Answer:
n = log([tex]\frac{100}{x^2}[/tex])
Step-by-step explanation:
Take the logarithm of both sides of the equation to remove the variable from the exponent.
Find the value of x?
A.5/2\2
B.5
C.10
D.10/2
Which is the graph of the function f(x) = 1/2x2+2x-6?
Answer:
This is how the graph would look like
Step-by-step explanation:
The graph of the function [tex]f(x) = 0.5x^{2} + 2x - 6[/tex] is attached below.
What is plotting of graph of a function?The graph of the function [tex]f(x) = 0.5x^{2} + 2x - 6[/tex] can be created by plotting a few coordinates that lie on the function.
When x = 0, y = -6
Coordinate = (0, -6)
When y = 0, [tex]0.5x^{2} + 2x - 6 = 0[/tex]
[tex]x^{2} + 4x - 12 = 0\\\\x^{2} + 6x - 2x - 12 = 0\\\\x(x+6) - 2(x+6) = 0\\\\(x-2)(x+6) = 0\\\\x = 2, -6\\[/tex]
Coordinates = (2,0), (-6,0)
Abscissa of vertex of graph = -b/2a = -2
Ordinate of vertex of graph = 0.5 *4 -4 - 6 = -8
coordinate = (-2, -8)
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EASY QUESTION
You are making gift bags for a school party. You have 48 pencils, 80 markers, and 64 stickers. Each gift bag will have the same number of each item. You want to use all of the items.
What is the greatest number of gift bags you can make?
Answer:
i think it is 48 because each gift bag will have the same number of each item,
so if each gift bag has 1 pencil, 1 marker, 1 sticker, we will have the greatest number of gift bags.
Step-by-step explanation:
Answer:
16
Step-by-step explanation:
the greatest common factor of 48,80 and 64 is 16
There were 42 mangoes in each crate. 12 crates of mangoes were delivered to a factory. 4 mangoes were rotten and had to be thrown away. The remaining mangoes were packed into boxes of 10 mangoes each. How many mangoes were delivered to the factory? + Your answer. help asp
Answer:
50 mongoes
Step-by-step explanation:
42 x 12= 504 mangoes
504 - 4 = 500 mongoes
500/10= 50 mongoes
Fast question please help
Uri wants to buy a sweatshirt that costs $16.00. If the tax is 8%, about how much will Uri need to buy the sweatshirt?
O A) $14.72
OB) $16.08
O C) $17.28
OD) $29.30
Answer:
$16.00 * (100% + 8%) = $17.28
(7q - 6) (4q - 5) = 0
Answer:
q=30/31
To find:
q
Step-by-step explanation:
(7q - 6) (4q - 5) = 0
7q(4q - 5) + -6(4q - 5) = 0
7q × 4q - 7q × 5 - 6 × 4q + 6 × 5 = 0
28q - 35q - 24q + 30 = 0
28q - 59q + 30 = 0
-31q + 30 = 0
-31q = -30
q = -30/-31
q = 30/31
hope you understood:))
The Law of Conservation of Mass states:
Question 10 options:
mass can be created but not destroyed
mass can't be created but can be destroyed
mass can't be created or destroyed
mass can be created and destroyed
please help me
Answer:
matter cannot be created or destroyed
Step-by-step explanation:
just read about this in my engineering homework
How do I solve this problem and check all the solutions?
Answer:
x-5=sqrt(2x+5)
then square both sides
x2-10x+25=2x+5
x2-8x+20=0
rest is trivial
Step-by-step explanation:
Answer:
x = 10
Step-by-step explanation:
Given
x - [tex]\sqrt{2x+5}[/tex] = 5 ( subtract x from both sides )
- [tex]\sqrt{2x+5}[/tex] = 5 - x ( divide all terms by - 1 )
[tex]\sqrt{2x+5}[/tex] = x - 5 ( square both sides )
2x + 5 = (x - 5)²
2x + 5 = x² - 10x + 25 ( subtract 2x + 5 from both sides )
0 = x² - 12x + 20 ← in standard form
0 = (x - 2)(x - 10) ← in factored form
Equate each factor to zero and solve for x
x - 2 = 0 ⇒ x = 2
x - 10 = 0 ⇒ x = 10
As a check
Substitute these values into the left side of the equation and if equal to the right side then they are the solutions
x = 2
2 - [tex]\sqrt{4+5}[/tex] = 2 - [tex]\sqrt{9}[/tex] = 2 - 3 = - 1 ≠ 5
Thus x = 2 is an extraneous solution
x = 10
10 - [tex]\sqrt{20+5}[/tex] = 10 - [tex]\sqrt{25}[/tex] = 10 - 5 = 5 = right side
Thus x = 10 is the solution
plz help GET LOTS OF POINTS!!!!!!
The trend line passes through points (2,5) and (6,11). What is the slope of the trend line?
What is the y-intercept of the trend line?
Y=___X +___
Answer:
slope = 3/2
y intercept = 2
y = 3/2x + 2
Step-by-step explanation:
to find the slope you will you (y₂-y₁) ÷ (x₂-x₁)
(11-5) ÷ (6-2) =
6 ÷ 4 = 3/2
slope = 3/2
to find the y intercept you with use the slope intercept formula (y = mx+ b) and use one point given for x and y
for the example im going to use the point (2,5)
5 = 3/2 (2) + b
5 = 3 + b
subtract three from both sides to find b (y-intercept)
b = 2
Very lost on this one! Anyone know?
Answer:
60
Step-by-step explanation:
In this case, all of the sides are equal. All sides should add up to 180 degrees.
x+x+x=180
180/3= 60
What is the domain and range please? Also is it a function?
Answer:
Once again, both are infinite. It is a function.
Step-by-step explanation:
Solve the equation that represents: The difference of five times a number and 6 is -2.
Answer:
5n-6= -2
Step-by-step explanation:
The difference of...... this means its asking us to subtract one number from another number
5 times a number...... that means 5n
6..... since it said DIFFERENCE, it would be -6
is -2........ this means the answer to the equation is -2
So the equation is 5n-6= -2
Hope this helps!
what is the probability that Sophie draws a heart and then rolls either a 4 or 6
Answer:
Step-by-step explanation:
1/12
What is:
5+5(5-5•5)-5 = ?
Answer:
-100
Step-by-step explanation:
Five years ago, John's age was half of the age he will be in 8 years. How old is he now?
The answer would be John is 18 years old
Find X please
36/x=8/7
Answer:
i think x=31.5
Step-by-step explanation:
the answer is x = 31.5
URGENT HELP YALL WITH THIS. I WILL MARK YOU BRAINLIEST
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[tex](9x + 17) +2 \times ( 5x + 15 ) + (6x - 12) = 360 \\ [/tex]
[tex]9x + 17 + 10x + 30 + 6x - 12 = 360 \\ [/tex]
[tex]9x + 10x + 6x + 17 + 30 - 12 = 360 \\ [/tex]
Collect like terms
[tex]25x + 35 = 360[/tex]
Subtract sides 35
[tex]25x + 35 - 35 = 360 - 35[/tex]
[tex]25x = 325[/tex]
Divide sides by 25
[tex] \frac{25x}{25} = \frac{325}{25} \\ [/tex]
[tex]x = 13[/tex]
Thus ;
[tex]RQ \: \: arc =2 \times (5x + 15)[/tex]
[tex]RQ \: \: arc = 10x + 30[/tex]
[tex]RQ \: \: arc = 10(13) + 30[/tex]
[tex]RQ \: \: arc = 130 + 30[/tex]
[tex]RQ \: \: arc = 160°[/tex]
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Please help! It’s already late! Help asap!
Answer:
D
Step-by-step explanation:
Hellppp!!! I need help with the problem that the pencil is pointing ay
Answer:
8/3
Step-by-step explanation:
[tex](-2)^{3}[/tex]÷(-3)
Remember the order of operations,
1. parenthesis
2.exponenets
3. multiplication/ division
4. addition/ subtraction
[tex](-2)^{3}[/tex]÷(-3)
= -8 / -3
= 8/3
-38=-2(n+6)+6(3n+1) Can you please solve marking branlest show work
Answer:
n = -2
Step-by-step explanation:
-38 = -2n -12 +18n +6
-38 =16n -6
-38 +6 =16n
-32= 16n
n=-2
In a bag of coloured jellybeans, the ratio of yellow to orange to red is 6 : 5 : 4. If there are 60 jellybeans in the bag, how many of each colour are there?
Based on the ratio of the jellybeans and the number of jellybeans, the number of each is:
Yellow = 24 jellybeansOrange = 20 jellybeans Red = 16 jellybeansTo find the number of yellow jellybeans:
= Ratio of Yellow/ Sum of ratios x Number of jellybeans in total
= 6 / (6 + 5 + 4) x 60
= 24 yellow jellybeans
Orange jellybeans:
= 5 / 15 x 60
= 20 orange jellybeans
Red jellybeans:
= 4 / 15 x 60
= 16 red jellybeans
In conclusion, there are several colors of jellybeans.
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Help me plzzzzzzzzzzzzzz
Answer:
Step-by-step explanation:
you can't get the answer if you don't know x
Gumballs cost $0.50 each, and jawbreakers cost $0.30 each. Bob has $3.00 to spend on candy. Create an inequality that represents the number of gumballs and jawbreakers Bob can buy.
Answer:8 gumballs 3 jaw breakers
Step-by-step explanation:
Using an inequality to represent the expression and it's constraint, the required expression would be 0.50g + 0.30j ≤ 3
Given the Parameters :
Gumball cost, g = $0.50Jawbreaker cost, j = $0.30Maxumum amount to spend = $3.00(Cost of gumball × number of gumballs + Cost of Jawbreaker × number of gumbreakers) ≤ maximum cost
0.50g + 0.30j ≤ 3
Hence, the required inequality expression is 0.50g + 0.30j ≤ 3
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There were 3 squirrels and 18 acorns on Josh's back porch. What was the ratio of acorns to squirrels? Enter your answer in reduced form.
6:1
18:3
3:18
1:6
Answer:
1/6
Step-by-step explanation:
Caylan is making bakes goose for a charity bake sale ha places a tray of scones a tray of muffing and a tray of cookies in the oven the second bake for 15 the muffins bake for 12 minutes and the cookies bake for 10 minutes when one tray is done he removes it a replaces it with another tray of the same item how many minutes after caylan puts the trays in the oven will he first remove the scones muffins and cookies at the same miinutes
Answer:
Step-by-step explanation:
an hour, or 60 minutes
Answer:
60 minutes
Step-by-step explanation:
i d 1 0 t
what is the shortest possible distance between the houses
Answer:
A.) 8.5 miles
Step-by-step explanation:
I think its a because it says "THE SHORTEST possible" distance between the houses. So A.) 8.5 miles is the correct answer because A.)8 .5 miles is the shortest answer in the list of answers.
Hope this helped.
The shortest distance between the two houses is 13 miles.
What is Pythagoras's theorem?In a right-angled triangle, the sum of the squares of the smaller two sides of a right-angle triangle is equal to the square of the largest side.
By observing the diagram we conclude that the shortest distance is the hypotenuse of the right-angled triangle that will form.
Given, The base is 12 miles and the height is 5 miles.
Therefore by Pythagoras' theorem,
Hypotenuse = √(5² + 12²).
Hypotenuse = √(25 + 144).
Hypotenuse = √(169).
Hypotenuse = 13 miles.
So, The shortest distance between the houses is 13 miles.
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Peter rolls 2 fair dice and adds the results from each.
Work out the probability of getting a total of 11.
Hi please answer urgently
Answer:
5+6=11
So,the probability to get 11 is 5+6
Step-by-step explanation:
Answer:
5 + 6 = 11
Step-by-step explanation:
a dice contains 6 numbers
1, 2, 3, 4, 5 and 6
Peter rolls 2 fair dice and adds the results from each.
So, 5 + 6 = 11
in fraction = 2/11
-TheUnknownScientist
For every 1 litre of water used to make a medicine, 199 ml of sucrose and 47 ml of saline solution are used. Express the amount of water, sucrose and saline solution needed as a ratio in its simplest form.
Answer:
water : sucrose : saline = 1000 : 199 : 271
Step-by-step explanation:
Given Information:
water = 1 litreProcess:
convert everything to mL (same units)1 litre = 1000 mlwater = 1 litre = 1000 mlwater : sucrose : saline = 1000 : 199 : 271The temperature was -5 ℉ in Denver and then fell 8 ℉ by the morning.
The temperature was -15 ℉ im Minneapolis and then rose 9 ℉ in the morning.
At midnight the temperature is -6℃. At midday the temperature is 9℃. By how much did the temperature rise
The temperature is -2℃. If the temperature rises by 15℃, what is the new temperature?
Answer:
The new temperature is 13 degrees Fahrenheit
Step-by-step explanation:
The formula for the circumference of a circle is C=2 nr. What is the radius of a circle with a
circumference of 22 cm?
Answer:
The formula for the circumference of a circle is C = 2πr, where r is the radius and C is the circumference. The equation solved for r is r =c/2π .
Step-by-step explanation: hope this helped!
Answer:
The radius of the circle with circumference 22cm is 3.5 cm
Step-by-step explanation:
The circumference of circumference of a circle is the distance of its closed boundary.
The circumference of a circle with radius r is given by the formula:
[tex]C = 2\pi r[/tex]
Given
C = 22cm
Putting the values in the formula
[tex]22 = 2 * \frac{22}{7} * r\\22 = \frac{44}{7} * r\\r = \frac{7}{44} * 22\\r = \frac{7}{2}\\r = 3.5cm[/tex]
Hence,
The radius of the circle with circumference 22cm is 3.5 cm