Determine whether the sum or product will be rational or irrational.
1. 10 + 0.01
Rational / Irrational

2. 12 + 0.05
Rational / Irrational

3. 15 +0.07
Rational / Irrational

4. 17 + 0.02
Rational / Irrational

5. 77 + 8
Rational / Irrational

Answer:

1526.1

Step-by-step explanation:

45782 DIVIDED BY 30 is 1526.1

Answer:

152 Remainder 18

Step-by-step explanation:

thank the air and cardboard boxes have a great day.

Answer:

34 mph and 68 mph respectively

Step-by-step explanation:

Step one:

given data

let the speed of the first truck be x mph

and the speed of the second truck be 2x mph

time taken = 6 hours

total distance = 204 miles

Step two:

from speed = distance/time

distance= speed*time

hence

2x*6-6x= 204

12x+6x= 204

6x= 204

divide both side by 6

x= 204/6

x=34 mph

The second truck was moving at

=2x

=2*34

=68 mph

Answer:

34 and 68

Step-by-step explanation:

its a secret

Probability that the sum of the numbers rolled is even = 5/8

An even number is 3 times more likely to appear as an odd number, the probability of an even number appearing is 3/4.

The problem states that the sum of the two dies must be even, the numbers must both be even, or both be odd. We either have EE or OO, so we have:

= 3/4x3/4 + 1/4x1/4

= 1/16 + 9/16

= 10/16

Probability that the sum of the numbers rolled is even = 5/8

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Answer:

slope means the bottom I think

Step-by-step explanation:

To find the interest of Chris Owens’ credit union loan of $3,290 at 10(1/3)% interest for 110 days, we use the simple interest formula as follows:

Simple Interest = (P × R × T)/100Where:P = Principal or amount borrowedR = Rate of interest per annumT = Time in years or fraction of a year110 days ÷ 360 days = 0.3056 (time as a fraction of a year)The rate of interest, 10(1/3)% is equal to 10 + (1/3) percent = 10.33% per annum in decimal form = 0.1033Substituting the values we have into the formula,Simple Interest = (P × R × T)/100= (3,290 × 0.1033 × 0.3056)/100= $100.68 (rounded to the nearest cent)

Therefore, the interest of Chris Owens’ credit union loan of $3,290 at 10(1/3)% interest for 110 days is $100.68.

A credit union loan is a type of personal loan that can be used for a variety of purposes. One of the most common reasons people take out credit union loans is to purchase big-ticket items like a new computer system. When you take out a loan, you must pay back the amount borrowed plus the interest charged by the lender. The interest rate is usually expressed as a percentage of the amount borrowed and is charged for a specific period of time known as the loan term. Simple interest is a method of calculating interest that is charged only on the principal amount borrowed.

It does not take into account the interest that has already been paid. Simple interest is calculated by multiplying the principal amount borrowed by the interest rate and the length of the loan term. The answer is more than 100 words.The interest of Chris Owens’ credit union loan of $3,290 at 10(1/3)% interest for 110 days is $100.68. Therefore, he would pay $3,290 + $100.68 = $3,390.68 in total to the credit union over the loan term. It is important to note that when rounding dollar amounts to the nearest cent, amounts that end in .50 or higher are rounded up to the next highest cent, while amounts that end in .49 or lower are rounded down to the next lowest cent. In this case, $100.6847 would be rounded up to $100.68. In conclusion, the interest charged on a loan can significantly increase the total amount that must be repaid, making it important for borrowers to understand how interest is calculated and the terms of their loan.

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A sequence of transformation that would move ΔABC onto ΔDEF is: D. a dilation by a scale factor of 1/2, centered at the origin, followed by a 90° clockwise rotation about the origin.

In Geometry, a dilation is a type of transformation which typically changes the size of a geometric object, but not its shape.

In this scenario an exercise, we would dilate the coordinates of the pre-image by applying a scale factor of 1/2 that is centered at the origin as follows:

Ordered pair B (-4, 2) → Ordered pair B' (-4 × 1/2, 2 × 1/2) = Ordered pair B' (-2, 1).

In Mathematics and Geometry, a rotation can be defined as a type of transformation which moves every point of the object through a number of degrees around a given point, which can either be clockwise or counterclockwise (anticlockwise) direction;

(x, y)                               →            (y, -x)

Ordered pair B' (-2, 1)   →          E (1, 2)

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Answer:

0

Step-by-step explanation:

To solve this equation, first find out 4y, which equals 16. Then do the full equation, 16-16=0.

Answer:

Let 16-4y=0

Substracting 16 on both sides

16-16-4y=-16

-4y=-16

4y=16

y=4

Rebutting the value of y

=16-4(4)

=16-16

=0

Step-by-step explanation:

I hope this will help you :)

The tree's deviation from the vertical due to wind is 2°. At a distance of 42 meters from the tree's base, the angle of elevation to the top of the tree is 35°. To find the tree's height, we use trigonometry. By setting up and solving the appropriate equation, we can determine that the tree's height is obtained by multiplying the tangent of 88° by 42.

Angle of deviation from the vertical due to prevailing winds: 2°

Distance from the base of the tree: d = 42 meters

Angle of elevation to the top of the tree: a = 35°

To find the height of the tree, we can use trigonometry. Let's denote the height of the tree as h.

Drawing a diagram

Draw a diagram with a vertical line representing the tree, inclined at an angle of 2° from the true vertical. Mark a point 42 meters away from the base of the tree, and draw a line from that point to the top of the tree, forming an angle of 35° with the horizontal.

Setting up the trigonometric equation

In the right-angled triangle formed, the angle between the vertical line and the line connecting the point 42 meters away to the top of the tree is (90° - 2°) = 88°. Using trigonometric ratios, we can set up the following equation:

tan(88°) = h / 42

Solving for the height of the tree

Rearrange the equation to solve for h:

h = tan(88°) * 42

Using a scientific calculator or trigonometric table, find the value of tan(88°) and multiply it by 42 to calculate the height of the tree.

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Answer: C. It illustrates the resistance of the median.

Answer:

s+0

Step-by-step explanation:

h.o mean of f= S =0

H.a mean of F=S >0

App inventor's random integer block test is sufficient for app inventor's prng . but to increase our confidence in app inventor's prng we can do other tests like random fraction test and random set speed test.

The Coin Flip Experiment app allows you to run experiments aimed at determining how "good" the App Inventor PRNGs are. The app allows the user to "flip a coin" her N times and the results are displayed. They should record and count the results and calculate the average head percentage. The expectation of should reach 50% on average as N increases.

To properly test an App Inventor PRNG, you must test both the Random Integer and Random Fraction blocks along with the Random Fraction and Random set speed to blocks. Create dice simulations to get better than 50/50 predictions and reuse dice simulators for all combinations of different App Inventor random blocks. If such a combination yields the same results, then you can be confident that her PRNG in App Inventor provides a good model of randomness from all angles.

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The mean of the given set is 3.54, the median is 4, and the mode is 2, which appears most frequently.

To find the mean, median, and mode of the given set of numbers: 5, 4, 2, 1, 6, 5, 3, 2, 4, 2, 5, 5, 2, we can follow these steps:

Mean:

The mean is calculated by adding up all the numbers in the set and dividing by the total count. Adding up the numbers, we get:

5 + 4 + 2 + 1 + 6 + 5 + 3 + 2 + 4 + 2 + 5 + 5 + 2 = 46

Dividing by the count (13 in this case), we find the mean:

Mean = 46 / 13 = 3.54 (rounded to the hundredth place)

Median:

To find the median, we arrange the numbers in ascending order:

1, 2, 2, 2, 2, 3, 4, 4, 5, 5, 5, 5, 6

The median is the middle number in the set. Since there are 13 numbers, the middle number is the 7th number, which is 4.

Median = 4

Mode:

The mode is the number(s) that appear most frequently in the set. In this case, the number 2 appears most frequently (4 times), making it the mode.

Mode = 2

Therefore, the mean is 3.54, the median is 4, and the mode is 2.

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Answer: C \(\sqrt 15\)

Step-by-step explanation:

Answer:

The base and height of three parallelograms with the same area as the 12 square inches rectangle are

1) First parallelogram;

Base length of parallelogram = 4 units

Height of parallelogram, = 3 units

2) Second parallelogram

Base length of parallelogram = 6 units

Height of parallelogram, = 2 units

3) Third parallelogram

Base length of parallelogram = 5 units

Height of parallelogram, = 2.4 units

Step-by-step explanation:

The vertices of the rectangle are; (0, 0), (4, 0), (4, 3), and (0, 3)

Let ABCD represent the vertices of the rectangle such that we have;

A(0, 0), B(4, 0), C(4, 3), and D(0, 3)

The area of the rectangle, A = The length of AB × The length of CB

The length of AB = √((4 - 0)² + (0 - 0)²) = 4

The length of CB = √((4 - 4)² + (3 - 0)²) = 3

∴ The area of the rectangle, A = 4 × 3 = 12 square units

The area of a parallelogram = Base length × Height

The base and height of three parallelograms with the same area as the 12 square inches rectangle are;

1) Base length of parallelogram = 4 units

Height of parallelogram, = 3 units

The area of the parallelogram, A = Base × Height;

∴ A = 4 units × 3 units = 12 units²

2) Base length of parallelogram = 6 units

Height of parallelogram, = 2 units

The area of the parallelogram, A = Base × Height;

∴ A = 6 units × 2 units = 12 units²

3) Base length of parallelogram = 5 units

Height of parallelogram, = 2.4 units

The area of the parallelogram, A = Base × Height;

∴ A = 5 units × 2.5 units = 12 units².

Only one of the two points, (-2,3), is in the solution set of the system of inequalities y > -x - 2 and y < -5x + 2.

To determine whether the points (-2,3) and (0,-1) are in the solution set of the system of inequalities y > -x - 2 and y < -5x + 2, we need to test each point by plugging in its x and y coordinates into each inequality.

For the point (-2,3): y > -x - 2

3 > -(-2) - 2

3 > 0

y < -5x + 2

3 < -5(-2) + 2

3 < 12

Since 3 is greater than 0 and less than 12, this point is in the solution set of the system of inequalities.

For the point (0,-1):

y > -x - 2

-1 > -0 - 2

-1 > -2

y < -5x + 2

-1 < -5(0) + 2

-1 < 2

Since -1 is not greater than -2 and not less than 2, this point is not in the solution set of the system of inequalities.

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The  statements that are correct  about right triangle QRS are:

A right triangle posses  a right angle which is in opposite direction to the  hypotenuse.

Considering the right angle triangle, it can be deduced that Side opposite ∠Q is RS not RQ,  and  Adjacent side to ∠Q is QS.

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Answer:

48

Step-by-step explanation:

Answer:

$328.52

Step-by-step explanation:

let p = x, t = 6 years and r = 0.07. now the formula is x*e^0.42 = 500. e^0.42 is approx. 1.522. divide 500 by that to get about $328.52

Answer:

A plant receiving water from precipitation is an interaction between the biosphere and the hydrosphere.

Answer:

26 are left-handed

Step-by-step explanation:

Shelly bought three pairs of jeans and sweaters.

A numerical expression is algebraic information stated in the form of numbers and variables that are unknown. Information can is used to generate numerical expressions.

Shelly is given $300 to spend on jeans and sweaters.

Each pair of pants is $65, each sweater is $34, and she purchases seven pieces.

As per the given question, the required solution would be as:

She could buy three pairs of jeans and three sweaters since any more would be insufficient because three pairs of jeans and three sweaters would equal $297.

65 x 3 = 195

34 x 3 = 102

Therefore, Shelly bought three pairs of jeans and sweaters.

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Answer:

4m + 6

Step-by-step explanation:

Since the length is twice as long your equation should look like this

2(2m + 3) = L

which would be 4m + 6 as the length of the rectangle

When a particular machine is functioning properly, if 70% of the items are non-defective, then if seven items are examined, the probability that two are defective is 0.32.

Therefore, the answer is 0.32.

This can be solved by Binomial distribution. The probability that the item is non-defective is p = 0.70. In a sample of size, n = 7 , considering a case where 2 are defective, that is n - x = 2, therefore x = 5.

Therefore the probability that two are defective can be obtained by

P = nCx × p^{x} × (1 - p)^{ⁿ - x}

P = 7C2 × 0.70⁵ × (1 - 0.70)⁽⁷⁻⁵⁾

P = 7!/ (2! × (7 - 2)!) × 0.16807 × 0.09

P ≈ 0.32

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Answer:

21/50

Step-by-step explanation:

Fraction that voted for team A = 7/10

Fraction of those that wear red cap = 3/5 of fraction of team A

Fraction of those that wear red cap = 3/5 of 7/10

Fraction of those that wear red cap = 3/5*7/10

Fraction of those that wear red cap = 21/50

Hence the fraction of people that wear red cap is 21/50

Answer:

a + 1

to get 1 more than a you add 1 to a because you don't know what a is

Answer:

12 x n + 6

Step-by-step explanation:

n = unknown number

Answer:

x = 60 degrees (if x < 90 degrees).

Step-by-step explanation:

secx - 2 = 0

secx = 2

Now sec x = 1/cos x

So,

1/cosx = 2

cos x = 1/2

x = 60 degrees.