Fill in the blanks with the correct angle measure.



For example:

Measure of angle 1 = 110 degrees. You only need to type 110.

Answer:

(4, -5)

Step-by-step explanation:

(4, 5) is 4 units to the right of the y-axis and 5 units above the x-axis.

When you reflect point (4, 5) over the x-axis, the new point is still 4 units to the right of the y-axis, so its x-coordinate is still 4. The distance that was above the x-axis now is below the x-axis, so the y-coordinate is -5.

Answer: (4, -5)

The midpoint has coordinates (19,19) as per the midpoint formula.

The statement is false.

The statement is false. The midpoint of the segment joining two points is determined by taking the average of their x-coordinates and the average of their y-coordinates. In this case, the two given points are (0,0) and (38,38).

To find the x-coordinate of the midpoint, we take the average of the x-coordinates of the two points:

(x1 + x2) / 2

= (0 + 38) / 2

= 38 / 2

= 19

Therefore, the x-coordinate of the midpoint is 19, which matches the statement. However, to determine if the statement is true or false, we also need to check the y-coordinate.

To find the y-coordinate of the midpoint, we take the average of the y-coordinates of the two points:

(y1 + y2) / 2

= (0 + 38) / 2

= 38 / 2

= 19

The y-coordinate of the midpoint is also 19. Therefore, the coordinates of the midpoint are (19,19), not 19 as stated in the statement. Since the midpoint has coordinates (19,19), the statement is false.

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Answer:

g = 3 + b

b + 3 = g

3 + b = g

Step-by-step explanation:

Answer:

[see below]

Step-by-step explanation:

Rewriting the rule so 'b' would be the subject:

\(g = b + 3\\\\g - 3 = b + 3-3\\\\g-3=b\\\\\boxed{b=g-3}\)

Hope this helps.

Answer: 90

Step-by-step explanation: 11,700 divided by 130 is 90 Therefore Mr. Brown started with 90 apple trees. Hope this helps :) sorry if I'm wrong

Answer:

x = 120 trees

Step-by-step explanation:

Since the trees he has left produces 130 apples each, and he ended up with 11 700 apples, it means he has left 11 700 / 130 = 90 trees.

Now, since he lost 30 trees in the fire, it means before he had 30 more trees => 90 + 30 = 120 trees

The equation for it:

( x - 30 ) * 130 = 11 700

x - 30 = 11 700 / 130

x = 90 + 30

x = 120

The inflection point of f(t) is approximately t = 3.73.

(a) To determine if the function f(t) = -0.425t^3 + 4.758t^2 + 6.741t + 43.7 is increasing or decreasing, we need to find its derivative and examine its sign.

Taking the derivative of f(t), we have:

f'(t) = -1.275t^2 + 9.516t + 6.741

To determine the sign of f'(t), we need to find the critical points. Setting f'(t) = 0 and solving for t, we have:

-1.275t^2 + 9.516t + 6.741 = 0

Using the quadratic formula, we find two possible values for t:

t ≈ 0.94 and t ≈ 6.02

Next, we can test the intervals between these critical points to determine the sign of f'(t) and thus the increasing or decreasing behavior of f(t).

For t < 0.94, choose t = 0:

f'(0) = 6.741 > 0

For 0.94 < t < 6.02, choose t = 1:

f'(1) ≈ 14.982 > 0

For t > 6.02, choose t = 7:

f'(7) ≈ -5.325 < 0

From this analysis, we see that f(t) is increasing on the intervals (0, 0.94) and (6.02, ∞), and decreasing on the interval (0.94, 6.02).

(b) To find the inflection point of f(t), we need to find the points where the concavity changes. This occurs when the second derivative, f''(t), changes sign.

Taking the second derivative of f(t), we have:

f''(t) = -2.55t + 9.516

Setting f''(t) = 0 and solving for t, we find:

-2.55t + 9.516 = 0

t ≈ 3.73

Therefore, The inflection point of f(t) is approximately t = 3.73.

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The set of natural numbers {1,2,3,4,...} and the set of positive even numbers {2, 4, 6, 8, . . .} are different because natural numbers include all positive integers, while even numbers only include those that are divisible by 2 with no remainder.

Two important sets of numbers are natural numbers and even numbers. The set of natural numbers consists of numbers that are not negative, beginning with 1 and continuing indefinitely with 2, 3, 4, and so on.

The set of even numbers, on the other hand, consists of numbers that are divisible by 2, beginning with 2, 4, 6, and so on.

Positive integers refer to natural numbers. Any integer greater than zero is a positive integer.

Zero is not a positive integer. Hence, the set of natural numbers consists of {1,2,3,4,…}

On the other hand, the set of even numbers consists of {2, 4, 6, 8, . . .}.

Therefore, {1,2,3,4,…} and {2, 4, 6, 8, . . .} are two different sets of numbers where one set is composed of positive integers (natural numbers) and the other is composed of positive even numbers.

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The descriptions of the quadratic functions f(x) and g(x) are as follows:

f(x) = \(-2x^{2} +9\)

x g(x)

0 −5

1 3

2 11

3 3

4 −5

Which sentence compares the two functions' maximum values the most effectively?

(a)The maximum value is the same for both functions.

(b) f(x) has a greater maximum value than g(x).

(c) The greatest value of g(x) is bigger than that of f(x).

(d) The maximum values cannot be determined.

The statement that best compares the maximum value of the two functions is g(x) has a greater maximum value than f(x) that is Option (c).

The maximum value is the point at which a function reaches its peak is known as its maximum value.

To compare both functions.

Take function f(x)= \(-2x^{2} +9\)

Differentiate the function f(x)

f'(x) = -4x

Take f'(x) as 0

-4x = 0

x = 0

Substitute x = 0 in f(x)

f(0) = \(-2(0)^{2} +9\)

f(0) = 9

This means that the greater value of function f(x) is 9.

From the table of function g(x), the maximum is 11.

11 is greater than 9

Therefore, The greater value of g(x) is bigger than that of f(x).

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Answer:£15.80

Step-by-step explanation: £4.40 for a 2-litre carton is the best buy since it is £2.20 for every litre.

So to fulfil the 7 litres for 7-days requirement the lowest price would be buying the best buys possible. Then it would be 3 2-litre cartons and 1 1-litre carton which would cost £15.80.

Let y = √x, so the limit can be rewritten as

\(\displaystyle \lim_{y\to\infty}\left(\frac{\sqrt{y^6+y^2}}{y^2+3} - \frac{\sqrt{y^4+1}}{y+4}\right)\)

Now,

\(\sqrt{y^6+y^2} = \sqrt{y^2\left(y^4+1\right)} = y\sqrt{y^4+1}\)

so we can rewrite the limit further as

\(\displaystyle \lim_{y\to\infty}\left(\frac{y}{y^2+3} - \frac1{y+4}\right)\sqrt{y^4+1}\)

Combine the rational terms:

\(\dfrac y{y^2+3} - \dfrac1{y+4} = \dfrac{y(y+4)-(y^2+3)}{(y^2+3)(y+4)} = \dfrac{4y-3}{(y^2+3)(y+4)}\)

Then in the limit, we get

\(\displaystyle \lim_{y\to\infty}\frac{(4y-3)\sqrt{y^4+1}}{(y^2+3)(y+4)} = \lim_{y\to\infty}\frac{(4y^3-3y^2)\sqrt{1+\dfrac1{y^4}}}{y^3+4y^2+3y+12} \\\\ = \lim_{y\to\infty}\frac{\left(4-\dfrac3y\right)\sqrt{1+\dfrac1{y^4}}}{1+\dfrac4y+\dfrac3{y^2}+\dfrac{12}{y^3}} = \boxed{4}\)

Answer:

Step-by-step explanation:

x^2 + 2x - 3 =0

x^2 + 3x - x -3 = 0

(x) x (x+3) - (x + 3) = 0

(x+3) x (x-1) = 0

x+3=0

x-1=0

x=-3

x=3

x1 =-3, x2 = 1

Answer:

\(x=1,\\x=-3\)

Step-by-step explanation:

The quadratic formula is given by \(x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}\), where \(x\) represents both real and nonreal solutions to a quadratic in standard form \(ax^2+bx+c\).

Thus, with the given quadratic \(x^2+2x-3\), we can assign values:

Substituting in these values to the quadratic formula, we have:

\(x=\frac{-2\pm\sqrt{2^2-4(1)(-3)}}{2(1)}, \\\\x=\frac{-2\pm\sqrt{16}}{2},\\\\x=\frac{-2\pm 4}{2},\\\\\begin{cases}x=\frac{-2+4}{2},x=\frac{2}{2}=\boxed{1}\\x=\frac{-2-4}{2},x=\frac{-6}{2}=\boxed{-3}\end{cases}\)

Verify by factoring:

\(x^2+2x-3=0,\\(x+3)(x-1)=0,\\\begin{cases}x+3=0,x=\boxed{-3}\:\checkmark\\x-1=0,x=\boxed{1}\:\checkmark\end{cases}\)

Answer:

21

Step-by-step explanation:

please pick me as brainliest

Answer:

3/11

Step-by-step explanation:

divide each side by 2

Answer:

3/11

Step-by-step explanation:

Let's simplify the value,

→ 6/22

→(6 ÷ 2)/(22 ÷ 2)

→ 3/11

Thus, the value is 3/11.

Answer:

To put this equation in standard form, you need to complete the square for both the x's and the y's.

First, complete the square for the x's by adding and subtracting (16/2)^2 = 16^2/2^2 = 32/2 = 16.

4x² - 16x + 16 - 16 - 5y² - 30y - 9 = 0

4x² - 16x + 16 - 5y² - 30y - 9 = 0

Now, complete the square for the y's by adding and subtracting (30/2)^2 = 30^2/2^2 = 900/2 = 450.

4x² - 16x + 16 - 5y² - 30y + 450 - 450 - 9 = 0

4x² - 16x + 16 - 5(y² - 15y + 225) - 9 = 0

Now, you can simplify the expression inside the parentheses by completing the square for y.

4x² - 16x + 16 - 5(y - 15)^2 + 5*225 - 9 = 0

Now, divide everything by -5 to get the equation in standard form:

-4/5x² + 16/5x - 16/5 - (y - 15)^2 = 0

The standard form of the equation is:

(-4/5)x² + (16/5)x - 16/5 - (y - 15)^2 = 0

Answer: 300

Step-by-step explanation:

30 if 3/10 (0.3) of 100

90 is 3/10 (0.3) of 300

The value of the third number is 62.

Word problems are mathematical problems that are delivered in ordinary words, instead of mathematical symbols.

We shall represent the three numbers with the letters x, y and z so that;

the first number is x

the second number y = 4x + 3

the third number z = 5x - 8

hence we can write them mathematically as;

(x + 4x + 3 + 5x - 8)/3 = 45 {cross multiply}

x + 4x + 3 + 5x - 8 = 135

10x - 5 = 135 {add 5 to both sides}

10x = 140

x = 140/10 {divide through by 10}

x = 14

the third number z = 5(14) - 8

z = 70 - 8

z = 62

In conclusion, given that the third number is eight less than five times the first number, its value is 62.

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The equation is c = -5f + 35. f is the independent variable while c is the dependent variable

A linear equation is in the form:

y = mx + b

Where m is the rate of change and b is the initial value

The variable f(number of friends) is the independent variable (input value) while c(number of carrots) is the dependent variable (output value)

From table, using pairs (1, 30) and (2, 25):

c - 30 = [(25 - 30)/(2 - 1)](f - 1)

c - 30 = -5(f - 1)

c = -5f + 35

The equation is c = -5f + 35

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The third one - I would give an explanation but am currently short on time, hope this is enough.

Typical properties of ceramic materials include very high elastic modulus, very high melting temperature, excellent strength in tension (poor in compression), and very high hardness.


Ceramic materials are known for their unique set of properties. They have a very high elastic modulus, meaning they are stiff and resistant to deformation. They also have a high melting temperature, making them suitable for high-temperature applications.

Ceramics exhibit excellent strength in tension, but their strength in compression is relatively poor, often with a ratio of approximately 10:1. Additionally, ceramics are characterized by their very high hardness, making them resistant to wear and abrasion. These properties make ceramics suitable for applications such as structural components, cutting tools, and heat-resistant coatings.

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ANSWER

EXPLANATION

We want to write the equation for the function g(x).

From the graph, we see that g(x) was moved 5 units upward from the parent function, f(x). In other words, f(x) was translated vertically upward to result in g(x).

When an exponential function is translated vertically, it changes as follows:

when b > 0, it is an upward translation

when b < 0, it is a downward translation

Therefore, the equation for the function g(x) can be written as:

Answer: the answer is..

Step-by-step explanation:

Answer:

your answer should be C.

If teacher is distributing sheets in a class, then the equation which is used to find number of students in class is (d) 2x+8 = 3x - 11​.

A "Linear-Equation" is a mathematical equation that represents a straight line in a coordinate plane. It is of form : y = mx + b

where y is the dependent variable, x is the independent variable, m is the slope of the line, and b is the y-intercept (the point at which the line crosses the y-axis).

Let number of students in class be denotes as "x",

If each student get 2 sheets, then 8 sheets are remaining, it is mathematically represented as : 2x + 8 ,

If each student get 3 sheets each, then there would be 11 sheets less, and this is represented as : 3x - 11,

So, the equation which is used to find number of students in class is 2x+8=3x-11,

Therefore, the correct option is (d).

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The given question is incomplete, the complete question is

If a teacher were to distribute sheets of paper so that each student got two sheets, there would be 8 sheets remaining. However, if three sheets were given to each student, the teacher would be 11 sheets short. Which equation could be used to find how many students are in the class?

(a) 2(x - 8) = 3(x + 11)

(b) 2(x + 8) = 3(x - 11)

(c) 2x-8 = 3x + 11

(d) 2x+8 = 3x - 11​

One can use the f-statistic to test whether the overall regression equation is statistically significant, one uses the f-statistic.

A reasonably high R-squared score makes sense if your regression model includes independent variables that are statistically significant. According to the statistical significance, shifts in the dependent variable are correlated with changes in the independent variables.

The ratio of two variances is known as an F-statistic, and it bears Sir Ronald Fisher's name. Variances gauge how widely apart the data points are from the mean. When the individual data points tend to deviate further from the mean, there are more variances.

The F-test determines that it is unlikely that all of the coefficients will equal zero by adding the predictive power of all independent variables. But it's likely that none of the variables are individually important enough to be statistically significant.

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Answer:

5

Step-by-step explanation:

When two lines are crossed by another line (the transversal), the pair of angles on  the opposite and inner side of each of those two lines are called Alternate Interior Angles.  Therefore 5 is the alternate interior angle to 4.

Answer:

5

I did the assignment

The value of a is 30.1

The denominators of fractions must match in order to divide them. The numerators' quotient will be the quotient.

The phrase provided is,

a/12 = 30.1/12

We can directly cut the values if the denominator is the same. Since there is a 12 in the denominator on both the right and left sides in this case, remove 12 from both sides.

Thus, a = 30.1

Likewise, you can act in such manner,

a = (30.1 * 12) / 12

a = 30.1

Here, we take the right side of the left side denominator 12 and cancel 12.

Hence, A has a value of 30.1

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(a) Definition of uniform convergence of a sequence of functions on (0, +∞):

A sequence of functions {f_n(x)} is said to converge uniformly on the interval (0, +∞) if for every ε > 0, there exists a positive integer N such that for all n ≥ N and for all x ∈ (0, +∞), |f_n(x) - f(x)| < ε, where f(x) is the limit function.

Negation of the definition of uniform convergence of a sequence of functions on (0, +∞):

A sequence of functions {f_n(x)} does not converge uniformly on the interval (0, +∞) if there exists an ε > 0 such that for every positive integer N, there exists an n ≥ N and an x ∈ (0, +∞) such that |f_n(x) - f(x)| ≥ ε, where f(x) is the limit function.

(b) Consider the sequence of functions {f_n(x)} defined as f_n(x) = n + n^2x^2 on the interval [0, +∞).

Pointwise convergence:

For each fixed x ∈ [0, +∞), as n approaches infinity, the term n^2x^2 dominates the sequence and tends to infinity. Therefore, {f_n(x)} does not converge pointwise to any function on [0, +∞).

Uniform convergence:

To analyze uniform convergence, we need to check if the sequence of functions satisfies the definition of uniform convergence. For any ε > 0, we need to find a positive integer N such that for all n ≥ N and for all x ∈ [0, +∞), |f_n(x) - f(x)| < ε.

Let's consider the difference |f_n(x) - f(x)|:

|f_n(x) - f(x)| = |n + n^2x^2 - f(x)| = |n + n^2x^2 - 0| = n + n^2x^2

For any fixed x ∈ [0, +∞), as n approaches infinity, the term n + n^2x^2 also tends to infinity. Therefore, for any given ε > 0, it is not possible to find a positive integer N such that |f_n(x) - f(x)| < ε for all n ≥ N and for all x ∈ [0, +∞). Thus, the sequence {f_n(x)} does not converge uniformly on [0, +∞).

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Answer:

x = 24

Step-by-step explanation:

you can match angle R with angle A to get the equation 3x-2 = 70

3x = 72

x = 24

Answer:

Step-by-step explanation:

The factor that f increases by when the exponent increases is :

When the exponent x increases by 1, the function value increases by a factor of 3. When the exponent x increases by 2, the function value increases by a factor of 9.

When the exponent x increases by 1/2, the function value increases by a factor of √3. We can see this by evaluating as follows :

= (3^ ( 1 / 2 ) )

= √3

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