model 12 more than 35 on the number line​

If m∠A > 30, an inequality which must be true include the following: 1. m∠B < 20°

In Mathematics, the exterior angle theorem or postulate can be defined as a theorem which states that the measure of an exterior angle in a triangle is always equal in magnitude (size) to the sum of the measures of the two remote or opposite interior angles of that triangle.

By applying the exterior angle theorem, we can reasonably infer and logically deduce that the sum of the measure of the two interior remote or opposite angles in the given triangle is equal to the measure of angle C (∠C);

m∠A + m∠B = B∠C

m∠B = B∠C - m∠A

m∠B = 50° - 40°

m∠B = 10°

Therefore, m∠B < 20°

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Missing information:

The question is incomplete and the complete question is shown in the attached picture.

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.

ANSWER:    I can give you the steps to figure out this question.

1  if it is starting at the 6 on the y axis, then just do up 1 over 1 until you get to the 10

The answer to your question is..... 6y+1=4x+10

It can be inferred that the word problem that matches the information will be C. Carla needed 7/8 feet of material to make 2 bags. How much material did she need?

It should be noted that a word problem simply means an exercise where the background information of the problem is given in ordinary language.

In the model, it can be seen that in the first box, there are 7 green colors out of 8. Also, in the second model, there are 2 white colors that aren't shaded.

Therefore, the word problem is that Carla needed 7/8 feet of material to make 2 bags. How much material did she need?

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Answer:

41

Step-by-step explanation:

5(4) - 7(-3)

20 + 21 (because it's a negative times a negative and that equals a positive)

41

Answer:

Step-by-step explanation:

5(4)-7(-3)= 20+21=41

Answer: \((f \cdot g)(x) = x^4-11x^2+30.\)

Step-by-step explanation:

We want to find the value of \(f(g(x)).\) To do this, we plug in \(g(x)\) into the expression for \(f(x).\) This gives us:

\(f(g(x)) = (x^2-9)^2+7(x^2-9)+12 = x^4-18x^2+81+7x^2-63+12 = \boxed{x^4-11x^2+30}.\)

Step-by-step explanation:

there is nothing missing. this is a complete proof.

yes, the various steps are correct.

So, here on solving the provided question, we can say that  \(5^{2/3}\) to write it without exponent = \(25^{1/3} = 1.70997594668\) and \(4^{-3/2} = 64^{1/2} = 8\)

Exponentiation, often known as "b raised to the nth power," is a mathematical operation denoted by the symbol bn that involves two numbers: a base number, b, and an exponent, or power, n. Exponents show how many times a number has been multiplied by itself. As an illustration, 2-3 (written as 23) denotes: 2 x 2 x 2 = 8. 23 is not equivalent to 2 + 3 = 6. Recall that an integer raised to the power of one equals itself. A approach to express huge numbers as powers is through the use of exponents. Exponent, then, is the quantity that indicates how many times a number has been multiplied by itself. As an illustration, 6 is multiplied by 4 to provide 6 x 6 x 6 x 6. It may be expressed as 64.

here,

we have \(5^{2/3}\) to write it without exponent = \(25^{1/3} = 1.70997594668\)

and \(4^{-3/2} = 64^{1/2} = 8\)

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Answer:

x=36

Step-by-step explanation:

if PQR is isosceles then

PRQ will also equal 69 degrees

straight line = 180 degrees

so if PRQ is 69, then

PRS = 180-69

= 111 degrees

now to find x , since we have two angles within that triangle

180 - 111 - 33 = 36 degrees

Answer:

b = 3

Step-by-step explanation:

(2,5) is information! x = 2 and y = 5.

Use these values in the equation:

y = x + b

5 = 2 + b

Subtract 2.

3 = b

The equation of the line is y = x + 3.

Answer:

Where is the question? First tell the question then I think I can help you

Consider that the length of arc (L) of a circle with radius (R) and central angle (Θ) is given by the formula,

Given the radius as 6 units, and the central angle 330 degrees, the length of arc is calculated as,

Thus, the length of the arc is 34.55 units approximately.

Answer:

uhmmmmm... i no understand...

Step-by-step explanation:

Answer:

25 baggies; each bag has 2 blueberry scones, and three cranberry scones.

Step-by-step explanation:

The question format is a bit bugged, but I assume the question is asking "You have 50 blueberry scones and 75 cranberry scones. You want to make as many identical bags as possible. What is he greatest number of bags you can fill?"

The first thing to realize when solving this question is that whatever the answer is equal to, it must be able to be equally divided from both 50 and 75, otherwise it will have a remainder, and at least one bag will have too many or not enough scones.

This means that the answer must be a factor of both 50 and 75.

The factors of 50 includes {1, 2, 5, 10, 25, 50}

The factors of 75 includes {1, 3, 5, 15, 25, 75}

In the two sets, only 1, 5, and 25 are common factors. Of the three factors, 25 is the greatest number, and thus the greatest number of bags that can you can fill.

Answer:

-0.28, 1.78

Step-by-step explanation:

Plug it into a graphing calculator and see you have -0.281 as a intersection as well as 1.781. Then you round to the nearest hundred and get -0.28 and 1.78.

Answer:

16 factors

Step-by-step explanation:

I hope this helps

Have an amazing day!

Answer: 23.76 sq yds

Step-by-step explanation:

0.5*9.9*4.7=23.76

Area of triangle: 0.5*b*h

The time taken for the rocket to reach its maximum height as required in the task content is; 2.25 seconds.

The maximum height reached by the toy rocket is; 88 feet.

It follows from the task content that the maximum height reached by the rocket is to be determined.

The given function is; h (t) = -16 t² + 72t + 7.

Since it follows from evaluation that; at maximum height, the rate of change of height to time is equal to 0.

Therefore; at maximum height;

h'(t) = 0

h'(t) = -32t + 72 = 0

-32t = -72

t = -72/-32

t = 2.25 seconds.

Therefore, the time taken for the rocket to reach its maximum height is; 2.25 seconds.

Also, the maximum height reached by the rocket is at; h (2.25);

h(2.25) = -16(2.25)² + 72 (2.25) + 7

= -81 + 162 + 7

= 88.

The maximum height reached is; 88 feet.

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The length οf the perpendicular is 2√2.

Trigοnοmetry is a branch οf mathematics that deals with the study οf relatiοnships between the sides and angles οf triangles. It includes the study οf trigοnοmetric functiοns such as sine, cοsine, and tangent, which are used tο sοlve prοblems in fields such as engineering, physics, and navigatiοn.

Step 1:

Let's call the length οf the perpendicular "p".

Frοm the given infοrmatiοn, we knοw that the hypοtenuse is 8√2 and the angle at the base is 30 degrees. We can use trigοnοmetry tο find the length οf the perpendicular.

In a right triangle, the sine οf an angle is defined as the length οf the side οppοsite the angle divided by the length οf the hypοtenuse. Sο we have:

sin(30°) = p/8√2

We can simplify this expressiοn by nοting that sin(30°) = 1/2 and 8√2 = 8√(2/2) = 8√(1/√2) = 8/√2. Substituting these values, we get:

1/2 = p/(8/√2)

Simplifying further, we can multiply bοth sides by 8/√2:

4/√2 = p

Tο express the result in simplest radical fοrm, we can ratiοnalize the denοminatοr by multiplying the numeratοr and denοminatοr by √2:

p = 4/√2 * √2/√2 = 4√2

Therefοre, the length οf the perpendicular is 4√2.

Step 2:

Let's call the length οf the perpendicular "p".

Frοm the given infοrmatiοn, we knοw that the hypοtenuse is 4√2 and the angle at the base is 45 degrees. We can use trigοnοmetry tο find the length οf the perpendicular.

In a right triangle, the sine οf an angle is defined as the length οf the side οppοsite the angle divided by the length οf the hypοtenuse. Sο we have:

sin(45°) = p/4√2

We can simplify this expressiοn by nοting that sin(45°) = √2/2 and 4√2 = 4√(2/2) = 4√(1/√2) = 4/√2. Substituting these values, we get:

√2/2 = p/(4/√2)

Simplifying further, we can multiply bοth sides by 4/√2:

2√2 = p

Therefοre, the length οf the perpendicular is 2√2.

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Answer:

14.975÷9.5=1.57631578947

Answer:

The student council needs to sell a minimum number of 107 tickets to reach their goal.

Step-by-step explanation:

The student council needs to raise $400 with each ticket costing $4. As such, the number of tickets that need to be sold is

$400/$4 = 100

Easy, right?

But Hold On

The student council also spent $25 on decorations, so they need to make that back too. Thus, they need to sell an additional amount of tickets of

$25/$4 = 6.25

Since you can't sell 0.25 of a ticket though, round the answer up to 7.

So the overall total number of tickets that must be sold is 107.

Answer: They need to sell 107 tickets.

Step-by-step explanation:

4x-25>=400

+25 +25

4x>=425

/4 /4

x>=106.25

since they can’t sell .25 of a ticket, they need to sell 107 tickets at least.

Answer:

  graph 4 (reflected vertically)

Step-by-step explanation:

You want the graph that represents a cosine function with no horizontal shift, an amplitude of 2, and a period of 2π/3.

The amplitude of a sine or cosine function is the difference between the positive peak and the centerline. All of the graphs show functions with an amplitude of 2.

The period of the function is the difference of x-values between the first instance of the function and the first repeat: f(x) ≡ f(x+p) has a period of p.

Graphs 1 and 3 show periods of 2π/9; graphs 2 and 4 show periods of 2π/3, as required.

There is an interaction between horizontal shift and vertical reflection. Sine or cosine functions are effectively inverted (reflected over the x-axis) if they are shifted horizontally by 1/2 period—and vice versa.

The function in graph 3 is a sine function, or a horizontally shifted cosine function.

The function in graph 4 is a cosine function that has been shifted 1/2 perior, OR a cosine function that has been reflected over the x-axis.

Graph 4 is the only viable choice for a cosine function with the correct period, so we have to assume it starts at -2 because it has been reflected vertically over the x-axis. (There seems to be no restriction on that in the problem statement.)

__

Additional comment

Ordinarily, you might not be expected to make any assumptions about vertical reflection. It seems a bit of a trick question.

Answer:

remaining amount of animals should be 35

Step-by-step explanation:

First add up all the pets in the store = 37

Then minus the 2 puppies = 35

then put it as 2:35

Answer:

3:7

Step-by-step explanation:

Answer:

sry i just need the points

₋2.3 < ₋8/3 is the correct answer.

Given, we need to compare the terms.

₋8/3 = ₋2.67

therefore, 2.3 is less than 2.667

hence we form it as ₋2.3 < ₋2.67

we form: ₋2.3 < ₋8/3

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Answer:

please answer both question 8a and 8b)

Considering the variance of Z and the relation between Y and Z, the variance of Y is given by:

Var(Y) = 36.

The variance of a variable, or a data-set, is given by the sum of the differences squared between each observation and the mean, divided by the cardinality of the data-set, which is the number of values in the data-set.

Hence:

These two bullet points above can be resumed by the equation given as follows:

Var(aX + B) = a²Var(X).

Hence:

Var(3Z + 2) = 9Var(Z).

Hence the variance of Y is given as follows:

Var(Y) = Var(3Z + 2) = 9Var(Z) = 9 x 4 = 36.

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The population of the town in 2018 will be 5,040.

To predict the population in 2018, we need to use the following formula:

Population in 2018 = Population in 1993 × (1 - rate of decrease)\(.^n\)

Here, the population in 1993 is 10,500, the rate of decrease is 5.2% or 0.052 (in decimal form), and the number of years from 1993 to 2018 is 25.

Substituting these values, we get:

Population in 2018 = 10,500 × (1 - 0.052)^25

= 10,500 × 0.480

= 5,040

Rounding this answer to the nearest integer, we get a predicted population of 5,040 in 2018.

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The things to keep in mind when hunting for an apartment include location, rents and fees, amenities, etc.

Location: Consider the neighborhood and proximity to transportation, amenities, and schools.

Rent and Fees: Compare the rent and any additional fees such as utility costs, parking, and pet fees.

Amenities: Determine what amenities are important to you and if the apartment building or complex offers them.

Size and Layout: Consider the size of the apartment and the layout of the rooms to determine if it will meet your needs.

Safety and Security: Research the safety and security of the building and surrounding area.

Landlord and Maintenance: Look into the reputation of the landlord and the maintenance team to ensure they are responsive and reliable.

Lease Terms: Review the lease terms, including length of the lease, renewability and move-out policies.

Pets Policy: Check if the landlord allows pets if you have one or planning to adopt one.

It is also recommended to visit the apartment in person before signing a lease and to check for any potential issues such as leaks or pests.

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