The number of bacteria P (t) in a certain population increases according to the following function, we’re time t is measured in hours.

Step-by-step explanation:

87 and z are opposite so the are equal. The x equation is on the same line as the 87 degree angle so those 2 added together have to equal 180 so subtract 87 from 180 and get 93 and set 93 equal to 9x-87 and solve to get x=20

Answer:

=> z = 87° { vertically opposite angle }

=> 87° + (9x-87) = 180° { linear pair }

=> 87 +9x-87 = 180

=> 9x = 180°

=> x = 180/9

=> x = 20°

Answer:

B)

Step-by-step explanation:

a p ec

The graphing form of the function g(x) is: C) none of the answer choices.

The function g(x) = \(x^2 + 4x - 7\)is already in the standard form of a quadratic equation. In graphing form, a quadratic equation can be represented as y =\(ax^2 + bx + c,\) where a, b, and c are constants.

Comparing the given function g(x) =\(x^2 + 4x - 7\)with the standard form, we can identify the coefficients:

a = 1 (coefficient of x^2)

b = 4 (coefficient of x)

c = -7 (constant term)

Therefore, the graphing form of the function g(x) is:

C) none of the answer choices

None of the given answer choices (A, B, D, or E) accurately represents the graphing form of the function g(x) =\(x^2 + 4x - 7\). The function is already in the correct form, and there is no equivalent transformation provided in the answer choices. The given options either represent different equations or incorrect transformations of the original function.

In graphing form, the equation y = \(x^2 + 4x - 7\) represents a parabolic curve. The coefficient a determines the concavity of the curve, where a positive value (in this case, 1) indicates an upward-opening parabola.

The coefficients b and c affect the position of the vertex and the intercepts of the curve. To graph the function, one can plot points or use techniques such as completing the square or the quadratic formula to find the vertex and intercepts. Option C

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Answer:

Step-by-step explanation:

I and II

Pages in a book and leaves on a tree can be counted precisely. They are discrete.

The height of a person cannot be measured exactly. We can get very good

approximations (to a lot of decimal places) but never exact. This is continuous.

Answer:

5

Step-by-step explanation:

6788990-0987654321234567890-=-09876543211234567890-

Answer:

The rule a+b=b+a, for all real numbers a,b, is the commutative law for addition. The fact that we can have g∘h≠h∘g, for some functions g,h, says that composition of functions is not commutative. Composition of functions is not the same as multiplication of functions: f=h∘gmeansf(x)=h(g(x))j=h⋅gmeansj(x)=h(x)g(x).

Answer:-7

Step-by-step explanation:Let's solve your equation step-by-step.

3(3x+1)−(4x+1)=6x−3(x+4)

Step 1: Simplify both sides of the equation.

3(3x+1)−(4x+1)=6x−3(x+4)

3(3x+1)+−1(4x+1)=6x−3(x+4)(Distribute the Negative Sign)

3(3x+1)+−1(4x)+(−1)(1)=6x−3(x+4)

3(3x+1)+−4x+−1=6x−3(x+4)

(3)(3x)+(3)(1)+−4x+−1=6x+(−3)(x)+(−3)(4)(Distribute)

9x+3+−4x+−1=6x+−3x+−12

(9x+−4x)+(3+−1)=(6x+−3x)+(−12)(Combine Like Terms)

5x+2=3x+−12

5x+2=3x−12

Step 2: Subtract 3x from both sides.

5x+2−3x=3x−12−3x

2x+2=−12

Step 3: Subtract 2 from both sides.

2x+2−2=−12−2

2x=−14

Step 4: Divide both sides by 2.

2x /2

=

−14 /2

x=−7

Answer:

(-2).(-4.5) = 40

Step-by-step explanation:

(-2).(-4.5)

= -2. (-20)

= 40

The value of  (-2) x (-4.5) using integer is 9.

Integers come in three types:

Given:

We have multiply (-2) x (-4.5)

As, we know from integers

(-) x (-) = (+)

So, the value after multiplication is positive.

Thus, (-2) x (-4.5)

= 2 x 4.5

= 9

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Answer: 275,400

Step-by-step explanation:

- First we do 18 multiplied by 20 which would get us the answer of 360

- Next we do 45 multiplied by 17 which would get us the answer of 765

- Now we multiply both 360 and 765 and get the answer of 275,400

Step-by-step explanation:

Height of tower - 80m

Distance between foot of tower and boat 1 = x

Distance between boat 1 and boat 2 =y

Tan 45 = 1 = 80/x

x = 80

Tan 30 = 1 / root 3 = 80 / 80 + y

y = 80 root 3 + 80

Answer:

87998.1

Step-by-step explanation:

first you need to know how much percent  out of 100 you are taking away

100-21=79

then you need to find 79% of 111,390

                            79

                 *    111390

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

                                0

                           7110

                        23700

                         79000

                      790000

     +            7900000

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

                   8799810

\100 because it is a percentage

87998.1

Hello and Good Morning/Afternoon

Let's take this problem step-by-step:

Gathering all the information:

            \(\hookrightarrow \text{The population of 2009 is only 79 percent of the population in 1990}\)

Let's set some variables:

Let's set up the equation:

  \(y = 0.79x \\111,390=0.79x\\x = 111390/0.79\\x=141,000\)

Thus the population of Flint, Michigan in 1990 is 141000

Answer: 141000

Hope that helps!

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Answer:

-3.9-3.8

This is the answer correct one I confirmed it with my teacher tution one

Answer:

  $28

Step-by-step explanation:

Each round trip will be double the price of a one-way trip, so will be ...

  2 × $3.50 = $7.00

Diego and his 3 friends will require a total of 4 round-trip tickets for a cost of ...

  4 × $7.00 = $28.00

Answer:i dont know to do this stuff but i think you have to divide i think ???

Step-by-step explanation:

Answer:

5 dollars

Step-by-step explanation:

Let's call the price of a package of pens n, and the cost of a box of paper r.

3n+r=26

2n+7r=49

Multiply the first equation by 7:

21n+7r=182

Subtract the second equation from the first:

19n=133

Divide both sides by 19 to isolate n:

n=7

Plug this back in to find the value of a box of paper:

3(7)+r=26

21+r=26

r=5

Hope this helps!

Answer:

128

Step-by-step explanation:

Answer:128

Step-by-step explanation:

It is 128 because the WHOLE angle is 180 degrees and if 52 degrees are covered the other remaining is b so 180 degrees-52 degrees is 128 degrees

Answer:1333.3 Contiuous

Step-by-step explanation:

 .

4000/3,=1333.3x1,=1333.3

 I'm not sure

A possible vector function that represents the curve of intersection of the two surfaces is r(t) = (5 cos(t), 5 sin(t), 5 cos(t) sin(t))

The cylinder x^2 + y^2 = 25 represents the set of points in 3D space where the distance from the origin to the point (x, y, z) is equal to 5. The surface z = xy represents the set of points in 3D space where the height of the point (x, y, z) is equal to its x-y coordinate.

The curve of intersection of the two surfaces is given by the set of points in 3D space that are simultaneously on the cylinder and on the surface z = xy. This means that for any point on the curve of intersection, the distance from the origin to the point must be equal to 5, and the height of the point must be equal to its x-y coordinate.

We can find a vector function that represents the curve of intersection by parameterising the points on the curve in terms of a scalar parameter t. For example, a possible parameterization of the curve of intersection is:

r(t) = (5 cos(t), 5 sin(t), 5 cos(t) sin(t))

where t is a scalar parameter that ranges over all values between 0 and 2π. The values of x, y, and z are given by 5 cos(t), 5 sin(t), and 5 cos(t) sin(t), respectively, and represent a point on the curve of intersection for each value of t.

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Answer: Those who did not respond may differ in some important way from those who did respond.

Step-by-step explanation:

I took the quiz and got it right.

The answer is C. Those who did not respond may differ in some important way from those who did respond.

Non response bias is the bias caused by the absence of the responses. The participants in the sample are not willing to return their survey. It can cause systematic errors in the sample survey.

Here the situation is that each person in a simple random sample of 1,800 received a survey, and 267 people returned their survey.

So the remaining people are not willing to attend the survey.

Most of the people has not returned the survey. So only the responses of limited participants are taken for the survey, which will miss the large diversity of the opinion.

So those who did not respond may differ in some important way from those who did respond.

Hence the non response cause the results of the survey to be biased due to the fact that those who did not respond may differ in some important way from those who did respond.

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Answer:

B) \(4i\sqrt{2}\)

Step-by-step explanation:

\(\sqrt{-2}=i\sqrt{2}\\\sqrt{-18}=i\sqrt{18}=i\sqrt{9*2}=3i\sqrt{2}\\\\\sqrt{-2}+\sqrt{-18}=i\sqrt{2}+3i\sqrt{2}=4i\sqrt{2}\)

Answer:

55

Step-by-step explanation:

10% of 550 is 55

Answer: 2.6

Step-by-step explanation:

Finding the right trigonometric function to use

In this problem, we have to choose between three trigonometric functions:

sine, cosine, and tangent

Each function relates the angle of a right triangle to 2 of the three sides of the triangle:

the sine of an angle is equal to the ratio of the side opposite to the angle to the hypotenuse of the triangle: \(sin(x)=\frac{opposite}{hypotenuse}\)

\(tan(x)=\frac{opposite}{adjacent}\)

\(cos(x)=\frac{adjacent}{hypotenuse}\)

In this case, we are given the hypotenuse and need to find the side adjacent to the angle, so we will use cosine.

Calculating the adjacent side

Plugging in the values for the hypotenuse and the angle to the cosine equation, we get

\(cos(58)=\frac{x}{5}\\x=5(cos(58))\\\)

Entering into a calculator, we get x≈2.6

Answer:

42 units

Step-by-step explanation:

Area of a trapezoid is always 1/2(b1+b2)*h

so here base 1 is 4 units, and base 2 is 10 units. When we add these we get 14, divided by 2 which is 7, and multiplied by height of 6, which is 42