Maria spends 9/10 juan spends 2/6 how much more did maria spend then juan

Answer:

it's 0.25 for the first one

The true statement based on the relationship depicted in the Venn diagram is that no rhombuses are trapezoids (option D).

To identify the true statement using the relationship represented in the Venn diagram, we need to analyze the overlapping regions and the properties of the shapes involved.

A trapezoid is a quadrilateral with at least one pair of parallel sides, while a rhombus is a quadrilateral with all sides of equal length. Let's evaluate the options:

A. All trapezoids are rhombuses: This statement is not true based on the diagram. The overlapping region between the trapezoids and rhombuses shows that there are trapezoids that are not rhombuses. Therefore, option A is incorrect.

B. All rhombuses are trapezoids: This statement is true based on the diagram. The entire region representing rhombuses is also included within the region representing trapezoids. Every rhombus can be considered a trapezoid because it has at least one pair of parallel sides. Thus, option B is correct.

C. No trapezoids are rhombuses: This statement is not true based on the diagram. The overlapping region indicates that there are trapezoids that are indeed rhombuses. Therefore, option C is incorrect.

D. No rhombuses are trapezoids: This statement is true based on the diagram. There is no overlap between the regions representing rhombuses and trapezoids, implying that no rhombus can be considered a trapezoid. Hence, option D is correct.

for such more question on trapezoids

https://brainly.com/question/22351006

#SPJ8

The expansion of the function \((3x - 4)^4\) simplifies to \(81x^4 - 432x^3 + 864x^2 - 768x + 256.\)

To expand the function \(f(x) = (3x - 4)^4\), we can use the binomial theorem. According to the binomial theorem, for any real numbers a and b and a positive integer n, the expansion of \((a + b)^n\) can be written as:

\((a + b)^n = C(n, 0)a^n b^0 + C(n, 1)a^{(n-1)} b^1 + C(n, 2)a^{(n-2)} b^2 + ... + C(n, n-1)a^1 b^{(n-1)} + C(n, n)a^0 b^n\)

where C(n, k) represents the binomial coefficient, which is given by C(n, k) = n! / (k!(n-k)!).

Applying this formula to our function \(f(x) = (3x - 4)^4\), we have:

\(f(x) = C(4, 0)(3x)^4 (-4)^0 + C(4, 1)(3x)^3 (-4)^1 + C(4, 2)(3x)^2 (-4)^2 + C(4, 3)(3x)^1 (-4)^3 + C(4, 4)(3x)^0 (-4)^4\)

Simplifying each term, we get:

\(f(x) = 81x^4 + (-432x^3) + 864x^2 + (-768x) + 256\)

Therefore, the expanded form of the function \(f(x) = (3x - 4)^4\) is \(81x^4 - 432x^3 + 864x^2 - 768x + 256\).

Note that the coefficient of \(x^3\) is -432, the coefficient of \(x^2\) is 864, the coefficient of x is -768, and the constant term is 256.

For more question on function visit:

https://brainly.com/question/11624077

#SPJ8

Note the complete question is

Answer:

eye eye eye eye eye eye eye eye eye eye eye

A rectangular tabletop will be made of maple wood that weighs 43 pounds per cubic foot. The weight of the tabletop, in pounds, is 1032.

The volume of the rectangular tabletop is the product of the length, breadth, and height of the given tabletop.

Volume of rectangular tabletop= (length x width x height)

The tabletop will have a length of eight feet, a width of three feet, and a thickness of one inch.

Volume of rectangular tabletop= (length x width x height)

                                                 = \(8 \times 3 \times 1\\\\24\)

A rectangular tabletop will be made of maple wood that weighs 43 pounds per cubic foot.

The weight of the tabletop, in pounds = 43 x 24

                                                              = 1032 pounds

Learn more about rectangular tabletop;

https://brainly.com/question/15843335

#SPJ1

After factoring the given expression which is -2bk² - 4bk + 30b, we get -2b(k + 5)(k - 3). So, the correct answer is (a) .

To factor the expression -2bk² - 4bk + 30b, we first need to factor out the greatest common factor of -2b.

-2b(k² + 2k - 15)

Next, we need to factor the quadratic expression k² + 2k - 15.

We can find two numbers that multiply to -15 and add up to 2 by using trial and error or by using the quadratic formula. The two numbers are 3 and -5.

Therefore, we can write:

-2b(k + 5)(k - 3)

Therefore, the correct answer is (a) -2b(k + 5)(k - 3).

To learn more about factor click on,

https://brainly.com/question/15540679

#SPJ1

The subsets of the set {e, n, t} are given as follows:

{{}, {e}, {n}, {t}, {e,n}, {e,t}, {n,t}, {e,n,t}}.

Considering a set with n elements, the number of subsets in the set is the nth power of 2, that is:

\(2^n\)

The set for this problem is given as follows:

{e, n, t}

The cardinality is given as follows:

n = 3.

Hence the number of subsets is given as follows:

2³ = 8.

The subsets are given as follows:

{{}, {e}, {n}, {t}, {e,n}, {e,t}, {n,t}, {e,n,t}}.

In which {} is the empty set.

More can be learned about the subsets of a set at brainly.com/question/13458417

#SPJ1

Height be h

\(\\ \rm\Rrightarrow tan\Theta=\dfrac{Perpendicular}{Base}\)

\(\\ \rm\Rrightarrow tan54=\dfrac{h}{60}\)

\(\\ \rm\Rrightarrow h=60tan54\)

\(\\ \rm\Rrightarrow h=82.6\approx 83m\)

Answer:

83 m  (nearest metre)

Step-by-step explanation:

This can be modeled as a right triangle, where the base is 60 m and the height is the height of the building.

Alternate Interior Angles Theorem (Z-angles)

If a line intersects a set of parallel lines in the same plane at two distinct points, the alternate interior angles that are formed are congruent.

Using the Alternate Interior Angles theorem, the angle between the ground and the dashed line (angle of elevation) is 54°.

Tan trigonometric ratio

\(\sf \tan(\theta)=\dfrac{O}{A}\)

where:

Given:

Substituting the given values into the formula and solving for h:

\(\implies \sf \tan(54^{\circ})=\dfrac{h}{60}\)

\(\implies \sf h=60 \tan(54^{\circ})\)

\(\implies \sf h=82.58291523...\)

\(\implies \sf h=83\:\:m\:(nearest\:metre)\)

Answer:

A

Step-by-step explanation:

To find an inverse function you switch f(x) and x, and solve for f(x) (in this case you also rename it to g(x) )

inverse of y=(x-4)/5  is  

5x =  x -4

x = 5x + 4  so A works

Answer:

43.6 has 3 significant figures.

As a result, when the camera and the rocket are 4255 feet apart, the rate  trigonometry of change in the angle of elevation after launch is roughly -0.15807 radians/foot.

Trigonometry is the field of mathematics that explores the connection between triangle side lengths and angles. The issue first originated in the Hellenistic era, during the third century BC, as a result of the use of geometry in astronomical investigations. The subject of mathematics known as exact techniques is concerned with certain trigonometric functions and their possible applications in calculations. Trigonometry contains six commonly used trigonometric functions. Their separate names and acronyms are sine, cosine, tangent, cotangent, secant, and cosecant (csc). Trigonometry is the study of triangle characteristics, particularly those of right triangles. As a result, geometry is the study of the properties of all geometric forms.

Where is the camera's angle of elevation and c is the rocket's height above ground level.

We may express the angle of elevation using the given formula as:

r θ = tan⁻¹(c/2000)

c2 + x2 = d2, where d = 4255 ft 2c(dc/dx) + 2x = 0, and dc/dx = -x/c.

When we multiply c by 2000 tan() and x by (d2 - 20002) (since x is the horizontal distance between the camera and the rocket), we get: dc/dx = -(d2 - 20002) / (2000 tan())

tan1(0.02d/2000) = tan1(d/100000)

dc/dx = -(d2 - 20002) / (2000 tan(tan1(d/100000)) = -(d2 - 20002) / (2000 tan(tan1(d/100000)) = -0.005(d2 - 20002) / d

dc/dx = -0.005(42552 - 20002) / 4255 -0.15807 radians per foot

As a result, when the camera and the rocket are 4255 feet apart, the rate of change in the angle of elevation after launch is roughly -0.15807 radians/foot.

To know more about trigonometry visit:

https://brainly.com/question/29002217

#SPJ1

Answer:

A

Step-by-step explanation:

To solve the equation 7x-3(x-6)=30, we need to use the distributive property to simplify the left-hand side of the equation:

7x - 3(x-6) = 30

7x - 3x + 18 = 30

4x + 18 = 30

Next, we need to isolate the variable term on one side of the equation. To do this, we can subtract 18 from both sides:

4x + 18 - 18 = 30 - 18

4x = 12

Finally, we can solve for x by dividing both sides by 4:

4x/4 = 12/4

x = 3

Therefore, the solution to the equation 7x-3(x-6)=30 is x = 3. Answer A is correct.

The only matrix that is certainly symmetric is a)\((a^2 - b^2).\)

We know that a matrix A is symmetric if it is equal to its transpose, that is \(A = A^T.\)

a) \((a^2 - b^2)\)

We can write the transpose of this matrix as

\((a^2 - b^2)^T = (a^2)^T - (b^2)^T = a^2 - b^2\), which is equal to the original matrix. Therefore, this matrix is symmetric.

b) (A+B)(A-B)

Expanding this expression, we get \((A+B)(A-B) = A^2 - AB + BA - B^2.\)

Taking the transpose of this, we get \((A^2)^T - (AB)^T + (BA)^T - (B^2)^T = A^2 - BA + AB - B^2.\)

Since AB and BA may not be equal, we cannot say for certain that this matrix is symmetric.

c) ABA

Taking the transpose of this matrix, we get\((ABA)^T = A^T B^T A^T\). Since \(A^T and B^T\) may not commute, we cannot say for certain that this matrix is symmetric.

d) ABAB

Taking the transpose of this matrix, we get \((ABAB)^T = B^T A^T B^T A^T\). Again, since \(A^T and B^T\) may not commute, we cannot say for certain that this matrix is symmetric.

Therefore, the only matrix that is certainly symmetric is a) \((a^2 - b^2).\)

for such more question on matrix

https://brainly.com/question/25581637

#SPJ11

Answer:

Step-by-step explanation:

237 + 462 ~ 200 + 500 = 700

462 is rounded to hundred. ten's place 6 is there which is ≥ 5. If it is ≥ 5then add 1 to hundred's place.

462 ` 500

Answer:

y > -19

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Equality Properties

Step-by-step explanation:

Step 1: Define

y + 6 > -13

Step 2: Solve for y

Here we see that any value y greater than -19 would work as a solution to the inequality.

      Statement              Reason

1.      LQ ║NP                  Given

2.     ∠Q ≅ ∠N                 ASA Theorem

3.     ∠L ≅ ∠P                   Alternate Interior Angles

4.    ΔLMQ ~ ΔPMN         ASA Similar Theorem

Similar shapes are enlargements of each other using a scale factor.

All the corresponding angles in the similar shapes are equal and the corresponding lengths are in the same ratio.

The scale factors for length, area and volume are not the same.

From the given diagram,

 Statement              Reason

1.      LQ ║NP                  Given

2.     ∠Q ≅ ∠N                 ASA Theorem

3.     ∠L ≅ ∠P                   Alternate Interior Angles

4.    ΔLMQ ~ ΔPMN         ASA Similar Theorem

To learn more about similarity visit:

brainly.com/question/24214480

#SPJ1

The situations that have a net result of zero are:

The first situation results in a debt of $3 and then payment of $3, which cancels out the debt.

The second situation involves combining three atoms with a total charge of zero (2 atoms with a charge of negative 2, and 1 atom with a charge of positive 4).

Learn more about net result of zero here:https://brainly.com/question/30202590

#SPJ1

Answer:

Standard form:

y=2x^2-4x-16

Answer:

\(|F'H'| = 2 * |FH|\)

Step-by-step explanation:

Given

\(E = (0,1)\)             \(E' = (-1,2)\)

\(F = (1,1)\)             \(F' = (1,2)\)

\(G = (2,0)\)             \(G' =(3,0)\)

\(H = (0,0)\)            \(H' = (-1,0)\)

\((x,y) = (1,0)\) -- center

\(k = 2\) --- scale factor

See comment for proper format of question

Required

Compare FH to F'H'

From the question, we understand that the scale of dilation from EFGH to E'F'G'H is 2;

Irrespective of the center of dilation, the distance between corresponding segment will maintain the scale of dilation.

i.e.

\(|F'H'| = k * |FH|\)

\(|F'H'| = 2 * |FH|\)

To prove this;

Calculate distance of segments FH and F'H' using:

\(d = \sqrt{(x_1 - x_2)^2 + (y_1 - y_2)^2}\)

Given that:

\(F = (1,1)\)             \(F' = (1,2)\)

\(H = (0,0)\)            \(H' = (-1,0)\)

We have:

\(FH = \sqrt{(1- 0)^2 + (1- 0)^2}\)

\(FH = \sqrt{(1)^2 + (1)^2}\)

\(FH = \sqrt{1 + 1}\)

\(FH = \sqrt{2}\)

Similarly;

\(F'H' = \sqrt{(1 --1)^2 + (2 -0)^2}\)

\(F'H' = \sqrt{(2)^2 + (2)^2}\)

Distribute

\(F'H' = \sqrt{(2)^2(1 +1)}\)

\(F'H' = \sqrt{(2)^2*2}\)

Split

\(F'H' = \sqrt{(2)^2} *\sqrt{2}\)

\(F'H' = 2 *\sqrt{2}\)

\(F'H' = 2\sqrt{2}\)

Recall that:

\(|F'H'| = 2 * |FH|\)

So, we have:

\(2\sqrt 2 = 2 * \sqrt 2\)

\(2\sqrt 2 = 2\sqrt 2\) --- true

Hence, the dilation relationship between FH and F'H' is::

\(|F'H'| = 2 * |FH|\)

Answer:NOTT !!  A segment in the image has the same length as its corresponding segment in the pre-image.

Step-by-step explanation:

Answer:

O a=0

Step-by-step explanation:

Answer:

13.7

Step-by-step explanation:

by using tan(angle)=opposite/adjacent

tan(58)=22/x

The triangle is Obtuse and scalene , Option C is the correct answer.

A triangle is a polygon with three sides , three angles and three vertices.

A triangle can be classified as Acute , Right or Obtuse on the basis of the angle in a Triangle .

and it is classified as scalene , equilateral and isosceles on the basis of the length of the sides of a triangle.

The triangle given in the question has all the sides different , so it is a scalene triangle.

One of the angle is obtuse angle and so it can be classified as a Obtuse Angle Triangle.

Therefore , Option C is the correct answer.

To know more about Triangle

https://brainly.com/question/2773823

#SPJ1

Answer:

right angle

Step-by-step explanation:

Answer:

Kindly check explanation

Step-by-step explanation:

Given the data:

Number of Home alone movies (X)

Watched probability, p(x)

X : ___ 0 ____ 1 ____ 2 ____ 3 ___ 4 ___ 5

P(x) : _0.15 __ 0.42 __0.32 __? ___0.02 _0.01

a. Write the event "the student has seen 3 Home Alone movies" using probability notation. Then find this probability.

P(x = 3)

Since Σp(x) = 1

P(x =3) = 1 - (p(0)+p(1)+p(2)+p(4)+p(5))

P(x = 3) = 1 - (0.15 + 0.42 + 0.32 + 0.02 + 0.01)

P(x = 3) = 1 - 0.92

P(x = 3) = 0.08

b. Explain in words what P(X > 3) means. What is this probability?

P(x > 3) is the probability they a randomly chosen student has watched more than 3 home alone movies.

P(x > 3) = p(4) + p(5)

P( x > 3) = 0.02 + 0.01 = 0.04

d. Calculate and interpret the expected value of X.

E(X) = [Σ(X * p(x)]

(0*0.15) + (1*0.42) + (2*0.32) + (3*0.08) + (4*0.02) + (5*0.01) = 1.43

The avereage number of home alone movies watched is 1.43

Probability distributions are used to represent the probability of events.

The distribution is given as:

\(\mathbf{Homes \to Probability}\)

\(\mathbf{0 \to 0.15}\)

\(\mathbf{1 \to 0.42}\)

\(\mathbf{2 \to 0.32}\)

\(\mathbf{3 \to ?}\)

\(\mathbf{4 \to 0.02}\)

\(\mathbf{5 \to 0.01}\)

(a) The event using probability notation

When a student sees 3 home alone movies, it means x = 3.

So, the probability notation is: \(\mathbf{P(x = 3)}\)

(b) Explain P(x > 3)

It means the event that a student has seen more than 3 home alone movies.

It is calculated as:

\(\mathbf{P(x > 3) = P(4) + P(5) }\)

So, we have:

\(\mathbf{P(x > 3) = 0.02 + 0.01}\)

\(\mathbf{P(x > 3) = 0.03}\)

Hence, the value of P(x > 3) is 0.03

(c) Histogram

Start by calculating P(x = 3).

Using the complement rule, we have:

\(\mathbf{P(x = 3) = 1 - P(0)- P(1) - P(2) - P(x > 3)}\)

So, we have:

\(\mathbf{P(x = 3) = 1 - 0.15 - 0.42 - 0.32 - 0.03}\)

\(\mathbf{P(x = 3) = 0.08}\)

See attachment for the histogram

The shape is right-symmetric

(d) The expected value

This is calculated as:

\(\mathbf{E(x) = \sum x P(x)}\)

So, we have:

\(\mathbf{E(x) = 0 \times 0.15 + 1 \times 0.42 + 2 \times 0.32 + 3 \times 0.08 + 4 \times 0.02 + 5 \times 0.01}\)

This gives

\(\mathbf{E(x) = 1.43}\)

It means that a student has seen the home alone movies an average time o 1.43 times

Read more about probability distribution at:

https://brainly.com/question/795909

Final Answer: \(x = 5\)

Steps/Reasons:

Hey there!

Step 1: Subtract \(3x\) from both sides.

\(5 = 4x - 3x\)

Step 2: Simplify \(4x - 3x\) to \(x\).

\(5 = x\)

Step 3: Switch Sides.

\(x = 5\)

~I hope I helped you :)!

Answer:

1:15 pm

Step-by-step explanation:

time = distance divide by by the speed

= 520÷ 80

= 6hrs and 30 minutes

arrival time= departure time plus time taken

= 6:45 + 6:30 = 1:15pm

If 84% of products come off the line ready to ship to distributors, then the probability of a product being within specifications is 0.84.

Since we are selecting 12 products randomly from the line each hour, the number of products within specifications (x) follows a binomial distribution with parameters n = 12 and p = 0.84.

Using a binomial cumulative distribution function (CDF), we can calculate the probability that x is less than a certain value. For example, if x is less than 7, the probability of this outcome would be considered unusual and the production line should be repaired.

So, the answer is "fewer than 7".

To learn more about distributors please click on below link.

https://brainly.com/question/14276410

#SPJ4

Answer:

4 x 132= 528

4x(100-+30+2)= 288x

Step-by-step explanation:

Answer:

n+(n+6)=24

Step-by-step explanation:

we know that he has 24 in total so it has to equal 24

we also know that he has 6 more marbles meaning he has n number of yellow marbles plus 6 and that will give you the total of the blue marbles he also has n number of yellow marbles that he has to add to the number of blue marbles to get the total of 24