Buatlah soal Matematika bebas, isian, 10 saja, dengan isinya​

Answer:

Q = 35

Step-by-step explanation:

1. You add both (m)x values and y values making them equal to 180 creating a 2 step-equation: (7x+2) + (10x-31) making that 17x-33= 180

2. Now you have a 2 step-equation to solve: 17x-33 = 180-33=147

                                                                                  +-33  +-33

                                                                                 __________

                                                                              17x = 147/17=21

                                                                               /17     /17

3. From here with 21, knowing the kite must equal to 180, you add 21 to the other angle 124: 124+21=145

4. Seeing that you don't have a total of 180, you now subtract 145 from 180 in order to get the value of Q: 180-145= 35

Q= 35

Step-by-step explanation:

7x + 2 = 10x - 31

33 = 3x

x = 11

so, 7x + 2 = 7( 11 ) +2 = 79°

10x - 31 = 10( 11 ) - 31 = 79°

ΔP + ΔQ + ΔR + ΔS = 360°

79° + ΔQ + 79° + 124° = 360°

ΔQ + 282° = 360°

ΔQ = 360° - 282°

ΔQ = 78°

Step-by-step explanation:

Given,

\(9 {x}^{2} + 13x - 15\)

and

\(x = 2\)

Substitute x = 2 into expression.

\(9 {x}^{2} + 13x - 15 = 9( {2}^{2} ) + 13(2) - 15 \\ = 9(4) + 26 - 15 \\ = 36 + 26 - 15 \\ = 62 - 15 \\ = 47\)

Answer:

9(2)×2+13(2)-15

18×2+26-15

36+11

47 is your answer ☺️☺️☺️

well, since the y-intercept is at -5, or namely when the line hits the y-axis is at -5, that's when x = 0, so the point is really (0 , -5), and we also know another point on the line, that is (-1 ,6), to get the equation of any straight line, we simply need two points off of it, so let's use those two

\(\stackrel{y-intercept}{(\stackrel{x_1}{0}~,~\stackrel{y_1}{-5})}\qquad (\stackrel{x_2}{-1}~,~\stackrel{y_2}{6}) \\\\\\ \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{6}-\stackrel{y1}{(-5)}}}{\underset{run} {\underset{x_2}{-1}-\underset{x_1}{0}}} \implies \cfrac{6 +5}{-1} \implies \cfrac{ 11 }{ -1 } \implies - 11\)

\(\begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{(-5)}=\stackrel{m}{- 11}(x-\stackrel{x_1}{0}) \implies y +5 = - 11 ( x -0) \\\\\\ y+5=-11x\implies {\Large \begin{array}{llll} y=-11x-5 \end{array}}\)

Answer:

y ≤ 5

Step-by-step explanation:

5 is the max value and the lowest is negative infinity so y is less than or equal to 5

The equation of the curve that passes through the point (0, 1) and has a slope of 5xy at any point (x, y) is y = (5/2) * x^2y + 1. This equation represents a curve where the y-coordinate is a function of the x-coordinate, satisfying the conditions.

To determine an equation of the curve that satisfies the conditions, we can integrate the slope function with respect to x to obtain the equation of the curve. Let's proceed with the calculations:

We have:

Point: (0, 1)

Slope: 5xy

We can start by integrating the slope function to find the equation of the curve:

∫(dy/dx) dx = ∫(5xy) dx

Integrating both sides:

∫dy = ∫(5xy) dx

Integrating with respect to y on the left side gives us:

y = ∫(5xy) dx

To solve this integral, we treat y as a constant and integrate with respect to x:

y = 5∫(xy) dx

Using the power rule of integration, where the integral of x^n dx is (1/(n+1)) * x^(n+1), we integrate x with respect to x and get:

y = 5 * (1/2) * x^2y + C

Applying the initial condition (0, 1), we substitute x = 0 and y = 1 into the equation to find the value of the constant C:

1 = 5 * (1/2) * (0)^2 * 1 + C

1 = C

Therefore, the equation of the curve that passes through the point (0, 1) and has a slope of 5xy at any point (x, y) is:

y = 5 * (1/2) * x^2y + 1

Simplifying further, we have:

y = (5/2) * x^2y + 1

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a)  The difference is Option C; Yes, because the number of runs scored in a League A park appear to have a higher median than the number of runs scored in a League B park.

b) A hypothesis test may be used to determine if the mean number of runs scored for the two types of ballparks differ by analyzing sample data and evaluating statistical significance.

Hypothesis testing assesses the likelihood of observing a difference in sample means in the absence of a true difference in the population.

In this case, we test if mean runs scored in League A parks differ from those in League B parks. H0: no difference between means. H1: difference exists.

The hypothesis test could be set up as follows:

Therefore, as a result, a hypothesis test could be vital to evaluate if the mean number of runs scored in League A parks is one that differs from the mean number of runs scored in League B parks.

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See text below

In baseball, league A allows a designated hitter (DH) to bat for the pitcher, who is typically a weak hitter. In league B, the pitcher must bad. The common belief is that this results in league A teams scorning more runs. An interleague play, when league A teams visit league B teams, the league A pitcher must bat. So, if the DH doe result in more runs, it would be expected what league A teams will score fewer runs when visiting league B parks. To test this claim, a random sample of runs scored by league A teams with and without their DH is given in the below table. Does the designed hitter result in more runs scored at the a= 005 level of significance? Note that xA= 6.0, sA= 3.5, xB= 4.3 and sB= 2.7.

League A Park (with DH)

7 2 3 6 8

1 3 7 6 4

4 12 5 6 13

6 9 5 6 7

4 3 2 5 5

6 14 14 7 0

League B Park (without DH)

0 5 5 4 7

2 6 2 9 2

8 8 2 10 4

4 3 4 1 9

3 5 1 3 3

3 5 2 7 2

Social cognitive theory focuses closely on A. addressing performance attainments and persistence in overcoming obstacles.

Social cognitive theory, developed by psychologist Albert Bandura, emphasizes the role of cognitive processes in learning and behavior. It specifically focuses on how individuals acquire knowledge, develop skills, and exhibit behavior through observational learning, self-efficacy beliefs, and self-regulation. One of the key aspects of social cognitive theory is addressing performance attainments and persistence in overcoming obstacles.

This means that the theory emphasizes the importance of individuals actively engaging in tasks, setting goals, and persisting in the face of challenges to achieve desired outcomes. By emphasizing performance attainments and overcoming obstacles, social cognitive theory highlights the role of self-efficacy, self-control, and motivation in shaping behavior and success in various domains of life, such as education, work, and personal goals.

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Based on the given information, the cost per ounce of the 16 oz jar and the 12 oz jar is not provided. Therefore, it is not possible to determine which jar of mayonnaise Sigmund should buy.

In order to compare the cost of the two jars of mayonnaise and determine which one Sigmund should buy, we need to know the price per ounce for each jar. Without this information, we cannot make a conclusive decision.

The cost per ounce is essential because it allows us to compare the prices accurately. For example, if the 16 oz jar costs $3 and the 12 oz jar costs $2.50, we can calculate the cost per ounce for each jar. The cost per ounce for the 16 oz jar would be $3 divided by 16 oz, which is $0.1875 per ounce. Similarly, the cost per ounce for the 12 oz jar would be $2.50 divided by 12 oz, which is approximately $0.2083 per ounce.

With this information, we can determine that the 16 oz jar is more cost-effective as it has a lower cost per ounce compared to the 12 oz jar. However, without the specific prices per ounce provided in the given information, it is impossible to determine which jar of mayonnaise Sigmund should buy.

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The solutions to the quadratic equation x^2 + 5x + 6 = 0 are x = -2 and x = -3.

To factor the quadratic equation x^2 + 5x + 6 = 0, we need to find two numbers that multiply to 6 and add up to 5.

The numbers that satisfy these conditions are 2 and 3.

So, we can rewrite the equation as (x + 2)(x + 3) = 0.

Now, we can apply the zero product property, which states that if the product of two factors is zero, then at least one of the factors must be zero.

Setting each binomial factor equal to zero, we have:

x + 2 = 0 or x + 3 = 0

Solving for x in each equation, we find:

x = -2 or x = -3

As a result, x = -2 and x = -3 are the answers to the quadratic equation x2 + 5x + 6 = 0.

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Answer:

Image 1

Step-by-step explanation:

easy

Answer:

Image 1

Step-by-step explanation

Answer: y=-0.5x-8

Step-by-step explanation:

Choose two points on the line: (0,-8) and (-6,-5)

Hence,

x₁=0   x₂=-6   y₁=-8   y₂=-5

\(\displaystyle\\The\ slope=\frac{y_2-y_1}{x_2-x_1}\\\\The\ slope=\frac{-5-(-8)}{-6-0} \\\\The\ slope=\frac{-5+8}{-6} \\\\The\ slope=\frac{3}{(3)(-2)}\\\\The\ slope=\frac{1}{-2} \\\\The\ slope=-\frac{1}{2}\\\\The\ slope=-0.5\)

\(y=kx+b\\k=the\ slope=-0.5\\(0,-8) \ hence,\\-8=-0,5*0+b\\-8=0+b\\-8=b\\Thus,\\y=-0.5x-8\)

Answer:

sqrt of 2 is between 1 and 2

The square root of 2 is in between the square of one and the square of 2.

Answer:

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Step-by-step explanation:

トロルクソクソハハハハハハハトロルクソクソハハハハハハハトロルクソクソハハハハハハハトロルクソクソハハハハハハハ

Answer:

P = 8n +12

Step-by-step explanation:

The lines on the sides are saying all 4 sides are equal

The perimeter is the sum of all 4 sides,but since they are the same

P = 4s where s is the side length of one of the sides

P = 4( 2n+3)

Distribute

P = 8n +12

i. The Fourier transform of (t - 2) - 38(t - 3) is [(jw)^2 + 38jw]e^(-2jw). ii. The Fourier transform of e^(-2t)u(t) is 1/(jw + 2). iii. The Fourier transform of e^(-3t+12)u(t-4) can be obtained using the result of ii. as e^(-2t)u(t-4)e^(12jw). iv. The Fourier transform of e^(-2|t|)cos(t) is [(2jw)/(w^2+4)].

i. To find the Fourier transform of (t - 2) - 38(t - 3), we can use the linearity property of the Fourier transform. The Fourier transform of (t - 2) can be found using the time-shifting property, and the Fourier transform of -38(t - 3) can be found by scaling and using the frequency-shifting property. Adding the two transforms together gives [(jw)^2 + 38jw]e^(-2jw).

ii. The function e^(-2t)u(t) is the product of the exponential function e^(-2t) and the unit step function u(t). The Fourier transform of e^(-2t) can be found using the time-shifting property as 1/(jw + 2). The Fourier transform of u(t) is 1/(jw), resulting in the Fourier transform of e^(-2t)u(t) as 1/(jw + 2).

iii. The function e^(-3t+12)u(t-4) can be rewritten as e^(-2t)u(t-4)e^(12jw) using the time-shifting property. From the result of ii., we know the Fourier transform of e^(-2t)u(t-4) is 1/(jw + 2). Multiplying this by e^(12jw) gives the Fourier transform of e^(-3t+12)u(t-4) as e^(-2t)u(t-4)e^(12jw).

iv. To find the Fourier transform of e^(-2|t|)cos(t), we can use the definition of the Fourier transform and apply the properties of the Fourier transform. By splitting the function into even and odd parts, we find that the Fourier transform is [(2jw)/(w^2+4)].

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Answer: A parallelogram has two parallel pairs of opposite sides. A rectangle has two pairs of opposite sides parallel, and four right angles. It is also a parallelogram, since it has two pairs of parallel sides.

Step-by-step explanation:

Answer:

About 8 (8.28059 to be exact)

Step-by-step explanation:

The surface with the given vector equation, r(s, t) = (s cos(t), s sin(t), s), is a circular cone.

The vector equation r(s, t) = (s cos(t), s sin(t), s) represents a surface in three-dimensional space. Let's analyze the equation to determine the nature of the surface.

In the equation, we have three components: s, cos(t), and sin(t). The presence of s indicates that the surface expands or contracts radially from a central point. The trigonometric functions cos(t) and sin(t) determine the angle at which the surface extends in the x and y directions.

By observing the equation closely, we can see that as s increases, the radius of the surface expands uniformly in all directions, while the height remains constant. This behavior is characteristic of a circular cone. The circular base of the cone is defined by s cos(t) and s sin(t), and the vertical component is determined by s.

Therefore, the surface described by the vector equation r(s, t) = (s cos(t), s sin(t), s) is a circular cone.

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The volume of the display case is 2161 1/8 cubic inches.To find the volume of a rectangular prism-shaped display case, we multiply its length, width, and height.

Given that the display case is 30 1/2 inches wide, 10 1/2 inches long, and 32 1/4 inches tall, we can calculate the volume as follows:

Volume = Length * Width * Height

Using the given measurements:

Volume = 10 1/2 inches * 30 1/2 inches * 32 1/4 inches

To simplify the calculation, we can convert the mixed numbers to improper fractions:

Volume = (21/2) inches * (61/2) inches * (129/4) inches

Next, we multiply the fractions:

Volume = (21/2) * (61/2) * (129/4) = 17289/8

The resulting fraction, 17289/8, is an improper fraction. To convert it back to mixed number form:

Volume = 2161 1/8 in³.

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Answer:

C

Step-by-step explanation:

The angle at the centre is twice the angle on the circle subtended on the same arc, then

a = 2 × 25° = 50° → C

Answer:

let M(-3,-4) be (x1, Y1)

    T(5,0) be (x2,y2)

m:n = 2 : 3

using section formula

Q(x,y) =  {mx2 + nx1/(m+n), my2 + ny1/(m+n)}

        { ( 10 -9)/5, (0 -12)/5}

         (1/5, -12/5)

This could be answer if internally

The required value of x is 22 degrees for the given figure.

Adjacent angles are a sort of additional angle. Adjacent angles share a common side and vertex, such as a corner point. Their points do not overlap in any manner.

As we know that supplementary angles are defined as when pairing of angles addition to 180° then they are called supplementary angles.:

According to the given figure, it can be written as follows:

2x + 24 + 6x - 20 = 180

8x + 4 = 180

8x = 180 - 4

8x = 176

x = 176/8

x = 22

Therefore, the required value of x is 22 degrees for the given figure.

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The complete question is as follows:

Find the value of x for the below figure.

Answer:

3 1/2 or 3.5 cups is equal to 1 pound

Step-by-step explanation:

1 Pound brown sugar is equivalent to ___3 1/2 or 3.5__ cups.

Hope This Helped

Answer:

3½ cups

Step-by-step explanation:

About 49 tiles will be needed to cover the floor

A square is a shape having equal sides. The area of a square is expressed as:

A = L²

L is the side length of a square.

If a square tile has a side length of x²y units, the area of the square tile will be:

A = (x²y)²

As = x⁴y² units²

Similarly, if a quart floor has a side length of 7x⁵y⁶ units. The area of the quart floor will be expressed as:

Aq = (7x⁵y⁶)²

Aq = 49x¹⁰y¹²

Divide both areas to get the number of tiles that will cover the floor

Number of tiles = 49x¹⁰y¹²/x⁴y²

Number of tiles = 49x⁶y¹⁰

This shows that about 49 tiles will be needed to cover the floor.

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1) \(\overline{AB} \cong \overline{CD}\), \(\overline{AD} \cong \overline{CB}\), \(\overline{AX} \perp \overline{BD}\), \(\overline{CY} \perp\overline{BD}\) (given)

2) \(\overline{BD} \cong \overline{BD}\) (reflexive property)

3) \(\triangle ABD \cong \triangle ACDB\) (SSS)

4) \(\angle ADB \cong \angle CBY\) (CPCTC)

5) \(\angle CYB\) and \(\angle AXD\) are right angles (perpendicular lines form right angles)

6) \(\triangle CYB\) and \(\triangle AXD\) are right triangles (a triangle with a right angle is a right triangle)

7) \(\triangle AXD \cong \triangle CYB\) (HA)

8) \(\overline{AX} \cong \overline{CY}\) (CPCTC)

The given statement, "Symmetry is when a feature or group of features are dimensioned with a nominal offset to one side of a centerline or center plane" is false as symmetry does not involve a nominal offset to one side of a centerline or center plane. It involves achieving balance and similarity between corresponding features on either side of the centerline or center plane.

Symmetry in a feature or group of features means that they exhibit a balanced arrangement around a centerline or center plane. This balance can be achieved in different ways, such as having identical dimensions on both sides of the centerline or center plane or having dimensions that are proportionally balanced.

When a feature or group of features is symmetrical, it means that if you were to fold or mirror the object along the centerline or center plane, the two halves would match or be similar. In other words, there is a correspondence between the features on one side and their counterparts on the other side.

In contrast, an offset feature or group of features would not be considered symmetrical. An offset implies that the feature or group of features is intentionally shifted or displaced from the centerline or center plane, which breaks the symmetry.

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Answer:

-100 (10*10)- (-10*-10) - (10*10)

Step-by-step explanation: