Answer:
67
Step-by-step explanation:
Answer:
there asking you what the veritable represent
Help asap please!!!
The temperature in Smallville is 30°F one morning. It rises 10 over 5 hours. The equation y = 2x+ 30 was given to represent this situation.
Which of the following tables demonstrates the relationship between the time and temperature in Smallville?
A x 0 1 2 . y 0 2 4
B x 0 1 2 . y 30 32 34
C x 30 35 40 . y 0 1 2
D x 30 32 34 . y 0 1 2
Considering the given linear function, it is found that table B represents the situation.
What is a linear function?A linear function is modeled by:
\(y = mx + b\)
In which:
m is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.b is the y-intercept, which is the value of y when x = 0.In this problem, the function is given by:
y = 2x + 30.
Hence, the y-intercept is of b = 30, that is, when x = 0, y = 30, and the slope of m = 2 means that when x increases by 1, y increases by 2, hence table B is the answer for this question.
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Sam asks five of his friends in his accelerated ELA class.
He finds that the average number of books read for this sample was 6.
Give two reasons why this sample might not be representative of the population that Sam is
trying to study
Answer:
1) Sam only interviewed five people out of his entire ELA class, so he doesn't have a very wide demographic to study
2) All of these people were Sam's friends, so they might all have similar interests or only enjoy certain things, and that doesn't allow for a wide range of data collection
when luke gets paid he checks his bank account and has $600 he is earning 1.5% interest per year on this account how much money has he earned in interest after one year
Answer:
Luke has earned $9 in interest after one year.
Step-by-step explanation:
To calculate how much money Luke has earned in interest after one year, we can use the formula for simple interest:
I = P * r * t
where:
I is the interest earned
P is the principal (the initial amount of money)
r is the interest rate expressed as a decimal
t is the time period in years
In this case, we have:
P = $600 (the initial amount of money)
r = 0.015 (1.5% interest rate expressed as a decimal)
t = 1 (one year)
Plugging these values into the formula, we get:
I = $600 * 0.015 * 1 = $9
Therefore, Luke has earned $9 in interest after one year.
For more help:
Here are the steps to calculate how much money Luke has earned in interest after one year:
Step 1: Identify the given information
Read the problem carefully and identify the relevant information. In this case, we are told that Luke checks his bank account and finds that he has $600 in it. We are also given that he is earning 1.5% interest per year on this account.
Step 2: Identify the formula to use
The formula for simple interest is:
I = P * r * t
where:
I is the interest earned
P is the principal (the initial amount of money)
r is the interest rate expressed as a decimal
t is the time period in years
In this case, we are given the values of P, r, and t, so we can use this formula to calculate the interest earned.
Step 3: Plug in the values
Now we can plug in the values that we identified in Step 1 into the formula from Step 2.
I = P * r * t
I = $600 * 0.015 * 1
Simplifying the right-hand side:
I = $9
Step 4: Interpret the answer
The final answer is $9, which represents the interest earned by Luke on his $600 bank account after one year.
Hope this helps, if not I'm sorry. If you need more help (or have questions) feel free to ask me! :]
3 1/3(2 1/5x-4 2/3) - 5 5/6=0, solve please
Based on the task content given; the solution to the equation for x 3 1/2(2 1/5x - 4 2/3) - 5 5/6 = 0 is 2 203/231
Simplification3 1/2(2 1/5x - 4 2/3) - 5 5/6 = 0
open parenthesis(3 1/2 × 2 1/5x) - (3 1/2 × 4 2/3) - 5 5/6 = 0
(7/2 × 11/5x) - (7/2 × 14/3) - 35/6 = 0
77/10x - 98/6 - 35/6 = 0
77/10x = 98/6 + 35/6
77/10x = 98+35 / 6
77/10x = 133/6
x = 133/6 ÷ 77/10
= 133/6 × 10/77
= 1330/462
x = 2 406/462
= 2 203/231
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The diagram shows a shape made from a solid cube and a solid cylinder.
The cube has sides of length 8.7 cm.
The cylinder has a radius of 2.7 cm and a height of 4.9 cm.
Calculate the total surface area of the solid shape.
Give your answer correct to 3 significant figures.
The total surface area of the solid shape made from the cube and cylinder is approximately 583.31 cm².
How to calculate the areaThe side length of the cube is 8.7 cm, so the surface area of one face is A = 8.7²
= 75.69 cm²
Since there are six faces, the total surface area of the cube is 6 * 75.69 = 454.14 cm²
Since there are two circular bases, the total surface area of the bases is 2 * 22.91 = 45.82 cm².
In this case, the radius of the cylinder is 2.7 cm and the height is 4.9 cm, so the curved surface area is A_curved = 2 * π * 2.7 * 4.9 ≈ 83.35 cm².
Total surface area = surface area of the cube + surface area of the cylinder
Total surface area = 454.14 cm² + 45.82 cm² + 83.35 cm²
Total surface area ≈ 583.31 cm²
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Rewriting 3x^2=6x and solving with rewritten
Answer:
x = 0 , x = 2
Step-by-step explanation:
3x² = 6x ( subtract 6x from both sides )
3x² - 6x = 0 ← factor out 3x from each term
3x(x - 2) = 0
equate each factor to zero and solve for x
3x = 0 ⇒ x = 0
x - 2 = 0 ( add 2 to both sides )
x = 2
solutions are x = 0 , x = 2
What is the vertical displacement of the basic graph to produce a graph of
OA Sunits down
B. 2 units down
OC units down
OD
units up
SUBMIT
The vertical displacement is of 2 units down, the correct option is B.
What is the vertical displacement?Remember that for a function f(x), a vertical displacement of N units is written in general form as:
g(x) = f(x) + N
If N > 0, the translation is upwards.
if N < 0, the translation is downwards.
Here we assume that we start with the parent cosine function:
y = cos(x)
And the transformed function is:
y = -2 - cos(x - π)
So we have some transformations, but the vertical translation is of 2 units down. So the correct option is B.
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6. If Jeremy has a batting average
of 0.5014
and Alex has a batting average of 0.50098
who has the better average?
What is the expected value for the binomial
distribution below?
1/3125
4/625
32/625
128/625
256/625
1024/3125
999.224
Step-by-step explanation:
Expected value = Summation of (x•px)
px is addressed as pdf (probability distribution function)
x px. x•px
1. 1/3125. 1/3125
20. 4/625. 16/125
160. 32/625. 1024/125
640. 128/625. 16384/125
1280. 256/625 65536/125
1024. 1024/3125. 335.544
total:. 1. 999.224
taking my pdf as x/3125
The expected value of the binomial distribution is 4
How to determine the expected value?The expected value of a binomial distribution is calculated using:
\(E(x) = \sum x * P(x)\)
Using the table of values, we have:
\(E(x) = 0 * 1/3125 + 1 * 4/625 + 2 * 32/625 + 3 * 128/625 + 4 * 256/625 + 5 * 1024/3125\)
Evaluate the expression
E(x) = 4
Hence, the expected value of the binomial distribution is 4
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Bandhan Bank employee salary after 10 years
Answer:
- Banking Operations salary in India with less than 1 year of experience to 10 years ranges from ₹ 1.4 Lakhs to ₹ 7 Lakhs with an average annual salary of ₹ 3.1 Lakhs based on 261 latest salaries
Solve for v:
5(5v + 4) = 17v + 8v+ 9 + 9
Omg Pleasssee Help Me
Answer:
5(5v+4)=17v+8v+9+9
25v+20=25v+18
25v-25v=18-20
0v=-2
i think soooo
this question is very very irrelevant
Step-by-step explanation:
Fully simplify and subtract this
Answer:
-x²³ - 5xy² + y² + 5x²y/3 -X 3 (x-y) (x² - y²)
Step-by-step explanation:
cuz of my handy calculator
5.3 MATHEMATICS HOLIDAY PACKAGE-TERM 2(2023) Instructions: Attempt ALL items 1. Your family has seven siblings; peter, John, Sarah, Joy, Ali, Mary and Ivan. There is an interval of 2 years between the ages of the children from Ivan to peter. Ivan is three years old. Task: Using an arrow diagram, explain the information about your family.
solve the quadratic equation 3x^2 - 9x + 1 = 0 Give answer to 3 significant figures
Answer:
Either, (9+√69)/6 or (9-√69)/6
Step wise:
3x²-9x+1=0-------------------(i)
comparing equation onw with (ax²+bx+c=0), we get,
a=3, b=-9, c=1
now,
using Quadratic Formula,
(-b±√b²-4ac)/2a=x
{-(-9)±√(-9)²-4.3.1}/2.3=x
(9±√81-12)/6=x
(9±√69)/6=x
Taking +(ve) sign Taking -(ve) sign
(9+√69)/6=0 (9-√69)/6=0
∴(9+√69)/6=0 ∴(9-√69)/6=0
[∵They cannot be further solved]
The solutions to the given quadratic equation are x = 2.884 and
x = 0.116.
What is a quadratic equation?The equation of the form ax² + bx +c is known as a quadratic equation.
The given equation is 3x² - 9x + 1 =0.
Solve the equation as follows:
3x² - 9x + 1 =0
Use the quadratic formula to solve the equation:
\(x = \frac{-(-9)\pm\sqrt{(-9)^2-4(3)(1)}}{2(3)}\\\\x= \frac{9\pm\sqrt{81-12}}{6}\\\\x=\frac{9\pm\sqrt{69}}{6}\\\\x = \frac{9\pm8.306}{6}\\\\x=\frac{9+8.306}{6}\quad\text{ or }x=\frac{9-8.306}{6}\\\\x=2.884\quad\text{ or }x=0.116\)
Hence, the solutions to the given quadratic equation are x = 2.884 and
x = 0.116.
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Write an explicit formula for the sequence.
-4,7,-10,13,-16
Step-by-step explanation:
Sequence is
4
,
7
,
10
,
13
,
16
,
.
.
.
a
1
=
4
,
a
2
=
7
,
a
3
=
10
,
.
.
.
If it is Arithmetic sequence,
a
2
−
a
1
=
a
3
−
a
2
=
a
4
−
a
3
& so on
In the given sum,
a
2
−
a
1
=
7
−
4
=
3
a
3
−
a
2
=
10
−
7
=
3
a
4
−
a
3
=
13
−
10
=
3
Since the difference between the successive terms is same and
hence
common difference
d
=
3
What is the y-intercept of f(x) =
100-(3) * ?
5
A. (1,0)
B. (0,0)
(¹3)
D. (0, 1)
C.
Answer:
X intercepts: (100/3,0)
Y intercepts: (0,100)
Please help me with this question and please show me step by step and the frmula used.
By interpretating the graph of a quadratic equation, the initial height of the ball is equal to 5 feet above ground.
How to determine the initial height of the ball
In this problem we must determine the initial height of the ball according to a graph, whose form resembles quadratic equations. Graphically speaking, the initial height is the y-coordinate of the y-intercept. First, the coordinates of the y-intercept of the equation are:
(t, h) = (0 s, 5 ft)
Second, the final height of the ball is equal to:
h = 5 ft
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A company that makes fire truck sells each ladder truck for 300,000 if it sold 20 ladder truck last month how much from those sales?
Regan won the grand prize at a store giveaway. The grand prize winner is guaranteed to win at least $500 in cash and prizes.
A. List three possible dollar amounts in cash and prizes Regan can win
B. Write an inequality to represent the dollar amounts d in cash and prizes Regan can win.
An inequality to represent the dollar amounts d in cash and prizes Regan can win is p + d ≥ 500.
What are inequalities?Inequalities are the mathematical expressions in which both sides are not equal. In inequality, unlike in equations, we compare two values. The equal sign in between is replaced by less than (or less than or equal to), greater than (or greater than or equal to), or not equal to sign.
Given that, Regan won the grand prize at a store giveaway. The grand prize winner is guaranteed to win at least $500 in cash and prizes.
Let d represent the amount of cash in dollars and p represent the amount of prizes.
Since the grand prize winner is guaranteed to win at least $500,
So, p + d ≥ 500
Therefore, an inequality to represent the dollar amounts d in cash and prizes Regan can win is p + d ≥ 500.
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Someone plzz help you get 10 points.
Jason wants to solve the following system using the elimination method:
x + 3y = 10
2x + y = 5
What number should the equation 2x + y = 5 be multiplied by to eliminate y?
a. 2
b. -3
c. -2
d. 3
Answer:
No single Correct answer. Both b and d will work
Step-by-step explanation:
You want to get rid of y.
The first equation has a 3 in front of the y
Therefore you would have to multiply the second equation by 3 or - 3
If you use -3 you would add the two equations
If you use 3 you would subtract the two equations.
It is either b or d. Both will give you the same answer.
- Three
x + 3y = 10
-6x - 3y = - 15 Add
-5x = - 5 Divide by - 5
x = -5/-5
x = 1
+ Three
x + 3y = 10
6x + 3y = 15 Subtract
-5x = - 5
x = -5/-5
x = 1 Same thing.
1. Find the missing length. Round to the
nearest tenth
Please help
Answer:
5.7
Step-by-step explanation:
a^2+b^2=c^2
Convert 413 in base 5 to base 10
Answer:
108
Step-by-step explanation:
4×5² + 1×5¹ + 3×5⁰
4×25 + 5+ 3×1
100+5+3
For two n by n square matricies A and B,
suppose rankA = rankB = n-1.
Can rank(AB) become less than n-1 ?
(e.g. rank (AB) = n-2)
If so, I humbly ask you for an example.
Thank you very much.
No, the rank of the product of two n by n square matrices A and B, denoted as AB, cannot be less than n-1 if both A and B have ranks of n-1.
According to the Rank-Nullity theorem, for any matrix M, the sum of its rank and nullity is equal to the number of columns in M. In this case, the number of columns in AB is n, so the sum of the rank and nullity of AB must be n.
If rank(A) = rank(B) = n-1, it means that both A and B have nullity 1. The nullity of a matrix is the dimension of its null space, which consists of all vectors that get mapped to the zero vector when multiplied by the matrix. Since both A and B have rank n-1, their null spaces consist only of the zero vector.
Now, considering AB, if the rank of AB were less than n-1, it would mean that the nullity of AB is greater than 1.
However, this would violate the Rank-Nullity theorem since the sum of the rank and nullity of AB must be n, which is the number of columns.
Therefore, if rank(A) = rank(B) = n-1, the rank of AB cannot be less than n-1.
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The marginal cost (dollars) of printing a poster when x posters have been printed is given by the following equation. C'(x)=x^-3/4 Find the cost of printing 142 more posters when 18 have already been printed.
The cost of printing 142 more posters when 18 have already been printed is $________.
(Round to the nearest cent as needed.)
Answer:
The cost of printing 142 more posters when 18 has already been printed is $5.57.
Step-by-step explanation:
We are given that the marginal cost (dollars) of printing a poster when x posters have been printed is given by the following equation C'(x)=x^-3/4.
The given equation is: \(C'(x) = x^{\frac{-3}{4} }\)
The cost of printing 142 more posters when 18 have already been printed is given by;
Integrating both sides of the equation and using the limits we get;
\(\int_{a}^{b} C'(x) dx=\int_{18}^{142} x^{\frac{-3}{4}}dx\)
As we know that \(\int\limits {x}^{n} \, dx = \frac{x^{n+1} }{n+1}\) , so;
= \(\frac{x^{\frac{-3}{4}+1 } }{\frac{-3}{4}+1 } ]^{142} __1_8\)
= \(\frac{x^{\frac{1}{4} } }{\frac{1}{4} } ]^{142} __1_8\)
= \(4[x^{\frac{1}{4} } } ]^{142} __1_8\)
= \(4[(142)^{\frac{1}{4} }- (18)^{\frac{1}{4} }} ]\)
= $5.57
Hence, the cost of printing 142 more posters when 18 has already been printed is $5.57.
If the radius of the circle is 7 cm, find its area, rounded to 2 decimal places.
Answer:
14 :)
Step-by-step explanation:
Mrs. Smith made 6 ¼ dozen cookies for the birthday party. At the end of the party, there were 3 ½ dozen cookies left. How many cookies did the guests eat?
The guests in the birthday party ate 33 cookies.
How many cookies did the guests eat?We know that Mrs. Smith made 6 1/4 dozen cookies and there were 3 1/2 dozen cookies left.
Let's first convert these fractions to a common denominator of 4, so we can easily subtract them.
6 1/4 dozen = 25/4 dozen
3 1/2 dozen = 14/4 dozen
Now we can subtract the number of cookies that were left from the number of cookies that were made:
25/4 - 14/4 = 11/4 dozen
To find out how many cookies this represents, we need to multiply by the number of cookies in one dozen.
There are 12 cookies in one dozen, so:
11/4 x 12 = 33
Therefore, the guests ate 33 cookies.
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HELPPPPPPPP PLZZZZZZX
Answer:
ur answer should be BStep-by-step explanation:
PLEASES HELP ME OUT ON THIS
Answer:
the answer is D (hope this helps)
Step-by-step explanation:
11 - 5 = 6
Using exactly four 4's and any operation or symbols [+, -, *, /, (), x to the power of __], write an expression to equal each of the following:
1 = ________________ 4 = _______________ 7 = ________________
2 = ________________ 5 = _______________ 8 = ________________
3 = ________________ 6 = _______________ 9 = ________________
Answer:
1→ (4/4) / (4/4) = 1/1 = 1
2→ (4*4) / (4+4)= 16/8 = 2
3→ (4+4+4)/4 = 12/4 = 3
4→ (4-4)*4 + 4= 0*4 + 4= 4
5→ (4*4 +4) /4 = 20/4 =5
6→ 4+(4+4)/4 = 4+ 8/4 = 4+2 =6
7→ 4+4 -4/4 = 8-1=7
8→ 4+4+4-4=12-4=8
9→ 4+4 + (4/4)= 8+1 =9
Step-by-step explanation:
the dice was thrown 35 times and following numbers were obtained prepare frequency table51423266142545361526254132141626333
This table shows the frequency of each number obtained after throwing the die 35 times
How to prepare frequency tableTo prepare a frequency table based on the numbers obtained from throwing a die 35 times, we can list the numbers from 1 to 6 and count the frequency of each number.
Numbers: 1, 2, 3, 4, 5, 6
Frequency: 5, 14, 6, 4, 5, 1
Based on the given numbers, the frequency table would look like this:
Number | Frequency
1 5
2 14
3 6
4 4
5 5
6 1
This table shows the frequency of each number obtained after throwing the die 35 times.
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