What is the value of the function at x= -2
A. y=-4
B. y=0
C. y=2
D. y=3​

Answer:

4/9

Step-by-step explanation:

5-1/5+4 is the right answer so yes

Answer:

y = 5z - x

Step-by-step explanation:

Given

z = \(\frac{x+y}{5}\) ( multiply both sides by 5 to clear the fraction )

5z = x + y ( subtract x from both sides )

5z - x = y

Answer:

  yes

Step-by-step explanation:

You want a graph of P = 125 +50W.

The given equation is in slope-intercept form. The independent variable is W, and the dependent variable is P.

Usually, the independent variable is graphed on the horizontal axis, which you have done.

The dependent variable is graphed on the vertical axis, which you have done.

The axes are correctly labeled and graduated.

The "y-intercept" (P value) when the independent variable is zero is the constant in the equation, 125. You have correctly shown that on the graph.

The slope of the line is the coefficient of the independent variable (W) in the equation. You have correctly shown that P increases by 50 when W increases by 1.

Yes, you properly graphed the equation.

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The maximum amount Kathy can contribute to a SEP IRA for 2021 is determined by her net self-employment income. It is calculated as 25% of her net earnings, up to a certain limit.

For self-employed individuals like Kathy, the maximum contribution to a SEP IRA is calculated based on their net self-employment income. In 2021, the contribution limit is 25% of net earnings, up to a maximum limit of $58,000. To calculate the maximum contribution, Kathy needs to determine her net earnings from self-employment. Net earnings are calculated by subtracting business expenses from revenues. In Kathy's case, her net earnings would be $111,000 - $42,200 = $68,800.

Since the contribution limit is 25% of net earnings, Kathy can contribute a maximum of 25% of $68,800, which is $17,200. However, it's important to note that the contribution cannot exceed the maximum limit of $58,000. Therefore, in Kathy's situation, the maximum amount she can contribute to a SEP IRA for 2021 is $17,200.

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Answer:

\(135<t_{minutes}\:<315\)

Step-by-step explanation:

Malik's goal is a minimum total of 135 (45 x 3) minutes per week, in three session of 45 minutes.

Notice that it is at least.

So He can do sessions from 3 , 4, 5, 6 up to 7 nights per week

Hence, we can write his goals in minutes per week:

\(G_{w}=3*45<t_{minutes}<7*45\\G_{w}=135<t_{minutes}<315\)

The expression  5w + 2w²   represents the area, in square feet, for each cabin size

What is an expression?

Mathematical expressions consist of at least two numbers or variables, at least one arithmetic operation, and a complete sentence. Any one of the following mathematical operations can be used. A sentence has the following structure: Number/variable, Math Operator, Number/Variable is an expression.

Area of a rectangle = length * width = l*w

length is equal to 5 feet more than twice the width.

=> l= 5+2w

So, area = ( 5+2w  ) *w

             = 5w + 2w²  

Thus, the expression  5w + 2w²   represents the area, in square feet, for each cabin size

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The correct response is C. 0.0036 Square degrees The field of vision of the Hubble Space Telescope is only 0.006 degrees, which is around 100 times less than that of the Micro Observatory telescopes. But it has a 100 times better angular resolution!

Skywatchers can readily view planets with just a modest or medium-sized telescope. How much of our solar system is visible will wow you! Additionally, you don't need a completely dark sky to see all of the planets in our solar system; a telescope can still make Venus, Mars, Jupiter, and Saturn easily visible even when viewed in a city. From $100 to well over $10,000, a telescope can be purchased. In 2022, you can anticipate that a good telescope for visual observing will start around $300 and a telescope capable of deep-sky astrophotography would start around $800. With a 25x telescope, even the tiniest telescope should be able to see Saturn's rings.

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Large telescopes often have small fields of view. For example, the Hubble Space Telescope's (HST's) advanced camera has a field of view that is roughly square and about 0.06 degree on a side. Calculate the angular area of the HST's field of view in square degrees.

A. 0.006 Square degrees

B. 0.36 Square degrees

C. 0.0036 Square degrees

D. 0.06 Square degrees

The probabilities listed here, in percent form and rounded to the fourth decimal place, are 29.9474 for a 5-card poker hand.

Probability is a branch of mathematics that deals with numerical representations of the likelihood of an event occurring or of a proposition being true. The probability of an event is a number between 0 and 1, with 0 approximately denoting impossibility and 1 denoting certainty.

Probability is a branch of mathematics that deals with numerical representations of the likelihood of an event occurring or of a proposition being true. The probability of an event is a number between 0 and 1, with 0 approximately denoting impossibility and 1 denoting certainty.

According to given information;

C(4,3)C(48,2)/C(52,5) - 3 of 4 aces, 2 of 48 non-aces 0.1736%

C(13,5)/C(52,5) - 5 of 13 spades 0.0495%

There are 4 face cards, ace, king, queen, jack, and 4 suits for each. 16 face cards, and 36 non-face cards - C(16,3)C(36,2)/C(52,5) 13.5747%

There are 44 cards that are not aces or kings - C(4,2)C(4,2)C(44,1)/C(52,5) 0.0609%

There is 1 jack and 48 non-jacks C(4,1)C(48,4)/C(52,5) = 29.9474%.

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Answer:

-4

Step-by-step explanation:

3/2 = k + 11/2

Add  -11/2 to each side using the addition property  of equality

3/2 + -11/2 = k + 11/2+ -11/2

-8/2 = k

Simplify

-4 =k

Solution of k = -4 after applying the property of equality of addition and subtraction operation.

"Properties of equality represents the relation between two equal quantities after applying any operation on left hand side same has to be applied on the right hand side to make the balance in the given equation."

According to the question,

(3 / 2) = k + (11 / 2)

Here given operation is addition,

Apply inverse operation of addition,

Case1: Subtract 11/2 from both the sides we have,

   (3 /2) - (11 / 2) = k + (11/ 2) - (11 / 2)

⇒ ( -8 /2) = k

⇒ k = -4

Case 2. Add  ( - 11 /2) to both the sides we have,

  ( 3/ 2) + ( -11 /2) = k +( 11 /2) + (-11/ 2)

⇒( -8 /2) = k

⇒k = -4

Hence, solution of k = -4 after applying the property of equality of addition and subtraction.

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The derivative of f(x) = x⋅5x is f'(x) = 10x, which means that the rate of change of the function at any point x is 10 times the value of x at that point.

Using the product rule of differentiation, we can find the derivative of the function f(x) = x⋅5x as follows:

f'(x) = (x)'(5x) + x(5x)'

where (x)' and (5x)' are the derivatives of x and 5x with respect to x, respectively.

(x)' = 1 (the derivative of x with respect to x is 1)

(5x)' = 5 (the derivative of 5x with respect to x is 5)

Substituting these values, we get:

f'(x) = 1⋅5x + x⋅5

Simplifying further, we get:

f'(x) = 5x + 5x

Therefore, f'(x) = 10x.

In conclusion, the derivative of f(x) = x⋅5x is f'(x) = 10x, which means that the rate of change of the function at any point x is 10 times the value of x at that point.

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The area is 16 in²

The perimeter is 16 in.

A square is a two-dimensional figure that has four sides and all four sides are equal.

The area of a square is side².

We have,

The area of a square is =  s × s

This means,

Area = s x s

The perimeter = 4s

where s is the side length

Now,

If s = 4 in

Area = 4 x 4 = 16 in²

Perimeter = 4 x 4 = 16 in

Thus,

Area = 16 unit square in

Perimeter = 16 in.

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The exercise involves finding the product C = AB, where matrix A is given by [2 9] and matrix B is given by [3 6 1]. We need to perform the matrix multiplication to obtain the resulting matrix C.

Let's calculate the matrix product C = AB step by step:

Matrix A has dimensions 2x1, and matrix B has dimensions 1x3. To perform the multiplication, the number of columns in A must match the number of rows in B.

In this case, both matrices satisfy this condition, so the product C = AB is defined.

Calculating AB:

AB = [23 + 912 26 + 94 21 + 95]

[103 + 612 106 + 64 101 + 65]

Simplifying the calculations:

AB = [6 + 108 12 + 36 2 + 45]

[30 + 72 60 + 24 10 + 30]

AB = [114 48 47]

[102 84 40]

Therefore, the product C = AB is:

C = [114 48 47]

[102 84 40]

In summary, the matrix product C = AB, where A = [2 9] and B = [3 6 1], is given by:

C = [114 48 47]

[102 84 40]

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Answer:

41

Step-by-step explanation:

Erase the line in the middle and it's a right angle, which is 90 degrees, therefore if you subtract 49 from 90 you get 41, the missing angle.

Answer:

Y intercept is (0,2) Answer D.

Step-by-step explanation:

I included a graph for equation y=2/3 x + 2.

We can conclude that the function f(t) is increasing at a varying rate over the interval [3, 3.1], and the average rate of change of 17.9 is a representation of this changing rate over the interval.

We are given the function f(t) = 4t^2 - 5 and the interval [3, 3.1]. We can find the average rate of change of f(t) over this interval using the formula:

average rate of change = [f(3.1) - f(3)] / [3.1 - 3]

First, we calculate f(3) and f(3.1):

f(3) = 4(3)^2 - 5 = 31

f(3.1) = 4(3.1)^2 - 5 = 36.59

Substituting these values into the formula, we get:

average rate of change = [36.59 - 31] / [3.1 - 3] = 17.9

So the average rate of change of f(t) over the interval [3, 3.1] is 17.9.

To compare this average rate of change with the instantaneous rates of change at the endpoints of the interval, we can calculate the derivatives of f(t) at t = 3 and t = 3.1:

f'(t) = 8t

f'(3) = 8(3) = 24

f'(3.1) = 8(3.1) = 24.8

The instantaneous rate of change of f(t) at t = 3 is 24, which is less than the average rate of change over the interval. This means that the function is increasing at a slower rate at t = 3 than it is over the interval [3, 3.1].

The instantaneous rate of change of f(t) at t = 3.1 is 24.8, which is greater than the average rate of change over the interval. This means that the function is increasing at a faster rate at t = 3.1 than it is over the interval [3, 3.1].

Therefore, we can conclude that the function f(t) is increasing at a varying rate over the interval [3, 3.1], and the average rate of change of 17.9 is a representation of this changing rate over the interval.

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Answer: I think 140 ounces

Step-by-step explanation:

Answer:

40

Step-by-step explanation:

y = 50 + .4 x 40

y = 30 + .9 x 40

y = 66 for both equations

Answer:

Step-by-step explanation:

If in doubt, model the situations as a system of equations and then attempt to solve!

It'll let m be the number of miles in these equations.

Cost of A = 50 + 0.4m

Cost of B = 30 + 0.9m

Set these equations equal to each other to find what value of m makes them equal:

50 + 0.4m = 30 + 0.9m

Subtract 0.4m from both sides:

50 = 30 + 0.5m

Subtract 30 from both sides:

20 = 0.5m

Multiply both sides by 2:

40 = m

Therefore, the prices are equal at 40 miles.

The federal government of the United States spent over 28.7 billion dollars on the national school lunch program for the fiscal year of 2022.

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The number of students who do not buy lunch is 624 students - 420 students = 204 students.

The circle graph represents the proportion of students who buy lunch and those who don't. To find the number of students who don't buy lunch, we need to subtract the number of students who buy lunch from the total number of students.

Since 255° represents the proportion of students who buy lunch, we can use this to find the number of students who buy lunch. To do this, we divide the number of degrees by 360° and multiply by the total number of students, 624:

(255° / 360°) x 624 students = 420 students

Therefore, the number of students who do not buy lunch is 624 students - 420 students = 204 students.

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Using the given conditions that sin(20) = cos(2u) = tan(24) = 3, we can find the exact values of sin(2u), cos(2u), and tan(2u) using the double-angle formulas. By substituting the known values into the formulas, we can determine the exact values of these trigonometric functions.

Given sin(20) = 3, we can use the double-angle formula for sine to find sin(2u).

The double-angle formula for sine is sin(2u) = 2sin(u)cos(u). We know that sin(u) = -3/5, so we can substitute this value into the formula to calculate sin(2u).

Therefore, sin(2u) = 2(-3/5)(cos(u)).

Given cos(2u) = 3, we can use the double-angle formula for cosine to find cos(2u).

The double-angle formula for cosine is cos(2u) = cos^2(u) - sin^2(u). Since we already know sin(u) = -3/5 and cos(u) can be calculated using the Pythagorean identity (cos^2(u) = 1 - sin^2(u)), we can substitute these values into the formula to determine cos(2u).

Finally, given tan(24) = 3, we can use the double-angle formula for tangent to find tan(2u).

The double-angle formula for tangent is tan(2u) = (2tan(u))/(1 - tan^2(u)). By substituting the known value of tan(24) = 3 into the formula, we can calculate the exact value of tan(2u).

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Answer:

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

Step-by-step explanation:

Choose any 2 points on the line indicated by dots. I'll choose (5,-2) and (10,-3)

work out the gradient between these two points.

equation:

\( \frac{change \: in \: y}{change \: in\: x} = gradient\)

\( \frac{ - 3 - ( - 2)}{10 - 5} = - \frac{1}{5} \)

the gradient is -1/5

the equation we need to write it in is y=mx+c. use one of the two coordinates chosen. I'll use (5,-2). y is -2, m is the gradient which is -1/5 and x is 5.

working out c:

\(y = mx + c \)

\( - 2 = - \frac{1}{5} (5) + c\)

\( - 2 = - 1 + c \\ \)

add one to both sides.

C is -1

we now have c and the gradient, so the equation is

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

One strategy that may help Emilio write more fluently is practicing speed writing or shorthand techniques.

Practicing speed writing or shorthand techniques can help Emilio increase his writing speed without sacrificing legibility. Speed writing involves using abbreviations, symbols, and shortcuts to represent words or phrases, allowing for faster transcription of thoughts onto paper.

Shorthand systems, such as Gregg shorthand or Pitman shorthand, provide structured methods for condensing words and phrases into simplified symbols.

By learning and practicing speed writing or shorthand techniques, Emilio can improve his writing efficiency and reduce the time it takes to write a few sentences. This strategy allows him to maintain neatness while increasing his writing speed, enabling him to express his thoughts more fluently.

With regular practice and familiarity, Emilio will become more comfortable with the shorthand system and experience a significant improvement in his writing speed and fluency.

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Answer:

2

Step-by-step explanation:

1) substitute a=6 into 36/3a:

36/3×6

2) calculate: 36/3×6 ->2

Answer:

Degree 5

Step-by-step explanation:

Given

Degree of f(x) = 3

Degree of g(x) = 5

Required

Degree of 2f(x) + 4g(x)

2f(x) means 2 * f(x)

Since 2 is a constant

Multiplying f(x) by 2 will result in a polynomial with a degree of 3

Hence 2f(x) has a degree of 3

4g(x) means 4 * g(x)

Since 4 is also a constant

Multiplying g(x) by 4 will result in a polynomial with a degree of 5

Hence 4g(x) has a degree of 5

Having said that;

When 2 polynomials of different degrees are added together, the degree of the result will be the higher degree of both polynomials;

This means that;

Adding a polynomial of degree 3 and another of degree 5 will result in a polynomial of degree 5

Answer:

13.6

Step-by-step explanation:

Since it is asking for 1 decimal place, we assume that it is the tenths decimal place. Since the hundredths decimal place is ≥5, we round up to 6.

There is no such thing as ones in decimals, so I am assuming you mean tenths. If you were to round this to the tenths place, the answer would be 13.6.

13.555 → 13.6 (4 and below, leave it alone. 5 and up, round it up)\

Hope this helps!

Answer:

667 pizzas

Step-by-step explanation:

5-2=3 Unit CM

2000/3=666.6

Can't have .6 of a pizza, so round up

667

The camper should take 3 units of food, 1 first-aid kit, and 1 piece of clothing within the given constraints.

To determine the optimal number of each item the camper should take, we need to maximize the total benefit while considering the capacity constraint of the backpack.

Let's assume the camper takes x units of food, y first-aid kits, and z pieces of clothing.

The backpack has a capacity of 9 ft^3, and each unit of food takes up 2 ft^3. Therefore, the constraint for food is 2x ≤ 9, which simplifies to x ≤ 4.5. Since x must be a whole number and the camper needs at least one unit of food, the camper can take a maximum of 3 units of food.

Similarly, for first-aid kits, since each kit occupies 1 ft^3 and the camper must take at least one, the constraint is y ≥ 1.

For clothing, each piece takes 3 ft^3, and the constraint is z ≤ (9 - 2x - y)/3.

Now, we need to maximize the total benefit. The benefit of food is assigned as 7, first aid as 5, and clothing as 6. The objective function is 7x + 5y + 6z.

Considering all the constraints, the possible combinations are:

- (x, y, z) = (3, 1, 0) with a total benefit of 7(3) + 5(1) + 6(0) = 26.

- (x, y, z) = (3, 1, 1) with a total benefit of 7(3) + 5(1) + 6(1) = 32.

- (x, y, z) = (4, 1, 0) with a total benefit of 7(4) + 5(1) + 6(0) = 39.

- (x, y, z) = (4, 1, 1) with a total benefit of 7(4) + 5(1) + 6(1) = 45.

Among these combinations, the highest total benefit is achieved when the camper takes 3 units of food, 1 first-aid kit, and 1 piece of clothing.

Therefore, the camper should take 3 units of food, 1 first-aid kit, and 1 piece of clothing to maximize the total benefit within the given constraints.

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3Justin's estimated Vo2 max is 25.8(mL*kg*min)

What is Vo2 max ?

 The amount (volume) of oxygen used by your body while exercising as hard as you can is referred to as VO2 max. It's a common tool for determining your level of fitness. Knowing your VO2 max can assist you in training for sports, tracking fitness progress, and improving your heart health.

Here using vo2 max fomula 1.5 miles ,

=> VO2 max = 3.5+483/Time

Here Time= 11 min 25 sec = 25/60 = 0.41 min

Then time=11.42 mins. Now,

=> VO2 max = 3.5+ 483/11.41

=> VO2 max = 3.5+42.3

=>VO2 max = 25.8(mL*kg*min)

Hence His estimated Vo2 max is 25.8(mL*kg*min)

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It is indeed false.

\(\sin^{-1}x\) is a function that takes values of \(x\) between -1 and 1, and takes on values between -π/2 and π/2. Most importantly, it's a function that takes *one* value in its domain and assigns it to exactly *one* value in its range. Hence \(\sin^{-1}x\) is one-to-one.

It's true that \(\sin x=\frac45\) has infinitely many solutions, but \(\sin x\) itself is not one-to-one.

Answer:

False

Step-by-step explanation:

Answer:

800

Step-by-step explanation:

= 2 (13 x 11 + 11 x 11 + 11 x 13 )

= 2 (143 + 121 + 143)

= 2 x 407

= 814 inch^2

nearest hundred = 800

80, answer = 800 inch^2