Mathematics College

what is the slope of the line represented by the equation below? y=-2/3x+3

Answers

Answer 1

Answer:

-2/3

Step-by-step explanation:

The slope is the coefficient of x: -2/3.

___

This tells you how much y changes when x changes by 1 unit. The slope is the change in y divided by the change in x.

Related Questions

Select the situation in which one quantity is changing at a constant rate in relation to the other quantity.
a. Barry spends $9 on lunch daily.
b. The market value of a new computer decreases by 6% every year.
c. Nathan's investments increase in value by 13.5% each month.
d. The number of ants in a colony doubles every 8 weeks.

Answers

Choice A is the only one that is changing at a constant rate. The reason is that for all three other choices the new rate is based on a different amount after the percent has been applied or the doubling of the ants has been applied. The price per day for the lunch Is constant because whatever the number of days is the amount would always stay the same for each of those days.

Answer:

A. Barry spends $9 on lunch daily.

Step-by-step explanation:

We are required,

To find the situation in which one constant is changing at a constant rate in relation to the other quantity.

So, according to the options, we have,

A. Barry spends $9 on lunch daily.

Let x= number of days and as the cost of lunch each day is $9

Then, the total cost of the lunch y, is [tex]y=9x[/tex]

Thus, this situation changes the variable with constant rate.

B. The market value of a new computer decreases by 6% every year.

Let, a= fixed initial value of the computer and x= number of years.

Since, the rate of decrease in value = 6% = 0.06

Then, the market value of the computer per year, y, is given by,

[tex]y=a(1-0.06)^x\\\\y=a(0.94)^x[/tex]

Thus, this situation changes the variable exponentially.

C. Nathan's investments increase in value by 13.5% each month.

Let, a= fixed initial investment and x= number of months.

Since, the rate of increase = 13.5% = 0.135

Then, the investment per month, y, is given by,

[tex]y=a(1+0.135)^x\\\\y=a(1.135)^x[/tex]

Thus, this situation changes the variable exponentially.

D. The number of ants in a colony doubles every 8 weeks.

Let, x= number of weeks where 'x' belongs to the se {1,8,16,24,...}.

Since, the number of ants is doubling every 8 weeks.

So, the number of ants in the colony, y, is [tex]y=2^x[/tex]

Thus, this situation changes the variable exponentially.

Hence, the situation that changes the variables with a constant rate is A.

Find the area and the circumference of a circle with radius 2m. use the value 3.14, and do not round your answers. be sure to include the correct units in your answers.

Answers

The area of a circle is given by:
[tex]A_c = \pi r^2[/tex]
Plug and chug:
[tex]A_c = \pi (2)^2 = 12.56m^2[/tex]

Circumference is given by (d = 2r):
[tex]C_c = \pi d[/tex]
Plug and chug:
[tex]C_c = \pi (4) = 12.56m[/tex]

Those are your answers!

Final answer:

The area of a circle with a radius of 2m is 12.56 m² and the circumference is 12.56 m when using 3.14 for π, with both answers having two significant figures due to the radius given with two significant figures.

Explanation:

The area (A) and the circumference of a circle with radius 2m can be found using the formulas A = πr² and C = 2πr. Using 3.14 as the value for π, the calculations would be A = (3.14)(2m)² = 12.56 m² for the area, and C = 2(3.14)(2m) = 12.56 m for the circumference. It is important to note that when performing calculations, the result should have the same number of significant figures as the quantity with the fewest significant figures used in the calculation.

the sum of two numbers is -12 one number is 3 less than twice the other what is the bigger number

Answers

STEP 1:
x= one number
2x-3= other number

x + (2x-3)= -12
combine like terms

3x - 3= -12
add 3 to both sides

3x= -9
divide both sides by 3

x= -3 one number

STEP 2:
substitute x= -3 to find other number
2x-3= 2(-3)-3= -6-3= -9 other number

CHECK:
-3 -9= -12
-12= -12

ANSWER: One #= -3, Other #= -9

Hope this helps! :)

To stay healthy, Kevin’s doctor says he should try to consume at most 2000 inequality to show the amount of calories Kevin should consume

Answers

x greater than or equal to sign 2000

[tex]c \leqslant 2000[/tex]
c stands for calories kevin should consume

Find an equation for the nth term of the arithmetic sequence.

9, 11, 13, 15, ...

Answer Choices
A) an = 9 + 2(n - 1)
B) an = 9 + 2(n + 1)
C) an = 9 + 2
D) an = 9 + 2(n)

Answers

The first term is 9. The common difference is 11 -9 = 13 -11 = 2. The general term has the formula
an = a1 + d(n-1)

Substituting the values above, you have ...
A) an = 9 + 2(n - 1)

what is the measure of C?

Answers

60 degrees
If its an equilateral all angles are equal

I think the answer is 60

Solve each equation f over 28=24

Answers

I need a letter sorry I could not help

Which of the following is a rational number? square root 97 square root 98, square root 99, square root 100

A.)square root 97
B.)square root 98
C.)square root 99
D.)square root 100

Answers

Its D since the square root of 100 is 10

Answer:

Step-by-step explanation:

What is the area of this triangle? A= bh 2 12/13/5 is what it shows and here are the answers [A] 17 m2, [B] 30 m2, [C] 60 m2, [D] 60 m2, [E] 120 m2,

Answers

Assuming "A= bh 2 12/13/5 "
means
given Area=A=bh/2, and
the triangle has sides 5, 12 and 13.
(see diagram attached).

Since (5,12,13) for a Pythagoras triplet, it is a right triangle.
(13^2=12^2+5^2 => 169=144+25)
The two legs are 5 and 12, respectively b & h.
So the area of the triangle is bh/2=5*12/2=30
If the measures are in metres, then the area is 30 m^2.

Jeremy goes to the store where he buys 18 bananas. After two days, he notices that there are only 10 bananas that are left. Which equation below would Jeremy use to find the percent of bananas that he has left?

A. 10/18 = 100/x
B. 18/10 = x/100
C. 5/9 = x/100
D. 10/18 = x/55.5

Answers

Total number of Bananas = 18
Number of Bananas that are left = 10

Percentage of Bananas that are left = x

Mathematically, x can be expressed as:

[tex]x= \frac{10}{18} * 100 \\ \\ \frac{x}{100}= \frac{10}{18} \\ \\ \frac{x}{100}= \frac{5}{9} [/tex]

Thus the correct percentage of number of bananas that are left is expressed by option c.

A bus travels 36 miles in 45 minutes enter the number of miles the bus travels in 60 minutes at this rate

Answers

Write a proportion
36/45=x/60
Cross multiply
45x=36*60
45x=2160
x=48 miles

48 miles.
36 divided by 45 is .8, that is for one minute. So .8 miles times 60 minutes is 48 miles.

Crystal charges a flat fee of $10 plus an additional $5 per hour to babysit given the situation what is the range

Answers

Answer:

perhaps $10 to $10,810

Step-by-step explanation:

We assume Crystal may be willing to babysit for a period of up to 3 months (90 days), so 90×24 = 2160 hours. Her hourly fee for that period will be ...

... (2160 hours) × ($5/hour) = $10,800

That amount added her $10 initial charge may represent the upper limit of her pay. The lower limit will be the $10 initial charge.

_____

Comment on the question

Since no upper limit on hours is given, we conclude the problem is not well-specified.

We can make a variety of different assumptions regarding the upper limit of babysitting time.

We might choose to consider this a daily charge, so the upper limit is $130 per day. We might consider that Crystal is willing to babysit while the child's parents are on a 2-week vacation. We might consider that Crystal is willing to babysit for the duration of her summer vacation from school (about 3 months). This is the assumption we use here.

Can anyone please help me I will give you 13 points and make your answer the brainliest.Please help.

Answers

The true statements are ...

2. All squares are rectangles.

3. Not all parallelograms are rectangles.

_____

The attached diagram shows the relationships between various quadrilataral types. The line connecting a lower box to a higher box means "all of the lower box is a higher box." For example, all square are rectangles, and all rectangles are parallelograms.

However, it is typical for a higher box to have several different lower boxes. That is "a higher box may be any of the list of lower boxes or none of them" For example, a parallelogram may be a rhombus or a rectangle or neither.

Of the members of a student choir, 60% are boys. If there are 21 boys in the choir, how many members does the choir have in total?

Answers

Suppose there are x number of members in all.

Now we are given that 60% of these are boys.

So number of members who are boys = 0.6x

We are also given that there are 21 boys in the choir.

So making an equation ,

[tex] 0.6x =21 [/tex]

dividing both sides by 0.6,

x= 35

So there are total 35 members in the choir.

Camelle manages her soccer team. She needs to order 4 practice jerseys for each player. There are y players. How many total practice jerseys does she need to order?

Answers

T= total # of jerseys to order
y= # of players

T= 4*y
Total equals 4 times # of players

T= 4y

Hope this helps! :)

Answer:

The required number of total practice jerseys does she need to order is '4y'.

Step-by-step explanation:

Given : Camelle manages her soccer team. She needs to order 4 practice jerseys for each player. There are y players.

To find : How many total practice jerseys does she need to order?

Solution :

Let the total practice jerseys does she need to order be 'x'.

According to question,

She needs to order 4 practice jerseys for each player.

Number of players are y.

So, Total jerseys she needs is

[tex]x=4\times y[/tex]

[tex]x=4y[/tex]

Therefore, The required number of total practice jerseys does she need to order is '4y'.

Which statements are true?

Choose all answers that are correct.

A.

All quadrilaterals can be classified as either parallelograms or trapezoids.

B.

All rhombuses are parallelograms.

C.

Some trapezoids are parallelograms.

D.

Some parallelograms are squares.

Answers

Answer:

Step-by-step explanation:

B, C and D

If 8 identical blackboards are to be divided among 4 schools, how many divisions are possible? how many if each school must receive at least 1 black- board?

Answers

We usually distribute smartboards instead of blackboards these days!

We have a stars and bars problem.

We represent the blackboards by n=8 stars, and divide into k=4 schools (A,B, C & D) using three bars. Two consecutive bars or a bar at the end means that school has no blackboards.

For example,
*|***|*|***
Means there are two schools with 1 blackboard, and two other ones with three blackboards. Another example:
|*||*******
will mean there are two schools (A &C) with no boards, and B will have one, while school D will have 7.

So the problem reduces to counting the number of ways we can put the three identical bars.

If there is no minimum number of boards for each school, then we can place the k=4 bars at n+1=8+1=9 locations each.
Using combination notation, there are
C(n+1, k-1)=C(8+1,4-1)=C(9,3)=9!/(3!(9-3)!)=84 ways of distributing 8 blackboards to 4 schools.

On the other hand, if there is a minimum of one board for each school, then each school will get one, leaving 4 to be distributed as above, in
C(4+1,4-1)=C(5,3)=5!/(3!(5-3)!)=10 ways.

What are the coordinates of the vertex of the table? Is it a minimum or a maximum?
X Y
0 1
-1 -2
-2 -3

Answers

For this case, we must first graph the function to observe the behavior of the same.
We see that the vertex of the function is located at the point:
(x, y) = (- 2, -3)
The point is a minimum.
Answer:
(x, y) = (- 2, -3)
It is a minimum.
See attached image.

Which of the following are the coordinates of the vertex of y=-x^2+2x+1

Answers

y=-x²+2x+1
way 1:
common equation of parabola is y=ax²+bx+c.
rule: x₀=-b/(2a), y₀=-D/(4a), where x₀ and y₀ are coordinates of the vertex.
According to the described rule above x₀=(-2)/(-2)=1, y₀=8/4=2.
The vertex is (1;2).
way 2:
re-write the given equation into the form y=(x+m)²+n.
y=-(x-1)²+2.
Rule: point (-m;n) is vertex of the parabola.
According to the described rule the vertex is (1;2).

Jorge is standing at a horizontal distance of 25 feet away from a building. his eye level is 5.5 feet above the ground and looking up he notices a window washer on the side of the building at an angle of elevation of 65, how high is the window washer above the ground

Answers

Find x using SOHCAHTOA
tan65 =x/25
x=25tan65
x=53.613ft
Answer is (5.5+53.613)ft
=59.113ft

I will give you brainliest.

simplify the ratio 120 cm / 1 m.

A 1 / 1

B 2/1

C 5 / 6

D 6 / 5

Answers

The answer is D 6/5
Because 1m = 100cm
When divided gives 6/5 or 1.2

There is 100 cm in 1m so 120cm/ 1m is the same as 120 cm/ 100 cm which you could then simplify by dividing by 20 and get 6/5 so the answer is D

What is the diameter of a circle that has an area of 452.16 mm 2? 144 mm 12 mm 24 mm 6 mm

Answers

[tex]\bf \textit{area of a circle}\\\\ A=\pi r^2\quad \begin{cases} r=radius\\ -----\\ A=452.16 \end{cases}\implies 452.16=\pi r^2 \\\\\\ \cfrac{452.16}{\pi }=r^2\implies \sqrt{\cfrac{452.16}{\pi }}=r\implies 11.99695787\approx r[/tex]

now, that's the radius of the circle, recall that the diameter is twice the radius.

Answer:

the diameter is 24

Step-by-step explanation:

If 12 is replaced with 3 in the following set, what will happen to the value of the range?

28, 45, 12, 34, 36, 45, 19, 20

It will increase.
It will decrease.
It will stay the same.

Answers

Since the range of a set of numbers is based entirely on the smallest number and the largest number (the largest number minus the smallest), and since 12 is the smallest number, the value of the range will decrease.

Your correct answer is A: it will increase.

Hope this helps. :)

Find the 29th term of the following sequence. 21, 15, 9, 3, . . .

Answers

BEST ANSWER IS -153......

Answer:

The correct answer would be -147

Step-by-step explanation:

What are the zeros of the polynomial function f(x) = x3 – 4x2 – 12x

Answers

fx=x3−4x2−12x.‌fx/x‌=‌x3−4x2−12x/x‌

f=x2−4x−12

x³ - 4x² - 12x
x(x² - 4x - 12)
x(x - 6)(x + 2)
x = 0
x = 6
x = -2
The zeros are 0, 6, and -2

Your friend asks you to make picture frames and will give you 5 5 nickels for the first frame. You agree to help if she multiplies your payment by 5 5 for each frame completed. After 2 2 frames, you will receive 25 25 nickels, and after 3 3 frames, you will receive 125 125 nickels. What is the number of nickels for tenth frame?

Answers

Final answer:

To find the number of nickels for the tenth frame, we calculate 5 imes 5^9, which equals 9,765,625 nickels. This is a geometric sequence where the common ratio is 5, and the first term for the first frame is 5 nickels.

Explanation:

The question asks about the payment received for making picture frames where the payment is multiplied by 5 for each subsequent frame. To find out the number of nickels for the tenth frame, we can use the concept of geometric sequences, where each term is found by multiplying the previous term by a common ratio. The common ratio in this case is 5.

For the first frame, you get 5 nickels. For the second frame, 5 multiplied by 5 is 25 nickels. To find the payment for the tenth frame, we multiply the payment of the first frame by the common ratio to the power of the frame number minus one: 5 imes 5^(10-1) = 5 imes 5^9.

Calculating 5 to the power of 9 gives us 1,953,125. Multiplying this by 5 gives us 9,765,625 nickels for the tenth frame.

A line and a plane are considered parallel if they have no points in common. True or False?

Answers

True Bc they both have two lines that are point in the same direction

Given the information below, match the following items.

Given statement: If two angles add to 180°, then they are supplementary.

1.converse
2.inverse
3. contrapositive

If two angles are supplementary, then they add to 180°

If two angles do not add to 180°, then they are not supplementary. 3.contrapositive

If two angles are not supplementary, then they do not add to 180°.

Answers

Let this be the guide in dealing with conditional statement.

Statement = if p, then q
Converse = if q, then p
Inverse = if NOT p, then NOT q
Contrapositive = if NOT q, then NOT P.

Statement:
If two angles add to 180°, then they are supplementary.

Converse:
If two angles are supplementary, then they add to 180°

Inverse:
If two angles do not add to 180°, then they are not supplementary.

Contrapositive:
If two angles are not supplementary, then they do not add to 180°

Answer:

Converse- If two angles are supplementary, then they add to 180°

Inverse- If two angles do not add to 180°, then they are not supplementary.

Contrapositive- If two angles are not supplementary, then they do not add to 180°

Step-by-step explanation:

Write 9.79 x 10^5 in standard notation

Answers

the number 9.79*10^5 in standard notation is 9.79*100000=979,000

If male and female college students work an average of 15 hours per week during the school year and the standard deviation is 5.4 for male students and 2.3 for female students, what may we conclude?

Answers

The variance of hours males spend working is almost two times as large as females. 60% of those females are more likely to work between 12.7 to 17.3 hours while 60% of the males work between 9.6 to 20.3 hours based on one standard deviation.

Answer: the male sample is more spread than the female sample

Step-by-step explanation:

The mean is the same for both genres, but the standard deviation form males is bigger than the one for females.

This means that the data of the male students is more spread than the female data (so there are more male students that study more hours, but there also are more male students that study less hours).

So the general conclusion is that the male sample is more spread than the female sample

Other Questions

While training for a marathon, Sean runs at least 28 miles a week. He has already ran 6 miles this week. The inequality shown can be used to find m, the number of miles Sean still needs to run this week. m + 6 28 Which inequality represents the solution set for this situation? A) m 22 B) m 22 C) m 34 D) m 34 a wheel has a radius of 12 cm approximately how far does it travel in 2 revolutions The distance between 2 points is found by ________ the x terms and squaring the result, _________ the y terms and squaring the result, taking the sum of the results and then finding the square root of the sum. subtracting; subtracting adding; adding adding; subtracting subtracting; adding ASAPThe Choir Booster Club had a budget of $1,300.00 at the start of the school year. They spend $225.30 on t-shirts, $482.25 on lost uniforms, and $135.68 on a holiday party. How much does the booster club have left in their budget?A.$1,543.23B.$1,074.70C.$543.27D.$456.77 what is the relationship between ionic bonds and cleavage help asap Explain the main conflict between a character and society in The Lottery. In "The First Seven Years" by Bernard Malamud, Feld's daughter Miriam has different dreams than her father becauseA.she has been misguided by her life experience.B.she must rebel against her father's values at any cost.C.she has different priorities and passions than her father.D.she prefers the materialism of Max to her father's idealism. Describe how a sunshine recorder works Identify the sentence structure. They sat listening to the speech. A)simple B)compound C)complex D)compound-complex A bacterial population that has been growing for 15 generations began as a single cell. how many cells are present now? A child designs a flag in the shape of a rhombus, as shown in the diagram below. Which expression can be used to determine the side length of the rhombus? Charlie is trying to hold on to his toy fire truck.His brother Noah is pulling with a force of 8 N on a bearing of 023 and his brother Jude with a force of 5 N on a bearing of 155.What force does Charlie need to exert to keep the toy in equilibrium?If you could explain it using Cartesian vectors, that would be the best. The expiration date on a product refers to the last date a product should be __________.A.sold to a customerB.used before chances of spoiling increaseC.packaged and put out on the shelvesD.thrown away if not eaten The branch of the autonomic nervous system that slows down the body as it recovers from exposure to a stressor is the _______________ nervous system What is the correct formula for the compound formed between sodium and iodine based on their positions in the periodic table? The area of a triangle is 1440cm^2 the base of tge triangle is 5 times the height of the triangle One of the main economic goals of the African Union is toA)promote peace and security on the continent.B)unite all member nations under a single government.C)develop a working constitution for each member nation.D)reduce trade barriers and promote free trade among member nations. The first genetic material on earth was probably ________. the first genetic material on earth was probably ________. dna produced by reverse transcriptase from abiotically produced rna dna molecules whose information was transcribed to rna and later translated in polypeptides self-replicating rna molecules oligopeptides located within protocells A set of cards contains the numbers 1 through 20. Mathieu chooses a card a random, records the number of the card, and then returns the card to the set. He conducts 200 trials of this event. Based on the theoretical probability, how many times can Mathieu expect to choose a multiple of 5?