The point P
in simplest form?
=
✓lies on the unit circle shown below. What is the value of a
A
P (x, y)
(Note: the figure is not drawn to scale)
(1, 0)
X

The polynomial function whose graph passes through (7,11) (11,-12) and (0,4) will be y = -0.614x² + 5.295x + 4.

A function is an assertion, concept, or principle that establishes an association between two variables. Functions may be found throughout mathematics and are essential for the development of significant links.

Assume the polynomial function is quadratic. Then the equation is given as,

y = ax² + bx + c

At (0, 4), we have

4 = a(0)² + b(0) + c

c = 4

Then the equation is written as,

y = ax² + bx + 4

At (7, 11), we have

y = ax² + bx + 4

11 = 49a + 7b + 4             ...1

At (11, -12), we have

- 12 = 121a + 11b + 4        ...2

Equations 1 and 2 are solved by a calculator. Then we have

a = - 0.614 and b = 5.295

The polynomial capability whose diagram goes through (7,11) (11,- 12) and (0,4) will be y = - 0.614x² + 5.295x + 4.

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Answer:I think you mean 2 over 12 if so its 1/6

Step-by-step explanation:

you must simplify you divide  both of them by numbes they are divisblle by

Based on the inventory on hand, the lead time, and the standard deviation, the in-stock probability will be 96.56%

To find the in-stock probability, you first need to find the Z score as:

= On-hand inventory / Standard deviation x √(lead time + 1)

Solving gives:

= 5,050 / 800 x √(11 + 1)

= 5,050 / 2,771.28

= 1.82

With a Z score of 1.82, the probability according to the Z tables will be 96.56%

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Samy, this is the solution:

• Total Girls = 47

• Total Boys = 52

• Total Soccer = 43

• Total Baseball = 33

• Total Other = 23

• Total Students = 99

floor plan => It is the scale drawing that show the relationship between rooms, spaces, and physical features viewed from the above

THIS PIC WILL ALSO HELP U

The requried, percentage of students who study less than 2.50 hours a day is approximately 25.14 percent.

A Z-score is stated as the fractional model of data point to the mean using standard deviations.

We need to convert 2.50 hours to a standard score (z-score) using the formula,

z = (x - μ) / σ

where x is the value we want to convert, μ is the mean, and σ is the standard deviation.

z = (2.50 - 3.00) / 0.75

z = -0.67

This means that 2.50 hours is 0.67 standard deviations below the mean.

We can use a standard normal distribution table or a calculator to find the percentage of the distribution that falls below this standard score. For example, using a standard normal distribution table, we can look up the area to the left of z = -0.67 and get:

P(z < -0.67) = 0.2514

So the correct answer is (a) 25.14 percent.

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The following replacements for / missing code / is the most appropriate implementation of the class:

B.

private int numerator;                                                                                 private int denominator;                                                                                   public double fractionToDecimal()                                                                                  {                                                                                                                       return (double) numerator / denominator;                                                                      }

A class is a blueprint that defines the variables and methods that are shared by all objects of a particular type. In object-oriented software, it is also possible to have a large number of objects of the same type with similar properties: rectangles, employee records, video clips, and so on.

You can use the fact that objects of the same type are similar, as bicycle manufacturers do, to create a blueprint for those objects. A class is an object-oriented software blueprint (in the glossary). A class variable holds information that all instances of the class share.

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Answer:

160 units²

Step-by-step explanation:

Surface area of the square pyramid = a² + 2al

Where,

a = side length of the square = 8

l = slant height of the triangular face = 6

Plug in the values

Surface area of the square pyramid = 8² + 2*8*6

= 64 + 96

= 160 units²

Answer:Half of 51/8 is 51/16 (you multiply 51/8 by 1/2 and that is your answer.)

Now back to mixed number

51/16 = 3 3/16

So final answer is 3 3/16.

Step-by-step explanation:

To find half of 6 3/8.

6 3/8 is a mixed number.

First will change into fraction.

6 3/8 = ((8*6)+3)/8 = 51/8

(Convert the mixed number 6 3/8 into an improper fraction first by multiplying the denominator (8) by the whole number part (6) and add the numerator (3) to get the new numerator. Place the new numerator (51) over the old denominator (8).)

Answer:

166

Step-by-step explanation:

:)

Answer:

20%

Step-by-step explanation:

The theoretical probability of drawing a red marble can be found by dividing the number of red marbles by the total number of marbles in the bag:

P(red) = number of red marbles / total number of marbles

P(red) = 5 / (5 + 8 + 12)

P(red) = 5 / 25

P(red) = 0.2

So the theoretical probability of randomly drawing a red marble is 20%, which corresponds to option (C).

Answer:

Choice C

Step-by-step explanation:

We are given the function:

\(\displaystyle \large{f(x)=3x+5}\)

Let \(\displaystyle \large{y=f(x)}\) therefore:

\(\displaystyle \large{y=3x+5}\)

To find an inverse of function, swap the position of x and y:

\(\displaystyle \large{x=3y+5}\)

Then solve or simplify the equation in term of y:

\(\displaystyle \large{x-5=3y}\\\displaystyle \large{\frac{x-5}{3}=y}\\\displaystyle \large{y=\frac{1}{3}x-\frac{5}{3}}\)

Therefore, the answer is choice C.

__________________________________________________________

Summary

An inverse function is a function that swaps the position of domain and range, defined as notation \(\displaystyle \large{f^{-1}(x)}\) or \(\displaystyle \large{y^{-1}}\) generally. When finding an inverse function, make sure to swap position of range and domain, if given the interval.

Only one-to-one functions may have an inverse — multiple-to-one can not have an inverse such as quadratic function or any even-degree polynomial functions.

__________________________________________________________

Others

If you’re still curious or stuck in this question or have any doubts regarding my explanation, answer or this question — always let me know through comments!

Answer:

h = 9 m

Step-by-step explanation:

\(V_{cone}=340\: m^3\)

diameter (d) = 12 m

\(\implies radius\:(r)= \frac{12}{2}=6\:m\)

\( \because \: V_{cone}= \frac{1}{3} \pi {r}^{2} h \\ \\ \implies \: h = \frac{3V_{cone}}{\pi {r}^{2} } \\ \\ \implies \: h = \frac{3(340)}{3.14 {(6)}^{2} } \\ \\ \implies \: h = \frac{1020}{113.04} \\ \\ \implies \: h = 9.02335456 \\ \\ \implies \: h \approx 9 \: m\)

Answer:

16m

Step-by-step explanation:

Separate the rectangle from the triangle. The area of the rectange is 10m. We know this because l x w (2m x 5m).

Now for the triangle;

The area of a triangle is b x h / 2. We take the full height of the figure and subtract 5 from it giving us 3 which is our height for the triangle. We then see that 2m is on the bottom and we add that 2m to the two separate 1m giving us 4m in total.

Now that we have the base and height of the triangle we plug in giving us 6m. Finally we add both the areas; 10m + 6m = 16m.

Answer:

I did the math and I got 216.48 for the answer.

Step-by-step explanation:

If I got it wrong plz tell me so I could fix it, thx.

The  number of 50¢ coins is 200, number of  25¢ coins is 360

and number of  10¢ coins is 160.

The quantitative relation between two or more amounts showing the number of times one value is contains or contained within other.

Now the given ratio is 5 : 9 : 4.

and total amount of the coins is $206.

There are three types of coins in the bag, 50¢, 25¢ and 10¢.

Suppose x be the the ratio of coins in the bag.

Hence, number of  50¢ coins = 5x

number of  25¢ coins = 9x

number of  10¢ coins = 4x

Now, given total amount = $206

and since $1 = 100¢

⇒ ($0.5)(5x) + ($0.25)(9x) + ($0.1)(4x) ¢ = $206

Solving them,

⇒ 2.5x + 2.25x + 0.4x = 206

⇒ 5.15x = 206

⇒ x = 40

Therefore,

number of  50¢ coins = 5*40 = 200

number of  25¢ coins = 9*40 =  360

number of  10¢ coins = 4*40 =  160

Hence, number of 50¢ coins is 200, number of  25¢ coins is 360

and number of  10¢ coins is 160.

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photomath

Step-by-step explanation:

just use photomath

3.75 Quarts

Step-by-step explanation:

That is the exact answer I believe.

I checked many websites and they gave me the same answer

Answer:

\(\frac{1}{32} yards^{3}\)

Step-by-step explanation:

\(V=w*h*l\)

↓

\(V= \frac{1}{4} *\frac{1}{4} *\frac{1}{2}\)

=

\(\frac{1}{32} yards^{3}\\\)

Hope this helps!

Answer:

it's D

Step-by-step explanation:

You use distribute property, then add all like terms

Answer:

D

Step-by-step explanation:

Break it into 2 parts.

First Part

4s (5s^2 + 10s + 3)

20s^3 + 40s^2 + 12s

Second Part

2 (5s^2 + 10s + 3)

10 s^2 + 20s + 6

Now add the like terms

20s^3 + (40s^2 + 10s^2) + (12s + 20s) + 3

20s^3 + 50s^2 + 32s + 6

The people in their seventies according to the stem and leaf plot is b)6.

What is stem and leaf plot graph?

  A bar graph is a good analogy for a stem and leaf plot. Because every number in the data is divided into a stem and a leaf, the name stem and leaf was chosen. The number's entirety—all save the final digit—is contained in the stem. There will always be one digit in the number's leaf.

Here the given stem and leaf plot explain about the age of a people at a retirement seminar. Their ages are,

=> 55,56,56,59,60,62,63,63,63,64,67,68,71,71,75,76,76,77,82,82,83,92.

Here the ages above seventies are 71,71,75,76,76,77.

Hence there are 6 people were there were above seventies.

Therefore the correct option is b)6.

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Answer: -18

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

I know this is super late and you probably don't need this, but for anyone who needs it, here is the answer!
Answer:

D and C

Step-by-step explanation:

We are doing the elimination method. We are subtracting so we can eliminate the x variable
 x + y = 8
- (x - y = 2)
---------------------
0x + 2y = 6
(0x is there just to show that x is eliminated but the equation is now just 2y = 6)
now solve for y (divide 2 on both sides)
y = 3

Now we can use Y to find x. Use any equation (either x + y = 8 or x - y = 2) and then plug in the y value.

x - 3 = 2.

Add 3 on both sides and you get
x = 5

Now! From the question we see that x is canoe speed and y is water current speed. And since x is 5 and y is 3, the answer is D and C since the water current is 3 and canoe speed is 5. Hope this helps!!

Answer:

15$

Step-by-step explanation:

hope this helped

Answer:

35*0.25= 8.75 (multiply by the discount converted into a decimal)

35- 8.75= 26.25  (subtract that from the original to find the discount price)

or

35* 0.75= 26.25 (multiply by the percentage of the original price that you bought the jeans at)

Step-by-step explanation:

either way the answer is $26.25 is the discounted price

Answer: thumbs up

Step-by-step explanation:

Answer:should be 40 because WxL=area soooo try 40

Step-by-step explanation:

Answer:

Area = width x height

Area = 4cm x 10cm

Area = 40 cm²

The exact values of the sine and the cosine of the half angle are √(3 / 10) and √(7 / 10), respectively.

Herein we know the exact value of the cosine of an angle set in the first quadrant. Then, the half angle is also in the first quadrant, whose sine and cosine are, respectively:

cos 0.5Ф > 0, sin 0.5Ф > 0

sin 0.5Ф = √[(1 - cos 0.5Ф) / 2]

cos 0.5Ф = √[(1 + cos 0.5Ф) / 2]

First, replace the values of the cosine of the half angle:

sin 0.5Ф = √[(1 - 2 / 5) / 2]

cos 0.5Ф = √[(1 + 2 / 5) / 2]

Second, simplify the resulting expression:

sin 0.5Ф = √[(1 - 2 / 5) / 2]

sin 0.5Ф = √[(3 / 5) / 2]

sin 0.5Ф = √(3 / 10)

cos 0.5Ф = √[(1 + 2 / 5) / 2]

cos 0.5Ф = √[(7 / 5) / 2]

cos 0.5Ф = √(7 / 10)

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The true statement about f(x) and g(x) is (a) the graph of f(x) is less steep than the graph of g(x).

The equations are given as:

\(f(x) = -\frac 34x -1\)

\(g(x) = -4f(x)\)

Substitute \(f(x) = -\frac 34x -1\) in \(g(x) = -4f(x)\)

\(g(x) = -4(-\frac 34x -1)\)

Expand

\(g(x) = 3x + 4\)

So, the equations of f(x) and g(x) are:

\(f(x) = -\frac 34x -1\)

\(g(x) = 3x + 4\)

A linear equation y = mx + b has a slope of m and a y-intercept of b.

So, the slopes of g(x) and f(x) are 3 and -3/4.

So, the y-intercept of g(x) and f(x) are 4 and -1

This means that

Both graphs are not the same, and they have different x-intercepts.

Hence, the true statement is (a)

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The group of 20 students will save $144 by using the promotional deal. Half of the group, or 10 students, will get the free cotton candy, so that's $30 saved. 14 of the students will get the free soda, so that's another $28 saved. Added together the group of 20 students will save $58 on the cotton candy and $28 on the soda for a total savings of $144.

We can use the concept of Line Intercept form . She should count up 2 and right 1 . So the correct option is D.

When you know the slope of the line to be investigated and the given point is also the y intercept, you can utilize the slope intercept formula, y = mx + b. (0, b). The y value of the y intercept point is denoted by the symbol b in the formula. We set y = 0 and solve the equation for x to determine the x-intercept. This is due to the fact that the line crosses the x-axis at y=0. If an equation is not in the form y = mx + b, we can still solve for the intercepts by substituting 0 where necessary and then solving for the final variable. Set x = 0 and then solve for y to find the y-intercept.

  y=mx+b is the slope intercept formula

The given equation is y=2x-7.

By comparing to slope intercept formula y=mx+b,

   m=2 and b=-7.  

   So the slope of the given equation is 2 and y-intercept is (0,-7).

we know that,

             m=rise/run

             so rise=2 and run=1 that means Sam needs to count up 2 and right 1 to graph the equation using the given slope.

We can use the concept of Line Intercept form . She should count up 2 and right 1 . So the correct option is D.

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Answer:

v=2144.66

Step-by-step explanation:

V=4/3πr^3
sub in r which is 8

V=4/3 * π * 8^3
V=4/3 * π * 512