Point a has an x coordinate of −2 and lies in a circle with a center at (0, 0) and a radius of 5. to the nearest tenth, what is the y-coordinate for point a? 4.5 4.6 4.7 4.8

Answer:

350 miles.

Step-by-step explanation:

If you take 4900 and divide it by 14 you get 350. Hope this helps!

Answer:

Step-by-step explanation:

The first thing to notice about this problem is that you have a mixture of Metric and English units.  The first thing that I would recommend is to convert 410 miles into Kilometers

1 mile = 1.61 km

410 miles = (410*1.61) = 660 km (rounded to the nearest km)

Now you need to know the time.  The formula for travel is d=rt.  You know the distance, and you know the rate, solve the formula for time.

t=d/r.

t=660km/120km/k

t=5.5 hours.  Plus add the 2 15 minutes breaks.  2*15=30 minutes.  60 minutes in an hour means that you add 30/60 hours to the trip, or another .5 hours.

Therefore the answer is 5.5+.5 hours.

The answer is: time=6 hours.

Answer:

Corresponding angles

Step-by-step explanation:

These angles are corresponding to each other

~ See attachment

Both angles are <2 across the transversals, therefore they are equal & corresponding.

Answer:

Hello,

Step-by-step explanation:

1. We must decompose the conic into 2 lines.

\(f(x,y)=x^2-5xy+y^2+5x-2y+1=0\\\\We\ are\ going\ to\ find\ the\ center\\\\\left\{\begin{array}{ccc}\dfrac{ \partial{f} }{\partial{x} }&=&12x-5y+5=0\\\\\dfrac{ \partial{f} }{\partial{y} }&=&-5x+2y-2=0\\\end {array} \right.\\\\\\\left\{\begin{array}{ccc}x=0\\y=1\\\end {array} \right.\\\\We\ must\ find\ an\ other\ point\ of\ f(x,y).\\\\if\ y=0\ then\ x=\dfrac{-1}{2} \ or\ x=\dfrac{-1}{3}\)

The 2 lines are: 2x-y+1=0 and 3x-y+1=0

Paralleles are y=2x and y=3x

Perpendiculars are x+2y=0 and x+3x=0

Answer:

L=7 units and B=3 units

Step-by-step explanation:

L=B+4 ... Equation 1

P = 20

P=2(B+L)... Equation 2

20=2(B+B+4)... Substituting equation 1 to equation 2

20=2(2B+4)

20=4B+8

20-8=4B

12=4B

12/4=4B/4

B=3... Solve for B

L=B+4

L=3+4

L=7... Solve for L

Answer:

The answer is Option C = 400 x 0.03 x 1

Answer:

Its C

Step-by-step explanation:

Answer:

Im [retty sure the Square root of 50 is 7!

Step-by-step explanation:

1. Three examples of situations where consistency is important:

Healthcare: when treating patients, healthcare providers must follow consistent procedures and protocols to ensure that every patient receives the same level of care.

Financial transaction: when making financial transactions, it is important to follow regular security rules to prevent fraud.

Support rules: Adherence to consistent rules and regulations in sports is essential to ensure fair play and the safety of all participants.

2. The number 0 is important in mathematical systems because it represents the absence of a number and serves as a placeholder. Without zero, our mathematical system would be affected in many ways. For example, writing the number 100 would be difficult without the zero. Without the invention of zero, progress in mathematics would have been delayed.

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Remember that

The compound interest formula is equal to

where

A is the Final Investment Value

P is the Principal amount of money to be invested

r is the rate of interest  in decimal

t is the Number of Time Periods

n is the number of times interest is compounded per year

in this problem we have

Part 1

P=$40,000

r=3.5%=3.5/100=0.035

n=52 (in one year there are 52 weeks)

t=6 years

substitute

Part 2

we have

P=$40,000

r=3.2%=3.2/100=0.032

n=365 (in one year there are 365 days)

t= 6 years

substitute

therefore

The answer is

Answers:

=================================================

Explanation:

For any prism, the base faces are parallel to one another, and they are congruent. In this case, the two triangles are the base faces.

The lateral sides are the three rectangles that form the "walls" so to speak. We can think of the base faces as the floor and ceiling.

The right-most wall is a 4 by 6 rectangle that has area 4*6 = 24 square km

The front-most wall is 8 by 4 leading to 8*4 = 32 square km area.

The back wall is a rectangle that is 10 by 4 to get an area of 10*4 = 40 square km.

The total lateral area is 24+32+40 = 96 square km

A shortcut is to compute the perimeter of the base to get 8+6+10 = 24 km, which multiplies with the height 4 to get 24*4 = 96 square km.

------------------------------

Now let's compute the area of one triangle

Each triangle has a base of 8 and a height of 6. So the area is

area = 0.5*base*height = 0.5*8*6 = 24 square km

There are two of these identical triangles, so we have a total base area of 24*2 = 48 square km

Add this onto the lateral area and we get the total surface area to be 48+96 = 144 square km

A congruent polygon refers to two or more polygons that have the same shape and size. There must be an equal number of sides between two polygons for them to be congruent.

Congruent polygons have parallel sides of equal length and parallel angles of similar magnitude. When two polygons are congruent, they can be superimposed on one another using translations, rotations, and reflections without affecting their appearance or dimensions. Concluding about the matching sides, shapes, angles, and other geometric properties of congruent polygons allows us to draw conclusions about them.

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Answer:

20

Step-by-step explanation: 20 divided by 3 is 6, so if you divided that 120 by 6 you get 20.

Answer:

Measure of angle B is 70 degrees

Step-by-step explanation:

If they are both supplementary, it means that add up to be 180 degrees

Thus;

5x + 25 + 3x + 19 = 180

8x + 44 = 180

8x = 136

x = 136/8

x = 17

Measure of angle B will be;

3(17) + 19

= 51 + 19 = 70 degrees

To sketch the two-point Euler-Bernoulli beam element and indicate the degrees of freedom (DOFs) and nodal forces, we consider the stiffness matrix as follows:

[K11  K12  K13  K14]

[K21  K22  K23  K24]

[K31  K32  K33  K34]

[K41  K42  K43  K44]

The stiffness matrix represents the relationships between the displacements and the applied forces at each node. In this case, the beam element has four DOFs numbered 1 to 4, which correspond to displacements and rotations at the two nodes.

To illustrate the element and the DOFs, we can represent the beam element as a straight line along the x-axis, with two nodes at the ends. The first node is labeled as 1 and the second node as 2.

At each node, we have the following DOFs:

Node 1:

- DOF 1: Displacement along the x-axis (horizontal displacement)

- DOF 2: Rotation about the z-axis (vertical plane rotation)

Node 2:

- DOF 3: Displacement along the x-axis (horizontal displacement)

- DOF 4: Rotation about the z-axis (vertical plane rotation)

Next, let's indicate the nodal forces corresponding to the DOFs:

Node 1:

- Nodal Force 1: Force acting along the x-axis at Node 1

- Nodal Force 2: Moment (torque) acting about the z-axis at Node 1

Node 2:

- Nodal Force 3: Force acting along the x-axis at Node 2

- Nodal Force 4: Moment (torque) acting about the z-axis at Node 2

Please note that the specific values of the stiffness matrix elements and the nodal forces depend on the specific problem and the boundary conditions.

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When you divide a fraction by a negative number, it doesn't matter what happens to the denominator because the entire result, or quotient, is the reverse of whatever the original fraction was.

In mathematics, a denominator is the lowest number in a fraction that indicates how many equal parts are divided into a whole.

It is a fraction's divisor. In this case, the denominator is 4, thus there are four components overall.

The top number in a fraction is referred to as the numerator, while the bottom number is referred to as the denominator.

4/5, for instance, is a fraction.

What happens to the denominator of a fraction when you divide it by a negative number is unimportant because the entire result, or quotient, is the opposite of whatever the original fraction was.

Therefore, when you divide a fraction by a negative number, it doesn't matter what happens to the denominator because the entire result, or quotient, is the reverse of whatever the original fraction was.

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The area of figure is 272.52 square units.

The given figure consist:

A parallelogram of,

length = 12

width   = 18

Since we know that,

Area of parallelogram  = length x width

                                      = 12 x 18

                                      = 216 square units

And it consist of a semicircle of,

radius = 12/2

          = 6

Since we know that,

Area of semicircle is = πr²/2

                                  = 3.14 x 6 x 6/2

                                  = 56.52 square units

Thus,

The area of figure is sum of both areas,

⇒ 216 + 56.52

Hence, area is

⇒ 272.52 square units

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Answer:

mean:15

median:14

mode:13

range: 8

Answer:

48

Step-by-step explanation:

9,18

6,12,18,24,30

18 + 30 = 48

Given:

The system of equations is

\(8x+9y=36\)

\(3x+4y=16\)

To find:

The solution of the given system of equations using the substituting method.

Solution:

We have,

\(8x+9y=36\)           ...(i)

\(3x+4y=16\)            ...(ii)

From (ii), we get

\(3x=16-4y\)

\(x=\dfrac{16-4y}{3}\)          ...(iii)

Putting this value in (i), we get

\(8\left(\dfrac{16-4y}{3}\right)+9y=36\)

Multiply both sides by 3.

\(8(16-4y)+27y=108\)

\(128-32y+27y=108\)

\(-5y=108-128\)

\(y=\dfrac{-20}{-5}\)

\(y=4\)

Putting y=4 in (iii), we get

\(x=\dfrac{16-4(4)}{3}\)

\(x=\dfrac{16-16}{3}\)

\(x=\dfrac{0}{3}\)

\(x=0\)

Therefore, the solution of given system of equations is (0,0).

Answer:-2.4+3.2t

Step-by-step explanation:

-3.6+1.2-1.9t+5.1t

= -2.4+3.2t

Answer:

X=(10/3)*(-5/2)

X=-8.33

Answer:

-25/3

Step-by-step explanation:

khan said so

The average rate of change of the height of water in the vase with respect to the volume of water is 1.62.

To determine the rate of change, we can begin by first expressing the rate of change in height which is:

4.335 - 1.5 = 2.835

Rate of change in volume

4.25 cups - 2.5 = 1.75

So, the rate of change of the height with respect to volume

= 2.835/1.75

= 1.62

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Thank you ☺️☺️

Answer:

r=0

Step-by-step explanation:

1) Place point (2, 3) on graph.

2) Use the slope of -1 to go left -1 and go down -1

3) Until you get to x value of -1

The researcher should consider the following steps when creating the two groups: Random assignment, Pairing students with similar abilities, Controlling for potential confounding variables,

Collecting data and analyzing results.
Random assignment:

To minimize any potential bias, the researcher should randomly assign one student from each pair to receive extra homework problems while the other does not.
Pairing students with similar abilities:

In order to make a valid comparison, the researcher should pair students with similar algebra skills or previous performance in the subject.

This way, any observed differences in the test results are more likely to be due to the extra homework rather than differences in ability.
Controlling for potential confounding variables:

The researcher should control for any other factors that could influence students' algebra test results, such as attendance, study habits, and teacher quality.

After the two-week period, the researcher should collect the test scores of both groups and compare their performance.

This can be done using statistical methods, such as a paired t-test, to determine if there is a significant difference between the groups.

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Answer:

Step-by-step explanation:

The length of the straw in a rectangular box of dimensions 9 by 6 by 8 inches is the diagonal of the box, which can be found using the Pythagorean theorem. The length of the diagonal is sqrt(181) inches or about 13.4536 inches.

Answer:The answer is y = 2x3 + 4x2 – x + 5 and  y = –3x2 + 4x + 9

Roots are both: x=-4, x= -1/2 , x= 1

Proof:

Solve for x over the real numbers:

2 x^3 + 4 x^2 - x + 5 = -3 x^2 + 4 x + 9

Subtract -3 x^2 + 4 x + 9 from both sides:

2 x^3 + 7 x^2 - 5 x - 4 = 0

The left hand side factors into a product with three terms:

(x - 1) (x + 4) (2 x + 1) = 0

Split into three equations:

x - 1 = 0 or x + 4 = 0 or 2 x + 1 = 0

Add 1 to both sides:

x = 1 or x + 4 = 0 or 2 x + 1 = 0

Subtract 4 from both sides:

x = 1 or x = -4 or 2 x + 1 = 0

Subtract 1 from both sides:

x = 1 or x = -4 or 2 x = -1

Divide both sides by 2:

Answer:  x = 1 or x = -4 or x = -1/2

Step-by-step explanation:

The answer is y = 2x3 + 4x2 – x + 5 and  y = –3x2 + 4x + 9

Roots are both: x=-4, x= -1/2 , x= 1

Explanation:

Solve for x over the real numbers:

2 x^3 + 4 x^2 - x + 5 = -3 x^2 + 4 x + 9

Subtract -3 x^2 + 4 x + 9 from both sides:

2 x^3 + 7 x^2 - 5 x - 4 = 0

The left hand side factors into a product with three terms:

(x - 1) (x + 4) (2 x + 1) = 0

Split into three equations:

x - 1 = 0 or x + 4 = 0 or 2 x + 1 = 0

Add 1 to both sides:

x = 1 or x + 4 = 0 or 2 x + 1 = 0

Subtract 4 from both sides:

x = 1 or x = -4 or 2 x + 1 = 0

Subtract 1 from both sides:

x = 1 or x = -4 or 2 x = -1

Divide both sides by 2:

Answer:  x = 1 or x = -4 or x = -1/2