round 29.75 to the nearest cent
​

Answer:

52

Step-by-step explanation:

10(5) + (4)2/4

50 + 8/4

50 + 2

Special right triangles are :

Triangles,Rhombus,Rectangle,Square,Quadrilateral,Trapezoid,

Parallelogram

Rhombus: A rhombus can be thought of as two congruent special right triangles joined together along their hypotenuses. Each triangle has two sides of equal length and opposite angles that are congruent. When these triangles are joined, we get a quadrilateral with all sides equal in length and opposite angles congruent.

Rectangle: A rectangle can be divided into two congruent special right triangles by drawing a diagonal. Each triangle has a right angle and two sides of different lengths. When these triangles are joined, we get a quadrilateral with four right angles and opposite sides equal in length.

Square: A square is a special case of a rectangle where all sides are equal in length. Thus, it can also be divided into two congruent special right triangles with right angles and sides of different lengths.

Quadrilateral: The term "quadrilateral" is a general term for a polygon with four sides. It doesn't specify any particular angles or side lengths.

Trapezoid: A trapezoid can be thought of as a quadrilateral with one pair of parallel sides. It doesn't necessarily have any special right triangles within it, as the lengths of the sides and angles can vary.

Parallelogram: A parallelogram can also be divided into two congruent special right triangles by drawing a diagonal. Each triangle has a right angle and two sides of different lengths. When these triangles are joined, we get a quadrilateral with opposite sides parallel and equal in length.

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The answer to the given question is -4/3 or 1/2

The product of 6 and the square of a number is increased by 5 times the number, the result is 4.

Firstly, let's write the algebraic expression for the above statement and represent the number as x.

The algebraic expression can be written as:

(6 x x²) + 5x = 4

6x² + 5x = 4

The other expression can also be written as:

6x² + 5x - 4 = 0

Secondly, we must factorize the algebraic expression to solve for x.

6x² - 3x + 8x - 4 = 0

3x (2x - 1) + 4 (2x + 1) = 0

(3x + 4)(2x - 1) = 0

Thirdly, we need to solve for x.

3x + 4 = 0

3x = -4

Now, we need to divide both sides by 3.

3x/3 = -4/3

x = -4/3

or

2x - 1 = 0

2x = 1

Now, we need to divide both sides by 2.

2x/2 = 1/2

x = 1/2

Hence, the values that the number could be is -4/3 or 1/2.

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Parent function is represented by the graph is

B. The quadratic parent function

What is Parent function?

A parent function in mathematics is the most basic function within a family of functions that nonetheless upholds the definition of the entire family. For instance, displaystyle y=x2 is the simplest function in the family of quadratic functions with the general form displaystyle y=ax2+bx+c.

A parent function is an equation in the simplest form of a family of functions. There are many forms of parent functions such as: Linear functions: f(x)=x f ( x ) = x , where the degree of the function is 1 and represents a straight line.

The simplest parabola is y = x2, whose graph is shown at the right. The graph passes through the origin (0,0), and is contained in Quadrants I and II. This graph is known as the "Parent Function" for parabolas, or quadratic functions.

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Answer:   1/2 |x| = -3?

Step-by-step explanation:

Answer:

y= x+3

Step-by-step explanation:

The equation of a line in slope form is given as :

y= mx + c ---------where m is the gradient and c is the y-intercept

Finding the slope ,

m = Δy/Δx

m= 5-3 / 2-0

m= 2/ 2

m= 1

Taking m=1, point {2,5} , an imaginary point {x,y}

1 = y-5 / x-2

1 {x-2} = y-5

x-2 = y-5

x= y-5+2

x= y-3

x+3 =y

y= x+3 -----the equation of the line in slope- intercept form

Step-by-step explanation:

x = eggs of Ayyub

y = eggs of Bran

z = eggs of Curtis

x + y + z = 48

y = x + 1

z = 1.5y = 1.5(x + 1)

now we are using the second and third equation in the first :

x + (x + 1) + 1.5(x + 1) = 48

x + x + 1 + 1.5x + 1.5 = 48

3.5x + 2.5 = 48

3.5x = 45.5

x = 45.5/3.5 = 13

y = x + 1 = 13 + 1 = 14

z = 1.5(x + 1) = 1.5(13 + 1) = 1.5×14 = 21

for all three friends to have the same number of eggs, we need to split 48 into 3 equal parts : a division.

48/3 = 16

so, everybody should end up with 16 eggs.

therefore Curtis gives away 21-16 = 5 eggs in total (3 to Ayyub, 2 to Bran).

1.The dog's name is happy

2. The name of the owner of the bird is Jack

3. The animal named sleepy is the bird

4. the name of Leo's pet is goofy

5.The name of the dog is happy

(1) what's the dogs name?

Even though kirk named his pet happy, he did not want a pet that barks.

The pet that barks is dog

(2) what boy has the bird?

The first answer eliminates Kirk. Answer to question 4 eliminates Leo. The last option remains the correct choice which is Jack

(3)What animal is sleepy

The boy who has the bird did not call it sleepy - gives the clue that the name of the bird is sleepy however the owner so not call it sleepy

(4)What's the name of Leo's pet?

goofy who is not a bird loves his owner whose name does NOT have 4 letters in it. - other names are 4 lettered except Leo and this is the clue to conclude

(5) What's the dogs name?

The first explanation serves for this

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Answer:

y = 1, 1.319, 1.024, 0

Step-by-step explanation:

Given equation:

\(y=(1+x)\cos x\)

\(\textsf{when}\:x=0:\)

\(\begin{aligned} \implies y & =(1+0)\cos 0\\\implies y & = 1\end{aligned}\)

\(\textsf{when}\:x=\dfrac{\pi}{6}:\)

\(\begin{aligned} \implies y & =\left(1+\frac{\pi}{6}\right)\cos \left(\frac{\pi}{6}\right)\\\implies y & = 1.319\: \sf (3\:dp)\end{aligned}\)

\(\textsf{when}\:x=\dfrac{\pi}{3}:\)

\(\begin{aligned} \implies y & =\left(1+\frac{\pi}{3}\right)\cos \left(\frac{\pi}{3}\right)\\\implies y & = 1.024\: \sf (3\:dp)\end{aligned}\)

\(\textsf{when}\:x=\dfrac{\pi}{2}:\)

\(\begin{aligned} \implies y & =\left(1+\frac{\pi}{2}\right)\cos \left(\frac{\pi}{2}\right)\\\implies y & = 0\end{aligned}\)

Answer:

12 edges, 6 faces, and 7 vertices.

▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬

I say 12 edges because there are 12 meeting points, and an open shape.

6 faces because there are 6 highlighted points on what looks like an unfolded shape.

8 vertices because you add 2 to the number of edges and subtract by the number of faces, 6.

Based on the given equation y = X + 3, the solution is X = y - 3.

First, we use the property of equality, which allows us to perform the same operation on both sides of the equation to solve for X.

Here we subtract 3 from both sides of the equation as follows:

Y-3 = X + 3-3

Then we simplify the right-hand side:

Y-3 = X

So X = Y - 3

Therefore the equation y = X + 3 is X = Y - 3.

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Using the similarity of triangles, it exists seen that the true equation exists given by:

A) a/b = c/d

Two triangles exist similar when they have the same angles. Then, the measurements of the sides adjacent to similar angles exist proportional.

In this problem, about the location of the right angle of the triangle, we have that:

a/c = b/d

a/b = c/d

Therefore, the correct answer is option A) a/b = c/d.

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The boolean functions implemented at the outputs f and g are XOR and AND. If a and b are interpreted as two-bit binary words, then the output g can be interpreted as the bitwise AND operation between the two words, i.e. g=a(1)b(1)a(0)b(0).

Boolean functions are mathematical functions that map an input to a binary output. In this way, they can be used to represent logical statements.

Boolean functions are typically used in computer programming and mathematics to represent logical operations such as AND, OR, and NOT. Boolean functions are also used in digital logic designs and in the design of digital circuits.

XOR (Exclusive OR) and AND are two logical operations that are used to compare two bits of data. XOR returns a true result if one, but not both, of the bits is true. AND returns a true result if both of the bits are true.

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Answer:

y = 4x-9

Step-by-step explanation:

16x-4y-36 = 0

-4y = -16x+36(subtract 16x from both sides and add 36)\

y = 4x-9(divide both sides by -4)

a. The set of points on E(F7) is:

{(0, 1), (0, 6), (1, 0), (1, 6), (2, 0), (2, 1), (3, 2), (3, 5), (4, 3), (4, 4), (5, 2), (5, 5), (6, 0), (6, 1)}

b. The set of points on E(F11) is:

{(0, 4), (0, 7), (1, 5), (1, 6), (2, 0), (3, 2), (3, 9), (4, 2), (4, 9), (5, 3), (5, 8), (6, 2), (6, 9), (7, 0), (8, 1), (8, 10), (9, 4), (9, 7), (10, 6)}.

a)\(E: Y^2 = X^3 + 3X + 2 over F7:\)

To find the set of points on this elliptic curve over F7, we can substitute each value of x from 0 to 6 into the equation and check whether there exists a corresponding y that satisfies the equation.

The set of points on E(F7) is:

{(0, 1), (0, 6), (1, 0), (1, 6), (2, 0), (2, 1), (3, 2), (3, 5), (4, 3), (4, 4), (5, 2), (5, 5), (6, 0), (6, 1)}

(b)\(E: Y^2 = X^3 + 2X + 7 over F11:\)

To find the set of points on this elliptic curve over F11, we can similarly substitute each value of x from 0 to 10 into the equation and check whether there exists a corresponding y that satisfies the equation.

The set of points on E(F11) is:

{(0, 4), (0, 7), (1, 5), (1, 6), (2, 0), (3, 2), (3, 9), (4, 2), (4, 9), (5, 3), (5, 8), (6, 2), (6, 9), (7, 0), (8, 1), (8, 10), (9, 4), (9, 7), (10, 6)}.

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The "hypothesis of no change," "status quo," and "conventional wisdom" are all alternative names for the null hypothesis. Unless there is overwhelming evidence to the contrary, the null hypothesis is assumed to be correct.

H0: u = 1: u ≠ 1,400

When testing hypotheses with the P value, the null hypothesis is rejected if?

The evidence against the null hypothesis is stronger when the p-value is smaller (closer to 0).If the p-esteem is not exactly or equivalent to the predetermined importance level α, the invalid speculation is dismissed;The null hypothesis is not rejected otherwise.

A statement of expectation or prediction that will be tested by research is called a research hypothesis. Read up on the subject that interests you before coming up with your research hypothesis.

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Answer: -6x^2-xy+15y^2

Step-by-step explanation:

The value of B-A is -6x²-xy+15y² .

A statement where the algebraic expressions are equated with an equal sign with each other is called an Equation.

It is given that

A = 5x²+3xy-7y²

B = -x²+2xy+8y²

To calculate is B - A

B- A = ²   (-x²+2xy+8y²) - (5x²+3xy-7y² )

B-A = -x²+2xy+8y² - 5x²- 3xy +7y²

B-A = -6x²-xy+15y²

Therefore the value of B-A is -6x²-xy+15y² .

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The total percentage of capital contributed by Jacklyn is 30%

The total capital contributed by Sandra, Jaclyn, and Alecia is:

$400 + $600 + $1000 = $2000

To find the percentage of capital contributed by Jacklyn contributed,

Percentage contributed by Jaclyn = (Jaclyn's contribution / Total capital) x 100

= ($600 / $2000) x 100

= 30%

Therefore, Jacklyn contributed 30% of the capital.

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Answer:

BA=BC

Step-by-step explanation:

Answer:

see explanation

Step-by-step explanation:

The sum of the interior angles of a polygon is

sum = 180° (n - 2) ← n is the number of sides

here n = 6 ( sides of a hexagon ) , then

sum = 180° × 4 = 720°

(a)

let x be the sixth interior angle , then

90° + 100° + 110° + 120° + 130° + x = 720 , that is

550° + x = 720° ( subtract 550° from both sides )

x = 170°

(b)

the sum of the exterior angles of a polygon is 360°

exterior angle + interior angle = 180°

exterior angle = 180° - interior angle

Then

180° - 90° = 90°

180° - 100° = 80°

180° - 110° = 70°

180° - 120° = 60°

180° - 130° = 50°

180° - 170° = 10°

sum = 90° + 80° + 70° + 60° + 50° + 10° = 360° ← correct total

Answer:

8.5°

Step-by-step explanation:

25 + (-8)

=25 - 8

=17 ÷ 2

= 8.5°

Answer:

Step-by-step explanation:

Answer:

x= 3/4 or 0.75

Step-by-step explanation:

multiply by 7

-7x+3= 14x-25

3=21x-25

28=21x

x=3/4

Answer:

x=4/3

Step-by-step explanation:

Step 1: Simplify both sides of the equation.

−x+3/7=2x+−25/7

Step 2: Subtract 2x from both sides.

−x+3/7−2x=2x+−25/7−2x

−3x+3/7=−25/7

Step 3: Subtract 3/7 from both sides.

−3x+3/7−3/7=−25/7−3/7

−3x=−4

Step 4: Divide both sides by -3.

−3x/−3=−4/−3

x=4/3

Answer:

\(No.\ of\ Math\ Problems=26\\\ No.\ of\ Science\ Problems=16\)

Step-by-step explanation:

\(In\ order\ to\ construct\ equations,\ we\ need\ to\ set\ variables.\\Hence,\\Let\ the\ no.\ of\ Math\ problems\ be\ x\\Let\ the\ no.\ of\ Science\ problems\ be\ y\\We\ are\ given\ that,\\No.\ of\ Math\ problems\ +No.\ of\ Science\ problems\ =42\\Hence,\\x+y=42\\We\ are\ also\ given,\\No.\ of\ Math\ problems\ =No.\ of\ Science\ problems\ +10\\Hence,\\x=y+10\\By\ transposing\ y\ to\ the\ LHS,\\x-y=10\\Now\ by\ gathering\ up\ our\ equations\ we\ can\ finally\ construct\ a\ system.\\Hence,\\\)

\(x+y=42\\x-y=10\\By\ simply\ adding\ the\ equations\ we\ get,\\(x+y)+(x-y)=42+10\\2x=52\\x=26\\Hence,\\Substituting\ x=26\ in\ Equation\ 1,\\26+y=42\\y=42-26\\y=16\)

\(Ultimately,\\No.\ of\ Math\ Problems=x=26\\\ No.\ of\ Science\ Problems=y=16\)

Answer:

r = -5

Step-by-step explanation:

Slope = (y2 - y1)/(x2 - x1)

(-1, r)

(2, 1)

r - 1/-1 - 2 = r - 1/-3

Slope = 2

-3 x 2 = -6

-6 -(-1) = -5

-5 - 1 = -6

-6/-3 = 2

So:

r = -5

Hope this helps!

9514 1404 393

Answer:

  r = -5

Step-by-step explanation:

The x-coordinate of the partially-defined point is 3 units less than the x-coordinate of the given point. The slope of 2 tells you the y-coordinate of the partial point (r) will be 2·3 = 6 units less than the y-coordinate of the given point. That is ...

  r = 1 - 2·3

  r = -5

__

You are given the slope of the line and a point on it, so you can write the point-slope equation of the line:

  y -y1 = m(x -x1) . . . . . . . line with slope m through point (x1, y1).

For the given point and slope, this is ...

  y -1 = 2(x -2)

For an x-value of -1, the corresponding y-value will be ...

  r = 2(-1-2) +1 = -6 +1

  r = -5

Answer: D

Step-by-step explanation: Hope it helps :)

Answer: XD    its d

i think but yea

Based on the given options, the displacement could be either 0 km or 6 km, depending on the specific details of Dr. Siva's route.

To determine the displacement, we need to consider the net change in position or the straight-line distance between the initial and final positions. Let's analyze the information given:

Dr. Siva walked from home to school, then from the school to the park, and finally walked back home.

The displacement is not determined by the total distance traveled but rather by the straight-line distance between the starting and ending points. We don't have specific information about the distances or directions between the locations, so we cannot calculate the exact displacement.

However, we can make some assumptions based on the given options:

If the distances from home to school and from the school to the park are the same, and Dr. Siva returns directly from the park back home, the displacement would be 0 km. This implies that the final position is the same as the initial position.

If Dr. Siva walks 10 km from home to school, then 10 km from the school to the park, and finally walks 10 km back home, the displacement would be 0 km. This is because the final position would be the same as the initial position.

If Dr. Siva walks 10 km from home to school, then 2 km from the school to the park, and finally walks 6 km back home, the displacement would be 6 km. This implies that the final position is 6 km away from the initial position in the direction of home.

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Answer:

-15x - 12 + 9x^2

Step-by-step explanation:

(-7x - 5) - (-9x^2 + 8x + 7)

-7x - 5 + 9x^2 - 8x -7

-15x - 12 +9x^2

what is that 2 by the 9x

We will simplify the given expression to get:

9x^2 - 15x - 12

Here we have the expression:

(-7x - 5) - (-9x^2 + 8x + 7)

To simplify it, we just perform the difference between the polynomials:

-7x - 5 + 9x^2 - 8x - 7

Now we group terms with correspondent powers of x:

9x^2 + (-7x - 8x) + (-5 - 7)

Now we simplify this:

9x^2 - 15x - 12

This is the quadratic equation simplified.

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Answer:

\(\mathfrak {last \:option }\)

\( \mathfrak\blue{ {option \: 2} }\)

Step-by-step explanation:

x intercept of a function is the point where it's graph intersects the x axis.

or

simply that value x, where the value of y is 0.

since at x = 2; f(x) =0 that point (2, 0) is the x intercept of the function.