Need help a lot stuck

Answer:

what is your question ask then I shall answer you

Substitute x = √7 sin(t) and dx = √7 cos(t) dt. Then

∫ √(7 - x²) dx = ∫ √(7 - (√7 sin(t))²) • √7 cos(t) dt

… = √7 ∫ √(7 - 7 sin²(t)) cos(t) dt

… = 7 ∫ √(1 - sin²(t)) cos(t) dt

… = 7 ∫ √(cos²(t)) cos(t) dt

We require that -π/2 ≤ t ≤ π/2 in order for the substitution we made to be reversible. Over this domain, cos(t) ≥ 0, so

√(cos²(t)) = |cos(t)| = cos(t)

and the integral reduces to

… = 7 ∫ cos²(t) dt

Recall the half-angle identity for cosine:

cos²(t) = (1 + cos(2t))/2

Then the integral is

… = 7/2 ∫ (1 + cos(2t)) dt

… = 7/2 (t + 1/2 sin(2t)) + C

… = 7t/2 + 7/4 sin(2t) + C

Get the antiderivative back in terms of x. Recall the double angle identity for sine:

sin(2t) = 2 sin(t) cos(t)

We have t = arcsin(x/√7), which gives

sin(t) = sin(arcsin(x/√7)) = x/√7

cos(t) = cos(arcsin(x/√7)) = √(7 - x²)/√7

Then

∫ √(7 - x²) dx = 7/2 arcsin(x/√7) + 7/4 • 2 sin(arcsin(x/√7)) cos(arcsin(x/√7)) + C

… = 7/2 arcsin(x/√7) + x/2 √(7 - x²) + C

how do i delete my answer because apparently my answer is wrong so yes i don't know how to delete it so i'm just editing it and have a good day people

Answer:

y=[tex]\frac{1}{5}[/tex]

Step-by-step explanation:

y=m-+x so y=slope+or-y-intercept

The percentage by which Janice's net salary must be increased in order to arrive at the same net family income as they had before Joe lost his job is 25%.

A percentage is a way to describe a part of a whole. such as the fraction ¼ can be described as 0.25 which is equal to 25%.

To convert a fraction to a percentage, convert the fraction to decimal form and then multiply by 100 with the '%' symbol.

Let the salary of Joe be represented by x, while the salary of Janice is represented by y.

Since the sum of the salary of Joe and Janice is the net income of the family. Therefore, the net salary when Joe had a job will be,

x + y₁ = 100%

Now, it is known that Joe lost his job, which reduced the net family income by 20%.  Therefore, the net salary now will be only 80% which will be equal to the salary of Janice. Thus, we can write,

y₁ = 80%

Further, Janice decided to work overtime to compensate for the lost income. Therefore, we can write,

y₂ = 100%

Furthermore, the percentage change in salary of Janice can be written as,

Percentage Change = [(100% - 80%)/80% ] × 100%

                                  = 20/80  × 100%

                                  = 25%

Hence, the percentage by which Janice's net salary must be increased in order to arrive at the same net family income as they had before Joe lost his job is 25%.

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Answer:

Part 1: The entry fee is $5

Part 2: Each minute costs 25 cents

Step-by-step explanation:

In the expression, the '+5' represents the fee added to '.25m' the cost per each minute.

Answer:

$16

Step-by-step explanation 2 x 8 to 8 + 8 =16

Answer:

Step-by-step explanation:

1000 + 500 = 1500mg (for 1 day)

1500 * 30 = 4500mg (1 month)

4500 : 500 = 90 tablets

Answer:

4

Step-by-step explanation:

1[tex]\frac{1}{2} / \frac{1}{8} = \frac{1}{2} * \frac{8}{1} = \frac{8}{2} = 4[/tex]

she forget that fraction will reverse if it move below or up side, I think

5 - x² < 4

- x² < 4 - 5

- x² < - 1

=》x² < 1

Now, let's check with x = 1

x² < 1

(1)² < 1

1 < 1

1 is not less than or greater than 1. They are equals. So, the inequality 5 - x² < 4 is NOT true for x = 1.

_____

Hope it helps ⚜

Answer:

a = 11

Step-by-step explanation:

As all angles on a straight line must add up to 180°:

(9a + 6) + 75 = 180

9a + 6 + 75 = 180

9a + 81 = 180

Subtract 81 from both sides of the equation:

9a + 81 - 81 = 180 - 81

9a = 99

Divide both sides by 9 to isolate a:

9a ÷ 9 = 99 ÷ 9

a = 11

Hope this helps!

Answer:

[tex]a=11[/tex]

Step-by-step explanation:

These are supplementary angles, meaning they together make up the whole measure of the angle of a straight line. A straight line is 180°, so the sum of these has to be 180° too:

[tex](9a+6)+75=180[/tex]

Then just solve for a:

[tex]9a+6+75=180\\9a+81=180\\9a=99\\a=11[/tex]

Answer:

The first answer is 21x+22.

Second answer is 36+3x.

Third answer is 29x+6.

Step-by-step explanation:

I just simplified

Answer:

27.8%

Step-by-step explanation:

[tex]\frac{32.5}{45} =0.722[/tex]

0.722 = 72.2%

The % reduction is:

(100-72.2)% = 27.8%

Hope this helps

Answer:

[tex]1\frac{11}{16}[/tex]

Step-by-step explanation:

Convert mixed numbers into improper fractions.

= [tex]\frac{-\frac{9}{2}}{\left(-2\frac{2}{3}\right)}[/tex]

= [tex]\frac{-\frac{9}{2}}{\left(-\frac{8}{3}\right)}[/tex]

= [tex]\frac{\frac{9}{2}}{\frac{8}{3}}[/tex]

= [tex]\frac{9\cdot \:3}{2\cdot \:8}[/tex]

= [tex]\frac{27}{2\cdot \:8}[/tex]

= [tex]\frac{27}{16}[/tex]

Convert improper fraction into mixed number.

= [tex]1\frac{11}{16}[/tex]

Answer:

98 is the answer.

Step-by-step explanation:

x/7 = 14

=> 14 × 7 = 7 × x/7

=> x = 98

Therefore, 98 is the answer.

Hoped this helped.

Answer:

LCD = 12

Equivalent Fractions with the LCD

5/6 = 10/12

5/4 = 15/12

Step-by-step explanation:

Rewriting input as fractions if necessary:

5/6, 5/4

For the denominators (6, 4) the least common multiple (LCM) is 12.

LCM(6, 4)

Therefore, the least common denominator (LCD) is 12.

Calculations to rewrite the original inputs as equivalent fractions with the LCD:

5/6 = 5/6 × 2/2 = 10/12

5/4 = 5/4 × 3/3 = 15/12

I used a least common denominator calculator so I hope this helped!!

Answer:

I have it!

Step-by-step explanation:

Answer: $3

Step-by-step explanation:

15 times .20 then subtract that from 15

Answer:

$3

Step-by-step explanation:

because other people said it and especially your MOTHER SAID IT TOO HAHAHAHAHAHAHAHAHAHAHAHAHAHAHAH

Answer:

i don't know can u solve plz

Answer:

(3, 8)

Step-by-step explanation:

For this, draw a graph and locate the points. Then you can determine where the missing point should be to draw a square. Check out the graph I sent to understand what I'm talking about.

Answer:

where is the diagram u there is must must graphic of this or diagram

Answer:

15, 6,0, 11, 7

I'm not sure but hope it helps

Step-by-step explanation:

y=8+7

=15

y=-1+7

=6

y=-7+7

=0

y=4+7

=11

y=0+7

=7

Answer:

Step-by-step explanation

Area of a triangle

      A = ½bh

dA/dt = ½(b(dh/dt) + h(db/dt)

dA/dt = ½(4(9) + 12(-5))

dA/dt = ½(36 - 60)

dA/dt = ½(-24)

dA/dt = -12 cm²/s

The rate of change of the area of the triangle is [tex]-12 cm^2/s[/tex].

The measurement that expresses the size of a region on a plane or curved surface is called area. Surface area refers to an area of an open surface or even the boundary of a three-dimensional object, whereas the area of a plane region as well as plane area refers to a area of a shape or planar lamina. Area can be interpreted as the quantity of material with a specific thickness required to create a model of the shape or as the quantity of paint required to completely cover a surface in a single coat. It is the two-dimensional equivalent of a curve's length.

A shape's area can be calculated by contrasting it with squares of a known size.

[tex]\frac{\mathrm{d} b(t)}{\mathrm{d} t}=-5cm/s[/tex]

[tex]\frac{\mathrm{d} h(t)}{\mathrm{d} t}=9 cm/s[/tex]

[tex]\frac{\mathrm{d}A }{\mathrm{d} t}=\frac{1}{2}\left (b\frac{\mathrm{d} h}{\mathrm{d} t} +h\frac{\mathrm{d} b}{\mathrm{d} t}\right )[/tex]

[tex]\frac{\mathrm{d} A}{\mathrm{d} t}=-12 cm^{2}/s[/tex]

Hence, The rate of change of the area of the triangle is [tex]-12 cm^2/s[/tex].

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Given that, AB ≅ ED, CA ≅ CE, and AC bisects BD, the two-column proof that shows ΔABC ≅  ΔEDC by SSS Congruence Theorem is shown in the image attached below.

The side-side congruence theorem (SSS) states that if two triangles has three pairs of sides that are congruent to each other, then both triangles are congruent.

We are given the following information:

Since AC bisects BD, therefore the third pair of sides of ΔABC and ΔEDC, BC and CD, will be congruent.

Therefore, it implies that both triangles has three pairs of congruent sides (AB ≅ ED, CA ≅ CE, and BC ≅ CD), which meets the criterion of the SSS Congruence Theorem.

Therefore,  ΔABC ≅  ΔEDC by SSS Congruence Theorem.

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Answer:

Solving for x, the answer is x = 1 - y/3

Hope this helps :D

Answer:

Step-by-step explanation:

y= -3x+3 is the equation of a straight line with slope -3 and y-intercept 3. The x-intercept is found by letting y = 0 and solving for x:  x = 1.

y= -3x+3 can be re-written in "standard form:"  3x + y = 3.

Answer:

L = 40

w = 36

Step-by-step explanation:

P = 2*L + 2*w

L = w + 4

w = w

P = 152

P = 2*(w + 4) + 2*w             Remove the brackets

P = 2w + 8 + 2w                  Combine and switch sides Use P = 152

4w + 8 = P

4w + 8 = 152                        Subtract 8 from both sides.

4w = 152 - 8

4w = 144                               Divide by 4

4w/w = 144/4                  

w = 36

L = w + 4

L = 36 + 4

L = 40

Answer:

1. 4+x

2. x-6

3. 8x

4. x/7

5. x+5=15

Step-by-step explanation:

Answer:

3

Step-by-step explanation:

[tex]perimeter = 17 + 19 + 7 + 11 + 10 + 8 \\ [/tex]

[tex]perimeter = 72 \: \: cm[/tex]

Answer: 0.152207 %

Step-by-step explanation: divide the amount by the total to get the percentage.