What is 2.08 • 107 written in standard notation?

Answer:A.The triangles are similar but not congruent

Step-by-step explanation:

In a congruent traingle:

the both triangles are same in shape and size

There are five theorems to see if the triangles are congruent

and neither particularly applies here

sss: the sides are not equal

as none of the sides are equal, then despite the angles, congruence is not possible

However it is evident that one of the triangles is proportionally bigger than the other but similar. Hence A is correct.

Step-by-step explanation:

After answering the provided question, we can conclude that The slope answer is not listed as a choice, but this is the correct equation.

In mathematics, slope is the slope of the regression of a line or curve. It is a measure of the degree to which a function's y-value varies once the x-value changes. A line's slope is usually expressed as a letter m and is able to be calculated as follows: m = (y2 - y1) / (x2 - x1) (x1, y1) and (x2, y2) is some two important points on the line. The slope of a line can be favorable, negative, equal to 0, or unknown. A positive slope means the line rises up from left to right, whereas a slope means the line falls back from left to right.

To find the equation of the line passing through the point (4,-5) with slope 2, we can use the point-slope form of the equation of a line.

y - y1 = m(x - x1)

y - (-5) = 2(x - 4)

y + 5 = 2x - 8

y = 2x - 13

y = 2x - 13

The answer is not listed as a choice, but this is the correct equation.

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A figure will be mapped into itself after a reflection if the midpoint of the figure is along x = 1.

From the given figure, the midpoints of figures a and b are along with x = 1. So when, being reflected across the line of x = 1, it will only be mapped to itself, it won't duplicate.

Therefore, the answer is a and b.

Since y is directly proportional to x and y = 5 when x = 4, the value of y is equal to 10.

In Mathematics, a direct variation can be modeled by this mathematical expression:

y = kx

Where:

Based on the information provided above, we would determine the constant of proportionality (k) by substituting the value of the given variable as follows:

k = y/x

k = 5/4

Now, we can determine the value of y:

y = kx

y = 5/4 × 8

y = 10.

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Algorithm 2 is more efficient than Algorithm 1 because it only needs to loop through the numbers up to upper/11 instead of upper. This means that it will take fewer iterations to reach the result, making it more efficient than Algorithm 1.

Algorithm 1 will make upper/11 more checks than Algorithm 2, resulting in a slower runtime. Additionally, Algorithm 2 avoids the need to check the modulus of each number, further reducing the computation time. Algorithm 2 only needs to loop through the multiples of 11, which are always 11 apart from each other, so it can skip over the other numbers between them.

This makes Algorithm 2 much faster than Algorithm 1 because it is only looping through a fraction of the numbers.

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Answer:

Step-by-step explanation:

8) a) In a parallelogram, opposite sides are equal and parallel.

               BC = AD

         12x - 1 = x  + 21

         12x      = x + 21  + 1

              12x = x + 22

         12x - x = 22

                11x = 22

                  x = 22 ÷ 11

                 x = 2

AD = x + 21

     = 2 + 21

AD = 23

In a parallelogram, adjacent angles are supplementary.

   ∠A + ∠D = 180°

\(\sf y - 9 + \dfrac{y}{2}=180\\\\ \dfrac{2y}{2}+\dfrac{y}{2}=180+9\\\\\)

        \(\dfrac{3y}{2}=189\\\\y =189*\dfrac{2}{3}\\\\y=63*2\\\\y = 126\)

∠D = 126 ÷2

     = 63

In parallelogram, opposite angles are congruent.

 ∠B = ∠D

   ∠B = 63°

Answer:

The answer to your question is...the first option; Infinitely many solutions

Hope this helped!

Answer:

Option 2:  –2 < x < 2

Step-by-step explanation:

I'm at the same school as you and I got it correct on the self check

The solution to the equation x3 + 2x - 16 = 16 x2 + 16 is approximately x = -2.4 and x = 4.4 when using the intersection of two graphs method.

To use the method of the intersection of two graphs to find the solution of the equation x^3 + 2x - 16 = 16 x^2 + 16, we first need to graph both equations on the same coordinate system. Then, we can look for the points where the two graphs intersect, which will correspond to the solutions of the equation.

First, let's rearrange the equation into the form f(x) = g(x), where f(x) = x^3 + 2x - 16 and g(x) = 16x^2 + 16. This gives:

x^3 + 2x - 16 = 16x^2 + 16

or

x^3 - 16x^2 + 2x - 32 = 0

We can see that the two graphs intersect at two points, which correspond to the solutions of the equation. Using the graph, we can estimate the solutions to be approximately x = -2.4 and x = 4.4.

To get a more precise estimate of the solutions, we can use numerical methods such as Newton's method or bisection method. Alternatively, we can use algebraic methods such as factoring or the rational root theorem to find the exact solutions.

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By using trigonometric relations, we will see that the angle that the ladder makes with the ground is 64.2°, so we conclude that the ladder is safe.

Notice that the ladder makes a right triangle with the wall.

Such that the hypotenuse (the ladder itself) measures 15 ft, and one of the catheti (distance between the ground and top of the ladder) measures 13.5ft

If we considerate the angle that the ladder makes with the ground, the known cathetus is the opposite cathetus.

Then we can use the relation:

sin(x) = (opposite cathetus)/(hypotenuse)

Then:

sin(x) = (13.5ft)/(15ft)

If we use the inverse sine function on both sides, we get:

Asin(sin(x)) = Asin( 13.5ft/15ft)

x = Asin(13.5/15) = 64.2°

So the angle is less than 75°, which means that in fact, the ladder is safe.

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The reasonable domain for the function is (b) x > 0

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

The function f(x) = 75x + 100

Where x is the number of hours

f(x) is the total cost.

In this case, the number of hours cannot be negative or 0

This means that the values of x in the function would be x > 0

These values of x are the domain

So, the reasonable domain for the function os (b) x > 0

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Jordan spend 25 minutes writing each dayNoHow much time does Jordan spend writing each dayFrom the question, we have the following parameters that can be used in our computation:D + W = 75W + 25 = DSo, we haveW + W + 25 = 75EvaluateW = 25This means that Jordan spends 25 minutes on writing is it possible?Based on the answer in (a), the truth statement is No

The number of students that scored a 77 on the test in the histogram D. Cannot be determined.

It should be noted that a histogram is simply used to review and provide a visual analysis of data.

In this case, the number of students that scored a 77 on the test cannot be determined.

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Answer:

a. x² - 3x - 8 = 0

Explanation:

The quadratic formula is used to solve equations of the form

ax² + bx + c = 0

Where a, b, and c, are constants.

So, the equation with this form is

a. x² - 3x - 8 = 0

Where a = 1, b = -3 and c = -8.

Therefore, the answer is

a. x² - 3x - 8 = 0

Answer:

Hi, there your answer will 12

2+7+3=12

Have a nice day

Step-by-step explanation:

Answer:

Step-by-step explanation:

I added it up XD Thanks for the points.

a.) The value of pulses exported by US in billion would be=30 billion.

b.) The ratio of wheat export of UK to maize export of IND would be= 6:5

For question a.)

To calculate the pulses, the following steps should be taken as follows:

From the bar chart, the value of pulses in billions = 30 billions.

For question b.)

The ratio of wheat export at UK and maize export at IND would be calculated as follows:

The quantity of wheat export at UK = 24

The quantity of maize export at IND = 20

Therefore, the ratio of wheat to maize = 24:20= 6:5

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The coordinate of point P such that the ratio is 4;1 is (14/5, 2/5)

The formula for finding the midpoint of a line in the ratio m:n is expressed as:

P(x, y) = {(mx₁+nx₂)/m+n, (my₁+ny₂)/m+n,}

Given the coordinate of A and B on the line as A(7, 3) and B(3, -10). If point A weighs four times as much as point B, then the required ratio is 4:1

Substitute

P(x, y) = {(4(7)+1(3))/5, (4(3)+1(-10))/5,}

P(x, y) = (11+3/5, 12-10/5)

P(x, y) = (14/5, 2/5)

Hence the coordinate of point P such that the ratio is 4;1 is (14/5, 2/5)

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Answer:

4

Step-by-step explanation:

10 walls that are each 100sqfeet totals to 1000sqfeet. 1000/250 is equal to 4 cans.

Answer:

Solution:

We know that:

Solution:

Hence, 4 cans are required to paint the apartment.

Answer:

what passes through those points and what do yoy need to know about them?

The value of x is 24 and different angles of hexagon will be -

A = 160

B = 142

C = 120

D = 156

E = 31

F = 111

An angle is a geometric shape that is defined as the amount of rotation that occurs between two straight lines or planes. Angles are measured in degrees, with 360° representing a full circle.

We need to apply the inverse tangent function to determine the angle at which the sun strikes the flagpole. We are aware that the triangle's adjacent side is 42 feet long and its opposite side is 25 feet tall (the height of the flagpole) (the length of the shadow).

Given the figure is hexagon,

the sum of angles of a hexagon is 720,

Upon adding the given angles,

mA = (7x-8)°

mB (4x+46)°

mC = (5x)

mD = (6x+12)°

mE = (x+7)°

mF = (5x-9)°

⇒ 7x - 8 + 4x + 46 + 5x + 6x + 12 + x + 7 + 5x - 9 = 720

⇒ 28x + 48 = 720

⇒ 28x = 672

⇒ x = 24

Therefore, the angles will be -

A = 160

B = 142

C = 120

D = 156

E = 31

F = 111

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The correct statement is; Pentagon M’N’P’Q’R is smaller than pentagon MNPQR because the scale factor is smaller than 1.

The ratio between comparable measurements of an item and a representation of that thing is known as a scale factor in arithmetic.

If a polygon is dilated by a scale factor = k

Rule to be followed as;

(x, y) → (kx, ky)

Here, k = Scale factor

If 0 < k < 1, size of the image will be reduced.

Similarly, k > 1, size of the image will be enlarged.

We are given that Pentagon MNPQR is dilated with the origin as the center of dilation to form an image M'N'P'Q'R'.

Rule used for the transformation,

(x, y) → (1/4x, 1/4y)

Here, the scale factor through which MNPQR has been dilated is 1/4.

Since, scale factor is between zero and 1/4, size of M'N'P'Q'R' will be reduced.

Therefore, the size of pentagon M'N'P'Q'R' will be 1/4 smaller than pentagon MNPQR.

Option (2) is the answer.

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The complete question is: Pentagon MNPQR is shown on the coordinate grid. Pentagon MNPQR is dilated with the origin as the center of dilation using the rule (x, y)→(1/4x, 1/4y) to create pentagon M'N'P'Q'R'.

Which statement is true?

a. Pentagon M'N'P'Q'R' is larger than pentagon MNPQR, because the scale factor is greater than 1.

b. Pentagon M'N'P'Q'R' is smaller than pentagon MNPQR, because the scale factor is less than 1.

c. Pentagon M'N'P'Q'R' is larger than pentagon MNPQR, because the scale factor is less than 1.

d. Pentagon M'N'P'Q'R' is smaller than pentagon MNPQR, because the scale factor is greater than 1.

Answer:

40

Step-by-step explanation:

plugging in a and b will get us:

\(2^{2} + 6^{2} = c^{2}\)

4 + 36 = \(c^{2}\)

40 = \(c^{2}\)

c= \(\sqrt{40\\\)

Answer:

NO because

Step-by-step explanation:

1/2+1/2+1/4=1 1/4

1/2=25min

25+25+12.5=62.5

It would take 62.5 min to do 1 1/4 acres

Answer:

Juan invested $ 11,800 in Fund A and $ 7,200 in Fund B.

Step-by-step explanation:

Given that Juan invested $ 19000 in two mutual funds, and Fund A earned 7% profit during the first year, while Fund B earned 3% interest, if he received a total of $ 1042 profit, to determine how much she had invested in each mutual fund the following calculation must be performed:

19000 x 0.07 + 0 x 0.03 = 1330

15000 x 0.07 + 4000 x 0.03 = 1170

11000 x 0.07 + 8000 x 0.03 = 1010

11500 x 0.07 + 7500 x 0.03 = 1030

11800 x 0.07 + 7200 x 0.03 = 1042

Therefore, Juan invested $ 11,800 in Fund A and $ 7,200 in Fund B.

Answer:

−3/2

Step-by-step explanation:

Hope this helps

:D

We have a solution set that is r={9,10,11...}

This are all values for r that are strictly greater than 8.

So this solution set correspond to the inequality r>8.

Answer: r>8

Total amount of money in the account will be $456.

Simple interest is an interest charge that borrowers pay lenders for a loan. It is calculated using the principal only and does not include compounding interest.

The formula for simple interest is: Simple Interest = Principal × Rate × Time

Principal (P) is $300

Rate (R) is 6.5%

Time (T) is 8 years.

Simple Interest = $300 × 0.065 × 8

Simple Interest = $156

Total Amount = Principal + Simple Interest

Total Amount = $300 + $156

Total Amount = $456.

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The difference in speed between Explorer B and Explorer A is 600 miles per hour.

In order to determine how fast the satellites are travelling, the average speed of the satellites have to be calculated. Average speed is the total distance covered per time.

Average speed = total distance / total time

Average speed of Space Explorer B = 74,400 / 12 = 6,200 miles per hour

Average speed of Space Explorer A = 72,800 / 13 = 5,600 miles per hour

Difference in speed = 6,200 miles per hour - 5,600 miles per hour = 600 miles per hour.

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Answer:

Step-by-step explanation:

Point: 10,-9

k=-2

y=-2x+b

So: 9, -7

8,-5

7,-3

6,-1

5,1

4,3

3,5

2,7

1,9

0,11

y=-2x+11

Answer:

y + 9 = - 2(x - 10)

Step-by-step explanation:

the equation of a line in point- slope form is

y - b = m(x - a)

where m is the slope and (a, b ) a point on the line

here m = - 2 and (a, b ) = (10, - 9 ) , then

y - (- 9) = - 2(x - 10) , that is

y + 9 = - 2(x - 10)

Answer:

Choice C. ones

Explanation:

The place value of the numbers is given a below

Answer:

k = a^2 + b^2/ ab + 1

Step-by-step explanation:

Answer:25

Step-by-step explanation: