Answer:
y=0.75x+2
Step-by-step explanation:
you can also do y=3/4x+2
Negative four and one-fifth minus negative thirteen and one-tenth
Answer:
8 nine tenths
Step-by-step explanation:
What are the three types of horizontal asymptotes?
There are 3 cases to consider when determining horizontal asymptotes:
1) Case 1: if: degree of numerator < degree of denominator. then: horizontal asymptote: y = 0 (x-axis)
2) Case 2: if: degree of numerator = degree of denominator.
3) Case 3: if: degree of numerator > degree of denominator.
The diagram shows the cross-section of an inverted cone of height
MC=12 cm. If AB = 6cm and XY = 2cm, use similar triangles to
find the length NC.
Answer:
4Cm
Step-by-step explanation:
According to Similar Triangle, NC / MC = XY / AB.
NC = 2/3 × 12
NC = 4Cm
And that's all. :)
Need help
1000x+27x+5.5=9236
Answer:
x = 8.98782862707
Step-by-step explanation:
Base on the given we can infer that we are solving for x:
Given equation:
1000x+27x+5.5=9236
Combine similar terms
1027x + 5.5 = 9236
Subtract both side by 5.5
1027x + 5.5 = 9236
-5.5 -5.5
-------------------------------------
1027x = 9230.5
Now divide both sides by 1027x
9230.5 / 1027
x = 8.98782862707
[RevyBreeze]
AGAIN HELP!!!!!!!!!!!!!!!STILL TRYING TO TEACH MYSELF LOL
What is the equation of this line in standard form?
A. 6x−7y=11
B. 6x−5y=−13
C. 7x−6y=11
D. 6x−7y=−11
Answer:
The correct equation is D.) 6x - 7y = -11
Step-by-step explanation:
What is the value of f(m) = 55?
Answer:
Step-by-step explanation:The exponent of a number shows how many times the number is multiplied by itself.
According to the rules of exponents,
We know that, am ÷ an = am − n
(5m ÷ 5−3) = 55
5m−(−3) = 55
5m + 3 = 55
The bases are the same on both the sides, so their exponents must be equal.
∴ m + 3 = 5
⇒ m = 5 − 3
⇒ m = 2
how to derive the quadratic formula from ax2+bx+c=0
The quadratic formula, providing the solutions for any quadratic equation is \(x = (-b \pm \sqrt(b^2 - 4ac)) / (2a).\)
To derive the quadratic formula, we start with the quadratic equation in standard form: \(ax^2 + bx + c = 0\), where a, b, and c are constants and a ≠ 0.
Step 1: Divide the equation by 'a' to isolate the quadratic term:
\(x^2 + (b/a)x + c/a = 0.\)
Step 2: Move the constant term (c/a) to the right side:
\(x^2 + (b/a)x = -c/a.\)
Step 3: Add (b/2a)^2 to both sides of the equation to complete the square on the left side:
\(x^2 + (b/a)x + (b/2a)^2 = (b/2a)^2 - c/a.\)
Step 4: Simplify the right side:
\(x^2 + (b/a)x + (b^2/4a^2) = (b^2 - 4ac) / (4a^2).\)
Step 5: Factor the left side of the equation:
\((x + b/2a)^2 = (b^2 - 4ac) / (4a^2).\)
Step 6: Take the square root of both sides:
\(x + b/2a = \pm \sqrt((b^2 - 4ac) / (4a^2)).\)
Step 7: Simplify the right side:
\(x + b/2a = \pm \sqrt(b^2 - 4ac) / (2a).\)
Step 8: Finally, isolate 'x' by subtracting b/2a from both sides:
\(x = (-b \pm \sqrt(b^2 - 4ac)) / (2a).\)
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What is a first step to isolate the variable ?btw it’s for iready lol
Answer:
The first step would be to multiply 2x - 1 by 6, which would be 12x - 6 .
PLEASE ANSWER TOADAY !!!!!!!!!!!!!!!!!
Answer:
most likely next spring
Step-by-step explanation:
Step-by-step explanation:
y=-x+7
Graph it also if you can
Answer:
Hope this helps!!
If M=1,000,P=2.25, and Y=2,000, what is velocity? a. 2.25 b. 4.5 c. 2 d. None of the above is true
Answer:d
Step-by-step explanation:
The answer is d. None of the above is true.
To calculate velocity, we need to use the equation:
Velocity = M * P / Y
Given:
M = 1,000
P = 2.25
Y = 2,000
Plugging in the values:
Velocity = 1,000 * 2.25 / 2,000
Simplifying:
Velocity = 2.25 / 2
The result is:
Velocity = 1.125
Therefore, the correct answer is: d. None of the above is true.
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F(x) = 2(-x + 1) find if f(-4)
Given
\( \: \: \: \)
\( \tt \: f(x) = - 4\)\( \: \: \: \)
Let's Solve
\( \: \: \: \)
\( \tt \: 2( - x + 1)\)\( \: \: \)
\( \tt \: 2( - ( - 4) + 1)\)\( \: \: \)
\( \tt \: 2( \: 5 \: )\)\( \: \: \: \)
\( \tt \color{skyblue} f(x) = 10\)What is 56.000,000,000 in scienfic notaion?
Answer:
56,000 = 5.6 x 10^**4
Step-by-step explanation:
56,000 = 56 x 10,000
Inserting decimal:
56 x 1,000 = 5.6 x 10,000
Answer:
56,000 = 5.6 x 10^**4
( btw ^** means exponent )
Estimate ΔyΔy using differentials.
y=cos(5x),=/30,x=0.055
(Give your answer to three decimal places.)
The estimated change in yy using differentials is -0.00679. This means that if xx is increased by 0.005, then yy is estimated to decrease by 0.00679. The differential of yy is dy=-5sin(5x)dxdy=−5sin(5x)dx. We are given that y=cos(5x)=π/30y=cos(5x)=π/30 and x=0.055x=0.055.
We want to estimate ΔyΔy, which is the change in yy when xx is increased by 0.005. We can use the differential to estimate ΔyΔy as follows:
Δy≈dy≈dy=-5sin(5x)dx
Plugging in the values of y, x, and dxdx, we get:
Δy≈-5sin(5(0.055))(0.005)≈-0.00679
Therefore, the estimated change in yy using differentials is -0.00679.
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a. If a polygon is a square, then it is a rectangle.
CONVERSE:
Tor F?
b. If a polygon is a rectangle, then it has four 90°
angles.
CONVERSE:
Tor F?
c. If a shape is a rectangle, the formula for its area is
base times height.
CONVERSE:
Tor F?
Answer:
a. If a polygon is a rectangle, then it is a square
False
b. If a polygon has four 90 degree angles, then it is a rectangle
True
c. If the formula for a shape's area is base time height, it is a rectangle
False
If P = 160 meters and w = 34 meters, find I. P = 21+ 2w
Hey there!
ASSUMING:
p = 2l + 2w
IF SO:
• We already have our perimeter (p) & our width (w), now you have to find our length (l)
160 = 2l + 2(34)
CONVERT TO:
2l + 2(34) = 160
SIMPLIFY IT:
2l + 68 = 160
SUBTRACT 68 to BOTH SIDES:
2l + 68 - 68 = 160 - 68
SIMPLIFY IT:
2l = 160 - 68
2l = 92
DIVIDE 2 to BOTH SIDES:
2l/2 = 92/2
SIMPLIFY IT:
l = 92/2
l = 46
Therefore, your answer should be:
l = 46
Good luck on your assignment & enjoy your day!
~Amphitrite1040:)
anyone good at solving rational zeros
Answer:
I am what's your question?
Step-by-step explanation:
Composition about myself in 150 words
Answer:
I am a student who’s studying in a prestigious college in Bangalore city. It’s a city where I grew up. I live in a town with my family. The school I studied till 12th is also in the town.
Things I am good at
Almost everyone is kind at least one sport. The one competition that I am good at is basketball. In my school, almost everyone had an obsession with the sport, and so did I. Every game period, my teacher would make us play basketball, along with other games. Over the years, the way I played basketball improved, and while learning the game, I discovered other lessons as well. One of the lessons I’ve learned is how to play in a team. When you play in a group, you depend on each other for winning.
I have always been energetic and lively. While many people feel awkward and weird, making me friends, I have no problems with making new friends. I can talk to everyone quickly and know them.
This is not about me took it from the web!!
Hope it helps!!!
A normal distribution has μ = 30 and Ï = 5.
(a) Find the z score corresponding to x = 25.
(b) Find the z score corresponding to x = 42.
(c) Find the raw score corresponding to z = â3.
(d) Find the raw score corresponding to z = 1.5.
(a) The z-score corresponding to x = 25 is -1. (b)The z-score corresponding to x = 42 is 2.4.(c) The raw score corresponding to z = -3 is 15. (d) The raw score corresponding to z = 1.5 is 37.5.
For a normal distribution with mean μ = 30 and standard deviation σ = 5:
(a) To find the z-score corresponding to x = 25, we use the formula:
z = (x - μ) / σ
Substituting the values, we get:
z = (25 - 30) / 5 = -1
Therefore, the z-score corresponding to x = 25 is -1.
(b) To find the z-score corresponding to x = 42, we again use the formula:
z = (x - μ) / σ
Substituting the values, we get:
z = (42 - 30) / 5 = 2.4
Therefore, the z-score corresponding to x = 42 is 2.4.
(c) To find the raw score (x) corresponding to z = -3, we use the formula:
z = (x - μ) / σ
Rearranging the formula, we get:
x = μ + zσ
Substituting the values, we get:
x = 30 + (-3) x 5 = 15
Therefore, the raw score corresponding to z = -3 is 15.
(d) To find the raw score (x) corresponding to z = 1.5, we use the same formula:
x = μ + zσ
Substituting the values, we get:
x = 30 + 1.5 x 5 = 37.5
Therefore, the raw score corresponding to z = 1.5 is 37.5.
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Hi yall plz help me!
Answer:
the correct answer is
oh it's not possible
i give u a hint
pit the value of y
-2 - 4x = 14
What is x?
Answer:
x= -4
Step-by-step explanation:
-2 - 4x = 14 + 2 -4x=16/-4 = x = -4
+2 /-4
Checking answers:
-2 -4(-4) = 14
-2 + 16= 14 so true
Hope this helps :)
Answer:
-4 !
Step-by-step explanation:
it would be negative 4 :)
-2-4x=14
+2 +2
----------------
-4x=16
divide by -4 on each side to isolate "x"
x=-4
Juan cut a square paper vertically to make two rectangle pieces. Each rectangle had a perimeter of 63 inches.
How long is each side of the original square paper?
Answer: Each side of the original square paper was 42 inches long.
Step-by-step explanation:
Let's start by using algebra to solve the problem.
Let x be the length of a side of the original square paper, in inches.
When Juan cut the paper vertically to make two rectangle pieces, he created two rectangles with different dimensions. However, we know that the perimeter of each rectangle is 63 inches.
The formula for the perimeter of a rectangle is:
Perimeter = 2 x Length + 2 x Width
We can use this formula to create two equations, one for each rectangle:
63 = 2L1 + 2W1
63 = 2L2 + 2W2
Since the original square paper was cut vertically, we know that the length and width of each rectangle must add up to x.
We can use this information to write two more equations:
L1 + W1 = x
L2 + W2 = x
Now we have four equations:
63 = 2L1 + 2W1
63 = 2L2 + 2W2
L1 + W1 = x
L2 + W2 = x
We have four equations and four unknowns (L1, W1, L2, W2), so we can solve for x.
First, let's simplify the equations by solving for one of the variables in terms of the others. We can solve the equations for L1 and L2:
L1 = x - W1
L2 = x - W2
Now we can substitute these expressions into the perimeter equations:
63 = 2(x - W1) + 2W1
63 = 2(x - W2) + 2W2
Simplifying, we get:
63 = 2x + 2W1
63 = 2x + 2W2
Subtracting 2x from both sides of each equation, we get:
2W1 = 63 - 2x
2W2 = 63 - 2x
Dividing both sides of each equation by 2, we get:
W1 = (63 - 2x)/2
W2 = (63 - 2x)/2
Now we can substitute these expressions into the equations for L1 and L2:
L1 = x - (63 - 2x)/2
L2 = x - (63 - 2x)/2
Simplifying, we get:
L1 = (3x - 63)/2
L2 = (3x - 63)/2
Now we can use the fact that the perimeter of each rectangle is 63 inches to create one more equation:
2L1 + 2W1 = 63
Substituting in the expressions for L1 and W1, we get:
2[(3x - 63)/2] + [(63 - 2x)/2] = 63
Simplifying, we get:
3x = 126
Dividing both sides by 3, we get:
x = 42
Therefore, each side of the original square paper was 42 inches long.
44-17\(44-17\)
The difference between the given values as a whole number is 27
Finding the difference between valuesTo find the difference between two numbers, subtract the number with the smallest value from the number with the largest value.
Given the following expression
44 - 17
This can also be expressed as
44 = 40 + 4
17 = 10 + 7
Substitute
44 - 17 = (40 + 4) - (10+ 7)
Expand
44 - 17 = 40 + 4 -10 - 7
44 - 17 = 40 - 10 + 4 - 7
44 - 17 = 30 - 3
44 - 17 = 27
Hence the difference between the given values as a whole number is 27
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On June 1, Mark deposited $5000 into his savings account, that pays
3.2% interest. Ten days later he withdrew $2000. Following another eight
days, he deposited $3500 into the account. Five more days passed and
Mark deposited $250. Finally, after seven days, the bank calculates the
interest. How much Simple interest did he earn?
The interest that Mark will earn at the end will be $3854.62.
What is simple interest?Simple interest can be defined as a form of interest in which the percent rate is applied on the same principal for a given period of time.
The given problem can be solved using the expression for the simple interest as (p × r × t)/100.
As per the question,
The interest obtained after 10 days is given as,
(5000 × 3.2 × 10)/100 = $1600
Then, the amount is 5000 + 1600 = $6600.
After withdrawal of $2000, the new principal becomes 6600 - 2000 = $4600.
Now, the interest is given for 8 days as,
(6600 × 3.2 × 8)/100 = $1689.6
The total amount after depositing $3500 is 6600 + 1689.6 + 3500 = $11789.6.
Again, the interest for another 5 days is,
(11789.6 × 3.2 × 8)/100 = $3018.13
The new principal for another seven days after depositing $250 is,
11789.6 + 3018.13 + 250 = 15057.13
The interest is calculated as,
(15057.13 × 3.2 × 8)/100 = $3854.62
Which is equivalent to the total interest earned.
Hence, the total interest earned by Mark is given as $3854.62.
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As you have seen, relativistic calculations usually involve the quantity When is appreciably greater than we must use relativistic formulas instead of Newtonian ones. For what speed (in terms of is the value of greater than (b) 10
greater than 1 ; (c) 100
greater than 1
The value of γ is greater than 1 for any v > 0, greater than 10 for v > 0.995c, and greater than 100 for v > 0.99995c.
To determine for what speed (in terms of c) the value of γ is greater than 1, 10, and 100, we'll use the formula for the Lorentz factor (γ):
γ = 1 / √(1 - v²/c²)
where v is the speed and
c is the speed of light.
(a) For γ > 1:
Since γ is always greater than 1 for any speed v greater than 0, we can say that γ is appreciably greater than 1 for any v > 0.
(b) For γ > 10:
We need to solve the equation 10 = 1 / √(1 - v²/c²) for v/c:
Squaring both sides, we get 100 = 1 / (1 - v²/c²).
Now, solve for v²/c²: v²/c² = 1 - 1/100 = 99/100.
So, v/c = √(99/100), which implies v > 0.995c for γ > 10.
(c) For γ > 100:
Similar to (b), solve the equation 100 = 1 / √(1 - v²/c²) for v/c:
Squaring both sides, we get 10000 = 1 / (1 - v²/c²).
Now, solve for v²/c²: v²/c² = 1 - 1/10000 = 9999/10000.
So, v/c = √(9999/10000), which implies v > 0.99995c for γ > 100.
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a sample of 50 lenses used in eyeglasses yields a sample mean thickness of 3.05 mm and a sample standard devia- tion of .34 mm. the desired true average thickness of such lenses is 3.20 mm. does the data strongly suggest that the true average thickness of such lenses is some- thing other than what is desired? test using a 5 .05.
A type of statistical hypothesis known as a "null hypothesis" makes the case that a given set of observations does not have any statistical significance.
Using sample data, hypothesis testing is used to determine a hypothesis's credibility. It is represented as H0, and it is sometimes referred to as the "null."
Given; The average thickness and standard deviation of a sample of 50 eyeglass lens samples are 3.05 millimeters and.34 millimeters, respectively.
Such lenses should have a true average thickness of 3.20 mm. Utilizing a =.05
False hypothesis H0: Alternative hypothesis: mu1= mu2 HA: 'mu1' and 'ne'
Sample Size 50 Sample Mean 3.05 Sample Standard Deviation 0.34 Intermediate Calculations Standard Error of the Mean 0.0481 Degrees of Freedom 49 t Test Statistic -3.1196 Two-Tail Test Lower Critical Value -2.0096 Upper Critical Value 2.0096 p-Value 0.0030 Reject the null hypothesis
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find the value of unknown angle x,y,z,a,b,c with reasons and full process
Answer:
Step-by-step explanation:
x = 70 degree (being vertically opposite angles)
y + 70 degree =180 degree (being linear pair)
y = 180 - 70
y = 110 degree
In triangle,
x + 60 + misssing angle = 180 degree (sum of interior angles of a triangle)
70 + 60 + missing angle =180
130 + missing angle = 180
missing angle = 180 - 130
missing angle = 50 degree
c = missing angle (being vertically opposite angles )
c = 50 degree
x + missing angle = a (sum of two interior opposite angles is equal to the exterior angle formed)
70 + 50 = a
120 degree = a
a = b (being vertically opposite angle
120 =b
therefore b is 120 degree
Hence , a = 120 degree , b = 120 degree , c = 50 degree , x = 70 degree , y = 110 degree
A group of friends were working on a student film that had a budget of $700. They used 42% of their budget on equipment. How much money did they spend on equipment?
Answer:
294
Step-by-step explanation:
100%-> 700
42%->294
What is the solution of log (3x+2) = log2 (4x-6)?
08
0-6
08
9
Answer:
The answer is 8.
Value of equation log (3x+2) = log2(4x-6) is 2.8
What is equation?An equation is a formula that expresses equality by connecting two expressions with an equal sign =. It consists of variables, constants and coefficients
given equation,
log(3x+2) = log2(4x-6)
Taking antilog on both sides
3x + 2 = 2(4x - 6)
3x + 2 = 8x - 12
8x - 3x = 12 + 2
5x = 14
x = 14/5
x = 2.8
Hence, 2.8 is the value of equation log (3x+2) = log2(4x-6).
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