The area of a rectangular garden in square feet can be represented by z² - 10z +21. The length is z - 7 feet. You have been hired to fertilize the
garden. Recall that the area of the garden is z² - 10z +21. If z = 20 and the fertilizer costs $0.27 per square foot, how much it cost to fertilize
the garden?
Answer:
$ 59.67
Step-by-step explanation:
The area of a rectangular garden in square feet can be represented by z² - 10z +21 square feet
If z = 20
Therefore:
The area of the rectangular garden is:
20² - 10 × 20 + 21
400 - 200 + 21
= 221 square feet
The fertilizer costs $0.27 per square foot, how much it cost to fertilize
the garden?
The cost of fertilize the garden is calculated as:
1 square feet = $0.27
221 square feet = x
Cross Multiply
221 square feet × $0.27
=$ 59.67
1. Describe the relationship between the terms in the sequence 13, 26, 52,
104, ... Then write the next three terms in the sequence.
Answer: All of the numbers in the sequence are going up twice the amount as before. The next three terms will be 208, 416, 832
Answer: 208, 416, 832
The numbers double by itself
Step-by-step explanation:
13+13 = 26, 26+26 = 52, 52+52 = 104, 104+104=208 and so on
JELLY V. TUCHY Slipe old Distribution O of 1 Point The data below represent the per capita (average) disposable income (income after taxes) for 25 randomly selected cities in a recent year. Describe the shape of the distribution. Choose the correct answer below. Skewed left 30,206 34,278 36,997 40,291 30,448 34,633 37,244 41,059 Skewed right Bell-shaped O 30,732 34,968 37,811 41,437 Uniform 32,171 35,230 38,408 52,510 33,016 35,624 38,608 33,684 35,863 38,956 Get more help Clear all Check answer JELLY V. TUCHY Slipe old Distribution O of 1 Point The data below represent the per capita (average) disposable income (income after taxes) for 25 randomly selected cities in a recent year. Describe the shape of the distribution. Choose the correct answer below. Skewed left 30,206 34,278 36,997 40,291 30,448 34,633 37,244 41,059 Skewed right Bell-shaped O 30,732 34,968 37,811 41,437 Uniform 32,171 35,230 38,408 52,510 33,016 35,624 38,608 33,684 35,863 38,956
The shape of the distribution of per capita disposable income for the 25 randomly selected cities in a recent year can be described as skewed right.
To determine the shape of the distribution, we can examine the data and look for any noticeable patterns. In this case, we observe that the values for per capita disposable income generally increase as we move from left to right. This indicates a rightward skewness in the distribution.
Skewness refers to the asymmetry of a distribution. When a distribution is skewed right, the tail of the distribution extends towards the higher values, while the majority of the data tends to cluster towards the lower values. This suggests that there are few cities with relatively higher per capita disposable incomes, while the majority of cities have lower incomes.
In contrast, a bell-shaped distribution would indicate a symmetrical pattern with a peak in the center and an equal number of data points on both sides.
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A pump fills a pool at a constant rate. At the end of 1 minute it has filled 6 gallons of water. Which table represents the relationship between the number of minutes and the number of gallons of water in the pool?
Answer:
I would need to see the different tables to answer this question.
Suppose babies born after a gestation period of 32 to 35 weeks have a mean weight of 2500 grams and a standard deviation of 600 grams while babies born after a gestation period of 40 weeks have a mean weight of 2800 grams and a standard deviation of 415 grams. If a 34-week gestation period baby weighs 2875 grams and a 41-week gestation period baby weighs 3175 grams, find the corresponding z-scores. Which baby weighs more relative to the gestation period?
Find the corresponding z-scores. Which baby weighs relatively more? Select the correct choice below and fill in the answer boxes to complete your choice. (Round to two decimal places as needed.)
A. The baby born in week 34 weighs relatively more since its z-score ____, is smaller than the z-score of ____ for the baby born in week 41
B. The baby born in week 41 weighs relatively more since its z-score ____, is smaller than the z-score of ____ for the baby born in week 34
C. The baby born in week 34 weighs relatively more since its z-score ____, is larger than the z-score of for ____ the baby born in week 41 for the baby born in week 34
D. The baby born in week 41 weighs relatively more since its z-score ____, is larger than the z-score of ____ for the baby born in week 34
The corresponding z-scores for the given observations can be calculated using the formula:
[tex]\[z = \frac{{x - \mu}}{{\sigma}}\][/tex]
where [tex]\(x\)[/tex] is the observation, [tex]\(\mu\)[/tex] is the mean, and [tex]\(\sigma\)[/tex] is the standard deviation.
For the baby born in week 34 weighing 2875 grams:
[tex]\[z_{34} = \frac{{2875 - 2500}}{{600}} = 0.625\][/tex]
For the baby born in week 41 weighing 3175 grams:
[tex]\[z_{41} = \frac{{3175 - 2800}}{{415}} = 0.904\][/tex]
To determine which baby weighs more relative to the gestation period, we compare the z-scores.
A. The baby born in week 34 weighs relatively more since its z-score 0.625 is smaller than the z-score 0.904 for the baby born in week 41.
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What should be done to both sides of the equation in order to solve y - 4.5 = 12.2?
Add 4.5
---
hope it helps
Answer: add 4.5 to both sides
Step-by-step explanation: this will allow the 4.5 to be removed from the y side and since you added it to one side you have to add it to the other side. This will give your y the value of 16.7.
Brainliest plz
Donna bought 5 bags of dog treats for $13.10. What is the cost per bag of dog treats?
A. $18.10
B.$3.28
C.$2.62
D.$0.38
AHHHHH HELPPPPPPPPPPPPPPPPP
[tex]3^{2}+2^{2}=d^{2}[/tex]
Answer:
I cant see the photo sorry
Step-by-step explanation:
Rewrite the equation by completing the square. x^{2}+4x-21 = 0
Answer:
x={3,-7}
Step-by-step explanation:
brackets for list
Solve with quadratic formula
separate the solutions
Square
Answer:
2 for the first box and 25 for the second one.
Step-by-step explanation:
8. Which equation is true for all x- and y- values in the table below?
x y
1 7
2 14
3 21
4 28
(1 point)
y = x + 7
y = x – 7
y = x over seven
y = 7x
Answer:
y = 7x
Step-by-step explanation:
you mutiply 7 times 1=7
you just continue to do that
I need a little more help. Sorry for the spam questions.
I NEED the Answer NO LINKS!!
Answer:
A
Step-by-step explanation:
This should Help
HELPPP WILL MARK BRAINLIEST!!!!!!
Answer:
15 by 2
Step-by-step explanation:
15 cubes in each layer with 2 layers
Answer:
Cubes in each layer: 15
Number of layers: 2
Volume : 30 cm^3
Step-by-step explanation:
What is the solution to the equation x + 11 = 57? (Input a whole number only.)
Answer:
46
Step-by-step explanation:
Answer:
x=46
Step-by-step explanation:
Find the area of the shaded area
Answer:
1.7x3.9=6.63 so each shaded area is 6.63 then add
Step-by-step explanation:
Write an equation of the line that passes through (0, 8) and (6, 8).
Answer:
y = 8
Step-by-step explanation:
Both of the points have the same y, which is 8, meaning that if the line passed through both of those points, then it has to be horizontal, meaning the equation is y = 8 Also, there is no x in the equation because the slope is 0.
(3+4)⋅(22+3)
whats the answer for that equation
the answer should be 175
PLEASE ANSWER THIS ASAP
Answer:
the answer is rotation
hope this helps
Choose the correct classifacation of 4x^4-4x^3+10x^6
Answer:what’s classification
Step-by-step explanation:
Determine whether the following series are convergent or divergent.
a. (summation) n=3 to infinity of 6/(n+4)
b. (summation) n=2 to infinity of n/((Sq. root of n) +1)
c. (summation) n=1 to infinity of 1/ (Sq. root of n^4 +8)
d. (summation) n=2 to infinity of (-1)^(n-1) n/ ln/n
The following are the solutions of the given series:a) The given series can be written as:(summation) n=3 to infinity of 6/(n+4) = 6[(1/7) + (1/8) + (1/9) +...].It is a p-series of p = 1, since 1 < p = 2. Hence, it is divergent. b) The given series can be written as:(summation) n=2 to infinity of n/((Sq. root of n) +1) = (summation) n=2 to infinity of [n/((Sq. root of n) +1)] * [(Sq. root of n)-1]/[(Sq. root of n)-1].On solving this we get, (summation) n=2 to infinity of [(Sq. root of n)-1].This series is a p-series of p = 1/2, since p < 1. Hence, it is convergent. c) The given series can be written as:(summation) n=1 to infinity of 1/ (Sq. root of n^4 +8) .This is a convergent series because it is similar to the p-series with p = 2. Therefore, the series is convergent. d) The given series can be written as:(summation) n=2 to infinity of (-1)^(n-1) n/ ln/n .As per Alternating Series Test, this is an alternating series which is decreasing to 0, Hence, the series is convergent.
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According to the given information,
a. the series diverges.
b. the series diverges.
c. series is convergent
d. series is conditionally convergent
To determine the convergence or divergence of these series, we can analyze the behavior of the terms as n approaches infinity.
a. The series (summation) n=3 to infinity of 6/(n+4) can be rewritten as (summation) n=3 to infinity of 6/n.
As n approaches infinity, the term 6/n approaches zero. Since the harmonic series (1/n) is known to diverge, the given series also diverges.
b. The series (summation) n=2 to infinity of n/((Sq. root of n) +1) can be rewritten as (summation) n=2 to infinity of (n^(3/2))/(n + sqrt(n)).
As n approaches infinity, the term (n^(3/2))/(n + sqrt(n)) approaches (n^(3/2))/n = sqrt(n).
Since sqrt(n) increases without bound as n approaches infinity, the series diverges.
c. The series (summation) n=1 to infinity of 1/(Sq. root of (n^4 + 8)) can be rewritten as (summation) n=1 to infinity of 1/(n^2 + 8^(1/4)).
As n approaches infinity, the term 1/(n^2 + 8^(1/4)) approaches 0. Since the terms of the series approach zero as n approaches infinity, we need to investigate further.
By comparing the series to the p-series, we see that n^2 is larger than 1 for all n greater than or equal to 1. Therefore, the series (summation) n=1 to infinity of 1/(n^2 + 8^(1/4)) is convergent.
d. The series (summation) n=2 to infinity of (-1)^(n-1) n/ ln(n) can be analyzed using the alternating series test.
As n approaches infinity, the term n/ln(n) approaches infinity, and the series does not converge absolutely.
However, if we examine the behavior of the series using the alternating series test, we see that (-1)^(n-1) alternates between -1 and 1.
Additionally, the absolute value of n/ln(n) is a monotonically decreasing function as n increases.
Thus, the series is conditionally convergent by the alternating series test.
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Write an equivalent expression for each expression.
6(12-3b)
Answer: -18b + 72
Step-by-step explanation:
6(12 - 3b)
= 6(12) + 6(-3b)
= 72 - 18b
= -18b + 72
Two square posters are hanging on a wall. The large poster has an area of 144 square units, and the small poster has an area of 100 square units. How much bigger is the perimeter of the large poster than the perimeter of the small poster?
Answer:
8
Step-by-step explanation:
If you do the math with the area to find out the perimeter, and you will find the largest one to be the poster with the area of 144 , and the smaller one to be the one with the area of 100
Answer:
Length= squre root of area
Length of big poster = squre root of 144
=12
Length of small poster=squre root of 100
=10
The perimeter = 4*length
Big poster perimeter=4*12=48
Small poster perimeter =4*10=40
The difference= 48 - 40 = 8
It is bigger by 8
the school choir has 110 members there are 20 more girls than boys there are how many boys the choir
Answer:
65 girls and 45 boys
Step-by-step explanation:
A cube has a surface area of 6. What's the volume?
Answer:
18 Superfícies
Step-by-step explanation:
Angle 3 and angle 5 are What Kind Of Angle
A.Corresponding
B.Same Side
C.Alternate interior
Answer:
The answer of this question is C
A travel agent collected data from a group of past clients regarding what type of reservation they plan to make in the future and which package they plan to choose. The types of reservations offered at the agency are tours, cruises, and resorts, and the packages offered are either basic or deluxe.
The two way table given by option z is a possible representation of the data collected.
How to calculate a relative frequency?A relative frequency is calculated as the division of the number of desired outcomes by the number of total outcomes.
From the first table, we have that:
Half of the packages are basic.Half of the packages are deluxes.Then, for the basic packages, we have that resorts were chosen 2.5 times more than tours, while cruises were chosen 1.5 times more than tours.
Option z shows these same ratios between the amounts, hence it is the correct option.
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Jasmine has $50 and saves $4.38 every month. Radha has $0 and saves $5.38 every month. Jasmine's savings after x months can be represented by the function f (x) = 4.38 x + 50. Radha's savings after x months can be represented by the function g (x) = 5.38 x. Round your answer to the nearest hundredth.
After how many months will they both have the same amount in savings? Find the values of x for which f (x) = g (x).
After ____ months, Jasmine and Radha will have the same amount in savings.
Classify a triangle with sides measuring 5, 7 and 8.
Answer:
Scalene
Step-by-step explanation:
Because all 3 sides have different length.
When all 3 sides have the same length: equilateral
When 2 sides have the same length but the 3rd side has a different length: isosceles
When all 3 sides have different length: scalene
What is the solution to the equation below?
4x+8 = 2(x - 4)
A x = -5
B x = 6
Cx = -8
D x = -4
Answer:
C
Step-by-step explanation:
4x +8 = 2x -8
4x = 2x - 16
2x = -16
x = -8
Find the area of the following figure. Show your work
Oatmeal is packaged in a right circular cylindrical container that has a radius of 7 centimeters and a height of 16 centimeters.
What is the surface area of this container in terms of pi?
a. 176
b. 254
c. 322
d. 440
Answer:
c. 322
Step-by-step explanation:
Surface area of cylinder = 2πr² + 2πrh.
SA in terms of π = π(2r² + 2rh) →
π(2(7)² + 2(7)(16)) →
π(2(49) + 2(112)) → π(98 + 224) → π(322)