6- 1/6 divided by 5/7

One serving of tomato juice has mg of more vitamin C per serving is 90mg.

We are given that;

Tomato juice percentage of vit c

Now,

The Daily Value (DV) for vitamin C is 90 mg for adults and children aged 4 and older. This value is used to calculate the percent DV that you see on nutrition labels. So, if one serving (1 cup or 240 ml) of 100% canned tomato juice contains 74% of the DV for vitamin C, this means that one serving contains approximately 66.6 mg of vitamin C

Solving this calculation;

0.74 x 90 mg = 66.6 mg

The DV for vitamin C=90 mg.

Therefore, by percentage the answer will be 90mg.

Learn more about percentages;

brainly.com/question/24159063

#SPJ1

Answer:

15 and 5

Step-by-step explanation:

to evaluate f(6) , substitute n = 6 into f(n)

f(6) = 2(6) + 3 = 12 + 3 = 15

to evaluate g(1), substitute n = 1 into g(n)

g(1) = 1³ + 4 = 1 + 4 = 5

The line parallel to the x-axis passing through the points (5,5) and (-5,5) has a slope of 0, indicating a horizontal line with a constant y-coordinate value of 5.

To determine the slope of the line that represents this relationship, we can use the formula for slope, which is given by:

slope = (change in y-coordinates) / (change in x-coordinates)

In this case, we are given two points on the line: (5,5) and (-5,5).

The change in y-coordinates is 5 - 5 = 0, as the y-coordinate remains constant.

The change in x-coordinates is -5 - 5 = -10.

Substituting these values into the slope formula, we get:

slope = 0 / -10 = 0

Therefore, the slope of the line that represents this relationship is 0.

A slope of 0 indicates that the line is parallel to the x-axis. This means that the line has a constant y-coordinate value for all x-coordinate values. In this case, the line passes through the point (5,5) and (-5,5), and it remains at y = 5 for all x-values.

Visually, a line with a slope of 0 would be a horizontal line on the coordinate plane. It does not have an upward or downward slope but remains parallel to the x-axis.

It's important to note that the slope of 0 indicates a relationship where the dependent variable (y) does not change with respect to the independent variable (x). In this case, no matter the value of x, the corresponding y-value remains constant at 5.

For more such information on: slope

https://brainly.com/question/16949303

#SPJ8

Answer:

\(x=8, y=3\)

Step-by-step explanation:

Recall that if a matrix multiplication of two matrices is defined, then the number of columns of the first matrix is equivalent to the number of rows of the second matrix.

Since matrix M has (11-x) columns and matrix N has y rows, and MN is defined, so it follows:

\(y=11-x----(1)\)

Since matrix N has (y+5) columns and matrix M has x rows, and NM is defined, so it follows:

\(y+5=x----(2)\)

Substitute (1) into (2):

\(11-x+5=x\\2x=16\\\therefore x=8--(3)\)

Substitute (3) into (1):

\(y=11-8=3\)

Answer:

If 83% is incorrect the answer would be A - 93%

Hope this helps!

Mark me brainliest if I'm right :)

Σ

6

1

(

3

i

−

1

)

-1 is repeated 6 times

Σ

6

1

(

3

i

)

−

6

=

3

(

1

+

2

+

3

+

4

+

5

+

6

)

−

6

=

3

(

21

)

−

6

=

63

−

6

=

57

Step-by-step explanation:

Answer:

The scarf cost:

$9.91

Step-by-step explanation:

9.92 - 0.01 = 9.91

Binomial expansion is used to factor expressions that can be expressed as the power of the sum of two numbers.

The proof that (1.01)^12 exceeds (1.02)^6 by 0.0007 is\(\mathbf{(1.01)^{12} - (1.02)^6 \approx 0.0007 }\)

The expressions are given as:

\(\mathbf{(1.01)^{12}\ and\ (1.02)^6}\)

A binomial expression is represented as:

\(\mathbf{(a + b)^n = \sum\limits^n_{k=0}^nC_k a^{n - k}b^k}\)

Express 1.01 as 1 + 0.01

So, we have:

\(\mathbf{(1.01)^{12} = (1 + 0.01)^{12}}\)

Apply the above formula

\(\mathbf{(1.01)^{12} = ^{12}C_0 \times 1^{12 - 0} \times 0.01^0 + ......... .......... + ^{12}C_{12} \times 1^{12 - 12} \times 0.01^{12} }}\)

\(\mathbf{(1.01)^{12} = 1 \times 1 \times 1 + ......... .......... + 1 \times 1 \times 10^{-24} }}\)

\(\mathbf{(1.01)^{12} = 1 + ......... .......... + 10^{-24} }}\)

This gives

\(\mathbf{(1.01)^{12} = 1.1268\ (approximated)}\)

Similarly,

Express 1.02 as 1 + 0.02

So, we have:

\(\mathbf{(1.02)^6 = (1 + 0.02)^6}\)

Apply \(\mathbf{(a + b)^n = \sum\limits^n_{k=0}^nC_k a^{n - k}b^k}\)

\(\mathbf{(1.02)^6 = ^6C_0 \times 1^{6 - 0} \times 0.02^0 + ^6C_1 \times 1^{6 - 1} \times 0.02^1 +.............. + ^6C_6 \times 1^{6 - 6} \times 0.02^6 }\)\(\mathbf{(1.02)^6 = 1 \times 1 \times 1 + 6 \times 1 \times 0.02 +.............. + 1 \times 1 \times 6.4 \times 10^{-11} }\)

\(\mathbf{(1.02)^6 = 1 + 0.12 +.............. + 6.4 \times 10^{-11} }\)

This gives

\(\mathbf{(1.02)^6 = 1.1261\ (approximated) }\)

Calculate the difference as follows:

\(\mathbf{(1.01)^{12} - (1.02)^6 \approx 1.1268 - 1.1261 }\)

\(\mathbf{(1.01)^{12} - (1.02)^6 \approx 0.0007 }\)

The above equation means that:

(1.01)^12 exceed the value of (1.02)^6 by 0.0007

Read more about binomial expansions at:

https://brainly.com/question/9554282

We should be cautious about making predictions that are far outside the range of the data used to create the line of best fit.

What is Algebraic expression ?

Algebraic expression can be defined as combination of variables and constants.

Based on the line of best fit shown in the scatterplot, we can see that there is a positive linear relationship between the high temperature and the number of hot cocoas sold.

The equation of the line of best fit appears to be y = 23.25x - 705.5, where y represents the number of hot cocoas sold and x represents the high temperature.

To make a prediction for a high temperature of 54, we substitute x = 54 into the equation and solve for y:

y = 23.25x - 705.5

y = 23.25(54) - 705.5

y = 694.5 - 705.5

y = -11

According to this prediction, if the high temperature is 54, Josue would sell approximately -11 hot cocoas. However, this result doesn't make sense, as we can't sell a negative number of hot cocoas.

It's possible that the line of best fit is not an accurate model for the data at very high or very low temperatures, or that there are other factors besides temperature that affect hot cocoa sales.

Therefore, we should be cautious about making predictions that are far outside the range of the data used to create the line of best fit.

To learn more about Algebraic expression from given link.

brainly.com/question/28884894

#SPJ1

Answer: False

Step-by-step explanation:

it’s usually 20%

Answer:

False

Step-by-step explanation:

1. Normally it is 20%.

2. Move yous decimal one place to the left

3. Round this number to the next easy coin amount

4. Double that number

That is roughly 20%

The most likely number of people who visited the library zero times last summer based on Amy's survey is 632 people

To find the number of people who were most likely not to visit the library, you need to find the percentage of people who did not visit the library from Amy's survey.

Percentage of males:                                           Percentage of females:

= 14 / 25                                                                 = 17 / 25

= 56%                                                                     = 68%

From the population of 1,000, the males and females who went to the library zero times would be:

Number of males:                                           Percentage of females:

= 56 % x 400                                                  = 68 % x 600

= 224 males                                                    = 408 females

Total number of people :

= 224 + 408

= 632 people

Find out more on surveys at https://brainly.com/question/27702198

#SPJ1

The given Mayan number which is : :|| :|| in decimal (base 10) is 42.

The Mayan number system is a base-20 system that uses three symbols: a dot (.), a horizontal bar (|), and a shell-like symbol (:). The symbol for zero is a shell-like symbol (:).

To convert the given Mayan number to decimal (base 10), we need to understand the positional value of each symbol. Each position in the number represents a power of 20, with the rightmost position being 20⁰, the next position to the left being 20¹, and so on.

The Mayan number given, : :|| :||, can be broken down as follows:

The leftmost position has no symbol, which represents a value of 0.

The second position from the left has two shell-like symbols (:), which represents a value of 2x20¹ = 40.

The third position from the left has two horizontal bars (||), which represents a value of 2x20⁰ = 2.

The given Mayan number in decimal (base 10) is 40 + 2 = 42.

To learn more about conversion click on,

https://brainly.com/question/30650712

#SPJ1

Complete question is:

Convert the following Mayan number to decimal (base 10).

: :|| :||

The value of the probability P(A and B) is 5/72 if the house numbers along a street consist of two-digit numbers, option (B) is correct.

It is defined as the ratio of the number of favourable outcomes to the total number of outcomes, in other words, the probability is the number that shows the happening of the event.

Total number of outcomes = 9×8  = 72

(because the total number of digits excluding 0)

Event A: choosing 8 as the first digit

Event B: choosing a number less than 6 as the second digit

Total favourable outcomes = 1×5 = 5

Because there are total 5 digits that are less than 6 {1, 2, 3, 4, 5}

Probability = 5/72

Thus, the value of the probability P(A and B) is 5/72 if the house numbers along a street consist of two-digit numbers option (B) is correct.

Learn more about the probability here:

brainly.com/question/11234923

#SPJ1

Answer:

The answer is B I'm pretty sure.

Step-by-step explanation:

Time4Learning 2022 quiz

(i) Every entry not on the diagonal of \(P^2\) must be 0. For instance, the (1, 2)-th entry in \(P^2\) is

\(\begin{pmatrix}-\dfrac12&a&a\end{pmatrix}\begin{pmatrix}a\\-\dfrac12\\a\end{pmatrix} = -a+a^2\)

All other non-diagonal entries have the same value. Then

\(-a+a^2 = a(a-1) = 0 \implies \boxed{a=0 \text{ or }a=1}\)

Meanwhile, the diagonal entries are

\(\begin{pmatrix}-\dfrac12&a&a\end{pmatrix}\begin{pmatrix}-\dfrac12\\a\\a\end{pmatrix} = \dfrac14+2a^2\)

(ii) Since \(P^2\) is diagonal, the determinant is simply the product of the entries along the diagonal. If a = 0, these entries are each 1/4, so that

\(|P^2| = \left(\dfrac14\right)^3 = \boxed{\dfrac1{64}}\)

If a = 1, they are 9/4, so that

\(|P^2| = \left(\dfrac94\right)^3 = \boxed{\dfrac{729}{64}}\)

Answer:

\(\frac{5^3s^3t^6}{s^4 x 50t}\)

After that, all terms reduce as follows: the \(5^{2}\) with the 25 in 50, the s at the numerator with the s in the denominator, and a t from the denominator with one unit from the exponent of t in the numerator.

The volume of the right pyramid is 23 1/3 cm³. The correct option is E,

Given that the length of the side of the right pyramid is 3.75 cm, While the height of the pyramid is 5 cm. Therefore, the volume of the given right pyramid is:

Volume = (1/3) × (side length)² × Height

              = (1/3) × (3.75 cm)² × 5 cm
              = 23.33 cm³

              = 23 1/3 cm³

Hence, the volume is 23 1/3 cm³.

Learn more about Right-Pyramid here:
https://brainly.com/question/30849358

#SPJ1

The complete question must be:

What is the volume of the right pyramid with the base lenght of 3.75 cm and height of 5cm?

A. 186 and 2-thirds centimeters cubed

B. 84 centimeters cubed

C. 25 centimeters cubed

D. 23 and 1-third centimeters cubed

E. 18 and 2-thirds centimeters cubed

The vertical component of the particle's location, when its horizontal component is 2, is:

y = -1.25

To find the vertical component of the particle's location when its horizontal component is 2, we need to first find the value of t when x = 2.

Given the equation:

x = 3sin(t)

Substitute x with 2:

2 = 3sin(t)

Now, isolate t by dividing both sides by 3:

sin(t) = 2/3

Take the inverse sine (arcsin) of both sides:

t = arcsin(2/3)

Now, plug the value of t back into the y equation:

y = t - 4cos(t) + 1

y = arcsin(2/3) - 4cos(arcsin(2/3)) + 1

Using a calculator to find the approximate value of y, we get:

y ≈ -1.25

Therefore, the vertical component of the particle's location when its horizontal component is 2 is:

y = -1.25

Read more about vertical components here:

https://brainly.com/question/25854506
#SPJ1

(i)  \(\lim_{x \to \frac{\pi^-}{2}}\) h(x) = 3

(ii) \(\lim_{x \to \frac{\pi^+}{2}}\) h(x) = -1

(iii) h(0) = 1/7

The value of λ must be 7, for h(x) to be continuous at x = 0.

The given function is,

h(x) = 1/7, when x = 0

      = 1 - 2 cos 2x, when x < π/2

      = 1 + 2 cos 2x, when x > π/2

      = x cos x/sin λx, when x < 0

Now,

(i) \(\lim_{x \to \frac{\pi^-}{2}}\) h(x) = \(\lim_{x \to \frac{\pi^-}{2}}\) (1 - 2 cos 2x) = 1 - 2 cos π = 1 + 2 = 3

(ii) \(\lim_{x \to \frac{\pi^+}{2}}\) h(x) = \(\lim_{x \to \frac{\pi^+}{2}}\) (1 + 2 cos 2x) = 1 + 2 cos π = 1 - 2 = -1

(iii) h(0) = 1/7

Since the function is continuous at x = 0, so

\(\lim_{x \to 0}\) h(x) = h(0)

\(\lim_{x \to 0}\) x cos x/sin λx = 1/7

\(\lim_{x \to 0}\) cos x.\(\lim_{x \to 0}\) 1/λ(sinλx/λx) = 1/7

1/λ = 1/7

λ = 7

Hence the value of λ must be 7.

To know more about continuous here

https://brainly.com/question/30089268

#SPJ1

The ratio of the areas of two similar polygons can be found by using the ratio of their perimeters or the ratio of similarity and squaring it which is true.

The polygon is a 2D geometry that has a finite number of sides. And all the sides of the polygon are straight lines connected to each other side by side.

Similar polygons are those whose perimeter ratios are identical to their respective scale factors. The common fraction of the sizes of two matching sides of two identical polygons is known as a scale factor.

The given statement is true.

More about the polygon link is given below.

https://brainly.com/question/17756657

#SPJ1

The crime that is often alcohol related is domestic violence. That is option D.

Domestic violence is defined as an abusive relationship that exist between two or more individuals that are closely related by blood or marriage.

The causes of domestic violence include the following:

Therefore, alcohol intake can lead to domestic violence because it can cause the abusive partner to have a reduction in cognitive and physical functions that impair self-control, with the consequent effect of reducing the ability to resolve conflicts nonviolently.

Learn more about alcohol here:

https://brainly.com/question/29549236

#SPJ1

The amount of pounds that an 11-foot beam can support is 496.

Variation is a topic majorly in mathematics which expresses the relations between dependent and independent variables in form of equation. Some types of variation are: direct variation, inverse variation, constant variation etc.

In the given question, let the strength of a beam be represented by S and its length by l.

Thus;

S \(\alpha\) 1/ l^2

S = k/ l^2

where k is the constant of proportionality.

when l = 10 ft, S = 600 pounds, then;

600 = k/(10)^2

600 = k/100

k = 600*100

  = 60000

k = 60000

So that;

S = 60000/ l^2

Now, when l = 11 ft, then;

S = 60000/ 11^2

  = 60000/ 121

  = 495.88

S = 496 pounds

The amount of pounds that 11 ft beam can support is 496.

Learn more about variation at https://brainly.com/question/10252139

#SPJ1

Answer:

Hope you can understand my handwriting though

The coordinates of the fourth vertex is (1,-8).

As three of a parallelogram's vertices, we were given:

(3,-2), (-1,-4), (5,-6). (5,-6).

We see that (3,-2) and (-1,-4) form a diagonal after charting the points as in the attachment.

The midpoint formula determines what point on this diagonal is in the middle.

Keep in mind that both diagonals' midpoints are identical.

Specify the coordinates of the fourth point (x,y).

As a result of once more applying the midpoint formula to (3, -2), we get:

x=1 and y=-8

The fourth point's locational details are as follows:

(1,-8).

To learn more about vertex refer to:

https://brainly.com/question/29030495

#SPJ1

The complete question is,

A good can be produced for a total cost of 600 or 850 when making 100 units and 150 units, respectively. Discover an equation for TC in terms of Q, the number of generated units, presuming that the total cost function is linear.

The lengths of the other two sides of the right triangle are 24m and 25m, respectively.

Let's assume the consecutive integers representing the lengths of the other two sides of the right triangle are x and x + 1, where x is the smaller integer. We are given that the shortest side measures 7m. Now, we can use the Pythagorean theorem to solve for the lengths of the other two sides.

According to the Pythagorean theorem, in a right triangle, the square of the length of the hypotenuse (the longest side) is equal to the sum of the squares of the lengths of the other two sides.

Using this theorem, we have the equation:

\(7^2 + x^2 = (x + 1)^2\)

Expanding and simplifying this equation, we get:

\(49 + x^2 = x^2 + 2x + 1\)

Now, we can cancel out \(x^2\) from both sides of the equation:

49 = 2x + 1

Next, we can isolate 2x:

2x = 49 - 1

2x = 48

Dividing both sides by 2, we find:

x = 24

Therefore, the smaller integer representing the length of one side is 24, and the consecutive integer representing the length of the other side is 24 + 1 = 25.

Hence, the lengths of the other two sides of the right triangle are 24m and 25m, respectively.

For more question on lengths visit:

https://brainly.com/question/28322552

#SPJ8

Answer:

--------------------

The range of the given function has one restriction, its denominator can't be zero, hence:

Therefore the function can get any value but zero:

The matching answer choice is D.

Linear function is f(x) = mx + b.

Reciprocal of a function f(x)  is 1/f(x).

So the reciprocal of linear function has a form of f(x) = 1 / (mx + b).

The only answer choice in same form is D.

Substitute x = - 5/3 into function to get:

This is undefined value, therefore it represents the vertical asymptote.

The function gets close to - ∞ when x → - 5/3 from left and gets close to +∞ when x → - 5/3 from right (see attached graph).

Therefore the correct choice is B.

The number of coupon codes that can be generated is given as follows:

247,808 coupon codes.

The Fundamental Counting Theorem states that if there are m ways to do one thing and n ways to do another, then there are m x n ways to do both.

This can be extended to more than two events, where the number of ways to do all the events is the product of the number of ways to do each individual event, according to the equation presented as follows:

\(N = n_1 \times n_2 \times \cdots \times n_n\)

The codes are composed as follows:

Thus the total number of codes is obtained as follows:

N = 22² x 8³

N = 247,808 coupon codes.

More can be learned about the Fundamental Counting Theorem at https://brainly.com/question/15878751

#SPJ1

Let the bigger number be x.

x- 37976 = 48698

x= 48698 + 37976 = 86674

Answer:

Let the bigger number be x.

x- 37976 = 48698

x= 48698 + 37976 = 86674

Step-by-step explanation:

Step-by-step explanation:

Answer:

Step-by-step explanation:

208