Answer:
y = 5x - 32
General Formulas and Concepts:
Pre-Algebra
Distributive PropertyAlgebra I
Equality Properties
Slope-Intercept Form: y = mx + b
m - slope b - y-interceptStep-by-step explanation:
Step 1: Define
[Point-Slope Form] y - 3 = 5(x - 7)
Step 2: Rewrite
Distribute 5: y - 3 = 5x - 35Isolate y: y = 5x - 32Find the value of each variable
Answer:
x = 17[tex]\sqrt{3}[/tex]
y = 17
Step-by-step explanation:
You would need to use the following trigonometric functions cosine and sin. Sin is used for the y-variable to get the answer and cosine is used for the x-variable to get the answer. For this case, you would need to do 34 sin 30 for y and 34 cos 30 for x. You should get 17 for y and 17 root 3 for x when you put it in the calculator.
The value of each variable are,
x = 17√3
y = 17
We have to give that,
A triangle is shown in the image.
Now, from the triangle we get;
cos 30° = x/34
Solve for x,
√3/2 = x/34
Cross multiply,
34√3 = 2 × x
2x = 34√3
x = 17√3
And, We get;
⇒ sin 30° = y/34
⇒ 1/2 = y/34
Cross multiply,
⇒ 34 = 2y
⇒ y = 17
Hence, the value of each variable is,
x = 17√3
y = 17
To learn more about the triangle visit;
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plzzzzzzzzzzzzzzzzzzzzzzzzz
Answer:
4x⁵ z⁸
Step-by-step explanation:
hope it helps!
.......
Answer:
4 x^5 z^8
Step-by-step explanation:
To make it easy I am categorizing this in two groups. One is (xz^3), late us name it A and the other is after the multiplication sign that is (4x^4z^5) which we are naming B. Now 4 from b multiplies 1 from a(as there is no number which means there must be 1). In multiplication of power of bases we have to add the powers which means x from a × x^4 from b= x from a's power 1 + x from b's power 4=x^5 and repeating same process in case of z resulting in z^5.
Hence the above mentioned ans comes...
Hope this helps you
dhsshdhjdjdjdjdndjcixhxbxnxxxi
Answer:
(3x + 4)²Step-by-step explanation:
1) Your number = x
2) Multiply it by 3 = 3x
3) Add 4 = 3x + 4
4) Square the result (quantity square) = (3x + 4)²
I hope this helps! I would really appreciate it if you would please mark me brainliest! Have a blessed day!
Elwood invested $5,000 in a money market account and has been tracking its progress. He found that after 3 years, the account held $7,100 and after 8 years, the account held $10,350. Use this information to complete the statements. Over the first 3 years, the value of the account increased at ___ over the last 5 years. Over the entire 8 years, the value of the account increased at an average rate of approximately $___ annually.
Answer:
Given:
Principal= $5,000
After 3 years, Amount= $7,100
After 8 years, Amount= $10,350
Step-by-step explanation:
Interest after 3 years= $7,100- $5,000
=$2,100
Interest in last 5 years= $10,350- $7,100
=$ 3,250
Difference between first 3 years and last 5 years= $3,250- $2,100
=$1,150
Amount= Principal*[tex](1+r/100)^{t}[/tex]
10,350=5000[tex](1+r/100)^{8}[/tex]
[tex]\frac{10350}{5000}[/tex]=[tex](1+r/100)^{8}[/tex]
2.07=[tex](1+r/100)^{8}[/tex]
[tex]2.07^{1/8}[/tex]=1+[tex]\frac{r}{100}[/tex]
1.095-1=[tex]\frac{r}{100}[/tex]
0.095*100=r
r=9.5%
Average rate=[tex]\frac{5000*9.5*1}{100}[/tex]
=$475
Answer:
drop down 1 a slower rate per year
drop down 2 670
Step-by-step explanation:
as in three years you get $7100
you take that and subtract it by your starting amount (5000)
7100-5000= 2100
then divide 2100 by the number of years (3)
to get your annual rate of 700$
then you take the 8 year total and subtract it from your 3 year total
10350-7100= 3250
Then divide that by 5 because that how many years it has been
to get the annual rate of 650
making the 5 year rate slower.
The to find the average rate over all 8 year you take 10350 and subtract it from your starting number 5000
10350-5000= 5350
then take 5350 and divide it by the number of years (8)
you then get you average rate of 668.75
668.75=670
Hope this helps!
Ernesto measured the height of a door frame as 6.35 feet, but the actual height was 6.5 feet. What is the percentage of error in Ernesto's measurement? (5 points)
a
2.31%
b
1.98%
c
2.36%
d
2.02%
Answer:
A or B
Step-by-step explanation:
sry if im wrong-happy new year!
help me find the answer lol
Answer:
First/Top graph.
Step-by-step explanation:
First, we need to solve the inequality for n:
-6n + 5 < 11 (Given)
-6n < 6 (Subtracted 5 on both sides)
n > -1 (Divided -6 on both sides)
NOTE: Whenever you multiply or divide by a negative number when dealing with inequalities, the sign switches.
Now that we know that n > -1, we need to look for a graph that has an open circle on the point -1 and goes in the right direction.
Therefore, the first graph is the correct answer.
Ayana's chemistry class is exploring how the weight and volume of everyday objects are related. For her first experiment, Ayana gently drops a brick into a beaker filled with water. The volume increases by 2 liters, so now she knows the volume of the brick. Then, she uses its density to make a prediction about its weight in kilograms. If the density of brick is approximately 2 grams per milliliter, what should Ayana's prediction be?
Answer: In the custom setting, choose the ‘My Object’ option in the material drop down box. Set the mass of your object to 4 kg. Adjust the volume to find the minimum volume needed to make the object float.
Volume________4.09_L________ Density__________.98 kg/L________
2. How does the density of a large piece of aluminum compare to a small piece?
Step-by-step explanation:
Tom paid $2.50 for two pounds of boiled peanuts. Rose paid $9.50 for 8 pounds of boiled peanuts. Is the relationship between these two purchases proportional?
How are the areas of triangles and parallelograms in the coordinate
plane calculated?
Answer:
___________________________________________________________
By finding the product of a point's x coordinate times the next point's y coordinate, then subtracting the y coordinate of the first point times the x coordinate of the second coordinate and dividing by two, you will find the area of the polygon.
___________________________________________________________
Write as a single fraction in its simplest form
(2x-1/3) - (2/x+1)
With steps plz :))
[tex](2x - \frac{1}{3} ) - ( \frac{2}{x} + 1)[/tex]
[tex]2x - \frac{1}{3} - \frac{2}{x} + 1[/tex]
[tex](2x - \frac{2}{x} ) + ( - \frac{1}{3} + 1)[/tex]
[tex] (\frac{2 {x}^{2} }{x} - \frac{2}{x} ) + ( \frac{ - 1}{3} + \frac{3}{3} )[/tex]
[tex] \frac{2 {x}^{2} - 2 }{x} + \frac{ - 2}{3} [/tex]
We want to write the given expression as a single fraction. We will get the fraction:
[tex]\frac{6*x^2 - 4*x - 6}{3*x}[/tex]
Rewriting the expression.
So we start with the expression:
[tex](2*x - \frac{1}{3}) - (\frac{2}{x} + 1)[/tex]
First, let's rewrite each of these parenthesis as fractions, we need to have the same denominator in all the terms, then in the first one we can multiply and divide by 3 (and in the second one we can do the same but with x) so we get:
[tex](\frac{3}{3} *2*x - \frac{1}{3}) - (\frac{2}{x} + 1*\frac{x}{x} )\\\\(\frac{6*x}{3} - \frac{1}{3}) - (\frac{2}{x} + \frac{x}{x} )\\\\\frac{6*x - 1}{3} - \frac{2 + x}{x}[/tex]
Now we must multiply and divide the left term by x, and the right term by 3, so we get:
[tex]\frac{x}{x} \frac{6*x - 1}{3} - \frac{2 + x}{x}*\frac{3}{3} \\\\\frac{6*x^2 - x}{3*x} - \frac{6 + 3x}{3*x} = \frac{6*x^2 - x - 3x - 6}{3*x}\\\\\frac{6*x^2 - 4*x - 6}{3*x}[/tex]
This is the fraction in its simplest form.
If you want to learn more about fractions you can read:
https://brainly.com/question/11562149
Please help!!!!!!!!!!!!!!!
Answer:
x = 48.59 degrees
Step-by-step explanation:
Do sin-1(12/16) and put it in a calculator. After that, you will get your final answer as 48.59 degrees. This requires sin because the opposite angle is 12 for x. The adjacent angle is something else.
Help... with number 15 plz
Answer:
P
Step-by-step explanation:
p is the ans
PLEASEEEE please please help me with thissss ill luv u forever!!
Answer:
Hello,I don't think anyone can help you as your question is not there only the subquestions are. Kindly post the main question for assistance.
Regards
What value of x makes the equation true?
-7x-5=-10x-26
Please show work
Answer:
-7
Step-by-step explanation:
-7x-5= -10x-26
-7x= -10x-21
3x= -21
x=-7
What is a correct name for the angle shown?
Answer:
SRT
Step-by-step explanation:
Answer:
obtuse angle
Step-by-step explanation:
a L is a right angle, a right angle is 90 degrees. if the angle is more then 90 degrees and looks like its being stretched it is obtuse. and if it is smaller then 90% and looks like it is being squashed it an acute angle.
Pleassse HELP WILL GIVE BRAINLIEST
Darrell bought an 80 pound bag of dog food. If ⅝ of a pound are used to
feed the dog each day, how many days will the bag of dog food last?
Answer:
The 80 p0und bag will last 128 days.
Step-by-step explanation:
In order to find out how much days the 80 pound bag last we have to divide the 80 pounds by the among that the dog eats each day. And so we get.....
80 / [tex]\frac{5}{8}[/tex] = [tex]\frac{80}{1} / \frac{5}{8}[/tex] = [tex](\frac{80}{1})(\frac{8}{5})[/tex] = [tex]\frac{640}{5}[/tex] = 128
Answer:
For some reason my answer got deleted.
The dog food will last 128 days,
Step-by-step explanation:
80 ÷ 5/8 = 128
Since 5/8 is being used each day, you divide.
I hope this helped and if it did I would appreciate it if you marked me Brainliest. Thank you and have a nice day!
Helplsieedgoodgradeplspls
Answer:
He would need to walk the dog 6 more times because 8 times 11 is 88 and if he has already walked the dog 5 times you would subtract that from 11 to get 6. So the answer would be 6
Step-by-step explanation:
8·11= 88
11-5= 6
A piano teacher gives lessons that are each Three-fourths hour long. How many piano lessons can the teacher fit into a 12-hour work day? Assume no breaks are taken in the 12 hour period.
Answer:
16 lessons
Step-by-step explanation:
12 divided by .75 = 16
Answer:
16
Step-by-step explanation:
The product of a negative number and zero is?
Answer:
0
Step-by-step explanation:
Eg:
-5*0=0
-1*0=0
rewrite 16r^2 8^2 as a power of a product
Answer:
(32r)²Step-by-step explanation:
Use of the formula aⁿbⁿ= (ab)ⁿ
16r²×8² = 4²r²×8² =(4r×8)² =(32r)²Corrado has 27 books in his room that he has already read. He wants to give them away to his 3 younger siblings. How many books will each of Corrado's siblings receive?
If b represents the number of books each sibling receives, which equation could be used to solve the problem?
Answer:
3b = 27
Step-by-step explanation:
They will each receive 9 books
Samuel and Joyce both bought CDs. Samuel bought 3x CDs and Joyce bought 2x-1 CDs. If each CD had a Regular price of $18 and a discount of $2. What is the expression for the COST of their CDs, combined?
Answer:
2(5x – 1)
Step-by-step explanation:
Alex helps his father milk cows on their dairy farm. They are paid $2.25
per gallon of milk, that they get from their cows. Together, Alex and his
father are able to milk 12 gallons over a 2-hour period. How much money
could Alex and his father expect to earn if they worked for 10 hours?
А
$22.50
B
$54.00
C
$135.00
D
$270.50
What is x if: x ÷ 0.6 = 1 2/3
Answer:
x = 1
Step-by-step explanation:
Rewrite the equation to get x/0.6 = 5/3, since the division sign is the same thing as a slash sign and that 1 2/3 is equivalent to 5/3. Multiply 0.6 on both sides to get 1 as your final answer.
Answer:
1
Step-by-step explanation:
0.6 times 1 2/3 is 1. in that case, 1 divided by 0.6 is 1.66666666667, also known as 1 2/3 making x = 1
Please help I’m in finals and I have to complete all my missing assignments
Answer:
Between 3 and 3.5
Step-by-step explanation:
more than 9 and less than 16. 9 is closer to 10 making it c.
The equation modeling the population growth of a small town is P(t)=30000(1.02)^t, where P represents the population, and t represents the years from now. What is the approximate population change that occurs between 2 years from now and 10 years from now.
Answer:
5358
Step-by-step explanation:
The equation modeling the population growth of a small town is given as:
P(t)=30000(1.02)^t
When t = 2
P(2) = 30000(1.02)^2
P(2) = 31212
When t = 10
P(10) = 30000(1.02)^10
P(10) = 36569.8326
The approximate population change that occurs between 2 years from now and 10 years from now is calculated as:
= P(10) - P(2)
= 36569.83259984272 − 31212
= 5357.8325998
Approximately ≈ 5358
Ruffles Boutique brought a leather jacket from a wholesale distributor for $140. The story markup on this item is 220%. What is the selling price for the jacket?
Sell price = purchase price x Mark up
Sell price = 140 x 220%
Sell price = 140 x 2.2 = 308
Sell price = $308
can someone plz help me with this
i give u a brainllest
Answer:
it is a and b because you have to do step by step
Which equations represent functions?
2x + 3y = 10
4x = 16
2x − 3 = 14
3y = 18
14.6 = 2x
Answer:
e represent a fraction happy to help
The young wizard, Darpinido, got 16 dragons and 12 griffins for his birthday. But his sister, In grid, left the gate open and more a=than 6 dragon and more than 3 griffins flew away. Now the young wizard has more griffins than dragons. What is the greatest number of dragons Darpinido could have now?
Answer:
7 Dragons.
Step-by-step explanation:
16 dragons 6+ dragons gone
12 griffins 3+ griffins gone
Let's say one more than 3 griffins are gone: 4 griffins are gone.
Then:
Griffins now = 8
Dragons now = <8
One less than 8 dragons is 7 dragons.
In the end, 4 griffins and 9 dragons had left.