a) Work out V2^4+ 3^2 Select your answer 5 A 6 B 25 C 36 D b) Work out V10^2 - 2^6 Select your answer 5 A 6 B 25 C 36 D

From the given data, using the relative frequencies and time range, we can say out of the 100 sampled calls, 10 calls would have lasted at least 15 minutes but less than 20 minutes.

In order to calculate the number calls that would have lasted within the given range, we can add the relative frequencies of the time range.

Given the following information:

Time Range      Relative Frequency

0 < t < 5                      0.37

5 < t < 10                    0.22

10 < t < 15                   0.15

15 < t < 20                  0.10

20 < t < 25                 0.07

25 < t < 30                 0.07

t ≥ 30                         0.02

From the time range of the relative frequencies, this shows that 10% of the 100 sampled calls would last at least 15 minutes but less than 20 minutes.

To calculate the actual number of calls, we multiply the relative frequency by the total number of calls:

Number of calls = Relative frequency * Total number of calls

Number of calls = 0.10 * 100

Number of calls = 10

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Answer:

The answer is "This direct variant (-4,2) is part of it".

Step-by-step explanation:

The equation expresses its direct variation relation

\(y = mx ........ (1)\)

Where x and y vary directly, and k vary continuously.

Now so the point (4,-2) is in the direct relation of variation, so from equation (1) we are given,\(-2 = 4m\)

\(\to m=-\frac{1}{2}\)

The equation (1) is therefore converted into

\(\to y=-\frac{1}{2}x \\\\\to x + 2y = 0 ......... (2)\)

Then only the point (-4,2) satisfies the connection with the four possibilities (2). Therefore (-4,2) is a direct variant of this.

Step-by-step explanation:

part (a) - you plug 25 into the given function they give you and that'll be your answer

part (b) - 200 is your original amount given by the function so what is half of 200? 100. So set 100 on the right side of your function and solve for t to find the year

Answer:

negative two fourths so - 2/4

Answer:

-2/4

Step-by-step explanation:

i hope this is correct

Answer:

x = 6.00 $/kg ----> almond

y = 3.5 $/kg ------> nut

Step-by-step explanation:

To find the price per kg of each product you first write the algebraic equations for the given relations:

x : price per kg of almond

y: price per kg of nut

Then, you have:

5x + 4y = 44.00      (1)

8x + 6y = 69.00     (2)

By using substitution you have from (1):

y = (44.00-5x)/(4) = 11.00 - (5/4)x

you replace this expression for y into (2):

8x+6[11.00-(5/4)x] = 69.00

8x+66.00-(15/2)x = 69.00

8x-(15/2)x = 69.00 - 66.00

(1/2)x = 3.00

x = 6.00 $/kg ----> almond

And for nut:

y = 11.00 - (5/4)x = 11.00 - (5/4)(6.00) = 3.5$/kg

y = 3.5 $/kg ------> nut

Answer:

The slope of the line is \(-\frac{1}{4}\)

Step-by-step explanation:

Hi there!

We are given the points (1, 4) and (5, 3)

We want to find the slope between these two points

The formula to calculate the slope (m)  from two points is \(\frac{y_2-y_1}{x_2-x_1}\), where \((x_1, y_1)\) and \((x_2, y_2)\) are points

We have the 2 points needed to calculate the slope, but let's label the values of the points to avoid any confusion and mistakes.

\(x_1=1\\y_1=4\\x_2=5\\y_2=3\)

Now substitute these values into the formula to find the slope

m=\(\frac{y_2-y_1}{x_2-x_1}\)

m=\(\frac{3-4}{5-1}\)

Subtract

m=\(\frac{-1}{4}\)

The slope of the line is \(-\frac{1}{4}\)

Hope this helps!

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We need to find the slope between two points (1,4) and (5,3) . But , let's Recall the slope formula that we have ,the slope between any two points let they be \({\bf{(x_1 , y_1)}}\) and \({\bf{x_2 , y_2)}}\) is denoted by m and is given by :

Now , applying the same concept in our question :

\({:\implies \quad \sf m=\dfrac{3-4}{5-1}}\)

\({:\implies \quad \sf m=-\dfrac14}\)

\({:\implies \quad \bf \therefore \quad \underline{\underline{Slope=-\dfrac14}}}\)

The required bearing angle of town B from Thomas is 75°.

We have,

Bearing is basically an angle that is measured clockwise from the north. Bearing are generally written in three figure.

Given that

Thomas is facing towards town A, which is at a bearing of 300°.

Implies that town A is 300° from north.

If Thomas turns 135° clockwise, then he faces towards town B,

The bearing angle will be 300+135 = 435°

Since, one complete round makes angle 360°, therefore

The required bearing angle = 435 - 360 = 75

The bearing angle of town B from Thomas is 75°.

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Answer:

The distance would be 12.31073415. Rounded, 12.31

Step-by-step explanation:

First off, we know a decagon has 10 sides. Secondly, it is given that the total side length is 8 feet- split in half it's 4 and 4 (this will come into play in the formula). Next, we want to find the angle measure of one of the isosceles triangles. Thus, do 360/10 which gives 36. Then do 36/2 which equals 18. This is the angle measure we need. Now that we have the necessary information, we can set up the formula. Following SOHCAHTOA, we can see that we need to use the tangent to find the apothem since our opposite side length of 4 is given. Set up the equation like so: tan18 = 4/a. When plugged in and solved, the answer of 12.31073415 is received.

I hope that helped!

Answer:

he initial number of water lily’s :the value 1.106 represents the population increase rateedge

Step-by-step explanation:

The value 3.915 represents the initial population in the exponential equation of water lilies.

When the expression of function is such that it involves the input to be present as exponent (power) of some constant, then such function is called exponential function.

There usual form is specified below. They are written in several such equivalent forms.

The standard exponential equation is given as; y = ab^x

where;a is the initial population b is the rate (growth or decline)

We have been Given the exponential equation; y = 3.915(1.106^x)

On comparison, we can see that,

a  = 3. 915

Hence, This shows that the value 3.915 represents the initial population of water lilies.

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Answer:

The second company offers better value

Step-by-step explanation:

$17,75 / 6 = ~$2,96

$25 / 8 = ~$3,13

A randomized controlled trial in which each subject is assigned to a combination of at least two independent variables is an example of a Factorial Design.

In statistics, a full factorial experiment is one in which all potential combinations of the levels across all of the factors are taken into account by the experimental units. A full factorial experiment has two or more factors with discrete possible values or "levels" in its design. A fully crossed design is another name for a full factorial design. Using such an experiment, the researcher can examine how each element affects the response variable as well as how different factors interact with one another.

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The abscissa on the curve x^2 = 2y which is nearest to the point (4,1) is x = √(3/8).

Given the equation x^2 = 2y.

The coordinates of the point are (4,1).We have to find the abscissa on the curve that is nearest to this point.So, let's solve this question:

To find the abscissa on the curve x2 = 2y which is nearest to the point (4,1), we need to apply the distance formula.In terms of x, the formula for the distance between a point on the curve and (4,1) can be written as:√[(x - 4)^2 + (y - 1)^2]But since x^2 = 2y, we can substitute 2x^2 for y:√[(x - 4)^2 + (2x^2 - 1)^2].

Now we need to find the value of x that will minimize this expression.

We can do this by finding the critical point of the function: f(x) = √[(x - 4)^2 + (2x^2 - 1)^2]To do this, we take the derivative of f(x) and set it equal to zero: f '(x) = (x - 4) / √[(x - 4)^2 + (2x^2 - 1)^2] + 4x(2x^2 - 1) / √[(x - 4)^2 + (2x^2 - 1)^2] = 0.

Now we can solve for x by simplifying this equation: (x - 4) + 4x(2x^2 - 1) = 0x - 4 + 8x^3 - 4x = 0x (8x^2 - 3) = 4x = √(3/8)The abscissa on the curve x^2 = 2y that is nearest to the point (4,1) is x = √(3/8).T

he main answer is that the abscissa on the curve x^2 = 2y which is nearest to the point (4,1) is x = √(3/8).

The abscissa on the curve x^2 = 2y which is nearest to the point (4,1) is x = √(3/8).

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Answer:

$72.79

Step-by-step explanation:

16.25+19.5+(6.99*3)=56.72

56.72* 1.0875=61.683

61.683 * 1.18= 72.78594

rounded, you get $72.79

The length of the rivet should be 3/8 inch to pass through the two sheets of metal.

We must take into account the shank length as well as the thickness of the two metal sheets.

Assumed:

The thickness of the two metal sheets and the shank length must be added to determine the overall length of the rivet:

Total length = 2 * (Thickness of sheet metal) + Shank length

Substituting the values:

Total length = 2 * (1/16 inch) + 1/4 inch

Calculating the values:

Total length = 1/8 inch + 1/4 inch

Total length = 1/8 inch + 2/8 inch

Total length = 3/8 inch

So, the length of the rivet should be 3/8 inch to pass through the two sheets of metal.

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Step-by-step explanation:

Vertical length of the smaller  triangle is:

Horizontal length of the smaller triangle is:

The fraction:

This fraction is same for the larger triangle, which is 4/6 = 2/3.

It means the slopes are same.

Since the slopes are same, the segments are part of same red line.

Answer:

There will be 192 apples in 12 boxes.

Step-by-step explanation:

Divide 48 by 3 and you will get 16. So then multiply 16 by 12 and you get 192 apples.

Answer:

192

Step-by-step explanation:

48 :3 = 16

each box = 16 apples

now multiply 16 by 12

16x12= 192 apples

Answer:

\(\Large \boxed{\mathrm{independent: \ time}} \\\\\\ \Large \boxed{\mathrm{dependent: \ elevation }}\)

Step-by-step explanation:

The independent variable is on the x-axis.

The independent quantity is time.

The dependent variable is on the y-axis.

The dependent quantity is elevation.

Answer:

The dependent variable is on the y-axis.

The dependent quantity is elevation.

The independent variable is on the x-axis.

The independent quantity is time.

Answer:

K=-4/3

Step-by-step explanation:

-1/2=3/2k + 3/2

-4/2=3/2k

-4=3k

-4/3=k

Answer: I think it’s 4/5

Step-by-step explanation:

... sorry don’t really think my math is good lol.

The sinusiodal function created from 2 given points is y = 3 sin (πx + 90) + 3

From the case, we have:

Minimum point = (-3,0)

Maximum point = (-9,6)

The sinusoidal fuction would be in the form of:

y = A sin (Bx - C) + D

where:

A = amplitudo

B = 2π / Period

C = Phase shift

D = Midline

First, we need to find the amplitudo:

A = (Y max - Y min) / 2

A = (6 - 0) / 2

A = 3

Periode = (X max - X min) x 2

Periode = (-9 - (-3) x 2

Periode = -6

B = 2π / Periode

B = 2π / 6

B = 1/3 π

D = (Y max + Y min) / 2

D = (6 + 0) / 2

D = 3

We can use one point to find the value of C:

0 = 3 sin (π/3 (-3) - C) + 3

0 = 3 sin (π - C) + 3

-3 = 3 sin (π - C)

sin (π - C) = -1

(π - C) = 270

C = -1/2 π

C = - 90

Then the sinusiodal function would be:

y = 3 sin (πx + 90) + 3

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Answer:

y=140-10x is what i got as my answer

Answer:

x = 13.08 or 0.917

Step-by-step explanation:

\(x^{2} -5x=9x-12\)

First, subtract 9x by both sides.

\(x^{2} -5x-9x=-12\\x^{2} -14x=-12\)

And now we can use completing square method to solve for x.

\(x^{2} -14x=-12\)

Add (14/2)² to both sides of the equation.

\(x^{2} -14x+(14/2)^{2} =-12+(14/2)^{2} \\\\x^{2} -14x+49=-12+49\\\\x^{2} -14x+49=37\)

Factor the left side of the equation into a perfect square.

\((x-7)^{2} =37\)

Square root both sides of the equation and solve for x.

\(x-7=\±\sqrt{37}\)

Add 7 to both sides.

\(x = \±\sqrt{37} +7\)

Therefore,

x = √37 + 7

x = 13.08

or

x = -√37 + 7

x = 0.917

Thats too many questions mam Step-by-step explanation:

An equilibrium phase diagram can be used to determine phase transitions, phase presence, and phase compositions at different conditions.

An equilibrium phase diagram can be used to determine the below mentioned parameters:

A) It can determine where phase transitions will occur. Phase transitions refer to changes in the state or phase of a substance, such as solid to liquid (melting) or liquid to gas (vaporization). The phase diagram provides information about the conditions at which these transitions take place, such as temperature and pressure.

B) It can determine what phases will be present for each condition of chemistry and temperature. The phase diagram shows the different phases or states of a substance (such as solid, liquid, or gas) under different combinations of temperature and pressure. It provides a visual representation of the stability regions for each phase, indicating which phase(s) will be present at a given temperature and pressure.

C) It can determine the chemistry and amount of each phase present at any condition. The phase diagram gives information about the composition (chemistry) and proportions (amount) of different phases present under specific conditions. It helps identify the coexistence regions of multiple phases and provides insight into the equilibrium compositions of each phase at various temperature and pressure conditions.

In summary, an equilibrium phase diagram is a valuable tool in understanding the behavior of substances and can provide information about phase transitions, phase stability, and the chemistry and amounts of phases present at different conditions.

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Answer:

$2 per pound = $0.125. per pound

Step-by-step explanation:

The unit of weight conversion from pound to ounce is given as follows;

1 pound weight  = 16 ounces weight

1 ounce weight = 1/16 pound weight

Therefore, whereby the cost of 1 pound weight of an item is two dollars, we have;

The cost of one ounce weight of the item will be the cost of 1 pound weight, divided by 16 and given as follows;

$2 per pound = $2/16 per pound  = $0.125. per pound

Therefore;

$2 per pound = $0.125. per pound.

Answer:

30

Step-by-step explanation:

The formula for the perimeter of a rectangle is, P = length + breadth + length + breadth.

so, P = 9+6+9+6

P = 30

Answer:

20/27

Step-by-step explanation:

The amount the firm needs to deposit in the account now is 9,640.11. Given that the company has purchased a life truck with a useful life of 5 years, the maintenance costs for the truck during the first year are 2,000.

Also, maintenance costs are expected to increase at a rate of 300 per year over the remaining life, which is for four years. Assume that the maintenance costs occur at the end of each year.

The future maintenance costs for the truck can be calculated as shown below:

Year 1:\($2,000Year 2: $2,300Year 3: $2,600Year 4: $2,900Year 5: $3,200\)The maintenance account that earns 10% interest per year has to be set up, and all future maintenance expenses will be paid out of this account. The future value of the maintenance costs, i.e., the amount that the firm needs to deposit now to earn 10% interest and pay the maintenance costs over the next four years is given by:

\(PV = [C/(1 + i)] + [C/(1 + i)²] + [C/(1 + i)³] + [C/(1 + i)⁴] + [(C + FV)/(1 + i)⁵]\),where PV is the present value of the future maintenance costs, C is the annual maintenance cost, i is the interest rate per year, FV is the future value of the maintenance costs at the end of year 5, which is $3,200, and 5 is the total number of years, which is

5.Substituting the given values in the above equation:

\(PV = [2,000/(1 + 0.1)] + [2,300/(1 + 0.1)²] + [2,600/(1 + 0.1)³] + [2,900/(1 + 0.1)⁴] + [(3,200 + 3,200)/(1 + 0.1)⁵] = 9,640.11\)Therefore, the firm needs to deposit 9,640.11 in the account now. Hence, option (A) is the correct answer.

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Answer:

5/3 yellow cups of paint

Step-by-step explanation:

Yellow: 1/3

Blue: 1/5

Multiply each by 5 because 1/5 times 5 is one

1/3(5) = 5/3

1/5(5) = 5/5

Final Answer:

Blue: 5/5

Yellow: 5/3

Answer:

Acute, Straight..... thats all i know

Step-by-step explanation:

Answer:

1. LCM for 9 and 12 - 36

2. LCM for 8 and 10 - 40

3. LCM for 3 and 6 - 6

4. GCF for 58 and 87 - 29

5. GCF for 26 and 65 - 13

6. GCF for 22 and 55 - 11

Order is as follows(going off the numbers 1-6) - 3, 6, 5, 4, 1, and 2

Hope This Helps!

I'm glad I could help you with so many problems! :)