A rectangle has an area of 4y2 – 49 square
units. What are the dimensions of the
rectangle?

3(x-4)(2x+5)

= 3×(x-4)×(2x+5)

= (3x-12)(2x+5)

= 6x²+15x-24x-60

= 6x²-9x-60

[tex]3( {2x }^{2} + 5x - 8x - 20) \\ 3( {2x}^{2} - 3x - 20) \\ {6x}^{2} - 9x - 60 \\(6x + \frac{5}{2} )(x - 4)[/tex]

Answer:

Mixed Number Form: x = 1 45/299

Decimal Form: x = 1.15050167…

Step-by-step explanation:

Answer:

  1) V= 23,900(0.936)(0.936)(0.936)(0.936)

Step-by-step explanation:

Each year, the car depreciates to 1 -0.064 = 0.936 of its previous value. After 4 years, the original value has been multiplied by this factor 4 times:

__

  depreciated value = 23,900(0.936)(0.936)(0.936)(0.936)

_____

This could be represented by ...

  V = 23,900(1 -0.064)⁴ . . . . . . not an answer choice

Answer:

Let x be the number of left handed female students and let y be the number of left handed male students.

Then the number of right handed female students will be 5x and the number of right handed male students will be 9y. Since the total number of left handed students is 18 and the total number of right handed students is 122, the following system of equations must be satisfied.

x+y=18 and 5x+9y=122

Solving this system gives x=10 and y=8.

Thus, 50 of the 122 right handed students are female. Therefore, the probability that a right handed student selected at random is female is   the fraction  50/122

which to the nearest thousandth is 0.410.

T is average time spend by shoppers in minutes

N average number of shoppers.

Here, shoppers/hour =84.

Hence r=

60

84

​T=5

Hence N=rT=

60

84

​

×5=7

Average number of shoppers waiting at checkout =7

Answer:

EMMA ITS KAIDN. text back.

Step-by-step explanation:

I had already answered this.

In the given question, to approach this, we should have a little understanding of what is a random variable. The random variable here is the distance travelled by the tee shots in a golf.

A random variable is a numerical description of the outcome of a statistical experiment. A random variable that may assume only a finite number or an infinite sequence of values is said to be discrete; one that may assume any value in some interval on the real number line is said to be continuous.

We are given two scenarios in which we are to identify the random variable here.

In the above scenarios, the random variable here is the distance travelled by the tee shots in a golf. The reason is that we can never give an exact value the distance and would lead to an assumption of a finite number of value or an infinite sequence of values to determine this.

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Answer:

[tex]3^{6}[/tex] is the answer your looking for

Step-by-step explanation:

Answer:

$2.15

Step-by-step explanation:

$5 - $2.85 = $2.15

this is the explanation

The cost of dry bag is $2.85 then the change does Alka get back will be $2.15.

The four fundamental operations of arithmetic are addition, subtraction, multiplication, and division of two or even more items.

Included in them is the study of integers, especially the order of operations, which is important for all other areas of mathematics, notably algebra, data management, and geometry.

As per the mentioned information in the question,

Cost of dry bag = $2.85

Money given by Alka for the bill = $5.00

Then, the amount she will get back,

($5.00 - $2.85) = $2.15

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Answer:

He will need $2,503,250 pesos.

Step-by-step explanation:

2,945 x 850 = 2,503,250

Answer:

The largest interger that satisfies the equation is 3

Step-by-step explanation:

If we subtract 10 from each side, we get 7x<=21

Then, we divide 7 on each side to get x<=3.

So the largest interger to satisfy the equation is 3

(Btw, <= means less than or equal to)

Hope this helped you, and have a great day!

Answer:

x<=3

Step-by-step explanation:

minus 10 fom both sides

7x + 10-10<=31-10

restate as

7x<=21

divid both side by same factor

7x/7 and 21/7

restate as

x<=3

Based on the information given in the table, the discrete quantitative variable would be the number of hotels.

This refers to a variable in a distribution that can only take on a specific value that is countable.

This means that the number does not go on forever. Examples of these are the number of fingers and toes you have.

The discrete quantitative variable from the options would therefore be the number of hotels that there are.

________________________________________________________

The rest of the question is:

Which of the variables is a discrete quantitative variable?

A:average temperature

B:number of hotels

C:beach access

D:location

________________________________________________________

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Answer:

It would be y=12x

Step-by-step explanation:

I think

Answer:

if x=24°and y = 54°

sin x + sin y

Answer:

Step-by-step explanation:

(9 + 3)/(2 - 2)= 12/0= undefined

Answer:

Hey!

Well based on my knowledge it usually says that on the tissue box itself.... (in fine print)

i may be wrong.... but do check...

Answer:

20%

Step-by-step explanation:

50+30=80

100-80=20

so you would pay 20%

Answer:

  $8,287,429

Step-by-step explanation:

The total profit will be the sum of a geometric series. The formula for that sum is ...

  Sn = a1 × (r^n -1)/(r -1)

where a1 is the first term, r is the common ratio, and n is the number of terms.

__

Here, the series has first term $140,000, common ratio 1+0.20 = 1.2, and we want the total of 14 terms. The total profit is ...

  S14 = ($140,000) × (1.2^14 -1)/(1.2 -1) ≈ $8,287,429

In the first 14 years of operation, the total profit would be $8,287,429.

The volume of the cone is 254.85 cubic units

The side length of the equilateral triangle is given as:

l = 12√3

Calculate the radius (r) of the cone using:

r = l/2

r = 12/2√3

r = 6√3

Calculate the height of the cone using:

[tex]h = \sqrt{l^2 + (l/2)^2[/tex]

This gives

[tex]h = \sqrt{(12\sqrt 3)^2 + (6\sqrt3)^2[/tex]

Evaluate

[tex]h = \sqrt{540[/tex]

h = 22.24

The volume of the cone is then calculated as:

V = 1/3πr²h

This gives

V = 1/3π * (6√3)² * 22.24

Evaluate

V = 254.85

Hence, the volume of the cone is 254.85 cubic units

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Answer:

B

Step-by-step explanation:

~ symbol refers to similarity. ∆ABC ~∆XYZ means that the two triangles are similar(Same shapes, not the same size).

The answer choice which is true of a sphere; A sphere is the set of all points in space equidistant from a point called the center.

A sphere is a geometrical entity that is characterized as a three-dimensional analogue to a two-dimensional circle. A sphere is the set of points that are all at the same distance from a given point in three-dimensional space. The given point in discuss is the centre of the sphere, and distance, r is the sphere's radius.

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Answer:

on the graph all u have to do is draw the line Have a great day and i hope this helps!

Step-by-step explanation:

can you upload a less blury picture

Answer:

  (-3/2, 0)

Step-by-step explanation:

The midpoint of a line segment is the average of the end point coordinates.

  M = (A +B)/2

__

For end points A(-5, 5) and B(2, -5), the midpoint is ...

  ((-5, 5) +(2, -5))/2 = (-5+2, 5-5)/2 = (-3, 0)/2 = (-3/2, 0)

The midpoint of the segment is (-3/2, 0).

Answer:

1/4

Step-by-step explanation:

5 black marbles out of  20 total    is    5 /20 = 1/4

Answer:

3t-10

Step-by-step explanation:

g(h(t))=g(t-4)

=3(t-4)+2

=3t-12+2

=3t-10

Answer:

Step-by-step explanation:

Answer:

The next term of the sequence is represented by the point (5, –64)

Step-by-step explanation:

From inspection of the graph, the first four terms of the sequence are:

Each x-value increases by 1 for each consecutive term.

Each y-value is the previous y-value multiplied by -2.

Therefore, it is a geometric sequence with a common ratio of -2.

Following the above rule, if the last term in the sequence is (4, 32), then the next term in the sequence will be:

So, the next term of the sequence is represented by the point (5, –64)

The angle made by an arc at the centre of the circle is double the angle made by the same arc at any point on the circle. The measure of the angle θ will be 45°.

According to the arc and subtended angle theorem, The angle made by an arc at the centre of the circle is double the angle made by the same arc at any point on the circle.

The angle made by an arc at the centre of the circle is double the angle made by the same arc at any point on the circle. Therefore, the measure of the angle θ will be half the measure of the ∠P.

As it can be observed the measure of the angle ∠P is 90°, therefore, the measure of the angle θ can be written as,

∠P = 2 × ∠θ

90° = 2 × ∠θ

∠θ = 45°

Hence, the measure of the angle θ will be 45°.

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Answer:

D 180 in²

Step-by-step explanation:

step 1

2 (l) (w) + 2 (l) (h) + 2(h) (w)

step 2

2×(6)×(3) + 2×(6)×(8) + 2×(8)×(3)

step 3

2×(18) + 2×(48) + 2×(24)

step4

36 + 96 + 48 = 180 in²

Basic perimeter is really easy to understand;

Step-by-step explanation:

10 x 8 = 80 in.

80 in. is your answer! Please mark brainliest and have a great day! :D

Using it's concept, it is found that the probability that John's next three spins land on the number 2 is of [tex]\frac{1}{125}[/tex].

A probability is given by the number of desired outcomes divided by the number of total outcomes.

In this problem, we have that out of 5 numbers, one is 2, hence the probability of three consecutive spins landing on two is given by:

[tex]p = \left(\frac{1}{5}\right)^3 = \frac{1}{125}[/tex].

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If the scale factor is 3/4. Then the perimeter of the original triangle will be 66.67 units.

Dilation is the process of increasing the size of an item without affecting its form. Depending on the scale factor, the object's size can be raised or lowered.

A triangle with a perimeter of 50 units is the image of a triangle that was dilated by a scale factor of 3/4.

Then the perimeter of the preimage, the original triangle, before its

dilation will be

Let c be the perimeter of the original triangle.

Then we have

[tex]\rm \dfrac{3}{4} \times x = 50\\\\x = 66.67[/tex]

Then the perimeter of the original triangle is 66.67 units.

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