Answer:
[tex]f(x)=0.003x+14[/tex]
Step-by-step explanation:
Let the linear function to represent the height of tree be:
[tex]f(x) =mx+c[/tex]
Where [tex]x[/tex] is the time in months
[tex]m[/tex] is the rate of change in the height of tree each month.
[tex]c[/tex] is the initial height of the tree.
Here, we are given that:
The initial height of the tree is 14 ft.
Increase in the height = 0.003 ft per month
Putting the values in the equation of function:
[tex]f(x)=0.003x+14[/tex]
So, the function [tex]f(x)=0.003x+14[/tex] can be used to find the height of tree in [tex]x[/tex] months since it was measured.
Tell whether the following questions are biased or fair. Rewrite biased questions as fair question.
Do you eat at least the recommended number of servings of fruits and vegetables to ensure a healthy and long life?
Answer:
this aint no math question
Step-by-step explanation:
Answer/Step-by-step explanation:
Biased; How many serving of fruits and vegetable do you eat
~Learn with Lenvy~
f(a) = – 3a – 2,
for a = -7
Answer:
7
Step-by-step explanation:
3.6 X 1.5m/s^2 I will give you brainiest but explain
Answer:
mx x 5.4 over s2
Step-by-step explanation
You have to multiply the fraction then
multiply the numbers.
What is the value of x in the proportion below?
StartFraction 180 kilometers over 3 hours EndFraction = StartFraction 540 over x EndFraction
6
9
12
60
Answer:
9
Step-by-step explanation:
steps are = to 9
Answer:
What is the value of x in the proportion below?
StartFraction 180 kilometers over 3 hours EndFraction = StartFraction 540 over x EndFraction Option B
(B) 9 100% Answer
Step-by-step explanation:
The scale on a map is 5cm=25miles. Kyle measured the distance from his house
to the store and it was 13cm. How many miles away is the store from Kyle's
house?
Answer:
65 cm
Step-by-step explanation:
The unit rate of the scale is 1cm=5miles
so you would multiply 13 cm by 5 miles to get 65cm
Answer:
65 miles
Step-by-step explanation:
25 divided by 5 = 5
13 x 5 = 65
Which number is divisible by both 3 and 9?
A) 21,369
OB) 27,621
OC) 27.629
OD) 36.663
Answer:
boi just use a claculator
Step-by-step explanation:
bye luve
Answer: A 21,369
Explanation I got it right on the test :)
Jacki evaluated the expression below. 2 cubed (3 minus 1) + 4 (8 minus 12) = 2 cubed (2) + 4 (4) = 8 (2) + 16 = 16 + 16 = 32. What was Jacki's error?
Answer:His error lies in the subtraction of 12 from 8 , he wrote 4 instead of -4 , as 8-12 gives -4 instead of 4.
Step-by-step explanation:
Step 1
Rewriting this to a mathematical expression 2 cubed (3 minus 1) + 4 (8 minus 12) and solving correctly gives
2³(3-1)+ 4(8-12)
=8(2) + 4(-4)
= 16 +(-16)
16-16=0
Step 2-----Jacki's evaluation
2³(3-1)+ 4(8-12)
= 2³(2) +4(4)
= 8(2) +16= 16+ 16 =32
His error lies in the subtraction of 12 from 8 , he wrote 4 instead of -4 , as 8-12 gives -4 instead of 4.
Answer:
C
Step-by-step explanation:
I took the test ;)
Can someone help me please!!!!!!!!!!
ANSWERS ASAP!!
Howdy everyone! I need help with these 3 math problems by just filling the numbers 4-19!! I'm sorry but I really need help!! Please don't answer random dumb questions for the points, be kind and actually help me!
Answer:
4. 2a
5. 3
6. 10
7. 2
8. 2
9. 5
Step-by-step explanation:
Answer:
54
Step-by-step explanation:
there
Point M (3,-2) is the midpoint of AB. If the coordinates of A are (-1, 4) then find the coordinates of point B.
Answer:
C (7, -8)
Step-by-step explanation:
Hi! If you know geometry well can you tell me if I am correct before I continue? I chose 3.5 because the length of both lines seem congruent.
Answer:
yes you are correct
Step-by-step explanation:
Tony’s Pizzeria customers were asked what kind of pizza topping they prefer. Tony learned that 20 customers selected pepperoni, 12 selected mushrooms, and 8 selected pepperoni and mushrooms. What is the probability that a randomly selected customer selected pepperoni but not mushrooms?
A.1/2
B.2/5
C.3/5
D.3/8
Answer:
A. 1/2
Step-by-step explanation:
First, find how many customers there were:
20 + 12 + 8
= 40
20 customers selected pepperoni only, so to find the probability that they chose pepperoni but not mushrooms, divide the amount by the total:
20/40
= 1/2
So, the probability is 1/2
If there are 60000 pies on the counter and peter eats 90 of them how much pies will be left on the counter and please actually answer! :(
A - 52648
B - 9038
C - 59910
D - 10009
Answer:
C or 59910 I hope you get it right
Step-by-step explanation
Find the slope of the line.
On a coordinate plane, a line goes through (2, 0) and (6, 1).
a.
4
c.
One-fourth
b.
Negative one-fourth
d. 4
Answer: C 1/4
Step-by-step explanation:
Answer:
C
Step-by-step explanation:
edge 2021
Consider the equation f(x)=(x+1)^3−3
Which point does NOT lie on the graph of y=f−1(x)
(−4, −2)
(−1, −3)
(5, 1)
(24, 2)
Answer:
(3, - 4 )
Step-by-step explanation:
Given a point (x, y ) on the graph of y = f(x) then the corresponding point on the inverse function is (y, x ), thus
(- 4, 3 ) is a point on f(x), then
(3, - 4 ) is the corresponding point on (x)
Hope this helps pls give me brainiest if i got tt right
Rewrite the point-slope form of the equation y − 725 = 12( x −50 ) in slope-intercept form. What does the y-intercept represent in terms of the situation? Explain.
Answer:
Point-slope form
y-b = m(x-a)
y- 725 = 12(x -50)
y -725 = 12x -600
+725 +725
Slope Intercep form
y = mx + b
y = 12x + 125
Step-by-step explanation:
The slope- intercept form is y = 12x + 125 and the y- intercept is 125.
What is slope- intercept ?The slope-intercept form of a line is a way of writing the equation of a line so that the slope of the line and the y-intercept are easily identifiable.
Given:
y − 725 = 12( x −50 )
Now, arranging in the form of slope- intercept form
y- 725 = 12 x - 600
y = 12x - 600 + 725
y = 12x + 125
as, the slope intercept form is
y= mx + b
Hence, the y- intercept is 125
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The first step in solving the equation 5+|2x−4|=9 is to isolate the absolute value expression. What is the first step to isolate the absolute value expression? Divide both sides of the equation by 2. Subtract 9 from both sides of the equation. Subtract 5 from both sides of the equation. Add 4 to both sides of the equation.
Answer:
Subtract 5 from both sides of the equation.
Step-by-step explanation:
Given the function:
[tex]5+|2x-4|=9[/tex]
First step to solve the above equation is to isolate the absolute value function i.e. one side(either Left Hand Side or Right Hand Side) of equation must contain the terms containing the absolute function only.
In Left Hand Side, we have the absolute value function added to 5.
If we subtract 5 from both the sides, we get:
[tex]5+|2x-4|-5=9-5\\\Rightarrow |2x-4|=4[/tex]
So, after "subtracting 5 from both sides of the equation", the absolute function gets isolated on the left hand side of the equation i.e. Left Hand Side contains the absolute value function only.
Answer:
I just finished the Quiz and the Correct answer is "Subtract 5 from both sides of the equation"
Step-by-step explanation:
If point K is the midpoint of JL, what are the
coordinates of endpoint J?
(6,-5)
(-6,7)
(0, 1)
(-4,5)
In an AP. 19th term is 52 and 38th term is 128. Find the sum of the first 56 terms.
19th term of an AP = 52
38th term = 128
Find:the sum of the first 56 terms
Solution:We know that,
nth term of an AP – a(n) = a + (n - 1)d
Hence,
→ a + (19 - 1)d = 52
→ a + 18d = 52 -- equation (1)
Similarly,
→ a + (38 - 1)d = 128
→ a + 37d = 128 -- equation (2)
Subtract equation (1) from (2).
→ a + 37d - (a + 18d) = 128 - 52
→ a + 37d - a - 18d = 76
→ 19d = 76
→ d = 76/19
→ d = 4
Substitute the value of d in equation (1).
→ a + 18 * 4 = 52
→ a = 52 - 72
→ a = - 20
We know,
Sum of first n terms of an AP – S(n) = n/2 * [ 2a + (n - 1)d ]
Hence,
→ S(56) = 56/2 * [ 2 (- 20) + (56 - 1) * (4) ]
→ S(56) = 28 * [ - 40 + 55 * 4 ]
→ S(56) = 28 * [ - 40 + 220 ]
→ S(56) = 28 * (180)
→ S(56) = 5040
Hence, the sum of first 56 terms of the given AP is 5040.
I hope it will help you.
Regards.
The sum of the first 56 terms of the given AP is 5040.
What is an arithmetic progression?The sequence in which every next number is the addition of the constant quantity in the series is termed as the arithmetic progression. A number series is a number-based sequence. In the number series questions, we must identify the rules that lead to the formation of a number series.
Given that in an AP. 19th term is 52 and 38th term is 128.
nth term of an AP – a(n) = a + (n - 1)d
a + (19 - 1)d = 52
a + 18d = 52 -- equation (1)
Similarly,
a + (38 - 1)d = 128
a + 37d = 128 -- equation (2)
Subtract equation (1) from (2).
a + 37d - (a + 18d) = 128 - 52
a + 37d - a - 18d = 76
19d = 76
d = 76/19
d = 4
Substitute the value of d in equation (1).
a + 18 * 4 = 52
a = 52 - 72
a = - 20
Sum of first n terms of an AP – S(n) = n/2 * [ 2a + (n - 1)d ]
S(56) = 56/2 * [ 2 (- 20) + (56 - 1) * (4) ]
S(56) = 28 * [ - 40 + 55 * 4 ]
S(56) = 28 * [ - 40 + 220 ]
S(56) = 28 * (180)
\S(56) = 5040
Hence, the sum of the first 56 terms of the given AP is 5040.
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Help asapp find the slope and the parallel slope
Answer:
rise= -4
run= 2
so rise over run is -4/2 = -2
4hours and 12mins - 1hr and 26mins plz help i need a anwser
We know,
1 hour = 60 minutes
Then 4 hours = 4×60= 240 minutes
So 4 hour and 12 minutes := 240+ 12 mins
= 252 minutes
1 hour 26 minutes=60 + 26 minutes
= 86 minutes
Now we're ready to subtract!!!
252 minutes- 86 minutes=166 minutes
= [tex]\huge{\red{\bold{\boxed{2hour\:46minutes}}}}[/tex]
Another term for a possible "rule" of a pattern it is called
Answer:
A sequence
Step-by-step explanation:
A sequence is a collection of things arranged such that there is order or form in the collection. The components of a sequence are called elements or terms
The pattern in a sequence is achieved by the implementation of well defined rules, such that a term more than one space from a known term can be calculated
An example of a sequence is the following numbers;
1, 6, 11, 17, 22, 28,...
It can be observed that each subsequent term of the sequence is larger than the previous term by 5, therefore, 5 is known as the common difference, and the sequence is known as an arithmetic progression.
What’s the slope?
( “M”only)
Answer:
slope (m) = [tex]\frac{5}{6}[/tex]
Step-by-step explanation:
Find the slope by using the following equation:
slope (m) = [tex]\frac{y_2 - y_1}{x_2 - x_1}[/tex]
Let:
([tex]x_1 , y_1[/tex]) = (1 , 2)
([tex]x_2 , y_2[/tex]) = (7 , 7)
Plug in the corresponding numbers to the corresponding variables:
slope (m) = [tex]\frac{7 - 2}{7 - 1} = \frac{5}{6}[/tex]
slope (m) = [tex]\frac{5}{6}[/tex]
~
[tex] \LARGE{ \underline{ \purple{ \bf{Required \: answer:}}}}[/tex]
We can find the slope (m) by using the formula:
[tex] \rm{m = \dfrac{y2 - y1}{x2 - x1} }[/tex]The points given to us:
(x1 , y1) = (1 , 2)(x2 , y2) = (7 , 7)Plugging the given values of x1, y1, x2 and y2 to find the slope:
[tex] \rm{m = \dfrac{7 - 2}{7 - 1} }[/tex]
This is equals to,
[tex] \rm{m = \dfrac{5}{6} }[/tex]
And this is our required result....
#CarryOnLearning
Nicole is making tuna salad for her office colleagues. It takes 2/5 of a pound of canned tuna to make 5 portions of salad. She uses 1 1/5 pounds of canned tuna for every 2 onions used. If Nicole uses a total of 4 onions, then how many portions of salad does she make?
Answer:
30 portions of salad
Step-by-step explanation:
Given that :
2/5 pounds of canned tuna = 5 portions of salad
For every 2 onions used, 1 1/5 pounds of canned tuna is used ;
Number of onions used = 4
If 4 onions were used, number of canned tuna used is ;
4 /2 * 1 1/5
= 2 * 1 1/5
= 2 * 6/5
= 12 / 5 = 2 2/5 pounds of canned tuna
Number of Portions of salad made :
2/5 pounds = 5 portions of salad
12/5 pounds = x
2/5 * x = 12/5 * 5
2/5x = 60 /5
2/5 x = 12
x = 12 ÷ 2/5
x = 12 * 5 /2
x = 60/2
x = 30 portions of salad
What is the y-intercept of the function f(x)= - 2/9x + 1/3
Answer:
y intercept is 1/3
Step-by-step explanation:
plz help with this -5/7x - 8/21x + 1/3x
Answer:
-68
Step-by-step explanation:
The and age of each child in a random sample of children was recorded The value of the correlation coefficient between height and the children in the sample was 0.8 . Based on the line created from the data to the height of a child based on age which of the following is a correct statement ?
Options :
A.) On average, the height of a child is 80% of the age of the child.
B.) The least-squares regression line of height versus age will have a slope of 0.8.
C.) The proportion of the variation in height that is explained by a regression on age is 0.64.
D.) The least-squares regression line will correctly predict height based on age 80% of the time.
E.) The least-squares regression line will correctly predict height based on age 64% of the time.
Answer:
C.) The proportion of the variation in height that is explained by a regression on age is 0.64.
Step-by-step explanation: from the scenario stated above, The correlation Coefficient R = 0.8, which shows the strength of relationship between age and height of children. From the value of correlation Coefficient Given, we can obtain the Coefficient of determination (R²) which gives the percentage of Variation which can be explained by the regression model.
Hence the Coefficient of determination (R²) = 0.8² = 0.64. Hence, the proportion of variation in height of children which can he due to age is 0.64 while 0.36 can be based on other factors.
Based on the line created from the data to the height of a child based on age the correct statement is given by: Option C.) The proportion of the variation in height that is explained by a regression on age is 0.64.
How can we get to know the variability of one variable to other from correlation coefficient?For that, we can use the coefficient of determination.
The coefficient of determination is square of correlation coefficient and thus, ranges from 0 to 1.
The coefficient of determination tells for unit variation in one variable will lead to how much variation in other variable and vice versa.
Let we take:
X = age of children of the sample considered
Y = height of children of the sample considered
Then, as it is given that:
[tex]r(X, Y) = 0.8[/tex]
Thus, the coefficient of determination is: [tex]r^2 = 0.8^2 = 0.64[/tex]
Thus, we get that 0.64 of the variation in the height is explained by the age of the children.
Thus, the true statement is:
Option C.) The proportion of the variation in height that is explained by a regression on age is 0.64.
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1.Yesterday, there were 10 problems assigned for math homework. Sedrick did 80%
of them correctly. How many problems did Sedrick get right?
Answer:
8
Step-by-step explanation:
[tex] \frac{80}{100} \times 10 = 8[/tex]
order the following number from least to greatest 0.85, 0.92, 8/9
Answer:
0.85, 8/9, .92
Step-by-step explanation:
8/9 = .88
Can these three side lengths make a triangle? (Hint: use the Triangle
Inequality Theorem)*
Answer:
No
Step-by-step explanation:
Triangle inequality theorem : Any side of a triangle must be shorter than the other two sides added together.
Let's check if this theorem holds good with these side lengths
3< 9+5 (holds good)
5< 9+3 (holds good)
9< 5+3 (does not hold good)
So, these 3 sides cannot make a triangle