Answer:
(2x-6)+4(x-3)
2x-6+4x-12
6x-18
6(x-3)
Make Sense and Persevere A submarine
descends to of its maximum depth. Then it
descends another of its maximum depth. If it
is now at 650 feet below sea level, what is its
maximum depth?
What are the values of x and y?
image attached. Thank you!
Answer:
C
Step-by-step explanation:
We'll have to use trigonometry for this.
First, note that in right triangle ABC, if we look from the perspective of angle A, the opposite side is x, the adjacent side is y, and the hypotenuse is 18.
In order to find x, then, we must use sine, which is opposite/hypotenuse. So:
sin(A) = sin(60) = opposite/hypotenuse = x/18
sin(60) is equal to (√3)/2, so multiplying both sides by 18 gives:
[(√3)/2] * 18 = 9√3
Already, we can tell that the answer is likely C, but let's find y to make sure.
We will use cosine to find y because cos = adjacent/hypotenuse.
cos(A) = cos(60) = adjacent/hypotenuse = y/18
cos(60) = 0.5, so multiplying both sides by 18 gives:
0.5 * 18 = 9
So, y = 9.
Thus, C is our answer.
~ an aesthetics lover
Answer:
C
Step-by-step explanation:
Using the cosine/ sine ratio in the right triangle and the exact values
cos30° = [tex]\frac{\sqrt{3} }{2}[/tex] and sin30° = [tex]\frac{1}{2}[/tex] , then
cos30° = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{BC}{AC}[/tex] = [tex]\frac{x}{18}[/tex] = [tex]\frac{\sqrt{3} }{2}[/tex] ( cross- multiply )
2x = 18[tex]\sqrt{3}[/tex] ( divide both sides by 2 )
x = 9[tex]\sqrt{3}[/tex]
----------------------------------------------------------
sin30° = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{AB}{AC}[/tex] = [tex]\frac{y}{18}[/tex] = [tex]\frac{1}{2}[/tex] ( cross- multiply )
2y = 18 ( divide both sides by 2 )
y = 9
Thus
x = 9[tex]\sqrt{3}[/tex] and y = 9 → C
The graph shows the height in feet of an object above the ground T seconds after it was launched from the ground.
Answer:
the answer is D
Step-by-step explanation:
The equation y = -16x² + 64x represents the given parabola that represents the height in feet of an object above the ground T seconds after it was launched from the ground.
What is function?A function is a relation between a dependent and independent variable. We can write the examples of functions as -
y = f(x) = ax + b
y = f(x, y, z) = ax + by + cz
Given is a graph that shows the height in feet of an object above the ground {T} seconds after it was launched from the ground.
The given graph is a parabola. A quadratic equation represents a parabola.
The quadratic equation will have two roots at the point on which it cuts the {x} axis.
Consider the equation in option {C} as -
y = -16x² + 64x
For the point (4, 0), we can check the graph as -
0 = - 16 x 4 x 4 + 64 x 4
0 = 0
For the point (0, 0), we can check -
0 = 0 + 64 x 0
0 = 0
Therefore, the equation y = -16x² + 64x represents the given parabola that represents the height in feet of an object above the ground T seconds after it was launched from the ground.
To solve more questions on functions, visit the link below-
https://brainly.com/question/30194223
#SPJ3
At a fabric store, fabrics are sold by the yard. { x + y = 5 ) (17x + 4y = 46) A dressmaker spent $46 on 5 yards of silk and cotton fabrics for a dress. Silk is $17 per yard and cotton is $4 per yard. Here is a system of equations that represent the constraints in the situation. Find the solution to the system of equations. Write it as an ordered pair below. Use the graphing calculator on the next screen to help. Enter each equation on a separate line on the left-hand side to see their graphs. 46x + 5y = 46
Answer:
The dressmaker bought 3 yard of cotter and 2 yards of silk
Step-by-step explanation:
So what you do it just put those equations into a graphing calculator and the point where they intersect is your answer
HELPPP
Given h(x) = 2x + 2, solve for x when h(x) = 4.
Answer:
x = 1
Step-by-step explanation:
2x + 2 = 4
2x = 2
x = 1
Pls pls pls answer I’ll give you the brainlist!
Sorry If I spelled it wrong
Answer:
22
Step-by-step explanation:
You can just put it in your calculator
Answer:
22
Step-by-step explanation:
34 students in Mr. Jones math class passed the final exam. There are 40 students in his class total. What percent of students passed.
help please
30 POINTS! HELP ME PLZZ I NEED HELP WITH THIS!
Answer:
Its should be A.....
Step-by-step explanation:
(Ignore I have to write 20 characters lol)
help asap
show work
i will make u brainlest.
Answer:
1. A
2. D
3. A
4. A
Step-by-step explanation:
Question 1:
Switch sides:
5(5 + 4v) > 105
Divide both sides by 5:
5(5 + 4v) / 5 > 105/5
Simplify:
5 + 4v > 21
Subtract 5 from both sides:
5 + 4v - 5 > 21 - 5
Simplify:
4v > 16
Divide both sides by 4:
4v/4 > 16/4
Simplify:
v>4
Question 2:
Expand:
5m - 3m - 6 < 24 - 3m
Add similar elements:
2m - 6 < 24 - 3m
Add 6 to both sides:
2m - 6 + 6 < 24 - 3m + 6
Simplify:
2m < -3m +30
Add 3m to both sides and simplify:
5m < 30
Divide both sides by 5:
5m/5 < 30/5
Simplify:
m<6
Question 3:
Expand:
18x + 12 ≤ -39 + x
Subtract 12 from both sides and simplify:
18x ≤ x - 51
Subtract x from both sides and simplify:
17x ≤ -51
Divide both sides by 17 and simplify:
x ≤ -3
Question 4:
Add similar elements:
-3m + 5m = 2m
Expand and simplify:
2m ≥ -12m
Add 12m to both sides and simplify:
14m ≥ 0
Divide both sides by 14 and simplify:
m ≥ 0
Liam had a container of oatmeal that contained 5 and one-half cups of oatmeal. Liam ate StartFraction 4 over 9 EndFraction cup of oatmeal every morning before school for a week. Which is the best estimate of the number of cups of oatmeal that Liam had left in the container at the end of the five-day week?
Answer:
3 5/18
Step-by-step explanation:
Liam had a container of oatmeal that contained 5 and one-half cups of oatmeal.
= 5 1/2 cups of oatmeal
Liam ate StartFraction 4 over 9 EndFraction cup of oatmeal every morning before school for a week.
= 4/9 cup of oatmeal for a week
Which is the best estimate of the number of cups of oatmeal that Liam had left in the container at the end of the five-day week?
5 1/2 - 5( 4/9)
11/2 - 20/9
= L.C.M of the denominators = 18
= 9 × 11 - 20 × 2/28
= 99 - 40/18
= 59/18
= 3 5/18
The best estimate of the number of cups of oatmeal that Liam had left in the container at the end of the five-day week is
3 5/18 cups of oatmeal
Answer:
Step-by-step explanation:
2 1/2 is the answer
Q.4 Find the area and perimeter of a square of side 85/4
• Side of the square = 85/4 m.
To find :• Area of the square
• perimeter of the square .
Solution :As we know that :
• Area of square = (side)²
=> Area of square = (85/4)²
=> Area of square = 7225/16
=> Area of square = 451.5 m².
Now ,
• Perimeter of square = 4 (side)
=> Perimeter of square = 4(85/4)
=> perimeter of square = 85 m.
HENCE, THE AREA IS 451.5M² AND PERIMETER IS 85M.
I hope it will help you.
Regards.
Susan divides the fraction LaTeX: \frac{5}{8}5 8by LaTeX: \frac{1}{16}1 16. Her friend Robyn divides LaTeX: \frac{5}{8}5 8by LaTeX: \frac{1}{32}1 32. Who will get the greater quotient, Susan or Robyn? Write "Susan" or "Robyn." What is Susan's quotient? Write your answer as a whole number. What is Robin's quotient? Write your answer as a whole number.
Given:
Susan divides the fraction [tex]\dfrac{5}{8}[/tex] by [tex]\dfrac{1}{16}[/tex].
Her friend Robyn divides [tex]\dfrac{5}{8}[/tex] by [tex]\dfrac{1}{32}[/tex].
To find:
The quotient of Susan and Robyn.
Solution:
Susan divides the fraction [tex]\dfrac{5}{8}[/tex] by [tex]\dfrac{1}{16}[/tex].
[tex]\dfrac{\dfrac{5}{8}}{\dfrac{1}{16}}=\dfrac{5}{8}\times \dfrac{16}{1}[/tex]
[tex]\dfrac{\dfrac{5}{8}}{\dfrac{1}{16}}=\dfrac{80}{8}[/tex]
[tex]\dfrac{\dfrac{5}{8}}{\dfrac{1}{16}}=10[/tex]
So, Susan's quotient is 10.
Her friend Robyn divides [tex]\dfrac{5}{8}[/tex] by [tex]\dfrac{1}{32}[/tex].
[tex]\dfrac{\dfrac{5}{8}}{\dfrac{1}{32}}=\dfrac{5}{8}\times \dfrac{32}{1}[/tex]
[tex]\dfrac{\dfrac{5}{8}}{\dfrac{1}{32}}=5\times 4[/tex]
[tex]\dfrac{\dfrac{5}{8}}{\dfrac{1}{32}}=20[/tex]
So, Robyn's quotient is 20.
Since 20>10, therefore, Robyn will get greater quotient.
Help me pls.........
Answer:
The account balance will be $2,614.16 after 10 years ⇒ D
Step-by-step explanation:
The formula for compound interest, including principal sum is:
[tex]A=P(1+\frac{r}{n})^{nt}[/tex], where
A is the future value of the investment/loan, including interestP is the principal investment amount r is the annual interest rate (decimal)n is the number of times that interest is compounded per unit tt is the time the money is invested or borrowed forLet us use this rule to solve the question
∵ Ted invests $1,077 in a savings account with a fixed annual interest
rat 9% compounded three times per year
∴ P = 1,077
∴ r = 9% = [tex]\frac{9}{100}[/tex] = 0.09
∴ n = 3 ⇒ three times per year
∵ The time is ten years
∴ t = 10
Substitute these values in the rule above to find A
∵ [tex]A=1077(1+\frac{0.09}{3})^{3(10)}[/tex]
→ Use your calculator to find the answer
∴ A = 2,614.161681
→ Round it to the nearest cent (2d.p.)
∴ A = $2,614.16
∴ The account balance will be $2,614.16 after 10 years.
I need help with this
(This is 8th grade math btw)
Answer:
Just do 12x+7 and 5x-1 divide that answer by 57 that seems easy and i am in 6th grade
Step-by-step explanation:
if this is not right i dont know what is
Answer:
Angle WST = 91°
Step-by-step explanation:
The first step in this situation is to find Angle TSU. Then find x, which is 7, which can be put into the equation shown for Angle WST.
A conveyor belt moves at a constant rate of 12 feet in 3 seconds. A second conveyor belt moves at a constant rate of 21 in 7 seconds. Does this situation represent a proportional relationship?
Answer:
No.
Step-by-step explanation: If we look at the first conveyor belt, the rate is 12ft in 3 seconds, or 4 feet a second. The second conveyor belt moves at 21 feet in 7 seconds, or 3 feet a second. Since the two values are unequal, we can conclude it is not a proportional relationship.
can someone help me I need a quick answer. If a base of 5 has an exponent of 2 and is subtracted from a base of 4 that hs an exponent of 3, what is the remaining number?
Answer:
39
Step-by-step explanation:
4^3 equals 64, and 5^2 equals 25. 64 - 25 = 39.
8a + 3b - 10 + c^2
When a = 2, b = 5 and c = 4
Answer:
the answer is 37
Step-by-step explanation:
plug in numbers given: 8(2) - 3(5) -10 +(4)^2
simplify: 16 - 15 - 10 + 16
combine like terms = 37
Answer:
37
Step-by-step explanation:
8*2 +3*5- 10+ [tex]4^{2}[/tex]
16+ 15-10+16
47-10
37
PLS HELP ILL MARK BRAINEST DUE IN 20 minsss
Answer:
ill help
Step-by-step explanation:
A line passes through the point (-6,6) and has a slope of 3/2.
Answer:
y=3/2x+15
Step-by-step explanation:
Answer:
y=3/2+15
Step-by-step explanation:
Find the distance between the two points rounding to the nearest tenth (if necessary).
(-2,8) and (3, 4)
Answer:
6.40
Step-by-step explanation:
Just the picture, Geometry. Thanks.
Angle 1 is congruent to ∠5 as they are corresponding angles on a transversal .
Option (d) Angle 4Angle 4 is congruent to ∠5 as they are alternate interior angles .
Write an algebraic expression that represents the sum of 3 and one sixth of X
Answer: 3 + 1/6x
Step-by-step explanation:
From the question, we are informed to write an algebraic expression that represents the sum of 3 and one sixth of.
In mathematics, sum means addition. Therefore, the algebraic expression will be gotten by adding 3 to 1/6 of x. This will be:
= 3 + (1/6 × x)
= 3 + 1/6x
Quinn had $4.00. He spent 1/2 of his money on chips, 1/4 of his money on a drink, and 1/8 of his money on gum. How much money does Quinn have left?
If the answers good you get bonus points so you can ask more questions!
Answer:
.50$
Step-by-step explanation:
When you add 1/2, 1/4, and 1/8 you get 7/8. We now know that Quinn spent 7/8 of 4.00$. We multiply 7/8 and 400 and we get 350. That means he spent 3.50$. 4.00-3.50= .50$
Answer:
3.50
Step-by-step explanation:
2.00+1.00+.50=3.50
0.05 is 1/10 value of what number
Answer:
1/2=x
0.5
Step-by-step explanation:
x will be the number
5/100=(1/10)x
5/10=x
1/2=x
1/2=0.5
On a set of parallel lines cut by a transversal m<2=(7x-5) and m<6=(x+25) which value of x could show that <2 and <6 are corresponding angles
Answer:
X = 5
Step-by-step explanation:
When the lines are parallel, the corresponding angles are equal in measure then:
m<2 = m<6
7x - 5 = x + 25
7x - x = 25 + 5
6x = 30
x = 5
Perform the indicated operation.
-6 + 6
oo
0-12
O 12
Answer is 12
Because -6 + 6 = 12
Which measurement of a polygon in the shape of a square with 6-inch sides is a perfect square?
A. Area
B. Angles
C. Diagonal
D. Perimeter
Answer:
A: Area
Step-by-step explanation:
The area is 6^2=36 and 36 is a perfect square.
I need help with this
Answer:
ok I did this construction about a year ago but I think I can remember something so if it's not correct I hope you won't be mad with me ok so the first step draw a straight line measure the length then make an AC on both sides then stand on one side make an arc upstand on the other side make an arc upthen stand on one AC and make another ARK on top of the other one then stand on the other AC and make another ark on top of the other one then join the lines yeah I think that's the procedure
DUE 10 MIN PLEASE HELP
show work
Answer:
10
Step-by-step explanation:
3y-4=12-y and also show the step please
Answer:
y=4
Step-by-step explanation:
look at the picture. :) hope this helps
Answer:
y = 4
Step-by-step explanation:
Lets begin by combining like terms, starting with y. We can take the -y on the right, and bring it to the left side, adding it with the 3y already there. We are now at.
4y - 4 = 12
We now can take the -4 from the left and bring it to the right as +4.
4y = 16
We can now divide 16 by 4, getting 4 as the final answer.