The sum of two consecutive odd numbers is 72. Find the numbers

Answer:

4567

Step-by-step explanation:

add 2

add 88

sub 99

Answer:

-16

Step-by-step explanation:

did the math

Answer:

63

Step-by-step explanation:

∫₂⁴ f(x) g"(x) dx

Integrate by parts.

If u = f(x), then du = f'(x) dx.

If dv = g"(x) dx, then v = g'(x).

∫ u dv = uv − ∫ v du

= f(x) g'(x) − ∫ g'(x) f'(x) dx

f'(x) is constant at 3, so:

= f(x) g'(x) − ∫ 3 g'(x) dx

= f(x) g'(x) − 3 g(x)

Evaluate from x=2 to x=4.

[f(4) g'(4) − 3 g(4)] − [f(2) g'(2) − 3 g(2)]

[(13) (7) − 3 (9)] − [(7) (1) − 3 (2)]

64 − 1

63

The required value of [tex]\int\limits^4_2 {f(x)g"(x)} \, dx (1)[/tex] is 63.

Given that,

The table above gives selected values of twice-differentiable functions f and g,

The first two derivatives of g. If f′ (x) = 3 for all values of x.

We have to determine,

What is the value of [tex]\int\limits^4_2 {f(x)g"(x)} \, dx (1)[/tex].

According to the question,

To obtain the value of given function, integrating the function,

[tex]= \int\limits^4_2 {f(x)g"(x)} \, dx (1)[/tex]

Integrating by using by-parts.

[tex]= \int\limits^4_2 {f(x)g"(x)} \, dx (1)\\\\if\ u = f(x), \ then \ du = f'(x)dx\\\\if \ dv = g"(x)dx, \ then \ v = g'(x)\\\\[/tex]

Then,

[tex]\int u\ dv = uv\ - \ \int v \ du\\\\= f(x) \ g'(x) - \int g'(x) f'(x) \ dx\\[/tex]

if f'(x) is constant at 3,

Then,

[tex]= f(x) g'(x) - \int g'(x)\dx\\\\= f(x) g'(x) -3g(x)[/tex]

Substitute from x = 2 to x = 4 then evaluate,

[tex]= [f(4)\ g'(4) - 3 \ g (4)]- [f(2)\ g'(2) - 3 \ g (2)]\\\\= [(13).(7) - 3.(9)] - [7.(1)- 3.(2)]\\\\= [91-27} - {7-6}\\\\= 64-1\\\\= 63[/tex]

Hence, The required value of [tex]\int\limits^4_2 {f(x)g"(x)} \, dx (1)[/tex] is 63.

To know more about Integration click the link given below.

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Answer:

B. all real numbers

Step-by-step explanation:

hope that helps

Answer:

B  hope this helps :)

Step-by-step explanation:

Step-by-step explanation:

By Pythagoras' Theorem, z^2 + (2.7)^2 = (4.2)^2.

This means that z^2 = (4.2)^2 - (2.7)^2 = 10.35.

So z = 3.2 (1 d.p.)

Step-by-step explanation:

x=4.2

y=2.7

z=x

(×+y=×

(4.2+2.7=×)

×=6.9

Since A is the midpoint of BC, we can assume BA and AC are equal to each other.

We also know that BC = BA + AC = 23 + 23 = 46

Answer:

(-1,5)

Step-by-step explanation:

To find this, you have to add both "x" coordinates, then divide them by two.

Same thing goes for the "y" coordinates, add them, then divide them by two.

x-coordinates --->  2+(-4)= -2

y-coordinates ---> 1+9= 10

-2÷2= -1

10÷2= 5

That gives you, (-1,5).

[tex]\text{Hi there! :]}[/tex]

[tex]\large\boxed{y = 8}[/tex]

[tex]3y + 8 = 1/2y + 28\\\\\text{Subtract 8 from both sides:}\\\\3y + 8 - 8 = 1/2y + 28 - 8\\\\3y = 1/2y + 20\\\\\text{Subtract 1/2y from both sides:}\\\\3y - 1/2y = 1/2y - 1/2y+ 20\\ \\\text{Convert 3y to 6/2y to make subtracting easier:}\\5/2y = 20\\\\\text{Divide both sides by 5/2 (Multiply by reciprocal, or 2/5):}\\\\\\5/2y * 2/5 = 20 * 2/ 5\\\\y = 8[/tex]

Answer: [tex](1,-\frac{3}{2})[/tex]

Step-by-step explanation:

To find the midpoint, you use the formula [tex]midpoint=(\frac{x_1+x_2}{2} ,\frac{y_1+y_2}{2} )[/tex].

The points are (-2,-1) and (4,-2).

[tex]midpoint=(\frac{-2+4}{2} ,\frac{-1+(-2)}{2} )[/tex]              [add]

[tex]midpoint=(\frac{2}{2} ,\frac{-3}{2} )[/tex]                            [divide]

[tex]midpoint=(1 ,\frac{-3}{2} )[/tex]

Now, we know the midpoint is [tex](1,-\frac{3}{2})[/tex].

Answer:

$13.75

Step-by-step explanation:

0 weeks = 260

4 weeks = 315

8 weeks = 370

Every 4 weeks, the rate of change is $55 as can be seen by 315 - 260 = 55 and 370 - 315 = 55.

Per week, the rate of change is $13.75 This is because $55 ÷ 4 weeks = rate of change per week

55 ÷ 4 = 13.75

Answer:

$2,500

Step-by-step explanation:

1.) 5% would be switched to decimal form which is 0.05

To do this, start with 5.

Move the the decimal point two place values to the left.

2.) Now multiply 50,000 and 0.05

3.) This equals 2,500

Answer: x = -10

Step-by-step explanation:

Answer:

the domain or set of departure of a function is the set into which all of the input of the function is constrained to fall.

Step-by-step explanation:

didn't know if you needed the definition or not :)

Answer:

its A.

Step-by-step explanation:

I just answered it :)

Answer:

She did not align the decimal points.

Step-by-step explanation:

8+3a-2a+7=0

8+a+7=0

a+15=0

a= (-15)

Hope it helped

Answer:

First one.

Step-by-step explanation:

4+(-8) -10+22 =12

24+(-12) 0+ (-12) =-24

Please brainliest! Im on my way to another rank!

The expression 24 + (-12) has a sum of 12 after applying the arithmetic operation options (b) and (c) is correct.

The study of numbers and their operations, which are relevant to all other fields of mathematics, is part of the discipline of arithmetic operations. Addition, subtraction, multiplication, and division are the basic operations that make up this system.

It is given that:

The expressions are shown in the picture.

After solving using Arithmetic operation:

Take the expression:

= 24 - 12

= 12

-10 + 22

= 12

Thus, options (b) and (c) are correct.

Learn more about the arithmetic operations here:

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#SPJ2

Answer:

(a) [tex]x \leq 2.5[/tex]

(b) [tex]x \geq 2[/tex]

Step-by-step explanation:

Solving (a):

[tex]0.4x - 1 \leq 0[/tex]

Add 1 to both sides

[tex]0.4x - 1 + 1\leq 0 + 1[/tex]

[tex]0.4x \leq 1[/tex]

Solve for x

[tex]x \leq 1/0.4[/tex]

[tex]x \leq 2.5[/tex]

Solving (b):

[tex]2.3x \geq 4.6[/tex]

Solve for x

[tex]x \geq 4.6/2.3[/tex]

[tex]x \geq 2[/tex]

Answer:

-1.5

Step-by-step explanation:

The product of slopes of two perpendicular lines = -1

If line one has a slope of 2/3;

Let line two, perpendicular to line one, has a slope of a

2/3 × a = -1

a = -1 ÷ 2/3 = -3/2 = -1.5

Answer:

31

Step-by-step explanation:

Since be is in the middle its connecting the two.

So you will add the 11 and 20 to get 31

Answer:

62 m/s = 138.7 mi/h

Step-by-step explanation:

62 m/s = 62 x (3600/1000) x (1/1.61)

= 138.7 mi/h

Best Regards!

Answer:

D=16m

Step-by-step explanation:

D=16t^2

D=16×1

D=16m

Answer:

d=hf+5

Step-by-step explanation:

Step 1: Factor out variable d.

d(f+5)=h

Step 2: Divide both sides by f+5.

d(f+5)f+5=hf+5

d=hf+5

Answer:

8/54 or 4/27

Step-by-step explanation:

(8/9)/6 =

8/9 ÷ 6 when divide turn the division sign into multiplication and flip the second fraction ( reciprocal))

8/9*1/6 = 8/54  if simplified =4/27

Answer:

4/27

Step-by-step explanation:

8/9 ÷ 6 = 4/27

Answer:

2000

Step-by-step explanation:

just muliply

Hey there!

[tex]6x+2y=12[/tex]

Let's start by adding -2y to both sides.

[tex]6x+2y+-2y=12+-2y\\\text {This equals: 6x=-2y+12}[/tex]

Our second and final step is to divide both sides by 6.

[tex]\frac{6x}{6}=\frac{-2y+12}{6} \\x=\frac{-1}{3}y+2(ANSWER)[/tex]

If you are looking to solve y, the answer is 6 - 3x.

If you are looking for x, the answer is x = 2 - y/3

Hope this helps and have a great weekend!

[tex]\text{-TestedHyperr}[/tex]

Answer:

∛8 = 2

Step-by-step explanation:

[tex]\sqrt[3]{8}[/tex]

=2

2*2*2 = 8

Answer:

you can fit 1000 hairs in 10 cm

Step-by-step explanation:

[tex]10^2= .01[/tex]

[tex].01*1000 = 10[/tex]

Answer:

c

Step-by-step explanation:  3 is not bigger than 9 so it can't bump it up so it stays like that.

Answer:

28

Step-by-step explanation:

I hope this helps!

Answer:

28!

Step-by-step explanation:

Answer:

[tex]\frac{965777}{55555}[/tex]

Step-by-step explanation:

The answer is quite simple, just divide both sides and rewrite the equation to get it. Maybe focus more on the question rather than yourself next time :)