Please someone help me with this math problem

What else is part of the problem?

The average of the numbers 11, 20, 13, and 16 is 15

The average may be calculated by dividing the total number of values by the sum of all the numbers. An average of the values in a sample of data may be used to determine a mean. In other words, the arithmetic mean is another name for an average. A mean is a term used to describe the average.

Finding an average helps us understand a general pattern of behavior or trend. For example, knowing Mrs. Mansell's average shopping expenditure helps us understand whether she typically spends a lot or little money, and knowing Keiran's average spelling score helps us understand how proficient he typically is.

In the above question:-

The average of the numbers 11, 20, 13, and 16  is

15

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Answer:

[tex]3x^{2}[/tex] + x + 6

Step-by-step explanation:

Answer:

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

The distance is the product of the speed and time.

Given:

Find the distance:

The equation of the line that passes through the points ( − 1 , − 5 ) and (1, 3) is y = 4x - 1

The slope, m of the linear function is calculated using the points on the graph (-1, -5) and  (1, 3)

m = (y₀ - y₁) / (x₀ - x₁)

m = (-5 - 3) / (-1 - 1)

m = (-8) / (-2)

m = 4

equation passing through point (1, 3)

(y - y₁) = m (x - x₁)

plugging in the points

y - 3 = 4 * (x - 1)

y - 3 = 4x - 4

y = 4x - 4 + 3

y = 4x - 1

The equation of the line passing through points  (-1, -5) and  (1, 3) is written as y = 4x - 1

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Answer:

8232 South African Rand

Step-by-step explanation:

The question cuts off at "if the current exchange" so the exchange rate is not specified. At the time of writing this answer, the echnage rate from one sterling pound to South African Rand is 1=20.58. So, we just need to multiply 20.58*400 to get 8232.

Answer:

Step-by-step explanation:

a(b - c) = de

b - c = de/a

-c = de/a - b

c = b - de/a

Pls mark as brainliest. Cheers

Answer:

(g+f)(x/4) = x^2/16 + 3x/4

Step-by-step explanation:

To find (g+f)(x/4), we must first find the expressions for g(x) and f(x) and then add them together.

g(x) = x^2 + 4

f(x) = 3x - 4

So (g+f)(x) = g(x) + f(x) = x^2 + 4 + 3x - 4 = x^2 + 3x + 0

Now we can substitute x/4 for x in the expression:

(g+f)(x/4) = (x/4)^2 + 3(x/4) + 0

Multiplying it out

(g+f)(x/4) = (x^2/16) + (3x/4) + 0

so (g+f)(x/4) = x^2/16 + 3x/4

Answer:

A. Stephanie correctly rewrote g(x) as a transformation of f(x), and she described the asymptotes of the two functions correctly.

Step-by-step explanation:

The statement is true because, g(x) = f(x) + 4 is indeed a transformation of f(x) by shifting the graph 4 units up, and because the horizontal asymptote is determined by the highest degree term in the function, which in this case is the same for both functions, so the two functions will have the same vertical asymptote, but the horizontal asymptote is determined by the leading coefficient which is different for both functions, so the two functions will have different horizontal asymptotes.

Answer:

[tex]\boxed{-2 < x\le1}[/tex]

Representation on number line is in attached image.

Notice that -2 has an unfilled circle and 1 has a filled circle. Important

Step-by-step explanation:

The given inequality is

[tex]2 < 4x+10\le14[/tex]

Subtract 10 throughout:

[tex]2-10 < 4x+10-10\le14-10\\\[/tex]

[tex]-8 < 4x\le4[/tex]

Divide throughout by 4:

[tex]-2 < x\le1[/tex]

Answer:    [tex]\boxed{-2 < x\le1}[/tex]

This is represented on the number line as follows: Notice the use of the

Answer:

To find the greatest possible price of the calculator, we can use the information given about the total sales.

We know that the total sales of the calculator on three days are $180, $414, and $306. We can assume that the calculator is sold at a single price p on all three days, and the total number of calculators sold is x, y and z respectively.

So, we can set up the following equation:

px = $180 (1)

py = $414 (2)

p*z = $306 (3)

From (1) and (2) we can say x < y and from (2) and (3) we can say y > z

so the greatest possible price of the calculator will be the one from equation (2)

p = $414 / y

Therefore, the greatest possible price of the calculator is $414 / y.

It is important to note that we don't know the actual numbers of calculators sold, but we know that y is greater than x and z, and that is why we can say that the greatest possible price of the calculator is $414 / y.

The indicated congruency of the angles ∠BEC and ∠AED (∠BEC ≅ ∠AED) and ∠BEA and ∠CED (∠BEA ≅ ∠CED), according to the alternate interior angles postulate, shows that [tex]\overline{AB}[/tex]║[tex]\overline{CD}[/tex] and  [tex]\overline{BC}[/tex]║[tex]\overline{AC}[/tex] are parallel.

Two segments on a plane are parallel if the distance between the segments remain the same, through the lengths of the segments.

The specified details of the dimensions of the segments in ABCD are;

Segments [tex]\overline{AC}[/tex] bisects segment [tex]\overline{BD}[/tex] and vice versa

Required to prove that [tex]\overline{AB}[/tex] ║ [tex]\overline{CD}[/tex] and [tex]\overline{BC}[/tex] ║ [tex]\overline{AD}[/tex]

The two column consisting of the statements and reasons to prove that the specified sides are parallel is presented as follows;

Step [tex]{}[/tex]        Statement                                    Reasons

1.    [tex]{}[/tex]   [tex]\overline{AC}[/tex] and [tex]\overline{BD}[/tex] bisect each other           Given

2. [tex]{}[/tex]    [tex]\overline{BE}[/tex] ≅ [tex]\overline{ED}[/tex] and  [tex]\overline{CE}[/tex] ≅ [tex]\overline{AE}[/tex]                   Definition of bisected segments

3.   ∠BEC ≅ ∠AED and  ∠BEA ≅ ∠CED     Vertical angles theorem

4. [tex]{}[/tex] ΔBCE ≅ ΔADE and ΔBEA ≅ ΔCED      SAS congruency rule

5.  [tex]{}[/tex] ∠EBC ≅ EDA and ∠EBA ≅ ∠EDC        CPCTC

6.  [tex]{}[/tex] [tex]\overline{AB}[/tex] ║ [tex]\overline{CD}[/tex] and [tex]\overline{BC}[/tex] ║ [tex]\overline{AD}[/tex]                     Converse of alt. int. ∠s theorem

The details of the reasons in the above table are;

Vertical angles theorem

The vertical angle theorem states that the vertical angles formed by two intersecting straight lines are congruent.

SAS congruency rule

The SAS (acronym for Side-Angle-Side) congruency rule states that if two sides and an included angle in one triangle are congruent to two sides and an included angle in a second triangle, the two triangles are congruent

CPCTC

CPCTC is an acronym for Corresponding Parts of Congruent Triangle are Congruent.

Converse Alt, Int, ∠s theorem

The converse of the alt. int. ∠s (abbreviation for alternate interior angles) theorem state that if the the alternate interior angles formed by two lines and a common transversal are congruent, then the two lines are parallel

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The cafe served 49 regular coffees.

You can use the proportion of regular coffees to the total number of coffees to find out how many regular coffees were served.

If 70% of the coffees served were regular, that means that 100-70 = 30% of the coffees served were decaffeinated.

To find out how many regular coffees were served, you can use the following proportion:

(Number of regular coffees) / (Total number of coffees) = 70% / 100%

You can then cross-multiply and solve for the number of regular coffees:

Number of regular coffees = (70/100) * (Total number of coffees)

Given the Total number of coffees = 70, you can substitute that and get:

Number of regular coffees = (70/100) * 70 = 49

Therefore, the number of regular coffees which the cafe served was 49.

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Answer:

116.05

Step-by-step explanation:

15 to 20 = 5 years

compound semiannually = 10 time

annual rate 3% = 1.5% for every 6 mos

so 100*(1+1.5%)^10 =116.05

Answer:

Step-by-step explanation:

You want the missing length EG and the corresponding value of x in isosceles triangle DEF with midline GH of length 6 parallel to base DF of length 12.

The length of segment GH is half the length of segment DF (6/12 = 1/2), so we know that corresponding sides EG and ED have the same ratio:

  EG/ED = 1/2

  2EG = ED . . . . . . . . . . . . multiply by 2·ED

  2(x -5) = (x-5)+9 . . . . . . substitute given values

  2x -10 = x +4 . . . . . . . . simplify

  x = 14 . . . . . . . . . . . . . add 10-x

Then the length of EG is ...

  EG = 14 -5 = 9

Answer:

-2x^2+5y^3+

Step-by-step explanation:

Answer:

6375 mcg

Step-by-step explanation:

hopes this helps :)

Answer:

To calculate the amount you would need to invest in a money market account to have $5,000 at the end of 3 years, we can use the formula for future value of an investment:

FV = PV(1+r)^n

where FV is the future value of the investment, PV is the present value of the investment, r is the interest rate (expressed as a decimal), and n is the number of compounding periods.

In this case,

FV = $5,000 (future value)

r = 5% (APR) = 0.05 (as a decimal)

n = 3 years * 12 (months) = 36

So we can use the formula:

PV = FV / (1 + r)^n

PV = $5,000 / (1 + 0.05)^36

PV ≈ $3,716.76

So you would need to invest $3,716.76 in the money market account to have $5,000 in the account at the end of 3 years.

The y - intercept of the function f(x) = (3x + 4)⁴(x - 5)⁵ is (0, -800,000)

When an equation's graph crosses the y-axis, that location is known as the y-intercept. When x = 0, it is y's value.

A linear equation's constant term serves as a representation for the y-intercept. The y-intercept of the equation y = 2x + 3 is 3, for instance. This indicates that the coordinate plane point (0, 3) is at y = 3 when x = 0.

y= mx + b, where m is the slope and b is the y-intercept, is another way to express a linear equation.

For instance, the equation y = -2x + 5 can be written as y = -2x + 5, and since the y-intercept is 5, the point (0, 5) is on the graph of the equation.

The y-intercept of an equation, or the value of y when x = 0, is the point at which the graph of the equation crosses the y-axis. It can be represented by b in the slope-intercept form of a linear equation as well as by the constant term in the equation.

In the function given;

f(x) = (3x + 4)⁴(x - 5)⁵

Substitute the value of 0 for x and solve to find the y - intercept.

f(0) = (3(0) + 4)⁴(0 - 5)⁵

f(0) = -800000

The value of y - intercept(s) is (0, -800000)

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The y-intercept of the function f(x) = (3x + 4)^4(x - 5)^5 is given as follows:

-800,000.

The function for this problem is defined as follows:

f(x) = (3x + 4)^4(x - 5)^5

Graphically, the y-intercept of a function represents the value of y assumed by the function when the graph of the function crosses the y-axis.

Hence, algebraically, the y-intercept of a function is given by the numeric value of the function when the input x assumes a value of zero.

The numeric value of the function at x = 0 is calculated replacing the two instances of x in the function by zero, hence the y-intercept of the function is defined as follows:

f(0) = (3(0) + 4)^4(0 - 5)^5

f(0) = 4^4 x (-5)^5

f(0) = -800,000.

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5 raised to the fourth power (written as 5^4) is equal to 5 multiplied by itself 4 times. Mathematically, it can be written as:

5^4 = 5 * 5 * 5 * 5 = 625

So, the value of 5 to the fourth power is 625.

I hope this helps :)

[tex]\huge\text{Hey there!}[/tex]

[tex]\mathsf{5^4}[/tex]

[tex]\mathsf{= 5 \times 5 \times 5 \times 5}[/tex]

[tex]\mathsf{= 25 \times 25}[/tex]

[tex]\mathsf{= 625}[/tex]

[tex]\huge\text{Therefore, your answer should be: }[/tex]

[tex]\huge\boxed{\mathsf{625}}\huge\checkmark[/tex]

[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]

If Margie has 64 rectangular steppingstones to arrange in an array in her backyard. The number of arrays that  Margie can  make with the 64 steppingstones is: 2 × 32, 4 ×16, 8 × 8.

Given data:

Rectangular steppingstones to arrange in an array =64

In order to determine the number of arrays we have to find the number that will give us 64 when multiply.

The number that will gives us 64 as the answer when multiply are:

2 × 32 = 64

4 ×16 = 64

8 × 8 = 64

The arrays are 3 which are:

2 × 32

4 ×16

8 × 8

Therefore we can conclude that the  number of array that  Margie can  make with the 64 steppingstones is: 2 × 32, 4 ×16, 8 × 8.

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The representation of the fraction 10/8 as a mixed number is given as follows:

[tex]\frac{10}{8} = 1\frac{1}{5}[/tex]

The fraction in this problem is given as follows:

10/8.

A mixed number is composed by two parts, as follows:

The integer part and the fractional part are defined as follows:

For the division of 10 by 8, we have that:

Then the mixed number is given as follows:

[tex]1\frac{2}{10}[/tex]

The fraction 2/10 can be simplified as 1/5, hence the simplified representation is given as follows:

[tex]1\frac{1}{5}[/tex]

The problem asks to represent the fraction 10/8 as a mixed number

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The sum of numbers 4 and - 9 is, - 5.

And, A weather station is a collection of instruments that measure atmospheric conditions to help study the weather and climate of a specific location.

The process of combining two or more numbers is called the Addition. The 4 main properties of addition are commutative, associative, distributive, and additive identity.

Given that;

The numbers are,

⇒ 4 and - 9

Now, Sum of the numbers 4 and - 9 as;

⇒ 4 + (-9)

⇒ 4 - 9

⇒ - 5

Thus, The sum of numbers 4 and - 9 is, - 5.

And,  A weather station is a collection of instruments that measure atmospheric conditions to help study the weather and climate of a specific location.

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Answer:

Step-by-step explanation:

If you used good technique, you would expect the range of measurements to be small. Good technique would include using a measuring instrument that is calibrated correctly, measuring in the same position and at the same time of day, and being consistent in how you position your body during the measurement. All of these factors would help to reduce the amount of measurement error and therefore lead to a smaller range of measurements.

Answer:

30 = 2·2·3

48 = 2·2·2·2·3

GCF = 6 (2·3)

LCM = 240 (2·3·5·8)

Step-by-step explanation:

Answer:

f(1) = 7

Step-by-step explanation:

f(1) has x = 1 in the interval x < 2 with f(x) = - 2x + 9 , then

f(1) = - 2(1) + 9 = - 2 + 9 = 7

a) The 99% confidence interval for the proportion of all adults in the United States who would have chosen the minimum wage statement is given as follows: (0.3926, 0.4474).

The interpretation is that we are 99% sure that the true population proportion is in this interval.

b) The condition has to be satisfied as the confidence interval is constructed considering an assumption of normality, and by the Central Limit Theorem, at least 10 successes and 10 failures are needed for the sampling distribution of sample proportions to be normal.

A confidence interval of proportions has the bounds given by the rule presented as follows:

[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

In which the variables used to calculated these bounds are listed as follows:

The confidence level is of 99%, hence the critical value z is the value of Z that has a p-value of [tex]\frac{1+0.99}{2} = 0.995[/tex], so the critical value is z = 2.575.

The sample size and the estimate are given as follows:

[tex]n = 2150, \pi = 0.42[/tex]

Hence the lower bound of the interval is given as follows:

[tex]0.42 - 2.575\sqrt{\frac{0.42(0.58)}{2150}} = 0.3926[/tex]

The upper bound of the interval is given as follows:

[tex]0.42 + 2.575\sqrt{\frac{0.42(0.58)}{2150}} = 0.4474[/tex]

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Answer:

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

It is a combination of 3 rectangles.

All dimensions are given apart from the middle one. The missing dimension is:

The total area is:

Answer:It means almost everywhere

Step-by-step explanation:

The value of AE is, 10 units.

A triangle is a three sided polygon, which has three vertices and three angles which has the sum 180 degrees.

Here, From the given figure we can see that two triangle ABE and DEC are similar.

Therefore, The ratio of corresponding sides are equal.

Hence, From figure we get,

⇒ ED/AE = CD/AB

Substitute all the values, we get;

⇒ (x + 6)/(2x + 6) = 8/10

⇒ 10(x + 6) = 8(2x + 6)

⇒ 10x + 60 = 16x + 48

⇒ 16x - 10x = 60 - 48

⇒ 6x = 12

⇒ x = 2

So, The value of AE is,

AE = 2x + 6

AE = = (2 × 2 ) + 6

AE = 4 + 6

AE = 10

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