i am in 5th grade help 7/8x 1/3

Triangle ABC and ADE are similar triangles

Similar triangles have the same corresponding angle measures and proportional side lengths.

This means that for two triangles to be similar, the corresponding angles must be equal and the ratio of corresponding sides of similar triangles are equal.

It has been shown that angles in ABC and ADE are equal.

To show that the ratio of corresponding sides are equal

6/12 = 8/16 = 10/20

The ratios all give a value of 1/2

Therefore we can say that the triangles ABC and ADE are similar.

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Answer:

Step-by-step explanation:

We will use the reduction of order to solve this equation. At first, we need a solution of the homogeneus solution.

Consider the equation \(y''+2y'+y=0\) We will assume that the solution is of the form \(y=Ae^{rx}\). If we plug this in the equation, we get

\(Ae^{rx}(r^2+2r+1)=0\)

Since the exponential function is a positive function, and A should be different to zero to have non trivial solutions, we get

\(r^2+2r+1=0\)

By using the quadratic formula, we get the solutions

\(r= \frac{-2\pm \sqrt[]{4-4}}{2}=-1\)

So one solution of the homogeneus equation is of the form \(y=Ae^{-x}\). To use the reduction of order assume that

\( y = v(x)y_h\)

where \(y_h = Ae^{-x}\). We calculate the derivatives and plug it in the equation

\( y' = v'y_h+y_h'v\)

\(y'' = v''y_h+v'y_h'+y_h'v'+y_h''v = v''y_h+2v'y_h+y_h''v\)

\((v''y_h+2v'y_h'+y_h''v)+2(v'y_h+y_h'v)+vy_h = 0\)

If we rearrange the equation we get

\(v''y_h+(2y_h'+2y_h)v'+v(y_h''+2y_h'+y_h)=0\)

Since \(y_h\) is a solution of the homogeneus equation we get

\(v''y_h+(2y_h'+2y_h)v'=0\)

If we take w = v', then w' = v''. So, in this case the equation becomes

\(w'y_h+(2y_h'+2y_h)w=0\)

Note that \(y_h' = -1y_h\) so

\(w'y_h=0\). Since \(y_h\) cannot be zero, this implies

w' =0. Then, w = K (a constant). Then v' = K. So v=Kx+D where D is a constant.

So, we get that the general solution is

\( y = vAe^{-x} = (Kx+D)Ae^{-x} = Cxe^{-x} + Fe^{-x}\) where C, F are constants.

Answer:

13.5 miles

Step-by-step explanation:

Answer: 6.75 miles per half hour

Step-by-step explanation: hope its help

Answer:



Step-by-step explanation:

Answer:

36

Step-by-step explanation:

we have:

each calculator = 4 batteries

$32.98 for 20 calculator batteries

cost of batteries for 110 graphing calculators = ?

then

i.e. you need to buy 22 packages of calculater batteries. and the cost is:

answer is $725.56

Answer:

Step-by-step explanation:

Initial volume of juice = 48 ounces each

Mark

Steven

Total remaining juice: 12 + 16 = 28 ounces

Correct choices: A, C and D

Answer:

5x^2 +28x - 100

Step-by-step explanation:

f(x)=7x^2−2 and g(x)=2(x−7)^2

First simplify g(x)

g(x) = 2 ( x-7)(x-7) = 2( x^2 - 7x -7x +49) = 2(x^2 -14x +49) = 2x^2 -28x +98

Now f(x) - g(x)

f(x) - g(x) = 7x^2−2 - (2x^2 -28x +98)

Distribute the minus sign

            = 7x^2−2 - 2x^2 +28x -98

Combine like terms

            = 5x^2 +28x - 100

Answer:

Please upload an image of your Brainly question

Answer:

65

Step-by-step explanation:

The lines are parallell so m1 = m5, and m3=m8. 180-115 is 65

Answer:

2 caplets contain 574 milligrams of medication.

Step-by-step explanation:

1 caplet = 287 milligrams

x caplets = 574 milligrams

Divide:

574 ÷ 287 = 2

-Chetan K

Answer:

1. 332

2. 177

Step-by-step explanation:

If the mean time between unscheduled maintenance of LCD displays in a hospital's CT scan facility is 4,000. The probability of unscheduled maintenance in exactly 5,000 hours is:.7135.

Using this formula to the probability of unscheduled maintenance in exactly 5,000 hours

P ( X < 5000) = 1 - e^(-λx)

Where:

e = exponent

-λ = Operating hour

x = Number of hours

Let plug in the formula

P ( X < 5000) = 1 - e^(-(1/4000) × 5000)

P ( X < 5000) = 1- e^-1.25

P ( X < 5000)  = 1 - .2865

P ( X < 5000)  = .7135

Therefore the probability is .7135.

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There are no solutions to the system of inequalities Option (d)

Inequalities are a fundamental concept in mathematics and are commonly used in solving problems that involve ranges of values.

A system of two inequalities is a set of two inequalities that are considered together. In this case, the system of inequalities is

y > 3x + 1

y < 3x - 3

The inequality y > 3x + 1 represents a line on the coordinate plane with a slope of 3 and a y-intercept of 1. The inequality y < 3x - 3 represents another line on the coordinate plane with a slope of 3 and a y-intercept of -3. We can draw these lines on the coordinate plane and shade the regions that satisfy each inequality.

The first line has a positive slope and goes through (negative 2, negative 5) and (0, 1). Everything to the left of the line is shaded. The second line has a positive slope and goes through (0, negative 3) and (1, 0). Everything to the right of the line is shaded.

We can start by analyzing the inequality y > 3x + 1. This inequality represents the region above the line with a slope of 3 and a y-intercept of 1. Therefore, any point that is above this line satisfies this inequality.

Next, we analyze the inequality y < 3x - 3. This inequality represents the region below the line with a slope of 3 and a y-intercept of -3. Therefore, any point that is below this line satisfies this inequality.

To determine which values satisfy both inequalities, we need to find the region that satisfies both inequalities. This region is the intersection of the regions that satisfy each inequality.

When we analyze the regions that satisfy each inequality, we see that there is no region that satisfies both inequalities. Therefore, there are no values that satisfy the system of inequalities shown.

There are no solutions to the system of inequalities y > 3x + 1 and y < 3x - 3 by analyzing the regions that satisfy each inequality on a coordinate plane. The lack of a solution is determined by the fact that there is no region that satisfies both inequalities.

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Complete Question :

Which is true about the solution to the system of inequalities shown?

y > 3x + 1

y < 3x – 3

On a coordinate plane, 2 solid straight lines are shown. The first line has a positive slope and goes through (negative 2, negative 5) and (0, 1). Everything to the left of the line is shaded. The second line has a positive slope and goes through (0, negative 3) and (1, 0). Everything to the right of the line is shaded.

Options:

a)Only values that satisfy y > 3x + 1 are solutions.

b)Only values that satisfy y < 3x – 3 are solutions.

c)Values that satisfy either y > 3x + 1 or y < 3x – 3 are solutions.

d)There are no solutions.

Answer:

D

Step-by-step explanation:

The author of the review is disappointed with the meatball sub casserole recipe posted on Recipe Masters, which did not turn out well despite following the recipe.

The author recommends that others should not attempt to make the recipe and believes that Recipe Masters should ensure that their posted recipes are reliable and thoroughly tested. The author also implies that the quality of the recipes on Recipe Masters is not as advertised, which could potentially lead subscribers to lose faith in the service and seek out free recipe sites instead.

Therefore, a suitable summary of the author's point of view would be: The author is dissatisfied with the meatball sub casserole recipe on Recipe Masters, which did not work out well and believes that Recipe Masters should provide reliable, thoroughly tested recipes as advertised.

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Answer:

\(k = - 3\)

Step-by-step explanation:

\(y = kx\)

\(k \times ( - 1) = 3\)

\( - k = 3\)

\(k = - 3\)

Answer:

\(k = -3\)

Step-by-step explanation:

Step 1: Substitute

To solve this problem you are going to need to substitute the values of y and x into the problem y=kx.  Which would give you the problem of 3=-1k or 3 = -k to make things easier.

Step 2: Using properties of equality

In order to isolate the value of k you would need to divide both sides by -1 because division cancels out multiplication. You would get \(\frac{3}{-1} = \frac{-k}{-1}\) or \(-3 = k\)

Step 3: Check

In order to check this problem you would need to insert the values back into the original equation and solve. So that would be 3= -1*-3 which does equal 3. So the answer is correct

A 98​% confidence interval estimate of the standard deviation of the wake times for a population with the drug treatments is

70.9 min < x-bar < 113.3 min

Yes, the result indicate that the treatment is​ effective

Confidence interval gives the probability that the unknown parameter will fall within a stated range

The confidence interval is constructed using the formula

confidence interval = x-bar ± z(s/√n)

Definition of variables

mean, x-bar = 92.1 min

standard deviation, s = 40.5 min

sample size, n = 23

confidence level = 98%

z score, z

For sample size less than 30, n < 30. t scores are used

degree of freedom, df = n - 1 = 23 - 1 =22

t score for 98% confidence level and dt of 22 = 2.509

substituting into the formula

= x-bar ± t(s/√n)

= 92.1 ± 2.509 (40.5 / √23)

= 92.1 ± 21.188

= 70.9112 < x-bar < 113.288  

Effectiveness of the treatment

when a test a test more than 2 standard deviations away from mean it is considered unusual. The usual range is

= 92.1 ± 2 * 40.5

= 11.5 < x-bar < 173.5

Hence the treatment is effective

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Answer:

Yes

Step-by-step explanation:

Answer:

No.

Step-by-step explanation:

40 * 3 is 120 not 128, so if he ordered 42 Large T-shirts instead he would have 126 XL shirts and 126 + 42 is 168, the correct number

Answer:

Slope=m=5/4

Point through which line is passing is (X,Y)=(4,−1)

By using slope-point form, the equation of line is given as,

(y−Y)=m(x−X)

(y−(−1))=5/4(x−4)

(y+1)=5x/4−5

(y+1)=(5x−20)/4

4(y+1)=5x−20

4y+4=5x−20

5x−4y−20−4=0

5x−4y−24=0

is the equation of line passing through the point (4,−1)and having slope 5/4

Hope it helps you :)

Step-by-step explanation:

The time is taken by the 8 gardeners to landscape the same garden will be 30 hours.

A ratio is an ordered set of integers a and b expressed as a/b, with b never equaling 0. A proportional is a mathematical expression in which two things are equal.

It takes 5 gardeners 48 hours to landscape a garden.

Then the time taken by the 8 gardeners to landscape the same garden will be

The relationship between the gardeners and time is inversely proportional. Then we have

Let x be the time taken by the 8 gardeners. Then we have

8x = 5×48

 x = 30 hours

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Answer:

D because 6/30 is not the same as 2:10

Answer:

2/5 is not equibalent to 2:10

Step-by-step explanation:

2:10

1/5 × 2 = 2/10

2/5 × 2 = 4/10

4/20÷2 = 2/10

6/30÷3 = 2/10

An algebraic expression that is equivalent to the given expression

(2c³)⁵(4c⁴) / (8c⁶)² is equal to 2c⁷.

As given in the question,

Given algebraic expression is equal to :

(2c³)⁵(4c⁴) / (8c⁶)²

Law of indices:

mᵃ × mᵇ = mᵃ⁺ᵇ

mᵃ ÷ mᵇ = mᵃ⁻ᵇ

To get equivalent expression simplify the given expression

(2c³)⁵(4c⁴) / (8c⁶)² using law of indices:

(2c³)⁵(4c⁴) / (8c⁶)²

= ( 2⁵c¹⁵) ( 2²c⁴) / ( 2³c⁶)²

=( 2⁵c¹⁵) ( 2²c⁴) / ( 2⁶c¹²)

= 2⁵⁺²⁻⁶ c¹⁵⁺⁴⁻¹²

= 2c⁷

Therefore, an algebraic expression that is equivalent to the given expression (2c³)⁵(4c⁴) / (8c⁶)² is equal to 2c⁷.

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Answer: 11.76

Step-by-step explanation:

The formula for cylinder is pi*r^2*h

so substitute and you will get pi*1.44*2.6

Simplify it and you will get 11.75616 or 11.76.

Answer:

11.8 yards

Step-by-step explanation:

Answer:

the answer would be (7,5)

well, a year has a total of 12 months, so 3 months is really 3/12 of a year.

\(~~~~~~ \textit{Simple Interest Earned Amount} \\\\ A=P(1+rt)\qquad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{original amount deposited}\dotfill & \$2700\\ r=rate\to 8.2\%\to \frac{8.2}{100}\dotfill &0.082\\ t=years\to \frac{3}{12}\dotfill &\frac{1}{4} \end{cases} \\\\\\ A=2700[1+(0.082)(\frac{1}{4})] \implies A = 2700(1.0205)\implies A=2755.35\)

Answer:

94.85 rounded to the nearest tenth is 94.9

Answer: They are like terms and terms

Hope this helps :)

Step-by-step explanation:

18p and 3p are terms that happen to have the same variable to be like terms.

Answer:

#1 I believe the answer is 4 and for 2 I believe the answers are 3&4