Find the exact value of x

Answer:

yes

Step-by-step explanation:

Answer: the first box is does not the 2st box does  i hope this helps

Step-by-step explanation:

Answer:

Step-by-step explanation:

(-2, 3) (2, -1)

(-1 - 3)/(2 + 2)= -4/4 = -1

m = -1

does

does not

y - 3 = -1(x + 2)

y - 3 = -x - 2

y = -x + 1

Option 1

The required graph has been attached below which represents the given linear equation y = (2/5)x - 4.

A graph can be defined as a pictorial representation or a diagram that represents data or values.

To plot the graph of y = (2/5)x - 4, you can follow these steps:

Choose a range of values for x that you want to plot. For example, you can choose x values from -10 to 10.

Substitute the x values into the equation to find the corresponding y values. For example, if x = -10, then y = (2/5)(-10) - 4 = -8.

Plot the ordered pairs (x, y) on a coordinate plane. For example, if x = -10 and y = -8, plot the point (-10, -8) on the plane.

Repeat this process for several x values to plot additional points.

Connect the points with a straight line to obtain the graph of the equation y = (2/5)x - 4.

Note that the graph should be a straight line with a slope of 2/5 and a y-intercept of -4.

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The question seems incomplete, the correct question would be as:

How to plot the graph of y = (2/5)x — 4?

The boat has a top speed of approximately 29.7 miles per hour and a displacement of approximately 73,934 metric tons.

Answer:

[tex]29.9[/tex] miles per hour

[tex]73482[/tex] metric tons

Step-by-step explanation:

We are given:

top speed of 26 knots

displacement of 81,000 tons

It is asking us to convert knots to miles per hour.

It is asking us to convert tons to metric tons.

We can use conversion factors to complete the unit conversions.

1 knot (kt) = 1.15077945 miles per hour (mph)

1 ton = 0.907185 metric tons

Numerical Evaluation

Lets convert our top speed.

We can set up an equation like this

[tex]\frac{1}{1.15077945} =\frac{26}{x}[/tex]

Lets solve for [tex]x[/tex].

Cross multiply.

[tex]1x=26*1.15077945[/tex]

Evaluate [tex]26*1.15077945[/tex].

[tex]26*1.15077945 =29.9202657[/tex]

Round to the nearest tenth.

[tex]29.9[/tex] miles per hour

Lets convert our displacement.

We can set up an equation like this

[tex]\frac{1}{0.907185 } =\frac{81000}{x}[/tex]

Lets solve for [tex]x[/tex].

Cross multiply.

[tex]1x=81000*0.907185[/tex]

Evaluate [tex]81000*0.907185[/tex].

[tex]81000*0.907185=73481.985[/tex]

Round to the nearest tenth.

[tex]73482[/tex] metric tons

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The critical value strategy entails deciding whether or not the observed test statistic is more extreme than would be anticipated if the null hypothesis were true in order to determine whether something is "likely" or "unlikely."

How do you determine the rejection zone and the crucial value?

The rejection zone is the area in which we have sufficient data to reject the null hypothesis if our test statistic falls within it. The rejection area, for the right-tailed test, for instance, is any value bigger than the critical value, or c 1 .

To execute any hypothesis test, the critical value technique entails four specific phases, which are as follows:

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The answer is B. 18

When solving similar triangles, you must set up a proportion. We do not know what the other two lengths are for side AB, but we can still solve another way. For side AC, we can set up a proportion of 33/44. We're going to take AM and put that over the total. The total length of side AB is 24, and we're going to use x for AL.

33/44 = x/24

Once finished solving the proportion, you are left with 18

The missing length of triangle is 18.

What exactly is a triangle?

Triangles are polygons in geometry that have three sides and three vertices. This is a two-dimensional figure with three straight sides. A triangle is a three-sided polygon. A triangle's three angles added together equals 180°. A single plane contains the triangle. The triangle is classified into six forms based on its sides and angles.

A triangle is categorised into three categories based on its sides, namely:

A triangle is categorised into three categories based on its angles, namely:

Now,

As these triangles are similar that means

we can find the proportion of sides from given sides and

from that find x.

So, here  AC/AM=AL/AB

44/33=24/x

AL=24*33/44

AL=18

Hence,

            The missing length AL of triangle is 18.

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Step-by-step explanation:

we need to remember 2 things for right-angled triangles (which we need to use to find the sides of the rectangle, so that we then can calculate the area) :

1. Pythagoras

a² + b² = c²

with c being the Hypotenuse (the side opposite of the 90° angle), a and b being the legs.

2. geometric mean theorem

height = sqrt(p×q)

with p and q being the segments of the baseline the height is splitting it into. in our case MA and AL.

so, to get the length of the rectangle (PL) we use Pythagoras :

PL² = 6² + 8² = 36 + 64 = 100

PL = 10 units

to get PM we first need to get ML. and for that we need to get MA.

6 = sqrt(MA × 8)

36 = MA × 8

MA = 36/8 = 4.5 units

that means ML = 8 + 4.5 = 12.5 units

and again Pythagoras

ML² = PL² + PM²

12.5² = 10² + PM²

156.25 = 100 + PM²

56.25 = PM²

PM = 7.5 = 7.5 units

so, the area of the rectangle is

10 × 7.5 = 75 = 75.00 units²

to "round" to the nearest hundredth.

Answer is B. 
y= 2x -3 y= -2x + 1

step by step

First I found the y intercepts at (red line) -3 and (green line) +1.

There is only one answer that shows these two y intercept values.

 To double check this answer, I checked the slope of each line. The red line has a slope of 2 and the green line has a slope of -2.

Slope was found on the graph finding rise over run and compared to the number next to x in the equations.

See attached graph.

The values of p for which the equation (p+1)x² + 4px +9=0 has equal roots:

p =  (36 ± 59.8)/32

An equation is a mathematical term, which indicates that the value of two algebraic expressions are equal. There are various parts of an equation which are, coefficients, variables, constants, terms, operators, expressions, and equal to sign.

For example, 3x+2y=0.

Types of equation

1. Linear Equation

2. Quadratic Equation

3. Cubic Equation

Given that,

The quadratic equation,

(p+1)x² + 4px +9=0

So, for equal roots, we have:

(4p)² - 4 x (p + 1) x 9 = 0

Solving for p, we get:

16p² - 36 p -36 = 0

This is a quadratic equation, and we can find the roots using the quadratic formula:

x = (-b ± √(b² - 4ac)) / (2a)

Where a = 16, b = -36, and c = -36.

Plugging in the values into the formula, we get:

p = (36 ± 59.8)/32

Thus, the values of p for which the equation (p + 1)x² + 4px + 9 = 0 have equal roots are  (36 ± 59.8)/32.

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Let R be the radius in millions of miles and let t be the time in days. Assume that when t = 0 the radius is 20 million miles and increasing then  R(t) = 20 + 1.6sin(2πt/5.2).

The equation for a sine wave is y = A sin (Bx + C) where A is the amplitude, B is the frequency and C is the phase shift.

In this case, the amplitude is 1.6.

Since the radius changes by a maximum of 1.6 million miles.

The frequency is 2π/5.2 (one full cycle of the sine wave in 5.2 days)

The phase shift is 0, since when t = 0 the radius is increasing.

The equation then becomes R(t) = 20 + 1.6sin(2πt/5.2)

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The proportional relationship used to find the distance that the train will travel after m minutes is given as follows:

d = 0.12m.

A proportional relationship is defined as follows:

y = kx.

In which k is the constant of proportionality.

Considering that when the input is of 5, the output is of 0.6, the constant of the relationship in this problem is given as follows:

k = 0.6/5

k = 0.12.

Hence the equation is given as follows:

d = 0.12m.

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The velocity of the apple, to the nearest hundredth, when it hit the ground is equal to 13.35 meters per seconds.

In Mathematics, a function is a mathematical expression which is typically used for defining and representing the relationship that exists between two or more variables.

From the information provided about an apple that fell off a branch of the tree, a function that models the velocity of the apple include the following:

Velocity = (19.8d)^{1/2}

Where:

d represents the distance in meters.

Velocity = (19.8 × 9)^{1/2}

Velocity = (178.2)^{1/2}

Velocity = 13.35 meters per seconds.

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Given expression q=p+7

Expression can be defined as contains one or more variables and constants with one or more arithmetic operators.

Simply put the p values in the expression. solve it and get the q values.

q=p+7 in the place of p submit p=0

q=0+7

q=7

q=p+7  in the place of p submit p=2

q=2+7

q=9

q=p+7  in the place of p submit p=3

q=3+7

q=10

Therefore, The values of q are 7,9,10

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The missing numbers are:

7,9 and 10 when 0, 2, and 3 respectively.

Two algebraic expressions having the same value and symbol '=' in between are called an equation.

Given:

An equation,

q = p + 7.

Substituting the values of p:

When p = 0,

q = 0 + 7

q = 7.

When p = 2,

then q = 9.

And when p = 3,

q = 10

Therefore, all the required values are given above.

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The value of sin B rounded to the nearest hundredth is 0.80.

Trigonometric functions are defined as the real functions which are simply the functions of an angle of a triangle. They are basically the periodic functions which relate an angle in a right angled triangle to the ratios of the length of two sides.

The right triangle represented in the question is given below.

We know that sine of an angle in a right angled triangle is the ratio of it's opposite side to hypotenuse.

In the triangle ABC, AB is the hypotenuse and AC is the opposite side of B.

Sin B = AC / AB

Sin B = b / c

Sin B = 20 / 25

Sin B = 0.8

Hence the value of sine of B is 0.8.

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Answer:

(a) To determine the mean and standard deviation of Y, we need to find the expected value and standard deviation of the number of defects that can be sold by Company F. Since the number of defects that can be sold is equal to X if X is less than or equal to 2, and equal to 2 if X is greater than 2, we can use the following formula to find the expected value of Y:

E(Y) = P(X = 0) × 0 + P(X = 1) × 1 + P(X = 2) × 2 + P(X > 2) × 2

E(Y) = 0.58 × 0 + 0.23 × 1 + 0.11 × 2 + 0.03 × 2

E(Y) = 0.23 + 0.22 + 0.03

E(Y) = 0.48

To find the standard deviation of Y, we can use the following formula:

Var(Y) = P(X = 0) × (0 - E(Y))^2 + P(X = 1) × (1 - E(Y))^2 + P(X = 2) × (2 - E(Y))^2 + P(X > 2) × (2 - E(Y))^2

Var(Y) = 0.58 × (0 - 0.48)^2 + 0.23 × (1 - 0.48)^2 + 0.11 × (2 - 0.48)^2 + 0.03 × (2 - 0.48)^2

Var(Y) = 0.58 × 0.2304 + 0.23 × 0.1024 + 0.11 × 0.0304 + 0.03 × 0.0304

Var(Y) = 0.1333

The standard deviation of Y is the square root of the variance:

StdDev(Y) = √Var(Y)

StdDev(Y) = √0.1333

StdDev(Y) = 0.3663

So, the mean and standard deviation of Y are 0.48 and 0.3663, respectively.

(c) To find the mean and standard deviation of the selling price for the fat quarters sold by Company G, we need to find the expected value and standard deviation of the price, taking into account the discount for each defect. We can use the following formula to find the expected value of the price:

E(Price) = $5.00 - $1.50 × E(Defects)

E(Price) = $5.00 - $1.50 × 0.40

E(Price) = $5.00 - $0.60

E(Price) = $4.40

To find the standard deviation of the price, we can use the following formula:

StdDev(Price) = $1.50 × StdDev(Defects)

StdDev(Price) = $1.50 × 0.66

StdDev(Price) = $0.99

So, the mean and standard deviation of the selling price for the fat quarters sold by Company G are $4.40 and $0.99, respectively.

The amount invested in the account that earns 7% interest is $6,000 and the amount invested in the account that earns 8% interest is $14,000.

The system of equations that represent the information in the question is:

a + b = 20,000 equation 1

0.07a + 0.08b = 1540 equation 2

Where:

a = amount invested in the account that earns 7% interest

b = amount invested in the account that earns 8% interest

The elimination method would be used to solve the equations.

Multiply equation 1 by 0.07

0.07a + 0.07b = 1,400 equation 3

Subtract equation 3 from equation 2

0.01b = 140

Divide both sides of the equation by 0.01

b = 140/ 0.01

b = 14,000

Substitute for b in equation 1:

a + 14,000 = 20,000

a = 20,000 - 14,000

a = 6,000

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The required measure of the angle x in the given right triangle is 12.38°.

If you know the lengths of two sides of a right triangle, you can use trigonometric ratios to calculate the measures of one (or both) of the acute angles.

Here,
Since the question seems to be incomplete the complete question has been attached after the solution.

We have given a triangle where x° is the angle of the right triangle where the hypotenuse is 54 and one legs is 12. With the help of trig ratios
sin x = 12 / 54
x = sin⁻¹(12/54)
x = 12.38°

Thus, the required measure of the angle x in the given right triangle is 12.38°.

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Answer:

the solution is done in the given picture..

thank you

Answer:

c

Step-by-step explanation:

trust me

Step-by-step explanation:

(x-2)(x-2)-4x

x²-2x-2x +4-4x

x²-4x-4x +4

x²-8x+4

Answer:

 4x - (x - 2)² = 4x - x² + 4 = 3x + 4

Step-by-step explanation:

Answer:

x=4

Step-by-step explanation:

-6x = -6-18

-6x = -24

-6x/-6 = -24/-6

x =4

Trigonometric ratio in option (c) tan C will not have the same value as sin A.

Trigonometric functions are defined as the periodic functions which relate an angle in a right angled triangle to the ratios of the length of two sides.

Given a right angled triangle ABC given below.

ABC angle is 90° and angle ACB is 45°.

Then angle BAC = 180° - (90° + 45°) = 45°

Since two angles are equal, it is an isosceles triangles.

So opposite sides to the equal angles are equal.

AB = BC

AC is the hypotenuse.

Sin A = Opposite side / Hypotenuse = BC / AC

(a) Cos A = Adjacent side / Hypotenuse = AB / AC = BC / AC

(b) Sin C = AB / AC = BC / AC

(c) Tan C = Opposite side / Adjacent side = AB / BC = BC / BC = 1, not equal to Sin A

(d) Cos C = BC / AC

Hence the option (c) is not equal to sin A.

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Answer:

The circumference of a circle can be calculated using the formula:

Circumference = 2πr

Where r is the radius of the circle.

Plugging in the value for the radius of the Earth, we have:

Circumference = 2π(6371 km) = 12,742 km

So the length of the rope, assuming it makes a perfect circle around the Earth, would be 12,742 km = 2π(6371) kilometers.

Step-by-step explanation:

The single payment 2 years from now will be of $13,287.26

Compound interest is a method of calculating the interest charge. In other words, it is the addition of interest on interest.

Given that money earns 7.74% compounded quarterly, a payment of $2,070 due 2 years ago, but not paid, and $300 today.

To calculate investments or debts with compound interests.

Where:

V(n) is the value of the debt after n years,

R is the annual interest rate,

t is the number of times the debt is going to be compounded annually,

n is the number of years the debt is going to be compounded,

P is the principal amount being owed.

we know that the debt will be cancelled in 2 years from now. Therefore we have that n = 2 for both debts, because after the 2rd year the debts.

Then you have that t = 4, because the debt is compounded quarterly.

We can add up the two principals $2,070 + $300 = $2,370 to make it our value P, so P = 9000.

And finally we have that R = 7.74.

Then, solve the equation for P

P = A / (1 + r/n)^nt

P = 2,370 / (1 + 7.74/365)(365)^(2)

P = $13,287.26

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Answer:

He sold 32 pounds of apples, 14 pounds of plums and 23 pounds of peaches.

Step-by-step explanation:

Let:

x = Mass of Apples (pounds)

y = Mass of plums (pounds)

z = Mass of peaches (pounds)

He sold 18 more pounds of apple than pounds of plums:         [tex]x = 18 + y[/tex]

He sold 9 less pounds of peaches than pounds of plums:         [tex]z - 9 = y[/tex]

He sold a total of 69 pounds of fruit:                                       [tex]x + y + z = 69[/tex]

We have 3 unknown variables, therefore a system of 3 linear simultaneous equations:

                                                [tex]x = 18 + y[/tex] ——- (equation i)

                                          [tex]z - 9 = y[/tex]

                                         ∴     [tex]z = 9 + y[/tex] ——— (equation ii)

                                   [tex]x + y + z = 69[/tex] ——- (equation iii)
The above linear simultaneous equations can be solved by Substitution Method:

Substitute (equation i) and (equation ii) into (equation iii) to solve for y. Expand the parenthesis and bring all the like terms together. y has to be made the subject of the equation:

[tex](18 + y) + y + (y + 9) = 69[/tex]

= [tex]18 + y + y + y + 9 = 69[/tex]

= [tex]y + y + y = 69 - 18 - 9[/tex]

= [tex]3y = 42[/tex]

= [tex]y = \frac{42}{3}[/tex]

∴ y = Mass of plums = 14 pounds

Substitute the calculated value of y into the other two equations to solve for x and for z:

                 [tex]x = 18 + (14)[/tex]

              ∴ x = Mass of apples = 32 pounds

                 [tex]z = 9 + (14)[/tex]

              ∴z = Mass of peaches = 23 pounds

Any line of the form:

y = (3/2)x + b

Is perpendicular to the given line.

A general linear equation is written as:

y = a*x + b

Where a is the slope and b is the y-intercept.

Two lines are perpendicular if the product between the slopes is -1.

Here we want to find a line perpendicular to:

2x + 3y = 10

We can rewrite this as:

3y = 10 - 2x

y = (10/3) - (2/3)*x

Then the slope of the perpendicular line must be such that:

a*(-2/3) = -1

a = 3/2

Then any line of the form:

y = (3/2)*x + b

Is perpendicular to the given line.

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The volume of the solid with a semicircular base of radius 4 whose cross sections perpendicular to the base and parallel to the diameter are squares is 512/3 cubic units

The radius of the base = 4 units

The length of the side of the square = 2x

The area of the square = a^2

Where a is side of the square

The area of the square = (2x)^2

= 4x^2

The equation of the circle is

x^2 + y^2 = 16

x^2 = 16 - y^2

The area = 4(16 - y^2 )

= 64 - 4y^2

The volume of the square

V = [tex]\int\limits^a_b {A(y)} \, dy[/tex]

= [tex]\int\limits^4_0 {64-4y^{2} } \, dy[/tex]

= 64×4 - 4×(4^3/3)

= 256 - 256/3

= 512/3 cubic units

Therefore, the volume of the solid is 512/3 cubic units

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