f(n) = 45 • (4/5) ^n-1

Answers

Answer 1

The calculated common ratio of the sequence is 4/5

How to determine the common ratio of the sequence

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

[tex]F(n) = 45 \cdot (\frac45)^{n - 1}[/tex]

By definition:

A geometric sequence is represented as

[tex]F(n) = ar^{n-1}[/tex]

Where, the common ratio is r

By comparison and using the above as a guide, we have the following:

r = 4/5

Hence, the common ratio of the sequence is 4/5

Question

A sequence is defined by F(n) = 45 • (4/5) ^n-1.

What is its common ratio


Related Questions

Solve the equation for y. Then find the value of y for each value of x.
y + 4x = 11; x = -1, 0,3
Solve the equation for y.
y=1
What is it ?

Answers

I don't know whether it is right or wrong but i tried my best.

Answer:

y+4(-1)=11

y=11+4

y=15.

ii)y+4(0)=11

y=11

ii)y+4(3)=11

y=11-12

y=-1

when y=1

1+4x=11

4x=11+1

4x=12

x=3

Between which two ordered pairs does the graph of f(x) = one-halfx2 + x – 9 cross the negative x-axis?

Answers

Answer:

Step-by-step explanation:

we have that

[tex]f(x) = x^2 + x - 9[/tex]

Using a graph tool

see the attached figure

The function represent a vertical parabola that open up

the vertex is a minimum-------> is the point (-0.5, -9.3)

The x-intercepts are the points when the y coordinate is equal to zero

The x-intercepts are the points (-3.5, 0)  and (2.5, 0)

so

the function cross the negative x-axis at point

therefore, the answer is

(-4, 0) and (-3, 0)

Answer:

(-6,0)(-5,0)

Step-by-step explanation:

What two products do you get when you cross-multiply the fractions 2/5 and 3/8?
a 10 and 12
b 6 and 40
c 16 and 15
d 3 and 5

Answers

Final answer:

When you cross-multiply the fractions 2/5 and 3/8, you obtain two products: 16 and 15.

Explanation:

To find the products obtained when you cross-multiply the fractions 2/5 and 3/8, you multiply the numerator of the first fraction with the denominator of the second fraction, and the denominator of the first fraction with the numerator of the second fraction.

So, here are the steps:

Multiply 2 (numerator of the first fraction) by 8 (denominator of the second fraction). That gives you a product of 16. Multiply 5 (denominator of the first fraction) by 3 (numerator of the second fraction). That gives you a product of 15.

Therefore, the two products you get when you cross-multiply the fractions 2/5 and 3/8 are 16 and 15. Thus, the correct answer is option c: 16 and 15.

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In a survey of 250 students, 60% said that they have a cat. Of the students who have a cat, 70% also have a dog. Of the students who do not have a cat, 75% have a dog

Answers

Answer:

Step-by-step explanation:

Given:

250 students And respective percentage of students who are having dogs and cats.

To Find:

60% said that they have a cat. Of the students who have a cat, 70% also have a dog. Of the students who do not have a cat, 75% have a dog

Solution:

Taking each condition as follows:

60% of 250 have cats

i.e   0.6 *250= 150 students have cats

So 150 students of that 70% has dogs

i.e 0.7*150=15*7=105 students have dogs

Now 40 % of 250 dont have cats

i.e  0.4*250=100 students dont have cats

So  Of which 75 % have dogs

i.e 0.75*100= 75 students will have dogs.

Now making tabular forms to understand properly,

(Refer the Attachment)

help with this pls is important

Answers

Answer:

#1: x=6, -1

#2: x=2, 3

#3: x = - 4/3, 2

#4: x = -5/2, -2

#5: x = 1/2, -7/2

#6: x= -1/2, 2/3

#7: x = 1/3, 1/4

Step-by-step explanation:

You’re gonna have to copy this down quickly because if they see that I don’t have an explanation, they are going to delete my comment. So hurry!!!

Answer:

Step-by-step explanation:

What is the surface area of the triangular prism?

A triangular prism. The rectangular sides are 5 feet by 4 feet, 5 feet by 5 feet, and 5 feet by 3 feet. The triangular sides have a base of 4 feet and height of 3 feet.

What is the surface area of the triangular prism?

60 square feet
72 square feet
82 square feet
84 square feet

Answers

Answer:

My friends

Step-by-step explanation:

the surface area of the triangular prism is

60 square feet

This is hard hi and I'm guessing 60 also

kerry cut an 8 foot long board 6 pieces that are equal in length

Answers

Answer:

1 1/3 ft

Step-by-step explanation:

We have 8 feet of board to work with. In order to find how long each of the 6 pieces are, we need to divide 8 by 6: 8 / 6 = 4 / 3 = 1 1/3 ft.

Thus, the length of each piece is 1 1/3 ft.

Hope this helps!

$65 × 25%

$823×21.4%

$33,333×4.3%

$12,831×52%

$44,893×3.4%

Answers

$65×25%=$65×($65×0.25)=$1056.25

$823×21.4%=$823×($823×0.214)=$144,948.406

$33,333×4.3%=$33,333×($33,333×0.043)=$47,776,822.227

$12,831×52%=$12,831×($12,831×0.52)=$85,609,971.72

$44,893×3.4%=44,893×(44,893×0,034)=$68,522,969.266

The average rate of change of a function is less from = x equals 1 to = x equals 4 than from = x equals 5 to = x equals 8 . What type of function could it be? Explain

Answers

Answer:

Step-by-step explanation:

Given that,

Rate of change of a function

1. From x = 1 to x = 4

2. From x = 5 to x =8

Then,

Rate of change for first condition

∆x/∆t = (x2-x1) / (t2-t1)

∆x/∆t = (4-1) / (t2-t1)

∆x/∆t = 3 / (t2-t1)

Rate of change for second condition

∆x/∆t = (x2-x1) / (t2-t1)

∆x/∆t = (8-5) / (t2-t1)

∆x/∆t = 3 / (t2-t1)

The rate of change are equal, it shows that the slope are equal.

So, it is a straight line function.

Since it has equal rate of change..

NEED HELP ASAP.....At the 2012 Summer Olympic Games in London, in the Men's Shot Put qualifying round, the distances ranged from 17.58 meters to 21.36 meters with a mean distance of 19.64 meters and a standard deviation equal to 0.92 meters. If the distribution were truly a normal distribution, what percent of the athletes would have had a distance greater than 20.56 meters, one standard deviation above the mean? There were 40 athletes in the competition. How many athletes does that represent?

OPTIONS:
-about 6 athletes
-about 14 athletes
-about 20 athletes
-about 26 athletes
-about 34 athletes

Answers

Answer:

About 6 athletes.

Step-by-step explanation:

We are concerned only with the percent of athletes that are above one standard deviation.

Between one standard deviation and two standard deviations, there is 13.6% of the athletes.

From 2 to 3, there is 2.1%. Above 3, there is 0.2%.

The sum of those percentages is 15.9% of 40 = 0.159 · 40 = 6.36 or about 6 athletes.

Hope this helps.

The solution is: About 6 athletes does that represent.

What is percentage?

A percentage is a number or ratio that can be expressed as a fraction of 100. A percentage is a number or ratio expressed as a fraction of 100. It is often denoted using the percent sign, "%", although the abbreviations "pct.", "pct" and sometimes "pc" are also used. A percentage is a dimensionless number; it has no unit of measurement.

here, we have,

We are concerned only with the percent of athletes that are above one standard deviation.

Between one standard deviation and two standard deviations, there is 13.6% of the athletes.

From 2 to 3, there is 2.1%. Above 3, there is 0.2%.

The sum of those percentages is 15.9% of 40

= 0.159 · 40

= 6.36 or about 6 athletes.

Hence, The solution is: About 6 athletes does that represent.

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Find the midpoint of the line segment with end coordinates of:
(

2
,

2
)
and
(
2
,

8
)

Answers

Answer:

(0,-5)

Step-by-step explanation:

(−2,−2)

and

(2,−8)

Midpoint: (-2+2)/2, (-2-8)/2

0/2, -10/2

(0,-5)

Which formula should be used to find the circumference of a circle?
A C = pi d
B C = 2 pi d
C C = pi r
D C = StartFraction pi over d EndFraction

Answers

Answer:

A

Step-by-step explanation:

[tex]C=\pi d\\[/tex]

or

C=pi times 2r

Answer:

A

GIVE THE OTHER GUY BRAINLIEST

ALL CREDIT TO HIM

What is the measure of the missing angle in this triangle?​

Answers

Answer:

Its 25°

Explanation:

Its The Smallest Angle Thats There Because If It Was 60° Or 150° They Would Be Bigger And If It Was 35° It Would Be The Same As The Other Angle 35°

The measure of the missing angle is [tex]25^\circ[/tex]. So, the first option is correct.

Important information:

Measure of the first angle is 35 degrees.Measure of the second angle is 120 degrees.

We need to find the third angle of the triangle.

Angle sum property:

According to the angle sum property, the sum measure of all interior angles of a triangle is 180 degrees.

Let [tex]x[/tex] be the measure of the missing angle.

[tex]x+35^\circ+120^\circ=180^\circ[/tex]

[tex]x+155^\circ=180^\circ[/tex]

[tex]x=180^\circ-155^\circ[/tex]

[tex]x=25^\circ[/tex]

Thus, the first option is correct.

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In 56 years, Kevin will be 9 times as old as he is right now.
How old is he right now?

Answers

Answer:

he's 7 years old

Answer:

Step-by-step explanation:     Kevin will actually be 6 years and 2 months old

An order is received for 400 loaves of whole wheat bread, 200 loaves of oat bread, and 350 loaves of rye bread. Given that the cost of mixing, baking, and packaging is $14, $25, and$2, respectively, per hour, find matrices B and C so that the product BAC will give the total cost (excluding raw materials) of filling this order. Find the total cost.

Answers

The total cost (excluding raw materials) of filling this order is $11,300.

Let's denote the matrices as follows:

[tex]\[ B = \begin{bmatrix} 400 \\ 200 \\ 350 \end{bmatrix} \][/tex]

This matrix represents the number of loaves for each type of bread.

[tex]\[ A = \begin{bmatrix} 14 & 25 & 2 \end{bmatrix} \][/tex]

This matrix represents the cost per hour for mixing, baking, and packaging.

[tex]\[ C = \begin{bmatrix} 1 \\ 1 \\ 1 \end{bmatrix} \][/tex]

This matrix represents the number of hours needed for each process (mixing, baking, packaging).

Now, we can calculate the product BAC to find the total cost:

[tex]\[ BAC = B \cdot A \cdot C \][/tex]

Let's perform the calculations:

[tex]\[ BAC = \begin{bmatrix} 400 \\ 200 \\ 350 \end{bmatrix} \begin{bmatrix} 14 & 25 & 2 \end{bmatrix} \begin{bmatrix} 1 \\ 1 \\ 1 \end{bmatrix} \][/tex]

[tex]\[ BAC = \begin{bmatrix} (400 \times 14 + 200 \times 25 + 350 \times 2) \end{bmatrix} \][/tex]

[tex]\[ BAC = \begin{bmatrix} 5600 + 5000 + 700 \end{bmatrix} \][/tex]

[tex]\[ BAC = \begin{bmatrix} 11300 \end{bmatrix} \][/tex]

So, the total cost (excluding raw materials) of filling this order is $11,300.

Please help me with this question. Will mark brainliest!!

Answers

Answer:

77

Step-by-step explanation:

im rusty but u double 75 i think add the arc thing which is 133 and subtract that from 360 to get 77

One letter weighs 12 ounces. The mail carrier is allowed to carry 30 pounds. How many letters is he able to carry? 16 letters 32 letters 40 letters 480 letters

Answers

Answer: He is able to carry 40 letters

Step-by-step explanation: The total weight the mail carrier is allowed is 30 pounds, whereas each letter weighs 12 ounces.

What we need to do is simply find the rate of conversion between an ounce and a pound.

By conversion, 1 ounce equals 0.0625 pounds, that is;

1 ounce = 0.0625 pounds

Therefore 12 ounces would be 0.0625 times 12 which equals, 0.75 pounds. This means one letter weighs an equivalent of 0.75 pounds. If the mail carrier is allowed to carry a total of 30 pounds, then he can carry;

No of letters = Total weight allowed/weight of one letter

No of letters - 30/0.75

No of letters = 40

Hence the mail carrier is able to carry 40 letters.

Your Answer is C. He can carry 40 letters.

Step-by-step explanation:

Hope it helps!

Good luck!

Identify the axis of symmetry for the following equation:
y = x^2 + 10x + 26

A) x = -5

B) x = 2

Answers

Answer:

The answer to your question is the letter A.

Step-by-step explanation:

Data

             y = x² + 10x + 26

Factor the right side of the equation

         y - 26 = x² + 10x

-Complete the perfect trinomial square

         y - 26 + (5)² =  x² + 10x + (5)²

-Simplify

        y - 26 + 25 = x² + 10x + 25

              y - 1 = (x + 5)²

Vertex = (-5 , 1)

The function given is a vertical parabola whose axis of symmetry goes through x = -5

On a coordinate plane, a dashed straight line has a positive slope and goes through (negative 3, negative 3) and (3, 1). Everything below and to the right of the line is shaded.
Which linear inequality is represented by the graph?

y > Two-thirdsx – 2
y < Two-thirdsx + 2
y > Two-thirdsx + 1
y < Two-thirdsx – 1

Answers

Answer:

y < 2/3x - 1

Step-by-step explanation:

Find the Equation of the line

P1(-3,-3) P2 (3,1)

1.) Find the Slope

Rise: 1-(-3) = 4

Run: 3-(-3) = 6

m = [tex]\frac{Rise(Changeiny)}{Run(Changeinx)}[/tex] = [tex]\frac{4}{6}[/tex]=[tex]\frac{2}{3}[/tex]

2.) Find y intercept (B)

 y = 2/3x + b

-3 = 2/3(-3) + b <-Plug a point in

-3 = 2 + b

-2   -2

 -1 = b

3.) Equation

y = 2/3x - 1

Write an inequality

Since y must be below the line, that means y is less than the equation used to find the line.

y < 2/3x - 1

Though I was not able to get the right answer I'll just answer what has the right equation.

Answer:

y < Two-thirdsx – 1

Step-by-step explanation:

What is the measure of AngleDEF?

Triangle D E F. Angle D is 28 degrees. Angle F is 47 degrees.
25 degrees
75 degrees
90 degrees
105 degrees

Answers

Answer:

Angle E should be 105 degrees.

Step-by-step explanation:

Since a triangle equals 180, you subtract 47° and 28° from that and come up with 105°.

The angle E is 105 degrees when  Angle D is 28 degrees. Angle F is 47 degrees.

What is Triangle?

A triangle is a three-sided polygon that consists of three edges and three vertices.

Let the triangle be DEF.

Angle D is 28 degrees. Angle F is 47 degrees.

We need to find the angle E

By angle sum property we know the sum of three angles of a triangle is 180 degrees.

28+47+x=180

75+x=180

Subtract 75 from both sides

x=180-75

x=105 degrees.

Hence, the angle E is 105 degrees when  Angle D is 28 degrees. Angle F is 47 degrees.

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Which are steps that could be used to solve 0 = 9(x2 + 6x) – 18 by completing the square? Check all that apply.
18 + 81 = 9(x2 + 6x + 9)
18 + 9 = 9(x2 + 6x + 9)
18 + 36 = 9(22 + 6x + 36)
11 = (x + 3)2
07342 = (x + 6)2
199 = (x + 3)2

Answers

Answer:

A) 18+81=9(x^2+6x+9)

D)11+(x+3)^2

Step-by-step explanation:

To solve this by completing the square, we want to get it to the form of: (x + 3)^2 = 9

There are multiple ways to get there.

First we could divide by 9 to get.

x^2 + 6x = 0

Then, add 9 to both sides to get:

x^2 + 6x + 9 = 9

Factor the left side:

(x + 3)^2 = 9

Now, you can solve this equation by completing the square.

(*I think you have a typo in your answer choices)

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two angles in a triangle measure (2.3x+25)° and (5.8x+11)°. what is the value of x if the two angles are congruent to one another?

A. x= 34.2
B. x= 10.3
C. x= 6.6
D. x= 4

Answers

Answer:

The answer is D. x= 4

Step-by-step explanation:

The angles are congruent so

2.3x +25 = 5.8x + 11

2.3x - 5.8x = 11 - 25

-3.5x = -14

x = 14/3.5

x = 4.

Answer:

The answer to your question is the letter D.

Step-by-step explanation:

Data

First angle          2.3x + 25

Second angle    5.8x + 11

Process

1.- This angles are congruents, this menas that they measure the same so to find x, equal both values.

                         2.3x + 25 = 5.8x + 11

2.- Solve for x

                         2.3x - 5.8x = 11 - 25

3.- Simplification

                                -3.5x = -14

                                      x = -14/-3.5

4.- Result

                                     x = 4

1) A chemist has 250 ml of a 5% acid solution. How much water should be added to this solution to reduce it to a 3% solution.

Answers

Answer:

153.1ml

Step-by-step explanation:

We have 12.5ml of acid in the solution.

If we want this to be 3% then we can divide this value by 3 and times by 100 to get the total value.

416.6ml total solution amount

415.6-12.5-250=153.1

14. Sarah bought a lawnmower for $320. She signed up for the buy now pay later plan at the store with the following conditions: $100
down and payments of $25 for the next 12 months. The extra cost paid by taking this plan is equivalent to what actual yearly rate of
interest?
A. 85%
B. 65%
CC. 67%
D. 25%

Answers

Answer:

D

Step-by-step explanation:

100+25 * 12 ; 100+300 = 400 ; difference = 400-320=80 ; percent increase since it is 1 year = 80/320 =1/4=0.25 = 25/100=25%

A board is leaning against a vertical wall. One end of the board rests on the ground at a point eight feet from the wall. The other end of the board touches the wall at a point that is six feet above the ground.





35 POINTS!Use a trigonometric function to determine the angle that the board creates with the ground (m∠A). In at least four sentences, explain why you chose your specific function and how it applies to the measure of angle A. Be sure to include the key vocabulary words "tangent", "ratio", "opposite side", "adjacent side" and "angle measure" in your response. Describe each computational step in complete sentences.

Answers

Answer:

36.87°

Step-by-step explanation:

Since ABC is a right-angle triangle, we can use trigonometric ratios to solve for unknown angles and sides.

For Angle at A, we have lengths of opposite and adjacent sides so we can use tangent at A.

tan(A) = opposite/adjacent

tan(A) = CB/AB

tan(A) = 6/8

A = (tan^-1)(0.75)

A = 36.86989765°

20% of a is 11. What is a? *

Answers

20% of a = 11

[tex]\frac{20}{100}[/tex] a = 11

[tex]\frac{1}{5}[/tex] a = 11

a = 55

I hope this helps! If you have any questions, feel free to ask.

Answer.

2.2

Why:

in percents you always put the percent above 100% ( so it'll look like this---- 20/100) and your number that is left out would be 11 so you put it by your percent like this----20         a

                               100        11

so now you do divide and multiply: you divide 20 by 100 and multiply by 11 to get a which is 2.2

What is 2 divided by 565

Answers

Hahah PHILSWIFT I answered first

Answer:

.003539823 to be exact

Step-by-step explanation:

well 565 cant go into 2 one time so it be a decimal.

If you are dealt 4 cards from a shuffled deck of 52​ cards, find the probability that all 4 cards are queens.

Answers

Final answer:

To find the probability of getting all 4 cards that are queens, we calculate the number of favorable outcomes and the total number of possible outcomes. The probability is the number of favorable outcomes divided by the total number of possible outcomes.

Explanation:

To find the probability of getting all 4 cards that are queens, we need to calculate the number of favorable outcomes (4 queens) and the total number of possible outcomes when 4 cards are dealt from a shuffled deck of 52 cards.

The total number of possible outcomes can be calculated using combinations. We can use the formula C(n, r) = n! / (r!(n-r)!), where n is the total number of items (52 cards) and r is the number of items to be selected (4 cards). So, C(52,4) = 52! / (4!(52-4)!) = 270,725.

The number of favorable outcomes is 4 since we want all 4 cards to be queens.

Therefore, the probability is the number of favorable outcomes divided by the total number of possible outcomes: P(all 4 cards are queens) = 4/270,725 = 0.00001475 (rounded to 5 decimal places) or approximately 0.0015%.

Ciro made a sign in the shape of a trapezoid. The parallel sides measured 18 inches and 35 inches. The distance between these sides was 19 inches. What was the area of Ciro's sign?

Answers

Final answer:

The area of Ciro's trapezoidal sign is calculated using the formula for the area of a trapezoid, which is 503.5 square inches.

Explanation:

The student's question involves calculating the area of a trapezoid. The formula for the area of a trapezoid is ½(√ + ∛)×h, where √ and ∛ are the lengths of the parallel sides and h is the distance between these sides. Given that √ = 18 inches, ∛ = 35 inches, and h = 19 inches, plug these values into the formula to get:

Area = ½(18 inches + 35 inches) × 19 inches

Area = ½(53 inches) × 19 inches

Area = 26.5 inches × 19 inches

Area = 503.5 square inches

So, the area of Ciro's sign, which is trapezoidal is 503.5 square inches.

Hey I am needing help

Which fraction would be between 5/8 and 13/16

Answers

Answer:

11/16 and 12/16=3/4

Step-by-step explanation:

First we need to get a common denominator

5/8*2/2 = 10/16

The fractions between 10/16 and 13/16

are 11/16 and 12/16

We can simplify 12/16 =6/8=3/4

There are many others if we go with a higher common denominator.  These are just two examples

add numerators: 5 + 13 = 18.

add denominators: 8 + 16 = 24.

simplify: 18/24 simplified would be 3/4.

answer: 3/4
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He then learned that the price ofwhite water rafting is too high for his class's budget. How should Nestor adjust his argument based on this newinformation while still keeping his claim the same?O He should state that white water rafting is a wonderful experience that is worth the extra money.O He should suggest not having a trip this year and saving the money for a white water rafting trip next year.O He should reveal the cost of the white water rafting trip after he has already presented his supporting argument.O He should show evidence that the students could raise the additional money by having a bake sale. 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Calculate the mag-netic field (magnitude and direc-tion) at a point p due to a current i=12.0 a in the wire shown in fig. p28.68. segment bc is an arc of a circle with radius 30.0 cm, and point p is at the center of cur- vature of the arc. segment dais an arc of a circle with radius 20.0 cm, and point p is at its cen- ter of curvature. segments cd and ab are straight lines of length 10.0 cm each BuyCostumes.com is the fastest growing Internet apparel company. Since their founding in 1999 they have experienced the challenge of an annual growth of 75%. This challenge is further complicated with over 50% of their annual sales occurring in 6 weeks.CONCEPT REVIEW:Operations planning is the key to success in BuyCostumes.com's challenging and complicated business. This planning begins with a successful sales forecast that takes into account company history, economic forecasts, industry and pop culture trends. The sales forecast enables customer service and the warehouse to determine their peak season staffing needs. Purchasing, warehousing and receiving must also plan with a focus on the peak Halloween season. The business is working to lessen the impact of the Halloween peak by expanding into party supplies and holiday decorations.1. Which of the following is taken into account in forecasting sales?A. Company industry, fashion trends, economic forecastB. Company history, industry trends, weather forecastC. Company history, weather forecast, economic forecastD. Competitor's history, industry trends, economic forecastE. Company industry, fashion trends, economic forecastF. Competitor's history, fashion trends, weather forecastG. Company history, industry trends, economic forecastselectCompany history, industry trends, weather forecastCompany history, weather forecast, economic forecastCompetitor's history, industry trends, economic forecastCompany industry, fashion trends, economic forecastCompetitor's history, fashion trends, weather forecastCompany history, industry trends, economic forecast2. In addition to historical data, which other factor is taken into account when forecasting sales? A. Analysis of customer returns B. Pop culture trends C. Population growth D. Customer surveys E. Market research F. Climate trends selectAnalysis of customer returnsPop culture trendsPopulation growthCustomer surveysMarket researchClimate trends3. What does a wave carry?go At 2:00 a.m. the nurse on duty was called to the patient's room. The patient had vomited a large quantity of undigested food. He was perspiring profusely, his pulse was 132 beats/min, and his blood pressure was 215/138 mmHg. An abdominal exam showed no evidence of tenderness, but there was a complete lack of bowel sounds. Over the next hour the patient's pulse slowed, blood pressure fell toward normal, and he was able to go back to sleep until morning. Blood and urine tests in the morning showed normal blood glucose, but a significant elevation of urinary glucose.Which of the following is a normal stimulator of digestive activity? Sympathetic nerve activityIncreased insulin secretionDecreased thyroid hormoneDecreased cortisol secretionParasympathetic nerve activity A circle with radius 6 has a sector with a central area of 11/6 pi radians. what is the area of the sector? Calibrating a scale: Making sure that the scales used by businesses in the United States are accurate is the responsibility of the National Institute for Standards and Technology (NIST) in Washington, D.C. Suppose that NIST technicians are testing a scale by using a weight known to weigh exactly 1000 grams. The standard deviation for scale reading is known to be = 2.3. They weigh this weight on the scale 49 times and read the result each time. The 49 scale readings have a sample mean of x = 999.0 grams. The calibration point is set too low if the mean scale reading is less than 1000 grams. 1. The technicians want to perform a hypothesis test to determine whether the calibration point is set too low. Use the = 0.01 level of significance and the P-value method with the TI-84 calculator. What do you think makes a rule a function? What does 4/9 - 2/9 equal? Select the correct answer.What does the Constitution require for a candidate to be approved as a federal judge Someone Please helpppp!!! Kurts Interiors is considering a project with a sales price of $11, variable cost per unit of $8.50, and fixed costs of $134,500. The tax rate is 35 percent and the applicable discount rate is 14 percent. The project requires $224,000 of fixed assets that will be worthless at the end of the 4-year project. What is the present value break-even point in units per year? Dave is a congenitally deaf individual who is conversing with his friend Robert. As they are communicating, Dave makes eye contact with Robert while depending on his peripheral vision to interpret Robert's hand and arm motions. As a result, Dave uses the brain systems that would normally be involved in hearing and processing spoken language for processing visual information instead. This exemplifies _____ plasticity.