1. What is the angle of rotation for the following figure?
180°
60°
360°
90°

Answer: 2x2 + 1000 x 1000 = 1000004

Step-by-step explanation: you add on 5 0's to the one and 2x2 = 4 so add on the 4 also

Answer:

1000004

Step-by-step explanation:

First we do can separate it into the parentheses: (2*2) + (1000*1000)

= 4 + 1000000

= 1000004

Answer:

10 units^2

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer: 9

Step-by-step explanation: a, ar, ar^2... a=7, ar=63. solving with substitution gives the common ratio of 9!

Answer:

24 dogs

Step-by-step explanation:

36 divided by 24= 1.5

1.5 times 16=24

so 24 dogs :)

The period of the frequency factor b that is given in the diagram above would be = 0.2 sec.

The frequency of a water wave is defined as the number of times the wave completes a cycle within a given period of time. While the period is the time it takes for the completion of a cycle.

The dot the represents the frequency factor b is the green dot on the wave table. Therefore the period as traced from the graph= 0.2 sec.

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The percentage increase in Hayley's fuel bills from 2021 to 2022 is equal to 17.105%.

What is a Percentage Increase?

The phrase "percentage increase" (or "percentage change" in general) refers to the difference between the final and starting values of a quantity, expressed as a percentage of that number's original value.

Steps to Calculate Percentage Increase?

Here, in the question, it is given that,

The original amount (X) or the fuel bill in 2021 is £76.

The new amount (Y) or the fuel bill in 2022 is £89.

So, the Increase (I) in the fuel bills from 2021 and 2022 is calculated as,

\(I=Y-X\\\implies I=89-76\\\implies I=13\)

Now, we can calculate the percentage increase in fuel bills from 2021 to 2022 as,

\(\%I=\frac{I}{X} \times 100\\\implies \%I=\frac{13}{76} \times 100\\\implies \%I=17.105\%\)

Therefore, the percentage increase in Hayley's fuel bills from 2021 to 2022 is 17.105%.

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The estimate for when the population will exceed 6371 is t > 20.33. This means that at a time greater than 20.33 units

To estimate when the population will exceed 6371, we can set up the inequality:

p(t) > 6371

where p(t) is the population at time t, as given by the equation \(p(t) = 1950e^{0.16t}\)

Substituting the expression for p(t) into the inequality, we get:

\(1950e^{0.16t} > 6371\)

Next, we can divide both sides of the inequality by 1950 to isolate the exponential term:

\(e^{0.16t} > 6371 / 1950\)

To solve for t, we can take the natural logarithm (ln) of both sides, which will eliminate the exponential term:

\(ln(e^{0.16t} > ln(6371 / 1950)\)

Using the property of logarithms that ln(e^x) = x, we get:

\(0.16t > ln(6371 / 1950)\)

Now, we can divide both sides of the inequality by 0.16 to solve for t:

\(0.16t / 0.16 > ln(6371 / 1950) / 0.16\)

Simplifying, we get:

\(t > ln(6371 / 1950) / 0.16\)

Using a calculator, we can find the approximate value of \(ln(6371 / 1950) / 0.16\), which is approximately 20.33 (rounded to two decimal places).

So, the estimate for when the population will exceed 6371 is t > 20.33. This means that at a time greater than 20.33 units

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35 is a reasonable prediction of the number of times he will select 2 yellow socks?

Probability is a measure of the likelihood of an event occurring. It is a number between 0 and 1, where 0 indicates that an event is impossible, and 1 indicates that an event is certain to occur. The probability of an event is calculated by dividing the number of favorable outcomes by the total number of possible outcomes.

In probability theory, an event is a set of outcomes or a subset of a sample space. In simpler terms, an event is anything that can happen, or any possible outcome of an experiment or observation. An event can be a single outcome, or it can consist of multiple outcomes.

In the given question,

The theoretical probability of drawing two yellow socks with replacement from a bag containing equal numbers of red, yellow, green, blue, and purple socks is:

P(drawing two yellow socks) = P(yellow) * P(yellow) = (1/5) * (1/5) = 1/25

So, the probability of drawing two yellow socks from the bag in any given trial is 1/25.

To predict the number of times the child will select two yellow socks in 175 trials, we can use the formula for the expected value of a discrete random variable:

E(X) = n * p

where E(X) is the expected number of times the event occurs, n is the number of trials, and p is the probability of the event occurring in a single trial.

In this case, n = 175 and p = 1/25. So,

E(X) = 175 * (1/25) = 7

Therefore, a reasonable prediction of the number of times the child will select two yellow socks in 175 trials is 7. Since this prediction is not one of the answer choices, the closest option is 35, which is more than five times the expected value. However, this is within the range of possible outcomes due to the random nature of the experiment.

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Answer:

28,42,56,70,84

Step-by-step explanation:

Answer:

14,28,42,56,70

Step-by-step explanation:

hope it helps

Answer:

added in the picture

Step-by-step explanation:

added in the picture

The amount of solution A and B required are 60 and 90 ounces respectively.

Creating simultaneous equations for the problem:

Mass of solution A = a

Mass of solution B = b

a + b = 150 _____(1)

0.65a + 0.90b = 150×0.80

0.65a + 0.90b = 120 __(2)

From (1)

a = 150-b ____(3)

substitute (3) into (2)

0.65(150-b) + 0.90b = 120

97.5 - 0.65b + 0.90b = 120

0.25b = 120-97.5

0.25b = 22.5

b = 22.5/0.25

b = 90

a = 150 - b

a = 150 - 90

a = 60

Therefore , 60 ounces of solution A and 90 ounces of solution B is required.

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Answer:

495 milliliters of the 95% mixture are needed.

Step-by-step explanation:

Given that I need a 90% alcohol solution, and on hand I have a 55 ml of a 45% alcohol mixture, and I also have 95% alcohol mixture, to determine how much of the 95% mixture will I need to add to obtain the desired solution, the following calculation must be performed:

55 x 0.45 + 45 x 0.95 = 67.5

25 x 0.45 + 75 x 0.95 = 82.5

15 x 0.45 + 85 x 0.95 = 87.5

10 x 0.45 + 90 x 0.95 = 90

10 = 55

90 = X

90 x 55/10 = X

4,950 / 10 = X

495 = X

Thus, 495 milliliters of the 95% mixture are needed.

Step-by-step explanation:

first 12^ 12

second 7^11

Answer:

b)  f(x) = -16x² + 8x + 30

Step-by-step explanation:

When a ball is thrown, its path of motion can be modelled as a parabola that opens downwards.

The graph of a quadratic equation f(x) = ax² + bx + c is a parabola.

Therefore,  f(x) = -16x² + 8x + 30  could potentially model the time (in seconds) it takes a ball tossed from a window to touch the ground, as its graph is a parabola that opens downwards.

If this function was used to model the scenario, the height of the window above the ground would be the y-intercept (30 feet), and the time when the ball touched the ground would be the positive x-intercept (approx 1.64 s).

The volume of the composite figure is 2592 cubic feet.

The area that any composite shape covers is known as the area of composite shapes. The composite shape is a shape created by joining a small number of polygons to create the desired shape. These shapes or figures can be constructed from a variety of shapes, including triangles, squares, quadrilaterals, etc. To calculate the area of a composite object, divide it into simple shapes such a square, triangle, rectangle, or hexagon.

The volume of the figure = Volume of the mounted object + Volume of the base object.

The volume of the mounted object is:

V = (l)(b)(h)

V = (9)(12)(6)

V = 648 cubic feet.

The volume of the base object is:

V = (l)(b)(h)

V = (27)(12)(6)

V = 1944 cubic feet.

The total volume of the composite figure is:

V = 648 + 1944

V = 2592 cubic feet

Hence, the volume of the composite figure is 2592 cubic feet.

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Step-by-step explanation:

f(g(x))

= f(4x)

= (4x) - 3. (A)

Step-by-step explanation:

option A is the correct answer according to my opinion .

plz mark my answer as brainlist if you find it useful.

Answer:

A dog needs 4/3 liters of water 2/5 of a day, Therefore

he'll need 4/3 liters for 5/2 day or

4/3 * 5/2 = 20/6 = 10/3 liters or 3 and 1/3 liters per day

Step-by-step explanation:

Answer:

21.17

Step-by-step explanation:

tan= opposite/ adjacent

tan(36)= x/29

0.73= x/29

x= 21.17

Volume of the

The volume of a square base pyramid is given as:

V = A x (h/3)

Where A is the Area of the square base

and h is the height of the pyramid

Area of the base, A = 12.4 ft²

Height of the pyramid, h = 5 ft

The volume of the pyramid is then calculated as:

V = 12.4 x (5 / 3)

V = 12.4 x 1.67

V = 20.71 ft³.

After cοmpleting the task, we can state that The whοle number clοsest tο  expressiοn 7.141 is 7. Therefοre, √51 is clοsest tο the whοle number 7.

The whοle numbers are the part οf the number system which includes all the pοsitive integers frοm 0 tο infinity. These numbers exist in the number line. Hence, they are all real numbers. We can say, all the whοle numbers are real numbers, but nοt all the real numbers are whοle numbers.

Thus, we can define whοle numbers as the set οf natural numbers and 0. Integers are the set οf whοle numbers and negative οf natural numbers. Hence, integers include bοth pοsitive and negative numbers including 0. Real numbers are the set οf all these types οf numbers, i.e., natural numbers, whοle numbers, integers and fractiοns.

√51 is apprοximately equal tο 7.141. The whοle number clοsest tο 7.141 is 7.

Therefοre, √51 is clοsest tο the whοle number 7.

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Answer:

170, 171, 172

Step-by-step explanation:

x + x + 1 + x + 2 = 513

3x + 3 = 513

3x = 510

x = 170

x + 1 = 171

x + 2 = 172

Answer:

0? There's no yellow.

Step-by-step explanation:

The general solution of the logistic equation is y = 14 / [1 - C · tⁿ], where a = - 14² / 3 and C is an integration constant. The particular solution for y(0) = 10 is y = 14 / [1 - (4 / 10) · tⁿ], where n = - 14² / 3.

Herein we have a kind of ordinary differential equation with separable variables, that is, that variables t and y can be separated at each side of the expression prior solving the expression:

dy / dt = 3 · y · (1 - y / 14)

dy / [3 · y · (1 - y / 14)] = dt

dy / [- (3  / 14) · y · (y - 14)] = dt

By partial fractions we find the following expression:

- (1 / 14) ∫ dy / y + (1 / 14) ∫ dy / (y - 14) = - (14 / 3) ∫ dt

- (1 / 14) · ln |y| + (1 / 14) · ln |y - 14| = - (14 / 3) · ln |t| + C, where C is the integration constant.

y = 14 / [1 - C · tⁿ], where n = - 14² / 3.

If y(0) = 10, then the particular solution is:

y = 14 / [1 - (4 / 10) · tⁿ], where n = - 14² / 3.

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Answer:

C

Step-by-step explanation:

subtract and then divide

Answer:

(-1, 4)

General Formulas and Concepts:

Pre-Algebra

Algebra I

Step-by-step explanation:

Step 1: Define systems

10x + 6y = 14

-x - 6y = -23

Step 2: Solve for x

Elimination

Step 3: Solve for y

Step-by-step explanation:

The transformation y = sin(2x) affects the graph of y = sin(x) by compressing it horizontally.

The function y = sin(2x) has a coefficient of 2 in front of the x variable. This means that for every x value in the original function, the transformed function will have half the x value.

To see the effect of this transformation, let's compare the graphs of y = sin(x) and y = sin(2x) by plotting some points:

For y = sin(x):

x = 0, y = 0

x = π/2, y = 1

x = π, y = 0

x = 3π/2, y = -1

x = 2π, y = 0

For y = sin(2x):

x = 0, y = 0

x = π/2, y = 0

x = π, y = 0

x = 3π/2, y = 0

x = 2π, y = 0

As you can see, the y-values of the transformed function remain the same as the original function at every x-value, while the x-values of the transformed function are compressed by a factor of 2. This means that the graph of y = sin(2x) appears narrower or more "squeezed" horizontally compared to y = sin(x).

Therefore, the correct statement is: It is compressed horizontally.

start by writing the function in standard form

The axis of symmetry for a quadratic equation is found in the h of the vertex (h,k)

according to this the vertex can be found by:

The axis of symmetry can be found at x=4

Answer:

Falling action

Step-by-step explanation:

Falling action in a basic plot structure is the events that happen after the climax and before the resolution. This part of your story is often used to show the consequences of the climax and how it affects the characters.

The probability that a single randomly selected can contain 11.9 ounces or less is 0.179.

B. The probability that a randomly selected can contain 11.9 ounces or less can be calculated using the normal distribution. Specifically, we can use the Cumulative Distribution Function (CDF) to find the probability that a randomly selected can will contain 11.9 ounces or less.

We know that the mean of the cans is 12 ounces with a standard deviation of 0.4 ounces. We can use the Z-score to calculate the probability. The Z-score is equal to (11.9 - 12) / 0.4 = -0.25. We then use the Z-score to calculate the probability.

Specifically, we can use the CDF to calculate the probability that a randomly selected can will contain 11.9 ounces or less. The CDF for the normal distribution is given by

P(X ≤ x) = ½[1 + erf(x - μ/σ√2)].

When we plug in the Z-score of -0.25 into the equation, we get

P(X ≤ 11.9) = ½[1 + erf(-0.25)] = 0.179. Therefore, the probability that a single randomly selected can contain 11.9 ounces or less is 0.179.

For the quality control inspector, we can use the sample mean to calculate the probability that the cans will contain 11.9 ounces or less. Specifically, if the sample mean is 11.9 ounces or less, then the probability that the cans will contain 11.9 ounces or less is 1.

If the sample mean is greater than 11.9 ounces, then we can use the normal distribution to calculate the probability. Specifically, we can use the Z-score to calculate the probability. The Z-score is equal to (11.9 - sample mean) / 0.4. We then use the Z-score to calculate the probability using the CDF.

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