Andre is reviewing proportional relationships. He wants to practice using a graph that goes through a point so that each X-coordinate and each Y-coordinate is between 1 and 10.

Answer:

6kg pure copper and 30 kg 10% copper was mixed to give 36kg of 25% alloy

Step-by-step explanation:

Here, we want to produce 36 kg of 25% alloy

Let the Pure copper be x kg while 10% alloy be y kg

Pure copper is simply 100% copper

Thus;

x + y = 36 •••••(i)

Then;

100% of x + 10% of y = 25% of 36

= x + 0.1y = 9 •••••• ii)

From i x = 36-y

from ii, x = 9-0.1y

Equate both x

36-y = 9-0.1y

36-9 = 0.1y + y

0.9y = 27

y = 27/0.9

y = 30

x = 36-y

x = 36-30

x = 6 kg

The percentage of U.S. adults between the ages of 18 and 34 have never been married is 52%.

A percentage is a figure or ratio that may be stated as a fraction of 100 in mathematics. If we need to compute the percentage of a number, divide it by the entire and multiply by 100. As a result, the percentage denotes a part per hundred. The term % refers to one hundred percent. The sign "%" represents it. A percentage is a number that shows us how much of something is out of 100, and it may also be expressed as a decimal or a fraction - three for the price of one! Simply enter the percentage amount in the numerator and 100 in the denominator to convert it to a fraction.

Here,

52% of individuals in the United States between the ages of 18 and 34 have never married.

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The 3 × 3 matrix that translates a point in r 2 by (3, 1) then rotates the result 45 degrees about the origin is

M = | 1/√2    -1/√2    3/√2- 1/√2 |

      | 1/√2    1/√2     1/√2 + 1/√2 |

       | 0           0                1 |

To find the 3x3 matrix that translates a point in R^2 by (3, 1) and then rotates the result 45 degrees about the origin using homogeneous coordinates, we can follow these steps:

Translation Matrix:

The translation matrix for a 2D translation by (3, 1) is:

T = | 1 0 3 |

| 0 1 1 |

| 0 0 1 |

This matrix translates a point (x, y) by adding the translation vector (3, 1) to it.

Rotation Matrix:

The rotation matrix for a 2D rotation by 45 degrees counterclockwise is:

R = | cos(theta) -sin(theta) 0 |

| sin(theta) cos(theta) 0 |

| 0 0 1 |

Since we want to rotate by 45 degrees, theta = 45 degrees = π/4 radians. Therefore, the rotation matrix becomes:

R = | cos(π/4) -sin(π/4) 0 |

| sin(π/4) cos(π/4) 0 |

| 0 0 1 |

Simplifying, we have:

R = | 1/√2 -1/√2 0 |

| 1/√2 1/√2 0 |

| 0 0 1 |

Combine Translation and Rotation:

To obtain the combined transformation matrix, we multiply the translation matrix T by the rotation matrix R:

M = T * R

Performing the matrix multiplication:

M = | 1 0 3 | | 1/√2 -1/√2 0 |

| 0 1 1 | * | 1/√2 1/√2 0 |

| 0 0 1 | | 0 0 1 |

Simplifying, we have:

M = | 1/√2 -1/√2 3/√2 - 1/√2 |

| 1/√2 1/√2 1/√2 + 1/√2 |

| 0 0 1 |

This is the desired 3x3 matrix that translates a point in R^2 by (3, 1) and then rotates the result 45 degrees about the origin using homogeneous coordinates.

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The number has 15 digits in its base 2 representation before tripling, and after tripling, it has 14 digits.

To determine the number of digits in a base 2 number that consists of 15 ones when tripled, we need to calculate the value of the number after tripling it and then determine the number of digits in its base 2 representation. The given number consists of 15 ones, which in base 2 represents the number 111...111, where there are 15 ones.

When we triple this number, we get 111...111 * 3. Multiplying a base 2 number by 3 is equivalent to shifting all the digits to the left by 1 and adding a 0 at the rightmost position. So, the tripled number in base 2 would be 111...1110, where there are 14 ones followed by a 0. Therefore, the number has 15 digits in its base 2 representation before tripling, and after tripling, it has 14 digits.

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Problem 2

We have an isosceles triangle because of the two congruent sides (21 each).

The angles opposite the congruent sides are known as the base angles, and the base angles are congruent. For now, we don't know what they are. They are both x. I recommend writing 'x' onto the diagram where that missing unmarked angle is.

Then we'll use the idea that all three angles of any triangle always add to 180

x+x+38 = 180

2x+38 = 180

2x = 180-38

2x = 142

x = 142/2

x = 71

=======================================================

Problem 3

We use the same ideas as the previous problem. This time the base angles are 56 degrees each. The remaining angle is x.

x+56+56 = 180

x+112 = 180

x = 180-112

x = 68

The volume (V) of the given cylinder with the height 10 mm and the diameter 14 mm is 1538.6 cubic millimeter.

From the given figure, diameter of a cylinder = 14 mm and height = 10 mm.

Here, radius = \(\frac{14}{2}\)

= 7 mm

Volume is the measure of the capacity that an object holds.

Formula to find the volume of the object is Volume = Area of a base × Height.

We know that, the formula to find the volume of a cylinder is \(\pi r^2h\).

Here, the volume of a cylinder = 3.14×7²×10

= 3.14×49×10

= 1538.6 cubic millimeter

Therefore, the volume (V) of the given cylinder with the height 10 mm and the diameter 14 mm is 1538.6 cubic millimeter.

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Answer:

4

Step-by-step explanation:

t = d/r

t = 280/70

t = 4 hours

Answer:oh fudge i did that wrong hold up

Step-by-step explanation i dont know my bad

The distance between the two planes after 4 hours is approximately 150 km.

to find out how far apart the planes are after 4 hours, we can use the concept of vectors.

Let's start by finding the positions of the two planes after 4 hours.

The first plane flies at a speed of 110 km/h in a direction of 280°. To find its position after 4 hours, we can use the formula: distance = speed × time. So, the distance traveled by the first plane is 110 km/h × 4 hours = 440 km.

To determine the position of the first plane, we need to convert the direction (280°) into components. The x-component is given by: cos(280°) × distance = cos(280°) × 440 km. The y-component is given by: sin(280°) × distance = sin(280°) × 440 km.

Similarly, for the second plane, which flies at a speed of 250 km/h in a direction of 200°, the distance traveled after 4 hours is 250 km/h × 4 hours = 1000 km. To determine its position, we need to convert the direction (200°) into components. The x-component is given by: cos(200°) × distance = cos(200°) × 1000 km. The y-component is given by: sin(200°) × distance = sin(200°) × 1000 km.

Now, let's calculate the x and y components for both planes:

For the first plane:
x-component = cos(280°) × 440 km
y-component = sin(280°) × 440 km

For the second plane:
x-component = cos(200°) × 1000 km
y-component = sin(200°) × 1000 km

the distance between the two planes, we can use the distance formula, which is given by: distance = √((x2 - x1)^2 + (y2 - y1)^2), where (x1, y1) and (x2, y2) are the positions of the first and second planes respectively.

Now, substitute the values we calculated into the distance formula:

distance = √((x2 - x1)^2 + (y2 - y1)^2)
distance = √((cos(200°) × 1000 km - cos(280°) × 440 km)^2 + (sin(200°) × 1000 km - sin(280°) × 440 km)^2)

After evaluating the above expression, the distance between the two planes after 4 hours is approximately 150 km.

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To solve this problem, we need to find the x-values where the curve intersects the x-axis, which occurs when y=0.
0=x²-2kx ,We can factor out an x: 0=x(x-2k) .So the x-intercepts are at x=0 and x=2k.

To find the value of k, we need to follow these steps:

Step 1: Find the points of intersection between the curve y = x^2 - 2kx and the x-axis.
To do this, set y = 0:
0 = x^2 - 2kx
x(x - 2k) = 0

This means that the curve intersects the x-axis at x = 0 and x = 2k.

Step 2: Determine the limits of integration.
Since we are looking for the region in the fourth quadrant, we will have limits 0 and 2k for our integration.

Step 3: Calculate the area using integration.
Area = ∫[0 to 2k] (x^2 - 2kx) dx

Step 4: Solve the integral.
Area = [1/3x^3 - kx^2] evaluated from 0 to 2k
Area = (1/3(2k)^3 - k(2k)^2) - (1/3(0)^3 - k(0)^2)
Area = (8k^3/3 - 4k^3)

Step 5: Set the area equal to 36 and solve for k.
36 = 8k^3/3 - 4k^3
36 = (8k^3 - 12k^3)/3
36 = -4k^3/3

Now, multiply both sides by 3 and divide by -4:
-108/-4 = k^3
27 = k^3

Take the cube root of both sides:
k = 3

The value of k is 3 (Option b).

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Answer:

Do you need help with a question??

Answer:

IKR

Step-by-step explanation:

math is pretty hard and that why im failing XD

brainliest plz?!!

Answer:

1000 miles

Step-by-step explanation:

Answer:

16786

Step-by-step explanation:

16786

12143

9643

The ratio to represent the gas mileage of Paige’s car will be 32:1.

From the information, Paige owns a car with a 12-gallon gas tank and her car gets a highway gas mileage of 32 miles per gallon.

Therefore, the ratio to represent the mileage will be 32 miles per gallon. This will be 32:1

Since Paige wants to drive to her sister’s house, which is 162.4 highway miles away from where she lives, the gallons needed will be:

= 162.4/32

= 5.075 gallons.

Since gas costs $3.50 per gallon, the cost will be:

= $3.50 × 5.075

= $17.7625

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A. There is a weak negative linear relationship between Y and X, and there is significant scatter in the data points around a line.

Based on the given information, the sample variance of X is 9, the sample variance of Y is 16, and the covariance of X and Y is -10.

To determine the nature of the relationship between X and Y, we need to consider the covariance and the variances.

Since the covariance is negative (-10), it suggests a negative relationship between X and Y.

This means that as X increases, Y tends to decrease, and vice versa.

Now, let's consider the variances.

The sample variance of X is 9, and the sample variance of Y is 16. Comparing these variances, we can conclude that the scatter in the data points around the line is significant.

Therefore, based on the given information, the correct statement is:

A. There is a weak negative linear relationship between Y and X, and there is significant scatter in the data points around a line.

This option captures the negative relationship between Y and X indicated by the negative covariance, and it acknowledges the significant scatter in the data points around a line, which is reflected by the difference in variances.

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Answer:

x = 20

Step-by-step explanation:

These angles are equal to each other because they are vertical angles.

Hence, we can equal the two measurements together to solve for x:

3x + 50 = 6x - 10

3x + 60 = 6x

60 = 3x

20 = x

Check your work:

3(20) + 50 = 6(20) - 10

60 + 50 = 120 - 10

110 = 110

Correct

Answer:

C

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

Hope this helps :)

Answer:

two hundred ten million, sixty four thousand and fifty

Answer:

3/4

Step-by-step explanation:

thy shalt have the answer

Answer:

Step-by-step explanation:

last one

Answer:

Billy Bob Joe now has 18 jelly beans left

Step-by-step explanation:

Bob initially has 77 jelly beans, Sally initially has 12 jelly beans and Billy Bob Joe initially has 19 jelly beans.

If Bob gives 45 jelly beans to Sally, Bob now has 77 - 45 = 32 jelly beans and Sally now has 12 + 45 = 57 jelly beans.

Sally now gives 29 jelly beans to Billy Bob Joe. Sally now has 57 - 29 = 28 jelly beans and Billy Bob Joe now has 19 + 29 = 48 jelly beans.

If Billy Bob Joe now eats 30 jelly beans, he now has 48 - 30 = 18 jelly beans.

So, after eating 30 jelly beans, Billy Bob Joe now has 18 jelly beans left.

Answer:

18

Step-by-step explanation:

Answer:

Shown below.

Step-by-step explanation:

Test Marks          Tally          Frequency          Percentage

1                                                    8                   8/60 = 0.133

2                                                   6                   6/60 = 0.100

3                                                   5                   5/60 = 0.083

4                                                   5                   5/60 = 0.083

5                                                   5                   5/60 = 0.083

6                                                   8                   8/60 = 0.133

7                                                   6                   6/60 = 0.100

8                                                   7                   7/60 = 0.116

9                                                   4                   4/60 = 0.066

10                                                 5                   5/60 = 0.083

Total                                            59                 59/60 = 0.983

For the Tally section, I believe you just fill in tally marks corresponding to the frequency. One of the observations in the table is 0, which is not a column in the frequency table.

Answer:

This is trapezium.

Area of this figure =1/2h(d1-d2)

1/2×5(14-8)

=30/2

=15cm^2

Let's start by substituting the right-hand side of the equation into the left-hand side:

What does the math equation mean?

Two expressions are combined by the equal sign to form a mathematical statement known as an equation. For instance, a formula might be 3x - 5 = 16. After solving this equation, we learn that the value of the variable x is 7.

4y - 3 = 4(y + 1)

4y - 3 = 4y + 4

Now, we can isolate y by subtracting 4y from both sides:

0 = y + 4

-4 = y

So, there is a solution to the equation: y = -4. This means that Dawson is incorrect in saying that the equation has no solution.

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The solution to the linear system is x₁ = 0, x₂ = -5/4, and x₃ = 3/2.

We start with the augmented matrix:

[1 2 3 | 2]

[-1 2 5 | 5]

[2 1 3 | 9]

First, we eliminate the variable x₁ from the second and third equations by adding the first equation to them:

[1 2 3 | 2]

[0 4 8 | 7]

[0 -3 -3 | 5]

Next, we eliminate the variable x₂ from the third equation by adding 3/4 times the second equation to it:

[1 2 3 | 2]

[0 4 8 | 7]

[0 0 3 | 18/4]

Now, we have the system in row echelon form. We can perform backward substitution to find the values of the variables. Starting from the last equation, we have:

3x₃ = 18/4 -> x₃ = 18/4 / 3 = 3/2

Substituting this value back into the second equation, we have:

4x₂ + 8(3/2) = 7 -> 4x₂ + 12 = 7 -> x₂ = -5/4

Finally, substituting the values of x₂ and x₃ into the first equation, we have:

x₁ + 2(-5/4) + 3(3/2) = 2 -> x₁ - 5/2 + 9/2 = 2 -> x₁ = 0

Therefore, the solution to the linear system is x₁ = 0, x₂ = -5/4, and x₃ = 3/2.

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The distance between two lines measured along a perpendicular line to the line is always the same is called as equidistant .

Given :

The distance between two lines measured along a perpendicular line to the line is always the same.

What is Equidistant ?

Distances between two points from a common points are equal then it is called as equidistant .

Formulas :

Midpoint = ( x1 + x2 / 2 , y1 + y2 / 2 )

Distance = \(\sqrt{(x2 - x1 )^2 - (y2 - y1)^2 }\)

These are two main formulas are used to find whether equidistant or not.

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The number of cupcakes made by each person based on the limiting ingredients are;

Terrance → 6 cupcakes

Duri → 12 cupcakes

Habib → 12 cupcakes

Anika → 12 cupcakes

A limiting factor of a process is one that is used up completely upon completion of the process

The possible missing parts of the question are;

Recipe for making 12 cupcakes;

2 cups of flour

3/4 cups of sugar

2 eggs

3/4 cups of milk

125 g of butter

The ingredients each person has

Terrance; 1 cup of flour + 6 eggs

Duri; 12 cups of flour + 1,000 grams of butter

Habib; 3 cups of milk + 6 cups of sugar

Anika; 1 cup of sugar+ 4 cups of milk

Required;

The number of cupcakes each person can make on their own if each person has enough of the other ingredients.

Solution;

The question is with regards to the limiting variable or factor to making of the cakes

Terrance;

2 cups of flour bakes 12 cupcakes;

The number of cupcakes the 1 cup of flour Terrance has can bake is therefore;

(2 cups of flour)/2 = 1 cup of flour

(2 cups of flour)/2 bakes (12 cupcakes)/2 or 6 cupcakes

1 cup of flour bakes 6 cupcakes

Duri;

Duri has both more than the required number of cups of flour and grams of butter to make 12 cupcakes, therefore;

The number of cupcakes Duri can make given that he only has sufficient amounts of the other ingredients to make 12 cupcakes is therefore;

Habib;

Habib also has more than the required amount of milk and sugar, but is limited by the other ingredients of which he only has enough to make 12 cupcakes, therefore;

Anika;

Anika also has more than the prerequisite amounts of sugar and milk to make 12 cupcakes, therefore;

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Answer:

3 necklaces

Step-by-step explanation:

$40.50-$30.00=$10.50   Subtract her total money and cost of dress

$10.50-$3.50=$6.00  subtract each necklace price from remaining money

$6.00-$3.50=$3.50 keep subtracting price of necklace

$3.50-$3.50=$0  that was 3 necklaces

The values of p and q are 3 and 2.

Given:

The equation of the graph is y = pq^x where p and q are positive constants.

From the graph:

curve linear course points are:

(0,3) and (1,6)

substitute points in y = pq^x

3 = pq^0

3 = p*1

p = 3

y = pq^x

6 = pq^1

6 = p*q

6 = 3*q

divide by 3 on both sides

6/3 = 1

q = 2

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Given:

Kim picked 250 pounds of pears yesterday and 287 pounds of pears today.

To find:

The percentage increase of  amount of pears picked by Kim.

Solution:

We know that,

\(\%\text{ increase}=\dfrac{\text{New value - Initial value}}{\text{Initial value}}\times 100\)

\(\%\text{ increase}=\dfrac{287-250}{250}\times 100\)

\(\%\text{ increase}=\dfrac{37}{25}\times 10\)

\(\%\text{ increase}=\dfrac{370}{25}\)

\(\%\text{ increase}=14.8\)

Therefore, the percentage increase of  amount of pears picked by Kim is 14.8%.