What is an equation of the line that passes through the points (0, -2) and (-5, 4)?
Put your answer in fully reduced form.

Answer: x > -11/2

svdbhtdtgifubhonj

Answer:

x>-11/2

I'm sorry, I did this all on paper and I don't really want to type it out. Please understand.

Hope this helps a little bit, though.

Answer:

Step-by-step explanation:

y

=

1

3

x

−

3

Use the slope-intercept form to find the slope and y-intercept

Slope:

1

3

y-intercept:

(

0

,

−

3

)

Any line can be graphed using two points. Select two

x

values, and plug them into the equation to find the corresponding

y

values.

x

y

0

−

3

3

−

2

Graph the line using the slope and the y-intercept, or the points.

Slope:

1

3

y-intercept:

(

0

,

−

3

)

x

y

0

−

3

3

−

2

image of graph

Answer:

He can run 6 miles per hour

Answer:

C

Step-by-step explanation:

3, 4 and 5 cant be a right triangle

Answer:

Step-by-step explanation:

P = 4 a

a = √p^2 + q^2 / 2

P = 2√p^2 + q^2 = 2 x √42^2 + 40^2 = 116cm

∴ the perimeter of a rhombus when the diagonals are 42cm and 40cm is 116cm

Answer: .12 grams of butter per cupcake

Step-by-step explanation:

1/12=x/100 this is what i found but this may or may not be the right answer but I am pretty sure that it is. Sorry if this doesn't help.

Answer:

there aren't boys who have the numbers of marbles .

Step-by-step explanation:

Answer: 1.    

               2. = 12

        3 on the left        = 8

         3 on the right     = 15

        1 on the right      =  20

         2 on the right     =   21/98

Step-by-step explanation:

The best estimate for the number of fish is that there are 82 yellow fish and 18 green fish, which you can calculate using the rule of three. This estimate is expected to be accurate.

This can be calculated using a rule of three as follows. Let's start with the yellow fish:

53 = 65

x    = 100

53 x 100 / 65 = 82 yellow fish

Green fish:

12 = 65

x = 100

12 x 100 / 65= 18 green fish

This estimate is expected to be accurate; however, there might be small differences in real life such as 80 yellow fish and 20 green fish.

Learn more about estimates in https://brainly.com/question/17961193

#SPJ1

Answer:

\(Probability =0.1744\)

Step-by-step explanation:

Given

Total

\(American = 11\)

\(Canadian = 18\)

Selection

\(American = 0\)

\(Canadian = 4\)

Required

Determine the probability of selecting a 4 committee member that are Canadian.

First, we calculate total possible selection.

\(Total = American + Canadian\)

\(Total = 11 + 18\)

\(Total = 27\)

Number of ways to select 4 from 27 is:

\(^{27}C_4 = \frac{27!}{(27-4)!4!}\)

\(^{27}C_4 = \frac{27!}{23!4!}\)

\(^{27}C_4 = \frac{27*26*25*24*23!}{23!4!}\)

\(^{27}C_4 = \frac{27*26*25*24}{4!}\)

\(^{27}C_4 = \frac{27*26*25*24}{4*3*2*1}\)

\(^{27}C_4 = \frac{421200}{24}\)

\(^{27}C_4 = 17550\)

Next, we calculate ways of selecting 4 Canadians from 18 is:

\(^{18}C_4 = \frac{18!}{(18-4)!4!}\)

\(^{18}C_4 = \frac{18!}{14!4!}\)

\(^{18}C_4 = \frac{18*17*16*15*14!}{14!4!}\)

\(^{18}C_4 = \frac{18*17*16*15}{4!}\)

\(^{18}C_4 = \frac{18*17*16*15}{4*3*2*1}\)

\(^{18}C_4 = \frac{73440}{24}\)

\(^{18}C_4 = 3060\)

The required probability is:

\(Probability =\frac{3060}{17550}\)

\(Probability =0.1744\)

Answer: The percentage of legal quarters will be rejected by the vending machine = 2.275%

Step-by-step explanation:

Given: The weights of legal U.S. quarters have a normal distribution with a mean of 5.67 grams and a standard deviation of 0.07 gram.

Let x be the weights of legal U.S. quarters .

Required probability: \(P(x<5.53)+P(x>5.81)\)

\(=P(\dfrac{x-\mu}{\sigma}<\dfrac{5.33-5.67}{0.07})+P(\dfrac{x-\mu}{\sigma}>\dfrac{5.81-5.67}{0.07})\\\\=P(z<-4.857)+P(z>2)\approx0.02275 \ \ \ [By\ P-value\ calculator]\)

The percentage of legal quarters will be rejected by the vending machine = 2.275%

Answer:

265

Step-by-step explanation:

765-500=265 =  500+265=765

Answer:

Uncle Jim gave Louise 265 cents.

Step-by-step explanation:

765-500=265

To check:

265+500 or 500+265

Hope this helped! :D

Answer:

  A

Step-by-step explanation:

In a list of ordered pairs, a relation that is a function will not have any repeated x-values.

A -- a function (x-values are {-1, 0, 2, 5} with no repeats)

B -- irrelevant

C -- not a function (x-values are {0, 0, -3, 3} with 0 being repeated)

D -- not a function (x-values are {-2, -1, -2, 2} with -2 being repeated)

11. 8 1/3 = 8x3+1 / 3 = 25/3

12. 5 3/5 = 5x5+3 / 5 = 28/5

13. 2 5/8 = 2x8+5 / 8 = 21/8

14. 3 4/9 = 3x9+4 / 9 = 31/9

15. 24/7 = 3 3/7

16. 43/9 = 4 7/9

17. 59/8 = 7 3/8

18. 32/5 = 6 2/5

Hope it helps...

Answer:

Step-by-step explanation:

The correct answer for this question is Phil can swim 90 meters in 2 minutes.

According to the given question, Phil can swim 15 meters in 20 second.

So, in 1 second, Phil can swim: 15 meters/20 second=0.75 m/s

In other words, the speed of swimming of Phil is 0.75 m/s.

So, in 2 minutes i.e. in 120 second, the distance Phil can travel:

Distance= Speed x Time

Distance= 0.75 m/s x 120 s

Distance= 90 meters.

Hence, Phil swimmed 90 meters in 2 minutes. The speed of Phil is 0.75 m/s which can be used to determine further distances travelled with time if the motion is uniform.

The probability that the next person will purchase exactly one costume is 319/381.

The overall count of individuals who visited includes all categories of visitors, which comprises of 28 individuals who didn't buy any costume, 319 individuals who acquired one costume, and 34 individuals who bought more than one costume, hence making a total of 381 visitors.

To determine the likelihood of an occurrence, one must divide the number of possible ways that the event could happen by the overall number of potential outcomes.

. Here, the event is a visitor purchasing exactly one costume.

So, the probability that the next visitor will purchase exactly one costume is the number of visitors who purchased exactly one costume (319) divided by the total number of visitors (381).

Therefore, the probability can be written as a fraction 319/381. This fraction cannot be simplified further.

Hence, the probability that the next person will purchase exactly one costume is 319/381.

Read more about probability here:

https://brainly.com/question/13604758

#SPJ1

The number 9,839,038 after indicated rounding off gives the number 9,839,000.

Rounding off of a number is defined as the simplification of the number by keeping the value of the number same but is made closer to the next number.

Rounding can be done for whole numbers as well as decimals.

Given is a whole number 9,839,038.

We have to round it to the place shown where the digit is 9.

Look at the next digit right to 9.

It is 0, which is less than 5.

So replace all the digits next to 9 by 0.

We get the number 9,839,000.

Hence the rounded number is 9,839,000.

Learn more about Rounding Off Numbers here :

https://brainly.com/question/13391706

#SPJ1

Answer:

Step-by-step explanation:

In the Intermediate Phase of mathematics education, one topic that demonstrates a hierarchical and logical progression in patterns, functions, and algebra is the concept of "Linear Equations."

The topic of Linear Equations in the Intermediate Phase builds upon the foundation laid in earlier grades and serves as a stepping stone towards more advanced algebraic concepts. Here is an overview of the topic sequence and content area spread for Linear Equations:

Introduction to Variables and Expressions:

Students are introduced to the concept of variables and expressions, learning to represent unknown quantities using letters or symbols. They understand the difference between constants and variables and learn to evaluate expressions.

Solving One-Step Equations:

Students learn how to solve simple one-step equations involving addition, subtraction, multiplication, and division. They develop the skills to isolate the variable and find its value.

Solving Two-Step Equations:

Building upon the previous knowledge, students progress to solving two-step equations. They learn to perform multiple operations to isolate the variable and find its value.

Writing and Graphing Linear Equations:

Students explore the relationship between variables and learn to write linear equations in slope-intercept form (y = mx + b). They understand the meaning of slope and y-intercept and how they relate to the graph of a line.

Systems of Linear Equations:

Students are introduced to the concept of systems of linear equations, where multiple equations are solved simultaneously. They learn various methods such as substitution, elimination, and graphing to find the solution to the system.

Word Problems and Applications:

Students apply their understanding of linear equations to solve real-life word problems and situations. They learn to translate verbal descriptions into algebraic equations and solve them to find the unknown quantities.

The content area spread for Linear Equations includes concepts such as variables, expressions, equations, operations, graphing, slope, y-intercept, systems, and real-world applications. The progression from simple one-step equations to more complex systems of equations reflects a logical sequence that builds upon prior knowledge and skills.

By following this hierarchical progression, students develop a solid foundation in algebraic thinking and problem-solving skills. They learn to apply mathematical concepts and procedures in a systematic and logical manner, paving the way for further exploration of patterns, functions, and advanced algebraic topics in later phases of mathematics education.

Answer:

See attached

Step-by-step explanation:

Refer to picture

Answer:

A = 35 cm²

Step-by-step explanation:

the area (A) of a rectangle is calculated as

A = length × width

by counting the squares on the sides

length = 7 cm and width = 5 cm , then

A = 7 × 5 = 35 cm²

Integrate by parts with

\(u = f(\phi) \implies du = f'(\phi) \, d\phi = (2\phi - 1) \, d\phi\)

\(dv = d\phi \implies v = \phi\)

to evaluate the integral in the definition of \(f\).

\(\displaystyle \int_0^1 f(\phi) \, d\phi = \phi\,f(\phi) \bigg|_0^1 - \int_0^1 \phi(2\phi-1) \, d\phi = f(1) - \frac16\)

Now if \(\phi=1\), we have

\(f(1) = 1^2 - 1 - \left(f(1) - \dfrac16\right) \implies 2f(1) = \dfrac16 \implies f(1) = \dfrac1{12}\)

and so

\(\displaystyle \frac1{12} = 1^2 - 1 - \int_0^1 f(\phi) \, d\phi \implies \int_0^1 f(\phi) \, d\phi = -\frac1{12}\)

It follows that

\(\displaystyle \int_0^2 f(\phi) \, d\phi = \int_0^2 \left(\phi^2 - \phi + \frac1{12}\right) \, d\phi \\\\ ~~~~~~~~~~~~~~~ = \left(\frac{\phi^3}3 - \frac{\phi^2}2 + \frac\phi{12}\right) \bigg|_0^2 \\\\ ~~~~~~~~~~~~~~~ = \frac{2^3}3 - \frac{2^2}2 + \frac2{12} \\\\ ~~~~~~~~~~~~~~~ = \boxed{\frac56}\)

1. 15°= 15π÷180 = π÷12

2. 40° = 40π÷180 = 2π÷9

3. 65°= 65π÷180 = 13π÷36

4. 21°= 21π÷180= 7π÷60

5. 81°= 81π÷180 = 9π÷20

Answer:

16

Step-by-step explanation:

80maths

due in 5 days

do same # every day, x problems

so she needs to do x= 80/5 =16 per day

Answer:

6

Step-by-step explanation:

so 6 times 10 equals 60, 60 times 6 is 360 so there you go  

Looking at the question, the answer gotten is:$4316.55. The question is related to compound interest.

Compound interest is known to be the interest that is earned on a principal sum in addition to the accumulated interest previously. It is as a result of reinvesting interest.

To find the compound interest, the formula used is:

A= P(1+r/n)^nt.

Where

P is the principal sum= $3500

r is the rate = 0.035

n is the compounding period = 12 months.

t is the time = 6 years.

Substituting them in the equation, we have:

A = 3500 ( 1 + 0.035/12)^12×6

Working out the one in the bracket and multiplying the exponent, we have:

A = 3500 (1.00291667)^72

Note: We got 72 by multiplying 12 by 6.

1.00291667 raised to the power of 72 = 1.23330133

A = 3500× 1.23330133 = $4,316.55

Ans: $4,316.55

Learn more about compound interest on https://brainly.com/question/24274034

Answer:

6ft

Step-by-step explanation:

Just use 11 ft - 5ft = 6 ft

Have a good day

The coordinates of point B are (-3, 17).

The given equation is M = I₁ + I₂ = 31 + 32.

Now let's substitute in our given values:

(-2, 2) = ((-5 + x₂) / 2, (-5 + 2 + y₂) / 2)

We will now set up two equations to solve for our two unknowns, x₂ and y₂:

Equation 1: (-5 + x₂) / 2 = -4

Multiply both sides by 2:

-5 + x₂ = -8

Add 5 to both sides:

x₂ = -3

This gives us the x-coordinate of point B.

Equation 2: (-5 + 2 + y₂) / 2 = 7

Simplify:

(-3 + y₂) / 2 = 7

Multiply both sides by 2:

-3 + y₂ = 14

Add 3 to both sides:

y₂ = 17

This gives us the y-coordinate of point B.

Therefore, the coordinates of point B are (-3, 17).

For more such questions on coordinates

https://brainly.com/question/29660530

#SPJ8