Pls help I don’t understand this question very well

*see attachement below for the diagram

Answer:

(252π + 20) cm²

Step-by-step explanation:

The surface area of the resulting solid = curved surface area of the cylinder + area of 1 base of the cylinder + 2(slant height of the cone)

✔️Curved surface area of cylinder = 2πrh

r = ½(12) = 6 cm

h = 18 cm

C.S.A = 2*π*6*18 = 216π cm²

✔️Area of 1 base = πr²

r = ½(12) = 6 cm

Area = π*6²

Area = 36π

✔️Slant height of the cone = 10 cm

✅The surface area of the resulting solid = 216π + 36π + 2(10)

= (252π + 20) cm²

1. Since triangle ABC and DEF are congruent, the value of x is -3

2. length AB = 24

length DE = 24

If the three angles and the three sides of a triangle are equal to the corresponding angles and the corresponding sides of another triangle, then both the triangles are said to be congruent.

Since triangle ABC is congruent to triangle DEF , then we can say that line AB is equal to line DE

therefore;

12- 4x = 15-3x

collect like terms

12 -15 = -3x +4x

x = -3

therefore the value of x is -3 and

AB = 12 - 4x

AB = 12 -4( -3)

AB = 12 +12 = 24

DE = 15-3x

= 15-3(-3)

= 15 + 9

= 24

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The statement that is FALSE is Reducing the variation of a process will increase the width of a given Confidence Interval relative to that process.

As the confidence level increases the width of the confidence interval also increases. A larger confidence level increases the chance that the correct value will be found in the confidence interval, so option A is true

When estimating the standard deviation in calculating confidence intervals, make sure you use the t tables, we need the t table to estimate SD, so option B is true

A larger sample size or lower variability will result in a tighter confidence interval with a smaller margin of error. A smaller sample size or a higher variability will result in a wider confidence interval with a larger margin of error.

So option c is false, the crrect option is C

Therefore, The statement that is FALSE is Reducing the variation of a process will increase the width of a given Confidence Interval relative to that process.

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Answer:

500 - 6r = t

Step-by-step explanation:

500 represents the amount of copper wire Lisa started with.

-6r represents how much copper wire (in yards) is used on the robot (9*2 / 3 = 6).

t represents the total wire left after Lisa builds r robots.

Answer:

y = -4

Step-by-step explanation:

first add 7y to both sides

9 = 10y + 49

second subtract 49 from both sides

-40 = 10y

flip it

10y = -40

now divide both sides by 10

y = -4

that is your answer

Answer: 7y+9=3y+49

We move all terms to the left:

-7y+9-(3y+49)=0

We get rid of parentheses

-7y-3y-49+9=0

We add all the numbers together, and all the variables

-10y-40=0

We move all terms containing y to the left, all other terms to the right

-10y=40

y=40/-10

y=-4

Answer:

Step-by-step explanation:

Kindly find a simple sketch of a baseball pitch, the circle with a dot inside represents the first base coach(don't mind my drawing please I will improve).      

So, from the diagram, we can see that the expression that describes the distance and the first base coach is

y=90+3

y=93

so the distance  between Roberto Clemente and the first base coach is 93ft                                  

The 4 tests for similar triangles are:-

AAA: Three pairs of equal angles.

SSS: Three pairs of sides in the same ratio.

SAS: Two pairs of sides in the same ratio and an equal included angle.

ASA: Two angles and the side included between the angles of one triangle are equal

What is AAA,SAS,ASA,SSS?

According to the SSS rule, two triangles are said to be congruent if all three sides of one triangle are equal to the corresponding three sides of the second triangle. 

According to the SAS rule, two triangles are said to be congruent if any two sides and any angle between the sides of one triangle are equal to the corresponding two sides and angle between the sides of the second triangle.

According to the ASA rule, two triangles are said to be congruent if any two angles and the side included between the angles of one triangle are equal to the corresponding two angles and side included between the angles of the second triangle.

According to the  AAA rule, "if in two triangles, corresponding angles are equal, then their corresponding sides are in the same ratio (or proportion), and hence the two triangles are identical."

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Answer:

2x3x5=120

Step-by-step explanation:

Answer:

30 is the missing number.

Step-by-step explanation:

The equation is,

→ 2³ × x × 5 = 120

Then the value of x will be,

→ 2³ × x × 5 = 120

→ 8 × x × 5 = 120

→ x × 40 = 120

→ x = 120/40

→ [ x = 30 ]

Hence, the value of x is 30.

Answer:

C)

Step-by-step explanation:

Prime factorization of 420 = 2 × 2 × 3 × 5 × 7 = 22 × 3 × 5 × 7.

If you take...

2 + 2 + 3 + 5 + 7...

You would get 17.

Hope this helps! :) Good Luck!

-kiniwih426

cos θ = -3/8So, the main answer is cos θ = -3/8.

Given information:Sin θ = √55/8 and 0 is in quadrant II

We know that:cos² θ + sin² θ = 1

Substitute the given value,cos² θ + (√55/8)² = 1cos² θ + 55/64 = 1cos² θ = 1 - 55/64cos² θ = 9/64

Taking square root on both sides,cos θ = ±√(9/64)cos θ = ±3/8

We know that 0 is in quadrant II so cos will be negative

Therefore,cos θ = -3/8So, the main answer is cos θ = -3/8.

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Answer:

+5×>×+4 =

collect like terms

5x-x>4

4x>4

therefore

x>1

Answer: i think the answer 12

Step-by-step explanation:

Answer:

Hello! answer: 20

Step-by-step explanation:

I don't know why they say z = something there is no z so we dont need that but we do need to know what y and x is so... y = 5 and x = 10

so the 10 + 2 × y = answer

10 + 10 = 20 so 20 is the answer! Hope that helps!

the given proportional relationship y=0.5x with proportional constant is 1/2.

what is proportional relationship?

When two variables are correlated in a manner that their ratios are equal, this is known as a proportional relationship. In a proportional connection, one variable is always a constant value multiplied by the other, which is another way to think of them. The "constant of proportionality" is the term used to describe that constant.

Given x and y will have a proportional relationship if the ratio of x to y will be equal for all given values.

For every 1 scoop of ice cream, cup of milk is needed 1/2, and for every 5 scoops of ice cream, 2 cups of milk 2 1/2 are needed.

So the equation will be y = kx

or y = 0.5(x)

Here proportional constant is 1/2 or 0.5.

For 18 scoops of icecream, milk will be needed is 18/2 = 9 cups of milk.

Hence, we can say that the given proportional relationship y=0.5x with a proportional constant is 1/2.

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Answer:

\(f(x) = 2000 * 1.05^x\)

Step-by-step explanation:

The key to this question is interpreting the graph and then modelling it into an exponential function.

You are given 2 key characteristics of this graph. 1 characteristic being that it intercepts the y-axis at (0,2000), and another characteristic being that it goes through the point (1,2100)

Now refer to the standard form of an exponential function.

\(y = a * b^x\)

Since you know that when x = 0, y = 2000, a must be 2000. Because \(b^0 = 1\), 2000 * 1 = 2000

So you got your a value. Sub it into the equation and now you got.

\(y = 2000 * b^x\)

You still need to solve for b, so this is where you do some algebra. Pick your key point, (1,2100), sub in those values for x and y, and solve for b.

\(2100 = 2000 * b^1\\\frac{2100}{2000} = b\\ 1.05 = b\)

Now you have your a and b values. Now you can express using a function:

\(f(x) = 2000 * 1.05^x\)

The soccer ball reaches a maximum height of approximately 34.8 feet.

The parametric equations for the motion of the soccer ball are:

x(t) = 39*cos(44°)t ≈ 26.9t

y(t) = \(39\sin(44)*t - 16t^2\) ≈ \(22.7t - 16t^2\)

where t is the time elapsed since the ball was kicked.

To find the maximum height of the ball, we need to find the vertex of the parabolic trajectory given by y(t).

The maximum height occurs at the vertex, which is at the time t = -b/2a, where a = -16 and b = 39*sin(44°).

So, t = -b/2a ≈ 1.1 seconds.

Substituting this value of t into the equation for y(t), we get the maximum height:

y(max) = \(39*\sin(44)1.1 - 16(1.1)^2 = 34.8 feet.\)

Therefore, the soccer ball reaches a maximum height of approximately 34.8 feet.

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The area of the part of the plane 3x 2y z = 6 that lies in the first octant  is  mathematically given as

A=3 √(4) units ^2

Generally, the equation for is  mathematically given as

The Figure is the x-y plane triangle formed by the shading. The formula for the surface area of a z=f(x, y) surface is as follows:

\(A=\iint_{R_{x y}} \sqrt{f_{x}^{2}+f_{y}^{2}+1} d x d y(1)\)

The partial derivatives of a function are f x and f y.

\(\begin{aligned}&Z=f(x)=6-3 x-2 y \\&=\frac{\partial f(x)}{\partial x}=-3 \\&=\frac{\partial f(y)}{\partial y}=-2\end{aligned}\)

When these numbers are plugged into equation (1) and the integrals are given bounds, we get:

\(&=\int_{0}^{2} \int_{0}^{3-\frac{3}{2} x} \sqrt{(-3)^{2}+(-2)^2+1dxdy} \\\\&=\int_{0}^{2} \int_{0}^{3-\frac{3}{2} x} \sqrt{14} d x d y \\\\&=\sqrt{14} \int_{0}^{2}[y]_{0}^{3-\frac{3}{2} x} d x d y \\\\&=\sqrt{14} \int_{0}^{2}\left[3-\frac{3}{2} x\right] d x \\\\\)

\(&=\sqrt{14}\left[3 x-\frac{3}{2} \cdot \frac{1}{2} \cdot x^{2}\right]_{0}^{2} \\\\&=\sqrt{14}\left[3-\frac{3}{2} \cdot \frac{1}{2} \cdot x^{2}\right]_{0}^{2} \\\\&=\sqrt{14}\left[3.2-\frac{3}{2} \cdot \frac{1}{2} \cdot 3^{2}\right] \\\\&=3 \sqrt{14} \text { units }{ }^{2}\)

In conclusion,  the area is

A=3 √4 units ^2

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Therefore, the distance the plane flew is approximately 245.98 miles, and the direction is approximately 12.69° North of East.

Given:

v = -3i + 2j

w = -3i + j

To find the quantities, we'll use the following formulas:

Dot product:

v ⋅ w = v_x * w_x + v_y * w_y

Projection of v onto w:

proj_w(v) = (v ⋅ w / ||w||²) * w

Magnitude of a vector:

||v|| = √\((v_x^2 + v_y^2)\)

Angle between two vectors:

θ = cos⁻¹((v ⋅ w) / (||v|| * ||w||))

Let's calculate each quantity:

Dot product:

v ⋅ w = (-3 * -3) + (2 * 1)

= 9 + 2

= 11

Projection of v onto w:

proj_w(v) = (v ⋅ w / ||w||²) * w

||w||² = \((-3)^2 + 1^2\)

= 9 + 1

= 10

proj_w(v) = (11 / 10) * (-3i + j)

= -33/10 i + 11/10 j

Magnitude of v:

||v|| = √\(((-3)^2 + 2^2)\)

= √(9 + 4)

= √13

Angle θ between v and w:

θ = cos⁻¹((v ⋅ w) / (||v|| * ||w||))

θ = cos⁻¹(11 / (√13 * √10))

θ ≈ cos⁻¹(0.882)

≈ 29.68° (rounded to the nearest hundredth)

Now, let's calculate q, the vector q = v - proj_w(v):

q = -3i + 2j - (-33/10 i + 11/10 j)

q = -3i + 2j + 33/10 i - 11/10 j

q = (-30/10)i + (20/10 - 11/10)j

q = -3i + 9/10 j

Lastly, let's calculate the distance the plane flew and the direction:

Distance = √\((240^2 + 54^2)\)

= √(57600 + 2916)

= √(60516)

≈ 245.98 miles

Direction = tan⁻¹(54 / 240)

≈ 12.69° North of East

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The given function is (1 + e^9t)^2e^6t.To find the Laplace transform of the function, we will utilize the property of Laplace transform: f(at) --> F(s/a)/aWe know that Laplace transform of e^at is 1/(s-a) Hence, Laplace transform of e^9t is 1/(s-9).

Also, Laplace transform of e^6t is 1/(s-6)Multiplying both together, Laplace transform of e^(9+6)t is 1/(s-15)We know that Laplace transform of 1 is 1/s and using this, Laplace transform of (1+e^9t) is 1/(s-9) + 1/s Adding both Laplace transforms and squaring them, Laplace transform of (1+e^9t)^2 is {(1/(s-9)) + (1/s)}^2After this step, it is just simplification. Here's the full working out, The Laplace transform of the function (1 + e^9t)^2e^6t is {(1/(s-9)) + (1/s)}^2 x 1/(s-6).

Given function is (1 + e^9t)^2e^6t.Laplace transform of e^at is 1/(s-a). Therefore, Laplace transform of e^9t is 1/(s-9).Similarly, Laplace transform of e^6t is 1/(s-6).Multiplying both Laplace transforms, we get Laplace transform of e^(9+6)t is 1/(s-15).We know that Laplace transform of 1 is 1/s. Hence, Laplace transform of (1+e^9t) is 1/(s-9) + 1/s. Adding both Laplace transforms, we get Laplace transform of (1+e^9t)^2 is {(1/(s-9)) + (1/s)}^2.Finally, Laplace transform of the given function (1+e^9t)^2e^6t is obtained by multiplying Laplace transform of (1+e^9t)^2 with Laplace transform of e^6t.Therefore, the Laplace transform of the function (1 + e^9t)^2e^6t is given as:{(1/(s-9)) + (1/s)}^2 x 1/(s-6).

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1. The given statement "A negative attitude, misperception, and partial hearing loss are all examples of noise in the basic communication process" is True

2. The given statement "Employee motivation and pay satisfaction are major components in Frederick Herzberg's two-factor theory" is True

1) Negative attitude, misperception, and partial hearing loss are all examples of noise in the basic communication process.

Noise refers to any external or internal element that disrupts communication. Communication is the exchange of messages between two or more people, so noise in communication refers to anything that interferes with the exchange of messages.

2)Employee motivation and pay satisfaction are major components in Frederick Herzberg's two-factor theory.

Herzberg's two-factor theory, also known as the motivation-hygiene theory, identifies the two types of factors that affect job satisfaction:

hygiene factors and motivating factors.

Employee motivation and pay satisfaction are examples of motivating factors that contribute to job satisfaction.

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The area of the circle is 36π m² and 9π m².

A circle is the locus of a point such that all set of points are equidistant from a fixed point known as the center.

The area (A) of a circle with a radius r is given by:

A = πr²

For the first circle, the radius is 6m:

A = π(6)² = 36π m²

The second circle has a diameter of 6m, hence the radius is 3m, hence:

A = π(3)² = 9π m²

From the table, the area of the circle is 36π m² and 9π m².

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Step-by-step explanation:

i got it right on Imagine Math.. :)

Answer:

x > -8

Step-by-step explanation:

i hope this helps :)

He spent $200 on 0 tickets for children, 10 tickets for adults, and 20 tickets for seniors.

The definition of an equation in algebra is a mathematical statement that demonstrates the equality of two mathematical expressions. For instance, the equation 3x + 5 = 14 consists of the two equations 3x + 5 and 14, which are separated by the 'equal' sign.

Here,

Total number of tickets brought=30

Total amount paid=$200

Cost of kid ticket=$3.5

Cost of adult ticket=$8

Cost of senior ticket=$6

Let x, y, z be the number of tickets brought for kid, adult, senior.

x+y+z=30

3.5x+8y+6z=200

2y=x+z

x+y+z=30

3y=30

y=10

x+z=20

z=20-x

3.5x+80+6(20-x)=200

3.5x+80+120-6x=200

2.5x=0

x=0

z=20

He bought 0 tickets for kid, 10 tickets for adult and 20 tickets for senior with an amount of $200.

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Answer:

 44 ft

Step-by-step explanation:

You want to know the height of a tree whose top is at angles of elevation of 42° and 50° from points 12 feet apart.

The tangent of an angle is related to the side lengths of a right triangle by ...

  Tan = Opposite/Adjacent

This tells us the length of the side adjacent to the angle of elevation is ...

  Adjacent = Opposite/Tan

Here, the height of the tree is the side of the triangle opposite the angle of elevation, and the difference of adjacent sides is 12 ft:

  12 = h/tan(42°) -h/tan(50°)

  h = 12/(1/tan(42°) -1/tan(50°)) ≈ 12/(1.11061 -0.83910) ≈ 44.197

The approximate height of the tree is 44 feet.

Billy's health score go down  by 75% if his sugar resources are quadrupled

Let the amount of sugar in Billy's kitchen be denoted by S and the number of cookies he can bake be denoted by C. Let his health score be denoted by H. Then we have the following relationships:

C ∝ S (directly proportional)

C ∝ 1/H (inversely proportional)

Combining these two relationships, we get:

C ∝ S/H

If S is quadrupled, then C will also quadruple according to the first relationship. However, H will decrease by some percentage x according to the second relationship. To find x, we can use the fact that C is proportional to S/H:

C = k*S/H

where k is a constant of proportionality. If S is quadrupled, then C will also quadruple, so we have:

4C = k4S/H

C = kS/(H/4)

This tells us that if S is quadrupled, then C will be divided by H/4. In other words, C/H will be divided by 4. So, the percentage decrease in H can be found as follows:

C/H → (C/H)/4 = (S/H)/(4/k) → x = 100%*(1 - 1/4) = 75%

Therefore, if Billy's sugar resources are quadrupled, his health score will go down by 75%.

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The area in square meters will the oil slick cover is 9.5×10⁶ m².

15 barrels of diesel spilt into the ocean, where each barrel contains 42 gallons. Thereby the total volume of the oil spilt by 15 barrels is calculated as follows:

The total volume of the oil spilt by 15 barrels = 15× 42 gallons.

=630 gallons

1 gallon = 3.78541 liters

Volume in L = 630 gallons × 3.78541 liters/ 1 gallon

= 2384.8083 L

1 L = 10⁻³ m³

2384.8083  L = 2384.8083 × 10⁻³ m³

= 2.3848083 m³

The area covered by the oil spill has to be determined, where the thickness of the oil spill is given to be 2.5×10² nm.

1 nm = 10⁻⁹ m

Thereby, 2.5×10² nm = 2.5×10²×10⁻⁹ m

= 2.5×10⁻⁷ m

Area (m²) = volume (m³)/thickness (m)

= 2.3848083 m³/ 2.5×10⁻⁷ m

= 0.95392×10⁷ m²

= 9.5×10⁶ m²

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The mean of the data is 41.7, the median is 41.9 and the mode of the data is 42.9.

Here,

We have,

In mathematics, the three main methods for indicating the average value of a set of integers are mean, median, and mode. Adding the numbers together and dividing the result by the total number of numbers in the list yields the arithmetic mean. An average is most frequently used to refer to this. The middle value in a list that is arranged from smallest to greatest is called the median. The value that appears the most frequently on the list is the mode.

The mean is given as:

mean = summation of the frequency / total frequency

mean = 3708/89 = 41.66

The median of the given data is the central value.

In the given data median is the mean of the ages between 56 and 57.

Median = 45 + (89/2) - 59 / 23  * (5)

Median = 41.9

The mode is given for the data having the highest frquency.

The highest frequency is observed at 40-----44:

Mode = 40 + (28 - 21) / (56 - 21 - 23) (5)

Mode = 42.9

Hence, the mean of the data is 41.7, the median is 41.9 and the mode of the data is 42.9.

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Answer:

The answer is 12 millimeters

Step-by-step explanation:

Trust me:)

Answer:

B

Step-by-step explanation:

y = 3x + 4

plug in (-2, -2)

-2 = -6 +4

-2 = -2

y = 6x + 10

plug in (-2, -2)

-2 = -12 + 10

-2 = -2

Answer:

B

Step-by-step explanation:

Given the 2 equations

y = 3x + 4 → (1)

y = 6x + 10 → (2)

Substitute y = 6x + 10 into (1)

6x + 10 = 3x + 4 ( subtract 3x from both sides )

3x + 10 = 4 ( subtract 10 from both sides )

3x = - 6 ( divide both sides by 3 )

x = - 2

substitute x = - 2 into either of the 2 equations and evaluate for y

Substituting into (1)

y = 3(- 2) + 4 = - 6 + 4 = - 2

solution is (- 2, - 2 ) → B