On his first birthday, Tomás was 30 inches tall. For the next year, he grew half an
inch each month. What equation models his height during that year, y, as a
function of the number of months, x?

Answers

Answer 1

Answer:

[tex]y = \frac{1}{2} x + 30[/tex]

Step-by-step explanation:

y = mx + b

y is his height during that year

x is the number of months

m is the slope or rate of change, which is 1/2 inch every month

b is the y-intercept, which is 30 inches

plug everything in then you get:

y = 1/2x + 30

Answer 2

Answer:

y = 1/2 x + 30

Step-by-step explanation:

I took the quiz! :)


Related Questions

38. On a recent shopping trip, you see a sale advertising 3 pairs of socks and 2 pairs of shoes for $60. Write an equation using x to represent the cost of socks and to represent the cost of shots.
2x + 3y = 60
3x + 2y =60
20x + 30 =60
30x 20y=60

Answers

It would be 3x + 2y = 60

Ryan's friends have organized a treasure hunt. He is using the map below to find the clues. The position of the last clue, which
leads to the treasure, is located at point (-2,4).
6
+
2
2
-2
He figures that the treasure is 3 units either to the east or south of the location of the last clue. Which of these could be the
location of the treasure?
OA. point (1, 4) or point (-2, 1)
OB. point (-5, 4) or point (-2, 1)
OC. point (1, 1) or point (-5,7)
OD. point (1, 4) or point (-2,7)

Answers

Using translation concepts, it is found that the location of the treasure could be given by these following points:

A. point (1, 4) or point (-2, 1)

What is a translation?

A translation is represented by a change in the function graph, according to operations such as multiplication or sum/subtraction in it's definition.

We consider that he is at point (-2,4), hence:

A shift east 3 units leads to point (1,4).A shift south 3 units leads to point (-2,1).

Hence option A is correct.

More can be learned about translation concepts at https://brainly.com/question/4521517

#SPJ1

What type of triangle can u form with 4.5cm,6cm, and 8.5cm

Answers

scalene triangle

hope it helps...

Answer:

down below - hope this helped :)

Step-by-step explanation:

you can make a scalene traingle with these mesurements

since none of the sides are equal :)

rajani says complementary angle of 43° is 37° degree do you agree?


pls fast ​

Answers

Answer:

no

Step-by-step explanation:

complementary angles add up to 90°

supplementary angles add up to 180°.

43 + 37 = 80.

so, they are neither.

Answer:

No

Step-by-step explanation:

Complementary angles add up to 90°The given angles are 43° and 37°43 + 37 ≠ 90They are not complementaryI do not agree with the statement

Im willing to give 5 star rating on YOUR account and a thank you aswell.

Answers

Answer: 1 in = 3.6 ft

Step-by-step explanation:

The small car is a model of the large car. The small car is 5 inches long while the large car is 18 feet long.

We currently have a ratio of: [tex]\frac{18 ft}{5 in}[/tex]

We need to get either the 18 or the 5 to one single unit.

18 ft : 5 in

Divide both sides by 5 to isolate 1 inch.

[tex]\frac{18}{5}[/tex] ft : [tex]\frac{5}{5}[/tex] in

Simplify.

3.6 ft : 1 in

We found that the ratio of the scale model is 1 inch of the model is equal to 3.6 ft of the real car.

Therefore, 3.6 ft = 1 in, which is equivalent to 1 in = 3.6ft

The graphic shows a sample 401k investment. a sample 401 (k) investment has an annual contribution of 5,000 dollars, employer match of 5 percent, employer contribution of 2500 dollars, and total contribution of 7500 dollars. based on the graphic, what advantage does this 401k have over other types of investments? it encourages employees to contribute by offering an employer bonus. it ensures that employees who contribute will retire with more money. it guarantees employees a return on their investment because of a company match. it incentivizes employees to contribute by offering an employer match.

Answers

The  advantage  401k have over other types of investments is:it incentivizes employees to contribute by offering an employer match.

What is 401(k) Investment?

401(k) investment can be defined as the process in which an employer enables an employee to save ahead of their retirement.

401(k)  investment help to motivate or encourage employee to save for retirement by enabling the employer to as well contribute a certain amount toward the employee retirement .

It as well help to lower the tax amount paid on the amount contributed by an employee based on the fact that the contribution are often deducted before tax.

Therefore the advantage  401k have over other types of investments is:it incentivizes employees to contribute by offering an employer match.

Learn more about 401(k) investment  here:https://brainly.com/question/27159207

Answer:

D.) It incentivizes employees to contribute by offering an employer match.

Step-by-step explanation:

a square barn has sides that are 7 meters long. what is the perimeter

Answers

Answer:

28

Step-by-step explanation:

A square has 4 sides, and 7 times 4 is 28.

Answer:

28 Meters

Step-by-step explanation:

A square has 4 sides of equal length, and a perimeter is the distance around the shape, so if each side is 7 meters long, then that is 4 lines that are 7 meters long...

7 × 4 = 28

The perimeter is 28.

Brainliest please?  

Please answer ASAP. Suppose we write down the smallest (positive) 2-digit, 3-digit, and 4-digit multiples of 8.

What is the sum of these three numbers?

Answers

Answer:

16, 104, 1000

Step-by-step explanation:

8*2

8*13

8*125

Answer:

1,120

Step-by-step explanation:

We start off the multiples of 8 with 8, 16, 24, 32, 40, 48, 56, 64, 72, 80, 88, 96, 104

The smallest positive 2 digit multiple is 16

The smallest 3 digit multiple is 104

We know 8 x 100 = 800, so we are still in 3 digits

Now we try 8 X 110 = 880

Now let's try 8 x 120 = 960

Now, 8 x 125 = 1,000 which is the smallest 4 digit number we can get

16 + 104 + 1000 = 1,120

HURRY 70 POINTS!! solve the system using substitution. show all work. {4x + 5y = 7 {y = 3x - 10

Answers

Answer:

(3, -1)

Step-by-step explanation:

Given

4x + 5y = 7y = 3x - 10

Subbing the value of y

4x + 5(3x - 10) = 74x + 15x - 50 = 719x = 57x = 3y = 3(3) - 10y = 9 - 10y = -1Solution is (3, -1)

Answer:

x = 3y = -1

Solution: (3, -1)

Step-by-step explanation:

Given equations:

[tex]4x + 5y = 7[/tex][tex]y = 3x - 10[/tex]

Step-1: Reorganize the equations with "y" on the L.H.S

[tex]\rightarrow \left \{ {{4x + 5y = 7} \atop {y = 3x - 10}} \right.[/tex]

[tex]\rightarrow \left \{ {{5y = 7 - 4x} \atop {y = 3x - 10}} \right.[/tex]

[tex]\rightarrow \left \{ {{5y = 7 - 4x} \atop y =-10 + 3x}} \right.[/tex]

Step-2: Make the x-variables the same on both equations

[tex]\rightarrow \left \{ {{3(5y = 7 - 4x)} \atop 4(y =-10 + 3x)}} \right.[/tex]

[tex]\rightarrow \left \{ {{15y = 21 - 12x} \atop 4y =-40 + 12x}} \right.[/tex]

Step-3: Add the equations

[tex]\rightarrow (15y + 4y) = (21 - 40) + (-12x + 12x)[/tex]

[tex]\rightarrow 19y = -19[/tex]

Step-4: Divide both sides by 19

[tex]\rightarrow \dfrac{19y}{19} = \dfrac{-19}{19}[/tex]

[tex]\rightarrow y = -1[/tex]

Step-5: Substitute the value of y into any equation

[tex]\rightarrow y = 3x - 10[/tex]

[tex]\rightarrow -1 = 3x - 10[/tex]

Step-6: Simplify the equation

[tex]\rightarrow -1 + 10 = 3x[/tex]

[tex]\rightarrow9= 3x[/tex]

Step-7: Divide 3 both sides

[tex]\rightarrow \dfrac{9}{3} = \dfrac{3x}{3}[/tex]

[tex]\rightarrow x = 3[/tex]

(Optional) Step-8: Convert the solution(s) into (x, y) form

[tex]\rightarrow (x, y) \rightarrow (x = 3; y=-1) \rightarrow (3,-1)[/tex]

Thus, the value of x and y is 3 and -1. The solution is (3, -1).

Hi! I want to solve exercise 13. The question is to say Wich one is not a monomial. Thank you

Answers

Answer:

A monomial is any expression that only contains one term, and terms can only be divided by a plus and a minus sign

So the answer is B and C are not monomials rather they are binomial expressions

Uche pumps gasoline at a rate of 16 / min. What is Uche’s pumping rate in / s?

Answers

Answer:

266.66mL/s

Step-by-step explanation:

You have:

[tex] \frac{16}{1} \frac{liters}{minute} [/tex]

You can use the conversion factors to convert liters to milliliters, and minutes to seconds:

1L = 1000mL

1 min = 60 sec

Therefore:

[tex] \frac{16}{1} \frac{liters}{minute} \times \frac{1000}{1} \frac{mililiters}{liter} \times \frac{1}{60} \frac{minute}{seconds} [/tex]

Liters cancel and minutes cancel. The units of mL per second is all that remains:

[tex] \frac{16 \times 1000}{60} \frac{mililiters}{second} = 266.66 \frac{ml}{s} [/tex]

Round 4 3/8 to the nearest whole number
A.3
B.4
C.5
D.6

Answers

Answer:

B

Step-by-step explanation:

It 4 3/8 is 4.375 which would round down

How many milliliters are in 5.25 liters?

Answers

5250
I hope that I helped ;D

Answer: 5250 milliliters

Step-by-step explanation:

i hope this will be helpful

Find the sum of (–4 + i) and (10 – 5i).

Answers

When we work with complex numbers:

 ⇒ we add all the like terms

     ⇒ terms with 'i' add with terms that have an 'i' ⇒ [tex]i -5i=-4i[/tex]

     ⇒ constants add with constants ⇒ [tex]-4+10=6[/tex]

Let's find the sum now:

  [tex](-4+i)+(10-5i)=-4+10 +(i-5i)=6-4i[/tex]

Answer: The sum of (-4+ i) and (10 - 5i) is 6 - 4i

Hope that helps!

Answer:

C on edge

Step-by-step explanation:

Ella said that if she knows the lengths of just two sides of any triangle,
then she can find the length of the third side by using the Pythagorean
Theorem. Is Ella correct? Explain. Lesson 7-1

Answers

Answer:

Yes

Step-by-step explanation:

Pythagorean theorem is a^2+b^2 = c^2 where each letter is a side of a triangle. If you know 2 sides then there is only 1 unknown and 1 equation so you can easily find the third side by solving the equation.

Raylan opened a savings account with $100. After 5 years there is $122. 50 in the account. What is his simple interest rate?

Answers

Answer:

4.5% annually

Step-by-step explanation:

Simple interest is the amount of interest added to a singular sum of money at a fixed rate.

Formula

The formula for simple interest is A = P(1+rt). In this formula, A is the total amount of money in the account, P is the original amount deposited, r is the rate of interest as a decimal, and t is the time in years.

Calculations

To find the rate, plug the information we know into the formula above

122.50 = 100(1+r*5)

Divide both sides by 100

1.225 = 1 + r*5

Subtract 1 from both sides

0.225 = r*5

Divide both sides by 5

0.045 = r

This gives us the rate as a decimal. So, to find the rate as a percent. Do this by moving the decimal 2 places to the right (or just multiply by 100, they do the same thing). This means that the rate of simple interest is 4.5%.

What kind of expression is this?

Answers

Answer:

the third one hope it helps:)

Using a normal deck of cards, Jessica draws one card, and then without replacing the first card, draws a second card.
Find the Probability:

P(Jack then Queen)

Answers

Answer:

not answered this question

What is the length of MN ?
M
3X
X + 8
634
N
O A. 12
OB. 8
OC. 4
O D. 16

Answers

Answer:

A. 12

Step-by-step explanation:

Using the Law of Sines,

sinA / a = sinB / b

Here,

A = 63°a = x + 8B = 63°b = 3x

Solving :

sin63°/x + 8 = sin63°/3xx + 8 = 3x2x = 8x = 4

Finding MN :

MN = x + 8MN = 4 + 8MN = 12

The table displays the scores of students on a recent exam. Find the mean of the
scores to the nearest 10th.
Score Number of Students
80
4
85
6
90
9
95
6
100
8

Answers

I believe the answer is 48.3

Step-by-step explanation:

sorry if I'm wrong

Which of the following is an odd function? f(x) = 3x2 x f(x) = 4x3 7 f(x) = 5x2 9 f(x) = 6x3 2x

Answers

If the condition f(-x) = -f(x) is satisfy then the function is an odd function. Then the odd function is f(x) = 6x³ + 2x.

What is an odd function?

Odd Function - A true function f(x) is said to be an odd function if the output value of f(-x) is the same as the negative of f(x) for all values of x in the domain of f.

The equation should be stored in an odd function:

f(-x) = -f(x)

Then the functions are given below.

f(x) = 3x² + x

f(x) = 4x³ + 7

f(x) = 5x² + 9

f(x) = 6x³ + 2x

Then replace x with the negative x, then we have

f(x) = 3(-x)² + (-x) = 3x² - x =

f(x) = 4(-x)³ + 7 = -4x³ + 7

f(x) = 5(-x)² + 9 = 5x² + 9

f(x) = 6(-x)³ + 2(-x) = -6x³ - 2x = - (6x³ + 2x)

More about the odd function link is given below.

https://brainly.com/question/14264818

Answer: D

Step-by-step explanation:

What is the lateral surface area of this prism? 8 7 7 12

Answers

Answer:

The lateral surface area is 12

Step-by-step explanation:

got it right on edu

Answer:

use PH+2B

Step-by-step explanation:

use the perimeter by adding sides, get the height in the corner, and ur base will be multiplied by width times length it should look similar to PxH+2xB

NEED HELP ASAP!! GIVING BRAINLIEST TO BEST ANSWER FOR THESE 2 QUESTIONS! PLS HELPPPPPP

Answers

Answer:

9)  [tex]\\\frac{14}{16}[/tex]

10) [tex]28\frac{5}{8}[/tex]

Step-by-step explanation:

9)

[tex]1\frac{3}{4}[/tex] you change by multiplying 1 * 3 (the numerator) and adding 4 (the denaminator), putting the result (7) to the numerator and keeping the denaminator (4) = [tex]\frac{7}{4}[/tex]

[tex]\frac{7}{4} * \frac{2}{4} = \frac{14}{16}[/tex]

10) 7*4 = 28

so [tex]28\frac{5}{8}[/tex]

What is the difference of the polynomials? (8r6s3 – 9r5s4 3r4s5) – (2r4s5 – 5r3s6 – 4r5s4) 6r6s3 – 4r5s4 7r4s5 6r6s3 – 13r5s4 – r4s5 8r6s3 – 5r5s4 r4s5 5r3s6 8r6s3 – 13r5s4 r4s5 – 5r3s6

Answers

The difference between the polynomials (8r⁶s³ - 9r⁵s⁴+3r⁴s⁵) - (2r⁴s⁵ -5r³s⁶ - 4r⁵s⁴) is (8r⁶s³ - 5r⁵s⁴ + r⁴s⁵  + 5r³s⁶).

What are polynomial?

Polynomial is an expression that consists of indeterminates(variable) and coefficient, it involves mathematical operations such as addition, subtraction, multiplication, etc, and non-negative integer exponentials.

The difference between the two polynomials can be solved as,

[tex](8r^6s^3 - 9r^5s^4+3r^4s^5) - (2r^4s^5 -5r^3s^6 - 4r^5s^4) \\\\= 8r^6s^3 - 9r^5s^4+3r^4s^5 - 2r^4s^5 +5r^3s^6 + 4r^5s^4\\\\= 8r^6s^3 - 5r^5s^4+r^4s^5 +5r^3s^6[/tex]

Thus, the difference between the polynomials (8r⁶s³ - 9r⁵s⁴+3r⁴s⁵) - (2r⁴s⁵ -5r³s⁶ - 4r⁵s⁴) is (8r⁶s³ - 5r⁵s⁴ + r⁴s⁵  + 5r³s⁶).

Learn more about Polynomial:

https://brainly.com/question/17822016

Michelle gets her hair done every 8 weeks and Zuri gets hers done every 5 weeks. If they both got their hair done today, in how many weeks would they both get their hair done again on the same day?

Answers

The number of weeks when both Michelle and Zuri would both have their hair done again on the same day is 6 weeks.

When would they both have their hair done?

In order to determine when they would both have their hair done on the same day, the common multiple of 8 and 5 has to be determined.

A multiple of a number is the product of an integer and that number.

Multiple of 8 = 8, 16, 24, 32, 40, 48, 56, 64, 72, 80

Multiple of 5 = 5, 10, 15, 20, 25, 30, 35, 40, 45, 50

Common multiple = 40

Number of weeks = 40 / 7 = 5.71 = 6 weeks

To learn more about multiples, please check: https://brainly.com/question/26030133

1. What is the sine ratio of ∠C?
A. 5/13
B. 5/12
C. 12/13
D. 13/12

2. What is the cos ratio for ∠C?
A. 8/10
B. 10/6
C. 10/6
D. 6/10

Answers

Answer:

1. Sine ratio of angle ∠C = 12/13

2. cos ratio for ∠C = 6/10

Step-by-step explanation:

1. sin = perpendicular /hypotuse

=> 12/13

2. cos = base / hypotuse

=> 6/10

PLEASE I NEED THIS NOW!! Please

Which of the following is a third root of the given complex number?
JE
27| COS
2700
+ i sin
5
5
Check all that apply.
O
A. 27| cos
1 172
15
+ i sin
1117
15
872
8z
B. 3COS
15
isin
15
117
O C. 3 cos
+ i sin
1 177
15
15
().-()
Hisin
3
O D. 3
+ i sin
JC
15
15

Answers

Suppose that r (cos(θ) + i sin(θ)) is a third root of 27 (cos(π/5) + i sin(π/5)), i.e.

[r (cos(θ) + i sin(θ))]³ = 27 (cos(π/5) + i sin(π/5))

Expand the left side using de Moivre's theorem:

r³ (cos(3θ) + i sin(3θ)) = 27 (cos(π/5) + i sin(π/5))

Matching up real and imaginary parts, we have

r³ cos(3θ) = 27 cos(π/5)

r³ sin(3θ) = 27 sin(π/5)

Right away we see that r³ = 27 ⇒ r = 3, which eliminates A.

We also have

(r³ sin(3θ)) / (r³ cos(3θ)) = (27 sin(π/5)) / (27 cos(π/5))

tan(3θ) = tan(π/5)

3θ = tan⁻¹(tan(π/5))

3θ = π/5 + nπ

(where n is an integer)

θ = π/15 + nπ/3

Now,

• n = 0   ⇒   θ = π/15   ⇒   D is a third root

• n = 1   ⇒   θ = π/15 + π/3 = 2π/5

• n = 2   ⇒   θ = π/15 + 2π/3 = 11π/15   ⇒   C is a third root

What number should be added to both sides of the equation to complete the square?
x2 - 6x = 5

Answers

Answer:

9

Step-by-step explanation:

The given equation is:

[tex]x^{2}[/tex] - 6[tex]x[/tex] = 5

To complete the square you have to add one number to both sides of the equation.

First, divide the coefficient of the term x by 2 and square the result. This number should then be added to both sides of the equation.

For the equation [tex]x^{2}[/tex] - 6[tex]x[/tex] = 5 the coefficient of the term x is -6.

(6 ÷ 2)² = 9
So you'll add 9 to both sides of the equation.

  [tex]x^{2}[/tex] - 6[tex]x[/tex] (+ 9) = 5 (+ 9)
                 ↓
      [tex]x^{2}[/tex] - 6[tex]x[/tex] + 9 = 14

This can also be written as:
         ([tex]x[/tex] - 3)² = 14

What is the product of 3a 5 and 2a2 4a – 2? 6a3 22a2 14a – 10 6a3 22a2 26a –10 18a3 10a2 14a – 10 28a3 14a – 10

Answers

The product of  3a + 5 and 2a2 + 4a – 2 is [tex]\rm 6a^3+22a^2+14a-10\\[/tex], the correct option is A.

What is the product of two algebraic expressions?

When two algebraic expressions are multiplied, the result is called the product, and the two expressions making up the product are called factors and multiplicands.

The multiplication of two algebraic equations can be expressed as a × b.

The product of 3a + 5 and 2a2 + 4a – 2 is determined in the following steps given below.

[tex]\rm =(3a + 5) \times( 2a^2 + 4a -2)\\\\= 3a ( 2a^2 + 4a -2) +5( 2a^2 + 4a -2)\\\\ =6a^3+12a^2-6a+10a^2+20a-10\\\\=6a^3+22a^2+14a-10\\[/tex]

Hence, the product of  3a + 5 and 2a2 + 4a – 2 is [tex]\rm 6a^3+22a^2+14a-10\\[/tex].

To know more about multiplication click the link given below.

https://brainly.com/question/14059007

Answer:

A. 6a^3 + 22a^2 + 14a - 10

Step-by-step explanation:

Ed22

The sandwich shop sold 6 ham sandwiches. They sold twice as many turkey sandwiches as ham sandwiches. They sold 4 fewer tuna sandwiches than turkey. How many sandwiches did they sell?

Answers

ham - 6
turkey - 12
tuna - 8
they sold 26 sandwiches
hope this helps :)

Answer:

Step-by-step explanation:

he cafeteria sold 6 more turkey sandwiches than ham sandwiches. They sold 52 sandwiches in all

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