which term nest describes a figure formed by three segments connecting three noncollinear points?

Answer:

198

Step-by-step explanation:

Answer:

x=4

Step-by-step explanation:

We can use the leg rule

hyp          leg

------- =  -----------------

leg            part

2+6          x

------- =  -----------------

x            2

Using cross products

8*2 = x^2

16 =x^2

Take the square root of each side

4 =x

Answer:

2m/s south

Step-by-step explanation:

p = mv

Where p is the momentum, m is the mass, while v is the velocity.

Given that

m = 25kg

v = ?

p = 50kgm/s

Substituting the values into the formula.

50kgm/s = 25×v

50kgm/s = 25v

Divide both sides by 25

v = 50/25

v = 2m/s

From the option list, the answer is

2m/s south

Answer:  z = 81

Step-by-step explanation:

TW is the midsegment of ΔSUV   ⇒   UV = 2TW

Given: UV = z - 51, TW = z - 61

z - 51 = 2(z - 61)

z - 51 = 2z - 132

   -51 =  z  - 132

    81 = z

Answer:

stratified random sampling

Step-by-step explanation:

Answer:  125 miles

if you do the math you will get the same answer.

Answer:

800 miles

Step-by-step explanation:

Answer:

$147

Step-by-step explanation:

$2.00+$10.00+$30.00+$100.00+$5.00

=$147

El dinero total que tenía será de $ 147.00

Dado lo siguiente

La cantidad tenía inicialmente = $ 2.00

La cantidad dada por mamá = $ 10.00

La cantidad recibida de papá = $ 30.00

La cantidad recibida del tío y la tía = $ 100.00

Si tuviera otros $ 5,00

La cantidad total que tenía será la suma de todo el dinero que tenía y los recaudados como se muestra:

Dinero total que tenía = $ 2,00 + $ 10,00 + $ 30,00 + $ 100,00 + $ 5,00

Dinero total que tenía = $ 147.00

Por lo tanto, el dinero total que tenía será de $ 147.00.

Obtenga más información aquí: https://brainly.com/question/22309443

Answer:

The answer is option D.

Step-by-step explanation:

f(x) = x² + 2x

g(x) = 2x

To find (ƒ ∘ g)(2) first find (ƒ ∘ g)

To find (ƒ ∘ g) wherever you see x in f(x) replace it with g(x)

That's

(ƒ ∘ g) = (2x)² + 2(2x)

= 4x² + 4x

Substitute 2 into the expression

That's

(ƒ ∘ g)(2) = 4(2)² + 4(2)

= 4(4) + 8

= 16 + 8

= 24

Hope this helps you.

Answer:

1.7

Step-by-step explanation:

Answer: The answer would be the second one.

Step-by-step explanation:

It is hard to explain but, I made and equation that would go with the problem which would be 2 points for every goal plus the free goals for every goal. (2g+f) and in then end it should all equal 15 so the equation so far would be 2g+f =15. This then leave you with three answers left. then I had plugged in a random number to solve it. g and f exacly should be the same number because for every goal you get a free point so if you get one goal then one extra point, if three goals then three extra points. so if you plug in 5 then 2 times 5 plus 5 is 15. The similarities between g and f is if you subtract them it is always going to be zero. Which makes the second answer correct for this problem.

Answer:

If the amount of dough for a small pizza is S, for a large pizza is L and for a medium pizza is M, we have the equations:

M = (3/2)*S

L = (5/2)*S

L = M + S

First, we can convine the second and third equation and get:

(5/2)*S = M + S

and now we can replace M by the first equation:

(5/2)S = (3/2)*S + S = 5/2 S

so we have a trivial equation, S can be any number, this means that the system of equation is not well constructed.

For example, if S = 1Kg then:

M = (3/2)kg

L = (5/2)kg = (3/2)kg + 1 kg = 5/2kg

Answer:

The equation for a small pizza is, 3/2s + s = 5/2s.

Next, to combine like terms the equation is, 5/2s = 5/2s.

After that, for opposite operations you write, 5/2s - 5/2s = 0.

When you combine the like terms for the last equation, you come up with,

0 = 0.

The small sized pizza does not have a specific size and is no longer part of the equation. Its' size can be anything, and the other sized pizzas will equal their equation towards the small pizza, still representing their same value.

Step-by-step explanation:

cheese + sauce + dough + lots of meat + fire = happiness/pizza

(HopE ThIs HeLPs) ‍

Answer:

15 g.

Step-by-step explanation:

The following data were obtained from the question:

Heat required (Q) = 350 J

Initial temperature (T1) = 10.0 °C

Final temperature (T2) = 30.0 °C

Specific heat capacity (C) = 1.2 J/g°C

Mass (M) =..?

Next, we shall determine the change in temperature.

This is illustrated below:

Initial temperature (T1) = 10.0 °C

Final temperature (T2) = 30.0 °C

Change in temperature (ΔT) =..?

Change in temperature (ΔT) = T2 – T1

Change in temperature (ΔT) = 30 – 10

Change in temperature (ΔT) = 20 °C

Finally, we shall determine the mass of the substance as follow:

Heat required (Q) = 350 J

Specific heat capacity (C) = 1.2 J/g°C

Change in temperature (ΔT) = 20 °C

Mass (M) =.?

Q = MCΔT

350 = M x 1.2 x 20

Divide both side by 1.2 x 20

M = 350 / (1.2 x 20)

M = 14.5 ≈ 15 g

Therefore, the mass of the substance is

15 g.

Answer:

15 g

Step-by-step explanation:

The answer is for this question is c

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

=10x+2

This is a polynomial

So the answer is c

Answer:

4.5 < T < 5.5

Step-by-step explanation:

Nearest 5 minutes could be 4.5 to 5.49

The computation of the limits in between is shown below:

Now Multiply these numbers by 30

4.5 × 30 = 135

5.4 × 30 = 162

5.5 × 30 = 165

We can easily round 5.5 would to 6, since we cannot use 5.5.  

Therefore  

135 < T < 162

Therefore If the correct answer is  135 < T < 165

So it must be 4.5 < T < 5.5

Answer:

The answer is below

Step-by-step explanation:

The possible ways of choosing r items from a total of n item is given as C(n,r) = [tex]\frac{n!}{(n-r)!r!}[/tex]

Suppose that 6 female and 6 male applicants have been successfully screened for 5 positions.

Since they are 12 finalists and only 5 positions, the total number of possible outcomes is:

[tex]Total\ number\ of \ outcome (n(s))=C(12,5)=\frac{12!}{(12-5)!5!} =792[/tex]

A)  3 females and 2​ males

The possible ways of choosing 3 females and 2​ males is given as:

[tex]n(e)=C(6,3)*C(6,2) = \frac{6!}{(6-3)!3!}* \frac{6!}{(6-2)!2!}=20*15=300[/tex]

probability of selecting 3 females and 2​ males P(E) = [tex]\frac{n(e)}{n(s)}=\frac{300}{792}=0.379[/tex]

B)  4 females and 1​ males

The possible ways of choosing 4 females and 1 males is given as:

[tex]n(e)=C(6,4)*C(6,1) = \frac{6!}{(6-4)!4!}* \frac{6!}{(6-1)!1!}=15*6=90[/tex]

probability of selecting 4 females and 1 males P(E) = [tex]\frac{n(e)}{n(s)}=\frac{90}{792}=0.1136[/tex]

C)  5 females

The possible ways of choosing 5 females  is given as:

[tex]n(f)=C(6,5) = \frac{6!}{(6-5)!5!}=6[/tex]

probability of selecting 5 females = [tex]\frac{n(f)}{n(s)}=\frac{6}{792}[/tex]

​(D) At least 4​ females

This can be done by choosing 4 females out of 6 females i.e. C(6,4) , 5 females out of 6 females i.e C(6,5) and 1 male out of six male i.e (6,1)

The possible ways of choosing atleast 4 females  is given as:

[tex]n(h)=C(6,5)*C(6,4)*C(6,1)= \frac{6!}{(6-5)!5!}* \frac{6!}{(6-4)!4!}* \frac{6!}{(6-1)!1!}=6*15*6=540[/tex]

probability of selecting atleast 4 females = [tex]\frac{n(h)}{n(s)}=\frac{540}{792}[/tex]

Answer:

-1,3i,-3i

Step-by-step explanation:

X^3+x^2=-9x-9

x^3+x^2+9x+9=0

x^2(x+1)+9(x+1)=0 factorize by taking x+1 common factor

(x+1)(x^2+9)=0

x+1=0 then x=-1

(x^2+9)=0 then x=+ 0r - 3i

Answer:  -1 is the correct answer

Step-by-step explanation:

Answer:

4096

Step-by-step explanation:

used a calculator but u always do indicies first due to bidmas

Answer:

4096

Step-by-step explanation:

The little two on top of the 32 means squared or that we need to multiply 32 by itself.

So 32*32 equals 1024

Then we multiply it by 4 to give us 4096.

Answer:

A=9675.299

Step-by-step explanation:

A=p(1+r)^t

A compound amount

P is the principle amount invested

r : rate ( semiannually is 0.5 )

t=years ( semiannually 12*2=24)

A=3000(1+0.10/2)^24

A=9675.299

Answer:

Two real world situations are shown below.

Step-by-step explanation:

Initial population of a certain bacteria is 1 thousand and the population doubles in each hour. So, population of bacteria (in thousands) after x hours is

[tex]f(x)=1(2)^x[/tex]

[tex]f(x)=(2)^x[/tex]

A person invests 1 lakh rupees in shares and the amount is twice at the end of each year. So, total amount (in lakhs) after x years is

[tex]f(x)=1(2)^x[/tex]

[tex]f(x)=(2)^x[/tex]

Answer: Only C

Step-by-step explanation:

Equation C simplified to 0 = 0, meaning x has no effect on the equation and cancels out.  Thus, it can be any value.

Answer:

They are congruent

Step-by-step explanation:

Answer:

1) The length of the third side is 5.607 units

2) The sum of the numbers from 1 to 100 is 5050

3) For the x-axis, foci: ((√15/28), 0) and (-(√15/28), 0)

For the y-axis, foci: (0, (√15/28)) and (0, -(√15/28))

Step-by-step explanation:

1) When two sides of the triangle are equal to 4 then the triangle is an isosceles triangle

Given that the included angle (the angle between the two sides) is 89°, we have;

The other two base angles are equal to {180 - 89)/2 = 91/2 = 45.5°

Therefore, we have from cosine rule;

a² = b² + c² - 2·b·c·cos(A)

We note that the angle opposite the third side is the included angle 89°, therefore, when we put a as the third side in the above equation, we have;

a² = 4² + 4² - 2×4×4×cos(89°)

a² = 31.44

a = 5.607

The length of the third side is 5.607 units

2) The numbers 1 to 100 form an arithmetic series with the first term, a = 1 and the common difference, d = 1 with the number of terms n = 100

The sum of an arithmetic progression, Sₙ, is given as follows;

[tex]S_n = \dfrac{n}{2}\cdot (2 \cdot a + (n - 1) d)[/tex]

Therefore, by plugging in the values, we have;

Sₙ = 100/2*(2*1 + (100 - 1)*1) = 100/2*(101) = 5050

The sum of the numbers from 1 to 100 is 5050

3) The foci of an ellipse 7·x² + 8·y² = 30 is found as follows;

Dividing both sides of the equation by 30 gives;

7/30·x² + 8/30·y² = 30/30

7/30·x² + 8/30·y² = 30/30

7/30·x² + 4/15·y² = 1

Which is of the form;

x²/a² + y²/b² = 1

For the x-axis we have

c² = a² - b²

c² = 30/7 - 15/4 = 15/28

h = 0, k = 0

Foci: ((√15/28), 0) and (-(√15/28), 0)

For the y-axis, we have;

x²/b² + y²/a² = 1

The foci are then (0, (√15/28)) and (0, -(√15/28)).

Answer:

Area of apothem is 8.33 inches

Step-by-step explanation:

Mathematically,

Area of hexagon = 1/2 * apothem * number of sides * length of side

Area = 50 in square

apothem = ?

number of sides = 6

Length of side = 2 inches

Substituting the values, we have;

50 = 1/2 * A * 6 * 2

50 = 6A

A = 50/6

A = 8.33 inches

Answer:

linear: y = x + 1

non-linear: y = x² + 1

Step-by-step explanation:

In a linear relationship, from one pair (x1,y1) to other one (x2,y2) that satisfies the equation, there is a constant k, so that k = (y2 - y1)/(x2 - x1).

Equation: y = x + 1

Computing some points as an example:

x | y

0 | 1

1  | 2

2 | 3

3 | 4

(2-1)/(1-0) = (3-2)/(2-1) = (4-3)/(3-2) = 1. Therefore, the equation is linear.

Equation: y = x² + 1

Computing some points as an example:

x | y

0 | 1

1  | 2

2 | 5

3 | 10

(2-1)/(1-0) ≠ (5-2)/(2-1) ≠ (10-5)/(3-2). Therefore, the equation is not linear.

Answer:

Step-by-step explanation:

Dilation centered at the origin multiplies every coordinate value by the scale factor.

  K(1, -1) ⇒ K' = 4(1, -1) = (4, -4)

  L(2, -1) ⇒ L' = 4(2, -1) = (8, -4)

  M(2, 2) ⇒ M' = 4(2, 2) = (8, 8)

  N(1, 2) ⇒ N' = 4(1, 2) = (4, 8)

Answer:

The angles of this would be x=30

Step-by-step explanation:

If they are proportional to 1:2:3, then we can do 2 things.

They are just cong. ratios. This means that we can have a variable x to the 1,2 and 3.

Second, the angles of an triangle equal 180.

Adding 1 + 2 =

1x + 2x + 3x = 180

6x = 180

x = 30

Now the largest angle would be 3x. Thus 3*30 = 90. You have a right triangle.

Answer: 9 Apples

Step-by-step explanation:

Given the following :

Total number of bags = 12

Mean of the distribution(m) = 8

Number of apples (x):

6 - - - - 7 - - - - 8 - - - - 9 - - - - 10

Frequency (f) :

1 - - - - 4 - - - - 2 - - - - 3 - - - - 1

Therefore :

Let number of apples in the 12th bag = y

Frequency of 12th bag : (12 - 11) = 1

Mean of distribution(m) :

Sum of ( f * x) / sum of f

Sum of (f * x) = (6*1)+(7*4)+(8*2)+(9*3)+(10*1)+(y*1)

Sum of (f * x) = (6+28+16+27+10+y) = 87 + y

Sum of f = 12

From :

m = Sum of ( f * x) / sum of f

8 = (87 + y) / 12

87 + y = 12 * 8

87 + y = 96

y = 96 - 87

y = 9

Number of apples in 12th bag is 9 apples

Answer:

It 7 hours and 5 minutes to complete the race because it would be 8 times 50 which equals 400 and 400 plus 250 which equals 650 and 650 divided by 60 is 7.5 which is 7 hours and 5 minutes I believe so 7.5 is the answer

Hope it helps :D

Answer: 14

Step-by-step explanation:

P(6)- Q(2) = 4

Q(5) - R(2) = 3

R(6) - S(2) = 4

S(5) - P(2) = 3

4 + 3 + 4 + 3 = 14

Brainliest is appericiated!

Answer:

Perimeter = 14

Step-by-step explanation:

to find the perimeter first find the distance between the two points :

d=√((x2-x1)²+(y2-y1)²)

PQ:(2,2)(6,2)

d=√(6-2)^2+(2-2)^2

= √16=4

PQ=4

RS: (6,5),(2,5)

d=√(6-2)^2+(5-5)^2

d=4

RS=4

QR:(6,2),(6,5)

QR=3

SP(2,5),(2,2)

SP=3

perimeter=2length+2width

P=2l+2w

p=2(4)+2(3)

p=8+6=14

Answer:

Always the same variable.

Step-by-step explanation:

When the question says "x is always constant", it means that the x variable does not change, and it is always the same number.

Answer:

Step-by-step explanation:

In Algebra, a constant is a number on its own, or sometimes a letter such as a, b or c to stand for a fixed number. Example: in "x + 5 = 9", 5 and 9 are constants.