Answer:
Step-by-step explanation:
The number of months is our unknown, which we will call x. y is the amount she saves. Representing the fact that she puts $10 away per month is 10x. If she puts $300 down initially and then adds 10 per month to that, the first equation is
y = 10x + 300
The same goes for the second option. Putting $30 away every month is represented as 30x, and if she is starting with 100 and adding 30 a month to it, the second equation is
y = 30x + 100
We are being asked to find the number of months where the amount Tina saves is equal. Since y is the amount Tina has saved and we want to know when these amounts are equal, we will set the equations equal to each other and solve for x, the number of months.
10x + 300 = 30x + 100 and
200 = 20x so
x = 10. After 10 months, Tina will have saved the same amount of money regardless of which option she has chosen. This is only true for 10 months though. After that, one will show more of a savings than the other.
The frequency (f) of the note produced by striking a pipe of length (L) and radius (r) is given by f = 2r + c over 2L where c is the speed of sound, which is mately 13,500 in./sec. The following table shows some frequencies and related pipe lengths for PVC pipe with a radius of 1 in. What length pipe should be used in order to create the lowest note on an 88-key piano (an A), which has a frequency of 27.5 hertz?
Now the aim of the above discussion is to internalize the mathematical relationships for open-end air columns in order to perform calculations predicting the length of air column required to produce a given natural frequency. And conversely, calculations can be performed to predict the natural frequencies produced by a known length of air column. Each of these calculations requires knowledge of the speed of a wave in air (which is approximately 340 m/s at room temperatures). The graphic below depicts the relationships between the key variables in such calculations. These relationships will be used to assist in the solution to problems involving standing waves in musical instruments.
Write a ratio for the following description: Kaleel made three times as many baskets as John during a basketball practice.
Answer:
3:1
Step-by-step explanation:
If John makes 3, Then Kaleel makes 9, If John makes 1, Then Kaleel makes 3.
Using distributive property simplify 4 (3x + 7)
Answer:
12x+28 I think
Step-by-step explanation:
4•3x+7
12x+(4•7)
12x+28
Answer:
[tex]\huge\boxed{\boxed{12x+28}}[/tex]
Step-by-step explanation:
Hello.
The Distributive Property states that
a(b+c)=ab+ac, where a, b, and c can be constants (numbers) or variables (letters).
Now that we know the formula, it's time to simplify! :)
The expression is:
4(3x+7)
Multiply 4 times 3x and 4 times 7:
4×3x=12x
4×7=28
Put the terms together:
12x+28
Can we simplify this expression? No, because 12x and 28 are not like terms.
And we're done!
I hope it helps & have an outstanding day!
~ST2710 :)
Write the standard form of the line that passes through (-1,-3) and (2,1).
Answer:
Step-by-step explanation:
[tex]\mathrm{Line\:passing\:through\:}\left(-1,\:-3\right)\mathrm{,\:}\left(2,\:1\right)\\\\\mathrm{Find\:the\:line\:}\\\mathbf{y=mx+b}\mathrm{\:passing\:through\:}\left(-1,\:-3\right)\mathrm{,\:}\left(2,\:1\right)\\\\\mathrm{Compute\:the\:slope\:}\left(-1,\:-3\right),\:\left(2,\:1\right):\quad \\m=\frac{4}{3}\\\mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}\\\\\left(x_1,\:y_1\right)=\left(-1,\:-3\right),\:\left(x_2,\:y_2\right)\\\left\\[/tex]
[tex]\\m=\frac{1-\left(-3\right)}{2-\left(-1\right)}\\\\Refine\\\\m=\frac{4}{3}\\\\\mathrm{Compute\:the\:}y\mathrm{\:intercept}:\quad b=-\frac{5}{3}\\\\y=\frac{4}{3}x-\frac{5}{3}\\[/tex]
Convert equation to standard form
[tex]y - \frac{4}{3} x + \frac{5}{3} = 0\\\\Multiply \:through\: by\: 3;\\\\3\times (y - \frac{4}{3} x + \frac{5}{3} )=0\\\\3y -4x+5 = 0\\Arrange\:n\:form\:of \:;\\Ax +By = C\\\\-4x +3y =-5[/tex]
Hi I am totally confuse with this math can you please help
thank yo I will give you the brainlest I aapreciate any help
Answer:
#5 is b) -250, -200, 0, 300
Step-by-step explanation:
what is the answer for this problem 1+1
Answer:
2
Step-by-step explanation:
Evaluate 7x−y if x = 9 and y = 3.
12
13
60
76
[tex]7x - y[/tex]
Insert values for [tex]x[/tex] and [tex]y[/tex]
[tex]7 \cdot 9 - 3 = 63 - 3 = 60[/tex]
help me please this is due today :(:
Answer:
F(-6, 3) --> F'(-6,3)
G(-4,3) --> G'(-8,3)
H(-2,4) --> H'(-10,4)
Answer:
F(-6,3)
G(-8,3)
H(-10,4)
Step-by-step explanation:
If your reflecting over the red line then all I do is first try to recreate the shape on the other side of the red line. (Like a reflection) And then look at the points it landed on. And that's your answer
What’s the slope of (6, 12) and (-6,-2)
Answer:
m= 7 / 6
Step-by-step explanation:
we need to start out by plugging in the integers into the formula which is the following:
m= y2 - y1 / x2 - x1
m= -2 - 12 / -6 - 6
then we begin to solve
m= -14 / -12
this is not in its simplest form, so we simplify it
(in this case I simplified by 2)
m= -7 / -6
and because two negatives will give you a positive, your final answer is
m= 7 / 6
Find the difference of -4 -(5)
The answer is -9
-4 - 5 = -9
the answer is -4-(5)= -9
In ΔXYZ, the measure of ∠Z=90°, YX = 37, ZY = 12, and XZ = 35. What ratio represents the sine of ∠X?
Answer:
12/37
Step-by-step explanation:
express the mass 6,200,000 kilograms using scientific notation in kilograms, and then in grams.
Answer:
620000000
Step-by-step explanation: 6.2 10^8
Scientific notation is a way of expressing numbers that are too large or too small to be conveniently written in decimal form,62*10^5 is the scientific notation of 6,200,000 kilograms
We need to express 6,200,000 kilograms using scientific notation in kilograms.
What is scientific notation?Scientific notation is a way of expressing numbers that are too large or too small to be conveniently written in decimal form.
We need to express 6,200,000 kilograms into scientific notation
The format for scientific notation is a x 10^b where a is a number or decimal number such that the absolute value of a is greater than or equal to one and less than ten or, 1 ≤ |a| < 10.
Now 62*10^5 is the required scientific notation.
Therefore 62*10^5 is scientific notation of 6,200,000 kilograms.
To learn more on scientific notation click here:https://brainly.com/question/1705769
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Assume that the standard deviation of daily returns for Marcus, Inc. stock in a recent period is 1.5 percent. Furthermore, a 95 percent confidence interval is desired for the maximum loss. Daily returns are normally distributed, and the expected daily return is 0.05 percent. What is the lower boundary of the maximum expected loss
Answer:
= - 2.43%
Step-by-step explanation:
From the information given:
Since the variable (daily returns) is normally distributed, Then, using empirical rule at 95% confidence interval level, we have:
[tex]( \mu - 1.96 \sigma \ , \ \mu + 1.96 \sigma)[/tex]
where;
The expected mean daily return [tex]\mu = 0.05 \%[/tex]
The standard deviation [tex]\sigma = 1.5\%[/tex]
Given that the 95% confidence interval is expected to be a maximum loss, then the probability is left-tailed which is 1.65[tex]\sigma[/tex] away from the average.
Thus the distribution of the lower boundary can be computed as:
= [tex](0.05 - 1.65 \times 1.5)\%[/tex]
= [tex](0.05 - 2.475)\%[/tex]
= [tex]( - 2.425)\%[/tex]
= - 2.43%
Jenkins wants to draw a scale drawing of a tree in his yard . The scale of his model is 6in to 12ft . If his drawing is 3 in tall, how tall is the rela tree
There are 868 males students and
1,187 female students at Ferris
High School. How may more female
students are there than male
students? Show your work.
Solve 2b+4=3b+1 for b
Answer:
b= 3
Step-by-step explanation:
2b +4 = 3b +1
-2b. -1
b = 3
please show work 3[x+4]+4x= -2
Answer:
x=-2
Step-by-step explanation:
3[x+4]+4x=-2
The 3 multiplies x and 4
3x+12+4x=-2
Group like terms
3x+4x=-2-12
7x=-14
Divide through by 7
7x/7=-14/7
x=-2
x = - 4y + 37x + 3y = 29 pls help i need this grade!!!!!!!!
Find the equation of the line using the point-slope formula. Write the final equation using slope- intercept form. 6 (1,2) with a slope of - 7 Enter the exact answer.
Answer:
y = -7x + 9
Step-by-step explanation:
Point-slope form:
y - 2 = -7 (x -1)
y - 2 = -7x + 7
y - 2 + 2 = -7x + 7 +2
y = -7x + 9
2+x^2=18
Help please
Answer:
2+x^2=18 = 2+4^2=18
Step-by-step explanation:
Because when you have the ( ^2) then that means your going to multiply a number by the same number and then 4 times 4 equals 16 and you still have the +2 therefore you add that on the 16 and 16+2 equals 18.
on the day of the test, Rebeccas instructor says that the test will be to attempt 25 vases
In the 2019 NBA Eastern Conference semi‐finals, Philadelphia 76ers (PHI) played the (eventual 2019 NBA Champion) Toronto Raptors (TOR) in a best‐of‐7 series where the first team to win 4 games wins the series. Assume that the outcome of each game is independent. (a) Assuming that either team has a win probability of 0.5, what is the probability that after the first 4 games, the teams would be tied 2‐2? Clearly show all your steps.
Answer: 0.375
Step-by-step explanation:
Given the following :
Both teams have an equal probability of winning = 0.5
Find the probability that both teams are tied after 4 games, that is 2-2 ( this means each team has exactly 2 successes and 2 losses).
This problem can be modeled using a binomial probability :
P(x) = nCx * p^x * (1-p)^(n-x)
x = number of successes = 2
P = probability of success = 0.5
(1-p) = probability of failure = 0.5
n = number of trials = 4
P(x = 2 ) = 4C2 * 0.5² * 0.5^(4-2)
P(x = 2) = 6 * 0.5² * 0.5²
P(x = 2) = 6 * 0.25 * 0.25
P(x = 2) = 0.375
Multiple
1. Which of the following is Eular's formula?
OE-V + F = 2
OV-E+ F = 2
Answer:
see explanation
Step-by-step explanation:
Euler's formula for polyhedra is
V- E + F = 2
where V is number of vertices, E number of edges and F number of faces
A total of d dollars was donated to 4 charities. Each charity received $375. Which equation can be solved to find the total amount of money donated?
Answer:
If each charity has received $375 and there is 4 charities, the equation should look like this...
$375 x 4 = d
If you are looking how much was donated all together, the answer is:
$1500 dollars in total was donated.
A scuba diver returning to the surface swims to move up quickly, then waits a few meters below the surface to avoid pressure issues. They complete the ascent more slowly. The function f represents the diver's distance from sea level over time, in seconds. Which of the following is true for f? f(x)= { 3x+1, if −9 < x ≤ −2 f(x)= {−5, if. −2 < x ≤ 1 f(x)= { x−6, if 1 < x < 7 Group of answer choices The domain is the depth interval (−26, 1). The domain is the depth interval (−9, 1]. The domain is the set of times −9 < x < −2, −2 < x < 1, and 1 < x < 7. The domain is the time interval (−9, 7). Group of answer choices domain: (–3, 3] negative: (–3, –2), (2, 5] range: (–3, 4] decreasing: (–1, 4) increasing: (–3, –1) positive: (–2, 2)
Answer:
See below
Step-by-step explanation:
Given:
f(x)= { 3x+1, if −9 < x ≤ −2 f(x)= {−5, if. −2 < x ≤ 1 f(x)= { x−6, if 1 < x < 7Combination of domain for the function is the following union:
(-9, 2]∪ (-2, 1]∪(1, 7) = (-9, 7)Group of answer choices:
The domain is the depth interval (−26, 1).
incorrect as (-26, -9) interval is not covered in given functionThe domain is the depth interval (−9, 1].
incomplete rangeThe domain is the set of times −9 < x < −2, −2 < x < 1, and 1 < x < 7.
incorrect as doesn't include x = -2 and x = 1The domain is the time interval (−9, 7).
This is correct as it is same with the domain set we got above.Which statement is true about the end behavior of the graft function as the X values goes to positive infinity the functions value goes to negative infinity
i will give u brainlyist plz When 1/3 is written as a repeating decimal, which digits are repeating? A. 27 B. 37 C. 73 D. 28
Answer:
1/3 in decimal format is .333333333333... so none of these are correct
ASAP!!! Please help! Due in 15 mins!!!! Help me plsss!!!!
Which equation represents the function described by this table?
A) f (x) = x + 7
B) f(x) = -7x
C) f (x) = x - 7
D) f (x) =7x
if you dig a 6 foot hole, how deep is that hole?
Answer:
Ummmm issa bout 20 feet
Step-by-step explanation: beetle juice
Answer:
20 feet
Step-by-step explanation:
Calculate the regression coefficients in the above table by hand, using the statistics below