what is the answer to -7-(27)

Answer:

14739

Step-by-step explanation:

1/2mv^2

1/2*105*17*17

=14739

The result is that x = 8 is the smallest positive number such that f(x) surpasses g(x).

An integer is a whole number that may be positive, minus, or zero and is not a percentage. Integer examples include: -5, 1, 5, 8, 97, as well as 3,043. The following figures are examples of non-integer numbers: -1.43, 1 3/4, 3.14,.09, and 5,643.1.

To find the smallest positive integer x for which f(x) exceeds g(x)

we need to set the two functions equal to each other and solve for x:

f(x) = g(x)

-x² + 5x = -10x + 10

Simplifying the equation, we get:

x² + 15x - 10 = 0

Using the quadratic formula, we can solve for x:

x = (-15 ± sqrt(15² - 4(1)(-10))) / (2(1))

x = (-15 ± sqrt(265)) / 2

The two possible solutions are approximately -0.372 and -14.628. Since we are looking for the smallest positive integer solution, we take the ceiling of the positive solution to get x = 8.

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Answer:

the correct answer is 193

Step-by-step explanation:

25×1-0=25

25×2-1=49

49×2-1=97

97×2-1=193

Answer:

The smaller number in 0.01

Step-by-step explanation:

To find this answer, just take the fraction and find the quotient of both numbers.

1.789/178 = 0.01005056179

Now take the quotient and compare it to 0.05.

Is 0.01 larger or 0.05 - the answer is 0.01.

Answer:

The hourly growth rate is of 4.43%.

The function showing the number of bacteria after t hours is \(P(t) = 80(1.0443)^t\)

Step-by-step explanation:

Equation of population growth:

The equation for the population after t hours is given by:

\(P(t) = P(0)(1+r)^t\)

In which P(0) is the initial population and r is the growth rate, as a decimal.

The conditions are such that the number of bacteria is able to double every 16 hours.

This means that \(P(16) = 2P(0)\). We use this to find r.

\(P(t) = P(0)(1+r)^t\)

\(2P(0) = P(0)(1+r)^{16}\)

\((1+r)^{16} = 2\)

\(\sqrt[16]{(1+r)^{16}} = \sqrt[16]{2}\)

\(1 + r = 2^{\frac{1}{16}}\)

\(1 + r = 1.0443\)

\(r = 1.0443 - 1\)

\(r = 0.0443\)

The hourly growth rate is of 4.43%.

80 bacteria are placed in a petri dish.

This means that \(P(0) = 80\).

\(P(t) = P(0)(1+r)^t\)

\(P(t) = 80(1+0.0443)^t\)

\(P(t) = 80(1.0443)^t\)

The function showing the number of bacteria after t hours is \(P(t) = 80(1.0443)^t\)

The solution of the equation is to the nearest ten-thousandth is x = 2.7712.

A number's natural logarithm is its logarithm to the base of the transcendental and irrational number e, which is roughly equivalent to 2.718281828459. Typically, the natural logarithm of x is expressed as ln x, loge x, or, if the base e is implicit, just log x.

The given equation is \(3^{x-1} = 7\).

Take natural log on both sides of the equation:

\(\ln (3^{x-1} )=\ln( 7)\)

(x - 1) ln(3) = ln(7)

x - 1 = ln(7) / ln(3)

x = 1 +  ln(7) / ln(3)

x = 2.7712

Hence, the solution of the equation is to the nearest ten-thousandth is x = 2.7712.

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The number 8.26 10^0 is shown in scientific notation.

Its standrad form is: 8.26 since we know that any base different from zero raised to the power "0" (zero) gives "1" (one).

To solve this linear programming problem using graphical methods, we can follow these steps:

Graph the two constraints, x + y = 11 and 3x + 2y = 6. We can graph these constraints on the x-y plane by setting x + y = 11 to the diagonal line y = -x + 11(the line of equality) and setting 3x + 2y = 6 to the line y = -2x + 6(the line of feasibility).

The feasible region is defined as the set of points (x, y) that satisfy both constraints. This region is bounded by the lines of equality and feasibility, and it includes all points in the first and fourth quadrants of the x-y plane.

To find the minimum value of the objective function z = 3x + y, we need to evaluate it at every point in the feasible region. However, we can note that the minimum value of 3x + y is attained at the corner point of the feasible region, which is (x, y) = (0, 11).

Therefore, the minimum value of z is 3(0) + 11 = 11, which is attained at the corner point of the feasible region.

In simplified form, the minimum value of z is 11 at (x, y) = (0, 11) in the feasible region.

The program is an illustration of loops and conditional statements and the part of the complete program is

n = int(input())

for i in range(1,n+1):

  if not(i%3 == 0 or i%5==0):

The program written in Python where comments are used to explain each line is as follows:

#This gets input for n

n = int(input())

#This iterates through n

for i in range(1,n+1):

  #If the current number is not a multiple of 3 and 5

  if not(i%3 == 0 or i%5==0):

      #This prints the number

      print(i,end="")

  else:

      #This prints "Fizz", if the current number is a multiple of 3

      if i%3 == 0:

          print("Fizz",end="")

      #This prints "Buzz", if the current number is a multiple of 5

      if i%5==0:

          print("Buzz",end="")

  #This prints a new line

  print()

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Answer:

true, I hope this will help.

\(\boxed{\underline{\bf \: True}}\)

\( \sf \: 6(10 + 5) = 6•10 + 6•5 \)

Check with LHS = RHS rule method.

LHS

\(\sf6(10 + 5) \\ \sf = 6(15) \\ \sf = 6 \times 15 \\ \bf = 90\)

RHS

\(\sf6•10 + 6•5 \\ \sf = 60 + 30 \\ \bf= 90\)

We can see that both LHS & RHS give \(\boxed{\underline{\bf \: 90}}\)as the solution. LHS = RHS. Hence proved.

Answer -> \(\boxed{\underline{\bf \: True}}\)

_______________

Hope it helps.

RainbowSalt2222

Answer:

120 minutes or 2 hours

Step-by-step explanation:

1/2 x 3 = 1 1/2

40 x 3 = 120 or 2 hours

The angle measures for this problem are given as follows:

The sum of the measures of the internal angles of a triangle is of 180º.

The triangle in this problem is ABC, hence the measure of a is obtained as follows:

a + 68 + 50 = 180

a = 180 - (68 + 50)

a = 62º.

c and d are corresponding angles to angle a, as they are on the same position relative to parallel lines, hence their measures are given as follows:

Angle b is a corresponding interior angle with angle a, hence they are supplementary and it's measure is given as follows:

a + b = 180

62 + b = 180

b = 118º.

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Answer:

x=-24-2y

y=-12-x/2

Step-by-step explanation:

To solve for x move everything to one side, 2x=-48-4y, then you can divide by 2 to just get x, x=-24-2y.

To solve for y move everything to one side, 4y=-48-2x, then you can divide by 4 to just get y, y=-12-x/2.

Answer:

2^8x-3

Step-by-step explanation:

Answer:

5 pounds

Step-by-step explanation:

80 divided by 16 = 5

A line can be written as an equation in the slope-intercept form:

Where m is the slope and b is the y-intercept.

We know the slope:

The y-intercept is the y value of the graph where it intercepts the y-axis, which happens when x = 0.

We know that the point x = 0 and y = 3 is on the line and, since the value of x is 0. the y value is the y-interceot, so:

Thus, we have the equation:

To calculate the other points, we just need to substitute their x values and get their y values:

x = 1:

So, when x = 1, y = 6

x = 2:

So, when x = 2, y = 9.

x = 3:

So, when x = 3, y = 12;

So, the complete table is:

x | 0 | 1 | 2 | 3

y | 3 | 6 | 9 | 12

To find:

The volume of the circular cone whose height is 69 meters and the radius of the cone is 21 meters.

Solution:

The formula used to find the volume of the cylinder with height h and the radius r is given below:

Fro the given question, h = 69 and r = 21. So, the volume of the cone is:

Thus, the volume of the cone to neart

Answer:

10.7

Step-by-step explanation:

Since this is a right triangle, we can use trig functions to calculate the hypotenuse.

We know the opposite side from the angle labeled 59 degrees.

sin 59 = opp side / hypotenuse

sin 59 = 9.2/x

x = 9.2/ sin 59

x = 10.733

The dimensions of the smaller rectangle are 13 centimeters by 52 centimeters.

Let's assume the dimensions of the smaller rectangle are length L and width W (in centimeters).

We know that the area of the smaller rectangle is 676 square centimeters:

L * W = 676    ----(1)

We also know that the larger rectangle has a shorter side of 41 centimeters. Let's say the corresponding longer side of the larger rectangle is H centimeters.

The area of the larger rectangle is 3457 square centimeters:

41 * H = 3457    ----(2)

Our current set of equations contains two unknowns. In order to get the smaller rectangle's dimensions, we can simultaneously solve these equations.

In order to find H, we can use equation (2):

H = 3457 / 41

H ≈ 84.22

Now we can substitute this value of H into equation (1):

L * W = 676

We need to find the dimensions (L and W) that multiply to give 676. We can start by looking for factors of 676.

Factors of 676: 1, 2, 4, 13, 26, 52, 169, 338, 676

By trial and error, we can see that the factors that give a close match to the dimensions of the larger rectangle (41 and 84.22) are 13 and 52:

L = 13

W = 52

Therefore, the smaller rectangle has measurements of 13 by 52 centimetres.

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Answer:

a) 9676.1053731 rad/min

b) 1540 rpm

Step-by-step explanation:

A truck with 30-inch diameter wheels is traveling at 70 mi/h. Find the angular speed of the wheels in radians per minute. ___ radians per minute How many revolutions per minute do the wheels make? (Round your answer to three decimal places.) ____ revolutions per minute

truck with 30-in.-diameter wheels is traveling at 70 mi/h.

---------

1 mile per hour = 88 feet per minute

70 mi/hr = 6160ft/minute

----------

Each revolution = pi*d feet = 4pi feet

(b) How many revolutions per minute do the wheels make?

rev/min

-------------

Each revolution = pi*d feet = 4pi feet

rpm = 6160 ft/min / 4pi feet = 990/pi rpm

=~ 1540 rpm

---------------

(a) Find the angular speed of the wheels in rad/min.

rad/min

-------------

rad/min = rpm*2*pi

= 1540 rpm × 2× π

= 9676.1053731 rad/min

Answer:

$15.69

Step-by-step explanation:

multiply the retail price by 1.06 to get the price after taxes.

find the discounted price by multiplying the price after taxes(19.61) by 0.8 since it is 20% off to get the answer

There must be two that meet on the same day, assuming that no classes are held on weekends.

Sets are groups of clearly defined objects or elements in mathematics. A set is denoted by a capital letter, and the cardinal number of a set is enclosed in a curly bracket to indicate how many members there are in a finite set.

Let us show that in any set of six classes, each meeting regularly once a week on a particular day of the week, there must be two that meet on the same day, assuming that no classes are held on weekends.

Since there are 5 working days by a week and 6 classes, by Pigeonhole Principle there must be two that meet on the same day.

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The distance between points P and Q is √73

First, remember that the distance between two points whose coordinates are (a, b) and (c, d) is given by:

distance = √( (a - c)² + (b - d)²)

Here we can see that the coordinates of the two shown points are:

P = (-3, 2)

Q = (5, -1)

Replacing that in the distance formula we will get:

distance = √( (-3 - 5)² + (2 + 1)²)

distance = √( (-8)² + (3)²)

distance = √73

So the correct option is the third one.

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Answer:

Sure, here are the answers to your questions:

**A) The value of $f(-5)$ is $-2$.**

To find the value of $f(-5)$, we can simply substitute $x=-5$ into the equation $f(x)=-2x^2-8x+14$. This gives us:

$$f(-5)=-2(-5)^2-8(-5)+14=-2(25)+40+14=-50+54=4$$

**B) The vertex of the parabola is $(2,6)$.**

To find the vertex of the parabola, we can complete the square. This involves adding and subtracting $\left(\dfrac{{b}}{2}\right)^2$ to both sides of the equation, where $b$ is the coefficient of the $x$ term. In this case, $b=-8$, so we have:

$$\begin{aligned}f(x)&=-2x^2-8x+14\\\\ f(x)+20&=-2x^2-8x+14+20\\\\ f(x)+20&=-2(x^2+4x)\\\\ f(x)+20&=-2(x^2+4x+4)\\\\ f(x)+20&=-2(x+2)^2\end{aligned}$$

Now, if we subtract 20 from both sides, we get the equation of the parabola in vertex form:

$$f(x)=-2(x+2)^2-20$$

The vertex of a parabola in vertex form is always the point $(h,k)$, where $h$ is the coefficient of the $x$ term and $k$ is the constant term. In this case, $h=-2$ and $k=-20$, so the vertex of the parabola is $(-2,-20)$. We can also see this by graphing the parabola.

[Image of a parabola with vertex at (-2, -20)]

**C) The $y$-intercept is the point $(0,14)$.**

The $y$-intercept of a parabola is the point where the parabola crosses the $y$-axis. This happens when $x=0$, so we can simply substitute $x=0$ into the equation $f(x)=-2x^2-8x+14$ to find the $y$-intercept:

$$f(0)=-2(0)^2-8(0)+14=14$$

Therefore, the $y$-intercept is the point $(0,14)$.

**D) The two values of $x$ that make $f(x)=0$ are $2.5$ and $-3.5$.**

To find the values of $x$ that make $f(x)=0$, we can set the equation $f(x)=-2x^2-8x+14$ equal to zero and solve for $x$. This gives us:

$$-2x^2-8x+14=0$$

We can factor the left-hand side of the equation as follows:

$$-2(x-2)(x-3)=0$$

This means that either $x-2=0$ or $x-3=0$. Solving for $x$ in each case gives us the following values:

$$x=2\text{ or }x=3$$

However, we need to round our answers to two decimal places. To do this, we can use the calculator. Rounding $x=2$ and $x=3$ to two decimal places gives us the following values:

$$x=2.5\text{ and }x=-3.5$$

Therefore, the two values of $x$ that make $f(x)=0$ are $2.5$ and $-3.5$.

Answer:

-1.7 sorry if it's wrong

Answer:

D

Step-by-step explanation:

You have:

a1 = 20

r = 1/4

The general expression for the sum of the first n terms of a geometric series is given by:

Sn = a1(r^n - 1)/(r - 1)

For the first five terms of the summation is:

S5 = 20((1/4)⁵ - 1)/(1/4 - 1)

S5 = 20(-0.999)/(-0.75)

S5 = 14.985

Hence, the sum of the first five terms is S5 = 14.985

Answer:

The question is not complete

Answer:b

Step-by-step explanation:

The area of circle S will be 50.24 mm². Then the correct option is A.

Let r be the radius of the circle. Then the area of the circle will be

A = πr² square units

The radius of circle S is half the radius of circle L.

Let 'r₁' be the radius of circle S and 'r₂' be the radius of circle L. Then the equation is given as

r₁ = r₂ / 2

The radius of circle L is 8 millimeters. Then the radius of the circle S is calculated as,

r₁ = 8 / 2

r₁ = 4 mm

The area of the circle S is calculated as,

A = πr₁²

A = 3.14 x (4)²

A = 50.24 mm²

The range of the circle S is 4 mm. Then the region of the circle S will be 50.24 mm². Then the right choice is A.

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