▶ Use the part of the nutrition label on the right. If protein contains approximately 4 calories per gram, find the percent of calories from protein from one serving of this food. (Round to the nearest tenth of a percent.) ww. The percent of calories from protein from one serving of this food is %. Nutritional information per serving Calories 277 Protein Carbohydrate Fat 11g 45g 6g​

Part A

1 hour = 60 minutes

0.5 hours = 30 minutes (multiply both sides by 0.5)

11.5 hours = 11 hours + 0.5 hours

11.5 hours = 11 hours + 30 minutes

11.5 hours = 11 hours, 30 minutes is the answer

========================================

Part B

20% = 20/100 = 0.20

The lion sleeps 20% more than the cat, which means the lion sleeps 0.20*11.5 = 2.3 hours more

This leads to 11.5 + 2.3 = 13.8 hours being the total time the lion sleeps

1 hour = 60 minutes

0.8 hours = 48 minutes (multiply both sides by 0.8)

13.8 hours = 13 hours + 0.8 hours

13.8 hours = 13 hours + 48 minutes

13.8 hours = 13 hours, 48 minutes is the amount of time the lion sleeps

a) The result is false, indicating that the point (0, 0) does not lie on Line 2. The distance between the lines is undefined since they do not intersect.

b) The distance between the point (3, 5) and the line 4x + 3y = -6 is approximately 4.2 units.

To find the distance between two lines, we can use the formula derived from the distance between a point and a line.

The formula states that the distance between two lines is equal to the perpendicular distance between any point on one line and the other line.

Given the equations of the lines:

Line 1: 4x - 6y = 10

Line 2: -2x + 3y = 5

Let's find the point of intersection between these two lines.

We can solve the system of equations:

4x - 6y = 10 ...(1)

-2x + 3y = 5 ...(2)

Multiplying equation (2) by 2, we get:

-4x + 6y = 10 ...(3)

Adding equations (1) and (3), we have:

0 = 20

The result is an inconsistent system, indicating that the lines are parallel and do not intersect.

Since the lines are parallel, the distance between them is constant.

To find this distance, we can select any point on one of the lines and substitute it into the equation of the other line.

Let's consider the point (0, 0) on Line 1:

-2(0) + 3(0) = 5

0 = 5

b) To find the distance between a point and a line, we can use the formula for the perpendicular distance between a point and a line.

The formula states that the distance between a point (x₀, y₀) and a line Ax + By + C = 0 is given by:

d = |Ax₀ + By₀ + C| / √(A² + B²)

Given the point (3, 5) and the line 4x + 3y = -6, we can calculate the distance using the formula:

A = 4, B = 3, C = -6, x₀ = 3, y₀ = 5

Substituting these values into the formula, we get:

d = |4(3) + 3(5) + (-6)| / √(4² + 3²)

= |12 + 15 - 6| / √(16 + 9)

= |21| / √25

= 21 / 5

= 4.2

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Answer

\(f(t) = 91000 *1.0376^t\)

Explanation

Given

\(a = 91000\) -- initial

\(r = 3.76\%\)

Required

The exponential equation

The exponential equation is:

\(y =ab^t\)

Where

\(b=1 +r\)

We used minus, because the rate increases..

So, we have:

\(b=1 +3.76\%\)

\(b=1 +0.0376\)

\(b=1.0376\)

So:

\(y =ab^t\)

\(y = 91000 *1.0376^t\)

Hence:

\(f(t) = 91000 *1.0376^t\)

Both representations are equivalent and describe the same function.the function rule for this table is:   f(x) = -1/2 x 2

The slope or gradient of a line is a number that describes both the direction and the steepness of the line. A slope of a line is the change in y coordinate with respect to the change in x coordinate.

To write a function rule for a given array, we need to determine how the values ​​in the output column (y) relate to the values ​​in the input column (x).

Looking at the given data, we notice that the output values ​​decrease by 1 every time the input value increases by 2. This suggests that the function is linear and that we can use the slope-intercept form of a linear equation to represent it. .

The slope-intercept form of a linear equation is y = mx b, where m is the slope and b is the y-intercept. In this case, the slope m is -1/2 because the output values ​​decrease by 1 every time the input values ​​increase by 2. The y-intercept b is 2 because the output value is 2 when the input value is 0.

Therefore, the function rule for this table is:

f(x) = -1/2 x 2

where x is the input value and f(x) is the output value.

Alternatively, we can also represent the function in table entries, for example:

f(0) = 2

f(2) = 1

f(4) = 0

f(6) = -1

Both representations are equivalent and describe the same function.

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We want to get the equation on the graphed line.

The equation of the line is: y = 8*x - 9

Then the line is something like:

y = 8*x + b

To find the value of b, we can use one of the two points we got above.

The point (0, -9) means that when x = 0, y is equal to -9, then we can write:

-9 = 8*0 + b

-9 = b

Finally, the equation of the line is:

y = 8*x - 9

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Answer:

Step-by-step explanation:

y = mx + b, where "m" - slope, "b" - y-intercept

Slopes of parallel lines are the same and y-intercepts are different.

P ( \(x_{1}\) , \(y_{1}\) )

y - \(y_{1}\) = m( x - \(x_{1}\) )

~~~~~~~~~~~~

y = 6x + 1 , m = 6

( - 7, 1 )

y - 1 = 6[x - ( - 7 )]

y = 6(x + 7) + 1

y = 6x + 43

Answer:

Step-by-step explanation:

so you have 1/2 times 3 = 1.5

Answer:

a + B = \(\frac{1}{3}\)

Step-by-step explanation:

the sum of the roots a + B = - \(\frac{b}{a}\)

where a and b are the coefficients in the standard quadratic equation

ax² + bx + c = 0 ( a ≠ 0 )

3x² - x - 5 = 0 ← is in standard form

with a = 3 and b = - 1 , then

a + B = - \(\frac{-1}{3}\) = \(\frac{1}{3}\)

Answer:

FV= $160.68

Step-by-step explanation:

Giving the following information:

Initial investment= $150

Interest rate= 3.5% compounded annually

Number of periods= 2

To calculate the future value, we need to use the following formula:

FV= PV*(1+i)^n

PV= present value

i= interest rate

n= number of periods

FV= 150*(1.035^2)

FV= $160.68

Answer:

6 and 2

Step-by-step explanation:

Let the first and second numbers be x and y respectively.

x = 4 + y..... (1)

2x = 4 + 4y...... (2)

Using the substitution method from Eqn(1) into (2)

Anywhere we see x in Eqn(2) we substitute it with 4 + y

I. E. 2(4 + y) = 4 + 4y

8 + 2y = 4 + 4y

Collect like terms.

8 - 4 = 4y - 2y

4 = 2y

.: y = 2

Put y = 2 in Eqn(1), and we have;

x = 4 + 2

x = 6.

.: the first number is 6 and the second number is 2.

Option C is correct.

Answers

A)534.990

B)2.679

C)88.611

D)705.149

E)7905.432

F)3.771

Any number over 5 add 1

hope this helps

Answer:

Step-by-step explanation:

The function rule g(x) after the given transformations of the graph of f(x)=4x is g(x) = -1/2x

Transformation techniques

Transformation is the process of changing the position of an object on the xy-plane.

Given the parent function

f(x) = 4x

If the function is not reflected over x-axis, the resulting function will be f(x) = -4x

If the resulting function is compressed by a factors of 1/8, hence the final function rule will be;

g(x) = 1/8(-4x)

g(x) = -1/2x

Hence the function rule g(x) after the given transformations of the graph of f(x)=4x is g(x) = -1/2x

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The size of the largest interior angle of the field is 69.86°

The law of cosines relates the lengths of the sides of a triangle to the cosine of one of its angles.

Given that, a triangular field has boundaries of lengths 170m, 195m and 210m, we need to find the size of the largest interior angle of the field,

We know that, angle opposite to the largest side is largest,

Therefore,

The largest angle is opposite is 210 m side, (say c)

Using the cosine rule,

210² = 170²+195²-2(170)(195)cosC

CosC = 170²+195²-210² / 2(170)(195)

CosC = 22825 / 66300

CosC = 0.344268477

C = 69.86°

Hence, the size of the largest interior angle of the field is 69.86°

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The quadratic form ax² + bx + c for the given set of factors is 5x² - 2x - 4.

The quadratic equation that takes the form ax^2+bx+c can be determined from a given set of factors by applying the rule:

Let us expand the eqaution: 2(x-1) (2x+3)

So, we have:

2(x - 1)(2x + 3) ⇒ 4x² + 2x - 6.

= 4x² + 2x - 6 + x² - 4x + 2

Now, let us group like terms, we have:

= 4x² + x² + 2x - 4x - 6 + 2

= 5x² - 2x - 4

Therefore, we can conclude that the quadratic form ax² + bx + c for the given set of factors is 5x² - 2x - 4.

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Using the cosine ratio, the distance between Dimitri and Sarah is calculated as approximately 12.4 m.

The cosine ratio is a trigonometric ratio that represents the ratio of the length of the adjacent side to the length of the hypotenuse in a right triangle. It is calculated by dividing the length of the adjacent side by the length of the hypotenuse.

Using the cosine ratio, we have:

Reference angle (∅) = 72 degrees

Hypotenuse length = 40 m

Adjacent length = distance between Dimitri and Sarah = x

Plug in the values:

cos 72 = x/40

x = cos 72 * 40

x ≈ 12.4 [to one decimal place]

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The simplified expression is \(-4x^2 + 3x + 1\), which is a quadratic polynomial. Option D.

To simplify the expression \((8x^2 + 3x) - (12x^2 - 1)\), we can distribute the negative sign to each term within the parentheses:

\(8x^2 + 3x - 12x^2 + 1\)

Next, we can combine like terms by adding or subtracting coefficients of similar powers of x:

\((8x^2 - 12x^2) + 3x + 1\)

Simplifying further, we have:

\(-4x^2 + 3x + 1\)

The resulting polynomial \(-4x^2 + 3x + 1\) is a quadratic polynomial since it has a highest power of x^2 (the exponent of x is 2), which is\(-4x^2.\)Quadratic polynomials are polynomials of degree 2 and can be represented by a parabola when graphed.

In summary, the simplified expression \((8x^2 + 3x) - (12x^2 - 1)\) simplifies to \(-4x^2 + 3x + 1\) , which is a quadratic polynomial. So Option D is correct

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Note the complete question is

Answer: 46, 34

Step-by-step explanation:

2/3(x-40)^2 = 24
(x-40)^2 = 24/(2/3)
(x-40)^2 = 36

x - 40 = 6
x = 46

x - 40 = -6
x = 34

To solve the equation 2/3(x-40)^2 = 24,  start by isolating the variable x.

First, simplify the left side by multiplying both sides by 3/2:

(3/2) * 2/3 (x-40)^2 = (3/2) * 24

(x-40)^2 = 36

Next,  take the square root of both sides (remember to include both  positive and negative square roots, since x can be either positive or negative):

x-40 = ±6

Adding 40 to both sides gives:

x = 40 ± 6

So the main answers are:

x = 46 or x = 34

To support these answers, we can substitute each value back into the original equation and verify that it satisfies the equation:

If x = 46:

2/3(46-40)^2 = 24

2/3(6)^2 = 24

2/3 (36) = 24

24 = 24 (true)

If x = 34:

2/3(34-40)^2 = 24

2/3(-6)^2 = 24

2/3 (36) = 24

24 = 24 (true)

Therefore, the main answers are x = 46 and x = 34, and our supporting answers show that both solutions satisfy the original equation.

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Question 24 :

P594.65 : 35 days

P594.65/7 : 35/7 days

P84.95 : 5 days

⇒ A. P84.95

Question 25 :

88.75 + 85.5 + 90.5 + 87.25 / 4

352/4

88

⇒ B. 88

Question 26 :

I = P × r × t

I = 580.00 × 0.065 × 1

I = P37.70

⇒ B. P37.70

(a)     \(p_{n} =p_{n-1}-0.4p_{0} +n\)

(b)       \(n = {\frac{p_{n-1} -p_{n} }{0.4p_{0}} }\)

Given,

         Initial salmon population \(p_{0}=5000\)

         Extraction rate = 40% per year

(a) Formula for recursion,

         For the first year,

                \(p_{1} =p_{0} -0.4p_{0}+n\)

         For the second year,

                \(p_{2} =p_{1} -0.4p_{0} +n\)

         For the n'th year,

               \(p_{n} =p_{n-1}-0.4p_{0} +n\)

(b) The value of n,

        From the above equation,

                \(p_{n} =p_{n-1}-0.4p_{0} +n\)

                  \(n = {\frac{p_{n-1} -p_{n} }{0.4p_{0}} }\)

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Each year, 40% of the salmon population is extracted from a farming pond.

a. The recursion to describe Pn is Pn = 0.6 Pn-1 + N.

b. The value of N is 3000.

According to the recursion equation, the quantity of fish at the start of the nth year. Pn, is equal to 0.6 times the quantity at the start of the year before, Pn-1, plus the constant quantity of wild salmon that is restocked every year, N.

b. We can set the recursion equation equal to the initial population of 5000 fish in order to get the value of N that ensures the quantity of fish stays constant at the start of each year. Now we have the equation.

0.6Pn-1 + N = 5000. Solving for N gives us N = 3000.

Therefore, a. Pn = 0.6 Pn-1 + N. b.  3000.

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Answer:

[9/5,∞)

Step-by-step explanation:

Rearrange variables to the left side of the equation: c ≥ 11/5-2/5

Calculate: c ≥ 9/5

Express solution set in interval notation: [9/5,∞)

Answer: The correct answer is O E. lose 79 chips.

Brainliest pwease if the answer is correct! <3 ~~

Answer:

What is a linear function? A linear function is a function whose graph is a straight line. The rate of change of a linear function is constant. The function shown in the graph below, y = x + 2, is an example of a linear function.

Graph of linear function

Graph of linear function

A linear function has a constant rate of change. The rate of change is the slope of the linear function. In the linear function shown above, the rate of change is 1. For every increase of one in the independent variable, x, there is a corresponding increase of one in the dependent variable, y. This gives a slope of 1/1 = 1.

A linear function is typically given in the form y = mx + b, where m is equal to the slope, or constant rate of change.

Examples of linear functions include:

If a person drives at a constant speed, the relationship between the time spent driving (independent variable) and the distance traveled (dependent variable) will remain constant.

Assuming no change in price, the relationship between the number of pounds of bananas a person buys (independent variable) and the total cost of the bananas (dependent variable) will remain constant.

If a person earns an hourly wage at their job, the relationship between the time spent working (independent variable) and the amount earned (dependent variable) will remain constant.

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Exponential Functions

What is an exponential function? An exponential function is a function that involves exponents and whose graph is a smooth curve. The rate of change in an exponential function is not constant. The functions shown in the graph below, y = 0.5x and y = 2x, are examples of exponential functions.

Graphs of exponential functions

Graphs of exponential functions

An exponential function does not have a constant rate of change. The rate of change in an exponential function is the value of the independent variable, x. As the value of x increases or decreases, the rate of change increases or decreases as well. Rather than a constant change, as in the linear function, there is a percent change.

An exponential function is typically given in the form y = (1 + r)x, where r represents the percent change.

Examples of exponential functions include:

Step-by-step explanation:

Answer:

A histogram shows the frequencies of data in different intervals. So, you cannot read individual values off a histogram alone. With a detailed enough dot plot, you could get very close to the actual team payrolls for each league. A histogram does not give this precision.

Step-by-step explanation:

Plato sample answer

The distance between points P and Q is √73

First, remember that the distance between two points whose coordinates are (a, b) and (c, d) is given by:

distance = √( (a - c)² + (b - d)²)

Here we can see that the coordinates of the two shown points are:

P = (-3, 2)

Q = (5, -1)

Replacing that in the distance formula we will get:

distance = √( (-3 - 5)² + (2 + 1)²)

distance = √( (-8)² + (3)²)

distance = √73

So the correct option is the third one.

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Answer:

no

Step-by-step explanation:

800x8%=64

64+800=864

Answer:

$736

Step-by-step explanation:

800 x (100% - 8%)

800 x 92%

=736

Using the radius of the Ferris wheel and the angle between the two positions, the time spent on the ride when they're 28 meters above the ground is 12 minutes

The radius of the Ferris wheel is 30 / 2 = 15 meters.

The highest point on the Ferris wheel is 15 + 4 = 19 meters above the ground.

The time spent higher than 28 meters is the time spent between the 12 o'clock and 8 o'clock positions.

The angle between these two positions is 180 degrees.

The time spent at each position is 10 minutes / 360 degrees * 180 degrees = 6 minutes.

Therefore, the total time spent higher than 28 meters is 6 minutes * 2 = 12 minutes.

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The length of side AB in right angled triangle ABC  will be 48 cm.

Every triangle with one 90° angle is said to have a right angle. The triangle with a right angle is known as a right triangle because a right angle is 90 degrees.The longest side of a right angle is known as the hypotenuse, and it is opposite the right angle.

Given,

∠B= 90°, AC = 96 cm, ∠C = 30°

Now, we know, Trignometric ratio sin θ in triangle can be given by-:

sin θ = \(\frac{perpendicular}{hypotenuse}\)

From given figure,

Perpendicular= AB= ?

and Hypotenuse= AC = 96

and θ= 30°

Hence,

sin 30° =\(\frac{perpendicular}{hypotenuse}\)= \(\frac{AB}{96}\)

\(\frac{1}{2} = \frac{AB}{96}\)                                      (∵ sin 30°= 1/2)

\(AB=\frac{96}{2}\)

\(AB= 48 cm\)

Thus, AB= 48 cm

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Correct Question:ABC is a right angled triangle. if B = 90°, AC = 96 cm, C = 30°. Find AB = ?

Answer:

The enrollment is 40.

Step-by-step explanation:

\(.45x = 18\)

\(x = 40\)