simplify 8c³d²/4cd²

Answer:

Step-by-step explanation:

The base of R2 is option (e) as none of the given options satisfy the criteria for being a base of R2.

To determine whether a set of vectors forms a base of R2, we need to check two conditions: linear independence and span. A base of R2 should consist of two linearly independent vectors that span the entire R2 space.

In option (a), the two vectors (2, 1) and (4, 3) are not linearly independent as one can be obtained by scaling the other. Therefore, option (a) is not a base of R2.

In option (b), the three vectors (0, 0), (1, 2), and (1, 3) are not linearly independent because the third vector can be obtained by adding the first two. Hence, option (b) is not a base of R2.

In option (c), the two vectors (2, -4) and (-1, 2) are linearly independent, but they do not span the entire R2 space. Therefore, option (c) is not a base of R2.

In option (d), the three vectors (0, 1), (1, 2), and (1, 3) are not linearly independent because the third vector can be obtained by adding the first two. Thus, option (d) is not a base of R2.

Since none of the given options satisfy the conditions for being a base of R2, the answer is option (e), which indicates that there is no valid base among the given choices.

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Answer:

C=1.6b

Step-by-step explanation:

X represents the price of each book

8=5x

Divide both side by 5

X=1.6

C=1.6b

Answer:

1) 48

2)44

Step-by-step explanation:

Answer:  48 44 Are The Correct Answers

Step-by-step explanation:Hope This Helps

Answer:

7

Step-by-step explanation:

The recursive formula for our sequence is the one in the first option.

aₙ = aₙ₋₁ + 6

With a₁ = 7

Here we have the following sequence:

7, 13, 19, 25, ...

This one seems to be an arithmetic sequence, to check this, let's take the difference between consecutive terms:

13 - 7 = 6

19 - 13 = 6

25 - 19 = 6

This means that the recursive formula for our sequence is "add 6 to the previous term" or:

aₙ = aₙ₋₁ + 6

With a₁ = 7

so the correct option is the first one.

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easy way to figure out slope: its rise/run (how far up it goes/how far over it goes)

so, the slope for this is 2/3

hope this helps!! :)

Answer:

2/3

Step-by-step explanation:

y2-y1/x2-x1

you can pick any 2 points I choose 2,3 and 5,5

5-3/5-2=2/3

Answer:

the answer is 36

Step-by-step explanation:

So, in order to round properly, anything under 4 goes down to zero and anything 5 or above goes UP to the nearest zero. it all depends on your desired number that you're rounding to.

EX: 69.436

hundredth place-   69.44

tenths place - 69.4

whole #-   69

hope this makes sense, youll get it eventually, i promise

Answer:

94 ft

Step-by-step explanation:

Answer:

Step-by-step explanation:

o because it has a higher percentage out of them all

Answer:

She could walk 3.75 miles in an hour.

SOLUTION

Given the question in the image, the following are the solution steps to answer the question.

STEP 1: Draw the given table

STEP 2: Explain how to get the relative frequency

The relative frequency is derived by dividing the columns by the total frequency.

STEP 3: Complete the table

STEP 4; Draw the complete table

STEP 5: Calculate the relative Frequency

STEP 6: Calculate the percentage of customers without smartphones

Hence, the percentage of customers without smartphones is 34%

Answer:

Can you put slashes (/) in between because it’s hard for me to see what the fractions are

Step-by-step explanation:

Answer:

d

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

Answer:

\(\displaystyle A = 15x^2 + 11x + 2\text{ cm}^2\)

Step-by-step explanation:

We are given that the length and width of a rectangle is given by:

\(\ell = (5x + 2)\text{ cm} \text{ and } w = (3x+1)\text{ cm}\)

And we want to find the area of the rectangle.

Recall that the area of a rectangle is given by:

\(\displaystyle A = w\ell\)

Substitute:

\(A = (3x+1)(5x+2)\)

Expand and simplify:

\(\displaystyle \begin{aligned}A &= 5x(3x+1) + 2(3x+1) \\ &= (15x^2+5x)+(6x+2) \\ &= (15x^2)+(5x+6x)+(2) \\ &= 15x^2 + 11x +2 \end{aligned}\)

Hence, the area of the rectangle is:

\(\displaystyle A = 15x^2 + 11x + 2\text{ cm}^2\)

If X has the hypergeometric distribution, the minimum value that X can take is option (e) 0

The hypergeometric distribution models the probability of getting a certain number of successes in a fixed-size sample drawn without replacement from a finite population containing a known number of successes and failures.

The minimum value that X can take depends on the specific parameters of the distribution.

If the population size is N, the number of successes in the population is K, and the sample size is n, then the minimum value that X can take is max(0, n - (N - K)).

This is because the sample can contain at most n items, and if all of them are failures (i.e., none of them are successes), then X would be 0. On the other hand, if there are fewer than n failures in the population, then the sample can contain at most n - (N - K) successes. If n - (N - K) is negative, then there are more successes than failures in the population, and X can take any value between 0 and n, inclusive.

Therefore, the correct option is (e) 0

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The probability that it will have distinct even digits is 6/1000.

The first digit can take on 5 values (0,2,4,6,8).

The second digit could take on 4 values (one less than 5 to be unique).

The third digit could take on 3 values (two less than 5 to be unique).

So that makes,

N=5.4.3

N=60

P= 60/1000

P=3/50

So there are 60 unique three digit even numbers.

There are 1000 possible outcomes.

Probability and statistics are two fundamental concepts in mathematics. Probability is about the probability of an event, whereas statistics are about how different techniques are used to process different data.

Probability and statistics allow us to process complex data in a very understandable way.

Probability is one of the most popular topics in statistics. The reason is that this one theory is often used when trying to predict something. For example, figuring out what comes out of a random series of events. For simplicity, probability is also called chance or probability. 

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Answer:

Step-by-step explanation:

Answer:

closest to the whole number 1

Step-by-step explanation:

hope this helps :)

Answer:

167 adult tickets were sold

35 children tickets were sold

Step-by-step explanation:

Let the number of adult tickets be x

Let the number of children tickets be y

Total number of each ticket sold;

x + y = 202 equation 1

Total cost of the tickets

10x + 6y = 1708 equation 2

Let

x= 202 - y equation 3

Substitute 3 into 2

10(202 - y) + y = 1708

2020 - 10y + y = 1708

-9y = 1708 - 2020

-9y = -312

y= 35

Substitute y =35 into 1

x + 35 =202

x= 202 - 35

x= 167

Therefore;

167 adult tickets were sold

35 children tickets were sold

Answer:

6.  175/125=x/100

Cross products  equal 125x=17500

Solve for x and you get 140%

7.  20% of 720 is 144.  You need to find 120% so add the full 720 (100%) to the 144 and you get 864 (120%)

Step-by-step explanation:

Answer:

6. 140%    7. 864

Step-by-step explanation:

Step for #1:

1.) 175 ÷ 125 = 1.4

2.) 1.0=100   0.4=40

3.) 1.4 = 140%

Answer; 140%

Step for #2:

1.) 120% × 720 = ?

2.) 120 x 720 = 86,400

3.) 86,400 ÷ 100 = 864

Answer; 864

\(\textit{lateral area of a cone}\\\\ LA=\pi r\sqrt{r^2+h^2}~~ \begin{cases} r=radius\\ h=height\\[-0.5em] \hrulefill\\ r=4\\ h=3 \end{cases}\implies \begin{array}{llll} LA=\pi (4)\sqrt{(4)^2+(3)^2} \\\\\\ LA=4\pi \sqrt{25}\implies LA=4\pi (5) \\\\\\ LA=20\pi \end{array}\)

After 8 chairs have been bought in there are now 216 chairs in the theater.

A unitary method is a mathematical technique for first finding the value of a single unit and then deriving the required units by multiplying with it.

According to the given question, a small theater had 8 rows of 26 chairs each.

∴ The total number of chairs in the theater is (8×26) chairs = 208 chairs.

Later an extra 8 chairs have bought in.

∴ The total no. of chairs in the theater now is (208+8) = 216 chairs.

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Answer:

4 servings

Step-by-step explanation:

568 x 3 = 1704 ml

1704/380 ≈ 4.5

Sheri should invest $2000 in mutual fund and $13,200 in bond.

Let the amount to be invested in mutual fund be x. So, the amount to be invested in bond will be (15,200 - x). Forming the equation now -

1%×x + 4%×(15,200 - x) = 548

x/100 + 60,800/100 - 4x/100 = 548

60,800 - 3x = 54800

3x = 60800 - 54800

3x = 6000

x = 6000 ÷ 3

x = 2000

Amount to be invested in mutual fund = $2000

Amount to be invested in bond = 15,200 - 2000

Amount to be invested in bond = $13,200

Sheri should invest $2000 and $13,200 in mutual fund and bond respectively.

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Answer:

60

Step-by-step explanation:

10 × 6 is 60. if it asks the % of a number, you multiply the number by %

Answer:

60

Step-by-step explanation:

hope this helps

Answer:

If m<AOC = 49°, m<BOC = 2x°+10°, and m<AOB = 4x°–15° find the degree measure of BOC and AOB.

mBOC = 18°; mAOB = 31°

mBOC = 28°; mAOB = 21°

mBOC = 21°; mAOB = 28°

mBOC = 31°; mAOB = 18°

Step-by-step explanation:

The value of the unknown variable [x] is 4.

Given is that -

m ∠AOC = 19 degrees

m ∠BOC = (2x+10) degrees

m ∠AOB = (4x - 15) degrees

It can be written from the image as -

m ∠AOC = m ∠AOB + m ∠AOC

19 = (2x + 10) + (4x - 15)

6x - 5 = 19

6x = 19 + 5

6x = 24

x = 4

Therefore, the value of the unknown variable [x] is 4.

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