Quadrilateral TEAM is rotated-180° about the origin.
Draw the image of this rotation.

Answer: 400000 * (0.83)^3

Step-by-step explanation:

A yearly decline of 17% means the number sold is getting MULTIPLIED by (1-17%) = (100%-17%) = 83% = 0.83. The number sold 3 years from now will be

400000 * (0.83)^3

Answer:

228715 CD

Step-by-step explanation:

In the first year the sale would be ;

100-17 / 100 × 400,000= 83/100 × 400,000 = 332000 CD.

In the second year the sale would be;

83/100 × 332000 CD= 275560CD

In the third year the sale would be;

83/100 × 275560CD = 228714 .8 CD

It's approximated to the nearest whole.

228715 CD

Answer:

\(\displaystyle 1\frac{1}{8}\) ft³

Step-by-step explanation:

     First, the box is one foot tall. In other words, it has a height of 1 foot. Since one cube is equal to \(\frac{1}{4}\) ft, and the box is four cubes tall,

\(\frac{1}{4}\) ft + \(\frac{1}{4}\) ft + \(\frac{1}{4}\) ft + \(\frac{1}{4}\) ft = 1 foot

    Now, it has a width of  \(\frac{3}{4}\) ft because, as stated above, one cube is equal to \(\frac{1}{4}\) ft. The box has three cubes making up the width.  

\(\frac{1}{4}\) ft  + \(\frac{1}{4}\) ft  + \(\frac{1}{4}\) ft = \(\frac{3}{4}\) ft

   Next, it has a length of  \(\frac{3}{2}\) ft because, as stated twice above, one cube is equal to \(\frac{1}{4}\) ft. The box has six cubes making up the length.  

\(\frac{1}{4}\) ft  + \(\frac{1}{4}\) ft  + \(\frac{1}{4}\) ft + \(\frac{1}{4}\) ft  + \(\frac{1}{4}\) ft  + \(\frac{1}{4}\) ft = \(\frac{6}{4}\) ft = \(\frac{3}{2}\) ft

  Lastly, we will solve for the full volume of the box.

V = L * W * H

V = \(\frac{3}{2}\) ft * \(\frac{3}{4}\) ft * 1 ft

V = \(\displaystyle \frac{3*3*1}{2*4}\) ft³

V = \(\displaystyle \frac{9}{8}\) ft³

V = 1  \(\displaystyle \frac{1}{8}\) ft³

Answer:

D \(1 \frac{1}{8}\) ft³

Step-by-step explanation:

V= area of base * h

A of base= 3(1/4) × 6(1/4) = 18

↓

a of base = 0.75 x 1.5 = 1.125

=

1.125 x 4(1/4)

↓

1.125 x  1 = 1.125

1.125 = x/y ⇒ \(1 \frac{1}{8}\)

Your answer is D \(1 \frac{1}{8}\) ft³

Hope this helps! Let me know if you have any questions. Have a great day!

Answer:

the slope is stepper and the line is shifted up

Answer:

25 students voted for peperoni

132 cm² is the area of the given figure.

To find the area of the figure we need to divide it into two parts such as a rectangle with the dimension of 20 * 6 and a triangle with the dimension of  (10 - 6) * (20 - (8 + 6)).

So,

the height of the triangle = 10 - 6 = 4 cm

the base of the triangle = 20 - (8 + 6) = 20 - 14 = 6 cm

Thus,

the area of the triangle = 1/2 * base * height

= 1/2 * 6 * 4

= 12 square cm

Area of the rectangle = length * width

= 20 * 6

= 120 square cm

Thus, the area of the figure will be = 120 + 12  = 132 square cm.

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Answer:

Step-by-step explanation:

{ √2 , - √2 }

{ 5 , - 5 }

{ √21 , - √21 }

{ √10 , - √10 }

No real solutions

Answer:

Yes. |8|+|-7| = 15

Step-by-step explanation:

the absolute cancels out the -, so it would mean that -7 is now positive 7, so yes it'd be 15

Answer:

30 km/h car

Step-by-step explanation:

From analysis the   car traveling at 30 km/h has greater kinetic energy

we can deduce it from the expression of kinetic energy which is

\(KE=\frac{1}{2} mv^2\)

Assuming the mass m= 1 kg

For the 30 km/h

\(KE=\frac{1}{2}*1*30^2 \\\\KE=\frac{1}{2}*1*900\\\\\KE=450 J\)

For the 15 km/h

\(KE=\frac{1}{2}*2*15^2 \\\\ KE=\frac{1}{2}*2*225 \\\\\ KE=\frac{1}{2}*450 J\\\\\ KE=225 J\)

Though the kinetic energy is a function of mass and velocity, but from our analysis the faster moving object has more KE

The correct statement is: provided that the sample size is reasonably large (for any population).

The Central Limit Theorem states that, under certain conditions, the sampling distribution of the sample mean will be approximately normal, regardless of the shape of the population distribution.

These conditions include a random sample from the population and a sufficiently large sample size (typically, n > 30 is considered large enough).

Therefore, the Central Limit Theorem is important because it allows us to make inferences about the population mean using the normal distribution, even if we do not know the population distribution.

This is useful in many applications of statistics, including hypothesis testing, confidence intervals, and estimating population parameters

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Answer:

15*24=360

Step-by-step explanation:

Answer:On A.p.E.X its Log (15) + Log (24)

Step-by-step explanation:

These are the polynomial equations:

A = x^ (1/4) - ∛x + 4√x - 8x + 16

B = 3x² - 5x⁴ + 2x - 12

C = x³ - 7x² + 9x - 5x⁴ - 20

D = x⁵ - 5x⁴ + 4x³ - 3x² + 2x - 1

These are the non-polynomial equations:

E = 4/x⁴ + 3/x³ - 2/x² - 1

F = x⁻⁵ - 5x⁻⁴ + 4x⁻³ - 3x⁻² + 2x⁻¹ - 1

Polynomials are mathematical expressions that only use addition, subtraction, multiplication, and non-negative exponentiation of the variables, along with coefficients (constants that multiply with the variables), coefficients, and constants.

Some of the elements of an equation are coefficients, variables, operators, constants, terms, expressions, and the equal to sign. An equation must always begin with the "=" sign and have terms on both sides.

Let the polynomial equations be represented by the following letters: A, B, C, D, E, and F.

In the equation, we can solve for other values to obtain:

Moreover, a polynomial equation is not an algebraic equation that has a negative exponent or an exponent that is fractional. Thus, negative exponent expressions are not polynomials.

A = x^ (1/4) - ∛x + 4√x - 8x + 16

This polynomial exists.

B = 3x² - 5x⁴ + 2x - 12

This polynomial exists.

C = x³ - 7x² + 9x - 5x⁴ - 20

This polynomial exists.

D = x⁵ - 5x⁴ + 4x³ - 3x² + 2x - 1

It is a polynomial.

E = 4/x⁴ + 3/x³ - 2/x² - 1

It is not a polynomial.

F = x⁻⁵ - 5x⁻⁴ + 4x⁻³ - 3x⁻² + 2x⁻¹ - 1

A polynomial is not what it is.

The polynomials are thus resolved.

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Answer:

the answer is [3x56] x 44

Step-by-step explanation:

Answer:  b

Step-by-step explanation:

I think

Answer:

x=23, y=13

Step-by-step explanation:

x+y=36

x-y=10

23+13=36

23-13=10

Answer: complimentary and adjacent

Step-by-step explanation:

Right Bisector also known as Perpendicular Bisector is a line that bisects another line segment at a right angle, through the intersection point.

First we will draw a line segment AB = 7 cm with the help ruler, then with vertex A, by using compass take more than half of AB and draw arcs, one each side of AB and mark them X and Y and then with vertex B, by using compass with same length again, cut the previous arcs at X and Y respectively.

Now, with help of ruler join the point X and Y. Thus XY is the perpendicular bisector of line AB.

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Answer:

800 in3

Step-by-step explanation:

20in * 10in * 10in = 2000 in3

6in * 2in * 5in = 60 in3

The volume of one box of cupcake is 60 in3

60 in3* 20 = 1200 in3

2000in3 - 1200 in3 = 800 in3

The values of a and b for the function f(x) = (4x+b)/(ax+7) to have x=5 as a vertical asymptote and y=6 as a horizontal asymptote are a=1/6 and b=24.

For the function to have x=5 as a vertical asymptote, the denominator ax+7 must approach 0 as x approaches 5. This means that a must be equal to 1/6 to make ax+7 equal to 0 when x=5.

For the function to have y=6 as a horizontal asymptote, the limit of f(x) as x approaches infinity should be equal to 6. Therefore, we can use the fact that f(x) approaches b/a as x approaches infinity.

If we set b/a = 6, we can solve for b to get b = 6a.

Substituting the value of a we found earlier, we get b = 4.

Therefore, the values of a and b that satisfy the conditions are a=1/6 and b=24.

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Answer:

i think its either the 2nd or 3rd awnser

Step-by-step explanation:

If Station 1 (at 74, 41) is 44 km away and Station 2( at 0,43 ) is 38 km away. The required approximate location of the GPS receiver is (42, 10).

The location of the GPS receiver can be determined with the help of trilateration. Trilateration is a process of determining absolute or relative locations of points by measurement of distances, using the geometry of circles, spheres, or triangles. If three stations (or more) are in known locations, with a known distance from the point of interest, we can determine the position of the GPS receiver with the help of trilateration.

It can be determined by the following method:

1: Plot the given stations on a coordinate plane. Stations are:

Station 1: (74, 41)

Station 2: (0, 43)

2: Calculate the distance of the GPS receiver from each station using the distance formula.

Distance Formula: The distance formula is used to find the distance between two points in the coordinate plane. The distance between points (x1,y1) and (x2,y2) is given by

d = √[(x2 - x1)² + (y2 - y1)²]

Station 1: Distance from station 1 = 44 kmSo, d1 = 44 km

Station 2: Distance from station 2 = 38 kmSo, d2 = 38 km

3: Plot the given distances as the circle on the coordinate plane.

Circle 1: Centred at (74, 41) with a radius of 44 km.

Circle 2: Centred at (0, 43) with a radius of 38 km.

4: The intersection of two circles. Circle 1 and Circle 2 intersect at point P (approx) (42, 10). So, the approximate location of the GPS receiver is (42, 10).

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Answer:

B. 7 + (y · 5) and 7 + (5 · y)

Step-by-step explanation:

Multiplication has the commutative property which means the result is the same no matter what way round the numbers are, e.g. 4 × 3 is the same as 3 × 4. In both expressions 5 and y is in brackets and the results of both brackets are 5y. Both expressions are equal to 7 + 5y therefore they are equivalent.

Hope this helps!

Answer:

B- 7+(y*5) and 7+(5*y)

Step-by-step explanation:

Answer:

7

Step-by-step explanation:

First, put them in numerical order: 2, 4, 5, 7, 8, 9, 12

Then cross out one from each side until  you get to the middle

The median of the given data set  7,5, 12, 8, 2,9,4 is 7.

Mode is the highest frequency number while the median is the middle value of a data set after writing either increasing or decreasing manner.

For example;

Set { 1,2,2,3,4,5,6} here mode is 2 and median is 3.

Given the data set,

7,5, 12, 8, 2,9,4

If we write it in increasing order then,

2, 4, 5, 7, 8, 9, 12

Now median is middle value so here 7 is in between 3 - 3 from left and right.

Hence "The median of the given data set  7,5, 12, 8, 2,9,4 is 7".

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Answer:

True kinda.  depends on beleif and culture

Step-by-step explanation:

The quotient of a number and 12 is no more than 3. thus quotient of a number x and 12 is x/12.

Quotients are the number that is obtained by dividing one number by another number.

We have been Given The quotient of a number and 12 is no more than 3.

Let the unknown number is x:

\(x/12 \leftarrow 3\)

\(x \leftarrow 3 \times 12\)

\(x \leftarrow 36\)

The quotient of a number x and 12 is x/12.

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The expression  aₙ > 0 and lim n → [∞] aₙ + 1 is true.

The term expression in math is defined as a sentence with a minimum of two numbers or variables and at least one math operation.

Here we have given that if an > 0 and lim n→[infinity] an + 1 an < 1, then lim n→[infinity] an = 0.

And we need to check whether the given statement is true or not.

While we looking into the given question, we have identified the following expression,

=> lim n → [∞] aₙ + 1

Here we have also know that the value of aₙ > 0.

When we equate the given expression with zero, we have get the following expression,

=> lim n → [∞] aₙ + 1 = 0

=>  lim n → [∞] aₙ = -1

Here we have given the condition that,  aₙ >0, so

=> lim n → [∞] aₙ = 0

Therefore, the expression is zero.

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