Write an inequality for the graph below.
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34
10
।। 12 13 14

Answer:

78kg

Step-by-step explanation:

76×5= 380kg

380-72-74-75-81= 78kg

Using angle relationships, the measures are: m<1 = 65°; m<2 = 55°; m<3 = 60°; m<4 = 65°; m<5 = 55°; m<6 = 120°; m<7 = 60°; m<8 = 120°; m<9 = 60°; m<10 = 115°; m<11 = 65°; m<12 = 115°.

The angle relationship will determine how to calculate the measures of each of the angles in the image given. Thus, they are solved as shown below.

1. m<1 = 65° [based on the angle relationship between both angles as they are corresponding to each other, they are equal in measure]

2. m<2 = 180 - m<1 - 60 [straight angle]

Substitute:

m<2 = 180 - 65 - 60

m<2 = 55°

3. m<3 = 60° [vertical angles]

4. m<4 = 65° [alternate interior angles]

5. m<5 = m<2 = 55° [vertical angles]

6. m<6 = 180 - 60 = 120° [same side interior angles are supplementary]

7. m<7 = 60° [alternate interior angles]

8. m<8 = m<6 = 120° [vertical angles]

9. m<9 = m<7 = 60° [vertical angles]

10. m<10 = 180 - 65 = 115° [supplementary]

11. m<11 = 65° [vertical angles]

12. m<12 = m<10 = 115° [vertical angles]

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Answer: B

Step-by-step explanation: because 6/5 would give you a number greater than 1 so multiplying it to 2 5/6 will give you number greater than 2 5/6

The clothing store is having a going out of business sale where every purchase is 35% off the original purchase price. The price of any purchase after the discount can be determined using the following expressions:

What is a mathematical expression?

What does a mathematical expression mean? Mathematical expressions consist of at least two numbers or variables, at least one arithmetic operation, and a statement. It's possible to multiply, divide, add, or subtract with this mathematical operation.

p - (0.35 * p)

p * (1 - 0.35)

p * 0.65

p / (1 + 0.35)

All the above expressions are equivalent and will give the same price of any purchase after the 35% discount.

p - (0.35 * p) is the expression for subtracting 35% of the original price from the original price.

p * (1 - 0.35) is the expression for multiplying the original price by (1- 0.35) which represents 65% of the original price.

p * 0.65 is the expression for multiplying the original price by 0.65, which represents 65% of the original price.

p / (1 + 0.35) is the expression for dividing the original price by (1 + 0.35) which represents 65% of the original price.

In all the above expressions, the original price is represented by p.

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Answer:

x = -10

Step-by-step explanation:

6 = -x - 4

+4      +4

10 = -x

-10 = x

The total water usage in the water park, in scientific notation is 1.41 × \(10^{6}\) gallons of water.

To express the total gallons of water used in the water park, including the additional water used by the new ride, we can use scientific notation.

The initial water usage in the park is given as 5.9 × \(10^{5}\) gallons of water.

The water usage of the new ride is stated as 820,000 gallons.

To find the total water usage after adding the new ride, we need to add the initial water usage to the water usage of the new ride:

5.9 × \(10^{5}\) + 820,000

To perform this calculation, we need to convert the water usage of the new ride to scientific notation:

820,000 = 8.2 × \(10^{5}\)

Now, we can add the two values:

5.9 × \(10^{5}\) + 8.2 × \(10^{5}\)

When adding values in scientific notation, we need to ensure that the exponents are the same. In this case, both values have an exponent of 5, so we can simply add the coefficients:

5.9 + 8.2 = 14.1

Therefore, the total water usage in the water park, including the new ride, can be expressed in scientific notation as 1.41 × \(10^{6}\) gallons of water.

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The random variable is the number of brown MOM's in a package of 50 MOM's. The given numbers are n = 50 and p = 0.13. The probabilities of exactly none, exactly 44, at least 43, and at most 45 MOM's being brown can be calculated using the binomial probability formula.

a) The random variable in this scenario is the number of brown MOM's in a package of 50 MOM's.

b) The given numbers with correct symbols are:

n = 50 (number of MOM's in the package)

p = 0.13 (proportion of brown MEM's)

c) This is a binomial experiment because the following conditions are met:

- There are only two outcomes for each MOM: brown or not brown.

- The number of MOM's is fixed at 50.

- The probability of selecting a brown MOM remains constant at 13% for each randomly selected MOM.

- The selection of one MOM being brown does not affect the probability of another MOM being brown.

d) The probability that exactly none of the MOM's are brown can be calculated using the binomial probability formula as P(X = 0) = C(50, 0) * (0.13)^0 * (1 - 0.13)^(50 - 0).

e) The probability that exactly 44 MOM's are brown can be calculated using the binomial probability formula as P(X = 44) = C(50, 44) * (0.13)^44 * (1 - 0.13)^(50 - 44).

f) The probability that at least 43 MOM's are brown can be calculated by summing the individual probabilities of having 43, 44, 45, ..., 50 MOM's brown. This can be calculated as P(X ≥ 43) = P(X = 43) + P(X = 44) + ... + P(X = 50).

g) The probability that at most 45 MOM's are brown can be calculated by summing the individual probabilities of having 0, 1, 2, ..., 45 MOM's brown. This can be calculated as P(X ≤ 45) = P(X = 0) + P(X = 1) + ... + P(X = 45).

By substituting the appropriate values into the binomial probability formula and performing the calculations, we can find the probabilities (d), (e), (f), and (g) to 4 decimal places.

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Chess is not a static game of complete information for several reasons. Firstly, the game is dynamic, meaning that the position of the pieces on the board changes constantly throughout the game.

Unlike in games like Tic Tac Toe or Connect Four, the state of the game at any given point is not fixed, and there are a vast number of possible outcomes. This means that players cannot simply memorize the best moves and outcomes for every situation, as they would in a game of complete information.

Secondly, chess is a game of imperfect information, as both players do not know what moves their opponent will make. Even with a complete understanding of the game's rules, players cannot predict with certainty the moves of their opponent, and must instead make strategic decisions based on their best assessment of their opponent's likely choices.

Finally, chess is a game of hidden information, as players do not know what their opponent is thinking or planning. A player may be able to predict their opponent's next move, but cannot know for sure what their long-term strategy is, making it difficult to make optimal decisions.

Overall, chess is a highly dynamic and complex game that is not static or complete in terms of information. Players must make strategic decisions based on incomplete and uncertain information, making it a challenging and rewarding game for those who play it.

Chess is a strategic board game played between two players, with each player starting with 16 pieces on a 64-square board. The game has been around for centuries and is considered one of the most popular and complex games in the world.

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A 40 gram sample of a substance that’s used for drug research has a k-value of 0.1472. The substance's half-life, in days, is approximately 4.7 days.

The half-life of a substance is the time it takes for half of the substance to decay or undergo a transformation. The half-life can be determined using the formula:

t = (0.693 / k)

where t is the half-life and k is the decay constant.

In this case, we are given that the sample has a k-value of 0.1472. We can use this value to calculate the half-life.

t = (0.693 / 0.1472) ≈ 4.7 days

Therefore, the substance's half-life, rounded to the nearest tenth, is approximately 4.7 days.

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The number of decimeters in  3.6 millimeters is 0. 0036 decimeters. Option D

Conversion of units is simply defined as the conversion that is between different units of measurement for a particular quantity.

it is carried out mostly through multiplicative conversion factors.

It may involve multiple steps of multiplication or division by  a conversion factor.

From the information given, we have that;

1 decimeter = 1000 millimeters

Then, x decimeter = 3.6 millimeters

Cross multiply the values

x = 3.6/1000

divide the values

x  = 0. 0036 decimeters

Hence, the value is  0. 0036 decimeters

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Answer:

20/30 (2/3)

Step-by-step explanation:

1 5/6 in improper form is 11/6 and 1 2/5 in improper form is 7/5. We need to find an LCM (Least Common Multiple). The LCM in this case is 30. 11/6 times 5 is 55/30 and 7/5 times 6 is 35/30. 55/30 minus 35/30 is 20/30. That could also be simplified to 2/3.

Kevin run the 13/30 miles futher in 10 minutes.

There is a fraction, containing numerator(upper value) and denominator(lower value). When the numerator is less than the denominator, the fraction is called proper fraction, otherwise it is called improper fraction. A proper fraction is also called fraction which is less than 1. And an improper fraction is ≥ 1. A mixed fraction contains a sum of whole number and a proper fraction.

\(1 \dfrac{5}{6}\)  in improper form is 11/6

\(1 \frac{2}{5}\) in improper form is 7/5.

First We need to find an LCM (Least Common Multiple).

The LCM is 30.

11/6 x  5/5 =  55/30

7/5 x 6/6 =  42/30.

Then

55/30 - 42/30 = 13/30.

That could also be simplified to 13/30.

Hence, Kevin run the 13/30 miles futher in 10 minutes.

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The correct answer is option (c) 3.

To determine if the function f(x) is continuous at x = 2, we need to check if the left-hand limit, right-hand limit, and the value of f(x) at x = 2 are equal.

First, let's find the left-hand limit as x approaches 2:

lim(x→2-) f(x) = lim(x→2-) (x^2 - 3x + 9) = 2^2 - 3(2) + 9 = 4 - 6 + 9 = 7.

Next, let's find the right-hand limit as x approaches 2:

lim(x→2+) f(x) = lim(x→2+) (kx + 1) = k(2) + 1 = 2k + 1.

Now, let's find the value of f(x) at x = 2:

f(2) = 2^2 - 3(2) + 9 = 4 - 6 + 9 = 7.

For the function to be continuous at x = 2, the left-hand limit, right-hand limit, and the value of f(x) at x = 2 should be equal. Therefore, we need to find the value of k that makes the left-hand limit, right-hand limit, and f(2) equal.

7 = 2k + 1

Subtracting 1 from both sides:

6 = 2k

Dividing both sides by 2:

3 = k

Therefore, the value of k that makes the function f(x) continuous at x = 2 is k = 3. Thus, the correct answer is option (c) 3.

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Answer:

b. converse of the alternate interior angles theorem

The surface area of the figure is approximately: 178 units².

The surface area of any figure is the area of all its faces.

Find the area of each face as shown below:

Area of base = w² = 6² = 36 units²

Area of the 4 rectangular faces = 4(6)(3) = 72 units²

Area of the 4 triangular faces = 4[1/2bh]

b = w = 6 units

h = √(y² + (w/2)²) = √(5² + (6/2)²) = 5.8 units

Area of the 4 triangular faces = 4[1/2(6)(5.8)] = 69.6 units²

Surface area = 36 + 72 + 69.6 ≈ 178 units²

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Okay, according with the identities of parallelograms we have: AE=CE and BE=DE.

Replacing we obtain:

AE=CE

2x=x+2

2x-x=2

x=2

BE=DE

y+10=4y−8

10+8=4y-y

18=3y

y=18/3

y=6

And considering that BD=BE+DE, we got:

BD=(y+10)+(4y-8)=(6+10)+(4*6-8)=(16)+(24-8)=16+16=32

So, finally we obtain that the length of BD is 32 units.

We need to operate the next matrixes.

First, subtract the next matrixes:

13 10 7

6 8 1

2 5 0

-

3 -2 6

14 -6 11

8 -12 9

=

13-3 10-(-2) 7-6

6-14 8-(-6) 1-11

2-8 5-(-12) 0-9

=

10 12 1

-8 14 -10

-6 17 -9

Now, the result adds to the next matrix:

10 12 1

-8 14 -10

-6 17 -9

+

6 10 15

10 0 9

1 0 7

=

10+6 12+10 1+15

-8+10 14+0 -10+9

-6+1 17+0 -9+7

=

16 22 16

2 14 -1

-5 17 -2

Therefore, the correct answer is the first one.

Answer:

acceleration

Step-by-step explanation:

use POE:

the object is moving because the graph is not a straight line

the object is not slowing down because the graph is going up

there is not a constant speed because the line is exponential not linear

the only one left is a. acceleration

The farmer will sell 7.2 kilograms of apples at the farmer's market.

In mathematics, expression is defined as the relationship of numbers, variables, and functions using mathematical signs such as addition, subtraction, multiplication, and division.

Given that a farmer sells 9.7 kilograms of pears and apples at the farmer's market. 2.5 of this is weight is pears.

If 2.5 kilograms of the 9.7 kilograms is pears, then the weight of the apples is:-

9.7 - 2.5 = 7.2 kilograms

Therefore, the farmer sold 7.2 kilograms of apples at the farmer's market.

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Answer:

B. The slope is -2, and the y-intercept is 12

Step-by-step explanation:

did it on edge 2020

To prove angle abd and angle cbd are congruent using a proof by contradiction, the assumption statement that starts the proof is Angle abd and angle cbd are not congruent.

Proof by contradiction is a technique used in logic and mathematics to verify the truth or validity of a claim by demonstrating how presuming the proposition to be incorrect results in a contradiction.

A proof by contradiction first starts with the negation, or opposite of the hypothesis.

In context of the problem, the proof by contradiction will start by the opposite . Since we are to prove that angle abd and angle cbd are congruent, the opposite is Angle abd and angle cbd are not congruent.

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To determine if we can conclude that more than 60% of the sampled population have completed the Hepatitis B vaccine series, we need to perform a hypothesis test.

Our null hypothesis (H0) is that the proportion of infants who completed the vaccine series is equal to or less than 60%, while our alternative hypothesis (Ha) is that the proportion is greater than 60%.

We can use a one-sample proportion test to test this hypothesis. The test statistic is calculated as follows:

z = (p - P) / sqrt(P(1-P)/n)

where p is the sample proportion (0.66), P is the hypothesized proportion under the null hypothesis (0.6), and n is the sample size (14).

Plugging in the values, we get:

z = (0.66 - 0.6) / sqrt(0.6(1-0.6)/14) = 0.67

Using a significance level of α = 0.01, our critical value for a one-tailed test is 2.33 (from a z-table). Since our test statistic (0.67) is less than the critical value (2.33), we fail to reject the null hypothesis.

Therefore, we cannot conclude that more than 60% of the sampled population have completed the hepatitis b vaccine series based on these data.

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The 50th term of this arithmetic sequence is equal to: D. -213.

Mathematically, the nth term of an arithmetic sequence can be calculated by using this expression:

aₙ =  a₁ + (n - 1)d

Where:

Next, we would determine the common difference as follows.

Common difference, d = a₂ - a₁

Common difference, d = 27 - 32

Common difference, d = -5

Substituting the given parameters into the formula, the 50th term of this arithmetic sequence is given by;

a₅₀ =  a₁ + (50 - 1)d

a₅₀ =  32 + (49)(-5)

a₅₀ =  32 - 245

a₅₀ =  -213.

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Answer:

Step-by-step explanation:

56.1,12.1,23.6

First you subtract the two equations

x^2-2x+3-6x

You simplify that and get

x^2+4x+3 = 0

Now we solve using the quadratic formula.

We get x = -1 and x = -3.

Now we find the y values by plugging the x values into the equation.

f(x) is the same as y.

y = (-1)^2 - 2(-1) + 3

y = 1+2+3

y = 6

Now for the other x value.

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

y = 9+9

y = 18

So the two ordered pairs are (-1,6) and (-3,18)

Answer:

5x-8

Step-by-step explanation: