Answer:
[tex]\displaystyle \theta \approx 36.4[/tex]
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtraction Property of EqualityTrigonometry
[Right Triangles Only] SOHCAHTOA[Right Triangles Only] tanθ = opposite over adjacentInverse TrigStep-by-step explanation:
Step 1: Define
Identify variables
Angle θ
Opposite Leg = 31
Adjacent Leg = 42
Step 2: Find Angle
Substitute in variables [tangent]: [tex]\displaystyle tan(\theta) = \frac{31}{42}[/tex]Inverse Trig: [tex]\displaystyle \theta = tan^{-1}(\frac{31}{42})[/tex]Evaluate: [tex]\displaystyle \theta = 36.4309[/tex]Round: [tex]\displaystyle \theta \approx 36.4[/tex]complete the solution of the equation find the value of y when x equals -11 5x+6y=-37
Answer:
x = - 11
y = 3
Step-by-step explanation:
5x + 6y = - 37
x = - 11
5( - 11) + 6y = - 37
- 55 + 6y = - 37
- 55 + 55 + 6y = - 37 + 55
6y = 18
6y ÷ 6 = 18 ÷ 6
y = 3
Use the image to complete the equation below
Answer:
DPB
Step-by-step explanation:
Verticle angles are congruent
m∠APC = m∠DPB
the value of 1/2 ×3/5 is eqaul to
Answer:
3/10
Step-by-step explanation:
=1/2 *3/5
= 1*3/2*5
= 3/10
hope it helps
a) Draw the graph of y = 4x - 1 on the grid. b) Use the graph to estimate the value of x when y = 1
Hello,
a) photo attached
b) When y = 1, x ≈ 0.5
Verification through calculation :
We have :
y = 4x - 1
⇔ 1 = 4x - 1
⇔ 4x = 2
⇔ x = 2/4 = 0.5
This is just !
:-)
the range of the following relation R {(3, -5), (1,2),(-1,-4),(-12)}
Answer:
The range of the following relation is(-5,2,-4)
Findfind the value of each variable used in the figures if your answer is an integer express it in simples radical form
Answer:
c=2
Step-by-step explanation:
the sides of a 30-60-90 right triangle are in the ratio 1:[tex]\sqrt{3}[/tex]:2
-19x+91=-19x+91−19x+91=−19x+91 how many solutions
Answer:
1 solution.
Step-by-step explanation:
So we can split this into to equations:
-19x+91=-19x+91−19x+91
And
-19x+91−19x+91=−19x+91
Then simplify them to:
19x=91
And
19x=91
The equations are identical, so we only need to solve one.
X = 91/19
X = 4.789
I believe this is right.
What is the inverse of the function below?
f(x) = -2
2.
O A F'(x) = 3(x+2)
OB. F'(x) = 2(x+3)
c. f'() = 3(x - 2)
D. F'(x) = 2(x - 3)
If f(x) = x2 and g(x) = x + 1, what is (fºg)(2)?
1.
5
2.
7
3.
9
4.
12
Answer:
f(x)=x² , g(x)= x+1. f(g(2))?
g(2)
2+1=3
g(2)=3
f(3)
3²=9
f(3)=9
the answer is 9
Answer:
9
Step-by-step explanation:
To find (f ○ g)(2) , evaluate g(2) then substitute the value obtained into f(x)
g(2) = 2 + 1 = 3 , then
f(3) = 3² = 9
Stella is saving up to buy a new video game. She already has $15 and can save an additional $8 per week using money from her after school job. How much total money would Stella have after 8 weeks of saving? Also, write an expression that represents the amount of money Stella would have saved in w weeks .
Answer:
Part A;
$79
Part B;
The amount Stella would have saved in 'w' weeks = 15 + 8·w
Step-by-step explanation:
Part A
The amount of money Stella already has = $15
The amount she can save per week = $8
The total amount of money, 'A', Stella would have after 8 weeks is given as follows;
A = The amount Stella already has + The amount she can save per week × The number of weeks of savings
Therefore;
A = 15 + 8 × 8 = 79
The amount Stella would have after 8 weeks, A = $79
Part B
The expression that represents the amount of money Stella would have saved in w weeks is given as follows;
A = The initial amount Stella has + The amount she can save per week × w (number of weeks)
∴ A = 15 + 8·w.
Helpppp with this math
9514 1404 393
Answer:
x = 8 1/3
Step-by-step explanation:
Put the known values into the equation and solve for x.
f(x) = 3x -1
24 = 3x -1 . . . . . use 24 for f(x)
25 = 3x . . . . . . . add 1 to both sides
25/3 = x . . . . . . divide both sides by 3
The input is x = 8 1/3.
It takes you 45 minutes to wash a car
alone. Your friend can wash a car in 30
minutes. How long will it take you and
your friend to wash a car together? You
can use the work principle to find out!
Answer:
37.5 minutes
Step-by-step explanation:
45+30=75
=75 =37.5
2
This might help you!!!!
Suppose the mean percentage in Algebra 2B is 70% and the standard deviation
is 8%. What percentage of students receive between a 70% and 94% Enter the
value of the percentage without the percent sign.
HELP PLEASE!!
Answer:
49.87%
Step-by-step explanation:
We solve using z score formula
z = (x-μ)/σ, where
x is the raw score
μ is the population mean = 70%
σ is the population standard deviation = 8%
a) For x = 70%
z = 70% - 70%/8%
z = 0
Probability value from Z-Table:
P(x = 70) = 0.5
b) For x = 70%
z = 94% - 70%/8%
z = 3
Probability value from Z-Table:
P(x = 94) = 0.99865
The probability of students that receive between a 70% and 94%
P(x = 94) - P(x = 70)
0.99865 - 0.5
0.49865
Therefore, the percentage of students that receive between a 70% and 94% is
0.49865 × 100
= 49.865%
Approximately = 49.87%
I’m begging you too pls pls pls pls help! I’d appreciate it so much. This is independent work and I have no clue of what this means so pls comment as fast as u can because according to my teacher this was supposed to be due yesterday and I’m just doing it today. Pls help thank you so so so much! Pls don’t waste time thanks again! (Pls help Asap!)
Answer:
his dad was cutting the grass for 1 hour and 4 minutes i hope this helps
Step-by-step explanation:
Help... A store owner collected data about the number of customers who came to the store in a day, y, for several days compared to the high temperature for that day, x. He found that the correlation coefficient was −0.76.
Answer:
strong, negative;
decreased
Step-by-step explanation:
A correlation coefficient that is close to 1, shows a strong association.
If the correlation coefficient is negative, it implies a negative association, meaning as one variable increases, the other decreases.
A positive correlation coefficient shows a positive association between two variables. This implies that as one variable increases, the other increases, or as one decreases, the other decreases as well.
In the case given, we are given that the correlation coefficient obtained is -0.76. This therefore shows a negative association. Also, the value is closer to 1.
This implies that there is a STRONG, NEGATIVE association association between x and y. This is because as the temperature (x) of the day increases across days, the number of customers who patronized the store DECREASED.
solve x and y simultaneously if:
[tex]y + 7 = 2x[/tex]
[tex] {x}^{2} - xy + {3y}^{2} = 15[/tex]
Answer:
make Y the subject in eqn........ 1
y + 7 = 2x
y = 2x - 7...........eqn 3
put y = 2x - 7 into eqn 2
x² - xy + 3y² = 15
x² - x(2x - 7) + 3(2x - 7)(2x - 7) = 15
x² - 2x² + 7x + 3(4x² + 14x -14x + 21) = 15
x² - 2x² + 7x + 12x² + 42x - 42x + 63 = 15
x² - 2x² + 7x + 12x² + 63 = 15
x² - 2x² + 12x² + 7x + 63 = 15
11x² + 7x + 63 - 15 = 0
11x² + 7x + 48 = 0
11x² + 7x = - 48
11x²/11 + 7x/11 = - 48/11
x² + 7x
what is the vaule (x + y)(x + y)
Answer:
x^2+2xy+y^2
Step-by-step explanation:
(x + y)(x + y)
FOIL
first x*x = x^2
Outer x*y = xy
inner: y*x = xy
last y*y = y^2
add together
x^2+xy+xy+y^2
Combine like terms
x^2+2xy+y^2
Answer:
[tex]x^{2}[/tex] + 2xy + [tex]y^{2}[/tex]
Step-by-step explanation:
(x + y)(x + y)
= (x + y)(x + y)
=(x)(x) + (x)(y) + (y)(x) + (y)(y)
= [tex]x^{2}[/tex] + xy + xy + [tex]y^{2}[/tex]
= [tex]x^{2}[/tex] + 2xy + [tex]y^{2}[/tex]
Hope this helps, please mark brainliest. :)
Write the equations of two lines passing through (4,8)
Answer:
Two lines that pass through the point (4, 8) are y = 3·x - 4 and y = -5·x + 28
Step-by-step explanation:
The equation of two lines that passes through the point (4, 8) are found using the general form of a straight line equation, y = m·x + c, where;
m = The slope of the line
c = The y-intercept
Therefore, two distinct line pass through a given point if they have a different slope, m, and a different y-intercept, c, as follows;
Fot the given point, the x-value = 4, and the y-value = 8, we get;
8 = m₁·4 + c₁...Line 1 and
8 = m₂·4 + c₂...Line 2
m₁ ≠ m₂
If we set m₁ = 3, for line 1, we get;
8 = 3 × 4 + c₁ = 8 = 12 + c₁
∴ c₁ = 8 - 12 = -4
c₁ = -4
The equation for Line 1 for all x and y-values, where, m₁ = 3, c₁ = -4, becomes;
y = 3·x - 4
The equation for Line 2 where m₂ = -5 for example, we have;
8 = -5 × 4 + c₂
∴ c₂ = 8 + 5 × 4 = 28
c₂ = 28
The general form for the equation for Line 2 becomes;
y = -5·x + 28
Therefore;
The equation of the two formed lines that pass through the point (4, 8) are;
y = 3·x - 4 and y = -5·x + 28
help me with this please
Answer:
You would choose Merry Berry Fruit Punch.
Step-by-step explanation:
We need to see the ration of fruit to water. To do this we need to divide the concentrate by the water.
Tropic Fresh Fruit Punch: 10/22 or 5/11
Merry Berry Fruit Punch: 6/13
We see that Tropic Fresh Fruit Punch has a ratio of 5/11 while Merry Berry Fruit Punch has a ratio of 6/13. When we have a common denominater, we can see the difference easier.
Tropic Fresh Fruit Punch: 65/143
Merry Berry Fruit Punch: 66/143
6/h −1= −3 again.......
Answer:
ℎ = −3
Step-by-step explanation:
6
ℎ
−
1
=
−
3
\frac{6}{h}-1=-3
h6−1=−3
6
ℎ
+
ℎ
(
−
1
)
ℎ
=
−
3
\frac{6}{h}+\frac{h\left(-1\right)}{h}=-3
h6+hh(−1)=−3
2
Combine fractions with common denominator
6
ℎ
+
ℎ
(
−
1
)
ℎ
=
−
3
\frac{6}{h}+\frac{h\left(-1\right)}{h}=-3
h6+hh(−1)=−3
6
+
ℎ
(
−
1
)
ℎ
=
−
3
\frac{6+h\left(-1\right)}{h}=-3
h6+h(−1)=−3
3
Re-order terms so constants are on the left
6
+
ℎ
(
−
1
)
ℎ
=
−
3
\frac{6+h\left(-1\right)}{h}=-3
h6+h(−1)=−3
6
−
ℎ
ℎ
=
−3
Heather has a weighted coin that has a 60%, percent chance of landing on heads each time it is flipped.
Probability of getting tails when weighted coin is flipped is 2/5
What is probability?Probability can be defined as the ratio of the number of favorable outcomes to the total number of outcomes for an event. For an experiment with 'n' outcomes, the number of favorable outcomes can be denoted by x.
The probability of an event can be calculated by simply dividing the number of favorable outcomes by the total number of possible outcomes using the probability formula. The value of the probability that an event will occur can range from 0 to 1. This is because the preferred number of outcomes can never exceed the total number of outcomes. Also, the resulting favorable number is never negative.
Given,
Chance of getting heads on the weighted coin = 60%
Probability of getting heads = 60/100
Probability of getting heads = 3/5
Probability of getting tails = 1 - 3/5
Probability of getting tails = 2/5
Hence, 2/5 is the probability of getting tails on flipping the weighted coin.
Learn more about probability here:
https://brainly.com/question/30034780
#SPJ7
What is the product of 2x+ 3 and 4x2 - 5x+ 6?
Answer:
8x³ - 25x² - 3x + 18
Step-by-step explanation:
(2x + 3)(4x²- 5x + 6)
multiply 2x by each of the three terms in the second expression to get:
8x³ - 10x² + 12x
now multiply 3 by each of the three terms in the second expression to get:
12x² - 15x + 18
Combine 'like terms': -10x² + (-15x²) = -25x²
Combine 'like terms': 12x + (-15x) = -3x
Put all terms in decreasing exponent order:
8x³ - 25x² - 3x + 18
PLEASE HELP!!!
a. segment AB congruent
segment CD
b. segment AB congruent d. segment BC
c. segment AD congruent segment BC
d. segment AC congruent segment BD
Answer:
A. Segment AB congruent segment CD
C. Segment AD congruent segment BC
Step-by-step explanation:
These are both true because a characteristic of a rhombus is that all four sides are congruent. Therefore we must prove that AB is congruent to CD and AD is congruent to BC.
A pharmaceutical company receives large shipments of ibuprofen tablets and uses an acceptance sampling plan. This plan randomly selects and tests 26 tablets, then accepts the whole batch if there is at most one that doesn't meet the required specifications. What is the probability that this whole shipment will be accepted if a particular shipment of thousands of ibuprofen tablets actually has a 4% rate of defects
Answer:
0.7208 = 72.08% probability that this whole shipment will be accepted.
Step-by-step explanation:
For each tablet, there are only two possible outcomes. Either it meets the required specifications, or it does not. The probability of a tablet meeting the required specifications is independent of any other tablet, which means that the binomial probability distribution is used to solve this question.
Binomial probability distribution
The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
And p is the probability of X happening.
4% rate of defects
This means that [tex]p = 0.04[/tex]
26 tablets
This means that [tex]n = 26[/tex]
What is the probability that this whole shipment will be accepted?
Probability that at most one tablet does not meet the specifications, which is:
[tex]P(X \leq 1) = P(X = 0) + P(X = 1)[/tex]
Thus
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]P(X = 0) = C_{26,0}.(0.04)^{0}.(0.96)^{26} = 0.3460[/tex]
[tex]P(X = 1) = C_{26,1}.(0.04)^{1}.(0.96)^{25} = 0.3748[/tex]
Then
[tex]P(X \leq 1) = P(X = 0) + P(X = 1) = 0.3460 + 0.3748 = 0.7208[/tex]
0.7208 = 72.08% probability that this whole shipment will be accepted.
. Which of the following is equal to
3
?
)
6 −
3 )
6 ×
3
)
6
3
)(
6
)
Answer:
(6-3)=3..............................
need help please! i’m stuck
Answer:
Step-by-step explanation:
stuck under the bed??
lemme jus quickly pull you back....lol
a trapezoid has parallel sides of length 26 mm and 44 mm. its other sides measure 10 mm and 17 mm. what is the length of the bimedian joining the two non parallel sides?
Answer:
35 mm.
Step-by-step explanation:
That would be (26 + 44)/2
= 70/2
= 35 mm.
please please someone help!! im confused on the parentheses part. i will give brainliest and 20 points
Answer:(first term)
a=27(4th term)
T4= a x r^3 = 64
substituting a as 27 in T4
27 x r^3 = 64
r^3 = 64/27
r=4/3
so; a=27, r=4/3
using the general formula of geometric progression,
a x r^n-1
substitute:.
27 x 4/3^n-1
= 27(4/3)^n-1
Answer: (C) HOPE THIS HELPS!
write 17.275102 correct to 3 decimal places
Step-by-step explanation:
17.275 3 decimal plalcesl
1. The length of the container is 16.3 m , breadth 8 m and height 6. 2 m. Calculate the volume of this container.
2. Damarie and Breanna share a reward of $117 at a ratio 1:8. What was Breanna's share?
3. A circle has a circumference of 44 cm, given that π 22/7, calculate the its diameter. *
Answer:
1)
[tex]808.48 \: cubic \: meter[/tex]
2)
[tex]104 \: shiling[/tex]
3)
[tex]14cm[/tex]
Step-by-step explanation:
Length = 16.3m
breadth = 8m
height = 6.2m
volume= Lbh
=(16.3×8×6.2)m
= 808.48 cubic meter