What value of x is in the solution set of 3(x – 4) ≥ 5x + 2?

Answer:

10,583 flexible cubes

9915 rigid cubes

Step-by-step explanation:

The equation for the surface area of a square pyramid is area of base plus perimeter of base multiplied by the slant height

Surface area = A + 1/2·p·s

The volume of the pyramid = 1/3×A×h

Where:

A = Area of the base = 20 × 20 = 400 ft²

h = The height of the pyramid = √((slant height)² - ((base side length)/2)²)

h = √(80² - (20/2)²) = 30·√7

The volume of the pyramid = 1/3*400*30·√7 = 4000·√7 ft³ = 10,583.005 ft³

If the cubes are flexible, approximately 10,583 cubes

For rigid cubes we have

Given that the height of the pyramid = 30·√7

The slope of the pyramid = 30·√7/10 = 3·√7

So an increase in height of 1 foot gives a reduction in width of 2/(3·√7)

The bottom can hold 400 cubes

The next layer can hold 19×19 = 361

3rd 361

4th 361

5th 324

6th 324

7th 324

8th 324

9th

Continuing, we get a total of about 9915 rigid cubes in the pyramid.

Answer:

hexagonal shape

Step-by-step explanation:

i am small child from American

sorry for answer

I'm 10 year old

I am born in Nepal

but develop in America

Answer:

[tex]Mean = 12[/tex]

[tex]Standard\ Deviation = 6[/tex]

Step-by-step explanation:

Given

Number of questions, n = 48

Probability of correct answer, p = 1/4

Required

- Find the mean

- Find the standard deviation

Using probability notations;

n = 48 and p = 1/4

Mean is calculated as follows;

[tex]Mean = np[/tex]

Substitute 48 for n and 1/4 for p

[tex]Mean = 48 * \frac{1}{4}[/tex]

[tex]Mean = \frac{48}{4}[/tex]

[tex]Mean = 12[/tex]

The Mean is 12

Calculating Standard Deviation (SD)

[tex]SD = \sqrt{np(1-p)}[/tex]

Substitute 48 for n and 1/4 for p

[tex]SD = \sqrt{48 * \frac{1}{4}(1-\frac{1}{4})}[/tex]

Solve the expression in the bracket

[tex]SD = \sqrt{48 * \frac{1}{4}(\frac{4-1}{4})}[/tex]

[tex]SD = \sqrt{48 * \frac{1}{4}(\frac{3}{4})}[/tex]

Open Bracket

[tex]SD = \sqrt{48 * \frac{1}{4}*\frac{3}{4}}[/tex]

[tex]SD = \sqrt{\frac{48 * 1 * 3}{4}}[/tex]

[tex]SD = \sqrt{\frac{144}{4}}[/tex]

[tex]SD = \sqrt{36}[/tex]

Take Square Root of 36

[tex]SD = 6[/tex]

The standard deviation is 6

Answer:  b) 15 ft

Step-by-step explanation:

The diagonals intersect at a right angle (one of the properties of a rhombus).  

Use Pythagorean Theorem to find the length of the side.

9² + 12² = c²

81 + 144 = c²

      225 = c²

         15 = c

Answer:

i got b!

Step-by-step explanation:

15 feet (:

Answer:

[tex] \frac{80}{100} = \frac{4}{5} [/tex]

Answer:

The third choice.

Step-by-step explanation:

This is a linear function.

The equation is y = (x - 5)(5x + 4) - 5x^2.

y = 5x^2 - 25x + 4x - 20 - 5x^2

y = 5x^2 - 5x^2 - 21x - 20

y = -21x - 20

That means this is a linear function, with a linear term of -21x and constant term of -20.

Hope this helps!

Answer:

Step-by-step explanation:

Answer:

1:27

Step-by-step explanation:

I will use solve in terms of pi

Know that Original volume * scale factor cubed = new volume.

The scale factor is 3 and 3^3 is 27,

Therefore the ratio is 1:27

Scaled figures are zoomed in or zoomed out (or just no zoom) versions of each other. The correct option is D.

Scaled figures are zoomed in or zoomed out (or just no zoom) versions of each other. They have scaled versions of each other, and by scale, we mean that each of their dimension(like height, width etc linear quantities) are constant multiple of their similar figure.

So, if a side of a figure is of length L units, and that of its similar figure is of M units, then:

[tex]L = k \times M[/tex]

where 'k' will be called a scale factor.

The linear things grow linearly like length, height etc.

The quantities which are squares or multiple linear things twice grow by the square of the scale factor. Thus, we need to multiply or divide by k²

to get each other corresponding quantities from their similar figures' quantities.

So the area of the first figure = k² × the area of the second figure

Similarly, increasing product-derived quantities will need increased power of 'k' to get the corresponding quantity. Thus, for volume, it is k cubed. or

The volume of the first figure = k³ × volume of the second figure.

It is because we will need to multiply 3 linear quantities to get volume, which results in k getting multiplied 3 times, thus, cubed.

Given that the diameter of sphere A is 2 units, it is dilated by a scale factor of 3 to create sphere B. Therefore, the diameter of sphere B is,

Diameter of sphere B = 3 × Diameter of sphere A

                                    = 3 × 2 units

                                    = 6 units

Now, the ratio of diameters of the sphere and the volume of the sphere can be written as,

[tex](\dfrac{\text{Diameter of sphere A}}{\text{Diameter of sphere B}})^3 = \dfrac{\text{Volume of sphere A}}{\text{Volume of sphere B}} \\\\\\(\dfrac{2}{6})^3 = \dfrac{\text{Volume of sphere A}}{\text{Volume of sphere B}}\\\\\\\dfrac{\text{Volume of sphere A}}{\text{Volume of sphere B}} = \dfrac{1}{27}[/tex]

Hence, the correct option is D.

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Answer:

(y-2)(x+8)

Step-by-step explanation:

As you can see it is factorized

Answer: 10:19

Step-by-step explanation:

Time she plays on computer = 10 minutes

Time she plays outside = 19

Ratio will be 10:19

Answer:

3n + 5

1. Substitute the numbers

3(5) + 5 = 15 + 5 = 20

2. Substitute the second number

3(6) + 5 = 18 + 5 = 23

This is because I realized I got the number of 4 last because I did 1*2 = 2.

Then I did 2*2 = 4.

So you have to multiply by two to get the next number. Or you can put it to the 4th or 5th exponent of 2.

1.  1

2.  1*2 = 2

3.  2*2 = 4

Answer:

Perpendicular lines

Step-by-step explanation:

MN: (-4, 8) and (-4, -6), This line parallel to y-axis as as x-value doesn't change

KL: (-8, 2) and (6, 2), This line is parallel to x-axis as y-value doesn't change

The given lines are perpendicular as one is parallel to x, another one is parallel to y

Answer:

C

Step-by-step explanation:

Equation A

16x - 7 = 11x - 32

(16x - 7) - 11x = (11x - 32) -11x

5x - 7 = -32

(5x - 7) + 7 = (-32) + 7

5x = -25

(5x)/5 = (-25)/5

x = -5

Equation B

-4x - 10 = 2x + 20

(-4x - 10) - 2x = (2x + 20) - 2x

-6x - 10 = 20

(-6x - 10) + 10 = (20) + 10

-6x = 30

(-6x)/-6 = (30)/-6

x = -5

Both Equation A and Equation B have a solution of -5.

Answer:

x=11

Step-by-step explanation:

(x-3)/2=(x+1)/3

multiply (x-3)(3) and 2(x+1)

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

3x-9=2x+2

Get the variables on one side and numbers on another

3x-2x=3+9

x=11

Answer:

Step-by-step explanation:

[tex] \frac{(x - 3)}{2} = \frac{x + 1}{3} [/tex]

Multiply through by the LCM

The LCM of 2 and 3 is 6

So we have

[tex]6 \times \frac{ x - 3}{2} = 6 \times \frac{x + 1}{3} [/tex]

Simplify

[tex]3(x - 3) = 2(x + 1) \\ \\ 3x - 9 = 2x + 2[/tex]

Group like terms and simplify

That's

[tex]3x - 2x = 2 + 9 \\ \\ \\ \\ x = 11[/tex]

Hope this helps you

Answer:

$825.28

Step-by-step explanation:

First, we need to calculate the 15% off sale:

870(0.85) = 739.50

Now, we will calculate and add on the sales tax:

739.50(1.116) = 825.28

So, the final price of the dresser will be $825.28

Hence, the total cost of the dresser is $ [tex]15.138[/tex].

What is the percentage?

Percentages are generally defined as a ratio of any value to the whole value multiplied by [tex]100[/tex].

The symbol used to represent the percentage is %. Percentage means a number or a ratio represented in the form of fractions of [tex]100[/tex]. It is represented using the percentage sign ‘%’.

Here given that,

A dresser is normally priced at $[tex]870[/tex]. ​ ​This weekend however, there is a sale where everything is [tex]15[/tex]% off. ​ ​If the sales tax on items is [tex]11.6[/tex]%,

Firstly we will calculate the [tex]15[/tex]% off sale is

[tex]15[/tex]%[tex]=\frac{15}{100}\\\\[/tex]

[tex]15[/tex]%[tex]=0.15[/tex]

So,[tex]870(0.15) =130.5[/tex]

Then,

[tex]\frac{11.6}{100}=0.116[/tex] %

The sales tax on items is [tex]11.6[/tex]% is

[tex]130.5(0.116)=15.138[/tex] $

Hence, the total cost of the dresser is $ [tex]15.138[/tex].

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Answer:

y = -3/4

Step-by-step explanation:

1. Simplify all terms - 8y + 6 = ?

2. Set to two sides - 8y = -6

3. Solve - y = -6/8 = -3/4

Hope this helps:)

Answer:

43.3 m

Step-by-step explanation:

you can use Tangent and calculator or table to find it.

tan ∅ = opp/adj

tan 61° = r/24

1.804 = r/24

r = 1.084 * 24 = 43.297 m

r = 43.3 m

Answer:

i think 56..?

Step-by-step explanation:

The geometric mean of 64 and 49 is 56.

The geometric mean is a mean or average of the  data sets using their product. The formula to calculate geometric mean is [tex]\sqrt{a*b}[/tex]

To find the geometric mean of 64 and 49 we have to put these values in the above formula. So,

Geometric Mean=[tex]\sqrt{64*49}[/tex]

=[tex]\sqrt{3136}[/tex]

=56

Hence the geometric mean of 64 and 49 is 56.

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Answer:

t = 2,22 h

Step-by-step explanation:

At the beginning with the first processor, we download in 5 hours the whole movie, then in 1 hour, that processor downloads 1/5 of the movie.

If with the two processors we download the movie in 4 hours in 1 hour we download 1/4 of the movie.

In 1 hour with the two processors,  we get    1/4,  and in 1 hour with the old processor we get 1/5  

Then in 1-hour the old processor  plus contribution of the new one will download 1/4 of the movie or

 1/5  +  x   = 1/4

x  = 1/4 - 1/5

x(h) =  5 + 4 /20        x = 9/20    or   0,45 of the movie in  1 hour

Working along the new processor will do 0,45 ( 9/20) in 1 hour, to finish the whole movie it will need to download 11/20

If   in 1 hour download    9/20

            x                          11/20

x(r)   = (11/20) / (9/20)    = 11/9     x(r) =  1,22 (h)

Then total time for the new processor to download the movie is:

t = 1,22 + 1

t = 2,22 h

Answer:

Invariant points = 0

Step-by-step explanation:

When a point (h, k) is translated by a vector [tex]\binom{x}{y}[/tex], rule to be followed,

(h, k) → [(x + h), (y + k)]

Following this rule translated vertices of the rectangle OABC by a vector [tex]\binom{1}{3}[/tex] will be,

O(0,0) → O'(1, 3)

A(3, 0) → A'[(3 + 1), (0 + 3)]

           → A'(4, 3)

B(3, 3) → B'[(3 + 1), (3 + 3)]

           → B'(4, 6)

C(3, 0) → C'[(3 + 1), (0 + 3)]

           → C'(4, 3)

Therefore, every point on the perimeter of the square will get changed.

Number of invariant points = 0

Answer:

180 grams

Step-by-step explanation:

2 people = 5 ounces

6 people= 5*3= 15 ounces

1 ounce= 28 grams

15 ounces= 15*28 grams= 420 grams

There is 240 grams already on the weight, so

420- 240= 180 grams more of diced onions are required

Answer:

The correct option is 1.

Explanation:

The correct option is one because it means X is perpendicular to A and X is perpendicular to B.

If  the two lines are perpendicular to a same line,  then both lines are parallel to each other.

Here X⊥A and X⊥B. So, A║B.

Answer :

Given that the base of the triangle is x m, the height is 3m less than twice it's base then the height will be represented by the equation:

(2x-3) m

Thus the area will be:

Area=1/2bh

Area=1/2x(2x-3)=17.5

x^2-1.5x=17.5

Writing the above equation is quadratic form of ax^2+bx+c=0 we get:

x^2-1.5x-17.5=0

Answer:

Tan 50 =3/a is the ans

Step-by-step explanation:

Feel very happy to help u

Answer:

tan 50=3/a

Step-by-step explanation:

Using the trigonometric ratio, tan(tita)=opposite/adjacent.

Opposite is the side with only 90°. Adjacent is the side with two angles.

Answer:

a) (i) 14.6cm (3 s.f.)

(ii) 77.6° (1 d.p.)

b) (i) see 4th picture

(ii) 16.3cm² (3 s.f.)

Step-by-step explanation:

Please see the attached pictures for full solution.

Answer: No real solutions

Step-by-step explanation:

The discriminant can tell you how many solutions a quadratic equation has. The formula is b²-4ac. This also comes from the quadratic equation.

6²-4(1)(10)

36-40

-4

Since the discriminant is less that 0, there are no roots.

Answer:

[tex]P = \frac{5}{282} = 0.0177[/tex]

Step-by-step explanation:

First we need to find the total amount of apples in the crate:

Total = 10 + 14 + 4 + 18 = 46 apples

The probability of the first apple being a golden delicious apple is the number of those apples over the total number of apples:

[tex]P(golden) = \frac{N(golden)}{N(total)}[/tex]

[tex]P(golden) = \frac{4}{48} = \frac{1}{12}[/tex]

Then, the probability of the second apple being a granny Smith apple is the number of those apples over the total number of apples, but now the total number of apples is one less, because one apple was removed from the crate:

[tex]P(granny) = \frac{N(granny)}{N(total)-1}[/tex]

[tex]P(granny) = \frac{10}{47}[/tex]

The final probability we want is the product of those two probabilities:

[tex]P = P(golden) * P(granny) = \frac{1}{12} \frac{10}{47} = \frac{10}{564} = \frac{5}{282}= 0.0177[/tex]

Answer:

False

Step-by-step explanation:

A ball is a three dimensional object and it is spherical in shape.

Answer:

A ball is spherical

it's shaped like a sphere

Answer:

A. 48

Step-by-step explanation:

cat/dog= 4/3

4/3=x/36

x= 36*4/3= 48

Option A. 48