Answers
Answer:
5 units
Explanation:
Given the points:
[tex]\begin{gathered} \mleft(x_1,y_1\mright)=K(-2,-1) \\ \mleft(x_2,y_2\mright)=N(2,2) \end{gathered}[/tex]We use the distance formula below:
[tex]Distance=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]Substitute the given values:
[tex]\begin{gathered} KN=\sqrt[]{(2-(-2))^2+(2-(-1))^2} \\ =\sqrt[]{(2+2)^2+(2+1)^2} \\ =\sqrt[]{(4)^2+(3)^2} \\ =\sqrt[]{16+9} \\ =\sqrt[]{25} \\ =5\text{ units} \end{gathered}[/tex]The distance between the two points is 5 units.
Related Questions
Why was math created
Answers
SOLUTION:
Step 1:
In this quesdtion, we are meant to explain the topic:
Why was Math created?"
Step 2:
The details of the solution are as follows:
1. Mathematics is a body of knowledge and knowledge and practice, that is derived from the contributions of thinkers throughout the ages and across the globe.
2. It gives us a way to understand patterns, to quantify relationships, and to predict the future.
3. Math helps us understand the world — and we use the world to understand math.
4. Excellent for your brain: Creative and analytical skills are highly desired by employers.
5. It has a lot of real-world applications.
6. It helps in better problem-solving skills.
7. Mathematics is needed in almost every career and profession.
8. Mathematics helps understand the world better.
9. Mathematics is a universal language.
10. Numbers help us understand the world, and Mathematics helps us understand numbers.
The real-life applications of Mathematics are endless.
We are surrounded by numbers, equations and algorithms – especially in this age of data science, with huge data sets that can only be understood through statistical models and analysis.
Answer:
Maths was invented to understand the world and to make measurements, do calculations etc. make and measure shapes, measure angles, and to use these things in real life. The Egyptians used the Pythagoras theorem to accurately make their pyramids.
Christi earns $21 per hour working as a receptionist. If she works 19 hours per week, what is her weekly wage? A) $250 B) $299 C) $350 D) $399
Answers
Since Christi earns $21 per hour, to find how much she earns by working 19 hours per week we need to multiply the hourly wage by the number of hours she works in a week:
[tex]21\times19=399[/tex]Her weekly wage is $399
Answer: D) $399
what is polynomial define on the basis of degree and terms
Answers
Detailed Answer :-
Based on the Degree :
• A polynomial having degree 0 is called a constant polynomial.
• A polynomial having degree 1 is called a linear polynomial.
• A polynomial having degree 2 is called a quadratic polynomial.
• A polynomial having degree 3 is called a cubic polynomial.
• A polynomial having degree 4 is called a bi-quadratic polynomial.
Based on the Number of Terms :
• One term - Monomial
• Two terms - Binomial
• Three terms - Trinomial
• Four terms - Quadrinomial
All of these are generally called POLYNOMIALS.
Find the lateral area and the surface area of the right cone. Round your answer to the nearest hundredth
Answers
The lateral area of a cone is the area of the lateral surface, except the base.
The surface area of a cone is the area of all its surface, which is the lateral side PLUS the base.
The lateral area is given by the formula >>>
[tex]LA=\pi rl[/tex]The surface area is given by the formula >>>
[tex]SA=\pi r^2+\pi rl[/tex]Given
r = 10 cm
h = 24 cm
Let's find l,
[tex]\begin{gathered} r^2+h^2=l^2 \\ 10^2+24^2=l^2 \\ l=\sqrt[]{10^2+24^2} \\ l=26 \end{gathered}[/tex]Let's find the lateral area and the surface area >>>
Lateral Area =
[tex]\begin{gathered} LA=\pi rl \\ LA=\pi(10)(26) \\ LA=260\pi \\ LA=816.81\text{ sq. cm.} \end{gathered}[/tex]Surface Area =
[tex]\begin{gathered} SA=\pi r^2+\pi rl \\ SA=\pi(10)^2+260\pi \\ SA=100\pi+260\pi \\ SA=360\pi \\ SA=1130.97\text{ sq. cm.} \end{gathered}[/tex]AB is a median of a triangle true or false
Answers
To answer this question, first we need to understand the definition of a median of a triangle.
A median of a triangle is a line segment drawn from a vertex to the midpoint of the opposite side of the vertex.
AB is a segment drawn from the vertex A, to the point B, but B is not the midpoint of the base of this triangle(the midpoint divides the segment into two equal parts, and since one part is 7 and the other is 8, B is not the midpoint
Joy took off from a stop light and increased her speed until she reaches the speed limit. She kept her speed steady until she saw a sign saying the speed limit has been increased. Select the graph that represents this situation.
Answers
We are presented with a group of graphs in which the x-axis represents time and the y-axis represents speed.
We are told that Joy started by accelerating when she took off, which means the graph should start with a line with positive slope.
She then maintained her speed, which means the slope of the line is 0, orin other words, the line is parallel to the time axis.
Finally, we are told that she saw a sign saying the speed limit had been increased, so she probably accelerated again, meaning the line should have a positive slope again.
Thus, the graph representing the situation is the third option.
Given a standard normal curve, find the area under the curve between z =1.40 and z =2.13.
Answers
Given:
z = 1.40 and z = 2.13
Let's find the area under the standard normal curve.
Let's find the score using the standard normal distribution table:
NORMSDIST(1.40) = 0.9192
NORMSDIST(2.13) = 0.9834
To find the area between them, we have:
P(1.40 < Z < 2.13) = P(Z<2.13) - P(Z<1.40) = 0.9834 - 0.9192 = 0.0642
Therefore, the area under the curve between z=1.40 and z=2.13 is 0.0642
ANSWER:
0.0642
Out of 441 applicants for a job 235 have over five years of experience and 106 have over five years of experience and have a graduate degreeWhat is the probability that a randomly chosen applicant has a graduate degree given that they have a five years of experience enter a fraction or round your answer to four decimal places if necessary
Answers
Probability that a randomly chosen applicant has a graduate degree given that they have a five years of experience = 106/441
Explanation:Total number of applicants, n(Total) = 441
Number of candidates that have over five years of experience, n(5 yrs) = 235
Probability that a randomly chosen applicant has over 5 years experience
[tex]\begin{gathered} P(5yrs)=\frac{n(5yrs)}{n(Total)} \\ \\ P(5yrs)=\frac{235}{441} \end{gathered}[/tex]Number of applicants that have over five years of experience and have a graduate degree, n(5 n g) = 106
Probability that a randomly selected applicant has over five years of experience and have a graduate degree
[tex]\begin{gathered} P(5\text{ n g\rparen = }\frac{n(5\text{ n g\rparen}}{n(Total)} \\ \\ P(5\text{ n g\rparen = }\frac{106}{441} \end{gathered}[/tex]Probability that a randomly chosen applicant has a graduate degree given that they have a five years of experience
[tex]\begin{gathered} P(g\text{ /5yrs\rparen = }\frac{P(5\text{ n g\rparen}}{P(5yrs)} \\ \\ P(g\text{ /5yrs\rparen = }\frac{106}{441}÷\frac{235}{441} \\ \\ P(g\text{ /5yrs\rparen=}\frac{106}{441} \end{gathered}[/tex]A middle schooler is H inches tall at the beginning of the school year is the height of the middle school at the end of the year can be represented by the expression H + 0.02h, which statement is true?
Answers
Answer:
A
Step-by-step explanation:
h + 0.02h = (1+0.02)h = 1.02h
1.02h * 100% = 102%
102 - 100 = 2%
Find the area and the circumference (or perimeter) of each of the following. (a)a penny; (b) anickel; (c) a dime; (d) a quarter, (e) a half-dollar; (f) a silver dollar; (g) a Sacajawea dollar; (h) adollar bill; and (i) one face of the pyramid on the back of a $1 bill.
Answers
You use this for the coins
Area of a circle:
[tex]A=\pi\cdot r^2[/tex]r is the radius and it can be obtaided more easily if you measure the diameter of the circle and then divide it into 2.
Circunference or perimeter of a circle:
[tex]C=2\cdot\pi\cdot r[/tex]--------------------------------------------
You use this for the bills:
Aera of a rectangle:
[tex]A=l\cdot w[/tex]Perimeter of a rectangle:
[tex]P=2l+2w[/tex]------------------------
The face a pyramid has the shape of a trianlge:
Area of a triangle:
[tex]A=\frac{1}{2}b\cdot h[/tex]Perimeter of a triangle:
[tex]P=b+a+a[/tex]x Michael uses synthetic division to divide f(x) by g(x), his last line of work 0/3is shown. How would he write his answer of f(x) divided by g(x). *7 0 24 0 0
Answers
It's important to know that synthetic division gives a polynomial as a result.
Michael obtained 7 0 24 0 0. We just need to add variables to it. As you can observe, there are 5 terms, that means the polynomial is grade 4.
[tex]7x^4+0x^3+24x^2+0x+0[/tex]Therefore, the resulting polynomial is
[tex]7x^4+24x^2[/tex]determine whether or not each spaceship trip below has the same speed as Saiges spaceship
Answers
1) Since Saige's spaceship makes 588 km in 60 seconds we can find its velocity:
[tex]\begin{gathered} V=\frac{d}{t} \\ V=\frac{588}{60}=\frac{49}{5}\text{ =9.8 km /s} \\ \\ V_2=\frac{441}{45}=\frac{49}{5} \\ V_3=\frac{215}{25}=\frac{43}{5} \\ V_4=\frac{649}{110}=\frac{59}{10} \end{gathered}[/tex]2) After simplifying we can state:
441/45 = has the same speed as Saige's spaceship
215/25 = does not have the same speed as Saige's space
649/110 =does not have the same speed as Saige's space
Used two equations in two variables to solve the application.A 60 m pass around the rectangular garden. The width of the garden is 2/3 its length. Find the area in meters squared.
Answers
From the data provided, we can conclude:
The perimeter of the rectangle is 60m, so:
[tex]60=2w+2l_{\text{ }}(1)[/tex]Where:
w = width
l = length
The width of the garden is 2/3 its length, therefore:
[tex]w=\frac{2}{3}l_{\text{ }}(2)[/tex]Replace (2) into (1)
[tex]60=2(\frac{2}{3}l)+2l[/tex]Solve for l:
[tex]\begin{gathered} 60=\frac{4}{3}l+2l \\ 60=\frac{10}{3}l \\ l=\frac{180}{10} \\ l=18 \end{gathered}[/tex]Replace l into (2):
[tex]\begin{gathered} w=\frac{2}{3}(18) \\ w=12 \end{gathered}[/tex]A spinner has eight = sections, five of which are gray and red with your blue. The Spinners spun twice. What is the probability that the first spin lands on blue and the second spin lands on gray.
Answers
The probability that the first spin lands on blue and the second spin lands on gray is 15 / 56.
What is probability?Probability is the likelihood that an event will happen or take place.
The spinner has eight = sections, five of which are gray and red with your blue.
Probability that the first spin lands on blue = 8
(8 - 5)/8 = 3/8
The probability of landing of gray is 5/7 for the second time.
Therefore, the probability will be:
= 3/8 × 5/7
= 15 / 56
This illustrates the concept of probability.
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Find the volume of the given prism. Round to the nearest tenth if necessary.A.2,511.5 yd^3B.1,255.7 yd^3C.1,025.3 yd^3D.1,450.0 yd^3
Answers
Given:
The sides of an equilateral triangle base are 10 yds. The height of the prism is 29 yds.
To find:
The volume of the prism.
Solution:
The formula of the volume of the triangular prism is given by:
[tex]V=\text{ (area of base)}\times\text{ (height of the prism)}[/tex]It is known that the area of the equilateral triangle is given by:
[tex]A=\frac{\sqrt[]{3}}{4}(side)^2[/tex]So, the area of the base of the triangular prism is:
[tex]\begin{gathered} A=\frac{\sqrt[]{3}}{4}(10)^2 \\ =\frac{1.732}{4}\times100 \\ =\frac{173.2}{4} \\ =43.30 \end{gathered}[/tex]Now, the volume of the given triangular prism is:
[tex]\begin{gathered} V=43.30\times29 \\ =1255.7\text{ yad\textasciicircum{}3} \end{gathered}[/tex]The Following to wait table shows the number of student of the school who have a cell phone and or part-time job:
Answers
Explanation
in the column we have
-have cell phones
-do not have cell phones
-total
and
in the other side.
-have a part time job
-do not have part time job,
so to know the number of students whoh fit both conditions ( have a cell phone and have a part time job) we need to find the cell where both intersect each other
hence, the answer is
[tex]2)40[/tex]I hope this helps you
log(x) + log(x + 3) = 7
Answers
Answer:
[tex]x=3160.778016...[/tex]
Step-by-step explanation:
Given logarithmic equation:
[tex]\log(x)+\log(x+3)=7[/tex]
[tex]\textsf{Apply the product log law}: \quad \log_axy=\log_ax + \log_ay[/tex]
[tex]\implies \log(x(x+3))=7[/tex]
[tex]\implies \log(x^2+3x)=7[/tex]
[tex]\textsf{Apply the log law}: \quad \log_ab=c \iff a^c=b[/tex]
[tex]\implies x^2+3x=10^7[/tex]
[tex]\implies x^2+3x-10000000=0[/tex]
Solve the quadratic equation by using the quadratic formula.
Quadratic Formula
[tex]x=\dfrac{-b \pm \sqrt{b^2-4ac}}{2a}\quad\textsf{when }\:ax^2+bx+c=0[/tex]
Therefore:
[tex]a=1, \quad b=3,\quad c=-10000000[/tex]
Substitute the values of a, b and c into the quadratic formula:
[tex]\implies x=\dfrac{-3 \pm \sqrt{3^2-4(1)(-10000000)}}{2(1)}[/tex]
[tex]\implies x=\dfrac{-3 \pm \sqrt{9+40000000}}{2}[/tex]
[tex]\implies x=\dfrac{-3 \pm \sqrt{40000009}}{2}[/tex]
[tex]\implies x=3160.778016..., \quad x=-3163.778016...[/tex]
As logs of negative numbers cannot be taken, the only valid solution is:
[tex]\boxed{x=3160.778016...}[/tex]
You are looking for summer work to help pay for college expenses. Your neighbor is interested in hiring you to do yard work and other odd jobs. You tell them that you can start right away and will work all day July 1 for 3 cents. This gets your neighbor's attention, but they is wondering if there is a catch. You tell them that you will work July 2 for 9 cents, July 3 for 27 cents, July 4 for 81 cents, and so on for every day in the month of July. Which equation will help you determine how much money you will make in July?
Answers
Answer:
y=3^x
Explanation:
The expected payments (in cents) beginning from July 1 are given below:
[tex]3,9,27,81,\cdots[/tex]Observing the payments for each subsequent day, we see that the payment for the previous day was multiplied by 3.
We can rewrite the payment as a power of 3 as follows:
[tex]3^1,3^2,3^3,3^4,\cdots[/tex]Therefore, the equation will help you determine how much money you will make in July will be:
[tex]y=3^x[/tex]The first option is correct.
the cash register do ducks $250 from a $25 Coffee Cafe gift card for every medium coffee with a customer buys an equation is written to calculate the total amount on the gift card what is the meaning of the Y intercept in the equation
Answers
The equation can be represented by
y= 25 - 2.5x
by comaprison with y = mx + c
c = 25 ( note tha c means y-intercept)
This 25 represents the initial value of the gift card
The correct answer is option d
The perimeter of a triangle is 14.x - 4. If two of the sides measure 3.x - 2 and 5x + 3, then how long is the third side?
Answers
Given :
The perimeter of a triangle is, P = 14x - 4.
The sides are, a = 3x-2 and b = 5x + 3.
The perimeter of a triangle with sides a, b and c can be expressed as,
[tex]P=a+b+c[/tex]Substituting the values, we get,
[tex]\begin{gathered} 14x-4=3x-2+5x+3-c \\ c=14x-4-(3x-2+5x+3) \\ c=6x-5 \end{gathered}[/tex]Thus, the correct option d.
What is the domain of F
Answers
If the function be [tex]$\frac{x^3-3 x+1}{8 x-5}$[/tex] then the domain of the function exists
[tex]$\left[\begin{array}{ccc}\text { Solution: } & x < \frac{5}{8} & \text { or } \quad x > \frac{5}{8} \\ \text { Interval Notation: } & \left(-\infty, \frac{5}{8}\right) \cup\left(\frac{5}{8}, \infty\right)\end{array}\right]$[/tex]
What is meant by domain of a function?The collection of all potential inputs for a function is its domain.
Consider the function y = f(x), which has the independent variable x and the dependent variable y. A value for x is said to be in the domain of a function f if it successfully allows the production of a single value y using another value for x.
Let the function be [tex]$\frac{x^3-3 x+1}{8 x-5}$[/tex]
Domain of [tex]$\frac{x^3-3 x+1}{8 x-5}$[/tex] :
[tex]$\left[\begin{array}{ccc}\text { Solution: } & x < \frac{5}{8} & \text { or } \quad x > \frac{5}{8} \\ \text { Interval Notation: } & \left(-\infty, \frac{5}{8}\right) \cup\left(\frac{5}{8}, \infty\right)\end{array}\right]$[/tex]
Range of [tex]$\frac{x^3-3 x+1}{8 x-5}:\left[\begin{array}{cc}\text { Solution: } & -\infty < f(x) < \infty \\ \text { Interval Notation: } & (-\infty, \infty)\end{array}\right]$[/tex]
Axis interception points of [tex]$\frac{x^3-3 x+1}{8 x-5}[/tex]
X Intercepts: [tex]$(0.34729 \ldots, 0),(1.53208 \ldots, 0)$[/tex], [tex]$(-1.87938 \ldots, 0)$[/tex],
Y Intercepts: [tex]$\left(0,-\frac{1}{5}\right)$[/tex]
Asymptotes of [tex]$\frac{x^3-3 x+1}{8 x-5}: \quad$[/tex]
Vertical: [tex]$x=\frac{5}{8}$[/tex]
Extreme Points of [tex]$\frac{x^3-3 x+1}{8 x-5}$[/tex]
Minimum [tex]$(-0.54351 \ldots,-0.26422 \ldots)$[/tex]
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-10 x is greater than or equal to 2x
Answers
We need to solve the following inequality:
[tex]-10\text{ }\ge2x[/tex]We need to isolate the "x" variable, when we do that the number that is multiplying it should go to the other side with its inverse operation, which is division.
[tex]\begin{gathered} \frac{-10}{2}\ge x \\ -5\ge x \end{gathered}[/tex]Now we need to flip the expression, so the variable is isolated on the left side. Since this is an inequality we also need to flip the inequality signal. This is done below.
[tex]x\leq-5[/tex]For the expression to be true x must be less or equal to -5.
draw the image of quadrilateral ABCD under a translation by 1 unit to the right and 6 units up
Answers
Assuming any quadrilateral:
A(-2, -1)
B(-1, -4)
C(-4, -6)
D(-5, -3)
The derivative of tan(ln(t)) is?
Answers
Answer: The derivative of tan(t) with respect to t is sec2(t) sec 2 ( t ) .
Step-by-step explanation:
hope this helps
what do you do when you solve for X.
Answers
Using the property vertically opposite angles and the corresponding angles, the value of x can be determine as,
[tex]\begin{gathered} 19x-4=110 \\ 19x=114 \\ x=6 \end{gathered}[/tex]Thus, the required value of x is 6.
2. When is it important to use a strict inequality vs a non-strict inequality?
Answers
A strict inequality is one which involves the use of
[tex]>\text{, }<\text{ or }\ne[/tex]A non-strict inequality is one which involves the use of
[tex]\ge\text{ or }\leq[/tex]A strict inequality is used in a case when the two values being compared or related to one another cannot be equal to one another. That is, they are different.
A non-strict inequality is used in case when there is a possibility that the two values being compared can be equal to one another.
On Saturday, 3 families with 4 people in each family went to a movie. Each person bought 2 snacks. Which equation can be used to find how many total snacks the families bought?
Answers
Answer:
Step-by-step explanation:3x4=12x2
I’m not sure how to figure this out.What is 8% of 4000?
Answers
8% of 4000 express as;
[tex]\begin{gathered} \text{ 8\% of 4000=}\frac{8\times4000}{100} \\ \text{8\% of 4000=320} \end{gathered}[/tex]Thus, 8% of 4000 is 320
Answer : 320
...
write the simplest polynomial equation with the given roots. -1, 2i please answer quickly
Answers
The polynomial equation with root of -1 and 2i is,
[tex]\begin{gathered} (x+1)(x+2i)(x-2i)=(x+1)(x^2-(2i)^2) \\ =(x+1)(x^2-4i^2) \\ =(x+1)(x^2+4) \\ =x^3+4x+x^2+4 \\ =x^3+x^2+4x+4 \end{gathered}[/tex]So simplest polynomial is,
[tex]x^3+x^2+4x+4[/tex]Hello could you please help me with question number five?
Answers
Question #5
Given:
The number of people who own computers has increased 23.2% annually since 1990
In 1990: the number of people who own computers = half a million
We will predict the number of people in 2015
We will use the following formula:
[tex]P(t)=P_o\cdot(1+r)^t[/tex]Where: (r) is the ratio of increasing = 23.2% = 0.232
And (t) the number of years after 1990
And P₀ is the initial value of the number of people
P(t) will be the number of people after (t) years
To predict the number of people in 2015
t = 2015 - 1990 = 25 years
so,
[tex]\begin{gathered} P=0.5\cdot(1+0.232)^{15} \\ P=0.5\cdot1.232^{15}\approx11.43\text{ millions} \end{gathered}[/tex]So, the answer will be:
The estimated number of people = 11.43 million