How do you sovle 5x-4+7x=5(2x-4)

The span of {u, v} represents a plane in three-dimensional space. w is not in the span of {u, v}. the span of {u, v, w} is the entire three-dimensional space.

(a) The span of {u, v} represents a plane in three-dimensional space. Geometrically, this plane can be visualized as a flat surface extending infinitely in all directions. It includes all possible vectors that can be obtained by scaling and adding u and v. Any vector lying on this plane can be expressed as a linear combination of u and v.

(b) To determine if w is in the span of {u, v}, we need to check if w can be expressed as a linear combination of u and v. We can write w as follows:

w = a*u + b*v

Solving the system of equations formed by equating corresponding components, we have:

-2 = 3a - 2b

2 = -a + 2b

6 = -2a - 6b

Solving this system, we find that there are no values of a and b that satisfy all three equations simultaneously. Therefore, w is not in the span of {u, v}.

(c) The span of {u, v, w} is the entire three-dimensional space. To justify this, we consider the matrix A whose columns are u, v, and w:

A = [u v w] = [1 3 -2; -1 1 2; -2 -6 6]

We can row-reduce matrix A to its echelon form:

[1 3 -2; -1 1 2; -2 -6 6] -> [1 3 -2; 0 4 0; 0 0 0]

The echelon form shows that the columns of A are linearly independent, and they span the entire three-dimensional space. Therefore, any vector in three-dimensional space can be expressed as a linear combination of u, v, and w, indicating that the span of {u, v, w} is the entire three-dimensional space.

Learn more about plane here:

https://brainly.com/question/27927590

#SPJ11

Answer: 3 words

Step-by-step explanation:

what is 9 in a fraction

Answer: Choice B

h(c) = 1 for at least one c between -3 and 4

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

Explanation:

Draw an xy axis system. Plot the points (-3,-1) and (4,2) on this grid. These points come from the fact that h(-3) = -1 and h(4) = 2. These are the endpoints of the h(x) function.

Next, draw horizontal lines through both points. Also, draw vertical lines through the two points as well. A rectangle will form.

The region inside this rectangle is all we care about.

We're told that h(x) has endpoints mentioned earlier, and h(x) is continuous, so that means we have some curve or line through the two points. One such example is shown below. There are infinitely many possible curves to draw out as long as they stay in the rectangle.

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

After you have your h(x) function curve drawn, draw a horizontal line through y = 1 on the y axis. This is the dashed line in the diagram below.

This horizontal line crosses the green h(x) curve at one point or more. In my example, it does so at one point only. However, you could easily draw h(x) so that it crosses y = 1 as many times as you want (just have it squiggle up and down multiple times).

This shows that h(c) = 1 is possible when \(-3 \le c \le 4\). Here c is playing the role of x since it is the input of a function. The h(c) is the output, so that's the y value.

This says that for some input between -3 and 4, it's possible to get an output of 1.

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

Here's a real world example of the intermediate value theorem.

Let's say the endpoints are A and B, and they are two towns.

The h(x) curve is a road connecting the towns.

To go from A to B, or vice versa, we need to cross over some border that is between the towns. The border in this case is the dashed horizontal line in the diagram.

side note: A special use of the intermediate value theorem is to show that a root exists on some interval (if you know the function changes between positive to negative, or vice versa).

Answer:

345 × 20%

= $69 (20% increase)

345 +69

= $414 (final amount with 20% increase)

The expression "over the last few years" may not have the same time span for everyone. A more precise phrase would be "over the past five years."

The phrase "over the last few years" can be subjective and interpreted differently by individuals. It lacks a specific time frame, leaving room for personal interpretation. For some, "few years" could mean two or three years, while others might consider it to be five or more years. To address this ambiguity, a more precise phrase like "over the past five years" would provide a clearer reference to a specific time span.

The use of precise and unambiguous language is crucial in survey questions to ensure consistency and accurate interpretation by respondents. Vague time references can lead to varied responses, making it challenging to analyze and compare survey data effectively. By employing specific time frames, researchers can enhance the reliability and validity of the collected data, enabling more accurate insights and conclusions.

Learn more about Time span

brainly.com/question/20156428

#SPJ11

Answer:

-22

Step-by-step explanation:

-5 + 6 x -3

= -5 + -17

= -5 - 17

= -22

Answer:

-23

Step-by-step explanation:

-b+6x

putting the values

-5+6×(-3)

= -5-18

= -23

The given two-way Frequency table, there are 33 left-handed students who are not in the music program.

The number of left-handed students who are not in the music program, we need to examine the data presented in the two-way frequency table.

From the table, we can see that the number of left-handed students in the music program is 15, and the total number of left-handed students is 48.

the number of left-handed students not in the music program, we subtract the number of left-handed students in the music program from the total number of left-handed students.

Number of left-handed students not in the music program = Total number of left-handed students - Number of left-handed students in the music program

Number of left-handed students not in the music program = 48 - 15

Calculating this, we find that the number of left-handed students not in the music program is 33.

Therefore, there are 33 left-handed students who are not in the music program, based on the data provided in the two-way frequency table.

In conclusion, based on the given two-way frequency table, there are 33 left-handed students who are not in the music program.

To know more about Frequency .

https://brainly.com/question/28821602

#SPJ8

The cosine of angle J is given as follows:

\(\cos{J} = \frac{14\sqrt{2}}{49}\)

The three trigonometric ratios are the sine, the cosine and the tangent of an angle, and they are obtained according to the rules presented as follows:

For the angle J in this problem, we have that:

Hence the cosine of angle J is given as follows:

\(\cos{J} = \frac{4}{\sqrt{98}} \times \frac{\sqrt{98}}{\sqrt{98}}\)

\(\cos{J} = \frac{4\sqrt{98}}{98}\)

\(\cos{J} = \frac{2\sqrt{98}}{49}\)

As 98 = 2 x 49, we have that \(\sqrt{98} = \sqrt{49 \times 2} = 7\sqrt{2}\), hence:

\(\cos{J} = \frac{14\sqrt{2}}{49}\)

A similar problem, also about trigonometric ratios, is given at brainly.com/question/24349828

#SPJ1

Answer:

1. r = -4

3. n=6

5. m = -5

7. x=0.66= \(\frac{2}{3}\)

Step-by-step explanation:

1.

-52=4(7+5r)

-52=28+20r

Subtract 20r from both sides

-20r-52=28

Add 52 to both sides

-20r=80

Divide both sides by -20

r = -4

3.

8(n-5)=-5n+38

8n-40=-5n+38

Add 5n to both sides

13n-40=38

Add 40 to both sides

13n=78

Divide both sides by 13

n=6

5.

-33+5m=2(1+6m)

-33+5m=2+12m

Subtract 12m from both sides

-33-7m=2

Add 33 to both sides

-7m=35

Divide both sides by -7

m=-5

7.

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

14x-4=2x+4

Subtract 2x from both sides

12x-4=4

Add 4 to both sides

12x=8

Divide both sides by 12

x=0.66...

The approximate surface-area-to-volume ratio of a bowling ball with a radius of 5 inches is 0.6

To find the approximate surface-area-to-volume ratio of a bowling ball with a radius of 5 inches, we will first calculate the surface area (SA) and volume (V) of the ball, and then divide the surface area by the volume.

Step 1: Calculate the surface area (SA) using the formula for the surface area of a sphere:

\(SA = 4 πr^2\)
\(SA = 4 π5^2\)
\(SA = 4 π(25)\)
\(SA=100π\)

Step 2: Calculate the volume (V) using the formula for the volume of a sphere:

\(V = \frac{4}{3} π (r)^{3}\)
\(V = \frac{4}{3} π (5)^{3}\)
\(V = \frac{4}{3} π (125)\)
V = 166.67 π cubic inches

Step 3: Calculate the surface-area-to-volume ratio (SA/V)
\(\frac{SA}{V} = \frac{100}{166.67}\)
\(\frac{SA}{V}=\frac{100}{166.67}\)

\(\frac{SA}{V}= 0.6\)

So the approximate surface-area-to-volume ratio of a bowling ball with a radius of 5 inches is 0.6. The best answer from the choices provided is A.

To know more about "volume of a sphere" refer here:

https://brainly.com/question/30522025#

#SPJ11

True if the lines were not vertical this would be false.

Step-by-step explanation:

90007

this is your answer

hope it is helpful to you

Answer:

90007

Step-by-step explanation:

the power of the calculator

Step-by-step explanation:

just breathe and read it carefully. no need for panic. all you need is common sense, nothing fancy.

the tools and definitions to use are given in the description. we only need to use them.

the height of the point of view is 44 + 6 = 50 ft (because the eyes are again 6 ft above the top of the hill, and we are dealing with what the eyes can see).

so, the seeable distance D in miles is then

D = sqrt(2×50) = sqrt(100) = 10 miles

she will be able to see approximately 10 miles to the horizon.

1.05 should be it

Step-by-step explanation:

In a recursive formula, each term of the sequence is found by using the previous term.  In this case, the sequence is geometric because we are multiplying each term by the same constant, called a common ratio.

To find this common ratio, we find the percent of change between terms.  We do this by using the formula

% change = (amount of change)/(original amount)

The amount of change between the first two terms is 105-100 = 5.  This makes the percent change

5/100 = 0.05

The amount of change between the second two terms is 110.25-105 = 5.25.  This makes the percent change

5.25/105 = 0.05

However, the common ratio in the sequence is not 0.05.  This is because multiplying by this decimal would make the terms decrease instead of increasing.  In this case, we are taking 100% of the number and adding an extra 5% (0.05 = 5%); this makes our common ratio 105% = 1.05.

This gives us the recursive formula

Answer:

the correct answer is C. f(n + 1) = 1.05f(n)

Step-by-step explanation:

just got it right 2020 edg

Answer:

\(2p^2\)

Step-by-step explanation:

Step 1: Apply the exponentiation property:

\((8p^6)^\frac{1}{3} = 8^\frac{1}{3} * (p^6)^\frac{1}{3}\)

Step 2: Simplify the cube root of 8:

The cube root of 8 is 2:

\(8^\frac{1}{3} =2\)

Step 3: Simplify the cube root of \((p^6)\):

The cube root of \((p^6)\) is \(p^\frac{6}{3} =p^2\)

Step 4: Combine the simplified terms:

\(2 * p^2\)

So, the simplified expression is \(2p^2\).

Answer:

the answer is 3/4 because 7/12 + 2/12 is 9/12 which simplified is 3/4

Step-by-step explanation:

i found 3/4 but am not that sure if it's correct

By definition two quantities are proportional of each other if it can be express like:

where k is the constant of proportionality.

Now, by definition a line is a set of points that have the same rate of change between them, no matter which points we take.

Thus we can argue that a line always have a constant rate but they don't necessarily represent proportional quantities.

The value of the additional data point is 36

To find the value of the additional data point, we can use the concept of the sample mean.

Given the data set: 23, 28, 20, 33, 42, 12, 19, 50, 36, 25, 19.

The sample mean of this data set is 26.5.

To find the value of the additional data point, we can use the formula for the sample mean:

(sample mean) = (sum of all data points) / (number of data points)

In this case, we have 11 data points in the original data set. Let's denote the value of the additional data point as x.

Therefore, we can set up the equation:

26.5 = (23 + 28 + 20 + 33 + 42 + 12 + 19 + 50 + 36 + 25 + 19 + x) / 12

Multiplying both sides of the equation by 12 to eliminate the fraction, we have:

318 = 282 + x

Subtracting 282 from both sides of the equation, we find:

x = 318 - 282

x = 36

Know more about sample mean here;

https://brainly.com/question/33323852

#SPJ11

.

Answer:

297

Step-by-step explanation:

calculator

Answer: 363

Step-by-step explanation: calculator

Answer:

2

Step-by-step explanation:

2+2ΩΩ··Ω·Ω<~]°μμ°°Гekdksdd

Answer:

13

Step-by-step explanation:

You can think of the 2x + 5 as a rule that works on your input and spits out something new. The rule says to "times by 2 and then add 5" SO... take the input, 4, in this case, 4 × 2 is 8 and then add 5 and out comes the output 13.

in mathey writing it looks like this:

2x+ 5, x = 4

2(4) + 5

8 + 5

13

Answer:

pencils=$4

pen=$1.5

Step-by-step explanation:

Step one:

given data

let pencils be x and pens be y

Mara bought 8 boxes of pencils and 3 packages of pens for $24

8x+3y=24------------1

Elaine bought 4 boxes of pencils and 6 packages of pens for $30

4x+6y=30------------2

solve 1 and 2 simulteneoulsy

8x+3y=24---------X1

4x+6y=30----------X2

subtract the answer bellow

8x+3y=24

8x+12y=60

0-9y=-36

divide both sides by- 9

y=36/9

y=$4

put y= 4 in 1

8x+3*4=24

8x+12=24

8x=24-12

8x=12

divide both side by 8

x= 12/8

x=3/2

x= $1.5

Circular equations are often organized in the following form:

\((x-h)^2+(y-k)^2=r^2\)

To find the equation of a circle given its center and a point:

We're given:

Plug the center into the general equation:

\((x-(-7))^2+(y-7)^2=r^2\\(x+7)^2+(y-7)^2=r^2\)

Plug in the given point (-2,-5) and find r²:

\(((-2)+7)^2+((-5)-7)^2=r^2\\(5)^2+(-12)^2=r^2\\25+144=r^2\\r^2=169\)

Plug the center and radius back into the original equation:

\((x-h)^2+(y-k)^2=169\\(x+7)^2+(y-7)^2=169\)

\((x+7)^2+(y-7)^2=169\)

Answer:

D. x= 4, y = 2

Step-by-step explanation:

Since it's multiple choice, you can plug in the values

Answer:

Step-by-step explanation: