The variable s varies directly as the square of t. When s = 4, t = 12. Nick’s work finding the value of t when s = 48 is shown:
What is the first error, if any, in Nick’s work?
See in pic:
Answers
Answer:
C - He substituted incorrectly when calculating the constant of variation.
The first error, in Nick’s work is given inn option C, i.e. He substituted incorrectly when calculating the constant of variation.
What is constant of variation?Constant of variation is the ratio between two variables in a direct variation or the product of two variables in an inverse variation.
We have,
s = 4, and t = 12
Now according to the question,
The variable s varies directly as the square of t,
i.e.
s = kt²
So,
Substituting given values of s and t,
s = kt²
i.e.
4 = k × 12²
⇒
[tex]k = \frac{4}{144}=\frac{1}{36}[/tex],
Now,
for 48,
i.e.
s = kt²,
We get,
[tex]48 = \frac{1}{36} t^2[/tex],
i.e.
[tex]t^2=36 *48=1728[/tex]
[tex]t=\sqrt{1728} = \sqrt{3*576} =24\sqrt{3}[/tex]
So, this is the correct value for t.
Hence, we can say that the first error, in Nick’s work is given inn option C, i.e. He substituted incorrectly when calculating the constant of variation.
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Related Questions
which is the following fraction is the smallest?9/13 ,17/26, 28/39, 33/52
Answers
Answer:
I THINK ITS A. 9/13 BECAUSE THE QUESTION SAID THAT FRACTION IS THE SMALLESTStep-by-step explanation:
I HOPE IT HELPS :)
A normal distribution of data has a mean of 15 and a standard deviation of 4. How many standard deviations from the
mean is 25?
Answers
Answer:
25 is 2.5 standard deviations from the mean.
Step-by-step explanation:
Normal probability distribution
Problems of normally distributed samples can be solved using the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the zscore of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The Z-score measures how many standard deviations the measure is from the mean.
In this question:
Mean of 15 and a standard deviation of 4, so [tex]\mu = 15, \sigma = 4[/tex]
How many standard deviations from the mean is 25?
We have to find Z when [tex]X = 25[/tex]. So
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{25 - 15}{4}[/tex]
[tex]Z = 2.5[/tex]
So 25 is 2.5 standard deviations from the mean.
Answer:
2.5
Step-by-step explanation:
i just took the test
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6
The following equation is in standard form: 3x - 5y = 20
(a) Show ALL work to put it in slope-intercept form!
(b) Graph your answer in slope-intercept form.
PLEASE HELP ME WITH THIS PLEASE IM FAILING MY CLASS
Answers
Answer:
3x-5y=20
-3x=
5y=3x-20
/5=
y=(3x/5) - (20/5)
y=3/5-4
PLEASE HELP PLEASEEEEEE
Answers
Answer:
C. 70
Every triangle's interior angles add up to 180°, and a flat line is eqal to 180°.
180°-115°=65°
180°-135°=45°
65+45=110
180-110=70
Answer:
70
Step-by-step explanation:
trus me .have no if we day
Which congruence criteria can be used directly from the information about triangles HIJ and MNO to prove IJ¯¯¯¯¯¯≅MN¯¯¯¯¯¯¯¯¯¯ by CPCTC? HI¯¯¯¯¯¯¯≅NO¯¯¯¯¯¯¯¯, ∠I≅∠N, ∠H≅∠O (1 point) ASA congruence AAS congruence SAS congruence HL congruence
Answers
Answer: [tex]\overline{IJ}\cong \overline{MN}[/tex]
Step-by-step explanation:
Given: In triangle HIJ and triangle MNO we have
[tex]\overline{HI}\cong \overline{NO}, \angle{I}\cong \angle{N} ,\angle{H}\cong \angle{O}[/tex]
here, HI and NN are the included side between ∠I & ∠H and ∠N and ∠O.
So , by ASA congruence rule,
ΔHIJ ≅ ΔMNO
So by CPCTC (corresponding parts of the congruent triangles are congruent)
[tex]\overline{IJ}\cong \overline{MN}[/tex]
Explain why Simple Interest is arithmetic growth.
Answers
Answer:
Because besides for the principal amount, it has a steady growth. In simple interest, it is a linear equation.
Step-by-step explanation:
8 over 15? is it closer to 0, 1 over 2 or 1
Answers
It would be closer to 1/2 or 1 over 2
Answer:
its closer to 1....
Step-by-step explanation:
1/2 is half
so...
half of 15 is 7.5
8 is larger than 7.5
so that makes it closer to one
The average price for gasoline per gallon is $3.562 if last year the average price for gasoline per gallon was $2.810 what is the approximate percent of change
Answers
Answer: It increased by 78.89%
Step-by-step explanation:
2.810 / 3.562
=0.7889
78.89%
The approximate percent of change is 26.76% increase.
What is the percentage?A percentage is a value per hundredth. Percentages can be converted into decimals and fractions by dividing the percentage value by a hundred.
Given, The average price for gasoline per gallon is $3.562.
last year the average price for gasoline per gallon was $2.810.
∴ The net amount change is $(3.562 - 2.810) = $0.752.
Now to obtain percentage change we'll divide the net amount change by the original amount and multiply it by 100% which is,
= (0.752/2.810)×100%.
= 26.76% increase.
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4 brainliest no steal points or i report
Drag and drop the numbers to order them from least to greatest.
-4.79
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Answers
can someone please EXPLAIN how to find out how is 9` is `150%` is 6
Answers
Answer:
[tex]9[/tex]
Step-by-step explanation:
[tex]We\ are\ required\ to\ find\ out\ 150 \%\ of\ 6.\\Hence,\\We\ can\ also\ rewrite\ this\ statement\ as:\\150 \%\ *6\\=\frac{150}{100}*6\\=\frac{15}{10}*6\\=\frac{90}{10}=9[/tex]
If the circumference of a circle is 4π cm, what is its area?
Answers
az+17=-4z-b
z=_____
Someone help please
Answers
Answer:
4
Step-by-step explanation:
yes.
What times what equals 6 but adds to -1
Answers
Answer: Nothing
Step-by-step explanation: There aren't any numbers that multiply to equal 6 but add to be -1.
There aren't any numbers that multiply to equal 6 but add to be -1 but we can say -6 and positive 1.
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables.A mathematical equation is a statement with two equal sides and an equal sign in between. example, 4 + 6 = 10. Both 4 + 6 and 10 can be seen on the left and right sides of the equal sign, respectively.
For that , we need to try solving it first using the method of substitution in which we express one variable in other variable's form and then it can substitute this value in other equation to get linear equation in one variable.
We need to find the number that equals 6 but adds to -1.
We can see that there aren't any numbers that multiply to equal 6 but add to be -1.
So, we conclude that number could be -6 and positive 1.
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Answers
Answer:
i think 6 x 72 = calculator
Step-by-step explanation:
Answer:
6 x 70 = calculator
Step-by-step explanation:
Generate the first five terms in the sequence using the explicit formula.
Answers
the answer is c
let's check
-4(1)+3=-1
-4(2)+3=-5
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Helllp plsssssssssssssaaaa
Answers
Find x & y so that quadrilateral is a parallelogram. (Look at image)
Answers
Answer:
x = - 6 y = 13
Step-by-step explanation:
we know when the diagonals bisect it divides into two equal parts so
-4x - 2 = -3x + 4
-4x + 3x = 4 + 2
- x = 6
x = - 6
Now
2y + 8 = 3y - 5
3y - 2y = 8 + 5
y = 13
Hope it will help :)❤
Solve: 8 - 3x > -25 please
Answers
Answer:
x < 11
Step-by-step explanation:
8 - 3x > -25
Subtract 8 from each side
8 - 3x-8 > -25-8
-3x> -33
Divide each side by -3, remembering to flip the inequality
-3x/-3 < -33/-3
x < 11
Hilary has 48 building blocks in the red bucket. That is 6 times as many blocks in the green bucket. How many building blocks are in the green bucket?
Answers
Answer: 8
Step-by-step explanation:
From the question, we are informed that Hilary has 48 building blocks in the red bucket which is 6 times as many blocks in the green bucket.
Let the number of building blocks that are in the green bucket be represented by x.
Based on the scenario given in the question, this will be:
6 × x = 48.
6x = 48
x = 48/6.
x = 8
This means that there are 8 green building blocks
What’s the midpoint between 15 and 37.5
Answers
Answer:
26.25
Step-by-step explanation:
I'm not sure if I'm right but I did 37.5 - 15 and I got 22.5. 22.5 divided by 2 gives me 11.25, so I added 15 and 11.25 which gives me 26.25
Which choice is equivalent to the fraction below?
8/13
A. 8 divided by 13
B. 8 - 13
C. 13 divided by 8
D. 8 * 13
Answers
Answer:
A
Step-by-step explanation:
8/13 = 8 divided by 13
because it is thedivided by the denominator
[tex]\left \{ {{y= numerator} \atop {x=denominator}} \right.[/tex]
8^2 - (6+3) + 10
with explanation plz
54 points
Answers
Answer:
65
Step-by-step explanation:
8^2 - (6+3) + 10
PEMDAS says parentheses first
8^2 - (9) + 10
Then exponents
64 - (9) + 10
Then add and subtract from left to right
55 +10
65
Answer:65
Step-by-step explanation:
8^2 -(6+3) +10
8^2-9+ 10 . Do parenthesis
64-9+10. Do the exponent
55+10. Subtract
65. Add
brainliest requested.
Type the correct answer in each box use numerals instead of words consider the quadratic equation
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Solve the system of linear equations using the Gauss-Jordan elimination method.
2x + y − 2z = −3
x + 3y − z = −4
3x + 4y − z = 5
(x, y, z) =
Answers
Answer:
x = -0.6
y = 2.2
z = 2
Step-by-step explanation:
2x + y - 2z = -3
x + 3y - z = 4
3x + 4y - z = 5
Rewrite the system in matrix form and solve it by Gaussian Elimination (Gauss-Jordan elimination)
2 1 -2 -3
1 3 -1 4
3 4 -1 5
R1 / 2 → R1 (divide the 1 row by 2)
1 0.5 -1 -1.5
1 3 -1 4
3 4 -1 5
R2 - 1 R1 → R2 (multiply 1 row by 1 and subtract it from 2 row); R3 - 3 R1 → R3 (multiply 1 row by 3 and subtract it from 3 row)
1 0.5 -1 -1.5
0 2.5 0 5.5
0 2.5 2 9.5
R2 / 2.5 → R2 (divide the 2 row by 2.5)
1 0.5 -1 -1.5
0 1 0 2.2
0 2.5 2 9.5
R1 - 0.5 R2 → R1 (multiply 2 row by 0.5 and subtract it from 1 row); R3 - 2.5 R2 → R3 (multiply 2 row by 2.5 and subtract it from 3 row)
1 0 -1 -2.6
0 1 0 2.2
0 0 2 4
R3 / 2 → R3 (divide the 3 row by 2)
1 0 -1 -2.6
0 1 0 2.2
0 0 1 2
R1 + 1 R3 → R1 (multiply 3 row by 1 and add it to 1 row)
1 0 0 -0.6
0 1 0 2.2
0 0 1 2
x = -0.6
y = 2.2
z = 2
Can the sides of a triangle have lengths 2.4, 6.5, and 7.4?
Answers
Answer:
yes.
Step-by-step explanation:
2.4 + 6.5 = 8.9 (triangle inequality)
8.9 > 7.4
= it is possible to make a triangle wit these measurements.
This please asapppppp
Answers
Answer:
C.
Step-by-step explanation:
Answer:
A
Step-by-step explanation:
You would just have to find the opposite of cube root which is cubed so that means a is correct
It was Sarah's job to fill her neighbor's bird feeders with sunflower seeds while they were on vacation.
She was given 12 cups of seeds to fill the 3 bird feeders. She filled the bird feeders for a whole week.
How many cups of seeds did Sarah put in each bird feeder each day?
Answer with a explanation
Answers
Answer:
The number of cups of seeds that Sarah put in each bird feeder each day is:
= 4/7 or 0.57 cups.
Step-by-step explanation:
a) Data and Calculations:
Number of cups of seeds = 12 cups
Number of bird feeders = 3
Therefore, each bird feeder will get 12/3 = 4 cups per week
In a week, there are 7 days.
This implies that each bird feeder will get 4/7 cups
This is equivalent to 0.57 cups for each bird feeder per day.
b) Sarah will be putting 4/7 cups of seeds in each bird feeder. When 4/7 is multiplied by 3 *7, we get a total of 12 cups, which represent the total number of cups of seed given initially to Sarah.
Answer:
The number of cups of seeds that Sarah put in each bird feeder each day is: = 4/7 or 0.57 cups.
Step-by-step explanation:
translate the given relationship of two quantities into a variation statement.
Answers
Answer:
Not sure
Step-by-step explanation:
which is the correct answer?
Note: (if you give me a silly or absurd answer I will report you)
Answers
Answer:
I'm not sure but I think it is letter A
Step-by-step explanation:
Because first off 0 is divisible by any integer number meaning it has to be divide by a whole number not fraction. Also, 0 + 2 = 2 then you divide that by 4 is 0.5.
if yall help me i well help you
Answers
Answer:
The answer is D because it wants the total distance covered on the three days, not how many he walked per day (which would be B)
Step-by-step explanation:
I hope this helped :)