Solve the following question

Answer:

False

Step-by-step explanation:

x + 3 < -5

x < -8

-x > -8

x < 8

Both aren't same

1st question

volume of the bottle in inches ?

cylinder volume = area x height

                           = pi x r² x h

                           = 3,14 x 4,5² x 9,10

the bottle volume is 578,62 in³

then

3 ounces of water...........2 in³

? ounces of water..........578,62 in³

? = 3 x 578,62 : 2

? ≈ 868 ounces of water

From calculations, the given integral ∫c x sin(y)ds is equal to [tex]20\left(-\frac{1}{3}\cos \left(4\right)+\frac{1}{9}\sin \left(4\right)-\frac{1}{9}\sin \left(1\right)\right)=0.806[/tex].

The integrals are the opposite of derivatives. They are used in several applications, like: calculations of areas, volumes and others.

For solving an integration, you should know its rules. For this question will be necessary to apply the following integration rules:

First, you should calculate the segment from the points (0, 1) and (4, 4).

segment=(4-0,4-1)=(4,3).

After that you should parametrize the segment:

r(t)=(0,1)+(4t,3t)= (4t,3t+1), where 0≤t≤1

Now, you can find dr/dt.

r'(t)=(4,3)

Consequently, the magnitude of |r'(t)| will be:

|r'(t)|  =[tex]\sqrt{4^2+3^2}=\sqrt{16+9}=\sqrt{25} =5[/tex]

Finally you can evaluate the integral: ∫c x sin(y)ds. From r(t), you know that x=4t and y=3t+1.

[tex]\int _0^1\:xsin\left(y\right)\:ds=\int _0^1\:4t\cdot sin\left(3t+1\right)\:\cdot 5ds=\int _0^1\:20t\cdot sin\left(3t+1\right)\:\cdot ds[/tex]

Applying the Rule Integration for a Constant.

[tex]\int _0^1\:20t\cdot sin\left(3t+1\right)\:\cdot dt\\ \\ 20\cdot \int _0^1t\sin \left(3t+1\right)dt\\ \\[/tex]

Applying the Rule Integration by Parts.

∫u v dx = uv -∫v du

u=t

dv= sin(3t +1 )dt, then v=

[tex]=20\left[-\frac{1}{3}t\cos \left(3t+1\right)-\int \:-\frac{1}{3}\cos \left(3t+1\right)dt\right]^1_0\\ \\=20\left[-\frac{1}{3}t\cos \left(3t+1\right)+\frac{1}{9}\sin \left(3t+1\right)\right]^1_0\\ \\ =20\left(-\frac{1}{3}\cos \left(4\right)+\frac{1}{9}\sin \left(4\right)-\frac{1}{9}\sin \left(1\right)\right)\\ \\ =0.806[/tex]

Read more about integration rules here:

https://brainly.com/question/14405394

The value of the integral  ∫c x sin(y)ds where c is the curve is 0.806 if the line segment is from (0,1) to (4,4).

It is defined as the mathematical calculation by which we can sum up all the smaller parts into a unit.

First, we have to calculate line segment (0,1 ) to (4, 4)

= (4-0, 4-1) = (4, 3)

Parametric form of the segment:

P(t) = (0+4t, 3t)   where 0 ≤ t ≤ 1

Now differentiate the segment:

P'(t) = (4, 3)

The magnitude of the P'(t)

[tex]\rm P'(t) = \sqrt{4^2+3^2}[/tex]

P'(t)  = 5

Now the integration can be evaluated from the P(t)

[tex]\rm \int\limits^1_0 {xsin(y)} \, ds = \int\limits^1_0 {4tsin(3t+1)} \, 5ds[/tex]    ( x= 4t, y = 3t+1)

[tex]\rm \int\limits^1_0 {xsin(y)} \, ds = 20\int\limits^1_0 {tsin(3t+1)} \, ds[/tex]

The value of the integration:

[tex]\rm \int \limits^1_0 {tsin(3t+1)} \, ds = 0.040[/tex]

[tex]\rm \int\limits^1_0 {xsin(y)} \, ds = 20(0.04)[/tex]

[tex]\rm \int\limits^1_0 {xsin(y)} \, ds =0.806[/tex]

Thus, the value of the integral  ∫c x sin(y)ds where c is the curve is 0.806 if the line segment is from (0,1) to (4,4).

Learn more about integration here:

brainly.com/question/18125359

#SPJ4

Collinear points: Three points A, B and C are said to be collinear if they lie on the same straight line.

There points A, B and C will be collinear if AB + BC = AC as is clear from the adjoining figure.

In general, three points A, B and C are collinear if the sum of the lengths of any two line segments among AB, BC and CA is equal to the length of the remaining line segment, that is, either AB + BC = AC or AC +CB = AB or BA + AC = BC.

In other words,

There points A, B and C are collinear if:

(i) AB + BC = AC i.e.,

Or, (ii) AB + AC = BC i.e. ,

Or, AC + BC = AB i.e.,

Answer: B. 4

Sorry for the really late answer

Step-by-step explanation:

If the radius of a right circular cylinder is multiplied by k, and its height does not change, then the volume of the cylinder is multiplied by k². The radius of can Q is twice as great as the radius of can p. Therefor, the volume of can Q is 2², or 4 times larger than the volume of can p.

Answer:

I believe the answer is 760 ft²

Step-by-step explanation:

16×39/2=312

(17+39)(16)/2=448

448+312=760ft²

let me know if it was right. good luck!

Answer:

x=-2, y=-9

Step-by-step explanation:

Given that:

[tex]\begin{bmatrix}3x+y=-15\\ 2x-3y=23\end{bmatrix}[/tex]

Solution:

[tex]\mathrm{Isolate\;x\;for\;3x+y=-15:x=\frac{-15-y}{3}}[/tex]

[tex]\mathrm{Substitute\:}x=\frac{-15-y}{3}[/tex]

[tex]\begin{bmatrix}2\cdot \frac{-15-y}{3}-3y=23\end{bmatrix}[/tex]

Simplify to:

[tex]\begin{bmatrix}\frac{-30-11y}{3}=23\end{bmatrix}[/tex]

[tex]\mathrm{Isolate\;y\;for\;\frac{-30-11y}{3}=23:y=-9}[/tex]

[tex]\mathrm{For\:}x=\frac{-15-y}{3}[/tex]

[tex]\mathrm{Substitute\:}y=-9[/tex]

[tex]x=\frac{-15-\left(-9\right)}{3}[/tex]

Solve:

[tex]x=-2[/tex]

Hence the answer is:

[tex]x=-2,\:y=-9[/tex]

~lenvy~

Answer:

4. / D.

Step-by-step explanation:

[tex]t-15=76\\t=76-15\\t=61[/tex]

Answer:

The answer is B

Step-by-step explanation:

I got it right

:-)

Answer:

it'sssssss 2.51

Step-by-step explanation:

========≈==================

Step-by-step explanation:

this answer is that correct

brain lest

If 365 of her masks are on the wall, and 27% of her masks are in the display case. Then 467 marks are the total number of masks in Lily's collection

percentage, a relative value indicating hundredth parts of any quantity.

Given,

Lily keeps masks in a display case and the rest on the wall.

365 of her masks are on the wall.

27% of her masks are in the display case

We need to find what is 27% of 365 to solve this problem

27/100×365=0.27×365

=98.55

Now we need to find  the total number of masks in Lily's collection

365+98.55

463.55

467

Hence, 467 are total number of masks in Lily's collection.

To learn more on Percentage click:

https://brainly.com/question/28269290

#SPJ2

Using your calculator the inverse sine of 0.48(sin⁻¹ 0.48) to the nearest degrees is 29 degrees.

According to the question, we are to use calculator to find the inverse sine of 0.48. This can be represented mathematically as follows:

sin⁻¹ 0.48

The exponential -1 tells us that it is an inverse sine.

The picture below gives are more pictorial way to use calculator to find inverse sine of 0.48.

Always check if your calculator is set in degree and not radian.

Therefore,

sin⁻¹ 0.48 = 28.6854020141

To the nearest degrees,

sin⁻¹ 0.48 = 29°

learn more on inverse sin here: https://brainly.com/question/11585339

The answer would be 4

Answer:

Supplementary angles add up to = 180. Whatever the value of x is must add up with one of these answer choices to = 180 degrees. I am not provided this information, so this is all I got.

Step-by-step explanation:

Answer:

the pizza one is 4/8

Step-by-step explanation:

skating one 6.75 miles

Answer:

.1825 per ounce

Step-by-step explanation:

find the per ounce for each equation, then find the average per ounces from the 4 equations

Answer:

3025

Step-by-step explanation: Add the first five square numbers together then square that.

1²+2²+3²+4²+5² = 55

55² = 3025

Answer:

(2,3) or x=2 and y=3

Step-by-step explanation:

find x...

3x-6y= -12

3x = 6y-12

x = 2y-4

plug x into the other equation

6(2y-4) + 6y = 30

12y-24 +6y = 30

18y = 54

y = 3

Plug y into an equation to find x

3x-6(3) = -12

3x-18= -12

3x=6

x=2

[Answer] y=3 and x=2 or (2,3)

PLEASE RATE!! I hope this helps!!

If you have any questions comment below

The value of c for which the considered trinomial becomes perfect square trinomial is: 20 or -20

They are those expressions which are found by squaring binomial expressions.

Since the given trinomials are with degree 2, thus, if they are perfect square, the binomial which was used to make them must be linear.

Let the binomial term was ax + b(a linear expression is always writable in this form where a and b are constants and m is a variable), then we will obtain:

[tex](ax + b)^2 = a^2x^2 + b^2 + 2abx[/tex]

Comparing this expression with the expression we're provided with:

[tex]x^2 + 10x + c[/tex]

we see that:

[tex]a^2 = 1 \implies a = \pm 1\\b^2 = 10\\b = \pm 10\\2ab = c\\\pm2(10)1 = c\\c = \pm 20\\[/tex]

Thus, the value of c for which the considered trinomial becomes perfect square trinomial is: 20 or -20

Learn more about perfect square trinomials here:

https://brainly.com/question/88561

Answer:What is the probability of spinning a 2 on the spinner?

Image result for You roll a number cube and then spin a spinner with two equal-sized sections. What is the probability of rolling a number greater than 3 and spinning red? A. 1/4 B. 1/6 C. 1/3 D. 1/2

There are 2 sections on the spinner that contain a '2'. The probability of spinning a 2 is 2 / 8 . The probability of spinning a 3 is also 2 / 8

Step-by-step explanation:

The probability of rolling a number greater than 3 and spinning red is 1/4.

We need to determine the favorable outcomes (the outcomes that satisfy both conditions) and the total possible outcomes.

The numbers greater than 3 and corresponding to the red section are: 4R, 5R, and 6R. So, there are 3 favorable outcomes.

Since we have a number cube with 6 sides and a spinner with 2 sections, the total possible outcomes are the product of the number of sides on the cube and the number of sections on the spinner, which is 6 × 2 = 12.

The probability is calculated by dividing the number of favorable outcomes by the total possible outcomes.

Probability = Favorable outcomes / Total possible outcomes

= 3 / 12

= 1 / 4

To learn more on probability click:

https://brainly.com/question/11234923

#SPJ2

Answer:

[tex]\sf 3^{-3x}=3^{(-4x+6)}[/tex]

[tex]\sf x=6[/tex]

Step-by-step explanation:

[tex]\sf Given \ equation: \left(\dfrac{1}{27}\right)^x=3^{(-4x+6)}[/tex]

[tex]\sf As \ \dfrac{1}{27}=\dfrac{1}{3^3} \ and \ \dfrac{1}{a^b}=a^{-b} \ then \ \dfrac{1}{27}=3^{-3}[/tex]

Therefore, we can rewrite the given equation with base 3:

[tex]\implies \sf (3^{-3})^x=3^{(-4x+6)}[/tex]

Apply the exponent rule [tex]\sf (a^b)^c=a^{bc}[/tex] :

[tex]\implies \sf 3^{-3x}=3^{(-4x+6)}[/tex]

[tex]\sf If \ a^{f(x)}=a^{g(x)} \ then \ f(x)=g(x)[/tex]

[tex]\implies -3x=-4x+6[/tex]

Add 4x to both sides to solve for x:

[tex]\implies \sf x=6[/tex]

Answer:

434

Step-by-step explanation:

310 times .4 (percentage) = 124 which is how much she gained, then you add that onto the original amount to find how many she has now, which is 434

Answer:

7 pairs of shoes

Step-by-step explanation:

So your equation is P(x) = -6x² + 60x - 126. This is a parabolic function, and it looks like we can factor it.

First, let's factor out -6 from the equation to simplify it. If we divide each part of the equation by -6, that leaves us with -6(x² - 10x + 21).

Now, we can factor the equation further by finding two numbers that add up to -10 and multiply to get 21. We know that both have to be negative numbers since they add up to a negative number and multiply to a positive one. The numbers you get are -3 and -7, making the equation P(x) = -6(x-3)(x-7).

x = 3 or 7. To maximize profit, you should sell 7 pairs of shoes.

Hope this helps! :)

Answer:

∠TAN = 36°

Explanation:

An isoceles triangle has two equal sides and equal angle measure.

The total interior angle of a triangle sum ups to 180°

∠TAN = ∠TNA

=========

Answer:

B

Step-by-step explanation:

the sides of a regular pentagon are congruent , then

AT = NT and so Δ TAN is isosceles with base angles congruent , so

∠ TAN = [tex]\frac{180-108}{2}[/tex] = [tex]\frac{72}{2}[/tex] = 36° → B

Answer:

C. b= a+4

Step-by-step explanation:

The 3,572.1 m³ volume of the hexagon and the 19 m. length of the cars and 3-m connector, gives;

From a similar question, we have;

Side length of the hexagon = 8.1 m

Perpendicular distance from the center to a side of the hexagon = 7 m.

Therefore;

Cross sectional area of the hexagon, A is found as follows;

A = 6 × 0.5 × 7 × 8.1 = 170.1

Length of the tunnel, D = 3572.1 ÷ 170.1 = 21

D = 21 meters

Length of two cars and a connector, L = 8 + 8 + 3 = 19

The tunnel length, D = 21 m. is longer than the length of two cars and the connector, L = 19 m.

Therefore;

Learn more about the volume of a prism here;

https://brainly.com/question/8976947

Answer:

5(t+6). I think this may helps you

Hey there!

Combine Like Terms and see if the expressions are equivalent or not.

6x-4-x

6x-x-4

5x-4

Is 5x-4 equivalent to 7x-4? No.

Hope everything is clear.

Let me know if you have any questions!

Always remember: Knowledge is power!

Answer:

Given;  7x – 4 and 6x – 4 – x

To Find; how you can tell if the expressions 7x – 4 and 6x – 4 – x are equivalent

Solution; This question can be easily solved by letting some value of x and putting in both the equation to check whether both are equal or not

Let x=1

7x-4=3 and 5x-4=1

Since both are not equal Hence the given equations are not equalnation:

Answer:

-4, 10.

Step-by-step explanation:

(x – 3)^2 = 49

x - 3 = ±√49

x = 3 ± 7

= -4, 10.

The function D represents the cost is  $175  for of x towels.

For the first 20 towels, the equation is simply 5x.

The 5 is the cost per towel ($5) times the number of towels sold up to and including 20 towels.

Replace x by 20 in given expression  we get the maximum cost

So the maximum cost of those 20 towels is $5 (20)=$100.

Looking at towels 21 and greater, the price drops to $3 each. Putting this in a formula,

Therefore we get,

3(x-20)+100

Which is $3 for the cost per towel, (x-20) since it starts with towel number 21, and +100 for the cost of the first 20 towels.

Let's try it for 45 towels using the formula

3 (45-20)+ 100

=3(25) + 100

=75+ 100

= $175

The function D represents the cost is  $175  for of x towels.

To learn more about the cost visit:

https://brainly.com/question/21290274

Answer:

d

Step-by-step explanation:

edge 2022

Answer:

16.80 ft long

Step-by-step explanation: