Which is a correct first step in solving 5 - 2x < 8x - 3?
5 < 6x-3
3x < 8x - 3
5 < 10x - 3
2 - 2x < 8x

Answer:

Option 3

Step-by-step explanation:

3/2 times x - 3 = y can also be:

y=3/2 times x-3

-3 is the y-intercept. This is one of the points, (0,-3).

Now, you need to solve for x. Say y equals 0.

3/2 times x-3 will equal 0.

3/2 times 2 = 6/2 which equals 3. You can solve the equation now.

3/2 times 2 - 3 = 0

2 is the x-intercept. This is the other point in the line, (2,0).

So the answer is Option 3

This parametric representation describes the part of the cylinder x^2 + z^2 = 64 that lies above the xy-plane.

The part of the cylinder x^2 + z^2 = 64 that lies above the xy-plane can be parametrically represented as follows:

x = r * cos(theta)

y = r * sin(theta)

z = h

where r is the radius of the cylinder, theta is the angle measured from the positive x-axis, and h is the height above the xy-plane.

In this case, since the equation is x^2 + z^2 = 64, the radius r is 8 (sqrt(64)), and h can vary from -∞ to +∞. Thus, the parametric representation becomes:

x = 8 * cos(theta)

y = 8 * sin(theta)

z = h

where theta varies from 0 to 2π. This parametric representation describes the part of the cylinder x^2 + z^2 = 64 that lies above the xy-plane.

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Answer:

1

Step-by-step explanation:

You are multiplying the y values by 2

1

Answer:

1

Step-by-step explanation:

The answer would be 1. This is because when x=3, you have y=8. When x=2, you have y=4, and at this point you should realize that with each unit increase on the x-axis, you have to double the y-axis. Therefore, when x= 1, you have 2, and when x=0, you have 1.

Answer:

A. Beggining amount of money

Step-by-step explanation:

y=mx+b

T=75n+300

b=y-intercept

m=slope=rise/run

y-intercept is the starting amount.

where the x is 0 (0,y)

Hope this helps.

The given trigonometric expression is simplified to 1.

The given trigonometric expression is csc²θ-cot²θ.

We know that, cscθ = 1/sinθ and cotθ = cosθ/sinθ

Here, csc²θ-cot²θ = 1/sin²θ - cos²θ/sin²θ

= (1-cos²θ)/sin²θ

= sin²θ/sin²θ (sin²θ+cos²θ=1)

= 1

Therefore, the given trigonometric expression is simplified to 1.

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The middle 50% of observations are between 20 and 34. 50% of observations are less than 30. The largest 25% of observations are greater than 34.

The given five number summary for a particular quantitative variable is:

Min = 9

Q1 = 20

Median = 30

Q3 = 34

Max = 40

The middle 50% of observations are between the first quartile, Q1, and the third quartile, Q3. Hence, the middle 50% of observations lie between 20 and 34. The median (which is also the second quartile) is equal to 30, so 50% of the observations are less than 30.Finally, Q3 is the 75th percentile. Hence, 25% of the observations are greater than Q3. Since Q3 is equal to 34, the largest 25% of observations are greater than 34.

The middle 50% of observations are between 20 and 34. 50% of observations are less than 30. The largest 25% of observations are greater than 34.

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Answer:

(4,3)

Step-by-step explanation:

Hey there!

Option answer: \(1 \frac{1}{2} \: \: cubic \: inches\)

According to the title,

Volume = 12 × (1/2)\( {}^{3} \)

=> 12 × 1/8

=> \( \frac{12}{8} \)

=> \( \frac{3}{2} \)

=> \(1 \frac{1}{2} \)

Answer:

d

Step-by-step explanation:

first i do my formula which is length x width x height

the length is 3 the width is 2 and the height is 2 so 3x2x2 is 12

so the answer is d

Answer:

117.46 sq in

Step-by-step explanation:

The area of the square is 196 sq in, and the area of the circle is 78.54 sq in. Subtracting this gives us the empty space, which is 117.46 sq in. Hope this helps

177.46 inch²

hello

would you like to be my friend? ≧ω≦

can i please get your intro?

Myself Ojasvi

Class 8, 13

India

\( \tt \to \dfrac{96}{8} \)

\( \\ \\ \)

\( \tt \to \: 12 \: stickers\)

Verify:-

12 × 8 = 96

hope it helped u!

Answer:

96/8

I promise you that it os

Answer:

23rd term

Step-by-step explanation:

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Pythagoras's theorem provides a simplification of thee relationship between the sides of a right triangle

Reason:

Known parameters:

Length of the diagonal of the television picture, d = 10 cm

Television screen viewing area, A = 48 cm²

Required:

To find the length and width of the screen

Solution:

Let, L, represent the length of the screen, and let W represent the width of the screen

Considering the right triangle formed by the length, L, the width, W, and a line along the diagonal, d, according to Pythagoras's theorem, we have;

d² = L² + W²

The equation for the area of the screen is A = L × W

Plugging in the known values into the two equations above gives;

10² = L² + W²...(1)

48 = L × W...(2)

From equation (2), we have;

\(W = \dfrac{48}{L}\)...(3)

By substituting the expression for W in equation (3) above into equation (1) gives;

\(10^2 = \left(\dfrac{48}{L} \right)^2 + L^2 = \dfrac{48^2}{L^2} + L^2\)

10²·L² = 48² + L²⁺² = 48² + (L²)²

Let X represent L², we get;

X = L²

10²·X = 48² + X²

X² - 10²·X + 48² = 0

(X - 64)·(X - 36) = 0

∴ X =  L² = 64 or 36

The longest side is the length, therefore, the length of the screen, L = 8 cm

From \(W = \dfrac{48}{L}\), and L = 8, we have;

The width of the screen, W = 6 cm

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Answer:

2. The company's profit from selling their product for $6 per unit is $120.

Step-by-step explanation:

If we graph this function on a 2-axis plane such that the horizontal axis (x) represents \(s\), or the product's price per unit and the vertical axis (y) represents \(p(s)\), or the profit made by selling the product at \(s\) dollars, we'll find that the \(p\)-coordinate of the point where \(s=6\) is 120. Hence, $120 profit will be made if the product is sold at $6 per unit.

See the attached image for a graph.

The correlation coefficient indicative of the weakest linear relationship is option (c) -0.05. Among the given options, the correlation coefficient of -0.05 is the closest to 0, indicating the weakest linear relationship.

Correlation coefficient ranges from -1 to 1, with -1 indicating a perfect negative linear relationship, 1 indicating a perfect positive linear relationship, and 0 indicating no linear relationship. Therefore, a correlation coefficient closer to 0 indicates a weaker linear relationship. Among the given options, the correlation coefficient of -0.05 is the closest to 0, indicating the weakest linear relationship.

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According to the final temperature for each case, the two cups of coffee have the same final temperature.

In this question we have the case of two cups of coffee that are heated at two different temperatures, one in degrees centigrade and other in Kelvin, after being at the same temperature, both in degrees in Fahrenheit. According to the definitions of the three temperature scales, the following relationship in temperature changes is shown:

Δ °F = (9 / 5) Δ °C = (9 / 5) Δ K

Then, the final temperature of each cup of coffee is now determined:

Cup 1

T₁ = 100 °F + (9 / 5) · (20 ° C)

T₁ = 136 °F

Cup 2

T₂ = 100 °F + (9 / 5) · (20 K)

T₂ = 136 °F

Since T₁ = T₂, then the two cups of coffee have the same final temperature.

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The height of the water tower is 132 feet

We have the height to be 5 feet 4 inches

then 1 feet = 12 inches

inch = 1 / 12 ft

Then 4 inches = 1 / 12 x 4

= 1 / 3 ft

Height = 5 1/3

= 16 / 3

height of the shadow cast = 3 feet

For the water tank

74 ft 3 inches

= 74 x 3 / 12

297 / 4

the height of the tower

\(\frac{height of person}{height of shadow} =\frac{height of tower}{height of person}\)

= \(\frac{16/3}{3} =\frac{x}{297/4} \\\\\frac{16}{3*3} =\frac{4x}{297}\)

Then x = 132

Therefore the height of the water tower is 132 feet

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Answer:

2.996519411885697

Step-by-step explanation:

\( \tan(20) + \tan(230) + \tan(260) + \sin(20) = 2.996519411885697\)

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The base of a ladder should be set out a distance equal to one-fourth (1/4) the height to the point of support. This ensures stability and safety while using the ladder. It is important to pay attention to this detail when using a ladder to prevent accidents and injuries.

The base of a ladder should be set out a distance equal to 1/4 the height to the point of support.

Determine the height to the point of support (H).
Calculate the appropriate distance for the base of the ladder by using the formula: Distance = 1/4 * H.
Set the ladder's base at the calculated distance from the wall or support.

The base of a ladder should be set out a distance equal to one-fourth (1/4) the height to the point of support. This ensures stability and safety while using the ladder. It is important to pay attention to this detail when using a ladder to prevent accidents and injuries.
                                This guideline ensures that the ladder is placed at a safe angle to prevent it from slipping or falling.

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Transportation has become an essential part of our daily lives. It has transformed over time and has improved access to transportation services, increased connectivity, and intermodal options.

To meet the various transportation needs, different modes of transportation have evolved, including water, air, rail, 3PL, cross-docking, truck, intermodal, and pipeline. Each mode of transportation has unique characteristics and advantages. In this regard, matching the following transportation characteristics with the appropriate mode of transportation is necessary.

The most capable mode of transportation is the water mode of transportation. It has the highest capacity and can transport a vast amount of goods over long distances. It can transport large, heavy, and bulky goods that are difficult to transport by other modes of transportation. The mode of transportation that provides the most accessibility is the truck mode of transportation. It can reach almost any location as it can travel on roads and highways. It offers door-to-door service, which means that it can pick up the goods from the sender and deliver them to the receiver. The most reliable mode of transportation is the rail mode of transportation. It is not affected by traffic or weather conditions, which means that it can transport goods on time. It also has a low risk of accidents or delays, which makes it a reliable mode of transportation.

The fastest mode of transportation over a long distance is the air mode of transportation. It is the quickest mode of transportation as it can travel at high speeds and can cover long distances in a short time. This makes it ideal for transporting goods that need to be delivered urgently. The mode of transportation that has the lowest per-unit cost is the water mode of transportation. It is the most cost-effective mode of transportation as it can transport a large number of goods at once, which reduces the cost per unit.

Match the following descriptions with the appropriate transportation intermediary. The transportation intermediary that consolidates LTL shipments into FTL shipments is cross-docking. It takes small shipments from multiple companies and consolidates them into larger shipments. The transportation intermediary that is a nonprofit cooperative that arranges for members' shipments is 3PL.The transportation intermediary that brings shippers and carriers together is the intermodal mode of transportation. It provides an intermodal network to connect different modes of transportation to transport goods efficiently.

The transportation intermediary that purchases blocks of rail capacity and sells it to shippers is rail transportation. It makes it easier for shippers to transport goods using the rail mode of transportation.

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The probability that x forms are required is known to be proportional to  c = 1/15.   c= 2/5  c= 3/5, c= 1.1

(a) Since the probabilities must sum to 1, we have:

pX(1) + pX(2) + pX(3) + pX(4) + pX(5) = c(1 + 2 + 3 + 4 + 5) = 15c

Therefore, c = 1/(1 + 2 + 3 + 4 + 5) = 1/15.

(b) The probability that at most three forms are required is:

P(X ≤ 3) = pX(1) + pX(2) + pX(3) = c(1 + 2 + 3) = 6c = 2/5.

(c) The probability that between two and four forms (inclusive) are required is:

P(2 ≤ X ≤ 4) = pX(2) + pX(3) + pX(4) = c(2 + 3 + 4) = 9c = 3/5.

(d) No, because the probabilities do not sum to 1:

Σ pX(x) from x = 1 to 5

= (1/50)(1 + 4 + 9 + 16 + 25)

= 55/50

= 1.1

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\(\huge \bf༆ Answer ༄\)

The given triangles are similar by ~

Answer:

2

Step-by-step explanation:

this might be the rong answer

Answer:

x = 13.773

Step-by-step explanation:

cos(∠ABC) = \(\frac{BC}{AB}\)

cos(37°) = \(\frac{11}{x}\)

x = 13.773

Answer:

p= 14

Step-by-step explanation:

sorry if the pic is blurry but side PQ=3, side QR=4, side RS=3, side SP=4

perimeter= length+length+width+width

perimeter=3+3+4+4

perimeter=6+8

perimeter=14

This verifies that y = cos(4x) also satisfies the differential equation.

The given solutions satisfy the differential equation.

The given differential equation is y'' + 16y = 0, and the proposed solutions are y = sin(4x) and y = cos(4x). To verify, we need to find the second derivative (y'') of each solution and plug it into the equation.

For y = sin(4x), the first derivative (y') is 4cos(4x) and the second derivative (y'') is -16sin(4x). Now, substitute y and y'' into the equation: (-16sin(4x)) + 16(sin(4x)) = 0, which simplifies to 0 = 0. This verifies that y = sin(4x) satisfies the differential equation.

For y = cos(4x), the first derivative (y') is -4sin(4x) and the second derivative (y'') is -16cos(4x). Substitute y and y'' into the equation: (-16cos(4x)) + 16(cos(4x)) = 0, which simplifies to 0 = 0.

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Answer:

y=1.9

Step-by-step explanation:

Cuz its the answer.

Answer:

y = 1.9

Step-by-step explanation:

10.9y - 7.2y - 1.9y = -14.36 + 17.78

1.8y = 3.42

y = 1.9

Answer:

C

Step-by-step explanation: