Rectangles ABCD and DEFG are congruent. AB = 6cm AD = 19cm Work out the length of CE

The ways that the exercise can be expressed such that for every 6 squares there are 3 circles include:

This question is asked in Spanish on an English site so the answer will be provided in English for better learning by other students.

The ratio of squares to circles is 6:3 or simplified, 2:1. This means for every 2 squares, there is 1 circle.

You could also use a proportional statement such that the number of squares is twice the number of circles. For every 6 squares, there are 3 circles.

There is also equation form where we can say, if S is the number of squares and C is the number of circles, the relationship could be expressed as S = 2C. This means the number of squares is twice the number of circles.

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The translated question is:

How to express this exercise for every 6 squares there are 3 circles.

The domain of a linear transformation is the set of all possible input vectors that can be operated on by the transformation, and in this case, T is defined for input vectors with three components (x1, x2, x3), indicating that the domain of T is R3, the three-dimensional real coordinate space.

The domain of T is R3.

Given that A is an m x n matrix, where m > n, and Ax = 0 does not have a non-trivial solution, we can determine the number of pivot columns in matrix A.
Understand the conditions
Since Ax = 0 does not have a non-trivial solution, it means that the only solution is the trivial solution (x = 0).

This implies that the columns of A are linearly independent.
Determine the number of pivot columns
Since the columns of A are linearly independent, the number of pivot columns in A will be equal to the number of columns in A.

Since A has more rows than columns, it cannot have full column rank (i.e., n pivot columns), and therefore it has at most n-1 pivot columns.

If Ax=0 does not have a non-trivial solution, then the null space of A is trivial, meaning that the only solution to Ax=0 is the zero vector.

By the rank-nullity theorem, we know that the dimension of the null space of A is n minus the rank of A.

Since the null space is trivial, its dimension is zero, which means that the rank of A is n.

Therefore, A has exactly n pivot columns, which is the maximum possible given that m>n.

These n pivot columns correspond to linearly independent columns of A, and their existence ensures that Ax=0 has only the trivial solution.

Matrix A has n pivot columns.

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Answer:

Step-by-step explanation:

If the line is perpendicular to y = -2x + 5 then the new line has a slope of 1/2.

So solve for b: using y = mx + b

2 = 1/2(-4) + b

2 = -2 + b

4 = b

Put it all together

y = 1/2x + 4

Answer:

502.4 cubic unit

Step-by-step explanation:

Given data

The parameter for the cylinder is as follows

Height h= 10units

Radius r= 4 units

We know that the expression for the volume of a cylinder is

V= πr^2h

substitute

V= 3.14*4^2*10

V= 3.14*16*10

V= 502.4 cubic unit

Hence the volume is  502.4 cubic unit

Which flaw most accurately illustrates the graphed function's domain?

The inequality most accurately depicts the part's intended domain, which should be -9<x ≤2.

Domain here refers to the x change. The values of with regard to function should be the domain in this case. Additionally, we need to pay attention to the blank line that starts at -9 to 2 in x values.

Since 9 should not be filled however 2 should be.

Therefore, The inequality most accurately depicts the part's intended domain, which should be -9<x ≤2.

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Answer:

A: 37 degrees B: 49 degrees C: 57 degrees hope this helps

Answer:

Step-by-step explanation:

Use the property of angle bisector:

Using the above and the diagram we can see:

and

Also we have:

From the first equation we find:

And from the second equation we get:

Substitute b in the third equation:

Then, find b:

we know angles A and B are supplementary, thus their sum is 180°.

\(\stackrel{\measuredangle A}{(2x+26)}~~ + ~~\stackrel{\measuredangle B}{(x+25)}~~ = ~~180\implies 3x+51=180\implies 3x=129\\\\\\x=\cfrac{129}{3}\implies x=43~\hspace{10em}\stackrel{\measuredangle B = 43 + 25}{68}\)

The measure of angle m∠B = 112°

The supplementary angles are defined as when pairing of angles addition to 180° then they are called supplementary angles. There are two types of supplementary angles.

Supplementary angles have a sum of 180°

Therefore, we can add the expressions for Angles A and B and set their sum equal to 180.

( 2x+26 ) + ( x+25 ) = 180

Now we can combine like terms and apply the operations to find the value of x:

⇒ ( 2x+26 ) + ( x+25 ) = 180

⇒ 3x + 51 = 180

⇒ 3x  = 180 - 51

⇒ 3x  = 129

⇒ x = 129/3

⇒ x = 43

Then Angle B will have a measure of x+25 = 43 + 25 = 68°

m∠ B = 112°

The measure of Angle A will be :2x+26  = 2(43) + 26 = 112°

m∠A = 68°

Thus, the measure of angle m∠B = 112°

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The p-value of the test claim is calculated as; p < 0.00001.

The z-score between two samples is expressed as;

z =  (x₁ – x₂)/√(σ₁²/n₁) + (σ₂²/n₂)

The parameters given are;

Sample mean 1: x₁ = 23.38

Sample mean 2: x₂ = 18.69

Sample standard deviation 1: σ₁ = ?

Sample standard deviation 2: σ₂ = ?

Sample size 1: n₁ = 40

Sample size 2: n₂ = 35

standard error = sample standard deviation /√(sample size)

σ₁ = 23.38/√40

σ₁ = 3.697

σ₂ = 18.69/√35

σ₂ =  3.159

Thus;

z = (23.38 – 18.69)/√(3.697²/40) + (3.159²/35)

z = (23.38 – 18.69)/0.792

z = 5.92

From online p-value from z-score calculator, p < 0.00001.

Thus, the p-value is less than the significance value and the results are significant and alternate hypothesis is accepted.

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The value of the Nintendo after 35 years is $2455

Since the formula f(x) = 3x² - 40x + 180 predicts the value of the Nintendo x years after 1986.

Since we require the value in 2021, x years after 1986 is 2021 - 1986 = 35 years.

Substituting x = 35 into the equation, we have

f(x) = 3x² - 40x + 180

f(x) = 3(35)² - 40(35) + 180

f(x) = 3(1225) - 40(35) + 180

f(x) = 3675 - 1400 + 180

f(x) = 2275 + 180

f(x) = 2455

So, the value of the Nintendo after 35 years is $2455

Do you think this is a realistic prediction of the value of that Nintendo?

This is not a realistic prediction for the value of the Nintendo, because, it is too high.

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The function f(x) that satisfies \(f ''(x) = 4/5(x^{(4/5)})\) is: f(x) =\((2/45) x^{(14/5)} + C_1 \times x + C_2\)

Integration is a fundamental concept in calculus, which involves finding the antiderivative or the integral of a given function. The antiderivative of a function is the function whose derivative is the original function. Integration is often used to solve problems in physics, engineering, economics, and many other fields.

To find f, we need to integrate the given function twice.

First, we integrate\(f ''(x) = 4/5(x^{(4/5)})\)with respect to x to find f '(x):

f '(x) = ∫ \((4/5)(x^{(4/5)}) dx = (4/5)\times (5/9)\times x^{(9/5)} + C_1 = (4/9) x^{(9/5)} + C_1\)

where \(C_1\)is a constant of integration.

Next, we integrate f '(x) to find f(x):

f(x) = ∫\([(4/9) x^{(9/5)} + C_1] dx = (4/9)\times (5/14) \times x^{(14/5)} + C_1 \times x + C_2\)

=\((2/45) x^{(14/5)} + C_1 \times x + C_2\)

where \(C_2\) is another constant of integration

Therefore, the function f(x) that satisfies \(f ''(x) = 4/5(x^{(4/5)) }\)is:

\(f(x) = (2/45) x^{(14/5) }+ C_1 \times x + C_2.\)

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Step-by-step explanation:

y is a corresponding angle to the 35 degree angle so  y = 35°

'x' + the 35 degree angle form a straight line = 180 degrees

x + 35 = 180

x = 145°  

Format your answer as needed

The three major chords built on white notes without accidentals are:

1. C major chord (C, E, G)

2. F major chord (F, A, C)

3. G major chord (G, B, D)

These chords are formed by taking the root note, skipping one white note, and adding the next white note on top. For example, in the C major chord, the notes C, E, and G are played together to create a harmonious sound.

Similarly, the F major chord is formed by playing F, A, and C, and the G major chord is formed by playing G, B, and D. These three major chords are commonly used in various musical compositions and are fundamental building blocks in music theory.

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Answer:

is B

Step-by-step explanation:

1.A catheter at an angle of 30 ° is equal to half of the hypotenuse.

M = A + |B| is the function's highest possible value. When sin or cos x equals 1, this maximum value is reached. m = A |B| is the function's lowest possible value. If either cos x or sin x is equal to 1, this minimum will be reached.

Example :

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Answer:

a ball bouncing off a wall

Step-by-step explanation:

Answer:

At the equinoxes, the sun rises directly east and sets directly west regardless of the latitude, thus making the azimuth angles 90° at sunrise and 270° at sunset. ... The azimuth angle is like a compass direction with North = 0° and South = 180°.

Step-by-step explanation:

To find the implicit solution for dy/dx = x^2/(1-y^2), we can start by separating the variables and integrating both sides.

dy/(1-y^2) = x^2 dx

To integrate the left-hand side, we can use partial fractions:

dy/(1-y^2) = (1/2) * (1/(1+y) + 1/(1-y)) dy

Integrating both sides, we get:

(1/2) * ln|1+y| - (1/2) * ln|1-y| = (1/3) * x^3 + C

Where C is the constant of integration.

We can simplify this expression by combining the natural logs:

ln|1+y| - ln|1-y| = (2/3) * x^3 + C'

Where C' is a new constant of integration.

Finally, we can use the logarithmic identity ln(a) - ln(b) = ln(a/b) to get the implicit solution:

ln|(1+y)/(1-y)| = (2/3) * x^3 + C''

Where C'' is a final constant of integration.

Therefore, the implicit solution for dy/dx = x^2/(1-y^2) is ln|(1+y)/(1-y)| = (2/3) * x^3 + C''.

Given the differential equation:

dy/dx = x^2 / (1 - y^2)

To find an implicit solution, we can use separation of variables. Rearrange the equation to separate the variables x and y:

(1 - y^2) dy = x^2 dx

Now, integrate both sides with respect to their respective variables:

∫(1 - y^2) dy = ∫x^2 dx

The result of the integrations is:

y - (1/3)y^3 = (1/3)x^3 + C

This is the implicit solution to the given differential equation, where C is the integration constant.

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Answer:

11

Step-by-step explanation:

6^2 = 6 x 6 = 36

5^2 = 5 x 5 = 25

36 - 25 = 11

Step-by-step explanation:

everything can be found in the picture above

Answer:

x = 2

Step-by-step explanation:

note that 4096 = \(8^{4}\) , then

\(8^{2x}\) = \(8^{4}\)

Since bases on both sides are equal, both 8 , then equate the exponents

2x = 4 ( divide both sides by 2 )

x = 2

Answer:

x = 2

Step-by-step explanation:

\(8^{2x} = 4096\)

Step 1 :- Write 4096 in the exponential form with the base of 8.

\(8^{2x} = 8^4 \)

Step 2 :- Since the base of both equation is same , set the exponents equal.

2x = 4

Step 3 :- Divide both side by 2

\({2x}{2} = \frac{4 }{2}\)

x = 2

The exercise involves calculations with matrices A, B, and C. We need to determine if matrix products AB, BA, BC, and CB are defined. Additionally, we need to calculate the specific matrix products and determine if BC is equal to CB.

Let's perform the calculations step by step:

(a) To determine if AB is defined, we need to check if the number of columns in matrix A is equal to the number of rows in matrix B. If they are equal, the matrix product AB is defined. If not, the product is not defined.

Matrix A has 2 columns and matrix B has 2 rows, so the product AB is defined.

Calculating AB:

AB = [23 + 83 20 + 88]

[23 + 03 20 + 08]

= [30 64]

[6 0]

To calculate BA, we need to check if the number of columns in matrix B is equal to the number of rows in matrix A. In this case, matrix B has 2 columns and matrix A has 2 rows, so the product BA is also defined.

Calculating BA:

BA = [32 + 02 38 + 02]

[32 + 02 38 + 02]

= [6 24]

[6 24]

(b) To determine if BC is defined, we need to check if the number of columns in matrix B is equal to the number of rows in matrix C. In this case, both matrices have 2 columns and 2 rows, so the product BC is defined.

Calculating BC:

BC = [26 + 85 23 + 81]

[06 + 05 03 + 01]

= [52 22]

[0 0]

To calculate CB, we need to check if the number of columns in matrix C is equal to the number of rows in matrix B. In this case, matrix C has 2 columns and matrix B has 2 rows, so the product CB is also defined.

Calculating CB:

CB = [62 + 30 68 + 30]

[52 + 10 58 + 10]

= [12 48]

[10 40]

Is it true that BC = CB?

BC = [52 22]

[0 0]

CB = [12 48]

[10 40]

BC and CB are not equal. The matrix product is not commutative, so BC and CB may yield different results.

In summary:

(a) AB is defined and the result is:

AB = [30 64]

[6 0]

BA is also defined and the result is:

BA = [6 24]

[6 24]

(b) BC is defined and the result is:

BC = [52 22]

[0 0]

CB is also defined and the result is:

CB = [12 48]

[10 40]

BC and CB are not equal, indicating that matrix multiplication is not commutative.

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She combine with the other two to make 3-ounce pieces of jewelry worth $438 each is 0.75 ounces.

Let's define some variables:

g = ounces of gold per piece

s = ounces of silver per piece

x = ounces of other alloy per piece

There's twice as much gold as there is silver, so:

g = 2s

The total weight of the piece is 3 ounces, so:

g + s + x = 3

The total cost is $438, so:

160g + 140s + 124x = 438

Three equations, three variables.  We can solve the system of equations.  If we substitute the first equation into the second:

2s + s + x = 3

3s + x = 3

x = 3 − 3s

If we substitute this new equation and the first equation into the third equation:

160 (2s) + 140s + 124 (3 − 3s) = 438

320s + 140s + 372 − 372s = 438

88s = 66

s = 0.75

Now solve for g and x:

g = 2s = 1.5

x = 3 − 3s = 0.75

Therefore, the amount of alloy equals the amount of silver.  The jeweler has 10 ounces of silver, so she needs 10 ounces of alloy.

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Two standards $6$-sided dice are rolled. The probability that the sum rolled is a perfect square 7/36.

Likelihood is the part of math concerning mathematical portrayals of how likely an occasion is to happen, or how likely it is that a suggestion is valid. Likelihood is the part of science concerning mathematical depictions of how likely an occasion is to happen, or how likely it is that a recommendation is valid. Likelihood and measurements, the parts of science worried about the regulations administering arbitrary occasions, including the assortment, investigation, understanding, and show of mathematical information. While calculation and variable based math were concentrated on by old Greek mathematicians over long time back, the ideas of likelihood just arose in the seventeenth and eighteenth 100 years.

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The main function of the female reproductive system is to allowing a person to have sexual intercourse, it also helps a person reproduce.

Both internal and exterior organs make up the female reproductive system. It is in charge of hormone production, menstruation, and sexual activity.

The physical parts that assist women or those who were assigned female at birth (AFAB) are the female reproductive system:

Have a sexual encounter.

Reproduce.

Menstruate.

The female reproductive system serves a number of purposes. It aids in sexual reproduction in addition to enabling sexual activity.

You make eggs using your ovaries. During ovulation, these eggs are subsequently moved to your fallopian tube where sperm fertilisation may take place. The fertilised egg is then transferred to your uterus, where the lining has expanded due to the regular hormones produced during your menstrual cycle (also called your reproductive cycle).

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The reproductive system of a woman performs three primary tasks: releasing eggs that may be fertilized by sperm; (ii) producing female sex hormones including progesterone and oestrogen; and (iii) creating a favorable environment for the development of a fertilized egg during pregnancy.

The female reproductive system is made up of both internal and external organs. Menstruation, sexual activity, and hormone production are all under its control.

The female reproductive system is one of the physical components that helps women or people who were given that gender at birth (AFAB):

Engage in sexual activity.

Reproduce.

Menstruate.

There are many uses for the female reproductive system. Along with permitting sexual activity, it also promotes sexual reproduction.

A woman's reproductive system primarily serves to: I release eggs that may be fertilized by sperm; (ii) produce female sex hormones like progesterone and oestrogen; (iii) create an environment for a fertilized egg to develop throughout pregnancy; and (iv) facilitate labor and childbirth.

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Ex

Answer:

$885.01

Step-by-step explanation:

Answer:

$885.51

Step-by-step explanation:

$835.50-$13.29= $822.21

-The first step is to subtract the deduction. Deduction always means subtract.

$822.21+$34.35= $856.56

-Once you get the new total by subtracting the deduction, you have to add the bonus. Bonus always means add.

$856.56+$28.95= $885.51

-Finally, when you work overtime at a job, your employer is required by law to pay you extra. Add the overtime and get the final total of $885.51.

If 4 vertices of a "regular-tetrahedron" are snipped off which leaves a "triangular-face" in place of each corner, then there will be 18 edges in the new polyhedron.

If we snip off the 4 vertices of a "regular-tetrahedron", leaving a triangular face in place of each corner and a hexagonal-face in place of each original face of the tetrahedron,

We get a truncated tetrahedron.

we know that a truncated-tetrahedron has ⇒ four regular "hexagonal-faces", four equilateral "triangular-faces", 12 vertices and 18 edges.

Therefore, the new polyhedron will have 18 edges.

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It will take 60 hours for the inlet and drainpipe to fill and empty the tank simultaneously, since they work at different rates.

To solve this problem, we need to determine the rate of each pipe and then find the combined rate when both pipes are working together. The inlet pipe can fill the tank in 10 hours, so its rate is 1/10 of the tank per hour. The drainpipe empties the tank in 12 hours, so its rate is 1/12 of the tank per hour. When both pipes work together, their combined rate is (1/10 - 1/12) of the tank per hour. To find the time needed, take the reciprocal of their combined rate: 1 / (1/10 - 1/12) = 60 hours.

When both the inlet and drainpipe work together, it takes 60 hours for the tank to be filled and emptied.

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The conversion factor to convert cm/s to m/min is 3 / 5, it is gained by applying the knowledge of conversion of units to the given problem.

What do you mean by conversion of units?

Conversion of units deals with the method of converting a set of values given in a unit to another unit without changing its numerical value. Conversion can take place in both ways, from lower to higher units and vice-versa.

Calculation of the conversion factor to convert cm/s to m/min

We know that,

1 m = 100 cm

1 min = 60 s

To convert cm/s to m/min, we have

= 18 / (100 / 60)

= (18 × 3) / 5

= 54 / 5

= 10.8 m/min

Hence, the conversion factor used to convert cm/s to m/min is 3 / 5.

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the answer is A because to be honest im writing this so it will show me the right naswer but it should be A