Norman plants a garden each
year. This year, his garden
produced 40% fewer tomatoes
than it did last year. If Norman’s
garden produced 30 tomatoes
this year, how many tomatoes
did his garden produce last year?

Answers

Answer 1

Answer:

50

Step-by-step explanation:

if last year 100% of the tomatoes were produced and this year 40% less were produced then that would mean 60% of tomatoes were produced this year.

if 60% = 30 then

100% = ?

100x30÷60


Related Questions

This year, a small business had a total revenue of $40,700. If this is 26% less than their total revenue the previous year, what was their total revenue the previous year?

Answers

26% less than a value is best found by multiplying by (100 - 26)% = 74% = 0.74
So previous year x 0.74 = 40,700
Previous year = 40,700 / 0.74 = $55,000

46. Geometry The volume of a cube is a function of the length of a side of the cube. Write a function for the volume of a cube. Find the volume of a cube with a side 13.5 cm long.​

Answers

Answer:

1/3×22/7×r^2h

Step-by-step explanation:

the volume =1/3 ×22/7×r^2×13.5

PLEASE HELP MAX POINTS AND BRAINLIEST!!!
(04.03 MC)
A biologist is studying the growth of a particular species of algae. She writes the following equation to show the radius of the algae, f(d), in mm, after d days:

f(d) = 7(1.06)d

Part A: When the biologist concluded her study, the radius of the algae was approximately 13.29 mm. What is a reasonable domain to plot the growth function? (4 points)

Part B: What does the y-intercept of the graph of the function f(d) represent? (2 points)

Part C: What is the average rate of change of the function f(d) from d = 4 to d = 11, and what does it represent? (4 points)

Answers

#1

As d is days

So days can't be negative

hence domain is W or Whole numbers set.

But according to the equation

y=7(1.06)^d13.29=7(1.06)^d1.06^d=1.898dln1.06=ln1.898d=1.79

Round to next whole as it's no of days

d=2

Domain=[2,oo)

#b

Put d=0

f(0)

7(1.06)^(0)7

It passes through (0,7)

But 0 is not in domain ,hence no y intercept in real

#C

f(11)

7(1.06)¹¹13.28

f(4)

7(1.06)⁴8.83

Rate of change

f(11)-f(4)/11-413.28-8.83/70.6

It represents change in radius

#5 In *triangle* ABC, AB = 9 and BC = 15. What is the range the possible lengths for CA?
Why?

Answers

CA must be in the range [15 - 9, 15 + 9] = [6, 24]
For the line segments to form a triangle the length of CA cannot be less the the difference between the other sides or greater than their sum.
At either extreme the three points A, B and C will be co-linear thus forming a triangle with area of zero

Complete the statements about the cross sections of cylinders and cones.
The cross section parallel to the base of a cone is a
The cross section parallel to the base of a cylinder is a
The cross section perpendicular to the base of a cone is a
The cross section perpendicular to the base of a cylinder is a

Answers

The cross-section parallel to the base of a cone is a circle

The cross-section parallel to the base of a cylinder is a circle

The cross-section perpendicular to the base of a cone is a triangle

The cross-section perpendicular to the base of a cylinder is a rectangle

can someone please help and explain these problems ??

Answers

Answer:

AAA

Step-by-step explanation:

yesss

Which of the following points is NOT visible if the viewing window of a graphing utility is set at:
Xmin : 6
Xmaz: 6
Ymin : —6
Ymaz : 6

Answers

The points D(-7, 5), E(-8, -3), and H(10, -5) will not be visible the answers are D, E, and H.

What is graphing utility?

A graphing calculator is a portable computer that can plot graphs, solve multiple equations at once, and carry out other variable-related activities.

We have points shown in the coordinate plane.

As the window of a graphing utility is set at:

X(min) : -6

X(max): 6

Y(min) : -6

Y(max) : 6

The points out of 6 will not be visible.

We can draw a square as shown in the attached picture.

The points D(-7, 5), E(-8, -3), and H(10, -5) will not be visible.

Thus, the points D(-7, 5), E(-8, -3), and H(10, -5) will not be visible the answers are D, E, and H.

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The two dot plots below compare the forearm lengths of two groups of schoolchildren:

Two dot plots are shown one below the other. The title for the top dot plot is Forearm Length, Group A and the title for the bottom plot is Forearm Length, Group B. Below the line for each dot plot is written Length followed by inches in parentheses. There are markings from 9 to 12 on each line at intervals of one. For the top line there are 3 dots above the second mark, 4 dots above the third mark and 3 dots above the fourth mark. For the bottom line there are 3 dots above the first mark, 5 dots above the second mark, and 2 dots above the third mark.

Based on visual inspection of the dot plots, which group appears to have the longer average forearm length?

Group A, because seven children have a forearm length longer than 10 inches
Group B, because two children have a forearm length longer than 10 inches
Group A, because one child in the group has the least forearm length of 9 inches
Group B, because three children in the group have the least forearm length of 9 inches

Answers

Answer:

Group A, because seven children have a forearm length longer than 10 inches

Step-by-step explanation:

Create the dot plots based on the given information (please see attached images).

Group A = blue dots

Group B = red dots

From inspection of the attached dot plots, we can see that Group A appears to have the longer average forearm length.  This is because 7 children have a forearm length of longer than 10 inches.

To calculate the average forearm length, sum all data values and divide by the total number of data values.

[tex]\textsf{Average of Group A}=\dfrac{ 3 \times 10 + 4 \times 11 + 3 \times 12}{10}=11[/tex]

[tex]\textsf{Average of Group B}=\dfrac{ 3 \times 9 + 5\times 10+ 2\times 11}{10}=9.9[/tex]

Thus proving that Group A has the longer average former length.

According to given text data

Average of both groups

A:-

10(3)+11(4)+12(3)/1030+44+36/1066+44/10110/1011

B:-

9(3)+5(10)+11(2)/1027+50+22/1049+50/1099/109.9

Group A has bigger average

Select all the correct answers.
Which expressions are equal to

Answers

Given the data from the question, the expressions that are equal to 10 are

10³ ⋅ 10²10 ⋅ 10 ⋅ 10 ⋅ 10 ⋅ 10

To determine the expressions that are equal to 10⁵, we shall evaluate the options given from the question.

How to evaluate (10⁴)¹

Recall

(Aᵐ)ⁿ = Aᵐⁿ

Thus,

(10⁴)¹ = 10⁴

How toevaluate 10³ ⋅ 10²

Recall

Aᵐ ⋅ Aⁿ = Aᵐ⁺ⁿ

Thus,

10³ ⋅ 10² = 10³⁺²

10³ ⋅ 10² = 10⁵

How to evaluate 1 / 10⁵

Recall

1 / Aᵐ = A⁻ᵐ

Thus,

1 / 10⁵ = 10

How to evaluate (10³)²

Recall

(Aᵐ)ⁿ = Aᵐⁿ

Thus,

(10³)² = 10

How to evaluate 10 ⋅ 10 ⋅ 10 ⋅ 10 ⋅ 10

Recall

Aᵐ ⋅ Aⁿ = Aᵐ⁺ⁿ

10 ⋅ 10 ⋅ 10 ⋅ 10 ⋅ 10 = 10¹⁺¹⁺¹⁺¹⁺¹

10 ⋅ 10 ⋅ 10 ⋅ 10 ⋅ 10 = 10⁵

SUMMARY

(10⁴)¹ = 10⁴

10³ ⋅ 10² = 10⁵

1 / 10⁵ = 10⁻⁵

(10³)² = 10⁶

10 ⋅ 10 ⋅ 10 ⋅ 10 ⋅ 10 = 10⁵

From the above illustrations, only 10³ ⋅ 10² and 10 ⋅ 10 ⋅ 10 ⋅ 10 ⋅ 10 are equal to 10⁵

Complete question

See attached photo

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The loudness, L, measured in decibels (Db), of sound intensity, I, measured in watts per square meter, is defined as L = 10 log StartFraction I Over I 0 EndFraction, where I 0 = 10 Superscript negative 12 and is the least intense sound a human ear can hear. What is the approximate loudness of a dinner conversation with a sound intensity of 10–7?

Answers

The correct option is Option D: the approximate loudness of a dinner conversation will be 50Db with a sound intensity 10⁻⁷.

The loudness L, ( which is measured in decibels (Db)), of the sound of the intensity I, can be calculated in watts per square meter,

L = 10 log(I/I₀)  

where I₀ = 10⁻¹²  which is the least intensity that a human can hear.

The sound intensity of a dinner conversation= I= 10⁻⁷

Loudness L of that conversation = 10 log (10⁻⁷/10⁻¹²)

= 10 log(10⁻⁷⁻⁽⁻¹²⁾)

= 10 log(10⁻⁷⁺¹²)

= 10 log(10⁵)

= 10*5

= 50 Db

Therefore the correct option is Option D: the approximate loudness of a dinner conversation will be 50Db with a sound intensity 10⁻⁷.

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answer both questions please

Answers

Answer: The two imaginary solutions with rational coefficients are +/- 4i and the two imaginary solutions with irrational coefficients are +/- 1.414213562i.

Step-by-step explanation:

I would recommend using pascal's triangle to solve this problem.

*Note: This is more of a quick answer, I can show a detailed step-by-step procedure if you need, just comment.

Domain and range of f(x)=3x^2-9x+8

Answers

The range of the function lies between (0,8) to (1.5,1.25).

What are domain and range?

Range and Domain. The range of values that we are permitted to enter into our function is known as the domain of a function. The x values for a function like f make up this set (x). A function's range is the collection of values it can take as input. After we enter an x value, the function outputs this sequence of values.

The given function is:-

f(x) = 3x² -9x + 8

The value of the range will be from (0,8) to ( 1.5,1.25). When we plot the graph of the function the value of the range lies between the points (0,8) to ( 1.5,1.25). The graph is attached with the answer.

The domain of the function will be all the values of the real numbers for the function ranges from ( 0, ∞ ).

Therefore the range of the function lies between (0,8) to (1.5,1.25).

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What is
-8/15of21/12

Answers

32
——- (after reducing the fraction)
105
Explanation: find reciprocal of divisor:
21/12 : 12/21
Multiply dividend:
8/15 divide21/12=8/15x12/21=
8 x12
———= 96/315
15x21

What are the solutions of x^2-3x+3=0

Answers

Therefore the solution to this equation is imaginary given by x = [tex]\rm \dfrac { 3 \pm \sqrt{-3}}{2}[/tex]

What is a Quadratic Equation ?

A Quadratic equation is an equation that can be written in the form of

ax² +bx+c = 0

The solution of the given quadratic equation

x² -3x +3 = 0

the roots of the equation is given by

[tex]\dfrac { -b \pm \sqrt{b^2 -4ac}}{2a}[/tex]

here a = 1 , b = -3 , c = 3

Substituting the values

The solution is

[tex]\rm \dfrac { 3 \pm \sqrt{(-3)^2 -4*1 *3}}{2}[/tex]

Therefore the solution to this equation is imaginary

given by

x = [tex]\rm \dfrac { 3 \pm \sqrt{-3}}{2}[/tex]

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Which point has coordinates (5,-7pi/6)?

Point A
Point B
Point C
Point D

Answers

The answer is Point C

PLEASE HELP ASAP!!!!
The polar equation r=7sin(2θ) graphs as a rose.

What is the length of the petals of this rose?

Enter your answer in the box.

Answers

Answer:  7 units

============================================================

Explanation:

r = distance from the origin (0,0) to a point on the polar curve

To find the length of the flower petal, we need to max out r (i.e. get it as large as possible).

Recall that sin(x) maxes out at 1, so that also applies to sin(2θ) as well.

Therefore, r = 7*sin(2θ) maxes out at r = 7*1 = 7 and this is the length of each petal. Basically it's the number out front of the sine term.

The graph is shown below. To type the symbol θ into desmos, you need to type "theta" without quotes.

Directions: Find the inverse of each number.

Additive

-2 =
18 =
-30 =
2/5 =

Multiplicative

8/9 =
12/15 =
-6 =
10 =

Answers

Answer:

Additive

-2 = 2

18 = -18

-30 = 30

2/5 = -2/5

Multiplicative

8/9 = 9/8

12/15 = 15/12

-6 = -1/6

10 = 1/10

Step-by-step explanation:

an additive inverse is a number you must add to another number to get 0

(think of it as the negative version of the number)

{but WHY? In math, you can imagine comparing numbers on a number line. If we are finding the opposite of a number, we want to find the same distance from 0, but on the opposite side of 0. So, 2 would be two to the right of 0, -2 would be two to the left of 0}

-2 + 2 = 0

18 - 18 = 0

-30 + 30 = 0

2/5 - 2/5 = 0

a multiplicative inverse is a number that you multiply by another number to get 1.

We are finding the "reciprocal" of a number; you are essentially flipping it as a fraction

(reciprocal of 2 = 1/2  {remember, 2 is the same thing as 2/1 }   ; reciprocal of 1 / 8 = 8)

note: reciprocal is being used interchangeably with multiplicative inverse here

8/9 · 9/8 = 1

12/15 · 15/12 = 1

-6 · -1/6 = 1                     {-6  = -6/1}

10 · 1/10 = 1                    {10 = 10/1}

hope this helps!! have a lovely day :)

Answer:

Additive: number that you add to get 0

2

-18

30

-2/5

Multiplicative: number that you multiply to get 1

9/8

15/12

-1/6

1/10

hope this is helpful!!  ^u^

What is this Simplify as √16y¹6

Answers

Answer:

[tex]6y^1^6[/tex]

Step-by-step explanation:

I hope this has Helped :)

What is 10 1/2÷214 ?

Answers

Answer:

21/428 or 0.04 906542056074...

Step-by-step explanation:

The geometric sequence graphed shows the number of mold spores in a Petri dish per day (please help!)

Answers

Answer:

f(1) = 2

f(n) = 2 × f(n - 1) , n ≥ 2

Step-by-step explanation:

the point of coordinates (1 , 2) is on the graph

Then

f(1) = 2

…………………………

We notice that :

f(2) = 4

f(3) = 8

f(4) = 16

16/8 = 8/4 = 4/2 = 2/1 = 2

________________________

This means the common ratio

of the geo sequence = 2

Hence ,

f(n) = 2 × f(n - 1)

Answer: f(n) = 2 × f(n - 1) , n ≥ 2

Step-by-step explanation:

your favorite basketball player has an 90% free-throw percentage. In the next game that s/he plays they shoot 12 free throws. What is the probability that they make all 12

Answers

The probability that favourite basketball player make all 12 is 0.

Give 90% free- throw percentage of favourite basketball player and he has taken 12 shots in the game.

Probability is the chance of happening an event among all the events possible. It lies between 0 and 1.

This is a binomial probability question "makes" is what some writer call a "success". In the binomial probability distribution, the probability of r successes in trials is :

=[tex]nC^{r}[/tex][tex]p_{r}p^{r}(1-p)^{n-r}[/tex]

p is the probability of "success" n p r=n!/((n-r)!

n [tex]p_{n}[/tex]=0

In this problem , n=12, r=12,p=0.9. the probability of exactly 12 made shots out of 12 attempted is 12[tex]C_{12} (0.90)^{12} (1-0.90)^{0}[/tex].

=12!/12!(12-12)!*[tex](0.90)^{12}(0.10)^{0}[/tex]

=0

Hence the probability that they make all 12 is 0.

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Identify the value of a and the length of each secant segment.

Answers

x=  10, NL= 8 , NP = 12

What is secant?

A secant is a line that intersects a curve at a minimum of two distinct points.

Using secant theorem,

NL* NM = NP* NO

(3+5)*3 = (2+x)*2

24=  (2+x)*2

12= 2+x

x= 12-2

x= 10

So, NP= 2+x

     NP = 12

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Select the correct answer from each drop-down menu. (Will give brainliest)


(Picture below options are 19.5, 29, 58 for both multiple choice)

Answers

The angle BAC will be 29 and the angle BOC will be 58.

What is the circle theorem?

The angle in a circle's centre is twice that at its perimeter when two angles are subtended by the same arc. So, angle AOB = 2 angle ACB. Angles that the same arc subtends at its circumference are equal. As a result, angles inside a section are equal.

Here the given angle is ∠BDC = 29 so from the given theorem the angle BEC will be equal to the angle BDC.

∠BDC = 29

The centre angle BOC will be twice the angle at the circumference so the angle will be twice.

∠BOC = 59

Therefore the angle BAC will be 29 and the angle BOC will be 58.

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3. Use the following diagram to solve for x.

Answers

The value of x from the given diagram is -6

Lines and angles

Line is defined as the distance between two points. Given the line RP with the following measures

RP = 17

RQ = x + 14

QP = x + 15

Using the expression

RP = RQ + QP

Substitute

17 = x + 14 + x + 15

17 = 2x + 29

Determine the value of x

2x = 17 - 29
2x= -12

x = -6

Hence the value of x from the given diagram is -6

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the photography club has 36 memebers, 16 girls and 20 boys. what is the ratio of girls to boys in the photography club?


A. 5:6
B. 4:5
C. 5:4​

Answers

Answer:

4:5

girls:boys

16:20

divide both by 4

4:5

Answer: B) 4:5

Step-by-Step Solution:

Total No. Of Members = 36
No. Of Girls = 16
No. Of Boys = 20

Ratio of Girls to Boys
= 16/20
= 8/10
= 4/5
=> 4:5

Correct Option is C) 4:5

Hi, please help me find the volume of this sphere :)

Answers

Answer: 8788

Step-by-step explanation:

Use the formula and use 3 for pi

13cm is the radius

[tex]13^{3\\[/tex] = 2197

2197 x 3 = 6591

6591 x 4/3 = 8788

Fill in the table.
x y
-4 5
-2 3
0 1
2 -1
4 -3


This is a linear function which means that the domain and range are:
Domain:
Range:
*Reminder: another way to write negative infinity to positive infinity is
"all real numbers"

Answers

The domain of the linear function is a real number, and the range of the linear function is also a real number.

What are domain and range?

The domain means all the possible values of x and the range means all the possible values of y.

The table is given below.

  x               y

 -4              5

 -2              3

  0              1

  2             -1

  4             -3

Then the linear function will be

y – 1 = [(5 – 1) / (- 4 – 0)] (x – 0)

y – 1 = -x

x + y = 1

Then the domain of the linear function is a real number and the range of the linear function is also a real number.

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factorise
answer is (a+c) (ca-b²)​

Answers

Answer:

Step-by-step explanation:

Justin and elena each launched a toy rocket into the air. the height of justin’s rocket is modeled by the equation h = –16t2 60t 2. elena launched his rocket from the same position, but with an initial velocity double that of justin’s. which equation best models the height of elena’s rocket? h(t) = at2 vt h0 h = –16t2 60t 4 h = –32t2 120t 4 h = –32t2 60t 2 h = –16t2 120t 2

Answers

I don’t know you just have to add and keep adding them

The diagonals of parallelogram abcd intersect at point e. to prove that bae= dce, all of the following could be used, except for which

a.the sum of measures of the interior angles of abcd is 360 degrees
b. abc = cda by sss
c. abc = cde by sss
d. given two parallel lines by transversal, alternates interior angles are congruent.

Answers

The only option that cannot be used to prove that the diagonals of parallelogram abcd intersect at point e is; Option C

How to determine quadrilateral proof?

A) The sum of the interior angles of any quadrilateral is 360° and so this is true about the parallelogram.

B) AB = CD and BC = DA from opposite sides of a parallelogram are equal. Also AC = CA because of reflexive property of congruence. Thus, ∠ABC ≅ ∠CDA

C) This is not true because ∠ABC ≅ ∠CDA instead of ∠ABC ≅ ∠CDE.

D) This is true because of the definition of a transversal.

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Which of the following creates weatherforecasts by processing data from avariety of weather stations?A. atmospheric pressureB. forecasting computerC. wind speedD. precipitation What countries had claims in the Ohio valley?hey u guys aive? You wish to retire in 13 years, at which time you want to have accumulated enough money to receive an annual annuity of $28,000 for 18 years after retirement. during the period before retirement you can earn 9 percent annually, while after retirement you can earn 11 percent on your money. what annual contributions to the retirement fund will allow you to receive the $28,000 annuity A local baseball stadium has a total of 2,497 seats, with 210 seats reserved for season ticket holders.If x represents the number of non-reserved seat tickets sold for the upcoming game, which of the following equations can be used to find the number of seats available for the upcoming game?y = 2,497 - 210xB. y = 2,287 - 210xC. y = 2,287 - xD. y = 2,497 - x Which reasons below explain why the Anti-Federalists objected to the Constitution? Which confirming message communicates the highest form of value? When passing a list of parameters to a stored procedure by name, you can omit optional parameters by: identify the places where there is an unconformable contact. What is history???? what is the wavelength of a microwave with a frequency of 2450 mhz Determine the x-intercept of the following equation.(-x-2)(x-3)=y imagine your lifting a toy car above your head and then holding it stationary above your head. While it is stationary what forces do you think act on the toy car When starting to produce podcasts, one of the greatest expenses you will have initially is for:A. A microphone B. An advertising budgetC. Increasing bandwidth D. Video production If PR = 4x 2 and RS = 3x 5, which expression represents PS? A health care worker has 2 documented doses of MMR, but a post-vaccination titer for measles is negative. Does CDC recommend a 3rd dose of MMR for this person Ax^2+bx+c=2(x-1)(2x+3)+(x^2-4x+2) _____ is the art and science of trying to get people to do what you want (dok 1, standard standard 2.1.n evaluate internal and external influences that affect food choices.) testimonial salience persuasion repetition According to this passage, how did leopold justify his treatment of the congolese people? the congolese were an inferior race who needed harsh treatment to learn how to work. the congolese had too many resources and had become lazy because of their wealth. the congolese were not treated harshly, compared to the american indians. the congolese people could never learn how to work, so they must be punished. Thomas Jefferson, George Washington, James Madison, and others took the brave steps of creating a government based on which of the following Enlightenment values A new building is formed by a square prism with a square pyramid on top. The base has an edge length of 60 feet, and the height of the prism is 150 feet. The height of the pyramid is one-sixth the height of the prism. What is the surface area of the exterior of the building rounded to the nearest hundred square feet?