I need the answers to this ASAP. Please help !! I suck so bad at geometry. Offering 50 points.

Set B_V spans V and is linearly independent, satisfying the requirements for a basis.

The statement is true.

If W is a subspace of a vector space V and B_W is a basis for W, then it is true that there exists a unique subspace U such that V = W ⊕ U, where ⊕ represents the direct sum of subspaces.

This means that every vector in V can be uniquely expressed as the sum of a vector in W and a vector in U.

Additionally, there exists a basis B_U for U such that the union of B_W and B_U, denoted as B_V = B_W ∪ B_U, forms a basis for the entire vector space V.

This means that the set B_V spans V and is linearly independent, satisfying the requirements for a basis.

Hence, the statement is true.

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Answer:

Step-by-step explanation:

all you have to do is replace the x in each equation with the x in the table for example for the first one y1 would be -8 and y2 would be 28/3

Answer:

p=7.5 or 7 1/2

Step-by-step explanation:

To solve this equation you need to isolate the P

1) We can multiply P and the numerator (In this case 2) since it is the same thing. The rewritten equation is 2p/3=5.

2) Now we can multiply both sides by 3 to isolate 2p. The equation is now 2p=15

3) The next step is to divide both sides by 2 so we can isolate the p. We now have p=7.5 or 7 1/2

                                          Hope this helps :)

The angle opposite to side BC in triangle ABC is approximately 38.213 degrees.

We have,

To find the angle opposite to side BC in triangle ABC, we can use the Law of Cosines.

The Law of Cosines states that in a triangle with sides of lengths a, b, and c, and the angle opposite to side c being denoted as C, the following equation holds:

c² = a² + b² - 2ab x cos(C)

In this case,

Side a is BC with length 12, side b is AC with length 20, and side c is AB with length 11. We want to find the angle C, which is opposite to side BC.

Plugging the given values into the Law of Cosines equation:

11² = 12² + 20² - 2 x 12 x 20 x cos C

121 = 144 + 400 - 480 x cos C

121 = 544 - 480 x cos C

480 x cos C = 544 - 121

480 x cos C = 423

cos C = 423/480

Now, we can find the angle C by taking the inverse cosine (arccos) of (423/480):

C = arccos(423/480)

Using a calculator, we find that C is approximately 38.213 degrees.

Therefore,

The angle opposite to side BC in triangle ABC is approximately 38.213 degrees.

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Answer:

100 cubic feet

Step-by-step explanation:

To find the volume of a rectangular prism, we need to multiply the area of the base by the height.

Given:

Area of the top face = 20 ft²

Height = 5 ft

The volume (V) can be calculated as follows:

V = Area of the top face * Height

V = 20 ft² * 5 ft

V = 100 ft³

Therefore, the volume of the rectangular prism is 100 cubic feet.

Mbhalati's statement is valid.

The charge of R180 is less than the total value of his deposit is R2000.

To determine whether Mbhalati's statement is valid, we need to calculate the total value of his deposit and compare it to the stated charge.

Given information:

Value of notes deposited: R1500

Value of coins deposited: R500

Charge for the deposit: R180

To calculate the total value of Mbhalati's deposit, we add the value of the notes and the value of the coins:

Total deposit value = Value of notes + Value of coins

Total deposit value = R1500 + R500

Total deposit value = R2000

Now, let's compare the total deposit value to the stated charge:

Total deposit value = R2000

Stated charge = R180

Mbhalati's statement would be valid if the stated charge (R180) is equal to or less than the total deposit value (R2000).

Let's check:

Is R180 ≤ R2000?

Yes, R180 is less than R2000.

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Answer:

To find the experimental probability of not spinning a 1, we need to determine the total number of spins and the number of spins that resulted in not landing on 1.

From the bar graph, we can see that the bar labeled "1" ends at 8, indicating that the spinner landed on 1 a total of 8 times.

To find the total number of spins, we sum up the values at the end of each bar:

Total number of spins = 8 + 6 + 9 + 11 + 9 + 7 = 50

The number of spins that did not result in landing on 1 is the sum of the values at the ends of the bars labeled 2, 3, 4, 5, and 6:

Number of spins not landing on 1 = 6 + 9 + 11 + 9 + 7 = 42

Now, we can calculate the experimental probability of not spinning a 1 by dividing the number of spins not landing on 1 by the total number of spins:

Experimental probability of not spinning a 1 = Number of spins not landing on 1 / Total number of spins

Experimental probability of not spinning a 1 = 42 / 50

Experimental probability of not spinning a 1 = 0.84 or 84%

Therefore, the experimental probability of not spinning a 1 is 84%.

Step-by-step explanation:

Answer: 21/25 or 0.84

Step-by-step explanation:

8+6+9+11+9+7=50

50-8=42

42/50=21/25=0.84

Answer:

Step-by-step explanation:

According to the sources I found, cows consume an average of 3 to 30 gallons of water per day. One gallon is equivalent to 3.78541 liters. Therefore, a cow drinks between 11.35623 liters and 113.5623 liters per day.

If we assume that each cow drinks 30 gallons (113.5623 liters) per day, then a full trough would have enough water for 2.37 cows per day (226.8 liters / 113.5623 liters per cow). Therefore, Zipho’s statement is incorrect if we assume that each cow drinks 56 liters per day.

Answer:

Step-by-step explanation:

This number line says that  we can take all values of x that are less than or equal to 2. That is, the solution is

                                  [tex]x\leq 2[/tex]

NOTE: if the circle at 2 were not filled in then that would mean x<2 (2 would not be an accepted value of x)

Answer:

k = - 9

Step-by-step explanation:

the equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

given equation of PQ is

3x - 2y = 12 ( subtract 3x from both sides )

- 2y = - 3x + 12 ( divide through by - 2 )

y = [tex]\frac{3}{2}[/tex] x - 6 ← in slope- intercept form

with slope m = [tex]\frac{3}{2}[/tex]

now calculate the slope of PQ using the slope formula and equate to [tex]\frac{3}{2}[/tex]

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = P (6, 3 ) and (x₂, y₂ ) = Q (- 2, k )

m = [tex]\frac{k-3}{-2-6}[/tex] = [tex]\frac{k-3}{-8}[/tex]

equating the slopes of PQ

[tex]\frac{k-3}{-8}[/tex] = [tex]\frac{3}{2}[/tex] ( cross- multiply )

2(k - 3) = - 8 × 3 = - 24 ( divide both sides by 2 )

k - 3 = - 12 ( add 3 to both sides )

k = - 9

Answer:

2 x 2

Step-by-step explanation:

Given the dimensions of the first matrix are 2x3 and the dimensions of the second matrix are 3x2, then the dimensions of the product will be 2x2.

Remember that the dimensions of a matrix are read by rows*columns.

The product of an m×n matrix and an n×k matrix is an m×k matrix

Answer:

Here is an example of a dot plot (in text, did as best as I could to represent it) that matches the description you provided:

Number of Minutes Spent on Math Homework Problem

 |

10|    o

9| o

8|

7|       o

6|

5|          o

4|

3|             o

2|

1|                o

0|___________________

  1  2  3  4  5  6  7  8  9  10

  Students

This dot plot shows the number of minutes spent on a math homework problem by ten students. The mean amount of time is represented by the dot at the y-value of 9, and the MAD (Mean Absolute Deviation) is represented by the spread of the data around the mean.

There must exist a vertex u in T such that the distance between u and v is at most (n-1)/2.

To prove the existence of a vertex u in tree T such that the distance between u and v is at most (n-1)/2, we can employ a contradiction argument. Assume that such a vertex u does not exist.

Since the number of vertices in T is odd, there must be at least one path from v to another vertex w such that the distance between v and w is greater than (n-1)/2.

Denote this path as P. Let x be the vertex on path P that is closest to v.

By assumption, the distance from x to v is greater than (n-1)/2. However, the remaining vertices on path P, excluding x, must have distances at least (n+1)/2 from v.

Therefore, the total number of vertices in T would be at least n + (n+1)/2 > n, which is a contradiction.

Hence, there must exist a vertex u in T such that the distance between u and v is at most (n-1)/2.

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One way to show a function is 1-1 is to show that if two outputs are the same, then the inputs had to have been the same as well:

   If f(a) = f(b), then a=b.

If you can show this, you've shown that each output is paired with a unique input, so the function is 1-1.

For this function, we'd first start assuming that f(a) = f(b):

              f(a) = f(b)

         -3a+5 = -3b+5

Now we'll solve this for a:

        -3a + 5 = -3b + 5

   -3a + 5 - 5 = -3b + 5 - 5

               -3a = -3b

      -3a ÷ (-3) = -3b  ÷ (-3)

                   a = b

This shows that the only way the outputs are the same is if the inputs are the same, which means each output comes from a unique input, so the function is 1-1.

The side and angles of the right triangle are as follows:

1. 5 units

2. 5 units

3. tan ∅ = 4 / 5

The side of a right triangle can be found using Pythagoras's theorem and the angles of a right angle triangle can be found using trigonometric ratios as follows:

c² = a² + b²

where

Therefore,

1.

c² = 4² + 3²

c = √16 + 9

c = √25

c = 5 units

2.

a² = 13² - 12²

a = √169 - 144

a = √25

a = 5 units

3.

tan ∅ = opposite / adjacent

tan ∅ = 4 / 5

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Answer:

50

Step-by-step explanation:

The angles of a triangle add up to 180°

So

53+77+x=180

x=180-130

x=50

The 95% confidence interval for the total percentage of national park visitors who support supporting endangered species is approximately 33.3% to 52.7%.

To calculate the 95% confidence interval for the percentage of national park visitors who support supporting endangered species, we can use the formula:

Confidence Interval = Sample proportion ± (Critical value * Standard error)

Given that 43% of a sample of 100 visitors believe that additional funds should be used to preserve endangered species, the sample proportion is 0.43.

To calculate the standard error, we use the formula:

Standard Error = sqrt((p * (1 - p)) / n)

where p is the sample proportion and n is the sample size. In this case, p = 0.43 and n = 100.

Standard Error = sqrt((0.43 * (1 - 0.43)) / 100) ≈ 0.0495

The critical value for a 95% confidence interval can be obtained from a standard normal distribution table. For a 95% confidence level, the critical value is approximately 1.96.

Now we can calculate the confidence interval:

Confidence Interval = 0.43 ± (1.96 * 0.0495)

Confidence Interval = 0.43 ± 0.097

The lower bound of the confidence interval is 0.43 - 0.097 = 0.333

The upper bound of the confidence interval is 0.43 + 0.097 = 0.527

Therefore, the 95% confidence interval for the total percentage of national park visitors who support supporting endangered species is approximately 33.3% to 52.7%.

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Answer:

b=76* (because different angles)

Answer:

76

Step-by-step explanation

*shows a flat angle (180 degrees)

180 - 104 = 76

Answer: $4,998

Step-by-step explanation:

34000*1.147

38998-34000=4998

The expression that can be used to find the amount of oatmeal in the container, obtained from the formula for the volume of a cylinder is π · 2² · 8. The correct option is therefore, the option C.

C. π · 2² · 8

The volume of a cylinder is; V = π × Radius² × Height

The part of the question that appear missing, obtained from a similar question on the internet, includes;

The radius of the can = 2 inches

The height to which the can was filled = 8 inches

The volume of oatmeal in the can is therefore;

V = π·r²·h

Where;

r = The radius of the can = 2 inches

h = The height to which the oatmeal is filled = 9 - 1 = 8 inches

Therefore;

V = π × 2² × 8

The expression that can be used to find the amount of oatmeal in the can is therefore;

C. π · 2² · 8

The possible question options, obtained from the online question are;

A. (4·π·9) - 1

B. 2·π·8

C. π·2²·8

D. (4·π·9)/3

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Hello!

4 times the sum of x and y

4 * (x + y)

it's a mutliplication

the sum of 4x and y

= 4x + y

it's a sum

Answer:one is multiplying other is some.

Step-by-step explanation:

4xy and =4xy

these two are

Answer:

6

(If you like this answer i would appreciate if u give brainliest but otherwise, i hope this helped ^^)

Step-by-step explanation:

To find the missing number in the given sequence, let's analyze the pattern:

2, 4, 3, 6, 6, 3, 8, 9, 7, 9, 8, ???

Looking at the sequence, we can identify a few patterns:

The sequence alternates between increasing and decreasing numbers.

The first two numbers, 2 and 4, are increasing.

The next two numbers, 4 and 3, are decreasing.

The following two numbers, 3 and 6, are increasing.

The subsequent two numbers, 6 and 3, are decreasing.

The next two numbers, 3 and 8, are increasing.

The subsequent two numbers, 8 and 9, are increasing.

Based on these observations, it appears that the sequence is following a pattern where it alternates between increasing and decreasing numbers, but the specific values being added or subtracted are not consistent.

Now let's determine the missing number:

From the pattern, the next two numbers should be decreasing. Following the pattern of alternating between increasing and decreasing numbers, the missing number after the last given number (8) should be less than 9.

Let's assume the missing number is x:

8 - x

Since the previous decreasing sequence was 6 - 3, we can assume that x is 1 less than the previous number (3):

8 - (3 - 1) = 8 - 2 = 6

Therefore, the missing number in the sequence is 6.

The complete sequence is:

2, 4, 3, 6, 6, 3, 8, 9, 7, 9, 8, 6

There were 14 games played in total during April and May of 2022.

To determine the total number of data values (games played) represented in the frequency table,

Add all of the frequencies indicated in the table.

So, we have:

0 goals scored in 1 game

3 games with a single goal scored 2 goals scored in 2 games

4 games with three goals

2 games with four goals 1 game with 7 goals

And 1 game with 9 goals

Adding up all of these frequencies,

We get,

⇒ 1 + 3 + 2 + 4 + 2 + 1 + 1 = 14

Therefore,

There were 14 games played.

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The value of y is 10.8.

Here, we have,

given that,

The equation is: 5/3log_4(x)=9

or, 5 log₄x = 27

or, log₄x = 27/5

now, we have,

Using the property, x = loga, a = eˣ

we get,

x = 4²⁷/⁵

or, x = 4⁵°⁴

or, x = 2¹⁰°⁸

so, comparing with x=2^y , we get,

y = 10.8

Hence, The value of y is 10.8.

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The domain, the range, and the intervals over which the function is increasing, decreasing, or constant is  [-2, -1],  [-1, 1] and  [1, 3].

We are given that;

The graph of the function

Now,

From the graph, we can see that:

The domain of the function is [-2, 3], since these are the smallest and largest x-values that the graph covers.

The range of the function is [-1, 2], since these are the smallest and largest y-values that the graph covers.

The intervals of the function are:

Increasing on [-2, -1], since the graph is rising on this interval.

Constant on [-1, 1], since the graph is flat on this interval.

Decreasing on [1, 3], since the graph is falling on this interval.

Therefore, we can write:

Domain: [-2, 3]

Range: [-1, 2]

Intervals:

Increasing: [-2, -1]

Constant: [-1, 1]

Decreasing: [1, 3]

Therefore, by the function the answer will be [-2, -1],  [-1, 1] and  [1, 3].

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The required area of the given parallelogram is 156 square yards.

Given that, the base of the parallelogram is 12 yd and height of the given parallelogram is 13 yd.

To calculate the area of the parallelogram by using the formula,

Area of parallelogram = base × height.

That implies, Area of given parallelogram(A) = base × height.

A = 12 × 13.

A = 156 square yards.

Therefore, the required area of the given parallelogram is 156 square yards.

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Finding the area of irregular shapes can be challenging, as they do not have a regular geometric formula to calculate their area. However, there are a few methods you can use depending on the shape and available information. Here are three common approaches:

It's important to note that these methods provide approximations and may not yield exact results, especially for highly complex irregular shapes. Additionally, there may be specialized techniques for specific types of irregular shapes. In some cases, using computer software or online tools designed for area calculations can also be helpful.

Remember to carefully assess the shape and available information to choose the most suitable method for finding the area of an irregular shape in your specific situation.

Answer: Please See attached file for answers and work for problems 1-2.

1. a= 7

  b= 70 degrees

2. a= 6

  b= 19pi/20

Step-by-step explanation:

Use the rule(s):

[tex]z_{1} z_{2} =r_{1} r_{2} cis[/tex](θ[tex]_{1}[/tex]+θ[tex]_{2}[/tex])

[tex]\frac{z_{1} }{z_{2}} =\frac{r_{1} }{r_{2}}cis[/tex](θ[tex]_{1}[/tex]-θ[tex]_{2}[/tex])

and isolate it to standard form: a (cos b + i sin b)

you can also rewrite that as a (cis b)