Answer:
0.5 hours
$130 = 1h
$90 = 30m/1h
sin6x-cos6x=[tex]\sqrt{2}[/tex]
Condense the right side a single sine expression:
sin(6x) - cos(6x) = R sin(6x - t)
Expanding the right side gives
sin(6x) - cos(6x) = R sin(6x) cos(t) - R cos(6x) sin(t)
Then we have
R cos(t) = 1
R sin(t) = 1
Solve for R and t:
(R cos(t))² + (R sin(t))² = 1² + 1²
R² = 2
R = √2
and
(R sin(t))/(R cos(t)) = 1/1
tan(t) = 1
t = arctan(1) = π/4
So we rewrite the equation as
√2 sin(6x - π/4) = √2
Solve for x :
sin(6x - π/4) = 1
6x - π/4 = arcsin(1) + 2nπ
(where n is any integer)
6x - π/4 = π/2 + 2nπ
6x = 3π/4 + 2nπ
x = π/8 + nπ/3
Kelly has 15 blue bracelets and 12 green bracelets. What is the ratio of Kelly’s blue bracelets to green bracelets?
Answer:
5:4
Step-by-step explanation:
Answer:
5:4
Step-by-step explanation:
To simplify the ratio 15:12, we find the greatest common divisor of 15 and 12, and then we divide 15 and 12 by the greatest common divisor.
The greatest common divisor that you can use to simplify 15:12 is 3. Which means the answer to ratio 15:12 simplified is:
5:4
The miller’s are comparing babysitting services for their two children. the babysitters block charges a rate of $15 an hour per child plus an initial fee of $25 per household. super sitters charges a flat rate of $20 an hour per child. for …. hours of service both babysitting services would cost the same
Answer:
2.5 hours
Step-by-step explanation:
BB = 25 + (15x)2
SS = (20x)2
25 + 30x = 40x
10x = 25
x = 2.5
Answer:
5 hours
Step-by-step explanation:
15 times 5 is 75 plus 25 is 100
20 times 5 is also 100
Factor completely by finding the greatest common factor:
12xy^4 − 21x^2y^5z + 36xy^3
Answer:
the common factor is 3xy³
therefore by factoring we get;
3xy³(4y-7xy²z+12)
Steve increases his math average by 9 points over a period of 15 weeks. How many points per week did his average increase?
Answer:
.6 points per week
Step-by-step explanation:
9/15
what is the probability that a tabby is chosen as the second kitten when a black kitten was chosen as the first
What is the correct equation to solve for X?
PLA HELP PLS PLS PLA
Answer:
y=3x-1
Step-by-step explanation:
I solved it by using graph paper so if you start out at (2,4), and go down 3 and left 1 you would end up at (-1,3)
(−4/3)⋅(−1/3)⋅1.2 answer plz
Answer:
= .533
Step-by-step explanation:
(−4/3)•(−1/3)= .44
.44•1.2=.533
Does the following relationship represent a function?
A. Yes
B. No
I need help on 40 please
Answer:
A
Step-by-step explanation:
1000 pepperoni pizzas were 40% of total price. 40*2.5=100. That means 1000*2.5 which equals 2500.
se quiere construir una casa en 10 dias 10 obreros trabajando 10 horas si se incrementa 2 obreros pero se disminuye 2 horas ¿en cuantos dias se acabaria la casa?
The choir needs to raise $2,620.00 for a trip to the state competition. They are selling sets of candles for $25.00 per set. They have already raised $1,225.00 from the fundraiser.
Answer:
The band needs to sell 4 more items from their fundrasier than the chorus needs to sell for their fundraiser.
Step-by-step explanation:
i just did that question like 3 mins ago lol
This is a list of ingredients for making a cake for 8 people.
Ingredients for 8 people
200 g flour
190 ml cream
60ml milk
4 eggs
Work out the amount of each ingredient needed to make a cake for 4 people
Answer:
100g flour
95ml cream
30ml milk
2eggs
Step-by-step explanation:
You just half them all
An advertisement for a box of crackers says that the new box has 20% more crackers than the original box. If the weight of the original box was 12 ounces, what is the weight of the new box of crackers?
Based on the weight of the old box of crackers, we can infer that the weight of the new box is 14.4 ounces.
The old box weighed 12 ounces and the new box has 20% more than the old box had.
The new box should therefore weigh 20% more than the old box which means that it weighs:
= Weight of old box x ( 1 + increase in new box)
= 12 x (1 + 20%)
= 14.4 ounces
In conclusion, the new box weighs 14.4 ounces.
Find out more at https://brainly.com/question/2051201.
Which represents the solution set of the inequality 5x-9<_21?
O<_12/5
O>_12/5
O x>_6
O x<_6
Answer:
[tex]x\leq 6[/tex]
Step-by-step explanation:
[tex]5x-9\leq 21\\\\5x-9+9\leq 21+9\\\\5x\leq 30\\\\\frac{5x}{5}\leq \frac{30}{5}\\\\x\leq 6[/tex]
What is the inverse of the function f(x) =√x-2
Equations in the Form y = ax^2
Guided Practice
Consider these equations.
y=2x^2
y=12x^2
y=−3x^2
How does each differ from the simple quadratic equation y = x^2?
In each of these new equations, x^2 has a coefficient. They are all examples of the equation y = ax^2.
Let’s look at how the coefficient 2 affects the graph of the function y = 2x^2.
Type your answer and then click or tap Done.
First, find the values of 2x^2 by completing this chart. The first is done for you.
x x^2 2x^2
−2 4 8
−1 1 Fill in the blank text field 1
Answer:
2
Step-by-step explanation:
It's 2 because 4^2 is 8 and 1^2 is 2 so that's how I got my answer
Find the value of f.
Answer:
f =18
Step-by-step explanation:
The sum of the angles of a triangles is 180
3f+6f+f = 180
10f = 180
Divide by 10
10f/10=180/10
f = 18
I need help pleaseeeeee
Answer:
top one is 8x bottom is 9
Step-by-step explanation:
algebra 2 is really difficult please help me no bogus answers please
#1
Discount is 40%=0.04xSo the function is
e(s(x))=0.04x#2
[tex]\\ \tt\hookrightarrow( f\circ g)(x)[/tex]
[tex]\\ \tt\hookrightarrow f(x)g(x)[/tex]
[tex]\\ \tt\hookrightarrow (3x-1)(4x^2+9)[/tex]
[tex]\\ \tt\hookrightarrow 12x^3+27x-4x^2-9[/tex]
Mary earns a weekly base salary of $180. She also receives $25 per item sold. This week
she receives a salary of $530. How many items did she sell?
Answer:
She sold 14 items
Step-by-step explanation:
530 - 180 = 350
350 / 25 = 14
is the answer i chose correct ?
Answer:
The answer is "yes. they're similar CDEF ~ QRST, scale factor; 4/3
Step-by-step explanation:
If you multiply 3 by 4/3. The answer will be 12/3 or 4.
If you multiply 6 by 4/3. The answer will be 24/3 or 8.
Please help!!!!!!!!!!!!!
Answer:
can you also send a graph that might help rn
Step-by-step explanation:
THEN c. If a || band line c is parallel to line a, then line b and c are?
Answer: parallel
Step-by-step explanation:
For two lines to be parallel they must have the same slope.
Because a is parallel to b they must have the same slope. Let's call that slope x.
Because c is parallel to b they must have the same slope. Because the slope of b is x, the slope of c must be x.
Because the slope of both a and c are x, they must be parallel.
Diego is planting corn on his farm. He predicts that he will grow 20 tons of corn when he plants 5 acres with corn. Part A Use the information above to complete the table. Number of Acres Planted with Corn Tons of Corn Grown 5 10 15 20 DULL
The number of tons of corns grown on the farm is given my a multiple of
the number of acres planted.
The number of tons of corn predicted per 5 acres planted = 20 tons
Therefore, we have;
[tex]\begin{tabular}{ccc}Tons of corn produced per acre\end{array}\right] = \dfrac{20 \ tons}{5 \ acres} = \mathbf{4 \ tons /acre}[/tex]The completed table is presented as follows;
[tex]\begin{tabular}{c|c|c}\underline{Number of Acres Planted with Corn}&\underline{4 tons per acre} &\underline{Tons of Corn Grown}\\5&5 \times 4&20\\10&10 \times 4&40\\15&15 \times 4&60\\20&20 \times 4&80\end{array}\right][/tex]
Learn more about simple ratios here:
https://brainly.com/question/21751163
Jacob was out at a restaurant for dinner when the bill came. His dinner came to $18. After adding in a tip, before tax, he paid $20.70. Find the percent tip.
Answer:
2.70$
Step-by-step explanation:
Find the difference or type
"impossible”
[1 -2 1] - [4 -5 -6]
Answer:
-3,3,7 for Acellus
that's it
please help please help
Answer:
35
Step-by-step explanation:
It is asking you for the absolute value which is the distance from zero. Picture it on a number line. It is 35 spaces from zero.
I hope this helps!!!
Answer:
C) 35
Step-by-step explanation:
The absolute value of a number can be thought of as the distance the number is from zero on a number line. A distance is never a negative number. It can be zero or a positive number.
Asking what is |-35|, the absolute value of -35, is the same as asking "how far is -35 from zero on a number line?" The answer is 35.
To find the absolute value of a number do this:
If the number is zero, then its absolute value is 0. |0|= 0
If the number is positive, then the absolute value is just the number. For example, |9| = 9
If the number is negative, then just drop the negative sign. Example: |-3| = 3
Write an equation in standard form for a line that is (a) parallel (b) perpendicular to the line with an equation of 5 3 − = x y that passes through the point (8, 5).
Answer:
e
Step-by-step explanation: