In AVWX, m/V = (4x+3)°, m/W = (x+7)°, and m/X = (5x+0)º.
What is the value of z?
1
O
0

Answer:

B = x = 44 degrees

Step-by-step explanation:

Interior angles of a triangle = 180 degrees.

There are 2 congruent sides so the angle to the right of 67 degrees is also 67 degrees

180 - 2(67) = 46 degrees (the third angle of the triangle)

x + 46 degrees = 90 degrees ( complementary angles)

x = 44 degrees

Answer:

Lol I’m doing the same thing

Step-by-step explanation:

The simplification of the expression is  \(\frac{15\sqrt{2} }{4}\)

First, find the factors of the number that ahs square root

Given,

= \(\frac{5}{\sqrt{2} } + \frac{9}{\sqrt{6} } - \frac{2}{\sqrt{50} } + \sqrt{32}\)

Multiply the numerators by the surd of the denominators

= \(\frac{5 *\sqrt{2} }{\sqrt{2}*\sqrt{2 } } + \frac{9 *\sqrt{8} }{\sqrt{8}* \sqrt{8} } - \frac{2 *\sqrt{50} }{\sqrt{50 * \sqrt{50} } } + \sqrt{32}\)

Multiply through and find their square root

= \(\frac{5\sqrt{2} }{2} + \frac{18\sqrt{2} }{8 } - \frac{10\sqrt{2} }{50} + 16\sqrt{2}\)

To simply, we have

= \(\frac{5\sqrt{2} }{2}+ \frac{9\sqrt{2} }{4} + \frac{1\sqrt{2} }{5} + 16\sqrt{2}\)

Find the LCM

= \(\frac{10\sqrt{2} + 45\sqrt{2}+ 4\sqrt{2} + 16\sqrt{2} }{20}\)

Add through

= \(\frac{75\sqrt{2} }{20}\)

= \(\frac{15\sqrt{2} }{4}\)

Thus, the simplification of the expression is  \(\frac{15\sqrt{2} }{4}\)

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Answer:

A

Step-by-step explanation:

Antonia: 150 x 12 + 4,500 = 6,300

Cal: 250 x 12 + 3,400 = 6,400

Answer:

25

Step-by-step explanation:

45-5(5 years older)= 40

40÷2 =20

Shaniya has 20

and Kiana 25

Answer:

Kiana=5 years.

shaniya=?

Sum=45

Step-by-step explanation:

5+40=45

•°• shaniya is 45 years old

Answer:

8.25 Hours she worked last week

Step-by-step explanation:

Answer:

x = -2/7 or

x = 6/7

Step-by-step explanation:

|7x-2| + 3 = -1  subtract 3 from both sides

|7x-2| = -4 now there are two probabilities

7x-2 = -4 or

7x-2 = 4 if first probability the value of x would be:

7x-2 = -4 add 2 to both sides

7x = -2 divide both sides by 7

x = -2/7 for the second probability the value of x would be:

7x-2 = 4 add 2 to both sides

7x = 6 divide both sides by 7

x = 6/7

The two inequalities that were written for the problem are 2n-1<5 or 2n-1>5.

These inequalities are known as compound inequalities. A compound inequality is an inequality that contains two or more inequalities joined by the words "and" or "or". In this case, the word "or" is used to join the two inequalities. The symbol < means less than and > means greater than. To solve this problem, we need to determine which of the two inequalities is true. We can solve both inequalities separately to determine the answer. The first inequality 2n-1<5 is true when n<3. The second inequality 2n-1>5 is true when n>3. Therefore, the statement "2n-1<5 or 2n-1>5" is true when n<3 or n>3. This means that n can be any number except for 3.

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The simple multiplier of the economy represented by the system of equation above is: 4/7.

The simple multiplier is the ratio of the change in equilibrium output to a change in autonomous expenditures, such as government spending or investment.

To find the simple multiplier in the economy, we need to first determine the equation for equilibrium output, which is where aggregate demand (AD) equals aggregate supply (AS).

Setting y in both equations equal to each other, we get:

710 - 30p + 5g = 10 + 5p - 2s

Simplifying and rearranging, we get:

35p = 700 + 2s - 5g

p = (20/7) + (2/35)s - (1/7)g

Now that we have the equilibrium price, we can substitute it back into the AD equation to find the equilibrium output (y):

y = 710 - 30[(20/7) + (2/35)s - (1/7)g] + 5g

y = (400/7) + (6/7)s + (4/7)g

The simple multiplier is then equal to the change in equilibrium output divided by the change in government purchases:

simple multiplier = Δy/Δg = 4/7

Therefore, the simple multiplier in the economy is 4/7.

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To qualify for the second discount, the valuation must've been greater than $100, so 90% of 199.99 = 199.99/100*90 = $179.991. (Price after 1st discount) As well as, yes, you are good enough to qualify for a second discount.

Because the price following the initial discount is greater than $100, it qualifies for the second discount.

After the second 10% discount, the price is 179.991/100*90 = $161.9919.

Savings = 199.99 minus 161.9919 = 37.9981 = 38 dollars saved.

*Please keep in mind that you do not receive a -20% discount from the original price, as it states 10% after the first discount.

The following are five common discount strategies:

Discounts for frequent customers are known as loyalty discounts.

Discounts for buying and selling in a competing item are known as trade discounts.

Cash discounts are rewards for paying with cash rather than credit.

Quantity discounts are incentives to buy more of the same good or service.

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Given:

Required:

To solve the given equation by factoring method.

Explanation:

Consider

And

Final Answer:

The expected temperature in Peoria Illionis on february 15 is 22.028≈22 degrees farenheit.

A measure of the temperature at high elevations in the Earth's atmosphere is called the atmospheric temperature. Many factors, such as incoming solar radiation, humidity, and altitude, affect it.

The average daily temperature in Peoria Illionis can be predicted by given formula ,

\(T=50-28cos[\frac{2\pi (x-31)}{365} ]\)

where , x is the number of day in year.

February 15 is (31+15)th day of the year

therefore, February 15 1s 46th day of the year.

now in the given formula,

\(T=50-28cos[\frac{2\pi (x-31)}{365} ]\\\\T=50-28cos[\frac{2\pi (46-31)}{365} ]\\\\T=50-28cos[\frac{2\pi (15)}{365} ]\\\\T=50-28cos[\frac{30\pi}{365} ]\\\\T=50-28cos[0.258]\\\\T=50-28(0.999)\\\\T=50-27.972\\\\T=22.028\)

So , the expected temperature on february 15 is 22.028≈22 degrees farenheit.

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Answer:

(0-5)=-5

-5-5 = 0

x=0

Step-by-step explanation:

Step-by-step explanation:

4520 = 100%

1% = 100%/100 = 4520/100 = $45.20

6% = 1%×6 = 45.20×6 = $271.20

so, in total I would earn

400 + 271.2 = $671.20

in that week.

Answer:

$8.98

Step-by-step explanation:

Divide 26.94 by 3

Answer: $8.98

Step-by-step explanation:

26.96/3= 8.98

The equation of the line that is perpendicular to the given line and that passes through the given points is x + 3y = 6

From the question, we are to determine the equation of the described line.

First,

We will determine the slope of the line that the equation was given.

The equation of the line is

y = 3x - 9

Comparing the equation to the general form of the equation of a straight line

y = mx + b

Where m is the slope

and b is the y-intercept

Thus,

By comparison,

m = 3

That is, the slope of the given line is 3

NOTE: Two lines are perpendicular if the product of their slope is -1.

That is,

m₁ × m₂ = -1

3 × m₂ = -1

m₂ = -1/3

The slope of the line that is perpendicular to the given line is -1/3.

We have that the line passes through the point (3, 1).

Then,

Using the point-slope form of the equation of a line

y - y₁ = m(x - x₁)

m = -1/3

x₁ = 3

y₁ = 1

Then,

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

Multiply through by 3

3(y -1) = -1(x - 3)

3y - 3 = -x + 3

3y + x = 3 + 3

x + 3y = 6

Hence, the equation of the line that is perpendicular to the given line and that passes through the given point is x + 3y = 6

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Iota, also known as the symbol , is denoted as being the square root of -1. Since square roots of negative numbers do not exist, there is a variable that represents it complexly. In fact, every real number (a) can be represented using the form (a) + (0).

On occasion, variables can also use and it does not have to be talking about the square root of -1. However, this rarely ever happens to avoid confusion. Check instructions in questions to see how is defined.

Answer:

44 answers

Step-by-step explanation:

80% of total questions are answered, ie 80% of 55 questions are answered.

So, (80/100) x 55 , ie 44 questions are answered.

Assuming that all answered questions are correct, 44 answers are correct.

The measure of the smallest angle in a right triangle is 22.6°

Now, According to the question:

The sides are given of right triangle are:

In the right triangle ABC

Base's side of triangle is (AB)= 5

Altitude's side of triangle is (BC) = 12

Hypotenuse 's side of triangle (CA) = 13  

We know that

In the right triangle ABC

tan(A) = BC/AB

Substitute the values:

tan(A) = 12/5

A = \(tan^-^1\) (12/5) = 67.4°

Find the measure of angle C

Remember that

m < A + m < C = 90°    (By Complementary angles)

m < C = 90° - 67.4° = 22.6°

Hence, The measure of the smallest angle in a right triangle is 22.6°

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Answer:

-0.5x^2 - 5x - 0.8

Step-by-step explanation:

The 2 zeroes of the function are at x = -8 and x = -2 so we can write the quadratic as

y = a(x + 2)(x + 8)   where a is a value to be found.

When x = -6, y = 4 so:

4 = a(-6+2)(-6 + 8)

4 = -8a

a = -0.5

The function is:

-0.5(x + 2)(x + 8)

= -0.5(x^2 + 10x + 16)

= -0.5x^2 - 5x - 0.8

Answer:

uh 3x+24 only if the the number is x if it is definite just plug it in to the equation

Step-by-step explanation:

Hello, sorry for taking half an hour to respond.

a) If x represents the number of students in her class, we have :

The cost of a calculator on website C : 480 : x
The cost of a calculator on website D : 480 : (x+4)

b) We call the price of a calculator on website C as a, and the price on website D is a-6
Let's also call the amount of calculators if we buy on website C as d, and the amount of calculators if we buy on website D as d + 4

We have :

a.d = (a-6)(d+4)
Break the brackets out : ad = ad-6d + 4a - 24
=> -6d + 4a - 24 = 0
Divide both sides by 2
=> -3d + 2a - 12 = 0

=> 2a = 3d + 12

So, d is divisible by 3, and a is divisible by 2 => ad is divisible by 6.

And ad x the amount of students = 480

So, we can conclude that the amount of students is a factor of 80

Let's list out all of them : 1,2,4,5,8,10,16,20,40,80.

If there was 20 students :

The price of each calculator would be : 480 : 20 = 24

If it's 6 cheaper, it would be 24-6 = 18

And she would've gotten 480 : 18 (not divisible)

If you keep replacing like that, you'll eventually get the answer. I don't have time left, so the answer is 16 students. Hope it helps.

One way to determine whether a point is a solution to a two-variable inequality is to substitute the values of the variables in the inequality and determine whether the inequality is true or false. If the inequality is true, the point is a solution, and if the inequality is false, the point is not a solution.

For example, consider the inequality 2x + 3y > 7. Let’s see if the point (1,2) is a solution. To do so, substitute x=1 and y=2 into the inequality:2(1) + 3(2) > 7 Simplify to get:2 + 6 > 7 This is true, so the point (1,2) is a solution to the inequality. Conversely, let’s see if the point (4,-1) is a solution. To do so, substitute x=4 and y=-1 into the inequality:2(4) + 3(-1) > 7 Simplify to get:8 - 3 > 7 This is false, so the point (4,-1) is not a solution to the inequality .There are some general rules that can be followed to help determine which side of a line is shaded in an inequality. If the inequality is greater than or less than, the line should be dashed, and the shading should be above or below the line, respectively. If the inequality is greater than or equal to or less than or equal to, the line should be solid, and the shading should be above or below the line, respectively.

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To vertically expand a function by a factor of 2, we multiply the function by 2. Thus, the transformed function becomes g(x) = 2f(x) = \(2(x^3)\).

To translate a function down 2 units, we subtract 2 from the original function. Thus, the transformed function becomes h(x) = g(x) - 2 = 2\((x^3)\) - 2.

So the equation of the transformed function is h(x) = 2\((x^3)\) - 2.

Graphically, the transformation of the function f(x) = \(x^3\) into h(x) = 2\((x^3)\) - 2 means that the graph of h(x) is twice as tall as the graph of f(x) and shifted 2 units downwards. The transformation stretches the function vertically without changing its shape, and then moves it downward by the specified amount.

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To ensure that the function f(x) is continuous at every 'x', we need to make sure it's continuous at the point x = 3. For a function to be continuous, the left-hand limit, right-hand limit, and the function value at the point should all be equal. Let's evaluate the limits:

1. Left-hand limit (x < 3): lim(x->3-) f(x) = lim(x->3-) x^2 = 3^2 = 9
2. Right-hand limit (x ≥ 3): lim(x->3+) f(x) = lim(x->3+) 2ax = 2a(3) = 6a
3. Function value at x = 3: f(3) = 2a(3) = 6a

For f(x) to be continuous, the left-hand limit, right-hand limit, and function value at x = 3 must be equal:

9 = 6a

To solve for 'a', divide both sides by 6:

a = 9/6 = 3/2

So, the value of 'a' that makes f(x) continuous at every 'x' is 3/2.

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Answer:

-14.5

Step-by-step explanation:

To get the calculator and type 2.2+0.3-13-4

(a) A monotonic transformation of a utility function refers to a transformation that preserves the relative ranking of utility levels but does not change the underlying preferences. It involves applying a strictly increasing function to the original utility function.

(b) The indifference curves for utility levels u(x1, x2) = 10, u(x1, x2) = 20, and u(x1, x2) = 30 can be drawn based on the utility function u1(x1, x2) = 6x1 + 9x2. These curves represent combinations of goods (x1, x2) that provide the same level of utility.

(c) Similarly, the indifference curves for utility levels u(x1, x2) = 10, u(x1, x2) = 20, and u(x1, x2) = 30 can be drawn based on the utility function u2(x1, x2) = 2x1 + 3x2.

(d) u1(x1, x2) is a monotonic transformation of u2(x1, x2) because it involves multiplying the utility function u2 by a positive constant. Both utility functions describe the same preferences as they represent different linear transformations of the same underlying preferences, resulting in parallel but equally informative indifference curves.

(a) A monotonic transformation of a utility function is a transformation that does not alter the preferences of an individual. It involves applying a strictly increasing function to the original utility function. This transformation preserves the ranking of utility levels, meaning that if one combination of goods gives higher utility than another in the original function, it will still give higher utility in the transformed function.

b) For the utility function u1(x1, x2) = 6x1 + 9x2, we can draw indifference curves for utility levels u(x1, x2) = 10, u(x1, x2) = 20, and u(x1, x2) = 30. These curves represent all the combinations of goods x1 and x2 that provide the same level of utility according to the utility function u1.

(c) Similarly, for the utility function u2(x1, x2) = 2x1 + 3x2, we can draw indifference curves for utility levels u(x1, x2) = 10, u(x1, x2) = 20, and u(x1, x2) = 30. These curves represent the combinations of goods x1 and x2 that provide the same level of utility according to the utility function u2.

(d) u1(x1, x2) is a monotonic transformation of u2(x1, x2) because it involves multiplying the utility function u2 by a positive constant. Both utility functions describe the same preferences as they represent different linear transformations of the same underlying preferences. The indifference curves for both utility functions are parallel but equally informative, meaning they represent the same ranking of utility levels. Therefore, u1(x1, x2) and u2(x1, x2) can describe the same preferences.

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Answer:

\(quadrilateral \\ rectangle \\ parallellogram \\ \\ \\ \\ all \: the \: three \: except \: square..\)

Answer:

E. not enough info given

Step-by-step explanation:

If you were talking about the median, it is 50%

The number in the parentheses is the rate of change. Because this number is less than 1 it is a decrease, so it is a decay.

The percent decrease is 1 - 0.63 = 0.37 = 37% decrease