Pls help me with my work ( ◠‿◠ )

Answer:

133$

Step-by-step explanation:

The formula in finding the distance between two points is given below:

Now, you know the distance formula. So, let us try solving the given problem using the distance formula.

Problem: What is the distance between A(-3, 5) and B(8, 1)?

From inspection on the given problem:

Substitute the given values into the distance formula and solve for AB:

Therefore, the distance between two points is 11.7 units.

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Now, wasn't that easy? Try this sample problem:

From the sample problem above, you may solve it on your own to enhance your skill on calculating the distance.

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Step-by-step explanation:

In triangles BAD and BCD ,

BD=BD (common)

angle BDA= angle BCD {90°each(given)}

AD=DC (given)

.•. traingle BAD is congruent to triangle BCD (SAS criterion)

Hence , angle A = angle C (CPCT)

Answer:

Annalise is correct because the outputs are closest when x = 1.35

Step-by-step explanation:

The solution to the equation 1/(x-1) = x² + 1 means the one x value that will make both sides equal. If we look at the table, notice how when x = 1.35, f(x) values are closest to each other for both equations, signifying that x = 1.35 is approximately the solution. Thus, Annalise is correct.

The division of the two numbers in scientific notation 5.07 × 10⁹ ÷ 1.087 × 10⁻⁴ is 4.664 × 10¹³

Scientific notation is a means in which we use to represent numbers based on a standard measure.

In this problem, we have to perform a mathematical operation with two numbers expressed in scientific notation.

To divide 5.07 × 10⁹ by 1.087 × 10⁻⁴;

We need to divide 5.07 by 1.087

The result given is 5.07 ÷ 1.087 = 4.664

The second step is to note that when 10⁹ ÷ 10⁻⁴,

Using law of indices, it becomes 10⁹ ÷ 10⁻⁴ = 10⁽⁹⁺⁴⁾ = 10¹³

We can now rewrite our answer as

5.07 × 10⁹ ÷ 1.087 × 10⁻⁴ = 4.664 × 10¹³

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Answer:

The height of the lightpost is 33.008 feet

Step-by-step explanation:

Refer the attached figure

Distance between lamp post and person = AB = 40 feet

Height of person = BC = 5 feet

The angle of elevation = ∠DCE =35°

Height of light post = AD

AB=CE=40 feet

In ΔDCE

\(\frac{Perpendicular}{Base}=Tan \theta \\\frac{DE}{CE}=tan 35^{\circ}\\\frac{DE}{40}=tan 35^{\circ}\\DE=40 \times tan 35^{\circ}\\DE=28.008\)

Height of light post = AD=DE+AE=28.008+5=33.008

Hence the height of the lightpost is 33.008 feet

Answer:

Q) (-2, 2)

V) (2, 2)

Step-by-step explanation:

Answer:

Yes. Remember that congruent means same shape and the size of length.

Step-by-step explanation:

Flip the second model and jt will be the same as the first. Congruence is that.

Answer:

Yes

Step-by-step explanation:

The borders are congruent by measure

According to Zaller's Receive-Accept-Sample (RAS) model, individuals who are most susceptible to the message of a political action committee launching a new advertisement aimed at expanding health insurance to low-income Americans through increased government funding would be those who both receive and accept the message.

The RAS model suggests that individuals have varying levels of political knowledge and are exposed to different sources of information. Those who are more likely to receive the message are individuals who are politically interested and engaged, while those who are more likely to accept the message are individuals who have limited political knowledge and are less critical of the information presented to them.

Therefore, in the context of the advertisement aiming to expand health insurance to low-income Americans, the most susceptible individuals would be those who are politically interested but have limited political knowledge. These individuals may be more likely to accept the message without critically evaluating its content.

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Answer:

y = 2x – 1

Step-by-step explanation:

When x=0, y = -1

When y=0, x = 0.5

The correct answer is a. H0: u≥2 hours and H1:u<2 hours. When testing a right-tailed hypothesis using a significance level of 0.025, a sample size of n=13, and with the population standard deviation unknown, the critical value is as follows:

To determine the critical value, we need to use the t-distribution since the population standard deviation is unknown.

Using a t-distribution table or calculator with 12 degrees of freedom (n-1), a one-tailed test, and a significance level of 0.025, the critical value is 2.1604.

If the test statistic is greater than or equal to this value, we can reject the null hypothesis in favor of the alternative hypothesis, which is a right-tailed hypothesis.

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Answer: Option 4 - 1440

Step-by-step explanation:

2 Square Sides : Take 12 times 12 and times by two for both sides.

12 x 12 = 144     144 x 2 = 288

4 rectangular sides : The multiplication of 12 times 24

12 x 24 = 288    288 x 4 = 1152

Added All Together : 288 + 1152 = 1440

The measure of angle x is 70°.

Here we have the image of some triangles, and we want to find the value of the interior angle x in the left triangle.

What you need to remember here is that the sum of the interior angles of any triangle is always equal to 180°.

Then, for the left triangle, we can write:

30° + 80° + x° = 180°

Now we can solve that equation for x, then we will get:

x° = 180° - 80° - 30°

x = 70°

That is the measure of angle x.

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The solution to the given differential equation 4y'' + 36y' + 77y = 0 with initial

conditions y₁(0) = 1 and y₁'(0) = 0 is:

y₁(t) = e^(-9t/2) * (cos((3√7)t/2) + (9/√7)sin((3√7)t/2))

The solution to the same differential equation with initial conditions y₂(0) = 0 and y₂'(0) = 1 is:

The given differential equation is a second-order linear homogeneous equation with

constant

coefficients. To find the solutions, we assume a solution of the form y = e^(rt), where r is a constant. Substituting this into the differential equation, we get a characteristic equation:

4r² + 36r + 77 = 0

Solving this quadratic equation, we find two distinct roots: r₁ = -9 + (3√7)i and r₂ = -9 - (3√7)i.

Since the roots are complex, the general solution can be expressed as a linear combination of complex exponentials multiplied by real functions:

y(t) = c₁e^(r₁t) + c₂e^(r₂t)

Using Euler's formula, we can rewrite the complex exponentials as sine and cosine functions:

y(t) = c₁e^(-9t/2) * (cos((3√7)t/2) + (9/√7)sin((3√7)t/2)) + c₂e^(-9t/2) * (sin((3√7)t/2) - (3/√7)cos((3√7)t/2))

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The answers are a rhombus, bisect a pair of opposite angles, and SAS congruency postulate respectively.

A rhombus is a two-dimensional shape having four parallel opposite pairs of straight, equal sides. This shape resembles a diamond and is what you'd find on a deck of cards to represent the diamond suit. Rhombuses can be encountered in a variety of common situations.

We have a rhombus shown in the picture.

The intersection point is P

From the definition of the rhombus: JK ≅ KM

According to the SAS congruency postulate, two triangles are congruent if a triangle has two sides and an included angle that are congruent to the two sides and an included angle of another triangle.

Thus, the answers are a rhombus, bisect a pair of opposite angles, and SAS congruency postulate respectively.

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If you want to have at least a 95% chance of winning, you should ask for 21 flips.

In order to have at least a 95% chance of winning, we need to calculate the number of flips needed to achieve this probability. Let's call this number N. We can use the binomial distribution formula to calculate the probability of getting a certain number of heads in N flips:

P(X = k) = (N choose k) * p^k * (1-p)^(N-k)

Where p is the probability of getting heads, k is the number of heads, and N is the total number of flips.

We want to find the smallest value of N such that P(X >= N/2) >= 0.95. This means that we want the probability of getting at least N/2 heads to be greater than or equal to 95%.

Since we are dealing with two different coins, we need to consider the probability of getting at least N/2 heads for both the fair coin and the biased coin. Let's call these probabilities P1 and P2, respectively.

For the fair coin, p = 0.5, so we have:

P1 = P(X >= N/2) = sum_{k=N/2}^{N} (N choose k) * 0.5^k * 0.5^(N-k)

For the biased coin, p = 2/3, so we have:

P2 = P(X >= N/2) = sum_{k=N/2}^{N} (N choose k) * (2/3)^k * (1/3)^(N-k)

We want to find the smallest value of N such that P1 >= 0.95 and P2 >= 0.95. We can use a computer program to calculate these probabilities and find the smallest value of N that satisfies these conditions. The result is N = 21.

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A result of 2 = 7 - = 7 - (-5) = 12 and = -5 is as follows as after combining similar terms , (2-μ)a + (u+1).

A vector seems to be an object in mathematics that also has scale (or length) and motion. Arrows can be used to graphically depict vectors, with the arrow's trajectory denoting the vector's magnitude and its length denoting its direction. In order to construct a new vector with the a different magnitude but the same direction, vectors can be multiplied by a scalar (a real number) or joined together to make a resultant vector (or the opposite direction if the scalar is negative).

given

First, we can make the given equation simpler:

(2-μ)a + (u+1)

b = 7a - (2+2)b

2a - a + ub + + + b = 7a - 2b - 2b

combining similar terms

(2-μ)a + (u+1)

b = 7a - 4b

We currently have two equations:

2 - μ = 7 (1)

u + 1 = -4 (2) (2)

Equation (2) provides us with:

u = -5

Equation (1) is amended as follows:

2 - μ = 7

μ = -5

A result of 2 = 7 - = 7 - (-5) = 12 and = -5 is as follows as after combining similar terms , (2-μ)a + (u+1).

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The complete question is:-  

The vectors a and b are not parallel and (2-μ)a + (u + 1)b = 7a-(2+2)b where λ and μ are scalars. Find the values of 2 and μ.

The 98% confidence interval for the difference between the mean speeds of Processor A and Processor B is approximately (-4.14, 3.64) seconds.

To find a 98% confidence interval for the difference between the mean speeds of Processor A and Processor B, we can perform a paired t-test. The paired t-test compares the means of two related samples.

First, calculate the differences between the speeds of Processor A and Processor B for each code:

Code Difference (A - B)

1 22.1 - 25.8 = -3.7

2 18.5 - 15.3 = 3.2

3 23.3 - 21.7 = 1.6

4 16.0 - 23.5 = -7.5

5 28.3 - 24.7 = 3.6

6 22.2 - 24.1 = -1.9

Next, calculate the mean and standard deviation of these differences:

Mean (μd) = (-3.7 + 3.2 + 1.6 - 7.5 + 3.6 - 1.9) / 6 = -0.25

Standard Deviation (sd) = √[(∑(di - μd)^2) / (n - 1)] = √[(32.1) / (6 - 1)] ≈ 2.83

Now, calculate the standard error of the mean difference (SE) using the formula:

SE = sd / √n = 2.83 / √6 ≈ 1.155

To find the 98% confidence interval, we need to calculate the margin of error (ME):

ME = t * SE

Here, we need the t-value for a 98% confidence interval with (n-1) degrees of freedom. Since n = 6, the degrees of freedom is 6 - 1 = 5.

Using a t-table or calculator, we find the t-value for a 98% confidence interval with 5 degrees of freedom is approximately 3.365.

ME = 3.365 * 1.155 ≈ 3.886

Finally, we can construct the confidence interval:

98% Confidence Interval = (μd - ME, μd + ME)

= (-0.25 - 3.886, -0.25 + 3.886)

= (-4.136, 3.636)

Therefore, the 98% confidence interval for the difference between the mean speeds of Processor A and Processor B is approximately (-4.14, 3.64) seconds.

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In this triangle, the product of tan A and tan C is `(BC)^2/(AB)^2`.

The given triangle ABC has angle A measuring 45 degrees, angle B measuring 90 degrees, and angle C measuring 45 degrees , Answer: `(BC)^2/(AB)^2`.

We have to find the product of tan A and tan C.

In triangle ABC, tan A and tan C are equal as the opposite and adjacent sides of angles A and C are the same.

So, we have, tan A = tan C

Therefore, the product of tan A and tan C will be equal to (tan A)^2 or (tan C)^2.

Using the formula of tan: tan A = opposite/adjacent=BC/A Band, tan C = opposite/adjacent=AB/BC.

Thus, tan A = BC/AB tan C = AB/BC Taking the ratio of these two equations, we have: tan A/tan C = BC/AB ÷ AB/BC Tan A * tan C = BC^2/AB^2So, the product of tan A and tan C is equal to `(BC)^2/(AB)^2`.

Answer: `(BC)^2/(AB)^2`.

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Answer:

111

Step-by-step explanation:

Multiply the number by two and then add the number right before it.

3*2+2=8

8*2+3=19

19*2+8=46

46*2+19=111

and so on.

Answer:

(y+x)+8

it is expressed like that i think

Answer:

(Y+x)+8

Step-by-step explanation:

The statement is true about the temperature of the soup over time is

As time increases, the temperature of the soup approaches 72 °F.

We have,

Time in min     5                 10          20         30        45         60        80

temperature  139.503, 109.047, 83.158, 75.361, 72.556, 72.092, 72.008

(in Fahrenheit)

Here from the table we can see that the time in increasing and the temperature is dropping till 72.008 F.

A. As time increases, the temperature of the soup approaches 80 °F.

False

B. As time increases, the temperature of the soup approaches 70 °F.

False

C. As time increases, the temperature of the soup approaches 0 °F.

False

D. As time increases, the temperature of the soup approaches 72 °F.

True

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West Moreland is -157 ( below sea level would be a negative value)

Dallas is 430 above

-157 to sea level is 157 feet

Sea level to 430 is 430 feet

Total distance = 157 + 430 = 587 feet.

Answer:

587 feet

Westmoreland is 157 feet below the sea level.

This is a negative number, so add 157 to get to 0.

Dallas is 430 above sea level.

Add 430 and 157. You get 587.

Hope it helps!

Answer:

A. X values

Step-by-step explanation:

The y-values of all points in this interval are "one". Using interval notation, it is described as constant on the interval (-2,1). Intervals of increasing, decreasing or constant ALWAYS pertain to x-values.

The percentage change in the bond's price using the duration concept is approximately 0.03645, or 3.645%.

To calculate the percentage change in the bond's price using the duration concept, we can use the following formula:

Percentage Change in Bond Price = - (Duration * Change in Yield)

Given:

Duration = 7.29 years

Change in Yield = -0.005 (50 basis points decrease)

Using the formula, we can calculate the percentage change in the bond's price:

Percentage Change in Bond Price = - (7.29 * (-0.005))

Percentage Change in Bond Price = 0.03645

Therefore, the percentage change in the bond's price using the duration concept is approximately 0.03645, or 3.645%.

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Amount of paint to paint whole monument = 6 gallons

Area is the amount of space occupied by a two-dimensional shape. That is, it is a quantity that measures the number of unit squares that cover the surface of a closed figure. The standard unit of area is the square unit, commonly expressed in square inches, square feet, and so on.

Given,

One gallon of pain can cover 273 ft².

By the figure,

Height of the rectangular sides = 22 ft

Width of the rectangular sides = 14 feet

surface area of side = length × width

A = 22 × 14

A = 308 ft²

There are four sides in the monument

Surface area = 4 × 308

Surface are = 1232 ft²

height of one triangular side = 10 feet

Base of triangular side = 14 feet

Surface area of one triangular side = 1/2 × height × base

a = 1/2 × 10 × 14

a = 70 ft²

Surface area of all four sides of monument = 4 × 70

Surface area = 280 ft²

Total surface area of the building = 280 + 1232

Total Surface area = 1512 ft²

Then, amount of paint used to paint whole monument = 1512/273

Amount of paint = 5.53 ≈ 6 gallons

Hence 6 gallons of paint will be used to paint whole monument.

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Given statement solution is :- a) Power set for two sets A and B with any 2 elements:

Set A: {1, 2}, Set B: {3, 4}

Power set of A: {{}, {1}, {2}, {1, 2}}

Power set of B: {{}, {3}, {4}, {3, 4}}

b) Power set for two sets A and B with any 3 elements:

Set A: {1, 2, 3}, Set B: {4, 5, 6}

Power set of A: {{}, {1}, {2}, {3}, {1, 2}, {1, 3}, {2, 3}, {1, 2, 3}}

Power set of B: {{}, {4}, {5}, {6}, {4, 5}, {4, 6}, {5, 6}, {4, 5, 6}}

c) Power set for two sets A and B with any 4 elements:

Set A: {1, 2, 3, 4}, Set B: {5, 6, 7, 8}

Power set of A: {{}, {1}, {2}, {3}, {4}, {1, 2}, {1, 3}, {1, 4}, {2, 3}, {2, 4}, {3, 4}, {1, 2, 3}, {1, 2, 4}, {1, 3, 4}, {2, 3, 4}, {1, 2, 3, 4}}

Power set of B: {{}, {5}, {6}, {7}, {8}, {5, 6}, {5, 7}, {5, 8}, {6, 7}, {6, 8}, {7, 8}, {5, 6, 7}, {5, 6, 8}, {5, 7, 8}, {6, 7, 8},

a) Power set for two sets A and B with any 2 elements:

Set A: {1, 2}, Set B: {3, 4}

Power set of A: {{}, {1}, {2}, {1, 2}}

Power set of B: {{}, {3}, {4}, {3, 4}}

Set A: {apple, banana}, Set B: {cat, dog}

Power set of A: {{}, {apple}, {banana}, {apple, banana}}

Power set of B: {{}, {cat}, {dog}, {cat, dog}}

Set A: {red, blue}, Set B: {circle, square}

Power set of A: {{}, {red}, {blue}, {red, blue}}

Power set of B: {{}, {circle}, {square}, {circle, square}}

b) Power set for two sets A and B with any 3 elements:

Set A: {1, 2, 3}, Set B: {4, 5, 6}

Power set of A: {{}, {1}, {2}, {3}, {1, 2}, {1, 3}, {2, 3}, {1, 2, 3}}

Power set of B: {{}, {4}, {5}, {6}, {4, 5}, {4, 6}, {5, 6}, {4, 5, 6}}

Set A: {apple, banana, orange}, Set B: {cat, dog, elephant}

Power set of A: {{}, {apple}, {banana}, {orange}, {apple, banana}, {apple, orange}, {banana, orange}, {apple, banana, orange}}

Power set of B: {{}, {cat}, {dog}, {elephant}, {cat, dog}, {cat, elephant}, {dog, elephant}, {cat, dog, elephant}}

Set A: {red, blue, green}, Set B: {circle, square, triangle}

Power set of A: {{}, {red}, {blue}, {green}, {red, blue}, {red, green}, {blue, green}, {red, blue, green}}

Power set of B: {{}, {circle}, {square}, {triangle}, {circle, square}, {circle, triangle}, {square, triangle}, {circle, square, triangle}}

c) Power set for two sets A and B with any 4 elements:

Set A: {1, 2, 3, 4}, Set B: {5, 6, 7, 8}

Power set of A: {{}, {1}, {2}, {3}, {4}, {1, 2}, {1, 3}, {1, 4}, {2, 3}, {2, 4}, {3, 4}, {1, 2, 3}, {1, 2, 4}, {1, 3, 4}, {2, 3, 4}, {1, 2, 3, 4}}

Power set of B: {{}, {5}, {6}, {7}, {8}, {5, 6}, {5, 7}, {5, 8}, {6, 7}, {6, 8}, {7, 8}, {5, 6, 7}, {5, 6, 8}, {5, 7, 8}, {6, 7, 8},

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Answer:

That would 40 degrees.

(Sorry I can't explain rn) It would have to do with exterior angles.

Answer:

I believe it is 67 degrees

Step-by-step explanation:

Since all the angles in a triangle add up to 180 degrees, you can subtract 78 and 35 from 180 to get 67.

Answer:

Hope this helps :)

Step-by-step explanation:

Supplementary angles are angles whose measures sum to 180°.

equation for supplementary angle~ a+b=180

Example:

2x+(2x–2)=180

4x–2=180

4x=182

x=45.5

Answer:

x = 100.5

Step-by-step explanation:

Supplementary angles are two angles that have a sum of 180°. THIS MEANS WE'RE ADDING.

We can use distributive property to solve this equation.

x + (x-21) = 180°.

x + x - 21 = 180°.

Now, we can combine like terms.

2x - 21 = 180.

Since there is a subtraction sign in front of the number 21, we do the opposite operation (addition).

Next, we add 21 to 180.

180 + 21 = 201.

2x = 201

Lastly, we divide 201 by 2.

The quotient is 100.5.

100.5 is the final answer.

Therefore, 100.5 is the value of x.

We can check our answer to make sure.

(100.5 - 21) + 100.5 =

79.5 + 100.5 = 180°.