Sketch a graph of the following given their key features.

y = −3(x + 6)

(a) Slope/Scale Factor/Lead Coefficient:

(b) End Behavior:

(c) x-intercept(s):​

On day 5, the approximate number of mosquitoes in the population is 30.

The mosquito population follows the growth rate function m(t) = 12.1(1.2)^t, where t represents time in days. Given that the mosquito population is 649 at t = 0, we can determine the number of mosquitoes on day 5 by substituting t = 5 into the growth rate function.

m(5) = 12.1(1.2)^5

Calculating this expression, we find:

m(5) ≈ 12.1(1.2^5) ≈ 12.1(2.48832) ≈ 30.055792

Rounding this value to the nearest whole number, we get:

m(5) ≈ 30

Therefore, on day 5, the approximate number of mosquitoes in the population is 30.

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Answer:

A.) CPCTC (Please mark Brainliest)

Step-by-step explanation:

First triangle is proven congruent then parts are said to be congruent

Answer:

Loading,please wait...

Step-by-step explanation:

Answer:     4

Step-by-step explanation:

That should be your answer

Answer:

$1.45

Step-by-step explanation:

Please let me know if you want me to add an explanation as to why this is the answer/how I got this answer. I can definitely do that, I just wouldn’t want to write it if you don’t want me to :)

Answer:

7x/2 + 8/2 =9x+1

7x+8=2 (9x+1)

7x+8=18x+2

8-2=18x-7x

6=11x

6/11=11x/11

6/11=x

x=6/11

Answer:

C.7, -2

Step-by-step explanation:

A quadratic equation is a polynomial of degree two. A quadratic equation is in the form:

ax² + bx + c = 0; where a, b, c are constants.

Quadratic equation can be solved using different methods, such as completing the square method, quadratic formula.

Solving the equation 2x² - 10x - 20 = 8 using completing the square:

2x² - 10x - 20 = 8

2x² - 10x = 28

Divide through by 2, to make the coefficient of x² to be 1:

x² - 5x = 14

Add to both sides, the square of half of the coefficient of x [i.e. (-5/2)² = 6.25]

x² - 5x + 6.25 = 14 + 6.25

(x - 2.5)² = 20.25

taking square root of both sides:

x - 2.5 = √20.25

x - 2.5 = ±4.5

x = 2.5 ± 4.5

x = 2.5 + 4.5; or x = 2.5 - 4.5

x = 7 or x = -2

Answer:

None of them are

(4,-4)

Step-by-step explanation:

To find the value of x make y =0 then substitute into the formula. Therefore 0 = x-4 then make x the subject by adding 4 to the other side 4+0=x.

Then to find the value of y make x=0 then substitute it into the formula y=0-4 which is equal to - 4

I hope this helps

 The dot product of vectors QP and QR is then calculated by multiplying their corresponding components and summing them up. By comparing the dot product to zero, we can determine if the triangle is right-angled. In this case, the dot product is not zero, so the triangle is not right-angled.

To determine the vector QP, we subtract the coordinates of point P from the coordinates of point Q. Similarly, to find the vector QR, we subtract the coordinates of point R from the coordinates of point Q.
To find the vector QP, we subtract the coordinates of point P from the coordinates of point Q:
QP = (1-0, -2-(-5), -5-(-3)) = (1, 3, -2)
To calculate the vector QR, we subtract the coordinates of point R from the coordinates of point Q:
QR = (5-1, -4-(-2), -6-(-5)) = (4, -2, -1)
To find the dot product of QP and QR, we multiply their corresponding components and sum them up:
QP · QR = (1*4) + (3*-2) + (-2*-1) = 4 - 6 + 2 = 0
Since the dot product is zero, it indicates that the vectors QP and QR are perpendicular, or orthogonal, to each other. However, to determine if the triangle is right-angled, we need to consider the lengths of the sides as well. Since the dot product alone does not provide information about the lengths of the sides, we cannot conclude that the triangle is right-angled based solely on the given information. Therefore, the correct answer is that the triangle is not right-angled.

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Answer:

see explanation

Step-by-step explanation:

We require to create 2 equations with the repeating value placed after the decimal point.

let x = 2.1616...... → (1) Multiply both sides by 100

100x = 216.1616..... → (2)

Subtract (1) from (2) to eliminate the repeating decimal.

99x = 214 ( divide both sides by 99 )

x = \(\frac{214}{99}\) = 2 \(\frac{16}{99}\) as a mixed number

Thus

2.1616...... = \(\frac{214}{99}\) = 2 \(\frac{16}{99}\)

Answer:

8 units²

Step-by-step explanation:

The area (A) of the shaded part (right triangle ) is calculated as

A = \(\frac{1}{2}\) × area of rectangle

   = 0,5 × 4 × 4 = 0.5 × 16 = 8 units²

Answer:

8 units ^2 are shaded

Step-by-step explanation:

The total area of the square is 4 * 4 = 16

1/2 of the square is shaded so

1/2 * 16 = 8

8 units ^2 are shaded

Answer: the answer to this is true

Answer:

y=-7x+19

Step-by-step explanation:

y-y1=m(x-x1)

y-5=-7(x-2)

y=-7x+14+5

y=-7x+19

The equation of the line with slope - 7 which goes through the point (2, 5) is

y = - 7x - 19.

We know lines have various types of equations, the general type is

Ax + By + c = 0, and the equation of a line in slope-intercept form is

y = mx + b.

Where slope = m and b = y-intercept.

the slope is the rate of change of the y-axis with respect to the x-axis and the y-intercept is the (0,b) where the line intersects the y-axis at x = 0.

Given, A line passes through points (2, 5) with a slope of - 7.

∴ 5 = -7(2) + b in slope-intercept form.

5 = - 14 + b.

b = - 19.

y = - 7x - 19.

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The value of h(3,6) for the given function h(x, y) = √(3x + y²) is 3√5.  The correct option is C.

Given the function h(x, y) = √(3x + y²),

we need to find the value of h(3,6).

The value of h(3,6) can be obtained by substituting x = 3 and y = 6 in the given function.

h(x, y) = √(3x + y²)

Input values of x and y.

⇒ h(3, 6) = √(3(3) + 6²)

⇒ h(3, 6) = √(9 + 36)

⇒ h(3, 6) = √45

= √(9 × 5)

⇒ h(3, 6) = 3√5

Hence, the value of h(3,6) for the given function h(x, y) = √(3x + y²) is 3√5.

Thus, the correct option is C.

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Answer:

Hey there!

The rule for converting milligrams to grams is dividing by 1000.

So, 32372 milligrams would be 32.372 grams.

Let me know if this helps :)

Answer: H

Step-by-step explanation:

The cost of $5 has not meaning for what we want.  The are only trying to figure out the number each bought so that was thrown in to throw you off.

you know they  bought 14 total DVDs

n+L=14   the number norma bought + number Lauretta bought is 14

Th next key sentence is Norma purchased two and a half times as Luaretta

In the sentence:

Norma is n  

purchased is your = sign  (usually in word problems "is" "costs" etc is =

Two and 1 half  \(2\frac{1}{2}\) = \(\frac{5}{2}\)

times is * (multiplied)

Lauretta is l

Substitute each symbol for each work

Norma(n) purchase(=) two and a half \(\frac{5}{2}\) times* L

n= \(\frac{5}{2}\)L

n+L=14    these are your 2 equations  H

According to the question \(\(L(f,Q) \leq U(f,P)\) and \(U(f) = \inf\{U(f,P)\) : \(P \text{ is a partition of } [a,b]\}\) and \(L(f) = \sup\{L(f,P) : P \text{ is a partition of } [a,b]\}\) with \(L(f) \leq U(f)\).\)

(a) To prove that \(\(L(f,Q) \leq U(f,P)\)\) for any partitions \(\(P\)\) and \(\(Q\)\) of \(\([a,b]\)\), we can use the properties of lower sums and upper sums.

Since \(\(P\)\) is a partition of \(\([a,b]\)\), it consists of subintervals \(\([x_{i-1},x_i]\) for \(i = 1, 2, \ldots, n\) where \(x_0 = a\) and \(x_n = b\)\). Similarly, \(\(Q\)\) consists of subintervals \(\([y_{j-1},y_j]\)\) for \(\(j = 1, 2, \ldots, m\)\) where \(\(y_0 = a\) and \(y_m = b\).\)

Now, by the definition of lower and upper sums, we have:

\(\[L(f,Q) = \sum_{j=1}^{m} \inf_{[y_{j-1},y_j]} f(x) \cdot \Delta y_j \quad \text{and} \quad U(f,P) = \sum_{i=1}^{n} \sup_{[x_{i-1},x_i]} f(x) \cdot \Delta x_i\]\)

Since each subinterval \(\([y_{j-1},y_j]\)\) of \(\(Q\)\) is also contained in some subinterval \(\([x_{i-1},x_i]\)\) of \(P\), we have:

\(\[\inf_{[y_{j-1},y_j]} f(x) \leq \sup_{[x_{i-1},x_i]} f(x)\]\)

Therefore, each term in the lower sum \(\(L(f,Q)\)\) is less than or equal to the corresponding term in the upper sum \(\(U(f,P)\)\), and hence we can conclude that \(\(L(f,Q) \leq U(f,P)\)\).

(b) To prove that \(\(U(f) = \inf\{U(f,P)\) : \(P \text{ is a partition of } [a,b]\}\) and \(L(f) = \sup\{L(f,P) : P \text{ is a partition of } [a,b]\}\)\) both exist and \(\(L(f) \leq U(f)\)\), we need to show that the infimum and supremum are well-defined and that the inequality holds.

Since \(\(f\)\) is bounded on \(\([a,b]\)\), there exist lower and upper bounds for \(\(f\)\). Let's denote the set of all upper sums of \(\(f\)\) as

\(\(S_U = \{U(f,P) : P \text{ is a partition of } [a,b]\}\)\). Similarly, let's denote the set of all lower sums of \(\(f\)\) as \(\(S_L = \{L(f,P) : P \text{ is a partition of } [a,b]\}\)\).

Since \(\(S_U\)\) consists of upper sums of \(\(f\)\), it is bounded below by the lower bound of \(\(f\)\), and therefore, the infimum of \(\(S_U\)\) exists. Similarly, since \(\(S_L\)\) consists of lower sums of \(\(f\)\), it is bounded above by the upper bound of \(\(f\)\), and hence, the supremum of \(\(S_L\)\) exists.

Finally, since the infimum of \(\(S_U\)\) represents the greatest lower bound of the upper sums and the supremum of \(\(S_L\)\) represents the least upper bound

of the lower sums, we have \(\(L(f) = \sup S_L\)\) and \(\(U(f) = \inf S_U\)\).

Moreover, since every lower sum is less than or equal to every upper sum (as shown in part \((a))\), we have \(\(L(f) \leq U(f)\)\), completing the proof.

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54÷2 since there 2 girls for each boy so 2 girls for 1 boy and there 54 girls

54÷2=27

so there 27 boys in the league

Answer: 27

Step-by-step explanation: if there are 2 girls per one boy, it's a 2:1 ratio. so for every 6 girls there are 3 boys. so whatever amount of girls there is, half of that is is the amount of boys, 54/2=27 so, there are 27 boys for 54 girls.

Hope this helps ^_^

Answer:

where's the rest of the question⁉️

Answer:

yes it is very easy

Step-by-step explanation:

Answer:

Yeah l ready did.

Me and you brainlist friends

Step-by-step explanation:

well, for the piece-wise function, we know that hmmm x = -1, -1 is less 1, so the subfunction that'd apply to that will be -2x + 1, because on that section "x is less than or equals to 1".

so f(-1) => -2(-1) + 1 => 3.

Answer:3

Step-by-step explanation:

In this case x=-1 so you will use the top equation because x<1

so f(-1) = -2(-1) + 1

          = 2+1

           =3

Yes, that is correct. The notation P(z < a) represents the probability that a standard normal distribution variable Z is less than a particular value "a".

what is probability?

Probability is a measure of the likelihood of an event occurring. It is a number between 0 and 1, where 0 indicates that the event is impossible, and 1 indicates that the event is certain to happen. The probability of an event A is typically denoted as P(A) and is calculated as the number of ways that event A can occur divided by the total number of possible outcomes. Probability is used in a wide range of fields, including mathematics, statistics, physics, finance, and engineering.

what is statistics?

Statistics is a branch of mathematics that involves the collection, analysis, interpretation, presentation, and organization of data. It includes a variety of methods for collecting data, such as surveys, experiments, and observational studies. Statistical methods are used to summarize and analyze the data, and to draw conclusions and make predictions about the population from which the data is sampled. The results of statistical analyses can be used in a variety of fields, including business, social sciences, natural sciences, and engineering.

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Rhonda has approximately 0.77 seconds to react before the volleyball hits the ground.

To calculate the time Rhonda has to react, we need to determine how long it takes for the volleyball to reach the ground after Marsha serves it. We can use the equation of motion, which relates the initial velocity (u), time (t), and height (h) of an object in free fall.

The initial velocity of the volleyball is 15 ft/s in the upward direction. Since the ball is 3.5 feet above the ground when struck, we consider the total distance traveled by the ball as the sum of the initial height and the height of the fall.

Using the equation h = ut + (1/2)gt^2, where g is the acceleration due to gravity (approximately 32.2 ft/s^2), we can rearrange the equation to solve for time (t):

3.5 = 15t - (1/2)(32.2)t^2

Simplifying this quadratic equation, we get:

16.1t^2 - 15t + 3.5 = 0

Solving this equation, we find two roots: t ≈ 0.23 s and t ≈ 1.08 s. Since we are interested in the time it takes for the ball to hit the ground, we discard the smaller root (0.23 s) because it corresponds to the time it takes for the ball to reach its maximum height.

Therefore, Rhonda has approximately 1.08 seconds - 0.31 seconds (the time it takes for the ball to reach its initial height) = 0.77 seconds to react before the volleyball hits the ground.

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Time spend on science homework is 16 minutes and time spend on math homework is 48 minutes.

Two or more expressions with an Equal sign is called as Equation

Given that,

The time spend on math homework =  3 times time spend on science homework,

Also, total time spent on math and science both homework = 64 minutes.

Let time spend by Max on science homework is t minutes,

Then by given condition, time spend on math homework = 3t

Total time = 64 minutes

t + 3t = 64 minutes

4t = 64 minutes

Divide both sides by t

t = 16 minutes

Hence, Time spend on science homework is 16 minutes and time spend on math homework is 48 minutes.

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Answer:

Step-by-step explanation:

2 x 5=10

5x5=25

a=10

b=25

1)The slope of the line is C) 13. 2)It would be inefficient since it is not the most optimal use of resources.the correct option is C. 3)The equilibrium price and quantity are D) $25 and 10 dozens of roses per day, respectively.

1) Y = 13X + 38, where Y is a function of X.

The slope of the line is 13.

Therefore, the correct option is C.

2) Kolin catches 25 fish and gathers 70 fruits. If we consider the combination, then it would be inefficient since it is not the most optimal use of resources.

Therefore, the correct option is C.

3) Using the given figure, we can see that the point where the demand and supply curves intersect is the equilibrium point. At this point, the equilibrium price is $25 and the equilibrium quantity is 10 dozens of roses per day.

Therefore, the correct option is D. The equilibrium price and quantity are $25 and 10 dozens of roses per day, respectively.

Note that this is the point of intersection between the demand and supply curves, which represents the market equilibrium.

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Answer:

I think I had a 6 streak going on but I blew it yesterday

Step-by-step explanation:

Answer:

My answer streak is 20. Sorry I’m new

Answer:

Kite

Step-by-step explanation:

The kite has lines that criss cross which are not parallelograms.

Answer:

trapezium

Step-by-step explanation:

A trapezium is the quadrilateral that is not a parallelogram as its two sides are not parallel.

Answer:

This is what I found from google

Answer:

\((3\, y + 2\, z)^{2} - (3\, y - 2\, z)^{2} = 24\, y\, z\)

Step-by-step explanation:

Make use of the fact that for any \(a\) and \(b\):

\(\begin{aligned}& (a + b)\, (a - b) \\ =\; & a^{2} - a\, b + a\, b - b^{2} \\ =\; & a^{2} - b^{2}\end{aligned}\).

In other words, the difference \((a^{2} - b^{2})\) between two squares could be written as the product of \((a + b)\) and \((a - b)\).

Apply this identity to rewrite and simplify the expression in this question. In this example, \(a = 3\, y + 2\, z\) whereas \(b = 3\, y - 2\, z\).

\(\begin{aligned} & \underbrace{(3\, y + 2\, z)^{2}}_{a^{2}} - \underbrace{(3\, y - 2\, z)^{2}}_{b^{2}} \\ =\; & \underbrace{((3\, y + 2\, z) + (3\, y - 2\, z))}_{(a + b)}\\ &\times \underbrace{((3\, y + 2\, z) - (3\, y - 2\, z))}_{(a - b)} \\ =\; &6\, y\, (3\, y + 2\, z - 3\, y + 2\, z) \\ =\; & 24\, y \, z \end{aligned}\).