Please graph y=log3(x+2) and then find the asymptote domain and range
Answer:
Step-by-step explanation:
y = a * log_b (x - h) + k
(h,k) = (x,y)
h = shift right/left
k = shift up/down
Original Points of y = log_3
y = log_3 (x + 2)
h = -2 thus shift left.
Asymptote: x = -2
Domain: [-2 , +inf)
Range: (-inf , +inf)
Please help………………………..
Answer:
(a) sin⁻¹(√35/14)
Step-by-step explanation:
The mnemonic SOH CAH TOA reminds you of the relations between sides and angles in a right triangle. Here, the given sides AB and AC are the side opposite angle C, and the hypotenuse (opposite right angle B). That means the relevant relation is ...
Sin = Opposite/Hypotenuse
sin(C) = AB/AC
__
For this problem, substituting values gives ...
sin(C) = (3√5)/(6√7) = (1/2)√(5/7) = (1/2)(√35)/7 = (√35)/14
C = arcsin((√35)/14)
_____
Additional comment
Choice B can be eliminated on the grounds that the fraction is not reduced to lowest terms. Choices C and D are eliminated because they assume a cosine relation is involved. That is, you can choose the correct answer based on SOH CAH TOA without concerning yourself with the details of the radical expression.
1. Kayla and Heidi each buy a tiger. Kayla pays for her tiger using a $10 bill and two $1 bills. Heidi pays for her tiger using a $20 bill and a quarter. How much change does each girl receive? a tiger costs 11.23$
Answer:
Kayla gets $0.77 back, Heidi gets $9.02 back
Step-by-step explanation:
12 - 11.23 = 0.77 (how I got 12 is the $10 dollar bill and TWO $1 dollar bills)
20.25 - 11.23 = 9.02 (how I got 20.25 is the $20 dollar bill and the quarter which is worth $0.25)
Please help me! I would appreciate it a lot!
Answer:
d
Step-by-step explanation:
John had a bag of marbles as shown below.
What is the probability that John selects a green marble, replaces it, and then selects a
green marble?
3 green marbles
4 blue marbles
2 red marbles
1 yellow marble
A.9/100
B.1/ 10
C.1/15
D.1/50
Answer:
[tex]\sf A) \quad \dfrac{9}{100}[/tex]
Step-by-step explanation:
Given:
3 green marbles4 blue marbles2 red marbles1 yellow marbleTotal number of marbles = 3 + 4 + 2 + 1 = 10
[tex]\sf Probability\:of\:an\:event\:occurring = \dfrac{Number\:of\:ways\:it\:can\:occur}{Total\:number\:of\:possible\:outcomes}[/tex]
Probability of selecting a green marble on first pick:
[tex]\implies \sf P(green\:marble)=\dfrac{3}{10}[/tex]
Probability of selecting a green marble on second pick:
[tex]\implies \sf P(green\:marble)=\dfrac{3}{10}[/tex]
(as the 1st pick was replaced)
Therefore,
[tex]\implies \textsf{P(green marble) and P(green marble)} \sf =\dfrac{3}{10} \times \dfrac{3}{10}=\dfrac{9}{100}[/tex]
THERE ARE 25 CUB SCOUTS IN pACK 584 THE NUMBER OF SCOUTS IS 5 MORE THAN 5 TIMES THE NUMBER OF ADULT LEADERS FIND THE NUMBER OF ADULT LEADERS
The number of the adult leaders will be 4
What will be the number of adult leaders?A Number of cub scouts in troop 584 is = 25 .As per the statement given in the question "The number of scouts is 5 more than five times the number of adult leaders"
Number of scouts = 5(Number of adults) + 5
Here number of scouts = 25
Therefore, the equation will become as
25 = 5(Number of adults) + 5
5(Number of adults) = 25 - 5
5(Number of adults) = 20
(Number of adults) = 20/5=4
Hence the number of the adult leaders will be 4
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need the answer asap
Answer:
The price for ounce is: $0.25 and she bought 16 ounces of straberris
Step-by-step explanation:
If you have 16 ounces and its 4 dollars you do 4/16 to get 0.25
When the sun's angle of elevation is 76°, a tree casts an 18-foot shadow on the ground. Find the length of the tree to the nearest tenth of a foot.
Answer:
56.5 ft
Step-by-step explanation:
See the attached figure which represents the explanation of the problem.
We need to find the length of the tree to which is the length of AD
From the graph ∠BAC = 90° and ∠ABD = 76°, AB = 18 ft
At ΔABD:
∠BAD = ∠BAC - ∠DAC = 90° - 4° = 86°
∠ADB = 180° - ( ∠BAD + ∠ABD) = 180 - (86+76) = 180 - 162 = 18°
Apply the sine rule at ΔABD
∴[tex]\frac{AB}{SinD} =\frac{AD}{sinB}[/tex]
∴ 18/sin 18 = AD/sin 76
∴ AD = 18 * (sin 76)/(sin 18) ≈ 56.5 (to the nearest tenth of a foot)
So, The length of the tree = 56.5 ft.
The answer is 56.5 ft
Would the value of (12 - 4) = 4+1 change if the parentheses were removed? Explain.
Answer:
It would not
Step-by-step explanation:
(12-4)=4+1 would be 8=5
12-4=4+1 would also be 8=5
x + y = 24
5y = x
The solution to the given system of equations is (x,y). What is the value of y?
Answer:
The value of y is 4.
Step-by-step explanation:
Note the system of equation:
x + y = 24
5y = x
First, plug in 5y for x in the first equation:
x + y = 24
(5y) + y = 24
Simplify. Combine like terms. Like terms are terms that have the same amount of the same variable:
(5y + y) = 24
(6y) = 24
Isolate the variable, y. Note the equal sign, what you do to one side, you do to the other. Divide 6 from both sides of the equation:
(6y)/6 = (24)/6
y = 24/6 = 4
Now, plug in 4 for y in one of the given equations in the system of equation:
x + y = 24
x + (4) = 24
Isolate the variable, x. Note the equal sign, what you do to one side, you do to the other. Subtract 4 from both sides of the answer:
x + 4 = 24
x + 4 (-4) = 24 (-4)
x = 24 - 4
x = 20
x = 20 , y = 4
~
Check. Use the other equation. Plug in 4 for y, and 20 for x:
5y = x
5(4) = (20)
5 * 4 = 20
20 = 20 (True)
~
The value of y is 4.
Find the critical value tα/2 that corresponds to a 90% confidence level and a sample size of 7.
a) 1.943
b) 1.645
c) 3.707
d) 1.895
A
Step-by-step explanation:
hope it helps
There are 30
in a
Passengers
bus. 2/3 of them are men then
the percentage of women
is ?
Answer:
33.33....
Step-by-step explanation:
If 2/3 of them are men, then 1/3 are women. I/3=0.333....
To find the percent you multiply by 100 and get 33.3333 and you can write then however your system requests a repeating decimal.
Bear weight loss during hibernation is extreme. Male black bears will typically drop between 17 to 29 percent of their body weight. Let x represent the percent of body weight loss for a male black bear. Suppose that clic follows a uniform distribution. Find the probability that the male will lose between 19.41 and 23.74 percent of their body weight.
Using the uniform distribution, it is found that there is a 0.3608 = 36.08% probability that the male will lose between 19.41 and 23.74 percent of their body weight.
What is the uniform probability distribution?It is a distribution with two bounds, a and b, in which each outcome is equally as likely.
The probability of finding a value between c and d is:
[tex]P(c \leq X \leq d) = \frac{d - c}{b - a}[/tex]
In this problem, male black bears will typically drop between 17 to 29 percent of their body weight, hence the bounds are a = 17 and b = 29.
The probability that the male will lose between 19.41 and 23.74 percent of their body weight is given by:
[tex]P(19.41 \leq X \leq 23.74) = \frac{23.74 - 19.41}{29 - 17} = 0.3608[/tex]
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A sequence of transformations that maps ^RST to ^R'S'T' is a _______ followed by a _____.
Answer: Reflection followed by a translation
Step-by-step explanation:
First, RST is reflected along the x-axis.
Then, RST is translated one unit down into R'S'T' giving us what we're looking for.
Sketch the line passing through the pair of points and identify the line as having a positive slope, a negative slope, a zero slope, or an undefined slope. (6,2) and (1,2)
Answer:
line will be horizontal running through (0,2)
Step-by-step explanation:
6,2
1,2
2-2/1-6 = 0/-5 = 0 slope. 2 = 0x6+b, 2=b. line will be y=b , y=2.
help me pleaseeeeeeeeeeeeeeeeeeeeeeee
(100) What’s the distance of all the sides combined, add the method.
Answer:
10cm2
Step-by-step explanation:
Answer:
As AE and BD intersect:
∠ACB and ∠ECD are vertically opposite angles and are therefore congruent.As AB is parallel to ED:
∠BAC and ∠DEC are alternate interior angle and are therefore congruent.∠ABC and ∠EDC are alternate interior angle and are therefore congruent.Therefore, we can use SSS Similarity Theorem to find the lengths of the sides:
[tex]\sf \dfrac{AC}{EC}=\dfrac{BC}{DC}=\dfrac{AB}{ED}[/tex]
[tex]\implies \sf \dfrac{400}{1000}=\dfrac{300}{ED}[/tex]
[tex]\implies \sf 400 \cdot ED=300 \cdot 1000[/tex]
[tex]\implies \sf ED=\dfrac{300000}{400}=750[/tex]
**The length of BC and CD cannot be determined without knowing an angle**
Therefore, the remainder of the calculations are based on the assumption that ∠BAC and ∠DEC are 90°
If ∠BAC = 90° then BC can be calculated using Pythagoras' Theorem
⇒ AB² + AC² = BC²
⇒ 300² + 400² = BC²
⇒ BC² = 250000
⇒ BC = 500
Using the side ratios stated previously:
[tex]\sf \dfrac{AC}{EC}=\dfrac{BC}{DC}=\dfrac{AB}{ED}[/tex]
[tex]\implies \sf \dfrac{400}{1000}=\dfrac{500}{DC}[/tex]
[tex]\implies \sf 400 \cdot DC=500 \cdot 1000[/tex]
[tex]\implies \sf DC=\dfrac{500000}{400}=1250[/tex]
Therefore, the distance of each side is:
AC = 400 mAB = 300 mBC = 500 mEC = 1000 mED = 750 mDC = 1250 mAssuming the sides are the solid lines marked with arrows only:
⇒ Total distance = AB + BC + DC + ED
= 300 + 500 + 1250 + 750
= 2800 m
Please solve (20 points)
Answer:
104.65 m
Step-by-step explanation:
The plane with the smaller angle of depression is closer to the raft.
Taking the tan values of both planes :
Plane 1 (57°)
tan 57° = 3000 + x / h1.54 = 3000 + x / hh = 3000 + x / 1.54 (Equation 1)Plane 2 (48°)
tan 48° = x / h1.11 = x/hh = x/1.11 (Equation 2)Equate Equations 1 and 2 :
3000 + x / 1.54 = x/1.111.11 (3000 + x) = 1.54x3330 + 1.11x = 1.54x0.43x = 3330x = 77.44 mTaking the sin ratio to find distance :
sin 48° = 77.44/distance0.74 = 77.44/distancedistance = 77.44/0.74distance = 104.65 m16. Farhan bought a bag and a wallet at a discount from a store. He was
given a discount of 30% for the bag. For the wallet, a discount was also
given. He saved a total of $66.60.
He paid a total of $121.40 for the 2 items and paid $46.60 more for the
bag than the wallet.
a) What was the price of the bag without discount?
b) What was the percentage discount given for the wallet?
A) the price of the bag without discount was $120, and B) the discount on the wallet was 45%.
PercentagesGiven that Farhan bought a bag and a wallet at a discount from a store, and he was given a discount of 30% for the bag, and for the wallet, a discount was also given, and he saved a total of $66.60, and he paid a total of $121.40 for the 2 items and paid $46.60 more for the bag than the wallet, to determine A) what was the price of the bag without discount, and B) what was the percentage discount given for the wallet, the following calculations must be performed:
(121.4 - 46.6) / 2 = Wallet37.4 = Wallet1-0.3 = 0.70.7 = 841 = X84 / 0.7 = X120 = X66.6 - (120 - 84) = X66.6 - 36 = X30.6 = X68 = 10037.4 = X37.4 x 100 / 68 = X55 = XTherefore, A) the price of the bag without discount was $120, and B) the discount on the wallet was 45%.
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Answer:A) the price of the bag without discount was $120, and B) the discount on the wallet was 45%.
Step-by-step explanation:
PLEASE HELP quick
………
Answer:
50
Step-by-step explanation:
1/2 x base x height
In this problem: (It's times 2 because I split it up into 2 triangles.)
1/2 x 10 x 5 x 2 =
50
hope this helps
have a good day
2(1 + 4)2 x (9-6)
3
Answer please
2(1+4)2 x (9-6)3
4(5) x 3(3)
20 x 9
180
5/3 ÷ 1/9
list answer below
Answer:
5
Step-by-step explanation:
just calculated and got it
Answer:
15
Step-by-step explanation:
First, change it to multiplication and flip the second fraction
5/3×9/1
Then you multiply 5×9 and 3×1. This gets you 45/3
45/3 can be simplified down to 15 so the answer is 15
Analyze the diagram below and answer the question that follows how much larger is the value for d X then the value of y
[tex]\sf \large \boxed{110 ^\circ}[/tex]
The Image given shows (vertically opposite angles) :1st equation: x + 2y = 502nd equation: x - 2y = 130Make x the subject in first equation:x + 2y = 50x = 50 - 2yInsert this in second equation:(50 - 2y) - 2y = 13050 - 2y - 2y = 130-4y = 130 - 50-4y = 80y = -20Find the value of x:x = 50 - 2yx = 50 - 2(-20)x = 90Difference between them:x - (y)90 - (-20)110three eighths plus four eighths equals
Answer:
7/8 (seven eighths)
Step-by-step explanation:
add the numerators (top numbers) together, to get 7. Leave the denominator (bottom number) alone, since they are the same. Think about it like you're adding two different parts of a whole.
you should get 7/8
hope this helps
For the equations given below, which statement is true?
-3x-8+19
-3x-2=25
A. The equations have the same solution because the second equation can be obtained by subtracting 6 from both sides of the first equation.
B. The equations do not have the same solution because the second equation can be obtained by adding 6 to both sides of the first equation.
C. The equations have the same solution because the second equation can be obtained by subtracting 19 from both sides of the first equation.
D. The equations have the same solution because the second equation can be obtained by adding 6 to both sides of the first equation.
If the equations are the same then the solution will be the same. Then the correct option is D.
What is the linear system?A linear system is one in which the parameter in the equation has a degree of one. It might have one, two, or even more variables.
The linear equations are given below.
-3x - 8 = 19 ...1
-3x - 2 = 25 ...2
Adding 6 on both sides in equation 1, then we have
-3x + 6 - 8 = 19 + 6
-3x - 2 = 25
The equations have the same solution because the second equation can be obtained by adding 6 to both sides of the first equation.
If the equations are the same then the solution will be the same.
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Solve for x in the first equation, then solve the system using substitution. Write your answer as (x, y).
2x-6y=14
4x - y = 9
Answer:
( 18.4, 4.6 )
Step-by-step explanation:
2x - 6y = 14
Add 6y to both sides
2x = 6y + 14
divide both sides by 2
x = (3y + 7)
Substitute this ^ for x in the othe equation
4 (3y + y) - y = 9
distribute the 4
12y + 4y - y = 9
combine like terms
15y = 9
divide both sides by 15
y = 4.6
Now substitute this value for y in the equation we previously substituted .to find the value of x
x = 3 (4.6) + 4.6
x = 13.8 + 4.6
x = 18.4
Hope this makes sense and was helpful!
can you please help me solve the problem
Answer:
a
Step-by-step explanation:
Add this fractions. (It should be mixed number)
−5/6 + (−2 5/8)
Answer:
the awnser is -3 11/24
Step-by-step explanation:
Don't know
-2 5/7
Yan po answer ko inadd ko po by fraction
The number of pupils in Pooti Junior School increased by x% form 800 pupils to 960. Find the value of x
The universal set is the set that contains no elements.
True
False
Answer:
False,
Step-by-step explanation:
The set that contains no elements is the null set Ф.
Answer: True
Step-by-step explanation: Where all inclusive set comprises of a set of all elements, the purge set contains no elements of the subsets.