The area of a rectangle is 12 square inches and the width is 3 inches what is the length

lamo thought it said terrorists

The work done by the force of 6 pounds acting at an angle of 60 degrees to the horizontal in moving the object 6 feet is 18 foot-pounds.

To find the work done by a force of 6 pounds acting in the direction of 60 degrees to the horizontal in moving an object 6 feet from (0,0) to (6,0), we can use the formula for work:

Work (W) = Force (F) * Distance (d) * cos(θ)

Where:

Force (F) is given as 6 pounds

Distance (d) is the displacement of the object, which is 6 feet in this case

θ is the angle between the force vector and the displacement vector, which is 60 degrees in this case

Plugging in the values into the formula, we have:

W = 6 pounds * 6 feet * cos(60 degrees)

To calculate cos(60 degrees), we need to convert the angle to radians:

60 degrees = (60 * π) / 180 radians

= π / 3 radians

Now we can calculate the work:

W = 6 * 6 * cos(π/3)

Using the value of cos(π/3) = 0.5, we can simplify further:

W = 6 * 6 * 0.5

= 18

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Gary would need 15.2 oz of glue and 7.6 oz of glitter to make 4 bottles.

Option D is the correct answer.

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

Example: 2 + 3x + 4y = 7 is an expression.

We have,

Bottles   Glue   Glitter

1              3.8       1.9

This means,

1 bottle = 3.8 oz of glue and 1.9 oz of glitter

Now,

1 bottle = 3.8 oz of glue

Multiply 4 on both sides.

4 bottle = 4 x 3.8 oz

4 bottle = 15.2 oz

1 bottle = 1.9 oz of glitter

Multiply 4 on both sides.

4 bottle = 7.6 oz

Thus,

15.2 oz of glue and 7.6 oz of glitter to make 4 bottles.

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Answer:

A

Step-by-step explanation:

First, we should put this equation in slope-intercept form by isolating y.

Thus, we have:

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

The slope-intercept equation shows that the y-intercept is -3 and the slope is 3/2.

Only answer A meets these requirements.

Answer:

there should have been names of every line and joining parts

The pair of figures having same volume are:

a. The cylinder has a radius of 3 units and a height of 8 units ; The cone has a radius of 6 units and a height of 6 units.

b. The cone has a radius of 8 units and a height of 9 units ; The cylinder has a radius of 4 units and a height of 12 units.

c. The rectangular prism length is labeled 16 units, width of 6 units, and height of 6 units ; The rectangular prism length is labeled 8 units, width of 8 units, height of 9 units.

What is volume of a figure?

Volume is a unit of measurement for three-dimensional space. It is usually stated quantitatively in terms of a number of imperial or US-standard units as well as SI-derived units.

i. The cone has a radius of 4 units and a height of 12 units.

⇒ Volume = π\(r^{2} \frac{h}{3}\)

⇒ Volume = π\(4^{2} \frac{12}{3}\)

⇒ Volume = 64 π

⇒ Volume = 201 cubic units

ii. The rectangular prism has a length of 18 units, a width of 6 units, a height of 6 units.

⇒ Volume = length * width * height

⇒ Volume = 18 * 6 * 6

⇒ Volume = 648 cubic units

iii. The rectangular prism length is labeled 16 units, width of 6 units, and height of 6 units.

⇒ Volume = length * width * height

⇒ Volume = 16 * 6 * 6

⇒ Volume = 576 cubic units

iv. The cylinder has a radius of 3 units and a height of 8 units.

⇒ Volume = π\(r^{2}\)h

⇒ Volume = π\(3^{2}\) * 8

⇒ Volume = 72 π

⇒ Volume = 226 cubic units

v. The cone has a radius of 8 units and a height of 9 units.

⇒ Volume = π\(r^{2} \frac{h}{3}\)

⇒ Volume = π\(8^{2} \frac{9}{3}\)

⇒ Volume = 192 π

⇒ Volume = 603 cubic units

vi. The rectangular prism length is labeled 8 units, width of 8 units, height of 9 units.

⇒ Volume = length * width * height

⇒ Volume = 8 * 8 * 9

⇒ Volume = 576 cubic units

vii. The cylinder has a radius of 4 units and a height of 12 units.

⇒ Volume = π\(r^{2}\)h

⇒ Volume = π\(4^{2}\) * 12

⇒ Volume = 192 π

⇒ Volume = 603 cubic units

viii. The cone has a radius of 6 units and a height of 6 units.

⇒ Volume = π\(r^{2} \frac{h}{3}\)

⇒ Volume = π\(6^{2} \frac{6}{3}\)

⇒ Volume = 72 π

⇒ Volume = 226 cubic units

Hence, three pairs have the same volume.

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The missing figures have been attached below.

1) The domain in interval notation is (-∞, 1) ∪ (1, 5/2) ∪ (5/2, ∞). 2) The y-intercept is (0, -12/5). 3) The x-intercepts are (2, 0) and (-2/3, 0). 4) The vertical asymptotes are x = 1 and x = 5/2. 5) The function does not have a horizontal asymptote.

1) The domain of the function can be determined by identifying the values of x for which the function is defined. In this case, the function is defined for all real numbers except the values that make the denominator equal to zero. Therefore, the domain in interval notation is **(-∞, 1) ∪ (1, 5/2) ∪ (5/2, ∞)**.

2) The y-intercept is the point where the function intersects the y-axis. To find this point, we substitute x = 0 into the function:

f(0) = (9(0)^2 - 12(0) - 12) / (2(0)^2 - 7(0) + 5)

    = (-12) / (5)

    = -12/5

Therefore, the y-intercept is the point (0, -12/5).

3) The x-intercepts are the points where the function intersects the x-axis. To find these points, we set the numerator equal to zero and solve for x:

(3(x - 2)(3x + 2)) = 0

Setting each factor equal to zero, we have:

x - 2 = 0    -->    x = 2

3x + 2 = 0    -->    x = -2/3

Therefore, the x-intercepts are the points (2, 0) and (-2/3, 0).

4) Vertical asymptotes occur when the denominator of the function equals zero, provided the numerator does not simultaneously equal zero. To find the vertical asymptotes, we set the denominator equal to zero and solve for x:

(x - 1)(2x - 5) = 0

Setting each factor equal to zero, we have:

x - 1 = 0    -->    x = 1

2x - 5 = 0    -->    x = 5/2

Therefore, the vertical asymptotes are x = 1 and x = 5/2.

5) The horizontal asymptote can be determined by analyzing the degrees of the numerator and denominator of the function. Since the degree of the numerator is equal to the degree of the denominator, we compare the leading coefficients:

Leading coefficient of the numerator: 3

Leading coefficient of the denominator: 2

Since the leading coefficients are not equal, the function does not have a horizontal asymptote.

To summarize:

1) The domain in interval notation is (-∞, 1) ∪ (1, 5/2) ∪ (5/2, ∞).

2) The y-intercept is (0, -12/5).

3) The x-intercepts are (2, 0) and (-2/3, 0).

4) The vertical asymptotes are x = 1 and x = 5/2.

5) The function does not have a horizontal asymptote.

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The cartesian equation for the curve given by r = 9 tan(θ) sec(θ) is:

y = x(sec(x))^2, where x = θ - π/2.

The given polar equation can be simplified using the trigonometric identity for tangent and secant:

r = 9 tan(θ) sec(θ)

r = 9 sin(θ) / cos(θ) * 1 / cos(θ)

r = 9 sin(θ) / cos^2(θ)

Converting to cartesian coordinates using r^2 = x^2 + y^2 and x = r cos(θ), y = r sin(θ), we get:

(x^2 + y^2) = 81 y / x^2

Multiplying both sides by x^2, we get:

x^2 + y^2 = 81y / x^2 * x^2

x^2y^2 + x^4 - 81y = 0

Substituting x = θ - π/2, we get:

(y / (θ - π/2))^2 + (y / (θ - π/2))^4 - 81y = 0

Simplifying this expression gives us the cartesian equation for the curve:

y = x(sec(x))^2, where x = θ - π/2.

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To solve the separable differential equation dy/dx = 8y, we must first separate the variables, resulting in two separate integrals. We will have dy/y = 8 dx. Now, we need to find the integrals:

1) Integral of dy/y:
∫(1/y) dy

2) Integral of 8 dx:
∫8 dx

Next, we solve the integrals:

1) ∫(1/y) dy = ln|y| + C₁
2) ∫8 dx = 8x + C₂

Now, we combine these results to find the general solution:
ln|y| = 8x + C, where C = C₂ - C₁.

To solve for y, we take the exponent of both sides:
y = e^(8x + C) = e^(8x)e^C. We can write e^C as a new constant k, so y = ke^(8x).

Now, we need to find the particular solution satisfying the initial condition y(0) = -2. To do this, plug in the values into the equation:

-2 = k * e^(8 * 0)
-2 = k * e^0
-2 = k * 1
k = -2

So the particular solution satisfying the initial condition is y(x) = -2e^(8x).

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Answer:

THE SLOPE OF 7/4 IS 0

\(▪▪▪▪▪▪▪▪▪▪▪▪▪  {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪\)

The value of x in given expression is ~

\( \boxed{21}\)

\( \large \boxed{ \mathfrak{Step\:\: By\:\:Step\:\:Explanation}}\)

Let's solve for x ~

(a) The length of side AC is 2.5 units.

(b) The length of side XY is 5 units.

(c)  The length of side QR is approximately 4.95 units.

Problem 1: Find the length of side AC in the right triangle below if AB = 5 and angle A = 30 degrees.

Solution:

We can use the trigonometric ratio of sine to solve for the missing side.

sin(A) = opposite / hypotenuse

sin(30) = AC / 5

AC = 5 * sin(30)

AC = 2.5

Problem 2: In triangle XYZ, angle Y is 90 degrees and side XZ is 10. Find the length of side XY if angle X is 30 degrees.

Solution:

We can use the trigonometric ratio of sine to solve for the missing side.

sin(X) = opposite / hypotenuse

sin(30) = XY / 10

XY = 10 * sin(30)

XY = 5

Problem 3: In triangle PQR, angle P is 45 degrees, side PQ is 5, and side PR is 7. Find the length of side QR.

Solution:

We can use the trigonometric ratio of cosine to solve for the missing side.

cos(P) = adjacent / hypotenuse

cos(45) = QR / 7

QR = 7 * cos(45)

QR = 4.95 (rounded to two decimal places)

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False. A nation's population cannot decline rapidly if there are no deaths.

The population of a nation is determined by the balance between births, deaths, and migration. If there are no deaths occurring within a population, the only factor that can lead to population decline are a decrease in birth rates or significant emigration.

Population decline occurs when the number of births is lower than the number of deaths or when a large number of individuals leave the country. In such cases, the population may experience a decline even without deaths. However, it is important to note that in natural circumstances, a declining population typically involves a combination of factors including low birth rates, high death rates, and/or significant emigration. Simply having no deaths is not sufficient to cause a rapid decline in a nation's population.

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Answer:

Step-by-step explanation: add the equations

2x² = 30

x² = 15

y² = 12 - 15

    = -3

x4 -y4 = 15² - (-3)²

           = 216

Answer:

count all the squares that the arrow is on then you do the rest

Step-by-step explanation:

Using variable concepts, it is found that the independent variable in this experiment is the measurement in inches.

In this problem:

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If the variances of each group are found to be similar using an appropriate statistical test, then we can assume that the variance in each group is the same.

Many statistical tests, such as the two-sample t-test, require the assumption of equal variances. If the variances are not equal, the findings of the test may be erroneous, resulting in wrong conclusions. As a result, it is critical to examine the variances before running the statistical tests. There are several statistical methods available to assess variance equality, including Levene's and Bartlett's tests.

These tests assess the variability within each group to see if they are statistically different. If the test p-value is larger than the significance level, which is commonly 0.05, we fail to reject the null hypothesis and assume equal variances in each group.

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Answer:

2

Step-by-step explanation:

Substitute x as -3 into the equation

|2(-3) - 1| - 5

Then solve from there

|-6-1| - 5

|-7| - 5

7 - 5

2

Hope this helps! I apologize if I get this incorrect

Answer:

35 Degrees

Step-by-step explanation:

Angle JKL is reffering to the whole angle. The angle is split into two, it gives us the measurement for angle 1 which is 38 degrees. To find the answer we simply subtract angle m from angle JKL. 73-38 = 35... So angle 2 is 35 degrees.

The correctly ordered set of numbers from greatest to least is 2.5 > 7/14 > 32% > 0.25.

To order the set of numbers from greatest to least, we need to convert each number to the same format, such as a decimal or a fraction

0.25 and 2.5 are already decimals, so we can leave them as they are.

To convert 32% to a decimal, we can divide by 100:

32% = 0.32

7/14 can be simplified to ½, by dividing both the numerator and denominator by 7.

Now, the set of numbers is:

2.5, 0.25, 0.32, 1/2

To order them from greatest to least, we can start by comparing the decimals:

2.5 > 0.32 > 0.25

Next, we can compare the remaining fraction to the decimals by converting the fraction to a decimal:

1/2 = 0.5

Therefore, the correctly ordered set of numbers from greatest to least is 2.5, 0.32, 0.25, 0.5.

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Answer:

\(\dfrac{3}{85}\)

Step-by-step explanation:

It is given that a small town’s raffle has 85 entries and 3 gift baskets that three different people could win.

Total number of entries = 85

Total number of gift baskets = 3

We need to find the probability of winning a gift basket.

\(\text{Required probability}=\dfrac{\text{Total number of gift baskets}}{\text{Total number of entries}}\)

\(\text{required probability}=\dfrac{3}{85}\)

Therefore, the required probability is \(\dfrac{3}{85}\).

The qualitative change in the shape of a graph is related to changes in the critical points, slope, and curvature of the function.

However, in general, the qualitative change in the shape of a graph occurs when there is a change in the number, location, or type of critical points (e.g., local maximum or minimum) of the function. Additionally, the behavior of the graph may change when there are changes in the slope or curvature of the function at certain points.

A qualitative change in the shape of a graph refers to a change that alters the overall appearance of the graph. This change occurs when there are significant modifications in the function's behavior that affect the number, location, or type of critical points of the function. For example, if the function has a single critical point at x=a, and as x increases, another critical point emerges at x=b, then there is a qualitative change in the shape of the graph.

Additionally, the behavior of the graph may change when there are alterations in the slope or curvature of the function at certain points. For instance, if the function has a point of inflection at x=c, and as x increases, the curvature changes significantly, then there is a qualitative change in the shape of the graph.

In summary, the qualitative change in the shape of a graph is related to changes in the critical points, slope, and curvature of the function.

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Answer: See explanation

Step-by-step explanation:

Since there are 100 parts broth, the number to use for each ingredients will be:

Cheese = 5 × 100/10 = 5 × 10 = 50

Broccoli = 6 × 100/10 = 6 × 10 = 60

Broth = 100

Answer:

63

Step-by-step explanation:

I did the CFU.

Answer:

15 of $3 books and 4 of the $8 books

Step-by-step explanation:

15×3= 45

8 × 4= 34

45+32= 77

The equation v = 10s³ represents a relationship between velocity and time, and the graph of this equation passes through the points (2,80) and (4,640).

The equation v = 10s³ relates the velocity of an object to the time it has been accelerating at a constant rate. The points (2,80) and (4,640) on the graph of this equation indicate that at time s=2, the object's velocity was 80 m/s, and at time s=4, the velocity was 640 m/s. This suggests that the object experienced a significant acceleration during this time period. Learn more about the relationship between velocity and time in physics by exploring kinematics equations and graphs.

The equation v = 10s³ relates the velocity of an object to the time it has been accelerating at a constant rate. In other words, if we know the time s for which the object has been accelerating, we can use this equation to calculate its velocity v at that time. The graph of this equation shows how the velocity of the object changes over time, and it passes through the points (2,80) and (4,640).

These points have a significant meaning on the graph of the equation. The point (2,80) means that at time s=2, the object's velocity was 80 m/s. Similarly, the point (4,640) means that at time s=4, the object's velocity was 640 m/s. This suggests that the object experienced a significant acceleration during this time period.

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Answer:

-11/2 divided by 9/4

Answer:

-11/2 divided by 9/4

Step-by-step explanation:

This is the answer I got

Answer:

3.6.

Step-by-step explanation:

If i'm right can I get brainliest?