What is the measure of angle 1?

The tarp bought by Amiron, which has dimensions of 2 2/3' x 2 1/4', may not be big enough to cover the area under his tent, which has an area of 5 ft².

To determine if the tarp is big enough to cover the area under Amiron's tent, we need to compare the dimensions of the tarp to the area of the tent.

The area of the tarp can be calculated by multiplying its length and width. In this case, the tarp has dimensions of 2 2/3' x 2 1/4'. Converting these mixed numbers to improper fractions, we have 8/3' x 9/4'. Multiplying these fractions gives us an area of (8/3) x (9/4) = 72/12 = 6 ft².

Comparing the area of the tarp (6 ft²) to the area of the tent (5 ft²), we can see that the tarp is larger than the tent. Therefore, the tarp is big enough to cover the area under Amiron's tent.

It is important to note that it's ideal to have a tarp that is larger than the area to be covered, as it provides better coverage and protection. In this case, the tarp is larger than the tent, which should be sufficient for covering the area underneath.

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Answer:

y=3x-4

Step-by-step explanation:

graph it and you wll see

hope ths helped you

The expression for the difference of two linear functions is (f - g)(x) = 4x - 6.

A linear function is a type of function in mathematics that has the form f(x) = mx + b, where x is the independent variable, f(x) is the dependent variable, m is the slope of the line, and b is the y-intercept.

To find the expression for the difference of two linear functions, f(x) and g(x), denoted by (f - g)(x).

The expression for (f - g)(x) can be found by subtracting g(x) from f(x):

(f - g)(x) = f(x) - g(x)

Substituting the given functions f(x) = x - 2 and g(x) = -3x + 4, we get:

(f - g)(x) = f(x) - g(x)

= (x - 2) - (-3x + 4) [Substitute the given values of f(x) and g(x)]

= x - 2 + 3x - 4 [Distribute the negative sign in front of (-3x + 4)]

= 4x - 6 [Combine like terms]

Therefore, (f - g)(x) = 4x - 6.

Option D (-3x² - 2x - 8) is incorrect as it involves squaring a linear expression, which would result in a quadratic expression. Option A (which has no operation between 3 and 22) is not a valid expression. Option B (-3x - 8) and C (3x3x22 or 198) do not take into account the fact that each sundae can be made using one of 3 syrups and one of 3 candy toppings.

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sorry for the stupid answer my b

Answer:

X=-50

Step-by-step explanation:

4(x-9)-2x=3x+14

4x-36-2x=3x+14

2x-36=3x+14

-x-36=14

-x=50

-x divided by 50 makes the x postive & the 50 negative

The evaluated complex number in rectangular form is (6cos(300) - 3) + (6sin(300) + j5).

To evaluate the complex number 6 e/300 + j5 - 3 + 450 in rectangular form, we need to convert it from polar form to rectangular form.

The polar form of a complex number is given by r e^(jθ), where r is the magnitude and θ is the angle in radians. In this case, we have:

r = 6
θ = 300 degrees = (5π/6) radians

Using Euler's formula e^(jθ) = cos(θ) + j sin(θ), we can write:

6 e^(j300) = 6 (cos(5π/6) + j sin(5π/6))

= 6 (-1/2 + j √3/2)

= -3 + j3√3

Now we can add this to the real number -3 + 450, to get:

-3 + j3√3 + (-3 + 450)

= 444 + j3√3

Therefore, the rectangular form of the complex number 6 e/300 + j5 - 3 + 450 is 444 + j3√3.

To evaluate the complex number in rectangular form, given the expression 6e^(300) + j5 - 3 + 450, follow these steps:

1. Convert the exponential form (6e^(300)) to rectangular form.
2. Combine the real parts and imaginary parts.

Step 1: Converting exponential form to rectangular form:
6e^(300) = 6(cos(300) + jsin(300))

Step 2: Combining real and imaginary parts:
Real part: 6cos(300) - 3
Imaginary part: 6sin(300) + j5

So, the evaluated complex number in rectangular form is (6cos(300) - 3) + (6sin(300) + j5).

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To find the value of the expression (jk^-2/j^-1k^-3)^3 when j = -2 and k = -1, we substitute the given values into the expression and simplify.Answer : 8.

Substituting j = -2 and k = -1:

((-2(-1)^-2)/(-2)^-1(-1)^-3)^3

Now let's simplify the expression :

((-2(-1)^-2) means -2 multiplied by (-1)^-2. The negative exponent in (-1)^-2 indicates taking the reciprocal, so (-1)^-2 is equal to 1/(-1)^2 = 1/1 = 1.

((-2(-1)^-2)/(-2)^-1(-1)^-3)^3

= ((-2 * 1) / (-2)^-1(-1)^-3)^3

= ((-2) / ((1/(-2)) * (1/(-1)^3)))^3

= ((-2) / ((1/(-2)) * (1/(-1 * -1 * -1))))^3

= ((-2) / ((1/(-2)) * (1/(-1))))^3

= ((-2) / ((1/(-2)) * (-1)))^3

= ((-2) / (1 * (-1)))^3

= ((-2) / -1)^3

= 2^3

= 8

Therefore, the value of the expression when j = -2 and k = -1 is 8.

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The closest answer is 80 cupcakes per minute, so the correct option is .8. The closest answer is 165 minutes, so the correct option is 165.

The throughput capacity of the icing stage can be calculated by dividing the number of cupcakes in a batch (100) by the time required to process each cupcake (1.25 minutes).

Throughput capacity = Number of cupcakes in a batch / Time to process each cupcake

Throughput capacity = 100 cupcakes / 1.25 minutes

Throughput capacity = 80 cupcakes per minute

The closest answer is 80 cupcakes per minute, so the correct option is .8.

The throughput time for a batch of cupcakes is the time required to process the entire batch, including the setup time.

Throughput time = Time for setup + (Number of cupcakes in a batch * Time to process each cupcake)

Throughput time = 40 minutes + (100 cupcakes * 1.25 minutes per cupcake)

Throughput time = 40 minutes + 125 minutes

Throughput time = 165 minutes

The closest answer is 165 minutes, so the correct option is 165.

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The value of the expression as given in the task content is; 43.

The value of the expression given in the task content can be determined by means of the PEMDAS rule as follows;

2 +(6+1)² -8

= 2 +7² -8

= 2 + 49 -8

= 43.

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Answer:

 1728000

Step-by-step explanation:

You always work from the parenthesis first because of order of operation. You have 12( because 2 times 6) then mulitply 12 times 10. You get 120 then you multiply it but itself 3 times. 120 x 120 x 120= 1728000

Answer:

Step-by-step explanation

(2×6)×10^3

(12)10^3

(12)1000

=12,000

Answer:

4(x-3)(x+6)

Step-by-step explanation:

yes, because the midpoints (a+c) = b

Given that the line's equation is y=x.

B and C are the two points on this line.

( a+ c, b) is the midpoint of B and C.

We can see from this that using the midpoint formula

a + c = \(\frac{x1+x2}{2}\)

b=\(\frac{y1+y2}{2}\)

Because both points are on y=x, we get

x1=y1, x2=y2.

As a result, x1 = a+c and 2y1 = 2b or y1 =b.

Because x1=y1, we have a+c =b.

In other words, the coordinates of the midpoint satisfy the equation y=x.

Thus, the answer is

because (a+c) = b

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Answer:

The volume of the cone is 25.13, the other one is 167.55

Step-by-step explanation:

v = 1/3pi(2)^2(6)

simplify and divide the above.

v = 25.13

1/3pi(4)^2(10)

= 167.55

(-7, 0)

i promise im right

Answer:

11) 1 3/8

12) 17/18

Step-by-step explanation:

Answer:

44ft^2

Step-by-step explanation:

Break the shape into 3 rectangles, two 3 by 2's and one 4 by 8. (Get 4 by subtracting 3 from 7 for the left and right most side)

3 x 2 = 6 ft^2

since there's two rectangles you end up 6 + 6 so you get 12 ft^2

then 4 x 8 = 32 ft^2

add 32 and 12, get 44 ft^2

Answer:

3c^2+2c+3

Step-by-step explanation:

\(\left(9c^2+9c+3\right)-\left(6c^2+7c\right)\\\\\mathrm{Remove\:parentheses}:\quad \left(a\right)=a\\=9c^2+9c+3-\left(6c^2+7c\right)\\\\-\left(6c^2+7c\right):\quad -6c^2-7c\\=9c^2+9c+3-6c^2-7c\\\\\mathrm{Simplify}\:9c^2+9c+3-6c^2-7c:\\\quad 3c^2+2c+3\)

Answer:

Step-by-step explanation:

9c^2 + 9c + 3 - 6c^2 - 7c

3c^2 + 2c + 3

The 2 graphs are of parabolas .

A parabola refers to an equation of a curve, such that a point on the curve is equidistant from a fixed point, and a fixed line. The fixed point is called the focus of the parabola, and the fixed line is called the directrix of the parabola. Also, an important point to note is that the fixed point does not lie on the fixed line. A locus of any point which is equidistant from a given point (focus) and a given line (directrix) is called a parabola. Parabola is an important curve of the conic sections of the coordinate geometry.

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The probability of drawing 2 aces and 3 kings from a standard 52-card deck is 0.000002. To find the probability of drawing 2 aces and 3 kings, we need to first find the number of ways to choose 2 aces and 3 kings from the deck.

The total number of ways to choose 5 cards from a deck of 52 cards is given by the combination formula:

To find the probability of drawing 2 aces and 3 kings, we need to first find the number of ways to choose 2 aces and 3 kings from the deck. There are 4 aces and 4 kings in the deck, so the number of ways to choose 2 aces from 4 aces and 3 kings from 4 kings is given by:

Next, we need to find the number of ways to choose the remaining cards from the deck. There are 44 cards that are not aces or kings, so the number of ways to choose 5 cards from these 44 cards is given by:

Therefore, the total number of ways to draw 2 aces and 3 kings and 5 cards from the deck is:

Finally, the probability of drawing 2 aces and 3 kings from a standard 52-card deck is:

Therefore, the probability of drawing 2 aces and 3 kings from a standard 52-card deck is 0.000002.

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Answer:

b= 8m+r /m

Step-by-step explanation:

When diameter is 60 mm, the volume increases at a rate of 22,620 mm³/s.

Step 1: Create an equation that connects a sphere's volume to radius as the first step.

V = 4/3*π*r³

Step 2: Calculate each side's derivative in respect to time (Let the time be "t").

(d/dt)V = (d/dt)(4/3*π*r³)

dV/dt = 4πr²*dr/dt

Step 3: The problem description informs us that the diameter is 600 m, hence r must be 30 mm.

Additionally, it is stated that now the radius of a sphere is expanding at a rate of 2 mm/s; as a result, dr/dt must equal 2 mm/s.

We are interested in dV/dt, or the rate of change of the sphere's volume.

dV/dt = 4π(30mm)²*(2mm/s)

dV/dt = 22,620 mm³/s

So, when diameter is 60 mm, the volume increases at a rate of 22,620 mm³/s.

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We have the following:

The standard window:

The small window:

The large window:

Therefore:

The standard window is 8 square feet

The small window is 2 square feet

The large window is 128 square feet

The lines y= -3x-2 and y= -3x+5 will never intercept

From the question, we have the following parameters that can be used in our computation:

The equations represented as

y= -3x-2 and y= -3x+5

The above equations are linear equations

Linear equations are represented as

y = mx  + c

Where

slope= m

This means that

The slopes are -3 and -3 (equal slopes)

Lines with equal slopes will never intrecept

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Without spectacles, Witney Pete has a 5/10 chance of hitting the bullseye. Witney Pete could strike the bullseye with his spectacles 0.7 of the time. This likelihood is far higher than hitting the bullseye without glasses. the probability that Pete hits five or fewer of his next ten shots is approximately 2.487.

Generally, To find the probability that Pete hits five or fewer of his next ten shots, we need to find the probability that he hits exactly 0, 1, 2, 3, 4, or 5 bull's eyes.

The probability that Pete hits exactly k bull's eyes in n throws is given by the binomial distribution:

P(k bull's eyes in n throws) = (n choose k) * p^k * (1-p)^(n-k)

where p is the probability of hitting a bull's eye on a single throw and n choose k is the binomial coefficient, which is equal to n!/(k!(n-k)!).

Substituting the given values, we get:

P(0 bull's eyes in 10 throws) = (10 choose 0) * (0.7)^0 * (0.3)^10 = 0.028 P(1 bull's eyes in 10 throws) = (10 choose 1) * (0.7)^1 * (0.3)^9 = 0.189 P(2 bull's eyes in 10 throws) = (10 choose 2) * (0.7)^2 * (0.3)^8 = 0.462 P(3 bull's eyes in 10 throws) = (10 choose 3) * (0.7)^3 * (0.3)^7 = 0.605 P(4 bull's eyes in 10 throws) = (10 choose 4) * (0.7)^4 * (0.3)^6 = 0.501 P(5 bull's eyes in 10 throws) = (10 choose 5) * (0.7)^5 * (0.3)^5 = 0.302

The probability that Pete hits five or fewer bull's eyes in his next ten shots is the sum of the probabilities of hitting exactly 0, 1, 2, 3, 4, or 5 bull's eyes:

P(hitting 5 or fewer bull's eyes in 10 shots) = 0.028 + 0.189 + 0.462 + 0.605 + 0.501 + 0.302 = 2.487

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The given function is:

Split 25 into two using factors of 144 (-16 and -9):

Factorize each pair of expressions:

Factorize further using the difference of two squares:

Hence, the factored form of the function is:

Answer:

She will pay her mom back and have 20 dollars over if she works one hour.

Step-by-step explanation:

The values of r are : r = [-1 ± √3]/4 and the function y = e^{rx} satisfies the given differential equation for these values.

Given differential equation is : 2y" + y' - y = 0

We need to find for what values of r, the function y = e^{rx} satisfies the given differential equation.

Given differential equation is : 2y" + y' - y = 0

Let y = e^{rx} , theny' = re^{rx} and y" = r²e^{rx}

Put these values in the given differential equation2y" + y' - y = 02(r²e^{rx}) + r(e^{rx}) - e^{rx} = 0

Divide throughout by e^{rx} to get the characteristic equation2r² + r - 1 = 0

Solving the above quadratic equation using the quadratic formula, we get the roots as

r = [-1 ± √3]/4

If r = [-1 + √3]/4, then

y = e^{rx} = e^{[-1 + √3]x/4} satisfies the given differential equation.

If r = [-1 - √3]/4, then

y = e^{rx} = e^{[-1 - √3]x/4} satisfies the given differential equation.

Hence, the values of r are : r = [-1 ± √3]/4 and the function y = e^{rx} satisfies the given differential equation for these values.

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The perceived probability of being convicted if arrested is an important factor in understanding and addressing crime from an economic perspective.

From an economic perspective, individuals make rational decisions based on costs and benefits. When it comes to criminal behavior, the perceived probability of being convicted if arrested plays a crucial role. If individuals believe that the chances of facing punishment are low, they may be more inclined to engage in criminal activities.

This perception of the probability of conviction is influenced by various factors, including the effectiveness of law enforcement, the efficiency of the judicial system, and the severity of punishments. To reduce the incidence of crime, it is important to address these factors. Implementing effective law enforcement strategies, improving the efficiency of the judicial system, and ensuring appropriate and proportional punishments can help increase the perceived probability of conviction. This, in turn, can act as a deterrent to potential criminals and contribute to reducing crime rates.

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Answer:

Step-by-step explanation:

Compare the equation to the standard form for the equation of a circle:

  (x -h)² +(y -k)² = r² . . . . center (h, k), radius r

  x² + y² = 9

We can see that h = k = 0, and r = √9 = 3.

The center is (0, 0), and the radius is 3.

Answer:

d(x) = \(x^{2}\) + 469x + 327  

Step-by-step explanation:

m(x)=408x+327         First job

a(x)=\(x^{2}\)+61x              Second job

To create a function to describe the income from both jobs, we would add the functions together.

d(x) =\(x^{2}\)  + 61x + 408x + 327   Add like terms

d(x) = \(x^{2}\) + 469x + 327        

A congruent polygon refers to two or more polygons that have the same shape and size. There must be an equal number of sides between two polygons for them to be congruent.

Congruent polygons have parallel sides of equal length and parallel angles of similar magnitude. When two polygons are congruent, they can be superimposed on one another using translations, rotations, and reflections without affecting their appearance or dimensions. Concluding about the matching sides, shapes, angles, and other geometric properties of congruent polygons allows us to draw conclusions about them.

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