simplify (4a-3)(a-9)=4a² -39a+27

Answer:x=0

Step-by-step explanation: maybe.....

Answer:

Step-by-step explanation:

(1,4)

The expression using the fewest possible terms in (2/5*t - 7 + 2/3 * t) - (5/6 * t + 14) is  (7/30)*t + (-21) .

In the question

the given expression is (2/5 * t - 7 + 2/3 * t) - (5/6 * t + 14)

Simplifying the expression further

we get ,

\(= \frac{2}{5} t-7+\frac{2}{3} t-\frac{5}{6} t-14\)

writing the like terms together

= t * (2/5+2/3-5/6)-7-14

taking LCM of 5,3,6 as 30 and simplifying further we get ,

= t * (12/30 + 20/30 -25/30) - 21

= t * (7/30) - 21

which can also be written as (7/30)*t + (-21) .

Therefore , the expression using the fewest possible terms in (2/5*t - 7 + 2/3 * t) - (5/6 * t + 14) is  (7/30)*t + (-21) .

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A student is not correct when he stated that a triangle can be formed with side lengths 3 in, 5 in, and 9 in because 3 + 5 < 9.

A triangle is a polygon with three sides and three vertices.

To know if a set of numbers is a valid measure of the sides of a triangle, it must follow the Triangle Inequality Theorem which states that the sum of any two sides must be greater than the third side, such that a + b > c, a + c > b, and b + c > a.

let a = 3, b = 5, and c = 9

a + b > c : 3 + 5 > 9     8 > 9     False

a + c > b : 3 + 9 > 5     12 > 5     True

b + c > a : 5 + 9 > 3     14 > 3     True

If at least one of these statements does not hold true, the measurements can't be the sides of a triangle.

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Answer:

Angle 7 and 8 (the first option)

Step-by-step explanation:

Supplementary angles add up to 180 degrees.

Angles 7 and 8 are 180 degrees total.

7 and 8 are supplementary.

1st option

Brainliest plz if someone else answers

7 and 8 i think

Step-by-step explanation:

Answer:

is there any more details?

Step-by-step explanation:

Answer:

any more details please?

Based on the line of best fit, the approximate maximum depth of a lake that has 31 miles of shoreline is; 142.968 ft

The line of best fit is defined as a straight line which is drawn to pass through a set of plotted data points to give the best and most approximate relationship that exists between such data points.

Now, we are given a table of values that shows the total shoreline in miles which will be represented on the x-axis and then the maximum depth of several area lakes which will be represented on the y-axis.

However, when the geologist found the graph, she arrived at an equation of best fit as;

y = 4.26x + 10.908.

Thus, for 31 miles of shoreline, the approximate maximum depth is;

Approximate maximum depth = 4.26(31) + 10.908.

Approximate maximum depth = 142.968 ft

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Answer:

143 feet

Step-by-step explanation:

its technically 142 and change but edmentum rounds up

When selecting a single score from a population with a mean of 100 and a standard deviation of 20, we can expect, on average, the selected score to be approximately 20 units away from the population mean.

The population mean (μ) is a measure of the average or central tendency of the population, while the population standard deviation (σ) is a measure of the variability or spread of the scores in the population. In this case, the population mean is 100 and the population standard deviation is 20.

When we select a single score from the population, we can expect it to be, on average, close to the population mean. This is because the population mean represents the center or average value of the population.

The standard deviation provides us with a measure of the dispersion or spread of scores around the mean. A standard deviation of 20 indicates that the scores in the population tend to deviate from the mean by an average of 20 units.

Considering that the standard deviation represents the average distance between individual scores and the mean, we can conclude that, on average, a single score selected from the population would be approximately 20 units away from the population mean.

However, it is important to note that this is a probabilistic statement. While the average distance between individual scores and the mean is expected to be 20 units, there will be some scores that are closer to the mean and others that are further away.

The distribution of scores in the population follows a bell-shaped curve (assuming a normal distribution), and the majority of scores will fall within a few standard deviations from the mean.

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Note the full question is A population has μ = 100 and σ = 20. If you select a single score from this population, on the average, how close would it be to the population mean? Explain your answer.

Answer:

Step-by-step explanation:

the parameter of B figure is

12+9+9+5

35

as we know the scale factor is 7/2

so the parameter of A figure is

35×7/2

122.5

Answer:

C is the correct answer. F(x) = -\(x^{3}\)

Step-by-step explanation:

we can model the expression for the inequality as

given the flat rate is $3

let the additional mile be x

hence

3+0.05x<10

step two:

let us proceed to solve for x

3+0.05x<10

0.05x<10-3

0.05x<7

divide both sides by 0.05

x<7/0.05

x<140    

let us plug in 15 into the expression and see if the cost is under $10

3+0.05(15)<10

3+0.75<10

3.75<10

from the analysis, carl will have to take the taxi since cost is less than $10 i.e $3.75

Answer:

The inequality representing the situation is 0.5x + 3 < 10.

Use inverse operations and properties of inequality to solve.

Find that x < 14.

Carl lives 15 miles from home, so he will take a bus.

Step-by-step explanation:

Answer: 80

Step-by-step explanation: 8/10

Answer:

-6a - 48

The distributive property states that for an expression a(b + c), it can be evaluated to ab + ac.

To distribute, expand the algebraic expression using the aforementioned policy.

\(-6(a+8)\)

Multiply a and b together.

\(-6\times a=-6a\)

Then, multiply a and c together.

\(-6\times8=-48\)

Finally, add the two values together.

\(-6a+(-48)=-6a-48\)

\(\boxed{\bold{-6a-48}}\)

Hey there!

Distributive Property formula:

a(b + c)

= a(b) + a(c)

= a * b + a * c

= ab + ac

Your equation: -6(a + 8)

Solving:

-6(a + 8)

= -6(a) - 6(8)

= -6 * a - 6 * 8

= -6a - 48

Therefore, your answer should be:

-6a - 48

Good luck on your assignment & enjoy your day!

~Amphitrite1040:)

Convenience purchase: Coca-Cola. Shopping purchase: Apple iPhone. Specialty purchase: Rolex. These brand name products correspond to their respective purchase types based on convenience, shopping involvement, and specialty appeal in the consumer marketplace.

Convenience purchases refer to low-involvement purchases made by consumers for everyday items that are readily available and require minimal effort to obtain. These purchases are typically driven by convenience and habit rather than extensive consideration or brand loyalty.

Shopping purchases involve higher involvement and more deliberate decision-making. Consumers invest time and effort in comparing options, seeking the best value or quality, and may consider multiple brands before making a purchase. These purchases often involve durable goods or products that require more consideration.

Specialty purchases are distinct and unique purchases that cater to specific interests, preferences, or hobbies. These purchases are driven by passion, expertise, and a desire for premium or specialized products. Consumers are often willing to invest more in these purchases due to their unique features, quality, or exclusivity.

Three specific brand name products in the consumer marketplace that correspond to these types of purchases are

Convenience Purchase: Coca-Cola (Soft Drink)

Coca-Cola is a widely recognized brand in the beverage industry. It is readily available in various sizes and formats, making it a convenient choice for consumers seeking a refreshing drink on the go.

With its widespread availability and strong brand presence, consumers often make convenience purchases of Coca-Cola without much thought or consideration.

Shopping Purchase: Apple iPhone (Smartphone)

The Apple iPhone is a popular choice for consumers when it comes to shopping purchases. People invest time researching and comparing features, pricing, and user reviews before making a decision.

The shopping process involves considering various smartphone brands and models to ensure they select a product that meets their specific needs and preferences.

Specialty Purchase: Rolex (Luxury Watches)

Rolex is a well-known brand in the luxury watch industry and represents specialty purchases. These watches are associated with high-quality craftsmanship, precision, and exclusivity.

Consumers who are passionate about luxury watches and seek a premium product often consider Rolex due to its reputation, heritage, and unique features. The decision to purchase a Rolex involves a significant investment and is driven by the desire for a prestigious timepiece.

These examples illustrate how different types of purchases align with specific brand name products in the consumer marketplace, ranging from convenience-driven choices to more involved shopping decisions and specialty purchases driven by passion and exclusivity.

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Answer:5,-1

Step-by-step explanation:

Answer:

5,-1

Step-by-step explanation:

i did this so you brainlist the other person :)

Answer:

Slope-Intercept Form:

The equation of a line in slope-intercept form is y=mx+b. Since we know that the slope is -1, the equation so far is y=-x+b. To find the value of b, substitute in the given point.

3=-7+b

Add 7 to both sides.

10=b

The equation of the line is slope intercept form is y=-x-10.

Point-Slope Form:

The equation of a line in point-slope form is y-y1=m(x-x1). Substituting in the given point and slope, the equation is y-3=-(x-7).

Hope this helps! :)

Answer:

y= -x + 10

Step-by-step explanation:

3 = -1(7) + b

3 = -7 + b

10 = b

Since the slope is -1, that means it's just -x

So y = -x + 10

Step-by-step explanation:

the answer is (x, y) --->(x-8, y-1)

Answer- 33

We are told that A=6, there for we can right out our equation fully.

(5 x 6)+3. Our multiplication sentence with go in parentheses ( ) so we know to do that part of our equation first.  5 times 6 is 30. After we multiply we add our outside number(s). 30 plus 3 is 33. Which means the solution to the equation is 33.

5a +3= 33 or (5x6) +3 = 33

Hope this helps! and GOOD LUCK.

There are 15 two-point questions and 5 four-point questions.

What is an expression?

Expression in maths is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication and division.

Let x be two-point questions and y be four-point questions. We know that there are 20 questions so the number of two-point questions plus the number of four-point questions equals 20. So x + y = 20. We also know that the total number of points is 50, so 2x + 4y = 50.

Solving the system:

1) x + y = 20

2) 2x + 4y = 50

Isolate x in 1) to get x = 20-y, then plug into 2)

2(20-y) + 4y = 50

2y=10  

y = 5,

It means that there are 5 four-point questions. Plug y = 5 into either equation to get x = 15 so there are 15 two-point questions.

x + y = 20

x + 5 = 20

x = 15

Hence, there are 15 two-point questions and 5 four-point questions.

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Answer:

Step-by-step explanation:

the test ha 65 questions worth points and 5 questions worth 4 points

Answer:

X / 4 + 22

Step-by-step explanation:

22 more means we add 22. Then, we take x as our variable, in this case, it is "a number". We divide x by 4, and then we add 22. x / 4 + 22.

Answer:

After 5 years, Cam's account will have $ 616.04 while Madison's account will have $ 638.53.

Step-by-step explanation:

Given that Cam and Madison were investing money into two different accounts, both investing $ 550 each, and Cam invested into an account at an annual interest rate of 2.7% compounded monthly while

Madison invested into an account that had an annual interest rate of 3% compounded quarterly, to determine the balances of both accounts after 5 years, the following calculations must be performed:

Cam

X = 550 (1 + 0.027 / 12) ^ 5x12

X = 550 (1 + 0.027 / 12) ^ 60

X = 616.04

Madison

X = 550 (1 + 0.03 / 3) ^ 5x3

X = 550 (1 + 0.03 / 3) ^ 15

X = 638.53

Thus, after 5 years, Cam's account will have $ 616.04 while Madison's account will have $ 638.53.

The 18th customer will be the first to receive a free Rolls and free Lilly.

Considering periodic events, they will repeat on the same unit of time for the least common factor of the periods of each event.

The periods for this problem are given as follows:

The least common factor is obtained factoring 6 and 9 by prime factors as follows:

6 - 9|2

3 - 9|3

1 - 3|3

1.

Hence:

lcf(6,9) = 2 x 3² = 18.

Meaning that the 18th customer will be the first to receive a free Rolls and free Lilly.

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Option- D is correct that is the probability that at most 27 heads occur is 0.99999994.

Given that,

A fair coin is tossed 29 times.

We have to find what is the probability that at most 27 heads occur.

We know that,

A fair coin is tossed 29 times.

n=29

Probability of heads p=1/2

q= 1-p

q=1-1/2=1/2

We get

P (X=x) = ⁿCₓ qⁿ⁻ˣ pˣ

Now, the probability that at most 27 heads occurs is

P(X<27)

=1-[P(X=28)+ P(X=29)]

=1-[²⁹C₂₈(1/2)²⁹⁻²⁸(1/2)²⁸- ²⁹C₂₉(1/2)²⁹⁻²⁹(1/2)²⁹]

=1-[²⁹C₂₈(1/2)²⁹- ²⁹C₂₉(1/2)²⁹]

=1-[28+1](1/2)²⁹

=1-29×0.00000000186

=0.999999945

Therefore, Option- D is correct that is the probability that at most 27 heads occur is 0.99999994.

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To find D60 and D10 from a Grain Size Distribution Curve in Excel, you need to first plot the curve using the grain size data.

You can then find D60 and D10 by calculating the cumulative percent finer and finding the corresponding grain size for 60% and 10% respectively.

To do this, you can use the formula =INDEX(grain size data, MATCH(cumulative percent finer value, cumulative percent finer data, 1)) to find the corresponding grain size value. Repeat the process for both D60 and D10 to find their values.

This can be done using an Excel spreadsheet or a specialized soil science software.

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Number of people who will be infected in 4 years = 32165

Solution:The number of people who will be infected in 4 years is 32165, rounded to the nearest whole number. Here is the step-by-step explanation.

First, we have to find the number of people who are infected now:Infected people = 40,000Non-infected people = 100,000 - 40,000 = 60,000Then we have to calculate the number of infected people who will recover:Infected people who will recover = 40,000 × 96% = 38,400Then we calculate the number of infected people who will die:Infected people who will die = 40,000 × 4% = 1,600After the infected people recover or die, they will be immune (cannot become infected again), so we do not have to worry about them anymore.

So we will only focus on the non-infected people for the next 4 years. The number of non-infected people who will become infected each year:People who will become infected each year = 60,000 × 40% = 24,000The total number of non-infected people who will become infected over the next 4 years:Number of non-infected people who will become infected over 4 years = 24,000 × 4 = 96,000So, the total number of people who will be infected in 4 years:

Number of infected people in 4 years = infected people who will recover + infected people who will become infected over 4 years = 38,400 + 96,000 = 134,400But, we have to subtract the number of infected people who will die in the next 4 years:Total number of people who will be infected in 4 years = 134,400 - (1,600 × 4) = 128,000Rounding to the nearest whole number, we get: Number of people who will be infected in 4 years = 32165

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Step by Step answer

Yes I believe that is correct