estimate 60% of 52 (WITH WORK!)

Answer:

  (x, y) = (1, -1)

Step-by-step explanation:

We'll write these equations in general form, then solve using the cross-multiplication method.

  43x +67y +24 = 0

  67x +43y -24 = 0

∆1 = (43)(43) -(67)(67) = -2640

∆2 = (67)(-24) -(43)(24) = -2640

∆3 = (24)(67) -(-24)(43) = 2640

These go into the relations ...

  1/∆1 = x/∆2 = y/∆3

  x = ∆2/∆1 = -2640/-2640 = 1

  y = ∆3/∆1 = 2640/-2640 = -1

The solution is (x, y) = (1, -1).

_____

Additional comment

The cross multiplication method isn't taught everywhere. The attachment explains a bit about it. Our final relationship changes the order of the fractions to 1, x, y from x, y, 1. That way, we can use the equation coefficients in their original general-form order. (The fourth column in the 2×4 array of coefficients is a repeat of the first column.)

Answer: Option E

Step-by-step explanation: You want to subtract x from both sides and add one from both sides in order to get the variables on one side.

When you do this you get 3x is greater than or equal to 3. Now divide by three on both sides. This becomes x is greater than or equal to 1. You want to find the number line with a closed circle on 1 since to represent the "or equal to" and you want it to go in the direction of left to right to represent the increase since it is "greater than".

Answer:

angle C = 36°

Step-by-step explanation:

Fun fact that I found out:

all interior angles of a triangle added together = 180°

5x + 3x + 2x = 180°

combine like terms:

10x = 180°

divide both sides of the equation by 10:

x = 18°

angle C = 2(18°) = 36°

Answer:

If Then proof has been explained below!

Step-by-step explanation:

1.) If segment XY ║ ZW, then the 154° angle ≅ ∠2 (vertical angles)

2.) If segment XY ║ ZW, then ∠2 is complementary to ∠4

3.) If ∠2 is complementary to ∠4, then ∠4 = 28°

I hope this helps! If you have any questions, feel free to add it into the comments and please rate my answer and consider marking as brainliest!

Answer:

AB = 4

\(m\angle E=30^\circ\)

Step-by-step explanation:

Similar shapes

Two figures are similar if the ratios of the lengths of their corresponding sides are equal. The corresponding angles are also congruent.

Being ABCD and EFGH similar, the ratio of the lengths of AB and EF is equal to the ratio of the lengths of AD and EH, thus:

\(\displaystyle \frac{AB}{EF}=\frac{AD}{EH}\)

Solving for AB:

\(\displaystyle AB=\frac{AD}{EH}\cdot EF\)

Since AD=6, EH=1.5, and EF=1:

\(\displaystyle AB=\frac{6}{1.5}\cdot 1\)

AB = 4

Since angle A is congruent to angle E:

\(m\angle E=m\angle A\)

\(\mathbf{m\angle E=30^\circ}\)

The region T corresponds to the area under the plane x + y + z = 1 in the first quadrant. So we have, for instance,

\(T = \left\{ (x, y, z) : 0 \le x \le 1 \text{ and } 0 \le y \le 1 - x \text{ and } 0 \le z \le 1 - x - y \right\}\)

which depends on the order of integration we choose; in this case, I use dz dy dx.

Then the integral is

\(\displaystyle \iiint_T 4x^2 \, dV = \int_0^1 \int_0^{1-x} \int_0^{1-x-y} 4x^2 \, dz \, dy \, dx\)

\(\displaystyle \iiint_T 4x^2 \, dV = \int_0^1 \int_0^{1-x} 4x^2z \bigg|_0^{1-x-y} \, dy \, dx \)

\(\displaystyle \iiint_T 4x^2 \, dV= \int_0^1 \int_0^{1-x} 4x^2(1-x-y) \, dy \, dx\)

\(\displaystyle \iiint_T 4x^2 \, dV= \int_0^1 \int_0^{1-x} (4x^2-4x^3-4x^2y) \, dy \, dx\)

\(\displaystyle \iiint_T 4x^2 \, dV = \int_0^1 (4x^2y-4x^3y-2x^2y^2) \bigg|_0^{1-x} \, dx\)

\(\displaystyle \iiint_T 4x^2 \, dV = \int_0^1 (4x^2(1-x)-4x^3(1-x)-2x^2(1-x)^2) \, dx\)

\(\displaystyle \iiint_T 4x^2 \, dV = \int_0^1 (2x^4 - 4x^3 + 2x^2) \, dx\)

\(\displaystyle \iiint_T 4x^2 \, dV = \left(\frac25 x^5 - x^4 + \frac23 x^3\right) \bigg|_0^1\)

\(\displaystyle \iiint_T 4x^2 \, dV = \frac25 - 1 + \frac23 = \boxed{\frac1{15}}\)

The decibel value of the noise is 50 db.

What is meaning of intensity of sound?

The quantity of energy going across a unit area in a unit time in a direction that is opposite to the direction of the sound waves.

The unit that used to calculate intensity of sound is decibel.

Given equation that represents the relation between intensity of sound and the ratio of the sound to the human hearing threshold is

db = 10 log i

Where i = the ratio of the sound to the human hearing threshold.

Putting i = 100,000 in the given equation:

db = 10 log 100,000

Replace 100,000 by 10⁵ :

db = 10 log 10⁵

Applying the formula of logarithm log 10^{a} = a:

db = 10 × 5

db = 50

To learn more about human hearing threshold, click on below link:

https://brainly.com/question/19920717

#SPJ4

we have the function

f(x)=(1/2)^x

Remember that

the y-intercept is the value of f(x) when the value of x=0

so

For x=0

substitute in the given function

f(x)=(1/2)^0

f(x)=1

so

the y-intercept is the point (0,1)

the answer is option A

see the attached figure to better understand the problem

Part 2

End behavior

we have that

as x→+∞ f(x)→0

as x→-∞ f(x)→+∞

therefore

Answer:

Number B

Step-by-step explanation:

As angle OAB =40-degree, angle AOB is 100 degrees according to the properties of circle and triangle.

Some Properties of circle are distance from center of the circle to each point on the circumstances are equal. hence, OA=OB

Diameter is twice of radius.

The triangle having two equal side length is called isosceles triangle. In the figure, triangle OAB is an isosceles as OA=OB=radius

According to the criteria of isosceles triangle angle OAB =OBA =40°

hence, angle AOB= 180 degrees - (40°+40°) [angle sum of triangle =180°]

                  angle AOB= 100 degrees.

We get, AOB = 100 degrees

to know more about types of triangle visit:

https://brainly.com/question/2773823

#SPJ1

Answer:

because they allow us to abbreviate something that would otherwise be really annoying to writeout.

Step-by-step explanation:

Answer:

y=5x+22

Step-by-step explanation:

y-y1=m(x-x1)

y-(-3)=5(x-(-5))

y+3=5(x+5)

y=5x+25-3

y=5x+22

Answer: B

Step-by-step explanation:

The range of values for F(x) would be on the y - axis, so go up on the y - axis to find the points, and since it is not a line it has no inequality symbols, and how sideways it is doesn't matter, it is only how tall it is that matters because it is on the y - axis.

In a case whereby a ball is thrown downward from the top of a 140​-foot building with an initial velocity of 16 feet per second. the time the ball is thrown will it strike the​ ground at t = 2.5 or -3.5.

Height of building = 140 ft

Initial velocity, u = 16 ft/sec

the equation given is

h = -16t² -16t +140

h(t) = -16t² -16t +140

AT h(t) = 0 , We can divide by -2 and have

(8t² + 8t - 70) = 0

8t² + 8t - 70 = 0

Then if we solve with quadratic equation formula where  a=8, b=8, c=- 70 then the root will be -7/2 and 5/2 then  t = 2.5 or -3.5

Learn more about height  at:

https://brainly.com/question/10460287

#SPJ1

complete question;

A ball is thrown downward from the top of a 140​-foot building with an initial velocity of 16 feet per second. the height of the ball h in feet after t seconds is given by the equation h equals negative 16 t squared minus 16 t plus 140. how long after the ball is thrown will it strike the​ ground?

Answer:

\(Y\approx 84^\circ $(to the nearest angle)\)

Step-by-step explanation:

The lengths of the sides of the scalene triangle are 6, 11, and 12.

We want to use the law of cosines to find the largest angle.

Note that the largest angle is always opposite the largest side.

Therefore:

\(1. 12^2 = 11^2 + 6^2-2(11)(6)\cos(Y) \\\\2. 144 = 121 + 36-(132)\cos(Y) \\\\3. 144 = 157 - (132)\cos(Y) \\\\4. -13 = -(132)\cos(Y)\\\\\\5. \cos(Y) = \dfrac{-13}{-132} \\\\6. Y = \arccos \left ( \dfrac{13}{132}\right)\\\\7. Y=84.35^\circ\\\\8. Y\approx 84^\circ $(to the nearest angle)\)

The largest angle is 84 degrees to the nearest angle.

Answer: Terminating decimal

Step-by-step explanation:

change the fraction 58 into a decimal.

58=0.625 .

Answer:

see below

Step-by-step explanation:

sine typically intercept at (0,0)

cosine starts at an intercept on Y

The graphs of sine and cos trigonometric functions differ by the waves. The graphs are plotted.

What is trigonometric function?

Simply put, trigonometric functions also referred to as circular functions are the functions of a triangle's angle. This means that these trig functions provide the relationship between the angles and sides of a triangle.

A positive cosine trigonometric function graph starts at maximum value, descends to minimum value, and then rises back to maximum value.

When a graph is negative cosine, it starts at the minimum, climbs to the maximum, and then descends back to the minimum.

For a positive sine trigonometric function graph, the graph starts at the midline, rises to the maximum, descends to the midline again until it reaches the minimum, then rises to the midline again to finish.

In the case of a negative sine graph, the graph starts at the midline, descends to the minimum, then ascends to the midline once again until it reaches the maximum, before returning to the midline where it started.

Therefore, graphs of sine and cos differ with respects to wave formed.

To learn more about trigonometric function from the given link

https://brainly.com/question/25618616

#SPJ4

To determine if a line is parallel or perpendicular, we can place each line on a sloped intersection shape (y = mx + b) and observe the slope m of each line. Equal slopes result in parallel lines. If the slope is multiplied by -1, then the line is vertical.

Parallel Lines:

Two or more lines that lie in the same plane and do not intersect are called parallel lines. They are equidistant from each other and have the same slope. A straight line equation is usually written in the form of a slope intercept represented by the equation y = mx + b. where "m" is the slope and "b" is the y-intercept. The "m" value defines the slope and tells how steep the line is.

Perpendicular Lines:

A vertical line or perpendicular line is two separate lines that intersect at an angle of 90° to each other. These are straight lines known as perpendiculars that meet each other at certain angles (right angles).

We have already seen what a vertical line looks like. If a shape has an "L" shape, its vertex angles are right angles. Vertical lines always intersect each other, but not all intersecting lines are always perpendicular to each other.

Two main properties of vertical lines:

1. Perpendicular lines always intersect or intersect each other.

2. The angle between two vertical lines is always 90°.

Learn more about Perpendicular:

https://brainly.com/question/29268451

#SPJ4

The statement is generally true.

In materials science, the close-packing of atoms in crystal structures can affect the mechanical properties of the material, such as its ductility and ability to undergo plastic deformation.

In general, structures with closely packed planes (i.e., structures with a higher atomic packing factor) are more likely to undergo plastic deformation because the closely packed planes allow for more slip planes for atoms to move along without disrupting the overall crystal structure.

This means that when a force is applied to the material, the planes can slide more easily past one another, leading to plastic deformation.

In contrast, structures that are not closely packed (i.e., structures with a lower atomic packing factor) have fewer slip planes and are less likely to undergo plastic deformation. Instead, they may experience brittle fracture or other types of failure when subjected to stress.

However, it is important to note that the relationship between atomic packing and plastic deformation is complex and depends on a variety of factors, including the type of crystal structure, the presence of defects or impurities in the material, and the conditions under which the material is being deformed.

Learn more about plastic deformation

brainly.com/question/30480072

#SPJ11

Sample 1: Mean=10.01, Standard deviation=13.90 Sample 2: Mean

=11.43, Standard deviation

=14.10

Sample size of 1st year = n1

= 1012Mean of 1st year sample

= X1 = 10.01Standard deviation of 1st year sample

= s1

= 13.90Sample size of 2nd year

= n2

= 1012Mean of 2nd year sample

= X2

= 11.43

Standard deviation of 2nd year sample = s2

= 14.10 Let us assume a significance level of α = 0.05, which implies that the critical region consists of 2.5% in both tails (since it is a two-tailed test).

Therefore, we do not have sufficient evidence to conclude that the mean number of hours per week spent on the Internet differs between 2010 and another year.

To know more about deviation, visit:

https://brainly.com/question/23907081

#SPJ11

Answer:

The answer is letter D

Step-by-step explanation:

3 x 0.30 = 0.9

The points on the curve where the tangent line has a slope of 1 are (-16, 84) for smaller x-value and (8/27, 184/27) for larger x-value.

The slope of the tangent to the curve is given by:

dy/dx = (dy/dt) / (dx/dt)

Calculate dx/dt and dy/dt, so that we can find dy/dx.

dx/dt = 6t² and dy/dt = 4 - 10t

dy/dx = (4 - 10t) / (6t²) = (2 - 5t) / (3t²)

Equate the slope to 1. So we have:

(2 - 5t) / (3t²) = 1 => 2 - 5t = 3t² => 3t² + 5t - 2 = 0

Solving this quadratic equation, we get:

t = -2 or t = 1/3

When `t = -2`, the curve is at (x, y) = (-16, 84)

When `t = 1/3`, the curve is at (x, y) = (8/27, 184/27)

Therefore, the points on the curve where the tangent line has a slope of 1 are (-16, 84) and (8/27, 184/27).

Learn more about tangent line https://brainly.com/question/31617205

#SPJ11

Statement b) Increasing the polymer molecular weight gives rise to softer polymers.

This statement is NOT correct. Increasing the polymer molecular weight typically leads to stiffer polymers, not softer. The molecular weight of a polymer affects its physical properties, and higher molecular weight polymers tend to have increased chain entanglement and intermolecular forces, resulting in greater stiffness or rigidity. Conversely, lower molecular weight polymers are often more flexible and softer.

Reason: The stiffness or softness of a polymer is influenced by factors such as chain entanglement, intermolecular interactions, and crystallinity. Higher molecular weight polymers have longer polymer chains, which enhance chain entanglement and increase the polymer's resistance to deformation, resulting in greater stiffness. On the other hand, lower molecular weight polymers have shorter chains, allowing for greater freedom of movement and yielding softer and more flexible materials.

Learn more about polymers here:

https://brainly.com/question/8930717

#SPJ11

Answer:

20x-21y+14

Step-by-step explanation:

1/5(100x-105y+70)

20x-21y+14

Given the following function:

f(x) = 3x - 3

Let's determine the value at f(-3),

This means that we will be replacing all x variables of f(x) by -3.

We get,

f(x) = 3x - 3

f(-3) = 3(-3) - 3

= -9 - 3

f(-3) = -12

Therefore, f(-3) = -12

Given the following function:

f(x) = 3x - 3

Let's determine the value at f(-3),

This means that we will be replacing all x variables of f(x) by -3.

We get,

f(x) = 3x - 3

f(-3) = 3(-3) - 3

= -9 - 3

f(-3) = -12

Therefore, f(-3) = -12

Answer: Formula is 2πr^2

Step-by-step explanation:

plug in and it is 196*π

Answer: A= 196\(\pi\)  

Step-by-step explanation:

The area of a circle formula:

A=\(\pi r^{2}\)                       >r=14   substitute in

A=  \(\pi( 14^{2} )\)                >simplify 14²

A= 196\(\pi\)                   > leave pi  like a variable x to leave in terms of pi, do

                                      not multiply by 3.14

Answer:

The answer is 60

Step-by-step explanation:

2x5x6

rearrange by the commutative property

(2x5)x6

Calculate

10x6

calculate the product or quotient to 60

hence the answer is 60

Hoped this helped:D

Alison has five different hats, six different bracelets, and seven cats. She wants to take a selfie with a hat, a bracelet, and two cats. So she can take 630 different selfies.

         She wants to take selfies with what she has, and the question asks how many different selfies can she take.

    Let's solve the question below:

         The total number of selfies Alison can take is 5 × 6 × ( ₇C₂ )

          As Alison wants to take a selfie with a hat, a bracelet, and two cats, there are 5 hats and 6 bracelets she can select from, and she needs to select 2 cats out of 7 available cats.

          We can use the combination formula to calculate the total number of ways:

            ₇C₂ = \((7 * 6)/2\)

                   = 21

  Hence, Alison can take \(5 * 6 * 21\) = 630 different selfies with a hat, a bracelet, and two cats.

Learn more about hats, bracelets, and selfie probability at: https://brainly.com/question/3900299

#SPJ11

Answer:

Mean travel time = 10.33 minutes

Step-by-step explanation:

The mean of a distribution is a measure of central tendency that shows the centre of a set of data. Mathematically, it is represented as:

Mean = Sum of the terms ÷ Number of terms

Mean = (10 + 13 + 16 + 5 + 4 + 14) ÷ 6

Mean = 62 ÷ 6 = 10.33

∴ Mean travel time = 10.33 minutes

N:B 10.33 minutes = 10 minutes + 0.33 minutes

converting 0.33 minutes to seconds

1 minute = 60 seconds

∴ 0.33 minute = 60 × 0.33 = 19.8 seconds

∴ Mean time = 10 minutes 20 seconds

Answer:

a. See down below

b. 116 degrees

Step-by-step explanation:

a. Since PA and PB are both tangents to the circle, they both form right angles with the radius of the circle. Also, since they originate from a common point, they have equal length when they reach the circle. Finally, they share side PO. Therefore, by SSA congruence, they are congruent triangles.

b. Since PD bisects the circle, it is divided into two 180 degree sections. If AOP=64, then so is POB. Since all of the remaining half of the circle is BOD, you can find its angle measure by subtracting the angle measure of AOP from 180. 180-64=116 degrees. Hope this helps!