Given that f(x) = -4x, g(x)= x − 5 and h(x) = −3ƒ(x − 2) + g(x − 3),
-
then what is the value of h(7)?

Using Pythagoras' theorem, we can conclude that we can put a 79.65 inches TV in the TV cabinet.

We have been given that a TV -cabinet is 64 inches long and 52 inches high.

After leaving 2 inches on all sides, our new dimensions would be:

Length = 66 - 2 - 2 = 66 - 4 = 62 inches

Height = 54 - 2 - 2 = 54 - 4 = 50 inches  

Using Pythagoras' theorem, we can find the diagonal of the television

Diagonal² = 62² + 50²

Diagonal² = 3844 + 2500

Diagonal² = 6344

Take square root of both sides:

Diagonal = √6344

Diagonal = 79.65 inches

Hence, we can put a 79.65 inches TV

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Answer:

(I) The nearest whole number is 317.5 meters per minute.

(ii) One decimal place is 317.5 meters per minute.

(iii) Two decimal places is 317.47 meters per minute.

(iv) Three significant figures is 317 meters per minute.

Note: To find the average velocity, divide the distance traveled by the time it took to travel that distance. 1500 meters / 4.67 minutes = 322.2 m/min. But since you want the answer rounded to different degrees, you can round the answer accordingly.

Answer:

Step-by-step explanation:

let the common ratio be x.

boy 1 share= 6x

boy 2 share= 7x

boy 3 share= 8x

-------------------------------

                    21x= 10500.00

              => x= 10500/21

                   x= 500

6 x 500= $3000

7x 500= $3500

8 x 500= $28000

therefore,  boy 3 has the largest share of $28000.

Let's call the length of the bottom side of the triangular banner "b". When Alice reaches her arm up above the ground, the height of the banner changes from its original height of "h" to a new height of "h'". The area of the banner can be calculated using the formula:

A = (b * h') / 2

The new height "h'", can be calculated using the Pythagorean theorem, which states that in a right triangle, the sum of the squares of the two shorter sides is equal to the square of the longest side (the hypotenuse).

In this case, the two shorter sides are the original height "h" and the difference between the length of Alice's arm and the original height, which we will call "d". The longest side is the distance between the two anchors, which we will call "a".

So:

h^2 + d^2 = a^2

We can solve for "d" using this equation:

d = sqrt(a^2 - h^2)

And then we can find "h'" using:

h' = h + d

So the area of the banner can be calculated as:

A = (b * (h + sqrt(a^2 - h^2))) / 2

The solution assumes that the banner is a right triangle, with one vertex at the top, one vertex at the bottom, and a straight side along the ground connecting the two bottom vertices.

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Answer:

Step-by-step explanation:

its number 3

Answer:

4

Step-by-step explanation:

1h

2hrs

10 mins before

wait 30mins

total: 3h 40mins

so has to buy 4hrs

Answer:

she has to pay for 3 hours and 40 minutes worth of parking so 4 or 3 if its rounded or not

Step-by-step explanation:

The sample is 3, 71, 139, 207, and 275.

The procedure for systematic random sampling involves first dividing the population size by the sample size and rounding the result down to the nearest whole number, m. This value of m is known as the sampling interval. For the given population size of 341 and sample size of 5, the value of m is 68.

Next, a random number, k, between 1 and m is chosen. The given random-number table contains the values 03184, 61921, 87377, 97729, and 79151. Reading the two-digit number at the top left, we get 03, which is equal to 3. Therefore, k = 3.

Finally, the sample is taken from the population in intervals of m. In this case, the sample consists of members of the population numbered 3, 71, 139, 207, and 275. Therefore, the sample is 3, 71, 139, 207, and 275.

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Answer:

B

Step-by-step explanation:

Δy = -10-10= -20

Δx = -12-(-6) = -6

-20/-6= 10/3

25 Degres it is a obtuse angle using the dewy decimal system

Answer:

The person above me is correct

25

Step-by-step explanation:

Answer:

Step-by-step explanation:

If Damien can get to 70% maximum ranking in 56 hours, then we can make this equation:

0.7x(representing 70%)=56 (Amount of time Damien has played)

0.7x=56

Divide 0.7 on both sides we get:

x=80

Damien will have to play 80 hours to get to 100% Rank.

Approximately 86.5% of customers will be served in less than 10 minutes and only 13.5% of customers will take more than 10 minutes to check out.

To find the proportion of customers who take more than 10 minutes to check out, we need to calculate the cumulative distribution function (CDF) of an exponential distribution at 10 minutes and subtract it from 1. The CDF for an exponential distribution with mean (lambda) 5 minutes is given by:

CDF = 1 - e^(- λ * x)

Plugging in λ = 0.2 (1/mean) and x = 10, we get:

CDF = 1 - e^(-0.2 * 10) = 1 - e^(-2) = 1 - 0.135 = 0.865

So, approximately 86.5% of customers will be served in less than 10 minutes and only 13.5% of customers will take more than 10 minutes to check out.

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Answer:If at the end of any year a car is worth 5% less than what it was worth at the beginning of the year, we can say that the car's value decreases by a factor of 0.95 (1 - 0.05) every year.

To find the car's value in December 2009, we can use the formula:

Car value at end of year = Car value at beginning of year * (1 - 0.05)^(number of years)

Plugging in the given values, we get:

Car value in December 2009 = 10,000 * (1 - 0.05)^1 = 9,500

So the car's value in December 2009 is 9,500 dollars.

Step-by-step explanation:

Answer:

9500

Step-by-step explanation:

If you didn't understand that one (which I personally found a little complicated) the answer can be found like this.

1. You firstly find the decrease which is 5/100 × 10000 (5/100 can also be written as 5%) and the answer will be 500

2. Then you take the original value and you minus the loss in worth of the car —> 10000-500 = 9500

Hence, we can say that the weight of a person of 75 Kg in lbs will be equal to 165.3465lbs.

We know that the conversion factor for lbs to kg is

1 kg = 2.20462lbs

Now, to convert 75 Kg into lbs, we need to multiply the 75 with the conversion factor. That is,

75kg = 75×2.20462lbs = 165.3465lbs

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Answer:

Step-by-step explanation:

angleNOP AND anglePOQ

anglePOQ AND angleQOR

The equation of the parabola with focus at (-7,9) and directrix at y = 11 is given as follows:

(x + 7)² = -4(y - 10)

The equation of a vertical parabola is given as follows:

(x - h)² = 4p(y - k)

In which:

A parabola can be drawn given a focus of (-7, 9), hence:

Directrix of y = 11, hence:

k - p = 11.

Adding the equations of the y-coordinate of the focus and of the directrix, the value of k is obtained as follows:

2k = 20

k = 20/2

k = 10.

Hence the value of p is of:

p = k - 11

p = -1.

Meaning that the equation is:

(x + 7)² = -4(y - 10)

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Answer:

Step-by-step explanation:

219y+608=−121156 219y+608=−121156 219y+608=−121156 v 219y+608=−121156v219y+608=−121156vvv219y+608=−121156=  365

Answer:

d = 114t

Step-by-step explanation:

distance = rate * time

therefore, rate = distance/time

684 ft in 6 sec = 114 ft per sec (this is the 'rate')

so the distance can be calculated by multiplying time in seconds to get distance in feet

d = 114t

The correct answer is option is option d) not exact but having an integrating factor x c e.

Integrating factor is defined as the function which is selected in order to solve the given differential equation. It is most commonly used in ordinary linear differential equations of the first order. When the given differential equation is of the form; dy/dx + P(x) y = Q(x)

We have, (x2+y2)dy= -xydx

⇒dxdy= -(x2+y2xy)

Substitute y=vx

⇒ - dxdy=v+xdxdv

⇒v+xdxdv= -(1+v2v)

⇒ xdxdv= -(1+v2v−v)

            = -(−1+v2v3)

⇒v31+v2dv =xdx

Integrating both sides we get, −2v21+logv= logx-logc, where c is constant

⇒−2v21+log(cvx)=0

⇒y=cex2/2y2

Now using y(1)=1⇒c=e−1/2

Also y(x0)=e

⇒e=e−1/2+x02/2e2⇒1=−1/2+x02/2e2

⇒x02=3e2

⇒x0=[tex]\sqrt{3}[/tex]e

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Andrew is correct because 60 is the highest whole number that can round to 60. Any number higher than 60 will round up to a higher number. For example, 61 will round up to 70, and 62 will round up to 70. Therefore, 60 is the greatest whole number that rounds to 60.

The highest whole number is infinity, as there is no limit to how high a number can be. Whole numbers are all the numbers that are greater than or equal to 0, including 0 itself. The highest whole number is therefore infinity, as this is the highest possible number.

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The acceleration of an object is interpreted as the rate of change at which its speed varies with time. When the motion is vertical, the object has an acceleration when its speed varies, while when the speed is constant, the acceleration is equal to zero. The acceleration of the box is 0.614 m/s.

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The correct description is that moon is waxing.

The theory used in this question is the lunar cycle, which is the process by which the moon changes its shape and illumination over the course of a month.

The waxing phase of the lunar cycle is when the moon is gradually getting bigger and more illuminated.

The waning phase is when the moon is gradually getting smaller and less illuminated.

The moon is waxing:

This is an accurate description because when the moon changes from a new moon to a full moon, it is said to be waxing.

This means that the moon is gradually getting bigger, and its illuminated side is increasing.

This process is called the waxing phase of the moon's cycle.

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In the given simultaneous linear equation, the value for x is 3 and the value for y is 2.

A system of simultaneous linear equations is any set of two or more linear equations that share the same variables involved. Obtaining values for the unknown variables that simultaneously satisfy all of the equations is required to solve such a system.

In the given question,

x + y = 5.......(i)

x2 - 2y2 = 1.......(ii)

x = 5 - y.........(iii)

Substituting x in equation(ii) = (5 - y)2 - 2y2 = 1

25- 10y + y2 - 2y2 = 1

25 - 1 = y2 + 10y

y2 + 10y2 - 24 = 0

(y + 12)(y - 2) = 0

Then Either y + 12 = 0 or y - 2 = 0

= (-12, 2)

Thus, y = 2

Now, substituting the value of y in equation (i),

x + y = 5

x + 2 = 5

x = 5 - 2

x = 3

Therefore x = 3 and y = 2.

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To calculate the probability a) P = (4C4 x 3C3)/(12C12) = 1/12. (b) P = (4C1 x 3C3 x 5C5)/(12C12) = 1/12. (c) P= (4C1 x 3C3 x 4C3 x 5C4)/(12C12) = 1/9. (d) P= (4C2 x 3C3 x 5C5)/(12C12) = 1/36.

(a) To calculate the probability that all hip surgeries are completed before another type of surgery, we first determine the total number of possible combinations of surgeries (12C12). We then calculate the number of combinations with four hip surgeries and three knee surgeries (4C4 x 3C3). We divide the number of combinations with the desired schedule by the total number of combinations to get the probability (1/12). (b) To calculate the probability that the schedule begins with a hip surgery, we first determine the total number of possible combinations of surgeries (12C12). We then calculate the number of combinations with one hip surgery, three knee surgeries, and five shoulder surgeries (4C1 x 3C3 x 5C5). We divide the number of combinations with the desired schedule by the total number of combinations to get the probability (1/12). (c) To calculate the probability that the first and last surgeries are hip surgeries, we first determine the total number of possible combinations of surgeries (12C12). We then calculate the number of combinations with one hip surgery at the start, three knee surgeries, three hip surgeries, and four shoulder surgeries (4C1 x 3C3 x 4C3 x 5C4). We divide the number of combinations with the desired schedule by the total number of combinations to get the probability (1/9). (d) To calculate the probability that the first two surgeries are hip surgeries, we first determine the total number of possible combinations of surgeries (12C12). We then calculate the number of combinations with two hip surgeries, three knee surgeries, and five shoulder surgeries (4C2 x 3C3 x 5C5). We divide the number of combinations with the desired schedule by the total number of combinations to get the probability (1/36).

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Answer:

answer is 1

Step-by-step explanation:

12-y/6y-36

and other you can see by photo

The smallest sample standard deviation

Confidence Level: 95%; Confidence Interval: 42 to 48.

Assume that x  ±   y represents the confidence interval at P% for the values of some parameter.

In other words, the parameter's projected value is P% likely to fall within the range.

[x - y, x + y]

Data on how quickly a brand-new iron skillet rusts were gathered by four research teams using various techniques.

Assume that everyone is in agreement with the sample size and sample mean (in days).

Choose the team with the smallest sample standard deviation using the (confidence level; confidence interval) pairs below.

Then we have

= 48 - 42 = 6

Then we have

= 6/2

=3, which is smallest

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The question you have uploaded is seems to be incomplete, the complete question is

A. Confidence Level: 99.7%; Confidence Interval: 40 to 40

B. Confidence Level: 95%; Confidence Interval: 40 to 50

C. Confidence Level: 68%; Confidence Interval: 43 to 47

D. Confidence Level: 95%; Confidence Interval: 42 to 48

Save store sold 100/3.

Two or more expressions with an Equal sign is called as Equation.

In figure A there are 12 stores

Now each store sells 200/12

If save store is 2

Save store sells =200/12×2

=100/3

Hence, save store sold 100/3.

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[tex]\huge\text{Hey there!}[/tex]

[tex]\huge\textbf{ASSUMING:}[/tex]

[tex]\mathsf{\dfrac{3}{2}(4x + 6)}[/tex]

[tex]\huge\textbf{If so, distribute \boxed{\rm{\bf \dfrac{3}{2}}} within the}\\\\\huge\textbf{parentheses}[/tex]

[tex]\mathsf{\dfrac{3}{2}(4x + 6)}[/tex]

[tex]\mathsf{= \dfrac{3}{2}(4x) + \dfrac{3}{2}(6)}[/tex]

[tex]\mathsf{= \dfrac{3}{2}\times \dfrac{4}{1}x + \dfrac{3}{2} \times \dfrac{6}{1}}[/tex]

[tex]\mathsf{= \dfrac{3\times4}{2\times1}x +\dfrac{3\times6}{2\times1}}[/tex]

[tex]\mathsf{= \dfrac{12}{2}x +\dfrac{18}{2}}[/tex]

[tex]\mathsf{= 6x + 9}[/tex]

[tex]\huge\textbf{Therefore your answer should be:}[/tex]

[tex]\huge\boxed{\mathsf{6x + 9}}\huge\checkmark[/tex]

[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]

One significant mathematical function that has the form is the exponential function, f(x) = [tex]$$a^x[/tex].

If f(x) = [tex]$$a^x[/tex], where x is the input variable and is expressed as an exponent, is the formula for an exponential function. In addition to being dependent on the exponential function, the exponential curve also depends on the value of x. One significant mathematical function that has the form is the exponential function. f(x) = [tex]$$a^x[/tex].

The four fundamental characteristics of exponential functions are their y-intercept, horizontal asymptote, domain (the range of x values at which the function occurs), and constant growth factor, b.

Calculating the exponential growth or decay of a set of given data is done using an exponential function. According to the power to the power rule, "If the base increased to a power is being raised to another power, then the two powers are multiplied and the base remains the same."

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There will be 17 students voted for the famous athlete.

You can calculate this by multiplying the number of students in the grade (85) by the percentage who voted for the athlete (20% or 0.20).

85 x 0.20 = 17

The method used here is called "Percentage calculation." The method of percentage calculation is generally applicable to many situations where you want to find the proportion of a number relative to another number. It can be used to solve problems in various fields such as mathematics, finance, statistics, and more.

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