The probability: P(A, A) if two cards are randomly selected with replacement is one ninth. Option B
What is probability?You should be aware that probability is the chance of occurance of an event. the probability of an event is written thus
P(E) = Number of required outcome divided by the total number of possible outcomes
The possible outcomes are the spelling the word ADD,
The probabilities are 1/3, 1/3, 1/3 respectively.
So, P(A, A) if two cards are randomly selected with replacement will be
P(A, A) = 1/3 * 1/3
Therefore the probability of the event is 1/9
Learn more about probabilities on https://brainly.com/question/30034780
#SPJ1
Answer: one ninth i took the test
Step-by-step explanation:
Is the relation a function?
Is the relation a one to one function ?
Is the inverse of the relation below itself a function?
The statements that complete the blanks are underlined as follows
Is the relation a function? YesIs the relation a one to one function ? NoIs the inverse of the relation below itself a function? NoIs the relation a function?From the question, we have the following parameters that can be used in our computation:
The graph
The given graph is a quadratic graph
All quadratic graphs are functions
So, the relation is a function
Is the relation a one to one function ?This statement is false,
This is so because one y value points to two different x values, as evident on the graph
Is the inverse of the relation below itself a function?As a general rule, the inverse of a quadratic function is not a function
This means that the inverse of the given relation is not a function
Read more about function and relation at
https://brainly.com/question/19548990
#SPJ1
Which inequality is true for x = 20?
x - 5 < 2x -35
2x < x + 22
x ➗ 4 > x - 12
x + 30 > 3x
2x< x+22 is the inequality equation which satisfy that x=20 the other inequality equation does not satisfy the condition.
Given that,
We have to find which inequality is true for x=20
The inequality equations are
a. x-5 < 2x-35
b. 2x < x+22
c. x/4 > x-12
d. x+30 >3x
We know that,
We have to substitute x=20 in the inequality equation to check which equation is true.
a. 20-5 < 2(20)-35
15 < 40-35
15< 5
NO, the inequality is not true
b. 2(20) < 20+22
40 < 42
Yes, the inequality is true
c. 20/4 > 20-12
5>8
NO, the inequality is not true
d. 20+30 > 3(20)
50 > 60
NO, the inequality is not true
Therefore, 2x< x+22 is the inequality equation which satisfy that x=20 the other inequality equation does not satisfy the condition.
To learn more about inequality visit: https://brainly.com/question/20383699
#SPJ1
Solve the system by graphing
Y=-x-4
Y=3/5x+4
Answer:
x-y=4, 3x-5y=-4
Step-by-step explanation:
step (1)
write the equation in the form ax+by=c
step (2)
put the equations below each other
x-y=4....(1)
3x-5y=-4....(2)
Multiply (1) by (-5) then add (1) and (2)
-5x+5y=-20
3x-5y=-4
-2x=-24 then x=12 from (1) y=8
S.S.={(12,8)}
Please solve this question.
Answer:
Step-by-step explanation:
p=12 q=4 r=10
Look at the example below which shows how the
product property of radicals is used to simplify a
radical.
√-36=√36√-1= 61
Use the product property of radicals to simplify the
following radical.
1-81
DONE
The simplified form of the radical is 9i
What are Complex Numbers?A complex number is the sum of a real number and an imaginary number. A complex number is of the form a + ib and is usually represented by z. Here both a and b are real numbers. The value 'a' is called the real part which is denoted by Re(z), and 'b' is called the imaginary part I'm (z). Also, it is called an imaginary number.
Given here, √-81 and we know √-1 = i
√-81 = √9² × √-1
= 9 ×i
= 9i
Hence 9i is the correct answer.
Learn more about complex numbers here:
https://brainly.com/question/20566728
#SPJ1
Answer: 9i is the correct answer.
Step-by-step explanation:
Solving the given work.
Funsters inc. , the largest toy company in canada, sells its most popular doll for $35. It has just learned that its leading competitor toysorama is mass producing an excellent copy and plans to flood the market with their $10 doll in 6 weeks. What should funsters do?.
Funsters inc. , the largest toy company in canada, sells its most popular doll for $35. It has just learned that its leading competitor toysorama is mass producing an excellent copy and plans to flood the market with their $10 doll in 6 weeks. Funsters should increase the supply of its doll now before the other doll hits the market.
The Benefits of Business Competition1. Addressing Customer Needs
Often business competition motivates brands and businesses to meet customer needs, vying to be more effective than their competitors. This encourages brands to develop an understanding of audience needs.
This competition resulted in a focus on meeting customer needs including higher quality products, increased service value, and increased customer satisfaction.
2. Analyze Strengths and Weaknesses
Business competition can drive an evaluation of strengths and weaknesses, as well as optimizing sales strategies based on these findings. This enables a business to maximize resources, make informed decisions about marketing and sales strategies, and tailor offerings according to their strengths.
3. Increasing Demand
Business competition is an effective way to increase demand for a product or service. As more companies invest in their marketing and advertising efforts, the consumer demand for their products and services may increase as brand awareness increases.
3. Encouraging Innovation
In order to gain an advantage in the market, business competition can drive to innovate strategies and improve their products or services in creative ways. This is an important contribution to continuously improving the quality of goods and services, advancing product and service technology, and adapting to changing consumer needs.
4. Show Excellence
A business often tracks and analyzes competitors' performance to gain insight into their business strategy. By studying competitors' tactics, a business will be able to demonstrate their superiority in the market. So that many businesses can develop strategies that will result in success.
5. Promoting Business
Continuous business development can be an important factor in long-term success. Business competition is often challenging to continue to increase brand awareness, promote, analyze success, and develop new methods to achieve even bigger goals.
Learn more about business competition at https://brainly.com/question/30109639.
#SPJ4
A gasoline storage tank is filled by a pipeline from a refinery. at the same time, gasoline flows from the tank into trucks that will make deliveries to gasoline stations. can someone help answer all parts of the question?
The rate of change of the amount of gasoline in a storage tank at t=3 hours is -0.75 thousand gallons per hour, and the amount of gasoline in the storage tank is increasing at an increasing rate between t=5 and t=10.
(a) To estimate the rate of change of the amount of gasoline in the storage tank at time t=3 hours, we can use the formula for the average rate of change over an interval: (G(b) - G(a)) / (b - a).
We can choose two points on the table that are closest to t=3 hours, such as t=2 and t=4. Using these points, we have:
G(2) = 22
G(4) = 20.5
Substituting these values into the formula, we get:
(G(4) - G(2)) / (4 - 2) = (20.5 - 22) / (4 - 2) = -1.5 / 2 = -0.75
The units of measure for this rate of change would be thousands of gallons per hour.
(b) Since G′′(t)>0 for 5≤t<10, this means that the second derivative of G(t) is positive for all values of t within this interval. The second derivative represents the rate of change of the rate of change, or the acceleration. A positive second derivative indicates that the rate of change is increasing, or that the function is accelerating. This means that the amount of gasoline in the storage tank is increasing at an increasing rate between t=5 and t=10.
We can also conclude that G′(t)>0 for 5≤t<10 since the second derivative represents the rate of change of the first derivative, which is positive. This means that the first derivative, or the rate of change of the function, is also positive for this interval. This confirms that the amount of gasoline in the storage tank is increasing between t=5 and t=10.
Complete Question:
'A gasoline storage tank is filled by a pipeline from a refinery. At the same time, gasoline flows from the tank into trucks that will make deliveries to gasoline stations. The amount of gasoline in the storage tank at time t is given by the twice-differentiable function G, where t is measured in hours and 0≤t≤10. Values of G(t), in thousands of gallons, at selected times t are given in the table above. It is known that G′′(t)>0 for 5≤t<10.
(a) Use the data in the table to estimate the rate of change of the amount of gasoline in the storage tank at time t=3 hours. Show the computations that lead to your answer. Indicate units of measure.
(b) For 0 t (hours) 0 5 8 10 G (0 (thousands of gallons 22 18.5 19.5 22 24'
To learn more about the derivative, visit:
brainly.com/question/25324584
#SPJ4
In Quadrilateral ABCD, AB¯¯¯¯¯∥CD¯¯¯¯¯ and m∠2=35°. What is m∠5? Enter your answer in the box. ° Trapezoid A B C D with segment B D. Angle A D B is angle 1. Angle B D C is angle 2. Angle C is angle 3. Angle A is angle 4. Angle A B D is angle 5. Angle C B D is angle 6.
The measure of ∠5 is 35degree
What is linear pair of angles?Linear pair of angles are produced when two lines intersect each other at a point. The sum of angles of the linear pair is always 180 degrees.
Given:
In Quadrilateral ABCD, AB||CD
<M2=35
If a transversal line intersects two parallel lines then the alternate interior angles are congruent.
In the given figure In Quadrilateral ABCD, AB||CD<M2=35 .
So,
<5≅<2 (Alternate interior angles)
M<5=M<2
M<5=35degree
Therefore, the angle measure of M<5 will be 35degree
Learn more about angles here;
brainly.com/question/2911483
#SPJ1
Please help me with the middle one. This is a mix of math and science.
the volume of rectangular shape is 8 cm³ and density is 4 gm/cm³
What is cube?
The term "cube" refers to a solid three-dimensional shape in mathematics or geometry that has six square faces, eight vertices, and twelve edges. It is also asserted to be a conventional hexahedron. You must be familiar with the three-by-three Rubik's cube, which is the most prevalent example in daily life and can help to increase brain capacity. Similar to this, you'll run into a lot of real-world examples, like 6-sided dice, etc. Solid geometry is the study of three-dimensional objects with surface areas and volumes. Cube, cylinder, cone, and sphere are some of the other solid shapes. Here, we'll talk about its definition, attributes, and relevance to mathematics.
Given sides of the rectangular cube are 1 cm, 2c.m, and 4c.m
The volume will be the product of all three sides = 1*2*4 = 8 cube cm
The density will be mass/volume.
= 32gm/8 = 4 gm/cm³
Hence volume of the rectangular shape is 8 cm³ and density is 4 gm/cm³
Learn more about cube, by the following link
https://brainly.com/question/1972490
#SPJ1
(MÚLTIPLE CHOICE)
Determine the solution to the equation below
-3.1x + 7 - 7.4x = 1.5x - 6(x - 1.5)
a) X= -0.3
b) X=0.3
c) X= -3
d) X=3
Which expression has a value of -18?
A.(6^2+2)-18√81
B.6^2(2-8)√81
C.(6^2+2-8)√81
D.6^2 +2 (8√81)
Answer:
None
Step-by-step explanation:
Evaluate each answer option, following the order of operations (PEMDAS).
[tex]\begin{aligned}\textsf{A.} \quad (6^2+2)-18\sqrt{81}&=(36+2)-18\sqrt{81}\\&=(36+2)-18(9)\\&=38-18(9)\\&=38-162\\&=-124\end{aligned}[/tex]
[tex]\begin{aligned}\textsf{B.} \quad 6^2(2-8)\sqrt{81}&=36(2-8)\sqrt{81}\\&=36(2-8)(9)\\&=36(-6)(9)\\&=(-216)(9)\\&=-1944\end{aligned}[/tex]
[tex]\begin{aligned}\textsf{C.} \quad (6^2+2-8)\sqrt{81}&=(36+2-8)\sqrt{81}\\&=(36+2-8)(9)\\&=(38-8)(9)\\&=(30)(9)\\&=270\end{aligned}[/tex]
[tex]\begin{aligned}\textsf{D.} \quad 6^2 +2(8\sqrt{81})&=36+2(8\sqrt{81})\\&=36+2(8\cdot 9)\\&=36+2(72)\\&=36+144\\&=180\end{aligned}[/tex]
Therefore, none of the answers has a value of -18.
A - tall building casts a shadow. The distance from the top of the building to the tip of the shadow is. Find the length of the shadow. If necessary, round your answer to the nearest tenth.
Answer:
The shadow cast by the building is of the length 11.8 m.
Step-by-step explanation:
We consider the height of the building as the height of the triangle and the length of the shadow as the base of the triangle, then the distance from the top of the building to the tip of the shadow would be the hypotenuse of the triangle.
Using the Pythagorean theorem:
c^2 = a^2 + b^2
Where c is the hypotenuse, which is 36m, a is the height of the building, which is 34m and b is the base of the triangle, which is the length of the shadow.
So by plugging the given numbers in:
b^2 = c^2 - a^2
b^2 = 36^2 - 34^2
b = √(36^2 - 34^2)
b ≈ 11.8m (if rounded to the nearest tenth)
So the length of the shadow in this scenario is approximately 11.8 m.
Read more about Pythagorean theorem:
https://brainly.com/question/14930619
#SPJ4
Nova wants to measure the height of a tree. She asks her brother Caden to stand so that the
tip of his shadow coincides with the tip of the tree’s shadow. She stands at the tip of Caden’s
shadow. Caden, who is 1.2 meters tall, is 4.2 meters from Nova and 6.5 meters from the tree.
The tree is ___ meters high. Round your answer to the nearest tenth and write it as a decimal.
Using ratio, the length of the tree is 1.9m
What is RatioRatio is a comparison of two or more related quantities, expressed as a fraction or a proportion. Ratios are used to compare values and to look for relationships between them. For example, if you have five friends and two of them are girls, the ratio of girls to boys is 2:3 (2 out of 5).
We can set up two ratio as a proportion to find the length of the tree.
1.2 / x = 4.2 / 6.5
Cross multiply both sides and solve for x
x = (1.2 * 6.5) / 4.2
x = 1.85m ≅ 1.9m
The height of the tree is 1.9m
Learn more on ratio here;
https://brainly.com/question/2328454
#SPJ1
If 40% of the population owns a bike, 10% of the population owns a skateboard, and 5% of the population owns both, what percent of the population owns either a skateboard or a bike or both
Answer:
45%
Step-by-step explanation:
5% owns both so you remove that 5% from both the 40% and 10% because it's already in the "both" category. For example if Sara has both, then it also means that Sara is among the 5% that has both but also in the 40% that owns a bike and the 10% that owns a skateboard. You need to remove Sara from those two categories (skateboard and bike) because she's already in the "both" category.
So when you remove it, it's not 40 and 10 percent but 35 and 5 percent.
The answer is 35+5+5 = 45%
Find a formula for RN for the function f(x) = (8x)2 on [−1, 5] in terms of N.
RN =
The formula for [tex]R_{N}[/tex] for the function f(x) is [tex]& R_N=\sum_{j=1}^N f\left(x_j\right) \Delta x[/tex] and the value of [tex]R_{N}[/tex] = 2688.
As per the given data, the given function f(x) is:
f(x) = [tex](8 x)^2[/tex] on [-1, 5]
Here we have to determine the formula for [tex]R_{N}[/tex]
Let us consider the interval [a, b]
Then the value of a is -1 and the value of b is 5.
[tex]& \Delta x=\frac{b-a}{N}=\frac{5+1}{N}=\frac{6}{N} \\[/tex]
[tex]& x_j=a+\Delta x_j=-1+\frac{6 i}{N} \\[/tex]
Area Using Riemann Sum:
The Riemann sum of a function f(x) over a given interval [a, b] is given by:
[tex]$$S_n=\sum_{k=1}^n f\left(c_k\right) \Delta x$$[/tex]
When the points are chosen randomly, then the sum is called a Riemann sum and will give an approximation for the area of R that is in between the lower and upper sums.
Split the area into vertical slices then use the Riemann sum formula.
[tex]& R_N=\sum_{j=1}^N f\left(x_j\right) \Delta x[/tex]
[tex]=\sum_{j=1}^N f\left(-1+\frac{6 j}{N}\right) \frac{6}{N} \\[/tex]
[tex]& =\sum_{j=1}^N 64\left(-1+\frac{6 j}{N}\right)^2 \frac{6}{N} \\[/tex]
[tex]& R_N=\sum_{j=1}^N 64\left(1+\frac{6 j}{N}\right)^2 \frac{6}{N} \\[/tex]
[tex]& =\sum_{j=1}^N 64\left(1+\frac{36 j^2}{N^2}-\frac{12 J}{N}\right) \frac{6}{N} \\[/tex]
[tex]& =384 \sum_{j=1}^N\left(1+\frac{36 j^2}{N^2}-\frac{12 j}{N}\right) \frac{1}{N} \\[/tex]
[tex]& =384\left(N+\frac{36}{N^2}\left(\frac{N(N+1)(2 N+1)}{6}\right)-\frac{12}{N}\left(\frac{N(N+1)}{2}\right)\right) \frac{1}{N} \\[/tex]
[tex]& =384\left(1+6\left(\frac{N(N+1)(2 N+1)}{N^3}\right)-6\left(\frac{N(N+1)}{N^2}\right)\right) \\[/tex]
[tex]& \lim _{V \rightarrow \infty} R_N=384 \lim _{N \rightarrow \infty}\left(-1+6\left(\frac{N(N+1)(2 N+1)}{N^3}\right)-6\left(\frac{N(N+1)}{N^2}\right)\right) \\[/tex]
= 384 (1 + 6(2) - 6)
= 384 (7)
= 2688
For more questions on Riemann Sum
https://brainly.com/question/30078790
#SPJ4
S varies directly as T. if S is 20 when T is four, then T is blank when S is 30
If possible, combine like terms to simplify the following expression.
Otherwise, choose "Simplified."
5r + 1 + 3j
Answer: Simplified
Step-by-step explanation: The question is already as simplified as it can get.
find the vertices,foci,eccentricity,and asymptotes of each hyperbola,and sketch the graph a. 9x²- 16y² =144
Answer:
Foci: (±5, 0)
Vertex: ( ±4 , 0)
Eccentricity: e = 5/4
Step-by-step explanation:
Hyperbola:Write the equation of hyperbola in the form,
[tex]\boxed{\dfrac{x^2}{a^2}-\dfrac{y^2}{b^2}=1}[/tex]
9x² - 16y² = 144
Divide the entire equation by 144,
[tex]\sf \dfrac{9x^2}{144}-\dfrac{16y^2}{144}=\dfrac{144}{144}\\\\\\ \dfrac{x^2}{16}-\dfrac{y^2}{9}=1\\\\\\\dfrac{x^2}{4^2}-\dfrac{y^2}{3^2}=1[/tex]
a = 4 and b =3
Eccentricity: e
[tex]\boxed{e=\sqrt{1+\dfrac{b^2}{a^2}}}[/tex]
[tex]\sf = \sqrt{1+\dfrac{9}{16}}\\\\=\sqrt{\dfrac{16}{16}+\dfrac{9}{16}}\\\\=\sqrt{\dfrac{25}{16}}=\sqrt{\dfrac{5*5}{4*4}}\\\\\\=\dfrac{5}{4}[/tex]
Foci:
(ae, 0) & (-ae , 0)
[tex]\sf \left(4*\dfrac{5}{4},0 \right) \ ; \ \left( -4*\dfrac{5}{4},0 \right)\\\\\\(5, 0) \ ; \ (-5,0)[/tex]
Vertex of hyperbola:
The vertex of the hyperbola is a point where the hyperbola cuts the axis. (-a , 0) ; (a , 0)
Vertex : (-4 , 0) ; (4 , 0)
The solution for this question is as follows:
Vertices ≈ (±4 , 0)
Foci ≈ (±5 , 0)
Eccentricity: e = 5/4
Asymptotes: y= ±(3/4)x
Hyperbola:
The location of all the points on a plane where the distance between them and two fixed points in the plane is always equal to zero is called a hyperbola.
Step by step solution:
Given: [tex]9x^{2} -16y^{2} =144[/tex]
The given equation of hyperbola can be written as:
⇒[tex]\frac{x^{2} }{16} -\frac{y^{2} }{9} =1[/tex]
On comparing with standard equation of hyperbola; [tex]\frac{x^{2} }{a} -\frac{y^{2} }{b} =1[/tex]
We get; a=4 and b=3
The eccentricity of hyperbola is given by:
9=16(e^2 - 1)
So; e^2 = (9/16) + 1
e^2 = 25/16
e = 5/4
The vertices of hyperbola are given by (±a , 0) ≈ (±4 , 0)
The foci of hyperbola are given by (±ae , 0) ≈ (±5 , 0)
The asymptotes of hyperbola are given by y= ± (b/a)x
y= ±(3/4)x
To learn more about "Hyperbola" here:
brainly.com/question/19989302
You work at a bakery. One of your duties is to price different size pieces of cake. You decide to price slice A at $0.80. Figure out the prices of the other slices based on Slice A
Answer:
Step-by-step explanation:
How do you find a line segment in Algebra 1?
A line segment has two specific endpoints in a line. The length of the line segment is set, that is the distance between two fixed points.
The length here can be measured by metric units such as centimeters (cm), and millimeters (mm), or by conventional units like feet or inches.
A closed line segment contains both endpoints, but an open line segment is exclusive of the two endpoints. A line segment that has just one endpoint is called a half-open line segment.
A line segment has two endpoints. Now if we know the coordinates of the endpoints, then we calculate the length of the line segment by distance formula.
[tex]D = \sqrt{(x_{2} - x_{1})^{2} + (y_{2} -y_{1})^{2} }[/tex]
Let a line segment has coordinates (2, –3) and (–1, –2). What is the length of a line segment?
Therefore, by distance formula,
[tex]D = \sqrt{(2 - (-1))^{2} + (-3 -(-2)^{2} }[/tex]
[tex]D = \sqrt{(2 + 1))^{2} + (-3 +2)^{2} }[/tex]
[tex]D = \sqrt{(3)^{2} + (-1)^{2} }[/tex]
[tex]D = \sqrt{10}[/tex] = 3.16
Read more about line segment:
https://brainly.com/question/15730595
#SPJ4
15. Apply Math Models When reading the directions
on the bag of pet food, Anton realizes there is a linear
relationship between the weight of the pet and the
amount of food the pet should be fed.
a. What is the slope of the line that represents the
relationship?
b. What is the y-intercept of the line that represents
the relationship?
c. What do the slope and the y-intercept represent?
1/8 is the slope of the line that represents the relationship and 1/4 the slope and the y-intercept represent
What is slope intercept form of line?The slope intercept form of a line is y=mx+b, where m is slope and b is the y intercept.
Given, Anton realizes there is a linear relationship between the weight of the pet and the amount of food the pet should be fed.
The slope the slope of the line that represents the relationship is 1/8 cups.
the y-intercept of the line that represents the relationship is 1/4.
The slope is the value that will be multiplied by the weight of the cat so as to know the amount of food that will be given to the cat.
The y intercept represent the fixed food that should be given to the cat after it has been using.
Hence, 1/8 is the slope of the line that represents the relationship and 1/4 the slope and the y-intercept represent
To learn more on slope intercept form click:
https://brainly.com/question/9682526
#SPJ1
What is a credit card trap?
The payments each month cover interest and the remaining principal.
The payments each month do not cover all interest and no principal.
The credit card issuer charges such a low interest rate, that it is impossible to
pay off the card balance.
The payments each month cover interest and some principal.
The payments each month do not cover all interest and no principal. The correct answer would be an option (B).
A credit card trap occurs when the minimum payments required each month do not cover all the interest charges and do not reduce the principal balance. This means that even if the cardholder makes the minimum payments on time, they will still be paying only the interest charges and not reducing the amount of debt. This can result in a cycle of high-interest debt that is difficult to escape from.
Option A is incorrect as it's describing a common way payments work on credit cards.
Option C is not a trap, as it's describing a credit card issuer with a low-interest rate.
Option D is also incorrect, as it's describing a common way payments work on credit cards.
Hence, the correct answer would be an option (B).
Learn more about the credit card here:
https://brainly.com/question/16333868
#SPJ1
Complete the table for y=1/2x+4 and graph the resulting line
The graph of the resulting line of y = 1/2 x + 4 will be a line passing through P(0, 4), Q (-8, 0) and R (2, 5).
What is Graph?A graph is a pictorial representation of a figure formed by connecting set of points.
We have to find the points through which the line y = 1/2 x + 4 passes through to draw the graph of the line.
Let x = 0 ⇒ y = 4
A point P is found as P (0, 4), which is the y intercept where the line touches with the Y axis.
Let y = 0, then 1/2 x = -4 or x = -8
A point Q is found as Q (-8, 0) which is the x intercept where the line touches with the X axis.
Let x = 2, then y = 5
A point R is found as R (2, 5).
So graph of y = 1/2 x + 4 will be a line passing through P(0, 4), Q (-8, 0) and R (2, 5).
Learn more about Graph here :
https://brainly.com/question/17267403
#SPJ1
In geography, latitude gives the north-south position of a point on Earth's surface. latitude is an angle, ranging from 0 degrees at the equator to 90 degrees N at the North Pole and 90 degrees S at the South Pole. The overland distance between points on Earth's surface is an arc, with the central angle measured from Earth's center. The formula of the length, L, of an arc with central angle x degrees on a circle with radius r is : L= 2\Pie times x/360 Suppose that two cities have the same longitude, which gives the east-west position of a point on Earth's surface. One has latitude 19 degrees N, and the other has a latitude 26 degrees S. Assume Earth is a sphere with a radius of 6,380 km. Find the distance between the two cities to the nearest kilometer.
The distance between the two cities located at latitude 19 degrees N, and the other has a latitude 26 degrees S is 5011 km
How to find the distance between the two citiesThe distance between the two cities is calculated using the formula
= x/360 * 2 * pi * r
where
r = radius
x = the angle subtended by the distance
From the question we have that
x = 19 degrees N + 26 degrees S
x = 45 degrees
radius of the earth = 6380 km
distance between the points = x/360 * 2 * pi * r
distance between the points = 45/360 * 2 * pi * 6380
distance between the points = 0.125 * 12760 * pi
distance between the points = 5010.84 km
distance between the points = 5011 km
Learn more about distance between latitudes at:
https://brainly.com/question/20689866
#SPJ1
Y=-8x
2x+4y=0
Algebra substitution
The solution to the system of equations is x = 0, y = 0.
What is substitution algebraic expression?
Substitution means replacing the variables in an algebraic expression with their numerical values. We can then work out the total value of the expression.
To use algebraic substitution to solve for x and y, we can substitute one equation into the other and solve for one of the variables.
Given that y = -8x, we can substitute this into the second equation, 2x + 4y = 0
So, 2x + 4(-8x) = 0
Simplifying this we get,
2x - 32x = 0
30x = 0
Dividing both sides by 30
x = 0
Now we have x = 0, we can substitute this value back into the equation y = -8x
So y = -8(0)
y = 0
Hence, the solution to the system of equations is x = 0, y = 0.
To learn more about the substitution algebraic expression visit,
https://brainly.com/question/29896044
#SPJ1
Answering the Question
Chet is planning his vacation. The flight he selected was $229.99 but
he got 20% off because he booked it online through a new travel
website. What did he pay?
1. Explain why Katie's answer is
incorrect. Then, determine the
correct answer.
The amount to be paid by Chet if The flight he selected was $229.99, but he got 20% off because he booked it online through a new travel website, is $184.
What is percentage?A percentage, often known as percent, is a division by 100. Percentage, which means "per 100," designates a portion of a total sum. 45 out of 100 is represented by 45%, for instance.
Given:
The flight he selected was $229.99 but he got 20% off because he booked it online through a new travel website,
Calculate the amount of discount as shown below,
Discount = 20% of 229.99
Discount = 20 / 100 × 229.99
Discount = 0.2 × 229.99
Discount = 45.998
Thus, the amount to be paid = 229.99 - discount
the amount to be paid = 229.99 - 45.99
the amount to be paid = 184
Thus, the amount to be paid is $184.
To know more about percentages:
brainly.com/question/20818421
#SPJ1
Please Helllppppp
When we multiply or divide integers, we must use the following rule
Two positives (+and+) or two negatives (-and-) make a __________.
Answer:
Step-by-step explanation:
positive
What is the formula for area and perimeter of a hexagon my tutorial world?
The formula for Area of Hexagon is written as : [tex]\frac{3\sqrt{3} a^{2} }{2}[/tex]
The formula for Perimeter of Hexagon is written as : [tex]6a[/tex] .
A Regular Hexagon is defined as a two dimensional shape which has 6 sides, 6 angles and 9 diagonals, and sum of its interior angles is 720°.
When one side length of the regular hexagon is given as "a" units ,
A regular hexagon comprises of six equilateral triangles, formula for finding area of a hexagon is derived from formula of area of equilateral triangle .
So, the Area can be calculated by the formula : [tex]\frac{3\sqrt{3} a^{2} }{2}[/tex] square units ;
and Perimeter of hexagon be calculated by the formula : [tex]6a[/tex] units .
The given question is incomplete , the complete question is
What is the formula for area and perimeter of a hexagon ?
Learn more about Hexagon here
https://brainly.com/question/3365788
#SPJ4
expland and simplify (5x+2)(2x-3)
Answer:
10x^2 - 11x -6
Step-by-step explanation:
1/ First, distribute the brackets:
( multiply 5x to the other bracket, then 2 multiply it also to the other bracket)
After the distribution you'll get this:
10x^2 - 15x + 4x - 6
2/ finally, to simplify you'll have to combine the like terms:
( as you can see the only like terms we have are -15x and +4x)
combine them and you'll get:
10x^2 - 11x -6 ( this is the final answer)
Plis helpppp I will give you 10 point’s