10 i Draw the graph of linear equation 7x + y = 13. From the graph, find the points where the line meets the axes.​

The price at which the total quantity supplied is 250 is $11.58.

In order to find the price at which the total quantity supplied is 250, we need to equate the total quantity supplied by both producers (Supply 1 and Supply 2) and solve for the price.

Supply 1: P = 6 + 0.7Q

Supply 2: P = 16 + 0.6Q

To find the equilibrium price, we set the total quantity supplied equal to 250:

0.7Q + 0.6Q = 250

1.3Q = 250

Q = 250 / 1.3 ≈ 192.31

Now that we have the quantity, we can substitute it back into either supply function to find the price. Let's use Supply 1:

P = 6 + 0.7Q

P = 6 + 0.7 * 192.31

P ≈ 6 + 134.62

P ≈ 140.62

Therefore, the price at which the total quantity supplied is 250 is approximately $11.58.

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The required ratio of the number of boy to the number of girl is 3/4.

A ratio is a method for showing a relationship or look at two quantities of a similar kind. We use proportions to think about things of a similar kind. For instance, we might utilize a proportion to contrast the quantity of young men with the quantity of young ladies in your study hall.

Let us consider number of boys is x and that of girls is y.

x + y = 70 ------------------------(1)

And

y = x + 10

Put the value of y in eq(1),we get

x + x + 10 = 70

2x = 60

x = 30

So, the number of boys are 30, then girls are 30 + 10 = 40

Now, the ratio of the number of boy to the number of girl is

x/y = 30/40 = 3/4

Thus, ratio is 3/4.

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The quantity of the radioactive material which would remain 2 years from now is; 4 grams.

Since, it follows from the task content that after two year, the quantity of the radioactive substance decrease by 1 gram. Consequently, it follows from proportion that the quantity remaining in 2 years from now is; 5-1 = 4 grams.

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The expression is obtained on subtracting 4x + 6 from 7 + 2x is -2x + 1

Given the two expressions in the question;

( 4x + 6 ) and ( 7 + 2x )

To subtract  4x + 6 from 7 + 2x simply means ( 7 + 2x ) - ( 4x + 6 ).

Now, simplify

( 7 + 2x ) - ( 4x + 6 )

Distribute the negative sign to all the terms in the second expression.

( 7 + 2x ) -4x - 6

Now collect and add like terms

2x - 4x - 6 + 7

Add 2x and -4x

-2x - 6 + 7

Add -6 and 7

-2x + 1

Therefore, the resulting expression is -2x + 1.

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Step-by-step explanation:

\(6.130 \times {10}^{9} = 9130000000\)

Answer:

19.47

Step-by-step explanation:

if the radius Is 1 and height is 5.1

Answer:

11 ft

Step-by-step explanation: A square has side lengths that are equal in length. Given that a side length of a square is x, the area would be x^2 because x*x = x^2. Now we have to reverse for the problem. If the area is 121 then what is x. 121=x^2. So we have to square root 121, resulting in 11. So each side of the garden is 11 feet each.

Answer: 7,320.5

Step-by-step explanation:

121 squared

= 1212

= 121 x 121

= 14,641  (Area)1/2=s, where s = side.

So 14,641÷2= 7,320.5

Answer:

7 < k < 13

Step-by-step explanation:

5 < k - 2 < 11 ( add 2 to the 3 intervals )

7 < k < 13

Answer: 4.126 km

Step-by-step explanation:

First, We have to find total span of both bridges

As Question indicates 'total' ,that is, we have to find bridge length in total ( You can join Bridges to have better understanding)

Now, Walkway over hundson Bridge length= 2.063 km

Amping bridge length= 2.07 km

So, Total span of both bridges = 2.063+2.07 = 4.133 km

b) Now Leah wanna walk across and back on walkway over hudson ,that is, she wanna return to starting point from where she walk forth

So,that means, she walk double distance of length of walkway over hudson

So, total distance = 2× 2.063

= 4.126 km

hope this helps,

Plzzs give brainliest if you like my answer.

We have solved the equation AB=BC for A, assuming that A, B, and C are square matrices and B is invertible, then the solution is A=C B⁻¹.

First, let's take a look at the equation AB=BC. This is an equation that involves matrices, which are essentially rectangular arrays of numbers. In this case, we have three matrices: A, B, and C. The equation tells us that the product of A and B is equal to the product of B and C.

Now, we want to solve this equation for A. This means that we want to isolate A on one side of the equation and have everything else on the other side. To do this, we can use matrix algebra.

One property of matrices is that we can multiply both sides of an equation by the inverse of a matrix without changing the solution. Since we know that B is invertible, we can multiply both sides of the equation by B⁻¹, the inverse of B:

AB B⁻¹ = BC B⁻¹

Now, we can simplify the left side of the equation, because B times its inverse gives us the identity matrix I:

A I = C B⁻¹

Again, we can simplify the left side of the equation, because anything multiplied by the identity matrix stays the same:

A = C B⁻¹

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In Pascal's Triangle, the first prime row is Row 5, where all entries except the 1s are non-prime numbers. The second prime row is Row 11, which also follows the same pattern with non-prime entries except for the 1s.

a) To find a row whose row number is prime, we can start from the second row (row index 1) and iterate through the rows of Pascal's Triangle, checking if each row number is prime. Let's find the first prime row:

Row 1: 1

Row 2: 1 1

Row 3: 1 2 1

Row 4: 1 3 3 1

Row 5: 1 4 6 4 1

Row 6: 1 5 10 10 5 1

Row 7: 1 6 15 20 15 6 1

Row 8: 1 7 21 35 35 21 7 1

Row 9: 1 8 28 56 70 56 28 8 1

Row 10: 1 9 36 84 126 126 84 36 9 1

Row 11: 1 10 45 120 210 252 210 120 45 10 1

Row 12: 1 11 55 165 330 462 462 330 165 55 11 1

Row 13: 1 12 66 220 495 792 924 792 495 220 66 12 1

Row 14: 1 13 78 286 715 1287 1716 1716 1287 715 286 78 13 1

Row 15: 1 14 91 364 1001 2002 3003 3432 3003 2002 1001 364 91 14 1

The first prime row is Row 5, and except for the 1s in that row, all the other entries are non-prime numbers.

b) Let's find another prime row:

Row 1: 1

Row 2: 1 1

Row 3: 1 2 1

Row 4: 1 3 3 1

Row 5: 1 4 6 4 1

Row 6: 1 5 10 10 5 1

Row 7: 1 6 15 20 15 6 1

Row 8: 1 7 21 35 35 21 7 1

Row 9: 1 8 28 56 70 56 28 8 1

Row 10: 1 9 36 84 126 126 84 36 9 1

Row 11: 1 10 45 120 210 252 210 120 45 10 1

Row 12: 1 11 55 165 330 462 462 330 165 55 11 1

Row 13: 1 12 66 220 495 792 924 792 495 220 66 12 1

Row 14: 1 13 78 286 715 1287 1716 1716 1287 715 286 78 13 1

Row 15: 1 14 91 364 1001 2002 3003 3432 3003 2002 1001 364 91 14 1

The second prime row is Row 11, and similar to the previous case, except for the 1s in that row.

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Answer: Tiffany can be certain the trapezoids are congruent.

Step-by-step explanation: Two figures are congruent when their corresponding angles are equal and they have the same shape and size.

A figure can go thorugh 3 types of transformations:

As long the figure doesn't change its size or shape, it doesn't matter if it's rotated, reflected or translated, they will be congruent.

When the trapezoid was rotated creating another one, the two shapes didn't change its size or shape, so Tiffany can be certain they are congruent.

Answer:

Hello again the answer is -1/2x

Step-by-step explanation:

Since the Y is multipling the 2 you have to isolate it by dividing it by 2 and move x away from the Y  

I think it is y=1/2x

Answer:

8.533333

Step-by-step explanation:

9^(− 1/ 2 )+25− 1 2 +32^ (3/ 5) = 9 (−1 /2) +25(− 1 /2) +32 ^(3 /5)

=0.333333+25^(− 1/ 2) +32 ^(3 /5)

=0.333333+25 ^(−1 /2) +32 ^(3/ 5)

=0.333333+0.2+32^ (3/ 5)

=0.533333+32 ^(3 /5)

=0.533333+8

=8.533333

Answer:

C. The point (20, 45) is on the line.

Step-by-step explanation:

The number of songs learned by Audra vs the number of months is plotted in the graph provided.

Some points are recognized from the graph: (0,5) (1,7) (2,9) among others. With two of these points, we construct the linear model of the graph.

The equation of a line passing through points (x1,y1) and (x2,y2) can be found as follows:

\(\displaystyle y-y_1=\frac{y_2-y_1}{x_2-x_1}(x-x_1)\)

Using (0,5) and (1,7):

\(\displaystyle y-5=\frac{7-5}{1-0}(x-0)\)

\(\displaystyle y-5=\frac{2}{1}(x-0)\)

y - 5 = 2x

y = 2x + 5

The slope of the line is 2. So, A. and B are discarded.

The y-intercept represents the number of songs Audra played initially at time = 0.

The point (20,45) is on the line as we'll prove below:

y = 2(20) + 5 = 40 + 5 = 45

When x=20, y=45

Thus, the correct choice is:

C. The point (20, 45) is on the line.

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\(▪▪▪▪▪▪▪▪▪▪▪▪▪  {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪\)

Value of x is equal to ~

\(\boxed{ \boxed{13 \degree}}\)

\( \large \boxed{ \mathfrak{Step\:\: By\:\:Step\:\:Explanation}}\)

According to above figure, we can infer that Angles measuring (7x - 11)° and (3x + 41)° are equal to one another.

Because they form pair of corresponding angles.

that is ~

Answer:

a couple different obes

Step-by-step explanation:

there are five

The function f(t) is defined as e raised to the power 5t plus 4t plus the natural logarithm of the quantity t squared plus 3 times the constant c, raised to the power of 7, plus t times e raised to the power of -1 plus 5 times e raised to the power of 6.

Given a function:

f(t)=e5t+4t+7ln(t2+3c)+te-1+5e6

where c is a constant.

The solution to the question is shown below.

Step 1: We have given a function:

f(t)=e5t+4t+7ln(t2+3c)+te-1+5e6

We have to find the number of words we have to write to express this function in words.

Step 2: Solution

f(t) = et5+4t + ln(t²+3c)⁷ +te-1+5e⁶

Where,

et5+4t = exponential function

ln(t²+3c)⁷ = natural logarithmic function

te-1 = linear function

e⁶ = exponential function

Therefore, f(t) can be expressed in words as:

The function f(t) is defined as e raised to the power 5t plus 4t plus the natural logarithm of the quantity t squared plus 3 times the constant c, raised to the power of 7, plus t times e raised to the power of -1 plus 5 times e raised to the power of 6.

Step 3: Conclusion

Hence, the function f(t) can be expressed in words with:The function f(t) is defined as e raised to the power 5t plus 4t plus the natural logarithm of the quantity t squared plus 3 times the constant c, raised to the power of 7, plus t times e raised to the power of -1 plus 5 times e raised to the power of 6.

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By using Euler's method with a step size of 0.2, we estimate that y(1) = 4.5429.

The Euler's method is used to estimate a numerical solution of a first-order differential equation. The formula of Euler's method is given by:

y_1 = y_0 + hf(x_0, y_0)

Where: y_1 is the next value of y after one iterationy

0 is the initial value of yy' = f(x, y)h is the step size

This method is an iterative procedure that advances the estimate of y by one step by approximating the curve using a tangent line at each point along the curve.

Given that y(0) = 4 and h = 0.2, we can use Euler's method to estimate y(1) where y(x) is the solution of the initial-value problemy' = x2 + xy, y(0) = 4

Using Euler's method with a step size of 0.2, we get:

1) When x = 0, y = 4

y_1 = y_0 + hf(x_0, y_0) = 4 + 0.2(0 + 4(0))= 4.02

When x = 0.2, y = 4.02

y_2 = y1 + hf(x_1, y_1) = 4.02 + 0.2(0.2^2 + 0.2(4.02))= 4.10523

When x = 0.4, y = 4.1052

y_3 = y_2 + hf(x_2, y_2) = 4.1052 + 0.2(0.4^2 + 0.4(4.1052))= 4.1994144

When x = 0.6, y = 4.1994

4 = y_3 + hf(x_3, y_3) = 4.1994 + 0.2(0.6^2 + 0.6(4.1994))= 4.3032545

When x = 0.8, y = 4.3033

y_5 = y_4 + hf(x_4, y_4) = 4.3033 + 0.2(0.8^2 + 0.8(4.3033))= 4.4174496

When x = 1, y = 4.4174

y_6 = y_5 + hf(x_5, y_5) = 4.4174 + 0.2(1^2 + 1(4.4174))= 4.5429404

Therefore, using Euler's method with a step size of 0.2, we estimate that y(1) = 4.5429 (rounded to four decimal places).

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The series is an alternating series that satisfies the conditions of the Alternating Series Test, so we know that the series converges. To approximate the sum of the series, we can use the formula for the remainder of an alternating series:

|Rn| ≤ a(n+1), where a(n+1) is the absolute value of the first term in the remainder.
In this case, the absolute value of the first term in the remainder is 1/(2*(n+1))^2. So we have:
|Rn| ≤ 1/(2*(n+1))^2 To approximate the sum of the series correct to four decimal places, we can find the smallest value of n such that the remainder is less than 0.0001: 1/(2*(n+1))^2 ≤ 0.0001 Solving for n, we get: n ≥ sqrt(500) - 0.5 ≈ 22.36
So, to approximate the sum of the series correct to four decimal places, we need to add up the first 23 terms of the series: S23 = (-1^1-1/2^8) + (-1^2-1/4^8) + (-1^3-1/6^8) + ... + (-1^23-1/46^8) Using a calculator or a computer program, we find that S23 ≈ 0.3342. Therefore, the sum of the series correct to four decimal places is approximately 0.3342.

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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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True. the interpretation of the slope is different in a multiple linear regression model as compared to a simple linear regression model.

The slope and intercept of a line reveal the steepness of the line and the location in which it intersects an axis. The slope and intercept of the logistic relationship of the two variables can be utilized to get the average change rate. The ratio of a change in the variable y to the rise in the x component is known as the the line's slope.

Y = a + bX, where X seems to be the mediating variable and Y is the response variable, is the equation of a linear regression line. A is the intersection (the result of y for x = 0), and b is the line's slope.

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Thr solution to the inequality - 3a < -5 is -6 < -5. This can be written as negative 6 less than negative 5

- 3a < -5

if a = 2

- 3a < -5

substitute into the inequality

= -3(2) < -5

= -6 < -5

Hence, the solution to the given inequality when a = 2 is negative 6 less than negative 5

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Answer:

x= - 2

Step-by-step explanation:

(2x+8)-4(2x-2)=28

2x+8-8x+8=28

-6x+16=28

-6x=12

x= -2

Answer:

the two widths are +50 and +40

Step-by-step explanation:

Answer:

W = 50 and 40

(-90+√100)/2 = 40

and

(-90-√100)/2 = 50

Step-by-step explanation:

Hope it helps

Answer:

slope= 1/10x and the slope represents the increase of the rental cost after x miles driven.

Step-by-step explanation:

i hope this helps :)