-4x+3=-11
Show your work

Answer:

C and D is the answer.

Step-by-step explanation:

If m∠5 = x°, according to the Corresponding Angle Theorem, m∠9 will equal the same, and because 9 and 12 are vertical angles, both of these will be the same measure.

The quotient rule in calculus is a method used to find the derivative of any function given in the form of a quotient obtained from the result of the division of two differentiable functions.

That means if we are given a function of the form: f(x) = u(x)/v(x),

we can find the derivative of this function using the quotient rule derivative:

f'(x) = [u(x)/v(x)]' = [v(x) × u'(x) - u(x) × v'(x)]/[v(x)]2

Where:

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Step-by-step explanation:

-3(-x -3y) = 3( x +3y) = 3x+9y

Answer:

Because the triangle is isosceles, the base angles are congruent, meaning that the angles that are not right angles are x and x. Since the sum of angles in a triangle is 180°, we can write:

90 + x + x = 180

x + x = 90

2x = 90

x = 45°

Answer:

45 degrees

Step-by-step explanation:

This triangle is "isosceles..." two legs are equal.  Thus, the triangle has two 45 degree angles.  The indicated angle is 45 degreees.

The average age of the gorillas at the zoo would be= 10 years.

To calculate the average age of the gorillas which is also the mean age of the gorillas, the following formula should be used as follows:

Average age = sum of ages/number of ages

Sum of ages = 8 + 4 + 14 + 16 + 8

Number of ages = 5

Average age = 50/5= 10 years

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Answer:

hmmm did you try 14?

Answer:

Step-by-step explanation:

The largest possible value of n can be calculated using factorials and the largest value would be 3628800

The concept of factorials is used to calculate the value of n.

Factorials are defined as mathematical expression that is the product of the given number down to 1. It is denoted with the symbol n! which means that if n is given as 5, then its factorial would be =5×4×3×2×1 = 120.

Factorial of n!= nx(n-1)(n-2)........x2x1

Factorials are used in mathematics or statistics to denote the possibilities of an event in an outcome.

The total numbers of the two groups = 10

The factorials of 10! = 10×9×8×7×6×5×4×3×2×1

= 3,628,800.

Therefore, The largest possible value of n can be calculated using factorials and the largest value would be 3628800

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The amount of soil needed to fill the garden box is given as follows:

1728 ft³.

The volume of a rectangular prism, with dimensions defined as length, width and height, is given by the multiplication of these three defined dimensions, according to the equation presented as follows:

Volume = length x width x height.

The figure in this problem is composed by two prisms, with dimensions given as follows:

Hence the volume is given as follows:

V = 19 x 12 x 6 + 10 x 3 x 12

V = 1728 ft³.

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The given value of 19 is not a unit of measurement, so it cannot be converted to an equivalent measure.

4 in. - 10.2 cm

7 kg - 15.4 lb

6 gal - 22.7 L

5 ft - 1.5 m

Note: The given value of 19 is not a unit of measurement, so it cannot be converted to an equivalent measure.

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Answer:

i dont know Ecactly but i think mybe its 10 or 15

To find a basis of the subspace that consists of all vectors perpendicular to both [1] [0] [0] [1] [-8] [-5] and [_] [3] [-2] [_], we first need to find the cross product of the two given vectors.

[1] [0] [0]
[1] [-8] [-5]
[_] [3] [-2]

The cross product of these three vectors is:

[0] [0] [-3]

This vector represents the normal vector to the plane that contains the two given vectors. Any vector that is perpendicular to both of the given vectors will lie in this plane and be orthogonal to this normal vector.

Thus, we can set up the following equation:

[0] [0] [-3] • [x] [y] [z] = 0

Simplifying this equation gives: -3z = 0
This tells us that z can be any value, while x and y must be zero in order for the vector to be perpendicular to both of the given vectors. Therefore, a basis for the subspace of all vectors perpendicular to both [1] [0] [0] [1] [-8] [-5] and [_] [3] [-2] [_] is:[0] [0] [1]
or any scalar multiple of this vector.

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The Boolean expression F = AB'C' + AB'C + ABC can be simplified using Boolean algebra techniques. The simplified expression is F = AB'C'.

To simplify the given Boolean expression, we can use the properties of Boolean algebra, such as the distributive law and complementation.

Starting with the given expression:

F = AB'C' + AB'C + ABC

We can combine the terms AB'C' and AB'C by applying the distributive law:

F = AB'(C' + C) + ABC

Since C' + C evaluates to 1 (using the complementation property), the expression becomes:

F = AB'(1) + ABC

Multiplying AB' by 1 results in AB', so the expression simplifies to: F = AB'C'

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Answer 1 -16 3y-2 >16 k-1 >24 -8.8x>24-8.8x<32

Step-by-step explanation:

k>3, x> - 10-11,y>2-3 (128k-127)

This completes the inductive step.

By the principle of mathematical induction, we have shown that (cos(x) + i sin(x))^n = cos(nx) + i sin(nx) holds for all positive integers n.

To show that (cos(x) + i sin(x))^n = cos(nx) + i sin(nx) for any positive integer n, we can use the property of De Moivre's theorem.

De Moivre's theorem states that for any complex number z = r(cos(theta) + i sin(theta)), and a positive integer n:

z^n = r^n (cos(ntheta) + i sin(ntheta))

In this case, we have z = cos(x) + i sin(x) and we want to prove that:

(cos(x) + i sin(x))^n = cos(nx) + i sin(nx)

Let's prove this statement using induction.

Base case: For n = 1,

(cos(x) + i sin(x))^1 = cos(x) + i sin(x), which is true.

Inductive step: Assume that for some k ≥ 1, it holds that:

(cos(x) + i sin(x))^k = cos(kx) + i sin(kx)

Now, we need to show that it holds for k+1:

(cos(x) + i sin(x))^(k+1) = cos((k+1)x) + i sin((k+1)x)

Using the assumption and De Moivre's theorem, we have:

(cos(x) + i sin(x))^k * (cos(x) + i sin(x)) = (cos(kx) + i sin(kx)) * (cos(x) + i sin(x))

Expanding both sides using the distributive property of complex numbers:

(cos(x))^k (cos(x) + i sin(x)) + (i sin(x))^k (cos(x) + i sin(x)) = cos(kx) cos(x) + i cos(kx) sin(x) + i sin(kx) cos(x) - sin(kx) sin(x)

Simplifying further:

cos((k+1)x) + i sin((k+1)x) = cos(kx) cos(x) - sin(kx) sin(x) + i (cos(kx) sin(x) + sin(kx) cos(x))

Using the trigonometric identities: cos(A + B) = cos(A) cos(B) - sin(A) sin(B) and sin(A + B) = sin(A) cos(B) + cos(A) sin(B), we can rewrite the right-hand side as:

cos((k+1)x) + i sin((k+1)x)

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The magnitude of vector A of the following components AX and AY is 88.95m

In this question we will apply the pythagoras theorem which will be depicted as

\(R = \sqrt{AX^{2} + AY^{2} }\) . . . . . . . . . (1)

where , R = resultant magnitude of vector

            AX and AY are the components of vector

As per the question

AX = 83m

AY = 32m

Putting the values in the equation (1) we get

                               \(R= \sqrt{83^{2} +32^{2} }\)

                               \(R =\sqrt{6889+1024}\)

                               \(R=\sqrt{7913}\\\)

                               R  =  88.95m

Thus the magnitude of vector A for the following components is 88.95m

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In this experimental design, the y variable is the testosterone levels.

A variable is defined as any symbol or letter that is used to express an unknown quantity. There are two types of variables: the dependent variable (y variable) and the independent variable ( x variable).

An independent variable (x variable) is the variable which causes the change in another variable.

A dependent variable (y variable) is the result or effect of that change in the dependent variable.

If we are interested in what happens to testosterone levels as the men age in adult men ages 18 years and older, then the x variable is the age and the y variable is the testosterone levels.

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Answer:

A) 15

Step-by-step explanation:

a = 3   b = 5  c = 7

a + b + c

3 + 5 + 7 = 15

Answer:

I believe it is A 15

Step-by-step explanation:

When blood glucose levels are increasing above the normal range, such as after eating a meal, an increase in the breakdown of fat into fatty acids in adipose tissue does not occur.

What happens when blood glucose levels are increasing above the normal range, such as after eating a meal?

When blood glucose levels are increasing above the normal range, such as after eating a meal, the body cells respond by increasing the rate of glucose uptake into target cells. Beta cells in the pancreatic islets secrete insulin into the bloodstream. The insulin released into the bloodstream signals the body cells to increase the rate of glucose uptake into target cells.

glucose that enters the target cells can be used immediately as a source of energy or stored as glycogen in the liver or muscle tissues. In addition to this, body cells will increase the conversion of glucose into glycogen. The increased uptake and storage of glucose by the liver and muscle tissues lead to a decrease in blood glucose levels.

Amino acid absorption and protein synthesis are increased after meals, but they are not directly related to the regulation of blood glucose levels. During meals, amino acids from dietary proteins are absorbed into the bloodstream and transported to the liver. From there, they can be used to synthesize new proteins or broken down into glucose or fatty acids.

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80 c, 80%, 80/100, .80

$1.20, 120%, 120/100, 1.2

$1.60, 160%, 160/100, 1.6

$1.28, 128%, 128/100, 1.28

Answer:

80c to $1.20: up 50% or x 1.5

$1.20 to 80c: down 33 1/3 % or x 0.6 bar over the 6

80c to $1.60: up 100% or x 2

$1.60 to 80c: down 50% or x 0.5

$1.60 to $1.28: down 20% or x 0.8

$1.28 to $1.60: up 25% or x 1.25

$1.28 to $1.20: down 6 1/4 % or x 0.9375

$1.20 to $1.28: up 6 2/3 % or x 1.06 bar over the 6

Answer:

1.

31, 37, 43, 49, 55

2.

for nth number the value is 31+6(n-1)

3.

24th number, 169-31=138 and 138/6=23

Therefore, the sum of the first 1234 terms of this sequence is 1234.

To find the sum of the first 1234 terms of the sequence consisting of 1's separated by blocks of 2's with n 2's in the nth block, we need to determine the number of blocks and the number of 1's in each block.

Let's examine the pattern of the sequence:

Block 1: 2's

= 1's

= 1 (1 2)

Block 2: 2's

= 2's

= 22 (1 22 1)

Block 3: 2's

= 3's

= 222 (1 222 1)

Block 4: 2's

= 4's

= 2222 (1 2222 1)

...

We observe that the number of 2's in each block is equal to the number of the block itself. So, in the nth block, there are n 2's.

Now, let's calculate the number of blocks required to reach the 1234th term:

To find the number of blocks, we need to determine the maximum block number before the 1234th term. We can calculate this by finding the sum of the series 1 + 2 + 3 + ... + n until the sum is greater than or equal to 1234.

The formula for the sum of the series 1 + 2 + 3 + ... + n is given by: S = (n/2)(n+1).

Let's solve this equation:

(n/2)(n+1) = 1234

\(n^2 + n - 2468 = 0\)

Using the quadratic formula:

n = (-1 + √(1 + 4*2468)) / 2

n ≈ 61.76

Since n must be a whole number, we take the ceiling of n, which gives us 62.

Therefore, there are 62 blocks in the sequence.

Next, let's calculate the number of 1's in each block:

In the nth block, there are n 2's. Since each 2 is separated by a 1, there are n + 1 terms in each block.

So, the number of 1's in each block is (n + 1) - n = 1.

Since there is always one 1 between two consecutive blocks, the total number of 1's in the sequence is equal to the number of blocks, which is 62.

Finally, let's calculate the sum of the first 1234 terms:

Each block has n + 1 terms, which gives us (n + 1) + (n + 1) + ... + (n + 1) (62 times).

Sum of (n + 1) repeated 62 times = 62(n + 1)

= 62 * 2

= 124.

In addition to the blocks, we have 1234 - 62 = 1172 remaining terms, which are all 1's.

So, the sum of the first 1234 terms is 62 + 1172 = 1234.

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The percent of attendance figures that differs from the mean by 1500 persons or more is 6.68%.

From the question above, Mean μ = 10,000

Standard Deviation σ = 1,000

The formula for z-score is :

z = (x-μ) / σ

Where, x = observation

z = z-score

Mean μ = 10,000

Standard Deviation σ = 1,000

From the above formula, let's calculate z-score for x = 11,500

z = (x-μ) / σ

z = (11,500 - 10,000) / 1000

z = 1.5

Now, find the probability of attendance figures that differs from the mean by 1500 persons or more.

P(z ≥ 1.5) = 0.0668

To find the percentage, we need to multiply the above value by 100.

P(z ≥ 1.5) × 100 = 0.0668 × 100 = 6.68%

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Answer:

42

Step-by-step explanation:

Median = Middle numbers in terms of value

To find the median we are going to want to list the numbers in order from lest to greatest

17, 23, 30, 54, 61, 81

Now we find the middle number

Because there is an even amount of numbers there will be two middle numbers.

When there are two middle numbers we add them together and divide by 2 to get the median

The two middle numbers are 30 and 54

That being said the median = \(\frac{30+54}{2}\)

30 + 54 = 84

\(\frac{84}{2} =42\)

So we can conclude that the median of the number set is 42

Answer:

41.41

Step-by-step explanation:

cosA=6/8=3/4

I used a calculator

Hope this will be helpful.

A scatter plot is also referred to as scatter chart, scatter diagram or scattergram and it can be defined as a type of graph which is used for the graphical representation of the values of two (2) variables, with the resulting points showing any association (correlation) between the data set.

This ultimately implies that, the name which would be given to this type of a graph is a scatter plot. At a glance, we can logically deduce that James is the person who had an improved result.

The table would be completed with an approximate mark as follows:

Name           Term 1       Term 2      Term 3        Term 4

James             82              64               58               50

Jane                54              64               74               90

On a pie chart, the size of the angle representing Term 2 for James' mark is given by:

Angle = 64/256 × 360

Angle = 0.25 × 360

Angle = 90°.

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