If a1=1. And r=1/5 find a8

Answer:

Proof in attached image

Step-by-step explanation:

See attached image

Let's use the furthest left point on the triangle to figure out the translation.

Blue triangle = (-5,1)

Black triangle = (-3,-1)

To get from -5 to -3 we moved the triangle 2 units to the right, which means that we added 2.

To get from 1 to -1, we moved the triangle 2 units down, which means we subtracted 2.

Rule: {2, -2}

Hope this helps!

The domain of the function can be expressed as "all real numbers greater than or equal to \(-5\)."

To determine the domain of the function represented by the given graph, we need to identify the set of all possible input values (x-values) that correspond to points on the graph.

From the provided graph, it is evident that the function is defined and continuous for all x-values shown. Therefore, the domain of the function is determined by the range of x-values displayed on the graph.

Looking at the x-axis, we can observe that the graph begins at \(-5\) and extends to the right. However, it is not clear whether the graph extends further beyond what is shown.

Since the graph does not provide any information beyond the displayed x-values, we cannot make any definitive conclusions about the exact domain.

However, we can conclude that the function is defined for all real numbers greater than or equal to the minimum x-value displayed on the graph, which is -5. Thus, the domain of the function can be expressed as "all real numbers greater than or equal to \(-5\)."

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Answer:

\(\frac{11}{6}\) units

Step-by-step explanation:

To find the x- intercepts let y = 0 , that is

6x² - 7x - 3 = 0 ← in standard form

(3x + 1)(2x - 3) = 0 ← in factored form

Equate each factor to zero and solve for x

3x + 1 = 0 ⇒ 3x = - 1 ⇒ x = - \(\frac{1}{3}\)

2x - 3 = 0 ⇒ 2x = 3 ⇒ x = \(\frac{3}{2}\)

Find the difference of the 2 x- intercepts using absolute value

distance = | \(\frac{3}{2}\) - (- \(\frac{1}{3}\) ) | = | \(\frac{3}{2}\) + \(\frac{1}{3}\) | = | \(\frac{11}{6}\) | = \(\frac{11}{6}\)

Answer:

Step-by-step explanation:

Number of reveloutions made in 1 second = 2

Number of revolutions made in 60 seconds ( 1 minute) = 2*60 = 120

Number of revolutions made in (60 minutes)  1 hour  = 120 *60 = 7200

Circumference of circle =   πd    

                                       \(= \dfrac{22}{7}*70\\\\\\= 22*10\\\\= 220 cm\)

The distance traveled in 1 revoultion = the circumference of the cirlcle

                                                             = 220 cm

The distance travelled in 7200 revoultion = 7200 * 220

                                                                      =1584000 cm

                                                                       = 1584000 ÷ 100000

                                                                       = 15.84 km

                                                                        = 15.8 km

Speed = 15.8 km/h

Step-by-step explanation:

1/4 / 2/3

= 1/4÷2/3

= 1/4 ×3/2 ( reciprocal 2/3)

=3/8

this is the answer

The maximum value of the function is approximately 1.724 and the minimum value is approximately -1.724.

To find the maximum and minimum values of the function y = sin x + sin 2x, we can first take its derivative with respect to x:

y' = cos x + 2 cos 2x

Then, we can set y' equal to zero and solve for x:

cos x + 2 cos 2x = 0

We can use a graphing calculator to find the solutions to this equation, which are approximately x = 0.285 and x = 2.857. We can then evaluate the original function at these values to find the maximum and minimum values:

y(0.285) ≈ 1.724

y(2.857) ≈ -1.724

Therefore, the maximum value of the function is approximately 1.724 and the minimum value is approximately -1.724.

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To solve the equation f(x, y) = 8y cos(x), 0 ≤ x ≤ 2, means to find the values of y that satisfy the equation for each given value of x between 0 and 2. To do this.

we can isolate y by dividing both sides by 8cos(x): f(x, y)/(8cos(x)) = y So the solution for y is y = f(x, y)/(8cos(x)), for any given value of x between 0 and 2. you'll want to evaluate the function within this range of x values. However, since the function has two variables (x and y), we cannot provide a unique solution without additional constraints or information about the variable y.

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Answer:

Real numbers consist of zero (0), the positive and negative integers (-3, -1, 2, 4), and all the fractional and decimal values in between (0.4, 3.1415927, 1/2). Real numbers are divided into rational and irrational numbers.

Step-by-step explanation:

If one of the zeros in the quadratic polynomial is 4, then the value of k is 3.

A polynomial is a mathematical expression made up of coefficients and indeterminates that uses only the operations addition, subtraction, multiplication, and powers of positive integers of the variables. x2 4x + 7 is an illustration of a polynomial with a single indeterminate x. A polynomial is a mathematical expression that only uses the operations addition, subtraction, multiplication, and non-negative integer exponentiation of variables. Variables are also known as indeterminates in mathematics.

Here,

4 is a root/zero of polynomial

P(x)  =   (k-2) x²  - 2 x  - (k+5)

P(4) = 0

(k - 2) 4²  - 2 * 4 - (k+5)  = 0

15 k - 45 = 0  

k = 3

The value of k if 4 is one of the zeros of the quadratic polynomial is 3.

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Complete question:

If one of the zeros of a quadratic polynomial(k-2)x^2-2x-(k+5) is 4 , find value of k.

Answer:

The correct answer would be C

Step-by-step explanation:

Edge 2020 :)

Answer

no itz c your welcome

Step-by-step explanation:

did it in class

Step-by-step:

\(3\frac{1}{2}+2\frac{3}{5} = \frac{7}{2} + \frac{13}{5} = \frac{35}{10}+\frac{26}{10} = \frac{61}{10}.\)

Explaination:

Use  \(a\frac{x}{y} = \frac{a.y+x}{y}\) to convert a mixed number to a fraction.

Use \(\frac{a}{b} +\frac{x}{y} = \frac{a.y}{b.y}+\frac{b.x}{b.y} = \frac{a.y+b.x}{b.y}\) to calculate the sum of two fractions with different denominators.

Hope this help!

Answer:

(b)

Total frequencies:

Multiples of 3 or 5:

Required probability:

(c)

(i) Good limes = GL = 10

(ii) Good fruits = GF = 10 + 8 = 18

(iii) Good apple = GA = 8, Bad lime = BL = 6

26 city blocks

Hence, the actual distnce between the city Hall and library is 26 city blocks apart

the ratio 1 is to 2 is equivalent to 3: 6

What is an equivalent ratios?

A ratio compares two quantities named as antecedent and consequent, by the means of division. For example, when we cook food, then each ingredient has to be added in a ratio. Thus, we can say, a ratio is used to express one quantity as a fraction of another quantity.

Two ratios are equivalent to each other if one of them can be expressed as the multiple of the other. Hence, to get the equivalent ratio of another ratio, we have to multiply the two quantities (antecedent and consequent) by the same number.

Given ratios are 2:1 and 3:1

we can write it as 2/1 and 3/1.

The lcm of 2 and 3 is 6.

Multiply denominator of both ratio with 6, we get

2/6 and 3/6 And we can see both the ratios are not equal.

Hence, there are not equivalent ratios.

4:1 and 8:3 are equivalent ratios -----> is false, because 4:1 is equivalent to 8:2

11:2 and 2:11 are equivalent ratios------> is false (because, are reciprocal ratios, not equivalent ratios)

3:1 and 9:3 are equivalent ratios ------> is true

because 3:1 multiply both sides by 3 -----> 3*3:1*3=9:3

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Answer:

b=59

Step-by-step explanation:

The Theorem for Alternate Exterior angles is: If two parallel lines are cut by a transversal then the alternate exterior angles are congruent.

By this theorem we now know that b=59 degrees.

under the restrictions that c is negative to ensure strict concavity, the utility function u(w) = -(b - w)c displays increasing absolute risk aversion.

To ensure that u(w) is strictly increasing, we need the derivative of u(w) with respect to w to be positive for all values of w. Taking the derivative, we have du(w)/dw = -c. For u(w) to be strictly increasing, -c must be positive, which implies c must be negative.

To ensure that u(w) is strictly concave, we need the second derivative of u(w) with respect to w to be negative for all values of w. Taking the second derivative, we have d²u(w)/dw² = 0. Since the second derivative is constant and negative, u(w) is strictly concave.

Now, let's examine the concept of increasing absolute risk aversion. If a utility function u(w) exhibits increasing absolute risk aversion, it means that as wealth (w) increases, the individual becomes more risk-averse.

In the given utility function u(w) = -(b - w)c, when c is negative (as required for strict concavity), the absolute risk aversion increases as wealth (w) increases. This is because the negative sign implies that the utility function is concave, indicating that the individual becomes more risk-averse as wealth increases.

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Answer:

8 inches

Step-by-step explanation:

The volume of a hemisphere is half the volume of a sphere.

Therefore, the sum of the volumes of the two hemisphere-shaped scoops of ice cream (with diameters of 4 inches), is equal to the volume of a sphere with diameter of 4 inches.

If the melted ice cream fills the cone exactly to the top without overflowing, the volume of the cone with diameter of 4 inches must be equal to the volume of a sphere with diameter of 4 inches.

As the diameter of a circle is twice its radius, then the radius of the sphere and cone is r = 2 inches.

The formulas for the volume of a cone and the volume of a sphere are:

\(\boxed{\begin{minipage}{4 cm}\underline{Volume of a cone}\\\\$V=\dfrac{1}{3} \pi r^2 h$\\\\where:\\ \phantom{ww}$\bullet$ $r$ is the radius. \\ \phantom{ww}$\bullet$ $h$ is the height.\\\end{minipage}}\)   \(\boxed{\begin{minipage}{4 cm}\underline{Volume of a sphere}\\\\$V=\dfrac{4}{3} \pi r^3$\\\\where:\\ \phantom{ww}$\bullet$ $r$ is the radius.\\\\\end{minipage}}\)

The depth of the cone is its height.

Therefore, to calculate how deep the cone must be so that the melted ice cream will fill the cone exactly to the top without overflowing, set the two equations equal to each other, substitute r = 2, and solve for h (the depth of the cone).

\(\begin{aligned}\textsf{Volume of a cone}&=\textsf{Volume of a sphere}\\\\\dfrac{1}{3} \pi (2)^2 h & = \dfrac{4}{3} \pi (2)^3\\\\\dfrac{1}{3} \pi \cdot 4 h & = \dfrac{4}{3} \pi \cdot 8\\\\\dfrac{4}{3} \pi h& = \dfrac{32}{3} \pi \\\\\dfrac{4}{3} h& = \dfrac{32}{3} \\\\4 h& = 32 \\\\h&=\dfrac{32}{4}\\\\h&=8\; \sf inches\end{aligned}\)

Therefore, the depth of the cone must be 8 inches.

The cone must be at least 8 inches deep in order for the melted ice cream to fill the cone exactly to the top without overflowing.

1. The opening of the ice cream cone has a diameter of 4 inches. This means that the radius of the cone's opening is 4/2 = 2 inches.

2. The two hemisphere-shaped scoops of ice cream have diameters of 4 inches each. This means that the radius of each scoop is 4/2 = 2 inches.

3. When the ice cream melts, it will take up the space between the scoops and fill the cone. In order for the melted ice cream to fill the cone exactly to the top without overflowing, the depth of the cone must be equal to the combined height of the two ice cream scoops.

4. The height of each hemisphere-shaped scoop can be calculated using the formula for the volume of a sphere, which is (4/3)πr³, where r is the radius.

  - For each scoop, the radius is 2 inches, so the height of each scoop is (4/3)π(2)³ = (4/3)π(8) = (32/3)π.

5. Since there are two scoops, the combined height of the two scoops is 2 * (32/3)π = (64/3)π.

6. Therefore, the cone must be at least (64/3)π inches deep in order for the melted ice cream to fill the cone exactly to the top without overflowing. This is approximately equal to 67.03 inches.

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Answer:

b

Step-by-step explanation:

Answer:

17,660,000

Step-by-step explanation:

First:

Multiply 14.6 x 10^6 which equals 14,600,000.

Second:

Multiply 3.06 x 10^6 which equals 3,060,000

Third:

Add Both answers together. You will get 17,660,000 as the answer!

The predicted value of respondent's education when the mother's education is 16 is approximately 13.87 years.

a. To construct a scatter diagram, plot the pairs of data points where the mother's schooling (X) is on the x-axis and the respondent's schooling (Y) is on the y-axis. The data points are as follows:

(0, 12), (15, 13), (6, 9), (9, 12), (16, 12), (6, 16), (18, 14)

b. The correlation coefficient (r) of 0.391 indicates a positive relationship between mother's education and respondent's education. However, the correlation coefficient value of 0.391 suggests a moderate strength of the relationship.

c. The regression equation Y = 11.47 + 0.15X indicates that for each unit increase in the mother's education (X), there is an expected increase of 0.15 units in the respondent's education (Y). The intercept term of 11.47 represents the expected respondent's education when the mother's education is zero.

d. To predict the value of respondent's education (Y) when the mother's education (X) is 16, we can substitute X = 16 into the regression equation:

Y = 11.47 + 0.15 * 16

Y ≈ 11.47 + 2.4

Y ≈ 13.87

Therefore, the predicted value of respondent's education when the mother's education is 16 is approximately 13.87 years.

For the second part of your question regarding the regression equation and its interpretation, the information provided seems to be incomplete. The equation is mentioned as "Y = 15 + .SX," but the variable "SX" is not clearly defined. Additionally, the age at marriage is mentioned as "Y," but the units or specific meaning of "Y" are not provided. Please provide more information or clarify the equation for further analysis.

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Answer:

divide numerator by the denominator of the fraction.Mean you can divide it

Step-by-step explanation:

I am not sure my answer correct or not,hope you know it.

Answer:

40 students

Step-by-step explanation:

you have to minus 9 because of the cars then you have 320 divide 8 and you get 40.

Answer:

x= 3

and LP is probably 2

NOTE: I'm not to exactly sure for answer LP but I am sure that X = 3

Answer:

D: product

Step-by-step explanation:

All I remember is that the answer to a division problem is quotient and multiplication is a product. Hope this helps :)

Based on the randomization distribution, a difference in means of -7, -4, and 6 are very unlikely to ever occur just by random chance. A difference in means of 1 and -0.5 are relatively unlikely to occur but might occur occasionally.

The difference in means refers to the numerical difference between the average values of two groups or samples. It is a measure of the distance between the means of two datasets, and is often used to compare the central tendencies of the groups or samples.

To create a randomization distribution for the test for a difference in means using StatKey, we can follow these steps:

"Randomization Tests" from the list of options select.

Select "Test for a Difference in Means" from the list of randomization tests.

"Two Independent Groups"as we are comparing two groups is to be delected.

Click on the "Upload" button and select the "arrival_time.csv" file provided in the dataset.

choose"Test Hypothesis" button to run the test.

Under the "Randomization Distribution" section, select "Create a Randomization Distribution" and choose a large number of samples, such as 5,000.

Select the "Create Distribution" button to generate the randomization distribution.

To determine the likelihood of each possible difference in means occurring just by random chance, we can compare the observed difference in means with the randomization distribution.

The table below summarizes the results possible difference in means:

Difference in Means Likelihood

          -7                             Very unlikely to ever occur just by random                        

                                                chance

           1                      Relatively unlikely to occur but might occur    

                                     occasionally

          -4                       Very unlikely to ever occur just by random chance

         -0.5               Relatively unlikely to occur but might occur                          

                                       occasionally

            6                      Very unlikely to ever occur just by random chance

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Therefore, 16 men can dig the same hole in 6 days.

Answer:

Step-by-step explanation:

Let the number of months be x

Alligator 1 weight = 4 + 2x

Alligator 2 weight = 8 + x

The answer is 4 months

Answer:

43.2

Step-by-step explanation:

40/100 * 108

4/100*108

43.2