what is the equationof the line that passes through (0,3) and (7,0)

Answers

Answer 1
Answer:

y = - 3/7x + 3

Step-by-step explanation:

First find the slope

Second find the y-intercept (already given by one of the points)

Third write it in slope-intercept form

Related Questions

write your answer as an integer or as a decimal rounded to the nearest tenth.​

Answers

Answer:

6.43

Step-by-step explanation:

Cosine: cos(θ) = Adjacent / Hypotenuse

cosine of 39 degrees = 5/x

.77714596145 = 5/x

x = 5/.77714596145

x= 6.43379782952

Solve the word problems. The price of a bed was $2600. MDM Yap bought the bed and had to pay an additional 7% GST. (a) What was the amount of GST she had to pay? (b) What was the price of the bed including GST?​

Answers

Answer:

Step-by-step explanation:

Hey good morning I need help ASAP thank you guys

Answers

Answer:

B. x = 2.77

Step-by-step explanation:

3^x = 21

You first look for a base for 21 that is 3 to the power of something.

21 = 3^2.77

So 3^x = 2^2.77

They have the same base so

x= 2.77

Mary spent $4 more than 1/8 of her original amount of money on a bag. She then
Spent $12 more than 2/3 of her remaining money on groceries.Given that Mary had $24 left,how much did the bag cost?

Answers

Answer:

464 $

Step-by-step explanation:

If Logx (1 / 8) = - 3 / 2, then x is equal to what?​

Answers

Answer:

Logx(1/8) = -3/2

x = 4

Answered by GAUTHMATH

How many numbers multiple of 3 are in the range [2,2000]?

Answers

Answer: so there are 666 multiples of 3 between 2 and 2000.

Step-by-step explanation:

the smallest number = 3 which is 3*1. The largest number is = 1998 = 3*666

multiples of 3 between {2,2000} = 666-1+1 = 666

I need this please pleaseeee nowww

Answers

Answer:

y = 3x - 5

Step-by-step explanation:

Slope = 3

x-intercept (what the value of y is when its 0) = -5 so y = 3x - 5

Answer:

y = 3x - 5

Step-by-step explanation:

Find the slope of the line between (0,−5)(0,-5) and (3,4)(3,4) using m=y2−y1x2−x1m=y2-y1x2-x1, which is the change of yy over the change of xx.

m=3m=3

Use the slope 33 and a given point (0,−5)(0,-5) to substitute for x1x1 and y1y1 in the point-slope form y−y1=m(x−x1)y-y1=m(x-x1), which is derived from the slope equation m=y2−y1x2−x1m=y2-y1x2-x1.

y−(−5)=3⋅(x−(0))y-(-5)=3⋅(x-(0))

Simplify the equation and keep it in point-slope form.

y+5=3⋅(x+0)

Add xx and 00.

y+5=3xy+5=3x

Subtract 55 from both sides of the equation.

y=3x−5

Help please ……………….zzzz

Answers

1) I think 15 choose (d)

2) The choose (C) -4fg+4g

3) The choose (d) 3xy/2

4) The choose (a) ab/6

5) The choose (C) 2p+4q-6

6)

[tex]\pi {r}^{2} h = 3.14 \times {3}^{2} \times 1.5 = 42.39 {m}^{3} = 42.390 {m}^{3} [/tex]

Point 6 I think there is an error because the unit m must be m³ because it is r² (m²) and h(m) becomes m³.

I hope I helped you^_^

Solve each equation for the specified variable

Answers

Answer: Solve for the specified variables

Step-by-step explanation:

1. w= A/l

2. d=C/pi

3. s=v-gt

4. y= 5/2x-11/2

5. P^2= P^1V^1 / P^2 Put ^ as lowercase as shown, can't find symbol on my keboard T.T

6. W= Ke2g / V^2

7. h= V / 2/3 pi r^2

8. n=2S/a+k

9. S=A/pi r - r (not 100% sure on that one)

10. r= E/I-R

11. h= E-1/2mv^2/mg

12. a=K+5b/b+3

13. c=ab/b+a

Wooh, finally finished all that. Hope I didn't make any mistakes. Have a great day!

7) Ten times the sum of -150 and a number yields -110.​

Answers

Answer:

the answer to that is 10(N+14)=9N

Let the number = x

Set up an equation:

10(-150 + x ) = -110

Simplify:

-1500 + 10x = -110

Add 1500 to both sides

10x = 1390

Divide both sides by 10

X = 139

The number is 139

Exponents Properties Practice

Write an equation to model the situation and answer the question. Include units when applicable.

In a much happier economy, Mr. Demo earns 5% monthly interest on his savings. After a $300 withdrawal, he notices he has $2021 in his account. He has collected interest for 3 months. What amount did he start with?

Answers

we can use this equation to solve:

[tex]a = p(1 + \frac{r}{n} ) ^{nt} [/tex]

a = final amount

p = initial amount

r = percentage increment (in decimal form)

n = amount of time interest is compounded

t= time (in years)

Since the guy w withdrew $300 and saw that his account still has $2021 left, he must have had $2321 in total.

5% interest is .05 in decimal form

since the account is compounded monthly, n=12

Because the account has been collecting interest for 3 months and t is supposed to be in years, dividing 3 by 12 will yield 1/4, or . 25

i nedd help due today plzzzz answer fast

Answers

Answer:

Option A, m⁴/n²

Multiply the exponent 6 with the exponents of m and n

Give a vector parametric equation for the line through the point (−2,−4,0) that is parallel to the line ⟨−2−3t,1−4t,−5t⟩:

Answers

The tangent vector for the given line is

T(t) = d/dt ⟨-2 - 3t, 1 - 4t, -5t⟩ = ⟨-3, -4, -5⟩

On its own, this vector points to a single point in space, (-3, -4, -5).

Multiply this vector by some scalar t to get a whole set of vectors, essentially stretching or contracting the vector ⟨-3, -4, -5⟩. This set is a line through the origin.

Now translate this set of vectors by adding to it the vector ⟨-2, -4, 0⟩, which correspond to the given point.

Then the equation for this new line is simply

L(t) = ⟨-3, -4, -5⟩t + ⟨-2, -4, 0⟩ = ⟨-2 - 3t, -4 - 4t, -5t

The vector parametric equation for the line through the point is [tex]r = (-2, \ -4, \ 0) +(-3, \ -4, \ -5)t\\\\[/tex].

Given

Give a vector parametric equation for the line through the point (−2,−4,0) that is parallel to the line ⟨−2−3t,1−4t,−5t⟩.

What is a parametric equation vector?

Parametric equations of the line segment are defined by its endpoints.

To find the vector equation of the line segment, we’ll convert its endpoints to their vector equivalents.

Two lines are parallel if they have the same direction, and in the parametric form, the direction of a line is always the vector of constants that multiply t (or the parameter).

The vector equation of a line is given by:

[tex]\rm v = r_0+tv[/tex]

Where v is the direction vector and [tex]\rm r_0[/tex] is a point of the line.

The tangent vector for the given line is

T(t) = d/dt ⟨-2 - 3t, 1 - 4t, -5t⟩ = ⟨-3, -4, -5⟩

Here,

[tex]\rm r_0 = (-2,-4,0) \ and \ v=(-3, \ -4, \ -5)t\\\\[/tex]

Then,

[tex]r = (-2, \ -4, \ 0) +(-3, \ -4, \ -5)t\\\\[/tex]

x = -2-3t, y = -4-4t, and z = 0-5t

To know more about the Parametric equation click the link given below.

https://brainly.com/question/14701215

A local rectangular shaped pool used by lap swimmers has dimensions 25 yd by 30 yd and is 5.1 feet deep. Find the cost for filling the pool if the city charges $1.50 per 1000 gallons. Use the conversion 1 gallon

Answers

Answer:

the cost of filling the pool is $386.3

Step-by-step explanation:

Given;

dimension of the rectangular pool, = 25 yd by 30 yd by 5.1 ft

covert the given dimensions to feet;

1 yd = 3 ft

25 yd = 25 x 3 ft = 75 ft

30 yd = 30 x 3 ft = 90 ft

The volume of the rectangular pool in cubic feet (ft³);

Volume = 75 ft  x 90 ft  x 5.1 ft

Volume = 34,425 ft³

Convert the volume to gallons;

1 ft³ = 7.481 gallons

10,125 ft³ = 34,425 x 7.481 gallons

               = 257,533.425 gallons

The cost per a 1000 gallons is $1.50, then cost of the 257,533.425 gallons is calculated as;

[tex]cost = \frac{\$ 1.50}{1000 \ gallons} \times 257,533.425 \ gallons = \$ 386.3[/tex]

Therefore, the cost of filling the pool is $386.3

Find the missing side of the triangle

Answers

Answer:

x = 2[tex]\sqrt{5}[/tex]

Step-by-step explanation:

Pytago:

[tex]2^2 + 4^2 = x^2\\x = \sqrt{2^2 + 4^2} \\x = 2\sqrt{5}[/tex]

Answer:

4.47

Step-by-step explanation:

x²= 2² + 4²

x² = 4 + 16

x²= 20

x = √20

x= 4.47

Help with any of the questions what be appreciated

Answers

Answer:

The answer is s = d/t

Step-by-step explanation:

For question 12, I think this is called a literal equation, I might be wrong but I believe so it is a literal equation. They are asking you to get s on one side. And they are asking you what s is in terms of d and t. So what you do is, d = s x t. You multiply the t with the s and get d = st. Then you will divide t from both sides so, d/t = s/t, this will eliminate t from the s, and add it on to the d (distance). Which will leave you s on one side and d and t on the other. The answer is s = d/t.

S O L U T I O N :

Section 3

12) a) Here, as we need that s or speed is the subject so speed should be in place of distance. So, we get

s = d/t

Here, s is speed, d is distance and t is the time

12) b) We know that :

Average Speed = Total Distance/Total Time

Here, total distance is given 748 km

total time 11.5 hrs

Avg. Speed = 748/11.5

Avg. Speed = 65.04 km/h

Hence, the answer is 65.04 km/h

13) a) We know that volume of a rabbit hutch is

Volume of rabbit hutch = ½ × b × h × l

Here,

b is the breadth, h is the height and l is the length

Volume= ½ × 50 cm × 50 cm × 2.5 m

Now, here Length is in metre so we need to convert to cm

1 m = 100 cm

2.5 m = 2.5 × 100 = 250 cm

So, now

Volume= ½ × 50 cm × 50 cm × 250 cm

Volume = 50 cm × 50 cm × 125 cm

Volume = 312,500 cm³

Hence, the volume of this hutch is 312,500 cm³

13) b) Let us assume that the orange be a sphere

So, volume of orange = 4/3πr³

Here, r is the radius and π is pi

radius is 4 cm

Volume = 4/3π(4)³

Volume = 4/3 × 64π

Volume = 85.33π cm³

Volume of the orange is 85.33π cm³

Use the distributive property to find the product of the rational number.
5/2 (- 8/5 + 7/5)

Answers

9514 1404 393

Answer:

  -1/2

Step-by-step explanation:

The factor outside parentheses multiplies each term inside.

  5/2(-8/5 +7/5)

  = (5/2)(-8/5) +(5/2)(7/5)

  = -8/2 +7/2 = -1/2

please help.
find the missing side or angle and each problem .

Answers

1. 27
2. 55
3. 20
4. 21

Evaluate the expression when x = 12/7
The value of the expression when x equals is ???
PLEASE HELP!!

Answers

Answer:

82

Step-by-step explanation:

1/3( x+9/7) + 3^4

Let x = 12/7

1/3( 12/7+9/7) + 3^4

PEMDAS says parentheses first

1/3( 21/7) + 3^4

1/3(3) +3^4

Then exponents

1/3(3)+81

Then multiply

1+81

82

find the number of permutations that can be formed from all letters in the word connecticut

Answers

Connecticut as a permutation, 1 example would be c1,o,n1,n2,e,c2,t1,I,c3,u,t2. 10 items can form 10! permutations. Considering c1=c2=c3, n1=n2, t1=t2, let’s look at the c all equal condition: 3cs existing one in front of or behind another may form c1, c2, c3; c1, c3, c2; c2,c1,c3… totally 6 different ôkkkiojobvarieties

please help me
no links or files
thank you !
Jane is saving to buy a cell phone. She is given a $100 gift to start and saves $35 a month from her allowance. So after one month, Jane has saved $135. Does it make sense to represent the relationship between the amount saved and the number of months with one constant rate? Why or why not? Explain your answer.

Answers

Jane is given a $100 gift to start and saves $35 a month from her allowance.

   After 1 month, Jane has saved

   After 2 months, Jane has saved

   After three months, Jane has saved

   and so on

In general, after x months Jane has saved

This means that it makes sense to represent the relationship between the amount saved and the number of months with one constant rate (in this case the constant rate is 35). It makes sense because the amount of money increases by $35 each month. Since the amount of increase is constant, we get constant rate. Also the initial amount is known ($100), so there is a possibility to write the equation of linear function representing this situation.

Step-by-step explanation:

solve for x . please help also don’t forget to show work

Answers

Answer:

X-4x+11=8

-3x+12-8=0

-3x+4=0

3x=4

X=4/3

Answer:

x = 4/3 or 1.3

Step-by-step explanation:

Combine like terms

8 = -3x + 12

Move the terms

3x = 12 - 8

Calculate

3x = 4

Divide both sides by 3

x = 4/3

or

x = 1.3

Help me with this please

Answers

9514 1404 393

Answer:

   B.  √6

Step-by-step explanation:

The circles are not tangent to one another. If they were, the distance between their centers would be the sum of their radii: 1 +1 = 2.

__

The center of the first circle is (√3, √3), and the center of the second is the origin. The distance between these two centers is given by the distance formula:

  d = √((x2 -x1)^2 +(y2 -y1)^2)

  d = √((√3 -0)^2 +(√3 -0)^2) = √(3+3) = √6 . . . . matches choice B

Please answer ASAP!!!!

Answers

Answer:

0

Step-by-step explanation:

0

HELP I NEED TO FIND THE COORDINATES OF THE POINTS

Answers

Answer:

The coordinate of any given point can be written as (x, y), where x is the x coordinate, and y is the y coordinate.

For example, point A has an x coordinate (horizontal) of 5, and a y coordinate (vertical) of 6. So the ordered pair is (5, 6).

Similarly, for the rest we have:

B: (-5,5)

C: (-2,3)

D: (-2,-2)

E: (3,-4)

F: (3,-6)

Determine the degree of the term 2^3x2yz4

Answers

Answer:

7

Step-by-step explanation:

It looks like the term is [tex]2^3}x^2}yz^4[/tex]

First simplify

[tex]8x^2}yz^4[/tex]

[y has an exponent of 1 btw]

Then to find the degree of a term, just add up the values of all the exponents

2+1+4=7

I hope this helps!

In an accelerated failure test, components are operated under extreme conditions so that a substantial number will fail in a rather short time. In such a test involving two types of microchips, 580 chips manufactured by an existing process were tested, and 125 of them failed. Then, 780 chips manufactured by a new process were tested, and 130 of them failed. Find a 90% confidence interval for the difference between the proportions of failures for chips manufactured by the two processes. (Round the final answers to four decimal places.) The 90% confidence interval is

Answers

Answer:

The 90% confidence interval is (0.0131, 0.0845).

Step-by-step explanation:

Before finding the confidence interval, we need to understand the central limit theorem and subtraction of normal variables.

Central Limit Theorem

The Central Limit Theorem establishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

For a proportion p in a sample of size n, the sampling distribution of the sample proportion will be approximately normal with mean [tex]\mu = p[/tex] and standard deviation [tex]s = \sqrt{\frac{p(1-p)}{n}}[/tex]

Subtraction between normal variables:

When two normal variables are subtracted, the mean is the difference of the means, while the standard deviation is the square root of the sum of the variances.

Old process:

125 out of 580, so:

[tex]p_O = \frac{125}{580} = 0.2155[/tex]

[tex]s_O = \sqrt{\frac{0.2155*0.7845}{580}} = 0.0171[/tex]

New process:

130 out of 780. So

[tex]p_N = \frac{130}{780} = 0.1667[/tex]

[tex]s_N = \sqrt{\frac{0.1667*0.8333}{780}} = 0.0133[/tex]

Distribution of the difference:

[tex]p = p_O - p_N = 0.2155 - 0.1667 = 0.0488[/tex]

[tex]s = \sqrt{s_O^2+s_N^2} = \sqrt{0.0171^2 + 0.0133^2} = 0.0217[/tex]

Confidence interval:

[tex]p \pm zs[/tex]

In which

z is the z-score that has a p-value of [tex]1 - \frac{\alpha}{2}[/tex].

90% confidence level

So [tex]\alpha = 0.1[/tex], z is the value of Z that has a p-value of [tex]1 - \frac{0.1}{2} = 0.95[/tex], so [tex]Z = 1.645[/tex].

The lower bound of the interval is:

[tex]p - zs = 0.0488 - 1.645*0.0217 = 0.0131[/tex]

The upper bound of the interval is:

[tex]p + zs = 0.0488 + 1.645*0.0217 = 0.0845[/tex]

The 90% confidence interval is (0.0131, 0.0845).

Please find the missing ? Explanation need it

Answers

Answer:

the answer is 3.162

Step-by-step explanation:

If sin(x) = 1 and cos(x) = 0, what is cot(x)?

0

1

undefined

Answers

Answer:

It's 0

Edge said it's 0

The value of the ratio of the cos(x) and the sin(x) is 0.

Trigonometric ratios are mathematical functions that relate the angles of a right triangle to the ratios of the lengths of its sides. These ratios are fundamental in trigonometry and have applications in various fields, such as physics, engineering, and navigation.

Trigonometry is a branch of mathematics that deals with the relationships and properties of angles and triangles. It explores the ratios between the sides of a triangle and the angles within that triangle. The word "trigonometry" is derived from two Greek words: "trigonal," meaning "triangle," and "metron," meaning "measure."

The value of the sin(x) is 1. The value of cos(x) is 0.

The formula for the cot(x) is written below:

cot(x) = cos(x) / sin(x)

cot(x) = 0 / 1

cot(x) = 0

To know more about trigonometry follow

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Instructions: The polygons in each pair are similar. Find the
missing side length.

Answers

Answer:

45/27=30/18=x/24

x = 30×24/18

or, x = 40

Answer:

? = 40

Step-by-step explanation:

Since the polygons are similar then the corresponding sides are in proportion, that is

[tex]\frac{?}{24}[/tex] = [tex]\frac{?}{24}[/tex] = [tex]\frac{30}{18}[/tex] ( cross- multiply )

18 ? = 720 ( divide both sides by 18 )

? = 40

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