Answer:
54266.25
Step-by-step explanation:
Some algae contains up to 50% oil by weight. How much oil is in a 7.3-ounce sample of this type of algae?
Answer:
3.65
Step-by-step explanation:
this is the same as saying
50%of 7.3
which is 3.65
I need help with number 11 and number 12
Answer:
11) 6
12) 3
Step-by-step explanation:
2 log 2 8
so 2(log2 8)
Base 2 so 2^x=8 so 3.
2*3 is 6.
log a a cubed
base a so a^ x = a^3
x=3
so 3.
Hope this helps ;D
Answer:
6 and 3
Step-by-step explanation:
Using the rules of logarithms
log[tex]x^{n}[/tex] ⇔ n log x
[tex]log_{b}[/tex] x = n ⇒ x = [tex]b^{n}[/tex]
[tex]log_{a}[/tex] a = 1
(11)
let 2 [tex]log_{2}[/tex]8 = n , then
[tex]log_{2}[/tex] 8² = n
[tex]log_{2}[/tex] 64 = n
[tex]log_{2}[/tex] [tex]2^{6}[/tex] = n
[tex]2^{6}[/tex] = [tex]2^{n}[/tex]
Since bases on both sides are equal, equate the exponents, that is
n = 6
(12)
[tex]log_{a}[/tex] a³
= 3 [tex]log_{a}[/tex] a
= 3 × 1
= 3
A total of 60 children signed up for hockey there were 3 boys for every 1 girl that signed up how many of the children who signed up for hockey where girls
45 boys and 15 girls
What is an equation of the line that passes through the points (3,4) and (−4,−3)? Put your answer in fully reduced form
Answer:
The equation of the line is y = x + 1
Step-by-step explanation:
The equation of the line is y = m x + b, where
m is the slope of the lineb is the y-interceptThe rule of the slope of the line is m = [tex]\frac{y2-y1}{x2-x1}[/tex] , where
(x1, y1) and (x2, y2) are two points on the line∵ The line passes through points (3, 4) and (-4, -3)
∴ x1 = 3 and y1 = 4
∴ x2 = -4 and y = -3
→ Substitute them in the rule of the slope above to find it
∵ m = [tex]\frac{-3-4}{-4-3}[/tex] = [tex]\frac{-7}{-7}[/tex] = 1
∴ m = 1
→ Substitute it in the form of the equation above
∴ y = 1(x) + b
∴ y = x + b
→ To find b substitute x by 3 and y by 4 in the equation
∵ 4 = 3 + b
→ Subtract 3 from both sides
∵ 4 - 3 = 3 - 3 + b
∴ 1 = b
→ Substitute it in the equation
∴ y = x + 1
∴ The equation of the line is y = x + 1
i need help with this pls
Answer:
Function 1 is linear
Step-by-step explanation:
A linear is a straight line on the graph.
i need help please. thanks!
Answer:
x = 6
General Formulas and Concepts:
Pre-Algebra
Equality PropertiesGeometry
All angles in a triangle add up to 180°Step-by-step explanation:
Step 1: Set up equation
8x + 2 + 70 + 60 = 180
Step 2: Solve for x
Combine like terms: 8x + 132 = 180Subtract 132 on both sides: 8x = 48Divide 8 on both sides: x = 6And we have our final answer!
Please help and give an explanation. I’m struggling
Answer:
y = 1/3x -4
Step-by-step explanation:
The y intercept is -4 as you can see in the graph. To find the slope look at the graph and find where it perfectly intercepts. It goes up one block and to the right three. So the slope is 1/3 . Since the line is going up to the top right it’s a positive slope.
⚠️⚠️What should I change ? And why ? ⚠️⚠️
⚠️look at the photo for mor detailed instructions⚠️
DON’T TROLL and if you don’t know don’t answer
Answer/Step-by-step explanation:
Change the 3rd and 4th input. ALL the input values must be different even if they have the same output values in order to be a function. NONE of the input values should be the same, it just has to be something completely different for it to be correct. It may not be linear, but It will be correct.
PLEASE HELP ME!!!! THIS IS DUE TODAY!!!!!!!!
Answer:
sorry but can you put a picture or a question? thanks :)
Step-by-step explanation:
Factor 20w - 15.
please someone help!
Answer:
5( 4w -3)
Step-by-step explanation:
just pulled out a 5
Answer:
[tex]\huge\boxed{\sf 5(4w-3)}[/tex]
Step-by-step explanation:
[tex]\sf 20w-15\\\\Highest\ Common\ Factor= 5\\\\Take \ 5 \ common\\\\5(4w-3)\\\\This \ is \ the \ required\ factorized \ form\\\\\rule[225]{225}{2}[/tex]
Hope this helped!
~AnonymousHelper1807Work out the area of this trapezium.
15m
6m
10m
Answer:
105m²
Step-by-step explanation:
15+6=21
21÷2=10.5
10.5x10=105
what is (9+8)/(88+77)
Answer:
Exact form: 17/165
Decimal form: 0.103
Step-by-step explanation:
hope this helps :)
Answer:
0.1
Step-by-step explanation:
(9+8)/(88+77)
(17)/(165)
17/165
0.1030303030
0.10
Which is the solution to the inequalit? 1/4 +x less than 5/6
Answer:
x<7/12
Step-by-step explanation:
1/4+x<5/6
1/4+x-1/4 < 5/6-1/4
x<10/12-3/12
x<7/12
I really need help with these two questions ASAP
Answer:
22) 7d+ 4d-23y
=11d -23y
25) =n-6t
what is 55 - 11u =55
-7[-8-4a]=25+a
A. a= -16
B. a=-5
C. a= -11
D. a=-3
Answer:
-1.48148148
Step-by-step explanation:
-7 x -8 = 56
-7 x -4a = 28a
25-56=-31
27a/-31
a=-1.48148148
What are the solutions of the equation X4-9x2 + 8 = 0? Use u substitution to solve.
O x = 1 and x = 2.13
O x=+1 and x=+22
O x= ti and X=
O x = ti and X=25
=+21/2
Answer: the answer is B
Step-by-step explanation:
The solutions of the equation X⁴-9x² + 8 = 0 is ±2√2 and ±1
How to solve equation using substitutionX⁴-9x² + 8 = 0
Let x² = y
Then the equation becomes y² - 9y + 8 = 0
This is in the form ax² + bx + c = 0
We can solve by using quadratic formula for finding roots
x = {-b ± √(b² - 4ac)} / 2a
where,
a = 1, b = -9, c = 8= {-(-9) ± √((-9)2 - 4(1)(8))} / 2(1)
= {9 ± √(81 - 32)} / 2
= {9 ± √49} / 2
= {9 ± 7}/2
= 16/2, 2/2
= 8, 1
y = 8,1
x = ±2√2, ±1
Learn more about equation:
https://brainly.com/question/16863577
Factor completely: 1-1/8p^3
Answer:
the answer is on the picture
Step-by-step explanation:
a = 1 and b = [tex]\frac{1}{2}p\\[/tex]
(1- [tex]\frac{p}{2}[/tex]) [tex]\frac{1}{4}[/tex] (4+ 2p +p^2)
If X=4, is each statement true or false? plsssss helpp me it due today
A. x/4=1
B. -8=2x
C. x exponent 2 = ( -16)
D. -12 = x times (-3)
E. 12=x+ x+ x
F. x + 4 = -8
Answer:
A.True
B.False
C.False
D.True
E.True
F.False
Step-by-step explanation:
A. It's true because 4/4 is 1
B. It's false because 2×4 is 8 not -8
C. x exponent 2, 4 exponent 2 is 16 not -16
D. 4×(-3) is -12 so it's true
E. ×+×+×, 4+4+4 is 12 so again it's true
F. ×+4, 4+4=8 not -8
I think the answers are this!
Jessica and her father are comparing their ages. At the current time, Jessica's father is 24 years older than her l. Three years from now, Jessica father will be five times her age at the point
Answer:
Jessica is currently 3 years old and her father is 27 years old.
Step-by-step explanation:
System of Equations
Let's call:
x = Jessica's age
y = Jessica's father's age.
There are two conditions:
1: Jessica's father is 24 years older than her or, equivalently:
y = x + 24
2: Three years from now, he will have five times her age.
Three years from now, Jessica will have x+3 years, and her father will have y+3 years, thus:
y + 3 = 5( x + 3 )
Substituting the first condition into the second:
x + 24 + 3 = 5( x + 3 )
Operating:
x + 27 = 5x + 15
Subtracting x and 15:
27 - 15 = 5x - x
12 = 4x
Solving:
x = 12 / 4 = 3
x = 3
y = 3 + 24 = 27
y = 27
Jessica is currently 3 years old and her father is 27 years old.
Katy's 4 dogs eat a total of 16 dog biscuits every day. How many biscuits will they eat in 45 days?
180 biscuits
64 biscuits
315 biscuits
720 biscuits
Answer:
720
Step-by-step explanation:
16 times 45
7. What is the solution to 3 (x - 5)= 5x
-5)= 5x - (3 - x)?
Answer:
Why do you have two equal signs in this question?
22
21. Admission to a science museum is $22
for an adult. The cost for a child is $5 less
than the cost for an adult. What would be
the total cost of admission for 12 adults
and 15 children? Explain.
Answer:
519
Step-by-step explanation:
We know the admission for adults is $22, and the kids ticket is 5 less.
22 - 5 = 17
now we know the kids ticket is $17
12 adult tickets - 22 x 12 = 264
15 children - 15 x 17 = 255
264 + 255 = 519
Dina invests £450 in a savings account with annual compound interest.
After five years, there is £534.46 in the account.
What interest rate has she been receiving?
Answer:
3.3%
Step-by-step explanation:
compound interest: A = Pe^(rt)
A = 534.46
P = 450
t = 5
534.46/450 = e^(5r)
e^(5r) = 1.18
lne^(5r) = ln 1.18
(5r)lne = ln1.18
ln1.18 = 5r
5r = 0.165
r = 0.033
or 3.3%
Please help me 100 POINTS!
Answer:
1.y=3x
2.y=-3x+4
3.y=1.5x-7
4.y=7
5.y=-1.5x-4
Step-by-step explanation:
1.m=3,b=0
2.m=-3,b=4
3.m=1.5,b=7
4.m=0,b=7
5.m=-1.5,b-4
hope it helps po
Answer:
see below and attached
Step-by-step explanation:
y=3xm = 3
b = 0
y = -3x + 4m = -3
b = 4
y = -1.5x + 7m = 1.5
b = 7
y = 7m = 0
b = 7
y = -1.5x - 4m = -1.5
b = -4
Jada completed four out of 10 assignments. What is the ratio of completed to end complete assignments in simplest form?
Answer:
48
Step-by-step explanation:
dddd
When Jeremiah looked at his cell phone bill for the month, he saw that he had spent 2/5 of his minutes talking to his mother and 1/5 of his minutes talking to his best friend. What fraction of the minutes did Jeremiah spend talking to either his mom or his best friend?
Answer:
that would be 3/5 minutes
Step-by-step explanation:
Describe what the graph of the sounds at a rock concert look like.
Answer:
The graph would be similar to a Sin or Cos graph with a vertical shift. As the music gets louder the graph will go up and as the music and crowd become quieter, the graph will go down. Going up and down until the end of the concert where it will be 0.
Step-by-step explanation:
This is because the concert music would be loud, causing the sound on the graph to have a steady line.
Hope this helped! :)
The city park is 9 2/5 miles from Roland Elementary School. The city library is 3 3/10 miles from the same school. How much farther from the school is the park than the library?
Answer:
6 1/10
Step-by-step explanation:
just need to find out the difference in the distances
9 2/5 - 3 3/10 = 6 2/5 - 3/10 = 6 1/10
If you would like to venture further, you can check out my Instagram page (learntionary) where I post notes and mathematics tips. Thanks!
Just subtract 3_3/10 from 9_2/5.
Let 3_3/10 be 33/10.
Let 9_2/5 be 47/5.
47/3 - 33/10 =
LCD is 30.
30 ÷ 3 = 10.
10 x 47 = 470
30 ÷ 10 = 3
3 x 33 = 99
We now have (470 - 99)/30.
This becomes (371/30) miles.
You can express (371/30) miles as a mixed number answer if needed.
What expressions are equivalent to 3(4x+3)?
Answer: B, D, E
Step-by-step explanation: Its very easy to check, For B, you notice that it is the same, only the numbers are swapped. In multiplication, this is perfectly fine. For D, I just knew that the answer was 12x+9. And in D, there are 3 4x and 3 threes', so that one was correct. And for E, all you have to do is to multiply accordingly to the distributive property