determine if the following statement is true or false. a basis for a vector space vv is a set ss of vectors that spans vv.

Answer:

=

Step-by-step explanation:

Make the mixed number into an improper fraction first

- 1 11/20 = -31/20

-31 ÷ 20 = -1.55

-1.55 = -1.55

or

-1.55 = - 1 11/20

Hope this helped!

Have a supercalifragilisticexpialidocious day!

Answer:

-1.55 = -1.55

or

-1.55 = - 1 11/20

i love bunnies

Answer:

Step-by-step explanation:

1  .  2 ( l + b )  =  70

2  .

\(\sqrt{l^2+b^2} = 25\\l^2+b^2 = 625\)

l + b  =  35

\((l + b)^{2} = 35^2\\(l+b)^2 = 1225\)

\(l^2+b^2+2lb = 1225\)

625 + 2lb  =  1225

2lb  =  600

lb  =  300

on solving both the equation we get l and b as 20 and 15

The simplex method is a widely used algorithm for solving linear programming problems, which involve optimizing a linear objective function subject to linear constraints. False.

However, the simplex method does not explicitly require the variables to be nonnegative in order to find a solution.

The simplex method starts with an initial feasible solution and iteratively improves it by moving along the edges of the feasible region, ultimately reaching the optimal solution. During the iterations, the variables can take any real values, including negative values.

That being said, some variations of the simplex method, such as the dual simplex method, have been developed specifically to handle problems with nonnegativity constraints. These variations can be used when variables are required to be nonnegative.

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Two statements that would prove the similarity of the triangles are given as follows:

Two triangles are defined as similar triangles when they share these two features listed as follows:

The equivalent side lengths for this problem are given as follows:

The equivalent angles for this problem are given as follows:

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Answer:

y = 6x + 3

Step-by-step explanation:

6x - y = 1

6x -1 = y

Slope = 6

Point (-1,-3)

y-intercept = -3 - (6)(-1)

= -3 + 6 = 3

y = 6x + 3

240 gallons of a 50% antifreeze solution must be mixed with 80 gallons of 10% antifreeze to get a mixture that is 40% antifreeze.

Let's call the amount of 50% antifreeze solution that we want to mix with the 80 gallons of 10% antifreeze "x".

The total volume of the mixture after mixing x gallons of 50% antifreeze solution with 80 gallons of 10% antifreeze solution is given by (x + 80) gallons.

The concentration of antifreeze in the mixture is given by the weighted average of the antifreeze concentrations in the two solutions, where the weight for each solution is proportional to its volume:

(0.5x) + (0.1 * 80) = (0.4 * (x + 80))

Expanding and solving for x, we get:

0.5x + 8 = 0.4x + 32

0.1x = 24

x = 240

Therefore, we need to mix 240 gallons of 50% antifreeze solution with 80 gallons of 10% antifreeze solution to get a mixture that is 40% antifreeze.

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Answer:

B

Step-by-step explanation:

Imagine a mirror on the X axis, looking at the original triangle in the mirror would make the new triangle appear.

Answer:

Reflection across the x-axis

Step-by-step explanation:

The two shapes are just simply being reflected across the x-axis.

Hope this helps!:)

Answer:

Thinking graphically, these correspond to the graph of the straight line (a) missing the graph of the parabola entirely, (b) kissing the parabola at one point or (c) cutting across the parabola and coinciding with it at 2 points.

Step-by-step explanation:

Explanation:

Graphically, a quadratic equation is a parabola and a linear equation is a straight line.

i hope it helps

Answer:

$1.24

Step-by-step explanation:

use a proportion.

$3.10/5 = x/2

5x = 2 × $3.10

x = $1.24

Answer:

$1.24

Step-by-step explanation:

$3.10 for 5 bags

I bag = 310/5= 62

Move the decimal point back two times which is 0.62

2 bags cost 0.62*2= 1.24

= $1.24

The width of the rectangular prism, based on the given volume, height, and the fact that the length is equal to the width, is approximately 12.27 centimeters.

Let's denote the width of the rectangular prism as W, the height as H (7 centimeters), and the length as L. We are given that the volume of the prism is 448 cubic centimeters.

The volume of a rectangular prism is calculated as V = L * W * H.

Substituting the given values, we have:

448 = L * W * 7

To find the width W, we need to isolate it in the equation. Dividing both sides of the equation by (L * H), we obtain:

W = 448 / (L * 7)

Since we are given that the length L is equal to the width, we can replace L with W:

W = 448 / (W * 7)

To simplify further, we divide both sides of the equation by 7:

W/7 = 448 / W

Cross-multiplying the equation, we have:

W^2 = 448 * 7

Taking the square root of both sides, we find:

W ≈ √(448 * 7)

W ≈ 12.27 centimeters

Therefore, the width of the rectangular prism, based on the given volume, height, and the fact that the length is equal to the width, is approximately 12.27 centimeters.

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Graphically, the solution to a system of two independent linear equations is represented by the point of intersection of the two lines.

The solution to a system of two independent linear equations can be graphically represented as the point of intersection between the two lines.

When two linear equations are plotted on a graph, each of them will generate a straight line, and their solution is the point that satisfies both equations simultaneously. This point is represented by the intersection of the two lines.

If the two linear equations represent parallel lines, then there is no solution since the lines do not intersect. If the two linear equations represent the same line, then there are infinitely many solutions.

However, in the case where the two linear equations are independent, meaning they have different slopes, and different y-intercepts, they will intersect at a unique point that represents their solution. In other words, the point of intersection represents the ordered pair that satisfies both equations and is the solution to the system of equations.

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Answer: 5 s

Step-by-step explanation:

Given

Height of the rocket can be modelled as \(h=80-16t^2\)

Rocket will land on earth when it's height becomes 0

\(\Rightarrow 80t-16t^2=0\\\Rightarrow t(80-16t)=0\\\\\Rightarrow t=0\ \text{or}\ t=\dfrac{80}{16}=5\ s\)

Neglecting 0 value

Thus, rocket remains in air for 5 s.

bro idrk but I think

Answer:  The correct option is

(A) {-1, -5}.

Step-by-step explanation:  We are given to find the zeroes of the quadratic function graphed in the figure shown.

We know that

the zeroes of a quadratic function f(x) are the value of x for which f(x) is equal to zero.

That is, the points on the graph where the curve crosses the X-axis.

From the graph, we note that the curve of the function crosses the X-axis at the points x = 1 and x = -5.

Therefore, the zeroes of the given function are x = -1 an x = -5.

Thus, option (A) is CORRECT.

the general form of the equation is

where m is the slope and b the y-intercept

from the graph we can notice the y-intercept is 0 because touch the y-axis on 0, so b=0

now we can repalce a point and b on the general equation to find the slope, m

i will use the point ( 90 , 30 )

so

the slope is 1/3

so the equation is

Sarah's truck can carry a maximum of 1351.5 pounds. She puts a 100 - pound bag of cement mix in the truck. Which inequality can be used to find b, the number of 4.5-pound bricks that can also be put in the truck?​

___________________________________________

Maximum of 1351.5 pounds

Total ≤ 1351.5 pounds

The number on bricks = b

b*4.5 = bricks weight

100 + 4.5*b ≤ 1351.5

__________________

Can you see the updates?

___________________

Answer

100 + 4.5*b ≤ 1351.5

1351.5 ≥ 100 + 4.5*b

The critical value constructed with a confidence interval for the population mean with the confidence level of 90% and 20 degrees of freedom is equal to 31.4104.

As given in the question,

Confidence interval for the population mean with the confidence level = 90%

Degree of freedom is equal to 20 degree

Confidence interval  = 100 - 90

                                  = 10%

                                  = 0.1

Significance level = 0.1/2

                              = 0.05

Using chi square test ,

Critical value using critical value calculator is equal to 9.5908 and 34.1696.

using test statistic follows the χ²-distribution with 20 degrees of freedom.

Critical value is equal to  31.4104

Critical region lies within the range of  [31.4104, ∞)

Therefore, the critical value for the given confidence interval and 20 degree of freedom.

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Answer:

True.

Explanation:

When solving equations with unknowns on both sides, it is generally recommended to first deal with the variable terms before dealing with the constant terms. This involves simplifying the equation by combining like terms and isolating the variable on one side of the equation. Once the variable is isolated, you can then solve for its value.\(\)

Answer:

okay buddyn

.............

There are eight categories in derivative classification.

Therefore, there are eight categories in derivative classification.

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The answer would be 6,000,000

Both Mark and Josefina obtained the same y-intercept value of -6, which means that their equations are equivalent and correct. Therefore, both Mark and Josefina are correct in writing the equation of the line .

Both Mark and Josefina could be correct in their equations, or one of them could be correct while the other is not. To determine the accuracy of their equations, we need to analyze the information provided and apply the slope-intercept form of a linear equation, which is y = mx + b, where m represents the slope and b represents the y-intercept.

In summary, we need to evaluate the equations written by Mark and Josefina, which have a slope of -5 and pass through the point (-2, 4), to determine if either or both of them are correct.

Now let's explain further:

To find the equation of a line with a given slope and passing through a given point, we can substitute the values into the slope-intercept form of a linear equation.

Mark's equation: y = -5x + b

Josefina's equation: y = -5x + c

In both equations, the slope is correctly given as -5. However, to determine the accuracy of their equations, we need to find the y-intercepts, represented by b and c, respectively.

Given that the line passes through the point (-2, 4), we can substitute these coordinates into the equations:

For Mark's equation: 4 = -5(-2) + b

Simplifying, we get: 4 = 10 + b

Subtracting 10 from both sides, we find: b = -6

For Josefina's equation: 4 = -5(-2) + c

Simplifying, we get: 4 = 10 + c

Subtracting 10 from both sides, we find: c = -6

Both Mark and Josefina obtained the same y-intercept value of -6, which means that their equations are equivalent and correct. Therefore, both Mark and Josefina are correct in writing the equation of the line with a slope of -5 that passes through the point (-2, 4) as y = -5x - 6.

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The measure of angle m<2 for the given linear pair is found as 109°.

For the given question;

<1 and <2 form a linear pair.

m<1 = (18r - 1)° and m<2 = (23r + 17)°

Thus, from the property of the linear pair;

m<1  +m<2 = 180

Put the values;

(18r - 1)° + (23r + 17)° = 180

Simplify the expression.

18r - 1 + 23r + 17 = 180

41r = 180 - 16

r = 4

m<2 = (23r + 17)°

m<2 = (23×4 + 17)°

m<2 = 109°

Thus, the measure of angle m<2 for the given linear pair is found as 109°.

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Answer:

-128

Step-by-step explanation:

Given, f(x)=2x

3

−21x

2

+36x−20

∴f

′

(x)=6x

2

−42x+36

When f(x) is a maximum or a minimum, f

′

(x)=0

Hence, 6x

2

−42x+36=0

x

2

−7x+6=0

x

2

−6x−x+6=0

x(x−6)−1(x−6)=0

(x−6)(x−1)=0

x=1,6

Again f

′′

(x)=12x−42

=6(2x−7)

Now, when x=1,f

′′

(x)=−30 ....[negative]

And when x=6,f

′′

(x)=30 ....[positive]

Hence, f(x) is maximum for x=1 and minimum for x=6.

The maximum and minimum values of f(x) are

f(1)=2(1)

3

−21(1)

2

+36(1)−20

=2−21+36−20=−3

f(6)=2(6)

2

−21(6)

2

+36(6)−20

=432−756+216−20=−128

Answer:

\(A_X=\frac{15x^2}{16}\)

Step-by-step explanation:

From the question we are told that:

Base of Flower bed \(b=\frac{x}{2}\)

Height of Flower bed \(h=\frac{x}{4}\)

Generally the equation for Area of garden left A_X is mathematically given by

 \(A_X=Area\ of\ Garden\ A_g\ - Area\ of\ flower\ bed\ A_f\)

Where

 \(A_f=b*h\)

 \(A_f=\frac{1}{2}*\frac{x}{2}*\frac{x}{4}\)

 \(A_f=\frac{x^2}{16}\)

Therefore

 \(A_X= A_g - A_f\)

 \(A_X=x^2-\frac{x^2}{16}\)

 \(A_X=\frac{15x^2}{16}\)

Answer:

15

Step-by-step explanation:

the range is the largest number take away the smallest number

56-41=15

The cash value of the computer system in 3 years will be $1632. The correct option is the third option $1632

From the question, we are to determine the cash value of the computer system in 3 years

From the given information,

The computer system cost $2,395 and it will depreciate at a rate of 12% a year

After the first year, the worth of the computer system will be

$2,395 - (12% of $2,395)

$2,395 - (0.12 × $2,395)

= $2,395 - $287.4

= $2107.6

After the second year, the worth of the computer system will be

$2107.6 - (12% of $2107.6)

$2107.6 - (0.12 × $2107.6)

= $2107.6 - $252.912

= $1854.688

After the third year, the worth of the computer system will be

$1854.688 - (12% of $1854.688)

$1854.688 - (0.12 × $1854.688)

= $1854.688 - $222.56256

= $1632.12544

≅ $1632

Hence, the cash value of the computer system in 3 years will be $1632. The correct option is the third option $1632

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Answer:

230 in.²

Step-by-step explanation:

20 · 10 = 200 in.²

5 · 6 = 30 in.²

200 in.² + 30 in.²

Answer:

230 sq in

Step-by-step explanation:

You can find entire area (20 x 16) and subtract out the area of the missing piece (15 x 6)

20 x 16 = 320

15 x 6 = 90

320 - 90 = 230

Answer:

441 miles

Step-by-step explanation:

Rate of the Car: 819/13 = 63mph

Miles Driven in 7 Hours: 63*7 = 441 miles

Answer:

441 miles

Step-by-step explanation:

* means multiply

819/13 = x/7

13 * x = 819 * 7

13x = 5733

x = 5733 ÷ 13

x = 441