Find the average rate of change from 1 to 6
Let f(x)=8x-3

Answer:

Step-by-step explanation:

Let x be the side length of the square window. Then the area of the square window is x^2, and the area of the rectangular window is 16 * 4 = 64.

We can write the equation:

x^2 = 64

To solve for x, we can take the square root of both sides:

x = √64

x = 8

Therefore, the side length of the square window is 8 inches.

Answer:

x≥88

88

88≤x≤100

Step-by-step explanation:

83x3=249

249-73-88=88

x≥88

88

88≤x≤100

Answer:

RM1,600

Step-by-step explanation:

2000 * 0.20= 400

2000-400= 1600

Answer:

\(C = 25.1 \text{ cm}\)

Step-by-step explanation:

We can find the circumference of the circle by plugging the given radius value 8 cm into the formula:

\(C = \pi d\)

Note: This formula can also be written as \(C = 2\pi r\) because \(2r = d\).

↓ plugging in the given radius

\(C = 8\pi \text{ cm}\)

↓ rounding to the nearest tenth

\(\boxed{C = 25.1 \text{ cm}}\)

Answer:

\(2 \frac{2}{3} \)

Answer:

0

Step-by-step explanation:

\(2\sqrt[3]{(1-3x)} =6-4=2\\\sqrt[3]{(1-3x)}=\frac{2}{2} =1\\\sqrt[3]{(1-3x)}^{3} =1^{3} \\(1-3x)=1\\-3x=0\\x=0\)

The value of length BC is 18.9

Cosine Rule states that the square of the length of any side of a given triangle is equal to the sum of the squares of the length of the other sides minus twice the product of the other two sides multiplied by the cosine of angle included between them.

Therefore,

c² = a² + b² - 2abcosC

To find the length BC we use cosine rule.

c² = 13² + 7² - 2(13)(7)cos140

c² = 218 - 182cos140

c² = 218-(-139.42)

c² = 218+139.2

c² = 357.2

c = √357.2

c = 18.9

Therefore, the length of BC is 18.9

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In the triangle, the value of the side BC is 18.9cm to 1 decimal place

The side BC can be found using the cosine formula, Remember that Cosine Rule states that the square of the length of any side of a given triangle is equal to the sum of the squares of the length of the other sides minus twice the product of the other two sides multiplied by the cosine of angle included between them.

The cosine formula states that

c² = a² + b² - 2abcosC

To find the length BC we use cosine rule.

c² = 13² + 7² - 2(13)(7)cos140

c² = 218 - 182cos140

c² = 218-(-139.42)

c² = 218+139.2

c² = 357.2

c = √357.2

c = 18.9

In conclusion, the value of  the length of BC is 18.9cm

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After subtracting the given two distances, It can be obtained that the mall is five and a half kilometers further than the grocery store from the house.

If there are three points \(A, B, C\) and the distance between \(A\) and \(B\) is \(d_1\)  and the distance between \(A\) and \(C\) is \(d_2\). Also, \(d_2 > d_1\). Then the distance between \(B\) and \(C\) can be obtained by subtraction \(d=d_2-d_1\).

Given that the distance from the house to the grocery store is five and one-quarter kilometers i.e., \(d_1=5.25\) km and the distance from the house to the mall is ten and three-quarter kilometers i.e., \(d_2=10.75\) km.

So, the distance from the grocery store to the mall is \(d=d_2-d_1=10.75-5.25=5.5\) km.

Therefore, after subtracting the given two distances, we can conclude that the mall is five and a half kilometers further than the grocery store from the house.

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The system of equations represented by the graph is:

y = x - 6

y + x = -2

And the solution is (2, -4), then the correct option is the first one.

On the graph, we can see a system of linear equations, we can see a line with a positive slope and a line with a negative slope.

The line with a positive slope intercepts the y-axis at y = -6, then that line is:

y = a*x - 6

with a > 0.

The other line passes through the y-axis at y = -2, then the linear equation is:

y = b*x - 2

Where b < 0.

Also, remember that the solution for the system of equations is the point where the two lines intersect, so we can see that the solution is at (2, -4)

The only option that meets all the criteria is the first option:

y = x - 6

x + y = -2

And the solution is (2, -4)

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Answer:

Step 2

Step-by-step explanation:

The addition property of equality was applied in step 2. The '- 9' value had to be 'undone', so '9' was added to each side of the equation, which would be an application of the addition property of equality, to yield step 3.

Hope this helps.

The correct option is A. Step 2.

Given the image in question as we saw in step 2, 9 has been added to both sides of the equation,right hand side and left hand side.

Hence in step 2 the addition property of equality applied.

So, the correct option is A. step 2.

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Answer: 112 π

Step-by-step explanation:

Volume of a cylinder = π x r^2 x h

V = π x 16 x 7

V = 112π

Answer:

10c + 16

Step-by-step explanation:

You multiply 5c by 2 and get 10c, then mutiply

8 by 2 and get 16. Next, add those together and you get

10c + 16

\(\huge\bf{ANSWER:}\)

\(\huge\mathrm{10c+16}\checkmark\)

\(\bf{SOLUTION:}\)

Hi there, I hope you are having an awesome day! :)

Let's clarify what the Distributive Property is.

Remember, it states that

\(\rm{a(b+c)=ab+ac\)

Now, let's use this property to solve our problem:

\(\rm{2(5c+8)\)

Multiply everything by 2:

\(\rm{10c+16\) (Answer)

Hope you find it helpful.

Feel free to ask if you have any doubts.

\(\bf{-MistySparkles^**^*\)

Answer:

b because it takes 1 hour to complete 3/4 of a page so 3/3 = 1 hour 1 1/3 =1 and a third of an hour

Step-by-step explanation:

Answer:

Th computed value of the test statistic is 3.597

Step-by-step explanation:

The null and the alternative hypothesis is as follows:

Null Hypothesis:

\(\mathbf{H_o:}\) the population correlation coefficient is equal to zero

\(\mathbf{H_a:}\) the population correlation coefficient is not equal to zero

The test statistics for Pearson correlation coefficient is thus computed as :

\(t =\dfrac{r \sqrt{(n-2)}} { \sqrt{(1-(r)^2)} }\)

where;

r = correlation coefficient = 0.60

n = sample size = 25

So;

\(t =\dfrac{0.60 \sqrt{(25-2)}} { \sqrt{(1-(0.60)^2)} }\)

\(t =\dfrac{0.60 \sqrt{(23)}} { \sqrt{(1-0.36} }\)

\(t =\dfrac{0.60 *4.796} {0.8}\)

t = 3.597

Comparing to a critical value of t (23 degrees of freedom two-tailed value) = 2.069

Decision Rule:

Since computed value of t is greater than the critical value of t; We reject the null hypothesis and accept the alternative hypothesis.

Conclusion:

We conclude that the population correlation coefficient significantly differs from 0 at 5% (0.05) level of significance.

Answer: 0.149

Step-by-step explanation:

As Scientists wondered how the snails could travel such long distances. A recent study provides the answer. Biologist Shinichiro Wada fed 174 live snails to birds and found that 26 of the snails were excreted live out the other end.

The best estimate for the proportion of all snails of this type to live after being eaten by a bird can be achieved by calculating the ratio of survival/number of eaten snails

Where the number of eaten snails = 174

The number of survivors = 26

Estimated proportion = 26/174 = 0.1494

Therefore, the best estimate for the proportion of all snails of this type to live after being eaten by a bird will be 0.149 approximately.

Let x and y to represent the number of milliliters of 3% solution and the number of milliliters of the 5.5% solution respectively. Given that the volume of the mixture is 900 ml, we have

x + y = 900

The mixture should contain 4.5% hydroelectric acid. Recall, percentage is expressed in terms of 100. The concentration of the mixture is

4.5/100 * 900 = 40.5

x should contain 3% of hydroelectric acid. The concentration of x is

3/100 * x = 0.03x

y should contain 5.5% of hydroelectric acid. The concentration of y is

5.5/100 * y = 0.055y

The equation representing the concentration would be

0.03x + 0.055y = 40.5

Thus, the required system of equations is

x + y = 900

0.03x + 0.055y = 40.5

From the first equation,

x = 900 - y

Substituting x = 900 - y into the second equation, we have

0.03(900 - y) + 0.055y = 40.5

27 - 0.03y + 0.055y = 40.5

- 0.03y + 0.055y = 40.5 - 27

0.025y = 13.5

y = 13.5/0.025

y = 540

x = 900 - y = 900 - 540

x = 360

360 ml of 3% solution and 540 ml of 5.5% solution should be used.

Answer:

Is 03.841

Step-by-step explanation:

To find the critical value needed to test the claim that the sentence is independent of the plea, we need to perform a chi-square test of independence. The critical value is based on the significance level (α) and the degrees of freedom.

In this case, the given significance level is 0.05. Since the table represents a 2x2 contingency table (two categories for plea and two categories for sentence), the degrees of freedom (df) can be calculated as (number of rows - 1) * (number of columns - 1) = (2 - 1) * (2 - 1) = 1.

To find the critical value at a significance level of 0.05 with 1 degree of freedom, we consult a chi-square distribution table or use statistical software.

The critical value for a chi-square test with 1 degree of freedom and a significance level of 0.05 is approximately 3.841.

Therefore, the correct answer is 03.841.

Answer:

The answer is 156cm^2

Step-by-step explanation:

Solution:

The shape given is a trapezium.

The area of the green region = Area of the outer trapezium - Area of the inner trapezium.

\(Area\: of\:a\:trapezium\:=\frac{1}{2}\:(a+b)h\)

\(Where\: a,b\:are\:the\:bases,\:h=height\)

\(For,\:outer\:trapezium,\)

\(a=10cm,\:b=14cm,h=16cm\)

\(Area\:of\:the\:outer\:trapezium=\frac{1}{2}\:(10+14)16\)

\(=\frac{1}{2}(24)(16)=192cm^{2}\)

\(For\:inner\:trapezium,\)

\(a=3cm,b=6cm,h=8cm\)

\(Area\:of\:the\:inner\:trapezium=\frac{1}{2}(3+6)8\)

\(=\frac{1}{2}(9)(8)=36cm^{2}\)

\(193cm^{2}-36cm^{2}\)

\(=156cm^{2}\)

The answer is 156cm^2



Answer:

hello! :)

-167

Answer: 167

Step-by-step explanation:

First get X by itself.

substract 27 to each side

194=27-x

194= 27 -27 -x

194 - 27 = X

X= 167

Answer:

Angle A:60

Angle B:120

AngleD:60

Angle E:60

Angle F:120

Angle G:120

Angle H:60

Step-by-step explanation:

There are supplementary angles that add up to get 180 so 120+ __=180

60 is the missing Angle of A and D and since the lines are parallel and we also have vertical angles. The angles are going to be either 120 or 60

Answer:

Area of Trapezoid = (b1 + b2)h

                                         2

Area = (9 in + 17 in) (3 in = 1/4 ft)

                      2

A = (26 in)(3 in)/2

A = 78 in2/2

A = 39 in2

Perimeter = bi + b2 + 2l

             P = 9in + 17 in + 2(5 in)

             P = 26 in + 10 in

             P = 36 inches

Answer:

x=18 y=25

Step-by-step explanation:

1)2x18=36-12=24

2)3x25=75-15-60

Step-by-step explanation:

Put '5' into the equation where 'n' is

a5 = 26 - 6(5) = - 4

According to census the total number of male and female was 88,51,84,692, if number of male was 45,40,34,570 the number of female population is 43,11,50,122.

To find the wide variety of girl population, we will subtract the quantity of male population from the full population.

Total population = 88,51,84,692

Number of male = 45,40,34,570

Number of female = Total population - Number of male

= 88,51,84,692 - 45,40,34,570

= 43,11,50,122

Therefore, the number of female population is 43,11,50,122.

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Answer:

56

Step-by-step explanation:

The sample size is given by :

\(n = (z_{_{\frac{\alpha}{2} }} \frac{\sigma }{E})^2\\\)

We have c = 0.95

⇒ 1 - α = 0.95

⇒ α = 1 - 0.95

⇒ α = 0.05

⇒

\(\frac{\alpha}{2} = \frac{0.05}{2} \\\\\frac{\alpha}{2} = 0.025 \\\)

By lookat at the table values,

\(z_{_{\frac{\alpha}{2} }} = 1.96\)

So the sample size n is

\(n = (z_{_{\frac{\alpha}{2} }} \frac{\sigma }{E})^2\\\\=(1.96 * \frac{7.6}{2})^2 \\\\= (\frac{14.896}{2} )^2\\\\=(7.448)^2\\\\= 55.47\)

n ≈ 56

The direction and angle of rotation include the following: C. 180° counterclockwise rotation.

In Mathematics and Geometry, the rotation of a point 180° about the origin in a clockwise or counterclockwise direction would produce a point that has these coordinates (-x, -y).

Furthermore, the mapping rule for the rotation of a geometric figure about the origin is given by this mathematical expression:

(x, y)                                            →            (-x, -y)

Coordinates of point A (-6, 5)  →  Coordinates of point A' = (6, -5)

In conclusion, this transformation rule (x, y) → (-x, -y) is used for the 180° rotation of a geometric figure about the origin in a clockwise or counterclockwise (anticlockwise) direction.

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Answer:

it is 3 ... 75 percent sure

Answer:

Solution given:

net surface area=9×(3+5+3+5)+2(3×5)=174in² is your answer.

TSA

Answer:

1) claire's stone at 1.25 seconds

2) 0.5 seconds and its max height was 9

3) lin at 8ft

Step-by-step explanation:

the intercepts tell you the first and third question and then the max height is the highest point on the graph

not sure what measurements you were supposed to use so I used seconds and feet and if that's not it then it's the same numbers just different words