Which arrow would most likely represent the phase change that involves the same amount of energy as arrow 1?
2
3
4
5

Answer:

x=34

y=17

Step-by-step explanation:

Let Paula's score be= x

Let Maria's score be=y

Given:

x=2y

x+y=51

Substitution:

2y+y=51

Formula:

2y+y=51

3y=51

y=17

x=2y

x=2(17)

x=34

Proof:

x+y=51

34+17=51

51=51

Hope this helps ;) ❤❤❤

Answer:

p(t) = 5 × [tex]2^{t}[/tex]

Step-by-step explanation:

Use the points on the curve to evaluate a and b

Using (0, 5 ), then

5 = a[tex]b^{0}[/tex] = a × 1 ( [tex]b^{0}[/tex] = 1 ), thus

a = 5

p(t) = 5[tex]b^{t}[/tex]

Using (1, 10 ), then

10 = 5[tex]b^{1}[/tex] = 5b ( divide both sides by 5 )

b = 2

Thus

p(t) = 5 [tex]2^{t}[/tex]

The exponential function  is

[tex]p(t) = 5(2^{t})[/tex]

An exponential function is defined by the formula [tex]f(x) = ab^{x}[/tex] where the input variable x occurs as an exponent. The exponential curve depends on the exponential function and it depends on the value of the x.

Where,

b>0 and b is not equal to 1.

x is any real number.

If the variable is negative, the function is undefined for -1 < x < 1.

Here,

“x” is a variable

“b” is a constant, which is the base of the function.

and a is also constant.

According to the given question

We have an exponential function

[tex]p(t) = ab^{t} ...(i)[/tex]

And from the given graph,  the two points (0, 5) and (1, 10). So these points must satisfy the exponential function (i)

Substitute  t = 0 and p(t) = 5 in (i)

⇒[tex]5 = a[/tex] or a = 5       ( because,   [tex]b^{0} = 1[/tex] )

Again, substitute a = 5, t = 1 and p(t) = 10 in exponential function [tex]p(t) = ab^{t}[/tex]

⇒ 10 = 5[tex]b^{1}[/tex]

⇒ b = 2

Therefore, the exponential function p(t) is given by

[tex]p(t) = 5(2^{t})[/tex]

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Answer: A: 3/2

Step-by-step explanation:

When we have a line that passes through the points (x1, y1) and (x2, y2), the slope of this line is:

s = (y2 - y1)/(x2 - x1)

In this graph we can see that the line passes through the points:

(0, - 3) and (2, 0)

Then the slope is:

s = (0 - (-3))/(2 -0) = 3/2

Then the correct option is A.

The gradient of the line shown above is  A:  [tex]\frac{3}{2}[/tex]

Slope of the line that passes through two points [tex](x_1, y_1)[/tex] and [tex](x_2, y_2)[/tex] is :

slope  [tex]=\frac{(y_2 - y_1)}{(x_2 - x_1)}[/tex]

Now, from the given graph we can see that the line passes through the points:

(0, - 3) and (2, 0)

The slope is:

[tex]s = \frac{(0 - (-3))}{(2 -0)} \\=\frac{3}{2}[/tex]

Therefore the correct option is A.

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Answer:

34.98 square units.

Step-by-step explanation:

It is given that DEF is a triangle, EF=10, DF=7 and DE=12.

Information of sides of triangle is relevant to calculating area.

We should use Heron's formula.

According to Heron's formula, the area of triangle is

[tex]A=\sqrt{s(s-a)(s-b)(s-c)}[/tex]

where,  

[tex]s=\dfrac{a+b+c}{2}[/tex]

For triangle DEF, let a=10, b=7 and c=12.

Now,

[tex]s=\dfrac{10+7+12}{2}=\dfrac{29}{2}=14.5[/tex]

Area of triangle is

[tex]A=\sqrt{14.5(14.5-10)(14.5-7)(14.5-12)}[/tex]

[tex]A=\sqrt{14.5(4.5)(7.5)(2.5)}[/tex]

[tex]A=\sqrt{1223.4375}[/tex]

[tex]A=34.977671[/tex]

[tex]A\approx 34.98[/tex]

Therefore, the area of triangle DEF is 34.98 square units.

Answer:

SSS, Heron's formula, and 34.98 square units

Step-by-step explanation:

Answer:

27.2

Step-by-step explanation:

The mean age of 8 women in the office is 20 years old

The mean age of 12 men in an office is 32 years old

The first step is to calculate the mean of the both the men and women in the office, that way we will be able to know the sum.

The mean of the women can be calculated by taking the sum of the value and dividing by the number

= 20+20+20+20+20+20+20+20/8

= 160/8

= 20

The mean of the men can be calculated by taking the sum of the values and dividing by the number

=32+32+32+32+32+32+32+32+32+32+32+32/12

= 384/12

= 32

Therefore, to find the mean age of people in the office we add the sum of both the men and women and divide by the total number of people in the office

= 384+160/20

= 544/20

= 27.2

Hence the mean age of people in the office is 27.2

Answer:

a) Yes. y=-4x+2. b) No.

Step-by-step explanation:

a) For every section of the graph as x goes up 1, y does down 4. It has a proportional relationship and you can use the rise and run found to do rise/run and get a slope of -4 and when x is at 0, y is at 2, giving you a y-intercept of 2.

b) There is no proportional relationship using addition and subtraction so the graphed line would not be straight.

using y2-y1 over x2-x1 the first table is 10-14 over -2--3 which would be -4 over 1

The next one would be 4 over -1  

Not 100 percent sure

Answer:

-2/3

Step-by-step explanation:

Step 1: Write out expression

1 2/3 - 2 1/3

Step 2: Convert to improper fractions

5/3 - 7/3

Step 3: Subtract

-2/3

Answer:

[tex]\frac{-2}{3}[/tex]

Step-by-step explanation:

[tex]1 \frac{2}{3} - 2\frac{1}{3} \\\\[/tex]

[tex]\frac{5}{3} - \frac{7}{3} = \frac{-2}{3}[/tex]

Hope this helps! :)

Answer: Option  A, & B

(A) b = 5 StartRoot 3 EndRoot    b= 5[tex]\sqrt{} 3[/tex]

(B) b = Negative 5 StartRoot 5 Endroot  b= -5[tex]\sqrt{} 3[/tex]

Step-by-step explanation:

Answer:

  85.9 m

Step-by-step explanation:

The law of sines can help figure this.

The remaining angle in the triangle is ...

  180° -75° -68° = 37°

This is the angle opposite the leg from the surveyor to the second marker. Referencing the attachment, we have ...

  b/sin(B) = c/sin(C)

  b = sin(B)·c/sin(C) = 132.3·sin(37°)/sin(68°) ≈ 85.873 . . . meters

The surveyor is about 85.9 meters from the second marker.

Answer:

B. SAS

Step-by-step explanation:

the line that joins the 2 triangles is considered a side, if you put an angle in between 2 sides its SAS.

Answer:

A

Step-by-step explanation:

the equation go from a negative Y value, to positive. The answer is A because it goes from (-2,-2), towards (0,1) increasing the Y value by 3, and the X by 2

Answer:

L'option B est correcte. Le chiffre 0 représente l'année de naissance de Gabriel.

Option B is correct.

The number 0 represents the year when Gabriel was born.

Step-by-step explanation:

Il a été déclaré dans la question que Gabriel a enregistré des événements tge dans leur vie par rapport à quand il est entré en scène. Avec des exemples notables donnés pour illustrer que les nombres négatifs indiquent les temps avant la naissance de Gabriel et les nombres positifs indiquent les années après la naissance de Gabriel.

Par conséquent, il est simple de voir que l'année 0 en termes relatifs à la naissance de Gabriel représentera l'année de naissance de Gabriel.

J'espère que cela t'aides!!!

English Translation

Gabriel notes on a timeline important family events. It uses positive or negative integers. To write a date before his birth, he uses negative numbers and for a date after his birth, positive numbers. For example, Gabriel's mother received a medal in the year -20 and Gabriel's sister was born in the year + 5. What does the year 0 represent? Answer:

A) The year when Gabriel's sister was born

B) The year when Gabriel was born

C) The year when Gabriel's mother received a medal

Solution

It was stated in the question that Gabriel recorded tge events in their lives relative to when he came into the picture. With noticeable examples given to illustrate that the negative numbers indicate times before Gabriel's birth and positive numbers indicate years after Gabriel's birth.

Hence, it is straighforward to see that the year 0 in relative terms to Gabriel's birth will represent the year in which Gabriel was born.

Hope this Helps!!!

Answer:

-22

Step-by-step explanation:

set y equal to zero and solve like a regular singular variable equation

[tex]\huge\textbf{Hey there!}[/tex]

[tex]\huge\textsf{Question \#1.}[/tex]

[tex]\mathbf{-8\div2 + 12 \times9 - 4\times6}\\\mathbf{= -4 + 12\times9 - 4\times6}\\\mathbf{= -4 + 108 - 4\times6}\\\mathbf{= 104 - 4\times6}\\\mathbf{= 104 - 24}\\\mathbf{= 80}[/tex]

[tex]\huge\textsf{Therefore, your answer is: \boxed{\mathsf{80}}}\huge\checkmark[/tex]

[tex]\huge\textsf{Question \#2.}[/tex]

[tex]\mathbf{56 + 7\times2}\\\mathbf{= 56 + 14}\\\mathbf{= 70}[/tex]

[tex]\huge\text{Therefore, your answer is: \boxed{\mathsf{70}}}\huge\checkmark[/tex]

[tex]\huge\textbf{Good luck on your assignment \& enjoy}\\\huge\textbf{your day!}[/tex]

Answer:

The 2 pink ones

explanation: I got this right

The two pink diagrams in the given figure are parallelograms.

A unique kind of parallelogram created with parallel lines is called a parallelogram.

A parallelogram can have whatever angle between its neighboring sides, but for it to be a parallelogram, it's opposite sides must be parallel. If a quadrilateral's opposite sides are parallel and congruent, it will be a parallelogram.

So a rectangle both with pairs of separate sides being parallel and equal is known as a parallelogram.

The word "parallelogram" is a translation of the Greek term "parallelogrammon," which means "confined by line segments." As a result, a quadrilateral that is surrounded by parallel lines is called a parallelogram.

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Answer:

A is the answer.

Step-by-step explanation:

In option A, there are 9 red boxes and 3 blue boxes

If we simlify,

9 : 3 = 3 : 1 = 1 : 1/3

Hope you understand

Answer: Grid A

Step-by-step explanation:

The ratio red:blue is simplified to 1:1/3.

To make things easier, we can expand it so that both sides add up to 12(total number of squares in a grid).

We can multiply both sides by 9.

1 x 9= 9

1/3 x 9= 3

Now the ratio red:blue is 9:3, which adds up to 12.

Grid A is the only grid where there are 9 red squares and 3 blue squares.

Answer:

Step-by-step explanation:

La vaca

El pato

Answer:

L

Step-by-step explanation:

You need to find a point with a large x-coordinate and small y-coordinate or the reverse. Look at point L, (8, 1).

8 - 1 = 7

That is the largest difference between the coordinates of the points shown in the graph.

Answer:

0.444

Step-by-step explanation:

The total number of ties is 9, and there are 4 red ones.

So, the probability of choosing a red tie is 4/9.

4/9 = 0.444 as a decimal

Answer:

A)  [tex]T=\frac{-20}{4}[/tex]

B) T = -5 °C

Step-by-step explanation:

A) Let T be the change in temperature of the week. T is determined as the total temperature change (-20°C) divided by the number of weeks that have passed (4 weeks). The expression is:

[tex]T=\frac{-20}{4}[/tex]

B) In order to simplify the expression, simply perform the division.

[tex]T=\frac{-20}{4}\\T=-5^oC[/tex]

This means that the temperature has dropped by 5 degrees each week.

Answer: y = 6

Step-by-step explanation:

A square's area can be done by using s^2, where s is y in this case.  Because there are 5 squares, the area of the figure is 5y^2.  Because the area is also 180cm, 5y^2=180.

Then divide both sides of the equation by 5 to get y^2 = 36.  Then square root both sides of the equation to get y = 6.

Hope it helps <3

Answer:

10x = 10.

Step-by-step explanation:

The equation will contain the  x variable only.

Answer:

11.25

Step-by-step explanation:

45 ÷ 4 = 11.25

Answer:11.25

Step-by-step explanation:

4 can fit into 44 11.25

Answer:

[tex]\frac{h-12-2}{4} = x[/tex]  & a² = c² - b²

Step-by-step explanation:

h = 4 (x + 3y) + 2

Expand brackets

h = 4x + 12y + 2

Subtract 12y & 2 from both sides

h - 12y - 2 = 4x

Divide both sides by 4

[tex]\frac{h-12-2}{4} = x[/tex]

a² = c² - b²

Then √ both sides to lose the ²

Answer:

17.7

Step-by-step explanation:

Area of a triangle is 1/2×L×B

since a degree is given we are to multiply it with it and we are to use SIN

so 1/2×sin65×4.5×13.1

sin65= 0.6018

so 1/2×0.6018×4.5×13.1

=35.47/2

=17.7

The area of the triangle is 17.7 square inches option (A) 17.7 is correct.

In terms of geometry, the triangle is a three-sided polygon with three edges and three vertices. The triangle's interior angles add up to 180°.

We know,

The area of the triangle:

A = ab(sinx)/2

a = 13.1 cm, b = 4.5 cm, x = 37 degrees

A = 13.1×4.5(sin37)/2

A = 29.475sin37

A = 17.7 square inches

Thus, the area of the triangle is 17.7 square inches option (A) 17.7 is correct.

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Answer:2a√(15a)

Step-by-step explanation:√(60a)=√(2×2×3×5×a×a×a)=2a√(15a)

Answer:

9

Step-by-step explanation:

take the x and drop it down after that the - needs to become the postive with takes multiple and so then after tyat it needs to add the extra 1 bc if the 1

Answer:

$5522.43

Step-by-step explanation:

The amount in an account for a principal P saved at compound interest for a duration of n years compounded with period k at an annual interest rate of r% is calculated using the formula:

[tex]A(n)=P(1+\frac{r}{k})^{nk}[/tex]

In this case:

Therefore, the amount is:

[tex]A(n)=5000(1+\frac{0.05}{4})^{4*2}\\=5000(1+0.0125)^{8}\\=5000(1.0125)^{8}\\=\$5522.43[/tex]

The amount of money in the account at the end of the two years is $5522.43.

Answer:

Greater hours worked, fewer hours spent cycling.

Step-by-step explanation:

Answer:

Greater hours worked, fewer hours spent cycling.

Step-by-step explanation:

:)