What is x on this right triangle? Round to the nearest tenth.
Answer:
x ≈ 38.7°
Step-by-step explanation:
Using the tangent ratio in the right triangle.
tanx = [tex]\frac{opposite}{adjacent}[/tex] = [tex]\frac{8}{10}[/tex] , thus
x = [tex]tan^{-1}[/tex] ([tex]\frac{8}{10}[/tex] ) ≈ 38.7° ( to the nearest tenth )
Choose the definition, theorem, or postulate that justifies the statement.
A. Definition of a Right Angle
B. Definition of Complementary Angles
C. Congruent Complements Theorem
D. Complement Theorem
E. Definition of Supplementary Angles
F. Definition of Angle Bisector
G. Supplement Theorem
H. Definition of Perpendicular
I. Angle Addition Postulate
J. Vertical Angles Theorem
K. Congruent Supplements Theorem
L. Definition of Congruence
Answer:
E. Definition of Supplementary Angles
Step-by-step explanation:
Multiply the polynomials (3y^3 + 2y^2 – 7y) and (2y^2 – 4y + 4).
Answer:
6 y^5 - 8 y^4 - 10 y^3 + 36 y^2 - 28 y
Step-by-step explanation:
Expand the following:
(3 y^3 + 2 y^2 - 7 y) (2 y^2 - 4 y + 4)
| | | | 3 y^3 | + | 2 y^2 | - | 7 y | + | 0
| | | | | | 2 y^2 | - | 4 y | + | 4
| | | | 12 y^3 | + | 8 y^2 | - | 28 y | + | 0
| | -12 y^4 | - | 8 y^3 | + | 28 y^2 | + | 0 | + | 0
6 y^5 | + | 4 y^4 | - | 14 y^3 | + | 0 | + | 0 | + | 0
6 y^5 | - | 8 y^4 | - | 10 y^3 | + | 36 y^2 | - | 28 y | + | 0:
Answer: 6 y^5 - 8 y^4 - 10 y^3 + 36 y^2 - 28 y
Kelsey must pay $200 to rent a booth at the craft fair. The materials for each pendant cost $7.80, and she plans to sell each pendant for $13.50. To make a profit, she must make more money than she spends. Kelsey has already made 10 pendants. Part A Given that Kelsey has already made 10 pendants, how many additional pendants must she make and sell to make a profit of $50? More pendants to make a $50 profit
Answer:
Kelsey must produce 34 more pendants.
Step-by-step explanation:
Giving the following information:
Fixed costs= $200
Unitary variable cost= $7.8
Selling price per unit= $13.5
Desired profit= $50
To determine the number of units to be sold, we need to use the break-even point in units formula.
Break-even point in units= (fixed costs + desired profit) / contribution margin per unit
Break-even point in units= (200 + 50) / (13.5 - 7.8)
Break-even point in units= 250/5.7
Break-even point in units= 43.86 = 44
Kelsey must produce 34 more pendants.
P=a+b+c solve for b and graph the inequality
I need points can you give me some of your points
It’s the first one that I need help with
Answer:
4x-3(6x-1)=-11Step-by-step explanation:
6x-y=1
-y=-6x+1
y=6x-1
4x-3y=-11
4x-3(6x-1)=-11pleassdee need help I'll brainlist
Answer:
A^2 means a*a
Step-by-step explanation:
A^2 = 5^2=5*5=25
3a^2=3*5^2=3*25=75
A^2+7=5^2+7=25+7=32
To float in water, an object must have a density of less than 1 gram per milliliter. The density of a fresh egg is about 1.2 grams per milliliter. If the density of a spoiled egg is about 0.3 grams per milliliter less than that of a fresh egg, what is the density of a spoiled egg? How can you use water to tell if an egg is spoiled?
Density of fresh egg = 1.2 g/cm³.
Density of spoiled egg = Density of fresh egg - 0.3 g/cm³.
Density of spoiled egg =( 1.2 - 0.3 ) g/cm³ = 0.9 g/cm³.
Now, it is given that any object with density less than 1 g/cm³ will float on water.
To tell whether an egg is spoiled or not using water. We should drop egg in water if it float then it is spoiled else it is fresh.
Hence, this is the required solution.
What is the solution set of the equation below? 3|5 − x| + 2 = 29
Answer:
x=-4
x=14
Step-by-step explanation:
Absolute Value Equation entered :
3|5-x|+2=29
Step by step solution :
STEP
1
:
Rearrange this Absolute Value Equation
Absolute value equalitiy entered
3|-x+5|+2 = 29
Another term is moved / added to the right hand side.
3|-x+5| = 27
STEP
2
:
Clear the Absolute Value Bars
Clear the absolute-value bars by splitting the equation into its two cases, one for the Positive case and the other for the Negative case.
The Absolute Value term is 3|-x+5|
For the Negative case we'll use -3(-x+5)
For the Positive case we'll use 3(-x+5)
STEP
3
:
Solve the Negative Case
-3(-x+5) = 27
Multiply
3x-15 = 27
Rearrange and Add up
3x = 42
Divide both sides by 3
x = 14
STEP
4
:
Solve the Positive Case
3(-x+5) = 27
Multiply
-3x+15 = 27
Rearrange and Add up
-3x = 12
Divide both sides by 3
-x = 4
Multiply both sides by (-1)
x = -4
Which is the solution for the Positive Case
STEP
5
:
Wrap up the solution
x=14
x=-4
Solutions on the Number Line
Two solutions were found :
x=-4
x=14
Michael rents a car for one day. The charge is $30 plus the $0.12 per mile. He wants to spend exactly $105. How many miles can he drive?
Answer:
He can drive 625 miles
Step-by-step explanation:
Total spent: $105
$105- $30 charge = $75
$75/$0.12 per mile charge
= 625 Miles
⦁ The data set shows the number of practice throws players in a basketball competition made and the number of free throws they made in a timed competition. Practice throws 4 10 6 15 0 7 11 Free throws 8 23 9 34 5 11 27 ⦁ ⦁ Use technology to find the equation and coefficient of determination for each type of regression model. Use the number of practice throws for the input variable and the number of free throws for the output variable. Round all decimal values to three places. Model Equation of regression model Coefficient of determination Linear Quadratic Exponential (standard form) ⦁ ⦁ Which model best fits the data set? Explain. Answer:
Answer:
Kindly check explanation
Step-by-step explanation:
Given the data:
Practice throws(X) : 4 10 6 15 0 7 11
Free throws(Y) : 8 23 9 34 5 11 27
Using the online linear regression calculator :
ŷ = 2.1559X + 0.3912
2.1559 = slope
0.3912 = intercept
X = independent variable ; y = dependent variable
The Coefficient of determination (R²) = 0.9506² = 0.9036
Quadratic model : y = 0.0961x²+0.7138x+3.8031
Coefficient of determination(R²) = 0.9739² = 0.9485
Exponential model:
a*b^x
Coefficient of determination (R²) = 0.9753² = 0.9512
The exponential model fits the data best.
1. Which property could you use to change the order of the addends? Use commutative property to rearrange the addens. 2. Which property could you use to change the grouping of the addens 4) Simplify your sum to find the total amount of soup mix. Show your work.
Step-by-step explanation:
Hi, it seems the question is not complete, therefore I'll create an example tailored to the concept of the question you are asking.
1. Cumulative property can be used to change the order of addends and the result remains the same. Therefore the law states that, if a and b are real numbers, then a + b = b + a
Think about adding two numbers, such as 7 and 2.
7 + 2 = 9
2 + 7 = 9
The results are the same.
Notice, the order in which we add does not matter.
2. Associative property, this can be used to regroup addends and the result remains the same: the law states that, if a, b and c are real numbers, then
(a + b) + c = a + (b + c).
Think about three numbers, 4, 3 and 2
(4 + 3) + 2 = 7 + 2 = 9
4 + (3 + 2) = 4 + 5 = 9
The results are the same, notice that the regrouping did not change the final result.
Answer:
Thank You This Helped Alot!
713.49 written in standard form
Answer:
7.1349 * 102
Step-by-step explanation:
Hope this helps. Have a great day!
Original
Point
Reflection Over
The y-axis
(1,4)
Step-by-step explanation:
reflection over the y-axis the values of x will change so it's going to be -1,4
The annual gas bill for a town household are considered to be normally distributed with a mean of $ 1130 and a standard deviation of $ 150. If one household is randomly selected, what is the probability that the gas bill will be between $900 and $1100?
Answer:
The probability is [tex]P(900 < X < 1100) = 0.358102[/tex]
Step-by-step explanation:
From the question we are told that
The population mean is [tex]\mu = \$ 1130[/tex]
The standard deviation is [tex]\sigma = \$ 150[/tex]
Generally the probability that the gas bill will be between $900 and $1100 is mathematically represented as
[tex]P(900 < X < 1100) = P(\frac{900 - 1130 }{150 } < \frac{X - \mu}{\sigma } < \frac{1100 - 1130 }{150 } )[/tex]
=> [tex]P(900 < X < 1100) = P(-1.533 < \frac{X - \mu}{\sigma } < -0.2 )[/tex]
Generally [tex]\frac{X - \mu}{\sigma } = Z (The\ standardized \ value \ of \ X)[/tex]
So
[tex]P(900 < X < 1100) = P(-1.533 < Z< -0.2 )[/tex]
[tex]P(900 < X < 1100) = P( Z< -0.2 ) - P(Z < -1.533)[/tex]
From the z table
[tex]P(Z < -0.2 ) = 0.42074[/tex]
and
[tex]P(Z < -1.533) = 0.062638[/tex]
So
[tex]P(900 < X < 1100) = 0.42074 - 0.062638[/tex]
=> [tex]P(900 < X < 1100) = 0.358102[/tex]
HELP ME PLZZ I NEED HELP WITH THIS!!
Answer:
800-250=550
Step-by-step explanation:
I hope this helped! Please mark as brainliest if i was correct.
Determine whether The relation is a function. Explain.
(-2,-8), (-1,-4), (1, 4), (2, 8), (3, 12)
Answer:
This is a function
Step-by-step explanation:
This is a function because x is not repeated in any of the pairs. As long as x doesn't repeat, it is a function. y can repeat, but not x.
Which translation will change figure QRSTU to figure Q'R'S'T'U'?
A coordinate plane is shown. Polygon QRSTU is composed of points Q, negative 4 comma 4, R, negative 4 comma 2, S, negative 3 comma 1, T, negative 2 comma 2, and U, negative 2 comma 4. Polygon Q prime, R prime, S prime, T prime, and U prime is composed of points Q prime, 1 comma 2, R prime, 1 comma 0, S prime, 2 comma negative1, T prime, 3 comma 0, and U prime, 3 comma 2.
3 units left and 2 units up
3 units right and 5 units down
5 units right and 2 units down
5 units left and 2 units up
I don't know how to put a picture on it
help!
Answer:
It is 5 units to the right and 2 units down
if it helps look at the picture ^
Answer:
5 units Right and 2 units down
Step-by-step explanation:
I took he test and got it correct
3 3/4 x 1 1/10 Multiplying and dividing mixed numbers
Answer:
I hope this is what you were needing the answer to!
The table below shows the median annual salaries in the United States by gender. Use the skills from this lesson to correlate trends in the US from 2000 to 2010 in the number of people who received a bachelor degree to annual salaries by gender.
Assuming a linear relationship between year and salaries by gender, determine when the median annual salary for women will exceed men. Justify your answer. Include in the discussion the regression analysis you performed.
Answer:
Part A:
Y=959.006x=33366.667 (MEN)
Y=909.527x=25823.2 (WOMEN)
To simplify/find value of x: (SUBTRACT)
Y=959.006x=33366.667
Y=909.527x= 25823.2
After subtracting you should get:
Y=49.479x+7543.467
Part B:
This statement is not true because the amount of bachelor degrees for women exceeded the men and will continue to. However, the annual salaries for the men will continue to increase and will always be higher than the women’s annual salaries.
Step-by-step explanation:
I ended up getting a 90% on this project...so I hope these are correct.
I hope this helps!! Have a great day!! : )
BTW...if yall have any questions for school (it can be any grade level or subject) just comment here and I will get to it as soon as I can!! <3
In this exercise we have to use the knowledge of finance to identify the wrong statement and fix it:
A)[tex]Y=49.479x+7543.467[/tex]
B)This statement is not true.
A) The linear relationship will be:
[tex]Men\\959.006\\33366.667[/tex] [tex]Women\\909.527\\25823.2[/tex]
After subtracting you should get:
[tex]Y=49.479x+7543.467[/tex]
B)This statement is not true because the amount of bachelor degrees for women exceeded the men and will continue to. However, the annual salaries for the men will continue to increase and will always be higher than the women’s annual salaries.
See more about finances at brainly.com/question/10024737
Find DE
3x - 28
D
3x - 30
х
G
E
F
33
Answer:
EG= 18
Step-by-step explanation:
Please see the attached picture for the full solution.
-5(m + 1) + 7m -1. it is simple
Answer:
2m - 3
I hope this helps!
A submarine is 150 feet below sea level and then descends 850 feet before rising 35 feet and leveling out. At what depth is the submarine when it levels out?
Simplify: (16x^3– x² + 3)-(-12x^3 + 3x^2 + 2)
Answer:
[tex]28x^{3} - 4x^{2} + 1[/tex]
I hope this helps!
Answer:
28x^3-4x^2+1
Step-by-step explanation:
Please make me Brainliest
3. A sari is sold for $60 thereby making a profit of 20% on the cost
price. What was the cost price?
Answer:
The cost price was $48
Step-by-step explanation:
60-20%=48
hope it helps :)
Answer:
50
Step-by-step explanation:
60-x*100=20
6000-100x=20x
6000=20x+100x
6000= 120x
x= 6000/120
x= 50
1. If what you gain daily continues in this manner, how much gain can you expect at the end of the week?
2. Is your gain shows a pattern? If yes, find its general rul
3. Using the general rule, compute for your expected gain at the end of 30 days.
29 2/3 divide 7 1/2
what’s the answer
Answer:2 5/42 or 89/42
Step-by-step explanation:
45 + 15(n − 1) for n = 6
Answer:
120
Step-by-step explanation:
45 + 15 (6 -1)
45 + 15 (5)
45 + 75
120
Given f(x) = -x + 3, solve for x when f(x) = 4.
Answer:
x=-1
Step-by-step explanation:
f(x)=f(x)
-x+3=4
10 POINTS
Find intercepts and interpret their meaning.
Assignment
What is the x-intercept?
Answer:
-4
Step-by-step explanation:
The x- intercept is -4 because it is where the line crosses the x-axis.