Find the rank of the matrix
a b c
0 d e
0 0 f
Where a, d, and f are nonzero and b, c, and e are arbitrary numbers

Answer:

option 4 see desmos graph will help you

Answer:

Shelly slept 232 hours and 30 minutes in the month of January

Step-by-step explanation:

31 days in January, so the equation will be

31 x 7.5  ( I wrote 0.5 because 30 minutes is half a day)

= 232.5 hours

Shelly slept 232 hours and 30 minutes in the month of January

Answer:

232.5 hours

Step-by-step explanation:

Well, the month of January has 31 days.

If shelly sleeps for 7.5 hours a day, and she sleeps 31 days, we need to do multiplication!

7.5*31=232.5 hours!

There are no vectors among the options provided that are parallel to (1²2).

To determine if two vectors are parallel, we can compare their direction ratios.

Two vectors are parallel if their direction ratios are proportional.

Let's compare the given vector (1²2) with each of the options provided:

Vector (7²) (12²) (-22) (3) 12/ (ő) 4 24 3 13/​:

Comparing the direction ratios, we have:

1/7 = 2/12 = 2/-22 = 3/4 = 24/3 = 12/13.

Since the direction ratios of the given vector (1²2) are not proportional to the direction ratios of any of the options, none of the options are parallel to (1²2).

summary, none of the vectors (7²) (12²) (-22) (3) 12/ (ő) 4 24 3 13/​ are parallel to the given vector (1²2).

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In one sweep, the area covered by the sprinkler is 77.19 sq ft (approx). The area of the lawn, to the nearest square foot, that receives water from this sprinkler is 616 sq ft (approx).

We know that a rotating sprinkler can reach up to 14 feet through a 300-degree angle. Area covered by the sprinkler in one sweep = area of the sector whose radius = 14 feet and angle = 300°Area of sector = (θ / 360) × πr²Where θ = 300°, r = 14 ftArea of sector = (300/360)× π(14)²= 77.19 sq ft (approx) Therefore, the area covered by the sprinkler in one sweep is 77.19 sq ft (approx).

We need to find the total area of the lawn that receives water from this sprinkler. The sprinkler rotates 360 degrees, so it will cover a full circle whose radius is 14 feet. Area of a circle = πr²= π(14)²= 615.752 sq ft (approx) Therefore, the area of the lawn, to the nearest square foot, that receives water from this sprinkler is 616 sq ft (approx).

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Answer:

median

Step-by-step explanation:

the median is literally the middle number--half the numbers are higher, half the numbers are lower.

The price of a single doughnut is $0.60.

We can determine the price of a single doughnut and check the accuracy of the determination, using mathematical operations of multiplication, division, addition, and subtraction.

Firstly, the reduced cost for each doughnut in a dozen is computed using division.

The total reduced cost for 60 doughnuts or 5 dozen is computed using multiplication.

The reduced cost of a dozen doughnuts = $2.75

The reduced cost for each doughnut in a dozen = $0.2292 ($2.75/12)

For 60, the total reduced cost = $13.75 ($2.75 x 60/12) or ($0.2292 x 60)

Cost of 65 doughnuts = $25.25

65 = 5(12) + 5

The price of a single doughnut = $0.60 ($25.25 + $13.75)/65

Check:

Total cost of 65 doughnuts at single price = $39 ($0.60 x 65)

Reduced cost for 5 dozens = $13.75 ($2.75 x 5)

Cost of 65 doughnuts = $25.25 ($39 - $13.75)

Thus, the price of a single doughnut is $0.60.

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Answer:

8/25

Step-by-step explanation:

Since there are only three possible outcomes on the spinner (1, 2, or 3), we can find the probability of spinning a 2 by subtracting the probabilities of spinning a 1 or a 3 from 1

P(2) = 1 - P(1) - P(3)

P(2) = 1 - 7/25 - 2/5

P(2) = 1 - 35/125 - 50/125

P(2) = 1 - 85/125

P(2) = 40/125

P(2) = 8/25

Therefore, the experimental probability of spinning a 2 is 8/25 or 0.32.

Answer:Hi B)

Step-by-step explanation:

The equation of the line through the point (3,5) that cuts off the least area from the first quadrant is 5x + 3y - 30 = 0     .

In the question ,

it is given that ,

the required line passes through the points (3,5) and and cuts off the least area from the first quadrant .

Suppose that the line passes through the (t , 0) and (3 , 5) . , where t > 0 .

So , the y intercept will be (0 , 5t/(t - 3))

So , the area of the  triangle in the first quadrant will be ,

= (1/2)×t × 5t/(t - 3)

= 5t²/2(t - 3) .

Differentiating the given area with respect to t ,

we get ,

d/dt 5t²/2(t - 3)  = 5t/(t-3) - 5t²/2(t-3)²

= 5t/2(t-3)²  × (2(t-3)-t)

= 5t/2(t-3)²  × (t-6)

So , the zero of the derivative will be at t = 6 .

So , the points will be (6,0) and (3,5) .

the equation of the line passing through the points (6,0) and (3,5) is

5x + 3y - 30 = 0 .

Therefore , the equation of the line is 5x + 3y - 30 = 0    .

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Answer:

-1,000

Step-by-step explanation:

Answer:

40 ft

Step-by-step explanation:

Put as a ratio:

\(\frac{8}{3} = \frac{x}{15}\)

Cross multiply and get:

3x = 120

Divide by 3 on both sides:

x = 40

Hope it helps!

We can state this by responding to the provided question B, D, and E are expressions the expressions that have values of 1/6.

Mathematical operations include doubling, dividing, adding, and subtracting. A phrase is constructed as follows: Expression, monetary value, and mathematical operation Numbers, parameters, and functions make up a mathematical expression. It is possible to use words and terms in contrast. Every mathematical statement including variables, numbers, and a mathematical operation between them is called an expression, sometimes referred to as an algebraic expression.

We need to simplify each expression to see which ones are equivalent to 1/6:

6. 1/6 is not equivalent to 6/1.

B. 3÷18 = 1/6

C. 2/3 of 2 equals 6 (not equivalent to 1/6)

D. 1÷6 = 1/6

E. 1/3 ÷ 2 = 1/6

B, D, and E are the expressions that have values of 1/6.

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Answer:

1. all of them are in the range

Step-by-step explanation:

Since -1 < x <  4

then  -1 (7) < 7x < 7(4)

- 7 < 7x < 28

-7 + 4 < 7x + 4 < 28  + 4

-3 < 7x + 4 < 32

SInce all the options are within the range between -3 and 32 then the answer is 1.

Answer:

15/10 and 21/14

Step-by-step explanation:

Simplify:

9/5 and 19/10

Simplified; not proportional.

Simplify:

4/6 and 10/16

2/3 and 5/8

Simplified; not proportional.

Simplify:

25/35 and 20/24

5/7 and 5/6

Simplified; not proportional.

Simplify:

15/10 and 21/14

3/2 and 3/2

Simplified; proportional.

The differential equation dx/dt = x^2/14 with the initial condition x(0) = 2 has a particular solution given by x(t) = -1/(t/14 - 1/2).

To solve the separable differential equation dx/dt = x^2/14 and find the particular solution satisfying the initial condition x(0) = 2, follow these steps,

1. Identify the differential equation: dx/dt = x^2/14
2. Separate the variables: dx/x^2 = dt/14
3. Integrate both sides: ∫(1/x^2) dx = ∫(1/14) dt
4. Evaluate the integrals: -1/x = t/14 + C₁
5. Solve for x: x = -1/(t/14 + C₁)
6. Apply the initial condition x(0) = 2: 2 = -1/(0 + C₁)
7. Solve for C₁: C₁ = -1/2
8. Substitute C₁ back into the equation for x: x(t) = -1/(t/14 - 1/2)

The particular solution to the differential equation dx/dt = x^2/14 with the initial condition x(0) = 2 is x(t) = -1/(t/14 - 1/2).

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The conditions for inference has been not met the sample wasn't chosen using a random method.

Sample mean , μ = 11.50

Total people estimated, x = 41

Mean sale increases by 10 per day

z = x - μ / σ

z = 41 -11.5/10

z = 2.95

Necessary condition for inference is

Three necessary conditions must be met to do inference are -

The randomness of the sample,

The distribution should approximate the normal distribution

The samples taken and their observations need to be independent of each other.

Selection cannot be selected randomly because specific group of people are selected

Hence, No, the sample was not chosen using a random method.

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The question is incomplete the complete question is :

question a local convenience store in a large city closes each day at 10 p.m. the owner of the store is investigating whether mean sales will increase by at least $10 per day if the store remains open until 11 p.m. the owner asked the 41 members of a local civic group to estimate the amount of money they might spend during the extra hour. the sample mean was $11.50. the owner will conduct a one-sample t -test for a population mean.

Have the conditions for inference been met?

A. Yes, all conditions have been met.

B. No, the sample was not chosen using a random method.

C. No, the sample size is greater than 10 percent of the population.

D. No, the sample size is not large enough to assume normality of the sampling distribution.

E. No, the distribution of the sample is not normal.

Answer: The answer is 121

Answer:

1 out of 6 because you have only one chance to get 4.

Step-by-step explanation:

Answer:

50% chance

Step-by-step explanation:

A prime number is a number that a natural number greater than 1 that is not a product of two smaller natural numbers. And the only prime numbers between 1 and 6 are 2,3, and 5. This is 3 numbers. So he has a chance of 3/6 =.5=50%

Answer:

Triangle ABC is congruent to triangle DFE.

Answer:

no solutions

Step-by-step explanation:

−3(x + 3) = −3(x + 1) − 5

Distribute

-3x -9 = -3x -3 -5

Combine like terms

-3x -9 = -3x-8

Add 3x to each side

-9 = -8

Since this is never true, there are not solutions

Answer:

28

Step-by-step explanation:

f(-1)=-2(-1)^2

f(-1)=2*1

f(-1)=2

g(-4)=2-3(-4)

g(-4)=2+12

g(-4)=14

f(-1)*g(-4)=2*14=28

In summary: Sequence 1 has no term out of increasing order. Sequence 2 has the first term out of increasing order at position 2. Sequence 3 has the first term out of increasing order at position 7. Sequence 4 has the first term out of increasing order at position 4. Sequence 5 has the first term out of increasing order at position 3.

1 5 78 99 101 202 400: This sequence is in increasing order throughout, so there is no term that breaks the increasing pattern.

5 2 7 90 85 80 72: The sequence starts with 5, then decreases to 2 (out of increasing order) at position 2.

5 6 9 10 14 21 20: The sequence is increasing until position 6, where it reaches 21. However, the next term, 20, is lower than the previous term, 21 (out of increasing order) at position 7.

3 7 10 9 8 14 17: The sequence starts with 3 and increases until position 3 (10). However, at position 4, the next term, 9, is lower than the previous term, 10 (out of increasing order).

5 77 25 45 22 94 58 99: The sequence is increasing until position 2, where it reaches 77. However, at position 3, the next term, 25, is lower than the previous term, 77 (out of increasing order).

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Answer:

52

Step-by-step explanation:

I think not really sure

Answer:

2079

Step-by-step explanation:

is the correct answer 2079

If Kevin works two more hours than Emily, the correct number of hours that complete the table are 6, 5, 8, and j.

The number of hours can be expressed as:

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Answer:

$337.12

Step-by-step explanation:

Multiply $1562 by 78.5% (or 0.785) =1230.88

Then subtract the percent of her paycheck spent (1230.88) from the total of her paycheck(1562) to find out how much is missing(the mortgage payment)

1562-1230.88=337.12