helpppp pleaseeee thank you

Answer:

y = 1x + 2

Step-by-step explanation:

did i get it right?

Answer:

\(y=\frac{3}{4} x+2\)

Step-by-step explanation:

y=mx+b

We have two points (0,2) and (4,5).

2=m(0)+b --> So b=2

5=4m+2

4m=3

m=\(\frac{3}{4}\)

\(y=\frac{3}{4} x+2\)

Answer:

option D ..............

Answer:

\(5.48 \times {10}^{ - 8} \\ \)

The number with a greater exponent is the smallest.

We can prove that there exists a positive constant C such that G(x) > C for all x, where G is a continuous function.

G is a function continuous at a and G(a)>0.

We have to prove that there exists a positive constant C such that G(x)>C for all x.

To prove this statement, we can use the epsilon-delta definition of continuity.

According to the epsilon-delta definition of continuity, if G is continuous at a, then for every ε > 0 there exists a δ > 0 such that for all x with |x - a| < δ, we have |G(x) - G(a)| < ε.

Now since G(a) > 0, let ε = G(a)/2.

So there exists a δ > 0 such that for all x with |x - a| < δ,

we have |G(x) - G(a)| < G(a)/2.

Since G(a) > 0,

we can multiply both sides of this inequality by 2 to get:

2|G(x) - G(a)| < G(a).

Adding G(a) to both sides, we get:

2|G(x) - G(a)| + G(a) < 2G(a).

Let C = G(a)/2.

Then we have:

|G(x) - G(a)| < C for all x with |x - a| < δ.

G(x) - G(a) > -C and G(x) - G(a) < C.

Then G(x) > G(a) - C > 0 for all x with |x - a| < δ, so we can choose δ small enough that |x - a| < δ implies G(x) > G(a) - C > 0.

Thus we have proved that there exists a positive constant C such that G(x) > C for all x.

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Answer:

12x^2; 21

Step-by-step explanation:

4x^2-3=4×1.5^2-3=6

4x^2-2=4×1.5^2-2=7

4x^2-1=4×1.5^2-1=8

6+7+8=p=21

Answer:

A ) 12x^2-6; 21 inches

Step-by-step explanation:

EDG2021

To determine the singular points of the given differential equation eˣy" - (x² - 5) y' + 8xy = 0, we need to find the values of x where the coefficients of y'' and y' become zero or infinite. Therefore, the singular points of the given differential equation are x = ±√5.

First, let's find the coefficient of y''. It is eˣy", which is never zero for any finite value of x. Therefore, there are no singular points due to the coefficient of y''.
Next, let's find the coefficient of y'. It is (x² - 5), which becomes zero at x = ±√5. Therefore, we have two potential singular points at x = ±√5.
Finally, let's find the coefficient of y. It is 8x, which is never zero for any finite value of x. Therefore, there are no singular points due to the coefficient of y.
In conclusion, the singular points of the given differential equation are x = ±√5. Note that further analysis is needed to determine the nature of these singular points.

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Answer:

you want to "isolate"  the variable "p" sooo...

Step-by-step explanation:

add 17 to both sides of the equation....  so you get

p = -6  :)

How to convert litres into grams?

Answer:

x=20

Step-by-step explanation:

A decrease in the price of cotton can have positive effects on the affordability and availability of socks in the market, benefiting consumers by potentially offering lower prices and a wider range of choices.

If the price of cotton falls in the market for a bag of socks, it is likely to have an impact on the overall cost and availability of socks. Cotton is a common material used in the production of socks, and its price plays a significant role in determining the cost of manufacturing.

When the price of cotton falls, it reduces the cost of raw materials for sock manufacturers. As a result, manufacturers may experience lower production costs. This can lead to several outcomes:

1. Decrease in sock prices: With lower production costs, manufacturers have the option to reduce the prices of socks to attract customers. This can result in more affordable socks for consumers, making them more accessible.

2. Increase in sock supply: Lower production costs may incentivize manufacturers to increase their sock production. As a result, the supply of socks in the market could rise, leading to a greater availability of socks for consumers.

3. Potential for improved quality or additional features: Manufacturers may choose to invest the cost savings from lower cotton prices into enhancing the quality of socks or adding extra features. This can result in socks with improved durability, comfort, or design, providing more options for consumers.

It's important to note that the impact of falling cotton prices on sock prices and availability may also depend on other factors, such as production and distribution costs, market competition, and consumer demand. Additionally, the extent to which the price reduction in cotton translates into lower sock prices may vary among different brands and retailers.

Overall, a decrease in the price of cotton can have positive effects on the affordability and availability of socks in the market, benefiting consumers by potentially offering lower prices and a wider range of choices.

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Answer:

\(2 \tan (6x)+2 \sec (6x)+\text{C}\)

Step-by-step explanation:

Fundamental Theorem of Calculus

\(\displaystyle \int \text{f}(x)\:\text{d}x=\text{F}(x)+\text{C} \iff \text{f}(x)=\dfrac{\text{d}}{\text{d}x}(\text{F}(x))\)

If differentiating takes you from one function to another, then integrating the second function will take you back to the first with a constant of integration.

Given indefinite integral:

\(\displaystyle \int \dfrac{12}{1-\sin (6x)}\:\:\text{d}x\)

\(\boxed{\begin{minipage}{5 cm}\underline{Terms multiplied by constants}\\\\$\displaystyle \int a\:\text{f}(x)\:\text{d}x=a \int \text{f}(x) \:\text{d}x$\end{minipage}}\)

If the terms are multiplied by constants, take them outside the integral:

\(\implies 12\displaystyle \int \dfrac{1}{1-\sin (6x)}\:\:\text{d}x\)

Multiply by the conjugate of 1 - sin(6x) :

\(\implies 12\displaystyle \int \dfrac{1}{1-\sin (6x)} \cdot \dfrac{1+\sin(6x)}{1+\sin(6x)}\:\:\text{d}x\)

\(\implies 12\displaystyle \int \dfrac{1+\sin(6x)}{1-\sin^2(6x)} \:\:\text{d}x\)

\(\textsf{Use the identity} \quad \sin^2 x+ \cos^2 x=1:\)

\(\implies \sin^2 (6x) + \cos^2 (6x)=1\)

\(\implies \cos^2 (6x)=1- \sin^2 (6x)\)

\(\implies 12\displaystyle \int \dfrac{1+\sin(6x)}{\cos^2(6x)} \:\:\text{d}x\)

Expand:

\(\implies 12\displaystyle \int \dfrac{1}{\cos^2(6x)}+\dfrac{\sin(6x)}{\cos^2(6x)} \:\:\text{d}x\)

\(\textsf{Use the identities }\:\: \sec \theta=\dfrac{1}{\cos \theta} \textsf{ and } \tan\theta=\dfrac{\sin \theta}{\cos \theta}:\)

\(\implies 12\displaystyle \int \sec^2(6x)+\dfrac{\tan(6x)}{\cos(6x)} \:\:\text{d}x\)

\(\implies 12\displaystyle \int \sec^2(6x)+\tan(6x)\sec(6x) \:\:\text{d}x\)

\(\boxed{\begin{minipage}{5 cm}\underline{Integrating $\sec^2 kx$}\\\\$\displaystyle \int \sec^2 kx\:\text{d}x=\dfrac{1}{k} \tan kx\:\:(+\text{C})$\end{minipage}}\)

\(\boxed{\begin{minipage}{6 cm}\underline{Integrating $ \sec kx \tan kx$}\\\\$\displaystyle \int \sec kx \tan kx\:\text{d}x= \dfrac{1}{k}\sec kx\:\:(+\text{C})$\end{minipage}}\)

\(\implies 12 \left[\dfrac{1}{6} \tan (6x)+\dfrac{1}{6} \sec (6x) \right]+\text{C}\)

Simplify:

\(\implies \dfrac{12}{6} \tan (6x)+\dfrac{12}{6} \sec (6x)+\text{C}\)

\(\implies 2 \tan (6x)+2 \sec (6x)+\text{C}\)

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Substitute \(y=6x\) and \(dy=6\,dx\) to transform the integral to

\(\displaystyle \int \frac{12}{1-\sin(6x)} \, dx = 2 \int \frac{dy}{1 - \sin(y)}\)

Now substitute \(t=\tan\left(\frac y2\right)\) and \(dt=\frac12 \sec^2\left(\frac y2\right) \, dy\) to transform this to

\(\displaystyle 2 \int \frac{dy}{1 - \sin(y)} = 2 \int \frac1{1-\frac{2t}{1+t^2}}\cdot\frac{2\,dt}{1+t^2} = 4 \int \frac{dt}{(t-1)^2}\)

Finally, substitute \(s = t-1\) and \(ds=dt\) to get

\(\displaystyle 4 \int \frac{dt}{(t-1)^2} = 4 \int \frac{ds}{s^2} = -\dfrac4s + C\)

Now recover the antiderivative in terms of \(x\).

\(\displaystyle \int \frac{12}{1-\sin(6x)} \, dx = -\frac4s + C \\\\ ~~~~~~~~ = -\frac4{t-1} + C \\\\ ~~~~~~~~ = -\frac4{\tan\left(\frac y2\right) - 1} + C \\\\ ~~~~~~~~ = \boxed{-\frac4{\tan(3x) - 1} + C}\)

Answer:

No solutions.

Step-by-step explanation:

We are given the inequality 6(x+3) < 3(2x+6), and we want to solve the inequality for x.

We can first do the distributive property on both sides, where we multiply each term on the left side by 6, and each term on the right by 3.

6(x+3) < 3(2x+6)

6x + 18 < 6x + 18

Solving inequalities is a lot like solving equations; we want to isolate the variable by itself on one side.

First, we can subtract 18 from both sides.

6x + 18 < 6x + 18

    -18           -18

____________________

6x < 6x

Now, we can subtract 6x from both sides, to get 6x off the right side.

6x < 6x

-6x   -6x

0 < 0

We now have the inequality 0 < 0. This is never true, as 0 is always equal to 0.

Therefore, there are no values of x that will make this true, because no matter what, we will end up with a false statement. The answer is no solutions.  

The magnitude of the vector sum of the four vectors = 278.158M

What is Magnitude?

The magnitude or size of a mathematical item defines whether it is larger or smaller than other objects of the same kind in mathematics. Formally speaking, the size of an object is the displayed outcome of an ordering—of the class of objects to which it belongs.

A = 82(cos 64 degree x +sin 64 degree y )

= 35.946 x +73.701y

B = 82 X

C= 82 Xx

D= 82 x (cos 64 degree x +sin 64 degree y)

= 35.946 x +73.701y

net = A+B+C+D

= X (35.946+82+82+35.946) + (2*73.701)

=235.892 X + 147.402Y

Magnitute = 278.158m

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If the chess board is made with the height of the king the length of the square is going to be 1.75 inches

This is the term that is used to refer to the relationship that is in existence between two independent amounts.

The ratio is given as

3. 5 = 4.5 inches

? = 2.25

The unknown that we are to solve for here would be the value of the height of the king. This is to be gotten when we have to use the cross multiplication

2.25 * 3.5 = 4.5?

7.875 = 4.5?

divide through by 4.5

? = 7.875 / 4.5

= 1.75

Hence the length of the square is 1.75 inches.

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The rate of change of the country's GDP 3 years from now is $10 billion/yr, based on the differentiation of the GDP function with respect to time.

To find the rate of change of the country's GDP 3 years from now, we need to differentiate the GDP function N(t) with respect to t and evaluate it at t = 3.

Given:

N(t) = t^2 + 4t + 400

Differentiating N(t) with respect to t:

N'(t) = 2t + 4

Evaluating N'(t) at t = 3:

N'(3) = 2(3) + 4

N'(3) = 6 + 4

N'(3) = 10 billion/yr

Therefore, the rate of change of the country's GDP 3 years from now is $10 billion/yr.The rate of change of the country's GDP 3 years from now is estimated to be $10 billion per year. This is determined by differentiating the GDP function N(t) with respect to time, which results in 2t + 4. Evaluating this expression at t = 3 yields a rate of change of 10 billion/yr.

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Considering the probabilities of each outcome, it is much more likely that Janet wins than David, hence this is not a fair method.

A probability is given by the number of desired outcomes divided by the number of total outcomes.

The 36 total outcomes for the roll of two dice are given as follows:

The number of outcomes in which the sum is less than 6 is:

10.

Hence the probability that David wins is:

p = 10/36.

Janet winning is complementary to David, hence the probability she wins is:

p = 26/36.

From the probabilities, it is much more likely that Janet wins than David, hence this is not a fair method.

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Answer:

8.7

Step-by-step explanation:

hypotenuse= 14 =c

a=11

b=x

a²+b²=c²

b²=c²-a²

b²=14²-11²

b²= 196-121

b²=75

b=√75=5√3=8.7 rounded to the nearest tenth

Final Answer:

x = 8.66

Step-by-step explanation:

formula: \(b=\sqrt{c^2-a^2}\)

a = 11

b = x

c = 14

\(b=\sqrt{14^2-11^2}\)

\(b=\sqrt{196-121}\)

\(b=\sqrt{75}\)

b = 8.66025

x = 8.66

rounded off to the nearest hundredths: 8.66

The mode  for the distribution of scores in the following frequency distribution table is 3, which is the second option.

This is a term used in statistics to refer to the number of highest occurrence. Mode refers to the value that highest the number of frequency. In finding the mode, it is better to orderly arrange the given data to help see the value that occurs more frequently as this is the mode.

For the values given in the distribution of scores in the frequency distribution table the mode is three  ( 3 ) and it is the second option

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Answer:

8.94

Step-by-step explanation:

Given that

qs = 12cm

qr = 8cm

Required  

rs

Using the pythagoras theorem

Let us assume qs is the hypotenuse side

qs² = qr² + rs²

12² = 8² + rs²

144 = 64 +rs²

rs² = 144 - 64

rs² = 80

rs = √80

rs = 8.94

Hence the value of rs is 8.94

The weight of the cable Dustin is using would be 58.67 pounds.

As per the given statement, Dustin is using a cable to lift heavy equipment.

His company has a table of the weights of various lengths of cable.

If Dustin needs to use 88 feet of cable, Pounds will this cable weigh:

Let us find the solution to the problem given in the question.

The length of the cable Dustin is using is 88 feet.

Using the table given by his company, the weight of the 88 feet long cable can be determined.

Using the terms given in the question, the solution is as follows:

Dustin needs to use 88 feet of cable, and the weight of this cable can be found from the table given by the company.

If we look at the table, it is evident that there is a weight of 2 pounds for every 3 feet of cable, so the weight of the 88 feet of cable Dustin is using would be:

Pounds of 3 feet of cable = 2 pounds of 3 feet of cable.

Pounds of 1 foot of cable = (2/3) pounds of 1 foot of cable

So, the weight of 88 feet of cable = (2/3) × 88 = 58.67 pounds.

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Question: Dustin is using cable to lift heavy equipment. his company has a table of the weights of various lengths of cable. if dustin needs to use 88 feet of cable, how many pounds will this cable weigh?

Length of cable in feet: 5 15 25 35

Weight of cable in pounds: 24.4 73.2 122.0 170.0

Answer:Step-by-step explanation:

Answer:

si cambia su volumen cada vez se pone mas fina la piramide

The answer to this question is:

A certain type of sailboat travels at 7 nautical miles per hour.

A summer camp provides 3 meals for each camper.

The amount of units of the first quantity that correspond to one unit of the second quantity is shown as the unit rate.

Nadia pays $30 for 2 baseball tickets.

i.e. the price for two baseball tickets is $30,

By the above definition,

It is not a unit rate,

A certain type of sailboat travels at 7 nautical miles per hour.

i.e., 7 nautical miles are covered in 1 hour,

By the above definition,

It is a unit rate,

The cost of 3 hot chocolates is $2.

i.e., there are 3 chocolates for every 2 dollars.

By the above definition,

It is not a unit rate,

A summer camp provides 3 meals for each camper.

i.e., 3 meals are provided for every camper,

By the above definition,

It is a unit rate.

Therefore,

are the options that describe unit rates.

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Answer:

1

Step-by-step explanation:

the greatest common factor of 9 and 22 is 1.

Answer: 219.91cm

Step-by-step explanation:

C=πd

π·70

=219.91149cm

Tripling the linear size of an object multiplies its area by a factor of nine.

When the linear size of an object is tripled, the area of the object is multiplied by 9.

This can be understood by considering the relationship between the linear size and the area of an object. If we assume that the object has a regular shape and the linear size refers to the length of its sides, then the area is directly proportional to the square of the linear size.

Let's denote the initial linear size of the object as L and the initial area as A. When the linear size is tripled, it becomes 3L. According to the square proportionality, the new area (A') can be expressed as:

A' = (3L)^2

A' = 9L^2

Comparing A' with the initial area A, we can see that A' is 9 times larger than A. Therefore, tripling the linear size of an object multiplies its area by 9.

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The fetus experiences tactile stimulation in the womb as a result of: several factors including movement, pressure, and the mother's digestive and respiratory systems.

Tactile stimulation is the sense of touch. The fetus can experience a sense of touch even while still in the womb. The sense of touch can be evoked by several factors including movement, pressure, and the mother's digestive and respiratory systems.In the womb, the fetus is in a dark, warm, and quiet environment.

Therefore, they can feel when their mother touches her stomach or when someone touches her from outside the belly. The tactile stimulation also occurs when the fetus moves around or kicks and stretches. The fetus' tactile sensitivity has been shown to be well-developed by the end of the first trimester.

The fetus is also sensitive to pressure changes. This is because the amniotic fluid in which they are suspended is influenced by changes in pressure. For instance, if the mother is sitting, standing, or lying down, this causes changes in the pressure of the amniotic fluid.

These changes cause the fetus to move or shift their position. This movement, in turn, stimulates the fetus' tactile senses.

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Answer:

B) 4.09

Step-by-step explanation:

C= 2πr

Answer:

5.6

Step-by-step explanation:

Answer:

Odd function

Step-by-step explanation:

Answer:

5.2

Step-by-step explanation: