for his art project, dorian is using square tiles

Answer:

2 ; 10

Step-by-step explanation:

a + B = 12

a - B = 8

a = 12 - B

(12 - B) - B = 8

a = 12 - B

12 - 2B = 8

B = 2

A = 10

Answer:

original box wasn't given... atleast send original surface area..

Step-by-step explanation:

^^^^^^!!!!!!!!!!^^^^^^

On solving the provided question we can say that - volume of 1 ball = V = 4/3 \(\pi r^3\\\) and volume of 8 balls = 40928.196

The geometric equivalent of a two-dimensional circle in three dimensions is a sphere. In 3D space, a sphere is a collection of points that are all located at the same r distance from a single point. The sphere's radius is denoted by r, and its center is the provided location. In geometry, a sphere is the collection of all points that are the same radius (distance) away from a certain point (center) in three dimensions, or the outcome of rotating a circle by one of its diameters. The parts and characteristics of a sphere resemble a circle's.

given,

radius of sphere = 10.7

volume of 1 ball = V = 4/3 \(\pi r^3\\\)

V= 4/3 X 3.14 X (10.7)  X (10.7) X (10.7)

V= 5116.0245

volume of 8 balls = 40928.196

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Answer:

Step-by-step explanation:

The given relations let you formulate two equations in the two unknown values. These can be solved by any of the usual methods.

__

Let x represent the caloric content of a cheeseburger, and y the caloric content of a small order of fries. The problem statement tells us ...

  2x +y = 1320

  3x +2y = 2170

__

Subtracting the second equation from twice the first gives ...

  2(2x +y) -(3x +2y) = 2(1320) -(2170)

  x = 470

Using the first equation, we can find y:

  y = 1320 -2x = 1320 -2(470) = 380

__

A cheeseburger has 470 calories; a small order of fries, 380 calories.

_____

Attached is a graphing calculator solution.

Answer:

12 miles

Step-by-step explanation:

Total miles = Length of trail ×

Number of times she rode

Total miles = 3 miles × 4 times

Total miles = 12 miles

Mika traveled a total of 12 miles.

Answer:

Shortest distance = 23/24

Farthest distance = 3 17/24 miles

Step-by-step explanation:

Distance of home from school = 2 1/3 miles

Distance of shop from school = 1 3/8 miles

Shortest distance possible :

(2 1/3 - 1 3/8) miles

(7/3 - 11/8) miles

L. C. M = 24

(56 - 33) / 24

23 / 24 miles

The farthest distance :

(2 1/3 + 1 3/8) miles

(7/3 + 11/8) miles

L. C. M = 24

(56 + 33) / 24

89 / 24

= 3 17/24 miles

Answer:

3x-3+x

Step-by-step explanation:

3x-3 because of Joey's amount and +x for bob's amounts. I can't give total answer until I am given total amount of cheetos.

Answer:

Step-by-step explanation:

Bob's cheetos = x

Joey has  3x -5

together they have

x +  3x - 5

answer  =   4x - 5

The probability that if a random person is chosen from the group of lawyers, the person will be a liar is 38/45, or 0.84.

As a fraction: The probability is given as 38/45, which means that out of 45 people chosen randomly from the group of lawyers, 38 of them are expected to be liars.

As a decimal: To express the probability as a decimal, we divide the numerator (38) by the denominator (45):

38 ÷ 45 ≈ 0.8444444444444444

Rounded to two decimal places, this would be approximately 0.84.

As a percentage: To express the probability as a percentage, we multiply the decimal form by 100:

0.8444444444444444 * 100 ≈ 84.44%

Rounded to two decimal places, this would also be approximately 84.44%.

So, the probability that if a random person is chosen from the group of lawyers, the person will be a liar can be expressed as 38/45 as a fraction, approximately 0.84 as a decimal, or approximately 84.44% as a percentage.

This can be expressed as a fraction, decimal, or percentage, whichever is more helpful.

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Another estimate is given as L6, R6, and M3 using the velocities at the conclusion of the time periods.

The table provides speedometer readings of velocity for a moving vehicle at 7-second intervals. t (sec) v (ft/s) 0 7 14 21 28 Using the speeds at the start of the time intervals, calculate the distance the car went during this 35-second span. travel distance in feet

Just figure out the rectangles' surface areas. Always draw the picture; it will be really helpful.

L6 = 10(0+9+31+56+71+68) \sR6 = 10(9+31+56+71+68+50) \sM3 = 20(9+56+68)

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Yes, we can indeed support the claim that at 0.01 level of significance, the  mean completion time has decreased under new management because  the calculated t-value (-2.64) is less than the critical value (-2.492), hence we reject the null hypothesis that says the mean completion time has not decreased

The p-value is 0.005

There is need to perform a one sample t-test at 0.01 level of significance to test the claim.

The null hypothesis is that the mean completion time has not changed

Alternate hypothesis is that the mean completion time has decreased

The test statistic is given by:

t = (x - μ) / (s / √(n))

where x is the sample mean

μ is the population mean

s is the sample standard deviation

n is the sample size.

by substituting for the the given values, we have;

t = (14.2 - 14.7) / (1.7 / √(80))

t = -2.64

Using a t-distribution table with 79 degrees of freedom (n-1),

the critical value for a one-tailed test with a significance level of 0.01 is -2.492.

Since the calculated t-value (-2.64) is less than the critical value (-2.492), we reject the null hypothesis  and consider the alternative hypothesis as valid.

Therefore, there is sufficient evidence to support the claim that the mean completion time has decreased under new management.

To get the p-value, we can use a t-distribution table.

The p-value for a one-tailed test when df is 79 and calculated t-value is -2.64 is approximately 0.005.

Therefore, the p-value is 0.005 (rounded to at least 3 decimal places).

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The answer is option (C), that is, the events of rolling a fair die two times are independent. The events are neither disjoint nor exclusive.

When rolling a fair die two times, one can get any one of the 36 possible outcomes equally likely. Let A be the event of obtaining an even number on the first roll and let B be the event of getting a number greater than 3 on the second roll. Let’s see how the outcomes of A and B are related:

There are three even numbers on the die, i.e. A={2, 4, 6}. There are four numbers greater than 3 on the die, i.e. B={4, 5, 6}. So the intersection of A and B is the set {4, 6}, which is not empty. Thus, the events A and B are not disjoint. So option (A) is incorrect.

There is only one outcome that belongs to both A and B, i.e. the outcome of 6. Since there are 36 equally likely outcomes, the probability of the outcome 6 is 1/36. Now, if we know that the outcome of the first roll is an even number, does it affect the probability of getting a number greater than 3 on the second roll? Clearly not, since A∩B = {4, 6} and P(B|A) = P(A∩B)/P(A) = (2/36)/(18/36) = 1/9 = P(B). So the events A and B are independent. Thus, option (C) is correct. Neither option (A) nor option (C) can be correct, so we can eliminate options (D) and (E).

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Mr. Miller should clarify the difference between length and width and how they relate to the dimensions of a rectangular prism. He could use visual aids or examples to help his students understand the concept better.

Mr. Miller should:

1. Explain to his students that the terms length, width, and height in the formula for the volume of rectangular prisms can represent any of the three dimensions, as long as they are consistent throughout the calculation.
2. Remind his students that the volume of a rectangular prism can be calculated by multiplying its three dimensions (length, width, and height) together, regardless of the order.
3. Encourage his students to focus on understanding the concept of volume and how it relates to the dimensions of rectangular prisms, rather than getting caught up in the specific labels of the dimensions.

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Approximately 2.28% of the bottles would be expected to have less than 58 ounces.

To determine the proportion (or percentage) of bottles expected to have less than 58 ounces, we need to calculate the z-score and then use the standard normal distribution table.

First, let's calculate the z-score using the formula:

z = (x - μ) / σ

where:

z = (58 - 64) / 3 = -2

Next, we need to find the corresponding area under the standard normal curve for a z-score of -2.

By referring to a standard normal distribution table or using a calculator, we can find that the area to the left of -2 is approximately 0.0228.

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Answer:

a = 35

Step-by-step explanation:

\(a^2+b^2=c^2\\a^2+12^2=37^2\\a^2+144=1369\\a^2=1225\\a=35\)

10^7 = 10,000,000

9.7x10^7 = 9.7x10,000,000

9.7x10,000,000 = 97,000,000

8.7x10^5 = 870,000

870,000x25 = 21,750,000

1. 21,750,000 new people are added after 25 years

2. The total population after 25 years is 118,750,000

Answer:

2.10975E17

Step-by-step explanation:

8.7×10^5

×25

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

2,175,000,000

×9.7×10^7

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

2.10975E17

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

As the line is staright without changes the velocity is constant, it is coming closer to the origin since the distance is decreasing as the time increases.

Answer:

the answer is c

Step-by-step explanation:

its just c

Answer: \(y-0=-3.5(x--3)\)

Step-by-step explanation: You are going to need to do point slope.

\(\frac{-3-0.5}{0-0} = -3.5\)

\(y-0=-3.5(x--3)\)  

\(y=-3.5x+10.5\)

Therefore, there are 4 vertices in this graph.

Let V be the number of vertices in the graph. The sum of the degrees of all vertices in an undirected graph is twice the number of edges, so in this case, the sum of degrees is 2 * 10 = 20.

We know that two vertices have degree 4, so the degrees of the remaining vertices must add up to 20 - 2 * 4 = 12.

If there are v vertices of degree 3, then the total degree contributed by those vertices is 3v, so we have:

3v + 2 * 4 = 20

3v = 12

v = 4

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Answer:

2x+y=20 and -5y=6x+12 are your equations.

You can turn 2x+y=20 into y=-2x+20

Substitute this value of y into the other equation.

-5(-2x+20)=-6x+12

10x-100=-6x+12

16x=112

x=7

Substitute this value of x into the other equation.

2(7)+y=20

y=6

Your answer is x=7 and y=6.

Step-by-step explanation:

as the usual you can see that cd is multiplication and the square is subtracted so let's get it

=cd-c^2

=5*8-5^2

As Bodmas rule We will solve as the rule Fisrt

Bracket, object, Division ,multiplication, addistion and subtraction so

= 40-25

=15

Thanks in Advance

Nahom Wondale

Answer:

x+3(7)=the answer

21=x

Step-by-step explanation:

The slope of the tangent line to the curve at the point (1, 2) is -3/5.

A line's slope is a number that describes its steepness and direction. It is calculated by dividing the vertical change by the horizontal change between any two points on a straight line.

To find the slope of the tangent line to the curve at the point (1, 2), we need to first find the derivative of the curve with respect to x and evaluate it at x = 1 and y = 2.

Taking the partial derivative of both sides of the equation with respect to x, we get:

3x² + 10xy + 5x² dy/dx + 4y - 4dy/dx = 0

Simplifying this expression and solving for dy/dx, we get:

dy/dx = (4 - 13x² - 10xy) / (10x + 5x²)

To find the slope of the tangent line at the point (1, 2), we substitute x = 1 and y = 2 into this expression:

dy/dx = (4 - 13(1)² - 10(1)(2)) / (10(1) + 5(1)²) = -3/5

Therefore, the slope of the tangent line to the curve at the point (1, 2) is -3/5.

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If ∠EDH is congruent (∅≅) to ∠EDG in circle D, it means that the two angles have the same measure. Therefore, the measure of ∠EDH is equal to the measure of ∠EDG.

Since no specific angle measurement is provided in the question, I cannot determine the exact measure from the given options (114°, 123°, 228°, 246°). However, if ∠EDH ≅ ∠EDG, then they must have the same measure, which is unknown in this context.

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Solution

We want to find the area of the triangle given te sides

b = 20

a = 29

c = 21

Note: Hero formula for calculating the Area of a Triangle

We will first find S

To find the Area

Therefore, the area is

As a result, the equation ((2w + 9) + ((4 - 3w) = 0) has no answer.

The term "radical" is used to represent the square root or nth elements. Expression with a square base is referred to as a radical expression. Radicand: A value or phrase contained within the radical sign. Equation with radical formulas and factors as radicands is referred to as a radical equation.

√(2w + 9) + √(4 - 3w) = 0

We need to isolate the variable w.

First, we can move the second term to the other side of the equation by subtracting it from both sides:

√(2w + 9) = -√(4 - 3w)

Next, we can square both sides of the equation to eliminate the square roots:

(√(2w + 9))^2 = (-√(4 - 3w))^2

2w + 9 = 4 - 3w

Now, we can simplify and solve for w:

5w = -5

w = -1

In this case, when w = -1, both square roots are defined, and we can substitute this value back into the original equation to verify:

√(2(-1) + 9) + √(4 - 3(-1)) = √7 + √7 = 2√7

Since 2√7 is not equal to 0, our solution is not valid.

Therefore, there is no solution to the equation √(2w + 9) + √(4 - 3w) = 0.

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Answer:

We need to see the image

Step-by-step explanation:

Show us the image so we can help you :)

By running the script or calling the function with different values of x, y, and R, you can simulate the behavior of the given function and determine its output based on the conditions specified.

Here's a MATLAB code snippet that simulates the function M(x, y):

function result = M(x, y, R)

   if x^2 + y^2 <= R^2

       result = 1;

   else

       result = 0;

   end

end

To use this function, you can call it with the values of x, y, and R and it will return the corresponding result based on the conditions specified in the function.

For example, let's say you want to evaluate M for x = 3, y = 4, and R = 5. You can do the following:

x = 3;

y = 4;

R = 5;

result = M(x, y, R);

disp(result);

The output will be 1 since x^2 + y^2 = 3^2 + 4^2 = 25, which is less than or equal to R^2 = 5^2 = 25.

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Answer:

x=1

Step-by-step explanation:

The radius of a circle is half of the diameter.

Because we know this, we can multiply the radius by 2 to equal the diameter:

4*2=3x+5

Then we solve for x:

8=3x+5

3=3x

x=1