the expression 1350(1.05)^t models the average wages, in dollar, in the us as a function of the number of years since 1930. what does 1.05 represent in this expression.​

1) Since the sum of interior angles yields 180º, no matter which type of triangle it is.

2) Then we can write

3x+12 +x +6x +8 = 180

10x +20 = 180º

10x = 180-20

10x = 160

x= 16

2.2 Let's find out the measurement of each angle

m∠ A= x Plug into that the value of x

m∠ A = 16º

m∠B= 3x+12 Plug into that the value of x

m∠B = 3(16) +12

m∠B = 48+12

m∠B =60

3) Then the answers are:

x = 16

m∠ A = 16º

m∠B =60

The equation of parabola that open upwards with focus 6 units is x²=24y.

A parabola is a plane curve which is mirror symmetrical and is approximately U-shaped. A parabola is a curve where any point at an equal distance from a fixed point  (the focus) and a fixed straight line (the directrix).

A curve formed by the intersection of a cone with a plane parallel to a straight line in its surface is also Parabola.

The general equation of Parabola is given by

y = a(x-h)²+ k

where (h,k) is the vertex of parabola.

And the equation of parabola open upward is,

(x-h)² = 4a(y-k)

where (h,k) is vertex and a is focus unit.

⇒ (x-0)² = 4(6)(y-0)

⇒ x² = 24y

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Answer:

25 new cans

Step-by-step explanation:

Given that:

Number of aluminum cans needed to make a new can = 5

total number of aluminum cans = 125

Number of new cans that can be made :

Total number of aluminum cans / aluminum cans needed to make a new can

= 125 / 5

= 25 new cans

Answer:

1/6 = 0.167 or 16%

Step-by-step explanation:

Okay, so to go from a fraction to a decimal, you really just have to put the dot in the right place:

1/6 = 0.167 (rounded)

So 1/6 is 0.167 as a decimal

So to find the percentage:

0.167 x 10 = 16.7

So 1/6 is 16.7%

hope this helps:)

Answer:

Decimal: 0.166666667

Percent: 16.6666667%

Step-by-step explanation:

First a decimal:

Divide 1 ÷ 6: 0.166666667

Now a percent, to convert decimals to percents multiply them by 100 and add the percent sign:

0.166666667 ⋅ 100 = 16.6666667%

Two crucial tasks inherent in the initial stage of group therapy are orientation and establishing group norms.Ambiguity and lack of a structured approach in groups often lead to confusion, inefficiency, and potential challenges.

Orientation involves providing essential information to group members about the purpose, goals, and guidelines of the therapy group.

It helps individuals understand what to expect, builds trust, and creates a sense of safety and predictability within the group. Orientation may include discussing confidentiality, group rules, expectations, and addressing any questions or concerns.

Establishing group norms involves collaboratively developing shared guidelines and expectations that govern the behavior and interactions within the group. This process allows group members to contribute to the creation of a supportive and respectful group climate. Group norms help set boundaries, encourage open communication, and foster a sense of cohesion among members.

Without clear structure and guidance, group members may struggle to understand their roles, goals, or the process of the group therapy. Ambiguity can hinder progress, create frustration, and impede meaningful communication.

Lack of structure may also result in difficulty managing conflicts, decision-making, or time management within the group. It can lead to unequal participation, power struggles, and a lack of accountability.

To address these issues, it is important for group therapy to provide a clear framework, establish ground rules, and facilitate structured activities or interventions that promote clarity, engagement, and progress. A structured approach helps create a supportive environment, enhances group dynamics, and maximizes the therapeutic benefits of the group process.

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Answer:

-2x-5

Step-by-step explanation:

By distributing the -2 to the x+10 we get, "-2x-5". This is our final simplified answer.

Answer:

−2

Answer: |t - 15| ≤ 30 ; -30 ≤ t - 15 ≤ 30

Step-by-step explanation:

To set up the equation, we have to find the center, and the tolerance, so that we can use formula "|x - c| ≤ t"

First, we can find the tolerance by adding both number, then dividing by 2 --> -15 + 45 = 30 --> 30/2 = 15, so we now know that the center is 15

Next, we can find the tolerance by finding the distance between the center and one of the number --> 15 - (-15) = 30, so we now know that the tolerance is 30

Now we can set up our equation,

center (c) = 15

tolerance (t) = 30

|t - 15| ≤ 30

Now that we have our equation, we can set up the inequality

|x - c| ≤ t = -t ≤ x - c ≤ t

so,

-30 ≤ t - 15 ≤ 30

Hope this helps!

(sorry it was so long)

The formula to find the radius (r) of a circle when you know the circumference (C) is r = C/(2π).

The formula presented derived from the formula for the circumference of a circle, which is C = 2πr. By rearranging the equation and isolating the radius (r) on one side, we get r = C/(2π).

So, if the circumference (C) of a circle is 18 centimeters, you can use the formula r = C/(2π) to find the radius (r). Plugging in the given value for the circumference (C), we get:

r = 18/(2π)

Simplifying the equation gives:

r = 9/π

Therefore, the radius (r) of the circle is 9/π centimeters.

In conclusion, the formula you can use to find the radius (r) of a circle when you know the circumference (C) is r = C/(2π).

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Answer:

what do you need help with?

The lateral area of the prsim is 140 sqaured centimeters.

A prism is simply a three-dimensional solid shape which has six faces that are rectangles.

The lateral area of a prism is expressed as;

Lateral area = 2( l + b )h

Where b is the breadth, h is height and l is length

From the image:

Length l = 5 cm

Breadth b = 5 cm

Height h = 7 cm

Plug these values into the above formula and solve for the lateral area.

Lateral area = 2( l + b )h

Lateral area = 2( 5 cm + 5 cm ) × 7 cm

Lateral area = 2( 10 cm ) × 7 cm

Lateral area = 20 cm × 7 cm

Lateral area = 140 cm²

Therefore, the lateral area is 140 cm².

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Answer:

1.5

I hope it will be useful.

The experimental result with a p-value of 0.03 suggests that there is some evidence to support the existence of extrasensory perception.

The p-value of 0.03 indicates that the likelihood of obtaining the observed result, assuming no true effect (i.e., no extrasensory perception), is 3%. This result is below the conventional threshold of 0.05, which means it can be considered statistically significant. The experimenter's repeated attempts to obtain a significant result demonstrate persistence in exploring the phenomenon.

However, it's important to note that a p-value of 0.03 does not prove the existence of extrasensory perception conclusively. The significance level chosen (0.05) represents the threshold at which researchers are willing to accept the possibility of observing a result due to chance alone. A p-value of 0.03 indicates that the observed result is unlikely to be due to chance alone, but it does not provide absolute proof.

To establish the existence of extrasensory perception, further replication of the experiment is necessary. Independent researchers should attempt to replicate the findings to determine if they can obtain similar results. Additionally, conducting more rigorous experiments with appropriate control groups and larger sample sizes can help strengthen the evidence. Scientific consensus is generally reached when multiple independent studies consistently yield significant results supporting a particular phenomenon.

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Answer:

Easy peasy, the volume is 24!

3 x 4 ÷ 2 = 6

3 x 4 ÷ 2 = 6.

6 x 3 = 18.

18+ 6 = 24

Answer:

it is 24 24ft³

Step-by-step explanation:

it is also correct on illuminate

\(\bf Step-by-step~explanation:\)

If Ava has 34 candy bars, and each box can hold 5 bars, then we need to find out how many boxes that are filled up.

\(\bf Step~1:\)

Divide the number of candy bars (34), by the number each box can hold (5)

\(\bf\frac{34}{5}=6.8\)

Since we cannot have 6.8 boxes, we have to round down to 6.

\(\boxed{\bf Our~final~answer:~6~boxes}\)

\(\bf Check~our~answer:\)

To check our answer, we multiply the number of boxes (6), by the number of bars in each box (5), to get 30. We add Ava's extra bars (4), and we get the number we started off with: 34. This proves our answer is correct!

Answer:

5,5

Step-by-step explanation:

That's the answer.

.

Answer:

A -10,15

Step-by-step explanation:

The values in the result of the division operation, 7 ÷ 6 are as follows;

The quotient = 12

The remainder = 4

Please find attached the diagram with the correct values in the boxes created with MS Word

The quotient is the result following the complete division by the devisor. The remainder is the part of the dividend yet to be divided by the divisor.

The division operation is 76 ÷ 6

The quotient is the integer value obtained following the division operation of 76 by 6 which is 12 times. Therefore, the quotient is 12

The values in each box are therefore;

The value at the top left box, is 10

The value in the box below 2 and to the right of 60 is 12

The value outside to the top right of the rectangle is the remainder

The remainder is the difference between the dividend and the product of the quotient and the divisor as follows;

Remainder = 76 - 12 × 6 = 4

The remainder is 4

Please find attached a drawing of the figure, created with MS Word, showing the values that are to be placed in the boxes

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Answer:

5√3

Step-by-step explanation:

tan30= 5/z

1/√3= 5/z

z= 5√3

The U.S. Drought Monitor is a tool that provides a visual representation of drought conditions across the United States.

It classifies drought intensity into five categories: Abnormally Dry (D0), Moderate Drought (D1), Severe Drought (D2), Extreme Drought (D3), and Exceptional Drought (D4).

To answer questions related to the drought monitor, you would typically refer to the most recent data and map provided by the U.S. Drought Monitor. The data includes information on drought conditions, such as the extent and severity of drought in different regions.

When providing numeric responses based on the drought monitor, you would typically use the appropriate units for the specific metric being discussed, such as inches for precipitation or percentage for soil moisture levels.

Please refer to the most recent data and resources available from the U.S. Drought Monitor for accurate and up-to-date information on drought conditions.

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Answer:

one is radius and the other is chord

Step-by-step explanation:

Answer:

4 - 6

Step-by-step explanation:

3^4=81

9^2=81

Therefore, the maximum blood pressure of 200 mmHg occurs at approximately 0.524 seconds, and the minimum blood pressure of 120 mmHg occurs at approximately 1.571 seconds within the time interval 0 ≤ t ≤ 0.75.

To find the maximum and minimum values of the blood pressure function p(t), we need to examine the behavior of the sinusoidal term, -40sin(3t), within the given time interval. The function is a sine wave with an amplitude of 40 and a period of 2π/3. This means that the maximum value occurs at the peak of the sine wave (amplitude + offset), and the minimum value occurs at the trough (amplitude - offset).

The maximum blood pressure corresponds to the peak of the sine wave, which is 40 + 160 = 200 mmHg. To find the time at which this occurs, we set the argument of the sine function, 3t, equal to π/2 (since the peak of the sine wave is π/2 radians). Solving for t gives t = (π/2) / 3 = π/6 ≈ 0.524 seconds.

Similarly, the minimum blood pressure corresponds to the trough of the sine wave, which is -40 + 160 = 120 mmHg. Setting the argument of the sine function equal to 3π/2 (the trough of the sine wave), we find t = (3π/2) / 3 = π/2 ≈ 1.571 seconds.

Therefore, the maximum blood pressure of 200 mmHg occurs at approximately 0.524 seconds, and the minimum blood pressure of 120 mmHg occurs at approximately 1.571 seconds within the time interval 0 ≤ t ≤ 0.75.

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The probability that Z lies between 0.7 and 1.98 is 0.2181.

To find the probability that Z lies between 0.7 and 1.98, we need to calculate the area under the standard normal distribution curve between those two values.

Using a standard normal distribution table or calculator, we can find the area to the left of 0.7 (or the probability that Z is less than 0.7) to be 0.7580. Similarly, the area to the left of 1.98 is 0.9767.

To find the area between the two values, we can subtract the smaller area from the larger area:

0.9767 - 0.7580 = 0.2187

Since we want the probability that Z lies between the two values, we can round this to 0.2181, which is closest to answer choice D.

Therefore, the answer is D. 0.2181.

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Answer:

The Isosceles Triangle Theorem States that if a triangle contains 2 congruent sides, then the angles opposite those sides are congruent. This theorem can be proved using the Law of Sines: The Law of Sines states that: asinA=bsinB=csinC If a=c, making △ABC an isosceles triangle, then asinA=asinC!

Step-by-step explanation:

the surface areas are always the sum of the areas of the individual sides and base area.

so, all we need to do here is calculating the areas of triangles, rectangles (actually squares) and a hexagon.

the area of a triangle is

baseline × height / 2

or with Heron's formula when we have all sides

s = (a+b+c)/2

area = sqrt(s×(s-a)×(s-b)×(s-c))

the area of a rectangle is

length × width

for a square that is then

side × side = side²

and the area of a regular hexagon can be created again as sum of multiple sub-shapes. but ultimately it is

3 × sqrt(3) × side² / 2

1.

square base area : 10×10 = 100 cm²

lateral areas :

one triangle is 10×13/2 = 65 cm²

4 triangles are then 4×65 = 260 cm²

total surface area :

100 + 260 = 360 cm²

2a.

3 lateral triangles :

3 × 8×10/2 = 120 units²

base area (Heron's, as all 3 sides are 8 units) :

s = 3×8/2 = 12

area = sqrt(12×4×4×4) = sqrt(3×4×4×4×4) = 16×sqrt(3)

total surface area :

120 + 16×sqrt(3) = 147.7128129... units²

2b.

4 lateral triangles :

4 × 8×10/2 = 160 units²

base area : 8×8 = 64 units²

total surface area :

160 + 64 = 224 units²

2c.

6 lateral triangles :

6 × 8×20/2 = 480 units²

base area :

3×sqrt(3)×8²/2 = 96×sqrt(3)

total surface area :

480 + 96×sqrt(3) = 646.2768775... units²

2d.

base area : 16² = 256 units²

4 lateral triangles. but we need to get their height first.

Pythagoras :

(16/2)² + 24² = height²

8² + 24² = height²

64 + 576 = height²

height² = 640

height = sqrt(640) = sqrt(64×10) = 8×sqrt(10)

4 triangles are

4 × 16×8×sqrt(10)/2 = 256×sqrt(10) units²

total surface area :

256 + 256×sqrt(10) = 256×(1 + sqrt(10) = 1,065.543081... units²

Step-by-step explanation:

To find the z-value corresponding to a significance level of 0.1388 in a two-tailed test, we need to find the critical values for the test.

Assuming a normal distribution, we can use a standard normal distribution table or calculator to find the critical values.

The significance level for a two-tailed test is split equally between both tails. Therefore, we need to find the z-value that corresponds to a tail area of (1 - 0.1388)/2 = 0.4306.

Using a standard normal distribution table or calculator, we can find that the z-value that corresponds to a tail area of 0.4306 is approximately 1.761.

Therefore, the z-value corresponding to a significance level of 0.1388 in a two-tailed test is +/- 1.761.

Answer:

Your answer is

31.17

Mark my answer as brainlist . I need that urgently . Folow me for more answer.

Step-by-step explanation:

The value of x in the triangle is 17.

The exterior angle theorem states that the measure of an exterior angle is equal to the sum of the measures of the two remote interior angles of the triangle.

Using the exterior angle theorem, we can find the value of x in the triangle as follows:

m∠BHY = (2x + 7)°

m∠HBY = (8x - 18)°

m∠NYB = (4x + 91)°

Therefore,

2x + 7 + 8x - 18 = 4x + 91

10x - 11 = 4x + 91

10x - 4x = 91 + 11

6x = 102

divide both sides by 6

x = 102 / 6

x = 17

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So the answer is 1.3 after rounding to 10.