For Exercises 1 and 2, find the unknown angle measures in each triangle

A continuous variable does allow fractional amounts. a discrete variable  does not allow fractional amounts.

Which variables require boundaries, also known as real limits, in their measurement scales?

A researcher must utilize genuine limits, which are boundaries that are exactly halfway between adjacent categories, to specify the units for a continuous variable.

What distinguishes a ratio scale from an ordinal scale?

For continuous data, what kind of data would you use?

Line graphs, skews, and other data analysis techniques are used to measure continuous data. One of the most popular kinds of continuous data analysis is regression analysis.

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Answer:

In computer programming, specifically object-oriented programming, a class invariant is an invariant used for constraining objects of a class. Methods of the class should preserve the invariant. The class invariant constrains the state stored in the object

Answer:

$16.80 per hour.

Step-by-step explanation:

So you got 420 dollars earned last week. Jerry worked for 25 hours and if you divide.

You’d find the unit rate which is 420/25 and get 16.8.

$16.80 per hour.

Ahlam needs to give the shopkeeper $15 more to get a balance of $25.

Word problems in Mathematics are mathematical approaches we make use of in our ongoing day to day activities. Algebra leading to word problems usually consist of numbers, variables, and its arithmetic operations.

Ahlam bought goods worth = $90, If she gave the shopkeeper $100, then she will collect $100 - $90 = $10 back.

But if the shopkeeper did not have an exact balance and Ahlam decided to give the shopkeeper $x to get a balance of $25.

Then we can write the expression as:

10 + x = 25

x = 25 - 10

x = 15

Therefore, we can conclude that Ahlam needs to give the shopkeeper $15 more to get a balance of $25.

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Answer:

Answer is 71.95°

Step-by-step explanation:

Cosine formula is

a^2=b^2+c^2-2bc(cosA)

cos A =b^2+c^2-a^2/2bc

if a= 119,b=94,c=173

cos A=94^2+173^2-119^2/2(94*173)

=8836+29,929-14,161/2(16,262)

=38765-14,161/32,524

=24604/32,524

=0.7564

cos A=0.7564

cos^-1=40.85°.that's for angle A.

Using the same formula

B=31.1°

C=180-(40.85+31.1)

C=180-71.95

C=108.05

Since angle on a straight line is 180

therefore x is 71.95

Also the sum of angles A and B

Answer:

28.4253408071... ft

Step-by-step explanation:

If you are saying that the diameter is the hypotenuse of the triangle, then we can use Pythagora's theorem to solve for it:

\(a^2+b^2=c^2\\18^2+22^2=c^2\\324+484=c^2\\808=c^2\\28.4253408071...=c\)

If the question doesn't mention rounding, then that's our answer.

Answer:

y + 3 > 23

Step-by-step explanation:

Hi there,

I broke down the statement so you can understand what I did.

1.) A number y increased by three...

y + 3

2.) ...is greater than 23.

y + 3 > 23

Hope this answer is useful. Cheers.

The product of the expression [3 + 1/10] (-6 x 7 / 12) is -10 + (17 / 20) = negative 10 and 17 over 20.

Multiplication is mathematical arithmetic operation. It is also a process of adding same types of expression to some number of times.

Example - 2 × 3 means 2 is added three times or 3 is added 2 times.

Given that the expression { 3 + (1/10) } {-6 x (7 / 12) }

Simplifying the expression using PEMDAS,

{ 3 + (1/10) } {-6 x (7 / 12) }

= ( 31 / 10 ) × ( -7 / 2 )

= - 217 / 20

= -10 + (17 / 20)

= negative 10 and 17 over 20

Therefore, the value of the expression [3 + 1/10] (-6 x 7 / 12) is -10 + (17 / 20) = negative 10 and 17 over 20

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Answer:

See the attached

Step-by-step explanation:

The solution and filled in Venn diagram is attached

Answer:

6.40 meters

Step-by-step explanation:

To convert feet to meters, divide by about 3.281

21 feet/3.281 = 6.4004876562 meters

Round to the nearest hundredth, so it will be 6.40 meters

Answer:

h(n)=0−9(n−1)

Step-by-step explanation:

From the recursive formula, we can tell that the first term of the sequence is 0

and the common difference is -9

This is the explicit formula of the sequence:

h(n)=0−9(n−1)

Note that this solution strategy results in this formula, however, an equally correct solution can be written in other equivalent forms as well.

Hope this helps :)

The quantity of strawberries and lemons Mandissa will use is 1 ⅛ cups and 4 cups respectively.

If Katelynn uses 3/4 cup of strawberries, Mandissa will use times as many strawberries, which is 2 1/4 times as much. To find out how much that is, we multiply:

Mandissa:

lemons = 2/3 of 6= 2/3 × 6= 12/3= 4

Strawberry = 1.5 × 3/4= 4.5/4= 1 1/8

Katelyn: 3/4 uses cup of strawberries6 lemons

Ultimately, Mandissa used is 1 ⅛ cups of strawberries and 4 cups of lemons.

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Answer:

168

Step-by-step explanation:

24x7=168

Answer:

In total, the amount of milk every kid combined drank is 672 ounces.

Step-by-step explanation:

If four kids drank 24 ounces of milk for seven days, you would solve it as follows:

First, the amount all the kids drink in one day combined is 96 ounces.

If they drink 96 per day, and they do so for a week (7 days), then that is 96 × 7 because its 96 seven times.

7 × 96 = 672

Answer:

x = +4 , -4

Step-by-step explanation:

    x² - 16 = 0

           x² = 16

           \(\sf x = \sqrt{16}\\\\x = \sqrt{4*4}\\\\\)

          x = ±4

Answer:

12.

Female: 7.65

Male: 9.25

13.

Female: 8.26

Male: 9.2

Step-by-step explanation:

For 12, write out all of the numbers in numerical order. Then find whichever number in the middle. In this case, it is two numbers (7.5 and 7.8) and (9.2 and 9.3). Add them up and divide. That will get you your median. 7.65 and 9.25.

For 13, add up all of the numbers and divide by how many there are (in this case 10). That will give you your mean. 8.26 and 9.2.

Hope this helps. Sorry if I'm wrong.

Answer: y = 10(x) + 56

Step-by-step explanation:

y=10(4) + 56

y = 40 + 56

y = 96

Answer:

1a. y = 10 x + 16

1b. 16

2a. y = 600x + 1500

2b. $8700

Step-by-step explanation:

1a. A linear model represents a relationship between two variables as a straight line. In this case, we want to represent the relationship between the number of hours a canoe is rented for and the total cost of the rental, including the deposit.

We can create a linear model by using the equation y = mx + b, where y is the total cost, x is the number of hours the canoe is rented for, m is the slope of the line (the rate at which the cost changes per hour), and b is the y-intercept (the total cost when x is 0).

Since the total cost includes a non-refundable deposit, we need to add this to the y-intercept. The deposit is not dependent on the number of hours the canoe is rented for, so it is not represented in the slope.

Based on the information given, the total cost is $56 when the canoe is rented for 4 hours, and the rental fee is $10 per hour. We can use these values to solve for the y-intercept and the slope:

y = mx + b

56 = (10) (4) + b

56 = 40 + b

b = 56 - 40

b = 16

So the linear model representing the relationship between the number of hours a canoe is rented for and the total cost of the rental, including the deposit, is: y = 10 x + 16

1b. We know that the total cost is $56 when the canoe is rented for 4 hours, and the rental fee is $10 per hour. We can use these values to solve for the y-intercept, which represents the non-refundable deposit:

y = (10) (4) + b

56 = 40 + b

b = 56 - 40

b = 16

So the non-refundable deposit is $16. This means that the total cost of the rental, including the deposit and the hourly fee, is $56.

2a. We can create a linear model by using the equation y = mx + b, where y is the total cost, x is the number of solar heaters produced, m is the slope of the line (the rate at which the cost changes per heater), and b is the y-intercept (the total cost when x is 0).

Based on the information given, it costs $7500 to produce 10 solar heaters, and it costs $13,500 to produce 20 solar heaters. We can use these values to solve for the y-intercept and the slope:

y = mx + b

7500 = m(10) + b

13500 = m(20) + b

Subtracting the second equation from the first equation gives:

-6000 = m(10) - m(20)

6000 = m(20) - m(10)

6000 = m(20 - 10)

6000 = m(10)

m = 6000/10

m = 600

Substituting this value for m in either of the original equations and solving for b gives:

7500 = (600)(10) + b

7500 = 6000 + b

b = 7500 - 6000

b = 1500

So the linear model representing the relationship between the number of solar heaters produced and the total cost of production is:

y = (600) x + 1500

According to this model, the total cost of producing 15 solar heaters would be $10,500.

2b. To find the total cost of producing 12 solar heaters, we can use the linear model that represents the relationship between the number of solar heaters produced and the total cost of production:

y = (600) x + 1500

Where y is the total cost, x is the number of solar heaters produced, m is the slope of the line (the rate at which the cost changes per heater), and b is the y-intercept (the total cost when x is 0).

To predict the total cost of producing 12 solar heaters, we can substitute 12 for x in the equation:

y = (600) (12) + 1500

y = 7200 + 1500

y = 8700

According to this model, the total cost of producing 12 solar heaters would be $8700.

The mobile phone is offered at Rs. 12,000 on Website A and is available at check out at a fraction of 4/50 of its original price.

a) The mobile phone is available at 4/5 of its marked price on Website A. Let's calculate the price:

Price on Website A = (4/5) * Rs. 15,000 = Rs. 12,000

b) Website A gives an additional discount equivalent to 1/10 of the phone price at check out. Let's calculate the discount amount:

Discount amount = (1/10) * Rs. 12,000 = Rs. 1,200

The phone is available at a discount of Rs. 1,200 at check out on Website A. To find the fraction of the original price, we divide the discount amount by the original price:

Fraction of the original price = Discount amount / Original price = Rs. 1,200 / Rs. 15,000

Simplifying this fraction, we get:

Fraction of the original price = 1/12.5 = 4/50

Therefore, the phone is available at check out on Website A at a fraction of 4/50 of its original price.

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If Flyer Co. buys back 5102 shares of their $3 par value common stock for $17 per share. The amount debited to the treasury stock account to record the purchase would be $ 86,834.

To calculate the amount debited to the treasury stock account, we need to multiply the number of shares bought back by the price per share.

In this case, Flyer Co. buys back 5102 shares at $17 per share.

The amount debited to the treasury stock account is calculated as follows:

Amount = Number of shares bought back * Price per share

Amount = 5102 * $17

Amount = $86,834

Therefore, the amount debited to the treasury stock account to record the purchase would be $86,834.

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Answer:

I think B.

Step-by-step explanation:

\((\stackrel{x_1}{-3}~,~\stackrel{y_1}{2})\hspace{10em} \stackrel{slope}{m} ~=~ 4 \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{2}=\stackrel{m}{ 4}(x-\stackrel{x_1}{(-3)}) \implies y -2= 4 (x +3)\)

\(y-2=4x+12\implies y=4x+\underset{ \stackrel{\uparrow }{b} }{14}\impliedby \begin{array}{|c|ll} \cline{1-1} slope-intercept~form\\ \cline{1-1} \\ y=\underset{y-intercept}{\stackrel{slope\qquad }{\stackrel{\downarrow }{m}x+\underset{\uparrow }{b}}} \\\\ \cline{1-1} \end{array}\)

Answer:

for first:

<D=<B(corresponding angle)

<E=<C(corresponding angle)

<A=<A(common angle)

so

∆AED~ ∆ACB by A.A.A. axiom

is your answer

other are CONGRUENT TRAINGLE.

Answer:

the Fourier transform of 1/(1+x^2) is F(k) = sqrt(pi/2) * (e^(-k) - e^(k)).

Step-by-step explanation:

The Fourier transform of a function f(x) is defined as:

F(k) = (1/sqrt(2*pi)) * integral from -infinity to infinity of f(x) * e^(-ikx) dx

In this case, we want to find the Fourier transform of f(x) = 1/(1+x^2):

F(k) = (1/sqrt(2*pi)) * integral from -infinity to infinity of 1/(1+x^2) * e^(-ikx) dx

We can evaluate this integral using complex analysis techniques. One way is to use the residue theorem and evaluate the residues of the integrand at the poles of 1/(1+x^2). The poles of this function are at x = i and x = -i.

Using the residue theorem, we can write:

F(k) = 2pii * Res(f(x)e^(-ikx), x=i) + 2pi*i * Res(f(x)*e^(-ikx), x=-i)

The residues at x = i and x = -i are:

Res(f(x)*e^(-ikx), x=i) = lim(x->i) [(x-i)*f(x)*e^(-ikx)]

= 1/(2i) * e^(-k)

Res(f(x)*e^(-ikx), x=-i) = lim(x->-i) [(x+i)*f(x)*e^(-ikx)]

= -1/(2i) * e^(k)

Substituting these into the formula for F(k), we get:

F(k) = pi * (e^(-k) - e^(k))/(sqrt(2*pi))

Simplifying this expression, we get:

F(k) = sqrt(pi/2) * (e^(-k) - e^(k))

Answer, population: 359 million

Answer:

Step-by-step explanation:

It went up 98 ten-tousandth, from 1950 to 1990 divide 2030, by 1990 and then multiply that answer by 98 ten-tousandth

Answer:

sine (78°) = 714 / side c

side c = 714 / sine (78°)

side c = 714 /  0.97815

side c = 729.95

Step-by-step explanation:

Answer:

In terms of x, the smaller integer is (x - 1)/2

Step-by-step explanation:

Two consecutive positive integers can be written as:

n and (n + 1)

Where n is an integer and:

n > 0.

notice that the smaller of the two integers is n.

We know that the sum of these two integers is equal to x, then:

n + (n + 1) = x

we can rewrite this as:

2n + 1 = x

solving this for n (the smaller of the two integers) we get:

2n = x - 1

n = (x - 1)/2

In terms of x, the smaller integer is (x - 1)/2

Answer:

Step-by-step explanation:

3x + -3x - 4y = 8 - 3x

-4y = 8 - 3x

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

        -4

y = 8/-4 + 3/4 x

y = -2 + 3/4x

Answer:

y= -x+ -8/3

Step-by-step explanation:

Let's solve for y.

Step 1: Add 3x to both sides.

Step 2: Divide both sides by -3.