Please help!!!
Simplify: (sin 0 - cos 0)2 + (sin 0 + cos 0)2 (5 points)
Select one:
a. 1
b. 2
c. sin^2theta
d. cos^2theta
Answer:
B
Step-by-step explanation:
(To save time, I'm going to use x instead of θ)
So we have the expression:
[tex](\sin(x)-\cos(x))^2+(\sin(x)+\cos(x))^2[/tex]
First, expand these binomials:
[tex]=(\sin^2(x)-2\sin(x)\cos(x)+\cos^2(x))+(\sin^2(x)+2\sin(x)\cos(x)+\cos^2(x))[/tex]
Combine like terms:
[tex]=\sin^2(x)+\sin^2(x)+\cos^2(x)+\cos^2(x)-2\sin(x)\cos(x)+2\sin(x)\cos(x)\\=2\sin^2(x)+2\cos^2(x)[/tex]
Factor out a 2:
[tex]=2(\sin^2(x)+\cos^2(x))[/tex]
The expression inside the parentheses is the Pythagorean Identity:
[tex]\sin^2(x)+\cos^2(x)=1[/tex]
Substitute:
[tex]=2(1)\\=2[/tex]
The answer is B.
A survey asked students at Wilson Academy which status they would prefer—to be happy, healthy, or rich—and how much pressure they felt from their homework. The two-way table of row relative frequencies below shows the data.
Answer:
A. A student who prefers to be healthy is more likely to feel very little pressure from homework than a student who prefers to be rich.
Step-by-step explanation:
Answer:
A THE RIGHT ANSWER
Step-by-step explanation:
Is Figure B a scale copy of Figure A? Choose 1 answer: A. Yes B. No
Answer:
A Yes
Step-by-step explanation:
the ratio is 2:1
Answer:
A. yes
Step-by-step explanation:
Manuel made at least one error as he found the value of this expression. Identify the step in which Manuel made his first error. After identifying the step with the first error, explain the corrected steps and find the final answer.
Answer:
Manuel made his first mistake in step 2 leading to the continuous mistakes
Final answer=185
Step-by-step explanation:
Manuel made at least one error as she found the value of this expression. 2(-20) + 3[5/4(-20)] + 5[2/5(50)] + 4(50) Step 1: 2(-20) + 3(-25) + 5(20) + 4(50) Step 2: (3 + 2)(-20 + -25) + (5 + 4)(20 + 50) Step 3: 5(-45) + 9(70) Step 4: -225 + 630 Step 5: 405 Identify the step in which Chris made her first error. After identifying the step with the first error, write the corrected steps and find the final answer.
2(-20) + 3[5/4(-20)] + 5[2/5(50)] + 4(50)
Step 1: 2(-20) + 3(-25) + 5(20) + 4(50)
Step 2: -40 - 75 + 100 +
200
Step 3: -115 + 300
Step 4: 185
Manuel made his first error in step 2 by combining two different terms into one as he has done
(3 + 2)(-20 + -25) and also (5 + 4)(20 + 50)
Step 2: (3 + 2)(-20 + -25) + (5 + 4)(20 + 50)
Step 3: 5(-45) + 9(70) Step 4: -225 + 630 Step 5: 405
He should have evaluated the terms separately as I have done above, giving us 185 as the final answer in contrast to his 405 final answer.
Select the equivalent expression,
(9^6*7^-9)^-4 =?
Choose 1 answer:
А
9^24*7^-36
B
9^24/7^36
C
7^36/9^24
Answer:
c
Step-by-step explanation:
The expression (9⁶ x 7⁻⁹)⁻⁴ is equivalent to expression 7³⁶ / 9²⁴. Then the correct option is D.
What is an equivalent expression?The equivalent is the expressions that are in different forms but are equal to the same value.
The expression is given below.
⇒ (9⁶ x 7⁻⁹)⁻⁴
Simplify the expression, we have
⇒ (9⁻⁶ x 7⁹)⁴
⇒ 9⁻²⁴ x 7³⁶
⇒ 7³⁶ / 9²⁴
Then the correct option is D.
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How do I solve 3(x+1)=5(x−2)+7?
Answer:
x = 3Step-by-step explanation:
[tex]3\left(x+1\right)=5\left(x-2\right)+7\\Expand\\3x+3 =5x -10+7\\Collect \:like\: terms\\3x-5x = -10+7-3\\-2x = -6\\Divide \:both\:sides\:of\:the\:equation\:by\:-2\\\frac{-2x}{-2} = \frac{-6}{-2}\\ \\x = 3[/tex]
Answer:
x = 3
Step-by-step explanation:
3(x+1)=5(x−2)+7
Use the distributive property to multiply 3 by x+1.
3x+3=5(x−2)+7
Use the distributive property to multiply 5 by x−2.
3x+3=5x−10+7
Add −10 and 7 to get −3.
3x+3=5x−3
Subtract 5x from both sides.
3x+3−5x=−3
Combine 3x and −5x to get −2x
−2x+3=−3
Subtract 3 from both sides.
−2x=−3−3
Subtract 3 from −3 to get −6.
−2x=−6
Divide both sides by −2.
x = -6/2
Divide −6 by −2
x = 3
Las dos compañías cobran el mismo precio por viaje, cada viaje vale $100.00 pesos, los pobladores dicen que uno de los camiones tiene una capacidad de 3 toneladas y el otro de 4 toneladas, en total se hicieron 23 viajes y se transportaron 80 toneladas de tierra.
what is the area of the kite ? PLEASE HELP BEING TIMED
Answer:
7 * 4 / 2 = 28/2 = 14
Step-by-step explanation:
You are timed. I will just give you the formula where its multiplying the Diagonals and dividing by 2.
x= -4 w= 1 z= -3 y= 5
This is the answer!
what is this supposed to be bro pls help
Answer: 1
Step-by-step explanation:
so i put the amount of flour to servings into ratios (fractions)
28:14
9:12
10:13
then I put them into the same denominators
2184:1092
819/1092
840/1092
the first one is the greatest
Square Roots and Cube Roots - Tutorial - Level H
Pepper Jackie has 225 square inches for the area for her square mosaic.
How can she figure out how long each side should be?
Area of a Square
A= 225 in.
S
S
Find the positive square
root of 225.
Divide 225 by 4.
Divide 225 by 2.
She doesn't have enough
information to do this.
Answer:
s = 15 in (positive square root of 225)
Step-by-step explanation:
A = 225 in²
side of square mosaic is sq. root of 225 = 15 in
therefore the side (s) = 15 in
Factorise the following
Answer:
4ny²+4n²-4n-8+y⁴-2y²
HELP!!!!!!!! PLEASE!!!!!! Matthew works as a painter. He is currently doing a project painting a house. He is left with 7 1/5 liters of paint and one wall of a room requires approximately 1 2/3 liters of the paint. How many more walls of the rooms can he paint? A 5 B 4 C 6 D 3
Answer:
C
Step-by-step explanation:
1 2/3*3 = about 5
5+1 2/3= 6 2/3<7 1/5
6 2/3+1 2/3 =8 1/3> 7 1/5
C is the best answer because it is the closest to the total amount of paint
Morgan rewrote the expression 90 + (10 + 4.8) as (90 + 10) + 4.8. How will this change the work that is needed to evaluate the expression? PLZ I NEED THIS PLZ HELP ME
Answer: Because of PEMDAS, the way Morgan rewrote the expression would change the the order of the steps to simplify it.
Step-by-step explanation: PEMDAS is the order of operations and it stands for Parenthesis, Exponents, Multiply, Divide, Addition, and Subtraction. If we simplify Morgan's version of the expression, we would add 90+10 first, which makes 100, then add 4.8 which makes 104.8. We come to the same conclusion when simplifying the original expression, 104.8. The difference is that we add 10+4.8 first and then add it to 90. While in this situation, the outcome was not different, the order of operations was changed.
A spray irrigation system waters a section of a farmer’s field. If the water shoots a distance of 85 feet, what is the area that is watered as the sprinkler rotates through an angle of 60 degrees? Use 3.14 for pi . Round your answer to the nearest square foot, and enter the number only.
Answer:
3,781
Step-by-step explanation:
To solve this problem, we will find the area of the whole circle and use that to find teh area of the 60º section.
First, recognize the formula for the area of a circle:
A = 3.14[tex]r^{2}[/tex]
In this scenario, the radius (r) is 85 feet:
A = 3.14(85[tex])^{2}[/tex]
A circle is 360º and we only require the area of 60º. 360º / 60º = 6 so we will divide by 6:
A = [tex]\frac{3.14(85)^{2} }{6}[/tex]
Finally, we will simplify and round:
A = 3,781
PLEASSSSSEEE HELPPP ASPPP PLEASEEE
Answer:
x=1
i hope this helps!
Step-by-step explanation:
x+2/-1 =3
x+2 (1) =3
x+2 = 3
x=1
The row-echelon form of the augmented matrix of a system of equations is given.Find the solution of the system
Answer:
x = 9/4
y = 3/5
z = 2/3
w = -9/5
Step-by-step explanation:
Technically, the matrix is in reduced row echelon form. If there are zeros above and below the ones, it is RREF. If there are zeros only below the ones, then it's REF.
Since it is in RREF, the augmented numbers to the right of the bar are already your solutions. Simply label the variables.
5x+4(-x-2) = -5x + 2(x-1)+12 solve for x
Hello!
Answer:
[tex]\huge\boxed{x = 4.5}[/tex]
Starting with:
5x + 4(-x - 2) = -5x + 2(x - 1) + 12
Distribute terms outside of the parenthesis:
5x + 4(-x) + 4(-2) = -5x + 2(x) + 2(-1) + 12
5x - 4x - 8 = -5x + 2x - 2 + 12
Combine like terms:
x - 8 = -3x + 10
Isolate for the "x" variable by adding 3x for both sides:
4x - 8 = 10
Add 8 to both sides:
4x = 18
Divide both sides by 4:
x = 18/4
x = 4.5
Hope this helped! :)
Answer:
[tex] \boxed{x = 4.5}[/tex]
Step-by-step explanation:
[tex] \mathrm{5x + 4( - x - 2) = - 5x + 2(x - 1) + 12}[/tex]
Distribute 4 through the parentheses
Similarly, Distribute 2 through the parentheses
[tex] \mathsf{ 5x - 4x - 8 = - 5x + 2x - 2 + 12}[/tex]
Collect like terms
[tex] \mathsf{ x - 8 = - 3x - 2 + 12}[/tex]
Calculate the sum
[tex] \mathsf{x - 8 = - 3x + 10}[/tex]
Move variable to L.H.S and change its sign
Similarly, Move constant to R.H.S and change its sign
[tex] \mathsf{ x + 3x = 10 + 8}[/tex]
Collect like terms
[tex] \mathsf{4x = 10 + 8}[/tex]
Calculate the sum
[tex] \mathsf{4x = 18}[/tex]
Divide both sides of the equation by 4
[tex] \mathsf{ \frac{4x}{4} = \frac{18}{4}} [/tex]
Calculate
[tex] \mathsf{x = 4.5}[/tex]
Hope I helped!
Best regards!
help me with this promblem THXXXX
Function 1 = negative y intercept
Function 2 = positive y intercept
====================================================
Explanation:
A. This is false because function 2 has a positive y intercept. Each time x goes up, y goes down. Reverse this and decreasing x leads to increasing y.
B. False. Function 1 has a negative y intercept. The y intercept occurs where the diagonal line crosses the y axis.
C. True. The graph shows a negative y intercept. The y intercept of function 2 is (0,2).
D. False. This contradicts choice C.
Type the correct answer in the box. Use numerals instead of words.
Consider this expression.
When and , the value of the expression is
Answer:
-2, 6
Step-by-step explanation:
(x - 6)(x + 2) = 0
x - 6 = 0 x+ 2 = 0
x = 6 x = -2
The values of x that would result in the given expression being equal to 0, in order from least to greatest, are -2 and 6.
look at the image to get ur question thank u for ansering
Answer:
y = 3x + 3
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 )
Calculate the slope using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (0, 3) and (x₂, y₂ ) = (- 1, 0) ← 2 points on the line
m = [tex]\frac{0-3}{-1-0}[/tex] = [tex]\frac{-3}{-1}[/tex] = 3
The line crosses the y- axis at (0, 3) ⇒ c = 3
y = 3x + 3 ← equation of line
Nikki gathered data about the length of time she spent listening to the radio and the number of commercials she heard. She organized the data in a scatter plot, where x represents the minutes spent listening and y represents the number of commercials. Then she used the graphing tool to find the equation of the line of best fit: y = 0.338x − 1.387. Based on the line of best fit, for approximately how many minutes will Nikki need to listen to the radio to hear 20 commercials?
Answer:
The number of minutes Nikki needs to listen to the radio to hear 20 commercials is 63.275 minutes
Step-by-step explanation:
The given dependent and independent variables are;
The number of minutes spent by Nikki listening = x
The number of commercials aired = y
The relationship between the independent variable, x ans the dependent variable, y, was given by the Nikki's graphing tool line of best fit as follows;
y = 0.338·x - 1.387
Therefore, the number of minutes, x, Nikki needs to listen to the radio to hear 20 commercials, y is given as follows;
20 = 0.338·x - 1.387
20 + 1.387 = 0.338·x
0.338·x =20 + 1.387 = 21.387
x = 21.387/0.338 = 63.275 minutes
The number of minutes, x, Nikki needs to listen to the radio to hear 20 commercials, y = 63.275 minutes.
Answer:
C. 63 minutes
Step-by-step explanation:
A transformation T : (x, y) (x + 3, y + 1). The preimage of the point (4, 3) is (-1, -2) (7, 4) (1, 2)
Answer:
(1, 2)
Step-by-step explanation:
'Undo' the rule on the image to get the pre-image.
[tex](4,3)\rightarrow(4-3,3-1)\rightarrow\boxed{(1,2)}[/tex]
(1,2) would be the pre-image to (4,3).
To see if it's correct:
[tex](1,2)\rightarrow(1+3,2+1)\rightarrow(4,3)[/tex]
(1,2) should be correct.
Answer:
the correct answer is (1,2)
Step-by-step explanation:
solve for y. -y/3 = -23 simplify your answer as much as possible
Answer:
69
Step-by-step explanation:
-y/3 = -23
=> -y = -23 x 3
=> -y = -69
=> y = 69
Answer:
69
Step-by-step explanation:
We multiply both sides of the equation by 3 to cancel out the denominator. That gives us -y=-69. Since we cannot have a negative variable, we change the values on both sides, giving us y=69
Complete the equation. Answer as a fraction in its simplest form.
9xy * (2/3x)*3 = ( [ ] a0 / [ ] a1 ) x*4y
Answer:
a0 = 8a1 = 3Step-by-step explanation:
[tex]9xy\cdot(\frac{2}{3}x)^3=3^2xy\cdot\dfrac{2^3x^3}{3^3}\\\\=\dfrac{8}{3^{3-2}}x^4y=\boxed{\dfrac{8}{3}}x^4y[/tex]
__
The applicable rules of exponents are ...
(ab)^c = (a^c)(b^c)
(a^b)/(a^c) = 1/(a^(c-b))
Which of the variable expressions below is a trinomial with a constant term? A. 3x5 – 2x3 B. x5 – 3x2 + 5x C. 7x6 + 2x4 – x3 + 7 D. 4x2 – 3 + x3
Answer:
Option (D)
Step-by-step explanation:
Option (A).
3x⁵ - 2x³
There are two terms with the variable 'x' in the given expression. therefore, it's a binomial with no constant term.
Option (B).
x⁵ - 3x² + 5x
This expression has three terms with variable 'x'.
Therefore, it's a trinomial without no constant term.
Option (C).
7x⁶ + 2x⁴ - x³ + 7
It's a quadrinomial having 4 terms. '7' is the constant term in the given expression.
Option (D).
4x² + x³ - 3 ≈ x³ + 4x² - 3
It's a trinomial with a constant term 3.
Therefore, Option (D) is the answer.
If you vertically compress the linear perent function, F(x) = x, by multiplying by 1\2
what is the equation of the new function?
Answer: [tex]y=\dfrac12 x[/tex] .
Step-by-step explanation:
We know that [tex]a f (x)[/tex] compresses f(x) vertically such that
if 0 < a < 1 (a fraction), the graph is compressed vertically by a factor of a units.if a > 1, the graph is stretched vertically by a factor of a units.If we vertically compress the linear parent function, F(x) = x, by multiplying by [tex]\dfrac12[/tex].
Then, the equation of the new function is [tex]y=\dfrac12 F(x)=\dfrac12 x[/tex] .
i.e. [tex]y=\dfrac12 x[/tex] .
The chess club has 18 students. How many different teams of 4 can be formed for competition?
A. 3,060
B. 18,360
C. 73,440
The number of 3060 teams of 4 can be formed for competition.
The correct answer is A.
What is a combination?A combination is a selection of all or a portion of a group of items, regardless of the sequence in which the items are chosen.
Given:
The chess club has 18 students.
To find the number of combination of teams of 4 can be formed for competition:
¹⁸C₄
Solving the combination,
¹⁸C₄
= 18! / 4! x (18-4)!
= 18! / 4! x 14!
= 18 x 17 x 16 x 15 / 4 x 3 x 2 x 1
= 3060
Therefore, the number of teams are, 3060
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If the production rate is 975 brownies per hour at a bakery, how many brownies will be produced in an 8 hour shift?
Answer:
7800 brownies will be produced in an 8 hour shift
Step-by-step explanation:
Given : The production rate is 975 brownies per hour at a bakery
To Find : how many brownies will be produced in an 8 hour shift?
Solution:
No. of brownies produced in 1 hour = 975
We are supposed to find No. of brownies produced in 8 hour
No. of brownies produced in 8 hour = 975 x 8=7800
Hence 7800 brownies will be produced in an 8 hour shift
Hope this helps ФωФ
i need help with this question please :(
Answer:
C
Step-by-step explanation:
[tex](2^7 \cdot 3^{-5}\cdot 9)^4[/tex]
Use the Power of a Product Property, where:
[tex](ab)^n=a^nb^n[/tex]
Therefore:
[tex](2^7 \cdot 3^{-5}\cdot 9)^4\\=(2^7)^4\cdot(3^{-5})^4\cdot(9)^4\\=2^{28}\cdot3^{-20}\cdot9^4[/tex]
Type the correct answer in the box. Use numerals instead of words. If necessary, use / for the fraction bar.
Answer:
2/5
Step-by-step explanation:
First for the sum:
3/5 + 1/5 i + 4/5 - 2/5 i = 7/5 - 1/5 i
Now for the difference
9/5 - 1/5 i - (7/5 - 1/5 i)
= 9/5 - 1/5 i - 7/5 + 1/5 i
= 2/5 , which is the answer :)
The answer is 2/5.
To find the fraction bar in the box.
What is fraction?A fraction is a part of a whole. In arithmetic, the number is expressed as a quotient, in which the numerator is divided by the denominator. In a simple fraction, both are integers. A complex fraction has a fraction in the numerator or denominator. In a proper fraction, the numerator is less than the denominator.
Given that:
First for the sum:
3/5 + 1/5 i + 4/5 - 2/5 i = 7/5 - 1/5 i
Now substract the sum,
9/5 - 1/5 i - (7/5 - 1/5 i)
= 9/5 - 1/5 i - 7/5 + 1/5 i
= 2/5
So, the answer is 2/5.
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