Find the missing side

Answer:

-5

Step-by-step explanation:

(i^2) = -1 so -1 -1 + 3x = 3x - 2. If x = i^2 = -1, then 3x = -3. -3 - 2 = -5

Answer:

Step-by-step explanation:

x+y-22=-16

But x =-7

then

-7+y-22=-16

y-29=-16

y=-16+29

y=13

Answer: D, C, 18

Step-by-step explanation:

The first one is trigonometry. It takes a long time to calculate, but sin20 degrees=0.342, and 15/43.8 is about 0.342

From that, we get the answer as D.

The second one is a bit of guesswork and logic

Notice that the angle on the left is 24

The angle on the right is 45

24 is about one-half of 45

51/3=17

So the triangle on the left has sides x, 24, and approx. 17.

17^2=289 and 24^2=576

576-289 is about 17, but using our eyes, we see that it's clearly not the same, so we round to 21.9 or C (risky, but don't know how to solve, sorry)

Last one:

Form a triangle using the start of the zipline, the end of the zipline, and the balance point. This forms a right triangle with angles 72, 90, and (2)

The triangles angle add up to 180, and 180-90=90 and 90-72=18 so (2)=18.

Answer:

Step-by-step explanation:

In 30, 60, and 90 triangles, it includes sides with ratios 1, 2x, and xsqrt3 with 2x reflective of 90, xsqrt3 of 60, and 1 of 30.
So if 2x = 6, then x = 3 so 3sqrt3 = 5.19. Using the Pythagorean theorem we find that the last length is 3.
If xsqrt3 = 3, then x = sqrt3, angle reflective of 90 is 2sqrt3.

The term that  best describe this graph attached is

does not have an outlier

An outlier is a data point that significantly deviates from the general pattern or trend of a dataset. It is an observation that is noticeably different from other data points in terms of its magnitude or value.

Outliers can be either unusually high (positive outliers) or unusually low (negative outliers) compared to the rest of the data.

The graph is not exactly uniform even though it is not skewed

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The percentage of the seats that is filled is 39%.

A fraction or share of a whole is expressed as a percentage by dividing it by 100. It is a fundamental idea in arithmetic, finance, statistics, and daily life.

100% is a percentage that denotes the completeness or whole of something. A value is effectively represented as a piece or fraction of the entire when it is expressed as a percentage. "%" is the symbol for percentage.

We can see that the number of the filled seats would be;

1700 -  1037

= 663 seats

Percentage of the filled seats = 663/1700 * 100/1

= 39%

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Missing parts;

A middle school took all of its 6th grade students on a field trip to see a play at a theater that has 1700 seats. The students left 1037 seats vacant. What percentage of the seats in the theater were filled by the 6th graders on the trip?

No, based on the Shapiro-Wilk test, we cannot claim that the data on the pH of rain in Ingham County are normally distributed.

To determine if data on the pH of rain in Ingham County, Michigan are normally distributed, we will perform a statistical test of Shapiro-Wilk test to assess the deviation of the data from a normal distribution.

We will calculate test statistic (W) with Shapiro-Wilk formula: W = (Σaᵢbᵢ)² / (Σ(aᵢ)²) * (Σ(bᵢ)²)

Perform the necessary calculations to obtain the test statistic (W) and the p-value using statistical software or tables. The Shapiro-Wilk test results in a test statistic (W) of 0.956 and a p-value of 0.218.

Since the p-value (0.218) is greater than the commonly used significance level of 0.05, we fail to reject the null hypothesis. therefore, we reject the null hypothesis that the data are normally distributed.

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a. $456 would be the amount a customer could save during the first year by switching from Cable Zone to Super Vision.

b. Super Vision raises the rates 23% after a new customer's first year,  a customer who switched from Super Vision save $180 in the second year.

c. Super Vision raises the rates 18% for the third year compared to the second year, for the third year, Cable Zone would be cheaper.

a. To calculate how much a customer could save during the first year by switching from Cable Zone to Super Vision, we need to compare the costs of the two providers.

Cable Zone charges $46 for monthly home phone service, $36 for monthly Internet service, and $56 for monthly cable television. Therefore, the total cost per month with Cable Zone is:

$46 (home phone) + $36 (Internet) + $56 (cable television) = $138

Super Vision, on the other hand, offers all three services for a flat $100 monthly fee. So, the customer would save:

$138 (Cable Zone cost) - $100 (Super Vision cost) = $38 per month

Therefore, during the first year, the customer could save:

$38 (monthly savings) * 12 (number of months) = $456

b. After the first year, Super Vision raises the rates by 23%. The new monthly fee would be:

$100 (original fee) + 23% (rate increase) * $100 (original fee) = $123

To calculate the savings in the second year, we need to compare the new Super Vision fee to the cost with Cable Zone:

$138 (Cable Zone cost) - $123 (Super Vision cost) = $15 per month

Therefore, in the second year, the customer would save:

$15 (monthly savings) * 12 (number of months) = $180

c. If Super Vision raises the rates by 18% for the third year compared to the second year, we need to calculate the new monthly fee. The new Super Vision fee would be:

$123 (second-year fee) + 18% (rate increase) * $123 (second-year fee) = $145.14

To determine which company is cheaper for the third year, we compare the new Super Vision fee to the cost with Cable Zone:

$138 (Cable Zone cost) - $145.14 (Super Vision cost) = -$7.14

In this case, the Super Vision cost is higher than the Cable Zone cost by $7.14 per month. Therefore, for the third year, Cable Zone would be cheaper.

Overall, during the three-year period, the customer would save a total of $456 (first year) + $180 (second year) = $636 by switching to Super Vision.

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D 231 = 46w can be used to solve for w, the number of white eggs used last week.

Sebastian's basis in the two assets are: $42,389 and $66,611

The computation of the Sebastian's basis in these two assets is shown below:

= Market value of the first piece of equipment ÷ Total market value of two pieces of equipment × purchase value of two pieces of equipment

= ($76300 ÷ $(76300 + 119900)) × $109,000

= $42,389

= Market value of the second piece of equipment ÷ Total market value of two pieces of equipment × purchase value of two pieces of equipment

= ($119,900 ÷ $(76300 + 119900)) × $109,000

= $66,611

The Total market value of two pieces of equipment

= $(76300 + 119900)

= $196,200

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Answer:

Let's assume Tanner has "x" pants.

Given that Tanner has four times as many shirts as pants, he would have 4x shirts.

To find the number of different shirt and pants outfits, we multiply the number of pants by the number of shirts. In this case, it would be x * 4x = 4x^2.

According to the information provided, there are 100 different shirt and pants outfits. So we can set up the equation:

4x^2 = 100

To solve for x, we divide both sides of the equation by 4:

x^2 = 25

Taking the square root of both sides, we get:

x = ±5

Since we are dealing with the number of pants, which cannot be negative, we take the positive value:

x = 5

Therefore, Tanner has 5 pants.

The first train has 11 cars, the second train has 12 cars, and the third train has 13 cars.

The problem can be solved by finding the greatest common divisor (GCD) of the numbers of seats in each train.

Find the GCD of 418, 456, and 494. The greatest number that appears in all three lists is 2, meaning each car has 2 seats.

So, the number of cars in each train can be found by dividing the total number of seats by the number of seats per car:

First train:

= 418 seats / 38 seats per car

= 11 cars

Second train:

= 456 seats / 38 seats per car

= 12 cars

Third train:

= 494 seats / 38 seats per car

= 13 cars

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If f is a one-to-one function and g is the inverse of f, then (f°g)(x) = x and (g°f)(x) = x.

We have,

(f°g)(x) means applying the function f to the result of applying the function g to x.

Since g is the inverse of f, applying f to the result of applying g to x will give us back x.

(g°f)(x) means applying the function g to the result of applying the function f to x.

Since g is the inverse of f, applying g to the result of applying f to x will also give us back x.

In both cases, the compositions result in the original input value x.

Thus,

If f is a one-to-one function and g is the inverse of f, then (f°g)(x) = x and (g°f)(x) = x.

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Answer:

Thank you for saying I'm awesome I appreciate it :)

Step-by-step explanation:

The missing symbol in the equation 9x ____ = 3/2 + 3/2 + 3/2 is the equal sign =. The equation can be simplified to 9x = 9/2, which means that x = 1/2.

Stephanie has the longer room.

Here, we have,

given that,

Stephanie and Amanda measure the lengths of their room.

Stephanie's room is 4.4 m long

and Amanda's is 4410 mm long.

now, we need to find that who has the longer room.

we have,

we know that,

1000mm = 1m

so, as 1 m = 1000mm

then, 4.4m = 4400mm

now, we get

Stephanie's room is 4400mm long

and Amanda's is 4410 mm long

so, we get,

that, 4400> 4100

so, Stephanie has the longer room.

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Answer: 52

Step-by-step explanation:

Your question isn't complete. If Abby won 52 tickets, then she won 52 tickets. Please check your question and re type it. :)

Answer: 52-32=20

20 is naswer

Step-by-step explanation:

The value of m ∠ABC=86° ,because of the cyclic quadrilaterals.

Hence, Option (B) is correct.

Since, We know that,

A cyclic quadrilateral is a four-sided polygon whose vertices all lie on a common circle.

The opposite angles of a cyclic quadrilateral have a total of 180°.

Hence, We can formulate;

m ∠ABC +  m ∠ADC  = 180°

m ∠ABC + 94° = 180°

m ∠ABC = 180° - 94°

m ∠ABC = 86°

Similarly, one can find m∠DCB

m∠DAB +  m∠DCB  = 180°

99° + m∠DCB = 180°

m∠DCB = 180° - 99°

m∠DCB = 81°

Hence, m∠ABC = 86°

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Answer:

  3. see attached. Domain x > 1; Range all reals

  4. √15 ≈ 3.87298

Step-by-step explanation:

You want a graph and the domain and range of f(x) = 3log(2(x-1)) +4, and the value of (3x)^(x/10) when x satisfies 2^x -2^(x-1) = 16.

The function f(x) = 3log(2(x -1)) +4 represents horizontal and vertical scaling, as well as horizontal and vertical translation. The values in each case are different, so we can describe their effect by referencing their value.

1 — a horizontal right shift of the log function by 1 unit

2 — a horizontal compression of the log function by a factor of 2

3 — a vertical expansion of the log function by a factor of 3

4 — a vertical shift upward of the log function by 4 units.

Some points that you might graph for the parent log function would be (0.1, -1), (1, 0), (10, 1). The effect of these shifts is to transform them to ...

  (x, y) ⇒ (x/2 +1, 3y +4)

  (0.1, -1) ⇒ (1.05, 1)

  (1, 0) ⇒ (1.5, 4)

  (10, 1) ⇒ (6, 7)

The right shift 1 unit moves the domain to x > 1.

The range continues to be all real numbers.

We can solve the given equation as follows:

   2^x -2^(x -1) = 16

   2^(x-1) · (2 -1) = 16

  2^(x -1) = 2^4

  x -1 = 4

  x = 5

Then the expression you want the value of is ...

  (3·5)^(5/10) = 15^(1/2) = √15 ≈ 3.87298

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Answer:

(0, 3) and (3, 0)

Step-by-step explanation:

The question asks us to find the solutions to the following system of equations:

[tex]y = x^2 - 4x + 3[/tex]

[tex]y = -x + 3[/tex]

Therefore, as [tex]y = y[/tex], we can say:

[tex]x^2 - 4x + 3 = -x + 3[/tex],

and then solve for [tex]x[/tex]:

⇒ [tex]x^2 - 4x + 3 + x = 3[/tex]              [Adding x to both sides of the equation]

⇒ [tex]x^2 - 3x + 3 - 3 = 0[/tex]              [Subtracting 3 from both sides]

⇒[tex]x^2 -3x = 0[/tex]

⇒ [tex]x(x-3) = 0[/tex]                         [Factoring x out]

• [tex]x= \bf 0[/tex]  or

• [tex]x- 3 = 0[/tex]

⇒ [tex]x = \bf 3[/tex]

Now we can simply substitute the calculated values of x into any of the given equations to find the respective values of y.

Substituting into the equation [tex]y = -x + 3[/tex] :

• when [tex]x = 0[/tex] ⇒ [tex]y = -(0) +3 = \bf 3[/tex]

• when [tex]x = 3[/tex] ⇒ [tex]y = -(3) + 3 = \bf 0[/tex]

Therefore, the solutions to the given set of equations are (0, 3) and (3, 0).

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The simplification of the equation (5x²+x-3)-(-2x³+4) will be 2x³ + 5x² + x - 7.

Simplification refers to the technique of lowering an expression, equation, or mathematical problem to a less difficult or extra concise form.

It includes applying mathematical rules and operations to remove unnecessary phrases, combine like phrases, and decrease complexity.

To simplify the expression (5x² + x - 3) - (-2x³ + four), we will distribute the bad sign inside the parentheses:

(5x² + x - 3) - (-2x³ + 4) = 5x² + x - 3 + 2x³ - 4

5x² + x - 3 + 2x³ - 4 = 2x³ + 5x² + x - 7

Therefore, the simplified form of the expression is 2x³ + 5x² + x - 7.

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The given equation is 4, [tex]x^2[/tex]+4x+[tex]y^2[/tex]-9y=12 as circle with centre (-2, 9/2) and radius sqrt (13).

The given equation is 5, [tex]x^2[/tex]+18x+[tex]y^2[/tex]=12  a circle with centre (-9, 0) and radius sqrt (13).

The given equation is 6, [tex]x^2[/tex]-8x+[tex]y^2[/tex]-6y = 0 a circle with centre (4, 3) and the radius is 5.

To see this, we can rewrite the equation as [tex](x+2)^2 + (y-9/2)^2[/tex] = 13. This equation represents a circle with centre (-2, 9/2) and radius sqrt (13).

To see this, we can rewrite the equation as [tex](x+9)^2 + y^2 = 13[/tex]. This equation represents a circle with centre (-9, 0) and radius sqrt (13).

The standard form of the equation of a circle is [tex](x-h)^2 + (y-k)^2 = r^2[/tex] where (h, k) is the centre of the circle and r is the radius. Therefore, the centre of the circle is (4, 3) and the radius is 5.

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16 cubic meters of cement is needed to build the monument.

The figure has a cuboid and two triangular prisms.

Volume of cuboid is length times width times height.

Volume = 4×4×0.5

=8 cubic meters.

Volume of prism =Bh

B is area of base.

Base edge is pf 2m.

Area of base is 2×2=4 m

Now Volume =4×1 where 1 is height of the prism.

Volume =4 cubic meters.

As there are two prisms , the volume is 2×8 cubic meters.

Total volume =8+8=16 cubic meters.

Hence, 16 cubic meters of cement is needed to build the monument.

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The correct option is target population.

In this situation, the 65 students would be considered Maria's sample.

A sample refers to a subset of individuals or elements that are selected from a larger population for the purpose of conducting a study or research.

The sample is typically chosen in a way that is representative of the larger population, allowing researchers to make inferences and draw conclusions about the population based on the data collected from the sample.

In Maria's case, she randomly selected 65 students from the list of students at Central Piedmont Community College.

These 65 students represent her sample, which she will ask to fill out her questionnaire.

By collecting data from this sample, Maria aims to gain insights into how students at the college balance academics and family commitments.

It's worth noting that the term "target population" refers to the entire group of individuals or elements that a researcher wants to study and make inferences about.

In this case, the target population would be all students at Central Piedmont Community College.

The sample (65 students) is drawn from this larger target population to represent it.

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Step-by-step explanation:

To determine how many weeks it took for Tom to have 15 cards collected, we need more information about the growth rate of his collection. The given information states that by week 5, Tom had collected 12 cards, but it doesn't provide details about the rate of card collection.

If we assume that Tom's card collection grows at a constant rate, we can calculate the rate of card collection per week using the given information. By week 5, Tom had collected 12 cards. This means that on average, he collected 12/5 = 2.4 cards per week up to that point.

Using this average rate, we can estimate how many weeks it would take for Tom to have 15 cards collected. We'll divide the total number of cards (15) by the average rate of card collection (2.4 cards per week):

15 cards / 2.4 cards per week ≈ 6.25 weeks.

Therefore, it would take approximately 6.25 weeks (or 6 weeks and 3 days) for Tom to have 15 cards collected, assuming a constant growth rate.

Volume of the cone is 153.86 cubic centimeters with radius is 3.5 cm and height of 12cm

We have to find the volume of the cone which has height of 12 cm and radius is 3.5 cm.

Volume of cone =1/3πr²h

Where r is the radius and h is height.

Plug in the value of r and h in the formula.

Volume =1/3×3.14×3.5²×12

=461.58/3

=153.86 cubic centimeters.

Hence, volume of the cone is 153.86 cubic centimeters.

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Answer:

4 sides

It is a Quadrilateral