What is the slope of the line below?

Answer: 14h + 11d

That's it

The length of the shadow to the nearest tenth is 24.6 metres.

A 29 metres tall building casts a shadow.  The distance from the top of the building to the tip of the shadow is 38 metres.

The length of the shadow can be calculated as follows;

The situation forms a right angle triangle.

Hence, the length of the shadow can be found using Pythagoras's theorem.

c² = a² + b²

38² - 29² = b²

1444 - 841 = b²

b²= 603

b = √603

b = 24.5560583156

b = 24.6 metres

Therefore,

length of the shadow = 24.6 metres.

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Answer:

87.5%

12%

Step-by-step explanation:

7 divided by 8 equals 0.875

Multiply that by 100 to get percent to get 87.5%

6 divided by 50 equals .12

Multiplied by 10p to get percent is 12%

Hopes this helps please mark brainliest

Answer:

87.5%

12%

Step-by-step explanation:

Use a calculator to divide the numerator by the denominator. Then multiply the decimal by 100.

7/8 = 0.875 = 87.5%

6/50 = 0.12 = 12%

The point-slope form the equation of the line passing through (-6,-2) and (-3,-23) is 7x + y +44=0

What is point-slope form the equation of line?

The point-slope form of the equation of line passing through two points (x₁,y₁) and (x₂,y₂) is given by:

(y-y₁) = m(x-x₁)

Where m is slope and m  =(y₂-y₁)/(x₂-x₁)

Here, given points are  (-6,-2) and (-3,-23).

So, x₁ = -6, y₁ = -2

x₂ = -3, y₂ = -23

So,

Slope of line of line (m) = {-23-(-2)}/{-3-(-6)}

= (-23+2)/(-3+6)

= -21/3

m= -7

Now,

Equation of line passing through the given points is given by-

y-(-2)= -7{x-(-6)}

y +2 = -7(x+6)

y+2 = -7x - 42

7x + y +42 +2=0

7x + y +44=0

Hence, the equation of line passing through the given points is 7x + y +44=0

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Answer: [tex]-4.45, 0.45[/tex]

Step-by-step explanation:

[tex]5x+2=x^2 +9x\\\\x^2 +4x-2=0\\\\x=\frac{-4 \pm \sqrt{4^2 -4(1)(-2)}}{2}\\\\x=-2 \pm \sqrt{6}\\\\x \approx -4.45, 0.45[/tex]

Answer:

(1/3)π(5-1)^3

Step-by-step explanation:

The volume of the solid obtained by rotating the region bounded by the given curves about the specified line, y = 3, is

V = ∫5√(x-1) dx

V = ∫5(y-(-1)) dy

V = ∫5(y+1) dy

V = ∫5y dy + ∫5dy

V = ∫5y dy + 5

V = [y^2/2]5 + 5

V = [5^2/2] + 5

V = 5+5

V = 10

Answer:

69.06

Step-by-step:

1 ) Calculate the discount.

15% of 1250 is...

187.5

2 ) Subtract 187.5 from 1250...

1062.5

3 ) Calculate the sales tax.

6.5% of 1062.5 is...

69.06

4 ) Add 69.06 to 1062.5 to get the final answer...

$1131.56

Hope this helps! :)

Answer:

69.06

Step-by-step explanation:

15% of R1250

= R187, 5

R1250 - R187 ,5

= R1062,5

Samuel will need 208 ft² of pavers to cover his patio.

What is the area of the trapezoid?

The area of a trapezoid is equal to half the product of the height and the sum of the two bases, per the trapezoid area formula. The area is equal to 1/2 x (Sum of Parallel Sides) x (perpendicular distance between the parallel sides).

Samuel wants to cover a trapezoid-shaped patio

This means that,

To get the number of square feet of pavers he'll need, we need to get the area of his patio

The area of the trapezoid is calculated as follows:

[tex]Area = \frac{base_{1} + base_{2}}{2} * height[/tex]

We have,

base₁ = 14 ft

base₂ = 18 ft

height = 13 ft

substituting the given values to get the area:

[tex]Area = \frac{14 + 18}{2} * 13[/tex]

Area = 16 * 13

Area = 208 ft²

Hence, Samuel will need 208 ft² of pavers to cover his patio.

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The graph best represents f^-1(x) is Option A so A is correct.

Given function:

f(x) = [tex]5\sqrt{x+3} -2[/tex]

Inverse of f(x) is:

[tex]= 5\sqrt{y+3}-2=x= 5\sqrt{y+3}=x+2= \sqrt{y+3}=(x+2)/5= y+3=((x+2)^2)/25= y=((x+2)^2)/25-3= y=(x^2)/25+(4x)/25+4/25-3= y=(x^2)/25+(4x)/25-71/25[/tex]

f^-1(x) = 1/25([tex]x^{2} +4x-71[/tex]).

Using graphing calculator:

The inverse of f(x) represents the graph Option A so A is correct.

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There is a total of 720 students are in Ridgewood Junior High School.

5% of students brought their lunch.

36 students brought their lunch.

the percentage is the ratio of the composition of matter to the overall composition of matter multiplied by 100.

Let there be x students in the Ridgewood Junior High School.

5% of students brought their lunch and equal to 36

so 5% of x = 36

5/100 * x = 36

x = 36*100/5

x = 36*20

x = 720

There is a total of 720 students are in Ridgewood Junior High School.

Answer:

4.6

Step-by-step explanation:

we can use the Pythagorean theorem of

A^2 + B^2 = C^2

where A and B are the (lengths of) short sides of a right triangle and C is the (length of) long side.

Here, we have an unknown side, let's call it X, and we know that:

2^2 + X^2 = 5^2

So

4 + X^2 = 25

X^2 = 25 - 4 = 21

X^2 = 21

X = [tex]\sqrt{21}[/tex]

Let's find the root of 21 rounded to the nearest tenth (or you can probably use a calculator, the method I show below is mathematically proper but not part of the curriculum).

the root of 21 is bigger than the root of 16 but smaller than the root of 25. So the number we're looking for is between 4 and 5.

21 is pretty much in the middle, so let's start by checking if it's bigger than 4.5

4.5^2 = 20.25

So 4.5 is a bit too small

Let's check 4.6

4.6^2 = 21.16

So 4.6 is a bit too big.

So we know our number is between 4.5 and 4.6 now. To have a good rounding to the nearest tenth, we only need to find out if it's over or below 4.55 (as this gives us direct rounding to the nearest tenth).

4.55^2 = 20.7025

So X is bigger than 4.55 and smaller than 4.6, hence the answer rounded to the nearest tenth is 4.6

Answer:

Step-by-step explanation: Let x = 2, y = 5 and z=?

Here z is the unknown length.

here z is 4.6

Answer: if this is about life false, if this is about math, also false

Step-by-step explanation:

The value of h in the equation h = 6q - 2u , when q = 3 and u = -5 is h = 28 .

In the question ,

it is given that ,

the equation is h = 6q - 2u ,

we have to find the value of h , when q = 3 and u = -5 .

Substituting the value of q = 3 and u = -5 in the equation ,

we get,

h = 6q - 2u

h = 6(3) - 2(-5)      ....because 6(3) = 18   and -2(-5) = 10

h = 18 + 10

Simplifying the above equation further ,

we get ,

h = 28

Therefore , The value of h in the equation h = 6q - 2u , when q = 3 and u = -5 is h = 28 .

The given question is incomplete , the complete question is

Find the value of h in the equation h = 6q - 2u , when q = 3 and u = -5  ?

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Answer:

33.

Step-by-step explanation:

75%   x

100   44

x = (44 * 75 ) / 100 = 33.

The zeroes of the function will be negative 2 and 1.

It is a method for dividing a polynomial into pieces that will be multiplied together. At this moment, the polynomial's value will be zero.

Let a, b, c, and d are the zeroes of the polynomial.

Then the polynomial is given as,

⇒ (x - a)(x - b)(x - c)(x - d)

The degree of the polynomial will be greater than or equal to the number of zeroes.

The intersection of the curve with the x-axis will be (-2, 0), and (1, 0).

Thus, the zeroes of the function will be negative 2 and 1.

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Both the domain and range of the transformed function are the same as those of the parent function. So option A is correct.

What is domain and range ?

All the values that go into a function is called domain . The output values are called the range.

Main body:

We have,

The function f(x) = |x|  is reflected across y-axis, which gives |-x| = |x|

And then the function is translated to the left by 5 units.

So, the transformed function is translated to 5 units left.

Thus, from the graph below, we get, g(x) =|x+5|

domain of both functions is the set of all real numbers.

Range of both functions is the set = {y, y≥0}

Hence Both the domain and range of the transformed function are the same as those of the parent function.

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Answer: A on Edge 2023

Step-by-step explanation:

a) If we don't have enough info we can create bias in the results and that's not the idea. and since the experiment is conducted in public WIFI spot probably we have some information that will be not share with other and that probably will create bias in the results. b) And we can use the complement rule and we have:Step-by-step explanation:Previous conceptsThe binomial distribution is a "DISCRETE probability distribution that summarizes the probability that a value will take one of two independent values under a given set of parameters. The assumptions for the binomial distribution are that there is only one outcome for each trial, each trial has the same probability of success, and each trial is mutually exclusive, or independent of each other".Solution to the problemLet X the random variable of interest, on this case we now that:The probability mass function for the Binomial distribution is given as:Where (nCx) means combinatory and it's given by this formula:Part aIf we don't have enough info we can create bias in the results and that's not the idea. and since the experiment is conducted in public WIFI spot probably we have some information that will be not share with other and that probably will create bias in the results. Part bFor this case we want this probability:And we can use the complement rule and we have:

Answer:

x=3

Step-by-step explanation:

since f(X)=4 we just fill it in on the equation to find x

4=3x-5

+5.   +5

9=3x

/3. /3

3=x

Hopes this helps please mark brainliest

Answer:

[tex]\huge\boxed{\sf x = 3}[/tex]

Step-by-step explanation:

f(x) = 3x - 5

Given that, f(x) = 4

So, we can find x by inserting the value of f(x) in the above equation.

4 = 3x - 5

Add 5 to both sides

4 + 5 = 3x

9 = 3x

Divide 3 to both sides

3 = x

OR

[tex]\rule[225]{225}{2}[/tex]

The probability that Ahmad selects two blue marbles from the two jars is of:

10%.

The probability of an event in an experiment is calculated as the number of desired outcomes of the experiment divided by the number of total outcomes of the experiment.

Ahmad moves 2 blue marbles from one jar to another jar, hence the distribution of colors on each jar will be given as follows:

Hence the probability of selecting a blue marble from each jar will be given as follows:

Then the probability of both marbles being blue is of:

p = 3/13 x 7/17 = 0.1 = 10%. (rounded).

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Answer:

D

Step-by-step explanation:

The only point we see on the graph is (0, -4).

The only table that includes point (0, -4) is D

Using the given graph, the function table that is completed would be:

Input       Output            

-9              1

-5              1

-2              1

A function is graphed by plotting the input values on the x-axis against the output values on the y-axis. This means all input values are on the x-axis, and their corresponding output values are on the y-axis.

To find the output value when an input value is given as 4, we need to trace the output value that corresponds to x = 4 on the graph.

Using the graph in the diagram, we know the following:

When the input value is x = -9, the output value is y = 1.

When the input value is x = -5, the output value is y = 1.

When the input value is x = -2, the output value is also y = 1.

The complete function table would be:

Input       Output            

-9              1

-5              1

-2              1

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Using Pythagorean Theorem, value of x is 27.2.

The Pythagorean Theorem states that the squares on the hypotenuse (the side across from the right angle) of a right triangle, or, in standard algebraic notation, a² + b², are equal to the squares on the legs. To determine the undiscovered side of a right-angled triangle, utilise the Pythagoras theorem. The hypotenuse (third side) of a right-angled triangle, for instance, can be determined using the formula c² = a² + b², where 'c' stands for the hypotenuse and 'a' and 'b' are the two legs.

Given,

Right angled triangle

Base = 16

Height = 22

Using Pythagorean Theorem,

Hypotenuse = √Base² + height²

x = √16² + 22²

x = √256 + 484

x = √740

x = 27.2

Using Pythagorean Theorem, value of x is 27.2.

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Answer:

SAS is where two sides(S) of a triangle are equal and one angle(A) is equal

SSS is where all three sides(S) of a triangle are equal

1) The regression equation that predicts the dog's weight based on cups of food per day is of:

Weight = -29.7 + 22.93 x Consumption.

2) Each additional cup increases the estimated weight by 22.93 pounds.

To obtain the regression equation, also called line of best fit or least squares regression equation, we need to insert the points (x,y) in the calculator. These points are given on a table or in a scatter plot in the problem.

The input and the output in the context of this problem are given as follows:

The points are given on the spreadsheet, and inserting them into the calculator, the equation is given as follows:

Weight = -29.7 + 22.93 x Consumption.

Each additional cup increases the estimated weight by 22.93 pounds, because the slope of the linear function is of 22.93.

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The length of EP is 8 units, in the triangle.

What is are of the triangle?

The territory included by a triangle's sides is referred to as its area. Depending on the length of the sides and the internal angles, a triangle's area changes from one triangle to another. Square units like m2, cm2, and in2 are used to express the area of a triangle.

In geometry, a line segment bisecting one side of a triangle by connecting one of its vertices to the opposing side's midpoint is referred to as the triangle's median. Every triangle has exactly three medians, one from each vertices. The centroid of the triangle is where these medians cross.

Given in the diagram in PU = 4units.

We know that PU is 1/3rd of the side EU

So the length of EP = 2* PU = 2*4 = 8unit.

Hence the length of EP is 8unit.

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Answer: hm

Step-by-step explanation: yes.

[tex]{ \green{ \boxed{ \purple{ \sf{(1 - {x}^{2}) \frac{ {d}^{2}y }{d {x}^{2} } - x \frac{dy}{dx} = 0}}}}}[/tex]

Step-by-step explanation:

Given,

[tex]{ \blue{ \sf{y = { \sin}^{ - 1}x}}}[/tex]

differentiate with respect to x

[tex]{ \purple{ \sf{ \frac{dy}{dx} = \frac{1}{ \sqrt{1 - {x}^{2} } } }}}[/tex]

[tex]{ \purple{ \sf{ \sqrt{1 - {x}^{2} } \frac{dy}{dx} = 1}}} \: { \to} \: { \tt{ {eq}^{n} (1)}}[/tex]

This is in the form of uv method

uv = uv' + vu' = 0

[tex]{ \tt{ \sqrt{1 - {x}^{2} } = u}}[/tex]

[tex]{ \tt{ \frac{dy}{dx} = v}}[/tex]

u' = differentiation of u

v' = differentiation of v

Apply uv method to Eqⁿ (1) then,

[tex]{ \purple{ \sf{ \sqrt{1 - {x}^{2} } = \frac{ {d}^{2} y}{d {x}^{2} } + \frac{dy}{dx} \frac{1}{ \cancel2 \sqrt{1 - {x}^{2} } } (0 { \cancel{- 2}}x) = 0}}}[/tex]

Multiply by [tex]{ \red{ \sf{ \sqrt{1 - {x}^{2}}}}} [/tex] then,

[tex]{ \boxed{ \purple{ \sf{(1 - {x}^{2}) \frac{ {d}^{2}y }{d {x}^{2} } - x \frac{dy}{dx} = 0}}}}[/tex]

The mean of the sample is 7 when the sample is number 7,5,9,6,8,7.

Given that,

The numbers are 7,5,9,6,8,7.

We have to find the mean of the numbers.

The mean, or average of the given numbers, is calculated by dividing the sum of the numbers by the total number of numbers. Mean is equal to (Sum of All Observations/Total Observations).

In mathematics and statistics, the concept of mean is crucial. The most typical or average value among a group of numbers is called the mean.

The mean is

(7+5+9+6+8+7)/6

42/6

7

Therefore, The mean of the sample is 7 when the sample is number 7,5,9,6,8,7.

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