What is an equation of the line that passes through the points (0,3) and (5, -3)?
Answers
Answer:
f(x) = - 6/5 * x + 3
Related Questions
Find the distance between the two given points in simplest form.
5. H(-3, 6) & C(-3, -3)
HC =??
6. E(9, -2) & G(10, -1)
an is 20.
EG=??
Answers
The distance between the two given points in simplest form is
5. \(\text { Distance }=\sqrt{\left(x_2-x_1\right)^2+\left(y_2-y_1\right)^2}\)
The distance between two points with coordinates
(-3,6) and (-3,-3) is:
HC =9.00 units
(results are in decimal form, rounded to the nearest 100th)
6. \(\text { Distance }=\sqrt{\left(x_2-x_1\right)^2+\left(y_2-y_1\right)^2}\)
The distance between two points with coordinates
(9,-2) and (10,-1) is:
EG =1.41 units
(results are in decimal form, rounded to the nearest 100th)
In this question, we are given two points and we need to find the distance between them in radical form. Therefore, we need to find the distance keeping the square root sign. For this we will generally use the distance formula. The distance between two points \($ \left( {{x}_{1}},{{y}_{1}} \right)\text{ and }\left( {{x}_{2}},{{y}_{2}} \right) $\) is given by the formula, \($ d=\sqrt{{{\left( {{x}_{2}}-{{x}_{1}} \right)}^{2}}+{{\left( {{y}_{2}}-{{y}_{1}} \right)}^{2}}} $\) . We will solve the squares and add them but we will not solve the square root so that it remains in radical form.
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A circle has a diameter of 9cm a square has a side length 5cm use pythagoras theorem to show the square will fit in the circle without touching the sides
Answers
The answer is 9cmsquare +5cmsquare equal to =106cm
What is an acute angle?
What is an obtuse angle?
Use a dictionary to look up the non-math
definitions of acute and obtuse. How do the
definitions relate to the math definitions?
Answers
Answer:
An acute angle is less than 90°.
An obtuse angle is more than 90°.
Step-by-step explanation:
Sorry if wrong didn't really get the question I'm a little slow
HELP ME PLS
(I have the answers I just need to show the work and that’s it)
Answer: B
Answers
Answer:
Im dumb but cant you just be like, I subtracted 146° and 62°?
The triangle 180-34-62=?
?= 84
URGENT, please help I am so lost
Answers
Answer:
Using the concept of linear equations, we find that we need 40 gallons of the 65% antifreeze and 10 gallons of the 90% antifreeze.
Step-by-step explanation:
Let x = amount of 20% antifreeze
Let y = amount of 70% antifreeze
Given that the total amount of antifreeze is 80 gallons
So, x + y = 80
Also given that the purity of the total antifreeze is 60%.
0.65x + 0.90y = 0.70(x + y)
65x + 90y = 70(x + y)
Simplify and solve the system of equations
65x + 90y = 70x + 70y
65x -70x+ 90y-70y = 0
-5x + 20y = 0
Now we have the following system of equations:
x + y = 50
-5x + 20y = 0
Multiply the first equation by 5 to get opposite coefficients for x;
add the equations to eliminate x
5x + 5y - 5x + 20y = 250
25y = 250
y = 10
Since the total mixed gallons is 50,
x = 50 - 10 = 40
So we need 40 gallons of the 65% antifreeze and 10 gallons of the 90% antifreeze
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Use Euler's Formula to express each of the following in a + bi form.
(Use symbolic notation and fractions where needed.)
-e(3x/4)i =
exi =
Sie-(π/3)i =
Answers
The answers are as follows:
-e^(3x/4)i = -cos(3x/4) - i sin(3x/4)
e^xi = cos(x) + i sin(x)
Sie^(-π/3)i = -sin(π/3) + i cos(π/3)
Euler's formula is a fundamental mathematical relationship that connects the exponential function, trigonometric functions, and imaginary numbers. It is expressed as e^(ix) = cos(x) + i sin(x), where e is the base of the natural logarithm, i is the imaginary unit (√-1), cos(x) represents the cosine function, and sin(x) represents the sine function.
To express a complex number in the form a + bi using Euler's formula, we need to identify the real and imaginary parts of the number.
1. For -e^(3x/4)i:
Using Euler's formula, we can write this as -cos(3x/4) - i sin(3x/4).The real part is -cos(3x/4), and the imaginary part is -sin(3x/4).2. For e^(xi):
Applying Euler's formula, we have cos(x) + i sin(x).The real part is cos(x), and the imaginary part is sin(x).3. For Sie^(-π/3)i:
Using Euler's formula, we get -sin(π/3) + i cos(π/3).The real part is -sin(π/3), and the imaginary part is cos(π/3).In each case, we can express the complex number in the form a + bi, where a represents the real part and b represents the imaginary part. The angle x in the formulas can be any real number, and the resulting expressions give us the corresponding values of cosine and sine at that angle, allowing us to represent complex numbers using trigonometric functions.
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Find the volume of the composite solid. 12 m I 8 m 4 m 4 m
Answers
Answer:
1536
Step-by-step explanation:
12 x 8 x 4 x 4
(might be wrong)
If the function h is defined by h(x)=\(x^{2}\)-3x+5,then h(2x+1)=
Answers
Given:
The function is:
\(h(x)=x^2-3x+5\)
To find:
The value of \(h(2x+1)\).
Solution:
We have,
\(h(x)=x^2-3x+5\)
Putting \(x=2x+1\), we get
\(h(2x+1)=(2x+1)^2-3(2x+1)+5\)
\(h(2x+1)=(2x)^2+2(2x)(1)+(1)^2-3(2x)-3(1)+5\)
\(h(2x+1)=4x^2+4x+1-6x-3+5\)
On combining like terms, we get
\(h(2x+1)=4x^2+(4x-6x)+(1-3+5)\)
\(h(2x+1)=4x^2-2x+3\)
Therefore, the required function is \(h(2x+1)=4x^2-2x+3\).
Name each level of measurement for which data can be qualitative.
Select all the levels of measurement for which data can be qualitative.
A. Nominal Your answer is correct.
B. Ratio
C. Interval
D. Ordinal
Answers
Answer:
qualitative and ordinal.
Step-by-step explanation:
They are both two types of qualitative data under Categorical data.
Nominal and ordinal are the levels of measurement for which data can be qualitative. Therefore, the correct option is option A, D.
What is level of measurement?A categorization that describes the type of information contained inside the importance attributed to variables is called level of measurement and scale of measure. The most well-known classification was created by psychiatrist Stanley Smith Stevens and included four levels or measurement scales: nominal, ordinal, interval, or ratio.
This system of defining several measurement levels originated within psychology and has drawn heavy criticism from academics in other fields. Additional classifications include those made by Chrisman, Mosteller, and Tukey. Nominal and ordinal are the levels of measurement for which data can be qualitative.
Therefore, the correct option is option A, D.
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You had 150 , but you are spending 2 each day. What algebraic expression models this situation?
Answers
If you had $150, but you are spending $2 each day, then the algebraic expression model of this situation is 150-2x
Given,
The total amount you had = $150
The amount you spend in each day = $2
Consider the number of days = x
Then the algebraic expression for this situation is 150-2x
Hence, If you had $150, but you are spending $2 each day, then the algebraic expression model of this situation is 150-2x
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Paisley works on her drawings for 22 hours. She spends \frac{1}{6} 6 1 hour on each drawing. How many drawings does she work on in 22 hours?
Answers
Answer:
12 drawings
Step-by-step explanation:
Here is the question used in answering this question ;
Paisley works on her drawings for 2 hours. She spends 1/6 hour on each drawing. How many drawings does she work on in 2 hours?
to determine the answer, divide 2 hours by 1/6 hour
2 ÷ \(\frac{1}{6}\)
2 x 6 = drawings
Sam's Club has a special that charges $2.49 per case of water. Vinny wants to pay that price, but needs to purchase a membership first, which costs $50. If Vinny spent $67.43, which equation represents how many cases of water Vinny bought at Sam's club?
Answers
Answer: $50 + $2.49x = $67.43
Step-by-step explanation:
Let the case of water bought be represented by x.
We are informed that Sam's Club has a special that charges $2.49 per case of water and that Vinny wants to pay that price, but needs to purchase a membership first, which costs $50 and that Vinny eventually spent $67.43.
The equation that represents the number of cases of water that Vinny bought at Sam's club will be:
$50 + $2.49x = $67.43
As 1,000 earns simple interest at the rate of 3% each year. The interest is paid at the end of every month. How much interest will the bond have earned after 3 months?
Answers
9514 1404 393
Answer:
$7.50
Step-by-step explanation:
The monthly interest rate is 3%/12 = 1/4%. The dollar amount of interest earned in 3 months is ...
I = Prt = $1000(0.0025/mo)(3 mo) = $1000(0.0075) = $7.50
How many solutions does this system of equations have?
Responses
Exactly two
Exactly two
None
None
Infinitely many
Infinitely many
Exactly one
Exactly one
Graph of a system of linear equations. Equation 1 is negative x plus 2y equals 6. Equation 2 is negative x plus 2y equals 0. The graphs of the lines are parallel.
Answers
Answer: Answer is NONE
Step-by-step explanation:
I took the test
this is what I need help with, because I dont understand how to do it
Answers
Answer
102.1
Step-by-step explanation:
area of the shaded region is the area of the the whole circle subtract area area of the unshaded minor segment.
The sum of two consecutive integers is 187. Find the integers.
Answers
dividing the sum by two, you can find
the two integers together. Subtracting 1
from one of the halves(In this case, 0.5, as
187/2 is 93.5),
What is the value of x in the equation below?
12 – 2(x-1)=6
Answers
You would distribute the -2 and Zoe 1 and 1*-2=-2
am sorry for dripping but dripping is what i do
Answers
Step-by-step explanation:
and one of these day I must get straigh and drip all over you
P varies jointly with t and inversely with s. If p = 4 when t = 3 and s = 6, find p when t = -6 and s = 2.
Answers
Answer:
32
Step-by-step explanation:
AC is a diameter of OE, the area of the
circle is 289 units2, and AB = 16 units.
Find BC and mBC.
B
A
C
E. plssss hurry !!
Answers
The measure of arc BC is 720 times the measure of angle BAC.
Given that AC is the diameter of the circle and AB is a chord with a length of 16 units, we need to find BC (the length of the other chord) and mBC (the measure of angle BAC).
To find BC, we can use the property of chords in a circle. If two chords intersect within a circle, the products of their segments are equal. In this case, since AB = BC = 16 units, the product of their segments will be:
AB * BC = AC * CE
16 * BC = 2 * r * CE (AC is the diameter, so its length is twice the radius)
Since the area of the circle is given as 289 square units, we can find the radius (r) using the formula for the area of a circle:
Area = π * r^2
289 = π * r^2
r^2 = 289 / π
r = √(289 / π)
Now, we can substitute the known values into the equation for the product of the segments:
16 * BC = 2 * √(289 / π) * CEBC = (√(289 / π) * CE) / 8
To find mBC, we can use the properties of angles in a circle. The angle subtended by an arc at the center of a circle is double the angle subtended by the same arc at any point on the circumference. Since AC is a diameter, angle BAC is a right angle. Therefore, mBC will be half the measure of the arc BC.
mBC = 0.5 * m(arc BC)
To find the measure of the arc BC, we need to find its length. The length of an arc is determined by the ratio of the arc angle to the total angle of the circle (360 degrees). Since mBC is half the arc angle, we can write:
arc BC = (mBC / 0.5) * 360
arc BC = 720 * mBC
Therefore, the length of the arc BC equals 720 times the length of the angle BAC.
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Match the given situations with their correct probabilities. Answers should be expressed as fractions in simplest form. For questions 1-2. there are 52 cards in a deck of cards. There are 13 of each suit (spades, diamonds, hearts, clubs)What is the probability of picking a spade from standard deck of playing cards?4/131/51/42/37/525/122/13
Answers
The probability of an event happening is calculated by possible events divided by total events.
From a standard deck of 52 cards, there are 13 spades.
So the possible events are 13 and the total events are 52
This will be:
prob = 13/52 = 1/4
The answer is 1/4
An insurance company, based on past experience, estimates the mean damage for a natural disaster in its area is $5,000. After introducing several plans to prevent loss, it randomly samples 200 policyholders and finds the mean amount per claim was $4,800 with a standard deviation of $1,300. Does it appear the prevention plans were effective in reducing the mean amount of a claim? use the 0. 05 significance level. A. What is the decision rule? (negative amount should be indicated by a minus sign. Round your answer to 3 decimal places. )
Answers
In this case, the population consists of an insurance company's policyholders. The sample consists of his 200 policyholders under study. The sample size is 200.
H0: µ ≥ $5,000
Ha: µ < $5,000 (claimed)
As we can see that the sample size is 200, which is way greater than 30, so a z-test is appropriate here.
z(test) = (4800 - 5000) / (1300 / √200) = -2.1757
p (z = -2.1757) = 0.0148
The critical z-value for the left-sided test at α = 0.05 is -1.645
The tested value of z is less than the critical value, so we reject the null hypothesis. The hypothesis drawn here ( null hypothesis) will be rejected as an alternate decision because the p-value is less than the significance level (0.05).
At the 0.05 significance level, the prevention plan effectively reduced the average amount of harm. Insurers should continue these plans and try to improve them where possible.
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Andre's recipe for lemonade calls for 5 cups of
sugar to make 3 gallons of lemonade. Leila will
follow the same recipe to make g gallons of
lemonade using s cups of sugar. Which of these
equations represents the relationship between g
Answers
Answer: \(g= \frac{5}{3} s\)
Step-by-step explanation:
\(3g=5s\\g=\frac{3}{5}s\)
What are the five key points that you need to find for any given set of numbers in order to draw a Box plot for the data. Write the answer. Help
Answers
The five-number summary is the minimum, first quartile, median, third quartile, and maximum. In a box plot, we draw a box from the first quartile to the third quartile.
A psychologist studying the effects of positive thinking" on cognitive ability designs the following study: 120 male volunteers are divided into two groups by random assignment. Eighty female volunteers are randomly divided into two groups of 40 by the same method. One group of 60 males and 40 females is asked to write down three things they feel that they are good at doing. The other group of 60 males and 40 females is asked to write down what they ate for breakfast. All 100 subjects then take a SAT Math practice test, and the means for the two groups are compared. Which of the following is a correct description of this study?
i. An observational study
ii. A completely randomized experiment
iii. A matched pairs experiment
iv. A stratified random experiment
v. A randomized block experiment
Answers
All subpars are not correct.
In a completely randomized experiment, the subjects are randomly assigned to different treatment groups. In this study, the male and female volunteers are divided into two groups (group 1 and group 2) using random assignment. This allows the researcher to evaluate the effect of positive thinking on cognitive ability by comparing the performance of the two groups.
In a completely randomized experiment, participants are randomly assigned to different groups or conditions. In this study, the male and female volunteers were randomly divided into two groups, and one group was asked to write down their skills while the other group was asked to write down their breakfast. This random assignment ensures that any differences observed between the two groups can be attributed to the manipulation (positive thinking vs. breakfast) rather than pre-existing differences between the participant
Therefore, all subpars are not correct.
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a shirt cost $300 is reduced by 15%
what is the new price?
what is the savings?
Answers
The total savings would be $45 (300x0.15)
Answer:
saved: 45
new price is 255
Which set of coordinates describes a function ?
{(-5, -1), (-3, -3), (-1, -5), (-5, -7)}
{(6, 3), (4, 5), (2, 3), (0, 5)}
{(4, -3), (-4, -6), (4, 3), (-4, 6)}
{(2, 4), (2, -4), (4, 8), (6, 2)}
Answers
Answer:
Step-by-step explanation:
so basically it would be -5 divided by 1
The set of coordinates representing the function will be {(6, 3), (4, 5), (2, 3), (0, 5)}. Then the correct option is B.
What is a function?A function is an assertion, concept, or principle that establishes an association between two variables. Functions may be found throughout mathematics and are essential for the development of significant links.
Let's check all the options, then we have
A. {(-5, -1), (-3, -3), (-1, -5), (-5, -7)}
At x = -5, the number of values of 'y' will be 2. Then it is not a function.
B. {(6, 3), (4, 5), (2, 3), (0, 5)}
For each value of 'x', the values of 'y' will be unique. Then it is a function.
C. {(4, -3), (-4, -6), (4, 3), (-4, 6)}
At x = 4, the number of values of 'y' will be 2. Then it is not a function.
D. {(2, 4), (2, -4), (4, 8), (6, 2)}
At x = 2, the number of values of 'y' will be 2. Then it is not a function.
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help ASAP!!! answer e f g h question
Answers
Step-by-step explanation:
answer......
...........
Simplify the expression.
2 + (g + 5)
Answers
Answer is
7 +g
Step-by-step explanation:
2+5+g
=7+g
Answer:
g+7
Step-by-step explanation:
Have an amazing day!
if f(x)=1/x+2 what is f(3+h)?
a)(3+h/x+2)
b)1/h+5
c)1/3+h
d)1/(x+2)(3+h)
Answers
The function given to us is:
\(f(x)=\frac{1}{x+2}\)We have been asked to find f(h + 3). Th
Answer:
b
Step-by-step explanation:
\(f(3+h)=\frac{1}{3+h+2}=\frac{1}{h+5}\)