The end of a hose was resting on the ground, pointing up an angle. Sal measured the path of the water coming out of the hose and found that it could be modeled using the equation f(x) = â€"0. 3x2 2x, where f(x) is the height of the path of the water above the ground, in feet, and x is the horizontal distance of the path of the water from the end of the hose, in feet. When the water was 4 feet from the end of the hose, what was its height above the ground? 3. 2 feet 4. 8 feet 5. 6 feet 6. 8 feet.

Answer:

\( \boxed{\sf (c) \ 9a - 8 {a}^{2}} \)

Step-by-step explanation:

\( \sf Simplify \: the \: following: \\ \sf \implies 3a - 2a \times 4a + 6a \\ \\ \sf - 2a \times 4a = - 2 {a}^{2} \times 4 : \\ \sf \implies \boxed{ \sf - 2 {a}^{2} \times 4} + 3a + 6a \\ \\ \sf - 2 \times 4 = - 8 : \\ \sf \implies \boxed{ \sf- 8} {a}^{2} + 3a + 6a \\ \\ \sf 3a + 6a = 9a : \\ \sf \implies 9a - 8 {a}^{2} \)

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

The final expression of the expression 3a - (2a x 4a) + 6a is

9a - 8a².
Option C is the correct answer.

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

Example:

2 + 3x + 4y = 7 is an expression.

3x + 5 + 3 is an expression.

4x = 6 is an expression.

We have,

3a - (2a x 4a) + 6a

3a - 8a² + 6a

Combine like terms.

9a - 8a²

We can also write,

-8a² + 9a

There is no common factor or like terms to simplify further.

So,

9a - 8a²

Thus,

The final expression of the expression 3a - (2a x 4a) + 6a is

9a - 8a².
Option C is the correct answer.

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The surface area of the triangular prism is 105 square inches.

To find the surface area of the triangular prism using its net, we need to find the areas of all its faces and then add them up.

Looking at the net, we can see that the triangular prism has two congruent triangular bases and three rectangular faces.

Let's start by finding the area of one of the triangular bases.

The base of the triangle is 7 inches and the height is 6 inches, so the area is:

(1/2) x 7 x 6 = 21 square inches

Since there are two congruent bases, the total area of the triangular bases is:

2 x 21 = 42 square inches

Now, let's find the area of one of the rectangular faces.

The length of the rectangle is 7 inches and the width is 3 inches, so the area is:

7 x 3 = 21 square inches

Since there are three rectangular faces, the total area of the rectangular faces is:

3 x 21 = 63 square inches

Finally, we add the areas of the triangular bases and rectangular faces to get the total surface area of the prism:

42 + 63 = 105 square inches

Therefore, the surface area of the triangular prism is 105 square inches.

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The median of the following set of numbers  (18, 26, 29, 18, 44) is 26. The correct option to this question is option A

To find median of the following sequence (18, 26, 29, 18, 44) we will arrange them in ascending order

                            18 , 18 , 26 , 29 , 44   . . . . . .  . . . .(1)

Since the number of terms is odd we will apply the formula

                     Median  = \(\frac{(n+1)}{2} th\) term . . . . . . .(2)

       Here n = number of terms

As per question the n = 5

Therefore putting in equation 2 we get

                      Median = \(\frac{(5+1)}{2} th\) term

                      Median = \(\frac{6}{2} th \\\)  term

                      Median = 3 term

Hence the third term from the sequence ( shown in 1 ) we get the median that is 26

Hence the median of the following set of numbers (18, 26, 29, 18, 44) is 26 .

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The median is:

26

Explanation:

First, we will arrange the numbers from least to greatest.

18, 26, 29, 18, 44

Rearrange

18, 18, 26, 29, 44.

Now, the median is the number in the middle, which is 26.

a) ∀x ∃y(x + y = y) Translation: "For every real number x, there exists a real number y such that when x is added to y, the result is equal to y."

b) ∀x ∀y(((x ≥ 0) ∧ (y < 0)) → (x - y > 0)) Translation: "For every pair of real numbers x and y, if x is greater than or equal to 0 and y is less than 0, then the difference between x and y is greater than 0."

c) ∃x ∃y(((x ≤ 0) ∧ (y ≤ 0)) ∧ (x - y > 0)) Translation: "There exist real numbers x and y such that x is less than or equal to 0, y is less than or equal to 0, and the difference between x and y is greater than 0."

d) ∀x ∀y((x ≠ 0) ∧ (y ≠ 0) → (xy ≠ 0)) Translation: "For all real numbers x and y, if x is not equal to 0 and y is not equal to 0, then the product of x and y is not equal to 0."

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Answer:

- 7y - 19

Step-by-step explanation:

\(4(2y – 7) – 3(5y – 3) \\ \\ 8y - 28 - 15y + 9 \\ \\ = 8y - 15y - 28 + 9 \\ \\ = - 7y - 19\)

Answer:

-7-19

Step-by-step explanation:

The answer is 4) for some c, such that a < c < b, the derivative g'(c) =0. While it is possible.

Is g'(c)=0 necessary between a and b?

4) for some c, such that a < c < b, the derivative g'(c) is equal to zero.

The statement "g hasa minimum value on [a, b]" is true by the extreme value theorem, which states that a continuous function on a closed interval must have both a maximum and minimum value.

Similarly, the statement "g has a maximum value on [a,b]" is also true by the same theorem.

The statement "g(c) = 0 for some c, such that a < c < b" is also true by the intermediate value theorem for continuous functions, which states that if g(a) and g(b) have opposite signs, then there exists a value c between a and b such that g(c) = 0.

Therefore, the only statement that is not necessarily true is "for some c, such that a < c < b, g'(c) = 0." While it is possible for g'(c) to equal zero at some point between a and b, it is not a necessary condition for the given conditions in the question.

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Construct a random variable Y from a uniform (0,1) random variable X to achieve a specific CDF.

The exact form of the inverse CDF and the resulting random variable Y will depend on the specific desired CDF F(y). By using the inverse CDF method, we can transform the uniform random variable into a new random variable with the desired distribution.

To construct a random variable Y from a uniform (0,1) random variable X, such that Y has a specific cumulative distribution function (CDF), we can use the inverse CDF method. The inverse CDF method involves finding the inverse of the desired CDF and applying it to the uniform random variable X.

In this case, let F(y) be the desired CDF. To construct Y with CDF F(y), we take Y = F^(-1)(X), where F^(-1) denotes the inverse of the CDF F.

By taking the inverse of the desired CDF F(y) and applying it to the uniform random variable X, we obtain the random variable Y that has the desired CDF.

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23

Explanation

Complementary angles are pair angles with the sum of 90 degrees, so we can say that

are complementary angles, therefore

Step 1

so,we need to equals to 90 and solve for x

so, the answer is

23

I hope this helps you

Answer:

22.7

Step-by-step explanation:

6.83 x 10¹ is 68.3, 9.1 x 10¹ is 91, 68.3 - 91 is 22.7

Answer:

6739/100

Step-by-step explanation:

heres how i got that answer

first step

any expression raised to the power of 1 equals its self. remove unnecessary parentheses

(6.83 x 10) - 9.1 x 10^-1

second step

6.83 x 10 = 68.3 then make the other decimal into a fraction so 91 over 10 or 91/10 any expression raised to the power of - 1 equals its reciprocal so now you have

68.3 - 91/10 x 1/10

third step

convert the decimal into a fraction 683/10

then multiple 91/10 and 1/10 to get 91/100

so now you should have 683/10 - 91/100

last step

subtract the fractions giving you

6739 over 100

Answer:

No.

Step-by-step explanation:

An input can't have 2 outputs. But, an output can have an 2 inputs.

Hope this helped!

log(x) - log(6) = 2 log(4)

Condense the left side, using the property log(a) - log(b) = log(a/b) (if b ≠ 0):

log(x / 6) = 2 log(4)

Rewrite the right side, using the property n log(a) = log(aⁿ ):

log(x / 6) = log(4²)

log(x / 6) = log(16)

Cancel the logarithms (i.e. take the exponential of both sides):

exp(log(x / 6)) = exp(log(16))

x / 6 = 16

Solve for x :

x = 6 × 16

x = 96

The required number would be -23 for the given statement.

A number system is defined as a way to represent numbers on the number line using a set of symbols and approaches. These symbols, which are known as digits, are numbered 0 through 9.

Let the required number would be x.

As per the question, we can write the algebraic form would be as:

-7(x + 7) = 16

Using the distributive property,

-7x - 49 = 16

-7x = 16 + 49

-7x = 65

x = -65/7

x = -23

Thus, the required number would be -23.

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The question seems incomplete, the complete question would be as:

The product of a number and -7 increased by 9, is at most 16. Find the number.

(A) A person's chance of experiencing neither symptom is 30%. (b) Seventy percent of people are likely to experience at least one symptom. (c) If a person has symptom B, there is a 25% chance that they will also have both symptoms.

(A) The individual exhibits neither symptom:

Let's write P(A) for the likelihood of having symptom A and P(B) for the likelihood of having symptom B. Given that 20% of people only have symptom A, 40% only have symptom B, and 10% only have both symptoms, the likelihood of having neither symptom can be determined as follows:

100% - P(A) - P(B) - P(both symptoms) - P(neither symptom)

P(none of the symptoms) = 100% – 20% – 40% – 10% = 30%

As a result, there is a 30% chance that a randomly selected person will exhibit neither symptom.

(b) At least one symptom is present in the person.

We can use the complement rule to calculate the likelihood that at least one symptom will be present. Neither symptom is the opposite of having at least one symptom. Because of this, P(at least one symptom) = 1 - P(neither symptom), and P(at least one symptom) = 1 - 0.30 = 0.70.

Therefore, there is a 70% chance that a randomly selected individual has at least one symptom.

(c) The person has both symptoms, given that they have symptom B:

To calculate this conditional probability, we use the formula:

P(both symptoms | symptom B) is equal to the product of P(both symptoms and symptom B) / P(symptom B).

We are informed that 40% of people only have symptom B whereas 10% have both symptoms. P(both symptoms | symptom B) = (10% / 40%) = 0.25 as a result.

Given that they have symptom B, a randomly selected person has a 25% chance of having both symptoms.

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Answer:

y = (1/3)x - 9

Step-by-step explanation:

We know that m = 1/3

The function will be in the form:

y = (1/3)x + b

Let's find b by plugging in the coordinates of the point, in the function:

-7 = (1/3)*6 + b

b = -9

Therefore:

y = (1/6)x - 9

Answer:

\(y + 7 = \frac{1}{3} (x - 6)\)

Step-by-step explanation:

using equation y=mx+c where y is -7, x is 6 and m is 1/3

equate them in the equation to work out c

\(y = mx + c\)

\(- 7 = \frac{1}{3} (6) + c\)

1/3 × 6 is 2

\(- 7 = 2 + c\)

subtract 2 on both sides to find c

\(- 7 - 2 = c\)

\(c = - 9\)

The equation is

\(y = \frac{1}{3} x - 9\)

based out of the following options you have:

i would expand each equation you have and equate it in y=mx+c to see where you have the same equation as above.

It looks like the third option is correct:

writing out the third option

\(y + 7 = \frac{1}{3} (x - 6)\)

expanding the right side my multiplying. 1/3 × x is 1/3x. 1/3 × -6 is -2

\(y + 7 = \frac{1}{3} x - 2\)

subtract 7 on both sides so you have y on its own

\(y = \frac{1}{3} x - 2 - 7\)

\(y = \frac{1}{3} x - 9\)

so the third option is the same equation as y=1/3x - 9

answer:

\(y + 7 = \frac{1}{3} (x - 6)\)

When the value of n nickles plus d dimes is c cents, n in terms of d and c will be n = c - d.

It should be noted that an expression is simply used to show the relationship that can be illustrated based on the data.

In this case, we want to calculate the value of n nickles plus d dimes is c cents, what is n in terms of d and c.

This will be:

c = n + d

Therefore, to get n will be calculated thus:

Subtract d from both sides.

c - d = n + d - d

n = c - d

Therefore, when the value of n nickles plus d dimes is c cents, n in terms of d and c will be n = c - d.

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Answer:

12.25

Step-by-step explanation:

73.50 divided by 6 for each shirt is 12.25 a shirt

Answer:

There are 3 of them

Step-by-step explanation:

Answer:

it's in the hundredths and tens and thousandths and it's a 9 aka an upsidedown 6

Step-by-step explanation:

Answer:

If i am correct the area should 337inches..........

Step-by-step explanation:

my reason is becuase if you multiply these numbers

13* 6 = 78       and   8 * 8 = 64     and   10 * 17 + 170   and  last 5 * 5 = 25

they you add    170+ 78 + 64 + 25 =  337inches          so means the answer is 337 Your Welcome :D

Answer:

-5

Step-by-step explanation:

The angle sum of a triangle will always 180 degree.

6X degree + 2X degree + X degree = 180 degree

9X degree =  180 degree

X = 180/9 = 20 degree.

X = 20 degree.

While the exterior angles of a triangle are equal to the sum of the two interior angles that are not adjacent to it, the interior angles of a triangle always add up to 180°. By deducting the angle of the target vertex from 180°, one can also determine a triangle's exterior angle.

The three angles that make up a triangle's interior are referred to as its interior angles. The total of these three angles is always 180 degrees.

180° is equal to 6X degrees plus 2X degrees plus X degrees.

90 degrees multiplied by 9

X=180/9=20 degrees.

20 degrees for X

A triangle's three inside angles will always add up to 180 degrees. Since the other two angles (180°+0°+0°) would not exist, a triangle cannot have a single angle of 180°.

Triangles fall into one of three categories based on the lengths of their sides: scalene, isosceles, or equilateral. Equilateral.

Three straight sides and three angles make up the two-dimensional shape of a triangle. Three sides, three vertices, and three angles make up a triangle.

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A certain triangle has interior angle measures of (6x°), (2x°), and x°. The value of x is 20 degrees.

The three angles that make up a triangle's interior are referred to as its interior angles. The total of these three angles is always 180 degrees.

180° is equal to 6X degrees plus 2X degrees plus X degrees.

90 degrees multiplied by 9

X=180/9=20 degrees.

20 degrees for X

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Step-by-step explanation:

is this -4/-16 ?

the correct answer is 1/4.

I guess this would be B, but I am not sure, because there is missing information and typos everywhere.

The two numbers will be such that their sum is 20 and the product is 64 are 16 and 4.

Determine the known quantities and designate the unknown quantity as a variable while trying to set up or construct a linear equation to fit a real-world application.

In other words, an equation is a set of variables that are constrained through a situation or case.

Let's say two numbers are x and y

Then,

Sum x + y = 20

Product xy = 64

Now, by substituting y = 20 - x into the second equation

x(20 - x ) = 64

20x - x² = 64

x² - 20x + 64 = 0

x² - 16x - 4x + 64 = 0

x(x-16) -4 (x - 16) = 0

(x - 4)(x - 16) = 0  

x = 4 , 16

Hence "The two numbers will be such that their sum is 20 and the product is 64 are 16 and 4".

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Note:

Ortho centre :a point of intersection of altitudes of a triangle meets the opposite angle.

Given:

For Orthocentre:.

A(1, 2), B(2, 6), C(3,-4). are vertices of a triangle:

Slope of AB[m1]=\( \frac{6-2}{2-1} \)=4

Since it is perpendicular to CX.

slope of CX=m2

we have for slope of perpendicular

m1m2=-1

m2=-¼

It passes through the point C(3,-4)

equation of line CX becomes;

(y-y1)=m(x-x1)

y+4=-¼(x-3)

4y+16=-x+3

x+4y+16-3=0

x+4y+13=0........[1]

again:

Slope of AC[m1]=\( \frac{-4-2}{3-1} \)=-3

Since it is perpendicular to BY

slope of BY=m2

we have for slope of perpendicular

m1m2=-1

m2=⅓

It passes through the point B(2,6)

equation of line BY becomes;

(y-y1)=m(x-x1)

y-6=⅓(x-2)

3y-18=x-2

x-3y+18-2=0

x-3y+16=0.........[2]

Subtracting equation 1&2.

x+4y+13=0

x-3y+16=0

-__________

7y-3=0

y=\( \frac{3}{7} \)

again

Substituting value of y in equation 1.

x+4*\( \frac{3}{7} \)+13=0

x=-13-\( \frac{12}{7} \)

x=\( \frac{-103}{7} \)=-14\( \frac{5}{7} \)

So

orthocenter is (-14\( \frac{5}{7} \),\( \frac{3}{7}\))

Circumcentre: a point of intersection of perpendicular bisector of the triangle.

Now

X,Y and Z are the midpoint of AB,AC and BC respectively.

X(a,b)=(\( \frac{2+1}{2} \),\( \frac{2+6}{2} \))=

(\( \frac{3}{2} \),4)

Slope of AB=4

Slope of OX=-¼

Equation of line OX passes through (\( \frac{3}{2} \),4)is

y-4=-¼(x-\( \frac{3}{2} \))

4y-16=-x+\( \frac{3}{2} \)

8y-16*2=-2x+3

2x+8y=3+32

2x+8y=35

x+4y=\( \frac{35}{2} \)........[1]

again

Y(c,d)=(\( \frac{3+1}{2} \),\( \frac{-4+2}{2} \)=(2,-1)

Slope of AC:-3

Slope of OY=⅓

Equation of line OY passes through (2,-1) is

y+1=⅓(x-2)

3y+3=x-2

x-3y=3+2

x-3y=5......[2]

Multiplying equation 2 by 3 and

Subtracting equation 1&2.

x+4y=35/2

x-3y=5

-_______

7y=\( \frac{25}{2} \)

y=\( \frac{25}{14} \)

Substituting value of y in equation 2.

x-3*\( \frac{25}{14} \)=5

x=5+\( \frac{75}{14} \)

x=\( \frac{145}{14} \)

x=10\( \frac{5}{14} \)

circumcenter of a triangle: (10\( \frac{5}{14} \),1\( \frac{11}{14} \))

Answer:

120

Step-by-step explanation:

The options are:

flake view, screened-in balcony, upgraded landscaping, pool - 5 in total

Using the fundamental counting principle formula - n! where n is the number of elements = 5, we have

n! =5! = 5x 4 x 3 x 2 x 1 = 120.

There are 120 120 options for purchasing a house in the community.

All correct proportions include the following:

A. \(\frac{AC}{CE} =\frac{BD}{DF}\)

D. \(\frac{CE}{DF} =\frac{AE}{BF}\)

In Mathematics and Geometry, two geometric figures are said to be similar when the ratio of their corresponding side lengths are equal and their corresponding angles are congruent.

Hence, the lengths of the pairs of corresponding sides or corresponding side lengths are proportional to one another when two (2) geometric figures are similar.

Since line segment AB is parallel to line segment CD and parallel to line segment EF, we can logically deduce that they are congruent because they can undergo rigid motions. Therefore, we have the following proportional side lengths;

\(\frac{AC}{CE} =\frac{BD}{DF}\)

\(\frac{CE}{DF} =\frac{AE}{BF}\)

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Answer:

Step-by-step explanation: