Answer:
A: 0.55 < [tex]\frac{6}{9}[/tex]
C: 0.70 < [tex]3\frac{4}{5}[/tex]
D: 5 < [tex]2\frac{3}{4}[/tex]
Step-by-step explanation:
Turn all the fractions into decimals.
A: 0.55 < 0.67 (Correct)
B: 5.15 = 5.33 (Incorrect)
C: 0.70 < 3.8 (Correct)
D: 2.5 < 2.75 (Correct)
Solve cos x + √2 = -cos x for x over the interval [0, 2Π)
Answer:
[tex]x=\frac{3\pi}{4}\\\\x=\frac{5\pi}{4}[/tex]
Step-by-step explanation:
Trigonometric Equations
It's required to solve:
[tex]\cos x+\sqrt{2}=-\cos x[/tex]
for [tex]x\in [0,2\pi)[/tex]
Adding cos x:
[tex]2\cos x+\sqrt{2}=0[/tex]
Subtracting [tex]\sqrt{2}[/tex]
[tex]2\cos x=-\sqrt{2}[/tex]
Dividing by 2:
[tex]\displaystyle \cos x=-\frac{\sqrt{2}}{2}[/tex]
Solving for x:
[tex]\displaystyle x=\arccos\left(-\frac{\sqrt{2}}{2}\right)[/tex]
We need to find the angles whose cosine is [tex]-\frac{\sqrt{2}}{2}[/tex] over the given interval.
These angles lie on the quadrants III and IV respectively and they are:
x=135°, x=225°
Converting to radians:
135 * π / 180 = 3π/4
225 * π / 180 = 5π/4
The two solutions are:
[tex]\mathbf{x=\frac{3\pi}{4}}[/tex]
[tex]\mathbf{x=\frac{5\pi}{4}}[/tex]
Answer:
The correct answer is option C
Step-by-step explanation:
Which equation represents a linear function?
equation 1: y=2x^2+1
equation 2: y=8x+1
equation 3:y=5x^3-1
equation 4: y^2=4x-1
a. equation 1
b. equation 2
c. equation 3
d. equation 4
I need an answer by today ASAP! please!
Answer:
Equation 2
Step-by-step explanation:
Equation 2 is the only one possible to be linear. All of the other answers have an exponents. For instance, say you have y=x^3. For 1, it is 1*1*1. (1,1). For 2, it is 2*2*2. (2,8). For 3, 3*3*3. (3,27) It escalates into a curve and is non-linear.
Tim has a large collection of books. The number of paperback books he has is 3 times less then 4 times the amount of hardcover books. How many hardcover books does Tim have?
Complete Question:
Tim has a large collection of books. The number of paperback books he owns is three less than four times the number of hard cover books, in total Tim had 447 books, How many hard cover books does Tim own ?
Answer:
Tim has 90 hard cover books
Step-by-step explanation:
Represent the paper books as P and the hard covers as H
The total number of books can be represented as:
[tex]P + H = 447[/tex]
From the first statement, we have:
P = 3 less than 4 times H
This means:
[tex]P = 4H - 3[/tex]
Required
Solve for H
Substitute 4H - 3 for P in [tex]P + H = 447[/tex]
[tex]4H - 3 + H = 447[/tex]
Collect Like Terms
[tex]4H + H = 447 + 3[/tex]
[tex]5H = 450[/tex]
Solve for H
[tex]H = \frac{450}{5}[/tex]
[tex]H = 90[/tex]
Hence:
Tim has 90 hard cover books
Read the following prompt and type your response in the space provided.
Write an inequality that could be used to solve the following problem. Do not solve.
Sall's Pizza charges $12 for a large cheese pizza and $2 for each additional topping.
Brian only has $18 to spend on pizza. How many toppings can he get on a large
pizza?
Answer:
equation form: 12 + 2x = 18
x = 3
lets check the work see if its true
12 + 2(3) = 18
12 + 6 = 18
It Checks!
therefore your answer is 3. He can get 3 different toppings
Step-by-step explanation:
If f(x) = -3x + 5, find f(6.4).
Answer:
-14.2
Step-by-step explanation:
f(x)=-3x+5 Write original equation
f(6.4)=-3(6.4)+5 Substitute 6.4 in for x.
=-14.2 Solve
Two angles in a right triangle has angle measures of 90° and 50°. What is the measure of the third angle?
Please help me brainlessly
if the difference of simple interest on a certain amount of money for 4%for five years and 5%for 4 years is. Rs. 28. find the sum
Answer:
96000
Step-by-step explanation:
N=4years
R=4 %
We have S.I.=
100
PNR
=
100
P×4×4
=
100
16P
=0.16P
And on interest being compounded for 3 years and R=5 %, Amount=P(1+
100
R
)
N
=P(1+
100
5
)
3
=P×(1.05
3
)=1.157625P
So, C.I.=A−P=1.157625P−P=0.157625P
Given, S.I.−C.I=Rs228
=>0.16P−0.157625P=Rs228
=>0.002375P=Rs228
=>P=Rs96,000
SOMEONE PLEASE HELP ME WITH THIS I NEED IT!!!
Answer:
to be entirely honest i do not know
Step-by-step explanation:
Mrs. Brown asked four students how to find the perimeter of a rectangle where l = length and w = width. Their answers are below. Which would NOT find the perimeter of a rectangle?
A. P = l + w + l + w
B. P = 2 x l + 2 x w
C. P = 2(l + w)
D. P = 2(l x w)
Answer:
i think its B but i'm not 100 percent sure sorry if im not but i think i am
Step-by-step explanation:
Answer:
It's D
Step-by-step explanation:
You l*w is the area.
can you figure out the answer please
Answer:
h = — 10.071
Step-by-step explanation:
Look at the picture for my work.
Write a function for the geometric sequence where the first term is 11 and the common ratio is 4. please help This is due today and I don't understand it I will give brainliest
Given:
In a geometric sequence,
First term = 11
Common ratio = 4
To find:
The function for the geometric sequence.
Solution:
We have,
First term: a = 11
Common ratio: r = 4
We know that, nth term of a geometric sequence is
[tex]a_n=ar^{n-1}[/tex]
Putting a=11 and r=4, we get
[tex]a_n=(11)(4)^{n-1}[/tex]
The function notation is
[tex]f(n)=(11)(4)^{n-1}[/tex]
Therefore, the function for the geometric sequence is [tex]f(n)=(11)(4)^{n-1}[/tex], where n is a positive integer.
PLS HELP ASAP, ILL MARK BRAINLIEST IF ITS A REAL ANSWER. LOOK AT THE PICTURE
Answer:
Both graphs are proportional
Step-by-step explanation:
in the first graph the x is multiplied by 3 to get y. in the second, you are getting rid of 1/3 of x to get y
Solve the given system using elimination.
Answer:
s = 1
t = -10
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Algebra I
Solving systems of equations using substitution/eliminationStep-by-step explanation:
Step 1: Define Systems
15s + t = 5
4s = 3t + 34
Step 2: Rewrite
15s + t = 5
Subtract t on both sides: 15s = -t + 5Multiply both sides by 3: 45s = -3t + 15Step 3: Redefine Systems
45s = -3t + 15
4s = 3t + 34
Step 4: Solve for s
Elimination
Combine equations: 49s = 49Divide 49 on both sides: s = 1Step 5: Solve for t
Define equation: 15s + t = 5Substitute in s: 15(1) + t = 5Multiply: 15 + t = 5Isolate t: t = -10Answer:
Explanation is below
Step-by-step explanation:
Here ya go
Step 1
15s+t=5,4s=3t+34 Question
Step 2
4s=3t+34 Substitute -15s+5
4s=3(-15s+5)+34
s=1
Step 3
t=-15s+5 Substitute 1 for s
t=(-15)(1)+5
t=-10
answer
s=1
t=-10
on someone plz help it is timed i will give Brainliest if correct
Answer:
D.
Step-by-step explanation:
What is the difference of 104 - 2.84?
O 100.31
O 100.56
O 101.16
O 102.16
plz tell me the correct answer
Answer: H
Step-by-step explanation:
(8^5)^0 + (7 + 3)^6 x 10^-8
Please answer!!!
Answer:
1.01 m8
Step-by-step explanation:
What is the general form of the equation 2x + 3y = 9?
Answer:
2x + 3y - 9 = 0
Step-by-step explanation:
PLEASE ANSWER THIS I BEG FOR YOUR MERCY!!!!!!!!!!!! if you dont know....dont answer
Answer:
the answer is the second choice
Step-by-step explanation:
hopefully this helps :)
How do these results about area and perimeter of similar quadrilaterals compare with similar situations for triangles?
Answer:
Let's see
Step-by-step explanation:
Two triangles are same ∆1 and ∆2
They have same height and breath
Now ∆1= ∆2
=> ar(∆1)= ar(∆2)
The same is for quadrilaterals
Each of the numbers 1 through 7 is written on a small piece of paper and placed in a box. What is the probability of picking a paper with an odd number?
A. 12
B. 47
C. 37
D. 14
I NEED ASAP PLS 20 pnts!
Answer:
Either C or B I’m not quite sure which one. I’m sorry
Step-by-step explanation:
Plz help fast and correct!!!! (I will report if answer is stupid!!!)
Help... pls ASAP Fill in the blanks
Answer:
I got this! Basically, the instructions say 12 gallons per 3 minutes. So you plug in the 12/3 to find the ratio of how many gallons per 1 minute.
Step-by-step explanation:
So, for the chart you just mulitply and evauluate
Time (min) | 2 | 3 | 4 | 5 | 6 |
Water used (gal) | 8 | 12 | 16 | 20 | 24 |
What is the slope of this line: y=10
The slope of this line is 0. If you graph the line y=10, for any x value, the y-value remains 10 (denoted because x is equal to 0 in the actual equation shown, which means that x will not be shown in the equation). The graph would basically just be a straight horizontal line, neither curving up or down.
Use the figure to find the measure of Angle 6.
Answer:
40
Step-by-step explanation:
140-180= 40
Solve the system using substitution. Check your solution.
2x - y= 65
5y = x
Answer:
The solutions to the system of equations are:
[tex]x=\frac{325}{9},\:y=\frac{65}{9}[/tex]
Step-by-step explanation:
Given the system of the equations
[tex]\begin{bmatrix}2x-y=65\\ 5y=x\end{bmatrix}[/tex]
isolate 'x' for 2x-y
[tex]2x-y=65[/tex]
Add y to both sides
[tex]2x-y+y=65+y[/tex]
[tex]2x=65+y[/tex]
Divide both sides by 2
[tex]\frac{2x}{2}=\frac{65}{2}+\frac{y}{2}[/tex]
[tex]x=\frac{65+y}{2}[/tex]
[tex]\mathrm{Subsititute\:}x=\frac{65+y}{2}[/tex]
isolate 'y' for [tex]5y=\frac{65+y}{2}[/tex]
[tex]5y=\frac{65+y}{2}[/tex]
[tex]10y=65+y[/tex]
subtract y from both sides
[tex]10y-y=65+y-y[/tex]
[tex]9y=65[/tex]
Divide both sides by 9
[tex]\frac{9y}{9}=\frac{65}{9}[/tex]
[tex]y=\frac{65}{9}[/tex]
[tex]\mathrm{For\:}x=\frac{65+y}{2}[/tex]
[tex]\mathrm{Subsititute\:}y=\frac{65}{9}[/tex]
[tex]x=\frac{65+\frac{65}{9}}{2}[/tex]
[tex]x=\frac{325}{9}[/tex]
The solutions to the system of equations are:
[tex]x=\frac{325}{9},\:y=\frac{65}{9}[/tex]
Solve 3(x-4)=12x ......
Answer:
The answer is x= -4/3
Step-by-step explanation:
3(x-4)=12x
=3x-12=12x
=3x-3x-12=12x-3x
-12=9x
To find x divide both sides by 9.
-12÷9=9x÷9
-4/3=x
How many different positive rotations of less than 360 degrees
will map a square to itself?
A. infinitely many
B. 1
C. 3
D. 0
Answer:
3
Step-by-step explanation:
Took quiz
Someone please Help??