3. The quadratic function f(x) = - x ^ 2 + 8x - 2 has a turning point whose -coordinate is 4. Which of the following represents the range of this function?

Answer:

minimum 56

Median (Q2) 65

Lower Quartile (Q1) 60

Upper Quattile (Q3) 67

Maximum 75

Step-by-step explanation:

If you notice, there are 5 distinguished points of data, and I used all the points for each thing you asked for. You just have to recognize the minimum and maximum are the largest and smallest of all the data, and there is clearly nothing outside of the range of 56-75. then Q1, Q2, and Q3 are on the box itself. The median, just like with numbers, will always be the middle line. It is not directly in the center because there are more people in the 65-75 value range than the 56-65 value range.

hope this helps!

Answer:

minimum 56

Median (Q2) 65

Lower Quartile (Q1) 60

Upper Quattile (Q3) 67

Maximum 75

Step-by-step explanation:

i go to k12

Answer:

b yes the full field of veiw sta point a is

Answer:

2-20 3-28

Step-by-step explanation:

0-4

1-12

2-20

3-28

When age is 2 then the new squares appeared = 20

When age is 3 then the new squares appeared = 28

"It is a repeated arrangement of numbers, shapes, colors and so on. "

For given question,

Charlotte the turtle was born with 4 squares on her shell, as in the first picture below.

When she was 1 year old, 12 new squares appeared around the old squares, as in the second picture below.

Each year, a new group of squares appeared around the old squares.

We find the same pattern to find the new squares appeared when she is 2 and 3 years old.

When she is 2 years old then the new squares appeared around the old squares, as shown below.

There are 20 new squares appeared around the old squares.

When she is 3 years old then the new squares appeared around the old squares, as shown below.

There are 28 new squares appeared around the old squares.

Therefore, when age is 2 then the new squares appeared = 20

when age is 3 then the new squares appeared = 28

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En este estudio, la depresión, la ansiedad y el estrés generales fueron significativamente altos. Hay varios factores asociados con la depresión, la ansiedad y el estrés. Diseñar e implementar str a medida

Espero que esto te ayude ❤️

Answer:

14 × 10^(-19) m

Step-by-step explanation:

We are told that the diameter of the red blood cell is 7 × 10^(-6) m

And that number of red blood cells in the person is; 2 × 10^(-13) red blood cells

Since they are held end to end, the length of the line would be;

7 × 10^(-6) × 2 × 10^(-13) = 14 × 10^(-19) m

Answer:1733.28

square inches I think

Answer:

1733.28 in^2.

Step-by-step explanation:

The radius r = 1/2 the diameter = 1/2 *12 = 6 inches.

SA = 2*3.14*6^2 + 2*3.14*6*40

= 1733.28 in^2.

Answer:

Part A - [tex]l_{1} + l_{2} = 5\cdot x^{2} + 7\cdot x -4[/tex], Part B - Polynomial of second degree and formed by 3 monomials, Part C - [tex]l_{3} = 5\cdot x^{3} -x^{2}-8\cdot x +1[/tex]

Step-by-step explanation:

Part A - The total length of the sides 1 and 2 is equal to the addition between respective polynomials:

[tex]l_{1} + l_{2} = (3\cdot x^{2} - 2\cdot x - 1) + (9\cdot x + 2\cdot x^{2} - 3)[/tex]

[tex]l_{1} + l_{2} = (3\cdot x^{2} + 2\cdot x^{2}) + (9\cdot x - 2\cdot x) +[(-1) + (-3)][/tex]

[tex]l_{1} + l_{2} = 5\cdot x^{2} + 7\cdot x -4[/tex]

Part B - The degree is the highest exponent of the polynomial and the classification is related to the number of monomial that make part of the algebraic expression. In this case, we conclude that resulting expression is a polynomial of second degree and formed by 3 monomials.

Part C - The length of the third side of the triangle by subtracting the expression found in part A from the polynomial of the perimeter of the triangle:

[tex]l_{3} = p - l_{1} - l_{2}[/tex]

[tex]l_{3} = (5\cdot x^{3}+4\cdot x^{2}-x-3) -(5\cdot x^{2}+7\cdot x -4)[/tex]

[tex]l_{3} = 5\cdot x^{3} + [4+(-5)]\cdot x^{2}+[(-1)+(-7)]\cdot x +[(-3)+ 4][/tex]

[tex]l_{3} = 5\cdot x^{3} -x^{2}-8\cdot x +1[/tex]

Answer:

Part A; Total length of side 1 and 2  = 5·x² + 7·x - 4

Part B; The degree of the polynomial is 2

The classification of the polynomial is a trinomial quadratic equation

Part C; 5·x³ - 4·x² - 6·x + 2

Step-by-step explanation:

The length of the sides of the rectangle are;

Side 1: 3·x² - 2·x - 1

Side 2: 9·x + 2·x² - 3

The perimeter of the rectangle is 5·x³ + 4·x² - x - 3

Part A

The given expression for the sides of the rectangle are;

Side 1: 3·x² - 2·x - 1

Side 2: 9·x + 2·x² - 3

The total length of side 1 and side 2 is given by add ing the given expressions as follows;

Total length of side 1 and 2  = 3·x² - 2·x - 1 + 9·x + 2·x² - 3 = 5·x² + 7·x - 4

Part B

The degree of the polynomial is 2 and the classification of the polynomial is a trinomial quadratic equation

Part C

Given that a rectangle rectangle consists of two pairs of equal opposite sides, we have;

The length of the third side = The perimeter - (2 × The length of side 1 + The length of side 2)

The length of the third side = 5·x³ + 4·x² - x - 3 - (2 × (3·x² - 2·x - 1) + 9·x + 2·x² - 3)

The length of the third side = 5·x³ + 4·x² - x - 3 - (8·x² + 5·x - 5)

The length of the third side = 5·x³ - 4·x² - 6·x + 2

Answer:

42.5 Cubic Yards

Step-by-step explanation:

To find volume of a rectangle you do length*width*height to get the volume, so 17*15*0.5(because 6 inches is half of a foot) you get 127.5, but they're asking for it in yards not feet so you need to divide 127.5 by 3 and that will give you 42.5.

The volume of the concrete that would be needed in order to make the rectangular foundation for the patio is 1.574 yards³.

The volume of the cuboid is the space occupied by the 3D object cuboid. It is the product of the length, width, and depth of the cuboid.

As it is given that we need to make a rectangular foundation, therefore, the shape of the foundation will be a cuboid with sides 5 feet wide, 17 feet long, and depth of 6 inches.

Now, as we know large amounts of concrete can be purchased by the cubic yard only, therefore, we will convert each of the sides of the rectangular foundation into yards.

[tex]\rm Wide, w = 5\ feet = 5 \times \dfrac{1}{3} = \dfrac{5}{3}\ yards\\\\Length, L = 17 feet = 17 \times \dfrac{1}{3} = \dfrac{17}{3}\ yards\\\\Depth, D = 6\ inches = 0.5\ feet = 0.5 \times \dfrac{1}{3} = \dfrac{0.5}{3}\ yards\\\\[/tex]

Now, we know that the volume of the cuboid is given as the product of its length, width, and depth. therefore,

[tex]\text{Volume of Cuboid} = Length\times Width\times Depth[/tex]

                             [tex]= \dfrac{5}{3} \times \dfrac{17}{3} \times \dfrac{0.5}{3}\\\\= \dfrac{42.5}{27}\\\\=1.574\rm\ yards^3[/tex]

Hence, the volume of the concrete that would be needed in order to make the rectangular foundation for the patio is 1.574 yards³.

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Answer:

y = 4.5x + 8.5

Step-by-step explanation:

this is true

Answer: Hope This Helps!

Step-by-step explanation:

1: Streak: Streak is a word referring to the color of the streak that a rock makes when it is scraped against the unglazed side of a white ceramic tile (or, the unglazed bottom of a white coffee cup or toilet tank cover).

2: Luster: The luster of a mineral is best observed on a surface that is free of moisture, dirt, tarnish, and abrasion. Geologists in the field usually carry a rock hammer to break rocks so that their true luster and color can be observed.

3: They could both be the same mineral: The minerals pyrite and gold are always metallic yellow in color and streak (although they differ in other characteristics such as hardness).

4: The rocks contain fossils: Sedimentary rocks are most likely to contain fossils. Fossils are formed when the bodies or remnants of living organisms (plants and animals) are covered and are thus protected from predators or microbial decay. And thats exactly what a sedimentary rock is.

Answer:

25x^2 + 30x + 9

Answer:

-9

Step-by-step explanation:

Given :-

And we need to find out the common difference of the Arithmetic sequence . The common difference of a Arithmetic sequence is the number which is added to a term to obtain the next term of the sequence . And it can be obtained by subtracting the consecutive terms.

Sequence :-

[tex]:\implies[/tex] -5 , -14 , -23

Common difference :-

[tex]:\implies[/tex] CD = -14 -(-5) = -14+5=-9

[tex]:\implies[/tex] CD = -23-(-14) = -23+14=-9

Hence the common difference is (-9) .

Answer:

16

Step-by-step explanation:

if x=23, 23-7=16

Answer:

$45,000

Step-by-step explanation:

Income = percentage of income she receives x income

50% x 90,000

0.5 x 90,000 = 45,000

Answer:

what that person said

Step-by-step explanation:

Answer:

[tex]Y-\frac{\pi}{2} =\frac{\pi}{2} (x+\sqrt{\frac{1}{7}})[/tex]

Step-by-step explanation:

The equation of the curve is

[tex]Y = sin^{-1}(7x)[/tex]

To find the equation of tangent we need to differentiate this equation w.r.t x

So, differentiating we get

[tex]Y'=\frac{7}{\sqrt{1-49x^2} }[/tex]

This would give the slope of the tangent line at any given point of which x coordinate is known. In the present case it is  [tex]x = \sqrt{\frac{1}{7} }[/tex]

Then slope would accordingly be

[tex]Y'=\frac{7}{\sqrt{1-49/49} }[/tex]

= ∞

For, [tex]x = \sqrt{\frac{1}{7} }[/tex], [tex]Y = sin^{-1}(7/7)= \pi/2[/tex]

Equation of tangent line, in the point slope form, would be [tex]Y-\frac{\pi}{2} =\frac{\pi}{2} (x+\sqrt{\frac{1}{7}})[/tex]

Answer:

The owner has

Step-by-step explanation:

36 x 36 = 1296,  he has 36 boxes so he put 36 in each box, so there would be 1, 18 CDs, and there would be no boxes left.

The probability that Dan buys a sandwich and gets the bus will be 0.16.

Its basic premise is that something will almost certainly happen. The percentage of favorable events to the total number of occurrences.

The probability that Dan buys a sandwich is 0.2.

The probability that Dan gets the bus is 0.8.

Assuming the events are independent.

Then the probability that Dan buys a sandwich and gets the bus will be

P = 0.2 × 0.8

P = 0.16

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Answer:

31 1/6 feet

Step-by-step explanation:

add 25 2/3 to 5 1/2 to see how far under the surface he is; use common denominator of 6

25 4/6 + 5 3/6 = 30 7/6

30 7/6 is the same as 30 + 1 1/6 so diver must ascend 31 1/6 feet

We will see that the percentage of the 60 children who choose orange is 25%.

In this case, the 60 children are the 100%.

We want to find which percentage 15 (number of kids that like orange) represents.

Then we can write:

15 = x

60 = 100%

x = (15/60)*100% = 25%

So we conclude that 25% of the children choose orange.

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Answer:

95

Step-by-step explanation:

MRK AS BRAINLIEST!!

Answer:

95

Step-by-step explanation:

Answer:

The derivative of a function may be used to determine whether the function is increasing or decreasing on any intervals in its domain. If f′(x) > 0 at each point in an interval I, then the function is said to be increasing on I. f′(x) < 0 at each point in an interval I, then the function is said to be decreasing on I.

Step-by-step explanation:

Answer:

These I do know how to do!

probability of landing on blue: 2/8

probability of landing on a number greater then 7: 5/12 probability of getting both a number greater then 7 and blue: 5/48 Hope this helps!

Answer:

Step-by-step explanation:

Select the correct answer from each drop-down menu.

We solve using z score formula

z-score is z = (x-μ)/σ, where x is the raw score, μ is the population mean, and σ is the population standard deviation.

The average time taken to complete a test follows normal probability distribution with a mean of 70 minutes and a standard deviation of 25 minutes.

a) The probability of a randomly selected student completing the test in 45 minutes or less is approximately equal to %.

z = 45 - 70/25

b) The probability of a randomly selected student completing the test in 95 minutes is %.

z = 95 - 70/25

Answer:b

Step-by-step explanation:

The requried function represented in the graph is given as y = [-x + 2,  x<1] and y = {x + 1, x ≥ 1} Option A is correct.

The graph is a demonstration of curves that gives the relationship between the x and y-axis.

Functions are the relationship between sets of values. e g y=f(x), for every value of x there is its exists in a set of y. x is the independent variable while Y is the dependent variable.

The equation of the function shown in the graph is given as,
y = [-x + 2,  x<1]

y = {x + 1, x ≥ 1}

Thus, the requried function represented in the graph is given as y = [-x + 2,  x<1] and y = {x + 1, x ≥ 1} Option A is correct.

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Answer:

6.16 hours

Step-by-step explanation:

Let the number of hours that washed the car together = T

Number of hours Matthew washed = m = 14 hours

Number of hours Arianna washed = a = 11 hours

The formula to calculate how many they wash the cars together is given as

1/a + 1/m = 1/T

1/14 + 1/11 = 1/T

Lowest Common Denominator = 154

Hence:

(11 + 14)/154 = 1/T

25/154 = 1/T

Cross Multiply

154 × 1 = 25 × T

T = 154/25

T = 6.16 hours

Therefore, it will take Matthew and Arianna 6.16 hours to wash the cars together

Answer:

below

Step-by-step explanation:

A)1 can be interpreted as the job, the project, the whole thing or all of the cars

B)rate* time = amount of work (a bit like rate*time = distance for figuring how far you go at a certain speed)

C)multiply both sides by 14 hours/1 job and simplify to get t=14hours

D) ok, now we do the 2nd fraction 1/11 we want its bottom to be 154, like: 1/14 - 11/11

E)t=154/25=t= 6.16 hours

Answer:

8/27

Step-by-step explanation: