A certain share of stock is purchased for $40. The function v(t) models the value, v, of the share, where t is the number of years since the share was purchased. Which function models the situation if the value of the share decreases by 15% each year?

The order of values in ascending order will be -4<-2<2<2.64<4<16 as the definition of ascending order says, "When numbers are arranged in ascending order, they are done so from smallest to largest".

When numbers are arranged in ascending order, they are done so from smallest to largest. Climbing down the stairs of numbers starting with their highest value is another way to think of descending. The slide is descended while moving down it. Ascending order, in which the numbers are arranged from lower value to higher value, is the opposite of descending order. A number can be arranged in ascending order by going from smallest to largest from left to right.

Here,

4²=16

-√4=-2

√4²=4

-2√4=-4

6-4=2

√7=2.64

-4<-2<2<2.64<4<16

According to the definition of ascending order, "When numbers are arranged in ascending order, they are done so from smallest to largest," the order of values in ascending order will be -4<-2<2<2.64<4<16.

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M=11

N=2

11•11=121

2•2=4

121-4=117

Answer:

(8x+15)=(7x+17){ being alternative angle}

8x+15=7x+17

8x-7x=17-15

x=2

here,

8x+15= 8×2+15

16+15=31

7x+17

7×2+17

14+17

31

again

(8x+15)+y=180°( being straight angle)

31+y=180

y=180-31

y= 149

\(▪▪▪▪▪▪▪▪▪▪▪▪▪  {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪\)

In the given figure, Angles (8x + 15) and (7x + 17) are equal

because they form pair of Alternate interior angles.

So,

now, as we can see Angle y and (8x + 15) are forming linear pair; so their sum measures 180°

The orthogonal projection of p(x) onto the line L spanned by q(x) is (4/7)(2x^2 - 2x + 1).

The orthogonal projection of p(x) onto L can be found using the formula:

projL(p) = <p, u> / <u, u> * u

where u is the unit vector in the direction of q(x). To find u, we need to normalize q(x) by dividing it by its magnitude:

||q|| = sqrt(<q, q>) = sqrt(6)

u = q / ||q|| = (2x^2 - 2x + 1) / sqrt(6)

Now we can plug in the values of p(x) and q(x) to evaluate the inner products:

<p, u> = 3(-1)(1/√6) + 3(0)(0) + 3(2)(1/√6) = 2√6

<u, u> = (1/√6)(4) + (-2/√6)(-2) + (1/√6)(1) = 7/√6

Finally, we can substitute these values into the projection formula to find projL(p):

projL(p) = (2√6 / (7/√6)) * (2x^2 - 2x + 1) / √6

Simplifying this expression gives:

projL(p) = (4/7)(2x^2 - 2x + 1)

So the orthogonal projection of p(x) onto the line L spanned by q(x) is (4/7)(2x^2 - 2x + 1).

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Answer:

if its according to the graph but not according to the function then

domain = {x:-4<x<8}

range = {y:y<16}

What is the coefficient of the squared term in the parabola's equation?​

Answer:

C.) 3

Answer:

I took the test awhile ago and if i remember correctly its B.

Step-by-step explanation:

The coordinates of quadrilateral A'B'C'D' after rotation 90° clockwise about the origin are,

⇒ A' = (5, 5)

⇒ B' = (1, 5)

⇒ C' = (1, 2)

⇒ D' = (5, 1)

A pair of numbers which describe the exact position of a point on a cartesian plane by using the horizontal and vertical lines is called the coordinates.

We have to given that;

The coordinates of quadrilateral ABCD are,

⇒ A = (- 5, 5)

⇒ B = (- 1, 5)

⇒ C = (- 1, 2)

⇒ D = (- 5, 1)

Now, We know that;

The rule of the rotation 90° clockwise about the origin are,

⇒ (x, y) → (- x, y)

Hence, The coordinates of quadrilateral A'B'C'D' after rotation 90° clockwise about the origin are,

⇒ A' = (5, 5)

⇒ B' = (1, 5)

⇒ C' = (1, 2)

⇒ D' = (5, 1)

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The nurse should administer 6 tablets per dose.

To calculate this, divide the total daily dose (300 mg) by the dose per tablet (50 mg):

300 mg / 50 mg = 6 tablets

Since the dose is divided equally every 6 hours, the nurse should administer 6 tablets every 6 hours.

It's important for the nurse to double check the medication order and dosing calculations before administering any medication to ensure the safety and well-being of the client. In addition, the nurse should monitor the client's response to the medication and report any adverse effects to the healthcare provider.

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Answer: True.

Step-by-step explanation:

C

The mistake the arrangers made is in the second inequality. They considered the number of caps to be bought should be at least 5 times greater than the number of blouses, not the other way around. The correct inequality should be C

The correct answer is D) The first inequality should be s + h ≤ 1800.

The organizers made an error in the first inequality. The given inequality 10s + 8h ≤ 1800 represents the total cost of buying shirts (10s) and hats (8h) should be less than or equal to $1800. However, this does not take into account the fact that the organizers want to buy at least 5 times as many shirts as hats, as indicated by the second inequality h ≥ 5s.

The correct way to represent this constraint is by using the equation s + h ≤ 1800, which ensures that the total number of shirts and hats purchased does not exceed $1800 in cost. This is because the organizers want to make sure that the total cost of shirts and hats combined does not exceed the budget of $1800.

Answer:

500

Step-by-step explanation:

Answer: [1,3]

Step-by-step explanation:

Omer inequality form: 1<x<3

The volume of the region bounded above by  x² + y² + z² = 12 and bounded below by z=√x² + y² is

Given :

x² + y² + z² = 12 ⇒ z = √(12- (x² + y²))

z=√x² + y²

It is known that :

r = √(x² + y²)

So the z values range from r ≤ z ≤ √(12-r²)

Also 0 ≤ θ ≤ 2π

Setting,

12- (x² + y²) = √x² + y²

r = 12 - r²

r² + r - 12 = 0

(r - 3)(r + 4) = 0

Or r = 3

So the value of r range from 0 to 3.

In the cylindrical coordinates :

Volume = \(\int\limits^{2pi}_0 \int\limits^3_0 \int\limits^{12-r^2}_r {dzrdr} \, dtheta\)

Simplifying,

Volume = 99π

Hence the required volume is 99π.

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Answer:

24500 cm^2

Step-by-step explanation:

Therefore , the solution of the given problem of equation comes out to be False.

In order to demonstrate consistency between two opposing statements, variable words are frequently used in sophisticated algorithms. Equations are academic phrases that are used to demonstrate the equality of different academic figures. Consider expression the details as y + 7 offers. In this case, elevating produces b + 7 when partnered with building y + 7.

Here,

False.

The order of operations we use to solve two-step equations is the same order we use to solve every other mathematical statement,

which is commonly recalled by the acronym PEMDAS. (parentheses, exponents, multiplication and division from left to right, and addition and subtraction from left to right).

The fundamental distinction is that we are carrying out the operations against the equation's representation. For instance, consider the following equation:

=> 2x + 5 = 11

To get the following result, we would first subtract 5 from both sides, then divide by 2.

=> x = 3

In order to "undo" the operations that were carried out on the variable in the original equation, we are utilising the same series of operations as usual, but in reverse order.

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Answer:

Step-by-step explanation:

The sum of a triangle’s angles is always 180 degrees.

x+x+2+38=180

2x+40=180

2x=140

x=70

C=x+2

C=70+2

C=72 degrees

The value of the legs of the triangle would be hypotenuse/√2.

You can use basic trigonometry to solve this problem. We know that the sine of the angle made by the hypotenuse and the base is equal to the ratio of perpendicular height and the hypotenuse, given that the angle is 45° the perpendicular will be equal to ⇒ hypotenuse × sin(45°).

That is perpendicular=hypotenuse/√2

Similarly, the cosine of the angle made by the hypotenuse and the base is equal to the ratio of base length and the hypotenuse, given that the angle is 45° the base will be equal to ⇒ hypotenuse × cos(45°)

That is base=hypotenuse/√2

Therefore, the value of the legs of the 45°-45°-90° triangle would be hypotenuse/√2.

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Answer:  –145 is the 25th term in this series where each term is 7 less than the preceding term.

Step-by-step explanation:  Find the difference between the numbers given.

They are decreasing by 7.

The requested term is 25. Subtract -1 . = 24  (n-1)

Multiply 24 × -7 = -168

Add that to to first term

23 + (-168) = the 25th term

–145 is the 25th term in this series where each term is 7 less than the preceding term.

The total value of the furniture that was sold by Dennis is 3,500 dollars.

The amount of something is expressed as if it is a part of the total which is a hundred. The ratio can be expressed as a fraction of 100. The word percent means per 100. It is represented by the symbol ‘%’.

Dennis made an extra $245.00 for selling furniture.

Let the cost of the furniture be x.

Let the total value of the furniture be x + 245.

The extra $245.00 was 7% of the total value of the furniture he sold.

0.07(x + 245) = 245

         x+ 245 = 3500

                   x = 3255

Then the total value of the furniture is (3,255 + 245 =) $3,500.

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9514 1404 393

Answer:

  your choice is the best

Step-by-step explanation:

If you simply look at the segments marked with expressions in z, you have* ...

  z+23 > 0   ⇒   z > -23

  3z +9 > 0   ⇒   z > -9/3 = -3

That is, the side lengths must be positive. We must also have the side labeled z+23 be longer than the side labeled 3z+9:

  z +23 > 3z +9

  14 > 2z . . . . . . . subtract z+9

  7 > z

So, the limits on the marked side lengths require ...

  -3 < z < 7 . . . . matches the 4th choice

__

If you actually work out the possible sizes of these triangles such that the angles are the given measures, you find that the minimum length of the legs with the hash mark is about 15.8649, and the minimum value of z is ...

  z > (12√6 -7)/5 ≈ 4.47878

This value is obtained when the triangles are isosceles. Apparently, you're not supposed to think that deeply about this question.

_____

* The "or equal to" case is not included, because that would allow the triangles to have zero area. That is, the triangles would be a single point.

The number of dimes and quarters are 15 and 22 respectively.

An equation is an expression that shows the relationship between two or more numbers and variables. A system of equations is two or more equations that can be solved to get a unique solution. the power of the equation must be in one degree.

Given that Deangelo has $7 worth of dimes and quarters in a jar.

Let  d is the number of dimes and q number of quarters in a jar.

0.10d + 0.25q = 7 -------(1)

Then He has 7 more quarters than dimes.

q = d + 7 -------(2)

Now We will replace the value of y from equation 2 in the equation 1

0.10d + 0.25(d + 7) = 7

0.10d + 0.25d + 1.75 = 7

0.35d = 7 - 1.75

0.35d = 5.25

d = 15  dimes

Now we put this value in the equation number 2;

q = 15 + 7 = 22

Therefore, the number of dimes and quarters are 15 and 22 respectively.

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Answer:

C

Step-by-step explanation:

The zeros are the values of x on the x- axis where the graph crosses.

the graph crosses the x- axis at 0 and 5

then the zeros are x = 0 and x = 5 → C

Answer:

Value of 53 is 53

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

A parent function is the simplest function that still satisfies the definition of a certain type of function. One of those functions is exponential, which is b.

   Option (B) will be the correct option.

We will check each option given for the definition of a parent function.

Option (A)

\(f(x)=-2^{x+1}\)

Parent function will be,

\(f(x)=2^x\)

Option (B),

\(f(x)=4^x\)

It's a simplest form of an exponential function.

Therefore, it's a parent function.

Option (C),

\(f(x)=e^{3x}-2\)

Parent function → \(f(x)=e^{3x}\)

Option (D),

\(f(x)=4x^2\)

Parent function → \(f(x)=x^2\)

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Answer:

-1/5

Step-by-step explanation:

We can use the formula [ y2-y1/x2-x1 ] to solve.

3-1/-5-5

2/-10

-2/10

-1/5

Best of Luck!

Answer:

\(3^{4}\)

Step-by-step explanation:

\(3^{4}\)

The equivalent expression will be;

⇒ 3⁴

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 expression is,

⇒ 3 × 3 × 3 × 3

Now,

Since, The expression is,

⇒ 3 × 3 × 3 × 3

Hence, It can be written as;

⇒ 3 × 3 × 3 × 3 = 3 ⁴

Thus, The equivalent expression will be;

⇒ 3⁴

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After calculating the questiοn, we get that the value οf 20% οf 75 is 15.

A value οr ratiο that may be stated as a fractiοn οf 100 is referred tο in mathematics as a percentage. Divide the number by the tοtal and multiply by 100 tο find the percent οf a given number. Therefοre, the percentage refers tο a pοrtiοn per hundred. Per 100 is what the wοrd percentage signifies. The letter "%" stands fοr it.

Percent changes applied sequentially dο nοt add up in the usual way. Fοr example, if the 10% increase in price cοnsidered earlier (οn the $200 item, raising its price tο $220) is fοllοwed by a 10% decrease in the price (a decrease οf $22), then the final price will be $198—nοt the οriginal price οf $200.

Here the given is,

=> 20% of 75

=> 20% \(\times\)75

=> \(\frac{20}{100}\times 75\)

=> 5\(\times 3\)

=> 15.

Hence the value of 20% of 75 is 15.

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The probability that exactly 2 people are left handed if 11% people are left handed and 5 are selected at random is 100.

Probability is a method with the help of which we chose a particular object on random from many given objects.

P(E) = no of favorable outcomes/total number of outcomes

Let there are 100 people

11% are left handed = 11% of 100 = 11

5 are selected randomly.

No of favorable outcomes = 5

Total no of outcomes = 11

Hence, the probability that people selected are left handed is 5/11

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From the given percent of people are left handed and probability of exactly 2 of them are left handed from 5 selected at random is equal to 0.0853.

As given in the question,

Number of people selected at random 'n' = 5

Percent of people are left handed = 11%

Probability of success 'p' = 0.11

Probability of failure 'q' = 1- p

                                       = 1-0.11

                                       = 0.89

Exact number of left handed people 'x' = 2

Probability of people that are exactly left handed

= ⁿCₓ (p)ˣ(q)ⁿ⁻ˣ

=⁵C₂(0.11)²(0.89)⁵⁻²

= (5!/ (5-2)!2!) × (0.0121) × (0.704969)

= 10 × (0.0121) × (0.704969)

= 0.0853

Therefore, from the given percent of people are left handed and probability of exactly 2 of them are left handed from 5 selected at random is equal to 0.0853.

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