i need help w/ math due asap plzz

Step-by-step explanation:

Simplify 2(x-6)

2x+2•-6

2x-12

4x+10=2(×-6)=2x-12

The answers to the questions involving trigonometry are: 90, BC/AB ÷ BC/AB = 1, g = 6.5, <I = 62 degrees, h= 13.8, 12.0, x = 6.8, x = 66.4, 160.6, The pole = 6.7

Trigonometric ratios are special measurements of a right triangle, defined as the ratios of the sides of a right-angled triangle.  There are three common trigonometric ratios: sine, cosine, and tangent

For page 3 question 3,

a) <A + <B = 90 since <C = right angle

b) SinA = BC/AB and CosB = BC/AB

The ratio of the two angles BC/AB ÷ BC/AB = 1

I notice that the ratio of sinA and cosB gives 1

b) The ratio of CosA and SinB will give

BC/AB ÷ BC/AB

= BC/AB * AB/BC = 1

For page 5 number 3

Tan28 = g/i

g/12.2 = tan28

cross multiplying to have

g = 12.2*tan28

g = 12.2 * 0.5317

g = 6.5

b) the angle I is given as 90-28 degrees

<I = 62 degrees

To find the side h we use the Pythagoras theorem

h² = (12.2)² + (6.5)²

h² = 148.84 +42.25

h²= 191.09

h=√191.09

h= 13.8

For page 6

1) Sin42 = x/18

x=18*sin42

x = 18*0.6691

x = 12.0

2) cos28 = 6/x

xcos28 = 6

x = 6/cos28

x [= 6/0.8829

x = 6.8

3)  Tan63 = x/34

x = 34*tan63

x= 34*1.9526

x = 66.4

4) Sin50 123/x

xsin50 = 123

x = 123/sin50

x = 123/0.7660

x =160.6

5)  Sin57 = P/8

Pole = 8sin57

the pole = 8*0.8387

The pole = 6.7

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Answer:

1/3

Step-by-step explanation:

4/12

2 goes in to 4 and 12, so 4 divide by 2 is 2 and 12 divide by 2 is 6 then you have to simplify it again since 2 can still go into 2 and 6 so 2 divide by 2 is 1 and 6 divide by 2 is 3.

The line equation which models the data plotted on the graph is y = -16.67X + 1100

The equation for the line of best fit is expressed by the relation :

b = slope ; c = intercept

The slope , b = (change in Y/change in X)

Using the points : (28, 850) , (40, 650)

slope = (850 - 650) / (28 - 40)

slope = -16.67

The intercept is the point where the best fit line crosses the y-axis

Hence, intercept is 1100

Line of best fit equation :

Therefore , the equation of the line is y = -16.67X + 1100

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Answer:

By Bodmas rule ,We will add the terms which have positive sign

(450+307)-625

757-625

132

Step-by-step explanation:

mark me as brainliest ❤️

Answer:

132

Step-by-step explanation:

450-625

-175+307

132

Answer:

(3,-1)

Step-by-step explanation:

2x + 3y = 3  -----------(I)

7x - 3y = 24 ----------(II)

Add equation (I) & (II) and y will be eliminated and we can find the value of 'x'

(I)         2x + 3y = 3

(II)       7x   - 3y = 24   {Add}

         9x           = 27   {Divide both sides by 9}

                    x = 27/9

x = 3

Plugin x = 3 in equation (I)

2*3 + 3y = 3

  6 + 3y = 3

Subtract 6 from both sides

 3y = 3 - 6

 3y = -3

Divide both sides by 3

    y = -3/3

y = -1

A. By the given conditions, the function f has a root in the interval [a, b].

B. The given conditions provide information about the function f and its derivatives.

Let's analyze the conditions step by step:

1. f(a) < 0 and f(b) > 0: This implies that function f takes negative values at the left endpoint a and positive values at the right endpoint b.

In other words, the function changes the sign between a and b.

2. f'(x) > 0 for all x in (a, b): This condition states that the derivative of f, denoted as f'(x), is always positive in the open interval (a, b).

This indicates that the function is increasing within this interval.

3. f''(x) > 0 for all x in (a, b): This condition states that the second derivative of f, denoted as f''(x), is always positive in the open interval (a, b).

This indicates that the function is concave up within this interval.

By combining these conditions, we can conclude that the function f is continuous, increasing, and concave up within the interval (a, b).

Since f(a) < 0 and f(b) > 0, and the function changes sign between a and b, by the Intermediate Value Theorem, there exists at least one root of the function f in the interval [a, b].

Therefore, the main answer is that the function f has a root in the interval [a, b].

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Answer:

Interval notation of x<3 is (-∞,3)

Interval notation of x>=5 is [5,+∞)

Step-by-step explanation:

x<3

Since you did not enter an equal sign, this translates to ) since we will not be including the number 3

Based on the < you entered, the left side of the interval notation will extend to negative infinity, which is denoted as -∞

(-∞,3)

----------------------

x>=5

Because you entered an equal sign, this translates to [ since we include the number 5.

Based on the ≥ you entered, the right side of the interval notation will extend to positive infinity, which is denoted as +∞

[5,+∞)

Answer: B

Step-by-step explanation:

First, let's convert the 5 pints of fruit punch to cups:

5 pints = 5 x 2 cups/pint = 10 cups

Now we can add up the cups of each ingredient:

6 cups of orange juice + 10 cups of fruit punch + 8 cups of apple juice = 24 cups

Since there are 4 cups in a quart, we can divide by 4 to get the number of quarts:

24 cups ÷ 4 cups/quart = 6 quarts

Therefore, Jackson makes 6 quarts of fruit punch.

Answer:

b = 40

Step-by-step explanation:

You want your discriminant to be zero because then you have exactly one solution.

Solve b²-4ac = 0

=>

b² - 4·400 = 0

b = ±√1600

so b=±40

but f(-20) also has to be 0

so b=40 remains as the solution

Answer:

b = 40

Step-by-step explanation:

If x = - 20 is a zero of f(x) then f(- 20) = 0 , that is

(- 20)² - 20b + 400 = 0

400 - 20b + 400 = 0

800 - 20b = 0 ( subtract 800 from both sides )

- 20b = - 800 ( divide both sides by - 20 )

b = 40

Step-by-step explanation:

First term (a)=10

Common ratio r=20/10 =2

14th term =ar^n-1

Where n is the number of terms

14th term = 10(2)^14-1

=20^13

=8.192^16

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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Since the expression (a×b)×c=a×(b×c) is the same even with the arrangement alteration, hence it connotes the multiplicative property of commutativity

A binary operation is commutative if changing the order of the operands does not change the result.

For instance A +B = B + A is a commutative property since changing the position does not affect result.

We have the addition property and multiplicative property of commutativity

Since the expression (a×b)×c=a×(b×c) is the same even with the arrangement alteration, hence it connotes the multiplicative property of commutativity

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The given expression is

n = 1, q = -6, and t = -2

Simplify the square bracket

Multiply 7 by -10

Add all terms

The absolute value will cancel the negative of 62 (I-62I = 62)

The answer is -62

Answer:

yes

Step-by-step explanation:

if a even number can go into a even number a even number of times its a irrational number

Answer: no it is rational

Step-by-step explanation: A number is only irrational if it has endless decimals after it.

Considering concepts of divisibility, the amount of numbers in the set that are divisible by 2 but not by 10 is:

(C) 19.

The data-set has (55 - 10) + 1 = 46 numbers, hence 23 are divisible by 2. 20, 30, 40 and 50 are also divisible by 10, that is, 4 numbers have to be removed, hence the amount is:

23 - 4 = 19.

Which means that option C is correct.

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The percentage of bags of cookies that will contain between 64 and 68 cookies is approximately 18.23%.The number of cookies in a shipment of bags is normally distributed, with a mean of 64 and a standard deviation of 4.

What percentage of bags of cookies will contain between 64 and 68 cookies

When X is normally distributed with mean µ and standard deviation σ, the z-score formula can be used to find the probability that X is between two values.

Z = (X - µ) / σ

First, we convert both 64 and 68 to z-scores:

Z for 64 cookies = (64 - 64) / 4 = 0Z for 68 cookies = (68 - 64) / 4 = 1

Next, we find the probability that X is between these two z-scores using a standard normal distribution table or calculator:

Prob (0 < Z < 1) = 0.3413 - 0.5(0) - 0.159

= 0.1823

So, the percentage of bags of cookies that will contain between 64 and 68 cookies is approximately 18.23%.

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The minimum number of boxes needed for all of the golf balls is 26.

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

Example: 2 + 3x + 4y = 7 is an expression.

We have,

Number of golf balls = 468

Number of golf balls in one box = 18

The number of boxes.

= 468 ÷ 18

= 468/18

= 26

Thus,

The number of boxes needed is 26.

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Answer:

y = 1/3x - 2:

y = 12 - 6x:

y = 3x - 7:

Step-by-step explanation:

Hello!

The slope-intercept form of a line is \(y = mx + b\)

The y-intercept is the "b" value of the line, given as -2.

To find the x-intercept, we simply replace the y-value with 0:

y - intercept: - 2

x - intercept: 6

____________________________________________________

You can rearrange the equation, y = -6x + 12, to find the y-intercept: 12.

Solving for the x-intercept (remember, replace y with 0):

y - intercept: 12

x - intercept: 2

____________________________________________________

Simply take the "b" value, -7, to find the y-intercept of -7.

Solve for the x-intercept:

y - intercept: -7

x - intercept: 7/3

Additional Note:

You can also solve for the y-intercept by replacing x with 0. This method can be used for any interests, just plug in the opposite variable from what you are solving for with 0.

The proof is that the x-intercept is the value when the y = 0, the x-axis. You can plug in 0 for y to solve for x. Similarly, when solving for the y-intercept, you plug 0 for x as the y-axis is at x = 0.

The  Trigonometric Identity sin² x + cos²x = 1 is: A. Pythagorean Identity.

The Pythagorean Identity which  tend to asserts that for every angle x, the sum of the squares of the sine and cosine of x is equal to one  is known as or called a  trigonometric identity.

The  Pythagorean identity can be expressed as:

sin² x + cos² x = 1

This identity is crucial to understanding trigonometry and tend to have several uses in numerous branches of science and engineering.

Therefore the correct option is A.

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Answer:748cm^2

Step-by-step explanation:

Therefore , the solution to the given problem of unitary method comes out to be he will have $870.

The unit method is a method of problem-solving that entails calculating the variable of one unit, multiplying that value, and then calculating the required value. To describe it simply, the unit method is employed to obtain a single entity value from a specified multiple. One pen costs 400 rupees, thus 40 needles would cost 400 rupees. There might be a regular procedure for doing this out. merely one nation. anything containing a distinctive component. Logic of matrices or operators, algebra, mathematical analysis, and its adjoint and reciprocal are all equivalent.

Here,

To address the issue,

if the person gets a gross biweekly salary of $840 and claims 2 extra withholding allowances,

their take-home pay would increase by $30.

thus,

They will have 840 + 30 = $870

Therefore , the solution to the given problem of unitary method comes out to be he will have $870.

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The equation of the polar coordinates is given as r(θ) = 10 / cos(θ - α)

In polar coordinates, the equation for a line through a point (r0, θ0) that is tangent to the circle centered at the origin with radius r0 is:

r(θ) = r0 / cos(θ - θ0)

So, the polar equation for the special line in your case would be:

r(θ) = 10 / cos(θ - θ)

However, this is a trivial solution (i.e., every point on the line coincides with P), because the argument inside the cosine function is zero for every θ.

The most appropriate way to express this would be to keep θ0 as a specific value. Let's say θ0 = α (for some angle α).

Then the equation becomes:

r(θ) = 10 / cos(θ - α)

This equation will yield the correct line for a specific α, which should be the same as the θ value of point P for the line to go through point P. This line will be such that point P is closer to the origin than any other point on that line.

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Answer:

Step-by-step explanation:

\(5x + y = 28\)

\(x + y = 8\)

Solve the equation for y by moving 'x' to R.H.S and changing its sign

\(5x + y = 28\)

\(y = 2 - x\)

Substitute the given value of y into the equation 5x + y = 28

\(5x + 2 - x = 28\)

Solve the equation for x

Collect like terms

\(4x + 2 = 28\)

Move constant to R.H.S and change its sign

\(4x = 28 - 2\)

Subtract the numbers

\(4x = 26\)

Divide both sides of the equation by 4

\( \frac{4x}{4} = \frac{26}{4} \)

Calculate

\(x = \frac{26}{4} \)

Reduce the numbers with 2

\(x = \frac{13}{2} \)

Now, substitute the given value of x into the equation y = 2 - x

\(y = 2 - \frac{13}{2} \)

Solve the equation for y

\(y = - \frac{9}{2} \)

The possible solution of the system is the ordered pair ( x , y )

-------------------------------------------------------------

Let's check if the given ordered pair is the solution of the system of equation:

plug the value of x and y in both equation

\(5 \times \frac{13}{2} - \frac{9}{2} = 28\)

\( \frac{13}{2} - \frac{9}{2} = 2\)

Simplify the equalities

\(28 = 28\)

\(2 = 2\)

Since , all of the equalities are true, the ordered pair is the solution of the system.

\((x \:, y \: ) = ( \frac{13}{2} \: , - \frac{9}{2}) \)

Hope this helps....

Best regards!!

Answer:

\(\boxed{x=6.5} \\ \boxed{y=-4.5}\)

Step-by-step explanation:

5x + y = 28

x + y = 2

Subtract both equations. (eliminating y variable)

4x + 0 = 26

4x = 26

Divide both sides by 4.

x = \(\frac{26}{4}\)

x = 6.5

Plug x as 6.5 in the second equation and solve for y.

6.5 + y = 2

Subtract 6.5 on both sides.

6.5 - 6.5 + y = 2 - 6.5

y = -4.5

The correlation between x and y is 0.5. This indicates a positive correlation, meaning that as values of x increase, so do the values of y.

The correlation coefficient (denoted by ρ) between x and y can be calculated as:

ρ = covariance(x,y) / (standard deviation of x * standard deviation of y)

A measure of the link between two random variables and how much they fluctuate together is called covariance. Alternately, we may say that it establishes the relationship between the two variables' changes, i.e., that a change in one variable is equivalent to a change in the other. When the variables are translated linearly, a function has the property of preserving its shape.

We are given that the covariance between x and y is 25, the standard deviation of x is 10, and the standard deviation of y is 5. Substituting these values into the formula, we get:

ρ = 25 / (10 * 5) = 0.5

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No, a fraction is not a term. The distributive property can be applied to fractions because it is a general mathematical principle.

A fraction is not considered a term in the traditional sense. It is a mathematical expression that represents division. However, the distributive property can still be applied to fractions because the property itself is a fundamental rule of arithmetic that extends beyond specific types of expressions.

The distributive property states that for any real numbers a, b, and c:

a × (b + c) = (a × b) + (a × c).

When working with fractions, we can apply the distributive property as follows:

Let's consider the expression: a × (b/c).

We can rewrite this as: (a × b)/c.

Now, let's distribute the 'a' to 'b' and 'c':

(a × b)/c = (a/c) × b.

In this step, we applied the distributive property to the fraction (a/c) by treating it as a whole.

Although fractions represent division, we can still use the distributive property because it is a general mathematical principle that allows for manipulating expressions involving addition, subtraction, multiplication, and division.

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Answer:

slope is -0.4, y intercept is (0,3) which Is Basically 3

Answer:

\(m < 1 = 36\)

\(m < 2 = 56\)

\(m < 3 = 124\)

\(m < 4 = 88\)

\(m < 5 = 36\)

Using the distance formula, the area of the rectangle is: 16 units².

Area of a rectangle = (length)(width).

Given the vertices:

Area = (AB)(BC)

Apply the distance formula, \(d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}\), to find AB and BC:

AB = √[(1−(−3))² + (3−(−1))²]

AB = √[(4)² + (4)²]

AB = √32

BC = √[(1−3)² + (3−1)²]

BC = √[(−2)² + (2)²]

BC = √8

Area = (√32)(√8) = √256

Area = 16 units²

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Answer:

A. t=13 B. K= 23 C. t= 1 3/8

Step-by-step explanation:

A. 2t-30m=20

30 x 1/5= 6

2t-6+6=20+6

2t/2=26/2

t=13

B. 14+m=2k

14+12=2k

14+12=46

46/2=23

k=23

C. 1/8r+t=1

1/8 x (-3)= -3/8

1 - (-3/8)= 1 3/8

t= 1 3/8

Hope it helps!