which graph represents the equation x2 8y

Answer:

5:8

Step-by-step explanation:

Yes, the proof of congruence of two triangles ∆ABC ≅ ∆GHF is possible.

The convergence method which proves this congruence is SSS(side-side-side) congruence.

We have given the sketch of two triangles as seen above. We have to prove ∆ABC ≅ ∆GHF

Now , AB = √(-7+7)² + 5² = 5 in triangle ABC and FG = 5 in triangle FGH,

so, AB ≅ FG

Because AC = 3 in triangle ABC and FH = 3 in triangle FGH,

so, AC ≅ FH

To find the lengths of BC and GH , we can use distance formula.

Length of BC :

BC = √[(x₂ - x₁)² + (y₂ - y₁)²]

(x₁, y₁) = B(-7, 0) and (x₂, y₂) = C(-4, 5).

BC = √[(-4 + 7)² + (5 - 0)²]

= √[32 + 52]

= √[9 + 25]

= √34

Length of GH :

GH = √[(x₂ - x₁)² + (y₂ - y₁)²]

(x₁, y₁) = G(1, 2) and (x₂, y₂) = H(6, 5).

GH = √[(6 - 1)² + (5 - 2)²]

= √[52 + 32]

= √[25 + 9]

= √34

Conclusion :because BC = √34 and GH = √34,

=>BC ≅ GH

All the three sides of one triangle is congruent to the corresponding sides of other triangle.

By SSS congruence postulate,

ΔABC ≅ ΔFGH

To learn more about SSS (Side-Side- Side ) Congruence postulate , refer:

https://brainly.com/question/24079210

#SPJ4

The exponential decay formula is f(x) = abx, where b stands for the decay factor. The decay rate in the exponential decay function is specified as a decimal.

At regular intervals, the sum steadily declines by a specified percentage. This decline in growth is calculated using the exponential decay formula. The general form of f(x) is f(x) = a (1 - r)x. Where, a = The starting point, decay rate = r, x = length of time.

When we need to make rapid calculations in a generic way, the exponential growth and decay calculator comes in handy. However, you should not use it frequently as it may slow down your ability to answer issues through math. To improve your comprehension, you must practice word problems with exponential growth and decay on paper.

The exponential decay formula is f(x) = abx, where b stands for the decay factor. The decay rate in the exponential decay function is specified as a decimal. A percentage is used to represent the degradation rate. Simply decreasing the percent and dividing it by 100 yields the decimal equivalent. The decay factor b = 1-r can therefore be calculated.

To know more about Exponential Decay visit:
https://brainly.com/question/2193799

#SPJ4

Since, Z(0)>Z(0.1) that is 3.07>1.28. So reject H(0). So the option 1 and 3 is correct.

In the given question,

H(0): μ=18 ; H(a): μ>18

x = 19.1

Conclude whether to reject or not reject H(0), and interpret the results.

σ = 1.6

α  = 0.1 (significance level) .

The test statistic is

Z(0) = {x-μ(0)}/(σ/√n)

Z(0)= (19.1-18)/16/√20

Z(0) = 3.07

The critical value is Z(0.1) = 1.28.

As we can see that;

Z(0)>Z(0.1) that is

3.07>1.28

So reject H(0).

So the option 1 and 3 is correct.

Reject H(0), the test statistic Z(0)=3.07 is Z(0)=3.07 is greater than the critical value Z(α)=1.28, for a right-tailed test therefore there is NOT enough evidence to reject H(0) that the mean number of likes is not equal to 18 mg per generic anti-histamine dose.

And

The test statistic falls within the rejection region.

To learn more about test statistic link is here

brainly.com/question/29657390

#SPJ4

The right question is:

Select two responses below.

Select all that apply:

(1) Reject H(0). The test statistic Z(0)=3.07 is greater than the critical value Z(α)=1.28, for a right-tailed test therefore there is NOT enough evidence to reject H(0) that the mean number of likes is not equal to 18 mg per generic anti-histamine dose.

(2) Fail to reject H(0). The test statistic Z(0)=3.07 is greater than the critical value Z(α)=1.28, for a right-tailed test therefore there is NOT enough evidence to reject H(0) that the mean number of likes is not equal to 18 mg per generic anti-histamine dose.

(3) The test statistic falls within the rejection region.

(4) The test statistics is NOT in the rejection region.

Everything else is being equal, but we prefer an unbiased estimator mostly compare to a biased estimator because a biased estimator may be used for a variety of reasons, such as the difficulty of computing an unbiased estimator (as in the case of estimating standard deviation).

The fact that a biased estimator may be unbiased with respect to different measures, and the fact that an unbiased estimator does not exist without further assumptions about a population. Thus, it's miles scientifically now no longer accurate to apply a biased estimator for a parameter while there may be an independent estimator for it.

Only in unavoidable situation, it's miles cautioned to apply a biased estimator (which need to be consistent) for a parameter while there may be no independent estimator for it. It could be anticipated that a terrific estimator need to bring about an estimate this is near the real cost of the parameter. Because in exercise the parameters are unknown, it isn't always viable to evaluate the estimate with the real cost. Unbiasedness serves as a degree of closeness among an estimator and the parameter.

To learn more about unbiased estimator, refer: brainly.com/question/15359441

#SPJ4

42 pounds has a weight of clothing to weight to dye different from the other ratios

Ratio is used to compare two or more quantities. It is used to indicate how big or small a quantity is when compared to another

The ratio weight of clothing to the weight of dye will be:

For 21 and 3:

21:3 = 7: 1

For 42 and 9:

42:9 = 14: 3

For 84 and 12:

84:12 = 7: 1

For 105 and 15:

105:15 = 7: 1

Thus, 42 pounds is different from the other ratios

Learn more about ratios on:

brainly.com/question/29596284

#SPJ1

Answer:

Step-by-step explanation:

(7, -14)

y - y1 = m(x - x1)

y - (-14) = -6(x - 7) = y + 14 = -6(x - 7)

Standard Form

y + 14 = -6x + 42

y = -6x + 28

Answer: plants are same height in 30 days;  Plant A is tallest in 6 weeks

Step-by-step explanation:

x =  number of days

4 + (2/3)x = 9 + (1/2)x

(2/3)x - (1/2)x = 9 - 4

(1/6)x = 5

x = 30, number of days for Plant A and Plant B to be same height.

6 wks = 42 days

Plant A in 42 days:  4 + (2/3)(42) = 32 inches

Plant B in 42 days:  9 + (1/2)(42) = 30 inches

By using Euclidean geometry, the set of side lengths  2.5 cm, 1.8 cm, 4 cm can form a triangle.

The sum of the lengths of any two sides must be greater than the length of the third side.

a + b ≥ c

A triangle is a three-sided polygon with three straight sides. It is a basic geometric shape that is found in many areas of mathematics and geometry.

Using this rule, we can determine which of the given sets of side lengths can form a triangle:

(a) 3 cm, 4 cm, 7 cm: It is not possible to form a triangle with these side lengths, because the sum of the lengths of the first two sides (3 cm + 4 cm = 7 cm) is equal to the length of the third side.

(b) 2 cm, 3 cm, 7 cm: It is not possible to form a triangle with these side lengths, because the sum of the lengths of the first two sides (2 cm + 3 cm = 5 cm) is less than the length of the third side.

(c) 2.5 cm, 1.8 cm, 4 cm: It is possible to form a triangle with these side lengths, because the sum of the lengths of the first two sides (2.5 cm + 1.8 cm = 4.3 cm) is greater than the length of the third side.

To learn more about triangle visit:

https://brainly.com/question/2773823

#SPJ4

The linear equation representing the relationship between the number of paving stones left for Gerald to place, y, and the time, x, Gerald has spent working is 5x + y = 55.

A linear equation is always in the form of y = ax + b, where a is the slope and b is the y-intercept.

The slope, a, is given as (y2 - y1)/(x2 - x1).

(0, 55), (3, 40), and (7, 20)

Taking (3, 40) and (7, 20), the slope is determined as follows:

7 - 3 = 4

20 - 40 = -20

-20/4

= -5

In standard form, the linear equation is 5x + y = 55.

Thus, based on the linear equation above, we can conclude that the more time Gerald spends playing with the paving stones, the fewer stones he has to place.

Learn more about linear equations at https://brainly.com/question/1884491

#SPJ1

The standard matrix of the linear transformation given in the question is

=  1/ 5  [   1  2 ]

           [   2  4 ]

The direction vector of the given line is , v = ( 1 ,2 ).

So the projection of the line will be,

projection ( x ,x ) = ( (x , y ) . v / v^2 )v

= ( ( x + 2y)/5 ) v

Therefore, the required standard matrix will be ,

 1/5    2/5

 2/5   4/5

= 1/ 5 [   1  2 ]

         [   2  4 ]

A matrix is also known as a rectangular array . The elements are arranged in the form of rows and tables forming a table . Arrays are an important part of both mathematical and computational applications.

The data in a conputer is stored in the form of an array . We can perform various operations on matrix like addition, subtraction , multiplication or division.

To learn more about matrix

brainly.com/question/29132693

#SPJ4

The inequality we want to write is:

100 + W*50 ≥ 1800

And its graph can be seen in the image at the end.

We know that you start the game with 100 points and you get 50 extra for each word you make.

So, if you make W words, the total number of points that you get is:

100 + W*50

And that must be equal to or larger than 1,800, so we can writ the inequality:

100 + W*50 ≥ 1800

To solve it, we can isolate W.

100 + W*50 ≥ 1800

W*50 ≥ 1800 - 100

W ≥ 1700/50

W ≥ 34

So the number line is a point on W = 34 and a line that extends to the right, like the one below.

Learn more about inequalities at:

https://brainly.com/question/24372553

#SPJ1

The value of the standard deviation does not change and remains the same.

Given, a retired statistic professor has recorded final exam results for decades. the mean final exam score for the population of a student is 82.4 with a standard deviation of 6.5.

The mean μ = 82.4

The standard deviation σ = √[ ((x - μ)2 + (y - μ)2 + (z - μ)2)/3 ]

we have to find the variance,

We now add a constant k to each data value and calculate the new mean μ'.

μ' = ((x + k) + (y + k) + (z + k)) / 3 = (x + y + z) / 3 + 3k/3 = μ + k

We now calculate the new mean standard deviation σ'.

σ' = √[ ((x + k - μ')2 +(y + k - μ')2+(z + k - μ')2)/3 ]

Note that x + k - μ' = x + k - μ - k = x - μ

also y + k - μ' = y + k - μ - k = y - μ and z + k - μ' = z + k - μ - k = z - μ

Therefore σ' = √[ ((x - μ)2 +(y - μ)2+(z - μ)2)/3 ] = σ

If we add the same constant k to all data values included in a data set, we obtain a new data set whose mean is the mean of the original data set PLUS k. The standard deviation does not change.

Hence, the standard deviation does not change.

Learn more about Standard Deviation and Mean here https://brainly.com/question/26941429

#SPJ4

The scenario that describes a pattern of exponential decay is option (D) i.e, an elimination chess tournament has half the number of players on each successful round.

What is Exponential Decay ?

     Where, N is the quantity

                  λ (lambda) is a positive rate called the exponential decay  constant, disintegration constant, rate constant, or transformation constant.

Hence, the answer is option(D) i.e, an elimination chess tournament has half the number of players on each successful round.

To read more about Exponential Decay.

https://brainly.com/question/27822382

#SPJ1

The ratio of outputs for any two inputs that are one value apart 2 .

A ratio is an ordered pair of numbers a and b, written a / b. where b is not zero. A ratio is an equation that equates two ratios. For example, if you have one boy and her three girls, the ratio can be written as: 1:3 (3 girls for 1 boy). A ratio is the  comparison of the  two numbers by division.

Taking the first two outputs, or the  -1/8 and -1/4, we can divide not the second one by the first one to find the

ratio:

-1/4-1/8

When dividing fractions, we multiply by the reciprocal:

-1/4x-8/1

To multiply fractions, multiply straight across:

(-1x-8)/(4x1) 8/4=2

To know more about ratio click-

https://brainly.com/question/25927869

#SPJ1

According to the manufacturer's claim, we build an hypothesis test, find the test statistic and the p-value relative to this test statistic.

The value of the test statistic is z = 1.65.

The p-value of the test is of 0.0495 > 0.02, which means that there is not sufficient evidence to say that his batting average has improved at the 0.02 level of significance.

Average of 0.48 in 25 at bats,

Test if there was improvement:

At the null hypothesis :

[tex]H_0 : P_1 - P_2 = 0[/tex]

At the alternative hypothesis:

[tex]H_1 : P_1 - P_2 > 0[/tex]

The p-value of the test is the probability of finding a difference of at least 0.19, which is 1 subtracted by the p-value of z = 1.65.

Looking at the z-table, z = 1.65 has a p-value of 0.9505.

1 - 0.9505 = 0.0495.

Learn more about the hypothesis here:

https://brainly.com/question/29576929

#SPJ4

If the angle between two vectors is represented by theta and it is equal to zero or 180 degrees then the following angles would mean the vectors are parallel .

Given :

if the angle between two vectors is represented by , tell if the following angles would mean the vectors are orthogonal, parallel or neither.

if two vectors points are given then find the dot product of vectors if the result is equal to zero then the two vectors are orthogonal vectors .

If they were parallel the angle would be 0 or 180 degrees, therefore, the two vectors are not parallel.

Learn more about the parallel here:

https://brainly.com/question/16701300

#SPJ4

The value of k will be 7 by using conditions slope of the graph.

What is slope?

Slope of a line measures its steepness . Slope is calculated as "rise over run" (change in x divided by change in y).

Two ways to find the slope :

1. Pick two points on the line and determine their coordinates. Determine the difference in y-coordinates of these two points (rise). Determine the difference in x-coordinates for these two points (run). Divide the difference in y-coordinates by the difference in x-coordinates

(rise/run or slope).

2. Differentiate the line's equation and value of dy/dx that will be value of slope .

Mathematically ,

to find slope we differentiate the graph equation :

2dy/dx = 1/7k

dy/dx = 1/14k

Given slope = 1/2

so, 1/14k = 1/2

k = 7.

Learn more about slope using link :

https://brainly.com/question/16949303

#SPJ1

The value of line integral is 1/2 .

The interior of the square is the region D = { (x,y) : 0 ≤ x,y ≤1 }. We call L(x,y) = 7y²x, M(x,y) = 8x²y. Since C is positively oriented, Green Theorem states that

[tex]\int\limits^1_0 {L(x,y)} \, dx + M(x,y)dy =\int\limits^1_0 \int\limits^0_1 {(Mx- Ly)} \, dx\, dy[/tex]

Lets calculate the partial derivates of M and L, Mx and Ly. They can be computed by taking the derivate of the respective value, treating the other variable as a constant.

Mx(x,y) = d/dx 8x²y = 16xy

Ly(x,y) = d/dy 7y²x = 14xy

Thus, Mx(x,y) - Ly(x,y) = 2xy, and therefore, the line integral is equal to the double integral

[tex]\int\limits^1_0 \int\limits^0_1 {2xy} \, dx\, dy[/tex]

We can compute the double integral by applying the Barrow's Rule, a primitive of 2xy under the variable x is x²y, thus the double integral can be computed as follows

[tex]\int\limits^1_0 \int\limits^0_1 {2xy} \, dx\, dy = \int\limits^1_0 {x^{2}y \left \{ {{1} \atop {0}} \right. } \, dy =\frac{y^{2} }{2} \left \{ {{1} \atop {0}} \right. } = \frac{1}{2}[/tex]

We conclude that the line integral is 1/2

Learn more about Line Integral at :

https://brainly.com/question/25706129

#SPJ1

45 people used credit card on that particular day , this could be found out using simplified multiplication.

What is proportion?

A quantitative relation is an ordered try of numbers a and b, written a / b wherever b doesn't equal zero.

A proportion is Associate in Nursing equation within which 2 ratios ar set up to one another.

Main body:

We have been given that during one particular sales day, 75% of the store's customers paid with credit cards. There were 60 customers that day.

To find the number of people, who used credit card, we will find 75% of 60.

The number of people who used credit card = (75 / 100 )* 60

The number of people who used credit card = 0.75 *60

The number of people who used credit card = 45

Therefore, 45 people used credit card on that particular day.

To know more about proportion , visit:

https://brainly.com/question/1496357

#SPJ1

Answer:

1 milk and 2 oats

Step-by-step explanation:

milk to oats show that milk is first followed by oats and since 1 is first it is 1 milk and 2 oats

Answer:

43 Is half

Step-by-step explanation:

86/2=43

I need you to promise me you will do good on the homework

[tex]Answer:\ cos(\theta_1)=\boxed{-\frac{40}{41} }[/tex]

Step-by-step explanation:

[tex]\displaystyle\\sin(\theta_1)=\frac{9}{41}\ \ \ \ \ \ 90^0 < \theta_1 < 180^0\ \ \ \ \ \ \ cos(\theta_1)=?\\\\sin^2(\theta_1)+cos^2(\theta_1)=1\\\\cos^2(\theta_1)=1-sin^2(\theta_1)\\\\cos^2(\theta_1)=1-(\frac{9}{41})^2\\\\cos^2(\theta_1)=1-\frac{81}{1681} \\\\cos^2(\theta_1)=\frac{1(1681)-81}{1681} \\\\cos^2(\theta_1)=\frac{1600}{1681} \\\\[/tex]

Extract the square root of both parts of the equation:

[tex]\displaystyle\\\cos(\theta_1)=б\sqrt{\frac{1600}{1681} } \\\\\cos(\theta_1)=б\sqrt{\frac{40^2}{41^2} } \\\\\cos(\theta_1)=б\sqrt{(\frac{40}{41})^2 } \\\\\cos(\theta_1)=б\frac{40}{41}[/tex]

[tex]\displaystyle\\Since\ 90^0 < \theta_1 < 180^0, \\\\ therefore\ cos(\theta_1)=-\frac{40}{41}[/tex]

The maximum profit is maximized 70 of product A and 20 of product B are produced.

The objective function:

The profit is 50 for each product A and 60 for each product B:

P = 50A + 60B

The machine 1 constraint:

2 minutes for each product A and 3 minutes for each product B; 200 total minutes available:

2A+3B ≤  200

The machine 2 constraint:

4 minutes for each product A and 1 minute for each product B; 300 total minutes available:

4A+B ≤  300

The production constraints:

At least 8 of product A and at least 10 of product B:

A ≥  8

B ≥  10

2A+3B=200

4A+B=300

4A+6B=400

5B=100

Divide

B = 100 / 5

B=20

Also, A=70

The units are 70 and 20 respectively.

Learn more about profit on;

https://brainly.com/question/1078746

#SPJ1

The solution to the inequality expression 3/4m > −12 is m > -16

From the question, we have the following parameters that can be used in our computation:

34m>−12

Rewrite properly

So, we have the following expression

3/4m > −12

Multiply both sides of the expression by 4

So, we have the following representation

3m > -48

Divide both sides of the expression by 3

m > -16

Hence, the solution is m > -16

Read more about inequality at

https://brainly.com/question/25275758

#SPJ1

Answer: 10.4166

Step-by-step explanation:

6 2/3= (18+2)/3= 20/3

3 3/4= (12+3)/4=15/4

6 2/3 + 3 3/4=(20/3)+(15/4)

                      =125/12

                      =10.4166

Answer:

[tex]10\frac{5}{12}[/tex]

Step-by-step explanation:

[tex]\sf6\frac{2}{3} +3\frac{3}{4}[/tex]

First, write the above fractions as improper fractions.

[tex]\sf\frac{20}{3} +\frac{15}{4}[/tex]

To solve the fractions you have to make the denominators of the fractions the same.

For that, we have to multiply both the numerator and denominator of the fractions (20/3) by 4 and (15/4) by 3.

Let us solve it now.

[tex]\sf\frac{20}{3} +\frac{15}{4}\\\\\sf\frac{20*4}{3*4} +\frac{15*3}{4*3}\\\\\frac{80}{12}+\frac{45}{12}\\\\\frac{125}{12}[/tex]

And now let us write the answer as a mixed number.

[tex]10\frac{5}{12}[/tex]

a) 1 m = 100 cm.

0.05 m = 0.05×100

= 5 cm

b) 1000 gm = 1kg

50 = 50/1000

= 0.05 kg

c) 1000000 mm = 1 km

25 = 25/1000000

= 0.0000025 km

Hope understands.

Answer: $144

Step-by-step explanation: To find the price she gets paid for 1 hr we need to divide the money by the hours. So, 90 / 5 = 18.

So, now we know she gets paid 18 dollars an hour. So, we need to find out how much she earns in 8 hrs. So, we would simply multiply the 18 by the 8, to get $144.