Answer:
4.0408163265306
Step-by-step explanation:
Find the x-and y-intercepts of the line. y=−4x−6
Answer:
x-intercept: (-3/2, 0)
y-intercept: (0, -6)
Step-by-step explanation:
We Know
The equation y = -4x - 6
Find x-intercept
We need to put 0 in for y
0 = -4x - 6
6 = -4x
x = -6/4 = -3/2
Find y-intercept
We need to put 0 in for x
y = -4(0) - 6
y = 0 - 6
y = - 6
So, x-intercept: (-3/2, 0)
y-intercept: (0, -6)
Factor completey
x2 - 12x + 35
Answer:
x=5 or x=7
Step-by-step explanation:
I hop this helped
Yesterday Jack drove 39 1/2 miles. He used 1 1/4 gallons of gasoline. What is the unit rate for miles per gallon?
Answer:
31.6 or 31 6/10 or 31 3/5
39.5/1.25 = 31.6
Jack gets 31.6 miles per gallon.
.25 = 1/4
.5 = 1/2
Solve for m.
D=(m− 3)
m=
(Simplify your answer. Use integers or fractions for any
numbers in the expression.)
m = D +3
What is algebra?The basics of algebra include numbers, variables, constants, equations, linear and equations. It also includes the basic arithmetic operations : addition, subtraction, multiplication, and division within the algebraic expressions. Algebra is the study of mathematical symbols and the rules for using these symbols in formulas .
The three most used laws are the Commutative, Associative, and Distributive Laws. The main rule of algebra is balancing. The equation has equals sign and both the sides should be equal.
Given, D = (m -3)
we can write,
m = D+3
if D is assumed to be 2 (integer) then,
m = 2+3= 5 (integer)
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5. 3x + 2 = 7x - 10
X=??????
Answer:
x=3
Step-by-step explanation:
For the following set of coupled differential equations: dx/dt= 2.x1 +x2
The solution to the coupled differential equations dx/dt= 2.x1 +x2 is x1 = t^2 + 2t and x2 = t^2, We can then integrate both sides of the equation to get the following: ln(2.x1 +x2) = t + c
To solve this set of differential equations, we can use the method of separation of variables. This method involves separating the variables in each equation so that they can be solved independently. In this case, we can separate the variables as follows: dx/(2.x1 +x2) = dt
We can then integrate both sides of the equation to get the following: ln(2.x1 +x2) = t + c
where c is an arbitrary constant. We can then exponentiate both sides of the equation to get the following 2.x1 +x2 = e^t.e^c
We can then substitute the initial conditions into this equation to get the following 2.x1 +x2 = e^t.1
where x1(0) = 0 and x2(0) = 0. This gives us the following solution for x1 and x2 x1 = t^2 + 2t and x2 = t^2
Here are some additional explanations:
The method of separation of variables is a general method for solving differential equations. It can be used to solve a wide variety of differential equations, including coupled differential equations.The initial conditions are the values of x1 and x2 at time t = 0. In this case, the initial conditions are x1(0) = 0 and x2(0) = 0.The solution to the coupled differential equations is x1 = t^2 + 2t and x2 = t^2. This solution can be verified by substituting it back into the differential equations.To know more about variable click here
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Please help me out with this
Answer:
6\sqrt3
Step-by-step explanation:
Since 30-60-90 tri, small side is 6.
This means x=\(6\sqrt3\)
Answer:
\(x = 6\sqrt{3}\)
Step-by-step explanation:
Utilize the trigonometric ratio cosine.
\(\cos(30\textdegree ) = \dfrac{x}{12}\)
Solve for x by multiplying both sides by 12.
\(12\cos(30\textdegree ) = x\)
\(12\left(\dfrac{\sqrt{3}}{2} \right) = x\)
\(x = 6\sqrt{3}\)
Calculate the sale price on a mobile phone with a marked price of $145, and a
discount of 53%
$68.15
P=Original price=145
D=Discount=53%
Sales=S
S=P-PD
S=145-(145×53%)
Sterling got money for his birthday. He spent half of his money on a coat, $74 on sneakers, $42 for a pair of shoes, and had $77 left after shopping. How much money did Sterling get for his birthday?
Answer:
$112
Step-by-step explanation:
x/2+42= 77
x/2 = 35
x=70
70+42= $112
plssss helppppp ASAP
will mark brainliest
Answer:
your taking algebra nice
Step-by-step explanation:
the answer is the green one
Select all that apply.
Which representations show a direct variation?
y = - x
y = 2 x + 3
Input (x) 3 6 9 12 15
Output (y) 4 8 12 16 20
Answer:
Options 1 and 3 are direct variationStep-by-step explanation:
Direct variation is:
y = kxOptions:
1.
y = -x, k = -1, yes2.
y = 2x + 3, not a direct variation, no3.
Try the input/output to determine the direct variation:
4 = 3k k = 4/3Verify the other pairs:
x = 6, y = 6(4/3) = 8x = 9, y = 9(4/3) = 12x = 12, y = 12(4/3) = 16x = 15, y = 15(4/3) = 20This is also a direct variation
Use the given information to find the unknown value. Y varies inversely with the cube of x. When x=5, then y=1. Find y when x=1
Answer:
125
Step-by-step explanation:
y = 1k/x^3 I am trying to find the constant k. I will use the information that I have been given to find k
1 = k/5^3
1 = k/125 Multiply both sides by 125
125 = k
Now, we will find y when x = 1
y = 125/1^3
y = 125
The value of y is 125 when x is 1.
Write the function y as a function of x, i.e., y = f(x), and then solve for x as a function of y, to determine the inverse of a function.
y = 1k/x^3 I am trying to find the constant k. I will use the information that I have been given to find k
1 = k/5^3
1 = k/125
Multiply both sides by 125
125 = k
Now, we will find y when x = 1
y = 125/1^3
y = 125
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4. Order the set of numbers from least to greatest: (4 points)
5
6
-5,
5.-26
31
6
O
31
6
.- 26, -5,
-5. -
6
O 5
6'
31 -126
-5,
6
O -126
31
5
6
O 5
6'
-5, -√26,
31
6
Answer:
Sorry to waist your time but no one would know this not even the person who made the question.
Step-by-step explanation:
Explain why i^3 is equal to i^47? Why
Answer:
i is probably 1.
Step-by-step explanation:
1^3 is equal to 1
1^47 is equal to 1
greatest common factor for 90 and 80
Answer:
10
Step-by-step explanation:
The GCF of 80 and 90 is 10.
HELP ME PLS I NEED HELP ITS DUE TOMORROW !!!!! I NEED HELP ON ALL 2,3,4,5
Answer:
1)The slope of the smaller triangle is smaller.
2)The slope of the larger triangle is larger than the slope of the smaller triangle.
3)Tre triangles are congruent
4)The slopes of the two triangles are the same.
5)Line A
Answer:
1(d), 2(not correct) 3,4,5 given below
Step-by-step explanation:
1. the slopes are same as we know
m=tan theta=y/x so the slope is same
2. it will be 10 m= tan theta=y/x
or, slope =70-40/7-4=10
3. let x and y are the sides of the triangles
so for 1 triangle it will be x=5 and y=2
"" "" another one its the multiple of 5 and 2 such as x=10 and y=4
4. the two triangle lie on the same line as slopes are equal
1st one , slope=72/12=6
2nd one slope=144/24=6
as slopes equal so they are collinear.
5. i am sorry i am not sure about it
i took all the three lines. as the slope of 5 and 7 no triangleare same(m=0.75) and smaller than others then on line A
then slope of 8 and 9 no triangle are same(m=1.5) so on the line B
then slope of 6 and 10 are same (m=3) so on the line C
i took the three lines for this...
THE ALL ANSWERS ARE BASED ON PRIMARY CONCEPT IF U FIND ANY MISTAKE PLEASE TELL ME LATER..THANK U
what are the demensions of a rectangle if the perimiter is 20 and the area is 24
Answer:
I simply listed the factors of 24, and tested which ones worked in this equation: P = 2a + 2b.
So the factors listed were:
24 x 1
12 x 2
8 x 3
6 x 4
After testing each one of these, 6 and 4 had worked for me.
P = 2(6) + 2(4)
P = 12 + 8
P = 20
Therefore, the dimensions of this rectangle are 6 and 4.
Step-by-step explanation:
Carl and Dave both collect comic books. Dave has 10 fewer comic books than Carl. Let c represent the number of comic books Carl has. Which expression represents the number of comic books Dave has?
Answer:
c - 10 = DAVE
Step-by-step explanation:
how do I find the equation for the line?
Answer:
The equation of a line is typically written as y=mx+b where m is the slope and b is the y-intercept.
Dan is doing a study of start-up costs for small businesses. A random sample of 15 specialty clothing stores had sample mean start-up costs $92,000 with sample standard deviation $24,000. An independent random sample of 12 coffee houses had mean start-up costs $74,000 with sample standard deviation $18,000. Required:
Test to see if the data supports the hypothesis that the start-up costs of the two types of businesses are different. Use a 1% significance level.
The data supports the hypothesis that the start-up costs of the two types of businesses, specialty clothing stores and coffee houses, are significantly different at a 1% significance level.
The null hypothesis (H₀): The start-up costs of specialty clothing stores and coffee houses are equal.
The alternative hypothesis (H₁): The start-up costs of specialty clothing stores and coffee houses are different.
The significance level (α) is given as 1% or 0.01.
The test statistic for a two-sample t-test is given by:
t = (x₁ - x₂) / √[(s₁²/n₁) + (s₂²/n₂)]
Plugging in the given values:
x₁ = $92,000, x₂ = $74,000, s₁ = $24,000, s₂ = $18,000, n₁ = 15 and n₂ = 12
t = (92,000 - 74,000) / √[(24,000²/15) + (18,000²/12)]
Since the significance level is 1% (0.01), we need to find the critical value for a two-tailed test with a degree of freedom equal to (n₁ + n₂ - 2).
We can use a t-table or statistical software to find this value.
For a significance level of 0.01 and degrees of freedom (15 + 12 - 2 = 25), the critical value is approximately ±2.796.
If the absolute value of the calculated t-statistic is greater than the critical value from Step 4, we reject the null hypothesis.
Otherwise, we fail to reject the null hypothesis.
Let's calculate the test statistic:
t = (92,000 - 74,000) / √[(24,000²/15) + (18,000²/12)]
= 18,000 / √[(3,840,000/15) + (3,240,000/12)]
= 24.82
Since the absolute value of the calculated t-statistic (|24.82|) is greater than the critical value (2.796) at the 1% significance level, we reject the null hypothesis.
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Complete the table to show the interest earned for different savings principals, interest rates, and time periods
The interest earned increases with higher principal amounts, higher interest rates, and longer time periods.
Principal (P) | Interest Rate (r) | Time Period (t) | Interest Earned (I)
$1,000 | 2% | 1 year | $20
$5,000 | 4% | 2 years | $400
$10,000 | 3.5% | 3 years | $1,050
$2,500 | 1.5% | 6 months | $18.75
$7,000 | 2.25% | 1.5 years | $236.25
To calculate the interest earned (I), we can use the simple interest formula: I = P * r * t.
For the first row, with a principal of $1,000, an interest rate of 2%, and a time period of 1 year, the interest earned is calculated as follows: I = $1,000 * 0.02 * 1 = $20.
For the second row, with a principal of $5,000, an interest rate of 4%, and a time period of 2 years, the interest earned is calculated as follows: I = $5,000 * 0.04 * 2 = $400.
For the third row, with a principal of $10,000, an interest rate of 3.5%, and a time period of 3 years, the interest earned is calculated as follows: I = $10,000 * 0.035 * 3 = $1,050.
For the fourth row, with a principal of $2,500, an interest rate of 1.5%, and a time period of 6 months (0.5 years), the interest earned is calculated as follows: I = $2,500 * 0.015 * 0.5 = $18.75.
For the fifth row, with a principal of $7,000, an interest rate of 2.25%, and a time period of 1.5 years, the interest earned is calculated as follows: I = $7,000 * 0.0225 * 1.5 = $236.25.
These calculations show the interest earned for different savings principals, interest rates, and time periods.
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Which equation represents a line which is perpendicular to the line y=-1/2x -7
Answer:
y-2x=4
Step-by-step explanation:
the slope is 2
the opposite reciprocal is -1/2
2/1 = 2
The breadth of rectangle is 2cm .less then its length and its perimeter is 24cm.Find the length and breadth of rectangle
let Length=l
therefore breadth=l-2
A/Q
P=24
2(l+b)=24
2(l+l-2)=24
2(2l-2)=24
4l-4=24
4l=28
l=28/4
=7
A military drone can fly at 5 miles per hour in calm conditions. For one flight, the drone flew 35 miles with the wind and 15 miles against the wind in the same amount of time. What was the wind speed for the flight
The wind speed for the flight is 2 miles per hour.
How to find the wind speed?Let's assume the wind speed is represented by "w" miles per hour.
When the drone flies with the wind, its effective speed is the sum of its own speed and the wind speed, so it travels at 5 + w miles per hour. Therefore, the time it takes to fly 35 miles with the wind is given by:
time = distance / speed
time = 35 / (5 + w)
Similarly, when the drone flies against the wind, its effective speed is the difference between its own speed and the wind speed, so it travels at 5 - w miles per hour. The time it takes to fly 15 miles against the wind is given by:
time = distance / speed
time = 15 / (5 - w)
Since the flight time is the same for both scenarios, we can set the two expressions for time equal to each other:
35 / (5 + w) = 15 / (5 - w)
Now, we can solve this equation to find the value of "w," the wind speed.
Cross-multiplying:
35(5 - w) = 15(5 + w)
175 - 35w = 75 + 15w
Combining like terms:
50w = 100
Dividing both sides by 50:
w = 2
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I would like to know the answer to problem 3 please.
Remember that
The length of the diagonal of the inscribed square is equal to two times the radius of the circle
In this problem
The radius is 2 units
therefore
The length of the diagonal is 4 units
The answer is the option BHere are the readings from a water meter.
Meter reading
November 2015
6287m
Meter reading
August 2015
6238m
Work out the volume of water used between August and November
Answer:
49
Step-by-step explanation:
6238 -6287
=49
hope love you
Math hw.
For tomorrow.
9 to 12
Answer:
11:
Solution: The Length is 14.25
Equation: (5 + 5) - 38.5 divided by 2.
9.
Solution: $11.25
Equation: $67.50 divided by 6.
Hope it helps.
(Not sure if you have to translate this...)
Please come and help me with this! Best Answer get Brainliest!!!!! :D
Please number your responses to the questions as they are shown (1a, 1b)
a. Create a quadratic expression in standard form.
b. Rewrite the expression by completing the square. Explain your work using complete sentences.
Answer:
A = Solve 5x2 + 6x + 1 = 0
B= Coefficients are: a = 5, b = 6, c = 1
Quadratic Formula: x = −b ± √(b2 − 4ac)2a
Put in a, b and c: x = −6 ± √(62 − 4×5×1)2×5
Solve: x = −6 ± √(36 − 20)10
x = −6 ± √(16)10
x = −6 ± 410
x = −0.2 or −1
Answer: x = −0.2 or x = −1
Step-by-step explanation:
there you go
Hae randomly selects a ball from a bag containing different colored balls. The odds in favor of her picking a red ball are 2:11. What is the probability of hae picking a red ball from the bag?
The probability of Hae 0.randomly picking a red ball from is 0.54.
Based on the given information, the odds in favor of Hae picking a red ball are 2:11. This means there are 2 favorable outcomes (picking a red ball) for every 11 unfavorable outcomes (not picking a red ball). To find the probability of Hae picking a red ball, we can use the following formula:
Probability = Favorable outcomes / (Favorable outcomes + Unfavorable outcomes)
In this case, there are 2 favorable outcomes and 11 unfavorable outcomes. So, the probability of Hae picking a red ball is:
Probability = 2 / (2 + 11) = 2 / 13
So, the probability of Hae randomly picking a red ball from the bag is 0.54.
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In your own words For the following question, I want you to use your own words. A sign that you truly understand a concept is that you're able to explain it to someone else in this case, your grader). It may take a few tries and will require some practice, so don't worry about explaining things perfectly the first time around. You will likely have to write several drafts before you come up with wording that feels right for you. The most difficult part can be getting started. I recommend that you start by writing an initial attempt (regardless of how good or bad you think it is) and iterating from there! 1. Explain the difference between REF and RREF.
RREF has zeros both above and below every leading coefficient. RREF is unique and can only have one form.
REF and RREF are algorithms used to reduce a matrix into a more computationally efficient form for use in solving systems of linear equations.
REF stands for Row Echelon Form while RREF stands for Reduced Row Echelon Form.
The Row Echelon Form (REF) is a form of a matrix where every leading coefficient is always strictly to the right of the leading coefficient of the row above it.
In other words, the first nonzero element in each row is 1, and each element below the leading 1 is 0.
REF is not unique and can have multiple forms.
However, RREF, on the other hand, is a unique form of a matrix.
This form is obtained from the REF by requiring that all elements above and below each leading coefficient is a zero.
Therefore, RREF has zeros both above and below every leading coefficient. RREF is unique and can only have one form.
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