Question 12 pts
The measurement, 206 cm, has how many significant (measured) digits?

Group of answer choices

2

1

3

5

Answer:

B 13m+8

Step-by-step explanation:

(20m+3) - (7m-5)

20m+3-7m+5

13m+8

Answer:

85pi

Step-by-step explanation:

just do (4^3 x 4/3) and add pi to the end since its in terms of pi

Answer:

A = 46000(1.05)3

Step-by-step explanation:

You are offered a job that pays ​$49,000 during the first​ year, with an annual increase of 7​% per year beginning in the second year. That​ is, beginning in year​ 2, your salary will be 1.07 times what it was in the previous year. What can you expect to earn in your fourth year on the​ job? Round your answer to the nearest dollar?

kmartinez2849, this is the solution:

Let's recall that:

1 inch/second = 5 feet/minute

Thus:

12 inch/second = 5 * 12 feet/minute

12 inch/second = 60 feet/minute

Let's recall that:

1 feet = 12 inches

1 minute = 60 seconds

Therefore:

1 inch/second * 60 = 60 inches/minute

Converting inches to feet

60 inches = 5 feet

In conclusion, 5 feet/minute

The measure of the complement of a 1-degree angle is 89 degrees.

The complement of an angle is defined as the angle that, when added to the given angle, results in a sum of 90 degrees. To find the measure of the complement of a 1-degree angle, we need to determine the angle that, when added to 1 degree, equals 90 degrees.

Let's denote the measure of the complement as x degrees. According to the definition, we can set up the equation:

1 degree + x degrees = 90 degrees.

To solve for x, we need to isolate it on one side of the equation. By subtracting 1 degree from both sides, we have:

x degrees = 90 degrees - 1 degree.

Simplifying the right side, we get:

x degrees = 89 degrees.

In summary, when an angle measures 1 degree, its complement measures 89 degrees. Complementary angles are pairs of angles that add up to 90 degrees. In this case, since the given angle measures only 1 degree, its complement is significantly larger, nearly forming a right angle. The concept of complementary angles is fundamental in geometry and can be applied to various problems involving angles and their relationships.

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Answer: 70cm³

EXPLANATION:

1/2 x base x height x 2 (this is to find the surface area of one of the triangular faces since the other side of the triangular shape has the same measurements you should multiply it by 2 straight away since it makes it easier for you)

1/2 x base x height x 2

1/2 x 3 x 3 x 2 ← (to get the height of the triangle substract 7 from 10)

1/2 x 18 ← (multiply 3x3x2=18)

9cm³  ←(since 18 is 2x9 your answer is 9cm³)

1/2 x base x height x 2 (this is to find the surface area of the other triangular face with different measurements and since the other side of the triangular shape has the same measurements you should multiply it by 2 straight away since it makes it easier for you)

1/2 x base x height x 2

1/2 x 4 x 3 x 2 ← (to get the height of the triangle substract 7 from 10)

1/2 x 24 ← (multiply 4x3x2=24)

12cm³  ←(since 24 is 2x12 so your answer is 12cm³)

Then next you have to find the surface area of one face of the rectangle and multiply it by 2 since the back side of the rectangle has the exact same measurements. The formula to find the area of a rectangle is area= length x breath

A= 3x7= 21cm³

then find the area of the other rectangular face with different measurements and multiply it by 2 since the back side of the rectangle has the exact same measurements. The formula to find the area of a rectangle is area= length x breath

A= 4x7= 28cm³

FINALLY

add all the areas of the faces you have found and you'll get the total surface area!

9+12+21+28=70cm³

Thank you! I hope you understood something and I hope you have a great day! good luck!

Answer:

a. Maurice walked farther.

b. 0.62 m

Step-by-step explanation:

Maurice

4.1 × 1.8 = 7.38 miles

Junnie

2.5 × 3.2 = 8 miles

This shows that Junnie walked more than Maurice.

8 - 7.38 = 0.62

Junnie walked 0.62 m more than Maurice

Answer:

73°

Step-by-step explanation:

This equation uses two supplementary angles. Supplementary angles are two angles that add up to 180 degrees.

The triangle has two angles implied, 30 degrees and (180-137) degrees.

(180 - 137) = 43 degrees

Now that we have two angles inside the triangle, we subtract them from 180 to find the last angle.

180 - 43 - 30 = 107

The angle with a measure of 107 degrees and angle 3 are supplementary

180 - 107 = 73 degrees

Answer:73.4° Fahrenheit.

Step-by-step explanation:

Answer:

(5,20)

Step-by-step explanation:

Because 3x+2(4x)=55 is then 11x=55, then divide the both by 11 to get x=5

The substitute y=4(5) because of x the get y=20

Answer:

the answer is 2 :)

have a good day !!

Step-by-step explanation:

There are 15 cats in the animal shelter.

An equation in which is  the highest power of to the  variables 1 is knowns as the  linear equation. Mathematically: it is an  algebraic equations that can be also  written in the form of  ax + b = 0 or ax + by + c = 0, where a, b and c are definitely real numbers and x and y are variables with the highest power one.
In order to solve this problem, we must set up a proportion. Proportions are an equation that states that two ratios are equal. In this case, we are looking for the number of cats (c) in the animal shelter.

Let's set up the proportion.

5/3 = 25/c

We can then solve for c by multiplying both sides by c.

5c/3 = 25

c = 15

Therefore, there are 15 cats in the animal shelter.

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Answer:

3

Step-by-step explanation:

Solution

- The solution steps are given below:

Final Answer

The answer is:

Answer:

The car will be worth 6,624$ in 3-years

Step-by-step explanation:

Firstly we need to move the decimal two to the left, so the decimal form of 1% is 0.01.

Secondly, we make the equation by plugging in a multiplication sign and the cost of the car. Example - (0.01 x 10,350).

Now, that we have everything in an equation we can multiply 0.01 by 10,350, which will give us what 0.01 percent of 10,350 is, (103.5).

Lastly, we will subtract 103.5 from the cost of the car (10,350) to get the value of the car after the first month. The cost of the car will be $10,246.5. To find the value after the next two years we will repeat these steps...

Direct distance from the base of the Space Needle to Kasie's house = 1429 feet.

The angle of depression is the angle between the horizontal line and the observation of the object from the horizontal line. It is basically used to get the distance of the two objects where the angles and an object's distance from the ground are known to us.

Given,

Height of the observation deck AB = 520 feet

Angle of depression = 70°

Distance of the Space needle base to house BC = ?

By the figure,

tan70° = AB/BC

BC = tan70°(AB)

BC = 2.7475(520)

BC = 1428.7 feet

Distance of the Space needle base to house to nearest foot = 1429 feet

Hence, 1429 feet is the distance between base of the Space Needle to Kasie's house.

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Answer:

The value of q that makes the expression a perfect square is q = 4.

Step-by-step explanation:

Perfect square:

A perfect square expression has the following format:

\((a - b)^2 = a^2 - 2ab + b^2\)

In this question:

\(9x^2 - 12x + q\) is a perfect square, we have to find the value of q.

First we have to find the value of a, looking at the equivalent formula above. So

\(a^2 = 9x^2\)

\(a = \sqrt{9x^2}\)

\(a = 3x\)

Since the second term, which is -2ab, is -12x, we have that:

\(-2ab = -12x\)

\(-2(3x)b = -12x\)

\(-6xb = -12x\)

\(6b = 12\)

\(b = \frac{12}{6}\)

\(b = 2\)

q is b squared. So

\(q = b^2 = 2^2 = 4\)

The value of q that makes the expression a perfect square is q = 4.

Answer:

his salary after three months would be 1300

Step-by-step explanation:

10 percent of 1000 is a hundred and multiply that by 3, it would equal 300 and add that to the 1000.

Answer:

False

Step-by-step explanation:

A variable is not a like term with a constant because the constant lacks a varible.

Answer:

95-9 (3+7)

95-9 (10)

86 (10)

= 8600

Step-by-step explanation:

I hope this was helpful!

God bless you!

The expression that represent the perimeter of the triangle is 3d² - 4d + 1.

The perimeter of any two-dimensional figure is simply the distance around the figure.

Hence, the perimeter of the triangle is the sum of all its 3 side lengths.

From the diagram:

Side length 1 = ( d² + 3 )

Side length 2 = ( 4d² + 3d - 2 )

Side length 3 = ( -2d² - 7d )

Hence, the perimeter of the triangle will be:

Perimeter = side length 1 + side length 2 + side length 3

Plug in the expressions

Perimeter = ( d² + 3 ) + ( 4d² + 3d - 2 ) + ( -2d² - 7d )

Collect and add like terms:

Perimeter = d² + 3 + 4d² + 3d - 2 + -2d² - 7d

Perimeter = d² + 4d² - 2d² + 3d - 7d + 3 - 2

Perimeter = 3d² - 4d + 1

Therefore, the perimeter is 3d² - 4d + 1.

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Based on the fact that the sum of the interior angles need to be equal to 180°, the missing angle is 110°

The sum of all the interior angles need to add up to 180° which means that to find the missing angle, you should subtract the known angles from 180°.

The missing angle is:

= Total angle - Known angles

Solving for the missing angle gives:

= 180 - 21 - 49

= 180 - 70

= 110°

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Answer:

Step-by-step explanation:

The sentence with the correct punctuation would be Alex ran well in the race, but lost by a whisker.

Punctuation marks are those symbols that are used to create meaning in both spoken and written works or sentences.

Examples of punctuation marks include the following:

A comma can be used to separate two clauses in a sentence. That is 'Alex ran well in the race' as the first clause and but lost by a whisker as the second clause.

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Answer:

???

Notes:

Hi, sorry, but I can't really do this if I don't know what 15 shirts cost, or if there isn't an equation of some sort. (Sorry again...)

The ordered pairs (-1, -6), (2, -18), (0, 0), and (-4, -12) do not correspond to the intervals where the graph of f(x) is decreasing. The pairs (1, -2) and (-3, -18) are the correct ones.

To determine where the graph of f(x) is decreasing, we need to examine the intervals where the function's derivative is negative. The derivative of f(x) is given by f'(x) = -3x^2 - 8x + 3.

Now, let's evaluate f'(x) for each of the given x-values:

f'(-1) = -3(-1)^2 - 8(-1) + 3 = -3 + 8 + 3 = 8

f'(2) = -3(2)^2 - 8(2) + 3 = -12 - 16 + 3 = -25

f'(0) = -3(0)^2 - 8(0) + 3 = 3

f'(1) = -3(1)^2 - 8(1) + 3 = -3 - 8 + 3 = -8

f'(-3) = -3(-3)^2 - 8(-3) + 3 = -27 + 24 + 3 = 0

f'(-4) = -3(-4)^2 - 8(-4) + 3 = -48 + 32 + 3 = -13

From the values above, we can determine the intervals where f(x) is decreasing:

f(x) is decreasing for x in the interval (-∞, -3).

f(x) is decreasing for x in the interval (1, 2).

Now let's check the ordered pairs in the table:

(-1, -6): Not in a decreasing interval.

(2, -18): Not in a decreasing interval.

(0, 0): Not in a decreasing interval.

(1, -2): In a decreasing interval.

(-3, -18): In a decreasing interval.

(-4, -12): Not in a decreasing interval.

Therefore, the ordered pairs (-1, -6), (2, -18), (0, 0), and (-4, -12) are not located in the intervals where the graph of f(x) is decreasing. The correct answer is: (1, -2), (-3, -18).

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Note the complete and the correct question is

Q- Consider the function below, which has a relative minimum located at (-3, -18) and a relative maximum located at 1/3, 14/27).

\(f(x) = -x^3 - 4x^2 + 3x\).

Select all ordered pairs in the table which are located where the graph of f(x) is decreasing: Ordered pairs: (-1, -6), (2, -18), (0, 0),(1 , -2), (-3 , -18), (-4. , -12)

Answer: 53.1ft

Step-by-step explanation:

We can draw a triangle rectangle.

Where the distance between the man and the tree is one cathetus, (the vertex is on the man's eyes)

The tree itself is the other cathetus, and the line that connects the man's eyes and the tip of the tree is the hypotenuse.

We know that:

The angle at the vertex of the man's eyes is 67°

And the adjacent cathetus, the distance between the man and the tree, is 20ft.

Then using the relation:

Tan(A) = (opposite cathetus)/(adjacent cathetus)

We can find the height of the treee:

Tan(67°) = X/20ft

Tan(67°)*20ft = X = 47.1ft

But remember that this is measured from the mans eye's, and the man's eyes are 6ft away from the ground.

Then the height of the tree is 47.1ft + 6ft = 53.1ft

The the length of LJ is approximately 3.5.OptionD) is correct.

To find the length of LJ, we can use the Law of Sines, which states that the ratio of the length of a side of a triangle to the sine of the angle opposite that side is the same for all sides of the triangle.

Let's denote the length of JL as x. Then, we can set up the following proportion:

sin(23°) / LJ = sin(89°) / KL

where KL is given as 9.

We can simplify this proportion by using the fact that sin(89°) = cos(1°) (since the sine of the complement of an angle is equal to the cosine of the angle), and by using a calculator to find the values of sin(23°) and cos(1°):

0.3919 / LJ = 0.0175 / 9

Multiplying both sides by x and then dividing both sides by 0.0175, we get:

LJ = 0.3919*9/ 0.0175

x ≈ 3.5

Therefore, the length of LJ is approximately 3.5.OptionD) is correct.

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Multiplication equations can be modeled using decimal models.

The multiplication equation is: \(\mathbf{0.50 \times 0.90 = 0.45}\)

From Phil model, we have the following highlights

So, the multiplication expression is:

\(\mathbf{\frac{50}{100} \times \frac{90}{100}}\)

Express as decimals

\(\mathbf{0.50 \times 0.90}\)

Multiply

\(\mathbf{0.50 \times 0.90 = 0.45}\)

Hence, the multiplication equation is: \(\mathbf{0.50 \times 0.90 = 0.45}\)

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