a box of laundry detergent shaped like a rectangular prism has a base measuring 2 inches by 6.12 inches, and a height that measures 812 inches. The volume of TWO boxes of laundry detergent is ______ inches cubed.

Answer:

3, 7, 11, 15, 19 is an arithmetic sequence

Step-by-step explanation:

they go up by 4

Answer:

You would not subtract 3...

Step-by-step explanation:

It should be

2x- 8= 5x+3

subtract 5x from both sides,

then add 8 onto both sides, then you would get 0 on one side, and 11 on the other so you would have

-3=11 which equals

3.6

Answer

add 8

Step-by-step explanation:

Answer:

4/3(r-0.5)^3*pi

Step-by-step explanation:

Let's say that the orange is a perfect sphere.

Radius=r

4/3(r-0.5)^3*pi=area

Answer:

$450. The amount Antonio bought the tv for was $450.

Step-by-step explanation:

If all the tv's are 30%, multiple 30 by the price of the tv he wants, giving you 45000. Then, divide by 100 because a percent is out of a hundred, giving you $450

Formula:

(30x1500)/100

Answer:

28/5 is the answer.

Step-by-step explanation:

Multiply the denominator by the whole number

5 × 5 = 25 Then we add the answer from the last step to the numerator 25 + 3 = 28 next we write the answer from the last step over the denominator which is 28/5.

\(\huge\text{Hey there!}\)

\(\mathsf{5\dfrac{3}{5}}\\\\\mathsf{= \dfrac{5\times5+3}{5}}\\\\\mathsf{= \dfrac{25 + 3}{5}}\\\\\mathsf{= \dfrac{28}{5}}\\\\\huge\text{Therefore, your answer is: \boxed{\mathsf{\dfrac{28}{5}}}}\huge\checkmark\)

\(\huge\text{Good luck on your assignment \& enjoy your day!}\)

~\(\frak{Amphitrite1040:)}\)

The dilated triangle R'S'T' has the following vertices R' (0, 6), S' (6, 3) and T' (3, 3)

The scale factor for dilation is 3/4

The new coordinates of the vertices after dilation:

Vertex R: (0, 8)

New coordinates:

x-coordinate: (3/4)× 0 = 0

y-coordinate: (3/4) × 8 = 6

So, the new coordinates for vertex R after dilation are (0, 6).

Vertex S: (8, 4)

New coordinates:

x-coordinate: (3/4) × 8 = 6

y-coordinate: (3/4) ×4 = 3

So, the new coordinates for vertex S after dilation are (6, 3).

Vertex T: (4, 4)

New coordinates:

x-coordinate: (3/4) ×4 = 3

y-coordinate: (3/4) ×4 = 3

So, the new coordinates for vertex T after dilation are (3, 3).

Hence, the dilated triangle R'S'T' has the following vertices R' (0, 6), S' (6, 3) and T' (3, 3)

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Answer:

the ratio of boys to the total students is 15:27

Step-by-step explanation:

Since we know there are 15 boys and 12 girls, we can add those to know there are 27 total students. Therefore, the ratio it 15:27

Answer:

15:27

=5:9 (if answer is needed in simplest form)

Step-by-step explanation:

B  :  G   : Total

15 :   12 : 15+12=27

hence boys to total is 15:27

                                    =5:9 (if answer is needed in simplest form)

That is, if \(y_1(x), y_2(x), ..., y_n(x)\)are all solutions of the ODE, then any linear combination of the form \(c_1y_1(x) + c_2y_2(x) + ... + c_n*y_n(x)\) is also a solution of the ODE, where \(c_1, c_2, ..., c_n\) are constants.

True.

This property is known as the superposition principle for linear ODEs, and it arises from the linearity of the differential equation. A linear ODE is an ODE of the form:

\(a_n(x)y^(n) + a_(n-1)(x)y^(n-1) + ... + a_1(x)y' + a_0(x)y = f(x)\)

where y^(k) denotes the k-th derivative of y(x) with respect to x, and \(a_n(x), a_(n-1)(x), ..., a_1(x), a_0(x)\)and f(x) are given functions of x.

Suppose that y1(x) and y2(x) are both solutions of this ODE, so that when we substitute them into the differential equation, we get:

\(a_n(x)y1^(n) + a_(n-1)(x)y1^(n-1) + ... + a_1(x)y1' + a_0(x)y1 = f(x)\)

and

\(a_n(x)y2^(n) + a_(n-1)(x)y2^(n-1) + ... + a_1(x)y2' + a_0(x)y2 = f(x)\)

We want to show that any linear combination of y1(x) and y2(x), such as c1y1(x) + c2y2(x) where c1 and c2 are constants, is also a solution of the ODE.

To do this, we substitute the linear combination into the differential equation:

\(a_n(x)(c1y1(x) + c2y2(x))^(n) + a_(n-1)(x)(c1y1(x) + c2y2(x))^(n-1) + ... + a_1(x)(c1y1'(x) + c2y2'(x)) + a_0(x)(c1y1(x) + c2y2(x)) = f(x)\)

Using the linearity of differentiation and the distributive property of multiplication, we can simplify this expression:

\(c1(a_n(x)y1^(n) + a_(n-1)(x)y1^(n-1) + ... + a_1(x)y1' + a_0(x)y1) + c2(a_n(x)y2^(n) + a_(n-1)(x)y2^(n-1) + ... + a_1(x)y2' + a_0(x)y2) = f(x)\)

Since y1(x) and y2(x) satisfy the differential equation individually, the expressions in parentheses on the left-hand side are equal to f(x). Therefore, we have shown that the linear combination c1y1(x) + c2y2(x) also satisfies the differential equation, and is therefore a solution of the ODE.

In general, this result extends to any finite linear combination of solutions of the ODE. That is, if y1(x), y2(x), ..., yn(x) are all solutions of the ODE, then any linear combination of the form c1y1(x) + c2y2(x) + ... + cn*yn(x) is also a solution of the ODE, where c1, c2, ..., cn are constants.

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The given numbers in scientific notation with the correct number of significant digits: a) 123.0CE = 1.230 × 10², b) 0.0000671 = 6.71 × 10⁻⁵, c) 0.0034 = 3.4 × 10⁻³, d) 1430 = 1.43 × 10³, e) 1000.0 = 1.0000 × 10³

a) 123.0CE:

To express this number in scientific notation, we need to move the decimal point until there is only one non-zero digit to the left of it. The number of decimal places we move the decimal point determines the exponent.

123.0CE = 1.230 × 10²

b) 0.0000671:

To express this number in scientific notation, we need to move the decimal point until there is only one non-zero digit to the left of it. The number of decimal places we move the decimal point determines the exponent.

0.0000671 = 6.71 × 10⁻⁵

c) 0.0034:

To express this number in scientific notation, we need to move the decimal point until there is only one non-zero digit to the left of it. The number of decimal places we move the decimal point determines the exponent.

0.0034 = 3.4 × 10⁻³

d) 1430:

To express this number in scientific notation, we need to move the decimal point until there is only one non-zero digit to the left of it. The number of decimal places we move the decimal point determines the exponent.

1430 = 1.43 × 10³

e) 1000.0:

To express this number in scientific notation, we need to move the decimal point until there is only one non-zero digit to the left of it. The number of decimal places we move the decimal point determines the exponent.

1000.0 = 1.0000 × 10³

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By applying the concept of direct and inverse trigonometric functions, the value of x associated with the trigonometric function tan x = 5 is approximately 78.7°.

The complete question is given below:-

Tan x degrees = 5. find the value of x to the nearest tenth

The branch of mathematics sets up a relationship between the sides and the angles of the right-angle triangle is termed trigonometry.

tan x = 5

x = atan 5

x ≈ 78.7°

By applying the concept of direct and inverse trigonometric functions, the value of x associated with the trigonometric function tan x = 5 is approximately 78.7°.

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Answer:

1

Step-by-step explanation:

Anything to the power of 0 is 1, so the answer is 1.

Answer:

12

Step-by-step explanation:

bc u said that every by 12 that is only allow for every by 12 so its 12 ir 4

Answer:

i think its 140m

Step-by-step explanation:

Answer:

the slope of the line is : M1/2

the point on the line is: (1/4)

Step-by-step explanation:

The slope of the line is 1 and the point on the line is (1,4)

The equation of a line in point slope form is expressed as:

y - y1 = m(x-x1)

where

m is the slope

(x1, y1) is the point on the line

Given the equation y – 4 = (x – 1), on comparison,

m = 1

(x1, y1) = (1, 4)

Hence the slope of the line is 1 and the point on the line is (1,4)

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Answer:

\( \large \boxed{y = - 0.5x + 5}\)

Step-by-step explanation:

Goal

Given

Step 1

\( \large{m = \frac{y_2-y_1}{x_2-x_1} }\)

Substitute the coordinate points in

\(m = \frac{3 - 2}{4 - 6} \\ m = \frac{1}{ - 2} \\ m = - \frac{1}{2} \longrightarrow - 0.5 \\ m = - 0.5\)

Step 2

\( \large{y = mx + b}\)

Substitute m = -0.5

\(y = - 0.5x + b\)

Step 3

Substituting both coordinate points still give the same answer.

Step 3.1

\(y = - 0.5x + b \\ 3 = - 0.5(4) + b \\ 3 = - 2.0 + b \\ 3 = - 2 + b \\ 3 + 2 = b \\ 5 = b\)

Step 3.2

\(y = - 0.5 x+ b \\ 2 = - 0.5(6) + b \\ 2 = - 3.0 + b \\ 2 = - 3 + b \\ 2 + 3 = b \\ 5 = b\)

Step 4

\(y = - 0.5x + b\)

Substitute b = 5 in the equation.

\(y = - 0.5x + 5\)

Hence, the equation is y = -0.5x + 5

Answer:

2 + r = 6

Step-by-step explanation:

2 + r = 6

r = 6 - 2 = 4

6 on the left balanced by 2 plus r on the right

Answer:

1000=5x

Step-by-step explanation:

200 tickets

200*5 is 1000. 1000+500 is 1500

Answer:-3 1/24

Step-by-step explanation:

Answer: The answer is A) Players on the basketball team are generally taller than players on the baseball team. This is the most likely conclusion we can draw based on the information given.

Step-by-step explanation:

We know that the interquartile range (IQR) is the range of the middle 50% of the data. So for the basketball team, the heights of 50% of the players lie within the range of 73 ± 2.5 (since the IQR is 5). Similarly, for the baseball team, the heights of 50% of the players lie within the range of 72 ± 3 (since the IQR is 6).

Comparing the medians, we see that the basketball team has a median height of 73, while the baseball team has a median height of 72.

Based on this information, we can conclude that:

A) Players on the basketball team are generally taller than players on the baseball team - this is the most likely answer, as the median height of the basketball team is higher.

B) Players on the baseball team are generally taller than players on the basketball team - this is not supported by the given information.

D) There is less variation in heights on the baseball team than on the basketball team - we cannot determine this based on the given information.

C) Players on the baseball team are generally the same height as players on the basketball team - this is not supported by the given information.

Answer:

See below.

Step-by-step explanation:

5a)

In an isosceles triangle, the angles opposite the congruent sides are congruent.

m<A = 40 deg

m<B = 40 deg

m<A + m<B + m<C = 180

40 + 40 + m<C = 180

m<C = 100 deg

5b)

In a right triangle, one angle is a right angle.

m<A = 40 deg

m<B = 90 deg

m<A + m<B + m<C = 180

40 + 90 + m<C = 180

m<C = 50 deg

The probability of getting 4, 5, or 6 heads is; 65%

The graph attached shows the theoretical probability of getting a given number heads in ten flips of a fair coin.

If this experiment was performed many times you would expect an average of 5 heads.

As from graph it is clear that;

Probability of of 0 & 10 heads are equal and approximately 0.001

Probability of of 1 & 9 heads  are equal and approximately 0.1

Probability of of 2 & 8 head  are equal and approximately 0.45

Probability of of 3 & 7 head  are equal and approximately 0.12

probability of of 4 & 6 head  are equal and approximately 0.2

Probability of 5 will  is approximately 0.25

Thus, the probability of getting 4, 5, or 6 heads is;

P(4, 5, or 6 heads) = 0.2 + 0.25 + 0.2

P(4, 5, or 6 heads) = 0,65 = 65%

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Answer:

c = 48

Step-by-step explanation:

Given c varies directly as a and inversely as b then the equation relating them is

c = \(\frac{ka}{b}\) ← k is the constant of variation

To find k use the condition c = 15 when a = 18 and b = 40 , then

15 = \(\frac{18k}{40}\) ( multiply both sides by 40 )

600 = 18k ( divide both sides by 18 )

\(\frac{600}{18}\) = k

\(\frac{100}{3}\) = k

c = \(\frac{100a}{3b}\) ← equation of variation

When a = 36 and b = 25 , then

c = \(\frac{100(36)}{3(25)}\) = \(\frac{3600}{75}\) = 48

a. The parameter values that describe the distribution of the length of the cylinders are a mean (μ) of 3.25 inches and a standard deviation (σ) of 0.003 inches.

b. The probability density function (PDF) for the length of the cylinders is given by f(x) = (1 / (0.003 * √(2π))) * exp(-(x - 3.25)^2 / (2 * 0.003^2)). This formula represents the likelihood of observing a specific length (x) of the cylinders, assuming a symmetrical, Normally distributed data with a mean of 3.25 inches and a standard deviation of 0.003 inches.

a. The parameter values that describe the distribution of the length of the cylinders are:

Mean (μ): 3.25 inches

Standard deviation (σ): 0.003 inches

b. The probability density function (PDF) of a Normally distributed random variable with a mean of μ and a standard deviation of σ is given by:

f(x) = (1 / (σ * √(2π))) * exp(-(x - μ)^2 / (2σ^2))

In this case, for the length of the cylinders, the PDF would be:

f(x) = (1 / (0.003 * √(2π))) * exp(-(x - 3.25)^2 / (2 * 0.003^2))

This formula represents the probability density function that describes the likelihood of observing a specific length (x) of the cylinders, given the mean and standard deviation of the distribution.

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Hi! here your answer

Answer:

If D≥0, then the roots are real and distinct.

If D=0, then the roots are real and equal.

If D≤0, then no real roots exist

Hope you understood!

Answer:

144 cm³

Step-by-step explanation:

To find the volume of this part, multiply 8 by 5 by 4, then subtract the product of 1 by 4 by 4 from that.

(8 * 5 * 4) - (1 * 4 * 4)

(40 * 4) - 16

160 - 16

144 cm³

The volume of the part is 144 cm³.

Answer: 140cm^3

Step-by-step explanation:

Answer:

\(x=2\sqrt3\ km\)

Step-by-step explanation:

Given that,

The base of a triangle = 2 km

The perpendicular height of the triangle = \(2\sqrt{2} \ km\)

We need to find the value of x. It is the Hypotenuse of the triangle. It can be solved as :

\(x=\sqrt{(2\sqrt{2})^2+2^2 } \\\\=2\sqrt{2+1 } \\\\=2\sqrt3\ km\)

So, the value of x is equal to \(2\sqrt3\ km\).

He started at 118 and climbed 472 feet,

Add how far he climbed to the start value:

118 + 472 = 590 feet

Answer:

+ 354

Step-by-step explanation:

Subtract the final elevation from the first elevation.

Here are the first 10 terms of the Fibonacci sequence:1, 1, 2, 3, 5, 8, 13, 21, 34, 55

Now, let's provide a recursive definition for the Fibonacci sequence:

The Fibonacci sequence can be defined recursively as follows:

F(0) = 1

F(1) = 1

F(n) = F(n-1) + F(n-2) for n ≥ 2

In other words, the first two terms of the sequence are both 1, and each subsequent term is the sum of the previous two terms.

This recursive definition allows us to generate the Fibonacci sequence by repeatedly applying the recurrence relation. For example, using this definition, we can find that F(2) = F(1) + F(0) = 1 + 1 = 2, F(3) = F(2) + F(1) = 2 + 1 = 3, and so on.

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