Identify and extend the pattern to find the next number in the sequence 3, 12, 48, 1 92

Answer:

14.4

Step-by-step explanation:

=24 * 60/100
=14.4

Answer:

14.4

Step-by-step explanation:

\(\frac{24}{10} = 10\)% of 24

6\(\frac{24}{10} = 60\)% of 24

Answer:

x = 0

Step-by-step explanation:

As x tends to negative one from the left, the value of f(x) tends to positive infinity. As x → -1⁻, f(x) → ∞.

In Mathematics and Geometry, the vertical asymptote of a function simply refers to the value of x (x-value) which makes its denominator equal to zero (0).

By critically observing the graph of this rational function f(x) shown below, we can logically deduce that its vertical asymptote is at x = -1 and x = 2, and its horizontal asymptote is at y = 3.

In this context, we can logically deduce that the value of f(x) tends towards positive infinity, as x tends to negative one from the left;

As x → -1⁻, f(x) → ∞.

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Answer:

1 executive for every 12 offices

We got x = 16.54 by using Pythagorean theorem .

What is the Pythagorean theorem in plain English?

angle of semicircle is always be 90° .

   18² = 7.1² + x²

    324 = 50.41 + x²

     x² = 324 - 50.41

          = 273.59

    x = √ 273.59

    x = 16.54

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"At least one digit is present to the left of the decimal point in all cases" and "the exponent can be a positive or negative integer" are the correct option for the given question.

Decimal numbers, also known as base-10 numbers. They use a system of digits from 0 to 9 and a decimal point to represent values. The decimal point separates the integer part of the number from the fractional part.

For example, in the decimal number 56.36, 56 is the integer part and 36 is the fractional part.

Hence, at least one digit is present to the left of the decimal point in all cases.

In scientific notation, the exponent is used to represent very large or very small numbers. The number is written in the form of a x \(10^n\) where 'a' is a decimal number between 1 and 10 (inclusive) and 'n' is an integer (positive or negative) exponent.

Say, for example, 0.00006 can be written as 6 x \(10^{-5}\) where 6 is the coefficient and -5 is the exponent.

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Answer:

Since they are moving in opposite directions, this is the same as Amy staying still and Erica biking at 10 meters per second away from her.To travel 1km = 1000m at 10 meters per second, you need 1000/10 = 100 

Step-by-step explanation:

Answer:

Explanation:

Here, we want to write the given equation in standard form

The equation of a line in standard form is as follows:

What we have to do now is to bring the x and y terms together

We can have this as follows:

-4 - 2y = -x

We want to leave -4 alone on the left

That means we have to transfer -2y that is there with it

To transfer -2y over the equality sign , its sign changes

-4 = +2y - x

But +2y can be written as 2y only

Finally by re-arrangement:

-x + 2y = -4

Answer:

37

Step-by-step explanation:

x=-4

=2(5-(-4)2+1

=2(5+4)2+1

=2(9)2+1

=18(2)+1

=36+1

=37

Answer:

Step-by-step explanation:

310 is the answer.

1. Based on the producer theory, an increase in the demand for labor (L) would be caused by An increase in the productivity of labor, A decrease in the wage rate and A decrease in the rental rate of capital.

2. Missing variables in this simple producer theory would include The technology used to produce output, The preferences of consumers and Quality of labor and capital.

In the standard producer theory, a producer minimizes costs for a given level of output.

This involves choosing the optimal mix of inputs, such as labor (L) and capital (K), to produce the desired output (y).

The cost function is represented by C = wL + rK, where w is the wage rate (cost of labor) and r is the rental rate (cost of capital).

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A sequence of transformations that maps △ABC to △A′B′C′ is a rotation of 90° counterclockwise about the origin followed by a translation 2 units right.

Transformations are changes done in the shapes on a coordinate plane by rotation, reflection, or translation

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A sequence of transformations that maps △DEF to △D′E′F′ is a rotation of 90° counterclockwise about the origin followed by a translation two units right.

The sequence of vertices ABC(DEF in this question) is clockwise, as is the sequence of A'B'C'(D'E'F in this question). Thus, an even number of reflections is involved, if any reflections are involved. The offered choices do not include suitable reflections.

The orientation of AB(DE) is toward the right. The orientation of A'B'(D'E') is up, so there must be a rotation of 90° CCW. Rotation of 90° CCW about the origin will leave the figure in a position that is 2 units left of where it is shown. The rotation must be followed by a translation 2 units to the right.

Thus, we conclude that a sequence of transformations that maps △DEF to △D′E′F′ is a rotation of 90° counterclockwise about the origin followed by a translation two units right.

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Answer:

9

Step-by-step explanation:

900%=900/100=9

the answer is 9 !!!!!!!!!

For a bell-shaped data set, approximately (Choose one) of the data will be in the interval

μ -σ to μ+ σ.For a bell-shaped data set, approximately (Choose one) of the data will be in the interval

μ -σ to μ+ σ.For a bell-shaped data set, approximately (Choose one) of the data will be in the interval

μ -σ to μ+ σ.For a bell-shaped data set, approximately (Choose one) of the data will be in the interval

μ -σ to μ+ σ.For a bell-shaped data set, approximately (Choose one) of the data will be in the interval

μ -σ to μ+ σ.For a bell-shaped data set, approximately (Choose one) of the data will be in the interval

μ -σ to μ+ σ.For a bell-shaped data set, approximately (Choose one) of the data will be in the interval

μ -σ to μ+ σ.For a bell-shaped data set, approximately (Choose one) of the data will be in the interval

μ -σ to μ+ σ.For a bell-shaped data set, approximately (Choose one) of the data will be in the interval

μ -σ to μ+ σ.For a bell-shaped data set, approximately (Choose one) of the data will be in the interval

μ -σ to μ+ σ.For a bell-shaped data set, approximately (Choose one) of the data will be in the interval

μ -σ to μ+ σ.For a bell-shaped data set, approximately (Choose one) of the data will be in the interval

μ -σ to μ+ σ.For a bell-shaped data set, approximately (Choose one) of the data will be in the interval

μ -σ to μ+ σ.For a bell-shaped data set, approximately (Choose one) of the data will be in the interval

μ -σ to μ+ σ.For a bell-shaped data set, approximately (Choose one) of the data will be in the interval

μ -σ to μ+ σ.For a bell-shaped data set, approximately (Choose one) of the data will be in the interval

μ -σ to μ+ σ.

\(57=\cfrac{5}{8}z+7\implies 57=\cfrac{5z}{8}+7\implies \stackrel{\textit{multiplying both sides by }\stackrel{LCD}{8}}{8(57)=8\left( \cfrac{5z}{8}+7 \right)} \\\\\\ 456=5z+56\implies 400=5z\implies \cfrac{400}{5}=z\implies 80=z\)

Answer:

solution given:

\( \frac{14x}{56} + \frac{-8y}{56}=1\)

\( \frac{x}{4} +\frac{y}{-7}=1\)

comparing above equation with

\( \frac{x}{a} +\frac{y}{b}=1\)

we get ,

a=4

so x intercept =4

Answer:

x= -1/3

Step-by-step explanation:

I tried my best but this is the anwser I got for my same problem

hope this helps my guy!!!

Explanation

Step 1

let

x represents the first number

y represents the second number

Hence,

a)Seven times the first number plus six times the second number equals 31

so, traslating

b)Three times the first number minus ten times the second number is 29

Step 2

now. we have a system of equations, Let's solve it !

a) isolate x in equation (1) and replace in equation(2)

b) now, replace the y value into eq(3)

therefore , the answer is

I hope this helps you

Answer:

2x² + 5x + c = 0

For this quadratic equation to have one double root, the discriminant must equal 0.

5² - 4(2)(c) = 0

25 - 8c = 0

c = 25/8

2x² + 5x is not a perfect square because the coefficient of x², 2, is not a perfect square.

2x² + 5x is not a perfect square.

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Answer:

12

Step-by-step explanation:

Because 3 games per month and there are 4 months in a season SO 3*4=12 games

Answer:

3 times 4 is 12

so 12 is your answer

Answer:

Step-by-step explanation:

Mean is defined as the sum total of data divided by the total number of data.

\(\overline x = \frac{\sum Xi}{N}\)

Xi are individual data

N is the total number of data = 5

Given the mean of the pulse rate = 65.4

a) Let the 5pulse rates be our data as shown: 57​, 55​, 62​, 83 and y where y is the missing value. According to the formula:

\(65.4 = \frac{57+55+62+83+y}{5}\)

\(65.4 = \frac{257+y}{5}\\ 257+y = 65.4*5\\257+y = 327\\y = 327-257\\y = 70\)

The missing value is 70

b) Since the total list of numbers is n values with a specific known mean, if some of this values can be freely selected, the number of n values that can be freely assigned before the remaining values are​ determined is any values less than n i.e n-1 values.

From the formula for calculating mean:

\(\overline x = \frac{\sum Xi}{N}\\{\sum Xi} = N\overline x\)

This shows that the sum of all the values is equal to the product of the total values and the mean value. Since we can freely choose n-1 values, then sum of the set of data can be written as \(\sum \sumx^{n-1} _i__=_1 Xi\)

\(\sum \sumx^{n-1} _i__=_1 Xi \ =\ N \overline x\)

The number of n values which is referred to the degree of freedom is n-1

The form of the point-slope equation is

m is the slope

(x1, y1) is a point on the line

Since the given slope is 8/3, then

Since the given point is (2, 7), then

Substitute them in the form above

The answer is C

The probability, if Greg gets dressed in the dark, that he winds up wearing the white shirt and tan pants is 0.125 or 12.5%.

To find the probability that Greg winds up wearing the white shirt and tan pants while getting dressed in the dark, we need to find out all the possible outfit options. According to the question given, first we nned to find out number of outfit combinations possible.

Total number of Outfit Combinations:

There are 4 shirts: a white one, a black one, a red one, and a blue one and also two pairs of pants, one blue and one tan. So, total number of possible outfit combinations would be 4 * 2 = 8.

No of favourable options:

As given in the question, Greg wears white shirt and tan pants. There is only one white shirt and one tan pant. So, number of favourable options would be only 1 .

Probability = Number of favourable outcomes/Total no. of combinations

Probability = 1/8

Probability = 0.125 or 12.5%

Therefore, the probability, if Greg gets dressed in the dark, that he winds up wearing the white shirt and tan pants is 0.125 or 12.5%.

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Answer:

1.03 x 10⁴ mL = 10.3L

Step-by-step explanation:

1L = 1000mL

so 10300mL = 10.3L

Answer:

A.  (x - 80)² = -320(y = 20)

B.  Focus:  (80, -60)

     Directrix:  y = 100

     Axis of symmetry:  x = 80

Step-by-step explanation:

If the spider's movement is modeled by a parabola, and its maximum height is 20 mm halfway across a horizontal distance of 160 mm, then:

Standard form of a parabola with a vertical axis of symmetry:

\(\boxed{(x-h)^2=4p(y-k) \quad \textsf{where}\:p\neq 0}\)

If p > 0, the parabola opens upwards, and if p < 0, the parabola opens downwards.

Substitute one of the x-intercepts and the vertex into the formula and solve for p:

\(\implies (0-80)^2=4p(0-20)\)

\(\implies (-80)^2=4p(-20)\)

\(\implies 6400=-80p\)

\(\implies p=-80\)

Substitute the found value of p and the vertex into the formula to create the equation of the parabola in standard form:

\(\implies (x-80)^2=4(-80)(y-20)\)

\(\implies (x-80)^2=-320(y-20)\)

Given:

\(\begin{aligned}\textsf{Focus}&=(h,k+p)\\&=(80,20-80)\\&=(80,-60)\end{aligned}\)

\(\begin{aligned}\textsf{Directrix}:y&=(k-p)\\ \implies y&=(20-(-80))\\ \implies y&=100\end{aligned}\)

\(\begin{aligned}\textsf{Axis of symmetry}:x&=h\\ \implies x&=80\end{aligned}\)

Answer:

The following are what Roger must calculate and put into consideration when calculating the taxable equivalent yield for a municipal bond:

~The bond has a tax-free yield of 5%.

~Roger’s investment income increases an average of 7% each year.  

~Roger owns stock that pays a 4% dividend.

~Roger is in the 24% tax bracket.

Step-by-step explanation:

The number of possible paint jobs that can be done on the 4 cars can be determined by permutation (15,4). That is option B.

Permutation is defined as the various number of ways a data set can be arranged to arrive at a definite value.

the number of colours offered by the paint shop = 15

The number of cars the need a new paint job = 4

To find the possible number of colour that can be used permutation (15,4) is carried out.

That is,

= 15!/(15-4)!

= 15!/11!

= 15×14×13×12×11×10×9×8×7×6×5×4×3×2×1/11×10×9×8×7×6×5×4×3×2×1

or 15×14×13×12×11!/11!

= 15×14×13×12

= 32,760

Therefore, there would be 32,760 possible paint jobs that can be carried out on the 4 cars.

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