Use the distributive property to find the product of 7 × 14.6.
98.6
102.2
21.6
98.42

Answer:

29.16 grams

Step-by-step explanation:

To solve this, you have to use the weight of cocoa formula. So the weight of cocoa = 54% percent of chocolate bar's weight which is 54 gram. So weight of cocoa = 54/100*54. This will give you 29.16 grams.

Answer:

498

Step-by-step explanation:

100+100+149+149=498

The perimeter of the figure is 4(π + 9)ft.

A perimeter is a closed path that encompasses, surrounds, or outlines either a two dimensional shape or a one-dimensional length.

Given is a 2 - D figure as shown in the figure attached.

We can write the perimeter as -

P = P{rectangle} + P{semicircle}

P = 2(10 + 8) + (4π)

P =  (4π) + (36)

P = 4(π + 9)

Therefore, the perimeter of the figure is 4(π + 9)ft.

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At x=2, the function in the graph is approaches to infinity. This is satisfied by equation 1 that models the rational function, hence option 1 is the correct answer.

A mathematical definition of an equation is a claim that two expressions are equal when they are joined by the equals sign ("="). For illustration, 2x - 5 = 13.

Two expressions are combined in an equation using an equal symbol ("="). The "left-hand side" and "right-hand side" of the equation are the two expressions on either side of the equals sign. Typically, we consider an equation's right side to be zero.

From given graph we can see that

At x=2, the function in the graph is approaches to infinity.

It means function is not defined at x=2

We know that a rational function is undefined when denominator is equal to zero.

For equation 1:

f(x)= 2(x+2)/(x-2)

Equating the denominator:

x-2=0

x=2

It means function is not defined at x=2

The y-intercept is: y= -2

The function is passing through the point (1,-6).

When we substitute x=1

Hence, option 1 is true.

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A sample size of at least 44 is required to estimate the population mean with 90% confidence and a margin of error of 5, assuming the population standard deviation is approximately .

To find the sample size required to estimate a population mean with a certain level of confidence and margin of error, we can use the formula:

n = (z * σ / E)^2

where:

n = sample size

z = z-score corresponding to the desired level of confidence (in this case, 90% confidence corresponds to a z-score of 1.645)

σ = population standard deviation

E = margin of error

Plugging in the given values, we get:

n = (1.645 * / 5)^2

Simplifying this expression, we get:

n = 43.56

Rounding up to the nearest whole number, we get:

n = 44

Therefore, a sample size of at least 44 is required to estimate the population mean with 90% confidence and a margin of error of 5, assuming the population standard deviation is approximately .

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Answer:

The answer is

x

=

7

and

x

=

2

.

Factor the left side of the equation.

(

x

−

7

)

(

x

−

2

)

=

0

Solve each term in the product separately.

x

−

7

=

0

Add 7 to both sides.

x

=

7

x

−

2

=

0

Add 2 to both sides.

x

=

2

Check.

x

=

7

7

2

−

9

(

7

)

+

14

=

0

49

−

63

+

14

=

0

x

=

2

2

2

−

9

(

2

)

+

14

=

0

4

−

18

+

14

=

0

Answer link

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Step-by-step explanation:

Answer:

1.

An extraneous solution is a root of a transformed equation that is not a root of the original equation as it was excluded from the domain of the original equation.

It emerges from the process of solving the problem as a equation.

2.I begin like:

The vertical asymptotes will occur at those values of x for which the denominator is equal to zero:

for example:

x² − 4=0

x²= 4

doing square root on both side

x = ±2

Thus, the graph will have vertical asymptotes at x = 2 and x = −2.

To find the horizontal asymptote, the degree of the numerator is one and the degree of the denominator is two.

The total number of students who graduated from the Cincinnati universities and colleges are 15382.

We are given that 6.76 % of Cincinnati college and university graduates majored in Registered Nursing.

The number of the Cincinnati college and university graduates who majored in Registered Nursing = 1026.

We need to find the total number of students that graduated from the Cincinnati universities and colleges altogether in 2016.

Let the total number of students be x.

ATQ:

6.67 % x = 1026

6.67 x = 102600

667 x = 10260000

x = 10260000 / 667

x = 15382.309

Rounding off to the nearest whole number is:

x = 15382.

Therefore, we get that the total number of students who graduated from the Cincinnati universities and colleges are 15382.

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The factors of the polynomial function f(x) must be x, x + 6  and x + 3

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

The graph (see attachment)

On the graph, we have the zeros of the function to be

x = -6, x = -3 and x = 0

Set the equations to 0

So, we have the following representation

x + 6 = 0, x + 3 = 0 and x = 0

This means that the factors are

x, x + 6  and x + 3

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Answer:

C=12.5

Step-by-step explanation:

you do 4x2 for 8 then you do 100/8 getting you 12.5

Answer:

1) m = 5

2) c = 12.5

Step-by-step explanation:

1) T = 2m + 30

T = 40

substitute for T

2m + 30 = 40

2m = 10

m = 5

2) A = 4bc

A = 100

b = 2

100 = 4(2)c

100 = 8c

c = 12.5

Answer:

A. Reflection

Step-by-step explanation:

I believe the answer would be reflection

The average rate of change for the interval from x =  7 to x =  8 is 35.  

To calculate the average rate of change for the interval from x =  7 to x =  8, we need to find the difference in y- values and divide it by the difference inx-values within that interval.

Let's calculate it step by step using the given table  

For the interval from x =  7 to x =  8  x1 =  7, y1 = -37  x2 =  8, y2 = -2   Difference in y- values Δy =  y2- y1 = -2-(- 37) =  35  

Difference inx-values Δx =  x2- x1 =  8- 7 =  1  

Average rate of change =  Δy/ Δx =  35/ 1 =  35  

Thus, the average rate of change for the interval from x =  7 to x =  8 is 35.   Note: It's important to mention that the values calculated then are grounded solely on the given data. Please  insure you  corroborate the  delicacy of the  handed data and  environment before using the answer in any important or critical  operations.

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Answer and Step-by-step explanation:

Solution:

(a) Let (bn) be a bounded sequence of (an) then, Bolzano- Weierstrass theorem,

(bn) contains a subsequence that is converges.

(b) The sequence :

Xn = 1 + (-1) n / 2 + 1/n

Clearly, (xn) does not contain 1 or 0.

If we take sequence (x2n), then it converges to 1 and when we take sequence (x2n+1),

Then it converges to 0.

(c) The sequence:

1

1,1/2

1, 1/2, 1/3

1, 1/2, 1/3, 1/4

i.e

(xn) = (1,1/2, 1, 1/2, 1/3, …)

Then, the subsequence (xn) that is identically ½ in second column and 1/3 is third column and so on.

It has sub sequence that converges to every point in infinite set {1, 1/2, 1/3, 1/4, 1/5…}.

(d) The sequence

{1, 1/2, 1/3, 1/4, 1/5…}

if we take sequence of given set, then, this set converges to zero. This is not contained in it.

If (xn) converges to every point in set {1, 1/2, 1/3 …} then there exists subsequence which converges to 0. And 0 does not belong to given set.

Answer:

4005

Step-by-step explanation:

3,998 - (-7) = ?

Two negative signs will make a positive sign.

3,998 - (-7) = 3998 + 7 = 4005

So, the answer is 4005

From the given numbers ,The order from largest to smallest is 105,100,7.6,5.6,4.9,0.51,0.001

What is Descending order?

Descending order can be defined in such a way that the order is from largest to smallest.

Given numbers are ,

0.51 , 7.6 , 10^2 , 5.6 , 105 , 4.9 , 10^-3

10^2 = 10*10 = 100 .

so a^m = a multiplied by m times .

a^-m = 1/ a^m.

10^-3 = 1/1000 = 0.001

So,

We have to write from largest to smallest

we get,

105,100,7.6,5.6,4.9,0.51,0.001

Hence, From the given numbers ,The order from largest to smallest is 105,100,7.6,5.6,4.9,0.51,0.001

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From the circle the value of angle x is 90 degrees

We have to find the value of x

The radius of the circle is 18.5

As we observe the figure the angle x is opposite to the 90 degrees

The angle x and angle 90 degrees are vertical angles

We know that the vertical angles are equal or same

∠x = 90 degrees

Hence, the value of angle x is 90 degrees from the circle

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The length of q is approximately is 0.4 cm.

Trigonometry is a branch of mathematics that studies relationships between side lengths and angles of triangles.

To solve for the length of q in triangle AOPQ, we can use the law of sines, which states:

a/sin A = b/sin B = c/sin C

where a, b, and c are the lengths of the sides opposite the angles A, B, and C, respectively.

In triangle AOPQ, we know that:

Side p = 6.3 cm (opposite angle P)

Angle O = 149° (opposite side q)

Angle P = 29° (opposite side p)

Let use angle sum property of triangles to find the measure of angle Q:

Angle Q = 180° - Angle O - Angle P

Angle Q = 180° - 149° - 29°

Angle Q = 2°

Now we can use the law of sines to solve for the length of q:

q/sin Q = p/sin P

q/sin(2°) = 6.3/sin(29°)

q = sin(2°) × (6.3/sin(29°))

q=0.034 × (6.3/0.484)

q = 0.442 cm

Therefore, the length of q is approximately is 0.4 cm.

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The correct answer is Option A ( III Only). I . -16 sum cannot be negative, II. Not a G.P, III. Sum = 1/4, and IV. Not a G.P.

Given geometric series,

I. 4 +5 +25 /4 ….

The common ratio(r) is (5/1)/(4/1) = 5/4.

S∞ = a / ( 1 - r)

     = 4 / ( 1 - 5/4)

     = 4 / -1/4

S∞ = -16.

Since sum cannot be negative.

II . -7 + 7/3 - 7/9+ ....

  Here common ratio = -7 / (7/3) = -1/3

   but - 7/9 / 7 /3 = 7/9

Here there is no common ratio so this not a G.P.

iii. 1/2 -1 + 2.....

     Common ratio = -1 / (1/2) =  -2

     S∞ =  a / ( 1 - r)

           = 1/2 / (1 -(-2))

     S∞  = 1/4.

iv  4 - 8/5 +16/5.....

   Here there is no common ratio.

   So this is not a G.P.

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Answer:

Sure, I can help with that! Here are the steps to solve each problem:

a) Since sin A = 0.6018, we can use the inverse sine function (sin^-1) to find the measure of angle A. Taking the inverse sine of 0.6018 gives us 37.19 degrees rounded to the nearest degree.

b) Since cos B = 0.9205, we can use the inverse cosine function (cos^-1) to find the measure of angle B. Taking the inverse cosine of 0.9205 gives us 23.06 degrees rounded to the nearest degree.

c) Since tan C = 0.0349, we can use the inverse tangent function (tan^-1) to find the measure of angle C. Taking the inverse tangent of 0.0349 gives us 2.00 degrees rounded to the nearest degree.

I hope that helps! Let me know if you need any further assistance.

Answer:

so simple division he can lift 44kg

one pound is 2.2kg

well you know what to do you divide the number to get the amount he can lift

so 44/2.2 and we get 20 pounds he can lift

Answer: 36 oz box

Step-by-step explanation:

3.1/12=0.258333

7.9/360.291444

Thus, the 36 oz box is the better buy

Answer:

csc(9x)

Step-by-step explanation:

Using the principle of mathematical induction, the  \(n^{th }\) term  of the given quadratic sequence is found to be 3n² - n + 1.

Given sequence:  3, 11, 25, 45,...

The first term of the sequence is 3, the second term is 11, the third term is 25, and the fourth term is 45.

The difference between the first and second terms can be calculated as follows:

11-3 = 8

The difference between the second and third terms can be calculated as follows:

25-11 = 14

The difference between the third and fourth terms can be calculated as follows:

45-25 = 20

The sequence is expressed as follows:

3,3+8,11+11,25+20,...

The difference between consecutive terms expands by 6.

Use the principle of mathematical induction.

\(6(\frac{n(n+1)}{2})\)

= 3n(n+1)

The sequence's nth term can be calculated as follows:

\(n^{th }\) term = 3n(n+1) - 4n + 1

              = 3n² - n + 1

Therefore, the \(n^{th }\) term of the given quadratic sequence is found to be 3n² - n + 1 using the principle of mathematical induction.

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Using common factor method, sum of the given expressions is 17.14m + 9.37

what is common factor ?

In mathematics, a common factor is a factor that two or more numbers have in common. For example, the numbers 12 and 18 have common factors of 1, 2, 3, and 6. The greatest common factor (GCF) is the largest number that divides evenly into two or more numbers.

In algebra, we often use the term "common factor" when referring to expressions. When two or more algebraic expressions have a factor in common, we can use the distributive property to factor out the common factor.

According to the question:
To add the expressions (5.19+4m)+(4.18+3.95m), we can first group the like terms:

(5.19 + 4.18) + (4m + 3.95m)

9.37 + 7.95m

So, the sum of the expressions is:

(5.19+4m)+(4.18+3.95m) = 9.37 + 7.95m

Now, we can use the distributive property to factor out a common factor of m from 7.95m:

9.37 + 7.95m = 4m + (5.19 + 7.95)m

We can factor out a common factor of 1 from (5.19 + 7.95)m:

4m + (5.19 + 7.95)m = (4 + 5.19 + 7.95)m

Adding the coefficients, we get:

4 + 5.19 + 7.95 = 17.14

Therefore, the sum of the expressions is:

(5.19+4m)+(4.18+3.95m) = (4m+5.19)+(3.95m+4.18)= 17.14m + 9.37.

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The value of the statistic for the annual sales in Canadian dollars; C) The standardized score of the minimum annual sales

Standardized scores are defined as scores or data values that have been given a common standard. This standard is a mean of zero and a standard deviation of 1.

Now, in this question the literacy project involved comparing the annual sales of companies. Thus, the value of the statistic for the annual sales in Canadian dollars be equal to the value of the corresponding statistic in United States dollars is the standardized score of the minimum annual sales.

The complete question is; Nyasha's financial literacy project involved comparing the annual sales of companies in Canada and companies in the US that produce software. Using the ratio of 1 CAD to 0.75 USD, she converted all annual sales from the Canadian companies into United States dollars. For which of the following will the value of the statistic for the annual sales in Canadian dollars be equal to the value of the corresponding statistic in United States dollars?

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Answer:

C

Step-by-step explanation:

The shorter the angle, the shorter the side that lies across from it

In angle order it's 33, 71, 76

The lines across in that order are LK, LJ, JK

The correct question is;

Calculate the derivative of the function. Then find the value of the derivative as specified:

f(x) = 5x + 9; f '(2)

A) f'(x) = 0; f'(2) = 0

B) f'(x) = 9; f '(2) = 9

C)f'(x) = 5; f'(2) = 5

D) f '(x) = 5x; f '(2) = 10

Answer:

Option C: f'(x) = 5 and f '(2) = 5

Step-by-step explanation:

We want to find the derivative of f(x) = 5x + 9.

Now, the derivative with respect to x will be;

f'(x) = 5

Now,we also want to find out f'(2)

This means we are to put 2 for x in the derivative function.

In the derivative function, we don't have x as we have just 5.

Thus,f'(2) = 5

For this type of probability question, there are different ways to solve the same question but let's analyze the situation and calculate as simple as possible.

For our question, there are two parts, the first one first is the probability to pick someone who is a woman. Once there are 60 people of which 30 are women, it means this probability is 30/60. Let's keep this probability.

Now let's move on to the second part. The situation where we pick someone who is without a date. once there are 60 people and all 30 women have a date and 16 men also have a date it means 30 + 16 - 60 = 14 people does not have a date. So the probability to pick someone without a date is 14/60.

Now once we have analyzed the two parts of the question, and we have two probabilities all we need is to sum our probabilities, as follows:

But why do we sum and do not multiply? Because we use the proposition OR at "Find the probability of picking someone at random and getting a person who is a woman OR without a date" If the proposition was AND we would have multiplied both probabilities.

(1) x² - 2 x - 8 and Option (2) x² + 2 x - 8 are two polynomials which has been factored.

Given are the polynomials,

1) x² - 2 x - 8

Factors = (x+2)(x-4)

2) x² + 2 x - 8

Factors = (x-2)(x+4)

3) x²-2x-4 = There will be no integral root.

4) x²+2x-4 = There will be no integral root.

Hence the (1) x² - 2 x - 8 and Option (2) x² + 2 x - 8 are two polynomials which has been factored.

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Answer:

B =1/4 s I think, doesn't it mean you multiply when you put a variable next to a fraction? I mean your multiplying his income last year to 1/4

Step-by-step explanation:

I hoped this helped. Wait for more responses if needed too ;)