Answer:
10(3)^x
Step-by-step explanation:
The function contains the points (2,90) and (4,810). Use the general form y=abx to write two equations:
90=ab^2 and 810=ab^4
Solve each equation for a:
a=90/b^2 and a=810/b^4
Since a=a, set the other sides of the equations equal and solve for b.
90/b2=810/b4
Cross multiply, then divide and simplify as follows:
90b^4=810b^2
b^4/b^2=810/90
b^2=90
b^3
Now, use the value of b and the point (2,90) to find the value of a.
90=a(3^2)
a=10
So, substitute answers in original equation for a final answer of f(x)=10(3)^x.
1 point
1.
The slide at the playground has a height of 6 feet. The base
of the slide measured on the ground is 8 feet. What is the
length of the slide?
Answer:
The length of the slide is 10 feet.
Step-by-step explanation:
To find the length of the slide you have to use the formula:
a^2 + b^2 = c^2 (^2 means squared)
In this case:
a= 6 and b=8 c= unknown
6 squared (6 times 6) is 36
8 squared (8 times 8) is 64
Add these two numbers to get:
36+64=100
6^2+8^2=100
However, the length of the slide in not 100 feet. In order to find the correct length you must find the square root of 100. Which is 10.
What number times itself equals 100? 10.
The length of the slide in 10 feet.
round 8.99 to 1 decimal place
Answer:
9.0
Step-by-step explanation:
an easy way to remember this is "5 or above give it a shove, 4 or below, let it go"
[x = -4y] [3x + 2y = 20] *
Hi there! Hopefully this helps!
-----------------------------------------------------------------------------------------------------------
Answer to solving for y: y = -2.
Answer for simplifying the expression: -12y - 4.
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
We are given that x = -4y and that the equation is 3x + 2y = 20.
We need to evaluate.
3x + 2y = 20
||
\/
3(-4y) + 2y = 20.
To solve for y, y = -2.
||
\/
3(-4y) + 2(-2) = -12y - 4.
Answer:
y= -2 x=8
Step-by-step explanation:
3 (-4y)+2y=20
-12y+2y=20
-10y=20
y= -2
x= -4 (-2)
x=8
find the radius of the sphere with a volume of 32/81 π cubic yards. Write your answer as a fraction in simplest form.
Answer:
Step-by-step explanation:
The radius of the sphere with a volume of 32/81 π cubic yards is 2/3 yards. This is found by equating the given volume to the volume of a sphere formula and solving for the radius step-by-step.
To find the radius of a sphere given its volume, we can use the formula for the volume of a sphere, which is V = (4/3)πr³. In this case, we have the volume V= 32/81 π cubic yards. We need to solve for r (the radius).
First, we set the given volume equal to the volume formula:
32/81 π = (4/3)πr³
To solve for r³, we divide both sides by (4/3)π:
r³ = (32/81 π) / ((4/3)π) = (32/81) / (4/3) = 32/81 * 3/4 = 32/108 = 8/27
Now, to find r, we take the cube root of both sides:
r = ³√(8/27)
Since ³√8 = 2 and ³√27 = 3, the radius r is 2/3 yards.
What is 2(log38+logzz)-log3(34 – 72) written as a single logarithm?
To simplify the given expression, we can use the properties of logarithms. By using the product, power, and quotient rules of logarithms, we can combine the terms and simplify the expression into a single logarithm.
Explanation:To simplify the given expression 2(log(38) + log(zz)) - log3(34 - 72), we can use the properties of logarithms.
Start by using the product rule of logarithms to combine the terms inside the parentheses: log(38zz).Now, use the power rule of logarithms to bring the exponent out as a coefficient: log(38) + log(zz).Next, apply the quotient rule of logarithms to subtract the logarithm of the denominator: log(38) + log(zz) - log3(-38).Finally, simplify the expression: log(38zz/(-38)).This is the single logarithm form of the given expression.
Learn more about Single logarithms here:https://brainly.com/question/35584016
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Pleaseeee help
Lung cancer kills about 3,000 people per day. If 90% of the deaths from lung cancer are attributed to smoking, what is the rate of people who die from smoking each day?
Answer:
2700 people die every day from llung cancer that was caused by smoking.
Step-by-step explanation:
Answer:
2700 people
Step-by-step explanation:
10% of 3000 is 300. 300x9=2700
Is there like a answer for the Edgen semester 1 final test.
Answer:
yes
Step-by-step explanation:
Answer: yes
Step-by-step explanation:
Which of the following is equivalent to 180 centimeters?
Choose 1 answer:
0.18 meter
1.8 meters
18 meters
18,000 meters
180,000 meters
HELP ME OUT ASAP !!! PLEASEEEEE
Answer:
1.8 meters there are 100 cm in every meter.
Step-by-step explanation:
By combining with the name of the unit the prefixes deka, hecto, and kilo meaning, respectively, 10, 100, and 1000, and deci, centi, and milli, meaning, respectively, one-tenth, one-hundredth, and one-thousandth
Determine the slope
2y-4x=1
Answer:
2
Step-by-step explanation:
The equation is mx+b=y
The equation is not simplified yet.
2y-4x=1
Add 4x to both sides
2y=1+4x
Divide by 2
1/2+2x
For this just identify. M=slope. The number next to the x is 2. So the answer is 2
Answer:
Slope is 2: y = 2x + 1/2
Step-by-step explanation:
2y - 4x = 1
+ 4x + 4x (Add 4x to both sides to leave y by itself on one side)
------
2y/2 = 4x/2 + 1/2 (Divide both sides by 2 in order to leave y with no coefficient)
y = 2x + 1/2
If you work salary $12.75/hr how many money will you get.
Answer:
12.75
Step-by-step explanation:
Answer:
You will get $12.75 per hour. Just multiply 12.75 by each hour, if there is more than 1 hour.
Can someone help me with this?
Which statement is true about the expression 4 (9 + 6)?
The expression has two factors.
The expression has one variable.
The expression has two variable terms.
The expression has three coefficients.
Answer:
The expression has 2 factors
Step-by-step explanation:
Based on what you have learned about Malala’s viewpoints and setting, why is a blog a good way for Malala to speak up? Write two to four sentences explaining your answer.
Sample Response: Malala lived in the Swat Valley, which was taken over by the Taliban. Using a blog was a good way for her to let people all over the world know that she disagreed with the Taliban's view of girls' education. Even though she lived in a small and faraway city, the blog gave her a huge audience that she could reach at the click of a button.
Evaluate the expression. 18 + 12 ÷ 6 • 2
Answer:
22
Step-by-step explanation:
PEMDAS
12/6 = 2
2 * 2 = 4
18 + 4 = 22
plz give brainliest
Answer:
I think the answer is 22
But I'm not 100% sure :( (:
help please with point slope equation. picture of the Answers and question above
Answer:
B
Step-by-step explanation:
The slope would be the same becasue the lines are parellel.
y − y1 = m(x − x1)
that is the formula for point slope form
Marty was paying off a television that he bought on layaway, which means he has to pay it off over a period of time. Marty made 3 upfront payments over three weeks. One week he paid $20, next week $30, and the next week $40( remember he paid some money already). The total cost of the tv was $690. He will now make monthly payments to pay off the rest that he owes. If he has another 12 months to pay it off, how much will he have to pay per month?
Answer:
he needs to be paying $60 per month
Step-by-step explanation:
please kindly check the attached files for explanation
Someone gave me a riddle to solve if anyone wants to help me out for 25 points i’d appreciate it:)
It appears the first two digits in the code is the two digits out front multiplied together. The next digit or two are the sum of the two numbers. The last number or two is the difference.
7x3 = 21
7+3 = 10
7-3 = 4
(7)(3) = 21104
It's the same process for the (9)(4) = 36135
So for (8)(5) would be:
8x5=40
8+5=13
8-5=3
(8)(5)= 40133
Answer:
40133
Step-by-step explanation:
Basically,
The first 2 digits you multiply 8 and 5. Which is 40. Then you add 8 and 5 which is 13. Then subtract 8 and 5 which is 3.
So putting them together you get 40133
Use the net to find the surface area of the rectangular prism. A) 168 units2 B) 192 units2 C) 220 units2 D) 224 units2
Answer:Enter any 3 variables for a rectangular prism into this online calculator to calculate the other 3 unknown variables. A cube is a special case where l = w = h for a rectangular prism.
Units: Note that units are shown for convenience but do not affect the calculations. The units are in place to give an indication of the order of the results such as ft, ft2 or ft3. For example, if you are starting with mm and you know h, l and w in mm, your calculations will result with d in mm, S in mm2 and V in mm3.
Step-by-step explanation:
Answer:
on usatestprep it is D
Step-by-step explanation:
XYZ and WYZ are non overlapping angles that share a ray and form XYZ. WYZ has a measure of 32"". XYW has a measure of 112*. What is the measure of XYZ?
Answer: XYZ = 144 degree
Step-by-step explanation:
The non overlapping angles are said to be adjacent angles of a common vertex and a common side but do not overlap.
If WYZ has a measure of 32 degree.
And XYW has a measure of 112 degree
Then, the measure of XYZ will be
XYZ = WYZ + XYW
XYZ = 32 + 112
XYZ = 144 degree
Solve for b. 9000-b=-11,000+b
Answer:
b=10,000
Step-by-step explanation:
[tex]9,000-b=-11,000+b[/tex]
Regroup terms
[tex]9,000-b=b-11,000[/tex]
Add b to both sides
[tex]9,000-b+b=b+b-11,000\\9,000=2b-11,000[/tex]
Add 11,000 to both sides
[tex]9,000+11,000=2b-11,000+11,000\\9,000+11,000=2b[/tex]
Simplify by adding
[tex]20,000=2b[/tex]
Divide both sides by 2
[tex]\frac{20,000}{2}=\frac{2b}{2}\\ \\10,000=b[/tex]
Switch sides
[tex]b=10,000[/tex]
Done.
Answer:
b=10000
Step-by-step explanation:
add b on both sides
9000=-11000+2b
add -11000 on both sides
20000=2b
divide by 2 on both sides
b=10000
X and y vary inversely. If x is 3 when y is 12, find the equation to model this situation
Answer:
[tex]x = \dfrac{36}{y}[/tex]
Step-by-step explanation:
We are given the following in the question:
x and y vary inversely.
[tex]x\propto \dfrac{1}{y}[/tex]
Removing the sign of proportionality and adding the constant of proportionality, we get,
[tex]x = k\times \dfrac{1}{y} = \dfrac{k}{y}[/tex]
where k is the constant of proportionality.
When x = 3, y = 12
Putting these value in the equation, we get,
[tex]3 = \dfrac{k}{12}\\\\\Rightarrow k = 12\times 3 = 36[/tex]
Putting value of k, we get,
[tex]x = \dfrac{36}{y}[/tex]
which is the required equation to model the given situation.
Can you guys help please I’ll give brainliest
Answer:
The admission fee for the movies is 1.7$ per group.K amount of people buy popcorn,which is 3 dollars each.You end up spending 18.2$.How much people did you bring in your group?
Step-by-step explanation:
Can you help me please
Answer:
5/9
Step-by-step explanation:
2/3 - 1/9 = 5/9
Answer:
5/9
Step-by-step explanation:
Find the sum -6/13 - (-7/15)
So the answer is 1/195.
Look at the attached picture⤴
Look at the attached picture⤴Hope it will help u....:)
Answer:
1/195
Step-by-step explanation:
-12| - |8| =
answer choices
A) -4
B) 4
C) -20
D) 20
Answer: -4
Step-by-step explanation: Hopefully I put the right answer, the question is worded a bit weird, if it's not please let me know.
-12 - 8 = -4
It's still negative because the positive number is not equal nor greater than the negative number so it's still negative.
Find the fourth roots of 256(cos 280° + i sin 280°)
Answer: r(cosx+isinx)
r^(1/n)(cos(x/n)+isin(x/n))
256^(1/4)(cos(280/4)+isin(280/4))
4(cos70+isin70)
Step-by-step explanation:
2(5 - x)>8 solve for x
Answer:
x < 1
Step-by-step explanation:
To solve for x, we need to get x by itself
2(5 - x)>8
Distribute the 2
2*5 -2*x >8
10- 2x >8
Subtract 10 from both sides
10-10 -2x >8 -10
-2x > -2
Divide both sides by -2
-2x/-2> -2/-2
Since we divided by a negative number, we must flip the inequality sign
x < 1
Answer:
x < 1
Step-by-step explanation:
Given
2(5 - x) > 8 ( divide both sides by 2 )
5 - x > 4 ( subtract 5 from both sides )
- x > - 1
Multiply both sides by - 1, reversing the symbol as a result of multiplying by a negative quantity.
x < 1
You are designing a circular path surrounding a circular pond. The pond has a diameter of 90 feet. The path is 15 feet wide. (the outer edge of the path is 15 feet from the edge of the pond.) What is the area in square-feet of the path?
Answer:
The area of the path is 11,304 square feet.
Step-by-step explanation:
Please see the attached files for details
answered
3x2 – 41x = -110
use quadratic formula
Answer: x=10 and x= 3.66667
Step-by-step explanation:
you would need to at 110 to both side to get c before you can solve the quadratic formula, once you have done that you should get 3x2-41x+110=0 than you can now put it in to the formula(-b[tex]\frac{-b(+-)\sqrt{b^{2-4ac} } }{2a}[/tex]) which will now be [tex]\frac{-(-41)(+-)\sqrt{41^{2-4(3)(110)} } }{2(3)}[/tex] than solve [tex]\frac{41(+-)\sqrt{1681-1320} }{6}[/tex] now combined to get [tex]\frac{41(+-)\sqrt{361} }{6}[/tex] the discriminant [tex]b^{2}[/tex]-4sc > 0 so there are two real roots which are, [tex]x= \frac{41(+-) 19}{6}[/tex] simplify the radicals, x [tex]\frac{60}{6}[/tex]= and x = [tex]\frac{22 }{6}[/tex] that will turn into x = 10 and x= 3.66667
The advertised price of a cell phone was $99.99 after a $50 mail-in rebate. What is the price of the cell phone before the rebate is applied?
Answer:
149.99
Step-by-step explanation:add 50
Answer:
$149.99
Step-by-step explanation:
The price of the phone is $99.99 after the rebate, so we have to add the rebate back on to find the original price.
99.99+50
149.99