This service is NOT important when comparing banks: a: Debit card design. b:Hours of operation. c:Convenience of location. D:Monthly fees and minimum balance required.

Answer:

It's 994

Step-by-step explanation:

Answer:

\(\displaystyle 1 = \frac{cos∠A}{cos∠B}\)

Step-by-step explanation:

\(\displaystyle \frac{OPPOSITE}{HYPOTENUSE} = sin\:θ \\ \frac{ADJACENT}{HYPOTENUSE} = cos\:θ \\ \frac{OPPOSITE}{ADJACENT} = tan\:θ \\ \frac{HYPOTENUSE}{ADJACENT} = sec\:θ \\ \frac{HYPOTENUSE}{OPPOSITE} = csc\:θ \\ \frac{ADJACENT}{OPPOSITE} = cot\:θ\)

Since this is a 45°-45°-90° triangle, you will have two IDENTICAL legs and the hypotenuse is the value of the leg multiplied by the square root of 2:

\(\displaystyle x\sqrt{2} = HYPOTENUSE \\ x = LEGS \\ \\ 4,242640687 ≈ 3\sqrt{2} \\ \\ \frac{3}{4,242640687} ≈ cos∠B \\ \frac{3}{4,242640687} ≈ cos∠A \\ \\ \frac{\frac{3}{4,242640687}}{\frac{3}{4,242640687}} = 1\)

I am joyous to assist you anytime.

The value of expression cos A / cos B is,

⇒ cos A / cos B = 1

A triangle is a three sided polygon, which has three vertices and three angles which has the sum 180 degrees.

Given that;

Triangle ABC is shown in figure.

Now., We know that;

cos A = Base / Hypotenuse

cos A = 3 / 4.24

And, cos B = 3 / 4.24

Thus, The value of expression cos A / cos B is,

⇒ cos A / cos B = (3/4.24) / (3/4.24)

⇒ cos A / cos B = 1

So, The value of expression cos A / cos B is,

⇒ cos A / cos B = 1

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Answer: 3x^2 − 7x − 6

To create a 10% solution of 1,000 milligrams, you will need 500 milligrams of the 5% solution and 500 milligrams of the 20% solution.

To determine the amount of each solution needed, we need to consider the concentration of the solutions and the desired concentration of the final solution.

The 10% solution is the average concentration between the 5% and 20% solutions. Since the desired concentration is closer to the 5% solution, we need an equal amount of both solutions to achieve the 10% concentration.

Let's break it down mathematically:

Total amount of the final solution = 1,000 milligrams

Desired concentration = 10%

To find the amount of the 5% solution needed:

5% of the total amount = 0.05 * 1,000 = 50 milligrams

To find the amount of the 20% solution needed:

20% of the total amount = 0.20 * 1,000 = 200 milligrams

Since we need an equal amount of both the 5% and 20% solutions to achieve the 10% concentration, each solution should be 500 milligrams.

In summary, to create a 10% solution of 1,000 milligrams, you will need 500 milligrams of the 5% solution and 500 milligrams of the 20% solution.

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Answer: 45

Step-by-step explanation:

vertical angle theorem says that when you have intersecting lines, the angles across are equal

so <9 = <8 = 45

Answer:

45°

Step-by-step explanation:

When 2 lines intersect at a point, opposite angles are congruent.  Angles 8 and 9 are opposite angles, so these are called vertical angles.

If angle <9 is 45 degrees, then <8 is also 45 degrees.

Hope this helps! :)

Answer:

60°

Step-by-step explanation:

The whole circunference is 360° from a central angle

so from an inscribed angle is 180°

notice that arc ABC + arc ADC make the whole circunference

so the inscribed angles that support those arc together must add to 180°

120°+b=180

b=60

from here we deduce that a cyclic quadrilateral (a quadrilateral that his points are on a circunference) oposite angles add up to 180

Answer:

7.2 minutes

Step-by-step explanation:

The formula to find the time using the radioactive decay rate formula is given as:

t = t½ × In(Nt/No)/-In2

Where

t½ = half life = 6 minutes

No = Initial Amount = 260 grams

Nt = Amount after decay

= 113 grams

Hence:

t = 6 × In(113/260)/-In2

t = 7.2131331036796 minutes

Approximately = 7.2 minutes

Answer:

18.027

Step-by-step explanation:

7.264+3.873+6.89

18.027

Answer:

C. Translation 5 units left and 2 units down

Step-by-step explanation:

Let's take a look at A', which is (0, 0). This is the result of A, which is (5, 2) being transformed somehow. Notice that the x-coordinate moved 5 units to the left (from 5 to 0, which means we subtract 5 from 5). And, notice that the y-coordinate moved 2 units down (from 2 to 0, so we subtract 2 from 2).

Look to see if this works for the other two points:

B(6, 1): if we subtract 5 from the x-coordinate 6, we get 6 - 5 = 1, which matches the x-coordinate of the image B'. If we subtract 2 from the y-coordinate of B, which is 1, we get 1 - 2 = -1, which also matches the y-coordinate of B'. So, this works.

C(4, 5): if we subtract 5 from the x-coordinate 4, we get 4 - 5 = -1, which matches the x-coordinate of the image C'. If we subtract 2 from the y-coordinate of C, which is 5, we get 5 - 2 = 3, which also matches the y-coordinate of C'. So, this again works.

Therefore, we know that the transformation is a translation 5 units left and 2 units down, or C.

A picture will be shown below of a graph with the points in the table.

We only need to use (5, 2) and (0, 0) to solve this problem.

We take both points and see what it took for the old point to get to where the new point is (Shown in picture below).

Therefore, the answer is [ C. Translation 5 units left and 2 units down ]

Best of Luck!

The probability of selecting 4 science books and 4 math books from 7 science books and 10 math books is 0.003385.

To find the probability of selecting 4 science books and 4 math books from 7 science books and 10 math books, we can use the hypergeometric probability formula:

P(X = k) = (C(n1, k) * C(n2, n - k)) / C(N, n)

where n1 is the number of science books, n2 is the number of math books, N is the total number of books, n is the number of books we want to select, k is the number of science books we want to select, and C(n, k) is the combination function which calculates the number of ways to choose k items from n items.

In this case, n1 = 7, n2 = 10, n = 8, and k = 4.

Therefore, we have:

P(X = 4) = (C(7, 4) * C(10, 4)) / C(17, 8)

Using a TI-83 Plus/TI-84 Plus calculator, we can calculate this probability as:

P(X = 4) = 0.003385

Therefore, the probability of selecting 4 science books and 4 math books from 7 science books and 10 math books is 0.003385, or approximately 0.34%.

This probability represents the likelihood of selecting a specific combination of books from a larger pool of books. It is important to note that the order of selection does not matter in this case, so we are selecting without replacement. The hypergeometric probability formula is used in situations where we want to find the probability of selecting a certain number of items from a specific subset of items within a larger population.

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Step-by-step explanation:

Hey there!

Given;

f ( x ) = x² + 2x - 1

g ( x ) = 3x - 2

To verify:

\(( \frac{f}{g} )(2) = \frac{f(2)}{g(2)} \)

LHS:

\( (\frac{f}{g} )(x) = \frac{ {x}^{2} + 2x - 1}{3x - 2} \)

~ Insert "2" instead of "x".

\( (\frac{f}{g} )(2) = \frac{ {2}^{2} + 2 \times 2 - 1 }{3 \times 2 - 2} \)

Simplify it;

\( \frac{f}{g} (2) = \frac{4 + 4 - 1}{6 - 2} \)

Therefore; (f/g)(2) = 7/4.

RHS:

\( \frac{f(x)}{g(x)} = \frac{ {x}^{2} + 2x - 1}{3x - 2} \)

~Insert "2" instead of"x".

\( \frac{f(2)}{g(2)} = \frac{ {2}^{2} + 2 \times 2 - 1 }{3 \times 2 - 2} \)

Simplify it.

\( \frac{f(2)}{g(2)} = \frac{4 + 4 - 1}{6 - 2} \)

Therefore, f(2)/g(2) = 7/4.

Since (f/g)(2) = f(2)/g(2) = 7/4.

Proved!

Hope it helps!

Step-by-step explanation:

Soo :

\( \tt( \frac{f}{g} )(2) = \frac{f(2)}{g(2)} \)

\( \tt( \frac{ {x}^{2} + 2x - 1 }{3x - 2} )(2) = \frac{ {2}^{2} + 2(2) - 1 }{3(2) - 2} \)

\( \tt( \frac{ {2}^{2} + 2(2) - 1}{3(2) - 2} )= \frac{7}{4} \)

\( \boxed{ \tt \frac{7}{4} = \frac{7}{4} }\)

Soo true.

Answer:

linear function............

Answer:

b ≤ -200

( - ∞, -200]

Explanation:

We have to solve

for b.

Multiplying both sides by -10 reverses the direction of the inequality and gives

which simplifies to give

We plot the above on the number line.

The above plot tells us that all values of b less than or equal to -200 satisfies the inequality.

Using the interval notation, we write the interval as

Where parenthesis tells us that ∞ itself is not included in the interval, the bracket '[' tells us that -200 is included in the interval.

Answer:

48*

Step-by-step explanation:

all triangle angles equal 180

180-132 = 48

- Gage Millar, Algebra 2 tutor

Answer:

102+30=132

180-132=48

Step-by-step explanation:

The Vector functions are :

a) r(t) = (1-t) <2, 3> + t <-1, 5>

b)r(t) = (1-t) <0, 4> + t <-2, 0>

c) x = 3 cos(t), y = 3 sin(t)

(a) The line segment from (2, 3) to (-1,5):

To draw the line segment from (2, 3) to (-1, 5), we first plot the two points on the Cartesian plane:

        (2, 3)

           *

          /

         /

        /  

(-1, 5) *

The direction of motion along this line segment is from (2, 3) to (-1, 5), so we can write a vector function that starts at (2, 3) and ends at (-1, 5) by using the position vector:

r(t) = (1-t) <2, 3> + t <-1, 5>

where t ranges from 0 to 1. This vector function starts at (2, 3) when t = 0 and ends at (-1, 5) when t = 1.

(b) The part of y=4 – x^2 from (0,4) to (-2,0):

To draw the part of y = 4 - x^2 from (0, 4) to (-2, 0), we first plot the two points on the Cartesian plane:

   (0, 4)    *

             / \

            /   \

           /     \

(-2, 0) *  /       \

          *--------*

The direction of motion along this curve is from (0, 4) to (-2, 0), so we can write a vector function that starts at (0, 4) and ends at (-2, 0) by using the position vector:

r(t) = (1-t) <0, 4> + t <-2, 0>

where t ranges from 0 to 1. This vector function starts at (0, 4) when t = 0 and ends at (-2, 0) when t = 1.

(c) The part of the circle x^2 + y^2 = 9 from (3, 0) to (0, -3), moving counter-clockwise:

To draw the part of the circle x^2 + y^2 = 9 from (3, 0) to (0, -3), moving counter-clockwise, we first plot the two points on the Cartesian plane:

markdown

         * (3, 0)

       / | \

     /   |   \

    *----*----*

(0, -3)

We know that the equation of the circle is x^2 + y^2 = 9, so we can parameterize this curve by writing x and y in terms of cos(t) and sin(t):

x = 3 cos(t)

y = 3 sin(t)

where t ranges from π/2 to π. This vector function starts at (3, 0) when t = π/2 and ends at (0, -3) when t = π. Since we want to move counter-clockwise along the circle, we start at the point (3, 0) and move towards (0, -3) as t increases.

In mathematics, we use vector functions to describe curves in two- or three-dimensional space. Vector functions are functions that map a parameter t to a vector in space, allowing us to describe the position and movement of an object over time.

In this problem, we are asked to draw three different curves in the plane and write vector functions that describe each curve.

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The standard error of the mean is 2.63.

The standard error simply means the statistical term that's used to measure the accuracy through which the sample distribution illustrates a population by using the standard deviation.

In this case, the effect of using standing height desks on the energy expended by nine elementary school students was studied.

The standard error will be:

= s /✓n

where

s = standard deviation

n = number of students = 9

= 7.9 / ✓9

= 7.9 / 3

= 2.63

The standard error is 2.63.

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The area of the rectangle is 24 square units.

To find the area of the rectangle, we first need to find the length and width. Let's assume the length of the rectangle is x. According to the given information, the width is 5 greater than the length, so the width would be x + 5.
The formula for the perimeter of a rectangle is 2(length + width). In this case, the perimeter is given as 22, so we can set up the equation:
2(x + x + 5) = 22
Simplifying the equation, we get:
2(2x + 5) = 22
4x + 10 = 22
4x = 12
x = 3
Now that we know the length is 3, we can find the width:
Width = 3 + 5 = 8
To find the area of the rectangle, we multiply the length and width:
Area = length * width
Area = 3 * 8
Area = 24
Therefore, the area of the rectangle is 24 square units.

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Darwin's geometric ratio of increase pertains specifically to the growth rate of populations in biological organisms. According to Darwin's theory of evolution, populations have the potential to increase exponentially over time if certain conditions are met. The geometric ratio of increase, often denoted as "r" or the intrinsic rate of natural increase, represents the factor by which a population multiplies during each reproductive cycle or generation.

In the context of natural selection, individuals with higher reproductive rates (higher r-values) have a greater chance of passing on their genetic traits to the next generation. Over time, this can lead to significant population growth and evolutionary changes within a species. However, the geometric ratio of increase is limited by various factors, such as availability of resources, competition, predation, and environmental constraints, which can result in a balance between population growth and environmental carrying capacity.

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Answer: 4 and 5

Step-by-step explanation:

4.89 is higher than 4 and lower than 5

Answer:

B. 32

Step-by-step explanation:

5+3=8

8×4=32

// have a great day //

Answer:

8/9

Step-by-step explanation:

your adding 1/18 each time

a) X'Y' + X'Y + XY simplifies to X' + Y.

b) A'BC' + ABC' + BC'D simplifies to BC'.

Complement of the functions:

a) Complement is W' + X' + YZ.

b) Complement is (A' + B + C)(A'B' + C' + A'B).

a) To prove X'Y' + X'Y + XY = X' + Y, we can use Boolean algebra identities:

X'Y' + X'Y + XY

= Y'(X' + X) + XY(Distributive Law)

= Y' + XY(X + X' = 1)

= X' + Y(Commutative Law)

Therefore, X'Y' + X'Y + XY simplifies to X' + Y.

b) To prove A'BC' + ABC' + BC'D = BC', we can simplify the expression using Boolean algebra:

A'BC' + ABC' + BC'D

= BC'(A' + A) + BC'D   (Distributive Law)

= BC' + BC'D(A + A' = 1)

= BC'(BC' + BC'D = BC' + BC'(1) = BC')

Hence, A'BC' + ABC' + BC'D simplifies to BC'.

Complement of the given functions:

a) The complement of WX(Y'Z + YZ') + W'X'(Y' + Z)(Y + Z') is W' + X' + YZ.

b) The complement of (A + B' + C')(A'B' + C)(A + B'C') is (A' + B + C)(A'B' + C' + A'B).

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Answer:

5x² + 10

Step-by-step explanation:

5(x² + 2)

= 5x² + 10

Answer:

Step-by-step explanation:

The the terms be x and y

The sum of the terms = x+y

Difference of terms = x-y

Product of the sun and differences will be expressed as:

(x-y)(x+y) = x²-xy+xy-y²

(x-y)(x+y) = x²-y²

Hence the product of the terms is equivalent to the difference of two squares of the terms

First and foremost, it is important to note that human skin color is determined by a variety of factors, including genetics, environmental influences, and geographic location. In fact, skin color is the result of the amount and type of melanin pigment produced by specialized cells in the skin called melanocytes.

There are two main types of melanin pigment: eumelanin and pheomelanin. Eumelanin is responsible for producing darker skin colors, while pheomelanin produces lighter skin colors. However, the amount and distribution of these pigments can vary greatly between individuals, resulting in a wide range of skin tones.

Additionally, skin color can also be influenced by factors such as sun exposure, age, and hormonal changes. For example, prolonged sun exposure can lead to darker skin, while aging and hormonal changes can cause changes in skin pigmentation. Furthermore, it is important to note that skin color is not always clearly defined or easily categorized into specific shades. There can be a great deal of variation within a single skin tone, as well as overlap between different skin tones. This is due to the complex interplay of genetic and environmental factors that contribute to skin color.

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Answer:

\( |4.2 - 6.8| + (2.4 + 7.2)\)

\( = | - 2.6| + 9.6\)

\( = 2.6 + 9.6\)

\( = 12.2\)

Answer:

u can use substitute or eliminate

Answer:

2/3

Step-by-step explanation:

5/6*4/5=20/30

20/30 divided by ten equals 2/3

the answer is 2/3

Answer:

The answer is (61/3), (-23/3)

Step-by-step explanation:

Add the equations in order to solve for the first variable. Plug this value into the other equations in order to solve for the remaining variables.

Hoped this helped!