Suppose C = 30y + 15 and y = 40x + 25.

Which of the following is equivalent to C = 30y + 15, but written only in terms of x?

Answer:

yes

Step-by-step explanation:

A rational number is in the form p/q where p and q are both integers and the denominator q is not equal to zero. This means that the set of all real numbers are rational numbers.

Since q can be any integer apart from zero, it means that all integers are rational numbers i.e for q = 1.

Hence 2 which can be written as fraction as 2/1 is a rational number since the denominator (q = 1) is a non zero number

Answer:

Mark is not correct because a fraction is rational only if the numerator and the denominator are both integers.

Step-by-step explanation:

Answer:

10:25

Step-by-step explanation:

mow the lawn 1:10

trim bushes: 0:30

put down mulch: 0:35

shower: 0:20

Total time = 1:10 + 0:30 + 0:35 + 0:20 = 1:95 = 2:35

She needs 2 hours and 35 minutes to do everything.

1:00 p.m. = 13:00

13:00 - 2:35 = 12:60 - 2:35 = 10:25

She should start work at 10:35 a.m.

Answer:

The radius is [tex] 2\sqrt{15} [/tex]

The center is (3, 3)

Step-by-step explanation:

Equation of circle in standard form with center at (h, k) and radius r:

[tex] (x - h)^2 + (y - k)^2 = r^2 [/tex]

We need to complete the square in x and y.

[tex] x^2 + y^2 - 6x - 6y = 42 [/tex]

Separate x-terms and y-terms:

[tex] x^2 - 6x + ~~~~~y^2 - 6y + ~~~~~ = 42 + ~~~~~ + ~~~~~ [/tex]

To complete the square, you square half of the linear term's coefficient.

Linear term in x: -6x

Coefficient: -6

Half of the coefficient: -3

Square half of the coefficient: 9

We need to add 9 to both sides to complete the square in x.

The linear term in y is -6y, so we do the same and we also need to add 9 to both sides to complete the square in y.

[tex] x^2 - 6x + 9 + y^2 - 6y + 9 = 42 + 9 + 9 [/tex]

[tex] (x - 3)^2 + (y - 3)^2 = 60 [/tex]

Now that we have the equation in standard form, we can get the radius and center of the circle.

[tex] r^2 = 60 [/tex]

[tex] r = \sqrt{60} [/tex]

[tex] r = \sqrt{4 \times 15} [/tex]

[tex] r = 2\sqrt{15} [/tex]

The radius is [tex] 2\sqrt{15} [/tex]

The center is (3, 3)

Answer: 1/5, 1/2, 0.

Step-by-step explanation:

given data:

no of cameras = 6

no of cameras defective = 3

no of cameras selected = 2

Let p(t):=P(X=t)

p(2)=m/n,

m=binomial(3,2)=3!/2!= 3

n=binomial(6,2)=6!/2!/4! = 15

p(3)= 3/15

= 1/5.

p(1)=m/n,

m=binomial(6,1)*binomial(2,2)=6!/1!/4!*2!/2!/0!= 7.5

n=binomial(6,2)= 15

p(2)= 7.5/15

= 1/2

p(0)=m/n,

m=0

p(0)=0

Answer:

a.

The probability of X

k                                             P(X=k)

0                                              0.25

1                                               0.5

2                                              0.25

b. The expected variable value of X; E(X) = 1

Step-by-step explanation:

Given that:

number of cameras = 6

numbers of defective  = 3

the probability of defective camera p = 3/6 = 0.5

sample size n = 2

Then X = {0,1,2}

Suppose X is the given variable that represents the number of defective cameras in the sample.

∴

X [tex]\sim[/tex] Bin (n =2, p = 0.5)

The probability mass function of binomial distribution can be computed as :

[tex]P(X =x) = (^n_x) p^x (1-p)^{n-x}[/tex]

For  ;

x = 0

The probability P(X=0)  [tex]= (^2_0) 0.5^0 (1-0.5)^{2-0}[/tex]

[tex]P(X=0) = \dfrac{2!}{0!(2-0)!} \times 1 \times 0.5^2[/tex]

[tex]P(X=0) =1\times 1 \times 0.25[/tex]

[tex]P(X=0) = 0.25[/tex]

For :

x = 1

The probability P(X=1)  [tex]= (^2_1) 0.5^1 (1-0.5)^{2-1}[/tex]

[tex]P(X=1) = \dfrac{2!}{1!(2-1)!} \times 0.5^1 \times 0.5^1[/tex]

[tex]P(X=1) =2 \times 0.5 \times 0.5[/tex]

[tex]P(X=1) =0.5[/tex]

For :

x = 2

The probability P(X=2)  [tex]= (^2_2) 0.5^2 (1-0.5)^{2-2}[/tex]

[tex]P(X=2) = \dfrac{2!}{2!(2-2)!} \times 0.5^2 \times 0.5^0[/tex]

[tex]P(X=2) =1 \times 0.5^2 \times 1[/tex]

[tex]P(X=2) =0.25[/tex]

The probability of X

k                                             P(X=k)

0                                              0.25

1                                               0.5

2                                              0.25

The expected variable value of X can be computed as:

E(X) = np

E(X) = 2 × 0.5

E(X) = 1

Answer:

The number 18 is a counterexample for Option D - If a number is divisible by 2, then it is also divisible by 4.

Step-by-step explanation:

To find : The number 18 is a counterexample for which of the following conditional statements?

Solution :

For a conditional statement to be true then it is true for all cases that satisfy the condition.

A counterexample is given to prove a conditional statement false.

Now, Examine all the conditions

A. If a number is divisible by 2, it is even.

18 is even and divisible by 2 - True

B.  If a number is odd, then it is not divisible by 2.

18 is not odd so it is divisible by 2 - True

C. If a number is even, then it ends with 0, 2, 4, 6, or 8.

18 ends with 8 so it is even - True

D. If a number is divisible by 2, then it is also divisible by 4.

18 is divisible by 2 but 18 is not divisible by 4 - False

Therefore, The number 18 is a counterexample for Option D - If a number is divisible by 2, then it is also divisible by 4.

Answer:

15

Step-by-step explanation:

25-10=15

You take out 10 cents and u have 15 left

Answer:

2-x-9? If that's the question than it would be -x-7, but your question kinda confuses me.

Step-by-step explanation:

Answer:

7 movies

Step-by-step explanation:

Given

membership cost for 1 month = $10

rent for 1 movie = $2

Maximum money to be spent by a member = $24

Let the no. of movie rented by x

Thus, total rent for x movies = x* rent for 1 movie = x*$2 = $2x

Total spending for 1 month = membership cost for 1 month +  total rent for x        movies

Total spending for 1 month = 10 +2x

Given that he can spend at most $24

Total spending for 1 month <= 24

10 + 2x <= 24

2x <= 24-10

2x <= 14

x <= 14/2

x <= 7

Thus, movies rented can be less than or equal to 7.

since we have to find the maximum movies rented in 23, it will be 7

Thus, at most 7 movies can be rented.

33 animals at the shelter are dogs.

Answer:

x+5y+2z sry if itss wrong lol

Step-by-step explanation:

Answer:

9/14

Step-by-step explanation:

Answer: b, d, e

Trapezoids are quadrilaterals (a shape with four sides) and they have two pairs of sides; one pair are parallel, and the other pair are not.

Picture shown below.

The correct properties of a trapezoid are:

A trapezoid is a quadrilateral, which means it has four sides. One defining property of a trapezoid is that it has one pair of opposite sides that are parallel. This means that these parallel sides never intersect.

Additionally, a trapezoid has another pair of opposite sides that are not parallel, which means they do intersect. Unlike a rectangle or square, a trapezoid does not have all sides congruent.

Lastly, the diagonals of a trapezoid do not necessarily intersect at right angles. The angle formed by the intersection of the diagonals can vary in size. These properties collectively distinguish a trapezoid from other quadrilaterals and make it a unique shape.

Learn more about trapezoids here:

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Answer:

What is the =

Step-by-step explanation:

4x would be 4x4, 16. Then you add 14!

Answer:

Step-by-step explanation:

Given the equation [tex]2\sin^2(x) = 1 \\[/tex], we are to find all the values of x in the interval  [0, 2π] that satisfies the equation.

Simplifying the equation:

[tex]2\sin^2(x) = 1 \\\\sin^2x = \frac{1}{2} \\\\[/tex]

Square both sides of the equation;

[tex]\sqrt{sin^2x } = \sqrt{\frac{1}{2} } \\\\sin(x) = \sqrt{0.5}\\ \\sin(x) = 0.7071\\\\x = sin^{-1}0.7071\\\\x \approx 45^0[/tex]

The general formula for sin(x)  is x = nπ + (-1)ⁿ∝ where n = 0, 1, 2, 3...

Since ∝ = 45° = π/4.

x = nπ + (-1)ⁿπ/4

when n = 1

x = π + (-1)¹π/4

x =  π - π/4

x = 3π/4

Hence the values of x within the given interval are π/4 and 3π/4

Answer: -0.64

Step-by-step explanation:

We know that the coefficient of determination  in a simple linear regression model is denoted by [tex]r^2[/tex], which gives the proportion of the variance in the dependent variable that is predictable from the independent variable.

Given, the coefficient of determination in a simple linear regression model is 64%.

i.e.

[tex]r^2= 0.64\\\\\Rightarrow\ r=\sqrt{0.64}=\pm 0.64[/tex]

As there is negative relation between the dependent and independent variables.

Then, the correlation coefficient = -0.64

Answer:

Scale Factor = 3

x=45

y=75

Step-by-step explanation:

Scale Factor = 60/20 = 3

x=15*3=45

Y=25*3=75

Step-by-step explanation:

A = 280² ft²

A = (200 + 80)² ft²

A = [200² + 2(200)(80) + 80²] ft²

A = (40000 + 32000 + 6400) ft²

A = 78400 ft²

The required area of the dog park using polynomial is 6771204 feet².

Polynomial is an algebraic expression that has more than two terms. In other words, it is a combination of different variables with mathematical operations.

Given that,

The area of the park = square of the side length a = 2802 feet².

To find the area of the park, using polynomial use

Formula of area of square = (a)²

= (2802)²

= (2800 + 2)²

Use formula (a + b)² = a² + b² + 2ab

= (2800)² + (2)² + 2 x 2800 x 2

= 6,760,000 + 4 + 11200

= 6771204 feet²

The required area of the dog park is 6771204 feet².

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Answer:

Total number of ways= 144 ways

Step-by-step explanation:

Number of ways 3 can order chicken

= 3!

= 3*2*1

= 6

Number of ways 4 can order steak

= 4!

= 4*3*2*1

= 24

Number of ways 1 can order lobster

= 1!

= 1

Total number of ways= 24*6*1

Total number of ways= 144 ways

The total number of different ways is 144.

Since If eight persons are having dinner together.And, there is three order chicken, four order steak, and one order lobster

Now

Number of ways 3 can order chicken

= 3!

[tex]= 3\times 2\times 1[/tex]

= 6

Now

Number of ways 4 can order steak

= 4!

[tex]= 4\times 3\times 2\times 1[/tex]

= 24

Now Number of ways 1 can order lobster

= 1!

= 1

So, total should be

[tex]= 24\times 6\times 1[/tex]

= 144 ways

Learn more about person here: https://brainly.com/question/9222927

Answer:

i think it is rational but if u guess u have a 50/50 chance

Step-by-step explanation:

Answer:

Rational

Step-by-step explanation:

I believe the answer is rational because it’s a decimal and goes with the rational category.

Answer:

attached below is the missing part of the question and the solution

A) 60%, 40%

B) 25%

C) 60%

Step-by-step explanation:

a) The accuracy of always-taken for this sequence of branch outcomes = 60%

The accuracy of always -not-taken for this sequence of branch outcomes = 40%

b) The accuracy of the 2-bit predictor for the first four branches assuming that the predictor starts off in the bottom left state = 25%

C)the accuracy of the 2-bit predictor if this pattern is repeated forever = 60% ( was stopped after the fourth iteration because the fourth and third iterations are the same)  =

Answer:

11 feet

Step-by-step explanation:

The area of a square is simply the side of the square squared.  This can be written as an equation as follows:

A = l^2

where A is the area of the square and l is the length of a side of the square.

Using this, we can find the length of the side.

121 = l^2

sqrt(121) = sqrt (l^2)

11 = l

Hence, the side length of the square is 11 feet.

Cheers.

Answer:

11

Step-by-step explanation:

[tex]Area = s^2[/tex]

s = side

[tex]A =121\\121 = s^2\\Square\:root\:both\:sides\:of\:the\:equation\\\sqrt{121}=\sqrt{x^2} \\\\11 =x\\x=11[/tex]

Answer:

Hey there!

The solution is (1, 2) because that is where the lines intersect.

Hope this helps :)

Answer:

52630

Step-by-step explanation:

Simplify into numbers.

30 + 2000 + 40000 + 600 + 10000

Add.

52630

Answer:

(B) {6,6,7}

Step-by-step explanation:

A criterion to determine if each triplet represents a triangle is the Law of Cosine, which states that:

[tex]a^{2} = b^{2}+c^{2}-2\cdot b \cdot c \cdot \cos \theta[/tex]

Where [tex]a[/tex], [tex]b[/tex] and [tex]c[/tex] are sides of the triangle and [tex]\theta[/tex] is the angle opposite to side [tex]a[/tex]. Now, let is clear the cosine function:

[tex]2\cdot a \cdot b\cdot \cos \theta = b^{2}+c^{2}-a^{2}[/tex]

[tex]\cos \theta = \frac{b^{2}+c^{2}-a^{2}}{2\cdot b \cdot c}[/tex]

Cosine is a bounded function between -1 and 1, a triplet corresponds to a triangle if and only if result is located between upper and lower bounds. Now let is evaluate each triplet:

a) [tex]a = 2[/tex], [tex]b = 5[/tex], [tex]c = 9[/tex]

[tex]\cos \theta =\frac{5^{2}+9^{2}-2^{2}}{2\cdot (5)\cdot (9)}[/tex]

[tex]\cos \theta = 1.133[/tex] (Absurd)

The triplet does not represent a triangle.

b) [tex]a = 6[/tex], [tex]b = 6[/tex], [tex]c = 7[/tex]

[tex]\cos \theta =\frac{6^{2}+7^{2}-6^{2}}{2\cdot (6)\cdot (7)}[/tex]

[tex]\cos \theta = 0.583[/tex] (Reasonable)

The triplet represents a triangle.

c) [tex]a = 6[/tex], [tex]b = 4[/tex], [tex]c = 2[/tex]

[tex]\cos \theta = \frac{4^{2}+2^{2}-6^{2}}{2\cdot (4)\cdot (2)}[/tex]

[tex]\cos \theta = -1[/tex] (Absurd)

The triplet does not represent a triangle, but a straight line.

d) [tex]a = 7[/tex], [tex]b = 8[/tex], [tex]c = 1[/tex]

[tex]\cos \theta = \frac{8^{2}+1^{2}-7^{2}}{2\cdot (8)\cdot (1)}[/tex]

[tex]\cos \theta = 1[/tex] (Absurd)

The triplet does not represent a triangle, but a straight line.

Hence, the correct answer is B.

Answer:

x,  y

2, 2

4, 3

7, 4.5

9, 5.5

Step-by-step explanation:

matching input / output values.

insert each values into the equation.

1.  x             y = (x)/2  + 1

2.  2            y = (2)/2  + 1      y = 2

3.  4            y = (4)/2  + 1      y = 3

4.  7            y = (7)/2  + 1      y = 4.5

5.  9            y = (9)/2  + 1      y = 5.5

therefore,

x,  y

2, 2

4, 3

7, 4.5

9, 5.5

i hope the above solution is what you are lookin'

Answer:

(-2,2)

Step-by-step explanation:

Usually in these types of questions, the solution is the intersection point between the two equations. These two lines intersect at what looks like the point (-2,2) so that is the solution.

Hope this helped!

Answer:

19

Step-by-step explanation:

hey there,

< First, always start by putting all the numbers given in numerical order. Here, it would be: 6, 12, 18, 20, 25

The range is the largest number (25) minus the smallest number (6). So 25-6 = 19. >

Hope this helped! Feel free to ask anything else.

Answer

Kelvin 223  669 < 356  

Lori 55                165 < 356  

Vanessa 265  795 < 356  

Devon 172          516 < 356  

Celia 112           336 < 356

Step-by-step explanation:

Answer:

check the answer

Step-by-step explanation:

find the answer in the attached file

Answer:

25

Step-by-step explanation:

Answer:

25

Use a number line.

The distance between -25 and 0 is 25.

So, that is your answer. Hope it helps!