Mathematics College

Explain how to find the difference -4/5-3/5

Answers

Answer 1
Hello There!

The denominators are already the same therefore you don't need to work on making them the same.
Simply just subtract the numerators:
-4 - 3 = -7
The answer is - 7/5

Hope This Helps You!
Good Luck :) 

- Hannah ❤ 
Answer 2

The difference between -4/5 and -3/5 is found by changing the subtraction to addition and combining the numerators, resulting in -1/5.

To find the difference between -4/5 and -3/5, you change the subtraction operation to addition by changing the sign of the second fraction. This is similar to the process described by the example, where subtracting a negative number is the same as adding its positive counterpart (e.g., 2 - (-6) = 2 + 6). In the case of fractions, the process is the same.

So, the problem -4/5 - (-3/5) becomes -4/5 + 3/5. Since both fractions have the same denominator, you can combine the numerators directly. The result is the difference of the numerators over the common denominator:

-4 - (+3) = -4 + 3 = -1Therefore, -4/5 + 3/5 = (-4 + 3) / 5 = -1/5.

The difference between -4/5 and -3/5 is -1/5.

Related Questions

Don't understand how to do the graph

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this question is asking you to show how adding two more students with the score of 80 will affect the graph and its growth. 

help me..please help.

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i dont know this one srry

Are all rectangles similar

Answers

Yes all rectangles are similar but not all are equal, (geometry)
yes. All rectangles are similar no matter how big or small they are (of course, they have to stay as a rectangle)

hope this helps

To evaluate the expression 25x-400, what would x need to be if the result must be at least 200?

Answers

Formula:
[tex]25x - 400 \geqslant 200[/tex]
Add 400:
[tex]25x \geqslant 600[/tex]
Divide by 25:
[tex]x \geqslant 24[/tex]
x must at least be 24

Evaluate 5 c - 3 d+11 when c= 7 and d= 8

Answers

5x7-3x8+11
35-24+11
11+11
The answer is 22
the answer is 11 because you just plug in the numbers for the letter variables and solve 

If two non collinear segments in the coordinate plane have slope 3 what can you conclude

Answers

Two non co-linear segments with a slope of 3 in a coordinate plane would mean that the two segments are parallel to each other and not attached to each other. Having the same slope is the definition of being parallel in the same plane.

What is the slope and y intercept of y=-27.4x

Answers

[tex]y = mx + b[/tex]

This is slope intercept form, where m is the slope and b is the y - intercept. If we compare the to our equation:

[tex]y = -27.4x + 0[/tex] (we can add a 0, because 0 dosen't change the value)

In this case:

[tex]m(slope) = -27.4 ; b(y-inter) = 0[/tex]

Hope this helps!

True or False?
When rainfall increases, the water level in the lake goes up. Rainfall is the independent variable in this situation.

Answers

False. Rainfall would not increase the amount of water in the lake.

Answer:

It is true, this person was wrong. True was the right answer on the test

Step-by-step explanation:

Choose the equation below that represents the line passing through the point (−3, −1) with a slope of 4. (1 point) y = 4x − 11 y = 4x + 11 y = 4x + 7 y = 4x – 7 y − 3 = 4(x + 1) y + 3 = 4(x − 1)

Answers

To find the answer, we can use the equation y-y1=a(x-x1), since we already have a point that the line passes through and we know the slope of the line. So, we can plug in our known values into the equation, making it y+1=4(x+3) since the double negatives end up making our values positive. Then, we can continue solving it by distributing the 4, which makes our equation y+1=4x+12. Then, we can subtract 1 from both sides, making the answer y=4x+11.

Use the equation v=10/p to determine the pressure when the volume is 12 liters

Answers

v = 10/p
12 = 10/p
10/12 = 5/6 or 0.83 (3 repeating)
so p = 5/6 or 0.83 (3 repeating)

Sent a pic of the solution (s).

Which of the following give an equation of a line that passes through the point (6/5,-19,5) and is parallel to the line that passes through the organ and point (-2,-12)

A. y= 6x-11
B. y= 6x-19/5
C. y= 6x-6/5
D. y= 6x+1

Answers

parallel lines, have the same slope, so the slope of the line through 0,0 and -2,-12, is the same as for the line running through (6/5,-19.5) as well, so what is it anyway?

[tex]\bf \begin{array}{lllll} &x_1&y_1&x_2&y_2\\ % (a,b) &({{ 0}}\quad ,&{{ 0}})\quad % (c,d) &({{ -2}}\quad ,&{{ -12}}) \end{array} \\\\\\ % slope = m slope = {{ m}}= \cfrac{rise}{run} \implies \cfrac{{{ y_2}}-{{ y_1}}}{{{ x_2}}-{{ x_1}}}\implies \cfrac{-12-0}{-2-0}\implies \cfrac{-12}{-2}\implies 6[/tex]

so, we're looking for the equation of a line whose slope is 6, and goes through (6/5,-19/5)

[tex]\bf \begin{array}{lllll} &x_1&y_1\\ % (a,b) &({{ \frac{6}{5}}}\quad ,&{{ -\frac{19}{5}}}) \end{array} \\\\\\ % slope = m slope = {{ m}}= \cfrac{rise}{run} \implies 6 \\\\\\ % point-slope intercept \stackrel{\textit{point-slope form}}{y-{{ y_1}}={{ m}}(x-{{ x_1}})}\implies y-\left( -\frac{19}{5} \right)=6\left(x-\frac{6}{5} \right) \\\\\\ y+\cfrac{19}{5}=6x-\cfrac{36}{5}\implies y=6x-\cfrac{36}{5}-\cfrac{19}{5}\implies y=6x-\cfrac{55}{5} \\\\\\ y=6x-11[/tex]

Megan Mei is charged 2 points on a $120,000 loan at the time of closing. The original price of the home before the down payment was $140,000. How much do the points in dollars cost Megan? A. $4,200 B. $2,800 C. $8,200 D. $2,400

Answers

1 point  = 1% of the loan.
The loan is $120,000.
Therefore 2 points cost 0.02*$120,000 = $2,400

Answer: D. $2,400

Answer:  Option 'A' is correct.

Step-by-step explanation:

Since we have given that

Amount of original price of the home before the down payment = $140000

Amount of loan at the time of closing = $120000

Megan Mei is charged 2 points on that amount means

[tex]2\%\ on\ \$120000\\\\=\frac{2}{100}\times 120000\\\\=0.02\times 120000\\\\=\$2400[/tex]

Hence, Option 'A' is correct.

Find the line of symmetry for the parabola whose equation is y = 2x 2 - 4x + 1.

Answers

Answer:

The axis of symm. is x = 1.

Step-by-step explanation:

When faced with a quadratic equation (or formula for a parabola), we can find the equation of the axis of symmetry using the following:

       -b

x = -------

       2a

Please use " ^ " to denote exponentiation:  y = 2x^2 - 4x + 1.

Here, a = 2, b = -4 and c = 1.

Thus, the axis of symmetry of this parabola is

       -(-4)

x = --------- = 1              or    x = 1

       2(2)

christie decided to make bracelets for her class. two-fifths of the bracelets were done on Monday and three-sevenths were done on Tuesday what part of the bracelets are finished?

Answers

[tex]\bf \stackrel{Monday}{\cfrac{2}{5}}+\stackrel{Tuesday}{\cfrac{3}{7}}\impliedby \stackrel{LCD}{35}\implies \cfrac{14+15}{35}\implies \stackrel{done}{\cfrac{29}{35}}[/tex]

Consider a paint-drying situation in which drying time for a test specimen is normally distributed with σ = 9. the hypotheses h0: μ = 73 and ha: μ < 73 are to be tested using a random sample of n = 25 observations.

Answers

Part A:

The z score of the hypothesis testing of n samples of a normally distributed data set is given by:

[tex]z= \frac{x-\mu}{\sigma/\sqrt{n}} [/tex]

Given that the population mean is 73 and the population standard deviation is 9, then the number of standard deviation below the null value of x = 72.3 is given by the z score:

[tex]z= \frac{72.3-73}{9/\sqrt{25}} \\ \\ = \frac{-0.7}{9/5} = \frac{-0.7}{1.8} \\ \\ =-0.39[/tex]

Therefore, 72.3 is 0.39 standard deviations below the null value.



Part B:

The test statistics of the hypothesis testing of n samples of a normally distributed data set is given by:

[tex]z= \frac{x-\mu}{\sigma/\sqrt{n}} [/tex]

Thus given that x = 72.3, μ = 73, σ = 9 and n = 25,

[tex]z= \frac{72.3-73}{9/\sqrt{25}} \\ \\ = \frac{-0.7}{9/5} = \frac{-0.7}{1.8} \\ \\ =-0.39[/tex]

The p-value is given by:

P(-0.39) = 0.3483

Since α = 0.005 and p-value = 0.3483, this means that the p-value is greater than the α, ant thus, we will faill to reject the null hypothesis.

Therefore, the conclussion is do not reject the null hypothesis. there is not sufficient evidence to conclude that the mean drying time is less than 73.



Part C:

In general for the alternative hypothesis, [tex]H_a :\mu\ \textless \ \mu_0[/tex]

[tex]\beta(\mu') = P\left(X \ \textgreater \ \mu_0-z_{1-\alpha}\frac{\sigma}{\sqrt{n}}|\mu'\right) \\ \\ = 1-P\left(-z_{1-\alpha}+\frac{\mu_0-\mu'}{\sigma/\sqrt{n}}\right) [/tex]

So for the test procedure with α = 0.005

[tex]\beta(70) = 1 - P\left(-z_{0.995}+\frac{73-70}{9/5}\right) \\ \\ =1 - P(-2.5755+1.6667)=1-P(-0.9088) \\ \\ =1-0.1817\approx\bold{0.8183 }[/tex]



Part D:

For α = 0.005, and a general sample size n we have that

[tex]\beta(70) = 1 - P\left(-z_{0.995}+\frac{73-70}{9/\sqrt{n}}\right) \\ \\ =1 - P\left(-2.5755+ \frac{3}{9/\sqrt{n}} \right)[/tex]

Since, we want n so that β(70) = 0.01, thus

[tex]1 - P\left(-2.5755+ \frac{3}{9/\sqrt{n}} \right)=0.01 \\ \\ \Rightarrow P\left(-2.5755+ \frac{3}{9/\sqrt{n}} \right)=1-0.01=0.99 \\ \\ \Rightarrow P\left(-2.5755+ \frac{3}{9/\sqrt{n}} \right)=P(2.3262) \\ \\ \Rightarrow -2.5755+ \frac{3}{9/\sqrt{n}}=2.3262 \\ \\ \Rightarrow \frac{3}{9/\sqrt{n}}=4.9017 \\ \\ \Rightarrow \frac{9}{\sqrt{n}} = \frac{3}{4.9017} =0.6120 \\ \\ \Rightarrow \sqrt{n}= \frac{9}{0.6120} =14.7051 \\ \\ \Rightarrow n=(14.7051)^2=216.2[/tex]

so we need n = 217.



Part E

[tex]P-value=P(\bar{X}\leq\bar{x}) \\ \\ =P(\bar{X}\leq72.3)=P\left(z\leq \frac{72.3-76}{9/10} \right) \\ \\ =P\left(z\leq \frac{-3.7}{0.9} \right)=P(z\leq-4.111) \\ \\ =\bold{0.00002}[/tex]

What is 120.571 in expanded form?

Answers

Hi there,

 100 +20 +0 + 0.5+ 0.07+ 0.001

Hope this helps :)

Find the surface area of the surface given by the portion of the paraboloid z=3x2+3y2 that lies inside the cylinder x2+y2=4. (hint: convert to polar coordinates after setting up the integral)

Answers

Parameterize the part of the paraboloid within the cylinder - I'll call it [tex]S[/tex] - by

[tex]\mathbf r(u,v)=\langle x(u,v),y(u,v),z(u,v)\rangle=\left\langle u\cos v,u\sin v,3u^2\right\rangle[/tex]

with [tex]0\le u\le2[/tex] and [tex]0\le v\le2\pi[/tex]. The region's area is given by the surface integral

[tex]\displaystyle\iint_S\mathrm dS=\int_{u=0}^{u=2}\int_{v=0}^{v=2\pi}\|\mathbf r_u\times\mathbf r_v\|\,\mathrm du\,\mathrm dv[/tex]
[tex]=\displaystyle\int_{v=0}^{v=2\pi}\int_{u=0}^{u=2}u\sqrt{1+36u^2}\,\mathrm du\,\mathrm dv[/tex]
[tex]=\displaystyle2\pi\int_{u=0}^{u=2}u\sqrt{1+36u^2}\,\mathrm du[/tex]

Take [tex]w=1+36u^2[/tex] so that [tex]\mathrm dw=72u\,\mathrm du[/tex], and the integral becomes

[tex]=\displaystyle\frac{2\pi}{72}\int_{w=1}^{w=145}\sqrt w\,\mathrm dw[/tex]
[tex]=\displaystyle\frac\pi{36}\frac23w^{3/2}\bigg|_{w=1}^{w=145}[/tex]
[tex]=\dfrac\pi{54}(145^{3/2}-1)\approx101.522[/tex]
Final answer:

To find the surface area of the specified area in the paraboloid, convert the original cartesian coordinates to polar coordinates. Then set up and solve the appropriate double integral over the region defined by the circle in polar coordinates.

Explanation:

To find the surface area of a paraboloid z=3x²+3y² inside the cylinder x²+y²=4, you first set up the integral and then convert to polar coordinates. As per the given paraboloid equation, we know that dz/dx = 6x and dz/dy = 6y. Therefore, the differential of surface area in polar coordinates can be given as √(1+(6r*cosø)²+(6r*sinø)²) rdrdø.

Next, integrate this over the area of a circle in polar coordinates, from r=0 to r=2 and ø=0 to ø=2π. The limits of 2 and 2π come from the given cylinder equation x²+y²=4, which represents a circle of radius 2 in polar coordinates.

The final integral in terms of r and ø should yield the desired surface area of the paraboloid which lies inside the cylinder.

Learn more about Surface Area of Paraboloid here:

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the lines below are parallel. if the slope of the green line is -3 what is the line of the red line

Answers

Since they are parallel they have the same slope, thus the slope of the red line is -3.
If two lines are parallel, their slopes are equal.  Thus, the slope of the red line is also -3.

lim x→25 x−25 /√x−5

Answers

Final answer:

The solution involves multiplying by the conjugate of the denominator to simplify the expression, leading to the finding that the limit as x approaches 25 of (x-25)/(√x-5) equals 10.

Explanation:

The question asks to evaluate the limit lim x→25 (x−25)/(√x−5). At first glance, directly substituting x = 25 into the equation would lead to a 0/0 form, indicating a need for algebraic manipulation to resolve the indeterminate form.

To simplify, we can multiply the numerator and the denominator by the conjugate of the denominator, which is (√x + 5). This approach is helpful in dealing with limits that involve square roots.

Following this step:

Multiply both the numerator and denominator by (√x + 5).

The numerator becomes (x - 25)(√x + 5).

The denominator turns into x - 25 after applying the difference of squares.

Simplify to get (√x + 5), since (x - 25) in numerator and denominator cancel out.

Finally, substitute x = 25 into the simplified form to get 10 as the answer. Therefore, lim x→25 (x−25)/(√x−5) = 10

26×107 What is the value of the second partial product

Answers

2782 is the answer my friend

write 25 x 10^6 in standard from

Answers

It is 25,000,000 :)
=25,000,000x
JIMIN!!!!!!! IT'S JIMIN'S BIRTHDAY TODAY!!! ≧ω≦

For the data in the table does y vary directly with x? X=16,32,48-Y=4,16,36

Answers

Data:

x          y

16        4

32      16

48      36

Direct relation means that the ratio y / x is constant.

So, let's examine this ratio:

Ratio y / x

4/16 = 1/4

16/32 = 1/2

36/48 = 3/ 4

Given that the ratio y/x is not constant, the conclusion is that  y does not vary directly with x.
I'm doing the same test.. what are the answers ?

7x300=7x blank hundreds

Answers

Hello There!

7 x 300 = 7 x three hundreds

Hope This Helps You!
Good Luck :) 

- Hannah ❤
Hey there!

7 x 300 = 7x three hundreds

Hope this helps! :)

you are lying 120 ft away from a tree that is 50 feet tall you look up at the top of the tree approxmaelty how far is your head from the top of the tree in a straight line

Answers

check the picture below.

Solve the equation V=1/3 Bh for B

Answers

v=1/3Bh
multiply both sides by 3over 1 
3/1V=bh 
because 3/1 and 1/3 cancel out 
then divide by h 
so your h cancels out and your answer is 
(3/1V)/h = B

To solve the equation V = 1/3 Bh for B, multiply both sides by 3 to eliminate the fraction and then divide by h, resulting in B = 3V/h.

The equation given is V = 1/3 Bh, where V represents volume, B is the area of the base of the three-dimensional figure, and h is the height. To solve for B, the area of the base, you need to isolate B on one side of the equation. Follow these steps:

Multiply both sides of the equation by 3 to get rid of the fraction on the right-hand side, resulting in 3V = Bh.Next, to solve for B, divide both sides of the equation by h, which gives you B = 3V/h.

Therefore, the formula B = 3V/h is used to calculate the base area B given the volume V and height h of the figure.

You have 900-grams of an an unknown radioactive substance that has been determined to decay according to

D(t)=900e−0.002415⋅t

where t is in years. How long before half of the initial amount has decayed?

It will take ____ years for half of the initial amount to decay. (Round to 1 decimal place)

Answers

The initial amount is 900, half of this is 450. So set the equation equal to 450 and solve for t.

[tex] 450=900e^{-0.002415t} \\ \\ \frac{450}{900} = e^{-0.002415t} [/tex]

Natural logarithm (ln) is base "e" Euler's number

[tex]ln( \frac{450}{900} = ln( e^{-0.002415t} ) \\ \\ln( \frac{450}{900} ) = -0.002415t \\ \\ \frac{ln( \frac{450}{900}) }{-0.002415} = t \\ \\ t = 287.0 yrs[/tex]

It will take approximately 286.8 years for half of the initial amount (900 grams) to decay.

To find the time it takes for half of the initial amount to decay, we need to find the value of t when D(t) is half of the initial amount (900 grams).

Half of the initial amount = 900 grams / 2 = 450 grams

Now, set D(t) equal to 450 and solve for t:

[tex]450 = 900 * e^{-0.002415 * t}[/tex]

Divide both sides by 900:

[tex]e^{-0.002415 * t} = 0.5[/tex]

To find t, take the natural logarithm (ln) of both sides:

[tex]ln(e^{-0.002415 * t}) = ln(0.5)[/tex]

Now, use the property that [tex]ln(e^x) = x:[/tex]

-0.002415 * t = ln(0.5)

Now, solve for t:

t = ln(0.5) / -0.002415

Using a calculator, we get:

t ≈ 286.8 years

So, it will take approximately 286.8 years for half of the initial amount (900 grams) to decay.

To know more about amount:

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A jar contains 8 marbles numbered 1 through 8. an experiment consists of randomly selecting a marble from the jar, observing the number drawn, and then randomly selecting a card from a standard deck and observing the suit of the card (hearts, diamonds, clubs, or spades). how many outcomes are in the sample space for this experiment? how many outcomes are in the event "an even number is drawn?" how many outcomes are in the event "a number more than 2 is drawn and a red card is drawn?" how many outcomes are in the event "a number less than 3 is drawn or a club is not drawn?"

Answers

There are 8 possible outcomes for a marble being drawn and numbered. 
{1,2,3,4,5,6,7,8}
There are 4 possible outcomes for a card being selected from a standard deck.
{ hearts, diamonds, clubs, spades}
So the number of outcomes in the sample space would be 8 x 4 = 32.

In the event "an even number is drawn", there are only 4 possible outcomes for a marble being drawn, {2,4,6,8}, whereas there are still 4 possible outcomes for a suit. So the number of outcomes in the event is 4 x 4 = 16.

In the event "a number more than 2 is drawn and a red card is drawn", there are 6 possible outcomes for the marble being drawn, {3,4,5,6,7,8}, whereas there are only two possible suits for a card being selected as red, {heart, diamond}. So the number of outcomes in this event is 6 x 2 = 12.

In the event "a number less than 3 is drawn or a club is not drawn", the number drawn could be 1 or 2 whereas a spade/heart/diamond could be selected. So the number of outcomes is 2 x 3 = 6.

The number of outcomes in the sample space is 32. There are 16 outcomes for drawing an even number, 12 outcomes for drawing a number more than 2 and a red card, and 30 outcomes for drawing a number less than 3 or not drawing a club.

To determine the number of outcomes in the sample space for the described experiment, one can use the fundamental counting principle. In this case, there are 8 possible marbles that can be drawn and 4 possible suits from a card in a standard deck. So, the total number of outcomes in the sample space is the product of these possibilities, which is 8 marbles × 4 suits = 32 outcomes.

The event "an even number is drawn" corresponds to drawing one of the even-numbered marbles (2, 4, 6, or 8) and any of the 4 suits from the deck. There are 4 even-numbered marbles and 4 suits, resulting in 4 marbles × 4 suits = 16 possible outcomes.

For the event "a number more than 2 is drawn and a red card is drawn," we consider only marbles numbered 3 to 8 (6 possibilities) and the 2 red suits (hearts and diamonds) from the deck, resulting in 6 marbles × 2 red suits = 12 outcomes.

Finally, the event "a number less than 3 is drawn or a club is not drawn" includes two scenarios. The first is drawing marble number 1 or 2 (2 possibilities) and any of the 4 suits (8 outcomes). The second scenario includes drawing any of the 8 marbles and any of the 3 non-club suits (24 outcomes). Since the two scenarios are mutually exclusive, you add the outcomes: 8 + 24 = 32 outcomes. However, you must subtract the overlapping outcomes of drawing 1 or 2 with non-club suits (2 outcomes), resulting in 32 - 2 = 30 distinct possible outcomes for this event.

Find dy/dx by implicit differentiation and evaluate the derivative at the given point.xy = 12, (-4, -3)

Answers

xy=12
xdy/dx + y = 12
xdy/dx = 12 - y
dy/dx= (12-y) /x
dy/dx | x=-4 ,y=-3 = (12-(-3))/(-4)
= (12+3)/-4 = -15/4

3.5 x 10^4 write the following number in standard form (decimal).

Answers

Answer:

35,000

Step-by-step explanation:

Find the value of x. Round the length to the nearest 10th the diagram is not shown to scale

Answers

In the given diagram:
measure angle DAB + measure angle BAC = 90 degrees
we are given that measure angle DAB = 10 degrees
Therefore:
measure angle BAC = 90 - 10 = 80 degrees

Now, triangle ABC is a right-angled triangle which means that we can use the trigonometric functions.
The function that we will use is:
cos theta = (adjacent) / (hypotenuse) where
theta = 80 degrees
adjacent = 500
hypotenuse is "x" that we want to calculate.

Substitute to get x as follows:
cos 80 = 500 / x
x = 500 / cos 80 = 500 / 0.1736 = 2879.4 m
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