Answer:
64 tea bags for 9.28
Step-by-step explanation:
find the value of log9 0.24. (hint: log2=0.301 log3=0.477)
Answer: -0.65 approximately
Work Shown:
[tex]\log_{9}(0.24) = \frac{\log(0.24)}{\log(9)}\\\\\log_{9}(0.24) = \frac{\log(0.03*8)}{\log(3^2)}\\\\\log_{9}(0.24) = \frac{\log(3*10^{-2}*2^3)}{\log(3^2)}\\\\\log_{9}(0.24) = \frac{\log(3)+\log(10^{-2})+\log(2^3)}{\log(3^2)}\\\\\log_{9}(0.24) = \frac{\log(3)-2\log(10)+3\log(2)}{2\log(3)}\\\\\log_{9}(0.24) \approx \frac{0.477-2*1+3*0.301}{2*0.477}\\\\\log_{9}(0.24) \approx \frac{-0.62}{0.954}\\\\\log_{9}(0.24) \approx -0.649895\\\\\log_{9}(0.24) \approx -0.65\\\\[/tex]
Find the least common multiple of 8y^2 and 7m
Answer: [tex]56y^2m[/tex]
which is the same as writing 56y^2m
====================================================
Explanation:
Let's focus on the coefficients 8 and 7 for now.
To find the LCM of those values, list out the multiples. Circle the smallest number that can be found in both sets at the same time.
multiples of 8 are: 8, 16, 24, 32, 40, 48, 56, 64, ...multiples of 7 are: 7, 14, 21, 28, 35, 42, 49, 56, 63, ....We see that 56 is the LCM of 7 and 8.
Or you could use this shortcut
LCM = (x*y)/GCF
where x and y are the two numbers. The mention of "GCF" refers to the GCF of x and y. In this case, the GCF is 1 so,
LCM = (x*y)/GCF = (8*7)/1 = 8*7 = 56.
----------------------
Once we determine that, we look at the variable terms now.
The y^2 and m will be tacked onto the 56 to arrive at the final answer 56y^2m
This is because y and m are the unique variables, and we go for the highest exponent of each. It's similar to the LCM formula used earlier.
What is 14ab+10a written in factored form?
Answer:
2a(7b+5)
Step-by-step explanation:
yeah-ya....... right?
Write the expression for the following situation: Roger has 5 toy cars. His sister gives
himxmore for his birthday. He wants to find his totd
Suppose your family lives in Muntinlupa City (one of the West Valley Fault Line area) and decided to move in to the work place of your father in Teresa, Rizal which is approximately 50 km apart, if renting a van costs an initial amount of 4000php for maximum of 30km and an additional payment of 200php for every 5km, how much will your father pay in renting a van from Muntinlupa City to Teresa, Rizal? {attach only 1 picture of your table/answer}
Step-by-step explanation:
it is 50 km in total.
30 km are already covered by the initial rental amount (4000).
what is left is 50-30 = 20 km.
for these 20 km he has to pay 200 for every 5 km.
how many 5 km units are in 20 km ?
well, 20/5 = 4
so, he needs to pay additionally 200×4 = 800php.
therefore, the total cost will be
4000 + 800 = 4800php
Determine the equation of a circle with center at (8, 10) and radius 6.
1) (X + 8)2 + (y - 10)2 = 36
2) (x + 8)2 + (y + 10)2 = 36
3) (x-8)2 + (y - 10)2 = 36
4)(x - 8)2 + (y - 10)2 = 6
Answer:
Step-by-step explanation:
general equation for a circle at the origin is
x² + y² = r²
if the circle center is (x₀, y₀), the formula is
(x - x₀)² + (y - y₀)² = r²
(x - 8)² + (y - 10)² = 36
Determine if the sequence below is arithmetic or geometric and determine the common difference/ ratio in simplest form
15, 11 ,7, …
Answer:
This is the arithmetic sequence which has a common difference that equals to -4.
Step-by-step explanation:
An arithmetic sequence is a sequence with common difference. A common difference can be found by subtracting previous term with next term.
A common difference can be expressed in [tex]\displaystyle \large{d=a_{n+1}-a_n}[/tex] where d stands for common difference.
________
Moving to the question given. We have a sequence with given 15,11,7, ... first subtract 15 with 11.
11-15 = -4
7-11 = -4
Therefore, we can conclude that the common difference is -4 thus making the given sequence an arithmetic.
Let me know if you have any question so regarding the sequence!
WILL GIVE BRAINLIEST
Answer:
It has no solution because, 14x cancels out -14x when you move the variables to the left and leaves the equation as 0 = -12, however we know that 0 does not equal -12 which means this solution is false; therefore this equation has no solution since 0 does not equal -12.
Step-by-step explanation:
5 - 4x - 7 - 10x = -8x - 4 - 6x - 10 (Given)
-2 - 14x = -14x - 14 (Combine like terms)
0 = -12 (Move variables(x) to the left and the constants to the right)
are 1/2 and 2/4 proportional?
Answer:
yes they are proportional
One hundred voters were asked whether they supported a bill that had
The question is cut off.
given f(x)=-3x^2-7x ,find f(7)
Answer:
f(7) = -196
Step-by-step explanation:
f(7) = -3(7)² - 7(7)
-147 - 49
-196
this drawing shows an isosceles triangle work out the size of angle a plz help as soon as possible thks
Answer:
70°
Step-by-step explanation:
Size of angle a = (180°-40°) ÷ 2 (angle sum of triangle; base angles of isos triangle)
= 140° ÷ 2
= 70°
Answer:
a + 40° = 180°
a t40°-40° =180°- 40°
a = 140°
Step-by-step explanation:
isosceles add up to 180°
One factor of the function f(x) = x ^ 3 - 8x ^ 2 + 17x - 10.5(x - 5) Describe how to find the x-intercepts and the y-intercept of the graph of f(x) without using technologyShow your work and include all intercepts in your answer.
Answer:
x-intercept(s): (−1.9900717, 0)
y-intercept(s): (0, 52.5)
Step-by-step explanation:
To find the x-intercept, substitute in [tex]0[/tex] for [tex]y[/tex] and solve for [tex]x[/tex]. To find the y-intercept, substitute in [tex]0[/tex] for [tex]x[/tex] and solve for [tex]y[/tex] .
[tex]f(x)=y[/tex]
[tex](x)=x[/tex]
x-intercept
To find the x-intercept(s), substitute in [tex]0[/tex] for [tex]y[/tex] and solve for [tex]x[/tex] .
[tex]f(x) = x ^ 3 - 8x ^ 2 + 17x - 10.5(x - 5[/tex]
[tex]=\bold{0}=x^3-8x^2+17x-10.5\left(x-5\right)[/tex]
[tex]=0\cdot \:10=x^3\cdot \:10-8x^2\cdot \:10+17x\cdot \:10-10.5\left(x-5\right)\cdot \:10[/tex]
[tex]=0=10x^3-80x^2+170x-105\left(x-5\right)[/tex]
[tex]=0=10x^3-80x^2+65x+525[/tex]
[tex]=10x^3-80x^2+65x+525=0[/tex]
[tex]=10x^2-99.90071\dots x+263.80959\dots \approx \:0[/tex]
[tex]\bold{x\approx \:-1.99007\dots}[/tex]
y-intercept
[tex]f(x) = x ^ 3 - 8x ^ 2 + 17x - 10.5(x - 5[/tex]
[tex]=y=\bold{0}^3-8(\bold{0})^2+17(\bold{0})-10.5\left(\bold{0}-5\right)[/tex]
[tex]=y=0-8\cdot \:0+17\left(0\right)-10.5\left(0-5\right)[/tex]
[tex]=y=0-8\cdot \:0+17\cdot \:0-10.5\left(0-5\right)[/tex]
[tex]=y=0-0+0-\left(-52.5\right)[/tex]
[tex]=0-0+0+52.5[/tex]
[tex]\bold{y=52.5}[/tex]
A group of friends were working on a student film that had a budget of $1300. They used $546 of their budget on props. What percentage of their total budget did they spend on props?
A taxi ride costs $3 plus $2.50 per mile. if sasha has 37 in cash,what is the greatest whole number of miles she can ride in this taxi? 25 points if done with explanation and correct answer
Answer:
13 miles is the greatest whole number of miles she can go.
Step-by-step explanation:
37-3=34
$5 for 2 miles
34/5 = 6 remainder 4
that is 12 miles. But since she still has 4 dollars left, she can go another mile. so, 12 +1 = 13
hope this helps :)
help with this please
Write g(x)=40x+4x2 in vertex form
What is the difference of the fractions? Use the number line to help find the answer.
1/5-3/4
○ -19/20
○ -11/20
○ 11/20
○ 19/20
Answer:
-11/20
Step-by-step explanation:
[tex]\frac{1}{5} - \frac{3}{4} = \frac{?}{?}[/tex]
first you want to get a common denominator (number on the bottom)
[tex]\frac{4}{20} - \frac{15}{20} = \frac{?}{?}[/tex]
now you can subtract the numerators (number on tope) (also don't touch bottom)
[tex]it ~equals = -\frac{11}{20} ~~because ~4-15 ~is -11[/tex]
Hello can anyone help me with these problems please and ty
12. x= 4
13. x= 4
14. x= -1
Check the steps in the picture above
I don’t understand this please help
Answer:
i think BC = 8.5
Step-by-step explanation:
19-(2+6.5+2)
19-10.5
8.5
4. Molly has 20 tomato plants to arrange in her garden. What are all the ways Molly can arrange the tomato plants in an array?
The number of ways Molly can arrange the tomato plants in an array is 27,907,200 ways
Find the image attached. From the figure, we can see that there are 6 rows in the array.
If there are 20 tomato plants, the ways Molly can arrange the tomato plants in an array is expressed according to the permutation formula:
20P6 = 20!/(20-6)!
20P6 = 20!/14!
20P6 = 20 * 19 * 18 * 17 * 16 * 15
20P6 = 27,907,200
Hence the number of ways Molly can arrange the tomato plants in an array is 27,907,200 ways
Learn more on permutation formula here: https://brainly.com/question/12468032
Find all real values of $x$ such that $x^2-5x + 4=0$.
Answer:
x=4 && x=1
Step-by-step explanation:
x^2 - x - 4x + 4=0
x(x-1) - 4(x - 1)=0
(x-4)(x-1)=0
X=4 and x=1
All real values of $x$ such that $x²-5x + 4=0$ will be x=4 and x=1.
What is the equation?An equation is a statement that two expressions, which include variables and/or numbers, are equal. In essence, equations are questions, and efforts to systematically find solutions to these questions have been the driving forces behind the creation of mathematics.
It is given that, the quadratic equation is, x²-5x+4=0
Any equation of form ax²+bx+c=0 where x is variable and a, b, and c are any real numbers where a ≠ 0 is called a quadratic equation.
We have to find the value of x as,
x²-5x + 4=0
x² - x - 4x + 4=0
x(x-1) - 4(x - 1)=0
(x-4)(x-1)=0
X=4 and x=1
Thus, all real values of $x$ such that $x²-5x + 4=0$ will be x=4 and x=1.
Learn more about the equation here,
https://brainly.com/question/10413253
#SPJ6
Find the value of x
Answer:
i think r would be the same as q
Step-by-step explanation:
I believe it's an isosceles triangle, if there were a line going down the center, each half should be symmetrical, so q and r are the same angle.
Answer:
32.5
Step-by-step explanation:
A triangle's angles add up to 180 degrees
(2x+15)+x+(x+35)=180
x=32.5
If I get payed $1.00 an hour, how much would I make for 10 minutes of work
Answer:
$0.10
Step-by-step explanation:
let f(x)=3x-2, g(x)=5x+1
fogof(2)
Answer:
f(g(2)) = 29
Step-by-step explanation:
First of all we write the new function defined as the composite function of f and g: f(g(x)) = 3(5x+1) - 2 = 15x + 3 - 2 = 15x -1
Now we can simply "plug in" 2 instead of the x in the function we just obtained: f(g(2)) = 15*2 - 1 = 29
The product of two irrational numbers is
______ rational
Answer:
The product of two irrational numbers will not be irrational.
Step-by-step explanation:
Answer:
The product of two irrational numbers will not be irrational.
Step-by-step explanation:
Translate this sentence into an equation.
46 is the sum of 20 and Han's savings.
Use the variable h to represent Han's savings. I
Answer:
20+h = 46
Step-by-step explanation:
it doesn't ask to solve it so that's the answer
Answer :-
[tex]20 + h = 46[/tex]• 46 is the sum of 20 and Han's savings. .
So here Question tell that 46 is the sum of Han's Saving .Then it says that to write the equation in this sentence .
• Use the variable h to represent Han's savings.
So 20 and h = 20 + h = 46 .Hope this helps you !!i could use help plz
Answer:
6.70
+26.87
33.57
Step-by-step explanation:
Couldn't explain sorry
-hope it helps
write the equation of the line that has a slope of O and passes through the point (6, -8).
Answer:
y=-8
Step-by-step explanation:
y-y1=m(x-x1)
y-(-8)=0(x-6)
y+8=0
y=0-8
y=-8
PLZ HELPPPPP QUICKLYYYY!!!!!!!!!!!!!
Answer:
root 490
Step-by-step explanation: