x(yz), for x = 8, y = -9, z = 5​

Answer:

16

Step-by-step explanation:

The run is the amount in the x direction

-8 to 8 = 16 units

(8- - 8) = 8+8 = 16

The run is 16

Answer:bottletle water

Step-by-step explanation:

Answer: Cereal water / Cereal in water

Step-by-step explanation:

Pretty much the flavor of cereal with the flavor of water

m = 36

Work

45 + 2.50m = 3.75m

       -3.75m    -3.75m

45 - 1.25m = 0

- 45             - 45

-1.25m = -45

-1.25     -1.25

    m = 36

For a taxable income of $1,80,900, the effective tax rate is 21.11%.

Marginal tax is the tax rate applied to an individual’s last dollar of income. It is the additional tax that must be paid on any additional income earned. In other words, it is the tax rate that applies to an individual’s income after all deductions. For example, if an individual’s income is $50,000 and the marginal tax rate is 25%, then the individual must pay an additional $12,500 in taxes on top of the $25,000 in taxes already paid on their $50,000 income.

Marginal tax rates are progressive, meaning that as an individual’s income increases, the marginal tax rate will increase as well. The marginal tax rate is important to understand because it helps individuals determine how much additional income they will need to earn in order to make up for the taxes they will have to pay on that income. It is also important to understand how marginal tax rates can affect tax planning strategies.

To determine the effective tax rate for a taxable income of $180,900, calculate the sum of the marginal tax rates for each tax bracket that the $180,900 falls into. The taxable income of $180,900 is greater than $89,075 and less than $170,050. The marginal tax rates for these two tax brackets are 22% and 24%, respectively. The sum of the marginal tax rates is 46%. Divide the sum by the taxable income of $180,900 to get the effective tax rate of 21.11%. Round the final answer to the nearest hundredth to get 21.11%.

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Answer:

44 div by 4 = 11

the answer is 11

Step-by-step explanation:

Answer:

2^3*2^4=4^7 is wrong.

Step-by-step explanation:

2^3*2^4=2^7

Answer:

Step-by-step explanation:

\(2^{3}*2^{4}= 2^{3+4} = 2^{7} = 128\)

In exponents multiplication, if bases are same, we have to add the only  the powers

There can be several possibilities and causes

y>2x-1

y<2x-1

y≤2x-1

y≥2x-1

y=2x-1

Credit: Mister Brainly

There can be several possibilities and causes:

y>2x-1

Then line will be dashed and solution region to be shaded.

y<2x-1

Same like before

y≤2x-1

Solid line should be done and shading the solution region

y≥2x-1

Same like before

y=2x-1

A straight line and no shading

Answer:

10/50 or 1/5 or 20 % chance

Step-by-step explanation:

well to find this out we have to add all of the chocolates together

10+23+14+3

33+17

50

And then we divide the amount of dark chocolate by 50

And it will be 10/50 or 1/5

Answer: Please adjust the 37. The answer would be 40.

Step-by-step explanation:

23 + 17 obviously equals 40.

Answer:

Below

Step-by-step explanation:

5x >= 15     first solve for 'x' by dividing both sides by 5

x >= 5       graph on the number line should be a solid dot at 5 (because it includes '5') and going off to the right....looks like you have it correct.

Answer:

D.

Step-by-step explanation:

The dark triangle is 6cm and the light is 10.5cm

Answer:

D 16.5

Step-by-step explanation:

6x2=12 divided by 2 equal 6. Answer to left triangle

7x3=21 divided by 2 equal 10.5 answer to right

Then add 10.5 +6= 16.5

22 is an outlier in the given data since the difference between this value and other values in the data set is the largest.

Visually, we can see that 22 is an outlier in the given data since the difference between this value and other values in the data set is the largest

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Answer:

D 22

Step-by-step explanation:

(a) The expression under the conditions sin(θ - Ф) is  (5√(91) - 36) / 130.

(b)The expression under the conditions sin(θ + Ф)  is 7√5/85.

8.To evaluate the expression sin(θ - Ф), we need to use the the trigonometric identities:

sin(θ - Ф) = sin(θ) × cos(Ф) - cos(θ) × sin(Ф)

tan(θ) = 5/12 (in Quadrant III)

sin(Ф) = -3/10 (in Quadrant IV)

From the given information, we can determine the values of cos(theta) and cos(Ф) using the Pythagorean identity:

cos(θ) = 1 / √(1 + tan²(θ)) cos(Ф)

= √(1 - sin²(Ф))

Let's calculate these values:

cos(θ) = 1 / √(1 + (5/12)²)

= 12 / √(169)

= 12 / 13 cos(Ф)

= √(1 - (-3/10)²)

= √(1 - 9/100)

= √(91/100)

= √(91) / 10

Now we can substitute the values into the expression sin(θ - Ф):

sin(θ - Ф) = sin(θ) × cos(Ф) - cos(θ) × sin(Ф)

= (sin(θ) × cos(Ф)) - (cos(θ) × sin(Ф))

= (5/13) × (√(91)/10) - (12/13) × (-3/10)

= (5√(91) - 36) / 130

Therefore, sin(θ - Ф) = (5√(91) - 36) / 130.

9.To evaluate the expression sin(θ + Ф), we can use the trigonometric identities:

sin(θ + Ф) = sin(θ) × cos(Ф) + cos(θ) × sin(Ф)

sin(θ) = 8/17 (in Quadrant I)

cos(Ф) = -√5/5 (in Quadrant II)

We can determine the value of cos(θ) using the Pythagorean identity:

cos(θ) = √(1 - sin²(θ))

= √(1 - (8/17)²)

= √(1 - 64/289)

= √(225/289)

= 15/17

Now we can substitute the values into the expression sin(θ + Ф):

sin(θ + Ф) = sin(θ) × cos(Ф) + cos(θ) × sin(Ф)

= (8/17) ×(-√5/5) + (15/17) × (√5/5)

= -8√5/85 + 15√5/85

= 7√5/85

Therefore, sin(θ + Ф) = 7√5/85.

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The equation of the line parallel to the given line and passing through the point (-4, -6) is: y = -6

The given line goes through the points (-8, 4) and (8, 4).

Since the y-coordinates of both points are the same, the line is horizontal.

The equation of a horizontal line is given in the form y = k,

where k is the y-coordinate of any point on the line.
In this case, the equation of the given line is y = 4.
Now, we want to find the equation of a line that is parallel to the given line and passes through the point (-4, -6).

Since parallel lines have the same slope, and the slope of a horizontal line is 0, the line we're looking for will also be horizontal.

So, its equation will be in the form y = k as well.
The point (-4, -6) lies on this new line, and its y-coordinate is -6.

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Answer:

(5, 12, 13)

Step-by-step explanation:

Hello, please consider the following.

\((\forall (x,y) \in \mathbb{R}^2) \ \ (x^2-y^2)^2+(2xy)^2=(x^2+y^2)^2\\\\\text{You can develop both expressions to see that this is equal.}\\\\\text{After }(3,4,5)\text{ we can try the triple starting with }5\\\\\text{So, let's search x and y such that } 5=x^2-y^2=9-4=3^2-2^2\\\\\text{And, then, it comes}\\\\(3^2-2^2)^2+(2*3*2)^2=(3^2+2^2)^2\\\\<=> 5^2+12^2=13^2\\ \\\text{So, }(5,12,13)\text{ is a Pythagorean triple}\)

Is it a primitive one?

5 = 1 * 5

12 = 1 * 2 * 2 * 3

13 = 1 * 13

So this is a primitive one.

Thanks

Answer:

5, 12, 13

Step-by-step explanation:

By using the definition of inverse functions we can see that:

a) g(7) = -10

b)(-10,7) is a point on h(x).

c)(7, -10) is a point on j(x)

Remember that if two functions f(x) and g(x) are inverses, then:

f(y) = x

g(x) = y

And also g(f(x)) = x = g(f(x)).

Here we know that functions h(x) and j(x) are inverses, and we also know that:

h(-10) = 7

So for the input -10, we have the output 7.

Then, by using the relation written above, we know that for the inverse function we must have:

j(7) = -10

That is the answer for a.

And for b and c the notation is (input, output), then:

These are the answers of points B and C of the question.

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Answer:

48

Step-by-step explanation:

Answer:

48   because i divided it

Answer:

t≤135

Step-by-step explanation:

In this scenario, each man shakes hands with all the other men (excluding himself) and with all the women (excluding his spouse). Therefore, each man shakes hands with \($25$\) people in total.

Since there are \($13$\) married couples, there are \($13$\) men and \($13$\) women. Hence, the total number of handshakes involving men is \($13 \times 25 = 325$\).

As for the women, they do not shake hands with each other, so we only need to consider the handshakes involving men. Therefore, the total number of handshakes among these \($26$\) people is \($325$\).

If you would like to represent this solution using LaTeX code, you can use the following snippet:

\(\text{Number of handshakes involving men} \\\\= \text{Number of men} \times \text{Number of handshakes per man} \\\\= 13 \times 25 = 325\)

Therefore, the total number of handshakes among the \($26$\) people is \($325$\).

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The root of the function \(\(f(x) = 5\cos(x) - \sqrt{x^2 + 1} + 2^{x-1}\)\) lies within the interval \(\([-1, 0]\)\).

To find the interval where the root of the given function lies, we need to analyze the behavior of the function within certain intervals. Let's consider the interval  \(\([-1, 0]\)\).. For \(\(x = -1\)\), we have \(\(f(-1) = 5\cos(-1) - \sqrt{(-1)^2 + 1} + 2^{-2}\)\). Since \(\(\cos(-1)\)\) is positive and the other terms are also positive, the value of \(\(f(-1)\)\) is positive.

Now, for \(\(x = 0\)\), we have \(\(f(0) = 5\cos(0) - \sqrt{0^2 + 1} + 2^{-1}\)\). Since \(\(\cos(0)\)\) is positive and the other terms are positive, the value of \(\(f(0)\)\) is positive.

As the function is continuous, and it changes sign from positive to negative within the interval  \(\([-1, 0]\)\) (as \(\(f(-1)\)\) and \(\(f(0)\)\) have different signs), by the Intermediate Value Theorem, there exists at least one root of the function within this interval. Therefore, we can conclude that the root of \(\(f(x)\)\) lies within the interval  \(\([-1, 0]\)\).

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The reference to beetles in lines 5-6 serves to suggest that: effective negotiation requires identifying with a different viewpoint (Option D).

In a comprehension passage, some questions are given that follow the passage. The questions are to be answered by using the data given in the passage, even if it differs from real-life facts.

Now,

Hence, the most appropriate option is D, i.e., The reference to beetles in lines 5-6 serves to suggest that: effective negotiation requires identifying with a different viewpoint (Option D).

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Answer:

48

Step-by-step explanation:

192/4=48

Hope this helps!!!

Answer:

48 students

Step-by-step explanation:

Given that:

192 student are in 4 buses

To Find:

How many students are in each bus

Solution:
To find how many students are in each bus we have to divide. 192 by 4.

192 ÷ 4  which given us 48.

Therefore, there are 48 students in each bus.

~lenvy~

(a) sin⁻¹(-1/2) = -π/6, (b) sin⁻¹(3√2) does not have a solution in the interval [-π/2,π/2]. (c) sin⁻¹(-3√2) does not have a solution in the interval [-π/2,π/2].

(a) The inverse sine function sin⁻¹(x) returns the angle whose sine is x. In this case, we want to find the angle whose sine is -1/2. Since the sine function is negative in the third quadrant and the range of sin⁻¹(x) is [-π/2,π/2], the angle we are looking for is in the fourth quadrant.

Therefore, we use the reference angle π/6 and add a negative sign to get -π/6 as our final answer.

(b)  The inverse sine function sin⁻¹(x) returns the angle whose sine is x. In this case, we want to find the angle whose sine is 3√2. However, since the range of the sine function is [-1,1], there is no angle whose sine is greater than 1.

Therefore, this expression does not have a solution in the interval [-π/2,π/2].

(c)  The inverse sine function sin⁻¹(x) returns the angle whose sine is x. In this case, we want to find the angle whose sine is -3√2. However, since the range of the sine function is [-1,1], there is no angle whose sine is less than -1.

Therefore, this expression does not have a solution in the interval [-π/2,π/2].

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2/5 fraction as a decimal is 0.4.

Any number that is expressed as a fraction has two components, the numerator and the denominator. Typically, we divide the numerator by the denominator to convert a fractional number to decimal form. The formula p/q, where q=0, is used to denote fractions. While the decimal numbers, such as 7.575, are created by joining the entire number and fractional parts with a decimal point. 

There are two methods to convert fraction to decimal which are given below:

For 2/5

We will divide them as mentioned above,

2/5 = 0.4

Hence, 2/5 is equal to 0.4 in decimal form.

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ABDC is a rectangle, we can conclude that AD is congruent to BC.

What is Triangle ?

Triangle can be defined in which it consists of three sides, three angles and sum of three angles is always 180 degrees.

In the given diagram, we have a parallelogram ABCD. To prove that AD is congruent to BC, we need to show that ABDC is a rectangle.

Here's the proof:

Since ABCD is a parallelogram, we know that:

AB is parallel to CD

BC is parallel to AD

Also, we have:

∠A + ∠B = 180° (opposite angles of a parallelogram)

∠D + ∠C = 180° (opposite angles of a parallelogram)

From the diagram, we can see that:

∠A + ∠D = 180° (adjacent angles of a parallelogram)

∠B + ∠C = 180° (adjacent angles of a parallelogram)

Adding the last two equations, we get:

∠A + ∠D + ∠B + ∠C = 360°

But we know that the sum of the angles in a rectangle is 360°. Therefore, if we can prove that ABDC is a rectangle, we can conclude that AD is congruent to BC.

To show that ABDC is a rectangle, we need to prove that:

AB is perpendicular to BC

BC is perpendicular to CD

CD is perpendicular to AD

AD is perpendicular to AB

Since AB is parallel to CD and BC is parallel to AD, we can conclude that ∠ABC and ∠CDA are alternate interior angles and are therefore congruent. Similarly, ∠ABD and ∠DCB are alternate interior angles and are congruent.

Now, we can prove that ABDC is a rectangle by showing that all its angles are right angles. We can do this by proving that:

∠ABC + ∠ABD = 90° (interior angles of a triangle)

∠CDA + ∠DCB = 90° (interior angles of a triangle)

Since ∠ABC and ∠CDA are congruent, and ∠ABD and ∠DCB are congruent, we have:

∠ABC + ∠ABD = ∠CDA + ∠DCB

Substituting the values of these angles, we get:

2∠ABC = 2∠CDA

∠ABC = ∠CDA

Therefore, ∠ABC and ∠CDA are both 45 degrees. Similarly, we can show that ∠ABD and ∠DCB are both 45 degrees. Hence, all angles of ABDC are 90 degrees, and we have proven that ABDC is a rectangle.

Since , ABDC is a rectangle, we can conclude that AD is congruent to BC.

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Answer:

7x(3c)

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

7 more then, start with +7. 3 multiplied by c is 3c. Therefore, it would be 7+3c

Answer:

cos S=

√74/11..................

Answer:

m∠1 = 67

Step-by-step explanation: