Answer:
M=K*L
(K is the constant we use)
when L=35cm, M=80,
meaning K=80/0.35=228.571428571
so when L=0.3
we do 0.3*228.571428571=68.5714285713
rounded to 2dp= 68.57kg
9514 1404 393
Answer:
50.38 kg
Step-by-step explanation:
The mass is proportional to the cube of edge length, So, if the edge length is decreased by a factor of 30/35 = 6/7, the mass is decreased by a factor of (6/7)³. That is, the smaller cube will have a mass of ...
(80 kg)(6/7)³ ≈ 50.38 kg
__
If you want to write an equation, you can write the equation for the proportionality:
M = kL³
80 kg = k(0.35 m)³
k = 80/0.35³ kg/m³
Then for the shorter length, we have ...
M = k(0.3 m)³ = 80(0.3/0.35)³ kg = 80(6/7)³ kg ≈ 50.38 kg . . . . as above
Solve the equation using the distributive property and properties of equality.
Negative 5 (a + 3) = negative 55
What is the value of a?
Answer:
6
Step-by-step explanation:
-5(a+3)=-55
-5a-15=-55
+15 +15
-5a=-40
/-5 /-5
a=6
Answer:
A = 8
Step-by-step explanation:
-5(a+3)=-55
-5a-15=-55
-5a=-40
-40/-5=8
a=8
Rewrite the function f(x)=2(x-1)^2-1 in the form f(x)=ax^2+bx+c
Answer:
2x^2-4x+1
Step-by-step explanation:
2(x-1)^2-1
2(x^2-2x+1)
2x^2-4x+2-1
2x^2-4x+1
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[tex]f(x) = 2 ({x - 1})^{2} - 1 [/tex]
[tex]f(x) = 2( {x}^{2} - 2x + 1) - 1[/tex]
[tex]f(x) = 2 {x}^{2} - 4x + 2 - 1 [/tex]
[tex]f(x) = 2 {x}^{2} - 4x + 1 [/tex]
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The cashier counts $2500in $100 bills. She exchanged all the $100 bills for $10 bills. How many $10 bills does she receive?
Answer:
250
Step-by-step explanation:
The college student senate is sponsoring a spring break Caribbean cruise raffle. The proceeds are to be donated to the Samaritan Center for the Homeless. A local travel agency donated the cruise, valued at $2000. The students sold 2629 raffle tickets at $5 per ticket. (a) Kevin bought forty-one tickets. What is the probability that Kevin will win the spring break cruise to the Caribbean
Answer: the probability that Kevin will win the spring break cruise to the Caribbean is 0.01559
Step-by-step explanation:
Given that;
the total number of raffle ticket sold by the student is 2629
Kevin bought 41 tickets
the probability that Kevin will win the spring break cruise to the Caribbean?
The required probability will be:
Probability
=(Number of favorable outcomes for an Event) / (Total Number of outcome)
so
probability = 41 / 2629
= 0.01559
Therefore the probability that Kevin will win the spring break cruise to the Caribbean is 0.01559
John's salary is $1600. Peter 's salary is $400 less than John's salary. Find the ratio Peter's salary to John's salary in the simplest form.
$300 to $400
Step-by-step explanation:
What's 2|–9| – |–2|?
A. 16
B. 20
C. -20
D. -18
Answer:
2|–9| – |–2|
= 2(+9) -( +2)
= 2(+9) - 2
= 16
Answer is option A.
Hope it helps....... plz mark as brainliest
I'm stuck on this math question attached
Pls help
Find the questions?
Answer:
Step-by-step explanation:
(a). - 5t² + 35t - 60 = 0
(b). (x - 3)(x - 4) = 0
(c). t = 3, 4
estion Determine the vertical asymptote(s) of the function. If none exists, state that fact. x + 3 f(x) – 10x²+ + 21x Select the correct choice below and, if necessary, fill in the answer box(es) to complete your choice. O A. The function has one vertical asymptote, (Type an equation.) and the rightmost asymptote is OB. The function has two vertical asymptotes. The leftmost asymptote is (Type equations.) O C. The function has three vertical asymptotes. The leftmost asymptote is (Type equations.) OD. The function has no vertical asymptotes. the middle asymptote is and the rightmost asymptote is
Answer:
C.
Step-by-step explanation:
I believe it is C.
simplify the expression.
-5+i/2i
Answer:
[tex] \rm - \dfrac{11}{2} [/tex]
Step-by-step explanation:
[tex] \rm Simplify \: the \: following: \\ \rm \longrightarrow - 5 + \dfrac{i}{2} i \\ \\ \rm Combine \: powers. \\ \rm \dfrac{i \times i}{2} = \dfrac{i^{1 + 1}}{2}: \\ \rm \longrightarrow - 5 + \dfrac{i^{1 + 1}}{2} \\ \\ \rm 1 + 1 = 2: \\ \rm \longrightarrow - 5 + \dfrac{i^2}{2} \\ \\ \rm i^2 = -1: \\ \rm \longrightarrow - 5 + \dfrac{( - 1)}{2} \\ \\ \rm \longrightarrow - 5 - \dfrac{1}{2} \\ \\ \rm Put \: - 5 - \dfrac{1}{2} \: over \: the \: common \: denominator \: 2. \\ \rm - 5 - \dfrac{1}{2} = \dfrac{2( - 5)}{2} - \dfrac{1}{2} : \\ \rm \longrightarrow \dfrac{ - 5 \times 2}{2} - \dfrac{1}{2} \\ \\ \rm 2 (-5) = -10: \\ \rm \longrightarrow \dfrac{ - 10}{2} - \dfrac{1}{2} \\ \\ \rm \dfrac{ - 10}{2} - \dfrac{1}{2} = \dfrac{ - 10 - 1}{2} : \\ \rm \longrightarrow \dfrac{ - 10 - 1}{2} \\ \\ \rm -10 - 1 = -11: \\ \rm \longrightarrow - \dfrac{11}{2} [/tex]
42.2 to the nearest whole number
Answer:
42
Step-by-step explanation:
If the decimal was 5 or higher, that means it would've been 43, but since it's lower than 4, it rounds down to 42.
Twenty five more than twice a number is fifty five. What is the number?
25 + 2x = 55
2x = 30
x = 15
The number is 15
Answer:
Step-by-step explanation:
If the number is 15 then twice is 30 then add 25 = 30 + 25 = 55
25 pounds of recyclable trash is % ? Of the barrel of 51 pounds of trash
Step-by-step explanation:
25÷100 as it is percentage and any thing percentage is ÷by 100. 25÷100×51=12.75
Suppose that R(x) is a polynomial of degree 7 whose coefficients are real numbers.
Also, suppose that R(x) has the following zeros.
-5-3i, 2i
Answer the following.
(a) Find another zero of R(x).
i
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(b) What is the maximum number of real zeros that R (x) can have?
(c) What is the maximum number of nonreal zeros that R(x) can have?
Help, these questions make no sense!
R(x) is a polynomial of degree 7, so it has up to 7 distinct complex roots r₁, ..., r₇, and we can write it in terms of these roots as
R(x) = (x - r₁) (x - r₂) ... (x - r₇)
The coefficients of R(x) are all real, so the roots must all be complex numbers, and any of these roots with non-zero imaginary parts must occur along with their complex conjugates. This means if a + b i is a root, then is a - b i is also a root.
(a) We're told that -5 - 3i and 2i are roots to R(x), so we also know that -5 + 3i and -2i are roots.
There are 4 roots accounted for, leaving us with 3 unknown roots. These roots cannot all be non-real, because we can only count 2 of them as a conjugate pair. So we can have either
(b) at most 3 real roots, or
(c) at most 2 non-real roots and 1 real root.
Can anyone thats really extremely excellent at math, history and english please help me out with my questions. Truly need help. Please only answer if you know how to. ( Just click on my name and go to my questions) answer.
Answer:
Meeeeeeeeeeeeeeeeeeeeeee
Who can help me with this for algebra 2
An accountant who is currently earning $42,380 annually expects a 6.5% raise. What is the amount of the
expected raise?
Answer:
$2754.70
Step-by-step explanation:
If you can do your homework at a rate of 3 minutes for every problem, how many problems
could be done after 4.81 hours? Round to a whole number.
Answer:
96.2
Step-by-step explanation:
well, it rounds up to 96, so the answer would be 96, but the actual answer is 96.2
reflection across y= -x
Answer:
option A) is correct.
Step-by-step explanation:
As we know that when we reflect across the line [tex]y=-x[/tex], the x-coordinate and y-coordinate would change places and be negated.
So the formula about the reflection across [tex]y=-x[/tex] will be:
(x, y) ⇒ (-y, -x)
From the graph, the vertices of the triangle are:
Vertex U = (-5, -2)Vertex T = (-3, -3)Vertex V = (-5, -5)As the rule of reflection across [tex]y=-x[/tex] will produce the image with the vertices T', U' and V' which are as follows:
(x, y) ⇒ (-y, -x)
U(-5, -2) ⇒ (-y, -x) = U' (2, 5) T(-3, -3) ⇒ (-y, -x) = T' (3, 3) V(-5, -5) ⇒ (-y, -x) = V' (5, 5)So, the vertices of U', T' and V' will be:
U' (2, 5) T' (3, 3) V' (5, 5)Therefore, option A) is correct.
The product of 9 and Jose's savings is 108. Use the variable j to represent Jose's savings. How do I translate the sentence into an equation.
Equation: 9× J= 108
Answer :J=12
Determine whether each sequence is an arithmetic sequence. Write yes or no. Explain. 7, 10, 13, 16, ...
Answer:
The given sequence is an arithmetic sequence.
Step-by-step explanation:
Given sequence is:
7, 10, 13, 16, ...
Here
[tex]a_1 = 7\\a_2 = 10\\a_3 = 13\\a_4 = 16[/tex]
In order for a sequence to be an arithmetic sequence the common difference between the consecutive terms of the sequence should be same. Common difference is denoted by d.
So,
[tex]d = a_2 - a_1 = 10-7 = 3\\d = a_3 - a_2 = 13-10 = 3\\d = a_4-a_3 = 16-13 = 3[/tex]
As we can see that the common difference is same for consecutive terms.
The given sequence is an arithmetic sequence.
ANSWER QUICK PLEASEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEE
Answer:
case a) y=1/3x+8
case b) y=-3x+28
Step-by-step explanation:
case a)
parallel lines has the same slope, then, the searched line has the form:
[tex]y=\frac{1}{3} x +b[/tex]
Now, in order to find b, we must use the given point (6,10). By substituying this point into the last equation, one has
[tex]10=\frac{1}{3} 6+b\\10=\frac{6}{3} +b\\10=2+b\\b=10-2\\b=8[/tex]
Then, the line equation is y=1/3x+8
case b)
the slope of a perpendicular line is the "negative reciprocal" of the slope of the original line, that is
[tex]m=-\frac{1}{\frac{1}{3} } \\m=-3[/tex]
Hence, the searched line has the form y=-3x + b. Now, in order to find the y-intercept b, we must use the given point (6,10). Therefore,
[tex]10=-3(6)+b\\10=-18+b\\b=10+18\\b=28[/tex]
Hence, the searced equation is y=-3x+28
Solve 1x = 7(x + 6).
Answer: answer is -7
Step-by-step explanation:
Step-by-step explanation:
Original Equation;
1x=7(x+6)
Multiply the 7 by the x and 6
1x=7x+42
Group like terms
1x-7x=42
-6x=42(Divide both sides by -6)
x= -7 (We have -7 because 42 can be divided by 6 7 times)
PLEASE HELP
WHAT ARE THE X AND Y INTERCEPTS!?!?
Answer:
X intercept is the point where the line meets the x. y intercept is the point where the line meets the y. So, the x intercept is -7.5 and the y intercept is 5.5.
Kara earned $136.75 last week working 16 hours. She earned $10.50 per hour at the fast food restaurant and $4.25 per hour helping her aunt clean her store.
How many hours did she work at the fastest food restaurant? How many hours did she help her aunt clean the store? In your response make sure to:
Create a model that can be used to determine the number of hours Kara worked at each job.
Define your variables.
Show all your work.
Answer:
First we are going to try to find how many hours she worked on the fast food restaurant so you multiply 4.25 time 16 and x
10.50x + 4.25(16-x) =136.75
10.50x + 68 - 4.25x= 136.75
Then, you subtract 68 from both sides and subtract 4.25x from 10.50x
6.25x=68.75
Divide
X=11 that is how many hours she worked at the FAST FOOD RESTAURANT
Then 16-11 and that gives us how many hours she helped her aunt.
ANSWER: she worked 11 hours at the fast food restaurant and 5 hours helping her aunt
Step-by-step explanation:
Here, we are required to determine how many hours Kara worked at the fastest food restaurant and how many hours did she help her aunt clean the store.
The number of hours worked by Kara in the restaurant is; 11hours.The number of hours worked by Kara in the restaurant is; 11hours.The number of hours worked by Kara in her aunt's store is; 5hours.First, we need to create a model for the work done and how much she earned.
Total earnings = $136.75Total hours worked = 16 hoursLet hours worked at the restaurant = xLet hours worked at the store = (16-x)Hourly rate at restaurant = $10.50Hourly rate at store = $4.25The model is therefore in the form;
$10.50(x) + $4.25(16-x) = $136.75
To determine the no. of hours worked at the fast food restaurant, we have to evaluate the value of x.
Therefore;
10.50x + 68 - 4.25x = 136.756.25x = 68.75x = 11
The number of hours worked by Kara in the restaurant is; 11hours.
The number of hours worked by Kara in her aunt's store is; (16 - 11) hours = 5hours.
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i need helppp!!
worth 10 points
Answer:
I think that it is 120 but not sure
Step-by-step explanation:
sorry if wrong
Suppose a population has a mean weight of 180 pounds and a standard deviation of 25 pounds. A sample of 100 items is drawn from this population. What is the standard error of the mean?
Answer:
We are given:
μ=180,σ=25,n=100
Therefore the standard error of the mean is
2.5
Step-by-step explanation:
The ______ identity is 1.
Answer:
I believe its ,multiplication
Step-by-step explanation:
because any number you multiply be one is one
mark brainliest if correct please
Answer:
multiplication
Step-by-step explanation:
Cause of Peter griffen
Which of the following values of x will result in an imaginary number for
√2x+7
x ≤ -4 will result in an imaginary number. (From the graph it's actually 3.5, so if you want to view in REAL number then it's x ≤ -3.5 which will result in imaginary numbers.)
But if you want an integer then It's x ≤ -4
Real Number as it's x ≤ -3.5
Convert 88 °F to Celsius Round your answer to the nearest tenth. °C
Answer:
Step-by-step explanationfor changing °F to °Cuse the formula
°C=(F-32)5/9
=(88-32)5/9
=56×5/9
=280/9
=31.11
So the value of nearest tenth is 31°c