which number produces an irrational number when multiplied bby 1/2

Answer:

it's 2 obviously

Step-by-step explanation:

thanks

Answer:

5 wings

Step-by-step explanation:

24 ounces of half-strength Sustacal can be made from a 12-ounce can of full-strength Sustacal (C)

To make half-strength Sustacal, you need to dilute the full-strength Sustacal with an equal amount of water. This means that a 12-ounce can of full-strength Sustacal will make a total of 24 ounces of half-strength Sustacal.

12 ounces of full-strength Sustacal mixed with 12 ounces of water will result in 24 ounces of half-strength Sustacal, with half the original concentration of active ingredients.

It's important to note that the preparation of half-strength Sustacal is crucial for patients who may have difficulty swallowing the full-strength product.

Half-strength Sustacal is also preferred by some patients who are looking for a less caloric or lower-concentration liquid nutrition option.

Preparation of half-strength Sustacal must be done carefully to ensure the correct dilution and to maintain the safety and efficacy of the product.

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Using the t-distribution, as we have the standard deviation for the sample, it is found that the test statistic is given by:

A. -4.47

At the null hypothesis, it is tested if they spend 7 hours a week answering their email, that is:

H₀: µ = 7

At the alternative hypothesis, it is tested if they spend less than 7 hours, that is:

H₁:  µ < 7

The test statistic is given by:

t = x -  µ/s/√n

The parameters are:

x is the sample mean.

µ is the value tested at the null hypothesis.

s is the standard deviation of the sample.

n is the sample size.

In this problem, the parameters are given as follows:

x = 6.02 ,  µ = 7, s =7.8, n=1264

Hence the test statistic is:

t =  x -  µ/s/√n

t = 6.02-7/7.8/√1264

t = -4.47

Thus the test elastic is -4.47.

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The solution will be that the home-decorating company will require 42 yards of fabric for the customer's window treatments.

As per the information we have received from the question,

A single window requires 13 yards and a double window requires 16 yards of fabric. We are asked to find out the length of fabric that will be required by the home-decorating company, in case there were 2 single windows and 1 double window. The total amount of fabric that will be required by the home-decorating company is hence equal to

13×(no of single windows)+ 16×(no of double windows)

Here, no of single windows= 2

And, no of double window= 1

Hence, total fabric length=13×2 + 16×1=26 + 16=42 yards

Hence the solution is 42 yards of fabric.

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The quantity of water in the reservoir after 6 hours at a rate of 2000 + 5t gal/hour is 12,180 gallons.

The quantity of water in the reservoir after 6 hours can be found by integrating the rate of flow over the given time period.

To find the quantity of water in the reservoir after 6 hours, you need to integrate the flow rate function with respect to time and evaluate it from 0 to 6 hours.

The flow rate function is given by R(t) = 2000 + 5t gal/hour.

First, we find the antiderivative of the rate of flow:

∫(2000 + 5t) dt = 2000t + (5/2)t² + C

Then, we plug in t = 6:

Now, evaluate the integral from 0 to 6 hours:

(2000(6) + (5/2)(6)²) - (2000(0) + (5/2)(0)²)

= 12000 + 180

= 12180 gallons

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Step-by-step explanation:

a)y=-10 x=-1

b)y=-9 x=2/3

c) y=8 x=3

d)y=-8 x=2

e)y=15.5 x=-6

hope this helps bro

The correct values are;

a) y = - 10, x = - 1

b) y = - 9, x = 2/3

c) y = 2, x = 3

d) y = - 8, x = 2

e) y = 6.5 , x = 6

What is an expression?

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

There are some expressions.

Now,

Find all the values after substitute the values as;

a. y = 6x + 8

When x = - 3;

y = 6 × - 3 + 8

y = - 18 + 8

y = - 10

When y = 2,

y = 6x + 8

2 = 6x + 8

2 - 8 = 6x

- 6 = 6x

x = - 1

b. y = 3x

When x = - 3;

y = 3 × - 3

y = - 9

When y = 2,

y = 3x

2 = 3x

x = 2/3

c. y = - x + 5

When x = - 3;

y =  - 3 + 5

y = 2

When y = 2,

y = - x + 5

2 = - x + 5

x = 5 - 2

x = 3

d. y = 2x - 2

When x = - 3;

y = 2 × - 3 - 2

y = - 6 - 2

y = - 8

When y = 2,

y = 2x - 2

2 = 2x - 2

2x = 2 + 2

2x = 4

x = 2

e. y = 1.5x + 11

When x = - 3;

y = 1.5 × - 3 + 11

y = - 4.5 + 11

y = 6.5

When y = 2,

y = 1.5x + 11

2 = 1.5x + 11

1.5x = 2 - 11

1.5x = - 9

x = 6

Thus, The correct values are;

a) y = - 10, x = - 1

b) y = - 9, x = 2/3

c) y = 2, x = 3

d) y = - 8, x = 2

e) y = 6.5 , x = 6

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The length of the entire tunnel is 127.88 meters by using cosine law or formulae.

Here we can use the formulae of cosine when two sides a and b and angle between then is given we can apply it.

\(c^{2} =a^{2} +b^{2} -2ab cos (\alpha )\)

Let us take surveyor as point A

one end of the tunnel denoted by point B

other end of the tunnel denoted by point C.

The length of AB is 101 meters

length of AC is 120 meters.

Measure of angle at point A = 42° + 28° =70°

Now lets find the length of tunnel

=\(\sqrt{(120^{2})+(101^{2})-2.(120)(101) cos (70) }\)

=\(\sqrt{14400+10201-24240(0.34)}\)

=\(\sqrt{24601-8246}\)

\(\sqrt{16355}\)

=127.88 meters.

Hence the length of the entire tunnel is 127.88 meters.

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The probability of being dealt 4​, ​5, 6​, 7​, and 8​, not necessarily in the same​ suit is  0.00039.

The cards 4,5,6,7, and 8 are given to us. We must figure out the probability of obtaining these cards in a deal. As we already know, probability equals the number of possible card selection methods divided by the total number of possible card selection methods. The amount of card selection options will therefore be determined initially.

We know that there are four cards of each number, 4, 5, 6, 7 and 8, in a deck of 52 cards. This means that there will be an equal number of possibilities to choose one card from the decks of 4, 5, 6, 7 and 8 when raised to the power of five.

Possible ways= 4^5= 1024

Total selection= C(52,5)= 2598960

Probability of being dealt with  4​, ​5, 6​, 7​, and 8​ is 1024/2598960 which is equal to 0.00039.

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Answer:

7.884

Step-by-step explanation:

so taking the point T(13,1.6) and the point V(5.4,3.7) we move from point T(13,1.6) to the point V(5.4,3.7) the x-coordinate increases by ( 13-5.4)=7.6 and the y- coordinate decreases by ( 1.6-3.7)=(-2.1). now we have 7.6 and -2.1. we find the squares of this numbers and add so we have 7.6 giving us 57.76 and -2.1 giving us 4.41. now we add both 57.76+4.41=62.17. and we find the square roots √62.17 which will give us 7.884. and therefore the distance between the two point is 7.884

Answer:

d= 8 n=9

Step-by-step explanation:

The correct answer is (D) The full length to which it can be extended.

The size classification of an extension ladder indicates the full length to which it can be extended.
An extension ladder's size classification indicates the total length the ladder can reach when its fly section is fully extended.

This helps users determine if the ladder will be long enough for their specific needs when working at height.

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The Venn Diagram for showing odd numbers and prime numbers would be :

Odd numbers :

Prime number :

Both prime and odd:

4 is not to be included in the Venn Diagram.

Prime numbers are positive integers that have exactly two distinct divisors, which are 1 and the number itself. In other words, a prime number is a number greater than 1 that is divisible only by 1 and itself.

1 is an odd number but not a prime number. 2 is a prime number but not an odd number. 3 and 5 are both odd and prime numbers.

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Step-by-step explanation:

1)

Let x=larger number

y=smaller number

x+y=59

x-y=13

Now adding these two equations we get

2x=72

x=36

Now as x-y=13

y=x-13=36-13=23

y=23

Therefore the larger number is 36 and the smaller number is 23

(or else u could also write)

The numbers are 36 and 23

---------------------------------------------

2)

Let x=first number

y=Second number

x+y=15

2x-y=6

Now adding these two equations we get

3x=21

x=7

Now as x+y=15,

y=15-x=15-7=8

y=8

Therefore the first number is 7 and the second number is 8

-------------------------------------------

3)

Let x=Larger number

y=smaller number

x-y=3

x-3y=-11

Now on subtracting these two equations we get

2y=14

y=7

Now as x-y=3,

x=y+3=7+3=10

x=10

Therefore the larger number is 10 and the smaller number is 7

Note:-First and last one has already been solved by me in your other two questions .Second one to be solved

#2

Add both

Put in first one

The inequality shaded in the graph is given as follows:

y ≥ 5x/2 + 3.

The slope-intercept equation for a linear function is presented as follows:

y = mx + b

In which:

The graph crosses the y-axis at y = -3, hence the intercept b is given as follows:

b = 3.

When x increases by 2, y increases by 5, hence the slope m is given as follows:

m = 5/2.

Then the equation of the line is given as follows:

y = 5x/2 + 3.

The line is a solid line, and values above it are plotted, hence the inequality is given as follows:

y ≥ 5x/2 + 3.

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Answer:

3

Step-by-step explanation:

3 1/5 - 2 1/2 +2 3/5

3 1/5 ➡is about 3

-2 1/2 ➡is about 3

2 3/5➡is about 3

3-3+3=3

Given:

Principal balance = P = $1,500

Annual interest rate = r = 10.9%

Time (in years) = 8 months = 8/12 = 2/3 years

For us to be able to determine the simple interest earned, we will be using the following formula:

We get,

Therefore, the simple interest earned in 8 months will be $109.

Answer:

The book is 270 pages long.

The probability that the bottling plant bottles chocolate milk exactly 4 of the 5 days he visits approximately 32.9%

Probability:

Probability refers the possibility of occurring a particular event.

Binomial Probability:

Binomial probability refers the probability of a SUCCESS or FAILURE outcome in an experiment or survey that is repeated multiple times. The binomial is a type of distribution that has two possible outcomes.

The formula for the binomial probability is,

Pₓ = ⁿCₓ pˣ qⁿ⁻ˣ

Where,

n = the number of experiments

x = 0, 1, 2, 3, 4, …

p = Probability of success in a single experiment

q = Probability of failure in a single experiment

Given,

Robert likes chocolate milk, so he decides to visit the milk bottling plant every day for a week to get the free samples.

Unfortunately for him, the bottling plant sometimes bottles regular milk instead of chocolate milk, so each day the plant has a 2/3 chance of bottling chocolate milk.

Here we need to find the probability that the bottling plant bottles chocolate milk exactly 4 of the 5 days he visits.

Apply the values on the formula,

Then we get,

=> Pₓ=⁵C₄ x (2/3)⁴ x (1/3)

=> Pₓ = 5 x (16/81) x (1/3)

=> Pₓ = 80 / 243

=> Pₓ ≈ 32.9%

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The number of sandwiches bought is 3

A statement with more than two variables or numbers can be written as an expression using addition, subtraction, multiplication, and division operations.

Example: The formula 2 + 3 x + 4 y = 7

You must substitute a number for each variable and carry out the arithmetic operations in order to evaluate an algebraic statement. Since 6 + 6 equals 12, the variable x in the example above is equal to 6. If we are aware of the values of our variables, we may substitute those values for the original variables before evaluating the expression.

According to the above question:-

One bottle costs $1.50.

A drink costs $2.

A sandwich costs $3.

10 bottles were bought total.

There were 5 drinks purchased.

S = number of sandwiches purchased

$40 has been spent in total.

Now,

10 x 1.50 + 5 x 2 + 3S = 40

Simplify.

15 + 10 + 3S = 40

25 + 3S = 40

Take 25 away from both sides.

3S = 40 - 25

3S = 15

By 3, divide both sides.

S = 15/3

S = 3

Thus,

3 sandwiches were purchased

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Answer: a. 14 Computers

b. 62 Computers

Step-by-step explanation:

a) What is the amount of increase in computers needed?

Number of Computers sold last month = 48

Percentage increase required = 30%

Amount of increase in computers needed= 30% × 48

= 0.3 × 48

= 14.4

= 14 approximately

b)What is the new amount of computers the team must sell?

This will be the amount of Computers sold last month plus the increase.

= 48 + 14

= 62 Computers

a) The approximate percent change in the area of an ellipse when a increases by 2% and b increases by 1.5% is 3.03%.

b) The approximate percent change in the volume of a segment of a circular paraboloid when the radius decreases by 1.5% and the height increases by 2.2% is 1.2092%.

a) To approximate the percent change in the area of an ellipse when a increases by 2% and b increases by 1.5%, we can use the concept of differentials.

Let's denote the original area as A and the new area as A'. We have:

A = πab

We want to find the percent change in the area, which can be calculated using the formula:

Percent change = ((A' - A) / A) * 100

First, let's calculate the new values of a and b:

New a = a + 0.02a = 1.02a

New b = b + 0.015b = 1.015b

Now, let's calculate the new area A':

A' = π(1.02a)(1.015b) = π(1.0303ab)

Using the percent change formula, we can find:

Percent change = ((A' - A) / A) * 100

= ((π(1.0303ab) - πab) / (πab)) * 100

= (π(1.0303ab - ab) / (πab)) * 100

= (0.0303 / 1) * 100

= 3.03%

Therefore, the approximate percent change in the area of the ellipse when a increases by 2% and b increases by 1.5% is 3.03%.

b) To approximate the percent change in the volume of a segment of a circular paraboloid when the radius decreases by 1.5% and the height increases by 2.2%, we can again use the concept of differentials.

Let's denote the original volume as V and the new volume as V'. We have:

V = (πr^2h) / 2

We want to find the percent change in the volume, which can be calculated using the formula:

Percent change = ((V' - V) / V) * 100

First, let's calculate the new values of r and h:

New r = r - 0.015r = 0.985r

New h = h + 0.022h = 1.022h

Now, let's calculate the new volume V':

V' = (π(0.985r)^2(1.022h)) / 2

= (π(0.970225r^2)(1.022h)) / 2

= (1.006046πr^2h) / 2

Using the percent change formula, we can find:

Percent change = ((V' - V) / V) * 100

= (((1.006046πr^2h) / 2) - ((πr^2h) / 2)) / ((πr^2h) / 2) * 100

= (0.006046 / 0.5) * 100

= 1.2092%

Therefore, the approximate percent change in the volume of the segment of a circular paraboloid when the radius decreases by 1.5% and the height increases by 2.2% is 1.2092%.

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The solution of the given system of equations is x = -4, y = 5 and z = 2 is the answer.

The system of equations given below:x + 2y + 3z = 11;2x + 4y + 5z = 21;3x + 5y + 6z = 27.

Here, we will solve this system of equations using inverse of the matrix method as follows:

We can write the given system of equations in matrix form as AX = B where, A = [1 2 3; 2 4 5; 3 5 6], X = [x; y; z] and B = [11; 21; 27].

The inverse of matrix A is given by the formula: A-1 = (1/ det(A)) [d11 d12 d13; d21 d22 d23; d31 d32 d33]  where,

d11 = A22A33 – A23A32 = (4 × 6) – (5 × 5) = -1,

d12 = -(A21A33 – A23A31) = -[ (2 × 6) – (5 × 3)] = 3,

d13 = A21A32 – A22A31 = (2 × 5) – (4 × 3) = -2,

d21 = -(A12A33 – A13A32) = -[(2 × 6) – (5 × 3)] = 3,

d22 = A11A33 – A13A31 = (1 × 6) – (3 × 3) = 0,

d23 = -(A11A32 – A12A31) = -[(1 × 5) – (2 × 3)] = 1,

d31 = A12A23 – A13A22 = (2 × 5) – (3 × 4) = -2,

d32 = -(A11A23 – A13A21) = -[(1 × 5) – (3 × 3)] = 4,

d33 = A11A22 – A12A21 = (1 × 4) – (2 × 2) = 0.

We have A-1 = (-1/1) [0 3 -2; 3 0 1; -2 1 0] = [0 -3 2; -3 0 -1; 2 -1 0]

Now, X = A-1 B = [0 -3 2; -3 0 -1; 2 -1 0] [11; 21; 27] = [-4; 5; 2]

Therefore, the solution of the given system of equations is x = -4, y = 5 and z = 2.

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Answer:

Step-by-step explanation:

The probability of landing on a number greater than 4 on the first spin is 2/3, because 2 out of the 3 numbers (5, 4, 6) are greater than 4.

If the first spin lands on a number greater than 4, then there are two numbers left (4 and 5) for the second spin. The probability of landing on a number less than 6 on the second spin is 2/2 or simply 1, because both 4 and 5 are less than 6.

Therefore, the probability of landing on a number greater than 4 on the first spin and a number less than 6 on the second spin is:

(2/3) x (1) = 2/3 or approximately 0.67.

xx+1=132=131=xx=x=131/x

The geometric mean between -32 and i is given by:

\(\sqrt{-32i}\)

The geometric mean between n values is given by the nth root of the multiplication of these values.

For this problem, we have that:

Due to the two values, we take the square root, hence, the geometric mean between -32 and i is given by:

\(\sqrt{-32i}\)

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Answer:

t is less than or equal to 10

Step-by-step explanation:

At most means less than or equal to. The boat costs 6 an hour, so, 6t. He has a $8 off coupon, so, 6t-8 is less than or equal to 52. Add 8 on both sides and then divide by 6 to isolate t. t is less than or equal to 10 hours.