You have to get y by itself and to do that you need to do the opposite of order of operations.
So the opposite of subtraction is addition so you would add 37 to both sides.
It would cancel out itself then leave y by itself while the other side of the equation is 55
Answer: y = 55
Step-by-step explanation: You want to get the variable or y by itself, so you cancel out what number is next to it which is 37, so you add -37 + 37 and that cancels it out.The reason you add them together is because of opposite operations since it was minus you want to add, and what ever you do to one side you have to do to the other, so 18 + 37 is 55 so y is 55
Find cos<FHE.
a.3/4
b.4/5
d. 4/3
Answer:
b.4/5
Step-by-step explanation:
step 1
In the right triangle FGH
Find HF
we know that
HG=GF ----> by triangle 45°-90°-45°
Applying the Pythagoras Theorem
[tex]HF^{2} =\sqrt{8}^{2} +\sqrt{8}^{2} \\ \\HF^{2} =16\\ \\HF=4\ units[/tex]
step 2
In the right triangle FEH
Find HE
Applying the Pythagoras Theorem
[tex]HE^{2} =4^{2} +3^{2} \\ \\HE^{2} =25\\ \\HE=5\ units[/tex]
step 3
Find the cos(∠FHE)
cos(∠FHE)=HF/HE
substitute the values
cos(∠FHE)=4/5
The counting numbers, together with 0, are called the _____ numbers.
natural numbers. they are also called counting numbers. hope this helps :)
The answer is Whole.
What is the recursive formula for this geometric sequence
6, -24, 96, -384,...
Answer:
see explanation
Step-by-step explanation:
The recursive formula allows us to calculate the next term in the sequence from the previous term.
The common ratio r = [tex]\frac{-24}{6}[/tex] = - 4
Thus multiplying any term by - 4 gives the next term, that is
[tex]a_{n+1}[/tex] = - 4 [tex]a_{n}[/tex] with a₁ = 6
This week jake is scheduled to work 11 hours as a cashier and 17 hours as a grocery stocker. What will be the total amount he earns from the two jobs if he works all the scheduled hours?
Answer:
$305
Step-by-step explanation:
Answer:
A/281.75
Step-by-step explanation:
1st step.
81.00/9=9
129/12=10.75
2nd step
9*11=99
10.75*17=182.75
3rd step
99+182.75=
281.75 or a
hope this helped!!!!
I NEED HELP ASAP!! create a line plot to display the data
the table shows the lengths of the different leaves In centimeters
To create a line plot hover over each number on the number line then click and drag up to the plot the data
7.5 xxx. 8.0 xxx 8.5 xxx 9.0 xxxxx 9.5 xxxx
Write an equation of the graph:
y = |x| translated half a unit upward
Answer: y = I x l + 1/2
Step-by-step explanation:
The answer is y= IxI+1 bc you moved it up by 1 so that makes it plus 1
Ellie wants to buy a computer for $900. She can save $75 a month in a savings account and earn $2 for every $100 saved and buy the computer when she has enough money. Or, she can pay back $75 a month on a bank loan for $900 and pay interest of $7 for every 100 borrowed. How much will she pay for the computer for each of the two choices?
Answer:
For savings: 924$ paid. For loan: 963$ paid
What is the value of the lower quartile?
0
8
6
2
the value of the lower quartile is 2 because that’s where the box ends
A car travels 35 miles on each gallon of gas. How far will it travel on 6 gallons?
Answer:
210 miles
Step-by-step explanation:
35 x 6
Find x I need help don’t really understand it
you would use sine
sine = opposite side / hypotenuse
and solve for opposite side (x)
so sine of 70*14= which is about 13.146
Check the picture below.
make sure your calculator is in Degree mode.
The sixth grade students are having an activity day at the end of the school year. There are a total number of 232 students in the grade level.
Write and solve an equation to determine S, The number of students that will be on team #4
If this helps please considering giving me brainliest as it helps me a lot.
232-(59+57+58) = S
232-174 = S
S = 58
Hope this helps!
HELP ME PLSSSSSS OMG!!!!!!!!
Answer:
B
Step-by-step explanation:
The graph has a negative slope of 3, so him earning $3 wouldn't make sense, nor would him earning or spending $0.30
A coin is tossed at the same time a die is rolled. Are the
events independent or dependent? Why?
A. The events are dependent. There is no way the outcome
of the coin toss can affect the rolling of the die and vice
versa.
B. The events are dependent. The number rolled on the die
can be affected by what is flipped on the coin.
C. The events are independent. There is no way the
outcome of the coin toss can affect the rolling of the die and
vice versa,
D. The events are independent. The number rolled on the die
can be affected by what is flipped on the coin.
Answer:
c
Step-by-step explanation:
common sense
An object is dropped from a bridge and allowed to freefall to the ground. The height of the object over time can be modeled using h(t) = 144 – 16t2. How many seconds will it take the object to reach the ground? second(s)
Answer:
t = 3 seconds
Step-by-step explanation:
We have the equation, as a function of time, that describes the height of the object that is dropped from the bridge.
The equation is:
[tex]h (t) = 144 - 16t ^ 2[/tex]
Where t is the time in seconds and h is the height in feet.
To know how long it takes the object to fall to the ground we do h (t) = 0 and solve for t.
So:
[tex]0 = 144 - 16t ^ 2\\\\16t ^ 2 = 144\\\\t ^ 2 = \frac{144}{16}\\\\t ^ 2 = 9\\\\t_1 = 3\\t_2 = -3[/tex]
We take the positive solution.
Therefore the object takes 3 seconds to reach the ground
Answer:
t=3 seconds
Step-by-step explanation:
We have the equation, as a function of time, that describes the height of the object that is dropped from the bridge.
The equation is:
Where t is the time in seconds and h is the height in feet.
To know how long it takes the object to fall to the ground we do h (t) = 0 and solve for t.
So:
We take the positive solution.
Therefore the object takes 3 seconds to reach the ground
Read more on Brainly.com - https://brainly.com/question/12606814#readmore
Which conic section is represented by the polar equation r=3/(4+2sintheta)?
A. ellipse
B. hyperbola
C. parabola
D. circle
Answer:
The conic is an ellipse ⇒ answer A
Step-by-step explanation:
* Lets explain how to solve the problem
- The polar form equation of a conic with a focus at the origin, the
directrix is y = ± p where p is a positive real number, and the
eccentricity is a positive real number e is r = ep/(1 ± e sin Ф)
# If 0 ≤ e <1, then the conic is an ellipse
# If e = 1, then the conic is a parabola
# If e > 1, then the conic is an hyperbola
- Lets solve the problem
∵ The equation of the conic is r = 3/(4 + 2 sin Ф)
∵ The form of the equation is r = ep/(1 ± e sin Ф)
- We must divide up and down by 4 to make the 1st term of the
denominator equal 1
∴ r = (3/4)/(1 + (2/4) sin Ф)
∴ ep = 3/4
∴ e = 2/4
- Lets use the rules above to identify the type of the conic
∵ e = 2/4 = 1/2
∴ 0 ≤ e < 1
∴ The conic is an ellipse
Answer:
A C D are the answers
Step-by-step explanation:
Ellipse, r=1/1-cos theta, r=3/2-3cos theta
The London theater offers child tickets at 10$each and adult tickets at 20$ each.Mrs burham buys 34 tickets at a total cost of 570 if C is the number of child tickets and A is the number of adult tickets write the system of equations which represents this situation
Answer:
A+C=34
10C+20A=570
Help pls and thank you!!!
Answer:
16
Step-by-step explanation:
The perimeter = sum of the three sides.
1/2 + 1/2 = 1
4 + 5 + 6 + 1 = 16
The stem and leaf plot shown matches which set of data?
Stem and Leaf Plot Advantages. The stem and leaf plot essentially provides the same information as a histogram, with the following added benefits: The plot can be constructed quickly using pencil and paper. The values of each individual data point can be recovered from the plot.
Salary, tips and interest earned are all included in ____.
Answer:
Gross annual income
Annual income i think lol
8^(2x+3)+8^(2×+1)-8^2×=519*2^2010
x=?
Answer:
x=335
Step-by-step explanation:
The given expression is
[tex]8^{2x+3}+8^{2x+1}-8^{2x}=519*2^{2010}[/tex]
Apply the reverse of the product rule: [tex]a^{m+n}=a^m\times a^n[/tex]
[tex]8^{2x}\times 8^3+8^{2x}\times 8^1-8^{2x}=519*2^{2010}[/tex]
Factor on the left
[tex](8^3+ 8^1-1})8^{2x}=519*2^{2010}[/tex]
Evaluate
[tex](512+ 8-1})8^{2x}=519*2^{2010}[/tex]
Simplify:
[tex]519*8^{2x}=519*2^{2010}[/tex]
Divide through by 519
[tex]8^{2x}=2^{2010}[/tex]
Write the the LHS as a power of 2.
[tex]2^{3*2x}=2^{2010}[/tex]
[tex]2^{6x}=2^{2010}[/tex]
Equate the exponent
[tex]6x=2010[/tex]
Divide by 6
x=335
kelly just brought a new pair of shoes! she received a 30% discount, which saved $15 off of the original price. what was the original price of the pair of shoes
Set up an equation:
x * .30 = 15
Divide both sides by .30 in order to determine the value of x
x = 15/.30
x = 115.38
So, the original price of the pair of shoes is $115.38
Measure the length to the nearest half inch
Maybe you should try using a ruler cause I can’t tell if it is combined the two above it or what to do
What is the value of n?
Answer:
C. 95°
Step-by-step explanation:
The up angle of the triangle is 180° - 121° = 59°
The right angle of the triangle is 180° - 144° = 36°
The left angle of the triangle is 180° - (59°+36°) = 180° - 95° = 85°
=> n° = 180° - 85° = 95°
Answer:
○ C. 95°
Step-by-step explanation:
Deduct each exterior angle from 180°, according to the Supplementary Angles Theorem, to get your interior angles:
-144° + 180° = 36°
-121 + 180° = 59°
You have two of the interior angles, so to find the final one, we do this:
-95° + 180° = 85°
You now have your third interior angle measure, and now, it is hooked up to the exterior angle, n°. This is where the Supplementary Angles Theorem comes in again:
-85° + 180° = 95°
So, the m∠n is 95°.
I am joyous to assist you anytime.
Help help help help find volume
Answer:
20 mm^3
Step-by-step explanation:
Formula
V = 1/3 B * h
Givens
B = 15 mm^2
h = 4 mm
Solution
V = 1/3 * 15 * 4
V = 20 mm^3
What’s three-dimensions figure can be made from their net
A "Geometry Net" is a flattened out three dimensional solid (a three dimensional shape) -- like a cube, a prism or a pyramid.
Which point is part of the solution of the inequality y<=|x+4|-3
The answer is: The point (0,0) is part of the solution.
Why?To find which point is part of the solution of the inequality, we need to evaluate each of the given points. If the inequality is satisfied, then the point is part of the solution, otherwise, if the inequality is not satisfied, the point is not part of the solution.
We are given the inequality:
[tex]y\leq |x+4|-3[/tex]
So, evaluating we have:
- First point (-2,1)
[tex]y\leq |x+4|-3\\\\1\leq |-2+4|-3\\\\1\leq |2|-3\\\\1\leq 2-3\\\\1\leq -1[/tex]
Now, since 1 is not less or equal to -1, the point (-2,1) is not part of the solution.
- Second point (1,3)
[tex]y\leq |x+4|-3\\\\3\leq |1+4|-3\\\\3\leq |5|-3\\\\3\leq 5-3\\\\3\leq 2[/tex]
Now, since 3 is not less or equal to 2, the point (1,3) is not part of the solution.
- Third point (-4,2)
[tex]y\leq |x+4|-3\\\\2\leq |-4+4|-3\\\\2\leq |0|-3\\\\2\leq 0-3\\\\2\leq -3[/tex]
Now, since 2 is not less or equal to -3, the point (-4,2) is not part of the solution.
- Fourth point (0,0)
[tex]y\leq |x+4|-3\\\\0\leq |0+4|-3\\\\0\leq |4|-3\\\\0\leq 4-3\\\\0\leq 1[/tex]
Now, since 0 is less than 1, the point (0,0) is part of the solution.
Hence, we have that the point (0,0) is part of the solution.
Have a nice day!
what is the domain of f(x)=5^x?
Answer:
[tex]x\in(-\infty,\infty)[/tex]
Step-by-step explanation:
The given function is [tex]f(x)=5^x[/tex]
Domain is the set of x values for which the function is defined.
The function [tex]f(x)=5^x[/tex] is an exponential function and for any real values of x, the function f(x) will be defined.
Therefore, we can conclude that the domain of the function is all real numbers.
In interval notation, the domain of f(x) is
[tex]x\in(-\infty,\infty)[/tex]
The domain of the function f(x) = 5^x is all real numbers.
Explanation:The domain of the function f(x) = 5x is all real numbers. In exponential functions like this one, the domain is always the set of all real numbers. This means that there are no restrictions on the values that x can take. For example, you can plug in any real number into the function, such as 0, 1, -2, or 3.5, and the function will still output a valid value.
Learn more about Domain of exponential functions here:https://brainly.com/question/15352175
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A gold coin appreciated in value from $200.00 to $475.00 in 6 years. Find the yearly rate of appreciation. Show or explain all work.
Answer:
16%
Step-by-step explanation:
To solve this we are using the standard growth equation:
[tex]y=a(1+b)^x[/tex]
Were
[tex]y[/tex] is the final value after [tex]x[/tex] years
[tex]a[/tex] is the initial value
[tex]b[/tex] is the growth factor (yearly rate of appreciation in our case) in decimal form
[tex]x[/tex] is the time in years
We know from our problem that gold coin appreciated in value from $200.00 to $475.00 in 6 years, so [tex]y=475[/tex], [tex]a=200[/tex], and [tex]x=6[/tex].
Let's replace the values in our equation and solve for [tex]b[/tex]:
[tex]y=a(1+b)^x[/tex]
[tex]475=200(1+b)^6[/tex]
[tex]\frac{475}{200} =(1+b)^6[/tex]
[tex]2.375=(1+b)^6[/tex]
[tex]\sqrt[6]{2.375} =\sqrt[6]{(1+b)^6}[/tex]
[tex]1+b=\sqrt[6]{2.375}[/tex]
[tex]b=\sqrt[6]{2.375}-1[/tex]
[tex]b=0.155[/tex]
which rounds to
[tex]b=0.16[/tex]
Since our appreciation rate is in decimal form, we need to multiply it by 100% to express it as percentage:
0.16*100% = 16%
We can conclude that the yearly appreciation rate of our gold coin is approximately 16%
.
Write in vertex form y=2x^2+8x+10
Answer:
(-2,2)
hope this helps!!!
norton22aa
Step-by-step explanation:
Answer:
[tex]y=2(x+2) ^ 2 + 2.[/tex]
Step-by-step explanation:
For a quadratic equation written in the general form [tex]y=ax ^ 2 + bx + c[/tex],
the x coordinate of its vertex is:
[tex]x = -\frac{b}{2a} = h[/tex]
Then this equation written in the form of vertex is:
[tex]y=a(x-h) ^ 2 + k.[/tex]
Where the point (h, k) is the vertex of the parabola.
In this case we have the equation
[tex]y=2x^2+8x+10[/tex]
Then the x coordinate of its vertex is:
[tex]x=-\frac{8}{2(2)}\\\\x= -2[/tex]
Therefore the y coordinate of its vertex is:
[tex]f(-2) = 2(-2)^2+8(-2)+10\\\\f(-2) = 2[/tex]
The vertice is (-2, 2)
Then
[tex]h=-2\\\\k = 2[/tex].
This equation written in the form of vertex is
[tex]y=2(x+2) ^ 2 + 2.[/tex]
Stefan sells Jin a bicycle for $173 and a helmet for $19. The total cost for Jin is 160% of what Stefan spent originally to buy the bike and helmet. How much did Stefan spend originally? How much money did he make by selling the bicycle and helmet to Jin?
Answer:
a) $ 120
b) $ 53
Step-by-step explanation:
Cost of Bicycle paid by Jin = $173
Cost of Helmet = $ 19
Total amount paid by Jin = $173 + $19 = $192
This amount is 160% of what Stefan originally spent. Let the amount he originally spent was n, so we can write:
192 = 160% of n
192 = 1.6n
n = [tex]\frac{192}{1.6} = 120[/tex]
Thus, Stefan originally spent $120 for buying the bicycle and the helmet.
Profit which he made from this sale = $ 173 - $ 120 = $53
So he made $53 by selling Jin a bicycle and a helmet
To find the original cost Stefan spent, we calculate 160% of the original cost equal to the total selling price of $192. Divide $192 by 1.60 to find the original cost. Subtract this cost from $192 to find Stefan's profit.
Explanation:The student's question pertains to calculating the original cost and the profit made from a sale. To solve this, we can set up an equation where 160% of the original cost (which we will call 'x') is equal to the total selling price of the bike and helmet, which is $173 for the bicycle and $19 for the helmet, adding up to $192.
This equation can be represented as 1.60x = $192. To find the original cost (x), divide the total cost by 1.60: x = $192 / 1.60. Calculating this gives us the original cost that Stefan spent.
To find the profit, we subtract the original cost from the total selling price. If x represents the original cost, then the profit is $192 - x. The step-by-step explanation helps the student understand how to set up and solve equations involving percentages, a key concept in mathematics related to business and personal finance.