3(x+ 7) = -12
x + 7 =
X =

Answer:

-0.5

Step-by-step explanation:

There is a 1/4 probability that the family's next child will be a girl.

The area of mathematics known as probability deals with numerical representations of the likelihood that an event will occur or that a statement is true.

An event's probability is a number between 0 and 1, where, roughly speaking, 0 denotes the event's impossibility and 1 denotes certainty.

So, the probability that the next child born will also be a girl:

We know that:

There is a 50% chance that a female will be the only kid born.

That is: 1/2

The likelihood that the family's subsequent kid will be a girl is:

1/2 * 1/2 = 1/4

Therefore, there is a 1/4 probability that the family's next child will be a girl.

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The bicycle traveled approximately 478.7 meters (or 0.47 kilometers).

We need to know the radius of the wheel to solve this problem.

Let's assume that the radius of the wheel is 30 cm.

A. The circumference of the wheel is given by:

C = 2πr = 2 × 22/7 × 30 = 188.57 cm

Therefore, the wheel rolls 188.57 cm for one tire revolution.

B. The total distance recorded is given by:

distance = number of revolutions × circumference

distance = 254 × 188.57 = 47,869.78 cm

Therefore, the bicycle traveled approximately 478.7 meters (or 0.47 kilometers).

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Answer: (1, 18)

Step-by-step explanation:

Test each x, y pair.

Getting to the last one, plug in 1 for the x value.

y = 3 * (6 ^ x)

y = 3 * (6 ^ 1)

y = 3 * 6

y = 18

This matches with (1, 18) so it must lie on the graph.

Answer:

33333333333333333333333333333333333333333

Step-by-step explanation:3333333333333333333333333333333333333333

The class width of 0 < x ≤ 6 can be found to be 6. The bars for all the classes would be the same width.

The class width is calculated by subtracting the lower limit of a class from the lower limit of the next class. The class width is therefore:

= 6 - 0

= 6

Looking at the other class intervals, we see that the class width is still 6:

= 12 - 6                                           =  18 - 12

= 6                                                 = 6

Then, we can therefore see that the bars for all the classes would have the same width as the class width is the same.

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The correct first step for solving the equation 3(x+8) = 42 is (3×x)+(3×8) = 42.

For the given equation;

3(x+8) = 42

The first step will be to open the parenthesis, and multiply each term with 3.

(3×x)+(3×8) = 42.

Thus, the first step to solve the linear equation is  (3×x)+(3×8) = 42.

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Answer:

x>7

Step-by-step explanation:

-2(x - 5) < -x + 3

-2x + 10 < -x + 3

-2x + x < 3 - 10

-x < -7

-x / -1 < -7 / -1

x > 7

Answer:

X < 7

Step-by-step explanation:

Answer:

83505

Step-by-step explanation:

It's already in the expanded form...

In summary solution for this question  the value of x is 10.

Angles u and v are complementary, which means their measures add up to 90 degrees.

Given:

Angle u = 3x + 4

Angle v = 56

To find the value of x, we can set up an equation using the fact that the sum of the angle measures is 90 degrees:

Angle u + Angle v = 90

Substituting the given values:

(3x + 4) + 56 = 90

Now, we can solve for x:

3x + 4 + 56 = 90

3x + 60 = 90

3x = 90 - 60

3x = 30

x = 30/3

x = 10

Therefore, the value of x is 10.

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The total amount assessed on the cargo weighing 6,520 tons at the Marin Port Of Entry (POE) was $391.20.

According to the given information,

The cargo weighs 6,520 tons and is assessed a fee of 6 cents per ton.

We can set up the formula to calculate the total amount assessed,

⇒ Total amount assessed = Weight of cargo x Fee per ton

We can substitute the given values into the formula,

⇒ Total amount assessed = 6,520 tons x $0.06/ton

To simplify this calculation,

we can first multiply the weight of the cargo by the fee per ton,

⇒ 6,520 tons x $0.06 = $391.20

Therefore,

The required total amount assessed on the cargo weighing was $391.20.

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The graph of f(x)=√x+3+2 is shifted 3 units up and 2 units to the right from the parent graph of f(x)=√x.

We have,

Graph is a type of data structure that consists of a set of nodes (also called vertices) and edges. Each node is connected to other nodes by edges. Graphs are used to represent networks of communication, data organization, computational devices, the flow of computation, etc. They are also very useful for visualizing relationships between data points in a variety of fields.

The translation of the parent graph of f(x)=√x+3+2 is a vertical shift upward 3 units, followed by a horizontal shift to the right 2 units. This is represented by the bold line in the graph. In terms of the equation, the translation is represented by the addition of the 3 and the 2 to the function. The 3 causes the graph to shift vertically upward and the 2 causes the graph to shift horizontally to the right. As a result, the graph of f(x)=√x+3+2 is shifted 3 units up and 2 units to the right from the parent graph of f(x)=√x.

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complete question:

Below, the graph of f(x) = √x +3 + 2 is sketched in bold. Its parent function f(x)=√x is represented

by the thin curve.

1) Describe the

translation of the parent

graph.

2) How does the translation relate to the equation?

Answer:5.97

Step-by-step explanation.  

you have to look at the question.

you have to look around the question

The very last step is you have to answer it  

To find the next permutation in the lexicographic ordering, we can follow these steps:

Start from the rightmost digit of the given permutation (4213765) and move left until finding a digit that is smaller than the digit to its right. In this case, it is 3.

Now, look for the smallest digit to the right of 3 that is larger than 3. In this case, it is 5.

Swap the digit 3 with the smallest larger digit found (5), resulting in 4251763.

Sort the digits to the right of the swapped position in ascending order, giving 4251367.

Therefore, the next permutation after 4213765 in lexicographic ordering is 4251367.

In the given permutation 4213765, we find the rightmost digit 5. Moving left, we encounter the digit 6, which is larger than 5. This means that we can swap 5 with the next larger digit to its right, which is 6. After swapping, we have 4213766.

Next, we need to rearrange the digits to the right of the swapped position (5 and 6) in ascending order. Sorting these digits gives us 4213656.

Now, let's examine the remaining digits. Moving left, we find that 4 is followed by 2, which is smaller than 4. This indicates that we can further increase the permutation by swapping 4 with the next larger digit to its right, which is 5. After swapping, we get 4253616.

Finally, we sort the digits to the right of the swapped position (4 and 5) in ascending order, resulting in 4251366. This is the next permutation in the lexicographic ordering after 4213765.

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answer:

3/8

explanation:

(m/n)

count units from point a and b vertically, that is m.

count units from point a and b horizontally, that is n.

Answer:

x=58 degrees

Step-by-step explanation:

The angle is a right angle (90 degrees)

90-32=58

Answer:

58 degrees.

Step-by-step explanation:

This is because a right angle is 90 degrees and there's already 32 degrees of it "taken up." 90 - 32 = 58.

Answer:

x⁴ + 3x³ + 4x² + 12x = 0

<=> x³(x + 3) + 4x(x + 3) = 0

<=> (x³ + 4x)(x + 3) = 0

<=> x(x² + 4)(x + 3) = 0

Answer:

B=28

Step-by-step explanation:

The researcher should use regression analysis, as a statistical tool,  because the researcher is working with two variables measured.

Regression analysis is the most widely used statistical tool that can be used to find out the relation between a set of variables. Thus, from its results, it is possible to analyze the trend or make predictions.  In a regression analysis, it is considered the relationships between two or more variables and it is very similar to correlation.

Like the researcher is working with two variables measured at the interval level. The researcher should use regression analysis.

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To solve the given equation, t² - t = 12, by factoring, we will use (t + 3)(t - 4) = 0. The correct option is the first option

From the question, we are to determine how to solve the given equation by factoring

From the given information,

The given equation is

t² - t = 12

First, we will solve the equation by factoring

t² - t = 12

Transfer the constant to the other side

t² - t - 12 = 0

Factorize the expression

t² -4t + 3t - 12 = 0

t(t - 4) +3(t - 4) = 0

(t + 3)(t - 4) = 0

Then,

t + 3 = 0 OR t - 4 = 0

t = -3 OR t = 4

Hence, to solve the equation we will use (t + 3)(t - 4) = 0

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The P-value is 0.0764 and the conclusion is that Since P > α , reject H0.

From the question above, test statistic of Z = −1.42.

The P-value for a left-tailed hypothesis test is the probability that the test statistic will be less than the observed value of the test statistic.

Since it is left-tailed, we find the area to the left of Z. Using the Z-table, we find the probability associated with the test statistic as follows:

P-value = P(Z < −1.42) = 0.0764 (rounded to four decimal places)

If the level of significance is α = 0.10.

Since P-value (0.0764) is greater than the level of significance α (0.10), we fail to reject H0.

Therefore, the correct answer is:

Since P > α, fail to reject H0.

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The  product of the given matrices is \(AB=\left[\begin{array}{ccc}9\\18\end{array}\right]\)

Matrix multiplication is a binary operation that produces a matrix from two matricesThe given matrices are \(A=\left[\begin{array}{ccc}1\\2\end{array}\right]\) and \(B=\left[\begin{array}{ccc}4&5\end{array}\right]\)

To perform product of two matrices, we should make sure that the number of columns in the 1st matrix is equal to the rows in the 2nd matrix

AB=\(\left[\begin{array}{ccc}1\\2\end{array}\right].\left[\begin{array}{ccc}4&5\end{array}\right]\)

\(AB=\left[\begin{array}{ccc}4+5\\8+10\end{array}\right]\)

\(AB=\left[\begin{array}{ccc}9\\18\end{array}\right]\)

Hence, the  product of the given matrices is \(AB=\left[\begin{array}{ccc}9\\18\end{array}\right]\)

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The expression (5x)² is equal to ___ x², where the twos are cubes.

To simplify the expression (5x)², we need to apply the exponent rules. Since the twos are cubes, we need to cube both the base and the exponent.

(5x)² can be rewritten as (5x)³³. Applying the exponent rule for a power of a product, we raise each factor inside the parentheses to the third power:

(5x)³³ = (5)³(x)³ = 125x³.

Therefore, the expression (5x)² is equal to 125x³, where the twos are cubes.

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384,000 bacteria would be present at the end of 7 hours if it doubles itself every hour.

Initial number of bacteria=3000

Number of bacteria at the end = initial number of bacteria * (base)ⁿ

where, n= number of hours

Number of bacteria at the end=3000*2⁷

                                                    =3000*128

                                                     =384,000

Therefore, there will be 384000 bacteria at the end of seven hour if the bacteria doubles itself every hour.

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Step-by-step explanation:

Basically the area of sphere is 4πr² where r is radius whose value is distance from centre to the edge of the given sphere whereas π (pi) whose value is 3.14 or 22/7. It is defined as the ratio between circle's circumference and it's diameter. But are you aware about the area of circle?? Actually that is πr². If you notice carefully you'll find that area of sphere is 4 times the area of circle. So, if you're provided with the area of circle you can simply multiply the value with 4 to get the area of sphere. But if not, then simply plugin the value of radius and pi in 4πr² to find out the area of sphere.

But since the formula is almost same then how they're different? Well the difference between a sphere and a circle is because of two-dimensional and three-dimensional shape. A circle is a two-dimensional flat shape figure whereas a sphere is a three-dimensional shape.

Talking about the unit of sphere. The unit we use is always the same as the units of radius i.e. cm or m. Since, it is the square of the radius in the given formula, then the unit is also the square of the units, or cm² or m².

The formula is given by

\(\\ \rm\hookrightarrow Area=\pi r^2\)

The two expressions are not equal, so the function f(x) = 2x² is also not linear.

To determine if a function is linear, we need to verify if it satisfies the linearity property, which states that for any x and y in the domain of the function and any scalars α and β, the function should satisfy f(αx + βy) = αf(x) + βf(y).

Let's examine each function and determine if it is linear:

f(x) = 3x - 2

To check linearity, we need to verify if f(αx + βy) = αf(x) + βf(y). Let's substitute the values:

f(αx + βy) = 3(αx + βy) - 2

= 3αx + 3βy - 2

On the other hand:

αf(x) + βf(y) = α(3x - 2) + β(3y - 2)

= 3αx - 2α + 3βy - 2β

Comparing the two expressions, we can see that they are not equal, so the function f(x) = 3x - 2 is not linear.

f(x) = 2x²

Using the same logic, let's check linearity:

f(αx + βy) = 2(αx + βy)²

= 2(α²x² + 2αβxy + β²y²)

= 2α²x² + 4αβxy + 2β²y²

On the other hand:

αf(x) + βf(y) = α(2x²) + β(2y²)

= 2αx² + 2βy²

The two expressions are not equal, so the function f(x) = 2x² is also not linear.

In conclusion, neither of the given functions is linear since they do not satisfy the linearity property.

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Answer:

It will take her 170.3 minutes to run the entire marathon

Step-by-step explanation:

Use dimensional analysis, the miles will cancel out.

\(\frac{26.2 mi}{1}\) ×  \(\frac{32.5 min}{5 mi}\) =  \(\frac{26.2(32.5)}{5}\)min = 170.3 min