In the expression (x2 + 3), the base is _____.

[tex]\\ \tt\longmapsto \dfrac{d}{dx}\sqrt{x}+\dfrac{1}{5x}-3[/tex]

[tex]\\ \tt\longmapsto \dfrac{d}{dx}x^{\frac{1}{2}}+5x^{-1}-3[/tex]

[tex]\\ \tt\longmapsto \dfrac{d}{dx}x^{\frac{1}{2}}+5x^{-1}[/tex]

[tex]\boxed{\sf \dfrac{d(x^n)}{dx}=nx^{n-1}}[/tex]

[tex]\\ \tt\longmapsto \dfrac{1}{2}x^{\frac{-1}{2}}-5x^{-2}[/tex]

[tex]\\ \tt\longmapsto \dfrac{x}{2}^{\frac{-1}{2}}-\dfrac{1}{5x^2}[/tex]

[tex]\\ \tt\longmapsto -\sqrt{\dfrac{x}{2}}-\dfrac{1}{5x^2}[/tex]

Answer:

Jake's answer is true; the change in temperature is -7.9° F.

Step-by-step explanation:

The change in temperature is the final value minus the initial value. Evening minus the morning.

The final value is 15.6° F, the initial value is 23.5° F.

So 15.6 - 23.5 = -7.9

Jake's answer is true.

Answer:

-i

Step-by-step explanation:

'i' is the square root of -1, so i^2 would be -1. so now:

[tex]i^3 = (i^2)i = (-1)i = -i[/tex]

SIZE

400

UNIT OF MEASURE

meters

BASED ON LANE

1

To begin, you must do Steps 1-3 to enter (or verify) the correct information for the track being used. Frequently-used values have been pre-entered in all three steps. Change them only if required.

Step 1. ENTER THE TRACK SIZE (i.e., the distance covered when completing one lap - normally in Lane 1) and select the unit of measure.

 most outdoor tracks are either 400 meters or 440 yards (4 laps to a mile)

 most indoor tracks are either 200 meters or 220 yards (8 laps to a mile)

See NOTE 3 for determining track size. Also note that a very small number of tracks use a lane other than Lane 1 to define the track size (see NOTE 4). If the size you entered is not based on Lane 1, select the lane number upon which the size is based.

Step 2. ENTER THE LANE WIDTH of lanes on the track (they should all be the same width). While the best tracks (IAAF, Olympic, etc.) have lanes that are 1.22m to 1.25m wide, most high school and college tracks have lane widths measured in inches (e.g., 42"). See NOTE 5 for information on how to measure lane width. LANE WIDTH

42

Step 3. IS THERE A RAISED CURB on the inside of Lane 1 (normally 2" - 2.5" high)? If there is, select "yes." If the inside edge of Lane 1 is defined only by a painted line, select "no." See NOTE 6 for further information about curbs.

no

Now that you have completed Steps 1 - 3, select a calculation section below, enter the requested parameter(s), and click on the "click here" calculation button for that section. After noting (or printing) the results, enter different parameters for the same calculation or proceed to another calculation section.

ANWERS: 42  

Answer:

Six times.

Step-by-step explanation:

Find the perimeter: 100+100+150+150= 500 m all the way around

3 km = 3000 m

3000 divided by 500 is 6 times.

Answer:

170.25

Step-by-step explanation:

I made 15% into a decimal. The decimal, being 0.15, was multiplied to 1135 to get the answer 170.25

1135 x 0.15 = 170.25

The value of the percentage is,

→ 15 ÷ 100

→ 0.15

We have to find,

→ 15% of 1135

Let's find the solution,

→ 1135 × 0.15

→ 170.25

Hence, the answer is 170.25.

Answer:

none of these

Step-by-step explanation:

5.04*100=524.16

Answer:

none of these

Step-by-step explanation:

5.04 x 104 = 524.16

there is no option with 524.16

so none of these

Answer:

Cheetah

Step-by-step explanation:

American Antelope's speed = 94980 meters per hour

                                           = 59 miles per hour

The Cheetah is faster than the American Antelope

Answer:

Step-by-step explanation:

The American Antelope is going at a rate of 1583 meters / minute

1583 m [ 1 km / 1000 m ] = 1.583 km / minutes

In an hour, the Antelope will go 1.583 km / minute * 60 min / hour

1.583 * 60 = 94.98 km / hour

The cheetah is going 61 miles / hour * 1.6 km / mile  = 97.6 km/hour

The Cheetah is  not going to go hungry tonight.

[tex] \frac{p^{4} }{ {q}^{4} } + \frac{ {p}^{2} }{ {q}^{2} } + 1 \\ \frac{ {p}^{4} + {p}^{2} {q}^{2} + {q}^{4} }{ {q}^{4} } \\ \\ \frac{( {p}^{2} + {q}^{2} +pq)( {p}^{2} + {q}^{2} - pq) }{ {q}^{4} } [/tex]

I hope I helped you^_^

Step-by-step explanation:

f(0)=-2(0)-9=0-9=-9

f(1/2)=-(1/2)-9=-1/2 -9=-19/2

f(-2)=-2(-2)-9=4-9=-5

Answer:

Concept:

Here, we need to understand the idea of evaluation.  

When encountering questions that gave you an expression with variables, then stated: "If x = a, y = b, z = c" (a, b, c are all constants), this means you should substitute the value given for each variable back to the expression.

Solve:

Question One. Identify the value of f(0)

f(x) = -2x - 9

f(0) = -2(0) - 9

f(0) = 0 - 9

f(0) = -9

Question Two. Identify the value of f(1/2)

f(x) = -2x - 9

f(1/2) = -2(1/2) - 9

f(1/2) = -1 - 9

f(1/2) = -10

Question Three. Identify the value of f(-2)

f(x) = -2x - 9

f(-2) = -2(-2) - 9

f(-2) = 4 - 9

f(-2) = -5

Hope this helps!! :)

Please let me know if you have any questions

Answer:

n(U) = n(AUB) + n(AUB)'

Step-by-step explanation:

The cardinality of the universal set will be to add the cardinalities of both the union of A and B i.e (A U B) and and the compliments of A and B i.e n(AUB)'

Answer: JK = 234

Concept:

Here, we need to know the idea of the segment addition postulate.

The Segment Addition Postulate states that given 2 points A and C, a third point B lies on the line segment AC if and only if the distances between the points satisfy the equation AB + BC = AC.

Solve:

Given information

JL = 8x - 3

LK = 4x + 57

Given expression deducted from the given figure

JL = LK

Substitute values into the expression

8x - 3 = 4x + 57

Add 3 on both sides

8x - 3 + 3 = 4x + 57 + 3

8x = 4x + 60

Subtract 4x on both sides

8x - 4x = 4x + 60 - 4x

4x = 60

Divide 4 on both sides

4x / 4 = 60 / 4

x = 15

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

Given information

JL = 8x - 3

LK = 4x + 57

x = 15

Given expression deducted from the segment addition postulate

JK = JL + LK

Substitute values into the expression

JK = 8x - 3 + 4x + 57

JK = 8(15) - 3 + 4(15) + 57

Simplify by multiplication

JK = 120 - 3 + 60 + 57

Simplify by simple operation (addition/subtraction)

JK = 117 + 60 + 57

JK = 177 + 57

[tex]\boxed{JK=234}[/tex]

Hope this helps!! :)

Please let me know if you have any questions

Answer:

√40 = √ ( 2× 2 ×2 ×5) = 2√10

.........

Explanation:

Let's say that the first 26 people will occupy each of the 26 rooms. This means that, so far, there's one person per room.

There are 40-26 = 14 people left. Let's say those 14 people occupy the first 14 rooms. This means that the first 14 rooms now have 2 people in them per room. The remaining 26-14 = 12 rooms still have one person per room.

Step-by-step explanation:

At Bob's binders, the unit price = $4.20 ÷ 3

= $1.40

At Pam's Paper Place the unit price = $5.20 ÷ 4 = $1.30

the better buy is at Pam's Paper place

Answer:

∠ ABC = 48°

Step-by-step explanation:

∠ ABC + ∠ DBC = ∠ ABD , that is

6x - 6 + 3x + 8 =  83

9x + 2 = 83 ( subtract 2 from both sides )

9x = 81 ( divide both sides by 9 )

x = 9

Then

∠ ABC = 6x - 6 = 6(9) - 6 = 54 - 6 = 48°

Answer:

23,24,25.

Step-by-step explanation:

Consecutive numbers are numbers following in order. I found them unconventionally by first dividing 72 by 3, which is 24. So if there were 3 24s it would make 72. 23+25 is the same sum as 24+24. Then you add in the middle number, 24 and get 72.

Answer:

The answers are 23, 24, and 25

Step-by-step explanation:

Three consecutive numbers means 3 numbers in a row. So just find three numbers that all add up to 72.

23+24+25=72

Answer:

17

Step-by-step explanation:

17 is the only prime number present.

Answer:

17 does not belong

Step-by-step explanation:

In this image (and problem), 17 is the only prime number there.

Hopefully this helped you out!

Answer:

1538.6cm^3

Step-by-step explanation:

See the image for solution

Hope it helps

Have a great day

Hi! I'm happy to help!

To  solve this, we first need to find our what could give us 1/3. WE realize that the sequence is descending, so we must be dividing. We can then, from here, multiply our top number by 1/3, because that is our end number, and could possibly work for our common ratio. From this, we can check if this fits in our equation. (dividing by 3)

243×1/3=81

81×1/3=27

27×1/3=9

9×1/3=3

3×1/3=1

1×1/3=1/3

We can check if this is the correct amount of numbers that would fit into the geometric sequence. Let's see if this fits in:

243, 81, 27, 9, 3, 1, 1/3

This does fit into our geometric sequence. Our middle terms are underlined. (missing numbers)

Our common ratio is the number we multiply the previous number by to get our next, so our common ratio is 1/3.

So, our geometric sequence is 243, 81, 27, 9, 3, 1, 1/3, our middle terms are 81, 27, 9, 3, and 1. Our common ratio is 1/3.

I hope this was helpful, keep learning!

Answer:

Step-by-step explanation:

Given:

To find the terms in between.

Find the common ratio first:

The terms in between are:

Answer:

10 is whole number .......

yes ten is natural,whole, integers,rational

Step-by-step explanation:

because natural contains all numbers wiThout 0 and whole contains all numbers with 0 so 10 is both of them.Integers are the number which is not a fraction,it is a whole number.And 10 is a rational number because all integers are rational.But it is not irrational.

Answer:

2 1/8 as a decimal is 2.125

Step-by-step explanation:

Answer:

2.125

Step-by-step explanation:

To find the decimal version of the fraction number, you need to divide 1/8, which is .125; combining that with the original whole number, you get 2.125.

Answer:

|x| + 1

Adding/subtracting on the outside moves it up/down.

Adding/subtracting on the inside (such as (x - 2) moves it right 2) moves it left/right.

Answer:

3.49410504

It is the answer hope it helps.

Mark me as Brainliest plz

Answer:

3.49410503751

Step-by-step explanation:

But as a smaller version it is

3.494

Answer:

1) (7 X 6) = 2 [{45 - 3(7 X 2 - 15 + 6)} + 4]

or,42=2[{45-3(14-15+6)}+4]

or,42=2[{45-3(14-21)}+4]

or,42=2[{45-3X(-7)}+4]

or,42=2[45+21}+4]

or,42=2X70

:42=140

The equation after simplification is [tex]7x^{6}+42x^{2} -152=0[/tex].

Simplification of an equation is the process of writing an equation in the most efficient and compact form without affecting the value of the original equation. It involves, multiply out the brackets and then simplify the resulting equation by collecting the like terms.

For the given situation,

The equation is

[tex]7x^{6}=2[{45-3(7x^{2} -15+6)}+4][/tex]

⇒ [tex]7x^{6}=2[{45-3(7x^{2} -9)}+4][/tex]

⇒ [tex]7x^{6}=2[{45-21x^{2} +27}+4][/tex]

⇒ [tex]7x^{6}=2[-21x^{2} +76][/tex]

⇒ [tex]7x^{6}=-42x^{2} +152[/tex]

⇒ [tex]7x^{6}+42x^{2} -152=0[/tex]

Hence we can conclude that the simplified equation is [tex]7x^{6}+42x^{2} -152=0[/tex].

Learn more about simplification of an expression here

https://brainly.com/question/13730519

#SPJ2

Answer:

183 divided by 3 = miles per hour

183 / 3 = 61

61 mph

Answer:

61

Step-by-step explanation:

To find unit rate, divide the amount of length to the time. In this instance, 183 miles is the length and 3 hours is the time.

Divide:

183/3 = 61

So, there are 61 miles in 1 hour.

Hope this helped.

Answer:

Step-by-step explanation:

Answer:

PQ=12

QR= 8

Hope it helps.

Answer: PQ = 12

QR = 8

Step-by-step explanation:

3x + 6 + 2x+4 = 20

5x = 20- 10

so, x = 2

so

PQ = 3x + 6 = 3*2+6 = 6+6 = 12

QR = 2x+4 = 2*2+4 = 4+4 = 8

An income is taxable is such income falls into a category where a proportion of the income is removed, as tax. To have an extra $5000 after tax, Tara must save $6173.

Given that:

[tex]Earnings = \$20000[/tex] --- normal earnings

[tex]Amount = \$5000[/tex] ---- the amount needed

From the complete question, the tax rate for earnings between $18201 and $37000 is 19%.

Let the additional amount be x.

So, the equation that calculates the amount needed (after tax) is:

[tex]x(1 - 19\%) = 5000[/tex]

Express as decimal

[tex]x(1 - 0.19) = 5000[/tex]

[tex]x(0.81) = 5000[/tex]

Make x the subject

[tex]x = \frac{5000}{0.81}[/tex]

[tex]x = \$6173[/tex]

Hence, she needs to make an extra of $6173 to save $5000

Read more about taxable income at:

https://brainly.com/question/17347618