Allie bought a tomato plant that was 16 centimeters (cm) tall. The plant is growing 1.5 centimeters per day. The height, H, of the plant can be modeled by H (d)-16+1.54,
where d represents the number of days since she bought the plant.
Select all the true statements.
OH(22) 4
OH(22)-49
O The tomato plant is 20 cm tall 22 days after Alle bought it.
O The tomato plant is 65 cm tall 22 days after Alle bought it.
O The tomato plant is 49 cm tall 22 days after Allie bought it.
O The tomato plant grows an additional 4 cm, 22 days after Allie bought it.
0
Answers
The tomato plant is 49 cm tall 22 days after Allie bought it.
What are Functions?
A function from a set X to a set Y allocates precisely one element of Y to each element of X. The set X is termed the domain of the function and the set Y is called the codomain of the function.
The function is H(d) = 16 + 1.5d
Since, all the options talks aabout the height of the plant after 22 days
We need to put the value of d as 22 in the function for calculating the height of the function
H(22) = 16 + 1.5(22)
H(22) = 16 + 33 = 49
The tomato plant is 49 cm tall 22 days after Allie bought it.
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Related Questions
Valeria thinks that smoking suppresses a person's appetite so they will weigh less than those who do not smoke. She randomly collected the weights of some smokers and nonsmokers and created the graph shown.
Which statement correctly compares the distributions?
Responses
A Since the range of nonsmokers is 13 lbs more than that of smokers there is much more variability in their weights.Since the range of nonsmokers is 13 lbs more than that of smokers there is much more variability in their weights.
B On average smokers weighed 35 pounds more than nonsmokers.On average smokers weighed 35 pounds more than nonsmokers.
C Almost half of the smokers weighed more than all of the nonsmokers in the sample.Almost half of the smokers weighed more than all of the nonsmokers in the sample.
D On average, nonsmokers weighed 13 lbs less than smokers.On average, nonsmokers weighed 13 lbs less than smokers.
E Even though smokers on average weighed more than nonsmokers the variability in their weights was about the same.
Answers
The correct statement that compares the distributions is:
D On average, nonsmokers weighed 13 lbs less than smokers.
What is the variability?
Variability refers to the amount of spread or dispersion in a set of data. It is a measure of how much the data values in a sample or population differ from each other.
One commonly used measure of variability is the standard deviation, which is the square root of the variance. The variance is the average of the squared differences from the mean.
Looking at the graph, we can see that the center of the distribution of smokers is around 178 lbs, while the center of the distribution of nonsmokers is around 165 lbs. This means that, on average, nonsmokers weigh less than smokers.
Option A is incorrect because the range is not a good measure of variability, and it does not necessarily mean that there is more variability in the weights of nonsmokers.
Option B is incorrect because the graph clearly shows that nonsmokers weigh less on average than smokers.
Option C is incorrect because we cannot make any conclusion about half of the smokers weighing more than all of the nonsmokers from the graph.
Option E is incorrect because the graph shows that the variability in the weights of smokers is greater than that of nonsmokers.
Hence, The correct statement that compares the distributions is:
D On average, nonsmokers weighed 13 lbs less than smokers.
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An engine runs for 5.8 hours. How many seconds did it run?
Answers
Answer: 20880 seconds.
Step-by-step explanation:
Determine that the value x=9 of the following expiration given x2+3x-5
Answers
Step-by-step explanation:
To determine the value of x that satisfies the expression x^2 + 3x - 5 when x = 9, we simply substitute 9 for x and evaluate the expression:
9^2 + 3(9) - 5 = 81 + 27 - 5 = 103
Therefore, when x = 9, the expression x^2 + 3x - 5 evaluates to 103.
rate my answer, please.
can someone help me out?
Answers
5*32-12=148
148=(3y-8).
y=52
Answer:
y is equal to nine and two thirds, or 9.666...
Step-by-step explanation:
To solve this, we first need to know the value of x. We can see though that x + (x - 12) is equal to 180 degrees, so:
x + 5x - 12 = 180
6x = 192
x = 32
Now that we have x, we can use the same rule to solve for y:
3y - 8 = x
3y - 8 = 32
3y = 40
y = 40 / 3
So y = 40/3, or 9 and 2/3
Bonus:
I almost wonder if the question was printed incorrectly, as the answer would have been a nice tidy integer if the other corner was 3y + 8 instead of 3y - 8.
If that were the case we'd have:
3y + 8 = 32
3y = 24
y = 8
A nice clean answer
To be clear, this last bit is NOT the correct answer, just an observation. If the book tells you that eight is the answer, then the question is misprinted.
given h(x)=2x^2-7x+4, find h(-7)
Answers
The output value of h(-7) in the function h(x) = 2x² - 7x + 4 is 151.
What is the output value of h(-7) in the given function?A function is simply a relationship that maps one input to one output.
Given the function in the question
h(x) = 2x² - 7x + 4,
Find h(-7)
To find h(-7), we substitute -7 for x in the equation of h(x) and simplify:
h(x) = 2x² - 7x + 4
Plug in x = -7
h(-7) = 2(-7)² - 7(-7) + 4
h(-7) = 2(49) + 49 + 4
h(-7) = 98 + 49 + 4
h(-7) = 151
Therefore,the output value of h(-7) is equal to 151.
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What is 24% of 337.5?
Answers
Answer:
81
Step-by-step explanation:
24% × 337.5 =
(24 ÷ 100) × 337.5 =
(24 × 337.5) ÷ 100 =
8,100 ÷ 100 =
81;
Write an equation for the given graph. The graph represents logarithmic function f with base 2 or 3, translated and or reflected.
Answers
The graph represent the following function translated or reflected:
\(f(x)=\log _2x\text{ or }\log _3x\)Lets calculat some values for f(x), considering base 2 or 3:
\(\begin{gathered} \text{Base 2:} \\ f(1)=0 \\ f(2)=1 \\ f(4)=2 \\ \text{Base 3:} \\ f(1)=0 \\ f(3)=1 \\ f(9)=2 \end{gathered}\)We can check that both possible functions are defined only at x > 0, and tends to - infinity when x tends to 0
We also can check that the logarithm with base 3 grows slower than the logarithm with base 2
Now, if we take a look at the graph, we will check that there is a vertical asymptote at x = 3 and the graph of function is turned to the left side, and not to the right side, how the graph of a logarithmic function would look like.
Then. the graph represent the function f reflected on the y-axis and translated three units right
We also can check that when x = 2 (which would be equivalent to x = 1 if the function where not reflected or translated), we have y = -1, and not y = 0. Therefore, the function also is translated one unit down.
Whe also can conclude that the graph is related to a logarithmic function with base 2, since when x = 1 (which would be equivalent to x = 2 if the function were not reflected or translated), we have y = 0 (which would be y = 1 if it weren't translated one unit down).
Therefore, the equation for the function represented in the graph must be:
\(f(-x+3)-1=\log _2(-x+3)-1_{}\)Suppose that y varies directly with x and inversely with z, and y = 4 when x = 8 and z = 14. Find z when x = 36 and y = 6.
First, what is the equation of variation?
y =
kx/z
kz/x
kxz
Answers
The equation of variation by the given data is y= 6.
We are given that;
y = 4, x = 8 and z = 14.
The equation of variation is y = kx/z, where k is a constant of proportionality. To find k, we can use the given values of x, y and z:
y = kx/z 4 = k(8)/14 k = 7
So the equation of variation is y = 7x/z.
To find z when x = 36 and y = 6, we can plug in these values and solve for z:
y = 7x/z 6 = 7(36)/z z = 42
Therefore, by the equation z will be 42 when x is 36 and y will be 6.
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A sience teacher uses an overhead projector to display a diagram of a pulley sytem. the actual diagram is 6'' by 7.2''. The image projected onto the wall is 4' 2'' by 5'' what is the scale factor of the projection
Answers
Answer:
25/36, or .694444
Step-by-step explanation:
First, let's convert 6" to inches.
That gives us 72. After we convert 4'2" into inches, we get 50.
This means that the diagram goes from 72 inches wide to 50. Put this into a proportion to find the scale factor:
50/72 = 25/36 = .6944444
Sam invested $2700 in an account with annually compounded interest. After 7 years, he had $3432 in the account. What was the interest rate of the account? Round your answer to one decimal place.
Answers
Answer: 3.5
Step-by-step explanation:
Type the correct answer in each box.
Consider the expressions shown below.
-
Answers
Answer:
First one is b second one is a thrid is c
Step-by-step explanation:
Evaluate − 3 w + 1 p for w = − 7 and p = 7
Answers
Answer:
28
Step-by-step explanation:
substitute the value of the variable into the expression and simplify
Answer:
28
Step-by-step explanation:
-3 (-7) +1 (7)
Hope this helped:)
What is the volume of a pyramid that has a square base measuring 4 feet and a height of 7 feet? Round to the nearest hundredth, if needed.
336 cubic ft
37.33 cubic ft
47.33 cubic ft
112 cubic ft
Answers
Answer:
112 cubic ft
Step-by-step explanation:
hope this helps
Missing numbers
, 9.8 , 9.1
Answers
Answer:
10.5
Step-by-step explanation:
Missing number, 9.8, 9.1
We see that each time it subtracts 0.7
We take
9.8 + 0.7 = 10.5
So, the missing number is 10.5
The perimeter of a soccer field is 320 feet. The length of the field is 20 less than twice the width. Find the dimensions of the soccer field. Let l represent the length of the field and w the width. A. One equation in the system comes from the fact that the perimeter of the field is 320 feet. Equation is:
B. The other equation comes from the fact that the length is 20 less than twice the width. Equation is: C. Solve the system.
The length of the field is:
And the width is:
Answers
Answer: The length of the field is 100 feet and the width is 60 feet.
Step-by-step explanation:
a. The perimeter of a rectangle is the sum of the lengths of all its sides. For a soccer field, the perimeter is the sum of the lengths of two adjacent sides, which are equal in length, and the sum of the lengths of the other two adjacent sides, which are also equal in length. Therefore, we can write the equation:
2l + 2w = 320
b. According to the problem, the length of the field is 20 less than twice the width. In equation form, this is:
l = 2w - 20
c. To solve the system of equations, we can substitute the expression for l from equation b into equation a, and then solve for w:
2(2w - 20) + 2w = 320
Simplifying:
4w - 40 + 2w = 320
6w - 40 = 320
6w = 360
w = 60
Now that we know the width is 60 feet, we can substitute this value into equation b to find the length:
l = 2w - 20
l = 2(60) - 20
l = 100
Therefore, the length of the field is 100 feet and the width is 60 feet.
Which of these statements is true?
Answers
Answer:A and V
correct me if I’m wrong
Or give me more information about the question
which of these situations can be represented by the opposite of -5?
A) you remove 5 rose bushes from your garden
B)the temp rises 5 degrees
C)you save $5 on a book with a coupon
D) you withdraw $5 from your savings account.
Answers
Answer:
B. Temp Rises 5 Degrees
Step-by-step explanation:
If we want the opposite of -5, then we look for +5 and B seems appropriate
$13,000 is deposited into a savings account with an annual interest rate of 3% compounded continuously. How much will be in the account after 5 years?
Round to the nearest cent.
$15,106.00
$15,103.85
$43,714.05
$66,979.54
Answers
Answer:
15,103.05
Step-by-step explanation:
Total amount in the saving account after 5 years in which the annual interest, compounded continuously, is $15,103.85.
What is compound interest?Compound interest is the amount charged on the principal amount and the accumulated interest with a fixed rate of interest for a time period.
The formula for the final amount with the compound interest formula can be given as,
\(A=P\times\left(1+\dfrac{r}{100n}\right)^{nt}\\\)
Here, A is the final amount (principal plus interest amount) on the principal amount P of with the rate r of in the time period of t.
$13,000 is deposited into a savings account with an annual interest rate of 3% compounded continuously.
The amount in account after 5 years can be calculated with the above formula as,
\(A=13000\times\left(1+\dfrac{3}{12\times100}\right)^{12\times5}\\A=15101.02\)
The total amount in the saving account after 5 years in which the annual interest, compounded continuously, is $15,103..85.
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PLEASE HELP MEE‼️‼️
Tell me which each 3 boxes should I pick for each one of them PLEASE READ them I beg (proportional relationships)
Answers
number one take the second
Use the number line below, where RS= 5y +5, ST = 4y + 8, and RT = 67.
a. What is the value of y?
b. Find RS and ST.
R
a. What is the value of y?
y = (Type an integer or a decimal.)
Answers
Answer:
y = 6RS = 35ST = 32Step-by-step explanation:
The segment sum theorem tells you the whole is the sum of the parts. That can be used to write an equation for y.
SetupRS +ST = RT
(5y +5) +(4y +8) = 67
SolutionSimplifying, we get ...
9y +13 = 67
9y = 54 . . . . . . . . subtract 13
y = 6 . . . . . . . . . divide by 9
RS = 5y +5 = 5·6 +5 = 35
ST = 4y +8 = 4·6 +8 = 32
The values of interest are ...
y = 6RS = 35ST = 324, 5, 5, 6, 7, 8, 8,9
What is the range?
Answers
Explanation: The range means the biggest number subtract the smallest number.
9 - 4 = 5.
algebra question please help tell
Answers
See attached. No idea why I can't submit this answer...
Solve the absolute value equation 4 − |x| = 1
Answers
Answer :SOLVING EQUATIONS CONTAINING ABSOLUTE VALUE(S)
Step 1: Isolate the absolute value expression.
Step2: Set the quantity inside the absolute value notation equal to + and - the quantity on the other side of the equation.
Step 3: Solve for the unknown in both equations.
Step 4: Check your answer analytically or graphically.
Step-by-step explanation:
Answer:
x can equal 5 or -5 since absolute value changes everything into a positive number.
Step-by-step explanation:
Find the midpoint of (-1, 5) and (2,-3)
Answers
Answer:
(0.5,1)
Step-by-step explanation:
The midpoint formula is \((\frac{x_1+x_2}{2}, \frac{y_1+y_2}{2})\)
Let's do x first
-1+2=1
1 ÷2=0.5
y
5+-3=2
2÷2=1
(0.5,1)
Hope this helps :-)
Given: 1 yard = 3 feet
yards = 4 feet
Answers
Answer:
12
Step-by-step explanation:
4 times 3 = 12
(PLEASE ANSWER ASAP)
Answers
Answer:
alternate interior angles are congruent
The expression (Ux²+x-T) (2x-1) can be written in the form (2x-1)²(x+S) where U, T and S are constant. Find the values of U, T and S....... Please help me solve this polynomial
Answers
Answer:
U=2, S=1, T=1
Step-by-step explanation:
(Ux²+x-T) (2x-1)=(2x-1)²(x+S)
(Ux²+x-T)=(2x-1)(x+S)=2x²+(2S-1)x-S
U=2
2S-1=1 --> S=1
T=S=1
Given the vector u equal to 7 (cos 330°, sin 330°) and vector v equal to
4 (cos 90º, sin 90°), find the sum u + v and write your answer in magnitude and
direction form with the magnitude rounded to the nearest tenth and the direction
rounded to the nearest degree, 0° ≤ 0 < 360°.
Answers
The magnitude and direction form with the magnitude rounded to the nearest tenth and the direction rounded to the nearest degree 5.4<cos335°<, sin335°
What is direction ?
Direction is characterized as the course that anything follows, the route that must be taken to go to a particular location, the direction in which something is beginning to take shape, or the direction you are facing. When you turn right instead of left, that is an illustration of direction.
The basis of the x, y, and z directions of a line or unit vector is identified by the number triplet known as the direction number. They are easily identified as a percentage of a unit vector.
u = 7cos300°i + 7sin300j
v = 4cos70i + 4sin70 j
u = 7*0.5i + 7*(-√3/2)j
= 3.5i - 6.062j
v = 1.368i + 3.758j
u + v =(3.5+1.368)i +(-6.062+3.758)j
= 4.868i +(-2.304)j
Magnitude of (u+v) = √(4.868)² +(2.304)²
= 5.385 ≈ 5.4
For direction
tanФ = y/x
= -2.304/4.868
Ф = -25.327
∴(u+v) is in 4th Quandrant
∴ Ф = 360 - 25.327
= 334.672
≈ 335°
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Loans can come with different repayment options. Which option will always be most logical?
Answers
Answer:
Best repayment option: income-driven repayment.
Step-by-step explanation:
The government offers four income-driven repayment plans: income-based repayment, income-contingent repayment, Pay As You Earn (PAYE) and Revised Pay as You Earn (REPAYE). These options are best if your income is too low to afford the standard payment.
Hope this helps:) Happy New Year!
Answer:
The one with the least cost of borrowing
Step-by-step explanation:
Please i need this fast Please Please Please
Answers
Answer:
Probably 9
Step-by-step explanation:
Because 27 divided by 3 is 9