x=0.12634012+
[tex]\\\pi144445618[/tex]
Answer:
A. 30
Step-by-step explanation:
The correct form is:
4sin^2 x − 1 = 0
First step is add 1 to both sides:
4sin^2 x-1+1=0+1
4sin^2 x=1
Now to eliminate 4 divide both sides by 4
4sin^2 x/4=1/4
sin^2 x=1/4
Take square root at both sides
√sin^2 x = √1/4
sinx = 1/2
Thus the correct option is 30° ....
About how many feet of fencing are needed to enclose a rectangular garden with a 30 foot pond side and a 40 foot long diagonal
Answer:
140
Step-by-step explanation:
30+30=60
40+40=80
60+80=140
Answer: Hello there!
If you want to enclose a rectangular garden, then the feet of fencing that you need are equal to the perimeter of the rectangle, this is, the sum of all the sides of the rectangle.
We know that the rectangle has a 30ft pond side and a 40ft long diagonal.
this 40ft diagonal is the hypotenuse of a triangle rectangle where the cathetus is the sides of the rectangle; we know that one of the sides are of 30 ft, and we want to find the other:
Using the Pythagorean theorem; we know that:
[tex]40^{2} = 30^{2} + x^{2}[/tex]
where x is the length of the other side that we don't know yet.
[tex]x = \sqrt{40^{2} - 30^{2} } = 26.5ft[/tex]
Then your rectangle has a 30ft side, and a 26.5ft side (and has two of both)
Then the perimeter is:
30ft + 30ft + 26.5ft + 26.5ft = 113ft
Help me please anyone!
Answer:
1) 13(2) + 2m = A
2) 70
Step-by-step explanation:
The answer in the there:
What are the solutions to the equation? x^2−12x+36=4
x1=
x2=
(not multiple choice)
Answer:
x1=4
x2=8
Step-by-step explanation:
1- Factor the equation.
2- solve a Single Variable Equation
3- Parabola, Finding the Vertex
You are given the system of equations to solve by the elimination method, which is an INCORRECT step that will NOT produce a system with the same solution? 3x + 3y = 4 18x − 9y = 12 A) multiply the first equation by 6 and subtract the second equation B) multiply the first equation by −6 and add the second equation C) multiply 3x by 6 in the first equation and subtract the second equation D) add 2 times the first equation and −1/3 times the second equation Eliminate
C would be the correct answer. You caanot multiply just one part of an equation, you must multiply the whole thing. All of the other steps follow this rule, so C is an incorrect step, and is therefore the correct choice.
Hope this helps!
Answer:
C) Multiply 3x by 6 in the first equation and subtract the second equation.
Step-by-step explanation:
We have been given a system of equations.[tex]3x+3y = 4[/tex] and [tex]18x-9y = 12[/tex]. We are asked to choose the "incorrect" step that will make "not" produce a system with the same solution.
Let us see our give choices one by one.
A) multiply the first equation by 6 and subtract the second equation.
When we will multiply 1st equation by 6, the coefficient of x would be 18. When we will subtract 2nd equation the both x's will cancel out. Therefore, option A is correct.
B) multiply the first equation by −6 and add the second equation.
When we will multiply 1st equation by -6, the coefficient of x would be -18. When we will add 1st equation to 2nd equation the both x's will cancel out. Therefore, option B is correct as well.
C) Multiply 3x by 6 in the first equation and subtract the second equation.
We need to remember that we cannot multiply only one term of equation by some quantity as it will make the whole equation false, therefore, option C is incorrect.
One half the difference of the cube of a number, x, and three
Answer:
(1/2)(x³ - 3)
Step-by-step explanation:
That would be (1/2)(x³ - 3).
The expression ' one-half difference of a number cubed and one' is written as [tex]\frac{1}{2} (x^3 - 1)[/tex].
Let the number be [tex]x[/tex].
The cube of the number is [tex]x^3[/tex].
Difference of the cube of the number with [tex]1[/tex] is [tex]x^3 - 1[/tex].
Now, one-half difference of a number cubed and one is represent as,
[tex]\frac{1}{2} (x^3 - 1)[/tex].
So, the expression ' one-half difference of a number cubed and one' is written as [tex]\frac{1}{2} (x^3 - 1)[/tex].
Learn more about expressions here:https:
//brainly.com/question/13947055?referrer=searchResults
What percent is represented by the shaded area
Answer:
the answer is 25%
Step-by-step explanation:
100% : 4 =25
What are two numbers that multiply to -90 but add up to 1?
I'm so bad at facts ;-;
10 and -9. 10 times -9 equals -90 and 10+ -9 equals 1
3n-7/6=2n+5/3 n=what
[tex]\frac{3n-7}{6}=\frac{2n+5}{3}[/tex] Multiply 3 and 6 on both sides to get rid of the fraction (or cross multiply)
[tex]\frac{3n-7}{6}(3)=\frac{2n+5}{3} (3)[/tex]
[tex]\frac{3n-7}{6}(3)(6)=(2n+5)(6)[/tex]
3(3n - 7) = 6(2n + 5) Distribute/multiply 3 into 3n-7, and 6 into 2n+5
(3)3n - (3)7 = (6)2n + (6)5
9n - 21 = 12n + 30 Subtract 9n on both sides
-21 = 3n + 30 Subtract 30 on both sides
-51 = 3n Divide 3 on both sides
-17 = n
Answer:
n = 17/6 = 2.833
Step-by-step explanation:
Step by step solution :
Step 1 :
5
Simplify —
3
Equation at the end of step 1 :
7 5
(3n - —) - (2n + —) = 0
6 3
Step 2 :
Rewriting the whole as an Equivalent Fraction :
2.1 Adding a fraction to a whole
Rewrite the whole as a fraction using 3 as the denominator :
2n 2n • 3
2n = —— = ——————
1 3
Equivalent fraction : The fraction thus generated looks different but has the same value as the whole
Common denominator : The equivalent fraction and the other fraction involved in the calculation share the same denominator
Adding fractions that have a common denominator :
2.2 Adding up the two equivalent fractions
Add the two equivalent fractions which now have a common denominator
Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:
2n • 3 + 5 6n + 5
—————————— = ——————
3 3
Equation at the end of step 2 :
7 (6n + 5)
(3n - —) - ———————— = 0
6 3
Step 3 :
7
Simplify —
6
Equation at the end of step 3 :
7 (6n + 5)
(3n - —) - ———————— = 0
6 3
Step 4 :
Rewriting the whole as an Equivalent Fraction :
4.1 Subtracting a fraction from a whole
Rewrite the whole as a fraction using 6 as the denominator :
3n 3n • 6
3n = —— = ——————
1 6
Adding fractions that have a common denominator :
4.2 Adding up the two equivalent fractions
3n • 6 - (7) 18n - 7
———————————— = ———————
6 6
Equation at the end of step 4 :
(18n - 7) (6n + 5)
————————— - ———————— = 0
6 3
Step 5 :
Calculating the Least Common Multiple :
5.1 Find the Least Common Multiple
The left denominator is : 6
The right denominator is : 3
Number of times each prime factor
appears in the factorization of:
Prime
Factor Left
Denominator Right
Denominator L.C.M = Max
{Left,Right}
2 1 0 1
3 1 1 1
Product of all
Prime Factors 6 3 6
Least Common Multiple:
6
Calculating Multipliers :
5.2 Calculate multipliers for the two fractions
Denote the Least Common Multiple by L.C.M
Denote the Left Multiplier by Left_M
Denote the Right Multiplier by Right_M
Denote the Left Deniminator by L_Deno
Denote the Right Multiplier by R_Deno
Left_M = L.C.M / L_Deno = 1
Right_M = L.C.M / R_Deno = 2
Making Equivalent Fractions :
5.3 Rewrite the two fractions into equivalent fractions
Two fractions are called equivalent if they have the same numeric value.
For example : 1/2 and 2/4 are equivalent, y/(y+1)2 and (y2+y)/(y+1)3 are equivalent as well.
To calculate equivalent fraction , multiply the Numerator of each fraction, by its respective Multiplier.
L. Mult. • L. Num. (18n-7)
—————————————————— = ———————
L.C.M 6
R. Mult. • R. Num. (6n+5) • 2
—————————————————— = ——————————
L.C.M 6
Adding fractions that have a common denominator :
5.4 Adding up the two equivalent fractions
(18n-7) - ((6n+5) • 2) 6n - 17
—————————————————————— = ———————
6 6
Equation at the end of step 5 :
6n - 17
——————— = 0
6
Step 6 :
When a fraction equals zero :
6.1 When a fraction equals zero ...
Where a fraction equals zero, its numerator, the part which is above the fraction line, must equal zero.
Now,to get rid of the denominator, Tiger multiplys both sides of the equation by the denominator.
Here's how:
6n-17
————— • 6 = 0 • 6
6
Now, on the left hand side, the 6 cancels out the denominator, while, on the right hand side, zero times anything is still zero.
The equation now takes the shape :
6n-17 = 0
Solving a Single Variable Equation :
6.2 Solve : 6n-17 = 0
Add 17 to both sides of the equation :
6n = 17
Divide both sides of the equation by 6:
n = 17/6 = 2.833
One solution was found :
n = 17/6 = 2.833
Which shows the numbers $5.25, $0.69, $123.46 rounded to the nearest dollar? A) $5.25, $.70, $124 B) $5.00, $1.00, $123 C) $5.00, $1.00, $124 D) $6.00, $.1.00, $123
Answer:
B) $5.00,$1.00,$123
Step-by-step explanation:
Answer:
B
Step-by-step explanation:
Eric sells shirts. It costs him $100 to buy all the shirts and $10, total, to print designs on them. Eric sells each shirt for $4. So far he has sold 20 shirts. He uses the equation y = 4x − 110 to calculate his profit. In the equation y = 4x − 110, which is the constant term?
A) y
B) 4
C) x
D) −110
Answer:
D) -110
Step-by-step explanation:
x and y are variables, and any number that is in front of a variable (multiplication) is called a coefficient. 4 is the coefficient. x can be substituted. A constant is a number that does not change. -110 is the constant.
Distributive property 7(2n+3)
its 14n+21. 7×2n is 14n, and 3×7 is 21
Answer:
[tex]7(2n+3)=14n+21[/tex]
Step-by-step explanation:
[tex]7(2n+3)=(7*2n)+(7*3)\\\\ 7*2n=14n\\ 7*3=21\\ \\ 7(2n+3)=14n+21[/tex]
Explain what type of function is the best model for the data set and justify your choice. Help???????
Answer:
The function is linear
Step-by-step explanation:
* Lets check from the table the type of the function
- At first check if it is linear or not
- The points are:
(165 , 198) , (168 , 201.6) , (170 , 204) , (172 , 206.4) , (175 , 210)
* Find the slope for each two points if the value of the slop is
constant, then the function will be linear
∵ The slop = (y2 - y1)/(x2 - x1)
∴ m1 = (201.6 - 198)/(168 - 165) = 1.2
∴ m2 = (204 - 201.6)/(170 - 168) = 1.2
∴ m3 = (206.4 - 204)/(172 - 170) = 1.2
∴ m4 = (210 - 206.4)/(175 - 172) = 1.2
∵ m1 = m2 = m3 = m4
# Note: You can use any to points to find the slope you will
have the same value
∴ The graph of the points is a line with slope 1.2
* The function is linear
Answer:
A linear function is the best model.
The ratio of y to x for the ordered pairs is constant, so the relationship is a direct variation. A direct variation is a type of linear function.
When the data set is plotted, it forms a line.
Step-by-step explanation:
10. Marcia drew a scatter plot comparing the number of people who bought tickets to the school play and
the amount of money raised by the event. She graphed the ordered pairs (number of tickets, money
raised) for each date of the play. Which of the three scatter plots below most likely represents the data?
Answer:
C- graph III
Step-by-step explanation:
The only graph showing a positive trend. If your selling tickets, you'll have an increased profit.
A chemical company makes two brands of antifreeze. The first brand is 45% pure antifreeze and the second brand is 70% pure antifreeze. In order to obtain 150 gallons of a mixture that contains 55% pure antifreeze, how many gallons of each brand of antifreeze must be used?
First brand: ____ gallons
Second brand: ___ gallons
Answer:
First brand(45%): 90 gallons
Second brand(70%): 60 gallons
Step-by-step explanation:
"The first brand is 45% pure antifreeze and the second brand is 70% pure antifreeze. In order to obtain 150 gallons of a mixture that contains 55% pure antifreeze, how many gallons of each brand of antifreeze must be used?
First brand: ____ gallons
Second brand: ___ gallons"
We know that 70 is 15 away from 55, and 45 is 10 away, making this a 10: 15 ratio of 70 to 45 (because the 70 can only counteract the 45 by 10, and the 45 can only counteract the 70 by 15 unless they want to overshoot the 55% average ).
This means that .4*150 is 70% and .6*150 is 45%
This means there is First brand: 90 gallons
Second brand: 60 gallons
Jenny will roll a number cube, numbered 1-6, twice. What is the probability of rolling an odd number, then an even number?
Answer:
1/2
Step-by-step explanation:
1,3,5: 3/6
2,4,6: 3/6
6/12
Find the median of the set of data.
23 18 67 32 54 41 70 11 56 33 41 58
35
56
42
41
41 there are 12 numbers take middle
Hi
The answer is 41
11 18 23 32 33 =41= 54 56 58 67 70
Answer:
42
Step-by-step explanation:
23+18+67+32+54+41+70+11+56+33+41+58=504
(There's 12 sets of numbers)
504/12=42
Find the slope and y-intercept of the line. y=-x+7
Answer:
slope = - 1, y- intercept = 7
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
y = - x + 7 ← is in slope- intercept form
with slope m = - 1 and y- intercept c = 7
The slope of the line y = -x + 7 is -1, and the y-intercept is 7.
To determine the slope and y-intercept of the line given by the equation y = -x + 7, we first recognize that it is in slope-intercept form, which is y = mx + b.
Identify the slope (m): In the equation y = -x + 7, the coefficient of x is -1. Thus, the slope of the line is -1.
Identify the y-intercept (b): The constant term in the equation is 7. Thus, the y-intercept is 7, meaning the line intersects the y-axis at the point (0, 7).
The slope of the line y = -x + 7 is -1, and the y-intercept is 7.
in triangle ABC, what is the measure of angle C
It is any fraction except 0 of 180°.
Answer:
36 degrees
Step-by-step explanation:
Find the solution to the system of equations. You can use the interactive graph below to find the solution.
{21x + 7y = 42
{-5x + 5y = 10
X =
Y =
X=1 and
Y=3
Look at the image attached to see what I did
X = 1
Y = 3
Hope this helps!
Given z1 = -3
[tex] \sqrt{3} [/tex]
+ 3i and z2 = 6cos150° + 6isin150°, use complete sentences to explain why z1 = z2. Explain the steps of your work for full credit.
Answer:
See explanation
Step-by-step explanation:
The given complex number are:
[tex]z_1=-3\sqrt{3}+3i[/tex]
and
[tex]z_2=6\cos 150\degree+6i\sin 150\degree[/tex]
When we rewrite [tex]z_1=-3\sqrt{3}+3i[/tex] in complex form, we obtain;
[tex]z_1=r(\cos \theta+i\sin \theta)[/tex]
where
[tex]r=\sqrt{(-3\sqrt{3})^2+3^2 }=\sqrt{36}=6[/tex]
and
[tex]\theta=tan^{-1}(\frac{y}{x})[/tex]
[tex]\implies \theta=tan^{-1}(\frac{-3\sqrt{3}}{3})=150\degree[/tex]
Hence,
[tex]z_1=6(\cos 150\degree+i\sin 150\degree)[/tex]
[tex]z_1=6\cos 150\degree+6i\sin 150\degree[/tex]
Hence
[tex]z_1=z_2[/tex]
A birdhouse has a shadow that is 12 feet long.
Jin is 5 feet tall, and he is standing next to the birdhouse.
Jin has a shadow that is 3 feet long.
Use this information to complete the statement about the birdhouse.
Math item stem image
CLEAR CHECK
The height of the birdhouse is
feet.
Answer:
20
Step-by-step explanation:
Set up ratios
for the shadows- 12:3, or 4:1
then height=4*5, or 20
Answer:20 feet
Step-by-step explanation:
5/3 = x/12
Use butterfly method.
3x = 60
x = 20
What is the solution to the system of equations?
Answer:
There are infinitely many solutions. It is the same line.
Step-by-step explanation:
If you start by multiplying the first equation by 2 to get rid of the fractions, you get -x + y = -2. If you solve it for y, you get y = x - 2. The second equation can be solved for y also, giving you y = x - 2. That means they are the same line and the solution to this situation is infinitely many solutions because all the points on one line are identical to the points on the other line because they are the same line.
Choose the TRUE statements.
The absolute value of a number 35 units to the left of zero on a number line is 35.
The absolute value of a number 49 units to the left of zero on a number line is −49.
The absolute value of a number 12 units to the left of zero on a number line is 12.
The absolute value of a number 125 units to the right of zero on a number line is 125.
Answer:
The absolute value of a number 35 units to the left of zero on a number line is 35.
The absolute value of a number 12 units to the left of zero on a number line is 12.
The absolute value of a number 125 units to the right of zero on a number line is 125.by-step explanation:
Correct:
The absolute value of a number 35 units to the left of zero on a number line is 35.
The absolute value of a number 12 units to the left of zero on a number line is 12.
The absolute value of a number 125 units to the right of zero on a number line is 125.
Wrong:
The absolute value of 49 units to the left of zero on a number line is -49.
This answer is wrong because when u use absolute value, ur final number is always going to be positive, but i this case it’s negative so it wrong.
Have a good day! Hope this helped!!❤️❤️
What is the total number of different 6-letter arrangements that can be formed using the letters in the word QUASAR?
There are 720 different 6-letter arrangements that can be formed using the letters in the word QUASAR, calculated by 6 factorial (6!).
Explanation:The question asks for the total number of different 6-letter arrangements that can be formed using the letters in the word QUASAR. This is a problem of permutations where all the letters are distinct. To find the number of different permutations of the letters in QUASAR, we multiply the number of choices available at each position. There are 6 choices for the first letter, 5 for the second, and so on, until 1 choice for the last letter.
Therefore, the permutations are calculated as 6 × 5 × 4 × 3 × 2 × 1, which is equal to 6! (6 factorial).
The calculation of 6! is as follows:
6 × 5 × 4 × 3 × 2 × 1 = 720.So, there are 720 different 6-letter arrangements that can be formed from the word QUASAR.
Learn more about Permutations here:https://brainly.com/question/23283166
#SPJ2
What is the value of x?
A.30 B.45 C.85 D.90
Answer:
45°
Step-by-step explanation:
This is the inscribed angle, in which the angle is 1/2 of the opposite arc. The opposite arc for this question measures at 90°. Divide by 2.
90/2 = 45
45, or B)45° is your answer.
~
Please help
Me need help
Erode 12 am
answer is 42000(1-.08)^6
Answer:
5)[tex]y=42000(1-0.08)^6[/tex]
6) 25467
Step-by-step explanation:
5) Use the formula;
[tex]y=y_0(1-r\%)^t[/tex]
where [tex]y_0=42000[/tex] dollars is the initial value of the car.
[tex]r\%=0.08[/tex]
and
t=6 years.
We plug in these values to obtain;
[tex]y=42000(1-0.08)^6[/tex]
Third choice is correct
6) The expected value of the car after 6 years is
[tex]y=254666.910[/tex]
We round to the nearest tenth to obtain;$ 25467
Line AB contains (0,4) and (1,6). Line CD contains points (2,10) and (-1,4). Lines AB and CD are
A) parallel, because the slopes are the same
B) perpendicular, because the slopes are the same
C) parallel, because the product of the slopes is -1
D) perpendicular, because the product of the slopes is -1
Answer: parallel because the slopes are the same
Step-by-step explanation:
A cookie recipe requires 3/4 cup of flour to make 1.5 dozen cookies. How much flour is needed to make 1 dozen cookies
Answer:
half a cup of flower -> 1/2
Step-by-step explanation:
i used a proportion to figure this out.
A basketball coach claims that the team's players commit, on average, no more than 10 fouls per game. Let µ represent the team's average number of fouls per game. Another coach thinks that these players create more fouls.
What is the null hypothesis, H0, for this situation?
(B) u ≤ 10
What is the alternative hypothesis, Ha, for this situation?
(B) u > 10
What type of significance test should be used for this situation?
A right-tailed test
These are the correct answers but I don't know the explanations for them someone help me out
Answer:
H0: u ≤ 10
Ha: u > 10
A right-tailed test
Step-by-step explanation:
In hypothesis testing there are two types of hypotheses;
The null hypothesis, H0 and the alternative hypothesis, Ha. The null hypothesis is the hypothesis of no difference and as such it always has an equality sign;
=, ≤, ≥
On the other hand the alternative hypothesis complements the null hypothesis meaning that if the null hypothesis is rejected then we take the alternative hypothesis to be true.
In order to identify the null and alternative hypothesis we look out for specific key words that will provide us with information on the type of inequality sign. In this scenario, the coach claims that the average number of fouls committed per game is no more than 10. Since µ represents the team's average number of fouls per game, this statement can be written in mathematical symbols as;
u ≤ 10, that is u is no more than 10; average number of fouls committed per game is no more than 10.
This statement will be our null hypothesis since it contains an equality sign.
H0: u ≤ 10
The complement of this statement will enable us deduce the alternative hypothesis. The complement of this statement can be found in the claim of the second coach who thinks that these players create more fouls, to be specific more than 10 fouls. In mathematical notation this claim can be written as;
u > 10, more than 10 fouls.
This statement will be our alternative hypothesis since it complements the null hypothesis;
Ha: u > 10
The type of significance test to be carried out in hypothesis testing emanates from the inequality sign of the alternative hypothesis. The following are the key points to note, if the alternative hypothesis contains;
≠, then this automatically becomes a two tailed test
<, then this automatically becomes a left tailed test since the inequality sign is pointing towards the left.
>, then this automatically becomes a right tailed test since the inequality sign is pointing towards the right.
Our alternative hypothesis contains >, hence this will be a right-tailed test .
Answer:
Answer is B
Step-by-step explanation:
prime factorization of 52
Answer:
The first prime factor we test is 2:
52 / 2 = 26
26 / 2 = 13
13 is a prime number so the prime factorization is
2 * 2 * 13 = 52
Step-by-step explanation:
52 is a composite number. 52 = 1 x 52, 2 x 26, or 4 x 13. Factors of 52: 1, 2, 4, 13, 26, 52.