1.37\\\\\dfrac{ln2}{23 \rm \ million \ years } \times t &= 1.37\\\\t &= 45.5 \ \rm million\ years \end{aligned}\)

If one half-life of U-236 is 23 million years then it will take 45.5 or approximately 46 million years to decay. Then the correct option is A.

More about the half-life link is given below.

https://brainly.com/question/24710827

Answer:

a. 46 million years

Step-by-step explanation:

Answer:

see explanation

Step-by-step explanation:

Using the rules of exponents

\(a^{m}\) × \(a^{n}\) = \(a^{(m+n)}\)

\(a^{m}\) ÷ \(a^{n}\) = \(a^{(m-n)}\)

(a)

\(4^{9}\) × 4³ = \(4^{(9+3)}\) = \(4^{12}\)

(b)

\(6^{5}\) × 6² = \(6^{(5+2)}\) = \(6^{7}\)

(c)

\(8^{6}\) ÷ 8 = \(8^{(6-1)}\) = \(8^{5}\)

(d)

\(7^{8}\) ÷ \(7^{6}\) = \(7^{(8-6)}\) = 7²

Answer:

(x+4)(3x-2)(x+1)

Step-by-step explanation:

Answer:

-10x +25

Step-by-step explanation:

–5(2x – 5)

Distribute

-5 * 2x - (-5) * 5

-10x +25

Answer:

-10x + 25

Step-by-step explanation:

-5(2x - 5)

Distribute the expression

-5(2x) + 5(5)

Multiply

-10x + 25

The expression cannot be simplified further

Hope this helps :)