Mathematics College



Which describes the slope of this line?



Number graph ranging from negative five to five on the x and y axes. A line is drawn on the graph that passes through (zero, negative three) and (two, one).



negative slope

positive slope

undefined slope

zero slope

Answers

Answer 1
I take the points that you gave. Let named A(0,-3) and B(2,1)

The slope coefficient is  S= (yb-ya)/(xb-xa)

S= (1-(-3))/(2-0) => S= (1+3)/2 = 4/2= +2 => S= +2

The correct answer is     positive slope
Good luck!!!

Related Questions

Complete the factorization of 3x2 – 5x + 2.

Which two factors can be multiplied together to make this trinomial?

(x – 2)
(x – 1)
(x + 1)
(3x – 2)
(3x + 2)

Answers

3x² - 5x + 2 
= 3x² - 3x - 2x + 2
= 3x(x-1) - 2(x-1)
= (x-1)(3x-2)

the answers are (x-1) and (3x-2)

A biologist studied the populations of common guppies and Endler's guppies over a 6-year period. the biologist modeled the populations, in tens of thousands, with the following polynomials where x is time, in years.

common guppies: 3.1x^2+6x+0.3

Endler's guppies: 4.2x^2-5.2x+1

what polynomial models the total number of common and Endler's guppies

Answers

We can say that total number of guppies would simply be the sum of two polynomials.
To get our answers we need to add those two polynomials. We add polynomials by adding their like terms. Like terms are those that have the same exponent.
[tex]3.1x^2+6x+0.3+4.2x^2-5.2x+1=\\=(3.1x^2+4.2x^2)+(6x-5.2x)+(0.3+1)=\\ =7.3x^2+0.8x+1.3[/tex]
So the total amount of guppies would be modeled using this polynomial:
[tex]7.3x^2+0.8x+1.3[/tex]

what polynomial models the total number of common and Endler's guppies

your answer will be:

7.3x^2+0.8+1.3

Step-by-step explanation:

this answer correct for 2022

Find the banker's interest to the nearest cent. Principal: $2,500; Rate: 9%; Time: 180 days: Interest: ? (based on a 365 day year).

Answers

You can solve this problem by applying the Simple interest formula, which is:
 
 I=PxRxT
 
 I: Simple Interest.
 P: Principal.
 R: Rate
 T: Time (It must be expressed in years or a fraction of years).
 
You have:
 
 P=$2500
 R=9%=0.09
 T=180 days=180/365
 
 When you substitute these values into the formula, you obtain:
 
 I=PxRxT
 I=($2500)(0.09)(180/365)
 I=$110.959

Final answer:

The banker's interest rounded to the nearest cent is approximately $110.60.

Explanation:

To calculate the banker's interest on a principal of $2,500 at a rate of 9% for 180 days, you would apply the formula for simple interest:

Interest = Principal × rate × time

Since time needs to be expressed in years and the rate as a decimal, convert 180 days into a fraction of a year by dividing by 365:

Time (in years) = 180 / 365 ≈ 0.4932

Convert the rate to a decimal:

Rate (as a decimal) = 9% = 0.09

Now calculate the interest:

Interest = $2,500 × 0.09 × 0.4932 ≈ $110.595

Thus, the banker's interest rounded to the nearest cent is approximately $110.60.

Action wheels manufacturers models of antique cars for collectors. In August , it manufactured 300 model cars. In September, action wheels manufactured 5% fewer model cars than in August . What is the difference in the numbers of cars manufactured in August and September?

Answers

Hello! 300 cars were manufactured in August, and 5% fewer cars were made in September, compared to August. 5% fewer only means 5% less of the number 300, which means that in September, it made 95% of the amount of cars made in August. For this, what we do is multiply 300 by 95%. 300 * 95% (0.95) is 285. Now, what we do is subtract both numbers from each other to find the difference. 300 - 285 is 15. There. The difference of the amount of cars made in the two months is 15.

The difference in the number of cars manufactured in August and September is 15 cars.

The difference in the number of cars manufactured in August and September can be calculated as follows:

In August, Action Wheels manufactured 300 model cars.In September, they manufactured 5% fewer cars than in August, which means they made 95% of the cars they made in August.Calculating the number of cars manufactured in September: 300 * 0.95 = 285 cars.Therefore, the difference in the numbers of cars manufactured in August and September is 300 - 285 = 15 cars.

a square has 4 right angle corners. give another shape with 4 right angle corners

Answers

Another shape could be a rectangle. 

what is the gcf of the numerator and denominator of the rational expression
3x-15/x^2-x-20


A: x-5
B: x+4
C: 4
D: 5

Answers

[tex] \frac{3x-15}{x^2-x-20} = \frac{3(x-5)}{(x+4)(x-5)}[/tex]

The only common factor is (x -5).

Selection A is appropriate.

Make a comparison between the government’s roles in a capitalist economic system versus a socialist or communist economic system.

Answers

Hello!

In a Capitalist Economic System, the government is expected to guarantee the respect to private property, promulgate laws that defend economic freedom, and is an intermediary between the private sector and society. In this economic system, the government is reduced an doesn't intervene in the free market. 

In a Socialist or Communist Economic System, the government redistributes goods and services, takes the means of production (private property) from their owners to put them in service of the working class, promulgate laws that limit economic freedom and heavily intervenes in the market and economy.

Have a nice day! 

A capitalist economic system is built on the respect of private property and competition. Hard work and free enterprise benefit citizens more than the government can. For the most part, government intervention is reduced. However, the government does provide security and some basic services, like infrastructure, to its citizens.

Socialist and communist systems endure more government control. Citizens of these economies have a limited amount of freedom by law. The government controls the market place and the production of most goods and services.

^ My answer from Edge

What fraction is equivalent to the fraction 0/6

Answers

0/2.

Since this is equal to zero, the answer could actually be any number in the demoninator and zero in the numerator.

Hope this helps!

A certain lottery has 3434 numbers. in how many different ways can 44 of the numbers beâ selected? (assume that order of selection is notâ important.)

Answers

the correct question is
A certain lottery has 34 numbers. in how many different ways can 4 of the numbers be selected? (assume that order of selection is not important.)

we know that
C=n!/[(n-r)!*r!]
n=34
r=4
then
C=34!/[(34-4)!*4!]=34*33*32*31/[4*3*2*1]=46376 

the answer is 46376

Given: KLMN is a parallelogram, KA − angle bisector of ∠K LA − angle bisector of ∠L Prove: m∠KAL = 90°

Answers

Final answer:

This answer explains how to prove that angle KAL is 90 degrees in a parallelogram using angle bisectors.

Explanation:

To prove: m∠KAL = 90°

Given: KLMN is a parallelogram, KA - angle bisector of ∠K, LA - angle bisector of ∠L.

Proof:

Since KA and LA are angle bisectors in parallelogram KLMN, m∠K = m∠L.In a parallelogram, consecutive angles are supplementary, so m∠K + m∠L = 180°.Substitute m∠K for m∠L in the above equation: m∠K + m∠K = 180°, which simplifies to 2m∠K = 180°, giving m∠K = 90°.

Proved that the measure of angle KAL is 90 degrees, which means that angle KAL is a right angle.

To prove that [tex]\( m\angle KAL = 90^\circ \)[/tex], we need to use the properties of angle bisectors and parallelograms.

Step 1: Identify the properties of a parallelogram.

In a parallelogram, opposite sides are equal in length, and opposite angles are equal. Also, adjacent angles are supplementary, meaning they add up to 180 degrees.

Step 2: Apply the properties to parallelogram KLMN.

Since KLMN is a parallelogram, we have:

[tex]\[ m\angle K + m\angle L = 180^\circ \][/tex]

[tex]\[ m\angle K = m\angle M \][/tex]

[tex]\[ m\angle L = m\angle N \][/tex]

Step 3: Use the properties of angle bisectors.

An angle bisector divides an angle into two equal parts. Therefore, we have:

[tex]\[ m\angle KAK = m\angle KAA \][/tex]

[tex]\[ m\angle LAL = m\angle LAA \][/tex]

Step 4: Express the angles in terms of the bisected angles.

Since KA is the angle bisector of [tex]\( \angle K \)[/tex], we can express [tex]\( m\angle KAK \)[/tex]and [tex]\( m\angle KAA \)[/tex] as half of [tex]\( m\angle K \)[/tex]:

[tex]\[ m\angle KAK = m\angle KAA = \frac{1}{2}m\angle K \][/tex]

Similarly, since LA is the angle bisector of [tex]\( \angle L \)[/tex], we can express [tex]\( m\angle LAL \)[/tex] and [tex]\( m\angle LAA \)[/tex] as half of [tex]\( m\angle L \)[/tex]:

[tex]\[ m\angle LAL = m\angle LAA = \frac{1}{2}m\angle L \][/tex]

Step 5: Use the supplementary angle relationship.

Since [tex]\( \angle K \)[/tex] and [tex]\( \angle L \)[/tex] are supplementary, we have:

[tex]\[ m\angle K + m\angle L = 180^\circ \][/tex]

Dividing both sides by 2, we get:

[tex]\[ \frac{1}{2}m\angle K + \frac{1}{2}m\angle L = 90^\circ \][/tex]

Step 6: Substitute the expressions for the bisected angles.

[tex]\[ m\angle KAK + m\angle LAL = 90^\circ \][/tex]

[tex]\[ \frac{1}{2}m\angle K + \frac{1}{2}m\angle L = 90^\circ \][/tex]

Step 7: Recognize that [tex]\( m\angle KAL \)[/tex] is the sum of [tex]\( m\angle KAK \)[/tex]and[tex]\( m\angle LAL \)[/tex].

[tex]\[ m\angle KAL = m\angle KAK + m\angle LAL \][/tex]

Step 8: Substitute the values from Step 6 into the equation from Step 7.

[tex]\[ m\angle KAL = \frac{1}{2}m\angle K + \frac{1}{2}m\angle L \][/tex]

[tex]\[ m\angle KAL = 90^\circ \][/tex]

Identify the pair of alternate interior angles.

Question options:



A.) 2 and 8



B.) 1 and 8



C.)2 and 7



D.) 4 and 6

Answers

the answer is d) 4 and 6

share 747 pound in the ratio 2:7 betwen tom and ben

Answers

2p + 7p = 747
9p = 747 divded by 9 = 83
2 * 83 = 166    7 * 83 = 581

Hope it helps

Solve for X.
x - 7.9 = 2.23

Answers

x=10.13 is the correct answer I think
Isolate the x

add 7.9 to both sides

x - 7.9 (+7.9) = 2.23 (+7.9)

x = 2.23 + 7.9

x = 10.13

hope this helps

In a circle with a radius of 26.9 m, an arc is intercepted by a central angle of 9π5 radians.

What is the arc length?

Use 3.14 for π and round your final answer to the nearest hundredth.

Make sure to show your calculations.

Answers

Step 1
find the length of a circumference 
L=2*pi*r-------------> 2*pi*26.9=53.8*pi m

Step 2
find the arc length
if 2*pi radians --------------> 53.8*pi m
 (9/5)*pi radians------------> X

X=[(9/5)*pi*53.8*pi]/[2*pi]-------------> [9*53.8*pi]/[5*2]=152.04 m

the answer is 152.04 m

152.04 is right i just took the test

your welcome ;)

4j-2/2=4j+5

4j minus 2 divided by 2 equals 4j plus 5 ?

Answers

if your question is:
[tex] \frac{4j - 2}{2} = 4j + 5[/tex]
then this is the answer:
[tex] \frac{4j - 2}{2} \times 2 = 2 \times (4j + 5)[/tex]
[tex]4j - 2 = 8j + 10[/tex]
4j - 2 - 4j = 8j + 10 - 4j
-2 = 4j + 10
-2 - 10 = 4j + 10 - 10
-12 = 4j
[tex] \frac{ - 12}{4} = \frac{4j}{4} [/tex]
-3 = j
j = -3

The solution to the equation (4j - 2) / 2 = 4j + 5 is j = -3. The equation was simplified by eliminating fractions and isolating the variable j through algebraic steps.

To solve the equation (4j - 2) / 2 = 4j + 5 for the variable j, you can follow these steps:

1. First, simplify both sides of the equation:  

  (4j - 2) / 2 = 4j + 5

2. Multiply both sides of the equation by 2 to eliminate the fraction:

  4j - 2 = 2 * (4j + 5)

3. Distribute the 2 on the right side:

  4j - 2 = 8j + 10

4. Move the variable terms to one side of the equation and the constants to the other side. You can do this by subtracting 8j from both sides:

  4j - 8j - 2 = 10

5. Combine like terms:

  -4j - 2 = 10

6. Add 2 to both sides to isolate the variable term:

  -4j = 10 + 2

  -4j = 12

7. Finally, divide both sides by -4 to solve for j:

  j = 12 / -4

  j = -3

So, the solution to the equation is j = -3.

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The mean of people in the sample of households of 7th-grade students is 4.3. The mean of people in the sample of households for 8th-grade students is 4.5. What might Principal Coleman infer or predict about the entire population based on the data?

Answers

Arithmetic mean is used to describe the sum of values in a dataset divided by the number of values. It s the average of a given dataset which gives us an idea about the average value in a data set. That said, a mean of 4.3 means in the household sample (the average number of students in the data set falls within probably 4 and 4.7 probably). On the other hand,.a mean of 4.5 means there are more 8th graders than 7th graders. An increase of 0.2 from the 4.3 shows that the number of 8th graders slightly surpasses 7th graders. The principal can predict that there are more students in 8th grade because they have a higher average.

Answer:

The mean of something is the "average"

For example, if the mean of people in the households of 7th-grade students is 4.3, this means that if you go to a random house of a 7th-grade student, you can expect around 4 people in there.

Now, for the  7th-grade students, the mean is 4.5, just a 0.2 bigger. (This means that, on average, there is more people in the 8th-grade student's households)

So Principal Coleman can infer that the amount of people in the households of  7th-grade students and 8th-grade students is almost the same, wherein the 8th-grade students there is a small chance of finding more people, but this difference is almost depreciable.

How many possible outcomes exist when Louisa spins the spinner below twice? The spinner is numbered from 1-8.

Answers

There are 8 outcomes for each spin.
So for two spins there are 8*8=64 possible outcomes, order counts, i.e. 5-3 is different from 3-5.

Answer:

The total number of possible outcomes are:

64

Step-by-step explanation:

It is given that:

Louisa spins the spinner below twice.

The spinner is numbered from 1-8.

Now, on spinning the spinner twice we obtain the sample space as:

(1,1)   (1,2)....................(1,8)

(2,1)  (2,2)...................(2,8)

(3,1)   (3,2)..................(3,8)

(4,1)   (4,2)..................(4,8)

(5,1)   (5,2)..................(5,8)

(6,1)   (6,2)..................(6,8)

(7,1)   (7,2)..................(7,8)

(8,1)   (8,2)..................(8,8)

Hence, the total number of outcomes is equal to the number of elements in sample space.

Hence, the total number of possible outcomes are:

64

What are the solutions of the system? Solve by graphing. y=x2-2x-1 y = -2

Answers

To solve this problem you must:

 1. Rewrite the equations:

 y=x²-2x-1  (i)
 
 y=-2  (ii)

 2. Then: 

 (i)=(ii)

 -2=x²-2x-1

 3. Now, you must order the terms and and factorize, as below:

 (x-1)(x-1)=0
 (x-1)²=0

 4. The solution is:

 x=1

 You can see that the graphs attached touch each other in x=1. Therefore, the solution is x=1
 
 

Deposit $400 into an account that pays simple interest at rate of 4% per year how much interest will she be paid in the first 6 years

Answers

Deposit = $400
Simple interest = 4% 

Simple interest for one year = 4% of $400 = 0.04 x 400 = $16
Simple interest for 6 years = 16 x 6 = $96

Total interest for 6 years is $96

How many sequences of length 5 can be made when each component of the sequence can take 3 different values?

Answers

Each position in the sequence has 3 choices, and there are 5 positions, so we multiply 3 by itself 5 times:

[tex]3^5=243[/tex]

find d for the arithmetic series with S17=-170 and a1=2

Answers

so, we know the sum of the first 17 terms is -170, thus S₁₇ = -170, and we also know the first term is 2, well

[tex]\bf \textit{ sum of a finite arithmetic sequence}\\\\ S_n=\cfrac{n(a_1+a_n)}{2}\qquad \begin{cases} n=n^{th}\ term\\ a_1=\textit{first term's value}\\ ----------\\ n=17\\ S_{17}=-170\\ a_1=2 \end{cases} \\\\\\ -170=\cfrac{17(2+a_{17})}{2}\implies \cfrac{-170}{17}=\cfrac{(2+a_{17})}{2} \\\\\\ -10=\cfrac{(2+a_{17})}{2}\implies -20=2+a_{17}\implies -22=a_{17}[/tex]

well, since the 17th term is that much, let's check what "d" is then anyway,

[tex]\bf n^{th}\textit{ term of an arithmetic sequence}\\\\ a_n=a_1+(n-1)d\qquad \begin{cases} n=n^{th}\ term\\ a_1=\textit{first term's value}\\ d=\textit{common difference}\\ ----------\\ n=17\\ a_{17}=-22\\ a_1=2 \end{cases} \\\\\\ -22=2+(17-1)d\implies -22=2+16d\implies -24=16d \\\\\\ \cfrac{-24}{16}=d\implies -\cfrac{3}{2}=d[/tex]

for this job , Hayden earns an hourly rate of $30. For each hour he works over 40 hours, he earns 1.5 times his regular hourly rate. In a two-week period, Hayden earns $2175 by working 40 regular hours, plus overtime. How many overtime hours did Hayden work?

Answers

Hayden's hourly rate is $30
Extra hour rate is 1.5×30=$45
given that he earned $2175 by working 40 regular hours, the number of overtime hours he worked will be given as follows;
let the number of overtime be x
hence total amount earned will be:
(40×30)+(45×x)=2175
1200+45x=2175
45x=2175-1200
45x=975
solving for x we get
x=975/45
x=65/3=21 2/3 hours

if m ABC = 116 degrees what is ABC

Answers

If I remember correctly it should be 58 good luck 

Find f '(0.3) for f of x equals the integral from 0 to x of the arccosine of t, dt

Answers

By the fundamental theorem of calculus,

[tex]\displaystyle\frac{\mathrm d}{\mathrm dx}\int_0^x\cos^{-1}t\,\mathrm dt=\cos^{-1}x[/tex]

so that

[tex]f'(0.3)=\cos^{-1}0.3\approx1.266[/tex]

Juno deposited $750 in a savings account that earns 4% interest compounded annually. If she does not deposit or withdraw any more money, how much money will there be in the account after 13 years? Round your answer to the nearest dollar. A. $1249 B. $1360 C. $1427 D. $1140

Answers

The correct answer is A) $1249.

Explanation:
The amount of interest is calculated using the formula
[tex]A=p(1+\frac{r}{n})^{nt}[/tex],

where a is the amount of principal, r is the interest rate as a decimal number, n is the number of times per year the interest is compounded, and t is the number of years.

Our principal is $750, the interest rate is 4%=4/100=0.04, n is 1, and t is 13:
[tex]A=750(1+\frac{0.04}{1})^{13\times1}=750(1+0.04)^{13}=750(1.04)^{13}=1248.81[/tex],

which rounds to 1249.

Answer:

A. $1249.

Step-by-step explanation:

We have been given that Juno deposited $750 in a savings account that earns 4% interest compounded annually. We are asked to find the amount of money in the account after 13 years.

To solve our given problem, we will use compound interest formula. [tex]A=P(1+\frac{r}{n})^{nt}[/tex], where,

A = Amount after t years,

P = Principal amount,

r = Interest rate in decimal form,

n = Number of times interest is compounded per year,

t = Time in years.

Let us convert our given interest rate in decimal form.

[tex]4\%=\frac{4}{100}=0.04[/tex]

Upon substituting our given values in compound interest formula we will get,

[tex]A=\$750(1+\frac{0.04}{1})^{1\cdot 13}[/tex]

[tex]A=\$750(1+0.04)^{13}[/tex]  

[tex]A=\$750(1.04)^{13}[/tex]  

[tex]A=\$750\times 1.665073507310388[/tex]  

[tex]A=\$1248.805130482791\approx \$1249[/tex]  

Therefore, there will be $1249 in Juno's account after 13 years and option A is the correct choice.

Ava bought a rectangular rug for her hallway. The rug is 23 yards wide and 234 yards long. What is the area of the rug as a mixed number in simplest form?

Answers

Area= L*W=234*23=5,382 square yards
5,382 is in the simplest form

this is not a fraction, so i don't see where the simplest form comes in

The area of Ava's rectangular rug is 5382 square yards, calculated by multiplying the width (23 yards) and the length (234 yards).

To find the area of Ava's rectangular rug, we need to multiply its length and width:

Area = length × width

Using the given dimensions: 23 yards wide and 234 yards long:

Area = 23 × 234

First, let's perform the multiplication:

23 × 234 = 5382 square yards

Thus, the area of the rug is 5382 square yards as an improper fraction, which cannot be simplified further as a mixed number. Since the measurements are whole numbers, converting to a mixed number doesn't apply in this case.

You borrow $6,730 to buy a car. the terms of the loan call for monthly payments for 5 years a rate of interest of 6 percent. what is the amount of each payment?

Answers

Loan amount, P=6730
interest, i = 0.06/12 = 0.005 per month
term, n=5 years  = 60 months

Monthly payment, 
A=[tex]\frac{P(i*(1+i)^n)}{(1+i)^n-1}[/tex]
[tex]=\frac{6730(.005*(1+.005)^{60})}{(1+.005)^{60}-1}[/tex]
=130.11  [to the nearest cent]

It takes 212121 minutes for 555 people to paint 777 walls. How many minutes does it take 333 people to paint 555 walls?

Answers

Solution: We are given that:

5 people can paint 7 walls in 21 minutes

Therefore, 1 person can paint 7 walls in [tex] 21 \times 5=105 [/tex] minutes

Which means 1 person can paint 1 wall in [tex] \frac{105}{7} =15 [/tex] minutes

Now, 3 people can paint 1 wall in [tex] \frac{15}{3} =5 [/tex] minutes

Therefore, 3 people can paint 5 walls in [tex] 5 \times 5=25 [/tex] minutes


Answer:

25 :)

Step-by-step explanation:

glenn raced his motorcycle 30 times last season. he finished first 12 times, second 5 times and crashed in 9 races. what percent of races did he crash? set up a proportion and solve.

Answers

The percent he crashed was 33 percent

Final answer:

Glenn crashed in 30% of the races.

Explanation:

To find the percentage of races Glenn crashed, you can set up a proportion. A proportion is an equation that states that two ratios are equivalent. Since Glenn raced 30 times and crashed 9 times, the ratio of crashes to total races is 9 crashes out of 30 races.

You can set up the proportion as follows:
Crashes / Total Races = Percentage of Crashes / 100

Plugging in the known values gives us this:
9 / 30 = Percentage of Crashes / 100

To solve for the percentage of crashes, you multiply both sides of the equation by 100:
(9 / 30)
100 = Percentage of Crashes

Simplifying gives us:
(9/3) 10 = Percentage of Crashes

Hence, the percentage of races that Glenn crashed is 30%.

Suppose p(x1) = .75 and p(y2 | x1) = .40. what is the joint probability of x1 and y2?

Answers

By definition of conditional probability,

[tex]\mathbb P(Y_2\mid X_1)=\dfrac{\mathbb P(Y_2\cap X_1)}{\mathbb P(X_1)}[/tex]

so

[tex]\mathbb P(Y_2\cap X_1)=0.40\times0.75=0.3[/tex]

The joint probability of x1 and y2 is  P (Y₂/X₁ ) = P(Y₂ ∩ X₁ )/ P (X₁) will be 0.3.

What is the probability about?

In the joint probability of x1 and y2 is  P (Y₂/X₁ )= P(Y₂ ∩ X₁ )/ P (X₁).

Therefore:

P(Y₂ ∩ X₁ )

=0.40 x 0.75

= 0.3

Therefore by following the law of conditional probability, the outcome of the The joint probability of x1 and y2 is  P (Y₂/X₁ ) = P(Y₂ ∩ X₁ )/ P (X₁) will be 0.3.

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What document encouraged the colonists to fight until they reached independence? Describe what ancient Greek artists and mathematicians contributed to the history of painting? At the end of "Science and the Sense of Wonder," Asimov notes that everything he has described was discovered after Walt Whitman's time. Imagine that Whitman had known about all those discoveries. Would he have felt differently about astronomy? In a paragraph, respond to that question. State your opinion, and cite details from the essay to support your points. You are creating a budget for your new business. What should you include?A. All income and expenses.B.Fixed expenses but not income.C.Income but not variable expenses.D. Fixed and variable expenses but not taxes. The perimeter of a rectangle is 126 ft. The ratio of its length to its width is 5 : 4. What are the dimensions of the rectangle? 30 ft by 33 ft 35 ft by 28 ft 6 ft by 60 ft 3 ft by 60 ft According to the results of cross-sectional studies, on average older people learn new things more slowly than younger people because Which expressions are polynomials?Select each correct answer.6x + 5x7x^2+5/3xx^2 +5xx^2+5x ^1/5 Three student teams collected 65 books for the school library. The first team collected 10 fewer books than the second team and the third team collected 30% of the number of books collected by first and second teams together. How many books did each team collect? How does the constitution ensure a smooth transition of power in the event of a presidential disability 9xa+9xb write as a product HELP PLEASE!!!!!!! Which of the following is equal to 4 and 1 over 2 divided by 2 and 2 over 3? 4 and 1 over 2 times 2 and 3 over 2 9 over 2 times 8 over 3 9 over 2 times 3 over 8 41 over 2 times 3 over 22 Martha rolls a number cube with sides 1, 2, 3, 4, 5, and 6. What is the probability of NOT rolling a 3? Use the distributive property to create an equivalent expression to 42+6x started an expedition with the goal of colonizing Congo. He hired to explore and establish colonies in Congo. Soon several other European nations started establishing colonies in Africa as well An observer counts 4 complete water waves passing by the end of a dock every 10. seconds. What is the frequency of the waves? Which of the following statements explains why the sugar glider and the flying squirrel both have the ability to glide? A)Both evolved at the same time in geologic history. B)Both interbred and blended their gene pools in the past. C)Both learned to glide by imitating the same kinds of bird species. D)Both adapted to similar niches in which gliding increased their chances of survival. A)Complte par un article convenable :1.Au petit-djeuner, je bois ..th au lait ou ..caf, mais mon frre adore .jus dorange.2.Au restaurant, mon grand-pre commande .riz, et ..viande, mais ma mre prend poulet grill avec .. ptes.3.Comme plat principal, je voudrais .bifteck avec ..frites et comme dessert, je commande ..gteau la crme.4.Au diner, Paul prend soupe aux fruits de mer et comme dessert il commandetarte aux pommes.5.Jadore .glace, mais je naime pas .chocolat.6.Vous voulez eau minrale ou ..caf ?7.Le petit bb aime beaucoup .lait et yaourt.B)Compltez le paragraphe suivant par larticle convenable : Isabelle Marquet a une sur, Sophie. Quand les 2 surs vont au restaurant, Isabelle commande toujours .poisson. Elle aime bien ..poisson. Mais Sophie naime pas du tout ..poisson. Elle aime viande et elle commande toujours ..viande. Elle commande toujours buf. Elle aime son buf point, pas bien cuit. What do Americans today do to remember the large dinner that took place at Plymouth in 1621? How do scientists measure the strength of acids and bases describe this scale? Use euler's theorem to find a number x between 0 and 28 with x85 congruent to 6 modulo 35.