Find the value of x

1/2 + 3/2x + 10 = 15

-17x - (-8) + x = 24

Therefore , we can transform these data into bar graph with the help of given values.

A non-linear data structure consisting of nodes, or vertices, and edges is known as a graph. The nodes, which are sometimes referred to as vertices in a graph, are connected by any two edges. This graph has a set of vertices V= 1, 2, 3, 5, and a set of edges E= 1, 2, 1, 3, 2, 4, 2, 5, and 4, 50.

Here,

The gene plays the role of pigment production .

Yes , The presence of mutagens , temperature , light cycle can influence the fur color.

Mcl gave has ullets it runs in the evolution chart . So the dominant truit mild always present in matured solution.

Therefore , we can transform these data into bar graph with the help of given values.

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After answering the presented question, we can conclude that As a inequality result, the total of the next two numbers in the pattern is roughly 4.793 1011 + 9841.5 = 4.793 1011.

In mathematics, an inequality is a non-equal connection between two expressions or values. As a result, imbalance leads to inequity. In mathematics, an inequality connects two values that are not equal. Inequality is not the same as equality. When two values are not equal, the not equal symbol is typically used (). Various disparities, no matter how little or huge, are utilised to contrast values. Many simple inequalities can be solved by altering the two sides until just the variables remain. Yet, a lot of factors contribute to inequality: Negative values are divided or added on both sides. Exchange left and right.  

Each succeeding number appears to be the cube of the previous number divided by 2. The next two numbers in the pattern, using this pattern, are:

\((27^3)/2 = 19683/2 = 9841.5\)

and

\((9841.5^3)/2 = 4.793 × 10^11\)

As a result, the total of the next two numbers in the pattern is roughly 4.793 1011 + 9841.5 = 4.793 1011.

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Step-by-step explanation:

one would have to measure the sides, but from the looks of it, yes, A'B'C'D' is a dilation from ABCD. all sides of the new shadow appear to be parallel to the sides of the original shape. and it appears that the scaling factor is the same for all 4 sides (but again, one would have to measure precisely).

Link 2 is rotated clockwise and counterclockwise, it will not move or rotate as there are no degrees of freedom and the linkage is constrained.

Given: Number of full joints = 3 Number of half joints = 0Mobility = 1 Degrees of freedom = 1

As we know that the formula for calculating mobility is given by, Mobility = 3 (n - 1) - 2j Where, n = number of linksj = number of full joints

Substituting the given values, Mobility = 3 (n - 1) - 2j1 = 3 (n - 1) - 2(3)1 = 3n - 3 - 63 = 3n - 9n = 4 Degrees of freedom = (number of links - 1) - 2(number of full joints) + (number of half joints)

Substituting the given values,Degrees of freedom = (4 - 1) - 2(3) + (0) Degrees of freedom = -1

Therefore, there are no degrees of freedom. As there are no half joints in the given linkages, the given linkage is a constrained linkage.

Therefore, when Link 2 is rotated clockwise and counterclockwise, it will not move or rotate as there are no degrees of freedom and the linkage is constrained.

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Answer:

6x-6x56 =-2016

Step-by-step explanation:

You have to subtract, then multiply by 56 to get -2016, as it shows a negative.

If the homeowner also had to pay late fees in the amount of $35 four different times, the total cost of the dryer is $809.48. So, correct option is A.

To calculate the total cost of the dryer, we need to add the initial cost of the dryer, the monthly payments, the credit card fees, and the late fees.

The total cost of the dryer can be calculated as follows:

Cost of dryer = $698.27

Total credit card charges = 12 x $1.25 = $15

Total late fees = 4 x $35 = $140

Total cost of the dryer = Cost of dryer + Total credit card charges + Total late fees

= $698.27 + $15 + $140

= $809.27

Therefore, the total cost of the dryer is $809.48, which is the closest option to the calculated answer.

So, correct option is A.

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Answer:

a)  67.4°

Step-by-step explanation:

since this is a right triangle you can use the sine trigonometric ratio of opposite/hypotenuse

sin⁻¹(Ф) = 12/13 which equals 67.4°

Step-by-step explanation:

Part A: 3(-2) + 2(-2)

Part B: [3(8) + 2(18) - 1] - [3 + 2(-2)]

Price Discount

Answer:

look at image

Step-by-step explanation:

look at image for explanation hope this helps

Answer:

A sample is a subset of the population.

I just have that 100 miles for Company B gets them to $130, matching the daily price for Company A, but I don't know the amount of matching miles for the same price.

I know this might not help at all.

Answer: Slope = m= -1

Step-by-step explanation:

(-4,0)    (0,-4)    m=?

                  \(\displaystyle\\Slope=m=\frac{y_2-y_1}{x_2-x_1}\)

\(\displaystyle\\x_1=-4 \ \ \ \ \ x_2=0\ \ \ \ \ \ y_1=0\ \ \ \ \ \ \ y_2=-4\\\\m=\frac{-4-0}{0-(-4)} \\\\m=\frac{-4}{0+4} \\\\m=\frac{-4}{4} \\\\m=-1\)

Answer:

y^6 - 9y^4 + 27y² - 27

Step-by-step explanation:

(y² - 3) (y^4 - 6y² + 9)

y^6 - 6y^4 + 9y² - 3y^4 + 18y² - 27

y^6 - 9y^4 + 27y² - 27

Answer:

150 units²

Step-by-step explanation:

cube has 6 faces. All faces are congruent squares.

The area of a square is (side)².

Since there are 6 congruent squares, the total surface area of a cube is

6(side)²

SA = 6(5 units)²

SA = 6(25 units²)

SA = 150 units²

Answer:-2

Step-by-step explanation:

whatever the number attachted to x is, is the slope

Answer:

slope=2

Step-by-step explanation:

1)subtract -2x from both sides and you should have y=2x+1 as your new equation

hope this helps!

A and B are mutually exclusive, with P(A) is 0.7 and P(B) is 0.2, the probability of event B given event A (P(B|A)) and the probability of event B given event A (P(BIA)) are both 0.2.

To find the probability of B given A, we can use the formula:

P(B|A) = P(A and B) / P(A)

Given:

P(A) = 0.5

P(B) = 0.1

P(A and B) = 0.3

P(B|A) = 0.3 / 0.5

= 0.6

Therefore, the probability that B will occur if A occurs is 0.6.

Given:

P(A) = 0.3

P(B) = 0.4

Since A happening guarantees that B must also happen, the events A and B are not independent. In this case, we can use the formula:

P(A or B) = P(A) + P(B) - P(A and B)

P(A or B) = 0.3 + 0.4 - 0.3

= 0.4

Therefore, the probability of A or B occurring is 0.4.

Given:

P(A) = 0.7

P(B) = 0.2

Since A and B are mutually exclusive events, they cannot occur together. In this case, we have:

P(A and B) = 0

Therefore, P(B|A) = P(BIA)

= 0.

P(BIA) = P(B)

= 0.2.

So, P(BIA) < P(B) is true.

When events A and B are mutually exclusive, with P(A) = 0.7 and P(B)

= 0.2, the probability of event B given event A (P(B|A)) and the probability of event B given event A (P(BIA)) are both 0.2.

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The probability that the speed of a car over the bridge is at least 60 miles per hour is 0.375.

The probability of a car's speed over the bridge being at least 60 miles per hour is given by the following formula:

P(at least 60 mph) = 1 - P(less than 60 mph)

The probability of a car's speed over the bridge being less than 60 miles per hour is given by the following formula:

P(less than 60 mph) = (60-50)/(66-50) = 10/16 = 0.625

Therefore, the probability of a car's speed over the bridge being at least 60 miles per hour is given by:

P(at least 60 mph) = 1 - 0.625 = 0.375

Therefore, the probability that the speed of a car over the bridge is at least 60 miles per hour is 0.375.

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To find the exact length of the curve given by x = et − 9t, y = 12et/2, 0 ≤ t ≤ 3, we can use the arc length formula:
L = ∫(a to b) √[dx/dt]^2 + [dy/dt]^2 dt
Substituting the given values, we get:
L = ∫(0 to 3) √[e^t - 9]^2 + [6e^(t/2)]^2 dt
Simplifying the expression under the square root, we get:
L = ∫(0 to 3) √(e^(2t) - 18e^t + 81 + 36e^t) dt
L = ∫(0 to 3) √(e^(2t) + 18e^t + 81) dt
L = ∫(0 to 3) (e^t + 9) dt
L = [e^t + 9t] from 0 to 3
L = [e^3 + 9(3)] - [e^0 + 9(0)]
L = e^3 + 27 - 10.99
L ≈ 25.5
Therefore, the exact length of the curve is approximately 25.5 units.

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The proportion of cranberries required for the muffins is 4 pounds x 16 ounces/pound = 64 ounces of cranberries. Therefore, to make the muffins for the party, you will need 64 ounces of cranberries.

To calculate the amount of cranberries needed for the muffins at a party of 12 people, making 11/2-ounce muffins and assuming each person will have three muffins, we need to convert the measurements and quantities.

Given that each muffin weighs 11/2 ounces, and each person will have three muffins, we can calculate the total weight of muffins needed. 11/2 ounces is equivalent to 1.5 ounces, so each person will consume 1.5 ounces x 3 muffins = 4.5 ounces of muffins.

For a party of 12 people, the total amount of muffins required is 4.5 ounces/person x 12 people = 54 ounces of muffins.

Now, to determine the amount of cranberries needed for the muffins, we need to consider the recipe's proportion. The recipe makes 15 pounds of dough and calls for 4 pounds of cranberries. To convert pounds to ounces, we know that 1 pound is equal to 16 ounces.

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Answer:

B

correct me if i wrong

Step-by-step explanation:

Because we are told that she can spend $26 this month on movie and rentals, we can begin by subtracting the definite cost, the membership fee ($5).

So. 26-5÷ 21

Next we divide 21 by 1.25 in order to find out how many movies Mariassa can rent.

So. 21÷1.25= 16.8

Because we cannot rent a portion of a movie (0.8), we take that away and are left with 16 movies she can rent.

The relative frequency of choosing dancing as a favorite activity among visitors is 20%. This implies that out of all the visitors in the senior citizen center, 20% of them have chosen dancing as their favorite activity.

The given table shows the favorite activities of visitors in a senior citizen center. We have to calculate the relative frequency of choosing dancing.
Activities Frequency
Dancing 18
Crafts 24
Reading 15
Playing cards 12
Exercise 21
Total 90
The formula to calculate the relative frequency is:
Relative frequency= Frequency of observation/ Total number of observations
Let's use this formula to calculate the relative frequency of choosing dancing.
Relative frequency of choosing dancing= Frequency of dancing/ Total number of visitors
Relative frequency of choosing dancing= 18/90
Relative frequency of choosing dancing= 0.2 or 20%

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Answer:

1/4.

Step-by-step explanation:

There are 12 possible outcomes.

There are are 3 outcomes represented by 4B.

So required probability = 3/12 = 1/4.

The number of people that are in the Kariang tribe is; 420000 people

We are given;

Total Population of Akha Tribe in Thailand = 7 * 10⁴ people

Kariang tribe population is a total of 6 times larger than that of Akha Tribe

Thus, for us to be able to get how many people are in the Kariang tribe, we will just multiply both values to get;

6 * 7 * 10⁴ = 42 * 10⁴ = 420000

Therefore, since Thailand is home to numerous indigenous tribes, we can conclude from the calculation above and using the given parameters in the question that the number of people that are in the Kariang tribe is; 420000 people

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Answer:

So $700 was invested in the mutual fund that earned a 2% profit, and $500 was invested in the mutual fund that earned a 5% profit.

Step-by-step explanation:

Let x be the amount invested in the mutual fund that earned a 5% profit, and let y be the amount invested in the mutual fund that earned a 2% profit. We know that the total investment was $1,200, so:

x + y = 1200

We also know that the total profit was $39, which can be expressed as a decimal as 0.39 (since profit is calculated as a percentage of the initial investment). The amount of profit earned on the first fund is 5% of x, or 0.05x, and the amount of profit earned on the second fund is 2% of y, or 0.02y. So:

0.05x + 0.02y = 0.39

We now have two equations with two variables:

x + y = 1200

0.05x + 0.02y = 0.39

We can solve for one variable in terms of the other in the first equation, and substitute into the second equation:

x = 1200 - y

0.05(1200 - y) + 0.02y = 0.39

Simplifying and solving for y:

60 - 0.05y + 0.02y = 0.39

0.03y = 0.39 - 60

0.03y = -59.61

y = -59.61 / 0.03

y = 1987

This tells us that $1,987 was invested in the mutual fund that earned a 2% profit. To find the amount invested in the mutual fund that earned a 5% profit, we can substitute into the first equation:

x + y = 1200

x + 1987 = 1200

x = 1200 - 1987

x = -787

This doesn't make sense, since we can't have a negative investment amount. It means that we made a mistake somewhere. Checking our work, we can see that the equation 0.05x + 0.02y = 0.39 should actually be:

0.05x + 0.02y = 39

(without the decimal point). With this correction, we can solve as before:

x + y = 1200

0.05x + 0.02y = 39

x = 1200 - y

0.05(1200 - y) + 0.02y = 39

60 - 0.05y + 0.02y = 39

0.03y = 21

y = 700

So $700 was invested in the mutual fund that earned a 2% profit, and $500 was invested in the mutual fund that earned a 5% profit.

x² + 10x + 25 is the expression of (x+5)^2 in trinomial in standard form

A trinomial is a polynomial that consists of three terms. It is a type of algebraic expression that contains three algebraic terms separated by either plus or minus signs.

For example, the expression 2x^2 + 5x - 3 is a trinomial because it has three terms: 2x^2, 5x, and -3. Similarly, the expression 4a^3 - 7a^2 + 2a is also a trinomial because it has three terms: 4a^3, -7a^2, and 2a.

We have to expand this

x² + 2(x)(5) + 5²

= x² + 10x + 25

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The sum of the given geometric series is 3.75.

The given series is a geometric series, which means that each term is obtained by multiplying the previous term by a constant ratio. In this case, the ratio is -3, since each term is obtained by multiplying the previous term by -3.

To determine the sum of the series, we can use the formula for the sum of a geometric series:

S = a / (1 - r)

where S represents the sum, a is the first term, and r is the common ratio.

In this case, the first term (a) is 15 and the common ratio (r) is -3. Plugging these values into the formula, we get:

S = 15 / (1 - (-3))
S = 15 / (1 + 3)
S = 15 / 4
S = 3.75

Note: The given series is an infinite geometric series. In this case, since the absolute value of the common ratio (|-3| = 3) is greater than 1, the series does not converge to a finite value. Therefore, the sum of the series is not a finite number. Instead, the series diverges.

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The "hypothesis of no change," "status quo," and "conventional wisdom" are all alternative names for the null hypothesis. Unless there is overwhelming evidence to the contrary, the null hypothesis is assumed to be correct.

H0: u = 1: u ≠ 1,400

When testing hypotheses with the P value, the null hypothesis is rejected if?

The evidence against the null hypothesis is stronger when the p-value is smaller (closer to 0).If the p-esteem is not exactly or equivalent to the predetermined importance level α, the invalid speculation is dismissed;The null hypothesis is not rejected otherwise.

A statement of expectation or prediction that will be tested by research is called a research hypothesis. Read up on the subject that interests you before coming up with your research hypothesis.

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