Answer:
-1/5
Step-by-step explanation:
Perpendicular line is the negative inverse of the straight line.
So 5=-1/5
You use it to form general ideas and rules based on your experiences and ______.
Answer:
You use it to form general ideas and rules based on your experiences and observations
Need help answering this question
Answer:
x=13
Step-by-step explanation:
[tex]g(x)=-4\\[/tex]
Therefore, substituting the value in the equation
[tex]g(x)=\sqrt{x+3} -8\\=>-4=\sqrt{x+3}-8\\ =>-4+8=\sqrt{x+3} \\=>4=\sqrt{x+3}\\[/tex]
Squaring both sides,
[tex]=>4^{2}=\sqrt{(x+3)} ^{2}\\=>16=x+3 \\=> x=16-3\\\\=>x=13[/tex]
You have two pieces for fabric. One piece is 6 feet wide and the other piece is 7.5 feet wide. You want to cut both pieces into strips of equal width that are as wide as possible. How wide should you cut the strips of fabric?
Answer:
Strips should be 1.5 ft wide.
Step-by-step explanation:
Given:
Width of 1st piece = 6 ft
Width of 2nd piece = 7.5 ft
To find:
To find the maximum width possible to make strips of equal size from both the pieces.
Solution:
This problem can be visualized as if we are given two numbers and we have to find the Highest common factor for both of them i.e. HCF of 6 and 7.5 will be our answer.
Let us try to factorize the given factors:
[tex]7.5 = 3 \times 2.5 = \underline {3 \times 0.5} \times 5[/tex]
[tex]6 = 3 \times 2 = \underline {3 \times 0.5 }\times 2[/tex]
The common factors are highlighted above as underlined.
Therefore, the answer is 3 [tex]\times[/tex] 0.5 = 1.5 ft
Strips should be 1.5 ft wide.
(3n+2)(2n–3) find the product simplified
Answer:
6n2−5n−6
Step-by-step explanation:
Answer:
6n^2-5n-6 (btw "6n^2" means its 6n squared )
Step-by-step explanation:
Use the box Method. (Picture shows the box method)
once your done the simplified answer should be 6n^2-5n-6
Solving Equations Study Guide
19.) Nick opens a savings account with $50. Each week after, he deposits $15. In how
many weeks will he have saved $500?
Step 1: Underline any key information
Step 2: Define your variable.
Step 3: Write an equation
Step 4: Solve the equation:
Step 5: Answer in a complete sentence
Answer:
He took 30 weeks to save $ 500
Step-by-step explanation:
Let 'x' be the number of weeks
Money deposited after each week = $ 15
Money deposited 'x' weeks = 15 * x = 15x
Opening balance in his account = $50
So, money that will be in his account after x weeks = 50 +15x
Total money in the bank = $500
50 + 15x = 500
15 x = 500 - 50 { Subtract 50 from both sides}
15x = 450 { Divide both sides by 15}
15x/15 = 450/15
x = 30 weeks
The table below shows the number of minutes Morris practiced playing the trumpet during the past five weeks.
Week Minutes of Practice
1 30
2 40
3 52
4 66
5 82
6 ?
Answer:
6 100
Step-by-step explanation:
i found the answer because if you notice, once it gets to 3 52, 4 66, and 5, 82 it goes up 2 each time. So the answer would be 6 100!
On a certain day, the temperature changed at a rate of -3F per hour. How long did it take for the change in temperature to be -33F
Answer:
11 hours
Step-by-step explanation:
To find how many hours it took, divide -33 by -3
-33/-3
= 11
So, it took 11 hours for the change to be -33°F
Hey I need help anyone willing to help me please . Need help on 3 and 4
Answer:
Please see the attached images for full solution.
For question 3, the equation could have also been 3x°= 90°. However, I used ∠ sum of △ since I didnt want to assume that ∠ABC is a right angle.
Likewise for Q4, the polygon looks like a trapezium which means that the 2 horizontal lines are parallel and one could conclude that (3x +3)° +(2x +2)°= 180° (int. ∠s). But since it wasn't clearly indicated that they are parallel, I used the sum of interior angles to find x instead.
Complete the Equation.
6xy^-2/x^-3 = 6x [ ]^a0 /y^2
Answer:
a0 = 4
Step-by-step explanation:
6xy^-2/x^-3 =6xx^3/y^2 =6x^4/y^2a0 = 4At $1.22 million, they closed last month for...20 percent above what they paid in 2007." How much did they pay in 2007
Answer:
$1.02 million
Step-by-step explanation:
Given
[tex]Amount = \$1.22\ million[/tex]
[tex]\%\ increase = 20\%[/tex]
Required
Determine the amount in 2007
Let the amount in 2007 be represented with x.
The relationship between these parameters is:
[tex]1.22\ million = x + 20\%\ of\ x[/tex]
[tex]1220000 = x + 20\% * x[/tex]
[tex]1220000 = x + 0.20* x[/tex]
[tex]1220000 = x + 0.20x[/tex]
[tex]1220000 = 1.20x[/tex]
Divide both sides by 1.20
[tex]\frac{1220000}{1.20} = x[/tex]
[tex]1016666.67 = x[/tex]
[tex]x = 1016666.67[/tex]
Hence, they paid $1.02 million in 2007
y varies inversely with x, y=12 when x=7. Find y when x =10. Picture attached, 15 points and I'll give Brainliest! Due in two hours.
Answer:
y=8.4
Step-by-step explanation:
inverse proportion means y=k/x
k is the constant
y=12, x=7
k=xy ⇒7*12=84
y=84/x
y=84/10
y=8.4
As y varies inversely with x the value of y is 42/5 when x is 10.
What are ratio and proportion?A ratio is a comparison between two similar quantities in simplest form.
Proportions are of two types one is the direct proportion in which if one quantity is increased by a constant k the other quantity will also be increased by the same constant k and vice versa.
In the case of inverse proportion if one quantity is increased by a constant k the quantity will decrease by the same constant k and vice versa.
Given, y varies inversely with x.
∴ y = k/x.
12 = k/7.
k = 84.
Now, x = 10.
∴ y = 84/10.
y = 42/5.
learn more about proportion here :
https://brainly.com/question/7096655
#SPJ2
what is the answer to 8^-2 =
Answer:
[tex]\huge\boxed{8^{-2}=\dfrac{1}{64}}[/tex]
Step-by-step explanation:
[tex]a^{-n}=\dfrac{1}{a^n}\Rightarrow 8^{-2}=\dfrac{1}{8^2}=\dfrac{1}{8\cdot8}=\dfrac{1}{64}[/tex]
other examples:
[tex]3^{-1}=\dfrac{1}{3^1}=\dfrac{1}{3}\\\\4^{-3}=\dfrac{1}{4^3}=\dfrac{1}{4\cdot4\cdot4}=\dfrac{1}{64}\\\\\left(\dfrac{1}{3}\right)^{-2}=3^2=3\cdot3=9\\\\\left(\dfrac{2}{5}\right)^{-3}=\left(\dfrac{5}{2}\right)^3=\dfrac{5^3}{2^3}=\dfrac{125}{8}[/tex]
Answer:
The answer is
Step-by-step explanation:
15/44
solve each question -15=7n+8n=
Answer:
-15 = 7n + 8n
-15 = 15n
n = -1
plz brainlist me I need it
n = - 1
Step-by-step explanation:- 15 = 7n + 8n
15n = - 15
n = - 15 : 15
n = - 1
What is the inverse of the function f(x) = 2x + 1?
Answer:
1 + 2x = f(x) i believe
Step-by-step explanation:
Answer:
[tex]f^{-1}[/tex](x) = [tex]\frac{x-1}{2}[/tex]
Step-by-step explanation:
let y = f(x) and rearrange making x the subject, that is
y = 2x + 1 ( subtract 1 from both sides )
y - 1 = 2x ( divide both sides by 2 )
[tex]\frac{y-1}{2}[/tex] = x
Change y back into terms of x
[tex]f^{-1}[/tex](x) = [tex]\frac{x-1}{2}[/tex]
Amanda and her best friend found some money buried in a field. They split the money evenly, each getting $24.28. How much money did they find?
Answer:
This is a simple multiplication problem.
If 2 people, Amanda and her best friend divide evenly and each get $24.28, this means that the total is $24.28 x 2
$24.28 x 2
$48.56
I'm sorry if I misunderstood.
Good luck mate! :)
Please add Brainliest if you'd like, not that it matters.
Remember to try your best every day!
Which expression is equivalent to 2(m − 5) + 6?
Answer: 2m-4
Step-by-step explanation:
2(m-5)+6
=2m-10+6
=2m-(10-6)
=2m-4
Hope this helps!! :)
Please let me know if you have any question
Answer:
2m-4
Step-by-step explanation:
2(m-5)+6
=2m-10+6
=2m-4
Evaluate if x = 3, y = 4, and z = 5.*
6(r + y) =
I need help
Answer:
if y=4.then 6(r+4).
which is 6r+24.
and if it is equal to zero which is like this then it will be 6r+24=0.
which will be 6r=-24.
r= -24/6.
r= -4.
the expanded fom of (a-b)²
Answer:
Step-by-step explanation:
[tex](a-b)^{2}[/tex] = [tex]a^{2}[/tex] - 2ab + [tex]b^{2}[/tex]
Hope this helps
plz mark as brainliest!!!!!
which of the elements in set P are irrational
Answer:
-[tex]\sqrt{1}[/tex], [tex]\sqrt{2}[/tex], [tex]\frac{π}{2}[/tex]
Step-by-step explanation:
square roots and pie are irrational.
Translate “four more than twice a number is equal to six less than three times a number”
Answer:
[tex]2n + 4 = 3n - 6[/tex]
Step-by-step explanation:
In order to translate from words into equarion, we just have to know what means what.
Twice a number can be represented as [tex]2n[/tex], adding four to that is [tex]2n + 4[/tex].
3 times a number is [tex]3n[/tex], and 6 less than that is [tex]3n-6[/tex].
So these are equal to each other, we get [tex]2n + 4 = 3n - 6[/tex].
Hope this helped!
Simplify the expression.
16-4 [3+2 divide (9-7)]
Answer:
0
Step-by-step explanation:
16-4 (3+2÷2)
16-4 (3+1)
16-4×4
16-16
0 ans.
Greyson is playing a game. If he picks a red marble he earns 3 points. If he picks a blue marble, he loses 4 points. How many points does Greyson have at the end of 6 turns if he
picks : red, red, blue, blue, blue, red?
Answer:
the answer would be -3 because you would do 9-12 which would be -3
You deposit $3000 in a savings account that earns 2.9% annual interest compounded monthly. You also save $80 per month in a safe at home. Write a function for the total amount of money saved C(t)=b(t)+h(t), where b(t) represents the balance of your savings account and h(t) represents the amount in your safe after t years. Round any decimals to three decimal places.
Answer:
C(t)=3000(1.002417)^12t+960t
if T=1 year then the saving will be : 4048.17
Step-by-step explanation:
3000 deposit amount, 2.9 compound monthly interest . save 80 dollars per month at home .
A=p(1+r)^t
A=3000(1+0.029/12)^12t
A=3000(1.002417)^12t dollars
for the amount saved at home=80*12t=960t dollars
C(t)=3000(1.002417)^12t+960t
if T=1 year then the saving will be :
C(t)=3000(1.002417)^12t+960t
=3088.17+960= 4048.17 dollars
Geneva's younger brother has a toy box that is 3.6 feet
long, 2.4 feet wide, and 1.5 feet high. What is the volume
of the toy box?
Answer:
12.96 ft ³
Step-by-step explanation:
A boat traveled downstream a distance of 54 mi and then came back right back. If the speed of the current was 12 mph and the total trip took 6 hours, find the average speed of the boat relative to the water.
Answer:
18 mph.-
Step-by-step explanation:
This is 2*54 / 6
= 18 m p h.
NEED HELP PLEASE !!!!
Answer:
It's the 3rd answer choice
Given that [tex]f(x)=\frac{3x+4}{5x-7} \\ g(x)=\frac{7x+4}{5x-3}[/tex] . Determine ([tex]g^{-1}[/tex]°[tex]f^{-1}[/tex])and the domain of their product.
Greetings from Brasil...
Solving the inverses of these functions and applying the composite we obtain:
(G⁻¹ о F⁻¹) = X
Note that (F⁻¹ о G⁻¹) also results in X (see second annex)
A
5
B
3
4
С
Find tan(B) in the triangle.
Answer:
Step-by-step explanation:The tangent of an angle is the trigonometric ratio between the adjacent side and the opposite side of a right triangle containing that angle. Example: In the triangle shown, tan(A)=68 or 34 and tan(B)=86 or 43 .
Given two sides
if leg a is the missing side, then transform the equation to the form when a is on one side, and take a square root: a = √(c² - b²)
if leg b is unknown, then. b = √(c² - a²)
for hypotenuse c missing, the formula is. c = √(a² + b²)
Answer:
it’s 3/4
Step-by-step explanation:
it’s right for khan (trigonometric ratios in right triangles)
11. When you multiply two decimals less than 1, how does the product compare to the factors?
Illustrate with an example.
Answer:
The product is usually smaller than the two numbers multiplied
Step-by-step explanation:
When we multiply two decimals less than one, it is a certainty that the result of the multiplication would be less than the two decimals that were multiplied. An example is the multiplication of the decimals below;
0.958 * 0.325
which equals 0.31135
We can see from the example above that the result of the multiplication of the two decimals that are less than one, results in a product that is less than the factors that were multiplied.
are integers rational numbers
Answer:
yes
Step-by-step explanation:
Here's a chart that should help explain things a bit better.