the next 3 terms of 10,13,17,238​

Answer:

\(cos x =\frac{adjacent}{hypotenuse} = \frac{11}{20}\\\\x = cos^{-1} (\frac{11}{20} ) = 56.63\)

x= 57°

Answer:

117 - 86 = 31°

The answe is 31

The form \(y=ab^x\) has two unknowns, namely \(a\) and \(b\), so you would need to have two points to find the equation (which you do). Once you have your two points, you can create a system of equations by plugging in the x and y coordinates like below:

\(\left \{ {{10=ab^0} \atop {5120=ab^9}} \right.\)

One thing you may remember is that ANY number to the power of 0 equals 1. Knowing that, we can replace \(b^0\) in the first equation with 1. Since 1 multiplied by any number is just that same number, that leaves \(a\) alone in the first equation.

\(\left \{ {{10=a} \atop {5120=ab^9}} \right.\)

The first equation now tells us that \(a\) is 10, so we can plug 10 in for \(a\) in the other equation.

\(5120=10b^9\)

Now we can divide both sides by 10 to isolate \(b^9\).

\(512=b^9\)

To get \(b\) alone, we have to take the 9th root of both sides.

\(\sqrt[9]{512} =\sqrt[9]{b^9}\)

That gives us:

\(2=b\)

We can now plug \(a\) and \(b\) into the form they gave us to get:

\(y=10*2^x\)

Answer:

he needed to recharge it 3x because the first charge lasts 8 next is 8 which is 16 hours then one more to finish the recording

The intervals in which the function is decreasing. \([-\pi , -\frac{\pi }{3} ], [\frac{\pi }{3}, \pi ]\). Option 3

We're given a function f(x) = 2 sin x - x, which describes a curve on a graph. We want to find the intervals where this curve is decreasing (going down) within the range of -π to π.

To find when the function is decreasing, we look at its slope. The slope tells us if the curve is going up or down. We find the slope by taking the first derivative of the function: f'(x) = 2 cos x - 1.

We now have an equation for the slope, f'(x) = 2 cos x - 1. A negative slope means the function is decreasing. So, we want to find where f'(x) is less than 0 (negative).

We set up the inequality: 2 cos x - 1 < 0. We solve it to find the x-values where the slope is negative. The solution is cos x < 1/2.

From the inequality cos x < 1/2, we find the intervals within the range of -π to π where the function is decreasing. These intervals are [-π, -π/3] and [π/3, π].

The above answer is in response to the question below as seen in the picture.

Determine the interval(s) in \([-\pi, \pi ]\) on

which f(x) =  2 sin x - x

is decreasing.

1. \([-\frac{\pi }{3}, \frac{\pi }{3} ]\)

2. \([-\frac{\pi }{6}, \frac{\pi }{6} ]\)

3. \([-\pi , -\frac{\pi }{3} ], [\frac{\pi }{3}, \pi ]\)

4. \([-\pi , -\frac{-2\pi }{3} ], [\frac{2\pi }{3}, \pi ]\)

5. \([-\pi , - \frac{5x}{6} ], [\frac{\pi }{6}, \pi ]\)

6. \([-\frac{\pi }{6}, \frac{5\pi }{6} ]\)

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The linear function that has the same y-intercept as the given graph is the equation y = -2x + 10, corresponding to option 3.

To determine the linear function with the same y-intercept as the graph, we need to find the equation of the line passing through the points (3, 4) and (5, 0).

First, let's find the slope of the line using the formula:

slope (m) = (change in y) / (change in x)

m = (0 - 4) / (5 - 3)

m = -4 / 2

m = -2

Now that we have the slope, we can use the point-slope form of a linear equation to find the equation of the line:

y - y1 = m(x - x1)

Using the point (3, 4) as our reference point, we have:

y - 4 = -2(x - 3)

Expanding the equation:

y - 4 = -2x + 6

Simplifying:

y = -2x + 10

Now, let's check the given options to find the linear function with the same y-intercept:

Option 1: The table with x-values (-3, -1, 1, 3) and y-values (-4, 2, 8, 14)

The y-intercept is not the same as the given line. So, this option is not correct.

Option 2: The table with x-values (-4, -2, 2, 4) and y-values (-26, -18, -2, 6)

The y-intercept is not the same as the given line. So, this option is not correct.

Option 3: The table with x-values (-5, -3, 3, 5) and y-values (-15, -11, 1, 5)

The y-intercept is the same as the given line (10). So, this option is correct.

Option 4: The table with x-values (-6, -4, 4, 6) and y-values (-26, -14, 34, 46)

The y-intercept is not the same as the given line. So, this option is not correct.

Therefore, the linear function that has the same y-intercept as the given graph is the equation y = -2x + 10, corresponding to option 3.

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3 1/2 cups can be expressed as the multiplication expression: 3 + 1/2.

To express 3 1/2 cups as a multiplication expression using the unit "1 cup" as a factor, you can write it as:

3 1/2 cups = (3 + 1/2) cups = 3 cups + 1/2 cup

Since there are 1 cup in each term, we can rewrite it as:

3 cups + (1/2) cup

Now, we can express each term as a multiplication expression:

3 cups = 3 * 1 cup = 3

(1/2) cup = (1/2) * 1 cup = 1/2

Putting it all together, the multiplication expression is:

3 * 1 cup + (1/2) * 1 cup = 3 + 1/2

Therefore, 3 1/2 cups can be expressed as the multiplication expression: 3 + 1/2.

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Answer:

175

I hope this helps and is the right answer

Answer:

it will take 4 weeks just multiple 24 x 4 +55

The only automorphism of a well-ordered set is the identity.

To prove this statement, we need to show that any automorphism of a well-ordered set must be the identity function. An automorphism is a bijective function that preserves the order structure of the set.

Assume we have a well-ordered set (W, ≤), where W is the set and ≤ is the order relation.

Let f: W → W be an automorphism of the set.

We aim to prove that f is the identity function, i.e., f(x) = x for all x ∈ W.

Suppose, for contradiction, that there exists an element a ∈ W such that f(a) ≠ a.

Since f is a bijective function, there must exist some b ∈ W such that f(b) = a.

Since (W, ≤) is well-ordered, there is a least element c in the set {x ∈ W : f(x) ≠ x}.

Let d = f(c). Since f is an automorphism, f(c) ≠ c, and thus d ≠ c.

Since (W, ≤) is well-ordered, there is a least element e in the set {x ∈ W : f(x) = d}.

Consider the element f(e). Since f is a bijective function, there must exist some f^{-1}(f(e)) = e' ∈ W such that f(e') = f(e) = d.

By the definition of automorphism, f(f^{-1}(y)) = y for all y ∈ W. Applying this property to e', we have f(f^{-1}(f(e'))) = f(e') = d.

However, f^{-1}(f(e')) = e' ≠ c, and thus f(e') ≠ d. This contradicts the fact that e is the least element in the set {x ∈ W : f(x) = d}.

Therefore, our assumption that there exists an element a such that f(a) ≠ a is false.

Since we assumed f(a) ≠ a for arbitrary a ∈ W, it follows that f(x) = x for all x ∈ W.

Hence, the only automorphism of a well-ordered set is the identity function.

Therefore, we have proven that the only automorphism of a well-ordered set is the identity function.

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Answer:

=18/20

Step-by-step explanation:

• 25 - 7 = 18

• 30 - 10 = 20

= 18/20

if u reduce = 9/10

Answer:

18

Step-by-step explanation:

\(x^{2}\) -2x + 3      x = -3

\((-3)^{2}\) - 2(-3) + 3

9 + 6 + 3

18

Helping in the name of Jesus.

When substituting y = 11 into the equation y = 1/2(x) - 25, we find that x = 72, confirming that (23.5, 11) is a valid point of intersection.

Given that x is 23.5, it is required to prove that it is an intersection point for the equation y = 1/2(x) - 25 when y is equal to 11.

The equation is given as y = 1/2(x) - 25

When y = 11, we can substitute the value of y in the equation to obtain 11 = 1/2(x) - 25

This can be simplified as 11 + 25 = 1/2(x)36 = 1/2(x)

On solving, x = 72Thus, when y is equal to 11 and x is equal to 72, the given point of intersection is valid.

Therefore, it can be concluded that x = 23.5 is a point of intersection for the equation y = 1/2(x) - 25 when y is equal to 11.

In summary, when given an equation with two variables, we can find the point of intersection by setting one of the variables to a given value and solving for the other variable. In this case, when y is equal to 11, we can solve for x and obtain the point of intersection as (72,11).

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A graph that best represents these ordered pairs is: C. Graph C.

In Mathematics, an ordered pair is sometimes referred to as a coordinate and it can be defined as a pair of two (2) elements that are commonly written in a fixed order within parentheses as (x, y), which represents the x-coordinate (abscissa) and the y-coordinate (ordinate) on the coordinate plane of any graph such as the following:

Since the values on the x-coordinate (abscissa) increases by 1/2 and the values on the y-coordinate (ordinate) increases by 1, the most appropriate scale 0.5:1, which is best represented by the data points in graph C.

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The length the line segment DF is 21 units

What is Similarity of Triangles?

Two objects are comparable in Euclidean geometry if they have the same form or one has the same shape as the mirror image of the other. More exactly, one can be created by evenly scaling the other, potentially with extra translation, rotation, and reflection.

Since, the question is incomplete I can only assume that the traingles are similar

So, by rule of similarity we can say that ED/BA = DF/AC

by this 15/5 = DF/7

This implies that the length of DF is 21 units

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Answer:

M=3/4     B=-5

Step-by-step explanation:

The slope has an x attached to it and usually comes first while the y-intercept is the number that is after the x and always keep the plus or minus for +/-

Step 1

Given;

Required;

Step 2

Substitute f(x) and solve for x

Hence x=3

Answer: C is the correct answer!I don't feel like explaining. sorry.Please let me know if I am wrong.

After solving the Algebraic Expression 2(x + 8)= 2x + 8, we will get x∈∅. Variable x is dissolved in itself, making it impossible to find its value.

Before moving to solve the equation , let's learn how to solve any algebraic expression:

Step 1: Determine whether the Distributive is necessary.

Property. If so, spread the word!

Step #2: Group similar terms together on either side of the equals symbol.

(meaning: combine all of the similar factors AND

Add up each and every integer (number).

Step #3: Align the variables so that they are all to one side of the equals symbol.

utilizing the inverse process. REMEMBER: No matter what you do

You MUST do to the other side of the equals sign what you did to the one side.

equals (symbol).

Fourth Step: When all of your variables are situated on the same side of the

You must transfer each number to the opposite sign of the equals by applying the inverse procedure on the equals sign. REMEMBER:

fourth Step: When all of your variables are situated on the same side of the

You must transfer each number to the opposite sign of the equals by applying the inverse procedure on the equals sign. REMEMBER:

You MUST do anything you do to one side of the equals sign.

the reverse of the equals symbol).

Step #5: Using the variable's ALONE state, isolate it

the opposite process. DO NOT FORGET: No matter what you do to one

You MUST change the other side of the equals symbol to the equals symbol

Given:

2(x + 8)= 2x + 8

2 × x + 2 × 8= 2x + 8

2x+16= 2x+ 8

16= 8

So, x∈∅.

In this equation , the value of x could not be find because variable x is dissolved in itself.

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Step-by-step explanation:

given

\( \frac{7056}{x} = 42 \\ \\ 42x = 7056 \\ x = \frac{7056}{42} \\ = 168\)

also given

\( \frac{y}{112} = 8 \\ y = 8(112) \\ = 896\)

therefore

\( \frac{x}{y} = \frac{168}{896} \\ = \frac{3}{16} \)

Answer:

the scale factor that Samir used in his drawing is 5/1.

Step-by-step explanation:

Here's a step by step explanation of how to find the scale factor of a drawing:

Identify the scale used in the drawing. In this case, the scale used in Samir's drawing is 5 inches = 1 yard.

Express the scale as a ratio between the two sizes. In this case, the ratio is 5 inches : 1 yard.

Simplify the ratio, if possible. In this case, the ratio 5 inches : 1 yard can be simplified to 5/1.

The simplified ratio, 5/1, is the scale factor of the drawing. This means that for every 5 inches on the drawing, the actual length in the real world is 1 yard.

So, the scale factor that Samir used in his drawing is 5/1.

Answer:

y=1/2x+1

Step-by-step explanation:

you can literally do rise over run to get the answer

The equation that can be used to solve for the length, y , is y²-5y = 750

Area is defined as the total space taken up by a flat (2-D) surface or shape of an object. Area is measured in squared unit.

The area of a rectangle is given by the expression:

A = l × w

where l is the length and w is the width of the rectangle.

The width of the rectangle is 5 feet less than that of the length. The length is represented by y. this means that w = y-5

Area = length × width

area = 750

therefore 750 = y ×( y-5)

opening the parentheses,

750 = y² - 5y

therefore the equation that can be used to solve for the length of the rectangle is

y²-5y = 750

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Answer:

26

Step-by-step explanation:

One leg measures 7.

One leg measures 8.

a² + b² = c²

7² + 8² = c²

c² = √113 = 10.630 = 11

perimeter = 7 + 8 + 11

perimeter = 26

f(g(2))➡x=2➡

f(x)=4x+8

g(x)=5x

f(g(2))➡4(5x)+8➡20x+8

x=2

20(2)+8=48

I hope this helps!

Answer:

I think its C

Step-by-step explanation:

Answer:

The probability that all 25 will get the type of book they want from current stock is 0.024

Step-by-step explanation:

21% of all students who have to buy a text for a particular course want a new copy (the successes!), whereas the other 79% want a used copy.

p= 0.21

q=0.79

Let x be the no. of students who want a new copy

x can take values 15,14,13,12,11,10

We are supposed to find probability that all 25 will get the type of book they want from current stock

\(P(X=x) =\sum_{x=10}^{15} (0.21)^x (0.79)^{25-x}=0.024\)

Hence the probability that all 25 will get the type of book they want from current stock is 0.024

The only true statement about the domain of the given function is:

B. f(x) is negative for all x < -5

The domain of a function is defined as the set of values that we can possibly plug into our function. This set is the x values in a function such as f(x).

Now, we are given the function as:

f(x) = \(\frac{2}{x^{2} } + 3x - 10\)

When x < -5, we have:

f(-4) = \(\frac{2}{(-4)^{2} } + 3(-4) - 10\)

f(-4) = -21.875

This suggests that for all values below x = -5 will result in negative values

When x > 2

f(3) = \(\frac{2}{3^{2} } + 3(3) - 10\)

f(3) = -0.78

Thus, it will get positive for higher values but it can also be negative as seen here.

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Answer:

Step-by-step explanation:

For the product to be zero one of the picks needs to be zero. It is easier to find the probability of NOT selecting a zero and subtract that from one.

P(0)=1-P(!0)

P(0)=1-(5/6)(4/5)

P(0)=1-4/6

P(0)=(6-4)/6

P(0)=1/3

Answer:

10ibs=1000%   6ibs=600%

Step-by-step explanation: