ASAP solve 21x+6=300 30 points

The area of the shape is 78.50. which is rounded nearest to hundredth.

To find the area, we need to know the dimensions of the shape. If we assume it is a circle, we can use the formula A = pi * r^2, where A is the area and r is the radius. Let's say the radius is 5 units.
A = 3.14 * 5^2
A = 3.14 * 25
A = 78.5
To round to the nearest hundredth, we look at the third digit after the decimal point, which is 5. Since it is greater than or equal to 5, we round the second digit up by 1. Therefore, the final answer is:
A = 78.50
Therefore the area of the shape is 78.50.

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Answer:

Step-by-step explanation:

The measure of z on the right triangle shown at the end of the answer is given as follows:

z = square root of 80.

To obtain the measure of z, the first step is obtaining the measure of y, which is obtained using the geometric mean property, as follows:

y = square root of (16 x 4) = square root of 64 = 8.

The Pythagorean Theorem states that the measure of the hypotenuse squared is equals to the sum of the squares of the measures of each side.

For the smaller right triangle, we have that:

Then the length of the hypotenuse z is obtained applying the Pythagorean Theorem as follows:

z² = 4² + 8²

z² = 16 + 64

z² = 80

z = square root of 80.

The triangle is given by the image shown at the end of the answer.

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To determine the sequence of transformation matrices that map the shape on the left to the shape on the right, we need to analyze the changes in the shape's position, size, and orientation.

One possible sequence of transformation matrices is:

1. Translation matrix to move the shape to the right position.
2. Scaling matrix to adjust the size of the shape.
3. Rotation matrix to rotate the shape to the desired orientation.

The specific values of each transformation matrix will depend on the precise changes between the two shapes. For example, the translation matrix will have different values depending on how far the shape needs to be moved and in which direction. Similarly, the scaling matrix will depend on the degree of change in size required, while the rotation matrix will depend on the angle of rotation needed.

By applying these three transformation matrices in the correct order, we can map the shape on the left to the shape on the right.

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Answer:

See Explanation

Step-by-step explanation:

Given

\(Sides:\ 9cm\ and\ 8cm\)

The question is incomplete, as what is required is not state. However, a possible question could be to determine the possible side length of the third side.

To do this, we make use of the triangle inequality theorem which states that:

Given three sides (a, b and c) of a triangle, the following inequalities exist.

\(a + b > c\)

\(a + c > b\)

\(b + c > a\)

Let a and b represent the two sides such that:

\(a = 9\)

\(b = 8\)

The inequalities become:

\(9 + 8 > c\)

\(9 + c > 8\)

\(8 + c > 9\)

Solve for c in each:

\(9 + 8 > c\)

\(17 > c\)

\(c < 17\)

\(9 + c > 8\)

\(c > 8 - 9\)

\(c > - 1\)

\(8 + c > 9\)

\(c >9 - 8\)

\(c >1\)

The value of c must be positive, so, we consider;

\(c >1\) and \(c < 17\)

Rewrite:

\(1 < c\) and \(c < 17\)

Combine both

\(1 < c < 17\)

Hence, the value of c is:

\(c = (1,17)\)

The value of x and y° are 29.1 and  76.6°.

What is rounding to tenth?

Look at the hundredth number to round the decimal number to the nearest tenth. If it's more than 5, add one to the tenth value. Remove all the numbers that are present after the tenth place and leave the tenth place value alone if it is less than 5.

The length of sides of the triangle are x, 35, and 40.

Assume that AB = c = x, BC = a = 35, and AC = b = 40

m∠C = 45° and m∠B = y°.

Cosine law:

c² = a² + b² - 2ab cos C  ....(i)

b² = a² + c² - 2ac cos B  ....(ii)

a² = b² + c² - 2bc cos A  ....(iii)

Putting a = 35, b = 40, c = x, and C = 45° in law (i)

x² = 35² + 40² - 2×35×40 cos 45°

x² = 2825 - 2800 × (1/√2)

x = 29.07

x = 29.1  (nearest tenth)

Putting a = 35, b = 40, c = 29.1, and B = y° in law (ii)

40² = 35² + 29.1² - 2×35×29.1 cos y

1600 = 1225 + 846.81 - 2037 cos y

2037 cos y = 471.81

cos y = 471.81/2037

y = 76.60°

y = 76.6°

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The effect on the correlation coefficient if the additional data point was added would be a decrease.

The correlation coefficient is a measure of the linear relationship between two variables. A value of 0.93 indicates a strong positive linear relationship. The additional data point (7,30) is an outlier, meaning that it is far away from the rest of the data points.

Outliers can have a significant impact on the correlation coefficient, especially if there are few data points. In this case, the outlier would pull the correlation coefficient down. The new correlation coefficient is approximately 0.85.

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Answer:

B. negative

Step-by-step explanation:

since it is sloped downward

It is important to note that the expressions containing square roots cannot be simplified further, while the fraction can be simplified to lowest terms.

The three values given are:

15√6 cm

12/54 cm (which can also be simplified to 2/9 cm)

6√24 cm (which can also be simplified to 12√6 cm)

The first value, 15√6 cm, represents a length or distance that is equal to 15 times the square root of 6 centimeters.

The second value, 2/9 cm, represents a length or distance that is equal to 2 divided by 9 centimeters.

The third value, 12√6 cm, represents a length or distance that is equal to 12 times the square root of 6 centimeters.

what is expressions?

An expression is a mathematical phrase that can contain numbers, variables, operators, and other mathematical symbols. It represents a quantity or value that can be evaluated or simplified.

Expressions can be as simple as a single number or variable, such as "2" or "x", or they can be complex combinations of numbers, variables, and operators, such as "3x + 5" or "2a^2 - 7b + c/2".

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Answer:

I think 5q+3(8-q) =36 is the answer for this question

Based on the amount the restaurant manager spends on the juice mixture, the amount of cherry juice can be found as 5q + 3(8 – q) = 8.

Assuming the cherry juice is q and the lime juice is r, the following formulas would be true:

q + r = 8

5q + 3r = 36

The first equation can be rewritten as:

q + r = 8

r = 8 - q

Using substitution into the second formula we get:

5q + 3r = 36

5q + 3(8 - q) = 36

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Answer:

1/2 is half a number while 1/2% means 50%

Answer:

1) x= -2.5

2) x= -0.4

Step-by-step explanation:

1)

x=3x+5

-5.    -5

x-5=3x

-x.    -x

-5=2x

/2.  /2

-2.5=x

2)

2=5x+4

-4.    -4

-2=5x

/5. /5

-0.4=x

Hopes this helps please mark brainliest

Answer:

1) x = -5/2

2) x = 6/5

Step-by-step explanation:

x = 3x + 5

Subtract x from both sides

0 = 3x - x + 5

0 = 2x + 5

Subtract 5 from both sides

-5 = 2x

Divide 2 to both sides

-5/2 = x

2 = 5x - 4

Add 4 to both sides

2 + 4 = 5x

6 = 5x

Divide 5 to both sides

6/5 = x

\(\rule[225]{225}{2}\)

Answer:

10.05 units

Step-by-step explanation:

Distance between (A, B)

\( = \sqrt{ {(3 - 4)}^{2} + {( - 4 - 6)}^{2} } \\ = \sqrt{ {( - 1)}^{2} + {( - 10)}^{2} } \\ = \sqrt{1 + 100} \\ = \sqrt{101} \\ = 10.0498756 \\ \approx \: 10.05 \: units\)

Step-by-step explanation:

right.

to give a little bit more explanation :

we are using actually the Pythagoras formula for right-angled triangles

c² = a² + b²

with c being the Hypotenuse = the opposite side of the 90 degree angle.

now imagine 2 points in a grid of coordinates.

to go from point 1 to point 2 you go for example first a certain distance parallel to the x-axis, and then another distance parallel to the y-axis.

as you can see, you build that way a right-angled triangle, with the direct connection from point 1 to point 2 being the Hypotenuse.

so the direct distance (c) between A and B is then using the Pythagoras formula based on the coordination unit changes we have to make in x and y direction.

A is at coordinates (4,6). Ax = 4, Ay = 6

B is at coordinates (3,-4). Bx = 3, By = -4

so, going from A to B, the distance in x-direction is the difference between 4 and 3 (= 1), and the distance in y- direction is the difference between 6 and -4 (= 10).

since all values are squared first in that formula, it does not matter, if we calculate for example 4-3 or 3-4. but it is important to always only calculate x with x and y with y.

so, c² = 1² + 10² or -1² + (-10)² = 101

and c = sqrt (101) as the other answer calculated already correctly.

Answer:

The next term of the sequence is represented by the point (5, –64)

Step-by-step explanation:

From inspection of the graph, the first four terms of the sequence are:

Each x-value increases by 1 for each consecutive term.

Each y-value is the previous y-value multiplied by -2.

Therefore, it is a geometric sequence with a common ratio of -2.

Following the above rule, if the last term in the sequence is (4, 32), then the next term in the sequence will be:

So, the next term of the sequence is represented by the point (5, –64)

The required answer  integral \(\int{(3 sin^3(x))/cos(x)}\, dx\) evaluates to \(3 * \ln|sec(x)| - (3/4) * cos(2x) + C.\)

The given integral is \(\int{(3 sin^3(x))/cos(x)}\, dx\) .Let's go through the steps to evaluate it:

Step 1: Rewrite the integral using a trigonometric identity. We can use the identity \(sin^2(x) = 1 - cos^2(x)\) to simplify the integrand. Rearranging this equation, we get \(sin^3(x) = sin^2(x) * sin(x) = (1 - cos^2(x)) * sin(x)\).

Step 2: Substitute the trigonometric identity into the integral. The integral becomes \(\int(3 * (1 - cos^2(x)) * sin(x)) / cos(x) \,dx\).

Step 3: Simplify the integrand. Distribute the 3 into the expression, resulting in \(\int (3 * sin(x) - 3 * cos^2(x) * sin(x)) / cos(x) \,dx.\)

Step 4: Split the integral. We can split the integral into two separate integrals: \(\int(3 * sin(x))/cos(x) \,dx - \int(3 * cos^2(x) * sin(x)) / cos(x) \,dx\).

Step 5: Evaluate the first integral. The first integral, \(\int(3 * sin(x))/cos(x) \,dx\), can be simplified using the trigonometric identity  \(tan(x) = sin(x)/cos(x)\). Therefore, the first integral becomes \(\int3 * tan(x) \,dx\).

The integral of tan(x) is \(\ln|sec(x)| + C_1\), where \(C_1\) is the constant of integration. Hence, the first integral evaluates to \(3*\ln|sec(x)| + C_1\).

Step 6: Simplify the second integral. The second integral, \(\int(3 * cos^2(x) * sin(x)) / cos(x) \,dx\), simplifies to \(\int3 * cos(x) * sin(x) \,dx.\)

We can further simplify this by using the identity \(sin(2x) = 2 * sin(x) * cos(x)\). Therefore, the second integral becomes \(\int(3/2) * sin(2x) \,dx.\)

Step 7: Evaluate the second integral. The integral of sin(2x) is -(1/2) * cos(2x) . Therefore, the second integral evaluates to \(-(3/4) * cos(2x) + C_2,\) where \(C_2\) is the constant of integration.

Step 8: Combine the results. Combining the results from steps 5 and 7, the original integral evaluates to:

\(\int(3 sin^3(x))/(cos(x)) \,dx = 3 * \ln|sec(x)| - (3/4) * cos(2x) + C,\)

where C is the constant of integration.

Therefore, the integral \(\int{(3 sin^3(x))/cos(x)}\, dx\) evaluates to \(3 * \ln|sec(x)| - (3/4) * cos(2x) + C.\)

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Answer:3x+5y=4

Step-by-step explanation:

Answer:

x=(4/3,0)

y=(0,4/5)

Step-by-step explanation:

Answer:

$1.20

Step-by-step explanation:

Answer:

5-6y+7b

Step-by-step explanation:

ok boii 32ed32d d d 3 . 2 2 22 2

Answer:

their are 4 weeks in a month so 4*7=

28

so its 1/28 which is equals to (1 divided by 28)

3.57%

Hope This Helps!!!

Answer:

It depends on the amount of days in a month:

If 28 days: 3.57%

If 29 days: 3.45%

If 30 days: 3.33%

If 31 days: 3.23%

Step-by-step explanation:

1. Provided a month is defined as 30 days - change 30 days to correct amount for specified month. For days in a month, see table below.

2. Multiply daily income by days in a month: $3.50 * 30 days = $105.00/month.

2. Divide specified amount of $3.50 by monthly income: $3.50 ÷ $105.00 = 0.03333

3. Multiply faction by 100 to make into a percentage: 0.03333 * 100 = 3.333%

The duration of a month will vary.

January: 31 days; 3.23%

February: 28 days in a common year and 29 days in leap years; 3.57% or, if leap year, 3.45%

March – 31 days; 3.23%

April – 30 days; 3.33%

May – 31 days; 3.23%

June – 30 days; 3.33%

July – 31 days; 3.23%

August – 31 days; 3.23%

September – 30 days; 3.33%

October – 31 days; 3.23%

November – 30 days; 3.33%

December – 31 days; 3.23%.

First, by solving for y, convert the equation of the given line into slope-intercept form y=mx+c .You obtain the slope of the equation as m. Since the slopes of perpendicular lines are negative reciprocal, the slope of the line we're looking is the negative reciprocal of the perpendicular equation.

By entering the supplied point into the formula y = mx + b and solving for b, we arrive at the value of b. Consequently, the line's equation is formed.

A line's slope in mathematics is defined as the ratio of the change in the y coordinate to the change in the x coordinate.

Both the net change in the y-coordinate and the net change in the x-coordinate are denoted by Δy and Δx, respectively.

m = y/x = y/x = change in y/change in x

where "m" represents a line's slope.

Additionally, the slope of the line may be shown as

tan θ = Δy/Δx

A line's slope often indicates the steepness and direction of the line.

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m = y/x = y/x = change in y/change in x

where "m" represents a line's slope.

Additionally, the slope of the line may be shown as

tan θ = Δy/Δx

Answer:

7) 55 .    8) 30        9) 18

Step-by-step explanation:

The measure of the angle that the line y = -x makes with the positive x-axis is approximately θ = arctan(-1) ≈ -0.79 radians (rounded to two decimal places).

The measure of the angle that the line y = -x makes with the positive x-axis, can be found as,
1. Identify the slope of the line. In this case, the slope is -1, since y = -x.
2. Calculate the tangent of the angle using the slope. The tangent of the angle (θ) is equal to the slope, so tan(θ) = -1.
3. Find the angle using the inverse tangent function (arctan or tan^-1). θ = arctan(-1).
4. Convert the angle to radians if necessary. In this case, the angle is already in radians.

Using these steps, the measure of the angle that the line y = -x makes with the positive x-axis is approximately θ = arctan(-1) ≈ -0.79 radians (rounded to two decimal places).

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The given system satisfies the convergence condition for the Gauss-Seidel method, indicating that it will converge.

To determine if the given system will converge for the Gauss-Seidel method, we need to check if it satisfies the convergence condition.

In the Gauss-Seidel method, a system converges if the absolute value of the diagonal elements of the coefficient matrix is greater than the sum of the absolute values of the other elements in the same row.

Let's analyze the given system:

10cc1 + 2cc2 - cc3

The diagonal element is 10, and the sum of the absolute values of the other elements in the first row is 2 + 1 = 3. Since 10 > 3, the convergence condition is satisfied.

Therefore, we can conclude that the given system will converge for the Gauss-Seidel method.

To verify if a system will converge for the Gauss-Seidel method, we need to ensure that the convergence condition is satisfied. In this method, convergence is achieved if the absolute value of the diagonal elements of the coefficient matrix is greater than the sum of the absolute values of the other elements in the same row.

Analyzing the given system, we have the equation 10cc1 + 2cc2 - cc3 . We observe that the diagonal element of the coefficient matrix is 10. Now, let's calculate the sum of the absolute values of the other elements in the first row. We have 2 and 1 as the other elements. Adding their absolute values, we get 2 + 1 = 3.

Comparing the diagonal element with the sum, we find that 10 is greater than 3. Therefore, the convergence condition is satisfied for this system. As a result, we can conclude that the given system will converge when using the Gauss-Seidel method.

The given system satisfies the convergence condition for the Gauss-Seidel method, indicating that it will converge.

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#33

\(\\ \sf\longmapsto \dfrac{300(300+1)}{2}\)

\(\\ \sf\longmapsto \dfrac{300(301)}{2}\)

\(\\ \sf\longmapsto 150(301)=45150\)

#34

\(\\ \sf\longmapsto \dfrac{500(500+1)}{2}\)

\(\\ \sf\longmapsto 250(501)\)

\(\\ \sf\longmapsto 125250\)

#35

\(\\ \sf\longmapsto \dfrac{675(675+1)}{2}\)

\(\\ \sf\longmapsto dfrac{675(676)}{2}\)

\(\\ \sf\longmapsto 675(338)\)

\(\\ \sf\longmapsto 228150\)

#36

\(\\ \sf\longmapsto \dfrac{825(825+1)}{2}\)

\(\\ \sf\longmapsto \dfrac{825(826)}{2}\)

\(\\ \sf\longmapsto \dfrac{825(413)}{1}\)

\(\\ \sf\longmapsto 340725\)

#37

n=102/2=51

\(\\ \sf\longmapsto n^2\)

\(\\ \sf\longmapsto 51^2\)

\(\\ \sf\longmapsto 2621\)

#38

n=49+1/2=50/2=25

\(\\ \sf\longmapsto n^2\)

\(\\ \sf\longmapsto 25^2\)

\(\\ \sf\longmapsto 625\)

#39

n=999+1/2=1000/2=500

\(\\ \sf\longmapsto n^2\)

\(\\ \sf\longmapsto 500^2\)

\(\\ \sf\longmapsto 250000\)

361πkm²

• the formula to find the area of a circle is A=πr²

The number of yards, as a mixed number, will you drive until you reach this exit is 333 1/3 yards

The complete question is added as an attachment

From the attached figure, we have:

Exit = 1000 feet

From the question, we have

3 feet = 1 yard

So, the number of yards is

Number of yard =Exit/3 yards

This gives

Number of yard = 1000/3 yards

Evaluate the quotient

Number of yard = 333 1/3 yards

Hence, the number of yards, as a mixed number, will you drive until you reach this exit is 333 1/3 yards

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Answer:

8000 feet i think so yeah

Answer:

Step-by-step explanation:

Fame age be x and sister's age = y

Five years ago:

Fame's age = x - 5

His sister's age = y -5

\(x -5 =\dfrac{1}{6}*(y-5)\\\\\)

Multiply the entire equation by 6

\(6*(x-5)=6*\dfrac{1}{6}(y-5)\\\)

6x- 6*5  = y-5

6x - 30 = y - 5

6x  -30 + 5 = y

y = 6x - 25--------------(I)

Three year after:

Fame's age = x + 3

His sister's age = y + 3

2*(x +3) = y + 3

2x + 6   = y + 3

2x + 6 -3 = y

y = 2x + 3 -------------(II)

Substitute y = 6x - 25 in equation (II)

6x - 25 = 2x + 3

Add 25 to both sides

6x  = 2x + 3 + 25

6x  = 2x + 28

Subtract 2x from both sides

6x - 2x = 28

       4x = 28

Divide both sides by 4

x = 28/4

x = 7

Substitute x = 7 in equation (I)

y =6x - 25

y = 6*7 - 25

  = 42 - 25

y = 17

Fame's age = 7 years

His sister's age = 17 years

4) Let the distance between X and Y be D

Time take by Wie = distance÷ speed

                             \(= \dfrac{D}{75}\)

Time taken by Wary = distance ÷ speed

                                  \(=\dfrac{D}{80}\)

Time difference = 10 minutes.

As Wary drives in high speed that Wie, he takes less time

\(\dfrac{D}{75}-\dfrac{D}{80}= \dfrac{10}{60}\\\\\)

LcM = 1200

\(\dfrac{16D}{75*16}-\dfrac{15D}{85*15}=\dfrac{1}{6}\\\\\\\dfrac{16D-15D}{1200}=\dfrac{1}{6}\\\\\\\dfrac{D}{1200}=\dfrac{1}{6}\\\\\\D=\dfrac{1}{6}*1200\\\\\\\)

D = 200 Km