A train traveling at 30 miles per hour reaches a tunnel which is 9 times as long as the train. If the train takes 2 minutes to completely clear the tunnel, how long is the train? (1 mile = 5,280ft)
linear relation between c and n
Why is this? It's because each time x goes up by 2, y is also increasing by 2. The rate of change is constant. I'm treating n as x, and C as y.
Another way to see why we have a linear function is to pick any two points from that table, and apply the slope formula
m = (y2-y1)/(x2-x1)
You should find that no matter which two rows you pick, you should get a slope of 1.
Lastly, you can plot the three points from the table to find they all are on the same straight line as shown below. So there are at least 3 different ways to justify choice B as the answer.
Side note: The equation of the line is y = x-7, which then translates over to C = n-7.
Which power does this expression simplify to?
[(7)(7)
1
- -
ооо
74
O
Step-by-step explanation:
Answer is in attached image...
hope it helps
Answer:
its a
Step-by-step explanation:
just did it
Does the function f(x) = (0.68)^x represent exponential growth, decay, or neither?
Answer:
The function is always Decreasing
Step-by-step explanation:
By graphing the polyminal in order to determine the intervals over which it is increasing or decreasing we find that it always decreasing.
At what age do babies learn to crawl? Does it take longer to learn in the winter when babies are often bundled in clothes that restrict their movement? Data were collected from parents who brought their babies into the University of Denver Infant Study Center to participate in one of a number of experiments between 1988 and 1991. Parents reported the birth month and the age at which their child was first able to creep or crawl a distance of 4 feet within 1 minute. The resulting data were grouped by month of birth: January, May, and September:
Answer:
Babies learn to crawl between age of 6 to 10 months.
Step-by-step explanation:
It may take longer for babies to crawl in winter season since the climate restricts the babies movement due to extra clothes. The babies who are born in summer will learn crawling earlier than those who are born in winter season.
The number of cubic feet of water in a curved container can be approximated by V=0.95h^2.9 find the amount of water in the container when h=8 feet round to the nearest tenth
Answer choices:
A. 0.9
B. 358.4
C. 395.1
D. 314.9
Answer:
C. 395.1
Step-by-step explanation:
Substitute the value for x:
[tex]V=0.95(8)^{2.9}\\V=395.1[/tex]
Find the dy/dx from
y=3×^2+5×^4 -10
Find the function G defined by G(x) =5x+3 find G(-1)
Answer:
G(-1) = -2
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
Functions
Function NotationStep-by-step explanation:
Step 1: Define
Identify
G(x) = 5x + 3
Step 2: Evaluate
Substitute in x [Function G(x)]: G(-1) = 5(-1) + 3Multiply: G(-1) = -5 + 3Add: G(-1) = -2Answer:
G = -2
Step-by-step explanation:
Plug in -1 for x.
5(-1) + 3
-5 + 3
-2
G = -2
Help?! Please! Thank you!!!!!!!
Write the inequality shown in this graph.
Answer:
y > -1/2 x + 4
Step-by-step explanation:
Equation of a line : (y-y1)/(y2-y1) = (x-x1)/(x2-x1)
(y-4)/(2-4)= (x-0)/(4-0)
(y-4)/-2 = x/4
(-y+4)/2 = x/4
-y+4 = 1/2 x
-y = 1/2 x - 4
y = -1/2 x + 4
the solutions of the inequality are the points above this line, so
y > -1/2 x + 4
A runner’s distribution of times for running 1,000 meters has a mean of 4.5 minutes with a standard deviation of 0.75 minutes. One of the runner’s times has a z-score of –1.08. Which of the following statements is the best interpretation of this z-score?
This runner’s time was faster than the mean time by 0.75 standard deviations.
This runner’s time was faster than the mean time by 1.08 standard deviations.
This runner’s time was slower than the mean time by 0.75 standard deviations.
This runner’s time was slower than the mean time by 1.08 standard deviations.
Answer:
I believe it is (C).
This runner’s time was slower than the mean time by 0.75 standard deviations.
ED2021
Answer:
B) This runner’s time was faster than the mean time by 1.08 standard deviations.
Step-by-step explanation:
The runner is FASTER because of the negative z score
Find the recursive formula for the geometric sequence. Then find a5,
2, 14, 98, 686,...
Answer:
the answer is C
Step-by-step explanation:
how do you tell how many times greater is the 5 in 458,039 than the 5 in 271,145
Answer:
count the number of places it is. The 5 in 458,039 is in the 10,000 place and the 5 in 271,145 is in the ones place so the 5 in 458,039 is 10,000 times greater
What is the shape of the cross section?
Answer:
Step-by-step explanation:
Triangular cross-section.
Answer:
it is a triangle cross-section
hope this answer helps you
Plz make me a brainlist
write your answer in simplest radical form
Answer:
n = 8√2
Step-by-step explanation:
From the question given above, the following data were obtained:
Angle θ = 60°
Opposite = 4√6
Hypothenus = n =?
The value of n can be obtained by using the sine ratio as illustrated below:
Sine θ = Opposite / Hypothenus
Sine 60 = 4√6 / n
√3/2 = 4√6 / n
Cross multiply
n × √3 = 2 × 4√6
n × √3 = 8√6
Divide both side by √3
n = 8√6 / √3
Rationalise
n = 8√6 / √3 × (√3/√3)
n = 8√(6×3) / 3
n = 8√18 / 3
Recall
√18 = √(9×2) = √9 × √2 = 3√2
Thus,
n = 8√18 / 3
n = 8 × 3√2 / 3
n = 8√2
Determine the input that would give an output value of 2/3
==========================================
Explanation:
The steps you have so far are correct. You just need to multiply both sides by -3
Doing so will clear out the fractions and you'll be left with 19 = x, which is the same as x = 19
Let's check that answer:
[tex]y = -\frac{1}{3}x + 7\\\\y = -\frac{1}{3}*19 + 7\\\\y = \frac{-19}{3} + 7*\frac{3}{3}\\\\y = \frac{-19}{3} + \frac{21}{3}\\\\y = \frac{-19+21}{3}\\\\y = \frac{2}{3}\\\\[/tex]
So the answer is confirmed.
Solve for f(-7) plz thanks
Answer:
12
Step-by-step explanation:
If f(x) = 5 - x
Then f(-7) = 5 - (-7)
f(-7) = 5 + 7
f(-7) = 12
Drag each equation to the correct location on the table.
Match the equations with the value of x that makes them true.
5x - 2x - 4 = 5
5x - (3x - 1) = 7
x + 2x + 3 = 9
2(2x - 3) = 6
4x - (2x + 1) = 3
5(x + 3) = 25
x = 2
X = 3
Answer:
The answer to your questions are given below.
Step-by-step explanation:
To answer the question given above, we shall determine the value of x in each equation. This can be obtained as follow:
5x - 2x - 4 = 5
3x - 4 = 5
Collect like terms
3x = 5 + 4
3x = 9
Divide both side by 3
x = 9/3
x = 3
5x - (3x - 1) = 7
Clear the bracket
5x - 3x + 1 = 7
2x + 1 = 7
Collect like terms
2x = 7 - 1
2x = 6
Divide both side by 2
x = 6/2
x = 3
x + 2x + 3 = 9
3x + 3 = 9
Collect like terms
3x = 9 - 3
3x = 6
Divide both side by 3
x = 6/3
x = 2
2(2x - 3) = 6
Clear the bracket
4x - 6 = 6
Collect like terms
4x = 6 + 6
4x = 12
Divide both side by 4
x = 12/4
x = 3
4x - (2x + 1) = 3
Clear the bracket
4x - 2x - 1 = 3
2x - 1 = 3
Collect like terms
2x = 3 + 1
2x = 4
Divide both side by 2
x = 4/2
x = 2
5(x + 3) = 25
Clear the bracket
5x + 15 = 25
Collect like terms
5x = 25 - 15
5x = 10
Divide both side by 5
x = 10/5
x = 2
SUMMARY:
x = 2
x + 2x + 3 = 9
4x - (2x + 1) = 3
5(x + 3) = 25
x = 3
5x - 2x - 4 = 5
5x - (3x - 1) = 7
2(2x - 3) = 6
If you have a volume of 366,514 cm, how many ft does that make? Round to 1 decimal.
Answer:
12024.7
Step-by-step explanation:
Searched it up.
then rounded
which of these figures has rotational symmetry
9514 1404 393
Answer:
A
Step-by-step explanation:
The parallelogram has rotational symmetry of degree 2. It looks the same after rotation by 180°.
_____
Additional comment
When a figure only looks like itself after a full rotation of 360°, it is said to have rotational symmetry of degree 1. All of the figures here will return to their original appearance after one 360° rotation. So, we assume the intent of the question is to identify figures with a rotational symmetry of degree greater than 1.
A researcher would like to investigate whether or not there is a difference in IQ between Psychology and History majors. She gathers 16 students (8 whose major is Psychology, and 8 whose major is history) and has them all take an IQ test to test this hypothesis using an alpha level of .01. Below are the data: Psych History
110 90 120 98 100 100 90110 124 100 102 120 110 110 123 120
a. What is the appropriate test?
b. State the null hypothesis:
c. State the alternative hypothesis:
d. Find the critical value:
e. Calculate the obtained statistic:
f. Make a decision:
g. What does your decision mean?
Answer:
Paired t test
H0 : μd = 0
H1 : μd > 0
Critical value = 3.499
Test statistic = 2.230
Reject H0 if test statistic > Critical value
Kindly check explanation.
Step-by-step explanation:
Given the data :
110 90 120 98 100 100 90 110
124 100 102 120 110 110 123 120
The hypothesis :
H0 : μd = 0
H1 : μd > 0
Tcritical value, df = n - 1 = 8 - 1 = 7
Tcritical(0.01, 7) = 3.499
The difference, d = (-14,-10,18,-22,-10,-10,-33,-10)
The test statistic :
Xdbar / Sd/√n
The mean difference, Xdbar = Σx / n = - 11.375
The standard deviation of difference, Sd = 14.431
The test statistic :
-11.375 / (14.431/√8) ;
-11.375 / 5.102
= 2.230
Decison :
Reject H0 if test statistic > Critical value
Since ; 2.230 <3.499 ;
We fail to reject the null
A math class is having a discussion on how to determine if the expressions 4 x minus x + 5 and 8 minus 3 x minus 3 are equivalent. The class has suggested four different methods. Which describes the correct method? Both expressions should be evaluated by substituting one value for x. If the final values of the expressions are both positive after the substitution, then the two expressions must be equivalent. Both expressions should be evaluated by substituting with one value for x. If the final values of the expressions are the same, then the two expressions must be equivalent. Both expressions should be evaluated by substituting any two values for x. If for each substituted value, the final values of the expressions are positive, then the two expressions must be equivalent. Both expressions should be evaluated by substituting any two values for x. If for each substituted value, the final values of the expressions are the same, then the two expressions must be equivalent.
Answer:
Both expressions should be evaluated by substituting with one value for x. If the final values of the expressions are the same, then the two expressions must be equivalent.
Step-by-step explanation:
its B
Option (D) both expressions should be evaluated with two different values. If for each substituted value, the final values of the expressions are the same, then the two expressions must be equivalent is the correct answer.
What is a word problem?
A word problem is a verbal description of a problem situation. It consists of few sentences describing a 'real-life' scenario where a problem needs to be solved by way of a mathematical calculation.
For the given situation,
The expressions are [tex]4x-x+5 , 8-3x-3[/tex]
If the expressions are equivalent then,
⇒ [tex]4x-x+5 = 8-3x-3[/tex]
⇒ [tex]3x+5=-3x+5[/tex]
In both the sides the x has different values.
So, Both expressions should be evaluated with two different values. If for each substituted value, the final values of the expressions are the same, then the two expressions must be equivalent.
Hence we can conclude that option (D) both expressions should be evaluated with two different values. If for each substituted value, the final values of the expressions are the same, then the two expressions must be equivalent is the correct answer.
Learn more about word problems here
brainly.com/question/20594903
#SPJ2
Express 8:28 in its simplest form
What is the volume of the prism?
227.0 cubic inches
169.1 cubic inches
177.9 cubic inches
157.5 cubic inches
Answer:
B. 169.1 cubic inches
Step-by-step explanation:
Volume of the prism = base area × height
Base area = s²
Where,
s = 5.4 in.
Base area = 5.4²
Base area = 29.16 in.²
height = 5.8 in.
Volume of the prism = 29.16 × 5.8
= 169.128
≈ 169.1 cubic inches (to nearest tenth)
If a rope 36 feet long is cut into two pieces in such a way that one piece is twice as long as the other piece, how long must the long piece be? If a rope 36 feet long is cut into two pieces in such a way that one piece is twice as long as the other piece, how long must the long piece be
Answer:
24feet
Step-by-step explanation:
the first rope well give it letter X and the longer rope we'll give it 2x since it's twice then we add the two unknown numbers which must lead to a total of 36feet when we add the unknown digits we'll get 3x then simply the unknown digit with the total and u'll get 12 replace the X from the first letters with 12by multiplying
F(x) = x +3; G(x) = 2x^2 -4 Find (f*g)(x)
9514 1404 393
Answer:
(f·g)(x) = 2x^3 +6x^2 -4x -12
Step-by-step explanation:
The distributive property is used to find the expanded form of the product.
(f·g)(x) = f(x)·g(x) = (x +3)(2x^2 -4) = x(2x^2 -4) +3(2x^2 -4)
= 2x^3 -4x +6x^2 -12
(f·g)(x) = 2x^3 +6x^2 -4x -12
Write A linear equation in standard form the passes through the points (4,-2) and (2,6)
Answer:
Step-by-step explanation:
4 x + y =
14
*20 points*
What is the probability of drawing yellow marble followed by a red marble from a bag containing 12 yellow marbles, 14 red marbles, and 15 green marbles if the first marble is not replaced?
a. 192/1,849
b. 18/43
c. 21/205
Answer:
c: 21/205
Step-by-step explanation:
The probability of choosing a yellow marble first is 12/41 bc there are 12 yellow marbles and 41 marbles to choose from.
The probability of choosing a red marble is 14/40 bc there are 14 red marbles and 40 marbles to choose from( since you have removed the marble you first chose so there are 40 marbles left).
Multiplying these two together, 12/41 * 14/40 = 168/1640, simplified it's 21/205.
Write a linear equation representing the information shown in the table.
A) y = 2x + 10
B) y = –2x + 10
C) y = 10x – 2
D) y = 10x + 2
Answer:
b
Step-by-step explanation:
y=-2x+10
y=-2×0+10 y=10
y=-2×1+10 y=8
y=-2×2+10 y=6
y=-2×3+10 y=4
Answer: B. y = –2x + 10
Step-by-step explanation:
What's the distance between the points (7,3) and (7,–8)?
Answer:
11
Step-by-step explanation:
The distance is found by
d =sqrt ( (x2-x1)^2 + (y2-y1)^2)
= sqrt( ( 7-7)^2 +(3 - -8)^2)
= sqrt(0 +(3+8)^2)
= sqrt( 11^2)
= 11
