i will make you brainlliest whoever answers this right and will give you points Please help me i am having a hard time
Evaluate 14 + (-8) ÷ 2 · -3.

26
-9
-30
15

a) The number of bacteria in the initial population is 34.

b) The exponential growth model is y = 34 * e^(kt)

Given data:

(a) To find the initial population, we can use the exponential growth formula:

y = A * e^(kt)

Where:

y = population at time t

A = initial population

k = growth rate

t = time

Given that there are 105 bacteria after 2 hours, so plug in these values into the formula:

105 = A * e^(k*2)

Similarly,  given that there are 325 bacteria after 4 hours:

325 = A * e^(k*4)

We now have a system of equations:

105 = A * e^(2k)

325 = A * e^(4k)

To solve for A, divide the second equation by the first equation:

325/105 = e^(4k)/e^(2k)

Simplifying further:

325/105 = e^(2k)

Taking the natural logarithm of both sides:

ln(325/105) = ln(e^(2k))

ln(325/105) = 2k

Solving for k:

k = 0.56493

Substitute it back into one of the original equations to solve for A. Let's use the first equation:

105 = A * e^(2k)

Substituting k = ln(325/105) / 2:

105 = A * e^(2 * ln(325/105) / 2)

Simplifying:

105 = A * (325/105)

A = 105 * (105/325)

A ≈ 34 (rounded to the nearest whole number)

Hence, the initial population is approximately 34 bacteria.

(b) Now that we have the initial population, A, and the growth rate, k, we can write the exponential growth model for the bacteria population:

y = 34 * e^(kt)

where t represents the time in hours.

Hence, the exponential equations are solved.

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Answer:

(-3, -5)

Explanation:

Given the function:

First, make y the subject of the equation.

To choose a point that lies on the line, we test the x-values and see if we get the corresponding y-value.

Since the y-value corresponds to the point (-3, -5), the point that lies on the function is (-3, -5).

The equivalent values for the ratio 2 to 3 to 8 is 28kg, 42kg and 112kg

Given the following parameters

Total weight = 182kg

If the weight is divide in the ratio 2:3:8, th3n the total ratio will be;

total ratio = 2 + 3 + 8

Total ratio = 13

For the ratio of 2;

Portion =2/13 * 182

Portion = 28kg

For the ratio of 3;

Portion =3/13 * 182

Portion = 42kg

For the ratio of 8;

Portion =8/13 * 182

Portion = 112kg

Hence the equivalent values for the ratio 2 to 3 to 8 is 28kg, 42kg and 112kg

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Answer:

$30

Step-by-step explanation:

105 divided by 21 gives you 5 which is then multiplied by 6

When the non-refundable fee increases to $15, the y-intercept is also increased to 15. The graph are parallel to each other but only touches the y-axis at 10 and 15 respectively

Linear equations are equations of the first order. The linear equations are defined for lines in the coordinate system. When the equation has a homogeneous variable of degree 1 (i.e. only one variable), then it is known as a linear equation in one variable. A linear equation can have more than one variable.

Linear equations are generally represented in the form

y = mx + c

The y-intercept is the point at which the graph touches the y - axis

In the question, we are given an equation f(h) = 8h + 10

The slope and y - intercept here are 8 and 10 respectively.

However, when the non-refundable deposit is increased to 15, the y - intercept is increase by 5 units to becomes 15.

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Answer:

The 11 symmetries of a regular octagon. Lines of reflections are blue through vertices, purple through edges, and gyration orders are given in the center.

...

Symmetry of octagon.

r16

d8 g8 p8

d2 g2 p2

a1

Step-by-step explanation:

Hope it helps! Correct me if I am wrong :>

Im sure about my answer

Can you please mark me as brainlest?

point coordinates for the mid segment of the parallel to PQ segment of the PQR is ST point is (-3.5, 0.5) and (-1, -0.5).

Given that,

We have to find what are the endpoint coordinates for the middle portion of the parallel to PQ segment of the PQR.

We know that,

First we write the co-ordinates of the triangle in the given graph.

P is (-3,3)

Q is (2,1)

R is (-4,-2)

The triangle's midpoint, which is parallel to section PQ, must be located. As a result, we would need to locate the midpoints of the segments PR and QR before joining the points to obtain the mid segment.

Midpoint Formula is

(x₁+x₂/2, y₁+y₂/2)

So,

The midpoint of the side PR is

(-3+(-4)/2, 3+(-2)/2)

(-3-4/2, 3-2/2)

(-7/2,1/2)

So, S point is (-3.5, 0.5)

The midpoint of the side QR is

(2+(-4)/2, 1+(-2)/2)

(2-4/2, 1-2/2)

(-2/2,-1/2)

So, T point is (-1, -0.5)

Therefore, The endpoint coordinates for the mid segment of the parallel to PQ segment of the PQR is ST point is (-3.5, 0.5) and (-1, -0.5).

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For this case we have the following functions:

y = 4x

y = 4 ^ x

We observed that :

The graph y = 4 ^ x is growing faster than y = 4x, because for smaller values of x, it has the same range as y = 4x.

Answer:

The graph y = 4 ^ x is growing faster than y = 4x

answer is b

Answer:

B is your answer

Step-by-step explanation:

just took on edge 2021

Answer:

one pen costs 0.5 euros

one rubber costs 0.75 euros

Step-by-step explanation:

4p+5r=5.75

p+4r=3.5

  -4r.   -4r

p=3.5-4r

4(3.5-4r)+5r=5.75

14-16r+5r=5.75

14-11r=5.75

-14.     -14

-11r=-8.25

r=0.75

One rubber cost 0.75 euros

Now to find cost of one pen we just fill in what we know

p+4(0.75)=3.5

p+3=3.5

 -3.  -3

p=0.5

1 pen cost 0.5 euros

Hopes this helps please mark brainliest

Answer:

The answer is graph D since y int = 3(1)+4 which is 7, that graph crosses y at 7

Answer:  (a 0.35) (b 33.18) (c 2.1) (d 0.0861) (e 0.322) (f 48) (g 5.491) (h 183.372)

Step-by-step explanation: what i did here is just take out the decimal and then multiply then after i put it where it makes more sense.

Answer:

The probability is 1/4, give me brainliest answer

The step by step solution to this is very simple, There are two "A" spots on the wheel and 8 spots all together. 2/8= 1/4= 25%

Answer: 3/5

Step-by-step explanation:  

The probability of spinning a one can be written as a fraction. One out of five sections contain a '1' and so, the probability of spinning a one is 1 / 5 . Because 1 is less than half of 5, this outcome can be described as unlikely. The probability of spinning a two is 3 / 5.

The present value of the loan, rounded to the nearest cent, is $37,196.88.

To calculate the present value of a loan, we can use the formula for the present value of an ordinary annuity:

PV = PMT * ((1 - (1 + r)^(-n)) / r),

where PV is the present value, PMT is the periodic payment, r is the interest rate per period, and n is the number of periods.

In this case, the periodic payment is $3,400, the interest rate is 5.19% compounded semi-annually, and the loan term is 7 years, which is equivalent to 14 semi-annual periods.

First, let's convert the interest rate to its semi-annual equivalent by dividing it by 2. So, the interest rate per semi-annual period is 5.19% / 2 = 2.595%.

Now, we can plug these values into the formula:

PV = $3,400 * ((1 - (1 + 0.02595)^(-14)) / 0.02595).

Calculating this equation, we find that the present value of the loan is approximately $37,196.88 when rounded to the nearest cent.

Therefore, the present value of the loan, rounded to the nearest cent, is $37,196.88.

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Answer:

4th answer is correct

Step-by-step explanation:

First, let us make x the subject.

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

Use cross multiplication.

\(\sf 7(x+4)=4(y+7)\)

Solve the brackets.

\(\sf 7x+28=4y+28\)

Subtract 28 from both sides.

\(\sf 7x=4y+28-28\\\\\sf7x=4y\)

Divide both sides by 7.

\(\sf x=\frac{4y}{7}\)

Now let us find the value of x/4.

To find that, replace x with (4y/7).

Let us find it now.

\(\sf \frac{x}{4} =\frac{\frac{4y}{7} }{4} \\\\\sf \frac{x}{4} =\frac{4y}{7}*\frac{1}{4} \\\\\sf \frac{x}{4} =\frac{4y}{28}\\\\\sf \frac{x}{4} =\frac{y}{7}\)

Answer:

14. Three points tat are not collinear

Three points that are not colinear consist of a line and a third point, therefore, joining all three points form a flat figure having a length and a width which is a two-dimensional flat figure or a plane

15. A line and a point not lying on the line

Like the example above, the joining of the points results in a two dimensional figure having a length and a width also known as a planar surface

16. Two lines which intersect at a point

Given two lines that intersect at a point, joining the other end point of the two lines results in the forming of a flat figure, that can be described in two dimensions also known as a planar surface or plane

Step-by-step explanation:

A plane in mathematics is a flat surface that has only two dimensions and extends infinitely in all directions

Answer:

10

Step-by-step explanation:

2-digit numbers are numbers that have two digit which they start from 10-99 so in this question i chose 10 as an example.

By using factoring by grouping or synthetic division, we find that \(x = -2\) is a real solution.

Checking for Rational Roots

Using the rational root theorem, the possible rational roots of the polynomial are given by the factors of the constant term (24) divided by the factors of the leading coefficient (-4).

The possible rational roots are ±1, ±2, ±3, ±4, ±6, ±8, ±12, ±24.

By substituting these values into \(f(x)\), we find that \(f(-2) = 0\). Hence, \(x + 2\) is a factor of \(f(x)\).

Dividing \(f(x)\) by \(x + 2\) using long division or synthetic division, we get:

Now, we have reduced the problem to factoring \(-4x³ + 18x² - 16x + 12\).

Attempt 2: Factoring by Grouping

Rearranging the terms, we have:

Factoring out common factors, we obtain:

Now, we have \(2x^2(-2x + 9) + 4(4x - 3)\). We can further factor this as:

Therefore, the fully factored form of \(f(x) = -4x⁴  + 26x³  - 50x² + 16x + 24\) is \(f(x) = (x + 2)(2x² + 4)(-2x + 9)\).

Solutions to the polynomial equations:

Using polynomial division or synthetic division, we can find the quadratic equation \((x + 2)(x² + 2x - 3)\). Factoring the quadratic equation, we get \(x² + 2x - 3 = (x +

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Answer:

13

Step-by-step explanation: so youre solving for n, so add -1 to 12, which makes 13. you add because you remove the negative sign from one.

Answer:

m+n

Step-by-step explanation:

The angles that form linear pairs are ∠SRT and ∠TRU, and ∠VRW and ∠WRS. These pairs of angles are adjacent and their measures add up to 180 degrees, making them linear pairs.

To determine which angles are linear pairs, we need to identify pairs of adjacent angles whose measures add up to 180 degrees. Based on the given angles, ∠SRT and ∠TRU form a linear pair because they are adjacent and their measures add up to 180 degrees.

Similarly, ∠VRW and ∠WRS also form a linear pair because they are adjacent and their measures add up to 180 degrees. On the other hand, the remaining angle pairs, ∠SRT and ∠TRV, ∠VRU and ∠URS, and ∠URW and ∠WRS, do not meet the criteria for being linear pairs since their measures do not add up to 180 degrees.

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The poster dimensions are 18 inches by 39 inches, or (18, 39).

We know that Megan cuts out a rectangle with dimensions,
The remaining paper is used to wrap an 11-inch cube with no paper wasted, and there are 3 square inches left over.

Multiplying by 6 to eliminate fractions, we get:
6ab - ab - 15a - 2b + 180 = 7980
Rearranging and factoring, we get:
(5a - b)(a - 6) = 7640
Since b>a, we know that 5a-b must be positive, and thus a-6 must also be positive.

Therefore, we can set up a system of equations:
5a - b = x
a - 6 = \(\frac{7640}{x}\)
Solving for a and b, we get:

b = 5a - x
We know that the difference between the length and width of the poster is less than 50, so we can set up an inequality:
The remaining wrapping paper has an area equal to the original poster area minus the cutout area.

We know that the remaining paper is used to wrap an 11-inch cube, which has a surface area of 6(22)=726 square inches, and there are 3 square inches leftover.
Now, we are given that b>a and b-a<50. We can start by testing different integer values for a and b within the given range to see which pair of values satisfies the equation.
After testing values, we find that (a, b) = (18, 39) is the solution that satisfies the equation and the given constraints.

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We can use Coulomb's law to calculate the magnitude of the electric field at a distance r away from a point charge Q:

E = k * Q / r^2

where k is Coulomb's constant, Q is the charge of the point charge, and r is the distance from the point charge.

In this problem, we have a point charge Q of -10 nC located at (1.2 cm, 0 cm), and we want to find the x-component of the electric field at a distance r = 5.3 cm away at position (-4.1 cm, 0 cm).

To find the x-component of the electric field, we need to use the cosine of the angle between the electric field vector and the x-axis, which is cos(180°) = -1.

So, the x-component of the electric field at position (-4.1 cm, 0 cm) is:

E_x = - E * cos(180°) = - (k * Q / r^2) * (-1)

where k = 9 x 10^9 N*m^2/C^2 is Coulomb's constant.

Substituting the given values, we get:

E_x = - (9 x 10^9 N*m^2/C^2) * (-10 x 10^-9 C) / (0.053 m)^2

E_x ≈ -30,566.04 N/C

Rounding this to two significant figures and including the appropriate units, we get:

The x-component of the electric field is about -3.1 x 10^4 N/C (to the left).

For the above case, the graph of the linear equation y = 20 + 10x

Each solution inside the scenario involving two variables may be thought of as the Cartesian coordinates of a specific point on the Euclidean plane.The answers to a linear equation create a line inside the Euclidean plane, and each line may be considered as the sum of all solutions to a linear model with two variables.

This is how this type of equation became known as “linear.” The solutions to an equation system with integer variables form a hyperplane in Euclidean space with size n (a subdomain of dimension n1).

Because linear equations typically properly reflect nonlinear systems, they are widely employed in all fields.

Mathematics as well as in physics and engineering.

Here the equation is given as  y = 20 + 10x

Therefore at x = 0 ,  y = 20 and at y = 0, x = -2

This represents that the fixed monthly fee is 20 and the daily fee is 10.

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Answer:

This is a function and there is no value of x for which we will get two or more different values of y.

Step-by-step explanation:

Now, this is a function and there is no value of x for which we will get two or more different values of y

The equation is y = 2x

bye

Answer:

h/2 + 3.4 = w

Answer:

2x+3(10+x)

Step-by-step explanation:

I'm not sure but I think this might be the answer

Step-by-step explanation:

x+5=0

x= -5

(R)=P(-5)

= -5^3+2*(-5)^2-13*(-5)+10

= -125+50+65+10

= 0

Step-by-step explanation:

what the other answer tries to say is that it proves that x = -5 is a 0 point of the function P(x).

and that means that (x + 5) is a factor.

because the factors of such a polynomial are the terms of x that would bring the whole expression to 0.

so, but now to the actual division :

x³ + 2x² - 13x + 10 ÷ x + 5 = x² - 3x + 2

- x³ + 5x²

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

0 - 3x² - 13x

- - 3x² - 15x

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

0 2x + 10

- 2x + 10

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

0 0

as the remainder is 0, this shows that (x + 5) is a factor.

The answer choice which correctly represents a scenario modelled by the given equation as required is; A pair of boots is on sale for 65 percent of the original cost. The original price of the boots is x, $56.12.

As evident in the task content; the given equation is; (x) (0.65) = 36 dollars and 48 cents which can be written algebraically as;

0.65x = 36.48

x = 36.48 / 0.65

x = $56.12.

On this note, by observation; it follows that 0.65 is equivalent to 65% and hence, it can be inferred that;

The original price of the boots is; x which is equal to $56.12 and whose 65% equivalent is; $36.48.

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Answer:

c on edge

Step-by-step explanation:

i hate edge