Find x and y. Give reasons to justify your solution.

Answer:

This is a matter of ratio and proportion, let us represent the unknown value as x. Since the two ratios are related,

40 : 180 :::: x : 900

40 / 180 = x / 900

x = (40/180)(900)

x = 200q

Step-by-step explanation:

3e <= 6

e <= 2 (divide 3 on both sides)

The e-values that satisfy the inequality are:

e = 1 and e = 2.

Answer:

Solutions: e = 1 and e = 2

Step-by-step explanation:

3(1) ≤ 6

3 ≤ 6

3 is less than 6, so this works.

3(2) ≤ 6

6 ≤ 6

6 is equal to 6, so this works.

3(3) ≤ 6

9 ≤ 6

9 is not less than or equal to 6, so this does not work.

The square root of 3,600 is 60.

Answer:

60

Step-by-step explanation:

Root of 3600 is the same as the root of (2×2)×(2x2)×(3×3)×(5×5) which is the same as 2×2×3×5 which is 60.

Answer:

Its first quadrant bro.

The linear transformations are:

A. T(A) = 5A from R^(5x4) to R^(5x4)

D. T(A) = A + I6 from R^(6x6)

To check whether a transformation is linear, we need to verify two properties:

T(cA) = cT(A) for any scalar c and any matrix A

T(A+B) = T(A) + T(B) for any matrices A and B

For option A, we have:

T(cA) = 5(cA) = c(5A) = cT(A)

T(A+B) = 5(A+B) = 5A + 5B = T(A) + T(B)

Therefore, option A is a linear transformation.

For option D, we have:

T(cA) = cA + I6 = c(A + (1/c)I6) = cT(A)

T(A+B) = (A+B) + I6 = A+I6 + B+I6 = T(A) + T(B)

Therefore, option D is also a linear transformation.

Options B, C, E, and F are not linear transformations because they violate at least one of the two properties.

Option B violates property 1 because T(cA) = trace(cA) = c(trace(A)) is not equal to cT(A) for matrices A that are not scalar multiples of the identity matrix.

Option C violates property 2 because T(A+B) = S(A+B)S^-1 = SASS^-1 + SBS^-1 is not equal to SAS^-1 + SBS^-1 = T(A) + T(B) in general.

Option E violates property 1 because T(cA) = det(cA) = c^4 det(A) is not equal to cT(A) for matrices A that are not scalar multiples of the identity matrix.

Option F violates property 1 because T(cA) is not equal to cT(A) for any nonzero scalar c, and violates property 2 because it maps from R to R^(2x2), which means that T(A+B) is not defined for matrices A and B of different sizes.

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Answer:

\( \cos \beta = \dfrac{8}{17} \)

Step-by-step explanation:

\( \cos A = \dfrac{adj}{hyp} \)

For angle beta, adj = BC = 8, and hyp = AB = 17

\( \cos \beta = \dfrac{adj}{hyp} \)

\( \cos \beta = \dfrac{BC}{AB} \)

\( \cos \beta = \dfrac{8}{17} \)

Answer:

Cos B = 8/17

Step-by-step explanation:

Since this is a right triangle, we can use trig functions

cos B = adjacent/ hypotenuse

Cos B = 8/17

Step-by-step explanation:

There are FOUR queens in a deck of 52 cards

4/52 chance of selecting a queen =  1/13  chance  = .07692 chance

Answer:

10

Step-by-step explanation:

Your scale factor is 3/2, because when you compare AC and DF, the ration is 18/12, or 3/2. We can set up a proportion:

3/2=15/x

We cross multiplu

3x=30

x=10

So, the length of DE is 10 units.

Hope this helps!

Answer:

75ft

Step-by-step explanation:

We are to find the maximum height reached by the ball. This is expressed as;

H = u²sin²Ф/2g

u is the initial velocity = 80 ft./s.

Ф is the angle = 60degrees

g is the acceleration due to gravity = 32ft/s

Substitute

H =80²sin²60/2(32)

H = 6400sin²60/64

H = 100 (0.8660)²

H = 100*0.749956

H = 74.9956

H ≈ 75ft

Hence the ball has travelled 75ft apprximately

The percentage of the population that identified themselves as multiracial in the 2010 census was 2.9%.

According to data from the U.S. Census Bureau, in 2010, 9 million people (or 2.9% of the population) identified as multiracial when given the option to check more than one box for their race.

It's worth noting that the option to check more than one box for race was first introduced in the 2000 census, and the multiracial population has been growing steadily since then. In the 2000 census, 6.8 million people (or 2.4% of the population) identified as multiracial, so there was a significant increase in the number of people identifying as multiracial in the 2010 census. Additionally, the Census Bureau projects that the multiracial population will continue to grow in future censuses.

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In linear equation , 2 Hours long will it take 1 person to complete jigsaw puzzle.

What is linear equation give example?

time = rate₁  + rate₂

       = 1 . 1 + 1 . 1

       = 1 + 1

        = 2  hours

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Answer:

A) 3.6 meters

B) 3.24 meters

C) 13 Times

Step-by-step explanation:

:)

The time it takes to complete the one rotation is 0.44 seconds (rounded to two decimal places). The three measurements you obtained were 2.1 seconds, 2.3 seconds, and 2.2 seconds.

Step 1: Add the three measurements together.

Step 2: Divide the sum by 3 to find the average time.

Step 3: Divide the average time by 5 to find the time it takes to complete one rotation.

Step 1: Add the three measurements together.

\(2.1 + 2.3 + 2.2 = 6.6\)

Step 2: Divide the sum by 3 to find the average time.

\(6.6 ÷ 3 = 2.2\)

Step 3: Divide the average time by 5 to find the time it takes to complete one rotation.

\(2.2 ÷ 5 = 0.44\)

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\(\sqrt[3]{2}+\sqrt[3]{4}\) is the root of the cubic polynomial  \(x^3-6 x-6\) .

A cubic function in mathematics is a function with the formula: f(x)=ax3+bx2+cx+d where the variable x has real values, the coefficients a, b, c, and d are complex integers, and a, a, and 0 are equal to zero. In other words, it is a real function as well as a polynomial function of degree three. The set of real numbers is specifically the domain and the codomain. All odd-degree polynomials have at least one real root, while cubic functions have one to three real roots (which may not be distinct).

A cubic function's graph always has one inflection point. It might have a local minimum and local maximum as its two essential points. A cubic function is monotonic if it is not.

Let  \(r=\sqrt[3]{2}+\sqrt[3]{4}\)

\(\text { Then, since }(a+b)^{\wedge} 3=a^{\wedge} 3+3 a^{\wedge} 2 b+3 a b^{\wedge} 2+b^{\wedge} 3=a^{\wedge} 3+3 a b *(a+b)+b^{\wedge} 3\)

\(\begin{aligned}\mathbf{r}^{\wedge} 3 &=\left(\frac{3}{2} \sqrt{2}+3 \cdot \sqrt[3]{2} \cdot \sqrt[3]{4} \cdot(\sqrt[3]{2}+\sqrt[3]{4})+(\sqrt[3]{4}) 3=\right.\\&=2+3 \cdot \sqrt[3]{8} \cdot(\sqrt{2}+\sqrt{4})+4=2+3 * 2 * r+4=6+6 r .\end{aligned}\)

\(\text { It means that } r=\sqrt[3]{2}+\sqrt[3]{4} \text { is the root to this equation }\)

\(r^3-6 r-6=0 .\)

Therefore, \(\sqrt[3]{2}+\sqrt[3]{4}\) is the root of the cubic polynomial  \(x^3-6 x-6\)

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The probability of observing the experiment result, a sample mean, for example, or something more unusual just by chance if the null hypothesis is true is the definition of "P-Value."

A null hypothesis is a sort of statistical hypothesis which asserts that there is no statistical significance in a particular set of observations.

Using sample data, hypothesis testing is performed to determine the believability of a theory. It really is expressed as H0 and is also known to simply as "null."

Some key features regarding null hypothesis are-

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Answer:

b

Step-by-step explanation:

edge2020

The equation of the line is 7x+2y = 1

The equation of a line is linear in the variables x and y which represents the relation between the coordinates of every point (x, y) on the line. i.e., the equation of line is satisfied by all points on it.

Given that a line is passing through two points J(-3, 11) and K(1, -3). we need to find the equation of line JK,

So, we know that the equation of a line passing from two points (x₁, y₁) and (x₂, y₂) is =

y-y₁ = y₂-y₁/x₂-x₁ (x-x₁)

Here, (x₁, y₁) and (x₂, y₂) = J(-3, 11) and K(1, -3)

Therefore, the equation of the line =

y-11 = -3-11 / 1+3 (x+3)

y-11 = -7/2(x+3)

Multiply by 2,

2y-22 = -7(x+3)

2y-22 = -7x-21

7x+2y = 1

Hence the equation of the line is 7x+2y = 1

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Answer: x = 1 and y = 5

We already know that x=y-4 so place the value of, "x" in the first equation, -10x+3y=5. So solve the steps like this:

-10(y-4) + 3y = 5

-10y + 40 + 3y = 5

-7y= 5-40

-7y= -35

y= -35/-7

y= 5

Now place the value of y in the first equation.

-10x + 3(5) = 5

-10x + 15 = 5

-10x= 5-15

x= -10/-10

x= 1

So x is 1 and y is 5

Brainliest pls if i am correct!

The ratio of John's money to Peter's money is 5/4. This means if John has a total amount of 5 then Peter will have a total of 4 as his amount.

Let's assume John has 'x' amount of  money, Peter has 'y' amount of money, The money John saved is 'p' and the money Peter saved is 'q'

So,

p = x - 80x/100                (equation 1)

q = y - 75y/100                (equation 2)

According to the given question, the amount John saved is equal to the amount Peter saved. Hence, we can equate equations 1 and 2.

p = q

x- 80x/100 = y - 75y/100

x - 0.8x = y - 0.75y

0.2x = 0.25y

x =  0.25y/0.2

x/y = 0.25/0.2

x/y = 25/20

x/y = 5/4

Hence, the ratio of John's money to Peter's money is 5/4.

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The integer for vector 1 {2,6,-7}, integer for vector 2 is 10,8,-14}, integer for vector 3 is {4,12,-14}, integer for vector 4 is {14,-2,-7} and integer for vector 5 is {22,0,-14}. (all these vectors are in span {V1 and V2})

List five vectors in Span {v_1, v_2}?

1) V1+v2={8,2,-7 }+{-6,4,0 }

={2,6,-7}

2) 2v1+v2={16,4,-14}+{-6,4,0}

={10,8,-14}

3)2v1+2v2={16,4,-14}+{-12,8,0}

={4,12,-14}

4)V1-v2={8,2,-7}-{-6,4,0}

={14,-2,-7}

5)2v1-v2={16,4,-14}-{-6,4,0}

={22,0,-14}

All of these vectors are contained within the span.

{v1,v2}={av1+bv2:ab∈r}

A matrix is a rectangular variety of ordered numbers (real or complex) or functions .Assume we want to express the following information about   Ram and his two friends Rohan and Yash's possession of pens and pencils:
Ram       has      20     pens       and       7       pencils,

Rohan    has      15     pens       and       5       pencils,

Yash       has      12     pens       and       3       pencils

Now, this could be arranged in tabular form as follows,
⎢20  7⎢
⎢15   5⎢                            
⎢12   3⎢        

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Answer:

6.

Step-by-step explanation:

Answer:

658.938

Step-by-step explanation:

Rectangle Area: 11·10=110

Triangle Area: \(\frac{1}{2}\)·8·10=40

Semicircle Area: 508.938

Add it all up: 658.938

The calculator helps to slove an expression. By putting all elements one by one of the expression to get result.

What is a calculator?

A calculator is a device that performs numerical arithmetic operations. Basic calculators can only perform addition, subtraction, multiplication, and division calculations.

To perform basic operations, use the basic operation symbols. Addition (+), subtraction (-), multiplication (), and division () are examples of these operations.

Don't be concerned about the order of operations. A scientific calculator will perform calculations in the correct order.

Using the parentheses keys, you can change the order of operations. The calculator's order of operations will be overridden.

Correct your errors. If you accidentally press the wrong key, press the DEL key. This will remove the last button you pressed, but it will not remove any calculations you've made.

Make a clean sweep of your work. To clear the line, press the CLEAR button. You can probably scroll up to see previous calculations. You can delete these by pressing delete after each line.

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The probability that at least 9 out of 10 solar-heat installations will succeed and reduce the utility bill is 0.0464.

What is a binomial distribution?

The probability distribution known as the binomial distribution, which is used in statistics, quantifies the chances that a value will take one of two independent values given a particular set of conditions or hypotheses.

Formula to calculate the binomial distribution

P(X = x) =ⁿCₓ× pˣ×(1-p)ⁿ⁻ˣ

Here, we know that

Solar-heat installations successfully reduce the utility bill 60% of the time.

We have to calculate the probability that at least 9 out of 10 solar-heat installations will succeed and reduce the utility bill.

We have 60% = 0.6 = p and n = 10.

We have a binomial distribution: X : (10, 0.6).

We use the binomial distribution formula to calculate the probability

P(X = x) =ⁿCₓ× pˣ×(1-p)ⁿ⁻ˣ, we get

P(x ≥ 9) = 1 - P(x < 9)

P(x ≥ 9) = 1 - P(x ≤ 8)

P(x ≥ 9) = 1 - ∑⁸₀ P(x = x)

P(X ≥ 9) = 1 - ∑⁸₀¹⁰Cₓ × (0.6)ˣ × (1-0.6)¹⁰⁻ˣ

P(X ≥ 9) = 1 -( 0.00011 + 0.00157 + 0.01062 + 0.04247 + 0.11148 + 0.20066 + 0.25082 + 0.21499 + 0.12093)

P(X ≥ 9) = 1 -0.95365

P(X ≥ 9) = 0.04635

Hence, the probability that at least 9 out of 10 solar-heat installations will succeed and reduce the utility bill is 0.0464.

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Answer:

C. 6/48

Step-by-step explanation:

mutliply both numerator and denominator

Answer:

33.3

Step-by-step explanation:

tan A = opp/adj

tan 39° = 27/x

x tan 39° = 27

x = 27/(tan 39°)

x = 33.3

Answer: D

Step-by-step explanation:

Answer:

Step-by-step explanation:

The difference between the assets and the liabilities cannot be compared.