Susan's checkbook had a balance of $422.05 on April 1. On April 5, she wrote a check for $106.30 to the auto repair shop. On April 7, she
wrote a check in the amount of $310.00 for rent. On April 9, her dad sent her $95.00 to deposit into her account. What is the balance of
Susan's account after this deposit?

Answer:

We know that the derivative of sec x is sec x tan x. Thus, the integral of sec x tan x is sec x. i.e., ∫ sec x tan x dx = sec x + C.

Step-by-step explanation:

The standard trick used to integrate secx is to multiply the integrand by 1 = sec x+tan x. sec x+tan x. and then substitute y = secx + tanx, dy = (secxtanx + sec2 x) dx. ∫ secx dx = ∫ secx sec x+tan x).

Answer:

x(2x-1)=0

3x-1x=0

2x=0

x=0/2

x=0

Step-by-step explanation:

LCM

first term =3x

=3×x

second term = 4x²y

=2×2×x×x×y

third term =x(x+1)

LCM=x

Answer:

djeuiiuhjjjcjffvgbftvkrfjjjjjrjrjrjjnnrnrf

Answer: D 10

Step-by-step explanation:

Answer:V≈3820.18m3 the best i got

Step-by-step explanation: V=πr2h=π·82·19≈3820.17667m³ i hope this helps

Answer:

1. r - 38 = 9

=> r = 9 + 38

=> r = 47

2. h + 17 = 40

=> h = 40 - 17

=> h = 23

3. n + 75 = 155

=> n = 155 - 75

=> n = 80

4. q - 17 = 18

=> q = 18 + 17

=> q = 35

Step-by-step explanation:

Hoped this helped.

Answer:

Step-by-step explanation:

Answer:

1200

Step-by-step explanation:

A difference of 2 squares factors in general as

a² - b² = (a - b)(a + b) , then

103² - 97²

= (103 - 97)(103 + 97)

= 6 × 200

= 1200

The correct answer is 1200.

Where one perfect square is subtracted from another, is called a difference of two squares. It arises when (a − b) and (a + b) are multiplied together. This is one example of what is called a special product.

A difference of 2 squares factors in general is written as

a² - b² = (a - b)(a + b) , then

103² - 97²

= (103 - 97)(103 + 97)

= 6 × 200

= 1200

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#SPJ2

Answer:

  w = 1/7t

Step-by-step explanation:

Assuming the rate is constant, the function will be ...

  w = kt

We can find k using the given values:

  11 = k·77

  k = 11/77 = 1/7

The linear function rule is w = 1/7·t.

Answer:

$374.55 - $94.95 = $279.60 = N

$34.95 x 8 = $279.60

N=8

Step-by-step explanation:

Answer:

Below in bold.

Step-by-step explanation:

Using the quadratic formula :

roots =  [-16 +/-√(16^2 - 4*16*5)] / (2*16)

= -0.5 +/- √(-64) /32

= -0.5 +/- 8i/32

= -0.5 + 0.25i and -0.5 - 0.25i

[tex]\sf\longmapsto 16x^2+16x+5=0[/tex]

[tex]\sf\longmapsto x=\dfrac{-b\pm\sqrt{b^2-4ac}}{2a}[/tex]

[tex]\sf\longmapsto x=\dfrac{-16\pm\sqrt{16^2-4(16)(5)}}{2(16)}[/tex]

[tex]\sf\longmapsto x=\dfrac{-16\pm√256-320}{32}[/tex]

[tex]\sf\longmapsto x=\dfrac{-16\pm√-64}{32}[/tex]

[tex]\sf\longmapsto x=\dfrac{-16\pm8i}{32}[/tex]

[tex]\sf\longmapsto x=\dfrac{-2\pm i}{4}[/tex]

[tex]\sf\longmapsto x=\dfrac{-1}{2}\pm\dfrac{1}{4}i [/tex]

Answer:

d = 64 feet

Step-by-step explanation:

Given that d is directly proportional to t² then the equation relating them is

d = kt² ← k is the constant of proportion

To find k use the condition t = 8 , d = 1024 , then

1024 = k × 8² = 64k ( divide both sides by 64 )

16 = k

d = 16t² ← equation of proportion

When t = 2 , then

d = 16 × 2² = 16 × 4 = 64 feet

Answer:

6400

Step-by-step explanation:

Substitute the given value into the expression

p²q²

= 10² × 8²

= 100 × 64

= 6400

Step-by-step explanation:

given that p=10

you would times 10 by itself so:

10x10=100

now the same for the q=8

8x8=64

now i think you would have to times 100 with 64 if not than there's your answer

which equals to 6400 (if you times it)

hope that helps

Answer:

C. y= 3(x + 2)^2 + 2

Step-by-step explanation:

A. Rewrite in vertex form and use this form to find the vertex  

( h , k ) . ( 2 , − 2 )

B. Rewrite in vertex form and use this form to find the vertex  

( h , k ) . ( − 2 , 2 )

C. Rewrite in vertex form and use this form to find the vertex  

( h , k ) . ( − 2 , 2 )

D. Rewrite in vertex form and use this form to find the vertex  

( h , k ) . ( 2 , 2 )

Answer:

(–4)(9)

(6)(–6)

(6)(6)(–2)

Step-by-step explanation:

(–4)(–9)(2)

=36(2)

=72, No

(–4)(9)

=-36, Yes

(6)(6)(–2)

=36(-2)

=-72, Yes

(–6)(–6)

=36, No

(6)(–6)

=-36, Yes

Given :-

To Find :-

Solution :-

As we can see that the given figure is made up of a parallelogram and a ∆ . As we know that the opposite sides of a parallelogram are equal . So that the base of the ∆ would be 9cm . Now ,

[tex]\longrightarrow[/tex] Area = ar(||gm ) + ar(∆)

[tex]\longrightarrow[/tex] Area = (9*5 + 1/2*8*9)cm²

[tex]\longrightarrow[/tex] Area =( 45 + 45 ) cm²

[tex]\longrightarrow[/tex] Area = 90cm²

Hence the area of the given figure is 90cm² .

Answer: x = 0

Step-by-step explanation: so x = 0 is the equation of the vertical asymptote, and 0 must be left out of the domain: (−∞,0)U(0,∞) in interval notation.

Answer:

2

Step-by-step explanation:

Answer:

(24 × 3 × 5) / (25 × 33) =

((24 × 3 × 5) ÷ (24 × 3)) / ((25 × 33) ÷ (24 × 3)) =

(24 ÷ 24 × 3 ÷ 3 × 5)/(25 ÷ 24 × 33 ÷ 3) =

(2(4 - 4) × 1 × 5)/(2(5 - 4) × 3(3 - 1)) =

(20 × 1 × 5)/(2 × 32) =

(1 × 1 × 5)/(2 × 32) =

5/(2 × 32) =

5/(2 × 9) =

5/18

Answer:

34.482 is the answer to your question

Answer:

A

Step-by-step explanation:

Answer:

c

Step-by-step explanation:

[tex]\\ \sf\longmapsto 5sin^2x=sinx[/tex]

[tex]\\ \sf\longmapsto \dfrac{5sin^2x}{sinx}=\dfrac{sinx}{sinx}[/tex]

[tex]\\ \sf\longmapsto 5sinx=1[/tex]

[tex]\\ \sf\longmapsto sinx=\dfrac{1}{5}[/tex]

[tex]\\ \sf\longmapsto sinx=0.2[/tex]

[tex]\\ \sf\longmapsto x=sin^{-1}(0.2)[/tex]

[tex]\\ \sf\longmapsto x=11.53[/tex]

Answer:

It's B.

Step-by-step explanation:

Answer:

Step-by-step explanation:

Use ratios and solve:

Answer:

6 students

Step-by-step explanation:

Let the number of notebooks be $x$ and the number of students be $y.$

If there are 5 notebooks per student, we have:

$x-5y=7$

Simliairly, we have 7 notebooks per person, which is:

$x-7y=-5$

Then, using system of equations, we can add multiply the first equation by $-1$ and then add.

We would have:

$-1(x-7y=-5)=-x+7y=5$

Then, adding gives us:

$2y=12$

$y=6$

There are 6 students in the class.

Let x represent the number of students that are there in the class.

The teacher her gives his students 5 notebooks each, and still has 7 notebooks left.

The number of note books = 5x + 7    (1)

The teacher her gives his students 7 notebooks each, and was 5 notebooks short.

The number of note books = 7x - 5   (2)

Therefore equating equations 1 and 2:

5x + 7 = 7x - 5

7x - 5x = 7 + 5

2x = 12

x = 6

There are 6 students in the class.

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The angle between sides GM and MT is ∠M.

The 2 sides that include ∠T are MT and GT.

The angle between sides GT and MG is ∠G.

There's not much to say about this, but I can answer questions if you have any.

Answer: shoulb be to the thirs 4/8

Step-by-step explanation:

Answer:

well like this 3/8

Step-by-step explanation:

3/8 and rest is 5/8 in fraction form

Answer:

a=3√2, c= [tex]\frac{3\sqrt{2}}{2}[/tex]

Step-by-step explanation:

First Triangle, this is a 45-45-90 triangle

so the side are 1-1-√2

so if one of the side is 3, you multiply the above by 3

1*3-1*3-√2*3

therefore, a=3√2

Second triangle

this is a 30-60-90 Triangle

so the sides are x-x√2-2x

for this triangle

x√2=6

x=6/√2 --> multiply by √2/√2 --> this gets ride of the √2 in the denominator

x=6√2/4 --> simplify

x=[tex]\frac{3\sqrt{2}}{2}[/tex]

therefore, c=[tex]\frac{3\sqrt{2}}{2}[/tex]