Answer:
Step-by-step explanation:
y = (4/3)x+7
Slope of the line is 4/3.
Slope of any perpendicular to the line is -¾.
Point-slope equation for line of slope -¾ that passes through (4,11):
y-11 = -¾(x-4)
Of course, you may want to rearrange it to slope-intercept form or standard form.
y = -¾x+15 slope-intercept
x+4y = 60 standard
help me pls someone?
Hanukkah lasts for 8 nights. You have four family members to purchase
gifts for as well as a new Menorah for your home. The Menorah costs
$42.00. If you have a total of $386.00 to spend, how much can you spend on
each family member?
Answer
86
Step-by-step explanation:
You can spend 86 on each family member. 386-42=344
344/4=86
Estimate the value of 50.
O A. between 5 and 6
O B. between 6 and 7
C. between 7 and 8
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D. between 8 and 9
PLEASE HELPP
Answer: c
Step-by-step explanation: because 7 squared is 49 and 8 squared is 64
nvm i read the question wrong
Step-by-step explanation:
the person above is correct
S=1+2+3+........+100
Answer:
5050
Step-by-step explanation:
Gauss has derived a formula to solve addition of arithmatic series to find the sum of the numbers from 1 to 100 as follows:
1 + 2 + 3 + 4 + … + 98 + 99 + 100
First he has splitted the numbers into two groups (1 to 50 and 51 to 100), then add these together vertically to get a sum of 101.
1 + 2 + 3 + 4 + 5 + … + 48 + 49 + 50
100 + 99 + 98 + 97 + 96 + … + 53 + 52 + 51
1 + 100 = 101
2 + 99 = 101
3 + 98 = 101
:
:
:
:
48 + 53 = 101
49 + 52 = 101
50 + 51 = 101
It was realized by him that final total will be fifty times of 101 means:
50(101) = 5050.
Based on this, Gauss has derived formula as:
The sequence of numbers (1, 2, 3, … , 100) is arithmetic and we are looking for the sum of this series of sequence. As per Gauss, the special formula derived by him can be used to find the sum of this series:
S is the sum of the series and n is the number of terms in the series, in present case, from 1 to 100, Hence
As per the Gauss formula, the sum of numbers from 1 to 100 will be 5050.
Answer : 5050
Find the product
-1/2y(2y^3-8)
Answer:
-y^4+4y
Step-by-step explanation:
To have $25,000 to spend on a new car in five years, how much money should Jill invest today at 8% compounded monthly?
Answer:
The answer is C. $16,780
Step-by-step explanation:
Answer:
c, 16,780
Step-by-step explanation:
plato
Silvia has completed 8 math exercises e. This one fourth of the assignment. How many exercises were assigned?
Answer:
32
Step-by-step explanation:
since there are 4 parts, multiply 8 by 4
Given the following formula, solve for v.
S=1/2a2v+c
Answer:
Since there is no initial condition, the exact value of v cannot be determined, but you can set the equation up for a general evaluation of the situation.
s = 1/2a^2*v+c
First you need to subtract c from both sides to get
s-c = 1/2a^2*v
then you can just divide both sides by 1/2a^2 to get v
(2(s-c))/a^2=v
when dividing a fraction, such as 1/2, make sure to keep in mind that you're really multiplying the flipped version, so that dividing by 1/2 means multiplying by 2.
Step-by-step explanation:
A circular park of radius 20m is situated in a colony. Three boys Ankur, Syed and David are sitting at equal distance on its boundary each having a toy telephone in his hands to talk each other.name the type of triangle asd formed
Find the length of AM
Find the length of OM
Find the length of the string of each person
Answer:
The triangle formed is Equilateral triangle.
I have taken Perpendicular = P ( you can say M)
√400 - x² = OP (OM)
√3 x = AP (AM)
The length of the string of each person = 20√3 m
Step-by-step explanation:
As given , circular park with radius 20m
Let , Ankur sit on boundary point A
Syed sit on boundary point S
David sit on boundary point D
As given,
Ankur, Syed and David are sitting at equal distance on its boundary
⇒AS = AD = SD
Let AS = AD = SD = 2x
As the sides are equal
⇒ The triangle formed is Equilateral triangle.
Now,
Draw a perpendicular on the side SD
Let OP be the perpendicular
⇒SP = PD = [tex]\frac{1}{2}[/tex]SD = [tex]\frac{1}{2}. 2x = x[/tex]
So, we get
SP = x , PD = x
Now, Draw the line OS and OA
AS , we can see that ,
ΔOPS and ΔAPS are right angle triangle ,
So , apply Pythagoras theorem to ΔOPS and ΔAPS
In ΔOPS
OS² = OP² + PS²
⇒20² = OP² + x²
⇒400 - x² = OP²
⇒√400 - x² = OP
Now,
In ΔAPS
AS² = AP² + PS²
⇒(2x)² = AP² + x²
⇒4x² - x² = AP²
⇒√3x² = AP
⇒√3 x = AP
Now,
We can see that,
AP = AO + OP
⇒√3 x = 20 + √400 - x²
⇒√3 x - 20 + = √400 - x²
Squaring both side
⇒(√3 x - 20 )²= (√400 - x²)²
⇒3x² + 400 - 40√3 x = 400 - x²
⇒3x² + x² = 40√3 x
⇒4x² = 40√3 x
⇒x = 10√3
∴ we get
AS = SD = AD = 2(10√3) = 20√3 m
⇒The length of the string of each person = 20√3 m
(+12) - (-12) =
Resultado, porque, operación completa, 10 puntos
Please please please help ill do anything
Answer:
Anything??
Step-by-step explanation: (Im joing btw didnt want to offend anyone lol)
x=40
Please help me I’m confused
In the equation y = mx + b, the "b" is the y-intercept
True
False
Answer:
False
Hope my answer helps you pls mark me as brainiest :)
Is 7 a positive or Negative number?
An employee working 40 hours per week earns a salary of $600 per week but gets a second job offer to work 40 hours per week, hourly at $20 an hour. Which position generates the most income and how much more does that position make? Show your work or explain how you got your answer.
As per the given ratio comparison, We can say that the Second job generates the most income and that position makes him $5 per hour.
What is ratio?The ratio can be defined as the number that can be used to represent one quantity as a percentage of another. Only when the two numbers in a ratio have the same unit can they be compared. Ratios are used to compare two objects.
Given, An employee working 40 hours per week earns a salary of $600 per week but gets a second job offer to work 40 hours per week, hourly at $20 an hour.
For the first job, we will calculate the ratio of the employee Salary to the working hours to compare with the salary of the Second job:
Since,
He makes $600 per week for working 40 hours
Thus,
His hourly salary = 600/40
His hourly salary will be $15.
For the second job, it is already mentioned that the employee gets $20 per hour for the same working hours.
therefore, the Second job generates the most income and that position makes him $5 per hour.
Learn more about ratios here:
https://brainly.com/question/13419413
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9. Put these numbers in greatest to least order: 2/3, 60%, 0.06, 3/4
Step-by-step explanation:
0.0660%2/33/4hope it's right :)
Please help me, thanks!
Help please I will reward you
Answer:
Add each side of the rectangle together to get the perimeter.
Step-by-step explanation:
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A student has a class that is supposed to end at 9:00am and another that is supposed to begin at 9:10am. Suppose the actual ending time of the 9am class is a normally distributed random variable (rv) X1 with mean 9:02am and standard deviation 1.5 minutes. Suppose that the starting time of the 9:10am class is a normally distributed rv X2 with mean 9:10am and standard deviation 1 minute. Suppose further that the time necessary to
Answer:
0.8340
Step-by-step explanation:
The aim of this question is to find the probability that the student makes it to the second class prior to when the lecture commences.
Provided that A, B, and C are independent of each other from the full complete question.
Then; we want P(A + C < B)
So A [tex]\sim[/tex] N (2, 1.5)
B [tex]\sim[/tex] N (10, 1)
C [tex]\sim[/tex] N (6, 1)
P(A + C - B < 0)
Since they are normally distributed( i.e. A + C - B)
Then;
E(A + C -B) = E(A) + E(C) - (B)
E(A + C -B) = 2 - 10 + 6
E(A + C -B) = -2
Var(A+C -B) = Var(A) + Var (B) + Var (C)
Var(A + C -B) = (1.5)² + (1)² + (1)²
Var(A + C -B) = 4.25
The standard deviation = [tex]\sqrt{4.25}[/tex]
The standard deviation = 2.06155
[tex]P(A+C-B) = p \Big (Z < \dfrac{0-(-2)}{2.06155} \Big )[/tex]
[tex]P(A+C-B) = p \Big (Z \le 0.97014 \Big )[/tex]
[tex]\mathbf{P(A+C-B) = 0.8340}[/tex]
You do not need to show all of your work for this one. But be sure that you can prove your answer is correct!
[tex]\color{plum}m∠ABC = 71° [/tex]
Steps to derive the correct answer :Opposite angles of a parallelogram are equal.Angles on the same side are supplementary.Which means :
m∠ABC = ∠ADC (opposite angles of a parallelogram)
m∠ABC :
= 37° + 34°
= 71°
Thus, the measure of ∠ABC = 71°
Let us find the measures of the other angles as well :
m∠BCD + m∠ADC = 180°
m∠BCD + 71 = 180°
m∠BCD = 180 - 71
m∠BCD = 109°
Thus, the measure of∠BCD = 109°
m∠BCD = ∠BAD (opposite angles of a parallelogram)
m∠BAD = 109°
Thus, the measure of ∠BAD = 109°
Therefore, m∠ABC = 71°
Answer:
109°Step-by-step explanation:
Given isosceles trapezoid AB = CD
Angles B and C are congruent and angles A and D are congruent.
A and B, as well as C and D sum to 180 as supplementary angles, therefore:
m∠ABC = 180° - ∠A = 180 - ∠D = 180° - (34°+37°) = 180° - 71° = 109°please help me, yall :))))
Wyatt’s class is having pizza party. Each group of 3 students eats 1 1/2 pizzas.
all work must be shown and easy to read or follow.
Find the Greatest Common Factor of the Numerator and Denominator
1. 1248
2. 2024
3. 1070
Answer: The answer is two.
Step-by-step explanation: start by making a tree diagram and dividing all three numbers by two. Each number needs to end in whole numbers with no decimals or fractions. 1248 will be 624, 2024 will be 1012, and 1070 will be 535. Then as you keep dividing the only numbers that match together is two on all three as you will get 3 and 13 added to 1248, 11 and 23 added to 2024, and 5 and 107 to 1070. The only numbers that match are two so your answer is two.
HELP ASAP!!!!!!!!.!!!!
Three units to the right of seven is?
Answer:
10 i think
Step-by-step explanation:
Answer:
Notice that distance is always positive or 0. (-3)
Step-by-step explanation:
plz help me I dont know
geometery plz help
9514 1404 393
Answer:
all are No
Step-by-step explanation:
The given triangle is ΔABE, where AB is the hypotenuse and BE is the long side.
In each of the other triangles listed, The first two letters are not the name of the hypotenuse, so none are similar.
_____
Additional comment
The similar triangles would be ΔADB, ΔEDC, ΔBEC, and ΔBDE.
Answer:
all of them are
Step-by-step explanation:
b. Logan continues the game with this clue: “My decimal is 3 hundredths less
than 3 tenths." Use pictures and/or words to show your thinking.
Answer:
Step-by-step explanation:
Three tenths is 3/10 or 30/100 so if we take three hundreds from this it is 27 over hundred ( 27/100).
2) Add 1/3n + 2/3 and -1/6n + 1/6m
Answer:
m/6+ n/3 +1/2
Step-by-step explanation:
PLZ HELP I WILL GIVE BRAINLIST!!!!!!!!!!!!!!!
write an expression equivalent to 6(x + y) + 11 - 5, and state which property you used to write it.
Answer:
6x+6y+6
Step-by-step explanation:Distributive property and adding
Type the correct answer in the box. Figure 1 is similar to figure 2. The height of the cone in figure 2 is centimeters.
On Plato!!!
The height of the cone in figure 2 is 4.5 centimeters.
Similar figureTwo figures are said to be similar if they have the same shape and the ratio of their corresponding sides are in the same proportion.
From the diagram, the two cone are similar. Let h represent the height of the cone in figure 2, hence:
h/3 = 12/8
h = 4.5 cm
The height of the cone in figure 2 is 4.5 centimeters.
Find out more on Similar figure at: https://brainly.com/question/4014697
Answer:
4.5
Step-by-step explanation: