<7+m<6=200 appropriate theorem

The variable T as the subject of the formula is t = √(k/[5a - 2])

From the question, we have the following parameters that can be used in our computation:

k-t² = t²[5a-3]

Rewrite as

k - t² = t²[5a - 3]

Add t² to both sides of the equation

So, we have the following representation

k = t² + t²[5a - 3]

Factor out t²

This gives

k = t²[1 + 5a - 3]

Evaluate the like terms

k = t²[5a - 2]

Divide by 5a - 2

So, we have

t² = k/[5a - 2]

Tale the square roots

t = √(k/[5a - 2])

Hence, the solution is t = √(k/[5a - 2])

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Answer:

50

Step-by-step explanation:

2(3^2+4^2)=

3^2/(3x3) = 9

4^2/(4x4) = 16

9+16=25        

so.... rewritten it is

2(25)= or 2 x 25= 50

Answer:

12.

Step-by-step explanation:

The value of a(t) is -1 and b(t) is 55 + \(e^t\)

No, the given equation y' - y = 55 + \(e^t\) is not in the standard form of a first-order linear differential equation.

In the method for solving a first-order linear differential equation, an integrating factor is a function used to transform the equation into a form that can be easily solved.

For an equation in the standard form y' + a(t)y = b(t), the integrating factor is defined as:

μ(t) = e^∫a(t)dt

To solve the equation, you multiply both sides of the equation by the integrating factor μ(t) and then simplify. This multiplication helps to make the left side of the equation integrable and simplifies the process of finding the solution.

To put it in standard form, we need to rewrite it as y' + a(t)y = b(t).

Comparing the given equation with the standard form, we can identify:

a(t) = -1

b(t) = 55 + \(e^t\)

Therefore, The value of a(t) is -1 and b(t) is 55 + \(e^t\)

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1. The product of 1.35 m and 2.467 m is 3.3 m².

2. The product of 1.4267 × 10² m and 1.278 × 10³ m is 1.8 × 10⁶ m².

1. When multiplying numbers, the rule for significant figures is to count the number of significant figures in each factor and use the smaller count as the significant figures in the result.

In this case, both 1.35 m and 2.467 m have three significant figures each, so the result should be expressed with three significant figures as well. The multiplication gives us 3.33345 m², but since we can only have three significant figures, we round it to 3.3 m².

2. The product of 1.4267 × 10² m and 1.278 × 10³ m is 1.8 × 10⁶ m².

To multiply numbers in scientific notation, we multiply the coefficients and add the exponents. In this case, multiplying 1.4267 and 1.278 gives us 1.8259306.

When we multiply the powers of 10 (10² and 10³), we add the exponents, resulting in 10⁵.

Combining these results, we get 1.8259306 × 10⁵ m². However, since we need to express the answer with the correct number of significant figures, we round it to 1.8 × 10⁶ m², as there is only one significant figure in the given data.

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Answer:

The slope is -2.

Good Luck

Answer:

y intercept is 0

Step-by-step explanation:

because y=mx+b

b is the y intercept

since 5 is m (or the slope), you can see its that because its multplied by x

Answer:

68%

Step-by-step explanation:

IQ scores are normally distributed with a mean of 100 and a standard deviation of 15. About 68% of individuals have IQ scores in the interval 100 ± 1 ( 15 ) = [ 85 , 115 ] .

Answer:

(-15,19 ) number C is the answer because when u add the first spot with the second spot each u get that answer

Answer:

Step-by-step explanation:

35*27%=9.45 mark up

35+9.45= 44.45 total cost

Answer:

The answer is $44.45

Step-by-step explanation:

You change the percent into a decimal so it would be .27 then multiply the .27 to the $35 and you will get $9.45. Then you add the $9.45 to the $35 and you will get the answer.

To determine which payment plan the real estate investor would prefer, we need to compare the present value of each payment option. Assuming a discount rate of 0%, meaning no time value of money is considered, we can directly compare the payment amounts.

1. Payment of $2,000 at the first of each month: This results in a total payment of $24,000 over the 12-month lease.

2. Upfront payment of $24,000: This option requires paying the full amount at the beginning of the lease.

3. Payment of $2,000 at the end of each month: Similar to option 1, this results in a total payment of $24,000 over the 12-month lease.

4. Upfront payment of $12,000 and $12,000 half-way through the lease: This option requires paying $12,000 at the beginning of the lease and another $12,000 halfway through the lease.

Since all the payment options have a total cost of $24,000, the real estate investor would likely prefer the payment plan that offers more flexibility or matches their cash flow preferences. Options 1 and 3 provide the investor with the option to pay monthly, while options 2 and 4 require a larger upfront payment. The choice would depend on the investor's financial situation and preferences.

Using the area of a square and the square of the subtraction, it is found that the square urban garden can fit exactly into the rooftop without wasted spaces.

The area of a square of side length s is given by the square of s as follows:

A = s².

The square of the subtraction notable product is given as follows:

(a - b)² = a² - 2ab + b².

For this problem, the garden has side length given by:

s = 2x² - 7.

Hence the area of the square garden will be given as follows:

A = (2x² - 7) = 4x^4 - 28x² + 49.

This area of the square is less than the area of the rooftop, as x > 0, hence the square urban garden can fit exactly into the rooftop without wasted spaces.

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The sum of the faces is going to fall in the range {2, 3, 4, …, 12}, which contains five prime numbers {2, 3, 5, 7, 11}. You can only have one sum at a time, so these outcomes are mutually exclusive. Then

Pr[sum is prime] = Pr[sum = 2] + Pr[sum = 3] + … + Pr[sum = 11]

• sum = 2 can only happen in 1 way (1 + 1)

• sum = 3 can happen in 2 ways (1 + 2, 2 + 1)

• sum = 5 can happen in 4 ways (1 + 4, 2 + 3, 3 + 2, 4 + 1)

• sum = 7 can happen in 6 ways (1 + 6, 2 + 5, …, 6 + 1)

• sum = 11 can happen in 2 ways (5 + 6, 6 + 5)

There are a total of 6² = 36 possible sums that can be rolled, each with probability 1/36 of occurring, so the probability of getting a prime sum is

(1 + 2 + 4 + 6 + 2)/36 = 15/36 = 5/12

Answer: y = $7.50x + $25

Step-by-step explanation:

From the question, we are informed that Lucy is going to walk in a fundraising event to raise money for her school band and her mother has agreed to donate $7.50 to the school for each mile that Lucy walks, plus an additional $25.

The equation that represents y, the total amount of money Lucy's mother will donate if Lucy walks x miles during the event will be:

= ($.750 × x) + $25

y = $7.50x + $25

Since Lucy walks x Mike's, we multiply x by $7.50 and then add the answer to the additional $25 which is the answer gotten above.

x > - 9

x ∈ ( - 9 : + oo)

\(-\frac{1}{3}(5x+3)<14\\ \\-(5x+3)<42\\\\-5x-3<42\\\\-3-42<5x\\\\-45<5x\\\\5x>-45\\\\x>-9\\\\\)

x∈ ( - 9 ; + oo)

Answer:

x > -9

Step-by-step explanation:

you want to multiply both sides of the inequality by 3/1 to make

-1/1 (5x+3) < 42/1

any expression divided by 1 remains the same

-1 (5x+3) < 42/1 ⇒ - (5x+3) < 42/1 ⇒ - (5x+3) < 42

Where there is a - in front of an expression in parentheses, change the sign of each term in the expression

-5x -3 <42

Then move the constant to the right-hand side and change its sign

-5 < 42 + 3

Add the numbers and you'll get

-5x < 45

Divide both sides of the inequality by -5 and flip the inequality sign and your answer would be

x > -9

Answer:

-5-7×4=-5-28=-33

........

Answer: -33

Step-by-step explanation:

1. -5 - 7(4)

2. -5 - 28

3. -33

15/19 + 14/19 = 29/19

Step-by-step explanation:

Add the number of balls in the basket together.

Subtract the number of white balls from the sample space ( the total amount of balls) your answer is written over the sample space and the same process is done for the green ball

There are 87 possible outcomes that contain at least three heads when a coin is flipped 9 times.

When a coin is flipped nine times, there are 512 possible outcomes, or 29. Using the equation:

P (At least one head) = 1 - 0.5n,

where n is the total number of flips, we can determine the number of outcomes that contain at least three heads.

Therefore, P (At least three heads) = 1 - P (No heads) - P (One head) - P (Two heads)

= 1 - (0.5)⁹ - 9(0.5)⁹ + 36(0.5)⁹

= 0.1718751.

The formula used to calculate the number of possible outcomes that contain at least three heads is C(9,3) + C(9,4) + C(9,5) + C(9,6) + C(9,7) + C(9,8) + C(9,9),

where C(n,r) denotes the variety of options for selecting item(s) r from a set of item(s) n.

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Answer:

The amount accumulated after investing a principal P for t years at an interest rate compounded annually is  $46,057.58.

Compound interest is the interest you earn on interest. Compound interest is the interest calculated on the principal and the interest accumulated over the previous period.

Therefore, let's find the amount accumulated after investing a principal P for t years at an interest rate compounded annually.

\(A = p(1 + \frac{r}{n} )^{nt}\)

where

p = 15,500

r = 9.5%

t = 12

n = 1

\(A = 15500(1 + \frac{0.095}{1} )^{1(12)}\)

A = 15,500.00(1 + 0.095)¹²

A = $46,057.58

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$46,057.58, answer for acellus

The term "most specifically" is used to indicate the option that is the most specific or narrowest in meaning among the choices is d. chord.

The term "most specifically" is used to indicate the option that is the most specific or narrowest in meaning among the choices. Let's examine each option in the context of geometry:

a. A minor arc: A minor arc is a portion of a circle that measures less than 180 degrees. It is not the most specific term because it encompasses a range of arc sizes smaller than a semicircle, but it does not provide a narrower definition than other options.

b. A major arc: A major arc is a portion of a circle that measures more than 180 degrees. Similar to a minor arc, it does not provide the narrowest definition among the options.

c. A semicircle: A semicircle is a half of a circle, dividing it into two equal halves. This option is more specific than both minor and major arcs because it refers to a precise geometric shape with a 180-degree angle. However, there is one more option left to consider.

d. A chord: A chord is a straight line segment that connects two points on a circle. It is the most specific option among the choices because it refers to a specific geometric element—a line segment—within a circle.

So, The option that most specifically describes a geometric concept is:d. a chord.

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the rule for division is:

Then:

you will substract the exponents

Answer:

b

Step-by-step explanation:

b

The null hypothesis to test the faculty member's claim that the improvement is no more than 3% at the 5% significance level is that the true mean score improvement on the outcomes assessment test is equal to or less than 3%.

The null hypothesis is a statement that assumes there is no significant difference or relationship between two variables in a population, or that any observed difference or relationship is due to chance or sampling error. It is usually denoted by "H0" and is used in statistical hypothesis testing to determine whether there is evidence to support an alternative hypothesis.

In the given question,

The null hypothesis to test the faculty member's claim that the improvement is no more than 3% at the 5% significance level would be:

H0: The true mean score improvement on the outcomes assessment test is equal to or less than 3%.

This hypothesis assumes that there is no significant improvement in the mean score on the outcomes assessment test as a result of the review course. The alternative hypothesis would be:

Ha: The true mean score improvement on the outcomes assessment test is greater than 3%.

This hypothesis assumes that there is a significant improvement in the mean score on the outcomes assessment test as a result of the review course.

To test these hypotheses, we would use a one-tailed t-test with a significance level of 0.05 and calculate the t-value and p-value based on the sample data. If the p-value is less than 0.05, we would reject the null hypothesis and conclude that there is evidence of a significant improvement in the mean score on the outcomes assessment test as a result of the review course. If the p-value is greater than or equal to 0.05, we would fail to reject the null hypothesis and conclude that there is no evidence of a significant improvement in the mean score on the outcomes assessment test as a result of the review course.

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Answer: 21ft

Step-by-step explanation:

Answer:

the area of triangle is height ×base

6×7=42

i think this is the answer

Answer:

-1/2

Step-by-step explanation:

pass (0,1) (2,0)

slope = rise/run = -1/2

Noura needs to maintain a rate of 0.15 miles per minute on her treadmill to jog 3 miles in 20 minutes.

Speed (rate)is simply referred to as distance traveled per unit time.

Mathematically, it is expressed as:

Speed = Distance ÷ time.

Hence:

rate = distance / time

Given that; the distance that Noura wants to jog is 3 miles, and the time she wants to do it in is 20 minutes.

Substituting these values into the formula, we get:

rate = distance / time

rate = 3 miles / 20 minutes

Simplifying the right side of the equation, we get:

rate = 0.15 miles per minute

Therefore, the rate does she need to maintin on her treadmill is 0.15 miles per minute.

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√36 can be taken out of the root as 6. So it's a rational number.

About the perfect square, if we (√36)² then we get 36. and √36 is just 6.

For non-repeating decimal, √36 is already an integer.

Answer:

6/2

Step-by-step explanation:

Answer:

but some examples are 6/2, ,4,5,7/2, are numbers above 5/2 which is 2.5

Step-by-step explanation: Um I dont see anything below