If each quadrilateral below is a trapezoid, find the missing measures.
#5

We have the following:

Since it is a square, the sides are equal, and the perimeter is the sum of all the sides, therefore it would be

The answer is 8n - 12

Recall the following properties of exponentials:

Use these two properties in that order to find another expression for the same number:

Therefore, the correct choice is option A)

To find the initial population, we evaluate

at t=0:

Therefore, the initial population was 160 individuals.

To find the population after 10 years, we evaluate the given function at t=10:

Therefore, the population after 10 years is 678 individuals.

Answer:

The initial population was 160 individuals.

The population after 10 years is 678 individuals.

The translation of two units right of the graph of y = x is graphed at the end of the answer.

Translation is a transformation to the graph of a function or of a figure that keeps everything such as orientation and inclination stable, changing only the position of the graph.

The translations are movements to left, right, up or down, and each movement is represented as follows:

In this problem, the definition of the translation is given as follows:

y = f(x - 2).

Hence a = 2, and the function is shifted right 2 units.

Considering function y = x, the translated function is:

y = f(x - 2) = x - 2.

(each instance of x in the function is replaced by x - 2).

The graph of the two functions is shown at the end of the answer, which x - 2 being a shift right of 2 units of f(x).

The function is not given, hence we suppose that it is of y = x.

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The value of the indices given will be

[tex](\sqrt{5}) (\sqrt[3]{5})[/tex] simplifies to give [tex]5^{\frac{5}{6} }[/tex] or [tex]\sqrt[6]{3125}[/tex][tex]\sqrt[6]{3125}[/tex]

The indices concept can be used for this simplification. An index is the small number which tells us how many times a term had been multiplied by itself.

[tex](\sqrt{5}) (\sqrt[3]{5}) = 5^{\frac{1}{2} } . 5^{\frac{1}{3} }\\\\(\sqrt{5}) (\sqrt[3]{5}) =5^{\frac{1}{2} +\frac{1}{3} }\\\\(\sqrt{5}) (\sqrt[3]{5}) =5^{\frac{2+3}{6}[/tex]

[tex](\sqrt{5}) (\sqrt[3]{5}) = 5^{\frac{5}{6}} = \sqrt[6]{5^{5} } = \sqrt[6]{3125}[/tex]

Therefore, the result of the simplification is [tex]5^{\frac{5}{6} }[/tex] or [tex]\sqrt[6]{3125}[/tex]

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we have the equation

y=5+2x

this is the equation of the line

the slope is positive m=2

the y-intercept is (0,5)

the x-intercept is (-2.5,0)

using a graphing tool

the graph in the attached image

please wait a minute

Answer:

x-intercept is at (18, 0)

y-intercept is at (0, 360)

1365 batting orders  are possible for the game.

Given,

In the question:

In a cricket match, you have a squad of 15 players and you need to select 11 for a game.

To find the how many batting orders are possible for the game?

Let's Know:

What are combination?

Combinations are also referred to as selections. Combinations imply the selection of things from a given set of things. In this case, we intend to select the objects.

Combination formula

ⁿCr = n! / ((n – r)! r!

n = the number of items.

r = how many items are taken at a time.

Substitute the values in above formula :

15! / 11! (15 - 11)!

= 15! / 11! 4!

= 15 × 14 × 13 × 12 / 4 × 3 × 2

= 1365 orders

Hence, 1365 batting orders  are possible for the game.

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The required solution of the inequality on  the number line is represented as x>20 .

Any monotonically rising function can, by definition, be applied to both sides of an inequality without destroying the inequality connection (provided that both of the expressions are in the domain of that function).

–3(2x – 5) < 5(2 – x)

-6x+30 < 10-5x

-6x+5x<-20

-x<-20

x>20 (x∈R)

The inequality relation is flipped when a monotonically decreasing function is applied to both sides of an inequality. In the equations for the adding inverse and multiple inverse for positive numbers, a monotonically decaying function is utilized.

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f is the ceiling function

f(1.5) = 2

Answer: it is 40 times greater

Step-by-step explanation:

please give brainlyist

Answer:

40x larger

Step-by-step explanation:

9.6 is 4 times larger than 2.4

and 10^4 is 10 times larger than 10^3

We are asked to express 952 in scientific notation

The scientific notation is given by

The number 952 has the decimal point at the end, so we move this decimal point to the left until there is only one digit is left (9 in this case) and then count the number of times we moved.

In this case, we moved 2 times so the exponent (power) is 2

The sign of exponent is positive when we move to the left (like in this case)

The sign of exponent is negative when we move to the right.

The milestones at which we will be profitable in terms of the number of consumers serviced are going to be (20, $170), and (130, $60).

In several aspects of commerce and finance, a break-even point is an important concept to understand. In the context of finance and accounting, it is a reference to the level of output at which the total production income matches the entire production expenses.

When it comes to financing, the moment at which an investment is considered to have broken even is known as the "break-even point."

When the market price of an underlying asset hits the level at which a buyer will not incur a loss, this is referred to as the break-even point in the options trading market.

In contrast, the point at which a buyer will not incur a loss.

The following will serve as examples of the model:

n - n1 = m(p - p1)

n - 50 = -1(p - 140)

n = -p + 190

Where

Revenue = price * quantity

Revenue = p * n

Revenue = (190 - n) * n

[tex]Revenue= 190n - n^2[/tex]

Cost = 40n +2600

At break-even, revenue = cost

[tex]190n - n^2 = 40n + 2600[/tex]

[tex]n^2 - 150n + 2600 = 0.[/tex]

n = 20 p = 170

n = 130 p = 60

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We have the following statements and results.

A. A rhombus is a quadrilateral.

True. A rhombus is a quadrilateral all of which sides have the same length.

B. A quadrilateral is a polygon with four angles.

True. A polygon is a plane figure with at least three straight sides and angles, and typically five or more.

C. In quadrilateral PQRS, ∠P and ∠S are opposite angles.

False. If we have a quadrilateral PQRS, that means that ∠P and ∠S are consecutive angles, not opposite.

D. The diagonals of a rhombus are perpendicular and bisect each other.

True. It is true that the diagonals of a rhombus are always perpendicular and bisect each other.

Answer.

Statement C is false.

The cost of the item is $247.5 when x=90

Let x represent the number of units of the item

Cost of item excluding tax = $2.75x

Algebra: The area of mathematics known as algebra aids in the representation of circumstances or problems as mathematical expressions. Creating a meaningful mathematical expression, it requires variables like x, y, and z as well as mathematical operations like addition, subtraction, multiplication, and division. Algebra is used in every discipline of mathematics, including trigonometry, calculus, and coordinate geometry.

Finding the cost of the item excluding tax when x=90 we get:

= 2.75*90

= 247.5

So, the cost is 247.5

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The value of x is 7 units

Length = 4x + 2 = 4 x 7 + 2

=> length = 30units

Breadth = 5x = 5(7 )= 35

Breadth =  35 units

Given,

Perimeter of the rectangle is 130 units

Length of the rectangle = 4x + 2

Breadth of the rectangle = 5x

To find the  value of x

Now According to the question:

We know that;

Perimeter of a Rectangle = 2(l + b)

where, l = length of the rectangle  

b = breadth of the rectangle

Now, plug the values in above formula :

130 = 2(4x + 2 + 5x)

130 = 2(9x + 2)

130 = 18x + 4

130 - 4 = 18x

126 = 18x

x = 126/ 18

x = 7

Hence, The value of x is 7 units .

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We are asked to determine probabilities from a population of high school graduates. Let's remember that probability is defined as the quotient of desired events and the number of total events.

a) what is the probability that a 2001 graduate of City High School was accepted into college

To determine the probability we need to find the quotient of the number of students that were accepted into college and the total number of students. The total number of students accepted into college is 145 female plus 100 males, therefore, the probability is:

Therefore, the probability is 65.3%.

b)what is the probability that 2001 graduate of City high School was not a female

To do this we will use the fact that the sum of the probabilities that a student is a female plus the probability that the student is not a female must be equal to 1.

Therefore, solving for the probability that the student is not a female we get:

The probability that the student is female is the quotient between the number of female students and the total number of students, therefore:

Therefore, the probability that the student is not a female is 53.9%.

c) what is the probability that a 2001 graduate of City high School was accepted into college or male

To determine this probability we need to have into account that the probability of event A or event B happening is the sum of both probabilities minus the probability of both events happening at the same time, therefore:

Replacing the probabilities we get:

Solving the operations:

Therefore, the probability that a student is accepted or male is 91.6%

d) what is the probability of being a female given you were accepted into college.​

The probability of event A given event B is given by the following formula:

In this case, we have:

Replacing the probabilities:

Therefore, the probability is 60%.

The annual percentage rate (APR) for the loan of $3,600 at 8% add-on interest for 3 years is 15.6%.

The annual percentage rate is the nominal or effective interest rate charged on a loan for a year, unlike the Monthly Percentage Rate (MPR), which is a monthly rate.

The annual percentage rate can be calculated by using the formula:

APR = 2Nr/N + 1

N = number of payments

r = the add-on interest rate

N = 3 years = 36 months (12 x 3)

r = 8% or 0.08 (8/100)

APR = (2 x 36 x 0.08)/(36 + 1)

= 5.76/37

= 0.15.57

= 15.57%

= 15.6%

Thus, with an 8% interest rate for 3 years, the APR is 15.6%.

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Answer:

10 divided by 3 1/3 is;

Explanation:

We want to divide 10 by 3 1/3;

Firstly, let us convert the mixed fraction to improper fraction;

Then we can proceed to divide;

Therefore, 10 divided by 3 1/3 is;

One option is to use the distance formula.

In this case, this is what Julie would be working with:

[tex]d = \sqrt{(x_1-x_2)^2+(y_1-y_2)^2}\\\\d = \sqrt{(x-w)^2+(y-z)^2}\\\\[/tex]

If Julie knew the values of x, y, w, and z, then she could find a numeric result for the distance (d).

a) Area of the parallelogram = b x h

= 9 cm x 7 cm

= 63 cm^2

Consider that the Alternate Exterior Angles are always equal for a transversal passing through two parallel lines.

The given diagram depicts two incline parallel lines and the vertical line acts as a transversal to them.

Now, angle 1 and angle 8 are alternate exterior angles so they must be equal,

So the measure of the angles is given by,

Thus, both the angles measure 149 degrees.

The critical value of tα/2 for a 90% confidence interval for the sample size 15 is 1.761.

Given, sample size=15

Confidence interval= 90%.

To find the critical value we have to first find alpha, by subtracting 90 from 100.

= 100%-90%

=1-0.9

=0.1

α=0.1

α/2=0.05

Next, we have to find the degrees of freedom(df) by using the formula n-1.

=15-1

df=14

Calculate tα/2 by using t-distribution with degrees of freedom 14 and α/2 = 0.05 as right-tailed area.

From the table we get the critical value for tα/2 as 1.761.

Therefore, the critical value for a 90% confidence interval with sample size 15 is 1.761.

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Answer: B.

Step-by-step explanation: First, you find the difference between 2 and 5  =( 3 ), and 54 and 45 ( -9 ). Meaning the unit rate is -3. (-9/3 = -3)

The difference between 12:00 am and 2:00 am is 2 hours meaning 2 x 3 is 6. 54 + 6 = 60 meaning at 12:00 am it was 60 degrees Fahrenheit.

Answer:

12

Step-by-step explanation:

y = mx + b  is the slope intercept form of a line.  The b is the y-intercept.

In the equation y = 4x + 12, 12 is in the b spot.

Answer:

y- intercept = 12

Step-by-step explanation:

the equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

y = 4x + 12 ← is in slope- intercept form

with y- intercept c = 12

Okay, here we have this:

Considering the provided information and figure, we are going to calculate the requested measure, so we obtain the following:

We can see that the two triangles are similar because they have the same angles, so from this we have:

PR/RE=PO/OC

PR/195=(PR+160)/305

PR*305=(PR+160)195

305PR=195PR+31200

305PR-195PR=31200

110PR=31200

PR=31200/110

PR=3120/11

PR≈294 ft

Finally we obtain that PR, the distance across the river is approximately 294 ft.

Answer:

  a. $9,090.91

  b. $10,526.32

Step-by-step explanation:

You want to know the value of your $10,000 savings when the price level (a) increases by 10%, and (b) decreases by 5%.

As the price level goes up, the number of items that can be purchased with a given dollar amount goes down in inverse proportion.

When the price level increases by 10%, it is multiplied by 1 +10% = 1.10. The effective purchasing power of the savings will be inversely proportional to that:

  $10,000/1.10 = $9,090.91 . . . "real value" of savings

When the price level decreases by 5%, it is multiplied by 1 -5% = 0.95. The effective purchasing power of the savings will be inversely proportional, so will be ...

  $10,000/0.95 = $10,526.32 . . . "real value" of savings

__

Additional comment

The price level index is usually normalized to a value of 100 at some specified point in time. An increase of 10% in price level would be reflected in an index value of 100×1.10 = 110. Effectively, this means that what did cost $100 at the reference time now costs $110.

With $10,000, you could have purchased 100 of those items, but now you can purchase only 90.91 of those items. Your purchasing power has changed in inverse proportion to the price level.

For the entire year, $9091 will be spent if prices rise by 10%.

In the event that prices drop by 5% for the entire year, $10,526.32

Integers include zero, a positive natural number, and a negative integer represented by a minus sign. The negative numbers are the inverse additions of the comparable positive numbers.

Given,

If the price index is 100, savings equal $10,000.

a) If prices increase by 10% annually, the following formula will be used to calculate the true value of the savings:

Real Value = Nominal Value x Prior Year CPI / Current Year CPI

According to the CPI:

= 100 + (100 x 10/100)

For the current year, = 110%.

The resultant value will be

= $10000 x 100/110

= $9090.90

b) If prices decline by 5% annually, the following formula will be used to calculate the true value of the savings:

Real Value = Nominal Value x Prior Year CPI / Current Year CPI

According to the CPI:

= 100 - (100 x 5/100)

for the current year, = 95%

Consequently, the true value will be:

= $10000 x 100/95

=$10,526.32

As a result, your savings would actually be worth $9090.90 if prices rose by 10% annually.

Alternatively, if prices fall by 5% over the course of the year, the actual worth of your savings is $10,526.32.

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Explanation:

6 bushels = 24 pecks

1 bushel = ??

Answer:

The ratio of bushels to pecks is 1/4