It will take 6.14 weeks for the plant to grow the required length
The growth rate of the plant each week = 1 1/6 inches
Converting the mixed fraction into an improper fraction we multiply the whole number by the denominator and add the numerator to get the improper fraction, therefore
The growth rate of a plant in improper form = 7/6 inches
Required growth rate = 6 1/6 inches
The required growth rate in improper fraction = 43/6 inches
Number of weeks it will take the plant to grow the required length = Required length/Growth rate each week = (43/6)/(7/6)
= 43/7 weeks or 6.14 weeks
Learn more about fractions:
https://brainly.com/question/10708469
#SPJ9
Children learn to duplicate patterns when they can identify the rule, that is, when the unit repeats and the pattern becomes predictable.
a. True
b. False
Children learning to duplicate patterns when they can identify the rule, that is, when the unit repeats and the pattern becomes predictable is a true statement.
What are Patterns?
This involves the regularity or repeated way in which something is done or arranged.
Children are very inquisitive and tend to make logical connections when dealing with patterns due to their reasoning skills thereby aiding their learning process.
Read more about Patterns here https://brainly.com/question/17386984
#SPJ1
Please answer both question above and below
A trapezoid has bases that measure 9 cm and 5 cm. The height of the figure is 4 cm.
What is the area of the trapezoid?
28 cm
36 cm
45 cm
90 cm
Answer:
Step-by-step explanation:
Could u attach a clear image??
What is the equation of the line through (1,6) and (0,2)
Answer:
y=4x+2
Step-by-step explanation:
To find the slope of a line, you would do y₂-y₁/x₂x₁
This would be 2-6/0-1...
So your answer would be -4/-1
After simplifying, your slope is 4.
To write this in slope-intercept form, that would be y=4x+2
The following statistics represent weekly salaries at the Midtown Construction Company. Median $590 First quartile $560 Third quartile $625 Mode $580 83rd percentile $665 What is the most common salary?
Answer: $580
Step-by-step explanation:
Given statistics represent weekly salaries at the Midtown Construction Company:
Median $590 First quartile $560 Third quartile $625 Mode $580 83rd percentile $665
To find : most common salary
Since mode = most repeated data value in a data.
therefore , the most common salary = mode = $580
Hence, the most common salary = $580
The sum of two numbers is 31. Twice the smaller number is 11 more than the larger number. What is the value of the larger number?
Answer:
Let s = smaller number
l = larger number
s + l = 31
2s = l + 11
2(31 - l) = l + 11
62 - 2l = l + 11
3l = 51, so l = 17 and s = 14.
The larger number is 17, and the smaller number is 14.
A t-shirt is on sale for 8% off. The price after the discount is applied is $27.60.
Find the original price of the t-shirt,
The solid below is made from 1 meter cubes. Find its surface area.
The surface area of the solid is 56m²
What is surface area?Surface area is the amount of space covering the outside of a three-dimensional shape. Therefore the total surface area is the addition of all the areas.
Face 1,
area = l× b
= 4× 2 = 8m²
for face 2,
area = 5× 2
= 10m²
face 3,
area = 1+( 4×3)
= 1+12 = 13m²
face 3 = face 4
therefore, face 4 = 13m²
Face 5,
area = 3×2 = 6m²
Face 6,
area = 2+(2×2)
= 2+4 = 6m²
therefore the total surface area = 10+13+13+6+6+8
= 56m²
therefore the surface area of the solid is 56m²
learn more about surface area from
https://brainly.com/question/16519513
#SPJ1
The surface area of the solid as shown in teh diagram is 26 m².
What is surface area?The surface area of a three-dimensional object is the total area of all its faces.
To calculate the surface area of the solid, we use the formula below
Formula:
A = 2(L+W+H)+2(l+w+h).................. Equation 1Where:
A = Surface Area of the solidL = Length of the bigger cuboidW = Width of the4 smaller cuboidH = Height of the bigger cuboidl = Length of the smaller cuboidw = Width of the smaller cuboidh = Height of the smaller cuboidFrom the diagram,
Given:
L = 3 mW = 2 mH = 4 ml = 2 mw = 1 mh = 1 mSubstitute these values into equation 1
A = 2(3+2+4)+2(2+1+1)A = 2(9)+2(4)A = 18+8A = 26 m²Hence, the surface area is 26 m².
Learn more about surface area here: https://brainly.com/question/28178861
#SPJ1
Classify each triangle as a right triangle or not a right triangle. Have a great day!
Answer:
This is not a right triangle
Step-by-step explanation:
the bottom and side would have to be equal
I need help with the second part
The probability that each bill is a $1 bill is given as follows:
1/16.
How to calculate a probability?A probability is calculated as the division of the desired number of outcomes by the total number of outcomes.
The bills are replaced, hence we consider that for each trial, there is a 1/4 probability of selecting a $1 bill, as one out of the four bills are of $1.
Hence the probability that each bill is a $1 bill is obtained as follows:
p = 1/4 x 1/4
p = 1/16.
More can be learned about probability at https://brainly.com/question/24756209
#SPJ1
What language is generated by the following grammars? In each case justify your answer. a) s 0S1 | 01 b) s + S S | -SS | a c) S S (S)S | d) s a Sb S | b S a S | e e) s a | S+S | SS S*|(S)
The language is generated by the following grammars are
a) s 0S1 | 01 is string
b) s + S S | -SS | a is arithmetic expressions
c) S S (S)S | is string
d) s a Sb S | b S a S | e is string
e) s a | S+S | SS S*|(S) is expression
Grammar is a set of rules that define the structure of a language. It provides a set of guidelines for constructing sentences that are grammatically correct.
a) The grammar s -> 0S1 | 01 generates a language consisting of all strings that begin with 0, end with 1, and have any number of 0's and 1's in between.
The justification for this is that the grammar provides rules for constructing such strings by either appending a 0 and a 1 to an existing string or by directly generating the string "01".
Thus, all strings in the language can be generated by the given grammar.
b) The grammar s -> +SS | -SS | a generates a language consisting of all valid arithmetic expressions using the symbols +, -, and a single variable "a".
The justification for this is that the grammar provides rules for constructing such expressions by recursively applying the rules to generate sub-expressions.
Thus, all valid arithmetic expressions can be generated by the given grammar.
c) The grammar S -> SS(S)S | ε generates a language consisting of all strings of balanced parentheses.
The justification for this is that the grammar provides rules for constructing such strings by recursively generating balanced strings and surrounding them with parentheses.
Thus, all balanced strings of parentheses can be generated by the given grammar.
d) The grammar s -> aSbS | bSaS | e generates a language consisting of all strings that contain an equal number of "a"s and "b"s.
The justification for this is that the grammar provides rules for constructing such strings by recursively generating pairs of "a" and "b" surrounded by two new substrings.
Thus, all strings containing an equal number of "a"s and "b"s can be generated by the given grammar.
e) The grammar s -> a | S+S | SS | S* | (S) generates a language consisting of regular expressions over the alphabet {a, +, *, (, )}.
The justification for this is that the grammar provides rules for constructing regular expressions using the provided operators and the variable S.
Thus, all regular expressions over the given alphabet can be generated by the given grammar.
To know more about grammar here.
https://brainly.com/question/917076
#SPJ4
Maria has 9 boxes that each weigh 78 pound.
How many pounds do the boxes weigh altogether?
Answer:
702 pounds
Step-by-step explanation:
9 * 78 = 702
Answer:
If Maria has 9 boxes that each weigh 78 pounds, in total the boxes would weigh 702 pounds.
Step-by-step explanation:
9 x 72 = 702 pounds
Your welcome! :)
In a survey, 200 people were asked to choose one card out of five cards labeled 1 to 5. The results are shown in the table. Compare the theoretical probability and
experimental probability of choosing a card with the number 1.
The theoretical probability of choosing a card with the number is 1
enter your response here%. The experimental probability of choosing a card with the number 1 is
The theoretical probability is:
less than
greater than
equal to
the experimental probability.
Answer:
Step-by-step explanation:
Experimental probability: 16/200 or 8%
Theoretical probability: 40/200 or 20%
8% < 20%
Therefore the theoretical probability is greater than the experimental probability.
Hope that helped! :)
Rod's quiz grades are 72, 74, 89, and90. What score on a fifth quiz will make his average woz grade at least 84?
Answer: He would need at least a 95
Step-by-step explanation:
First I found the current average by adding 72, 74, 89, and 90 which equals 325.
Second, I worked backwards to see what the sum of his grades had to be by multiplying 84 times 5. 84 times 5 = 420
Now that we have both the current and the target sum, we find the difference by doing 420-325 which equals 95.
Which two triangles are congruent? Complete the congruence statement.
Answer:
△ VUW = △ KJI
Step-by-step explanation:
In △ VUW, △ KJI,
UW = JI ( Sides are equal )
∠ VUW = ∠ KJI ( From the diagram )
∠ UWV = ∠ KIJ ( From the diagram )
By ASA rule of congruency,
△ VUW is congruent to △ KJI.
RECT is a square (not drawn to scale). RA = 13^2 -3x-3 inches and AC = x(x+2).
A. Find the length of ET to the nearest tenth
B. Find the length of RT to the nearest tenth
The length of ET and the length of RT to the nearest tenth will be 268.3 units and 198.7 units, respectively.
What is the solution to the equation?The allocation of weights to the important variables that produce the calculation's optimum is referred to as a direct consequence.
RECT is a square (not drawn to scale).
RA = 13² - 3x - 3
AC = x(x + 2)
The diagonals of the square will be RC and ET. And "A" is the intersection point. Then the equation is given as,
RA = AC
13² - 3x - 3 = x(x + 2)
169 - 3x - 3 = x² + 2x
x² + 5x - 166 = 0
x = [- 5 ± √(5² - 4 × 1 × (-166))] / (2 × 1)
x = 10.62, -15.62
Then the length of AC is given as,
AC = 10.62 (10.62 + 2)
AC = 134.13 units
The diagonals of the square are congruent. Then we have
ET = RC
ET = 2 AC
ET = 2 x 134.13
ET = 268.3 units
Then the length RT is given as,
RT = ET / √2
RT = 198.7 units
The length of ET and the length of RT to the nearest tenth will be 268.3 units and 198.7 units, respectively.
More about the solution of the equation link is given below.
https://brainly.com/question/545403
#SPJ1
Write the following number in standard form.
eight hundred twenty-six and four hundredths
8,264
826.4
826.004
826.04
Answer:
D
Step-by-step explanation:
hope this helps :3
Answer:
hundreds
Step-by-step explanation:
Remember the place values:
thousands 8
hundreds 2
tens 1
ones 6
.
tenths 4
The 2 is in the hundreds place.
3.3x0.14 = ?
hazgxjklkkspkoxdh
Answer:
Step-by-step explanation:
0.462
Answer:
0.462 :) hope this helps and please put me as brainiest thankyou !!
Step-by-step explanation:
Given: Lines a and b are parallel and line c is a transversal. Prove: 2 is supplementary to 8 What is the missing reason in the proof? Statement Reason 1. a || b, is a transv 1. given 2. ∠6 ≅ ∠2 2. ? 3. m∠6 = m∠2 3. def. of congruent 4. ∠6 is supp. to ∠8 4. def. of linear pair 5. ∠2 is supp. to ∠8 5. congruent supplements theorem corresponding angles theorem alternate interior angles theorem vertical angles theorem alternate exterior angles theorem
Answer:
vertical angles theorem
Step-by-step explanation:
Just took the test
Answer:
A. corresponding angles theorem
Step-by-step explanation:
Maria earned $60 from babysitting. She donated $6. How much money does Maria donate for every dollar that she earns?
A nine-month old baby drank an average of 7 1/4 oz during each of four feedings. If the baby drank 7 1/2oz, 7 3/8oz, & 6 3/8oz in the first three feedings, how many ounces were taken during the fourth feeding?
A) 7 3/8
B) 6 3/8
C) 6 3/4
D) 7 3/4
Show work please
Answer: D) 7 3/4
Step-by-step explanation:
With averages, we add all the values and divide by the number of values. Here, we know three out of the four days, let's label the day we don't know x. There are four days, so we can divide by four. 7 1/4 is the average, so we can set the equation equal to 7 1/4.
7 1/4 = (7 1/2 + 7 3/8 + 6 3/8 + x) / 4
Let's multiply both sides by 4 to get rid of the fraction. Let's also add what is in the parentheses
29 = 21 1/4 + x
Now we can isolate x by subtracting 29-21 1/4
so
x = 7 3/4 thus the answer is D
Answer:
D) 7 3/4
Step-by-step explanation:
Let x = amount of last feeding.
7 1/4 = (7 1/2 + 7 3/8 + 6 3/8 + x)/4
4 × 7 1/4 = 7 1/2 + 7 3/8 + 6 3/8 + x
28 + 1 = 7 4/8 + 7 3/8 + 6 3/8 + x
29 = 20 10/8 + x
(20 10/8 is the same as 20 + 10/8 = 20 + 8/8 + 2/8 = 20 + 1 + 1/4 = 21 + 1/4 = 21 1/4)
29 = 21 2/8 + x
29 = 21 1/4 + x
x = 29 - 21 1/4
x = 28 4/4 - 21 1/4
x = 7 3/4
Answer: 7 3/4
PLEASE HELP!!!
Does the graph or table have a bigger value
The table shows 45x76 and the graph shows a dot on 3425
A:Table
B:Graph
Answer:
B
Step-by-step explanation
B because 45 x 76 =3420
Answer:
B
Step-by-step explanation:
Because I need points
what do i need to subtract from 83/10 to make 8
Answer:
0.3
Step-by-step explanation:
Let x be what you need to subtract
\(\frac{83}{10} = 8.3\) Plug x in: 8.3 - x = 8Re-arrange: 8.3 - 8 = x8.3 - 8 = 0.3So, you need to subtract 0.3 from 83/10 to make 8.I hope this helps!
Answer:
3/10
Step-by-step explanation:
83/10 - 3/10 = 80/10 = 8
16. What product is represented with the following Algebra Tiles?
(2x²+6) (4x+6)
(4x + 4) (6x + 6)
(2x + 2)(2x + 3)
4x+10
The product that is represented with the algebra tiles is (2x + 2)(2x + 3)
Finding the product that is represented with the algebra tiles?From the question, we have the following parameters that can be used in our computation:
The algebra tiles
Representing the red tile with digit 1
So, we have
Vertical = 2x + 1 + 1 = 2x + 2
Horizontal = 2x + 1 + 1 + 1 = 2x + 3
The product that is represented with the algebra tiles is then calculated as
Product = Vertical * Horizontal
So, we have
Product = (2x + 2)(2x + 3)
Hence, the product is (2x + 2)(2x + 3)
Read more about algebra tiles at
https://brainly.com/question/28147007
#SPJ1
Whirly Corporation’s contribution format income statement for the most recent month is shown below:
Total Per Unit
Sales (8,700 units) $ 287,100 $ 33.00
Variable expenses 165,300 19.00
Contribution margin 121,800 $ 14.00
Fixed expenses 55,600
Net operating income $ 66,200
Required:
(Consider each case independently):
1. What would be the revised net operating income per month if the sales volume increases by 40 units?
2. What would be the revised net operating income per month if the sales volume decreases by 40 units?
3. What would be the revised net operating income per month if the sales volume is 7,700 units?
Last month when Holiday Creations, Incorporated, sold 37,000 units, total sales were $148,000, total variable expenses were $115,440, and fixed expenses were $35,800.
Required:
1. What is the company’s contribution margin (CM) ratio?
2. What is the estimated change in the company’s net operating income if it can increase sales volume by 500 units and total sales by $2,000? (Do not round intermediate calculations.)
1. Revised Net Operating Income = $66,760
2. Revised Net Operating Income =$64,640
3. Revised Net Operating Income =$52,
1. If the sales volume increases by 40 units:
So, New Sales = 8,700 units + 40 units = 8,740 units
and, New Contribution Margin =
= $14.00 x 8,740 units
= 122, 360
New Fixed Expenses remain the same at $55,600
Then, Revised Net Operating Income
= New Contribution Margin - New Fixed Expenses
= 122360 - 55600
= 66,760.
2. If the sales volume decreases by 40 units:
New Sales = 8,700 units - 40 units = 8,660 units
New Contribution Margin
= 14 x 8660
= 121,240
New Fixed Expenses remain the same at $55,600
Then, Revised Net Operating Income
= New Contribution Margin - New Fixed Expenses
= 65,640
3. If the sales volume is 7,700 units:
New Sales = 7,700 units
New Contribution Margin
= 14 x 7700
= 107,800
New Fixed Expenses remain the same at $55,600
Then, Revised Net Operating Income
= New Contribution Margin - New Fixed Expenses
= 52, 200
Learn more about Income Format here:
https://brainly.com/question/15312142
#SPJ1
i need help with my homework PLEASE CHECK WORKNUMNER 3
3) We have a model that relates the number of trees and time, expressed in months (m).
This relation is:
\(N(m)=4384*2^{-m}\)We can find the month m where the number of trees is N(m) = 1096 as:
\(\begin{gathered} N(m)=1096 \\ 4384*2^{-m}=1096 \\ 2^{-m}=\frac{1096}{4384} \\ 2^{-m}=0.25 \\ 2^{-m}=0.25 \\ -m*\log_2(2)=\log_2(0.25) \\ -m*1=-2 \\ m=2 \end{gathered}\)Answer: The number of trees will be 1096 after m = 2 months [Option A]
no link or bot answer right
Answer:
1/6^8
Step-by-step explanation:
the answer is the one right next to the submit answer
a. When the relationship for a regression is positive, an X score above the mean will correspond to a Y score (above/below) the mean.b. When the relationship for a regression is negative, an X score above the mean will correspond to a Y score (above/below) the mean.
(a) For positive Linear Regression , Y score will be above mean .
(b) For negative Linear Regression , Y score will be below the mean .
What is Linear Regression ?
The term Linear regression analysis is used to predict the value of one variable based on the value of another variable.
Part(a)
when the relationship of regression between two variables is positive then if one variable increase the other variable also increases ,
So , if the the x score is above the mean then the Y score will be also above the mean .
Part(b)
when the relationship of regression between two variables is negative then if one variable increase the other variable decreases ,
So , if the the x score is above the mean then the Y score will be below the mean .
Therefore , (a) Y score will be above the mean .
(b) the Y score will be below the mean .
Learn more about Linear Regression here
https://brainly.com/question/15682110
#SPJ4
Write the equation of the line that passes through the points (2,-8)(2,−8) and (-1,4)(−1,4). Put your answer in fully simplified point-slope form, unless it is a vertical or horizontal line.
The simplified point-slope form is y = 2x -12
A simple definition of point-slope form is a line equation written with only one point on the line and the slope of the line. (x, y) is the point form, and the slope is the rise over run or the ratio of the change in y values to the change in x values.
Given points (2,-8) and (-1,4)
We have to determine the answer in point-slope form
The slope formula provides the slope of the line:
m = (y2 -y1)/(x2 -x1)
m = (4 -(-8))/(-1-2) = 12/-3 = -4
the point-slope formula is given by
y-y1 = m(x-x1)
In terms of this formula:
m = 2
y1 = -8
x1 = 2
Let's simplify by plugging these values into the point-slope formula:
y - y1 = m (x - x1)
y - (-8) = (2)(x - 2)
y + 8 = 2(x - 2)
y + 8 = 2x -4
y = 2x -12
Therefore the simplified point-slope form is y = 2x -12
To learn more about point slope form visit
https://brainly.com/question/21605900
#SPJ1
Can anyone help me solve this or atleast give me the answers
The measure of the angles formed between parallel lines and their transversals indicates;
(c)(e)(a)(d)(b)(f)(e)(a)m∠MNP = 56°m∠WXZ = 130°9. m∠3 = 97°, m∠5 = 97°, m∠10 = 97°, m∠7 = 83°
What are parallel lines?Parallel lines are lines that maintain the are equidistant from each other and have the same slope on the coordinate plane.
The angles formed between the parallel lines and their transversal are;
1. Alternate exterior angles; (c) ∠9 and ∠16
2. Supplementary angles (e); ∠15 & ∠11
3. Alternate interior angles (a); ∠10 & ∠15
4. Vertical angles (d); ∠12 & ∠15
5. Corresponding angles (b); ∠9 & ∠11
6. None (f); ∠9 & ∠15
7. Supplementary angles (e); ∠13 & ∠14
8. Alternate interior angles; ∠14 & ∠11
9. The alternate interior angles theorem indicates that we get;
(a + 28) = 2·a
Therefore; 2·a - a = 28
2·a - a = a, therefore;
a = 28
∠MNP = (a + 28)° = (28 + 28)° = 56°
10. The alternate interior angles theorem indicates that we get;
5·y° = (2·y + 78)°
Therefore;
5·y - 2·y = 78
3·y = 78
y = 78/3 = 26
The measure of the angle WXZ, m∠WXZ = 5·y°
Therefore; m∠WXZ = 5 × 26 = 130
m∠WXZ = 130°
9. ∠2 ≅ ∠3 (Vertical angles theorem)
m∠2 = m∠3
Therefore; m∠3 = m∠2 = 97°
m∠5 + m∠6 = 180° (Linear pair angles theorem)
m∠5 + 83° = 180°
m∠5 = 180° - 83° = 97°
∠10 and ∠2 are corresponding angles, therefore;
m∠10 = m∠2 = 97°
∠7 and ∠6 are vertical angles, therefore;
m∠7 = m∠6 = 83°
∠9 and ∠3 are same side interior angles, therefore;
m∠9 + m∠3 = 180°
m∠9 = 180° - m∠3
m∠9 = 180° - 97° = 83°
∠8 and ∠6 are linear pair angles, therefore; m∠8 = 180° - 83° = 97°
∠16 and ∠6 are same side exterior angles, therefore;
m∠16 + m∠6 = 180°
m∠16 = 180° - 83° = 97°
Learn more on angles formed between parallel lines and their transversals here: https://brainly.com/question/10253728
#SPJ1
Which point lies inside the circle with equation (x − 2)2 + (y + 3)2 = 4? a(0, −3) b (2, 0) c (2, −5) d(2, −4)
Answer:
d. (2, -4)
Step-by-step explanation:
The equation describes a circle centered at (2, -3) with a radius of 2.
Any points with an x-coordinate of 2 must have a y-coordinate in the interval -3±2 = (-1, -5) to be inside the circle. One such point is ...
(2, -4) . . . . choice D
__
The attached graph shows the locations of the answer choices.