The population of a town is 32600 about 27% are over 60 years old about 19% are 16 or under how many are between 16 and 60

Answer:

x=70

Step-by-step explanation:

All the angles in a triangle have to add up to 180. 40 degrees is already taken up so there is 140 degrees left. There are 2 remaining angles, so 140/2=70. x=70.

Hope this helps!

Answer:

70

Step-by-step explanation:

all the angles add up to 180

180= 40 +x +x

180-40=2x

140=2x

140/2=x

x=70

Answer: 80%

Step-by-step explanation:

Answer:

80%

Step-by-step explanation:

Formula- a/b = n/100

36/45 = n/100

do cross multiplication:

3600/45 = 80

Answer:

хз

Step-by-step explanation:

внатуре хз

Answer:

Slope= 0

Step-by-step explanation:

Y2-Y1

_____

X2X1

X1=4

Y1=10

X2=2

Y2=10

10-10        0

____=  ____

2-4        -2

m=0

The evaluation of the limit limh→0 (√(69 - 8(x+h)) - √(69 - 8x)) / h results in -4 / √(69 - 8x).

To evaluate the given limit, we can simplify the expression by applying algebraic manipulations and then directly substitute the value of h=0. Let's go through the steps:

Start with the given expression:

limh→0 (√(69 - 8(x+h)) - √(69 - 8x)) / h.

Rationalize the numerator:

Multiply the numerator and denominator by the conjugate of the numerator, which is √(69 - 8(x+h)) + √(69 - 8x). This allows us to eliminate the radical in the numerator.

limh→0 ((√(69 - 8(x+h)) - √(69 - 8x)) * (√(69 - 8(x+h)) + √(69 - 8x))) / (h * (√(69 - 8(x+h)) + √(69 - 8x))).

Simplify the numerator:

Applying the difference of squares formula, we have (√(69 - 8(x+h)) - √(69 - 8x)) * (√(69 - 8(x+h)) + √(69 - 8x)) = (69 - 8(x+h)) - (69 - 8x) = -8h.

limh→0 (-8h) / (h * (√(69 - 8(x+h)) + √(69 - 8x))).

Cancel out the h in the numerator and denominator:

The h term in the numerator cancels out with one of the h terms in the denominator, leaving us with:

limh→0 -8 / (√(69 - 8(x+h)) + √(69 - 8x)).

Substitute h=0 into the expression:

Plugging in h=0 into the expression gives us:

-8 / (√(69 - 8x) + √(69 - 8x)).

This simplifies to:

-8 / (2√(69 - 8x)).

To evaluate the given limit, we first rationalized the numerator by multiplying it by the conjugate of the numerator expression. This eliminated the radicals in the numerator and simplified the expression.

After simplification, we were left with an expression that contained a cancelation of the h term in the numerator and denominator, resulting in an expression without h.

Finally, by substituting h=0 into the expression, we obtained the final result of -4 / √(69 - 8x). This represents the instantaneous rate of change or slope of the given expression at the specific point.

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Triangle KVM is similar to triangle BVG because angle M = angle G = 90° and angle V is common to both triangles.

Two triangles are similar if the angles are the same size or the corresponding sides are in the same ratio.

For two triangles to be similar, the corresponding angles must be congruent i.e equal.. Also the ratio of the corresponding sides of similar triangles are equal.

angle M and G are both 90° , this means they are equal.

angle KVM = BVG

therefore angle K = angle B

Since all the corresponding angles are equal, we can say triangle KVM is similar to triangle BVG

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Answer:

4-1x is the answer, I hope this helps and have good day:)

Step-by-step explanation:

Answer:

13y

Step-by-step explanation:

1y-14y

13y

The sum of 13y

The answer to the various exercises would be explained and given below.

Parallel lines are those lines that do not meet or intercept at any point.

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Answer:

27,032 Rupees

Step-by-step explanation:

$1.09 x 400 = $436

$436 x 62 = 27,032

(Hope this helps and that it's not wrong ^-^)

Answer:

A

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

Hope this helps! :)

The completely factored form of the polynomial is 7x² (x + 6) (x - 4)

Given,

The polynomial ; 7x⁴ + 14x³ - 168x²

We have to find the complete factored form of this polynomial;

Polynomial;

An expression that consists of variables, constants, and exponents that is combined using mathematical operations like addition, subtraction, multiplication, and division is referred to as a polynomial (No division operation by a variable).

Here,

The polynomial is  7x⁴ + 14x³ - 168x²

Now,

Factorize the polynomial using common factors;

That is,

7x⁴ + 14x³ - 168x²

7x² (x² + 2x - 24)

Solve x² + 2x - 24 using quadratic formula;

That is,

\(\frac{-b(+-)\sqrt{b^{2}-4ac } }{2a}\) = \(\frac{-2(+-)\sqrt{2^{2} -4*1*-24} }{2*1}\) = \(\frac{-2(+-)\sqrt{4-96} }{2}\) = -2±√-92 / 2

Now,

Solve

-2 + √-92 / 2 = 3.79 ≈ 4

Solve

-2 - √-92 / 2 = -5.79 ≈ -6

Then,

The factors will be (x - 4) and (x + 6)

So,

7x² (x + 6) (x - 4) will be the factored form of the polynomial.

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Given the following expression:

The similar terms must have the same variable with the same exponents

So, note the following:

So, the given expression will be:

A right angled triangle with height = 7, base = 11, by using the Pythagorean theorem, we can calculate the hypotenuse is approximately 13. Therefore, the missing side, x = 13.

In a right angled triangle, using the Pythagorean theorem: sum of the squares of the base and height is equal to the square of the hypotenuse, we can find the hypotenuse x.

\(x^2 = 7^2 + 11^2\)

\(x^2 = 49 + 121\)

\(x^2 = 170\)

Taking the square root of both sides, we get:

x ≈ 13.0384

Rounding this to the nearest tenth, we get:

x ≈ 13.0

Therefore, the length of x is approximately 13.0 units (rounded to the nearest tenth).

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Answer:

The answer is C

Step-by-step explanation:

The three-inch cube would be worth \(9\text{ lb}\times $20/\text{lb} = $180$.\)

Since the cube is made of silver, we know that the ratio of volume to weight is constant, meaning that the density of silver is the same throughout the cube. Therefore, if a two-inch cube of silver weighs 3 pounds, then its volume is \($(2\text{ in})^3=8\text{ in}^3$\) and its density is \(3\text{ lb}/8\text{ in}^3 = 0.375\text{ lb/in}^3$.\)

Now let's consider a three-inch cube. Its volume is \($(3\text{ in})^3=27\text{ in}^3$\), which is 3 times the volume of the two-inch cube. Since the density is the same, the weight of the three-inch cube will be 3 times the weight of the two-inch cube, or \(3\times 3\text{ lb}=9\text{ lb}$.\)

To find the value of the three-inch cube, we need to know the price of silver per pound. Let's assume it's \($$20$\) per pound (this is just an example). Then the three-inch cube would be worth \(9\text{ lb}\times $20/\text{lb} = $180$.\)

In general, the value of the three-inch cube would be proportional to the weight and the price of silver per pound.

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Answer:

hey there here's your answer !!!!

Step-by-step explanation:

For two-digit numbers, there is the TENS place and the ONES place. Let's take a closer look at the place value for the number 12. The 1 is in the TENS place, and the 2 is in the ONES place. That's because the number 12 is made up of 1 ten and 2 ones.

When the student needs to select a statistical question to research for a project, the question that he should select is D. How many students in my class were absent last Wednesday?

Any question that may be answered statistically is one for which data collection is possible and for which there will be some degree of data variability. Because there is no variability in the data used to answer the question, questions that can only be answered with a single data point are not statistical questions.

To do research for a project, a student must choose a statistical question. In this case, it should be noted that it's important to select a question that's specific. This was illustrated by option D.

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Tina will have to drive at the speed of 60 miles/hour in order to reach her work place 10 minutes earlier.

In the given question, it is stated that Tina lives 30 miles away from her work place and she drives normally at a speed of 45 miles/hour. She wants to reach the work place 10 minutes earlier and we have to find out how fast would she have to drive in order to reach there earlier.

We know the Speed Distance formula:

=> Speed = Distance/Time

Here, Normally she drives at a Speed of 45miles/hour, and for Distance of 30 miles, then we can find out the time that she takes using the formula:

=> S = D/T
Putting values, we get:

=> 45 = 30/T

=> T = 30/45

=> T = 0.66 hours

Now, she has to reach there 10 minutes earlier. First, we will convert 10 minutes into hour

=> 10 minutes = 10/60 hours

=> 0.16 hours

Now, we will Subtract 0.16 hours from normal time T which is 0.66 hours. So, the New Time T₁

=> T₁ = 0.66 - 0.16

=> T₁ = 0.5 Hours

Putting T₁ as 0.5 Hours and Distance 30 miles in the speed distance formula, we get:

=> S = D/T

=> S = 30/0.5

=> S = 60 miles/hour

Hence, Tina will have to drive at a speed of 60 miles/hour.

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Answer:

7

Step-by-step explanation:

According to the Question,

Given, There is a 2-digit number, the unit digit is 3 & The sum of its tens digit, and the unit digit is 10.

Suppose The Number is XY .

Now, We Know X+Y=10 & Y=3 .

So, X+3=10 ⇔ 7 is the number on Tens Place.

And, the Number is 73 .

First, write the equation of the line.

Let's find the y-intercept.

Now, let's find the slope.

Finding the slope:

Our equation: y = -3x + 5

Now, let's change the sign to "≤" because that will tell us the area of the gray region. If we were using the sign "≥", that would find the area of the blue region.

Linear inequality = y ≤ -3x + 5

Option B is correct.

The value of x from the solution =4
The value of y from the solution =7

Equation 1: 2x + y = 15
Equation 2: y + 5 = 3x

Let's solve for y in Equation 1:

y = 15 - 2x

Now, substitute this expression for y in Equation 2:

(15 - 2x) + 5 = 3x

Simplify and solve for x:

15 - 2x + 5 = 3x
20 = 5x
x = 4

Now that we have the value of x, substitute it back into the expression for y:

y = 15 - 2(4)
y = 15 - 8
y = 7

So, the solution for the system of equations is x = 4 and y = 7.

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Answer:

y = 7x-50 (using slope intercept form and slope point form)

Morse's monthly budget is a surplus of $1,241. Morse's budget is a good example of how budgeting.

A budget helps to ensure that money is allocated properly and  resources are used efficiently. It can also help to monitor and control spending, prioritize needs, and set goals.

This is calculated by subtracting his fixed and living expenses of $4,247 ($3,783 + $464) from his annual net income of $36,451.

$36,451 - $4,247 = $32,504

This gives Morse a total of $32,504 to spend over the course of the year, or $2,709 a month.

When this amount is subtracted from his annual net income, it gives a surplus of $1,241 per month.

$36,451 - $32,504=  $1,241

Morse's budget is a good example of how budgeting can be used to ensure that all expenses are covered and that there is a surplus at the end of the year.

By planning his budget in advance and sticking to it, Morse can ensure that he has enough money to cover all of his expenses and still have a surplus at the end of the year. This ensures that he has enough money to cover unexpected costs or to save for the future.

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Answer:

x = 127 i promise, i forgot the name of this theorem but there is a theorem that proves x = 127

Hope this helps!

Answer: a) cot x - cot x cos x

Step-by-step explanation:

\(\dfrac{\sin x}{\sec x+1}\bigg(\dfrac{\sec x-1}{\sec x-1}\bigg)\\\\\\=\dfrac{\sin x(\sec x-1)}{\tan^2 x}\\\\\\=\dfrac{\sin x\sec x-\sin x}{\tan^2 x}\\\\\\=\dfrac{\sin x\sec x}{\tan^2}-\dfrac{\sin x}{\tan^2 x}\\\\\\=\dfrac{\frac{\sin x}{\cos x}}{\frac{\sin x}{\cos x}\tan x}-\dfrac{\sin x}{(\frac{\sin x}{\cos x})^2}\\\\\\=\dfrac{1}{\tan x}-\dfrac{\cos x\cos x\sin x}{\sin x\sin x}\\\\\\=\large\boxed{\cot x-\cot x\cos x}\)

The total cost  of he meat with tax and tip is $ 22.42

To calculate the total cost with tax and tip, we need to follow these steps:

multiply the meal cost by the tip rate. when  the tip rate is 18%, we have:

Tip amount = $19.00 * 0.18 = $3.42

Add the meal cost, sales tax, and tip amount to get the total cost:

Total cost = Meal cost + Sales tax + Tip amount

= $19.00 + $3.42

= $ 22.42

Therefore, the total cost with tax and tip is $22.42

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The reason given for the statement are based on information from

the question, or a postulate or theorem.

Reasons:

The two column proof in the question is presented as follows;

Statement             \({}\)          Reason

1. ∠A ≅ ∠C            \({}\)          Given

2. ∠DEA ≅ ∠BEC        \({}\)    Given (Error)

3. \(\overline{AE}\) ≅ \(\overline{EC}\)            \({}\)         Given

4. ΔAED ≅ ΔCEB         \({}\)   Angle-Side-Angle congruence

Required:

The first error made in the proof

Solution:

The first error made in the above proof is the reason for statement 2.

2. ∠DEA ≅ ∠BEC \({}\)   Given (Error)

The correct reason is as follows;

2. ∠DEA ≅ ∠BEC \({}\)   Vertical angle postulate

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Answer:

A. Zoe used an invalid reason to justify the congruence of a pair of sides or angles.

Step-by-step explanation:

Step 1

The diagram does support the claim that \angle A \cong \angle C∠A≅∠Cangle, A, \cong, angle, C because they both have double arcs.

Step 1 is correct.

Step 2

The diagram does not give us congruence symbols or equal measures for \angle DEA∠DEAangle, D, E, A and \angle BEC∠BECangle, B, E, C.

Zoe needed to justify this step by stating that vertical angles are congruent.

Zoe used an invalid reason to justify the congruence of a pair of sides or angles.

The probability that a student scores between 450 and 600 on the SAT math section is approximately 0.4147 or 41.47%.

To find the probability that a student scores between 450 and 600 on the SAT math section, we need to use the properties of the normal distribution. We know that the mean is 511 and the standard deviation is 110.

First, we need to standardize the values of 450 and 600 using the formula:

z = (x - μ) / σ

where x is the value we want to standardize, μ is the mean, and σ is the standard deviation.

For 450:

z = (450 - 511) / 110 = -0.55

For 600:

z = (600 - 511) / 110 = 0.81

Next, we need to find the area under the normal curve between these two standardized values. We can use a table or a calculator to find that the area between z = -0.55 and z = 0.81 is approximately 0.4147.

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