A calf weighs 18 lbs. when it is 2 months old, and after 8 months it weighs 36 lbs.
Let x be the calf's age and y be the weight.
a. Write an equation in slope-intercept form that represents the situation.

Answers

Answer 1

The equation in slope-intercept form that represents the situation is y = 3x + 12

A linear equation is on the form:

y = mx + b

where y, x are variables, m is the rate of change and b is the initial value of y.

Let x be the calf's age in month and y be the weight.

A calf weighs 18 lbs. when it is 2 months old, and after 8 months it weighs 36 lbs. Hence it can be represented by:

(2, 18) and (8, 36). The equation is given by:

[tex]y-y_1=\frac{y_2-y_1}{x_2-x_1} (x-x_1)\\\\y-18=\frac{36-18}{8-2}(x-2) \\\\y=3x+12[/tex]

The equation in slope-intercept form that represents the situation is y = 3x + 12

Find out more on linear equation at: brainly.com/question/14323743


Related Questions

Can you please help me with number 16

Answers

good question i don’t know !

Question

Each data point on the scatter plot represents last month’s necklace and earring sales, in thousands of dollars, at one of the fourteen locations in a nationwide jewelry store chain. The correlation coefficient between necklace sales and earring sales is 0.98.


Wes says that an increase in necklace sales must cause an increase in earring sales. Ann says that an increase in earring sales must cause an increase in necklace sales. Who is correct?

Answers

Answer:

Wes

Step-by-step explanation:

This represents a positive correlation, meaning that when x increases, so does y. Because of x, y increases meaning that Wes is correct

the question in the picture​

Answers

Answer:

the answer is

[tex] {3}^{5} [/tex]

$145.75 marked up by 33% (round to the nearest cent)

Answers

Answer:

  $189.48

Step-by-step explanation:

  $145.75 + 30% × 145.75 = $145.75×1.30 ≈ $189.48

Jason considered two similar televisions at a local electronics store. The generic version was based on the brand name and was three eighths the size of the brand name. If the generic television set is 12 inches by 24 inches, what are the dimensions of the brand name television?

Answers

Answer:

Option (C) is correct, the dimensions of the brand name television = 32 inches by 64 inches.

Step-by-step explanation:

Given :  The generic version was based on the brand name and was three eighths the size of the brand name and both are similar.

The dimensions of the generic television set = 12 inches by 24 inches

Let the dimensions of brand name be x by y such that

three eighth of x=12 inches

and three eighth of y=24 inches

Therefore, the dimensions of the brand name television = 32 inches by 64 inches.

Hence option (C) is correct.

Help me plz plllzzzz

Answers

Whenever you multiply by a negative number.

Hopefully that helps you a little.

Triangle DNO has vertices at D(5, 8), N(– 3, 10), and O(– 3, 6). If vertex D is translated 4 units to the right, the best name for Triangle DNO is:

Answer Choices:
a. Scalene
b. Isosceles
c. Equilateral
d. Right
e. none of these

Answers

Using distance between two points to find the lengths of the edges of the triangle, the correct option is:

b. Isosceles

The distance between two points, [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex], is given by:

[tex]d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}[/tex]

Vertex D is translated 4 units to the right is (9,8).

The lengths of the edges are:

[tex]DN = \sqrt{(9 - (-3))^2 + (8 - 10)^2} = \sqrt{12^2 + 2^2} = \sqrt{148}[/tex]

[tex]DO = \sqrt{(9 - (-3))^2 + (8 - 6)^2} = \sqrt{12^2 + 2^2} = \sqrt{148}[/tex]

[tex]NO = \sqrt{(-3 - (-3))^2 + (10 - 6)^2} = \sqrt{0^2 + 4^2} = 4[/tex]

Two edges of the same length, hence, it is an isosceles triangle, given by option b.

You can learn more about distance between two points at https://brainly.com/question/18345417

BraniliestBraniliestBraniliestBraniliest Braniliest

Answers

Answer:

-20.54 C

Step-by-step explanation:

Form an equation

-12.94 C = initial temperature

changes -1.9 per hour = -1.9h

h = hour

x = temperature after 4 hours

-12.94 -1.9h = x

substitute 4 for "h"

-12.94-1.9(4) = x

x = -20.54C

Answer:

-20.54

Step-by-step explanation:

Just multiply -1.9 by 4 then add it to 12.94

1x10,000 + 6x1,000 + 3x100+ 7x10 + 8x 1/10 + 9/100 in a standed form
a- 163,789
b- 163,700.89
c- 16,378.9
d- 1,637.89
e- 16,370.89​

Answers

Answer:

C

Step-by-step explanation:

because write in standard form hope it helps to you

Sarah opened a savings account with a $725 deposit. This account earns 3.5% annual interest compounded twice each month. How long will it take her account to reach a balance of $2000 if there are no other deposits or withdrawals.

Answers

Jody invested less in an account paying simple interest than she did in an account paying simple interest. At the end of the first year, the total interest from both accounts was Find the amount invested in each account.

It will take 29 years to reach $725 to $2000 compounded twice in a month.

What is compound interest?

Borrowers are required to pay interest on interest in addition to principal since compound interest accrues and is added to the accrued interest from prior periods.

We know the formula for compound interest is,

A = P(1 + r/100)ⁿ.

Where, A = amount, P = principle, r = rate, and n = time in years.

The formula for compound interest compounded twice each month is,

A = P(1 +(r/24)/100)²⁴ⁿ.

Given, A = 2000, P = 725, r = 3.5.

∴ 2000 = 725(1 + (3.5/24)/100)²⁴ⁿ.

(1 + (3.5/24)/100)²⁴ⁿ = 2.76.

(1.00146)²⁴ⁿ = 2.76.

24n = [tex]log_{1.00146}2.76[/tex].

24n = 695.87.

n = 29 years.

learn more about compound interest here :

https://brainly.com/question/14295570

#SPJ2

How do I solve this and what is the answer to this?! Number 14.

Answers

Answer:

You'll have to give more information about the question or about what you need solved.

Step-by-step explanation:

Answer asap! Need help before I go to sleep.

Answers

Answer:

Step-by-step explanation:

y = (4/7)x - 1

which measures form a triangle​

Answers

[tex]\huge \rm༆ Answer ༄[/tex]

Measure of each side of a triangle can't be greater than the sum of the other two sides and can't be smaller than the difference between the two other sides. therefore the most appropriate choice is ~

4 cm , 7 cm and 9 cm

I hope it helps ~

We have:

1) 3 + 5 = 8 ⇒ wrong

2) 4 + 7 > 9 ⇒ right

3) 2 + 11 < 15 ⇒ wrong

ANSWER: 4 cm, 7 cm, 9 cm

Ok done. Thank to me :>

SAT verbal scores are normally distributed with a mean of 430 and a standard deviation of 120 (based on data from the College Board ATP). (a) If a single student is randomly selected, find the probability that the sample mean is above 500. (b) If a sample of 35 students are selected randomly, find the probability that the sample mean is above 500. These two problems appear to be very similar. Which problem requires the application of the central limit theorem, and in what way does the solution process differ between the two problems?

Answers

Using the normal distribution and the central limit theorem, it is found that there is a:

a) 0.281 = 28.1% probability that the sample mean is above 500.

b) 0.0003 = 0.03% probability that the sample mean is above 500.

In a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

It measures how many standard deviations the measure is from the mean.  After finding the z-score, we look at the z-score table and find the p-value associated with this z-score, which is the percentile of X. By the Central Limit Theorem, the sampling distribution of sample means of size n has standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].

In this problem:

The mean is of 430, hence [tex]\mu = 430[/tex].The standard deviation is of 120, hence [tex]\sigma = 120[/tex].

Item a:

The probability is the p-value of Z when X = 500, hence:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{500 - 430}{120}[/tex]

[tex]Z = 0.58[/tex]

[tex]Z = 0.58[/tex] has a p-value of 0.719.

1 - 0.719 = 0.281

0.281 = 28.1% probability that the sample mean is above 500.

Item b:

Sample of 35, hence [tex]n = 35, s = \frac{120}{\sqrt{35}}[/tex]

Then:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

By the Central Limit Theorem

[tex]Z = \frac{X - \mu}{s}[/tex]

[tex]Z = \frac{500 - 430}{\frac{120}{\sqrt{35}}}[/tex]

[tex]Z = 3.45[/tex]

[tex]Z = 3.45[/tex] has a p-value of 0.9997.

1 - 0.9997 = 0.0003

0.0003 = 0.03% probability that the sample mean is above 500.

To learn more about the normal distribution and the central limit theorem, you can take a look at https://brainly.com/question/24663213

what is 4*6 i need help

Answers

24 is the answer because if you do 4 6 times you get 24.

Activity 1.
Direction. Using the diagram below, form ratios. Express them in lowest term to
To form a proportion

Answers

Answer:

6:3 =2:12:2=1:16:13:24:14=2:7

Create a storyline (word problem) for the real-world graph below.

(I can do the story part I just need the numbers)​

Answers

Answer:

Y would equal X on Day 65

Step-by-step explanation:

Im guessing by looking at the chart

Answer:

One line represents something getting heavier over time, while the line pointing down represents something getting lighter over time at a slightly slower rate.

I need help on this math question

Answers

Answer:

84

Step-by-step explanation:

7 Sizes * 3 Lengths * 4 Colors = 84

Stan's favorite cereal provides 20% of the Vitamin A and 30% of the Vitamin C he needs daily. How many servings of this cereal must he consume before he gets the recommended daily requirement of both vitamins?

Answers

Answer:

Step-by-step explanation:

100 %/ 20 % = 5 servings

100 %/ 30 % = 3⅓ servings

He must consume 5 servings to get 100% of Vitamin A

In those servings he will consume 150% of Vitamin C

Which of the following statements correctly uses the distributive property?

-2(15 - 3) = -2(15) + (-2)(3)
7(9 - 8) = 7(9) - 8
9(-7 + 6) = 9(-7) + 9(6)
-3(12 + 5) = -3(12) - (-3)(5)

Answers

Step-by-step explanation:

9(-7 + 6) = 9(-7) + 9(6)

Hope it help !

1: Solve and Graph: 5-3(x - 1)> 2
2: Solve and Graph: 2x - 3> 7 or x+5<2
3: Solve for x: |1x-5|=13

Answers

Answer:

3) x=18 , -8

Step-by-step explanation:

hi

hope it helps you

Math help please!!!!!!!!!!!!!!

Answers

Answer:

x-1

correct me if im wrong

Solve for x: 5x + 15 = 28

A: 43/5
B: 13/5
C: 13
D: 43

Answers

[tex]\mathfrak{5x + 15 = 28} [/tex]

[tex]\mathfrak{5x = 28-15} [/tex]

[tex]\mathfrak{5x = 13} [/tex]

[tex]\boxed{\mathfrak{x = \dfrac{13}{5}}} [/tex] → option B.

[tex]\mathbb{MIREU} [/tex]

Answer:

B

Step-by-step explanation:

The first thing you need to do is,

28 - 15

which is 13.

Now look at the answer choices and multiply them by 5.

It cannot be C or D because it would not fit the equation.

If anyone of them equal 13 then it is the answer.

Now lets try it.

43/5 = 8.6

13/5 = 2.6

8.6 times 5 is way to big so A is not it.

2.6 times 5 is 13.

So it is B.

Plz help me i will give u 50pts^_^ and brainliest<3

Answers

Answer:

y/x^2=-2x+3

Step-by-step explanation:

If the mean of five values is 8.2 and four of the valuesare 6, 10, 7, and12, find the fifth value.​

Answers

Answer:

6

Step-by-step explanation:

→ Do the 8.2 × 5

41

→ Minus the answer from the sum of the values

41 - ( 6 + 10 + 7 + 12 ) = 6

Help help help math math math

Answers

18

Step-by-step explanation:

X-3=15

Make X the subject of the formular by transferring the number with co-efficients in one side if the equation.

X=15+3

X=18

Answer:

18

Step-by-step explanation:

Whomever please

Find the perimeter of the triangle that has vertices at the points R(2,1), S (2,5), and T(4,
1). Round the answer to the nearest hundredth (2 decimal places).

A) 35.78
B) 32
C) 21.54
D)10.47

Answers

The perimeter of the triangle is 10.47 units

The distance between two points is given by:

[tex]Distance=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

Given the points R(2,1), S (2,5), and T(4,  1). Hence:

[tex]RS=\sqrt{(5-1)^2+(2-2)^2}=4\ units[/tex]

[tex]RT=\sqrt{(1-1)^2+(4-2)^2}=2\ units\\\\ST=\sqrt{(4-2)^2+(1-5)^2}=4.47\ units[/tex]

The perimeter of the triangle = 4 + 2 + 4.47 = 10.47 units

Find out more on triangle at: https://brainly.com/question/17335144

Write and solve an absolute value inequality.
18. Students are guessing the number of jelly beans in a jar. Each student who guesses
within 15 of the correct amount will win a prize. The correct amount of jelly beans in the
jar is 389. Write and solve an absolute value inequality to represent this situation.
Express your solution as a compound inequality.

Answers

Compound inequalities are used to combine several inequalities

The solution as a compound inequality is [tex]374<x <404[/tex]

Assume the correct amount of jelly beans in the jar is x.

15 away from x can be represented as 15 - x or x - 15

The correct number of jelly beans is given as 389.

So, when the statement is represented as an absolute inequality, we have:

[tex]|x - 15| < 389[/tex]

Express as compound inequality:

[tex]389 - 15<x <389 + 15[/tex]

Evaluate like terms

[tex]374<x <404[/tex]

Hence, the solution as a compound inequality is [tex]374<x <404[/tex]

Read more about compound inequalities at:

https://brainly.com/question/1851664

Let F(x)=∫
t−3
t
2+7
for − ∞ < x < ∞
x
0
(a) Find the value of x where F attains its minimum value.
(b) Find intervals over which F is only increasing or only decreasing.
(c) Find open intervals over which F is only concave up or only concave down.

Answers

(a) It looks like you're saying

[tex]\displaystyle F(x) = \int_0^x (t - 3t^2 + 7) \, dt[/tex]

Find the critical points of F(x). By the fundamental theorem of calculus,

F'(x) = x - 3x² + 7

The critical points are where the derivative vanishes. Using the quadratic formula,

x - 3x² + 7 = 0   ⇒   x = (1 ± √85)/6

Compute the second derivative of F :

F''(x) = 1 - 6x

Check the sign of the second derivative at each critical point.

• x = (1 + √85)/6 ≈ 1.703   ⇒   F''(x) < 0

• x = (1 - √85)/6 ≈ -1.370   ⇒   F''(x) > 0

This tells us F attains a minimum of

[tex]F\left(\dfrac{1-\sqrt{85}}6\right) \approx \boxed{-6.080}[/tex]

(b) Split up the domain of F at the critical points, and check the sign of F'(x) over each subinterval.

• over (-∞, -1.370), consider x = -2; then F'(x) = -7 < 0

• over (-1.370, 1.703), consider x = 0; then F'(x) = 7 > 0

• over (1.703, ∞), consider x = 2; then F'(x) = -3 < 0

This tells us that

• F(x) is increasing over ((1 - √85)/6, (1 + √85)/6)

• F(x) is decreasing over (-∞, (1 - √85)/6) and ((1 + √85)/6, ∞)

(c) Solve F''(x) = 0 to find the possible inflection points of F(x) :

F''(x) = 1 - 6x = 0   ⇒   6x = 1   ⇒   x = 1/6

Split up the domain at the inflection point and check the sign of F''(x) over each subinterval.

• over (-∞, 1/6), consider x = 0; then F''(x) = 1 > 0

• over (1/6, ∞), consider x = 2; then F''(x) = -11 < 0

This tells us that

• F(x) is concave up over (-∞, 1/6)

• F(x) is concave down over (1/6, ∞)

Solve


5 + 3 ( x - 1 ) = 5x - 6​

Answers

The answer is x=4

5+3(x-1)=5x-6
Do the parentheses
5+3x-3=5x-6
Combine like terms
3x+2=5x-6
Subtract 3x to both sides
2=2x-6
Add 6 to both sides
8=2x
Divide by 2 on both sides
4=x
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