Drag the cards to create a number that matches these rules.
. The number ends in the thousandths place.
2 is the nearest one when rounding
.
A 2 is in the thousandths place
.
1 1 2.2

The measure of angle RIA is 55 degrees, option A is correct.

A coordinate geometry is a branch of geometry where the position of the points on the plane is defined with the help of an ordered pair of numbers also known as coordinates.

We have to find the measure of angle RIA

The opposite angle of RIA is LIK

Let us find the measure of LIK

∠FIL+∠LIK+∠KIN=180

30+∠LIK+95=180

∠LIK + 125 =180

Subtract 125 from both sides

∠LIK = 180 - 125

=55 degrees

∠LIK is equal to ∠RIA

∠RIA = 55 degrees

Hence, the measure of angle RIA is 55 degrees, option A is correct.

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9514 1404 393

Answer:

  y = 3x -8

Step-by-step explanation:

The point-slope form of the equation of a line can be a useful place to start.

  y -k = m(x -h) . . . . . line with slope m through point (h, k)

  y +20 = 3(x +4) . . . . with given numbers filled in

  y = 3x +12 -20 . . . . eliminate parentheses, subtract 20

  y = 3x -8 . . . . . . . . slope-intercept form

The perimeter of the given window is 48 centimeter.

From the given figure,

Perimeter of window = 2(Length+Breadth)

= 2(10+14)

= 2×24

= 48 centimeter

Perimeter of house = 2(Length+Breadth)

= 2(37+35)

= 2×72

= 144 centimeter

Perimeter of roof = 2(Length+Breadth)

= 2(37+5)

= 2×42

= 84 centimeter

Therefore, the perimeter of the given window is 48 centimeter.

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Answer:

Souta made his first error in Step 3, where he found the differences between each score and the mean. He did not find the absolute values of these differences, which means he did not calculate the mean absolute deviation correctly.

Answer:

Step-by-step explanation:

\(y=(\frac{1}{g} )x\)

Constant up a proportionally is  \(\frac{1}{g}\).

The proposition "for all real numbers a and b, 2 · a · b = a² + b²" is false, as it is not valid for real numbers such that a ≠ b.

According to this question, we must infer on the nature of the sets related to the real numbers a and b contained in the algebraic expression 2 · a · b = a² + b². Then, we simplify the expression by algebraic handling:

2 · a · b = a² + b²                            Given

a² - 2 · a · b + b² = 0                      Compatibility with addition / Existence of additive inverse / Modulative property

(a - b)² = 0                                      Perfect square binomial

± (a - b) = 0                                     Square root

± a = ± b                                         Compatibility with addition / Existence of additive inverse / Modulative property  

The algebraic expression is only valid when a = b, such that the equality is guaranteed. Hence, the expression is not valid for a ≠ b and the proposition is false.

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Answer:

See below

Step-by-step explanation:

Starting with 42, there would be two branches of 2 and 21 connected to 42. Since 2 is prime, there are no more branches. Since 21 is composite, then two more branches are drawn of 3 and 7 connected to 21. Since 3 and 7 are prime, there are no more branches.

Therefore, the prime factorization of 42 is 2*3*7, and its factors would be 1,2,3,6,7,14,21,42.

The length of the real life plane is 8000 centimetres.

The scale model as a ratio is  1:2000.

A model of a plane has a length of  4 cm. The real life plane has a model of 80 m.

The length of the real life plane in centimetres is as follows:

1 metre = 100 centimetres

80 metres = ?

cross multiply

length of the real life plane in cm = 80 × 100

length of the real life plane in cm = 8000 centimetres

The scale model can be calculated as follows;

scale model = 4 / 8000

scale model = 1 / 2000 = 1:2000

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Answer:

Step-by-step explanation:

volume of cone=1/3 πr²h

=1/3×π×5²×11

=275/3 ×3.14

≈287.33 in³

Answer:

34+a = 90

a = 90-34

a = 56

Answer:

56°

Step-by-step explanation:

a = 90° - 34° = 56°

The length of side AD is,

⇒ AD = 16

We have to given that;

The given figure is a right triangular prism.

In the prism:

• DF = 22 in.

• EG = 11 in.

• Volume of the prism = 1936 cubic in.

Since, Volume of right triangular prism is,

V = 1/2 (bh) x L

Substitute all the values we get;

V = 1/2 (22 × 11) × AD

1936 = 121 × AD

AD = 16

Thus, The length of side AD is, 16

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Answer:

C. (3,1) (2,4)

see attached

Answer:

50.24=4squared times pie

Step-by-step explanation:

Answer:

The area of a circle with a diameter of 0.8 meters is approximately 0.50 \(m^2\).

Step-by-step explanation:

Since the diameter of the circle is 0.8 meters, that means the radius of the circle would be 0.4 meters. The area of a circle can be found by the formula \(\pi r^2\), where \(r\) represents the radius of the circle. In this case, the area would be \(0.4^2*\pi\) = \(0.16 * \pi\) ≈ 0.50 \(m^2\).

Answer:

160

Step-by-step explanation:

Using Exterior angle theorem

30+130=160

Answer:

The 99 % confidence interval on the basis of mean is ( 21.7393  ;   22.0257)

Step-by-step explanation:

Mean = Sum of observations / Number of observations

Mean = 21.88 +21.76 +22.14 +21.63+ 21.81 +22.12+ 21.97+ 21.57+ 21.75+ 21.96 +22.20 +21.80/ 12

Mean =x`= 262.59/12=  21.8825

Standard Deviation = s= ∑x²/n - ( ∑x/n)²

∑x²/n= 478.7344 +473.4976 + 490.1796+467.8569+ 475.6761 + 489.2944+ 482.6809+ 465.2649+ 473.0625+ 482.2416 +492.84 + 475.24/ 12

∑x²/n= 5746.5689/12= 478.8807 = 478.881

Standard Deviation = s= ∑x²/n - ( ∑x/n)²

s= 478.881- (21.8825)²= 478.881-478.843= 0.037

The confidence limit 99% for the mean will be determined by

x` ± α(100-1) √s/n

Putting the values in the above equation

= 21.8825 ± 2.58 √0.037/12

Solving the square root

= 21.8825 ± 2.58 (0.05549)

Multiplying the square root with 2.58

=21.8825 ± 0.1432

Adding and subtracting would give

21.7393  ;   22.0257,

Hence the 99 % confidence interval on the basis of mean is ( 21.7393  ;   22.0257)

The he expected value of the raffle is $2.50

What is the expected value of a raffle ticket?

The expected value is the sum of the winnings multiplied by their probabilities of persons participating

One person out of 400 would win $300, we have 1/400*$300

2 persons would win $200 each out of 400, we have 2/400*$200

3 persons would win $100, we have 3/400*$100

expected value=( 1/400*$300)+(2/400*$200)+(3/400*$100)

expected value=$2.50

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Answer:

The expected value of the raffle is -$1.50.

Step-by-step explanation:

Answer:

d

Step-by-step explanation:

Answer:

675 = variable expenses

Step-by-step explanation:

Take the total expenses and subtract the fixed expenses to find the variable expenses

1425-750 = variable expenses

675 = variable expenses

Answer:

Step-byHow do I calculate the mean?

The mean can be calculated only for numeric variables, no matter if they are discrete or continuous. It's obtained by simply dividing the sum of all values in a data set by the number of value

-step explanation:

46+57+66+63+49+52+61+68= 462/8 the total number of observation

the answer 57

The correct statements are;

The x-intercept of f(x) and the y-intercept of f–1(x) are reciprocals of each other.

The point of intersection of the two functions indicates that the functions are inverses.

Option C and D

To accurately compare a function and its inverse based on the graphs, we have to know the following;

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She save on the sweater 32.07 $

Answer:

$32.07

Step-by-step explanation:

Since you just need to find how much Stephanie is saving on the sweater, you just need to find the difference of the sweater's original price and the sweater's discounted price to get the final answer

$44.95-$12.88=$32.07

Hope this helped! Have a nice day ahead. If you do not understand, comment below, and I can explain in another way

Answer:

55

Step-by-step explanation:

plug in the numbers to the equation

7(5)+5(4)=55

Answer:

V=100ft³

Step-by-step explanation:

Answer:

(2.4, -1.2)

Step-by-step explanation:

Answer:

1: (2.4,-1.2)

Step-by-step explanation:

Answer:

they have the same perimeter.

Step-by-step explanation:

3in × 4 = 12in

4 in × 3 = 12in

Answer:

\(\dfrac{5e^2}{2}\)

Step-by-step explanation:

Differentiation is an algebraic process that finds the slope of a curve. At a point, the slope of a curve is the same as the slope of the tangent line to the curve at that point. Therefore, to find the slope of the line tangent to the given function, differentiate the given function.

Given function:

\(y=x^2\ln(2x)\)

Differentiate the given function using the product rule.

\(\boxed{\begin{minipage}{5.5 cm}\underline{Product Rule for Differentiation}\\\\If $y=uv$ then:\\\\$\dfrac{\text{d}y}{\text{d}x}=u\dfrac{\text{d}v}{\text{d}x}+v\dfrac{\text{d}u}{\text{d}x}$\\\end{minipage}}\)

\(\textsf{Let\;$u=x^2}\)\(\textsf{Let\;$u=x^2$}\implies \dfrac{\text{d}u}{\text{d}x}=2x\)

\(\textsf{Let\;$v=\ln(2x)$}\implies \dfrac{\text{d}v}{\text{d}x}=\dfrac{2}{2x}=\dfrac{1}{x}\)

Input the values into the product rule to differentiate the function:

\(\begin{aligned}\dfrac{\text{d}y}{\text{d}x}&=u\dfrac{\text{d}v}{\text{d}x}+v\dfrac{\text{d}u}{\text{d}x}\\\\&=x^2 \cdot \dfrac{1}{x}+\ln(2x) \cdot 2x\\\\&=x+2x\ln(2x)\end{aligned}\)

To find the slope of the tangent line at x = e²/2, substitute x = e²/2 into the differentiated function:

\(\begin{aligned}x=\dfrac{e^2}{2}\implies \dfrac{\text{d}y}{\text{d}x}&=\dfrac{e^2}{2}+2\left(\dfrac{e^2}{2}\right)\ln\left(2 \cdot \dfrac{e^2}{2}\right)\\\\&=\dfrac{e^2}{2}+e^2\ln\left(e^2\right)\\\\&=\dfrac{e^2}{2}+2e^2\\\\&=\dfrac{5e^2}{2}\end{aligned}\)

Therefore, the slope of the line tangent to the graph of y = x²ln(2x) at the point where x = e²/2 is:

\(\boxed{\dfrac{5e^2}{2}}\)

Answer:

(f - g)(x) = -7x - 3

Step-by-step explanation:

Step 1: Define

f(x) = -3x - 5

g(x) = 4x - 2

Step 2: Find (f - g)(x)

(f - g)(x) = -3x - 5 - (4x - 2)

(f - g)(x) = -3x - 5 - 4x + 2

(f - g)(x) = -7x - 3

Answer:

5.004493

Step-by-step explanation:

Answer:

2.27 kg is about 5 pounds.

Step-by-step explanation:

1 kilogram = 2.2 pounds

So, we have to multiply 2.2 by the amount of kilograms, which in this case, is 2.27.

2.27 x 2.2 = 4.994 or 5 when rounded to the nearest whole number.

Therefore, 2.27 kg = 5 lbs

Hope this helps! :)

The annual interest rate is 7.5%.

What is Simple interest?

Simple interest is a type of interest that is calculated on the principal amount (or the initial amount) of a loan or investment, without taking into account any accumulated interest from previous periods.

The formula for simple interest is:

I = P × r × t

where I is the interest earned, P is the principal (initial amount), r is the annual interest rate as a decimal, and t is the time in years.

In this case, we know I = $562.50, P = $1500, and t = 5 years.

we ca substitute values into the formula,

562.50 = 1500× r ×5

Simplifying, we get:

r = 562.50 / (1500 ×5)

r = 0.075

r = 7.5%

Therefore, the annual interest rate is 7.5%.

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