Let sintheta =2times square root 3/5 and pi/2

A. The percent error is 25%

B. Another estimate that gives the same percent error is the Theoretical value.

A. To find the percent error, we use the following formula:

percent error = (|experimental value - theoretical value| / theoretical value) x 100

In this case, the experimental value is 4000 years (from carbon-14 dating) and the theoretical value is 3200 years (from the researcher's estimate). Plugging these values into the formula:

percent error = (|4000 - 3200| / 3200) x 100 = (800 / 3200) x 100 = 25%

B. To find an estimate that gives the same percent error, we can use the formula:

Theoretical value = experimental value / (1 + percent error / 100)

If we use the same percent error (25%) and experimental value (4000 years) as before:

Theoretical value = 4000 / (1 + 25/100) = 4000 / 1.25 = 3200

So, an estimate of 3200 years would give the same 25% percent error as the researcher's original estimate.

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Answer:

9

Step-by-step explanation:

You're looking for the percentage that "did not complete the marathon" So take the 25 that gave up and the 3 that were disqualified and add those. Then divide 260 by your sum of those groups. Your expresssion should be 260/28 which gives you the decimal 9.28571429. Your answer would be 9 because this question doesn't ask for a decimal answer.

From the problem :

We can rewrite the expression as multiplication :

The answer is C -r/3

The required amount charged to Tiffany for 9 minutes of the car wash is $11.14. Option A is correct.

The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.

Here,

The additional charge for the time Tiffany was at the car wash was $0.66 per minute, so the total charge for 9 minutes would be
= $0.66 * 9
= $5.94.

Adding this to the original charge of $5.20 gives a total charge,
= $5.20 + $5.94
= $11.14.

Therefore, Tiffany was charged A) $11.14.

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Answer:

you would pay $32.92 in total

solution:

17/100=0.17

hence,$32.75+0.17=$32.92

The answer is -10 ÷ (-2/5)

The required expression will be -10 ÷ (-2/5).

Numbers, symbols and operators grouped together that show the value of something.

Given are the numbers -10, -5/2,-2/5, or 5

Using the numbers,

-10 ÷ (-2/5).

Hence,  -10 ÷ (-2/5) will be the expression.

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Answer:

-1

Step-by-step explanation:

Pick two points on the line

(0,2) and (2,0)

Using the slope formula

m = ( y2-y1)/(x2-x1)

    = ( 0-2)/(2-0)

    = -2/2

  = -1

Answer:

-1

Step-by-step explanation:

Use two points on the line to find the slope, using rise over run.

We can use the points (0, 2) and (2, 0).

From the first point to the other, the y value decreases by 2 and the x value increases by 2.

Use rise (change in y value) over run (change in x value):

-2 / 2

= -1

So, the slope is -1.

~\(\frak{LoveYourselfFirst:)}\)

Hey there!

Do you remember what the Distributive property states? If not, no worries! Here's what this property states:

a(b+c)=ab+ac

In this formula, a, b, and c can be

Now that we know what this property states, let's simplify this expression.

5(x-2)

First, multiply 5 times x:

5x (5 is the coefficient of x, by the way)

Then, multiply 5 times -2 (please pay attention to the sign) :)

-10

Put both terms together.

Hence, the simplified expression is

\(\boxed{\boxed{\bold{5x-10}}}\)

Is it possible to simplify the expression any further? No.

Why? Because 5x and -10 aren't like terms, so we cannot combine them.

Hope everything is clear.

Let me know if you have any questions!

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:-)

Based on the above, David must save $150 each month to cover the money left over for his first year of college.

To calculate the savings that David must make monthly for the next 5 years we must carry out the following procedure:

His uncle gave him $12,000 so we must subtract this value from the total he needs.

So he must save $9,000 in 5 years.

According to the above, he must save $1,800 per year, so each month he should save $150.

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Answer: KL = KN LM=NO=9 Side-Side-Side

Step-by-step explanation:

The required answers to the question is given below.

Triangle congruence: If all three corresponding sides and all three corresponding angles are equal in size, two triangles are said to be congruent. Slide, twist, flip, and turn these triangles to create a similar appearance. They are in alignment with one another when moved. "≅" is the congruence symbol.

Use the following figure to understand the answer.

The Proof is

1. KM=KO=5 (GIven)

2. MN=3 (Given)

3. KN=KM+MN=8 (because the lengths are equal to the sum of their parts.)

4. KL=8 (Given)

5. KL=KN (from 3,4 substitution)

6. NO=ML=9 (Given)

7. ΔKLM=ΔKNO the congruence criterion used is SSS congruence.

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The domain of the rational expression (6-x)/(4x+20) is all real numbers except x = -5.

To find the domain of a rational expression, we need to identify any values of x that would result in division by zero. Division by zero is undefined in mathematics
In this case, we need to set the denominator, 4x+20, equal to zero and solve for x:
4x + 20 = 0
Subtract 20 from both sides:
4x = -20
Divide both sides by 4:
x = -5
Therefore, the value x = -5 makes the denominator zero.
Now, we need to consider the values of x for which the denominator is not zero. Since the denominator is a linear expression (a polynomial of degree 1), it is defined for all real numbers except x = -5.
So, the domain of the rational expression (6-x)/(4x+20) is all real numbers except x = -5.

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Given that 16 families went on a trip and the cost of the trip was Rs. 2,16,352.The amount paid by each family is to be determined by unitary method Hence each family paid Rs.13522

Now, let's solve this by using the method of unitary method. To find the cost of 1 family trip, we will divide the total cost of the trip by the number of families.2,16,352 / 16 = 13,522 So, the cost of the trip per family is Rs. 13,522.Hence, each family paid Rs. 13,522 for the trip.

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Answer:

Step-by-step explanation

1. The total cost of the trip for all 16 families is Rs 2,16,352.
2. To find out how much each family paid, we need to divide the total cost by the number of families: Rs 2,16,352 ÷ 16.
3. When we do the division, we get the result: Rs 13,522.

Now let's check if this result is correct:

1. If each family paid Rs 13,522 for the trip, then the total cost for all 16 families would be: 16 × Rs 13,522 = Rs 2,16,352.
2. This is exactly the same as the total cost given in the problem statement.

So we have shown that each family paid **Rs 13,522** for the trip

Answer:

(-\(\frac{\sqrt{3}}{2}\),-\(\frac{1}{2}\))

Step-by-step explanation:

The corresponding point on the unit circle is ( -√3/2 , -1/2).

A unit circle is just a circle that has a radius of 1 unit. A unit circle can be used to define right triangle relationships known as sine, cosine and tangent. These relationships describe how angles and sides of a right triangle relate to one another.

For the given situation,

The radian measure is θ = 7pi/6

In unit circle, the radian θ = \(\frac{7\pi }{6}\) lies in the third quadrant and it's equal degree measure is \(210\)°.

The corresponding point for this radian measure is

( \(\frac{-\sqrt{3} }{2} ,\frac{-1}{2}\) )

Hence we can conclude that the corresponding point on the unit circle is ( -√3/2 , -1/2).

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The answer is 140 because 14 x 10 is 140

Answer: \(cosx =- \sqrt{ 1 - sin^2x}\)

Step-by-step explanation:

Generally speaking; \(cos^2x + sin^2x = 1\)

rearranging this gives us all sorts of cool things.

for now, we will use: \(cosx = \sqrt{ 1 - sin^2x}\)

This however, is general.

In the third quadrant, cosine is negative. So cosx in QIII will be:

\(cosx =- \sqrt{ 1 - sin^2x}\)

and thats the answer :)

Answer:

No, the sale price wasn't consistent with the ad

Step-by-step explanation:

The original selling price is 109. 9% of 109 is 9.81. So the sale price should be 99.19.

Answer:

Hi there!!

Your answer is:

f= -44

Step-by-step explanation:

5(f+4) = 4(f-6)

5f +20 = 4f -24

-4f

f +20= -24

-20

f= -44

Answer:

$80.24

Step-by-step explanation:

Answer:

0

Step-by-step explanation:

7 + (-8) + 2 + (-1)

is the same as:

7 - 8 + 2 - 1

Simplify these:

-1 + 1

Solve:

0

Answer: X = -351

Step-by-step explanation:

Answer:

x=117

Step-by-step explanation:

Answer:

(-2, - 11)

Step-by-step explanation:

Coordinate of preimage = (4, - 3)

Pre image is translated <-6,-8>

X - coordinate of preimage = 4

Translation, x coordinate + (-6)

Y - coordinate of preimage = - 3

Translation, x coordinate + (-8)

Image will be located at (4+(-6) ; - 3+(-8))

Hence, we have (-2, - 11)

The steps to create a bar graph are explained below.

To match the two-way table to the segmented bar graph, we need to create a segmented bar graph that represents the data in the table. The table shows the percentage of students in each grade who voted for each mascot option.

Here is how we can match the two-way table to the segmented bar graph:

By creating a segmented bar graph that represents the data in the two-way table, we can visually compare the percentage of students who voted for each mascot option across different grade levels.

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Answer:

2.2

Step-by-step explanation:

(1.85 x 2) - 1.50

...............

Answer:

A. x+y<20

B.x+5y>40

C.(9)+5(9)=51 51>40

9+9=18 18<20

Step-by-step explanation:

Answer:

A. x+y<20

B.x+5y>40

C.(9)+5(9)=51 51>40

9+9=18 18<20

Step-by-step explanation:

Answer:

√29

Step-by-step explanation:

This is due to A^2+b^2=c^2. you know that side a and b are 2 and 5, so it beocmes 25+4/=c^2, which means that 29=c^2, and you root it to get rid of the power of 2, so you obtain c=√29

Statement:

A person is running at an initial velocity of 3.7 m/s. If the person is accelerating at 2 m/s².

To find out:

The person's final velocity after 3 s.

Solution:

Answer:

The final velocity is 9.7 m/s in the direction of the motion.

Hope you could understand.

If you have any query, feel free to ask.

For the expression \(x^64 + ax^b + 25\) to be a perfect square for all integer values of x, b must be 64, and a must be a perfect square, written as a = \(y^2.\)

To determine the values of a and b such that the expression\(x^64 + ax^b\) + 25 is a perfect square for all integer values of x, we need to analyze the properties of perfect squares.

A perfect square is an expression that can be written as the square of another expression. In this case, we want the given expression to be in the form of\((x^n)^2,\) where n is an even integer.

Let's examine the given expression: \(x^64 + ax^b\) + 25

For it to be a perfect square, the quadratic term \(ax^b\)must have the same exponent as the leading term\(x^6^4.\) This means b must be equal to 64.

So we have:\(x^64 + ax^64 + 25\)

Now, we can rewrite this as:\((x^32)^2 + 2(x^32) (\sqrt{a}) + (\sqrt{25})^2\)

By comparing this with the standard form of a perfect square, (\(x^n +\sqrt{k} )^2\), we can deduce that √a must be equal to x^32 and \(\sqrt{25}\) must be equal to \(\sqrt{k.}\)

Therefore, we have: \(\sqrt{a} = x^3^2\)and\(\sqrt{25} = \sqrt{k}\)

From the second equation, we know that k = 25.

Now, substituting the value of k back into the first equation, we have: \(\sqrt{a} = x^3^2\)

To satisfy this equation for all integer values of x, a must be a perfect square. Therefore, we can express a as a =\(y^2\), where y is an integer.

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