Solve for x
6x + 9 < 63

Answer: It's not possible for a positive, even integer to have a specific shape, such as the shape of a 4. This is because integers are abstract mathematical concepts that represent whole numbers and do not have any physical properties, such as shape. Additionally, even integers are simply integers that are divisible by 2, and do not have any specific shape associated with them.

If you're asking about a specific number that has the shape of a 4, such as the number "4" written in a specific way, it's important to note that the value of a number does not depend on its physical appearance. For example, the number 4 written as "4" and the number 4 written as "IV" (the Roman numeral for 4) are both the same number, and have the same value.

The probability of a prime number or a number greater than 3 coming up is given as follows:

5/6.

The parameters that are needed to calculate a probability are listed as follows:

Then the probability is calculated as the division of the number of desired outcomes by the number of total outcomes.

When a dice is thrown, there are six possible outcomes, ranging from 1 to 6, and the desired outcomes are given as follows:

Hence the probability is given as follows:

5/6.

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Answer:

2,4 3,5

Step-by-step explanation:

11, - 6, -1, 4, 9, 14, 19, ... are mapped onto 4. ... A;-l = (-ltQn (mod N),. (A5.34) ... 131 2, 14, 34, 38, 42, 78, 90, 178, 778, 974(1000).

Step-by-step explanation:

the nearest .1/2 incp, we say the 'unit 131/2 incl. 1.4 a measUrement is-stated tp- be 546 inch, this UM= the

Answer:

44 yards

Step-by-step explanation:

Formula :

divide the length value by 3

Answer:

what grade so i can help you

Step-by-step explanation:

The calculated volume of the prism is 702 cubic cm

From the question, we have the following parameters that can be used in our computation

The trapezoidal prism (see attachment)

The formula of the volume of a trapezoidal prism is

Volume = Base area * Height

Where we have

Base area = 1/2 * (8 + 10) * 6

Evaluate the sum of 8 and 10

Base area = 1/2 * 18 * 6

Evaluate the products of 1/2, 18 and 6

Base area = 54

Also, we have

Height = 13

So, the volume is calculated as

volume = 13 * 54

Evaluate

volume = 702

Hence, the volume of the prism is 702 cubic cm

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The maximum APR with quarterly compounding that the borrower will accept from a lender is 16.132%.

To convert the maximum effective monthly rate of 1% into an APR with quarterly compounding, we can use the formula:

\(APR = [(1 + \dfrac{r}{n})^n - 1] \times 4\)

Where r is the effective monthly rate and n is the number of compounding periods per year. In this case, we want to find the maximum APR with quarterly compounding that the borrower will accept, so we can substitute r = 1% and n = 3:

\(APR = ((1 + \dfrac{0.01}{3})^3 - 1) \times 4\)

APR = (1.0100333³ - 1) x 4

APR = 0.04033 x 4

APR = 0.16132 or 16.132%

Therefore, the maximum APR with quarterly compounding that the borrower will accept from a lender is 16.132%.

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Answer:

Step-by-step explanation:

To solve the inequalities 2x - 15 < -0.8 and 2x - 15 > 0.8, we will solve them separately and then combine the solutions.

First, let's solve the inequality 2x - 15 < -0.8:

2x - 15 < -0.8

Add 15 to both sides:

2x < 14.2

Divide both sides by 2 (since the coefficient of x is 2 and it is positive, we don't need to flip the inequality symbol):

x < 7.1

Now, let's solve the inequality 2x - 15 > 0.8:

2x - 15 > 0.8

Add 15 to both sides:

2x > 15.8

Divide both sides by 2:

x > 7.9

So, the solutions to the inequalities are:

x < 7.1 and x > 7.9

To write these solutions in interval notation, we can express them as separate intervals and then combine them using the union symbol (∪):

Interval 1: (-∞, 7.1)

Interval 2: (7.9, +∞)

Combining these intervals, the solution in interval notation is:

(-∞, 7.1) ∪ (7.9, +∞)

The mean age of the U.S. presidents at inauguration is 54.7 years and the population standard deviation is approximately 5.7 years.

To find the mean and population standard deviation of the ages of the U.S. presidents at inauguration, we first need to calculate the sum of the ages and the number of presidents in the data set.

The sum of the ages is:

57 + 61 + 57 + 57 + 58 + 57 + 61 + 54 + 68 + 51 + 49 + 64 + 50 + 48 + 65 + 52 + 56 + 46 + 54 + 49 + 50 + 47 + 55 + 55 + 54 + 42 + 51 + 56 + 55 + 51 + 54 + 51 + 60 + 62 + 43 + 55 + 56 + 61 + 52 + 69 + 64 + 46 + 54 + 47 = 2,405

There are 44 presidents in the data set.

Therefore, the mean age is:

mean = sum of ages / number of presidents = 2,405 / 44 = 54.7

To find the population standard deviation, we first need to calculate the sum of the squared deviations from the mean:

(57 - 54.7)² + (61 - 54.7)² + ... + (47 - 54.7)² = 3,391.5

Then, we divide the sum of squared deviations by the number of presidents and take the square root:

population standard deviation = √(3,391.5 / 44) ≈ 5.7

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Answer:

x = ~2.17 (rounded)

Step-by-step explanation:

First, combine like terms (terms with the same amount of the same variable):

5x + 1 + 18x + 11 = 62

(5x + 18x) + (1 + 11) = 62

(23x) + (12) = 62

Isolate the variable, x. Note the equal sign, what you do to one side, you do to the other. Do the opposite of PEMDAS.

PEMDAS is the order of operation, &  =

Parenthesis

Exponents (& Roots)

Multiplication

Division

Addition

Subtraction

First, subtract 12 from both sides:

23x + 12 (-12) = 62 (-12)

23x = 62 - 12

23x = 50

Divide 23 from both sides to isolate the variable, x:

(23x)/23 = (50)/23

x = 50/23 = 2 4/23 = ~2.17 (rounded to the nearest hundredths).

Answer:

x= -2.17 (rounded to nearest hundredth)

Step-by-step explanation:

5x + 1 + 18x + 11 = 62

     -1            -11      -12

subtract 1 and 11 from both sides which leaves you with:

5x + 18x = 50

add 5x and 18x and you get:

23x = 50

now divide both sides by 23 and get:

x=-2.17

Answer:

376000 pounds

Step-by-step explanation:

What's required of this question is to convert the given weight of plane from tons to pounds

Given

\(Weight = 188\ tons\)

Required

Get pounds equivalent

From standard unit of measurements

\(1\ ton = 2000\ pounds\)

Multiply both sides by 188

\(188 * 1\ ton = 188 * 2000\ pounds\)

\(188\ tons = 376000\ pounds\)

Hence, the weight of the plane in pounds is 376000

Answer:

$12.25

i hope this helps

Step-by-step explanation:

5+2=7

1.75×7=12.25

Answer:24.50

Step-by-step explanation:

Answer:

Step-by-step explanation:

Point: 10,-9

k=-2

y=-2x+b

So: 9, -7

8,-5

7,-3

6,-1

5,1

4,3

3,5

2,7

1,9

0,11

y=-2x+11

Answer:

y + 9 = - 2(x - 10)

Step-by-step explanation:

the equation of a line in point- slope form is

y - b = m(x - a)

where m is the slope and (a, b ) a point on the line

here m = - 2 and (a, b ) = (10, - 9 ) , then

y - (- 9) = - 2(x - 10) , that is

y + 9 = - 2(x - 10)

The statements that must be true based on the diagram below are:

From the diagram, segments that have the same mark are congruent segments

This means that:

Segments KL and HL are congruent segments

So, we have:

LM is a segment bisector

Also, because the angle at point L is a right-angle

LM is a perpendicular bisector and L is a midpoint in the diagram

Lastly, point M is a midpoint in the diagram

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Step-by-step explanation:

75 = 3 x 5 x 5    in prime factorization

Answer:

Step-by-step explanation:

3x5x5

The value of every variable in the parallelogram is: a = 9 HK = 27.0 GK = 46 G = 63.5°

A parallelogram is a special type of quadrilateral that has both pairs of opposite sides parallel and equal.These shapes include squares, rectangles, rhombuses, and rhomboids. All of these shapes have four sides, four corners, and four angles

We know that sides of a parallelogram are parallel and congruent, as opposite angle

According to question  that GA equals HK, as:

46 is equal to 3a plus 19 When we subtract 19 from both sides, we get:

27 x 3a is the result of dividing both sides by 3:

we know that opposite angles in a parallelogram are congruent, we can use a = 9. Since angle H is 56 degrees, angle K must also be 56 degrees. The length of side HK can be determined using the Law of Cosines:

HK2 = GA2 + GK2 - 2(GA)(GK)cos(H) When we substitute the values we are familiar with, we obtain:

After solving the equation we obtain: HK2 = 462 + (3a + 19)2 - 2(46)(3a + 19)cos(56°).

HK2 = 2112 + 9a2 + 342a - 2764cos(56°) HK2 = 2112 + 9(9)2 + 342(9) - 2764cos(56°) HK2  732.4 By taking the square root of both sides, we obtain the following results:

∵ GA = 46, we can use the parallelogram's opposite sides being congruent to determine the length of side GK: HK  27.0

Then, we can use the Law of Cosines to determine the angle G's measurement:

cos(G) = (HK2 + GA2 - GK2) / (2(HK)(GA)) Using the values we are familiar with, we get,

cos(G) = (27.02 + 462 - 462) / (2(27.0)(46)) cos(G)  0.465 Using the inverse cosine, we get the following:

G ≈ 63.5°

Hence, the worth of every variable in the parallelogram is:

a = 9 HK = 27.0 GK = 46 G = 63.5°

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Answer:

A) 6

B) 14

C) 4

D) 7

Hope it helps :))

(a) The errors made by the student are:

Incorrectly expanding 49(2) as 24 instead of 98.

Mistakenly factoring the quadratic equation as (y - 8)(y - 1) instead of

\(y^{2} - 9y + 8.\)

(b) The exact solution to the equation is x = 7/11.

(a) The student made two errors in their solution:

Error 1: In the step \("22x + 49(2) = 0,"\) the student incorrectly expanded 49(2) as 24 instead of 98. The correct expansion should be 49(2) = 98.

Error 2: In the step \("y^{2} - 9y + 8 = 0,"\) the student mistakenly factored the quadratic equation as (y - 8)(y - 1) = 0. The correct factorization should be \((y - 8)(y - 1) = y^{2} - 9y + 8.\)

(b) To find the exact solution to the equation, let's correct the errors made by the student and solve the equation:

Starting with the original equation: \(22x + 4 - 9(2) = 0\)

Simplifying: 22x + 4 - 18 = 0

Combining like terms: 22x - 14 = 0

Adding 14 to both sides: 22x = 14

Dividing both sides by 22: x = 14/22

Simplifying the fraction: x = 7/11

Therefore, the exact solution to the equation is x = 7/11.

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Answer:

Step-by-step explanation:

\( - 2 + {( - 6)}^{2} \\ - 2 + ( - 6)( - 6) \\ - 2 + 36 \\ 34 \\ \)

Answer:

\( \frac{29}{2} \)

The solution to the math problem is -6.

A math problem is a problem that can be represented, analyzed, and probably solved, with the techniques of arithmetic. This will be an actual-world problem, inclusive of computing the orbits of the planets inside the solar gadget, or trouble of a greater summary nature, such as Hilbert's problems.

The Collatz Conjecture is the only math problem no person can resolve it is straightforward and sufficient for almost every person to recognize but notoriously difficult to resolve.

= 19 - ( - 5 ) ²

= 19 - ( 25 )

= 19 - 25

= - 6

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Answer:

Step-by-step explanation:

3x – 1 = 44

=> 3x = 44 + 1

=> 3x = 45

=> x = 15

7y - 5 = 44

=> 7y = 44 + 5

=> 7y = 49

=> y = 7

After working on this problem, we can conclude that:

Hoped this helped.

Answer:

50(5π + 6) cm²

Step-by-step explanation:

TSA of figure = 1/2 of TSA(Cylinder) + Area of rectangle

= 1/2 of 2πr(h+r) + 20*15

= πr(h+r) + 300

= 10π(15+10) + 300

= 250π + 300 cm²

or 50(5π + 6) cm²

In brains, we want a balance between excitatory and inhibitory signals to maintain proper neural functioning.

Since, We know that;

In brains, we want a balance between excitatory and inhibitory signals to maintain proper neural functioning.

This balance is important because too much excitatory signaling can cause overstimulation and potential harm, while too much inhibitory signaling can lead to neural suppression and lack of responsiveness.

Hence, The proper balance between the two types of signals is necessary for healthy neuronal activity, and maintaining that balance is a key aspect of neural health.

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The evaluation of the statements with regards to the graph of a function are;

A function maps an input value to an output based on a definition or rule.

First part of the statement;

The graph of a non-vertical straight line has a range of values for the slope, m, of 0 ≤ m < ∞

The equation of a straight line function is of the form; y = m·x + c

Therefore;

The graph of a non-vertical straight line can be represented by the equation, y = m·x + c, where y has possible values of; -∞ < y < ∞, which indicates that as x increases or decreases, y increases (or decreases), such that each value of x maps unto only one value of y, which indicates that the graph is a function. The statement is therefore true.

Second part of the statement.

The graph of the quadratic function; y = a·x² + b·x + c has a shape of a parabola, therefore, the statement, the graph of a function is not always a straight line is true also.

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