Does the sum of angles of any triangle will always equal 180 degrees?

Answer:

give heaven some hell by Hardy

Step-by-step explanation:

Answer:

O The value of f(2) is smaller than the value of f(1).

Step-by-step explanation:

First, let's solve for both. When the problem says f(1) or f(2), this just means that the x value is equal to that. So:
f(1) = -5(1)^2 + 2(1) + 9 = 6
f(2) = -5(2)^2 + 2(2) + 9 = -7
Since f(1) = 6 and f(2) = -7, we know that f(1) is greater than f(2). Therefore, the value of f(2) is smaller than the value of f(1)

Answer:

D

Step-by-step explanation:

the equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

y = \(\frac{1}{2}\) x + 3 ← is in slope- intercept form

with slope m = \(\frac{1}{2}\)

• Parallel lines have equal slopes , then

y = \(\frac{1}{2}\) x + c ← is the partial equation

to find c substitute (2, - 4 ) into the partial equation

- 4 = \(\frac{1}{2}\) (2) + c = 1 + c ( subtract 1 from both sides )

- 5 = c

y = \(\frac{1}{2}\) x - 5 ← equation of parallel line

The f(x) = (3/2)ˣ is the correct function that represents the given exponential graph.

An exponential graph is a type of graph that represents an exponential function. An exponential function is a mathematical function in which a constant base is raised to a variable exponent. The general form of an exponential function is: y = a * bˣ.

A graph is a visual representation of data or information that allows us to quickly and easily understand patterns, trends, and relationships. Graphs are used to present information in a way that is easy to interpret and understand.

In the given question,

The function that represents the exponential graph given that (0, 1) and (4, 81/16 ) are points that lie on the graph is:

f(x) = (3/2)ˣ

To verify that this is the correct function, we can substitute x=0 and x=4 into the function to see if the corresponding y-values match the given points on the graph.

When x=0, f(0) = (3/2)⁰ = 1, which matches the point (0, 1).

When x=4, f(4) = (3/2)⁴ = 81/16, which matches the point (4, 81/16).

Therefore, f(x) = (3/2)ˣ is the correct function that represents the given exponential graph.

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Step-by-step explanation:

2.5 km = 250000 cm

250000 cm /20000 = 12.5 cm on the map

12.5 cm ^2  x 20 0000 x 20 000   = 5 000 000 000 cm^2 = 500 000 m^2  

The expression for f(x) is -3x² - 2

Transformation can be any of the following.

Given that g(x) = -3x² + 7

if the graph of g is translated vertically downward by 9 units, that means to get f(x), minus 9 from g(x). That is,

f(x) = -3x² + 7 - 9

f(x) = -3x² - 2

Therefore, the expression for f(x) is -3x² - 2

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Answer:

\(g'(x) = \dfrac{5 *(25x^2-1)}{(25x^2+1)}- \dfrac{4 * (16x^2-1)}{(16x^2+1)}\)

Step-by-step explanation:

Given that:

\(g(x) = \int^{5x}_{4x} \dfrac{u^2-1}{u^2+1} \ \ du\)

Then: the derivative of the function is as follows:

\(g'(x) = \dfrac{(5x)^2-1}{(5x)^2+1} \ \ \dfrac{d}{dx}(5x) -\dfrac{(4x)^2-1}{(4x)^2+1} \ \ \dfrac{d}{dx}(4x)\)

\(g'(x) = \dfrac{5 *(25x^2-1)}{(25x^2+1)}- \dfrac{4 * (16x^2-1)}{(16x^2+1)}\)

Answer:

42 in

Step-by-step explanation:

12 x 3 = 36

1/2 foot = 6 in

36 + 6 = 42

Answer:

Vc = (π/3)✓17 ≈ 4.12 ft³

Step-by-step explanation:

h = ✓(4²+1²)

h = ✓17

V = πr²h/3

V = π(1)²✓17/3

V = (π/3)✓17 ≈ 4.12

Answer:

It should be the third option.

Step-by-step explanation:

The second expression is 2(3x+1)

Just substitute 2 as x.

2(3(2) + 1)

2(6 + 1)

2(7)

14

Since both expressions are equal to 14, both expressions are equivalent.

The value of y in the triangle is 2√10 units.

Two triangles are said to be similar if their corresponding angles are congruent and the corresponding sides are in proportion .

The value of y can be found using the similar triangle ratios as follows:

Hence,

8 / y = y / 5

cross multiply

y² = 8 × 5

y²= 40

square root both sides of the equation

y = √40

Therefore,

y = 2√10 units

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Step-by-step explanation:

Given : The graph of f(x) = In (x)

To find : How would you describe the graph of g(x) = In(x)/3

Solution :

The functions are :

g(x) is in the form of,

Where, k is stretch factor.

If k>1, then it represents vertical stretch

If k<1, then it represents vertical compression.

We know,

The g(x) represent the vertical compression by a factor of

We plot the graph of both the functions.

The g(x) represent the vertical compression by a factor of

Refer the attached graph below.

Therefore g(x) compresses f(x) by a factor of 1/3

Hence the correct answer is Option A

Answer:

The mean is of 33.6

The margin of error is of 5.2.

Step-by-step explanation:

Confidence interval concepts:

A confidence interval has two bounds, a lower bound and an upper bound.

A confidence interval is symmetric, which means that the point estimate used is the mid point between these two bounds, that is, the mean of the two bounds.

In this question:

Lower bound: 28.4

Upper bound: 38.8

Mean

(28.4+38.8)/2 = 33.6.

The mean is of 33.6

Margin of error:

(38.8 - 28.4)/2 = 5.2

The margin of error is of 5.2.

The measure of the angle x is 100 degree if the polygon has 5 sides. The interior angle measures are 117°, 104°, 113°, 106°,

A polygon is a geometric figure with a finite number of sides in two dimensions. On the sides or edges of a polygon, straight-line segments are joined end to end to form a closed shape. The vertices, also known as corners, are the points where two line segments meet and form an angle.

We know the sum of the interior angles in a polygon is given by:

= 180(n - 2)

= 180(5-2)   (n = 5)

= 540 degree

117°+104°+113°+106°+x = 540

440 + x = 540

x = 100 degree

Thus, the measure of the angle x is 100 degree if the polygon has 5 sides. The interior angle measures are 117°, 104°, 113°, 106°,

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Answer:

0, 1/4, and 1/3 chances

Step-by-step explanation:

First add all the marbles up.

10 + 6 + 8 = 24

There are no red marbles ever mentioned, so the probability of a marble being red is 0, no chance.

There are 6 green marbles, so that's a 6/24 chance, or 1/4.

There are 8 yellow marbles, so that's a 8/24 chance, or 1/3.

Hope this helps :)

The graph of y=-3x-1 is given in the attachment.

Graph is a mathematical representation of a network and it describes the relationship between lines and points.

The given equation is  y=-3x-1

The slope intercept form of a line is y=mx+b, where m is slope and b is the y intercept.

In the given equation slope is -3.

Let us find few values of x and y.

x    0    1    2     3    4

y    -1   -4   -7    -10  -13

Hence, the graph of y=-3x-1 is given in the attachment.

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Originality is the quality of being unique, new, and innovative. It requires creativity, imagination, inspiration, and nonobviousness. Special or interesting aspects may be present, but they are not sufficient to define originality.

Originality refers to the quality of being unique, new, and innovative. It involves creating something that has not been seen or experienced before. The best description of originality is that it is having a low probability and being unique.

An original idea, product, or work of art is something that has not been copied or imitated from others. It represents a new perspective or approach that can offer a fresh insight into a problem or challenge. Originality requires a high level of creativity, imagination, and inspiration, as well as a willingness to take risks and explore new possibilities.

Nonobviousness is also an important factor in originality. It means that the idea or invention is not something that would be obvious to someone skilled in the same field or industry. In other words, an original idea should not be something that could be easily predicted or anticipated.

Special or interesting are also characteristics of originality, but they are not sufficient to define it. An idea or product can be special or interesting without being truly original. For example, a new flavor of ice cream may be interesting, but it may not be original if it has already been created by someone else.

Convergent thinking, on the other hand, involves finding a single solution to a problem. It is the opposite of divergent thinking, which involves generating multiple ideas and possibilities. Convergent thinking is important for finding effective solutions to problems, but it is not the same as originality.

In conclusion, originality is the quality of being unique, new, and innovative. It requires creativity, imagination, inspiration, and nonobviousness. Special or interesting aspects may be present, but they are not sufficient to define originality.

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Answer:

sry sry sry sry sry can't answer

Answer:

x = 90

Step-by-step explanation:

The given diagram shows a circle with intersecting chords, KM and JL.

To find the value of x, we can use the Angles of Intersecting Chords Theorem.

According to the Angles of Intersecting Chords Theorem, if two chords intersect within a circle, the angle formed at the intersection point is equal to half the sum of the measures of the arcs intercepted by the angle and its corresponding vertical angle.

Let the point of intersection of chords KM and JL be point P.

As the chords are straight lines, angle x° forms a linear pair with angle JPM.

Note: We cannot use the Angles of Intersecting Chords Theorem to find the value of x directly, since we have not been given the measures of the arcs KJ and ML. Therefore, we need to use the theorem to find m∠JPM first.

From inspection of the given diagram:

Using the Angles of Intersecting Chords Theorem, we can calculate the measure of angle JPM (shown in orange on the attached diagram):

\(\begin{aligned}m \angle JPM &=\dfrac{1}{2}\left(m\overset\frown{JM}+m\overset\frown{LK}\right)\\\\&=\dfrac{1}{2}\left(30^{\circ}+(2x-30)^{\circ}\right)\\\\&=\dfrac{1}{2}\left(30^{\circ}+2x^{\circ}-30^{\circ}\right)\\\\&=\dfrac{1}{2}\left(2x^{\circ}\right)\\\\&=x^{\circ}\end{aligned}\)

As angle JPM forms a linear pair with angle x°, the sum of the two angles equals 180°:

\(\begin{aligned}m \angle JPM+x^{\circ}&=180^{\circ}\\\\x^{\circ}+x^{\circ}&=180^{\circ}\\\\2x^{\circ}&=180^{\circ}\\\\\dfrac{2x^{\circ}}{2}&=\dfrac{180^{\circ}}{2}\\\\x^{\circ}&=90^{\circ}\\\\x&=90\end{aligned}\)

Therefore, the value of x is 90, which means that the two chords intersect at right angles.

According to the quantity theory of money, changes in the money supply will lead directly to changes in the price level if velocity and real GDP are unaffected by the change in the money supply.Velocity can change over time, and changes in velocity may be caused by various factors.

For example, changes in velocity can be caused by shifts in payment practices, changes in the use of credit, changes in the availability of bank deposits or cash, or shifts in demand patterns.Changes in velocity may be related to changes in the money supply.

For example, if the money supply increases, the demand for money may increase, causing the velocity of money to decrease. Conversely, if the money supply decreases, the demand for money may decrease, causing the velocity of money to increase.

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Answer:

5 7/15 = D

Step-by-step explanation:

Find a common denominator multiply the many times you did to the denominator to the numerator then subtract.

15 is your common denominator so I would multiply 5 to 2 to get 9 10/15 then I would multiply 3 to 1 to get 4 3/15

Answer:

5 7/15

Step-by-step explanation:

Let's solve your equation step by step.

We will solve it in just 3 simple steps.

Step 1: Converting into Improper Fraction.

Converting into an Improper Fraction is the only way to subtract fractions.

We will turn 9 2/3 into 29/3

First you need to know:

What is a numerator?

What is a denominator?

What is a whole number?

If you know, you can skip this part.

A denominator is the lower number below the line in a fraction. (ex. 2/3 <-- "3" is the denominator)

A numerator is the higher number above the line in a fraction. (ex. 2/3 <---"2" is the numerator)

A whole number is a number that has no fraction or decimal. (ex. "3" or "2" or "7".)

With that said, let's solve.

In 9 2/3, "9" is the whole number. "2" is the numerator, and "3" is the denominator.

We always multiply the whole number by the denominator, then we add the numerator.

So:

(9 x 3) + 2 = 29

Then, we keep the denominator the same. "3".

We then get:

29/3. Which is what we want.

Let's repeat the same steps with 4 1/5.

(4 x 5) + 1 = 21

Keep the denominator : 21/5

Now we are on Step 2.

We currently have 29/3 - 21/5

But we don't have the denominators the same.

We need to find the LCD (Least Common Denominator of 3 and 5.  

Since these numbers are less than 10, my trick is to just multiply them together. 3 x 5 = 15, simply put.

Now, let's change all the denominators to 15. Now let's change the numerators.

For the fraction that had 3 as the denominator, let's multiply 5 to it. And for the fraction that had 5 as the denominator, let's multiply 3 to it.

We then get :

145/15 - 63/15

We are now on Step 3.

This step is simple. Just subtract 145 - 63 because the denominators are the same.

145 - 63 = 82

We now have 82/15.

This is the answer, but we always need to simplify it.

How many times can 15 fit into 82? 5. But we have 7 left over.

So we now have :

5 7/15

Answer: (A)

\(H_0:\mu=75\\H_a:\mu\neq75\)

(B)

\(H_0:\mu=24\ sec\\H_a:\mu>24\ sec\)

(C)

\(H_0:\mu=850\ ft^2\\H_a:\mu<850 \ ft^2\)

Step-by-step explanation:

(A)  Objective: Scores in second-year calculus are scaled so the average each year is equivalent to a 75 or not.

\(H_0:\mu=75\\H_a:\mu\neq75\)

(B) Objective: The mean time is 24 seconds or more for one particular maze.

\(H_0:\mu=24\ sec\\H_a:\mu>24\ sec\)

(C) Objective: The average square footage of one-bedroom apartments in a new student-housing development is advertised to be 850 square feet or smaller.

\(H_0:\mu=850\ ft^2\\H_a:\mu<850 \ ft^2\)

To understand what is a solution we need to state first what is an equation:

Equation is a mathematical statement that is formed by

9514 1404 393

Answer:

  20 pounds

Step-by-step explanation:

Often, mixture problems are worked by writing two equations: one for the total quantity of constituents in the mix, and one for the total price of the mix. When these equations are solved by substitution, the first step is to write one quantity in terms of the other.

You can save an equation and a step by using one variable for quantity. It usually works best to let the variable represent the highest-cost (or most concentrated) contributor. Here, that is the quantity the problem asks for, so ...

Let c represent the number of pounds of cashews needed to be mixed with the peanuts. Then the revenue from selling the mix is ...

  80($1.50) +c($4.00) = (80+c)($2.00)

  120 +4c = 160 +2c . . . . . divide by $, simplify

  2c = 40 . . . . . . . . . . . . . subtract 120+2c from both sides

  c = 20 . . . . . . . . . . . . . divide by 2

The manager should mix 20 pounds of cashews with the 80 pounds of peanuts.

Answer:

20

Step-by-step explanation:

good luck!!

Answer:

24 or 20

Step-by-step explanation:

SOLUTION

The length of the line segment will be calculated using the distance formula

The distance formula is given as

The line segment have the points U(3,-5) and V(-5,-9)

Therefoore the length of the line segment is:

Calculate the value:

Therefore the length of the line segment is

The equation of the line segment wil be determined using

Therefore using the given points the equation of the line is:

Therefore the equation of the line segment is: