I need help on this question

Answer:

x = 19

Step-by-step explanation:

you can set up a proportion among corresponding sides:

2x -14 = 18

   32        24

18 /24 can be reduced to 3/4

2x - 14 = 3

   32        4

cross-multiply:  4(2x - 14) = 32(3)

                          8x - 56 = 96

                          8x = 152

                           x = 19

2 cos 35 sin 67 can be expressed as the sum of sin(102) and -sin(32).

To express 2 cos 35 sin 67 as a sum, we can use the trigonometric identity for the product of two sine or cosine functions.

Specifically, the identity states that 2 cos A sin B can be written as

sin(A + B) + sin(A - B).

Applying this identity, we have:

2 cos 35 sin 67 = sin(35 + 67) + sin(35 - 67)

Simplifying the expressions inside the sine functions:

sin(102) + sin(-32)

Since the sine function is an odd function,

sin(-x) = -sin(x),

so we can rewrite the equation as:

sin(102) - sin(32)

Therefore, 2 cos 35 sin 67 can be expressed as the sum of sin(102) and -sin(32).

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Answer:

$7561.898

Explanation:

To find the total value of the investment after t quarters, we can use the following equation:

Where P is the initial investment, r is the interest rate and t is the number of quarters.

Since every year has 4 quarters, 5 years have 20 quarters.

So, replacing P by $2850, r by 0.05, and t by 20, we get:

Therefore, the total value of the investment after 5 years is $7561.898

Answer:

math  way

Step-by-step explanation:

The domain of the graph of the exponential function is (d) all real numbers

From the question, we have the following parameters that can be used in our computation:

The graph of the exponential function

The rule of an exponential function is that

The domain is the set of all real numbers

This means that the input value can take all real values

However, the range is always greater than the constant term

From the graph, the constant term is 0

So, the range is y > 0

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Answer:

y=−2x+5

Use the slope-intercept form to find the slope and y-intercept.

The slope-intercept form is

y=mx+b , where m is the slope and b is the y-intercept.

y=mx+b

Find the values of

m and b

using the form

y=mx+b.

m=−2b=5

The slope of the line is the value of m , and the y-intercept is the value of

b.

Slope: −2

y-intercept:

(0,5)

Any line can be graphed using two points. Select two x values, and plug them into the equation to find the corresponding y values.

Graph the line using the slope and the y-intercept, or the points.

Slope:  −2

y-intercept:  (0,5)

X|Y

0 5

1  3

Step-by-step explanation:

The required graph of the equation y = -2x +5 has been shown.

The graph is a demonstration of curves that gives the relationship between the x and y-axis.

Here,
As the given equation y = -2x+5 represents a straight line,
in order to graph the line,
We must know, the two points on the line,
So,
Put x = 0 on the equation,
y = 5,

And put y = 0,
0 = -2x + 5
x = 2.5,

Now, locate the points (0, 5) and (2.5, 0) on the graph and draw the straight curve joining these two points will be the required graph of the equation,

Thus, the required graph of the equation y = -2x +5 has been shown.

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The volume of cone is 175 m³

Firstly,

Volume of Pyramid.

The volume (V) of a pyramid is  

V = ⅓Ah

Data:

V = 175m³

Calculation:

175 = ⅓× A× h

Ah = 175*3

Ah = 525m³

Secondly,

The volume (V) of a cone is

V = ⅓Ah

Data:

Ah = 525 m³

Calculation:

V = ⅓ A× h

V = 175 m³

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Answer:

Follows are the solution to the given points:

Step-by-step explanation:

For point a:

When Player A selects Top, Player B selects Left or Right.

Player B selects Right when player A selects Bottom

Thus, player B's best statement is correct.

When player B selects the left, then game A selects the top

When player B selects the right, player A selects the top

Hence, Player A's right response is Top.

For point b:

The main strategy inside the game is Player A, which would be Top. Since he won't choose Below except under situations since the payment to Bottom is below his payoff for Top irrespective of player B.

For point c:

Player A will purely pick Top & Player B right and player A also will pick Top and player B is right. Game A will's pattern. In this case, neither player has the motive to move away. There are two Nash balances since player B is paid the same amount, irrespective of what he's playing any strategy, as player A is always at the top.

For point d:

Consider if player B plays left with "q" probability and right with "1-q" probability. We're done

\(2q + 2(1-q) = 3q+4(1-q) \\\\2(1-q) - 4(1-q) = 3q - 2q \\\\-2(1 - q) = q \\\\-2 + 2q = q \\\\2q-q= 2 \\\\q= 2\\\)

It is not possible since q is a chance that really can exceed 1. Hence, for this game, there is no mixed strategy nash balancing.

Answer: A = 1350 cm²

Step-by-step explanation:

The surface area of a cube is A = 6 . a²

That means A = 6 . 15²

A = 1350 cm²

Hope that helps

y = -2x - 4

explaination :

y = mx + b

m = -2

b = -4

Answer:

Diagram 1:

a = 54°

b = 54°

Diagram 2:

a = 74°

b = 106°

c = 106°

d = 65°

e = 65°

Step-by-step explanation:

Diagram 1:

a = 54° (alternate angles are equal)

b = a (vertically opposite angles are equal)

a = 54°

Therefore,

b = 54°

Diagram 2:

a = 74° (alternate angles are equal)

a + b = 180 (sum of angles on a straight line)

74 + b = 180

Collect like terms

b = 180 – 74

b = 106°

74 + c = 180 (sum of angles on a straight line)

74 + c = 180

Collect like terms

c = 180 – 74

c = 106°

d = 65° (corresponding angles are equal)

e = d (vertically opposite angles are equal)

d = 65°

Therefore,

e = 65°

The value of m + n is given as follows:

A. 18.

The exponential expression for this problem is defined as follows:

\((x^5y^6)^{\frac{1}{5}}(x^3y^4}^{\frac{1}{4}}\)

Applying the power of power rule, we have that the exponents are given as follows:

Then the values of m and n are given as follows:

m = 7, n = 11.

Thus the sum is given as follows:

m + n = 7 + 11 = 18.

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Answer:

So the question isnt completely clear but i can work with thtis. If your asking what i think your asking then lok for this line:

The line should be positive meaning it points in the top right corner. It should pass through 0,0 and from that point you should be able to go up 1 and over 3 where that point you just made should be on the line. If you can continue this proccess from each new point you create and the points are on the line then that is your graph.

Step-by-step explanation:

Answer:

x < -3 or x > 2

Step-by-step explanation:

x² + x - 6 > 0

Convert the inequality to an equation.

x² + x - 6 = 0

Factor using the AC method and get:

(x - 2) (x + 3) = 0

If any individual factor on the left side of the equation is equal to 0, the entire expression will be equal to 0.

x - 2 = 0

x = 2

x + 3 = 0

x = -3

So, the solution is x < -3 or x > 2

Answer:

12.3459 grains

Step-by-step explanation:

Answer:

12.346 grains

Step-by-step explanation:

for an approximate result, multiply the mass value by 15.432

( which is basically 0.8 times 15.432)

Option(A) is the correct answer is A. 1,335 birds.

To calculate the number of birds that will be left after 20 years, we need to consider the annual decline rate of 2%.

We can use the formula for exponential decay:

N = N₀ * (1 - r/100)^t

Where:

N is the final number of birds after t years

N₀ is the initial number of birds (2,000 in this case)

r is the annual decline rate (2% or 0.02)

t is the number of years (20 in this case)

Plugging in the values, we get:

N = 2,000 * (1 - 0.02)^20

N = 2,000 * (0.98)^20

N ≈ 2,000 * 0.672749

N ≈ 1,345.498

Rounded to the nearest whole number, the number of birds that will be left after 20 years is 1,345.

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Answer:

10.50$

Step-by-step explanation:

We know that the price for 12 cans is $18. So we can set up an equation. Let c equal the price of one can.  One can cost 1.50 thats cause 18 divided by 12 is 1.50. Now you just take 1.50 and add that 7 times.

u diviide the number of candies by the number of people

Step-by-step explanation:

5/4

Answer:

Each child would get 1 1/4 of a candy bar

Step-by-step explanation:

If Seymour is 1 out of 4 kids and has 5 candy bars each kid gets 1 candy bar (4 candy bars) and then there is 1 candy bar remaining. This 1 candy bar can then be split into 1/4ths so each kid gets 1 1/4 candy bars.

The area of quadrilateral QUAD is 2.5 square units.

To find the area of quadrilateral QUAD with vertices Q (-4, 3), U (3, 6), 1 (6, 3), and D (1, -4), we can use the Shoelace formula (also known as Gauss's area formula or the surveyor's formula).

The Shoelace formula states that the area of a polygon with vertices (x1, y1), (x2, y2), ..., (xn, yn) can be calculated as:

\(Area = 1/2 * |(x1y2 + x2y3 + ... + xny1) - (x2y1 + x3y2 + ... + x1yn)|\)

Using this formula, we can calculate the area of quadrilateral QUAD as follows:

Area = \(1/2 * |(-46 + 33 + 6*(-4) + 13) - (33 + 6*(-4) + 1*(-4) + (-4)*3)|\)

Simplifying the expression, we get:

\(Area = 1/2 * |(-24 + 9 - 24 + 3) - (9 - 24 - 4 - 12)|Area = 1/2 * |(-36) - (-31)|Area = 1/2 * |-36 + 31|Area = 1/2 * |-5|Area = 1/2 * 5Area = 5/2\)

The area of quadrilateral QUAD is 2.5 square units.

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The area of quadrilateral QUAD is 17.5 square units.

The area of quadrilateral QUAD, we can use the Shoelace Formula, also known as the Gauss's Area Formula.

The formula states that if the coordinates of the vertices of a polygon are given in order, then the area of the polygon can be calculated using the following formula:

Area = 1/2 × |(x1y2 + x2y3 + ... + xn-1yn + xny1) - (y1x2 + y2x3 + ... + yn-1xn + ynx1)|

Let's apply this formula to find the area of quadrilateral QUAD:

Q (-4, 3)

U (3, 6)

A (6, 3)

D (1, -4)

Area = 1/2 × |(-4 × 6 + 3 × 3 + 6 × (-4) + 3 × (-1)) - (3 × 3 + 6 × (-4) + (-4) × (-1) + (-1) × (-4))|

Area = 1/2 × |(-24 + 9 - 24 - 3) - (9 - 24 + 4 + 4)|

Area = 1/2 × |(-42) - (-7)|

Area = 1/2 × |-42 + 7|

Area = 1/2 × |-35|

Area = 1/2 × 35

Area = 17.5

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largest 4 digit number : 9999

smallest 4 digit numbers : 1000

Difference = 9999 - 1000 = 8999

Answer:

( 2, 60 )

Step-by-step explanation:

→ Read along the x - axis and then the y axis

Answer:

The bus would be 36 times late in 400 times of when Fred takes the bus

Step-by-step explanation:

Given that the probability of being the bus late is 0.09.

In order to find the number of times the bus will be late will be calculated by multiplying the total number of observations by probability.

It is also given that the total number of days he waits for bus is 400 times.

So,

The bus will be:

\(= 0.09*400\\=36\)

Hence,

The bus would be 36 times late in 400 times of when Fred takes the bus

The population of the cells after 7 days is 12800 cells.

The population will first exceed 60000 cells after 9.2 days.

A function is a relationship between inputs where each input is related to exactly one output.

Example:

f(x) = 2x + 1

f(1) = 2 + 1 = 3

f(2) = 2 x 2 + 1 = 4 + 1 = 5

The outputs of the functions are 3 and 5

The inputs of the function are 1 and 2.

We have,

Initial population = 100 cells

The number of population after x days is given by.

f(x) = 100 x \(2^x\)

Now,

The population after 7 days.

f(7) = 100 x \(2^7\)

f(7) = 100 x 8 x 8 x 2

f(7) = 100 x 2 x 64

f(7) = 200 x 64

f(7) = 12800

The population after 9 days.

= 100 x 512

= 51,200

The population after 9.23 days.

= 100 x 600.49

= 60049

The population after 10 days.

= 100 x 1024

= 102,400

This means,

The population will exceed 60,000 after 9.23 days

Thus,

The population after 7 days is 12800.

The population will exceed 60,000 population after 9.2 days.

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Answer:

Answer is Option 2

Step-by-step explanation:

Triangles equal to 180 degrees in total. So it is 55+54+x+74=180

The simplified version that I just wrote is Option 2

Given:

Line segment NY has endpoints N(-11, 5) and Y(3,-3).

To find:

The equation of the perpendicular bisector of NY.

Solution:

Midpoint point of NY is

\(Midpoint=\left(\dfrac{x_1+x_2}{2},\dfrac{y_1+y_2}{2}\right)\)

\(Midpoint=\left(\dfrac{-11+3}{2},\dfrac{5-3}{2}\right)\)

\(Midpoint=\left(\dfrac{-8}{2},\dfrac{2}{2}\right)\)

\(Midpoint=\left(-4,1\right)\)

Slope of lines NY is

\(m=\dfrac{y_2-y_1}{x_2-x_1}\)

\(m=\dfrac{-3-5}{3-(-11)}\)

\(m=\dfrac{-8}{14}\)

\(m=\dfrac{-4}{7}\)

Product of slopes of two perpendicular lines is -1. So,

\(m_1\times \dfrac{-4}{7}=-1\)

\(m_1=\dfrac{7}{4}\)

The perpendicular bisector of NY passes through (-4,1) with slope \(\dfrac{7}{4}\). So, the equation of perpendicular bisector of NY is

\(y-y_1=m_1(x-x_1)\)

\(y-1=\dfrac{7}{4}(x-(-4))\)

\(y-1=\dfrac{7}{4}(x+4)\)

\(y-1=\dfrac{7}{4}x+7\)

Add 1 on both sides.

\(y=\dfrac{7}{4}x+8\)

Therefore, the equation of perpendicular bisector of NY is \(y=\dfrac{7}{4}x+8\).

1:20 i think sooo.Je suis américain et habite dans les montagnes vertes du vermont . Je premier apprend français il y a un an parce que c'est un beau langue . Oui, je sais mon français est mauvais, mais J'aime l'apprendre . Je suis dix-sept et j'ai un chien blanc petit . Ma famille l'appelle snowball et il est tres gentil . Mon préféré endroit en la monde est les montagnes car ils sont très beau dans tout quatre saisons . Merci pour votre temps et au revoir .

Answer:

polkadot's strips

plain stripes

polkadot's plain

Step-by-step explanation:

3