Which number on this nutrition label appears high? Which nutrient does the number represent? How might the quantity of this
nutrient affect your health?

The value of one fourth squared times one fourth raised to the zero power end quantity all raised to the second power is 1/256.

The exponent is the number of times that a number is multiplied by itself. It should be noted that the power is an expression which shows the multiplication for the same number. For example, in 6⁴ , 4 is the exponent and 6⁴ is called 6 raise to the power of 4.

From the information, the exponent illustrated will be:

= (1/4^2 × 1/4^0)²

= (1/16 × 1)²

= (1/16)²

= 1/16 × 1/16

= 1/256

The value is 1 / 256.

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Answer:

step by step answer at least

Answer:

no it can't be proved similar

Answer

34.056 I'm pretty sure it's right. I took a test with the same question

Answer:

34.556

Step-by-step explanation:

= (3x10) + (4x1) + (5x1/10) + (5x1/100) + (6x1/1000)

= 30 + 4 + 0.5 + 0.05 + 0.006

When the capital letter Y is rotated 180°,  Our point A(x,y) rotates 180 degrees counterclockwise around the origin to become A' (-x,-y). transforming both x and y negative is all we do as a result.

A point, line, or geometric figure can be transformed in one of four ways, each of which affects the shape and/or location of the object. Pre-Image refers to the object's initial shape, and Image, after transformation, refers to the object's ultimate shape and location.

Given,

The capital letter Y is rotated 180°.

The coordinates shift from (x, y) to (x, z) when you reflect a figure across the x-axis (x, -y). The coordinates would change from (x, -y) to (x, y) if you then reflected it over the y-axis (-x, -y). As a result, reflecting over the x- and y-axes will be similar to turning 180 degrees counterclockwise. Our point A(x,y) rotates 180 degrees counterclockwise around the origin to become A' (-x,-y). transforming both x and y negative is all we do as a result.

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Answer:

Without seeing the picture I would say that all are true

Step-by-step explanation:

A proportional relationship does go through the origin.  It is a straight line.  a straight line does not curve.

Answer:

The number "2" does not follow the same pattern

Step-by-step explanation:

as the numbers "2, 20, 4, 8, 300." A pattern is given: 2,20, 4,8,300.

2 is the number which doesn't share the same pattern as 20, 4, 8, 300

A number system is defined as a system of writing to express numbers.

Given,

We need to find the number which doesn't share the same pattern as: 2, 20, 4, 8, 300

We can observe that in the given patterns 2,20, 4,8,300​, all the numbers are divisible by 4 except 2.

Twenty by four equal to five

20/4=5

Four by four equal to one

4/4=1

Eight by four equal to two

8/4=2

Three hundred  by four equal to Seventy five

300/4=75

2 is not divisible by 4.

Hence, 2 is the number which doesn't share the same pattern as 20, 4, 8, 300

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The values of t for which the ball's height is 20 feet are t = 1.64 seconds and t = 0.61 seconds

From the question, we are to determine all values of t for which the ball's height is 20 feet

From the given information,

The ball's height h (in feet) after seconds is given by the following:

h = 4 + 36t - 16t²

To determine all values of t for which the ball's height is 20 feet, we will substitute h = 20 in the equation

h = 4 + 36t - 16t²

Substitute h = 20

20 = 4 + 36t - 16t²

Rearrange

16t² - 36t + 20 - 4 = 0

16t² - 36t + 16 = 0

Divide through by 4

4t² - 9t + 4 = 0

Solve the equation quadratically

Using the quadratic formula,

t = [-b ± √(b² - 4ac)]/2a

a = 4, b = -9, and c = 4

t = [-(-9) ± √((-9)² - 4(4)(4))]/2(4)

t = [9 ± √(81 - 64)]/8

t = [9 ± √(17)]/8

t = [9 ± 4.12]/8

t = [9 + 4.12]/8 and t = [9 - 4.12]/8

t = 13.12/8 and t = 4.88/8

t = 1.64 seconds  and t = 0.61 seconds

Hence, the values of t are t = 1.64 seconds  and t = 0.61 seconds

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The time taken for the rocket to reach its maximum height is; 1.25 seconds.

The maximum height reached by the toy rocket is; 44.5 feet.

It follows from the task content that the maximum height reached by the rocket is to be determined.

The given function is; h (t) = -16 t² + 40t + 7.

Since it follows from evaluation that; at maximum height, the rate of change of height to time is equal to 0.

Therefore; at maximum height;

h'(t) = 0

h'(t) = -32t + 40 = 0

-32t = -40

t = -40/-32

t = 1.25 seconds.

Therefore, the time taken for the rocket to reach its maximum height is; 1.25 seconds.

Also, the maximum height reached by the rocket is at; h (1.25);

h(1.25) = -16(1.25)² + 40 (1.25) + 7

= -25 + 62.5 + 7

= 44.5

The maximum height reached is; 44.5 feet.

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Answer:

  28.072°, 61.928°

Step-by-step explanation:

You want the measures of the acute angles in a right triangle with sides 8, 15, 17.

Any of the (inverse) trig functions can be used to find the angles. You know the acute angles are complementary, so finding one tells you the measure of the other.

  Tan = Opposite/Adjacent

The smallest angle (A) is adjacent to side 15 and opposite side 8.

  tan(A) = 8/15

  A = arctan(8/15) ≈ 28.072°

The complement is angle B:

  B = 90° -28.072° = 61.928°

__

Additional comment

We have taken sides {a, b, c} = {8, 15, 17}. The angles opposite those sides are A, B, C.

You can also use ...

  A = arcsin(8/17)

  B = arccos(8/17)

Answer:

(f o g)(x) = 8x² + 10x + 3

Step-by-step explanation:

(f o g)(x) = f(g(x))

              = 2 (4x² + 5x) + 3

              = 8x² + 10x + 3

The equivalent function of the exponential function is (e) f(x) = 11ˣ

From the question, we have the following function that can be used in our computation:

f(x) = (1/11)^-x

This function can be properly expressed as

f(x) = (1/11)⁻ˣ

Solving further, we need to apply the exponent law of indices

This is represented as

a⁻ˣ = 1/aˣ

When the above rule is applied, we have

f(x) = 1/(1/11)ˣ

Evaluate the quotient

f(x) = (11/1)ˣ

This gives

f(x) = 11ˣ

Hence, the equivalent is (e) f(x) = 11ˣ

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The mapping that represents a function is Y.

And the table with the values from the mapping.

                 X                                  Y

             (-1, 4)                              (1, 4)

             (-2, 5)                             (2, 4)

             (-2, 6)                             (3, 5)

In this question we have been given two mappings i.e., we have been given two relations.

We need to select the mapping that represents a function.

We know that a relation is a function when for every input-value there should be associated with exactly one output-value.

From given table the mappings are:

                 X                                  Y

             (-1, 4)                              (1, 4)

             (-2, 5)                             (2, 4)

             (-2, 6)                              (3, 5)

We can observe that in mapping X, for input -2 there are two outputs.

This means, the mapping X is not a function.

Therefore,  the mapping that represents a function is Y.

And the table with the values from the mapping.

                 X                                  Y

             (-1, 4)                              (1, 4)

             (-2, 5)                             (2, 4)

             (-2, 6)                              (3, 5)

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At a butcher shop, Hilda bought beef and pork. she left with 18.8/25 pounds of meat. Express the number of pounds of pork she bought using a decimal.

= 18.8/25

= 0.752

Answer: 23

Step-by-step explanation: Please give brianlist

Answer:

2¾miles/hour or 2.75 miles/hour

Step-by-step explanation:

average speed = total distance ÷ total time

total time= 2 hours

therefore his average speed= 5½ mile ÷ 2 hours

= 2¾ miles/hour

The value of x is 66°.

What are parallel lines?

No matter how far they may extend in either direction, parallel lines are ones that are equally spaced apart from one another and never cross.

If line m is parallel to line n, the two angles given will be congruent because they will be alternate exterior angles (which are congruent).

Here, we have

m = 132°

n = 2x°

This means we will set both parallel lines equal to each other and solve for x.

132° = 2x°

x = 66°

Hence, the value of x is 66°.

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The value of x is 90 if the 2+10+18+…+x=552 which is an arithmetic sequence.

It is defined as the systematic way of representing the data that follows a certain rule of arithmetic.

Divergent sequences are those in which the terms never stabilize; instead, they constantly increase or decrease as n approaches infinity, approaching either infinity or -infinity.

The given is:

2+10+18+…+x=552

The above is the arithmetic sequence:

a = 2

d = 10 - 2 = 8

a(n) = x

a + (n-1)d = x

2 + (n-1)8 = x ..(I)

s(n) = 552

(n/2)[a + x] = 552

(n/2)[2 + x] = 552 ..(II)

From equation (I) and (II)

The values of x and n:

[tex]\rm \begin{pmatrix}x=90,\:&n=12\\ x=-98,\:&n=-\frac{23}{2}\end{pmatrix}[/tex]

the value of n -23/2 is not possible

x = 90

Thus, the value of x is 90 if the 2+10+18+…+x=552 which is an arithmetic sequence.

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Answer:

x = - 1

Step-by-step explanation:

- 9(1 + 6x) = 42 - 3x ← distribute parenthesis on left side by - 9

- 9 - 54x = 42 - 3x ( add 3x to both sides )

- 9 - 51x = 42 ( add 9 to both sides )

- 51x = 51 ( divide both sides by - 51 )

x = - 1

Answer:-1=x

Step-by-step explanation:

-9(1+6x)=42-3x

-9-54x=42-3x

+54x          +54x

-9=42+51x

-42     -42

-51/51=51x/51

-1=x

You will have $1,09,545.455 in the account in 20 years. An you will put total $72,000 in the account. And you will earn $37,545.455 of total interest.

Here,

We deposit $300 each month earning 4% interest compounded monthly.

we will find the future value of this amount after 20 years.

for finding future value, The general formula is

FV=PV∙(((1+i)ⁿ-1))/i

Where,

FV= future value

PV=present value

i=interest

n=time period

now, our PV=300$ and we have 4% interest compounded monthly

i.e.

i=4/100∙1/12

i=0.0033

And, the period of time is

n=20×12

n=240

Now, we will calculate the future value

FV=300 (((1+0.0033)²⁴⁰-1))/0.0033

FV=300 (((1.0033)²⁴⁰-1))/0.0033

FV=300 (((2.205)-1))/0.0033

FV=300(365.15)

FV=1,09,545.455$

Now, The total money you put into account is

total amount=300×20×12

total amount=72,000$

Total interest,

total interest=109545.455-72000

total interest=37,545.455$

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The equation that best represents the population of the town after x years is C. y = 158,000(1.07)ˣ.

An exponential equation is an equation with exponents.

Exponential equations have the exponents (or) parts of the exponent as variables.

Exponential equations are raised to the power of the indicated exponents or variables.

The population of a town = 158,000

Annual rate of increase = 7%

After x years, the population, y = 158,000 x 1.07ˣ

= 158,000(1.07)ˣ

Thus, in x years, the town's population will become the solution to equation C. 158,000(1.07)ˣ where x is the number of years after the approximation.

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Answer:

The first step is to label the points being (1,2.3),(6,6.8) in which the first ordered pairs is the number of weeks, and the second one is the dollars in millions.

Hence, the slope is: m=(6.8-2.3)/(6-1) = 4.5/5 = 9/10 = 0.9

The slope represents the dollar rate in the millions per week. In this case, the movie grossed $0.9 million per week from week one to the sixth week.

The profit is P 12 after selling the bananas for P 2.50 each after applying the simple arithmetic.

It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.

If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.

For the first part:

1 Peso=4 pieces of 25 centavo coins  

1 Peso=10 pieces of 10 centavo coins

Total length = 2.5 meters

1 floweret uses 5 decimeters

1 decimeter = 1/10 meters

2.5 meter in decimeter

250 decimeter

Total floweret = 250/5 = 50

Total money = 10x50 = P 500

The total cost of bananas = 18

The bananas sold = 2.50(12) = 30

Profit = 30 - 18 = P 12

Thus, the profit is P 12 after selling the bananas for P 2.50 each after applying the simple arithmetic.

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Answer:  x= -3/7

Step-by-step explanation: If trying to find when the fish will hit the floor you know that the floor is y=0 on a graph, so you can sub in 0 for y and solve for x and that will give you the seconds the fish will swim until hitting the bottom.

Answer:

Step-by-step explanation:

If is a permutation group of degree, then the permutation representation of is the linear representation of which maps to the corresponding permutation matrix (here is an arbitrary field). That is, acts on by permuting the standard basis vectors.

Considering the given sample, it is found that:

a) The confidence interval is: (71.43, 77.17).

b) The interval does not contain 78, hence the manufacturer's claim is not correct.

c) The sample size needed is: 55.

The t-distribution is used when the standard deviation for the population is not known, and the bounds of the confidence interval are given according to the following rule:

[tex]\overline{x} \pm t\frac{s}{\sqrt{n}}[/tex]

In which the variables of the equation are presented as follows:

The critical value, using a t-distribution calculator, for a two-tailed 95% confidence interval, with 12 - 1 = 11 df, is t = 2.201.

Using a calculator, the other parameters for the interval are given as follows:

[tex]\overline{x} = 74.3, s = 4.52, n = 12[/tex]

Hence the lower bound of the interval is:

74.3 - 2.201 x 4.52/sqrt(12) = 71.43.

The upper bound is:

74.3 + 2.201 x 4.52/sqrt(12) = 77.17.

For item c, we have that:

The margin of error is:

[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]

Then the sample size is obtained when M = 1.04 as follows:

[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]

[tex]1.04 = 1.96\frac{3.91}{\sqrt{n}}[/tex]

[tex]1.04\sqrt{n} = 1.96 \times 3.91[/tex]

[tex]\sqrt{n} = \frac{1.96 \times 3.91}{1.04}[/tex]

[tex](\sqrt{n})^2 = \left(\frac{1.96 \times 3.91}{1.04}\right)^2[/tex]

n = 55. (rounded up).

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