2x + 5y = 24
x + 4y = 15
If (x,y) satisfies the system of equations above,
what is the value of x +y?
A) 7
B) 8
C) 9
D) 10

Answer:

Look Below

Step-by-step explanation:

The formula for a circle is πr².

Therefore, we can divide the area of the circle by 3.14, and then square root it. 490.63/3.14=156.25... If you square root that, you get 12.5. Same thing with the other circle. 219.45/3.14=69.888... If you square root that, you get 8.36. Now that we have the radius, we can multiply that by two to find the diameter. And we're done.

Feel free to tell me if I did anything wrong! :)

Answer:

-10

Step-by-step explanation:

We can figure out that the number line is by four.

How?

There is one line between 10 and 2. Sooo:

10 - 2 = 8

8 / 2 = 4

If we check it (10 - 4 - 4 = 2) it checks out!

Using this information we can figure out what the blue dot is.

2 (given) - 4 (incriments of number line) - 4 - 4 = - 10

There is our answer, -10!

Answer: 5

Step-by-step explanation:

ker(7) is spanned by the vector [(-1, -1, 1, 0, 0)], range(7) is spanned by the vector [1 2 3 4 0], dim(ker(7)) = 1, dim(range(7)) = 1.

To find the kernel (ker(7)), range (range(7)), dimension of the kernel (dim(ker(7))), and dimension of the range (dim(range(7))), we need to perform calculations based on the given linear transformation.

First, let's write out the matrix representation of the linear transformation T: R⁵ → R² defined by 7(x) = Ax, where A is given as:

A = [1 2 3 4 0; 1 -1 2 -3 0]

To find the kernel (ker(7)), we need to solve the equation 7(x) = 0. This is equivalent to finding the nullspace of the matrix A.

[A | 0] = [1 2 3 4 0 0; 1 -1 2 -3 0 0]

Performing row reduction:

[R2 = R2 - R1]

[1 2 3 4 0 0]

[0 -3 -1 -7 0 0]

[R2 = R2 / -3]

[1 2 3 4 0 0]

[0 1 1 7 0 0]

[R1 = R1 - 2R2]

[1 0 1 -10 0 0]

[0 1 1 7 0 0]

The row-reduced echelon form of the augmented matrix is:

[1 0 1 -10 0 0]

[0 1 1 7 0 0]

From this, we can see that the system of equations is:

x1 + x3 - 10x4 = 0

x2 + x3 + 7x4 = 0

Expressing the solutions in parametric form:

x1 = -x3 + 10x4

x2 = -x3 - 7x4

x3 = x3

x4 = x4

x5 = free

Therefore, the kernel (ker(7)) is spanned by the vector [(-1, -1, 1, 0, 0)]. The dimension of the kernel (dim(ker(7))) is 1.

The matrix A has two columns:

[1 2; 1 -1; 2 -3; 3 0; 4 0]

We can see that the second column is a linear combination of the first column:

2 * (1 2 3 4 0) - 3 * (1 -1 2 -3 0) = (2 -6 0 0 0)

Therefore, the range (range(7)) is spanned by the vector [1 2 3 4 0]. The dimension of the range (dim(range(7))) is 1.

In summary:

ker(7) is spanned by the vector [(-1, -1, 1, 0, 0)].

range(7) is spanned by the vector [1 2 3 4 0].

dim(ker(7)) = 1.

dim(range(7)) = 1.

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Ответ:​

Объяснение:

Probability of an event happening = Number of ways it can happen / Total number of outcomes

Number of ways it can happen: 1 (there is only 1 group with french team in it)

Total number of outcomes: 4 (there are 4 groups)

So the probability = 1/4

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

Вероятность возникновения события = Количество способов которыми это может произойти / Общее количество исходов

Количество способов которыми это может произойти: 1 (есть только 1 группа с французской командой в ней)

Общее количество исходов: 4 (есть 4 группы)

Таким образом вероятность = 1/4

Я надеюсь, что это было полезно ^^

Answer:

NP=PQ

Step-by-step explanation:

p is MIDpoint of NQ so basically distance of N to P is equal to distance of P to Q

The relationship between NP and PQ if point P is the midpoint of NQ is:

- NP + PQ = NQ

- 1/2 x NQ = NP = PQ  

Given,

P is the midpoint of NQ.

We need to find the relationship between NP and PQ if point P is the midpoint of NQ

The midpoint between two points in a line always divides the line into two equal parts.

The sum of the divided parts is always equal to the original line.

Half of the original line is equal to each part.

Example:

A_____B_____C

B is the midpoint.

We have,

AC = AB + BC

1/2 x AC = AB = BC

We have,

P is the midpoint of NQ

Now,

N______P______Q

Since P is the midpoint we can say that,

NP + PQ = NQ

And,

1/2 x NQ = NP = PQ  

Thus the relationship between NP and PQ if point P is the midpoint of NQ is:

- NP + PQ = NQ

- 1/2 x NQ = NP = PQ  

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The area of the pyramid is 517.28 m²

To calculate the surface area of a triangular pyramid, we need to find the area of each face and sum them up.

The base of the pyramid is a triangle, so its area can be calculated using the formula: A = 1/2 x base area x height.

In this case, the base side is 12.2 m and the height is 10.6 m.

Therefore, the area of the base is:

Area = 1/2 x 10.6 x 12.2 = 64.66 m²

So, the area of the pyramid =

A = 1/2 x 64.66 x 16

A = 517.28 m²

Hence the area of the pyramid is 517.28 m²

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Answer:

7 seconds

Step-by-step explanation:

Hello There!

I had created a graph to make it easier to understand

So when y = 0 is when the ball is at the ground

when y = 0 x = 7 so it took about 7 seconds for the ball to hit the ground

Answer:

7

Step-by-step explanation:

Answer:

0 times

Step-by-step explanation:

Answer:

d=5.4

Step-by-step explanation:

Use the distance formula: \(\sqrt{(x_{2} -x_{1})^2+(y_{2} -y_{1})^2\)

(x1,y1)= (1,1)

(x2,y2)=(6,3)

\(\sqrt{(6-1)^2+(3-1)^2}=\sqrt{25+4}=\sqrt{29}=5.4\)

Answer: 0.129 kg

Step-by-step explanation:

A gram to a kilogram can be found by dividing the value of grams by 1000, or multiplying the value by 0.001

Answer:

No solutions

Step-by-step explanation:

3x+2y-5y=0

3x-3y=0

x=y+10

3(y+10)-3y=0  ==> plugin y+10 for x

3*y + 3*10 - 3y = 0 ==> distribute 3 to y and 10

3y + 30 - 3y = 0

3y - 3y + 30 = 0

30 \(\neq\) 0    

3(y+10)-3y \(\neq\) 0

3(y+10)-3y \(\neq\) 3x-3y  ==> 3x-3y=0

Hence, there are no solutions.

The graph represents the solution set of a linear equation. In order to determine the specific equation, we need more information or context about the graph itself.

Linear equations are typically represented by straight lines on a coordinate plane. The equation of a straight line can be written in the form y = mx + b, where m is the slope of the line and b is the y-intercept. By examining the graph and identifying two distinct points on the line, we can calculate the slope and determine the equation of the line. The slope is calculated as the change in y divided by the change in x between the two points. Once the slope is determined, we can substitute the slope and one of the points into the equation y = mx + b to find the value of b. Therefore, without additional information about the graph or equation, it is not possible to generate a specific answer regarding the equation represented by the graph.

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The magnitude of vector v is 4 and the direction is 125 degrees.

Given that vector u has a magnitude of 2 and a direction of 55 degrees, we can determine the magnitude and direction of vector v.

To find the magnitude of vector v, we can use the equation:

|v| = |-2u|

Since u has a magnitude of 2, we can substitute it into the equation:

|v| = |-2 * 2|

|v| = |-4|

|v| = 4

The magnitude of vector v is 4.

To find the direction of vector v, we can note that multiplying a vector by -1 (in this case, multiplying u by -2) reverses its direction. So the direction of v is the exact opposite of the direction of u.

Since the direction of u is 55 degrees, the direction of v is 55 degrees in the opposite direction. In the interval of 0 degrees ≤ θ < 360 degrees, the direction of v can be expressed as:

θ = 180 - 55

θ = 125 degrees

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Answer:

{(-8, -7), (4,-2), (2,9),(-8,8)}

The correct answer is c. Line graphs show the change in one or more variables progressively across time.

Histograms show the distribution of data, pie charts show the proportions of a whole, bar charts compare categories or groups, and diagrams show the relationships between different elements.

The correct answer is c. Line graphs show the change in one or more variables progressively across time

A histogram is a visual depiction of data distribution in statistics. The histogram is shown as a collection of neighbouring rectangles, where each bar represents a certain type of data. Numerous fields use statistics, which is a branch of mathematics. Frequency, which can be expressed as a table and is known as a frequency distribution, is the repeating of numbers in statistical data.

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Line graphs show the change in one or more variables progressively across time. C

A line graph is a type of chart that displays data as a series of data points connected by straight lines.

The horizontal axis of the graph typically represents time, while the vertical axis represents the value of the variable being measured.

By connecting the data points with lines, a line graph can show the trend or pattern of change in the variable over time.

Line graphs are commonly used in fields such as economics, finance, and science to visualize trends in data over time.

They can be used to identify patterns, compare different variables, or forecast future trends.

In contrast, histograms, pie charts, bar charts, and diagrams are different types of charts that are used to display data in different ways.

Histograms are used to show the distribution of data within a single variable, while pie charts and bar charts are used to compare different categories or groups of data.

Diagrams are used to represent complex systems or relationships, often using visual symbols or icons to represent different components.

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Answer:

40 percent. Hope this helps : )

Step-by-step explanation:

Answer:

40%

Step-by-step explanation:

to change a fraction to a percentage, multiply the fraction by 100)

\(\frac{2}{5}\) × 100% ( cancel 5 and 100 by 5 )

= 2 × 20%

= 40%

It is more likely that Ryan planted a yellow bulb and then a white bulb than planted a red bulb and then another red bulb. The probability of planting a yellow bulb and then a white bulb is 0.3905, which is higher than the probability of planting two red bulbs in a row, which is 0.345.

How to solve probability?

To determine which scenario is more likely, we need to calculate the probability of each outcome. Let's start by calculating the probability of planting two red bulbs in a row.

The probability of selecting a red bulb from the first bag is 8/20, from the second bag is 11/20, and from the third bag is 2/20. Thus, the probability of selecting two red bulbs in a row is:

(8/20) * (11/20) + (8/20) * (2/20) + (11/20) * (2/20) = 0.345

Now, let's calculate the probability of planting a yellow bulb and then a white bulb.

The probability of selecting a yellow bulb from the first bag is 7/20, from the second bag is 3/20, and from the third bag is 13/20. The probability of selecting a white bulb from the first bag is 5/20, from the second bag is 6/20, and from the third bag is 5/20. Thus, the probability of selecting a yellow bulb and then a white bulb is:

(7/20) * (5/20) + (7/20) * (6/20) + (3/20) * (5/20) + (3/20) * (6/20) + (13/20) * (5/20) + (13/20) * (6/20) = 0.3905

Therefore, it is more likely that Ryan planted a yellow bulb and then a white bulb than planted a red bulb and then another red bulb. The probability of planting a yellow bulb and then a white bulb is 0.3905, which is higher than the probability of planting two red bulbs in a row, which is 0.345.

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Answer:

1

3

130

Step-by-step explanation:

as shown on the lines, it takes the bird one second to fly 13 meters. the answer to the first blank is 1

using this ratio, 13 meters per second, we can find how long it takes for the bird to fly 39 meters.

13/1=39/x

this is 13x=39

x=3 seconds

use the same ratio to find distance

13/1=x/10

13=x/10

130=x

Answer:

Option a 340 cm²

Area= bxh

20x17=340 cm²

An exponential equation that is equal to x = 8 can be expressed as 2^3 = 8.

In an exponential equation, the base raised to the exponent equals the value of x. To create an exponential equation equal to x = 8, we need to determine the base and exponent.

In this case, the base is 2, and the exponent is 3. When we raise 2 to the power of 3 (2^3), we get 8. Therefore, the exponential equation 2^3 = 8 is equivalent to x = 8.

In the equation 2^3 = 8, the base 2 represents the factor by which x is being multiplied, and the exponent 3 represents the number of times the base is multiplied by itself. When we evaluate this equation, we find that 2^3 equals 8, which satisfies the condition x = 8.

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It should be noted that the value that is equal to the expression 6c²d/2d is 3c².

it is important to note that an expression is simply used to show the relationship between the variables that are provided or the data given regarding an information.

In this case, it is vital to note that they have at least two terms which have to be related by through an operator. Some of the mathematical operations that are illustrated in this case include addition, subtraction, etc.

6c²d/2d = (6/2) * (c²d/d)

= 3 * c²

= 3c²

Therefore, the simplified expression is 3c².

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Answer:

\( \boxed{ \bold {\huge{ \text{30 \: cm}}}}\)

Step-by-step explanation:

\( \star{ \sf{ \underline{ \: \: Given}}}\)

Area of a rectangle ( A ) = 36 cm²

Width of a rectangle ( w ) = 3 cm

\( \star{ \sf{ \underline{ \: \: To \: Find}}}\) :

Perimeter of a rectangle ( P ) = ?

First, finding the length of a rectangle ( l ) :

\( \boxed{\text{area \: of \: a \: rectangle = length ∗ width}}\)

\( \dashrightarrow{ \sf{36 = length \times 3}}\)

\( \dashrightarrow{ \sf{36 = 3 \: length}}\)

\( \dashrightarrow{ \sf{3 \: length = 36}}\)

\( \dashrightarrow{ \sf{ \frac{3 \: length}{3} = \frac{36}{3} }}\)

\( \dashrightarrow{ \sf{length = 12 \: cm}}\)

Length of a rectangle = 12 cm

Now, finding the perimeter of a rectangle having length of 12 cm and width of 3 cm

\( \boxed{ \text{perimeter \: of \: a \: rectangle = 2(l + w)}}\)

\( { \sf{perimeter \: of \: a \: rectangle = 2(12 + 3)}}\)

\( \dashrightarrow{ \sf{perimeter \: of \: rectangle = 2 \times 15}}\)

\( \dashrightarrow{ \sf{perimeter \: of \: rectangle = 30 \: cm}}\)

Perimeter of a rectangle = 30 cm

Hope I helped!

Best regards! :D

These are the solutions to the quadratic equation p^2 + 2p^2 - 5 * 2p + 5 = 0.

To solve the quadratic equation p^2 + 2p^2 - 5 * 2p + 5 = 0, we need to simplify and rearrange the equation to its standard form and then solve for p.

Combining like terms, the equation becomes:

3p^2 - 10p + 5 = 0

Now, we can use the quadratic formula to solve for p. The quadratic formula states:

p = (-b ± √(b^2 - 4ac)) / (2a)

For our equation, a = 3, b = -10, and c = 5. Substituting these values into the quadratic formula, we have:

p = (-(-10) ± √((-10)^2 - 4 * 3 * 5)) / (2 * 3)

Simplifying further:

p = (10 ± √(100 - 60)) / 6

p = (10 ± √40) / 6

p = (10 ± 2√10) / 6

Now, we can simplify and find the two possible values of p:

p₁ = (10 + 2√10) / 6

p₂ = (10 - 2√10) / 6

These are the solutions to the quadratic equation p^2 + 2p^2 - 5 * 2p + 5 = 0.

In simplified form, the solutions are:

p₁ = (5 + √10) / 3

p₂ = (5 - √10) / 3

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The answer to the following algebra is;

b² at b = 4 is 16

y /5 at y = 15 is 3

27/s at s = 9 is 3

q/3 + 4 at q = 3 is 5

Algebra is the system for computation using letters or other symbols to represent numbers, with rules for manipulating these symbols.

Given the following:

b² at b = 4

substitute b = 4

= 4²

= 4 × 4

= 16

y /5 at y = 15

substitute y = 15

= 15/5

= 3

27/s at s = 9

substitute s = 9

= 27/9

= 3

q/3 + 4 at q = 3

substitute q = 3

= 3/3 + 4

= 1 + 4

= 5

In conclusion, the algebraic expression is solved by substituting the value of the variables.

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The theorem that shows that TUV ≅ WVU is law of congruent triangles

If two triangles have the same size and shape they are called congruent triangles. If we flip, turn or rotate one of two congruent triangles they are still congruent. If the sides of two triangles are the same then the triangles must have the same angles and therefore must be congruent.

Therefore two triangles are said to be congruent if the three sides and the three angles of both the angles are equal in any orientation.

from the shape,

Since line UW = VT and Line UV is common to both ∆TUV and ∆WUV, then TU = VW

Therefore ∆TUV and ∆WUV are congruent.

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Answer:

3² = 9

Step-by-step explanation:

45 =  3² × 5

81  = 3⁴

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

HCF = 3²

Answer: O: 252

Step-by-step explanation:

Theoretically, all of the letters would've been drawn 250 times as that is the theoretical possibility. The closest number to the theoretical number in this experiment would be 252 which belongs to O