Answer:
Temperature difference: 14.70°F
Step-by-step explanation:
Since the temperature decreased from 71.50°F to 56.80°F, we could determine the temeprature difference by subtracting the given temperatures:
71.50°F - 56.80°F = 14.70°F
Therefore, the temperature decreased by 14.70°F overnight.
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
Suppose that the functions f and g are defined for all real numbers x as follows.
f(x)=x+3
g(x) = 4x+4
Step-by-step explanation:
when you do an arithmetic operation to functions, you do it for the defining expressions.
so,
(f+g)(x) = (x + 3) + (4x + 4) = x + 3 + 4x + 4 = 5x + 7
(f*g)(x) = (x+3)*(4x+4) = 4x² + 12x + 4x + 12 = 4x² + 16x + 12
= 4(x² + 4x + 3)
(f-g)(4) = (4+3) - (4×4+4) = 7 - (16+4) = 7 - 20 = -13
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
I need help pleaseeeeee
Answer:
top one is 8x bottom is 9
Step-by-step explanation:
Liz is a salesperson at a department store. She gets paid an hourly wage plus a 5 percent commission on all her sales. Her pay is given by the formula below.
P = $6h + $0.05k
In this formula, h is the number of hours worked, and k is the dollar amount of sales. Liz worked 36 hours last week and sold $2,700 of merchandise. What was her total pay for the week?
Answer:
$351.00
Step-by-step explanation:
Our first step in this process is to find what the hours - represented by h - times $6.00 would result in. Since 36 ⋅ 6 results in $216.00, we know that $216.00 + $0.05k = last week's pay for Liz.
Our second step is to find what $0.05 is being multiplied by. We see in the given information that k represents the dollar amount of sales. Therefore, in the second step of this process, we'll be multiplying 0.05 by 2700, which results in $135.00.
We then add $216.00 - the remaining value to be added - to the second value of $135.00, making the answer to this math problem $351.00.
Hopefully this helped a bunch! And tell me if you need any further assistance. ( :
What is the correct equation to solve for X?
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.
Cual es el decimal de 19,87×7,8
Answer:
92568
Step-by-step explanation:
I think............
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
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
x°+(x+30)=180°
I need answer
Answer:
210 + -1x
Step-by-step explanation:
Simplifying
X + (x + -30) = 180
Reorder the terms:
X + (-30 + x) = 180
Remove parenthesis around (-30 + x)
X + -30 + x = 180
Reorder the terms:
-30 + X + x = 180
Solving
-30 + X + x = 180
Solving for variable 'X'.
Move all terms containing X to the left, all other terms to the right.
Add '30' to each side of the equation.
-30 + X + 30 + x = 180 + 30
Reorder the terms:
-30 + 30 + X + x = 180 + 30
Combine like terms: -30 + 30 = 0
0 + X + x = 180 + 30
X + x = 180 + 30
Combine like terms: 180 + 30 = 210
X + x = 210
Add '-1x' to each side of the equation.
X + x + -1x = 210 + -1x
Combine like terms: x + -1x = 0
X + 0 = 210 + -1x
X = 210 + -1x
Simplifying
X = 210 + -1x
14) In triangle ABC angle A measures 68 degrees and angle B measures 72 degrees. If the measure of
angle C is (x+ 10) degrees. What is the value of X?
Answer:
x= 30°
Step-by-step explanation:
plzz plzz plzz mark as brainliest
Answer:
30°
Step-by-step explanation:
68 + 72 + x + 10 = 180
x + 150 = 180
x + 150 -150 = 180 -150
x = 30
Please help!!!!!!!!!!!!!
Answer:
can you also send a graph that might help rn
Step-by-step explanation:
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
Does the following relationship represent a function?
A. Yes
B. No
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]
Î"RST was _____________, then dilated, to create Î"ZXY. Rotated reflected translated dilated.
Answer:
5
Step-by-step explanation:
how do you draw the graph?
Answer:
right
Step-by-step explanation:
draw a line and right a number from 1 to 10
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
Solve for b.
8b−1=24b+4
Enter your answer in the box.
Answer:
b=-5/16
Step-by-step explanation:
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.
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
What is the solution of the system of equations?
PLS RESPOND ITS AN EMERGENCY
Answer:
D) (4, -6, -1)
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.
what is the probability that a tabby is chosen as the second kitten when a black kitten was chosen as the first
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
i have 7 bags with 2 marbles in each bags. then my friend have 10 bags with 2 marbles in each bag. how many more marbles does my friend have?
Answer:
your friend has 6 more marbles
Step-by-step explanation:
7×2=14
10×2=20
20-14=6
Answer:
6
Step-by-step explanation:
First you multiply 7 by 2 because there is 2 marbles in each bag and there is 7 bags so that is 14 marbles
Then you multiple 2 by 10 because there is 10 bags with 2 marbles each which is 20.
20-14=6
Can I get brainliest?
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)
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