Find the number of faces, edges and vertices of the solid.​

Answer:

y = 147.56 - 10.78x

Step-by-step explanation:

Given :

x = 10.2 ; y = 37.6 ; Sx = 2.8 ; Sy = 30.8 ; r = - 0.98

The regression equation :

y = mx + c

Where ;

m = slope ; c = intercept

Slope = r * (Sy/Sx)

Slope = - 0.98 * (30.8 / 2.8)

Slope = - 0.98 * 11 = - 10.78

To obtain c :

y = mx + c

y - mx = c

37.6 - (-10.78)(10.2) = c

37.6 + 109.956 = c

147.556 = c

Hence, equation becomes :

y = 147.556 - 10.78x

y = 147.56 - 10.78x

Answer:

y = 147.56 + -10.78x

Step-by-step explanation:

Answer:

261763

Step-by-step explanation:

599*437

=261763

Answer:

5/18, 13/18

Step-by-step explanation:

The basic probability of anything is Specific Outcome / Total Outcomes

The specific outcome here is pulling a purple marble. We see there are 5 purple marbles therefore there are 5 ways to get them. The total outcomes are the total number of marbles which is 18. Therefore, the answer is 5/18

The complement of a probability is 1 minus the original probability, so, it would be 1 - 5/18 here getting us 13/18 as the answer.

Answer:

x^2 = 12 (y - 2)

Step-by-step explanation:

how to explian

The equation that represents a parabola is x^2 = 12(y-2).

Parabola is a open curve, a conic section produced by the intersection of a right circular cone and a plane parallel to an element of the cone. A parabola is the locus of a point that is equidistant from a fixed point called the focus (F), and the fixed-line is called the directrix.

For the given situation,

A parabola with a focus of (h,k+p) is (0, 5) and

A directrix of y = (k-p) = -1

Here,

[tex]k+p=5\\k-p=-1[/tex]

On solving these equations,

[tex]k=2, p =3[/tex]

The general equation of parabola is

[tex](x-h)^{2} =4p(y-k)[/tex]

On substituting all the values,

⇒ [tex](x-0)^{2} =4(3)(y-2)[/tex]

⇒ [tex]x^{2} =12(y-2)[/tex]

Hence we can conclude that the equation that represents a parabola is x^2 = 12(y-2).

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Answer:

4(6 - 1) = 4 * 6 - 4 * 1 = 24 - 4 = 20

Step-by-step explanation:

Multiply 4 by each of the numbers inside the parentheses.

4(6 - 1) = 4 * 6 - 4 * 1 = 24 - 4 = 20

Answer: 24-4

Explanation: 4(6-1)

4x6=24

4x-1=-1

24-4

This is the correct answer

This inequality will be represented by an arrow starting from 7 and directed towards the right. Option 3 will be the correct answer.

Inequality is defined as the relation which makes a non-equal comparison between two given functions.

Given inequality is,

3m [tex]\geq[/tex] 21

To find the solutions to the given inequality solve this inequality first.

3m/3  [tex]\geq[/tex] 21/3

m  [tex]\geq[/tex] 7

This inequality will be represented by an arrow starting from 7 and directed towards the right.

Since, inequality is having a sign notation of greater than equal to, the arrow will start with a dark circle located at 7.

Therefore, Option 3 will be the correct answer.

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Answer:

Step-by-step explanation:

Answer:

inverseoperations

Step-by-step explanation:

An inequality is used to represent unequal expressions or numbers. The inequality describing the restrictions on the number of people possible in a van is [tex]160n + 200 \le 1200[/tex].

Given that:

[tex]Total = 1200[/tex] --- total pounds the van can contain

[tex]Weight = 150[/tex] --- average weight of each person

[tex]Gear = 200[/tex] -- weight of the gear in a van

[tex]Meal =10[/tex] -- weight of each meal

Assume there are n people.

The total weight (T) of the n people is:

[tex]T = Weight \times n[/tex]

Substitute [tex]Weight = 150[/tex]

[tex]T = 150 \times n[/tex]

[tex]T = 150n[/tex]

The total weight (M) of the meals is:

[tex]M= Meal \times n[/tex]

Substitute [tex]Meal =10[/tex]

[tex]M= 10\times n[/tex]

[tex]M= 10n[/tex]

Because the van cannot contain more than 1200 pounds, we use less than or equal to as the inequality.

So, the inequality is:

[tex]T + M + Gear \le 1200[/tex]

[tex]150n + 10n + 200 \le 1200[/tex]

[tex]160n + 200 \le 1200[/tex]

Hence, the inequality is: [tex]160n + 200 \le 1200[/tex]

The solution to the inequality is as follows:

[tex]160n + 200 \le 1200[/tex]

Collect like terms

[tex]160n \le 1200-200[/tex]

[tex]160n \le 1000[/tex]

Divide both sides by 160

[tex]n \le 6.25[/tex]

Remove the decimal part (do not approximate)

[tex]n \le 6[/tex]

Hence, the vehicle cannot contain more than 6 people.

See attachment for graph

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Answer:

why man

Step-by-step explanation:

Answer:

y=5x+1

Explanation:

I suggest using webmath, its very helpful!

Answer: 28.1x−3.1

Step-by-step explanation: 1.5(x+3)+3.8(7x−2)

=(1.5)(x)+(1.5)(3)+(3.8)(7x)+(3.8)(−2)

=1.5x+4.5+26.6x+−7.6

=(1.5x+26.6x)+(4.5+−7.6)

=28.1x+−3.1

=28.1x−3.1

Answer:

[tex]x_{1} =-5\\and \\x_{2} =-3[/tex]

Step-by-step explanation:

Solve by using factoring ------->

rewrite the expresion

x^2+8x+15=0

x^2+5x+3x+15=0

factor out x from the expression

x^2+5x+3x+15=0

xx(x+5)+3x+15=0

xx(x+5)+3(x+5)=0

factor out x+5 from expression

(x+5)x(x+3)=0

when the product of factors equals 0, at least one factor is 0

x+5=0

x+3=0

solve the equation for x

x = -5

x = -3

the equation has 2 solutions

[tex]x_{1} =-5, x_{2} =-3[/tex]

Quadratic formula

[tex]x=\frac{-8+\sqrt{8^{2} -4x1x15} }{2x1}[/tex]

any expression multiplied by 1 remains the same

[tex]x=\frac{-8+\sqrt{8^{2}-4x15 } }{2}[/tex]

evaluate the power

[tex]x=\frac{-8+\sqrt{64-4x15} }{2}[/tex]

multiply the numbers

[tex]x=\frac{-8+\sqrt{64-60} }{2}[/tex]

subtract the numbers

[tex]x=\frac{8+\sqrt{4} }{2}[/tex]

calculate the square root

[tex]x=\frac{-8+2}{2}[/tex]

write solution with a + sign and a - sign

[tex]x=\frac{-8+2}{2} \\x=\frac{-8-2}{2}[/tex]

calculate the value

[tex]x=-3\\x=-5[/tex]

the equation has 2 solutions

[tex]x=-3\\x=-5 \\and\\x_{1} =-5\\x_{2} =-3[/tex]

Answer:

it 11  IT NOT 22 NOR 2 okay 11

Step-by-step explanation:

Answer:That is no thing shown below

Step-by-step explanation:

Answer:

I wish I could help you but you didn't attach a picture.

Answer:

37

\

Step-by-step explanation:

Answer:

The shaded region has an area of 1400 square units

Step-by-step explanation:

Area of Compound Shapes

We are given a shape and it's required to calculate its area. The shape can be divided into three rectangles as shown in the figure attached below.

The lengths of these rectangles are x, y, and z.

The value of x can be calculated as:

x = 60 - 15 - 10 = 35

Similarly:

y = 60 - 15 = 45

z = y = 45

The first rectangle has dimensions of x by 10, thus its area is:

A1 = 35*10 = 350

The second rectangle has dimensions of 60 by 10:

A2 = 60*10 = 600

The third rectangle has dimensions y by 10:

A3 = 55*10 = 450

The shaded area is:

A = 350 + 600 + 450 = 1400

The shaded region has an area of 1400 square units

Answer:

1400 square unit

Step-by-step explanation:

Answer:

evaluation : 38.5 38.5   is the answer because you simplify this term

Step-by-step explanation:

Answer:

Step-by-step explanation:

Square root of 2

Answer:

Robert Recorde.

Step-by-step explanation:

Robert Recorde was a Welsh known for vast knowledge and experience in the field of mathematics and physics. He was born in Tenby, Pembrokeshire, Wales during the Medieval period (c. 1512).

Robert Recorde was famously known for his work in the field of mathematics and most especially, the invention of the equal to (=) sign. He introduced it in his book titled "The Whetstone of Witte."

Hence, Robert Recorde was the first english mathematician who first used the modern symbol of equality in 1557.

Answer:

TU

Step-by-step explanation:

Imagine flipping the original trapezoid on its side and eyeballing which side of the now flipped trapezoid looks like the side CD.

Answer:

It's 45.78

Step-by-step explanation:

4 x 10 = 40

5 x 1 = 5

7 x 1/10 = 0.7

8 x 1/100 = 0.08

add them all together and you get 45.78

Answer:

350

Step-by-step explanation:

28% de x es 98

[tex] \frac{28}{100} x = 98 \\ \\ x = 98 \times \frac{100}{28} \\ \\ x = \frac{9800}{28} \\ \\ x = 350[/tex]

Answer:

x = 84°

y = 96°

Step-by-step explanation:

By tangent secant theorem:

[tex]x = \frac{1}{2} \times 168 \degree \\ \\ x =84 \degree \\ \\y = \frac{1}{2} \times (360 - 168) \degree \\ \\ y = \frac{1}{2} \times 192 \degree \\ \\ y = 96 \degree [/tex]

Answer:

1 and 2

Step-by-step explanation:

4 and 10 are even and that means there is 2 in the group and one cause 1 fits into everything

The common denominators of the given fractions  [tex]\frac{1}{4}[/tex] and [tex]\frac{7}{10}[/tex] are 20 and 40.

What is a fraction ?

A fraction is used to represent a portion or component of a whole. The numerator and denominator are its two parts.

The two fractions are given which are : [tex]\frac{1}{4}[/tex] and [tex]\frac{7}{10}[/tex] .

We know that the numerator is the top or upper value in a fraction whereas a denominator is lower or bottom value in a fraction.

Here , the denominators in both the fractions are 4 and 10 respectively.

To find out the common denominators for both the fractions , we need to calculate the common multiples of 4 and 10.

Multiples of 4 are :

4 , 8 , 12 , 16 , 20 , 24 , 28 , 32 , 36 , 40 , 44

Multiples of 10 are :

10 , 20 , 30 , 40 , 50

Common multiples are :

20 and 40

This meant , common denominators will be 20 and 40.

Therefore , the common denominators of the given fractions  [tex]\frac{1}{4}[/tex] and [tex]\frac{7}{10}[/tex] are 20 and 40.

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Answer:

WY = 28

Step-by-step explanation:

Using the pythagorean theorem, we can find out the measures of lenghts WX and YX individually.

VX^2 = VW^2 + WX^2

ZX^2 = ZX^2 + XY^2

Substitute

400 = 256 + WX^2

400 = 144 + XY^2

Simplify

WX^2 = 144

XY^2 = 256

WX = 12

XY = 16

WY = 28