To find the measurement of any of the acute angles, which of the following trigonometric ratios should be used?

Answer:

309.12

Step-by-step explanation:

A = total amount

P = principal

r = interest rate

n = number of times interest is compounded

t = time (in years

A = P(1 + \(\frac{r}{n}\))^nt

A = 300(1 + \(\frac{.03}{12}\))^12 · 1

A = 300(1.0304)

A = 309.12

Answer:

408

Step-by-step explanation:

Answer:

2(x+7)+10

Step-by-step explanation:

The phrase that would best match the expression would be answer A.

The given statement exists true. A matrix is broken down into orthogonal (Q) and upper triangular (R) matrices in a process known as QR decomposition (factorization).

A matrix can be expressed as the union of two distinct matrices, Q and R, using the QR matrix decomposition. R is a square upper/right triangular matrix and Q is an orthogonal matrix. R is also invertible because it is square and doesn't have zeros in its diagonal entries.

A matrix is broken down into orthogonal (Q) and upper triangular (R) matrices in a process known as QR decomposition (factorization). Finding eigenvalues and solving linear least squares problems both use QR factorization.

A = QR. Be aware that the QR-factorization of a rectangular matrix A is sometimes understood with Q square and R rectangular rather than Q rectangular and R square, as with the MATLAB command qr.

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Due to its larger time frame and less sensitivity to transient variations in the data, the 200-day moving average is often smoother than the 50-day moving average.

The 200-day moving average is typically smoother than the 50-day moving average because it covers a longer period of time and is therefore less reactive to short-term fluctuations in the data. However, the choice between using a 50-day or a 200-day moving average ultimately depends on the specific data being analyzed and the desired level of sensitivity to changes in the data.

A 200-day moving average will be smoother than a 50-day moving average. The 200-day moving average considers a longer period of time, which reduces the impact of short-term fluctuations and provides a clearer overall trend. The 50-day moving average is more sensitive to recent price changes and will appear more volatile in comparison.

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Answer:

9/5 = 1(4/5)

Step-by-step explanation:

Answer:

3=47x86= and 4838x7694

Step-by-step explanation:

\(\\ \tt\longmapsto 2x+7+5x-2=180\)

\(\\ \tt\longmapsto 2x+5x+7-2=180\)

\(\\ \tt\longmapsto 7x+5=180\)

\(\\ \tt\longmapsto 7x=180-5\)

\(\\ \tt\longmapsto 7x=175\)

\(\\ \tt\longmapsto x=\dfrac{175}{7}\)

\(\\ \tt\longmapsto x=25\)

√145 cm

Step-by-step explanation:

By Pythagoras property

Hypotenuse² = base²+perpendicular ²

(AC)² +(BC)² =(AB)²

9² + 8² = (AB)²

81+64 = (AB)²

145 =(AB)²

AB =√145

Hey

here's ur answer ⤵️

Answer= 105

Step-by-step explanation:

The minimum value in a class is it's lower limit and the maximum value in a class is the upper limit. The given class is 90-120. So, the lower limit of this class is 90 and the upper limit is 120

Hence, the class mark of this class is 90-120= 105.

Hope it helps ✌

The ordered pairs in relation r are:

Partition 1: No ordered pairs.

Partition 2: (r = {(0, 0), (1, 1), (2, 2), (3, 3), (4, 4), (0, 1), (1, 0)}).

Partition 3: (r = {(0, 0), (1, 1), (2, 2), (3, 3), (4, 4), (0, 1), (1, 0), (0, 2), (2, 0), (1, 2), (2, 1)}).

Partition 4: (r = {(0, 0), (1, 1), (2, 2), (3, 3), (4, 4), (0, 1), (1, 0), (0, 2), (2, 0), (0, 3), (3, 0), (0, 4), (4, 0), (1, 2), (2, 1), (1, 3), (3, 1), (1, 4), (4, 1), (2, 3), (3, 2), (2, 4), (4, 2), (3, 4), (4, 3)}).

We have,

Consider each partition separately:

Partition 1: {{0}, {1}, {2}, {3}, {4}}

Since each element is in its own subset, there are no elements related to each other.

Therefore, the relation r is empty, and there are no ordered pairs.

Partition 2: {{0, 1}, {2, 3, 4}}

Within this partition, the elements 0 and 1 are in the same subset, and the elements 2, 3, and 4 are in another subset.

Therefore, the ordered pairs in the relation r are:

{(0, 0), (1, 1), (2, 2), (3, 3), (4, 4), (0, 1), (1, 0)}

Partition 3: {{0, 1, 2}, {3, 4}}

Within this partition, the elements 0, 1, and 2 are in the same subset, and the elements 3 and 4 are in another subset.

Therefore, the ordered pairs in the relation r are:

{(0, 0), (1, 1), (2, 2), (3, 3), (4, 4), (0, 1), (1, 0), (0, 2), (2, 0), (1, 2), (2, 1)}

Partition 4: {{0, 1, 2, 3, 4}}

Since all elements are in the same subset, they are all related to each other.

Therefore, the ordered pairs in the relation r are:

{(0, 0), (1, 1), (2, 2), (3, 3), (4, 4), (0, 1), (1, 0), (0, 2), (2, 0), (0, 3), (3, 0), (0, 4), (4, 0), (1, 2), (2, 1), (1, 3), (3, 1), (1, 4), (4, 1), (2, 3), (3, 2), (2, 4), (4, 2), (3, 4), (4, 3)}

Thus,

These are the ordered pairs in the relation r induced by each partition of {0, 1, 2, 3, 4}.

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Answer:

8 units = L

Step-by-step explanation:

The area of a rectangle is the product of length and width.

A = L*W

If A = 56 units^2 and W = 7 units, then L = (56 units^2) / (7 units) = 8 units = L

Answer:

B and E

Step-by-step explanation:

Answer:

x = 1

Step-by-step explanation:

Questions

6-(2x-4)=3x+5

Expanding the bracket

6-2x+4=3x+5

Rearranging the equation

6+4-2x=3x+5

10-2x=3x+5

Collecting like terms

10-5=3x+2x

5=5x

Dividing both sides by the quoefficient of x which is 5

5/5=5x/5

x=1

Answer:300

Step-by-step explanation:

Because the total area planted (240 square feet) is going to be composed of an area of flowers (x) and an area of vegetables, you can say x + y ≤ 240 (because he will use UP TO 240 square feet)

Because the area of vegetables will be AT LEAST twice the area of flowers, you can say y ≥ 2x

According to the question and after using the Pythagorean theorem the length of one side of the roof is 7.416 metres.

The Pythagorean Theorem is a mathematical formula used to determine the length of the sides of a right triangle. It is named after the Greek mathematician Pythagoras, who is credited with discovering the formula in the 6th century BC. The theorem states that the sum of the squares of the two shorter sides of the triangle is equal to the square of the hypotenuse (the longest side of the triangle). In equation form, it is expressed as a² + b² = c², where a and b are the lengths of the two shorter sides of the triangle and c is the length of the hypotenuse.

We know that the hypotenuse is 8 metres (the width of the shed) and the two shorter sides are 3 metres (the height of the walls) and y (the length of the side of the roof).
Therefore, using the Pythagorean theorem, we have:
3² + y² = 8²
9 + y² = 64
y² = 55
y = √55
y = 7.416 metres
Therefore, the length of one side of the roof is 7.416 metres.

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Answer:

−2x^2 + 9x − 20

Step-by-step explanation:

distribute the negative to the expression and simplify

x^2 + 7x + −9 + −3x^2 + 2x + −11

= −2x^2 + 9x − 20

Let I represent the Input and O, the output.

The strategy for determining the imput, I, is to mulitplying the Output, O by 100 and then dividing the result by the difference between 100 and the given percentage.

Mathematically, the input , I, is:

Answer:

Quadrant 4 (Q IV)

Step-by-step explanation:

Brainliest if this helps please? :)

Zero divided by any real number is equal to zero.

Mr. Kuldeep bought more rice than Mr. Rajesh by 1¾ kg, or 1.75 kg more than Mr. Rajesh.

Mr. Kuldeep bought 7½ kg of rice and Mr. Rajesh bought 5¾ kg of rice. To find out who bought more rice and by how much, we need to compare the two quantities.

First, let's convert the mixed numbers into improper fractions:

7½ kg = (7 x 2 + 1)/2 = 15/2 kg

5¾ kg = (5 x 4 + 3)/4 = 23/4 kg

Now, let's compare the two fractions:

15/2 kg > 23/4 kg

Therefore, Mr. Kuldeep bought more rice than Mr. Rajesh.

To find out by how much, we need to subtract the smaller quantity from the larger one:

15/2 kg - 23/4 kg = (30 - 23)/4 kg = 7/4 kg

So, Mr. Kuldeep bought 7/4 kg or 1¾ kg more rice than Mr. Rajesh. In conclusion, Mr. Kuldeep bought more rice than Mr. Rajesh by 1¾ kg.

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Answer:

Step-by-step explanation:

4 - 2(1) = 2

i'm pretty sure, sorry if its wrong, pls do not report.

how i got it

4 - 2 = 2

2 x 1 = 2

                        4 - 2y = 2

                       4 - 2(1) = 2

Type the second one exactly how i did, don't put a symbol or space, just copy and paste it.

a. The solution to the system of equations is: (4, 12).

b. The graph is shown below.

c. (4, 12) is the point of intersection. It confirms the solution from part a.

The solution of a system of equations can be described as the value of x and y of a point, that makes both equations true. It is the point where the two lines of the equations of the system intersect.

If we are given two tables, the ordered pair that appears in both table is considered the solution of the system.

a. The ordered pair, (4, 12) appears in both tables. Therefore, the solution is: (4, 12).

b. The graph of the ordered pairs from each table are sketched in the image shown below, where the green line is for the first table, and the blue line is for the second table.

c. The point of intersection of the graph is (4, 12), this confirms the solution from part a.

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By evaluating the equation |x+y/y+x| the answer we obtained is 1 as both the numerator and denominator are the same.

The expression is:

| x + y / y + x |

To evaluate it, we need to do it in order of operations, that is:

Do all the calculations in brackets first.

Exponentials (i.e. powers and square roots, etc.)

Multiply and divide (from left to right)

Addition and subtraction (from left to right)

There are no parentheses, exponents, multiplications, or subtractions in this expression, so we can simplify it like this:

Add y and x to the numerator:

| (x+y)/(y+x) |

Since the denominator is equal to the numerator, we can simplify it further to:

| 1 |

Therefore, the final answer is 1. 

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Answer:

8076 candies is the total number of candies on the truck

Step-by-step explanation:

If 1 box has 12 candies.

then 673 boxes shall have ( 673 * 12 ) = 8076 candies.

Complete the square to write

ax² + bx + c = a (x + b/(2a))² - (b² - 4ac)/(4a)

The quadratic has a double root at x = -b/(2a) if the constant term (b² - 4ac)/(4a) vanishes, which happens if b² - 4ac = 0.

Let A, B, and C be random variables representing the value of the first, second, and third roll of the die. They are independent and identically distributed with PMF

Pr [X = x] = 1/6

if x ∈ {1, 2, 3, 4, 5, 6}, and 0 otherwise.

We want to find

Pr [B² - 4AC = 0]

Note that

B² - 4AC = 0   ⇒   B² = 4AC   ⇒ (B/2)² = AC

which tells us that B must be even, and also that AC is a perfect square. Then there are 5 possible outcomes that satisfy the conditions:

• If B = 2, then AC = 1   ⇒   A = C = 1

• If B = 4, then AC = 4   ⇒   A = 1, C = 4 or A = C = 2 or A = 4, C = 1

• If B = 6, then AC = 9   ⇒   A = C = 3

and there are 6³ = 216 total possible outcomes in the sample space. So,

Pr [B² - 4AC = 0] = 5/216

The evaluation of the graphs of the given values and the absolute value function are as follows;

1. A. Please find attached the graph of the function created with MS Excel

B. The slope of the line is -1

C. Then equation of the line is; y = -x + 5

2. a) The vertex is (-1, 3)

b) The graph will be positive up

c) The completed table is presented as follows;

x; \({}\)-2, -3, -4,  -5, -6

y\({}\);  4,  5,  6,   7,   8

Please see also the table included in the graph

In an absolute value function, an algebraic expression is placed with an absolute value symbol.

A. Please find attached the graph that passes through the points (0, 5), (4, 1)

B. The slope of the graph, m, is found as follows;

\(m = \dfrac{1-5}{4-0} = -1\)

The slope of the line is -1

C. The equation of the line in point and slope form is; y - 5 = -1·(x - 0)

Therefore; y = -x + 5

The slope-intercept form of the equation of the line is; y = -x + 5

2. The absolute value equation is; y = |x + 1| + 3

The vertex of the absolute value function is given by the point where the function is highest or lowest

From the function, y = |x + 1| + 3, the lowest value of |x + 1| is 0, and therefore, the lowest value of the function is +3 which is given by the point where x = -1

The vertex is therefore the point (-1, 3)

b) Given that the function has the vertex at the lowest point the function, the graph will be positive up

c) The completed table is presented as follows;

x; \({}\)-2, -3, -4,  -5, -6

y\({}\);  4,  5,  6,   7,   8

Please find attached, the graph of the absolute value function; y = |x + 1| + 3, created with MS Excel

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The simplified expression is 9j¹⁴k⁹ + 9j¹¹k⁶ - 72j⁶k².

When you use operations like addition, subtraction, multiplication, division, exponentiation, and other operations to combine numbers and variables.

Expressiοns in math are mathematical statements that have a minimum οf twο terms cοntaining numbers οr variables, οr bοth, cοnnected by an οperatοr in between. The mathematical οperatοrs can be οf additiοn, subtractiοn, multiplicatiοn, οr divisiοn. Fοr example, x + y is an expressiοn, where x and y are terms having an additiοn οperatοr in between. In math, there are twο types οf expressiοns, numerical expressiοns - that cοntain οnly numbers; and algebraic expressiοns- that cοntain bοth numbers and variables.

To simplify the expression 9j⁶k²(j⁸k⁷ + j⁵k⁴ - 8j²k), we need to distribute the factors and simplify the resulting terms:

9j⁶k²(j⁸k⁷ + j⁵k⁴ - 8j²k)

= 9j⁶k²j⁸k⁷ + 9j⁶k²j⁵k⁴ - 72j⁸k³

= \(9j^{(6+8)}k^{(2+7)} + 9j^{(6+5)}k^{(2+4)} - 72j^{(8-2)}k^{(3-1)\)

= \(9j^{14}k^9 + 9j^{11}k^6 - 72j^6k^2\)

Therefore, the simplified expression is 9j¹⁴k⁹ + 9j¹¹k⁶ - 72j⁶k².

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Answer:

t = 3

Step-by-step explanation:

\(4 - t = 3(t - 1) - 5\)

\(4 - t = 3t - 3 - 5\)

\(4 - t = 3t - 8\)

\( - t - 3t = - 8 - 4\)

\( - 4t = - 12\)

\(t = 3\)

Answer: It means the value is rational

Step-by-step explanation:

Repeating decimals can be converted to fractions and rational numbers are numbers that can be expressed as a fraction  but irrational numbers cannot be expressed as a fraction and neither does it terminate or repeat.