The graph shows the average speed of Car 1 which is traveling on a highway. The equation y= 55x represents the average speed of Car​ 2, where y is the distance in miles and x is the time in hours. Which car is traveling at the greater​ speed?

Ahmad has been given a list of bands and asked to place a vote.

His vote must have the names of his favorite, second favorite, and third favorite bands from the list. Therefore, he needs to choose three bands out of the list of bands. Let's say there are n bands in the list.Therefore, the number of different votes that are possible is equal to the number of ways Ahmad can choose three bands out of n.

We can calculate this using the combination formula:

n C₃ = (n!)/(3!(n - 3)!)

where n! means n factorial,

or n × (n - 1) × (n - 2)  × 3 × 2 × 1.

For example, if there are 5 bands in the list, then the number of different votes possible would be:

5C₃ = (5!)/(3! × 2!) = (5 × 4 × 3)/(3 × 2 × 1) = 10

there are 10 different votes that are possible when there are 5 bands in the list.In general, if there are n bands in the list, then the number of different votes that are possible is:

n C₃ = (n!)/(3!(n - 3)!)I hope that helps!

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huh? where's the shape

Answer: She walked 575 miles on the fourth day.

Step-by-step explanation: 2614-613-912-514= 575

Answer: The sequence generated is 10, 8, 6, 4, 2, ...

This sequence is arithmetic with starting term 10 and common difference -2. This means we add -2 to each term to get the next one (same as subtracting 2 from each term). This common difference is directly connected to the -2 from the recursive rule f(n+1) = f(n)-2

Whatever the nth term f(n) is, we subtract off 2 to get f(n)-2 to get the f(n+1) term, which is right after the nth term.

Answer:

Step-by-step explanation:

f(1)=10

n=1

f(1+1)=f(1)-2

f(2)=10-2=8

n=2

f(2+1)=f(2)-2

f(3)=8-2=6

n=3

f(3+1)=f(3)-2

f(4)=6-2=4

so sequence is 10,8,6,4,...

An osteoblast is referred to as an osteocyte when it is entirely encircled by the secretions of its own matrix.

Osteocyte is a specific kind of bone cell that develops when the osteblast, which produces the bone's structural material, is surrounded by material that it has released on its own. Osteocytes, which make up 90–95% of the cells in bone tissue as opposed to osteoclasts and osteoblasts, which make up just 5%, are the longest-living bone cells. (40). Osteoblasts develop into osteoocytes when they are implanted in the mineral matrix of bone and acquire unique properties.

Osteocytes function as endocrine cells, emitting hormones to regulate local deposit of minerals and chemistry at the cellular level of the bone matrix as well as phosphate transport to other organs like the kidney. Osteocytes appear to be principally responsible for many bone activities.

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Answer: (x ÷ 7) - 10 < -6

Step-by-step explanation:

By adapting Euclid's proof for prime integers, we can show that there are infinitely many monic irreducible polynomials in the polynomial ring K[x], where K is a field.

Let's consider the polynomial ring K[x], where K is a field. To show that there are infinitely many monic irreducible polynomials in K[x], we can adapt Euclid's proof for prime integers.

Assume we have a finite list of monic irreducible polynomials in K[x], denoted as P1(x), P2(x), ..., Pn(x). We want to find a monic irreducible polynomial that is not divisible by any of these polynomials.Consider the polynomial Q(x) = P1(x)P2(x)...Pn(x) + 1. This polynomial is monic and has a degree greater than any of the polynomials in our list.

Now, let's assume that Q(x) is reducible. This would mean that Q(x) can be factored as Q(x) = R(x)S(x), where R(x) and S(x) are non-constant polynomials in K[x].Since Q(x) is monic and has a degree greater than any polynomial in our list, both R(x) and S(x) must have a degree less than Q(x).

However, this implies that R(x) and S(x) are not divisible by any of the polynomials in our list, contradicting the assumption that we had a finite list of monic irreducible polynomials.

Therefore, Q(x) must be irreducible, and we have found a monic irreducible polynomial that is not in our initial list.Since this argument can be repeated infinitely, we conclude that there are infinitely many monic irreducible polynomials in K[x], where K is a field.

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The closest percent markup cost to the bracelets Anna sells is 181%.

To determine the percent markup cost for the bracelets Anna sells, we need to calculate the difference between the selling price and the cost price, and then express it as a percentage of the cost price.

The selling price of the bracelets is $45, and the cost price is $16.

Markup = Selling Price - Cost Price

= $45 - $16

= $29

Now, to calculate the percent markup cost, we divide the markup by the cost price and multiply by 100:

Percent Markup Cost = (Markup / Cost Price) \(\times\) 100

= ($29 / $16) \(\times\) 100

= 181.25

Rounded to the nearest whole number, the percent markup cost is approximately 181%.

Therefore, the closest percent markup cost to the bracelets Anna sells is 181%.

This means that Anna is charging customers approximately 181% more than what it cost her to make the bracelets.

The markup cost represents the additional amount she adds to cover expenses, overhead, and to make a profit.

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Answer:

z=4.

Step-by-step explanation:

Hope this will help:)

Answer:

Step-by-step explanation:

Answer:

D.

Step-by-step explanation:

a1 = -8

a2 = -8 * 2.5

a3 = -8 * 2.5 * 2.5

a4 = -8 * 2.5^3

an = -8 * 2.5^(n - 1)

The first term is -8. Each subsequent term is 5/2 times the previous term.

Answer: D.

There are 853,818,600 ways to award first, second, and third prizes in a contest with 950 contestants, assuming there are no ties.

To determine the number of ways to award first, second, and third prizes in a contest with 950 contestants, we can use the permutation formula:

P(n, r) = n! / (n - r)!

where n is the total number of contestants and r is the number of prizes to be awarded (in this case, 3).

Using this formula, we get:

P(950, 3) = 950! / (950 - 3)!

= 950! / 947!

= 950 × 949 × 948

= 853,818,600

Therefore, there are 853,818,600 ways to award first, second, and third prizes in a contest with 950 contestants, assuming there are no ties.

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Answer:

#2 Alternate interior angles: 4 & 5 and 3 and 6

#4 :

m∠6 = 55°

m∠3 = 55°

m∠1 = 125°

Reasons: See below

Step-by-step explanation:

Angles 6 and 8 are supplementary angles since they are on the same straight line intersected by another straight line.

So m∠6 + m∠8 = 180
m∠6 + 125 = 180
m∠6 = 180-125= 55°

Angles 3 and 6 are alternate interior angles and equal to each other
m∠3 = m∠6 = 55°

Angles 1 and 3 are supplementary angles whose sum of measures should add up to 180°
m∠1 + m∠3 = 180
m∠1 + 55 = 180
m∠1 = 180-55 = 125°

The equivalent expression is 8

Note that algebraic expressions are described as expressions that are composed of variables, constants, terms, coefficients, and factors.

These algebraic expressions are also composed of mathematical operations. These operations are;

Also, equivalent expressions are expressions that have the same solution but may differ in their arrangement.

From the information given, we have that;

(-6y + 8) + 6y

expand the bracket, we have;

-6y + 8 + 6y

collect the like terms

-6y + 6y + 8

8

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The complete question:

Combine the like terms to create an equivalent expression: (-6y + 8) + 6y

Answer: Where is the figure??

Answer:

I think it this one but picture would help...

Angle DBC and angle BDA form a pair of vertical angles, not a pair of alternate interior angles, which are congruent.  

You would have $2,450 to buy to cover the cost of the membership.

An online buying club offers a membership for $245, for which you will receive a discount of 10 percent on all brand-name items you purchase.

We have to determine how much you would have to buy to cover the cost of the membership.

You have to buy to cover the cost of the membership = An online buying club offers a membership/Receive a discount

You have to buy to cover the cost of the membership = $245/10%

You have to buy to cover the cost of the membership = $245/0.10

You have to buy to cover the cost of the membership = $2,450

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a) The relevant population is the heavy soft-drink users in the given case, and the appropriate sampling design that should be used is  stratified random sampling. The list of all heavy soft-drink users is the sampling frame.

b) Cluster sampling refers to a sampling design where population is divided into naturally occurring groups and a random sample of clusters is chosen.

The advantages are efficient, easy to perform, and used when the population is widely dispersed. The disadvantages are sampling errors, have lower level of precision, and have the standard error of the estimate.

a) The relevant population for the public relations research department to investigate the initial reactions of heavy soft-drink users to a new all-natural soft drink is heavy soft-drink users. The appropriate sampling design that can be used to investigate the issues is stratified random sampling.

Stratified random sampling is a technique of sampling in which the entire population is divided into subgroups (or strata) based on a particular characteristic that the population shares. Then, simple random sampling is done from each stratum. Stratified random sampling is appropriate because it ensures that every member of the population has an equal chance of being selected.

Moreover, it ensures that every subgroup of the population is adequately represented, and reliable estimates can be made concerning the entire population. The list of all heavy soft-drink users can be the sampling frame.

b) Cluster sampling is a type of sampling design in which the population is divided into naturally occurring groups or clusters, and a random sample of clusters is chosen. The elements within each chosen cluster are then sampled.

The advantages of cluster sampling are:

The disadvantages of cluster sampling are:

A situation where cluster sampling would be appropriate is in investigating the effects of a new medication on various groups of people. In this case, the population can be divided into different clinics, and a random sample of clinics can be selected. Then, all patients who meet the inclusion criteria from the selected clinics can be recruited for the study. This way, the study will be less expensive, and it will ensure that the sample is representative of the entire population.

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Answer:

A

Step-by-step explanation:

Answer: A

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

Answer:

B is the correct answer.

hope it helps my friend.

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Answer:

%80

Step-by-step explanation:

To find  what percent of 105 makes 85 we do the following operation:

85*100/105 = 80 is the answer

Answer:

4/15

Step-by-step explanation:

3/5-1/3

9-5/15

=4/15

I ain't really sure

Answer:

It took her two hours

Step-by-step explanation:

100 miles  divided by 50mph =2 hours

hope it helps!

Hi

Time is distance divided by speed

so :   distance is  : 100   and speed is  50

so time  is  :  100/50 = 2

It took 2 hours for  Sarah .

The surface area of the composite figure shown in the figure attached is 233.6 cm²

An equation is an expression that shows the relationship between two or more numbers and variables.

The surface area of the composite = (6 * 8) + 2(8 * 3.6) + 2(0.5)(6 + 2 + 6 + 2)(3) + (8)(2 + 6 + 2) = 233.6 cm²

The surface area of the composite figure shown in the figure attached is 233.6 cm²

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Answer: 44%

Step-by-step explanation:

Let us assume there were 100 students.

Now, 26% means 26 students have chosen biology, and 18% means 18 students have chosen botany.

Now total number of students who have chosen biology or botany = 44

P(the student has chosen biology or botany as subject for project) = 44/100

Required area of the given triangle is 24 cm².

What is the area of a triangle?

The area of a triangle is obtain as the total area enclosed by any three sides of any triangle. Basically, it is equal to half the base times the height, i.e. A = 1/2 × b × h. So, to find the area of a three-sided polygon, we need to know its base (b) and height (h). It can be used for all types of triangles, whether isosceles scalene, or equilateral. It should be noted that the base and height of the triangle are perpendicular to each other. The area unit is measured in square units (m², cm²).

Here given, base of the triangle is 8 cm and height is 6 cm.

Now area of the triangle

\( \frac{1}{2} \times 8 \times 6 \\ = 4 \times 6 \\ = 24\)

Therefore, required area of the given triangle is 24 cm².

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Answer: 1/3

Step-by-step explanation:

The probability of selecting a chocolate cream pie can be found by dividing the number of chocolate cream pies by the total number of pies:

Probability of selecting a chocolate cream pie = Number of chocolate cream pies / Total number of pies

Probability of selecting a chocolate cream pie = 4 / 12

Simplifying this fraction by dividing the numerator and denominator by 4 gives:

Probability of selecting a chocolate cream pie = 1/3

Therefore, the probability of selecting a chocolate cream pie from Annie's Pie Shop is 1/3.

Answer:

The smallest number divisible by the natural numbers 1 to 12 is 1

0.5 is the probability that a student ordered a hamburger and a slurpee, in the school cafeteria where students are ordering food and beverage.

Marginal total of hamburger=7+19+12= 38

Total no. of students who ordered hamburger and slurpee= 19

Total 157 students out of which 38  ordered a hamburger.

We can see that 28 of the total students order pizza as well as soda.

The probability that a student also ordered a soda is given as =

Number of Students who ordered hamburger and slurpee/Total number of students who ordered a hamburger

=19/38

=0.5

The probability that a student ordered a hamburger and a slurpee is 0.5.

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Answer: 7/8 or 0.875

Step-by-step explanation:

28

32

​  

Reduce the fraction  

28/32

​  

 to lowest terms by extracting and canceling out 4.

7/8

the simplest form of given fraction 28/32 is 7/8.

Given that:

Fraction: 28/32

To write the fraction 28/32 in its simplest form, to find the greatest common divisor (GCD) of the numerator (28) and the denominator (32) and then divide both the numerator and denominator by that GCD.

Step 1: Find the GCD of 28 and 32.

The factors of 28 are 1, 2, 4, 7, 14, and 28.

The factors of 32 are 1, 2, 4, 8, 16, and 32.

The largest common factor between 28 and 32 is 4.

Step 2: Divide both the numerator and denominator by the GCD (4).

28 ÷ 4 = 7

32 ÷ 4 = 8

Hence, the simplified fraction is 7/8.

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