if y=40 when x=16, find y when x=10.

Answer:

A,C,D

Step-by-step explanation:

Answer:

SRT and TRV

VRW and WRS

VRU and URS

Step-by-step explanation:

Linear Pair

A pair of angles next to each other that form a line, and when added to together equal 180°.

So, the linear pairs are:

SRT and TRV

VRW and WRS

VRU and URS

Answer:

f(x)=-1/4x-2

Step-by-step explanation:

m=-3-(-2)/4-0=-1/4= slope

b=y-intercept=-2,

so f(x)=-1/4x-2

A linear function f with f(4)=−3 and f(0)=−2 is

\(f(x)=-\frac{1}{4}x-2\)

Given :

a linear function f with f(4)=−3 and f(0)=−2.

f(0)=-2. It means y intercept is -2

Linear equation of a line is given by y=mx+b

where m is the slope and b is the y intercept

y intercept b is -2

Lets find out slope m . Lets use f(4)=-3  that is when x=4 the value of y is -3

\(y=mx+b\\y=mx-2\\x=4, y=-3\\-3=m(4)-2\\-3+2=4m\\-1=4m\\m=-\frac{1}{4}\)

Now we replace in the equation of line y=mx+b

\(y=mx+b\\y=-\frac{1}{4}x-2\)

Replace y with f(x) to get linear function

\(f(x)=-\frac{1}{4}x-2\)

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\(9 - 3(x + 2) \\ 9 - 3 x - 6\\3-3x\)

\( - 7(3x - 4) \\ - 7 \times 3x - 7 \times ( - 4) \\ - 21x - 7 \times ( - 4) \\ - 21x + 28\)

\(7(9n - 3) \\ 7 \times 9n - 7 \times 3 \\ 63n - 21\)

\(6(4y - 5) + 6 \\ 6 \times 4y - 6 \times 5 + 6 \\ 24y - 30 + 6 \\ 24y - 24\)

Ball A weighs 30g, as stated in the problem

We have,

The problem states that there are five balls, labeled A, B, C, D, and E, and provides their respective weights:

A weighs 30g, B weighs 50g, C weighs 50g, D weighs 50g, and E weighs 80g.

There is only one ball that weighs 30g in this problem, which is ball A.

The other balls weigh different amounts - ball B, C, and D all weigh 50g, and ball E weighs 80g.

It is possible that the question is asking which ball does not weigh 30g, in which case the answer would be any of the balls except for ball A.

However, based on the wording of the original question, it specifically asks which ball weighs 30g, making ball A the correct answer.

Therefore,

The ball that weighs 30g is Ball A.

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\(\huge\boxed{Hi\:there!}\)

\(\huge\sf{3x=9^2}\)

\(\huge\sf{3x=81}\)

\(\huge\sf{Divide\:both\:sides\:by\:3\:to\:isolate\:x:}\)

\(\huge\sf{x=27}\)

\(\huge\boxed{Hence,\:x=27.}\)

\(\huge\sf\underline{Hope\:it\:helps}\)

\(\boxed{CheerfulGirlie\:here\:to\:help}\)

Find the value of x

3x = 9²

x = 27

=> 3x = 9²

=> 3x = 81 [9² = 9×9 = 81]

=> x = 81/3

=> x = 27

Answer:a,b,c

Step-by-step explanation:

The correct statement is option (B),(C) and (E).

It is required to choose the correct statement.

An expression is a set of terms combined using the operations +, – , x or ÷. An expression is a number, a variable, or a combination of numbers and variables and operation symbols. An expression is in simplest form when no terms can be combined.

Given:

Thomas to purchase some new clothes, including tax.

1.065(30+20x)

Where, x represents the number of shirts.

The correct statement is

B.) Each shirt costs $20.

20 is price of shirt before tax.

C.) The sales tax 6.5%

1.065  = 1 + 0.065   = 1 + 6.5 % of sales tax.

E.) The cost of a shirt with tax is $21.30

The cost of a shirt with tax  = 20  * 1.065  =  $21.30.

Therefore, the correct statement is option (B),(C) and (E).

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option (a) Yes, a frequency distribution can have overlapping classes.

Overlapping classes are used when we have a data set with values that overlap two or more classes or intervals.

In such cases, we can either consider the values to belong to only one of the classes, or we can divide the frequency of such values between two or more classes.

This means that the frequency of such values will be counted in each class it overlaps with.

Therefore, overlapping classes are a useful technique to deal with data that falls into more than one category.

In conclusion, a frequency distribution can have overlapping classes, and it is a common occurrence in certain types of data sets.

Therefore, option (a) is correct.

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The percent increase of the population in the past 10 years is 12.5%.

Percent​ increase is simply the amount of increase from the initial value to the new value in terms of 100 parts of the initial value.

It is expressed as;

C = ((x₂ - x₁) / x₁)100%

Where x₁ is initial value and x₂ is new value

Given that;

Plug in the given values into the above equation and simplify.

C = ((x₂ - x₁) / x₁) × 100%

C = (( 9000 - 8000 ) / 8000) × 100%

C = ( 1000 / 8000) × 100%

C = 0.125 × 100%

C = 12.5%

Therefore, the percent increase is 12.5.

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Answer:

4/15

Step-by-step explanation:

3/5-1/3

9-5/15

=4/15

I ain't really sure

Answer:

f(x) = -2x – 7 ; if x < -5

-(x + 2)² + 6 ; if -5 ≤ x < 0

√(x) – 1 ; if x ≥ 0

Answer:

7 ans=26

Step-by-step explanation:

7)

both chords are equal so

9x-1=41-5x

14x=42

x=3

now,

41-5*3=26

Answer:

EF = 26

x = 10

Step-by-step explanation:

7.

Since it is given that EF and arc CD are equal, we can set up an equation to find the value of EF.

Substitute the given values of CD and EF into the equation:

Solve for x by adding 5x to both sides and adding 1 to both sides:

Divide both sides by 14 to find the value of x:

Substitute the value of x into the equation for EF:

So the value of EF is 26.

Answer:

69

Step-by-step explanation:

that is what it is

Answer:

The answer should be 984

Step-by-step explanation:

To measure the volume of an irregular-shaped object, you can use the water displacement method, geometric approximation, or advanced techniques like 3D scanning technology.

To measure the volume of an irregular-shaped object, you can use one of several methods depending on the object's characteristics. Here are a few common approaches:

1. Water Displacement Method:

  - Fill a container with water and measure the initial volume (V1) of the water.

  - Carefully place the irregular object into the container, ensuring it is fully submerged.

  - The object will displace a volume of water equal to its own volume.

  - Measure the final volume (V2) of the water and subtract the initial volume (V1) to determine the volume of the object.

  Volume of the object = V2 - V1

2. Graduated Cylinder Method:

  - If the irregular object is small enough, you can use a graduated cylinder filled with a liquid (such as water) instead of a large container.

  - Carefully lower the object into the graduated cylinder, ensuring it is fully submerged.

  - Read the initial volume of the liquid in the graduated cylinder.

  - Measure the final volume of the liquid after adding the object.

  - The difference between the initial and final volume indicates the volume of the object.

3. Geometric Approximation:

  - If the irregular object has a shape that closely resembles a known geometric shape (e.g., a cone, cylinder, or box), you can approximate its volume using the appropriate formula for that shape.

  - Measure the relevant dimensions of the object, such as height, base radius, or length, depending on the shape.

  - Calculate the volume using the appropriate formula for the geometric shape.

4. 3D Scanning Technology:

  - Advanced techniques involve using 3D scanning technology to create a digital model of the irregular object.

  - Specialized software can then calculate the volume based on the digital model.

It's important to note that the accuracy of these methods depends on the precision of the measurements and any assumptions made in the process. Select the method that suits your object and available resources best, considering factors such as size, material, and the desired level of accuracy.

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Answer:

What does it mean but just Million dollar?

Step-by-step explanation:

Answer:

your answer is 561,072,052

Answer:The height of the roof in his house is 72.43 ft.

Step-by-step explanation:

The volume of square pyramid is :

B= area of the base.

h= the height.

Given that,

The roof is a square pyramid in shape. The volume of the roof is 18929.333 cubic feet.

The side length of the base of the roof is 28 feet.

Since the base of the roof is square in shape.

The area of the square is = side²

The area of the base is =(28×28) square feet

                                      =784  square feet

Assume the height of the roof be h ft.

Then, the volume of the roof is =  

                                                   square feet.

According to the problem,

ft.

The height of the roof in his roof is 72.43 ft.

Step-by-step explanation:

Answer:

i) P(X<33)  = 0.9232

ii) P(X>26) = 0.001

Step-by-step explanation:

Step(i):-

Given that the mean of the Population = 30

Given that the standard deviation of the Population = 4

Let 'X' be the Normal distribution

Step(ii):-

i)

Given that the random variable  X = 33

               \(Z = \frac{x-mean}{S.D}\)

               \(Z = \frac{33-30}{2} = 1.5\) >0

P(X<33) = P( Z<1.5)

              = 1- P(Z>1.5)

             = 1 - ( 0.5 - A(1.5))

             = 0.5 + 0.4232

  P(X<33)  = 0.9232

Step(iii) :-

Given that the random variable  X = 26

               \(Z = \frac{x-mean}{S.D}\)

               \(Z = \frac{33-26}{2} = 3.5\) >0

P(X>26)  = P( Z>3.5)

              = 0.5 - A(3.5)

              = 0.5 - 0.4990

             = 0.001

P(X>26) = 0.001

Answer: The answer is 21

Step-by-step explanation:

Answer:

21

Step-by-step explanation:

7x3

B. 2 and OD. 15 are not possible lengths for the third side of the triangle.

To determine the possible values for the length of the third side of a triangle, we need to consider the triangle inequality theorem, which states that the sum of the lengths of any two sides of a triangle must be greater than the length of the third side.

Given that two sides have lengths 6 and 9, we can analyze the possibilities:

6 + 9 > x

x > 15 - The sum of the two known sides is greater than any possible third side.

6 + x > 9

x > 3 - The length of the unknown side must be greater than the difference between the two known sides.

9 + x > 6

x > -3 - Since the length of a side cannot be negative, this inequality is always satisfied.

Based on the analysis, the possible values for the length of the third side are:

A. 7

C. 4

□E. 10

O F. 12

B. 2 and OD. 15 are not possible lengths for the third side of the triangle.

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The cost of an adult ticket is £17 and a child ticket is £9.

Let's assume 'a'  for an adult ticket and 'c' for a child ticket

The cost of tickets for the Smith family of 2 adults and 3 children is £61

Equating, \(2a+3c=61\)

\(2a=61-3c\)

Dividing by 2, \(a=30.5-1.5c\)        (equation 1)

Now, the cost of tickets for the Jones family of three adults and five children is £96

Equating, \(3a+5c=96\)                 (equation 2)

Using equation 1, \(3(30.5-1.5c)+5c=96\)

\(91.5-4.5c+5c=96\)

\(91.5+0.5c=96\)

\(0.5c=96-91.5\)

\(0.5c=4.5\)

\(c = \frac{4.5}{0.5}\)

\(c=9\)

Similarly, putting the answer of equation 2 in equation 1

we get, \(a=30.5-1.5c\)

\(a=30.5-1.5(9)\)

\(a=17\)

Therefore, adult tickets cost £17 and child tickets cost £9

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The value of the equation x² - x + 3 is 37/9.

We have,

We can start by multiplying both sides of the equation by x:

2x - 3/x = x + 1

2x - 3 = x^2 + x

Rearranging and simplifying, we get:

x^2 - x + 3 = (2x - 3) + x^2

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

-x + 3 = 2x - 3

5 = 3x

x = 5/3

Now we can substitute x into the equation x^2 - x + 3:

x^2 - x + 3 = (5/3)^2 - 5/3 + 3

x^2 - x + 3 = 25/9 - 15/9 + 27/9

x^2 - x + 3 = 37/9

Therefore,

The value of x² - x + 3 is 37/9.

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we first need to determine the area of the circle and the regular polygon and then subtract the area of the regular polygon from the area of the circle.The area of the circle can be found using the formula A = πr², where A is the area and r is the radius. Substituting the given value of r = 3 units, we get A = π(3)² = 9π square units.

The area of the regular polygon can be found using the formula A = 1/2 × perimeter × apothem, where A is the area, perimeter is the sum of all sides of the polygon, and apothem is the distance from the center of the polygon to the midpoint of any side. Since the polygon is regular, all sides are equal, and the apothem is also the radius of the circle. The number of sides of the polygon is not given, but we know that it is regular. Therefore, it is either an equilateral triangle, square, pentagon, hexagon, or some other regular polygon with more sides. For simplicity, we will assume that it is a regular hexagon.Using the formula for the perimeter of a regular hexagon, P = 6s, where s is the length of each side, we get s = P/6. The radius of the circle is also equal to the apothem of the regular hexagon, which is equal to the distance from the center of the polygon to the midpoint of any side.

The length of this segment is equal to half the length of one side of the polygon, which is s/2. Therefore, the apothem of the hexagon is r = s/2 = (P/6)/2 = P/12.Substituting these values into the formula for the area of the regular polygon, we get A = 1/2 × P × (P/12) = P²/24 square units.Subtracting the area of the regular polygon from the area of the circle, we get the area of the shaded region as follows:Shaded area = Area of circle - Area of regular polygon= 9π - P²/24 square units.To obtain an expression involving radicals or the trigonometric functions, we would need to know the number of sides of the regular polygon, which is not given. Therefore, we cannot provide such an expression. To obtain a calculator approximation rounded to three decimal places, we would need to know the value of P, which is also not given. Therefore, we cannot provide such an approximation.

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The 95% confidence interval for the population proportion in this problem is given as follows:

(0.467, 0.631).

This means that we are 95% confident that the population mean is between 0.467 and 0.631.

A confidence interval of proportions has the bounds given by the rule presented as follows:

\(\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}\)

In which the variables used to calculated these bounds are listed as follows:

The confidence level is of 95%, hence the critical value z is the value of Z that has a p-value of \(\frac{1+0.95}{2} = 0.975\), so the critical value is z = 1.96.

The parameters for this problem are given as follows:

\(n = 142, \pi = \frac{78}{142} = 0.549\)

The lower bound of the interval is given as follows:

\(0.549 - 1.96\sqrt{\frac{0.549(0.451)}{142}} = 0.467\)

The upper bound of the interval is given as follows:

\(0.549 + 1.96\sqrt{\frac{0.549(0.451)}{142}} = 0.631\)

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Answer:

aszdxcfgvhbjnk

Step-by-step explanation:

we can use the proportion: (Number of votes received by the candidate) / (Total number of votes) = 43% / 100%. the candidate received approximately 37.41 votes.

In the given local election, the candidate received 43% of the votes. To determine the number of votes they obtained, we need to use a proportion. A proportion is an equation that states that two ratios are equal.

Let's represent the number of votes received by the candidate as "x." The total number of votes cast in the election is stated as 87.

We can set up the proportion:

x / 87 = 43% / 100.

To solve for "x," we can cross-multiply:

100 * x = 43% × 87.

Simplifying further, we have:

x = (43/100) × 87.

By multiplying the fraction (43/100) by 87, we can determine the number of votes received by the candidate. Evaluating this expression, the candidate received approximately 37.41 votes.

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Answer:

Paranthesis, Exponents, Multipilication, Division, Addition, Subtraction

Step-by-step explanation:

The way I learned it was by saying a phrase that goes like, "Please Excuse My Dear Aunt Sally". I repeated this many times and it got stuck in my mind ever since.