7\(\frac{1}{5}\) - 3\(\frac{11}{15}\)

Answer:

g(x) = 3x^2-3x-9

g(4) =3(4)^2-3(4)-9

g(4)=3(16)-12-9

g(4)=48-12-9

g(4)=27

So B is the correct answer.

Hope this helps!

Answer:

A

Step-by-step explanation:

i think

The function that represent the growth rate of the population where y represents the population and x represents the numbers of weeks since Sabrina began her research is \(y=3.8^{x}\) (for ant colony) \(y=3.8x\) (for bee hive growth)

"A  function is an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable)."

"Research is creative and systematic work undertaken to increase the stock of knowledge."

"The growth rate of change of population size, for a given country, territory, or geographic area, during a specified period."

As we know that we have to check the growth of the population. According to the given data, the rate of growth for ant colony is \(y=3.8^{x}\) and also the growth rate of bee hive is \(y=3.8x\)

Hence, the growth rate of ant colony is \(y=3.8^{x}\) and the growth rate of bee hive is \(y=3.8x\)

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Answer:

3/32

Step-by-step explanation:

The first question should be 3/8 as there are 3 "1"s on the spinner. The answer to the last one is "3/32". You take the 3/8 chances to get a one and multiply that by 1/4 to get a "B". Once you multiply you get .09375 which is 3/32 when converted. Please let me know if this is incorrect.

Answer:

Because the side lengths of the triangles are  proportional.

Step-by-step explanation:

I took geometry.

The expression is,

So, according to BODMAS which stands for Bracket, Of, Division, Multiplication, Addition, and Subtraction, calculations are to be done in ths order.

So.

Answer:

56%

Step-by-step explanation:

We know that there are 6 groups of 6 and 4 groups of 5.

6x6 = 36

4x5 = 20

Add them up. 36 + 20 = 56.

Add the percent sign for 56%.

Answer:

56%

Step-by-step explanation:

Answer:

567 minutes each month.

Step-by-step explanation:

Let x be the number of minutes of talk time used each month.

The cost for talk time beyond 500 minutes is $0.08 * (x - 500)

The cost for email is $27.70 * 0.3 = $8.31

The total monthly cost is $27.70 + $0.08 * (x - 500) + $8.31 = $35.99

The total cost for 9 months is $35.99 * 9 = $323.91

So we can set up the equation:

$27.70 + $0.08 * (x - 500) + $8.31 * 9 = $367.29

Solving for x, we get:

x = 567

So the number of minutes of talk time used each month is 567 minutes.

Answer:

Answer on a graph

Answer:

B is right becuase out of all of the answers this one is the least value with 26

Step-by-step explanation:

In this long-run monetary model of exchange rates, the fundamental exchange rate is determined under the given conditions. The variables MUK,t, MUS,t, YUS,t, and YUK,t are given, and time is discrete. The model equation involves various constants and parameters such as n, ius, and η.

The objective is to solve for the fundamental exchange rate when specific conditions are met, namely when mus,t = YUS,t = YUK,t = 0 for all t and mUK,t = MUK,t-1 + 8 for all t > 0, with 8 > 0 and muK,0 > 0. The question asks whether there is a solution for all values of 8 > 0.

To solve for the fundamental exchange rate, we consider the given conditions in the model. When mus,t = YUS,t = YUK,t = 0 for all t, it implies that there is no real output or real income in either the UK or the US. Additionally, when mUK,t = MUK,t-1 + 8 for all t > 0, it means that the money supply in the UK at time t is equal to the money supply at the previous period (t-1) plus a constant 8.

Under these conditions, we need to determine the fundamental exchange rate, which represents the long-run equilibrium exchange rate. The equation involving various constants and parameters needs to be solved for this purpose. Whether a solution exists for all values of 8 > 0 depends on the specific characteristics of the equation and the given parameters. The solution will provide the fundamental exchange rate in the context of the model.

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he proportion column can be calculated as the ratio of the frequency to the total number of scores.

The percentage column can be calculated by multiplying the proportion with 100 and rounding it off to two decimal places.

The frequency distribution table for the given set of scores is as follows:

Score | Frequency | Proportion | Percentage

1 | 1 | 0.05 | 5.0%

2 | 1 | 0.05 | 5.0%

3 | 3 | 0.15 | 15.0%

4 | 5 | 0.25 | 25.0%

5 | 4 | 0.20 | 20.0%

6 | 3 | 0.15 | 15.0%

7 | 3 | 0.15 | 15.0%

8 | 2 | 0.10 | 10.0%

In this frequency distribution table, each score is listed along with its corresponding frequency, proportion (to two decimal places), and percentage.

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Answer:

72.5%

Step-by-step explanation:

To express a value as a %:

value/whole x 100 = 29 / 40 x 100

This gives you 72.5%

Hope this helps

Answer:

diameter 33

radius 66

area 360

The profit margin made by True Blue Vintage Toy Company is; 0.3 or 30%

A profit margin is defined as a profitability ratio that can tell you whether a company makes money. It highlights what portion of the company's sales have turned into profits or how many cents per dollar it generates per sale.

Now, the parameters given are;

Selling price = #40

Profit = $12

Thus;

Cost price = 40 - 12 = $28

Profit margin = (40 - 28)/40

= 0.3 or 30%

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dz/dt for the given functions is \(16a^3t^3 + 10a^3t^4\).

To find dz/dt for z(x, y) = \(xy^2 + x^2y\), x(t) = at^2, and y(t) = 2at, we'll use the chain rule.

Here's a step-by-step explanation:

Step 1: Find the partial derivatives of z with respect to x and y. \(∂z/∂x = y^2 + 2xy ∂z/∂y = 2xy + x^2\)

Step 2: Find the derivatives of x(t) and y(t) with respect to t. dx/dt = 2at dy/dt = 2a

Step 3: Apply the chain rule to find dz/dt. dz/dt = (∂z/∂x)(dx/dt) + (∂z/∂y)(dy/dt)

Step 4: Substitute the expressions from steps 1 and 2 into the chain rule equation. dz/dt = \((y^2 + 2xy)(2at) + (2xy + x^2)(2a)\)

Step 5: Replace x and y with their expressions in terms of t: x = at^2 and y = 2at. dz/dt = \(((2at)^2 + 2(at^2)(2at))(2at) + (2(at^2)(2at) + (at^2)^2)(2a)\)

Step 6: Simplify the expression.

dz/dt = \((4a^2t^2 + 4a^2t^3)(2at) + (4a^2t^3 + a^4t^4)(2a)\)

dz/dt = \(8a^3t^3 + 8a^3t^4 + 8a^3t^3 + 2a^5t^4\)

dz/dt = \(16a^3t^3 + 10a^3t^4\)

So, dz/dt for the given functions is \(16a^3t^3 + 10a^3t^4.\)

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Answer:

Hope this helps you. Do mark me as brainliest.

The probability of 2 seniors out of 20 serving in the military is ²⁰C₂(0.15)²(0.85)¹⁸.

A common discrete distribution is used in statistics, as opposed to a continuous distribution is called a Binomial distribution. It is given by the formula,

\(P(x) = ^nC_x p^xq^{(n-x)}\)

Where,

x is the number of successes needed,

n is the number of trials or sample size,

p is the probability of a single success, and

q is the probability of a single failure.

As it is given that 15% of the seniors in a large high school enter military

service upon graduation. Therefore, the probability of a large high school entering the military services will be 0.15. Similarly, the probability of a senior from a large high school not joining entering the military can be written as,

\(q = (1-p)\\\\q = 1-0.15\\\\q=0.85\)

Now, the probability of 2 seniors out of 20 serving in the military will be,

\(P(x) = ^nC_x p^xq^{(n-x)}\\\\P(x=2) = ^{20}C_2 \times (0.15)^2 \times (0.85)^{(20-2)}\\\\P(x=2) = ^{20}C_2 \times (0.15)^2 \times (0.85)^{(18)}\)

Hence, the probability of 2 seniors out of 20 serving in the military is ²⁰C₂(0.15)²(0.85)¹⁸.

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Answer:

D = 12

Step-by-step explanation:

Side ST is corresponding to side QT. 9" / 3" = 3

3 is the proportion between the two triangles.

Side PT is the corresponding side to side RT.

PT = 4" x 3 = 12"

Answer:

B

Step-by-step explanation:

The 2/3 is positive making 2/3 x 2 = Infinite Because once i did the math it goes on infinite as a decimal..

For the box and whiskers plot for the following set of data the value of Min is 3, Q1 is 6, Med is 12, Q3 is 14.5 and Max is 17.

Box and whiskers plot is the way of representation of data which gives the graphical image of the data set to understand better. In this the data is represented with the help of quartile.

The minimum and the maximum values in the box plot is plotted at the end points.

The following set of data which i s given in the problem.

3, 4, 5, 6, 6, 7, 7, 12, 13, 14, 14, 15, 15, 16, 17

Min: 3

The minimum value in the given data is 3. Thus, the min is 3.

Q1:6

First quartile appears at 6. Thus, the value of Q1 is 6.

Med:12

The middle value of the given data is 12 which appears at the center of all the values. Thus the med is 12.

Q3:14.5

Second quartile appears at 14.5. Thus, the value of  second quartile Q2 is 6.

Max: 17

The minimum value in the given data is 17 as shown in the image attached below. Thus, the min is 17.

Hence, for the box and whiskers plot for the following set of data the value of Min is 3, Q1 is 6, Med is 12, Q3 is 14.5 and Max is 17.

The complete question is : Answer the statistical measures and create a box and whiskers plot for the following set of data. You may optionally click and drag the numbers into numerical order.

3, 4, 5, 6, 6, 7, 7, 12, 13, 14, 14, 15, 15, 16, 17

3,4,5,6,6,7,7,12,13,14,14,15,15,16,17

Min:

Q1:

Med:

Q3:

Max:

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Answer:

area

Step-by-step explanation:

because when you are ordering sod the person that is laying it down needs measurements like 12x13 not 67 yards, that way they can get the most accurate amount

Esma will need to know area if she  needs to know the size of her yard.

Perimeter is a major property of a 2D shape , It is defined as the distance covered around the shape.It is also called the length of a triangle , rectangle and square.

It has major usage in calculation of the fencing that needs to be done , revolution that is being done etc.

It is given in the question that

Esme wants to put new sod on her front lawn.

she needs to know the size of her yard.

As by the meaning of sod , sod is grass that rolls out on the ground, almost like carpet

It will cover the complete area of the lawn and hence to buy it she will be needing to know the area rather than the perimeter.

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Answer:

x=7

Step-by-step explanation:

You need to bring 9x to the right side and bring '-ll' to the left side so it will be 11+10 = 12x-9x. Then you calculate 11+10, which is 21, then you subtract 12x to 9x. Then it will be 21 = 3x. Lastly, you divide 3 on both sides of the equation and get x to be 7!

Answer:

x=7

Step-by-step explanation:

9x+10=12x-11

-9x. -9x. subtract 9x from both sides

10 = 3x-11

+11 +11. add 11 to both sides

21 =3x

divide by 3x (21 ÷3=7) therefore x=7

The next three letters in the sequence J F M A M J J A are S, O, N.

To find the next three letters in the sequence J F M A M J J A, we need to identify the pattern or rule that governs the sequence. In this case, the sequence follows the pattern of the first letter of each month in the year.

The sequence starts with 'J' for January, followed by 'F' for February, 'M' for March, 'A' for April, 'M' for May, 'J' for June, 'J' for July, and 'A' for August. The pattern repeats itself every 12 months.

Therefore, the next three letters in the sequence would be 'S' for September, 'O' for October, and 'N' for November.

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The next three letters in the sequence "J F M A M J J A" are "S O N", indicating the months of September, October, and November.

The given sequence "J F M A M J J A" represents the first letters of the months in a year, starting from January (J) and ending with August (A). To find the next three letters in the sequence, we need to continue the pattern by considering the remaining months.

The next month after August is September, so the next letter in the sequence is "S". After September comes October, represented by the letter "O". Finally, the month following October is November, which can be represented by the letter "N".

Therefore, the next three letters in the sequence "J F M A M J J A" are "S O N", indicating the months of September, October, and November.

It is important to note that the given sequence follows the pattern of the months in the Gregorian calendar. However, different cultures and calendars may have different sequences or names for the months.

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Answer:

The Answer is 4

Step-by-step explanation:

(4x+3) + (2x-5)=?

(4x+3) + -3x

(7x+-3x)=?

7+-3=4

I hope this helps

Answer:

A 55° angle is a specific measure of a geometric figure is shown in the image. Therefore, option 'C' is correct.

Step-by-step explanation:

As protectors normally have two sets of numbers going in opposite directions.

As it is clear from the figure that the protector as the '0 mark' is the bottom edge of the protractor, while the 'center point' of the protector is being placed on the vertex of the angle.

From the figure, it is also clearly visible if we are able to read the degrees where the other ray of the angle is crossing the protractor, the protector is showing the 55° angle.

Therefore, a 55° angle is a specific measure of a geometric figure is shown in the image. Therefore, option 'C' is correct.

Answer:

29.3 x 0.98 = 28.714

Answer:

Its either B or A but i will say A

Answer:

A

Step-by-step explanation:

consistent and independent

we have that

the landing area is a square

so

the area of a square is

A=b^2

and the perimeter is equal to

P=4b

we have

b=16.5 ft

A=16.5^2=272.25 ft2

P=16.5(4)=66 ft

When a research hypothesis does not predict the direction of a relationship, the test is typically two-tailed.

A two-tailed hypothesis is used when there is no specific prediction about

the direction of the relationship between variables.

It simply states that there is a relationship between the variables being

studied, but does not specify whether the relationship will be positive or

negative.

In contrast, a one-tailed hypothesis predicts the direction of the

relationship (i.e. positive or negative) and is used when there is a clear

expectation about the direction of the effect. A direct positive hypothesis

predicts a positive relationship between variables.

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Vertical Translation of 4 units

1) Considering the function f(x)=x² as the parent function, and g(x)=x²+4

We have a Vertical Translation up 4 units when we compare both parabolas.

2) As we can see below: