Describe how the graph of the parent function y = StartRoot x EndRoot is transformed when graphing y = negative 3 StartRoot x minus 6 EndRoot
The graph is translated 6 units
.

Answer:

∠A is acute. ∠A is acute.

Step-by-step explanation:

Given that

m∠A is lower than 90°

So, it is an acute angle

And, M∠A=75°

The acute angle is the angle that measures between 0 degrees and 90 degrees on the other case the obtuse angle should be more than 90 degrees till 180 degrees

So as per the law of detachment the first option is correct and the same is to be considered

Note that the depreciation for this vehicle using method 2 will be $340.

To calculate the depreciation using method 2, we need to multiply the cost of the car by the depreciation rate per mile, which is given in cents per mile.

First, we need to calculate the total depreciation for the car in cents by multiplying the miles driven by the depreciation rate per mile:

Total depreciation = Miles driven x Depreciation rate per mile

Total depreciation = 10,000 x 3.4 cents per mile

Total depreciation = 34,000 cents

Next, we need to convert the total depreciation from cents to dollars by dividing it by 100:

Total depreciation = 34,000 cents ÷ 100 cents/dollar

Total depreciation = $340

Therefore, the depreciation for this vehicle using method 2 will be $340.

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Answer: Justin earns a base salary of $1500 per month at

the jewelry shop. He also earns a 3% commission

on all sales. If Just sold $82,975 worth of jewelry

last month, how much would he make for the

month including his base salary and commission?

Step-by-step explanation: $1500 + 3% + $82,975 = 84475. 03 or 84475

The first four terms of the given recursively defined sequence are -2, 3, -1 and 5. The given recursively defined sequence is t \(k  = t k-1  + 2t k-2\), for every integer k ≥ 2.

The first two terms of the sequence are given:

\(t₀ = -2 and t₁ = 3.\)

We are supposed to find the first four terms of the sequence.

Using the above relation, we can find the next terms of the sequence:

\(t₂ = t₁ + 2t₀ = 3 + 2(-2) = -1t₃ = t₂ + 2t₁ = -1 + 2(3) = 5t₄ = t₃ + 2t₂ = 5 + 2(-1) = 3\)

Thus, the first four terms of the given recursively defined sequence are -2, 3, -1 and 5.

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Therefore, the first four terms of the given sequence are -2, 3, -1, and 5. The given sequence is recursively defined as tk = tk-1 + 2tk - 2, where k is an integer greater than or equal to 2. The initial terms of the sequence are t₀ = -2 and t₁ = 3.

To find the first four terms of the sequence, we can use the recursive definition. Let's proceed step by step:

Step 1: We know the values of t₀ and t₁, which are -2 and 3 respectively.

Step 2: Using the recursive definition, we can find t₂ by substituting the values of t₁ and t₀ into the equation:
t₂ = t₁ + 2t₀
   = 3 + 2(-2)
   = 3 - 4
   = -1

Step 3: Now, to find t₃, we substitute the values of t₂ and t₁ into the equation:
t₃ = t₂ + 2t₁
   = -1 + 2(3)
   = -1 + 6
   = 5

Step 4: Finally, we find t₄ by substituting the values of t₃ and t₂ into the equation:
t₄ = t₃ + 2t₂
   = 5 + 2(-1)
   = 5 - 2
   = 3.

In summary, the first four terms of the sequence are -2, 3, -1, and 5.

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The inequality of the temperatures where yeast will NOT thrive is T < 90°F or T > 95°F

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

Yeast thrives between 90°F to 95°F

For the temperatures where yeast will not thrive, we have the temperatures to be out of the given range

Using the above as a guide, we have the following:

T < 90°F or T > 95°F.

Where

T = Temperature

Hence, the inequality is T < 90°F or T > 95°F.

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Answer:

k = 29

29 + 6 = 35

-3 + 5 = 2

35 + 2 = 37

The estimated variance of B is 0.000014 and the estimated variance of a is 26.792.

To estimate the variances of the parameter estimates in the linear regression model, we can use the following formulas:

Var(B) = (1 / [n * EX² - (EX)²]) * (EY² - 2B * EXY₁ + B² * EX²)

Var(a) = (1 / n) * (Ey? - a * EY - B * EXY₁)

Given the following values:

EX = 228

EY = 3121

EXY₁ = 38297

EX² = 3204

Exy = 3347-60

Ex? = 604-80

Ey? = 19837

n = 20

We can substitute these values into the formulas to estimate the variances.

First, let's calculate the estimate for B:

B = (n * EXY₁ - EX * EY) / (n * EX² - (EX)²)

= (20 * 38297 - 228 * 3121) / (20 * 3204 - (228)²)

= 1.331

Next, let's calculate the variance of B:

Var(B) = (1 / [n * EX² - (EX)²]) * (EY² - 2B * EXY₁ + B² * EX²)

= (1 / [20 * 3204 - (228)²]) * (3121² - 2 * 1.331 * 38297 + 1.331² * 3204)

= 0.000014

Now, let's calculate the estimate for a:

a = (EY - B * EX) / n

= (3121 - 1.331 * 228) / 20

= 56.857

Next, let's calculate the variance of a:

Var(a) = (1 / n) * (Ey? - a * EY - B * EXY₁)

= (1 / 20) * (19837 - 56.857 * 3121 - 1.331 * 38297)

= 26.792

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True. The correlation coefficient (r) must also be positive, indicating a strong positive linear relationship between the two variables.

The correlation coefficient (r) measures the strength and direction of the linear relationship between two variables. It ranges from -1 to 1, where a value of -1 indicates a perfectly negative linear relationship, a value of 1 indicates a perfectly positive linear relationship, and a value of 0 indicates no linear relationship.  If the slope (b) of ŷ is positive, it means that as the independent variable increases, the dependent variable also increases.

In addition to the above explanation, it is important to note that while a positive slope (b) of ŷ indicates a positive linear relationship between two variables, it does not necessarily mean that the correlation coefficient (r) will always be positive. For example, if there is a weak positive linear relationship between two variables, the correlation coefficient (r) may still be positive but not as strong as if there was a strong positive linear relationship. Similarly, there may be situations where the correlation coefficient (r) is positive but the slope (b) of ŷ is not positive, such as in a curvilinear relationship where the relationship between the two variables is not linear.

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Answer:

4 batches

Step-by-step explanation:

1/3=2/6, 2/3=4/6

Answer:

24

128 divided by 16 is 8

8 x 3 = 24

Step-by-step explanation:

Answer:

11

Step-by-step explanation:

You plug in the 7 onto x

3(7) + 2 |(7) - 8| - 12

= 21 + 2 |-1| - 12

= 21 + 2(1) - 12

= 23 - 12

= 11

Answer:

11

Step-by-step explanation:

This is correct. I got it correct on a Algebra quiz.

Answer:

15,6....................

Answer:

£15.6

Step-by-step explanation:

78/5=15.6

The first line is perpendicular, the second line is not perpendicular and not parallel , the third line is parallel to the above line and the forth line not parallel or perpendicular to the line.

The slope of the line  is been given as −3x+5y=−15

Then \(y= \frac{3}{5x} -3\), hence the slope is \(\frac{3}{5}\)

the slope is \(y= \frac{5}{-3x} +5\\\\\frac{5}{-3}\)

this means that the line is perpendicular to the given line

\(y= \frac{3}{-5x} +15\\\\\frac{3}{-5}\)

This means that the line is not perpendicular and not parallel

\(y= \frac{3}{5x} +15\\\\\frac{3}{5}\)

This means that the line is parallel to the above line.

\(y= \frac{-3}{5x} +3\\\\\frac{-3}{5}\)

This means that the line is not parallel or perpendicular to the line

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Answer:

394.2 ft

Step-by-step explanation:

7.8(9)=70.2

This is the measurement for the two triangular sides

9(12)(3)=324 This is the measurement for the three triangular sides

70.2 +324 = 394.2 APPROX

Complete Question:

In a jar there are 19 red jelly beans and 10 green jelly beans. In how many ways can you pick 4 red jelly beans and the same number of green jelly​ beans?

Answer:

\(Both = 813960\)

Step-by-step explanation:

Given

Red Jelly Beans = 19

Green = 10

Required

Select 4 out of 19 red jelly beans and 4 out of 10 green jelly beans

The keyword in the question is pick and this implies combination;

4 from 19 red jelly beans is calculated as follows

\(^nC_r = \frac{n!}{(n-r)!r!}\)

Where n = 19 and r = 4

\(^{19}C_4 = \frac{19!}{(19-4)!4!}\)

\(^{19}C_4 = \frac{19!}{15!4!}\)

\(^{19}C_4 = \frac{19 * 18 * 17 * 16 * 15!}{15! * 4 * 3 * 2 * 1}\)

\(^{19}C_4 = \frac{19 * 18 * 17 * 16}{4 * 3 * 2 * 1}\)

\(^{19}C_4 = \frac{93024}{24}\)

\(^{19}C_4 = 3876\)

Similarly;

4 from 10 green jelly beans is calculated as follows

\(^{10}C_4 = \frac{10!}{(10-4)!4!}\)

\(^{10}C_4 = \frac{10!}{6!4!}\)

\(^{10}C_4 = \frac{10 * 9 * 8 * 7 * 6!}{6! * 4 * 3 * 2 * 1}\)

\(^{10}C_4 = \frac{10 * 9 * 8 * 7 }{4 * 3 * 2 * 1}\)

\(^{10}C_4 = \frac{5040}{24}\)

\(^{10}C_4 = 210\)

Ways of selecting both is calculated as follows

\(Both = 3876 * 210\)

\(Both = 813960\)

a)The sample sizes are n1 = 379 and n2 = 573. The Z-score for a 90% confidence level is approximately 1.645.
b)The confidence interval contains both positive and negative numbers, it means that the true difference between the population proportions can be either positive or negative.

(a) To find the 90% confidence interval for pi - p2, we can use the formula:

CI = (p1 - p2) ± Z * sqrt((p1 * (1 - p1) / n1) + (p2 * (1 - p2) / n2))

where p1 is the proportion of couples with three preferences in common, p2 is the proportion of couples with two preferences in common, n1 is the sample size for couples with three preferences in common, n2 is the sample size for couples with two preferences in common, and Z is the Z-score corresponding to a 90% confidence level.

From the information provided, p1 = 134/379 = 0.353 and p2 = 215/573 = 0.375. The sample sizes are n1 = 379 and n2 = 573. The Z-score for a 90% confidence level is approximately 1.645.

Plugging these values into the formula, we get:

CI = (0.353 - 0.375) ± 1.645 * sqrt((0.353 * (1 - 0.353) / 379) + (0.375 * (1 - 0.375) / 573))

Calculating this expression, we find that the lower limit of the confidence interval is -0.047 and the upper limit is 0.029.

Therefore, the 90% confidence interval for pi - p2 is approximately -0.047 to 0.029.

(b) In the context of this problem, the confidence interval in part (a) means that we are 90% confident that the true difference between the population proportions of couples with three preferences in common and couples with two preferences in common falls between -0.047 and 0.029.

Since the confidence interval contains both positive and negative numbers, it means that the true difference between the population proportions can be either positive or negative.

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Answer:

(0, 1)

(0, 0)

Step-by-step explanation:

its the answer

Answer:

Discrete.

If it was continuous, probably all the algae would have died.

Discrete

It is the amount of time of an event. Fall is a type of event, which lasts for a period of time.

The turntable turns through a 45.0 degree angle, the radial line also rotates by 45.0 degrees. Therefore, the direction of the ladybug's displacement vector is 45.0 degrees counterclockwise from the positive x-axis.

Part A:
The radius of the turntable is half of the diameter, which is 6.0 in. The ladybug crawls in a straight radial line to the edge, which means its displacement vector is equal to the radius of the turntable. Therefore, the magnitude of the ladybug's displacement vector is 6.0 in.

Part B:
The direction of the ladybug's displacement vector is the same as the direction of the radial line from the center of the turntable to the edge. This direction can be described by the angle between the positive x-axis and the radial line.

Since the turntable turns through a 45.0 degree angle, the radial line also rotates by 45.0 degrees. Therefore, the direction of the ladybug's displacement vector is 45.0 degrees counterclockwise from the positive x-axis.

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The type of transformation that maps  triangle ABC in to triangle A'B'C' is reflection

When triangle A'B'C' is reflected across line x = -2 to form triangle A'' B''C''. vertex B'' of triangle A''B''C'' will have same coordinates as B'

A transformation in a coordinate plane is a function that converts inputs (pre-  image points) to outputs (image points) (outputs). Because the pre-image and the image are congruent for each of those transformations, translations, reflections, and rotations all preserve distance and angle measure.

The transformation known as reflection flips a shape in a mirror line, also known as a line of reflection, such that each point is at the same distance from the mirror line as its reflected point.

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The rate at which the base of the triangle is changing when the altitude is 20 cm and the area is 120 cm^2 is 0 cm/s.

To solve this problem, we need to use the formula for the area of a triangle, which is:

A = (1/2)bh

Where A is the area, b is the base, and h is the altitude.

We know that the area is 120 cm^2 and the altitude is 20 cm. So we can plug in these values and solve for the base:

120 = (1/2)b(20)

240 = 20b

b = 12 cm

Now we need to differentiate both sides of the equation with respect to time (t):

dA/dt = (1/2)(db/dt)h

We are given the value of dh/dt (which represents the rate at which the altitude is changing) is 3 cm/s. We need to find db/dt (which represents the rate at which the base is changing).

Plugging in the values we know, we get:

dA/dt = (1/2)(db/dt)(20)

Solving for db/dt, we get:

db/dt = (2dA/dt)/h

Plugging in the values we know, we get:

db/dt = (2)(0)/20

db/dt = 0 cm/s
Since the area is constant (120 cm²) and the altitude is constant (20 cm), the base of the triangle is not changing. Therefore, the rate at which the base is changing is: 0 cm/s

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Answer:

So first we have 10x = 0. We divide by 10 on both sides, so then we get x = 0. We still have 0 because 0/10 = 0.

So that means that the answer is

Answer:

? = 10

Step-by-step explanation:

2(5x+4)=8 - DISTRIBUTE

= 10x + 8 = 8

10x + 8 = 8

- 8

10x = 0

10x/10 = 0/10

x = 0

The balance of your investment account at any given point in time during the week can be calculated using the exponential growth formula:

N(t) = N0 * (1 + r)^t, where N0 is the initial balance (1,459 dollars), r is the growth rate per day (4.73/day), and t is the number of days since the week began (n).

For example, if it is the fourth day of the week (n = 4), then the balance of your investment account would be N(4) = 1,459 * (1 + 4.73/day)^4 = 2,719.37 dollars.

The exponential growth formula is a mathematical equation used to calculate the growth of a population over time. It is expressed as N(t) = N0 * (1 + r)^t, where N0 is the initial population size, r is the growth rate, and t is the time in days.

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9514 1404 393

Answer:

  67 million square miles

Step-by-step explanation:

The area of a sphere is given by ...

  A = 4πr²

So the area of the Earth is approximately ...

  A = 4π(4000 mi)² ≈ 2.01×10^8 mi²

The area of the 1/3 that is not covered by water is approximately ...

  (2.01×10^2 mi²)/3 = 6.7×10^7 mi²

The land area is estimated to be about 67 million square miles.