Derek wants to determine the height of the top of the backbpard on the basketball goal at the playground. He places a standard 12-
inch ruler next to the goal post and measures the shadow of the ruler and the backboard. If the ruler has a shadow of 11 inches and
the backboard has a shadow of 7.5 feet, then about how high is the top of the backboard?

Answer:

50

Step-by-step explanation:

1000+250=1250

After that Just do it in reverse:

1250/25=50

Answer:

5×3=15

15×3=45

therefore the largest value is 45

The largest possible value in the set is 92. The set has an equal mean and median. So, the set is {29, 29, 50, 50, 92}.

Mean:

For a set of data, the average of all the data values is said to be its mean.

Median:

When the set is arranged in ascending order, the middle term is said to be its median (if there are an odd number of data values in the set) or the average value of the two middle terms is the median (if there are an even number of data values in the set).

It is given that,

there are 5 numbers in the set

Mean = 50 and Median = Mean

So, Median = 50

Since there are 5 numbers in the set (odd number), the median is the third(middle) number.

Consider the first or smallest number as 's'.

Then the largest number = 3s + 5

By minimizing each term we get,

first term = s

second term = s

third term = 50

fourth term = 50

fifth term = 3s+5

If the mean is 50, then the sum of all the terms = 50 × 5 = 250

So,

s + s + 50 + 50 + 3s + 5 = 250

⇒ 5s + 105 = 250

⇒ 5s = 145

∴ s = 29

Thus, the smallest number is 29

Then, the largest number = 3s + 5 = 3 × 29 + 5 = 92

Therefore, the largest number in the given set is 92.

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Answer:

y = (3/10)x + 1/10

Step-by-step explanation:

The general structure of an equation in slope-intercept form is:

y = mx + b

In this form, "m" represents the slope and "b" represents the y-intercept. First, we need to rearrange the given equation to determine the slope of the original line.

10x + 3y = 5                                <----- Original equation

3y = -10x + 5                               <----- Subtract 10x from both sides

y = (-10/3)x + 5                            <----- Divide both sides by 3

Now, we can tell that the slope of the original line is m = -10/3. The perpendicular line should have an opposite-signed, reciprocal slope to that of the original. Therefore, the new slope is m = 3/10.

We can find the value of "b" by plugging the new slope and values from the Point (3, 1) into slope-intercept form.

m = 3/10

x = 3

y = 1

y = mx + b                                  <----- Slope-intercept form

1 = (3/10)(3) + b                           <----- Insert values

1 = 9/10 + b                                 <----- Multiply 3/10 and 3

10/10 = 9/10 + b                          <----- Create common denominators

1/10 = b                                      <----- Subtract 9/10 from both sides

Now that we know the values for "m" and "b", we can construct the equation of the perpendicular line.

y = (3/10)x + 1/10

Answer:

15.2

Step-by-step explanation:

The explanation is in the photo.. but basically this question is about similar triangles and you need to find the scale factor to find the height.

Hope it helps

the height of the tree is approximately 15.2 meters.

To find the height of the tree, we can set up a proportion between Andrew's height and the height of the tree based on their respective shadow lengths.

Let's denote the height of the tree as "h" meters.

The proportion between the height and shadow lengths can be written as:

h / 28.0 = 1.9 / 3.5

Now, we can solve for "h":

h = (1.9 / 3.5) * 28.0

h ≈ 15.2 meters

To the nearest tenth of a meter, the height of the tree is approximately 15.2 meters.

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Answer:

  385.7 ft

Step-by-step explanation:

The relation between speed, distance, and time is ...

  distance = speed × time

The speed is given in miles per hour, but the time is given in seconds and the distance is wanted in feet. This suggests a conversion of speed to feet per second is appropriate.

  [tex]\dfrac{52.7\text{ mi}}{\text{h}}\times\dfrac{1\text{ h}}{3600\text{ s}}\times\dfrac{5280\text{ ft}}{1\text{ mi}}=\dfrac{52.7\cdot22\text{ ft}}{15\text{ s}}=77.29\overline{3}\text{ ft/s}[/tex]

The distance traveled is the product of this speed and the time period.

  [tex]\dfrac{77.29\overline{3}\text{ ft}}{1\text{ s}}\times4.99\text{ s}=385.6937\overline{3}\text{ ft}\approx\boxed{385.7\text{ ft}}[/tex]

Answer:

B

Step-by-step explanation:

Use the Pythagorean theorem, 7^2+24^2=25^2

49+576=625

625=625

All the other answers do not satisfy the Pythagorean theorem (a^2+b^2=c^2)

Answer: A, B

Step-by-step explanation:

A right triangle's sides have a special property that the sum of the squares of the two legs is equal to the square of the hypotenuse. This is also known as the Pythagorean Theorem.

Let's check if this theorem holds true for each triangle.

[tex]11^2+13^2=(\sqrt{290})^2\\ 121 + 169=290\\ 290 = 290[/tex]

The Pythagorean Theorem holds true, so this is a right triangle.

[tex]7^2+24^2=25^2\\ 49 + 576 = 625\\ 625=625[/tex]

The Pythagorean Theorem holds true, so this is a right triangle.

[tex]2^2+5^2=7^2\\ 4+25=49\\ 29 = 49[/tex]

This is a false statement, which doesn't make this triangle a right triangle. We could have use the triangle inequality theorem to prove that this isn't a triangle at all, and therefore not a right triangle, but I encourage you to learn about it and try it yourself.

Hello and Good Morning/Afternoon:

Let's take this problem step by step:

Let's consider what the problem wants:

⇒ the value of (f-g)(y)

Let's consider what the problem gives us:

⇒ the value of f(y) and g(y)

Let's consider the relationship between f(y), g(y) and (f-g)(y)

 ⇒ [tex](f-g)(y)=f(y)-g(y)[/tex]

Let's solve for (f - g)(y)

 [tex]\hookrightarrow(f-g)(y) = f(y)-g(y) = 5y^2-2y+1-(-3y^2-y-2)\\=5y^2-2y+1+3y^2+y+2=8y^2-y+3[/tex]

Answer: 8y²- y + 3

Hope that helps!

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V(t)=2000(1.02)^t function that gives the total value in dollars of the investment t years from now given that Shota invests $2000 in a certificate of deposit that earns 2 percent interest each year. This can be obtained by using the formula of compound interest formula.

Equation of compound interest compounded yearly,

A = P(1 + R/100)^t

where,

A = amount

P = principal amount

R = rate

t = number of years

Given that P = $2000, R = 2%, number of years = t,

V(t) = 2000(1+2/100)^t

V(t) = 2000(1+0.02)^t

V(t) = 2000(1.02)^t

Hence V(t)=2000(1.02)^t function that gives the total value in dollars of the investment t years from now given that Shota invests $2000 in a certificate of deposit that earns 2 percent interest each year.

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The domain of the function are all real numbers greater than 10

Domain are values of the independent variables for which the function exist.

Given the function below;

[tex]f(x)=2\sqrt{-x^2+10x}[/tex]

For the function to exist, then;

-x^2+10x = 0

-x^2 = -10x

x = 10

Hence the domain of the function are all real numbers greater than 10

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A certain journey by train takes 5 hours at the speed of 45 km/h. What will be the speed of the train to complete the same journey in 3 hours?

Answer:

Journey taken time 5 hour at speed of 45km/hr

So,

 1 hour=45/5=9km/hr

Therefore,3 hour=(9x3)km/hr.

(please mark me brainliest if my answer was good)

Sanjay and Felipe would take a time of 3.4 hours to do the puzzle if they were working together.

Time can be described in mathematics as an ongoing and continuous series of events that take place one after another, from the past through the present and into the future.

The amount of time that something exists or continues to happen as measured or measurable.

The duration of events or the gaps between them can be measured, compared, or even ordered using time.

Time taken by Sanjay= 6 hours

Time taken by Felipe= 8 hours

Time taken by both if they work together,

=[tex]\frac{1}{1/6+1/8}[/tex]

=[tex]\frac{1}{\frac{4+3}{24} }[/tex]

=24/7

=3.4 hours

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Answer:

the answer is C

Step-by-step explanation:

Answer:

Khan Academy.

Step-by-step explanation:

You can go on khan academy and search up "equations, expressions". The videos should immediately pop up. there are also lessons if you don't want to risk getting your problem wrong. If you are still confused and do not understand please just comment and I will respond.

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

[tex]\huge\textbf{Assuming the equation should be:}[/tex]

[tex]\mathbf{3a - (2^2 + 1)^2 + a}[/tex]

[tex]\huge\textbf{Simplify it: }[/tex]

[tex]\mathbf{3a - (2^2 + 1)^2 + a}[/tex]

[tex]\mathbf{= 3(8) - (2^2 + 1)^2 + 8}[/tex]

[tex]\mathbf{= 24 - (2^2 + 1)^2 + 8}[/tex]

[tex]\mathbf{= 24 - (4 + 1)^2 + 8}[/tex]

[tex]\mathbf{= 24 - 5^2 + 8}[/tex]

[tex]\mathbf{= 24 - 25 + 8}[/tex]

[tex]\mathbf{= -1 + 8}[/tex]

[tex]\mathbf{= 7}[/tex]

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

[tex]\huge\boxed{\frak{Option\ B. 7}}\huge\checkmark[/tex]

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

Welcome to https://saigonstartravel.com/ Saigon Star Travel – Top Thương Hiệu Du Lịch Hàng Đầu Tại TP Hồ Chí Minh là Đơn vị tổ chức Tour du lịch trong nước & nước ngoài chuyên nghiệp, Dịch vụ Visa – Vé máy bay Nhanh chóng & Uy tín và Cho Thuê xe Du lịch từ 16-29-35-45 chỗ & Xe giường nằm Chất lượng.

Answer:

1 positive solution (and 1 negative)

the greatest solution is about 2.87

Step-by-step explanation:

so, it is

x² + 2x + 7 = 21

x² + 2x - 14 = 0

the general solution to such a quadratic equation is

x = (-b ± sqrt(b² - 4ac))/(2a)

in our case

a = 1

b = 2

c = -14

x = (-2 ± sqrt(2² - 4×1×-14))/(2×1) =

= (-2 ± sqrt(4 + 56))/2 = (-2 ± sqrt(60))/2 =

= (-2 ± sqrt(4×15))/2 = (-2 ± 2×sqrt(15))/2 =

= -1 ± sqrt(15)

x1 = -1 + sqrt(15) = 2.872983346... ≈ 2.87

x2 = -1 - sqrt(15) = -4.872983346...

The amount of rim needed for each window is 141.4 in

Since the outer rim is the length of an arc, we use the formula for length of an arc of a circle.

An arc is part of section of the circumference of a circle

So, length of arc, L = Ф/360 × 2πR where

Gven that for the window rim

Substituting the values of the variables into the equation for L, we have

L = Ф/360 × 2πR

L = 270°/360° × 2π × 30 in

L = 3/4 × 2π × 30 in

L = 3/2 × π × 30 in

L = 3 × π × 15 in

L = 45π in

L = 141.37 in

L ≅ 141.4 in

So, the amount of rim needed for each window is 141.4 in

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(a) The Sample mean of each sample is 1, 2, 5, 1.5, 3, 3.5, 3, 1.5,3,3.5.

(b) The mean of the sample means from part (a) is 8/3.

(c) Yes, The mean of the sample distribution is always equal to the mean of the Population.

According to the questions,

Game number                          1      2        3      Total

Number of interceptions         1        2       5          8

a)   Element 1            Element 2

    1                              1

    2                            2

    5                            5

    1                             2

    1                            5

  2                             5

  2                              1

  5                               1

   5                              2

Sample mean of each sample is 1, 2, 5, 1.5, 3, 3.5, 3, 1.5,3,3.5.

b) The mean of the sample means from part a.

     (1+2+5+1.5+3+3.5+1.5+3+3.5)/9 = 8/3

The mean of the sample means from part (a) is 8/3

c) Mean of the populations = (1+2+5)/3 = 8/3

   The mean of the sample distribution from part b. is 8/3

Yes, The mean of the sample distribution is always equal to the mean of the Population

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The equation would find the distance between the two points is

[tex]\sqrt{(x_{2}-x_{1}) ^{2}+(y_{2}-y_{1}) ^{2} }[/tex]

According to the question,

The equation would find the distance between the two points is

[tex]\sqrt{(x_{2}-x_{1}) ^{2}+(y_{2}-y_{1}) ^{2} }[/tex]

If (x₁, y₁) and (x₂, y₂) be any point in the plane then the distance between the two points equation is [tex]\sqrt{(x_{2}-x_{1}) ^{2}+(y_{2}-y_{1}) ^{2} }[/tex]

Hence, the equation would find the distance between the two points is

[tex]\sqrt{(x_{2}-x_{1}) ^{2}+(y_{2}-y_{1}) ^{2} }[/tex]

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The best description on measurement of the center of this data is; C. The Rome data center is best described by the mean. The New York data center is best described by the median.

If we make the box and whisker plot of the Rome and New York data, we will see that there will clearly be an outlier in the New York data.

Thus;

Due to the fact that the data set for New York has an outlier and the mean is skewed, it means that we would use the median.

Finally, we see that the Rome data set is symmetrical because it has no outlier,  and as such we can use the mean.

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Answer:

1. 5.46 inches

2. 111% rounded to the nearest percent

3. 85.9 tons

4. 367.2 ft.

5. 49 percent

6. 466.7 inches

Step-by-step explanation:

1. .28 x 19.5

2. 97 = 87x  Divide both sides by 87

1.11 = x  This gives our answer as a decimal.  Move the decimal 2 places to the right to make a percent. 111%

3. 146 = 1.7x  to change a percent to a decimal move the decimal to places to the left.  Divide both sides by 1.7 and round

x = 85.9

4. (2.7) 136 = x

367.2 = x

5. x123 = 60  Divide both sides by 123

x = 0.4878  Move the decimal two places to the right and round to make a percent. 48.8

6. .12x = 56  Divide both sides by .12

x = 466.7

Simon is correct because even though the input values are opposite in the reflected function, any real number can be an input for an exponential growth function.

Verification of Choice

Let us consider the following exponential growth function.

y = Aeˣ ...........................(1)

This equation changes when it is reflected across the y axis and becomes,

y = Ae⁻ˣ ...........................(2)

Here, the set of all x values for which y is defined is known as the domain of this exponential growth function.

Therefore, the domain of exponential growth function 1 is the set of all real numbers, given by, x ∈ [-∞,∞]

The domain of function 2, which is a reflection of function 1, will also consist entirely of real numbers and will be given by x ∈ [-∞,∞ ]

Therefore, between Alissa and himself, Simon is right when he asserts that even if an exponential growth function is reflected across the y-axis, the domain will still consist only of real values.

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A function for the described sequence is; f(n) = 6• 3^(n-1) and the sixth term is; 1458.

Since, it follows that the first term of the sequence is; 6 and the common ratio is 3, it follows that the recursive function that represents the sequence is; f(n) = 6• 3^(n-1).

Additionally, by substitution of 6 for n; f(6) = 1,458.

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Basado en la información, el valor de abc + bca + cab debe ser de 60.

El valor de la combinación de estás tres letras es de 20.

Según la propiedad conmutativa el orden de los factores sumados no debe afectar su resultado, por lo que:

20+20+20 = 60

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Answer:

B. Every integer is also an irrational number.

There are zero positive real roots for the given polynomial equation [tex]x^4 + x^3 + x^2 + x + 1 = 0[/tex]. This is explained by Descarte's rule of signs. So, the best choice is T (true).

The given polynomial equation is [tex]x^4 + x^3 + x^2 + x + 1 = 0[/tex]

On applying Descarte's rule of signs,

[tex]f(x)=x^4 + x^3 + x^2 + x + 1[/tex]

Since there are no changes in the signs of the coefficients of any of the terms in the above polynomial, the polynomial has no positive real roots.

[tex]f(-x)=(-x)^4+(-x)^3+(-x)^2+(-x)+1\\ = x^4-x^3+x^2-x+1[/tex]

Since there are four changes in the signs of the coefficients of the terms of the given polynomial when f(-x), the polynomial has 4 negative real roots.

Therefore, the given polynomial equation has zero positive real roots. So, the correct choice is T(true).

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Fencer X attacks. Fencer Y makes a parry, and scores a riposte to the valid target of Fencer X. During the parry, Fencer Y strikes Fencer Xs mask with the bell guard. annual the touch fencer Y recieves  a RED CARD.

what are the fencing rules ?

Penalty cards or flags are also used in modern fencing. Each card has a unique meaning. A fencer who receives a yellow card is warned, but no further action is taken. A fencer who receives a red card is warned, and their opponent receives a touch. A fencer who receives a black card is disqualified from the competition and may be disqualified from the tournament, expelled from the venue, or suspended from future tournaments if the offence is serious. However, black cards are rarely given to fencers. It should be noted that spectators can (and occasionally are) carded or expelled.

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Answer:

200

Step-by-step explanation:

Just do it in reverse and reverse "roles" multiplying Becomes Devidng and Devidng Becomes multiplying:

80/2=40, 40x5=200

Answer:

x = 18

Step-by-step explanation:

In order for a triangle to be a triangle, all angles must add up to 180.

This means that we can create an equation to solve for x, using the angles given.

180 = 60 + (4x+3) + (2x+9) --> remove brackets and combine like terms

180 = 60 + 6x + 12

180 = 72 + 6x

108 = 6x

18 = x

The correct order of the numbers is 0.8 < 5/6 < 12/13. The correct option is B.) 0.8 < 5/6 < 12/13

From the question, we are to determine the correct order of the numbers

The given numbers are

5/6, 12/13, and 0.8

Convert the fractions to decimals

5/6 = 0.8333

12/13 = 0.923

Thus, the numbers are

0.8333, 0.923, and 0.8

Order the numbers from the smallest to the largest

0.8 < 0.8333 < 0.923

≡ 0.8 < 5/6 < 12/13

Hence, the correct order of the numbers is 0.8 < 5/6 < 12/13. The correct option is B.) 0.8 < 5/6 < 12/13

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