f (10) = 10/2 = 5 . how to solve this problem​

Answers

Answer 1

Answer:

f(10) means to input x = 10 into the function.

From inspection of the given function:

[tex]\sf f(10)=\dfrac{10}{2}=5[/tex]

the "10" is the numerator of the fraction.

Therefore, swap the "10" for "x" to give the function in terms of x:

[tex]\sf f(x)=\dfrac{x}{2}[/tex]

Answer 2

For a function

f(x)=y

x is the input or domain

y is the output or range

Here

f(10)=10/2

So

x=10

y=10/2

Hence the function is

f(x)=x/2

Related Questions

What is the volume of the figure?
A. 188.5 units cubed
B. 196.9 units cubed
C. 205.3 units cubed
D. 213.6 units cubed

Answers

I got B. 196.9 units cubed.

which method is best for solving the system of equations,

3x+2y=4

-3x+y=2

Answers

The method which is best for solving the system of equations when you remove one variable by adding them is B Elimination

To answer the question, we need to know what system of equations are

What are system of equations?

System of equations are pairs of equations that contain two unknowns

Ways of solving system of equations

We have different ways of solving systems of equations which include

Guess and CheckEliminationGraphing and Substitution

Since we have the system of equations

3x + 2y = 4

-3x + y = 2

The method which we can use to remove one variable by adding them is the elimination method.

Adding them, we have

3x + 2y = 4

+

-3x + y = 2

3y = 6

y = 6/3

y = 2

So, the method which we can use to remove one variable by adding them is B Elimination

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Please help me with this!

Answers

Answer:

sin(4)

Step-by-step explanation:

sin(-184) is the equivalent to sin(4) (degree), positive and acute angle.

Translate the shape A four squares right and two squares up.
What are the coordinates of the vertices of the image?

Answers

If the shape A is translated four squares right and two squares up, the resulting coordinate point will be at (-3, 6), (-3, 3) and (-1, 3)

Translation of coordinates

Translation is a way of changing the position of an object on the xy plane

Given the coordinates of the vertices (1, 4), (1, 1), (3,1)

If the shape A is translated four squares right and two squares up, the resulting coordinate point will be at (-3, 6), (-3, 3) and (-1, 3)

Note that 4 was subtracted from the x-axis and 2 added to the y-coordinates.

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A side of the triangle below has been extended to form an exterior angle of 131°. Find the value of x. 131⁰ to 112º​

Answers

Answer:

[tex]x = 49degrees[/tex]

Step-by-step explanation:

[tex]131 + x = 180( \: < \: on \: str \: line = 180) \\ x = 180 - 131 \\ x = 49[/tex]

The required value of x for the given figure is 49°.

What is a straight line?

A straight line can be defined as a locus of points satisfying the equation ax + by + c = 0 for two coordinates x and y.

The sum of the angles on a straight line is always 180°.

In the given figure the angles 131° and x° are on the same straight line.

Since, the sum of the angles on a straight line is 180°.

The following equation can be written for the given figure,

x + 131 = 180

=> x = 180 - 131

       = 49

Hence, the value of x for the given figure is 49°.

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Find the area of the shade regions. Give your answer as a completely simplify exact value in terms of pie(no approximation). a=

Answers

Answer:

41.87 cm²

Step-by-step explanation:

Area of shaded region :

Area (sector of radius 7 cm) - Area (sector of 3 cm)π × θ/360° (r₁² - r₂²)3.14 x 120/360 (49 - 9)3.14 x 1/3 x 40125.6/341.87 cm²

Find the perimeter.
Perimeter = [?]
Simplify your answer completely.

Answers

The answer would be 119 and 4/7

Answer:

119 4/7

Step-by-step explanation:

Perimeter is all of the lengths of the sides added together. I started by adding all of the whole numbers:

35+10+12+15+24+12+10=118

Then I added the fractions (after making the denominators equal by multiplying the 3/7, 1/7, 2/7 all by 2)

6/14+2/14+4/14+3/14+1/14+4/14+2/14= 22/14

Then I subtracted 14 from 22 to take out our whole number (which would be 14/14 or 1), and see that we are left with 8.

This means that our answer is 119 8/14 or 119 4/7

(10/2)x7+5-4 whats the answer

Answers

Answer:

36

Step-by-step explanation:

Question:

[tex] \bigg(\cfrac{10}{2} \bigg)\times 7 + 5 - 4[/tex]

Solution:

Here, we need to use PEMDAS rule, where:

P = parenthesise = exponentsm = multiplicationD = divisiona = additions = subtraction

There's a rule as well, the sum given is need to solved from the left, whichever sign is there.

Solved:

[tex]\bigg(\cfrac{10}{2} \bigg)\times 7 + 5 - 4[/tex]

Solve for parentheses first:

[tex] = 5 \times 7 + 5 - 4[/tex]

Then multiplication of course:

[tex] = 35 + 5 - 4[/tex]

Then addition:

[tex] = 4 0 - 4[/tex]

[tex] =36[/tex]

Hence, the answer is 36.


Type the correct answer in each box. Round the vector's magnitude to the nearest tenth.
Vector u has its initial point at (14,-6) and its terminal point at (-4, 7). Write the component form of u and find its magnitude.

Answers

Component form of u is (-18,13) and The magnitude of u is 22.2

What is a vector?

A vector is a two-dimensional entity with both magnitude and direction. A vector can be visualized geometrically as a directed line segment.

The component form of a vector is an ordered pair that describes the change in x and y values

This is mathematically expressed as (Δx, Δy) where Δx=x₂-x₁ and Δy=y₂-y₁

Given ;

Initial points of the vector as (14,-6)

The terminal point of the vector is (-4,7)

Here x₁=14,x₂=-4, y₁=-6,y₂=7

The component form of the vector u is (-4-14,7--6) =(-18,13)

Finding the Magnitude of the vector

u=√(x₂-x₁)²+(y₂-y₁)²

u=√-18²+13²

u=√324+169

u=√493

u=22.2

Therefore the Component form of u is (-18,13) and The magnitude of u is 22.2

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On a coordinate plane, triangle B C D is rotated 180 degrees clockwise to form triangle B prime C prime D prime. Identify the angle of rotation that maps triangle BCD to triangle B’C’D’. What is the angle of rotation? 90° 180° 270° 360°

Answers

180 degrees would map the triangle onto B prime C prime and D prime

Answer:

180

Step-by-step explanation:

Julia buys a spool with 12 yards of wire. The students in
her jewelry-making class use 4 yards 2 feet of the wire
for one project and 7 feet of the wire for another
project. How many feet of wire does Julia have left?

Answers

1 yrd = 3 ft
12 yrd x 3 ft = 36 ft

one jewelry project uses 4 yrd + 2 ft OR 14 ft

the second project uses 7 ft
14 ft + 7 ft = 21 ft
36 ft - 21 ft = 15 ft of wire left over

8. Which of these is the primary reason for the extinction of a species?

loss of habitat

overhunting

O pollution

Osudden environmental changes

Answers

Answer:

my bet would be d)

Step-by-step explanation:

ur asking math students btw

Which equation shows an example of the associative property of addition?

Answers

Answer:

(2+3)+4 = 2+(3+4) this is an example of associative property

Simplify.
√50
OA. 10√5
OB. 2√5
OC. 5√2
OD. 25√2

Answers

Decomposition in factors of 50: 2 · 5².

[tex]\mathrm{Apply\:the\:laws\:of\:exponents}:\quad \sqrt{ab}=\sqrt{a}\sqrt{b},\:\quad \:a\ge 0 ,\:b\ge 0[/tex]

[tex]\sqrt{2\cdot \:5^2}=\sqrt{2}\sqrt{5^2}[/tex]

[tex]\mathrm{Apply\:the\:laws\:of\:exponents}:\quad \sqrt{a^2}=a,\:\quad \:a\ge 0[/tex]

[tex]\sqrt{5^2}=5[/tex]

[tex]=\sqrt{2}\cdot \:5[/tex]

[tex]\bf{=5\sqrt{2} \ === > \ Answer }[/tex]

Option C

[tex]\boxed{\boxed{\large\displaystyle\text{$\begin{gathered}\sf \bf{MyHeritage} \end{gathered}$}}}[/tex]

please help the subject is exterior angles(triangles)​

Answers

Remember that a straight line is 180°, Take the exterior angle and subtract 180 and you’ll get; X = 22

Find the height in feet of the missile after 5 seconds in the air

Answers

The height in feet of the missile after 5 seconds in the air is; 875 ft

How to find the height of a Projectile?

We are given the  quadratic function of the height in terms of time, x, in seconds as; h(x) = - 17x² + 260x

where;

h(x) is height after x seconds

x seconds is time of missile in air when thrown.

Thus, after five seconds, we have;

h(5) = - 17(5)² + 260(5)

h(5) = -425 + 1300

h(5) = 875 feet

Complete question is;

A missile is launched from the ground. Its height, h(x), can be represented by a quadratic function in terms of time, x, in seconds.

After 1 second, the missile is 243 feet in the air; after 2 seconds, it is 452 feet in the air.

The height of the can be represented by this function:

h(x) = - 17x² + 260x

Find the height, in feet, of the missile after 5 seconds in the air.

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What is the outlier of 35, 39, 35, 34, 38, 39, 38, 33, 88, 33, 35, 38

Answers

Answer:

88

Step-by-step explanation:

All of the numbers are in the thirties (30's) except for 88, so that is the outlier

What is the range of the function graphed below?

On a coordinate plane, a graph shows a curve with two points. A solid point is at (1, 3) and an open point is at (4, negative 3).

1 less-than-or-equal-to y less-than 4
Negative 3 less-than y less-than-or-equal-to 3
Negative 2 less-than-or-equal-to y less-than-or-equal-to 3
Negative 3 less-than-or-equal-to y less-than 4

Answers

Answer:

Negative 3 less-than y less-than-or-equal-to 3

Step-by-step explanation:

By looking at a coordinate plane, we can easily see the range

remember, a closed dot means includes , and an open dot means does not include

[closed dot]

(open dot)

the range is all possible y-values. so, all y values shown are

3               which it includes

to -3            which it excludes  / does not include

so, all y values are greater than -3 and less than or equal to 3

what is the value of 50 US dollar in philippine money?

Answers

Answer:

Answer is $2,637.38

Step-by-step explanation:

show your working please.​

Answers

Offer B is the best value for money because each kg cost is £0.61 and in offer 'A' each kg cost is £0.7.

What is a fraction?

Fraction number consists of two parts, one is the top of the fraction number which is called the numerator and the second is the bottom of the fraction number which is called the denominator.

We have:
2 bags for £35

2 bags means 50 kg (2×25)

Each kg cost = 35/50 = £0.7 per kg

3 bags for £92.50

3 bags means 150 kg

Each kg cost = 92.50/150 = £0.61 per kg

As we can see, offer B has a low cost per kg

Thus, offer B is the best value for money because each kg cost is £0.61 and in offer 'A' each kg cost is £0.7.

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The base of a hexagonal prism has an area of 54 square feet. the height of the prism is 4 feet. find the volume of the prism.
v =ft

Answers

Step-by-step explanation:

v=fgtd (9809)=09843 ans that give 100

Find the quadratic equation with integral coefficients having roots 6 and 2.

Answers

The quadratic equation that has a root of 6 and 2 is x^2 - 8x + 12 = 0

How to determine the quadratic equation?

The roots are given as:

x = 6 and x = 2

Rewrite as:

x - 6 = 0 and x - 2 = 0

Multiply both equations

(x - 6)(x - 2) = 0 * 0

Evaluate the product

x^2 - 6x - 2x + 12 = 0

Evaluate the difference

x^2 - 8x + 12 = 0

Hence, the equation that has a root of 6 and 2 is x^2 - 8x + 12 = 0

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Which equations and/or functions represent the graphed line? Select three options.

A coordinate plane with a line passing through the points, (negative 4, 0), (negative 2, 1), (0, 2), and (2, 3).

Answers

The equations of the graphed line and function can be written as:

f(x) = 1/2x + 2

y - 3 = 1/2(x - 2)

y - 1 = 0.5(x + 2)

What is the Equation of a Graphed Line?

Equation of a graphed line can be expressed in:

Slope-intercept form as y = mx + b, where m = slope, b = y-intercept; or

Point-slope form as y - b = m(x - a), where (a, b) is a point and m = slope.

Find the slope (m) of the line:

Slope (m) = change in y / change in x = 1/2 = 0.5

y-intercept (b) = 2

To express the graphed line in slope-intercept form, substitute m = 1/2 and b = 2 into f(x) = mx + b:

f(x) = 1/2x + 2.

Using the point-slope form, write the equation by substituting m = 1/2 and (a, b) = (2, 3) into y - b = m(x - a):

y - 3 = 1/2(x - 2)

Or substitute m = 0.5 and (a, b) = (-2, 1) into y - b = m(x - a):

y - 1 = 0.5(x - (-2))

y - 1 = 0.5(x + 2)

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Q5. An earthquake causes a sea wave. This sea wave travels 26 400 m in two minutes. Calculate the speed of the wave. Use the equation Q6. wave speed distance time speed =​

Answers

Answer:

13.2 Kilometers an Minute, or 220 Kilometers an Hour

Step-by-step explanation:

26,400 divided by 2 = 13.2 (Minutes) Divided by 60 = 220 (Hours).

Hi please answer fast worth 98 points

Answers

Answer:

congruent.

Step-by-step explanation:

each side and each angle in one polygon is paired with a side or angle in the second polygon .

hope this helps

2. Verify that cos(360° -0)=cos is an identity.​

Answers

Answer:

it is an identity that was solved

Step-by-step explanation:

cosin - the a

If 2^2^x = 2^3 what is the value of x

Answers

Answer:

[tex]\dfrac 32[/tex]

Step-by-step explanation:

[tex]~~~~~~~2^{2x} = 2^3\\\\\implies \ln\left(2^{2x} \right) = \ln (2^3)\\\\\implies 2x \ln(2) = 3 \ln(2) \\\\\implies 2x = 3\\\\\implies x = \dfrac 32[/tex]

Answer:

B

Step-by-step explanation:

(x + 3) (x + 5) (x + 7) (x + 9) + 16​

Answers

Hope this helps! Let me know if you need anything.

Factor out 1/6 out of 1/6x -7/6

Answers

Answer:

(x-7)

Step-by-step explanation:

(1/6)*(x-7)= (1/6)x-(7/6)

Pettit printing company has a total market value of $100 million, consisting of 1 million shares selling for $50 per share and $50 million of 10 percent perpetual bonds now selling at par. the company's ebit is $13.24 million, and its tax rate is 15 percent. pettit can change its capital structure by either increasing its debt to 70 percent (base on market value) or decrease it to 30 percent. if its decides to increase its use of leverage, it must call its old bonds and issue new ones with a 12 percent coupon. if it decides to decrease its leverage, it will call in its old bonds and replace them with new 8 percent coupon bonds. the company wills ell or repurchase stock at the new equilibrium price to complete the capital structure change. the firm pays out all earnings as dividends; hence; its stock is a zero growth stock. its current cost of equity, rs; is 14 percent. if it increases leverage rs will be 16 percent. if it decreases leverage, rs will be 13 percent. what is the firm's wacc and total corporate value under each capital structure?

Answers

The weighted average cost of capital for the firm will be 11.25%.

How to calculate the WACC?

The weighted average cost of capital is the calculation of the cost of capital for a firm where each category of capital is weighted.

Here, the weighted average cost of capital will be:

= 0.5(10%)(1 - 15%) + 0.5(14%)

= 0.5(0.1)(0.85) + 0.5(0.14)

= 11.25%

The corporate value at 70% debt when WACC is 11.94% will be:

= (EBIT)(1 - T)/WACC

= (13.24)(1 - 0.15)/0.1194

= $94.26 million

The corporate value at 30% debt when WACC is 11.14% will be:

= (EBIT)(1 - T)/WACC

= (13.24)(1 - 0.15)/0.1114

= $101.02 million

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