find the measure of angle A

Answer:

y = 14.4x - 18.4

Step-by-step explanation:

This is the equation for the regression line, I hope this helps!

Answer:

  B.  A point

Step-by-step explanation:

You want a description of the intersection between a plane and a cone given that the plane is parallel to the base and passes through the vertex of the cone.

The vertex of a cone is a single point. If a plane passes through that, but does not intersect the base of the cone, it will not intersect anywhere else.

The intersection is one point.

__

Additional comment

Figure f in the attachment illustrates this case.

Answer:three-fourths

Step-by-step explanation:

because my dad said it was right

The distance between the points (-1, 5) and (-7, -3) is 10 units.

The distance formula used in finding the distance between two points is expressed as;

D = √( ( x₂ - x₁ )² + ( y₂ - y₁ )² )

Point 1 (-1,5)

Point 2 (-7,-3)​

Plug the given values into the distance formula and simplify.

D = √( ( x₂ - x₁ )² + ( y₂ - y₁ )² )

D = √[(-7 - (-1))² + (-3 - 5)²]

D = √[(-7 + 1)² + (-3 - 5)²]

D = √[-6² + (-8)²]

D = √[36 + 64]

D = √100

D = 10

Therefore, the distance is 10 units.

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Answer:

Step-by-step explanation:

2.54 cm are equivalent to 1 inch;

70cm will be equivalent to?

=27.559 inches

12 inches is equivalent to 1 foot  

27.559 is equivalent to?

= 2.29

=2.30 feet

The equation of the line with yellow point in slope intercept form is y = 7 / 6 x + 2.

The equation of a straight line can be represented in different form such as slope intercept form, point slope form, etc.

Therefore, let's represent the line with yellow point in slope intercept form.

Hence,

y = mx + b

where

Therefore, using (0, 2) and (6, 9).

m = 9 - 2 / 6 - 0

m = 7 / 6

Hence, let's find the y-intercept

y = 7 / 6 x + b

2 = 7 / 6(0) + b

b = 2

Therefore,

y = 7 / 6 x + 2.

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On solving the providewd question we can say that, public static double solve(double a, double b, double c, boolean flag )

A quadratic equation is a quadratic polynomial in one variable that looks like this: x = ax2 + bx + c. a 0. This polynomial has at least one solution since it is a second-order polynomial, according to the Fundamental Theorem of Algebra. The answer can actually work or be difficult.

public static double solve(double a, double b, double c, boolean flag)

{     double d = Math.sqrt(b*b - 4*a*c);     if(flag)

{         return (-b + d) / (2*a);     }

else {         return (-b - d) / (2*a);     } }

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Answer:

y intercept when x is 0, so the answer is 3

To find the experimental probability of rolling a number greater than 10, we need to determine the frequency of rolling a number greater than 10 and divide it by the total number of rolls.

Looking at the table, we can see that the frequency for rolling a number greater than 10 is the sum of the frequencies for rolling 11 and 12.

Frequency for rolling a number greater than 10 = Frequency of 11 + Frequency of 12

Frequency for rolling a number greater than 10 = 15 + 17 = 32

The total number of rolls is given as 200.

Experimental Probability of rolling a number greater than 10 = Frequency for rolling a number greater than 10 / Total number of rolls

Experimental Probability of rolling a number greater than 10 = 32 / 200

Experimental Probability of rolling a number greater than 10 = 0.16 or 16%

Therefore, the experimental probability of rolling a number greater than 10 is 16%.

Hopes this helps you out :)

Answer:

Step-by-step explanation:

Solve the following expression.

Answer:

1470

Step-by-step explanation:

Multiply

Answer:

answer D

Step-by-step explanation:

hello,

\((5x^2-6x+2)(4x^2-3x)=4x^2(5x^2-6x+2)-3x(5x^2-6x+2)\\20x^4-24x^3+8x^2-15x^3+18x^2-6x\\=20x^4-39x^3+26x^2-6x\)

hope this helps

Answer:

20x^4 - 39x^3 + 26x^2 - 6x

Step-by-step explanation:

Multiply every term of the first polynomial by every term of the second polynomial. then collect like terms.

(5x^2 - 6x +2) * (4x^2 - 3x) =

= 20x^4 - 15x^3 - 24x^3 + 18x^2 + 8x^2 - 6x

= 20x^4 - 39x^3 + 26x^2 - 6x

It takes Brian 1.5 hours to get home from school

Speed is the ratio of distance travelled to time taken. It is given by:

Speed = distance / time

Let d represent the distance from their school to the house and t represent the time (hours) it takes Brian to teach home.

For Brian:

4 = d/t

d = 4t

For Scott:

6 = d / (t - 1/2)

d = 6t - 3

4t = 6t - 3

2t = 3

t = 1.5 hours

Therefore it takes Brian 1.5 hours to get home from school

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The solution to the inequality 1 + 3r > 10 is r > 3.

This means that any value of r greater than 3 will satisfy the inequality.

To solve the inequality 1 + 3r > 10, we need to isolate the variable r on one side of the inequality sign.

Let's begin by subtracting 1 from both sides of the inequality:

1 + 3r - 1 > 10 - 1

This simplifies to:

3r > 9

Next, we can divide both sides of the inequality by 3 to solve for r:

(3r)/3 > 9/3

This simplifies to:

r > 3

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Answer:

A'(2,-5), B'(2,-1), C'(17,-5)

Answer/Step-by-step explanation:

Problem 1:

Radius = 4.8 cm

Height = 6 cm

Volume of cylinder (V) = πr²h

Plug in the values

V = π*4.8²*6 = 434.29 cm³

Problem 2:

Length of pipe = 26 cm

Internal diameter = 6.5 cm

Thickness = 0.5 cm

Pipe volume (V) = π(R² - r²)h

where,

R = Outer radius = ½(6.5) + 0.5 = 3.75 cm

r = inner radius = ½(6.5) = 3.25 cm

h = height = 26 cm

Plug in the values

V = π(3.75² - 3.25²)*26 = 285.88 cm³

Problem 3:

Volume the cylindrical paint can hold = 2.5 litres = 2.5*1000 = 2,500 cm³

Height (h) = 16 cm

Radius (r) = ??

Volume of cylindrical can (V) = πr²h

Plug in the values

2,500 = π × r² × 16

2,500 = 16π × r²

Divide both sides by 16π

2500/16π = r²

49.7 = r²

Take the square root of both sides

√49.7 = r

r = 7.05 cm (nearest hundredth)

Problem 4:

The section of the guttering is ½ of a cylinder

Diameter = 14 cm = 0.14 m

Radius = ½(0.14) = 0.07 m

Volume = 20 litres = 0.02 m³

Length (h) = ??

Volume of the guttering = ½(volume of cylinder) = ½(πr²h)

Plug in the values

0.02 = ½(π*0.07²*h)

0.02*2 = 0.0049π*h

0.04 = 0.0049π*h

Divide both sides by 0.0049π

0.04/0.0049π = h

2.6 = h (nearest tenth)

Length = 2.6 m

Problem 5:

Height of the smaller cylinder (h) = 13 cm

Radius of the smaller cylinder (r) = ½(7) = 3.5 cm

Volume of smaller cylinder = πr²h = π × 3.5² × 13 = 500.3 cm³

Volume of larger cylinder filled to a height of 5 cm = Volume of smaller cylinder

Thus:

Volume of cylinder filled to height of 5cm = 500.3 cm³

height (h) = 5

radius (r) = ???

Therefore,

500.3 = π × r² × 5

500.3 = 5π × r²

500.3/5π = r²

31.9 = r²

√31.9 = r

r = 5.6 cm (nearest tenth)

The measure of ∠QTS = 58°

Given; A triangle QPR

PQ = PR

this means that ∠ Q = ∠ R

and QR = QT this means ∠ R = ∠ T

And ST ║ QR

and QT is the transversal

From the above mentioned information we can conclude that

∠QTS = ∠TQR -------------- 1

Thus since ∠ Q = ∠ R  

by using angle sum property of triangle we can conclude that

∠ Q + ∠ R = 116  [ exterior angle sum property ]

2 ∠ Q = 116

∠ Q = 58°

this means ∠ TQR = 58°

And from 1 we know that this angle is equal to angle QTS

Thus ∠QTS = ∠TQR = 58°

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The probabilities of adults who drinks only coffee , both/ coffee ,soda and doesn't drink any are 5% , 65% and 35%.

Let A be the event that an adult consumes coffee.

Let B be the event that an adult consumes carbonated soda.

Given probabilities of the events.

P (A) = 0.4

P (B) = 0.6

P(A∩B) = 0.35

(a). P(A)  - P(A∩B) = 0.4 - 0.35

                             = 0.05 OR 5 %

(b). P(AUB) = P (A) + P (B) - P(A∩B)

                   = 0.4 + 0.6 - 0.35

                   = 0.65 OR 65%

(c). The given case represents compliment of the event when the adult consumes at least one of the drink. According to probability axiom, the probability is given by:

P ((AUB)') = 1 - P (AUB) = 1-0.65 = 0.35

Therefore,

P ((AUB)') = 0.35 or 35 %.

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Answer:

\(\boxed {\boxed {\sf (gh)(x)=-12x^3}}\)

Step-by-step explanation:

We are asked to evaluate (gh)(x). This is an operation on functions. Basically, we will multiply g(x) by h(x).

\((gh)(x)= g(x) * h(x)\)

The functions are:

We can substitute these into the formula.

\((gh)(x)=(-6x) * (2x^2)\)

Multiply. Remember, both the coefficients and variables are multiplied.

\((gh)(x)=(-6*2)(x*x^2)\)

\((gh)(x)=(-12)(x^3)\)

\((gh)(x)=-12x^3\)

(gh)(x) is equal to -12x³

Answer:

I think its 144!!!!!!!!!!!!!!!!!!

Answer:

Diagram 2  (Bottom diagram)

Step-by-step explanation:

The ratio is twice as many (2)

2:1

Answer:

c Melindas account will have about 5.40 more than olivia's account

Step-by-step explanation:

Answer:

The binomial probability distribution is shown below.

Step-by-step explanation:

The probability mass function of X is:

\(P(X=x)={n\choose x}p^{x}(1-p)^{n-x};x=0,1,2,3..\)

It is provided that n = 6 and p = 0.25.

Construct a binomial probability distribution with the given parameters as follows:

X                                       P (X = x)

0        \(P(X=0)={6\choose 0}(0.25)^{0}(1-0.25)^{6-0}= 0.1780\)

1         \(P(X=1)={6\choose 1}(0.25)^{1}(1-0.25)^{6-1}= 0.3560\)

2        \(P(X=2)={6\choose 2}(0.25)^{2}(1-0.25)^{6-2}= 0.2966\)

3        \(P(X=3)={6\choose 3}(0.25)^{3}(1-0.25)^{6-3}= 0.1318\)

4       \(P(X=4)={6\choose 4}(0.25)^{4}(1-0.25)^{6-4}= 0.0330\)

5       \(P(X=5)={6\choose 5}(0.25)^{5}(1-0.25)^{6-5}= 0.0044\)

6       \(P(X=6)={6\choose 6}(0.25)^{6}(1-0.25)^{6-6}= 0.0002\)

Compute the mean and standard deviation as follows:

\(\mu=np=6\times0.25=1.50\\\\\sigma=\sqrt{np(1-p)}=\sqrt{6\times 0.25\times (1-0.25)}=1.0607\)

Binomial probability distribution was constructed, and the mean and standard deviation comes to be 1.5 and 1.061 respectively.

As we know that binomial probability distribution is given by

\(P(x) = ^nC_xp^x(1-p)^{n-x}\)

The binomial distribution is a probability distribution that depicts the likelihood that a value will take one of two independent values under a given set of parameters.

Given n=6 & p=0.25

\(P(0) = ^6C_0(0.25)^0(1-0.25)^{6-0}\) = 0.1780

\(P(1) = ^6C_1(0.25)^1(1-0.25)^{6-1}\)=0.3560

\(P(2) = ^6C_2(0.25)^2(1-0.25)^{6-2}\) = 0.2966

\(P(0) = ^6C_3(0.25)^3(1-0.25)^{6-3}\) =0.1318

\(P(0) = ^6C_4(0.25)^4(1-0.25)^{6-4}\)=0.0330

\(P(5) = ^6C_5(0.25)^5(1-0.25)^{6-5}\)=0.0044

\(P(6) = ^6C_6(0.25)^6(1-0.25)^{6-6}\)= 0.0002

Mean = np

Mean = 6*0.25

Mean = 1.5

Standard deviation σ = \(\sqrt{np(1-p)}\)

σ = \(\sqrt{6*0.25(1-0.25)}\)

σ = 1.061

Hence, binomial probability distribution was constructed, and the mean and standard deviation comes to be 1.5 and 1.061 respectively.

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Answer:

3zx-15z+12x-60

Step-by-step explanation:

first do parenthesis and distribute (z+4)(x-5) into zx-5z+4x-20

then distribute the 3 to get the answer

Answer:

$ 4.86

Step-by-step explanation:

Subtract 7.19 and 2.33

7.19-2.33=4.86

Answer: 4.6

Step-by-step explanation: let the missing length be x

2+2+4.8+4.8+4.8+4.8+.4.8+x=32.6

28+x=32.6

x=32.6-28

x=4.6

Explanation:

A = set of odd numbers = {1,3,5}

B = set of factors of 12 = {1,2,3,4,6}

A U B = union of set A and set B

A U B = {1,3,5} union {1,2,3,4,6}

A U B = {1,3,5,       1,2,3,4,6}

A U B = {1,2,3,4,5,6}

The set union operation combines two sets into one bigger set. Duplicates are tossed out.

There are 6 elements in the set A U B = {1,2,3,4,5,6} out of 6 faces of the number cube.

Therefore, the probability event  A U B happens is 6/6 = 1 = 100%; i.e. it is guaranteed to happen. Each face of the number cube is either odd, a factor of 12, or both.

Side notes:

Answer:

false. the sqrt of -1 = i

Step-by-step explanation: