Which of the following represents, "The difference between a number and elght Is twenty-two"?
A. N-8=22
B. 8 - N= 22
C. 8 - 22 N

Answer: b

f(x)=5x^2-17x+495

f(11)=913

Step-by-step explanation:

I did some research and found an exam review sheet that had this same problem (worked out). This was all that was written.

The quadratic function that models the data will be;

y = 5x² - 17x + 495

What is an expression?

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

The model to estimate the number of fish at the lake on week 11 are;

Week = 0, 1, 2, 3, 4, 5, 6

Population = 495, 483, 481, 489, 507, 535, 573

Now,

Let the quadratic equation is;

y = ax² + bx + c

Substitute x = 0 and y = 495, we get;

495 = a × 0 + b × 0 + c

c = 495

Substitute x = 1 and y = 483, we get;

483 = a × 1 + b × 1 + c

483 = a + b + 495

a + b = 483 - 495

a + b = - 12   ... (i)

Substitute x = 2 and y = 481, we get;

481 = a × 4 + b × 2 + c

481 =  4a + 2b + 495

4a + 2b = 481 - 495

4a + 2b = - 14

2a + b = - 7   ... (ii)

Solve equation (i) and (ii), we get;

a = 5 and b = - 17

So, We get;

The quadratic equation is;

y = ax² + bx + c

y = 5x² - 17x + 495

Therefore, The quadratic function that models the data will be;

y = 5x² - 17x + 495

Learn more about the quadratic equation visit:

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Answer:

x=3

Step-by-step explanation:

Answer:

B is correct

Step-by-step explanation:

Answer:

x = 5

Step-by-step explanation:

a² + b² = c²

x² + 12² = 13²

x² + 144 = 169

x² = 169 - 144

x² = 25

[tex]\sqrt{x^2} =\sqrt{25}[/tex]

x = 5

Answer:

V=7982.4 in

Step-by-step explanation:

V=4/3pi*r^3

V=4/3pi*12.4^3

V=4/3pi*1906.62

V=7626.48/3pi

V=2542.16pi

V=2542.16*3.14

V=7982.4

Answer:The second option is correct.(4).(8) 3.6 would be rounded to 4, and 7.8 would br8

Step-by-step explanation:

Answer:

b

Step-by-step explanation:

Answer:

i would say A

Step-by-step explanation:

cause it looks like its only slitly rotated

Answer:

4,615.25

Step-by-step explanation:

I just did a et and it is correct.

Answer:

30

Step-by-step explanation:

120÷4=30 (4 because a square has 4 sides)

and you can check it by doing 4×30=120

hope this helped

Answer=D, Y=55x + 4. This is the answer.......

Btw: this is my first answer I done ;)

Answer:

yes

to determine if the statement is true, divide the ratio of goats by the ratio of pigs

13/4 = 3 1/4

there are 3 1/4 more goats as their are pigs

Step-by-step explanation:

Answer:

i dont know what set a or b is...I would love to help you though...see below.

Step-by-step explanation:

Mean is best used for a data set with numbers that are close together.

The median is the midpoint value of a data set, where the values are arranged in ascending or descending order.

In addition, the standard deviation, like the mean, is normally only appropriate when the continuous data is not significantly skewed or has outliers.

You should use the mode if the data is qualitative (colour etc.) or if quantitative (numbers) with a clearly defined mode (or bi-modal). It is not much use if the distribution is fairly even.

This can be useful if you are measuring a variable that has either a critical low or high threshold (or both) that should not be crossed. The range will instantly inform you whether at least one value broke these critical thresholds. In addition, the range can be used to detect any errors when entering data.

Quantile classification is ideal for ordinal data. When you have a clear ordering of the variables, then this is one of the advantages of quantity classification. If you want to rank data into categories such as high, medium, and low, this is another opportunity to use quantile classification

Answer: 12 hours

Step-by-step explanation:

Let's set the speed as "s".

Remember that distance = speed * time

So, plugging the numbers given...

7 = s * 8.4

Divide both sides by 8.4

s = 5/6

Now, plug this into the distance = speed * time, with the distance being 10. Set the time as "t"

10 = 5/6 * t

Divide both sides by 5/6

12 = t

So, it would take 12 hours for the snail to crawl 10 miles.

Answer:

105, I think if not please tell me it isn't!

Answer:

300

Step-by-step explanation:

surface area of prism = p (perimeter)*height + 2* base area

sa = (12+13+5) * 8 + 2* (12*5/2)

    = 30*8 + 2*30

    = 240+60

    = 300

Answer:

y=7x

Step-by-step explanation:

Answer:

The answer is 4

Step-by-step explanation:

The angles in a triangle add up to 180 degrees.

You have two angles given 90(right angle) and 57.

Add them to get 147 then subtract from 180.

180 - 147 = 33

Set 33 equal to the expression

33 = 4x + 17

33- 17 = 4x

16 = 4x

4 = x

Answer:

(27.3692 ; 44.6308)

Step-by-step explanation:

Mean, xbar = 36

Standard deviation, s = 11

Sample size, n = 12

Tcritical at 0.2, df = 12 - 1 = 11 ; Tcritical = 2.718

Confidence interval :

Xbar ± Margin of error

Margin of Error = Tcritical * s/sqrt(n)

Margin of Error = 2.718 * 11/sqrt(12) = 8.6308

Confidence interval :

Lower boundary : 36 - 8.6308 = 27.3692

Upper boundary : 36 + 8.6308 = 44.6308

(27.3692 ; 44.6308)

Answer:

47.05

Step-by-step explanation:

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Answer:

V = 286319.465 cm3

Step-by-step explanation:

First, you have to find the radius to be able to find the volume of a sphere.

The equation for the area of a circle is pi r^2 so you have to so some algebra.

5252 = pi r ^2

5252/pi = r^2

1671.76352 = r^2

sqrt(1671.76352) = r

r = 40.8872048

then you do the equation for the volume of a circle which is 4/3 pi r^3

4/3 pi (40.8872048)^3

4/3 pi 68353.7373

4/3 214739.599

286319.465

V = 286319.465 cm3

Answer:

Option B, 2 parallel lines

Step-by-step explanation:

Complete question

The locus of points in a plane 3 units from the line y = 1

A ray

B. 2 parallel lines

C. circle

D. plane

Solution

A group of points whose location is determined by more than one or at least one specified condition is called a locus. Locus of a line could be a set of points that form a line or a surface satisfying the condition of line in the plane.  

Hence, option B is correct

Answer:

$30

Step-by-step explanation:

So we know that the toy cost 24 dollars. We also know that the cost is increased by 25%.

What is 25% of 100%? Thats 1/4. So, what is 1/4 of 24? That will be 6.

Since we are increasing the cost by 25%, we are increasing 24 dollars by 6. 24 plus 6 equals 30.

So the answer:

$30

Ti⊂k∫∈s ω∅∅p

Answer:

you are right, it's a)❤

Step-by-step explanation:

a4=12---> put the formula in it

2×4+4=12

a5=14---> 2×5+4=14

a6=16---> 2×6+4=16

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.

.

hope it helps❤

Answer:

A.y=(t-1998)+b

B. 13,720 Vehicles

Step-by-step explanation:

N/A