What is the equation of the line that passes through the point (-4, -8) and haves a slope of 4

Answers

Answer 1

Answer:

y=4x+8

Step-by-step explanation:

y-y1=m(x-x1)

y-(-8)=4(x-(-4))

y+8=4(x+4)

y=4x+16-8

y=4x+8


Related Questions

How would you graph the solution set of {x}{6}≤ -18?

closed circle on -3 and shaded to the right
closed circle on -3 and shaded to the left
closed circle on -108 and shaded to the right
closed circle on -108 and shaded to the left

Answers

Answer:

Step-by-step explanation:

6x ≤ -18.....divide both sides by 6

x ≤ -18 / 6

x ≤ -3

ok...so ur gonna have a closed circle because the inequality contains an equal sign......ur gonna put that closed circle on -3 and shading will go to the left because it is less then

closed circle on -3, shaded to the left <==

Answer:

closed circle on -3 and shaded to the left

Hope it Helped <3

Select True or false for each statement

Answers

Answer:

False

True

False

False

Step-by-step explanation:

1. We have to get the sum as follows :

[tex]3\frac{4}{9} + 4\frac{6}{9}[/tex]

= [tex]\frac{31}{9} + \frac{42}{9}[/tex]

= [tex]\frac{31 + 42}{9}[/tex]

= [tex]\frac{73}{9}[/tex]

= [tex]8\frac{1}{9} \neq 7\frac{1}{9}[/tex]

So, this is false.

2. We have to get the sum as follows :

[tex]4\frac{5}{6} + 1\frac{3}{6}[/tex]

= [tex]\frac{29}{6} + \frac{9}{6}[/tex]

= [tex]\frac{29 + 9}{6}[/tex]

= [tex]\frac{38}{6}[/tex]

= [tex]6\frac{2}{6}[/tex]

So, this is true.

3. We have to get the difference as follows :

[tex]4\frac{5}{8} - 2\frac{4}{8}[/tex]

= [tex]\frac{37}{8} - \frac{20}{8}[/tex]

= [tex]\frac{37 - 20}{8}[/tex]

= [tex]\frac{17}{8}[/tex]

= [tex]2\frac{1}{8} \neq 2\frac{3}{8}[/tex]

So, this is false.

4. We have to get the difference as follows :

[tex]7\frac{5}{8} - 4\frac{2}{8}[/tex]

= [tex]\frac{61}{8} - \frac{34}{8}[/tex]

= [tex]\frac{61 - 34}{8}[/tex]

= [tex]\frac{27}{8}[/tex]

= [tex]3\frac{3}{8} \neq 3[/tex]

So, this is also false. (Answer)

What is the slope of the line that passes through (-3, 6) and (6, 8)? Type a numerical answer in the space provided. If necessary, use the / key for a fraction bar. Do not include spaces in your answer.

a0

Answers

2/9

Step-by-step explanation:

Slope in calculated as the ratio of change in y values divided by the change in x values

slope, m=Δy/Δx

Δy=8-6=2

Δx=6--3=9

m=2/9

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Keywords : slope, line, passes

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Solve the equation . 3(x+4.5)=36

Answers

3x+13.5=36
3x=22.5
x=7.5

Which of the following expressions is equal to - x^2 - 4 ?
A. (-x-2i)(x+2i)
B. (-x - 2i)(x - 2i)
C. (x+2i)(x-2i)
D. (-x+2i)(x-2i)

Answers

The correct answer is B I believe

Final answer:

The expression equal to [tex]-x^2[/tex] - 4 is formed by multiplying two complex conjugates. Option C: (x+2i)(x-2i) correctly expands to [tex]-x^2[/tex] - 4, since the product of the imaginary parts (2i × -2i) equals -4. The correct option is C: (x+2i)(x-2i).

Explanation:

The expression [tex]-x^2[/tex] - 4 can be created by multiplying two complex numbers that, when multiplied, give a negative real part and a positive imaginary part squared. Using the fact that (i)(i) = -1, we can deduce that the product of complex conjugates will give us the desired expression because the imaginary parts will cancel each other out leaving us with a purely real number.

When we multiply two complex conjugates, the general form is (a+bi)(a-bi) = [tex]a^2 - (bi)^2 = a^2 + b^2[/tex], since [tex](bi)^2[/tex] equates to [tex]-b^2[/tex] because [tex]i^2[/tex] = -1. Applying this to our problem, we are looking for 2 numbers whose square equals 4. Since 2i × -2i = -4, we can construct the two factors as (x+2i) and (x-2i), which corresponds to option C: (x+2i)(x-2i).

What is the graph for the above relationship?



A. 1st Graph

B. 2nd Graph

C. 3rd Graph

D. 4th Graph

Answers

B. 2nd Graph should be the answer

what is 44/12 as a simplified mixed fraction

Answers

3 67/100

3 will stay a whole number so you put that as the whole number. 67 is 67 percent of a whole. so you put it over 100.

The answer is 11/3 as a mixed fraction that is 3 2/3 hope this helps

7. Bobby buys 10 pounds seafood for $30. It
contains shrimp that sells for $5 per pound and
crawfish that sells $1 a pound. How many of each
kind were purchased in the mixture?​

Answers

Answer:

5 pounds of shrimp and 5 pounds of crawfish were purchased in the mixture.                                          

Step-by-step explanation:

We are given the following in the question:

Bobby buys 10 pounds seafood for $30.

Let x pounds of shrimp be purchased and y pounds of crawfish.

Thus, we can write,

[tex]x + y =10[/tex]

Cost of shrimp = $5 per pound

Cost of crawfish = $1 per pound

Total money spent = $30

Thus, we can write the equation,

[tex]5x + y = 30[/tex]

Solving the two equation by elimination method,

[tex]5x + y-(x+y) = 30-10\\4x = 20\\x = 5\\y = 10 - x = 10 - 5 = 5[/tex]

Thus, 5 pounds of shrimp and 5 pounds of crawfish were purchased in the mixture.

PLEASE HELP ASAP Which equation BEST models the data shown in the scatterplot below?

A. y=3x+10

B. y=3x+60

C. y=4x+5

D. y=4x+35

Answers

Answer:

Option D. y=4x+35

Step-by-step explanation:

From the graph take the points (5,50) and (50,250)

Find the slope

The formula to calculate the slope between two points is equal to

[tex]m=\frac{y2-y1}{x2-x1}[/tex]

substitute the values

[tex]m=\frac{250-50}{50-5}[/tex]

[tex]m=\frac{200}{45}=4.4[/tex]

Find the equation of the line in slope intercept form

[tex]y=mx+b[/tex]

we have

[tex]m=4.4\\point\ (5,50)[/tex]

substitute

[tex]50=4.4(5)+b[/tex]

solve for b

[tex]b=50-22\\b=28[/tex]

substitute

[tex]y=4.4x+28[/tex]

therefore

The equation that BEST models the data is

[tex]y=4x+35[/tex]

5. Chris pays a fee if her bank balance falls below $10 on the statement
date. Prior to the statement date, her balance was -$3.46. Then, Chris made a deposit, d, in ample time, so she did not have to pay a fee.
a. Write an inequality to represent this situation.

Answers

Answer:

d ≥ 13.46

Step-by-step explanation:

Chris has to pay low balance fee if her bank balance falls below $10.

Her balance was -$3.46 before the statement date.

Now, Chris has to deposit a minimum amount of $(3.46 + 10) = $13.46 to her bank account and then only she does not need to pay a fee.

If the deposit amount is d, then the inequality to represent the situation is

d ≥ 13.46 (Answer)

Final answer:

Chris needs to deposit at least $13.46 to prevent a bank fee because her balance was -$3.46. By adding $3.46 to the minimum required balance of $10, we determine the least deposit amount through the inequality d ≥ 13.46.

Explanation:

To solve the situation where Chris avoids a fee by making a deposit, d, we must write an inequality that reflects her balance being above $10 after the deposit. Originally, her balance was -$3.46. Therefore, after deposit d, her new balance must be equal to or greater than $10 to prevent the fee. The inequality representing this situation is:

d - 3.46 ≥ 10

When you add $3.46 to both sides to isolate d, the inequality becomes:

d ≥ 13.46

This inequality indicates that Chris's deposit must be at least $13.46 to avoid the bank fee.

Find the first four terms of the arithmetic sequence when a1 =3 and d=2

A. 2,5,8,11
B. 3,5,7,9
C.1,3,5,7
D.3,6,12,24

Answers

Answer:

b.

Step-by-step explanation:

Solve:
(12 − 4) − (6 ÷ 2) − (2 x 2) =

Answers

Answer:

1

Step-by-step explanation:

(12 - 4) - (6 / 2) - (2 * 2)

(8) - (3) - (4)

1

Answer:

1

Step-by-step explanation:

go to google calculator

What is the equation of a circle with center (-7, -3) and radius 2?

Answers

Answer:

B = (x + 7)^2 + (y +3)^2 = 4

Step-by-step explanation:

Final answer:

The equation of a circle with center (-7, -3) and radius 2 is (x + 7)² + (y + 3)² = 4.

Explanation:

The equation of a circle with a center at point (-7, -3) and a radius of 2 can be written based on the standard form of the circle equation (x - h)² + (y - k)² = r², where (h,k) is the center of the circle and r is the radius.

Plugging in the values given in the question, the equation simplifies to: (x + 7)² + (y + 3)² = 4.

solve using sublimation

y=8x+13
-4x-5y=23​

Answers

Answer:

x=-2, y=-3. (-2, -3).

Step-by-step explanation:

y=8x+13

-4x-5y=23

----------------

-4x-5(8x+13)=23

-4x-40x-65=23

-44x-65=23

-44x=23+65

-44x=88

x=88/-44

x=-2

y=8(-2)+13=-16+13=-3

please solve 1/4w+5=w/3+10

Answers

Answer:

-60

Step-by-step explanation:

1/4w + 5 = w/3 + 10

Collect like terms

1/4 w - 1/3 w = 10 - 5

Find lcm of 4 &3 = 12 and subtract

-1/12 w = 5

Multiply both sides by 12

-w = 5 x 12

-.w = 60

Divide both sides by -1

w = -60

I hope this was helpful, Please mark as brainliest

5x-3=21-x please someone answer ​

Answers

Answer:

X=4 Hope it helps Lol

Step-by-step explanation:

  5*x-3-(21-x)=0

Step by step solution :

Step  1  :

Pulling out like terms :

1.1     Pull out like factors :

  6x - 24  =   6 • (x - 4)

Equation at the end of step  1  :

Step  2  :

Equations which are never true :

2.1      Solve :    6   =  0

This equation has no solution.

A a non-zero constant never equals zero.

Solving a Single Variable Equation :

2.2      Solve  :    x-4 = 0

Add  4  to both sides of the equation :

                     x = 4

One solution was found :

                  x = 4

Answer:

X=4

Step-by-step explanation:

The first thing you would do is to make it so there is only x's on one side. To do this add the x on both sidesThis would make it so you have 6x-3=21Plus the 3 on both sides This would give you 6x=24Do 24÷6 giving you 4X=4

Add the two expressions.
2x + 6 and 6.2 - 1
Enter your answer in the box.

Answers

Answer:

8x + 5

Step-by-step explanation:

By adding

2x + 6 + 6x -1

8x + 5

Which expression has the same GCF as 15x2 - 21x?

Answers

Answer:

12x^2-15x

Step-by-step explanation:

PLATO

The expression 12x²-15x has the same GCF as 15x² - 21x.

What is Expression?

An expression is combination of variables, numbers and operators.

The given expression is 15x²-21x

Let us find GCF of the given expression.

The GCF for a polynomial is the largest monomial that divides (is a factor of) each term of the polynomial

15x²-21x

3x(5x-7)

The GCF of 15x²-21x is 3x.

Now GCF of 18x²-24x,  6x(3x-4) is 6x

GCF of 12x²-15x, 3x(4x-4) is 3x

GCF of 15x²-21, 3(5x²-7) is 3

GCF of 12x²-18x, 6x(2x-3) is 6x

Hence, the expression 12x²-15x has the same GCF as 15x² - 21x.

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What is the C of a circle that has a radius of 4.5

Answers

Step-by-step explanation:

[tex]C = 2\pi \: r \\ = 2 \times 3.14 \times 4.5 \\ = 3.14 \times 9 \\ =28.26 \: units[/tex]

find the point slope form for (-4,-9) and (1,6)

Answers

Answer:change in y) / (change in x)

More formally, if a line passes through two points (x1,y1) and (x2,y2), then the slope m of the line is given by the formula:

m=y2−y1x2−x1

In the case of the points (4,9) and (1,6), we get:

m=6−91−4=−3−3=1

Step-by-step explanation:

Answer:

slope = 3

Step-by-step explanation:

Graph

Select the correct answer.

What is the justification for step 3 in the solution process?


10d − 5 = 4d − 15 − 3d

Step 1: 10d − 5 = d − 15

Step 2: 9d − 5 = -15

Step 3: 9d = -10

A.

the subtraction property of equality

B.

the multiplication property of equality

C.

the division property of equality

D.

the addition property of equality

Answers

Answer:

D.

the addition property of equality

Step-by-step explanation:

Given the expression in

Step 2: 9d - 5 = -15

The addition property of equality was used to get step 3.

That is

9d - 5 = -15

Move -5 over the equality sign and it becomes +5

9d = -15 + 5

9d = -10

OR add 5 to both sides of the equation as shown below

9d - 5 +5 = -15 + 5

9d = -10 which we have in step 3

Final answer:

The justification for step 3 is the subtraction property of equality, which allows us to subtract the same number from both sides of an equation to maintain its balance.

Explanation:

The correct answer is A: the subtraction property of equality.

Here is why: In the step before (step 2), we have 9d - 5 = -15. When we move to step 3, we're solving 9d = -10 which means we added 5 to both sides of the equation. By doing so, we subtract 5 from the left side to get 9d and add 5 to -15 on the right side to get -10. This action is consistent with the subtraction property of equality, which states that you can subtract the same number from both sides of an equation and the equation will still hold true.

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What is the equation for the line of reflection? On a coordinate plane, triangle A B C has points (6, 3.7), (5.4, 2), (1, 3). Triangle A prime B prime C prime has points (3.7, 6), (2, 5.4), (3, 1). x = 3 y = 3 y = x x = 6

Answers

The equation of the line of reflection should be [tex]y=x[/tex].

Given information:

Triangle ABC has points (6, 3.7), (5.4, 2), (1, 3). Triangle A' B'C' has points (3.7, 6), (2, 5.4), (3, 1).

A'B'C' is the reflection of the triangle ABC.

It is required to find the equation of the line of reflection.

Now, from the given coordinates of triangle ABC and its reflection, it is clear that the x and y-coordinates have interchanged their values. For example, coordinate (6,3.7) has become (3.7,6).

Therefore, the equation of the line of reflection should be [tex]y=x[/tex].

For more details, refer to the link:

https://brainly.com/question/18376051

Answer:

Y=X

Step-by-step explanation:

if 1/5 of the remaining blueberries is used to make muffins, how many pounds of blueberries are left in the container

Answers

Final answer:

To calculate the remaining blueberries after using 1/5 for muffins, subtract 1/5 from the total, leaving you with 4/5 of the original amount in pounds.

Explanation:

To determine how many pounds of blueberries are left after using 1/5 of them to make muffins, we need to perform a subtraction based on the fraction used. Let's assume we start with a certain quantity 'X' pounds of blueberries. After using 1/5 of them, we have 4/5 of 'X' pounds left because we subtract the 1/5 that was used for muffins from the original amount. It's important to convert any measurement units if they are not consistent, as seen when comparing pounds and ounces for other items like yogurt or apples.

The remaining amount of blueberries in the container is [tex]\( \frac{4}{5} \)[/tex] of the initial amount.

To determine how many pounds of blueberries are left in the container, we need to set up the problem and solve it step-by-step.

Let's denote the initial amount of blueberries as [tex]\( x \)[/tex] pounds.

1. Define the amount used for muffins:

If [tex]\( \frac{1}{5} \)[/tex] of the remaining blueberries is used to make muffins, it means that [tex]\( \frac{1}{5} \)[/tex] of the total blueberries is used.

Therefore, the amount of blueberries used for muffins is [tex]\( \frac{1}{5} x \)[/tex].

2. Calculate the remaining blueberries:

The remaining blueberries will be the total amount minus the amount used for muffins.

Thus, the remaining blueberries are:

[tex]\[ x - \frac{1}{5} x \][/tex]

3. Simplify the expression:

[tex]\[ x - \frac{1}{5} x = \frac{5}{5} x - \frac{1}{5} x = \frac{4}{5} x \][/tex]

How are the two functions f(x) = 0.7(6)x and g(x) = 0.7(6)–x related to each other?

Answers

Answer:

The sign of [tex]x[/tex] in [tex]g(x)[/tex] is opposite or negated. This is the only difference between [tex]f(x)[/tex] and  [tex]g(x)[/tex], meaning it is a reflection through the y-axis.

Therefore, [tex]g(x)[/tex]  will be the reflection of [tex]f(x)[/tex] through the y-axis.

Step-by-step explanation:

Considering the functions

f(x) = 0.7(6)xg(x) = 0.7(6)–x

We know that when we reflect a function through the y-axis, the x-coordinate gets opposite - negated.

Here, the sign of [tex]x[/tex] in [tex]g(x)[/tex] is opposite or negated. This is the only difference between [tex]f(x)[/tex] and  [tex]g(x)[/tex], meaning it is a reflection through the y-axis.

Therefore, [tex]g(x)[/tex]  will be the reflection of [tex]f(x)[/tex] through the y-axis.

Answer:

The sign of  in  is opposite or negated. This is the only difference between  and  , meaning it is a reflection through the y-axis.

Therefore,   will be the reflection of  through the y-axis.

Step-by-step explanation:

Considering the functions

f(x) = 0.7(6)x

g(x) = 0.7(6)–x

We know that when we reflect a function through the y-axis, the x-coordinate gets opposite - negated.

Here, the sign of  in  is opposite or negated. This is the only difference between  and  , meaning it is a reflection through the y-axis.

Therefore,   will be the reflection of  through the y-axis.

What are the vertex and x-intercepts of the graph of y = (x + 4)(x + 2)? Select
one answer for the vertex and one for the x-intercepts.
O
A. x-intercepts: (4,0), (-2, 0)
O
B. Vertex: (1,3)
O
c. x-intercepts: (-4,0), (-2,0)
O
D. Vertex: (-3,1)
E. Vertex: (-3,-1)
O
F. xintercepts: (-4,0), (2, 0)

Answers

Answer:

C. x-intercepts: (-4,0), (-2,0)

E. Vertex: (-3,-1)

Step-by-step explanation:

Part 1) Find the x-intercepts

we have

[tex]y=(x+4)(x+2)[/tex]

This is a vertical parabola written in factored form

[tex]y=(x-x_1)(x-x_2)[/tex]

where

x_1 and X_2 are the roots or x-intercepts

so

[tex]x_1=-4\\x_2=-2[/tex]

Remember that the x-intercepts are the values of x when the value of y is equal to zero

therefore

The x-intercepts are

(-4,0) and (-2,0)

Part 2) Find the vertex

we have

[tex]y=(x+4)(x+2)[/tex]

This is a vertical parabola open upward (the leading coefficient is positive)

The vertex is a minimum

Applying distributive property

[tex]y=x^2+2x+4x+8\\y=x^2+6x+8[/tex]

Convert to vertex form

Complete the square. Remember to balance the equation by adding the same constants to each side.

[tex]y=(x^2+6x+3^2)+8-3^2[/tex]

[tex]y=(x^2+6x+9)-1[/tex]

Rewrite as perfect squares

[tex]y=(x+3)^2-1[/tex] ----> equation in vertex form

[tex]y=(x-h))^2+k[/tex]

where

(h,k) is the vertex

therefore

The vertex is the point (-3,-1)

Answer:

Vertex: (-3,-1) X intercepts: (-4,0), (-2,0)

Step-by-step explanation:

A P E X ;)

Elena wrote the equation 5x=25. She wants to multiply 25 by 5 to solve it does this make sense

Answers

No. You would divide 25 by 5, which is 4. X = 4.

Answer:

It certainly doesn't make sense. Her equation means

5 times some number is 25.

hope it helps!

A jet plane traveling at 550 mph overtakes a propeller plane traveling at 150 mph that had a 3​-hour head start. How far from the starting point are the​ planes?

Answers

The planes are 618.75 miles from starting point

Solution:

Let t is the travel time of the jet

Then  (t + 3) is the travel time of the propellar

When the jet overtakes the propellar, they will traveled the same distance

Distance is given as:

[tex]Distance = speed \times time[/tex]

Distance equation for Jet

A jet plane traveling at 550 mph

[tex]Distance\ by\ jet = 550 \times t\\\\Distance\ by\ jet = 550t[/tex]

Distance equation for propellar:

propeller plane traveling at 150 mph

[tex]Distance\ by\ propellar = 150 \times (t+3)[/tex]

Equate both distance

[tex]550t = 150(t+3)\\\\550t = 150t + 450\\\\550t - 150t = 450\\\\400t = 450\\\\t = \frac{450}{400}\\\\t = 1.125[/tex]

Find the distance from the starting point

[tex]Distance = 550 \times t = 550 \times 1.125\\\\Distance = 618.75[/tex]

Thus they are 618.75 miles from starting point

Final answer:

The distance both planes are from the starting point when the jet overtakes the propeller is 451.125 miles.

Explanation:

This question is a math problem involving relative speed and distance traveled. In this case, we are solving for the distance each plane has flown from their respective starting points once the jet plane overtakes the propeller plane.

To start, let's think of the problem in terms of a timeframe. We know the propeller plane had a 3-hour head start. Now, we need to determine how long it took for the jet plane to catch up to the propeller plane. To calculate this, we must find the difference in speed between the two planes (550 mph - 150 mph = 400 mph), and then divide the time difference (3 hours) by the relative speed (400 mph) which equals 0.0075 hours.

Next, we compute the distance covered by the propeller plane in 3.0075 hours (150 mpg * 3.0075 hours = 451.125 miles). Both planes are at this same distance from the starting point when the jet plane overtakes the propeller plane.

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A box has dimensions of 17inches long , 1.3 feet wide , and 8 inches high . What is the volume of the box?

Answers

Answer:

2121.6 cubic inch

Step-by-step explanation:

Length of the box = 17 inches

Width of the box = 1.3 feet = 1.3 * 12 inches = 15.6 inches

Height of the box = 8 inches

Volume of the box is given by the product of its length , width and height.

Hence, Volume = {tex]\[length * width * height\][/tex]

= [tex]\[17 * 15.6 * 8\][/tex]

= 2121.6

Hence the volume of the box is 2121.6 cubic inch

This can also be expressed in cubic feet by dividing it by 1728.

In cubic feet the volume will be 1.23 cubic ft.

what type of function y<3x+5

Answers

Answer:

  linear inequality (not a function)

Step-by-step explanation:

The given inequality is linear in the variables x and y. It maps x to an infinite number of possible values for y, so the relation is not a function.

Use the grouping method to factor x3 + x2 + 5x + 5.

A. (x + 1)(x2 + 5)
B. (x2 + 1)(x+5)
C. (x+ 1)(x + 5)
D. x(x + 5)(x + 1)

Answers

Answer:

answer is a

Step-by-step explanation:

look at picture

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The general journal for Wells Tech includes the entry below. Based on the information in this entry, which of the following can you determine about the corresponding general ledger entries?The rent expense of $650 was debited to account 500 and the cash paid was credited to account 600.Which of the following journal entries is appropriate when a company receives payment in advance for goods or services?Debit cash and credit a liability account or a revenue account. 5. Why are index fossils useful in dating rock layers? What is the difference of the polynomials?(8rs-9rs+3rs)-(2rs-5rs-4rs) Which answer best explains how this scene develops the plot of the story?A.Armand asks Jerry for money for their father's birthday present.B.It shows how tom Jerry is between buying cowboy cards and helping pay for hisfather's gift.C.It shows that it is their father's birthday tomorrow.It shows how important trading cowboy cards is to Jerry and his friends.D.It shows that Jerry's sisters are selfish.100 points if u answer this in 2 mins Word association is a vocabulary-building strategy that relies on:OA. the use of pictures and images.OB. the use of signals and symbols.OC. the use of comecting related words.ting related words.OD. the use of your conversation voice. Based on the general theme of conservation, which of the following is most likely to happen if an athlete breaks his arm and must wear a cast and not use that arm for six weeks? Based on the general theme of conservation, which of the following is most likely to happen if an athlete breaks his arm and must wear a cast and not use that arm for six weeks? The muscles in the other arm will get stronger in order to help out. Muscles in the injured arm will get smaller because they are not being used. The muscles in the injured arm will not changeonly the bone was broken. The muscles in the injured arm will get stronger to compensate for the injured bone. What theory of hearing contends that areas of the basilar membrane are highly specialized, with each area responding to a different frequency? The current rates for an 80/20 mortgage are 4.25% for the first mortgage and9.75% for the second mortgage. On a $100,000 30-year mortgage, what is theactual rate? Sal contracts with Tasty Pizza Company to deliver its products. Later,both parties change their minds and decide to cancel their contract.The next day, Sal again offers to deliver Tastys products. Tasty iswilling to deal, but for a new price. Sal and Tastya.can agree to a new contract, but it cannot include a new price.b.can agree to a new contract that includes the new price.c.must perform their original contract.d.must perform the part of their original contract that isexecutory. Juana is a junior in college and receives scholarship funds at the beginning of each semester. In the past, this money has been sufficient to cover her costs each term. But this fall she ran out of money before the term was over. Which of the following is the MOST sensible step she can take to make sure she doesn't run out in the spring?A) Create a budget to help her smooth out her spending and avoid surprises.B) Drop one of her classes and get a job to add to her income.C) Request a cost of living increase in her scholarship funds.D) Track her income to see where the money is going. ________ is defined as the number of protons plus the number of neutrons. ________ is defined as the number of protons plus the number of neutrons. Atomic number Isotopic number Ionic number Mass number Nuclear number The ozone molecule O3 has a permanent dipole moment of 1.81030 Cm. Although the molecule is very slightly bent-which is why it has a dipole moment-it can be modeled as a uniform rod of length 2.51010 m with the dipole moment perpendicular to the axis of the rod. Suppose an ozone molecule is in a 8000 N/C uniform electric field. In equilibrium, the dipole moment is aligned with the electric field. But if the molecule is rotated by a small angle and released, it will oscillate back and forth in simple harmonic motion.What is the frequency f of oscillation? What geometric shape best describes the sun? triangular prism cube cylinder sphere "1.0 kg mass is attached to the end of a spring. The mass has an amplitude of 0.10 m and vibrates 2.0 times per second. Find its speed when it passes the equilibrium position." Please help me, Geometry is really hard for me. 1. "The biggest thing when we talk about personal branding is that its a _________" a. Hard thing b. Waiting game c. Process d. Journey 2. What is a key factor of personal branding?a. Spending money on sponsored ads b. Being visible on all social platforms c. Grit d.Consistency As part of his retirement strategy, John plans to invest $210,000 in two different funds. He projects that the moderately high risk investments should return, over time, about 9% per year, while the low risk investments should return about 4% per year. If he wants a supplemental income of $11,400 a year, how should he divide his investments? Cab someone pls help me? I don't understand this1.From Part 2 of the lab activity, plot a graph of volume vs. temperature (in kelvins) with the two data points that resulted from your experiment. Draw a straight line connecting the two points, thus assuming a linear relationship between volume and temperature.The x-intercept corresponds to where the volume would be zero and the temperature can be no lower, defined as absolute zero. Absolute zero is 0 K. Compare your results to those expected. How close to absolute zero was your intercept? Why might your value be different from absolute zero? What year did the Cold War start A dog running in an open field has components of velocity vx = 2.6 m/s and vy = -1.8 m/s at t1 = 10.0 s. For the time interval from t1 = 10.0 s to t2 = 20.0 s, the average acceleration of the dog has magnitude 0.45 m/s2 and direction 31.0o measured from the + x-axis toward the + y-axis. At t2 = 20.0 s, (a) what are the x- and y-components of the dogs velocity? (b) What are the magnitude and direction of the dogs velocity? (c) Sketch the velocity vectors at t1 and t2. How do these two vectors differ?