Answer: -46
Step-by-step explanation:
[tex]u_1=50=50-(1-1)*4\\u_2=46=50-(2-1)*4\\u_3=42=50-(3-1)*4\\...\\\\u_n=50-(n-1)*4\\\\\\u_{25}=50-(25-1)*4=-46\\\\\\Answer\ -46\\[/tex]
Circle the graphs of the functions.
How did you know which graphs showed a function?
i will mark brainliest
Answer:
Step-by-step explanation:
Relations are only functions if they do not share any x values at all! The 2 graphs there that do not have any of the same x values are graphs A and D. Notice that on graph B, there are several y values that share the x value of 2; on graph C, there are several y values that share the x value of 2.
Answer:
A and D only
Step-by-step explanation:
A function is a relation where each input has its own output ( each x values has its own corresponding y value ) If an input has more than one output than the relation is not a function.
We can tell if a graph shows a function or not by using the vertical line test. If you draw vertical lines on the graph and more than one point is on the vertical line drawn then the graph does not show a function.
For graph B if you draw a vertical line at x = -2 more than 1 point will be on the line meaning that the graph does not show a function.
For Graph C if you draw a vertical line at x = 2 more than 1 point will be on the line meaning that Graph C also does not show a function.
For Graphs A and D you can draw a vertical line anywhere on the graph and no more than 1 point will be on the line therefore Graphs A and D show functions.
arccos 2x + arccos x = TT/2
How to solve find x ?
arccos(2x) + arccos(x) = π/2
Apply cos to both sides, then expand the right side using the identity I mentioned in a comment:
cos(arccos(2x) + arccos(x)) = cos(π/2)
cos(arccos(2x)) cos(arccos(x)) - sin(arccos(2x)) sin(arccos(x)) = 0
Now think of arccos(2x) and arccos(x) as angles in two right triangles. Let θ = arccos(2x) and φ = arccos(x) (and let's also assume that both have measure between 0 and π/2). These are angles such that
cos(θ) = 2x
cos(φ) = x
In these triangles, you then have
sin(θ) = sin(arccos(2x)) = √(1 - 4x ²)
sin(φ) = sin(arccos(x)) = √(1 - x ²)
while
cos(θ) = cos(arccos(2x)) = 2x
cos(φ) = cos(arccos(x)) = x
So the original equation is transformed to
2x ² - √(1 - 4x ²) √(1 - x ²) = 0
Solve for x :
2x ² = √(1 - 4x ²) √(1 - x ²)
(2x ²)² = (√(1 - 4x ²) √(1 - x ²))²
4x ⁴ = (1 - 4x ²) (1 - x ²)
4x ⁴ = 1 - 5x ² + 4x ⁴
0 = 1 - 5x ²
x ² = 1/5
x = ± 1/√5
Now bearing in mind that we assume 0 < φ < π/2, we should have cos(φ) = x > 0, so we take the positive solution,
x = 1/√5
PLEASE simplfy 8^15÷8^−3
Answer:
8^18
Step-by-step explanation:
We know that a^b ÷ a^c = a^(b-c)
8^15÷8^−3
8^(15 - -3)
8^(15+3)
8^18
Picture shown!
If f(x) = x + 1, and g(x) = 2x,
then
f(g(x)) = [ ? ]x + [ ?]
Answer:
2x+1
Step-by-step explanation:
f(x) = x + 1
g(x) = 2x
f(g(x)) = Replace x in the function f(x) with the function g(x)
f(g(x)) = g(x) +1
= 2x+1
Answer:
f(g(x)) = 2x + 1
Step-by-step explanation:
Substitute x = g(x) into f(x) , that is
f(g(x))
= f(2x)
= 2x + 1
Write the quadratic expressions in the numerator and the
denominator in factored form
4x^2-14x+6/
X^3-7x^2+12x
I have to give 2 Ans form my question so sorry
HELP! TRIGONOMETRY QUESTION!!
Use the law of cosines, which says
189² = 215² + 123² - 2×215×123 cos(∠P)
==> cos(∠P) = 25,633/52,890
==> ∠P ≈ 61.06°
express p/q form of 0.375
Answer:
15/40
Step-by-step explanation:
[tex]0.375 = \frac{375}{1000} \\ \\ = \frac{15}{40} [/tex]
PLEASE HELP ME ANSWER THESE !!!
1 There are 63 students marching in a band, and they’re marching in 7 rows. How many students are in each row?
2 A candy factory made 54 boxes of chocolates. Each box weighs 2 pounds. They packed the boxes in 6 cases with the same number of boxes in each case. How many pounds of chocolates were there in each case?
3 Max bought tools costing $75. He made a $30 down payment and plans to pay off the rest of the money in 5 monthly installments. How much will Max’s monthly payments be?
4 Harry has decided to give his collection of 24 old coins to his four grandsons. John, the oldest, gets half the collection. Walt, Matt, and Richie will divide the remaining coins evenly among themselves. How many coins will each boy receive?
5 Mr. and Mrs. Pierotti are remodeling their kitchen. They need 9 square yards of covering for the floor. Jackson Interiors quoted them a price of $81 for 9 square yards of linoleum. Carpet Master told them that carpeting would cost $6 per square yard. Which is cheaper—the linoleum or the carpeting
Answer:
1)9 2)18 3)9. 4)4. 5)carpeting
Step-by-step explanation:
1) divide 63 by 7 = 9
2)multiply 54 by 2 = 108 total weight of the boxes then divide 108 by 6 to get 18
3) 75 -30 to get remaining amount which is 45 then divide by 5 to get how much he will pay each month which is 9
4 24- 12= 12 the remaining for the 3 and divide by 3 to get 4
5) multiply 6 * 9 which is $54 which is cheaper than the $81
Question 8 If f (2) = (1 + 3) and g (2) VO+ 7, find g (f (x)). 9(f()) = 1 + 10 O g(f ()) = VI + 3 +7 Og(f (x)) = v= + 10 Og(f (2)) = 2? + 10
Answer:
x+10
Step-by-step explanation:
f(x) = (x+3)^2 and g(x) = sqrt(x)+7
g(f(x)) =
Replace f(x) in for x in the function g(x)
= sqrt((x+3)^2)+7
= x+3 +7
= x+10
#1
Solve the system using the elimination method.
x + y- 2z = 5
-x + 2y + z = 2
2x + 3y – z= 9
Answer:x=1, y=2, z=-1
Step-by-step explanation:
x = 1; y = 2; z = -1
This involves solving simultaneous equations using elimination method.
We are given the equations;x + y - 2z = 5 - - - (eq 1)
-x + 2y + z = 2 - - - (eq 2)
2x + 3y – z = 9 - - - (eq 3)
Looking at the 3 equations, let's multiply equation 2 by 3 and multiply eq 1 and eq 3 by 1 to get;x + y - 2z = 5 - - - (eq 4)
-3x + 6y + 3z = 6 - - - (eq 5)
2x + 3y – z = 9 - - - (eq 6)
Add eq 4, 5 & 6 together to get;
10y = 20
y = 20/10
y = 2
Similarly, let's repeat this proves by multiplying eq 1 by -1 and eq2 & eq 3 by 1 to get;-x - y + 2z = - 5 - - - (eq 7)
-x + 2y + z = 2 - - - (eq 8)
2x + 3y – z = 9 - - - (eq 9)
Add eq 7, 8 and 9 together to get;
4y + 2z = 6
From earlier, we saw that y = 2. Thus;
4(2) + 2z = 6
8 + 2z = 6
2z = 6 - 8
2z = -2
z = - 2/2
z = - 1
Putting -1 for z and 2 for y into;
x + y - 2z = 5
Gives; x + 2 - 2(-1) = 5
x + 4 = 5
x = 5 - 4
x = 1
Thus; x = 1; y = 2; z = -1
Read more at; brainly.in/question/18335432
what is the answer to 4.7 x 10^-8
Answer:
0.000000047
Step-by-step explanation:
Please help solve this. 10points worth it
Answer:
The function is a growth function so I guess A, B and D
suggest a growth curve
Step-by-step explanation:
what is |x-4| if x>4
Answer:
x-4
Step-by-step explanation:
If x>4, |x-4|>0 which means |x-4|=x-4
PLEASE HELP!! Important test!! Option 1 isn't coming up so if you could try to solve others that would be great!
Answer:
4
Step-by-step explanation:
Func 2 is -2
Func 3 is 1
Func 4 is 8
Func 1 is unknown
4x+5x+7+x+2 Combine like terms
Answer:
10x+9
Step-by-step explanation:
Since 4, 5, and 1x are all x terms you add them up. So 4x+5x+1x=10x. The same goes for 7 and 2, except they are non-x terms. So 7+2= 9. That means that the final answer is 10x+9.
Hope this helps!
13 Water is pulled up from a well in a bucket on a rope. The rope winds on a cylindrical drum 15 cm in diameter. It takes 28 turns of the drum to pull the bucket up from the bottom of the well. How deep is the well? (Use the value 2 for m.)
Solve the proportion below.
Answer:
Does the answer help you?
Points A, B, and C are collinear. Point B is between A and C. Solve for x. Find x if BC = 2x+10, AC = x+21, and AB = 11.
the answer choices:
*0 *-4 *-11 *-1
Answer:
x = 0
Step-by-step explanation:
Since the points are collinear , then
AB + BC = AC , that is
11 + 2x + 10 = x + 21
2x + 21 = x + 21 ( subtract x from both sides )
x + 21 = 21 ( subtract 21 from both sides )
x = 0
Solve for x: two thirds plus one third times x equals two times x
NEED ANSWER ASAP DUE INN THREE HOURS
Hey there! I'm happy to help!
Let's write this equation out.
2/3+1/3x=2x
We want to get all of the variables on the left side and all the numbers on the right side so we can see what number x is equal to. First, Let's subtract 2/x from both sides.
2/3+1/3x-2x=0
We subtract 2/3 from both sides.
1/3x-2x=-2/3
We combine our x values.
-5/3x=-2/3
We divide both sides by -5/3.
x=-5
Have a wonderful day and keep on learning! :D
If n equals 5 and b equals 4 what is n + b * 5
Answer:
25Step-by-step explanation:
Given,
n = 5
and, b = 4
Equation:
n + b × 5
= 5 + 4 × 5
= 5 + 20
= 25 (Ans)
I just need help on this and fast
hope this helps you understand the concept
in the first quarter austin played for 4 minutes and 30 seconds. wyatt played for 310 seconds who had more playing time
Answer:
wyatt
Step-by-step explanation:
4:30 mins is 270 seconds
According to the graph what is the value of the constant in the equation below
Answer:
C. 1.5
Step-by-step explanation:
Step-by-step explanation:
Answer:
A box contains cards number 1-10. A card is drawn at random, without replacement, and a second card is drawn. What is the probability that the first number is a multiple of five and the second number is a multiple of three?
Answer:
Step-by-step explanation:
Total outcome is 10 and favorable outcome is 2 ⇒ the probability that the first number is a multiple of five is [tex]\frac{2}{10}[/tex] = [tex]\frac{1}{5}[/tex]
Total outcome is 9 and favorable outcome is 3 ⇒ the probability that the first number is a multiple of three is [tex]\frac{1}{3}[/tex] if first draw was successful, and [tex]\frac{2}{9}[/tex] if the first number was multiple of three.
Using conditional probability, it is found that there is a 0.0667 = 6.67% probability that the first number is a multiple of five and the second number is a multiple of three.
A probability is the number of desired outcomes divided by the number of total outcomes.
Conditional Probability
[tex]P(B|A) = \frac{P(A \cap B)}{P(A)}[/tex]
In which
P(B|A) is the probability of event B happening, given that A happened. [tex]P(A \cap B)[/tex] is the probability of both A and B happening. P(A) is the probability of A happening.In this problem:
Event A: First number is a multiple of 5.Event B: The second number is a multiple of 3.There are 10 numbers, of which 2(5 and 10) are multiples of 5, hence [tex]P(A) = \frac{2}{10} = 0.2[/tex]
Then, supposing a multiple of 5 is taken, there will be 9 numbers, of which 3(3, 6 and 9) are multiples of 3, hence [tex]P(B|A) = \frac{3}{9} = \frac{1}{3} = 0.3333[/tex]
Then:
[tex]P(B|A) = \frac{P(A \cap B)}{P(A)}[/tex]
[tex]P(A \cap B) = P(A)P(B|A)[/tex]
[tex]P(A \cap B) = 0.2(0.3333)[/tex]
[tex]P(A \cap B) = 0.0667[/tex]
0.0667 = 6.67% probability that the first number is a multiple of five and the second number is a multiple of three.
A similar problem is given at https://brainly.com/question/14398287
Algebra 1 need help ASAP
Answer:
see explanation
Step-by-step explanation:
Given
10 - 3x < x + 30 ( subtract x from both sides )
10 - 4x < 30 ( subtract 10 from both sides )
- 4x < 20 ( divide both sides by - 4 and flip the sign )
x > - 5
PLS HELP ME ON THIS QUESTION I WILL MARK YOU AS BRAINLIEST IF YOU KNOW THE ANSWER PLS GIVE ME A STEP BY STEP EXPLANATION!!
The students in Shawn's class got to choose whether to visit the zoo or the aquarium. 3 students went to the zoo and 15 students went to the aquarium. What is the ratio of the number of students who went to the zoo to the number of students who did not go to the zoo?
A. 1:6
B. 1:1
C. 1:3
D. 1:5
Answer:
either it's 1:3 or 1:6
Step-by-step explanation:
3 students went to the zoo, and 15 students went to the aquarium.
15 plus 3 is 18.
3/18 then reduces to 1/6
therefore it is:
1:6
(before, I got my answer deleted so, maybe it is 1:3, but I solved it and got 1:6)
A grocery store is having a "buy 2 get 1 free" promotion on their six-pack cans of orange juice. If Mrs. VanCleave decides to take advantage of this promotion everyday for a week, how many cans of orange juice will she have at the end of the week?
A book, a person and a box cost Rs 45 and Rs 54 respectively . Find the smallest sum of money with which the exact number of books , pens and boxes can be purchased.
Answer:
99
Step-by-step explanation:
If you like my answer than please mark me brainliest
Answer: 99
Step-by-step explanation:
please click thanks and mark brainliest if you like :)
Which decimal is equivalent to 48 over 100
a. 0.048
b. 0.48
c. 4.08
d. 4.8
Answer:
0.48
Step-by-step explanation:
hope it can work for you mark me as a brain liest
I don’t understand how to find the height
Answer:
height, x is 235 ft
Step-by-step explanation:
From trigonometric ratios:
[tex] \cos( \theta) = \frac{adjacent}{hypotenuse} [/tex]
but:
[tex] \theta = 90 \degree - 36 \degree \\ \theta = 54 \degree[/tex]
adjacent is x
hypotenuse is 400 ft
[tex] \ \cos ( 54 \degree) = \frac{x}{400} \\ \\ x = 400 \ \cos (54 \degree) \\ x = 235 \: \: feet[/tex]
Answer:
[tex]235\ ft[/tex]
Step-by-step explanation:
In this problem, one is given two parallel lines and a few transversals that form a triangle between these parallel lines. The parallel lines, one from the parasailer, and one from the boat have an angle of depression between them. This means the angle of elevation from the boat to the parasailer is also (36) degrees. This is due to the alternate interior angles theorem, which states that when two parallel lines are intersected by a transversal, then the alternate interior angles are congruent.
The triangle formed in this situation is a right triangle, this is indicated by the box around one of the angles. Now that one has found another angle measure in this triangle, one can use right angle trigonometry. Right angle trigonometry is a series of ratios that describe the relationship between the sides and angles of a right triangle. These ratios are as follows:
[tex]sin(\theta)=\frac{opposite}{hypotenuse}\\\\cos(\theta)=\frac{adjacent}{hypotenuse}\\\\tan(\theta)=\frac{opposite}{adjacent}[/tex]
Please note that the names (opposite) and (adjacent) are subjective, and change relative to the angle one is looking at, however (hypotenuse) refers to the side opposite the right angle. This side doesn't change its name. In this situation, it would be most logical to use the ratio of sine, (sin), as one has the measure of the hypotenuse, and one is trying to find the measure of the side opposite the angle. Substitute the given information into the ratio of (sin) and solve to find the unknown:
[tex]sin(\theta)=\frac{opposite}{hypotenuse}[/tex]
[tex]sin(36)=\frac{x}{400}[/tex]
Inverse operations,
[tex]sin(36)=\frac{x}{400}[/tex]
[tex]400(sin(36))=x[/tex]
[tex]235.114=x[/tex]
