Find the lateral surface area in square kilometers, of the 3-dimensional figure shown below

Answer:

P = 1/3

P = 0.333

Step-by-step explanation:

There are 6 marbles in the pack, two of them are yellow.

\(P=\frac{2}{6} =\frac{1}{3}\)

Hope this helps

Answer:

111º

Step-by-step explanation:

The sum of the octagon's interior angles equals 900º.

Therefore, subtract the sum of the angles defined from 900

900 - (139+141+120+136+118+135) = 111º

Answer:

reject H0 ; conclude that there is significant evidence to conclude that candidate A is supported by less than 65% voters

Step-by-step explanation:

x = 115

n = 200

Phat = x / n = 115 / 200 = 0.575

H0 : P0 ≥ 0.65

H1 : P0 < 0.65

TEST STATISTIC :

Phat - P0 ÷ sqrt[(P0(1-P0))/n]

0.575 - 0.65 ÷ sqrt[(0.65(0.35))/200]

-0.075 ÷ 0.0337268

Test statistic -2.237

Pvalue :

P(Z < - 2.237) = 0.012643

α = 0.05

Pvalue < α

0.012643 < 0.05 ; We reject H0

We can conclude that there is significant evidence to conclude that candidate A is supported by less than 65% voters

The completed table for the amount of water in the tank at the given time given a constant flow rate of 1.6 is given below :

From the table given :

0.8 gallons of water flowed into the tank in 0.5 minutes ;

Since the flow rate is constant ; we can relate the amount of water, w, flowing into the tank at time, t as thus ;

w α t

w = kt ; where, k = constant of proportionality ;

We can obtain the value of k when w = 0.8 and t = 0.5

Therefore,

0.8 = 0.5k

Divide both sides by 0.5

(0.8÷0.5) = k

k = 1.6

Hence the flow rate of water into the tank is 1.6 ; the equation can be then be written thus ;

w = 1.6t

Let's find ;

w, when t = 1

w = 1.6(1)

w = 1.6

w, when t = 3

w = 1.6(3)

w = 4.8

4.8t, when w = 40

40 = 1.6t

Divide both sides by 1.6

(40 ÷ 1.6) = t

t = 25

Therefore, the constant of proportionality, k is 1.6

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Answer:

y = 3x - 10

Step-by-step explanation:

Answer:

y = 3x -10

Step-by-step explanation:

Slope intercept form is y = mx+b  where m is the slope and b is the y intercept

-9x +3y =-30

Add 9x from each side

-9x+9x +3y =9x-30

3y = 9x-30

Divide each side by 3

3y/3 = 9x/3 -30/3

y = 3x -10

The correct form in the synthetic division form is

Option A

The value of ∫ (f(x)-g(x))dx is 13. This can be determined by using the fundamental theorem of calculus and the given conditions.

According to the fundamental theorem of calculus, the integral of a function is equal to the difference between its values at the upper and lower limits.

As a result, we can find the value of ∫ (f(x)-g(x))dx by subtracting the value of ∫ g(x)dx from the value of ∫ f(x)dx.

The value of ∫ f(x)dx is given to be 21 and the value of ∫ g(x)dx is given to be 8. Therefore, the value of ∫ (f(x)-g(x))dx is equal to 21 - 8, which is 13.

Furthermore, we can also confirm this answer using the given condition of ∫ jj 3 (f(x)-g(x))dx = 2.

This means that the value of ∫ (f(x)-g(x))dx is equal to the difference between the values of ∫ f(x)dx and ∫ g(x)dx plus the value of ∫ jj 3 (f(x)-g(x))dx.

As a result, 21 - 8 + 2 = 13, which confirms the answer of 13.

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The angles of a triangle with side lengths 5 , 12 and 13 are 90°, 22.63°, 67.38°.

In trigonometry, the law of cosines, also known as the law of cosines or cosine formula, basically relates the length of a triangle to one cosine of its angle. It states that if we know the lengths of two sides of a triangle and the angle between them, we can determine the length of the third side. c² = a²+ b² – 2ab cosγ

where a, b, c are the sides of the triangle and γ is the angle between a and b, see image above.

To find the length of a side of a triangle, take △ABC according to the cosine formula, which can be written as follows.

We have , a = 5 , b = 12 , c= 13

cos α =( 12² + 13² - 5² )/2×12×13= 288/312

=> α = cos⁻¹(0.923 ) = 22.63°

cos β = (5² + 13² - 12² )/2×13×5 = 50/130

=> β = cos⁻¹(5/13) = 67.38°

cos γ = (12² + 5² - 13² )/2×12×5= 0

=> γ = cos⁻¹(0) = 90°

Hence, the required angles are 90°, 22.63°, 67.38°.

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The prime factorization of 3 is 3¹ which is expressed as operating exponents.

Prime Factorization is defined as any number that may be expressed as a product of prime numbers that has been said to be prime factorized. Any integer with exactly two factors 1 and the number itself. is said to be a prime number.

For example, 21= 3 × 7 is the prime factorization of 21 as 3 and 7 both are prime numbers.

To determine the prime factorization of 3

We need to write 3 as the product of its prime factors, which is 3.

⇒ 3 = 3 × 1

Converting its operating exponents,

⇒ 3 = 3¹

Thus, the prime factorization of 3 is 3¹ which is expressed as operating exponents.

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Answer: $0.20

Step-by-step explanation:

There are 16 ounces in 1 pound, so divide $3.20 by 16 to get the price of dollars/ounce

3.20/16 = $0.20/ounce

Answer:

$0.20 or 20 cents

Step-by-step explanation:

We know she pays $3.20 per pound, and that there are 16 ounces in a pound, so we can just divide to figure it out.

3.20 / 16 = 0.20

We can check our answer by doing the inverse of operations (multiplying)

16 x 0.20 = 3.20

So, she the price for an ounce of strawberries is $0.20 (20 cents). I hope this helps :)

The number of shirts that the debate club need to sell on order to break even would be = 17 T-shirts.

The total amount of money that the company producing the T-shirts will charge the club = $250

The total charge contains the following:

The amount to sell each T-Shirt. = $15 each.

The number of T-shirts that can be sold = 250/15 = 16.6

That is approximately = 17 T-shirts.

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Walking is not safe on the path whenever rabbits have been seen in the area, and berries are ripe along the path. This is formalized by using the →(if-then) and ∧(logical and) operators.

Given information and corresponding atomic propositions:

We need to formalize the given statements in terms of atomic propositions r, b, and w, which are defined as follows:

r: Rabbits have been seen in the area.

b: Berries are ripe along the path.

w: Walking on the path is safe.

Now, let us formalize each of the given statements in terms of these atomic propositions:

a) Berries are ripe along the path, but rabbits have not been seen in the area.

b: Rabbits have not been seen in the area, and walking on the path is safe, but berries are ripe along the path.

c: If berries are ripe along the path, then walking is safe if and only if rabbits have not been seen in the area.

d: It is not safe to walk along the path, but rabbits have not been seen in the area, and the berries along the path are ripe.

e) For walking on the path to be safe, it is necessary but not sufficient that berries not be ripe along the path and for rabbits not to have been seen in the area.

Walking is not safe on the path whenever rabbits have been seen in the area, and berries are ripe along the path.

The formalizations in terms of atomic propositions are:

a) b ∧ ¬r.b) ¬r ∧ w ∧

b.c) (b → w) ∧ (¬r → w).

d) ¬w ∧ ¬r ∧

b.e) (¬r ∧ ¬b) → w.b ∧

Berries are ripe along the path, but rabbits have not been seen in the area.

This is formalized by using the ∧(logical and) operator.

(¬r ∧ ¬b) → w: It means For walking on the path to be safe, it is necessary but not sufficient that berries not be ripe along the path and for rabbits not to have been seen in the area.

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Answer:

x=5

y=2

Step-by-step explanation:

-3(4х – 9у – 2 = 0)

=-12x+27y+6

12х - 5у + 38    

-12x+27y+6

22y=44

y=2

x:

4x-9(2)-2=

=4x-20

4x=20

x=5

Answer:

Associative property  

Step-by-step explanation:

FOR MORE INFORMATION

Commutative property :

A+B=B+A

A*B=B*A

. Associative property :

(A+B)+C=A+(B+C)

(A*B)*C=A*(B*C)

. Distributive property :

(A+B)*C=A*C+B*C

. Identity property :

A+0=A

A*1=A

Answer:

Step-by-step explanation:

The answer of the given question based on the balanced, net ionic equation for the reaction the answer is H+(aq)+OH-(aq) → H2O(l).

A reaction is a process that leads to the transformation from one set of the chemical substances to the another set. It involves breaking of old bonds between atoms and formation of new bonds to create new chemical species.

Reactions is represented by chemical equations that show  reactants on  left-hand side and  products on right-hand side.

The balanced, net ionic equation for the reaction between hydrochloric acid (HCl) and sodium hydroxide (NaOH) is:

H+(aq)+OH-(aq) → H2O(l)

This equation represents the net ionic reaction, which focuses only on the ions that participate in the reaction, ignoring the spectator ions (Na+ and Cl-) that do not participate in any chemical change.

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Answer:

6 in

Step-by-step explanation:

To find the height, just divide the volume by the base area

The contractor would have to work for 20 hours on the site to earn $555 total pay

What is total cost function?

Total cost function is the sum of the fixed charge, which is fixed cost to the person paying the contractor when the contractor visits the site and charge per hour multiplied by the number of hours spent working

TC=a+bX

TC=total cost=$555

a=fixed charged=$55

b=charge per hour=variable element of contractor's pay=$25

X=number of hours spent working=unknown

$555=$55+$25X

$555-$55=$25X

$500=$25*X

X=$500/$25

X=20

The contractor needs to work for 20 hours in order to earn a total pay of $555

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A vector function r(t) that represents the curve of intersection of the two surfaces, the cone z = x² + y² and the plane z = 2 + y, is r(t) = ⟨t, -t² + 2, -t² + 2⟩.

To find the vector function representing the curve of intersection between the cone z = x² + y² and the plane z = 2 + y, we need to equate the two equations and express x, y, and z in terms of a parameter, t.

By setting x² + y² = 2 + y, we can rewrite it as x² + (y - 1)² = 1, which represents a circle in the xy-plane with a radius of 1 and centered at (0, 1). This allows us to express x and y in terms of t as x = t and y = -t² + 2.

Since the plane equation gives us z = 2 + y, we have z = -t² + 2 as well.

Combining these equations, we obtain the vector function r(t) = ⟨t, -t² + 2, -t² + 2⟩, which represents the curve of intersection.

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In the line of symetry for this parabola is x = -1.

The maxima or minima of the parabola is \(-\frac{21}{4}\)

Estimate the gradient of the curve at x = 4 is 5.

The equation of the tangent of the point (4, 1) is 5x² - y² - 40x + 2y + 89 = 0.

The gradient of the curve at the point (-1, 1) is -1.

The steps are as follows:

The function of parabola y = x² - 3x - 3

(i) In the line of symetry for this parabola.

Symetry of the parabola:

x =  \(-\frac{b}{2a}\)    → for y = ax² + bx + c

x =  \(-\frac{-3}{-3}\)

x = -1

(ii) The maxima or minima of the parabola.

The maximum or minimum parabola can be found when the derivative is 0

y = x² - 3x - 3

y' = 2x - 3

0 = 2x - 3

2x = 3

x =  \(\frac{3}{2}\)

The maxima or minima of the parabola

y = x² - 3x - 3

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

  =  \(\frac{9}{4}\)  -   \(\frac{9}{2}\)  - 3

  =   \(\frac{9}{4}\)  -  \(\frac{18}{4}\)  -  \(\frac{12}{4}\)

  = \(-\frac{21}{4}\)

(iii) Estimate the gradient of the curve at x = 4

y = x² - 3x - 3

y' = 2x - 3

y' = m = 2(4) - 3

          = 8 - 3

          = 5

y = x² - 3x - 3

y = 4² - 3(4) - 3

  = 16 - 12 - 3

  = 1

(iv) The equation of the tangent of the point (4, 1)

(y - b)² = m (x - a)²

(y - 1)² = 5 (x - 4)²

y² - 2y + 1 = 5 (x² - 8x + 16)

y² - 2y + 1 = 5x² - 40x + 90

5x² - y² - 40x + 2y + 90 - 1 = 0

5x² - y² - 40x + 2y + 89 = 0

(v) The gradient of the curve at the point (-1, 1)

y = x² - 3x - 3

y' = 2x - 3

y' = m = 2(1) - 3

          = 2 - 3

          = -1

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Answer: the two numbers are in the question

Step-by-step explanation:

i took the test

Answer:

D

Step-by-step explanation:

Answer:

B and D

Step-by-step explanation:

Just trust me

The rule of inference being used here is Modus Tollens. Modus Tollens is a valid deductive argument form that states if a conditional statement "If P, then Q" is true and the consequent Q is false, then the antecedent P must also be false.

In the given scenario, the conditional statement is "If the guard dog doesn't know a person, then it barks."

The observation that the dog didn't bark (Q is false) leads to the conclusion that the dog must have known the person (the antecedent P is false).

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Answer:

The real answer is angle 5

Step-by-step explanation:

The angle 11 must measure the angle 85. The correct option is C.

An infinitely long row of evenly spaced dots that extends in both directions makes up a line. Its length is the only dimension it has. An illustration of a line is a horizontal mark made on a piece of paper. A figure made by two rays that intersect at the same endpoint is referred to as an angle.

Given that in the diagram, the measure of angle 9 is 85°. 4 lines intersect to form 16 angles. The angles created, clockwise from the top left are 1, 2, 3, 4; 5, 6, 7, 8; 9, 10, 11, 12; 13, 14, 15, 16.

The measure of angle 9 is equal to the measure of angle 11. it means that angle 9 and angle 11 are equal to 85 degrees. The image is attached with the answer below. Shows the angle 9 and angle 11 are vertically opposite angles.

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