For what values of x and y are the triangles to the right congruent by HL?

Minimal sedation is characterized by c) less than 50% N2O in the first stage of the continuum.

Minimal sedation is defined as a state in which the patient is able to respond normally to verbal commands, breathe on their own and maintain stable blood pressure and heart rate. It is achieved by administering a small dose of a sedative or anxiolytic medication.

Minimal sedation is a light form of sedation that allows the patient to remain conscious and responsive throughout the procedure, and it helps the patient to relax and reduce anxiety.

It is considered a safer option than deeper forms of sedation as the patient remains able to breathe on their own, which reduces the risk of complications. This level of sedation is often used in procedures such as dental work, minor skin procedures, and diagnostic tests.

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Answer:

Line FH is the same as FK

Step-by-step explanation:

The triangle on the left is the same on the right, but inverted. This is proved because lines eh equals gk and angle e and g are the same.

Answer:

line fh is the same as fk

Answer:

$606

Step-by-step explanation:

For the first 40 hours, she was making $12. With this, we can do 12x40, which is 480$. We can store that in a safe space for later access. Afterwards, since the problem says that "after 40 hours she earns time and a half for her work" we can assume she gets 1.5x her pay after 40 hours, which is $18 (We can get this by 12 / 2 = 6. Then do 12 + 6 = 18). Then we can do 18x7 because she worked 7 hours over 40. With that, we get 126$. Now we can do 480$ + 126$ = 606$. So, she earned 606$.

Answer:

89.1

Step-by-step explanation:

Answer: 81,000

Step-by-step explanation:

We can solve this by using the formula given.

If f(1)=1000x3^1, then 1,000x3=3,000

If f(2)=1000x3^2, then 3^2=9 and 1000x9=9000,

and so on,

Now, f(4) will equal 1000x3^4, and 3^4 is 3x3x3x3, which is 9x9 or 9^2, which would be equal to 81, and 81x1000=81,000

To complete the table of values for the exponential function f(x) = 1000*3^x, we can evaluate the function for x = 0, 1, 2, 3, and 4, since we are interested in the number of bacteria on the phone after 4 hours.

x f(x)

0 1000

1 3000

2 9000

3 27,000

4 81,000

Therefore, after 4 hours, there will be 81,000 bacteria on the surface of the phone, assuming the number of bacteria triples every hour and can be described by the exponential function f(x) = 1000*3^x.

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We know that the Chicago's population grew by 4.3% from 1990 to 2000.

To find the percent by which Chicago's population grew, we need to calculate the percent increase between 1990 and 2000.

First, we need to find the difference between the two populations:

2.90 million - 2.78 million = 0.12 million

Next, we need to divide the difference by the original population and multiply by 100 to get the percentage increase:

0.12 million / 2.78 million * 100 = 4.32%

Therefore, Chicago's population grew by 4.3% from 1990 to 2000.

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Answer:

Complementary

Step-by-step explanation:

When 2 things are complementary, they take up all given space.

When it's unlikely, it isn't all probability

Independent means they don't affect each other.

Disjoint means mutually exclusive.

Answer:

Step-by-step explanation:

6). 8 - x ≥ 3 ; x = 2

8 - 2 ≥ 3

6 ≥ 3 ( true) ⇒ Yes, x = 2 is the solution.

7). 15 ≤ 4w ; w = 3

15 ≤ 4(3)

15 ≤ 12 (false) ⇒ NO, w = 3 is not a solution.

The null hypothesis for a one-way analysis of variance (ANOVA) is that there is no significant difference between the means of the groups, while the alternative hypothesis is that at least one group mean is significantly different from the others.

The null hypothesis (H0) for a one-way analysis of variance is that there is no significant difference in the mean of the dependent variable (number of words per minute) among the groups, and any observed differences are due to chance.

The alternative hypothesis (Ha) is that there is a significant difference in the mean of the dependent variable among the groups, and this difference is not due to chance. In other words, at least one of the groups has a different mean from the others.

Symbolically, the hypotheses can be expressed as:

H0: μ1 = μ2 = μ3 (where μ1, μ2, and μ3 are the population means for groups 1, 2, and 3, respectively)

Ha: At least one of the population means is different from the others.

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--The given question is incomplete, the complete question is given

" Suppose in an experiment, we randomly assign 15 participants to three treatment groups 1, 2, and 3 (with five participants per treatment). Each of the three groups has received a different method of speed-reading instruction. A reading test is given and the number of words per minute is recorded for each participant. Below is a table with the data collected:

Group 1 Group 2 Group 3

700 480 500

850 460 550

820 500 480

640 570 600

920 580 610

Write the null and alternative hypotheses for a one-way analysis of variance."--

Answer:

c

Step-by-step explanation:

An example of a geometric formula that contains pi(π) is the formula for the circumference of a circle, which is

C = 2πr. This formula is used to calculate the distance around a circle.

A geometric formula is a mathematical equation that describes a relationship between geometric figures or their properties.

Geometric formulas are used to calculate the area, perimeter, volume, surface area, and other properties of shapes such as circles, triangles, rectangles, spheres, cubes, and cylinders. For example, the formula for the area of a triangle is

A = 1/2 b×h, where b is the base of the triangle and h is its height.

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Answer:

\(\frac{49}{81}\)

Step-by-step explanation:

It is the scale factor squared.

A) Function is increasing on (-∞, -1) and (7/2, ∞), and decreasing on (-1, 7/2).

b)  The local minimum value of f is; 5608/2197 at x = -42/13, and the local maximum value of f is 139/8 at x = 7/2.

(a) To determine the intervals on which f is increasing or decreasing, we need to determine the critical points and then check the sign of the derivative on the intervals between them.

f(x)=8x³-42x-48x + 4

f'(x) = 24x² - 90

Setting f'(x) = 0, we get

24x² - 90 = 0

24x² = 90

x =±  √3.75

So, the critical points are;

x = -1 and x = 7/2.

We can test the sign of f'(x) on the intervals as; (-∞, -1), (-1, 7/2), and (7/2, ∞).

f'(-2) = 72 > 0, so f is increasing on (-∞, -1).

f'(-1/2) = -25 < 0, so f is decreasing on (-1, 7/2).

f'(4) = 72 > 0, so f is increasing on (7/2, ∞).

Therefore, f is increasing on (-∞, -1) and (7/2, ∞), and decreasing on (-1, 7/2).

(b) To determine the local maximum and minimum values of f, we need to look at the critical points and the endpoints of the interval (-1, 7/2).

f(-1) = -49

f(7/2) = 139/8

f(-42/13) = 5608/2197

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The quadratic equation with zeros at -6 and 2 is y² + 4y - 12 = 0. This is in standard form, which is ax² + bx + c = 0, with a = 1, b = 4, and c = -12.

To find the quadratic equation with zeros at -6 and 2, we can start by using the fact that if a quadratic equation has roots x₁ and x₂, then it can be written in the form

(y - x₁)(y - x₂) = 0

where y is the variable in the quadratic equation.

Substituting the given values of the zeros, we get

(y - (-6))(y - 2) = 0

Simplifying this expression, we get

(y + 6)(y - 2) = 0

Expanding this expression, we get

y² - 2y + 6y - 12 = 0

Simplifying this expression further, we get

y² + 4y - 12 = 0

So the quadratic equation with zeros at -6 and 2 is

y² + 4y - 12 = 0

This is the standard form of a quadratic equation, which is

ax² + bx + c = 0

where a, b, and c are constants. In this case, a = 1, b = 4, and c = -12.

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Solution: 1/3 + 3/5

Take the LCM of 3 and 5 is 15.

⇛(5+9)/15

⇛14/15 in fractional form.

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Answer:

14/15

Step-by-step explanation:

When you simplify a fraction, you have to divide or multiply the numerator(the top number) and the denominator(the bottom number) by the same number. In order to add or subtract two fractions, both have to have the same denominator. The LCD, or least common denominator, of 3 and 5 is 15. 15÷3=5, so you multiply 1/3 by 5 and and 5 to get 5/15. 15÷3=5, so you multiply 3/5 by 3 and 3 to get 9/15. The denominator stays the same when adding or subtracting fractions, and 5+9=14, so the answer is 14/15.

The company's profit if there are no price increases is $120.

We have,

The problem provides a function P(x) that models the profit of a natural sponge company.

The function takes as input the number of $0.15 increases in the price of each sponge, denoted by x.

When the value of x is 0, it means that there are no price increases, and therefore the initial price of each sponge is unchanged.

Now,

If there are no price increases, then the value of x in the function P(x) is 0, since x represents the number of price increases.

Substituting x = 0 into the function, we get.

P(0) = -0.1(0)^2 + 15(0) + 120 = 120

Therefore,

The company's profit if there are no price increases is $120.

We can also see this from the graph of the function, which starts at (0, 120) and represents the profit when there are no price increases.

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To achieve her goal, Julie needs to burn an extra 2,625 / 7 = 375 calories every day.

To calculate how many extra calories Julie needs to burn each week to lose 3 pounds in four weeks, we need to use the following formula:

1 pound of body weight = 3,500 calories

3 pounds of body weight = 3 x 3,500 = 10,500 calories

Julie wants to lose 3 pounds in 4 weeks.

Therefore, her weekly goal would be to lose 10,500 / 4 = 2,625 calories.

To burn 2,625 extra calories in a week, Julie needs to burn 375 calories extra each day.

Therefore, she needs to burn an extra 2,625 / 7 = 375 calories every day to achieve her goal.

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Answer:

Hence, the square root of 8 is not a rational number. It is an irrational number.

Step-by-step explanation:

according to my math book.. thanks me later

Step-by-step explanation:

$20/hr carpenter pay

$25/hr blacksmith pay

Let c = hours working carpentry

Let b = hours working as blacksmith

c + b = 30 {equation 1}

20c + 25b = 690 {equation 2}

In equation 1 solve for one variable in terms of the other.

c = 30-b

Substitute that into equation 2:

20(30-b) + 25b = 690

600 - 20b + 25b = 690

5b = 90

b = 90/5

b = 18 hours working as a blacksmith

c = 30-b = 30-18 = 12 hours as a carpenter

Answer:

The equation of the parallel line is

y = 3x + 9

Step-by-step explanation:

The general equation of a straight line is given as;

y = mx + c

where m is the slope and c is the intercept

If two lines are parallel, their slopes are equal

So the slope of the new line too is 3

Using the point-slope formula

y-y1 = m(x-x1)

y-12 = 3(x-1)

y-12 = 3x-3

y = 3x-3 + 12

y = 3x + 9

Answer:

if u trying to find the white blank answer is 18

but if u trying to find the color spot with no white

Answer:

Step-by-step explanation:

lets break this down into 3 rectangles. Following a=base*height

6*4 =24

6*3=18

10*2=20 (difference of 8 and 6 = 2)

tot=62ft^2

Therefore, Linda bought 21 yards of ribbon. Hence, Linda bought 94 yards of ribbon.

The number of yards of ribbon Linda bought, we need to calculate the difference between the initial balance on the card and the remaining balance after the purchase.

The initial balance on the card was $20. To find the amount spent on ribbon, we subtract the remaining balance ($17.06) from the initial balance. $20 - $17.06 = $2.94

Now, we need to determine how many yards of ribbon Linda could purchase with $2.94, given that the price of the ribbon is 14 cents per yard.

To find the number of yards, we divide the total amount spent ($2.94) by the price per yard (14 cents): $2.94 ÷ $0.14 = 21

Therefore, Linda bought 21 yards of ribbon.

Hence, Linda bought 94 yards of ribbon.

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Answer:

70%

Step-by-step explanation:

The fraction of the game won is 14/20

Percent means out of 100

14/20 * 5/5 = 70/100

The percent is 70%

The expression that is equal to the polynomial 2x^4 + 5x^3 - 8x - 20 is x^3(2x - 5) - 4(2x - 5).

To determine the expression that is equal to the given polynomial, we need to factor out the common factors from the polynomial. The given polynomial has two common factors: x^3 and (2x - 5). By factoring out these common factors, we get x^3(2x - 5) - 4(2x - 5).

This expression    represents the original polynomial with the common factors factored out. Therefore, x^3(2x - 5) - 4(2x - 5) is the expression that is equal to the polynomial 2x^4 + 5x^3 - 8x - 20.

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answer:

x=16

Step-by-step explanation:

Answer:

Step-by-step explanation:

Comment

The greatest common factor of 5 10 and 20 = 5 Nothing more can be put with the five that is a coefficient.  

The greatest common factor of x x^2 and x^3 is x. It is the only thing that can be taken out.

y has no common factor. C does not contain a y.

Answer: 5x

Given parameters:

Number of chairs  = 3

Number of tables = 4

Cost of 3 chairs and 4 tables = Rs 7540

Price of 1 table = Rs220

Unknown:

Price of 1 table  = ?

Solution:

Let the cost of 1 table = t

 So,

        3(220) + 4(t) = 7540

         660 + 4t = 7540

         4t = 7540 - 660

          4t = 6880

            t = Rs. 1720

The cost of 1 table is Rs. 1720

a. Null hypothesis is a statement that suggests no significant difference or relationship exists between two variables or populations. It is the starting point of hypothesis testing, and the aim is to prove it wrong.
b. Alternative hypothesis is a statement that suggests there is a significant difference or relationship between two variables or populations. It is the opposite of the null hypothesis and is supported if there is enough evidence to reject the null hypothesis.
c. Critical values are the values that divide the rejection region from the acceptance region in hypothesis testing. They are determined based on the chosen alpha level and the degrees of freedom.
d. Rejection region is the area in the distribution where the null hypothesis is rejected. It is determined by comparing the test statistic with the critical values.
e. Test statistic is a calculated value that measures the difference between the observed sample data and the expected values under the null hypothesis. It is used to determine whether the null hypothesis should be rejected.
f. Alpha level is the significance level set by the researcher, which determines the probability of rejecting the null hypothesis when it is true. It is typically set at 0.05 or 0.01, indicating a 5% or 1% chance of rejecting the null hypothesis when it is true. The alpha level is used to determine the critical values and the rejection region.

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