The mass of a cube, M (kg), is proportional to the cube of the length of its edge, L(m). The mass of the cube is 80 kg when the length of its edge is 35 cm. Work out M (to 2 DP) when L=0.3 m

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

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

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.

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

♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️

[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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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:

$2754.70

Step-by-step explanation:

Answer:

C.

Step-by-step explanation:

I believe it is C.

Answer:

We are given:

μ=180,σ=25,n=100

Therefore the standard error of the mean is

2.5

Step-by-step explanation:

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

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)

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.

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

Step-by-step explanation:

25÷100 as it is percentage and any thing percentage is ÷by 100. 25÷100×51=12.75

Answer:

250

Step-by-step explanation:

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]

Equation: 9× J= 108

Answer :J=12

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

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

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.

First, we need to create a model for the work done and how much she earned.

The 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;

x = 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.

Read more:

https://brainly.com/question/24392720

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.

Answer:

2|–9| – |–2|

= 2(+9) -( +2)

= 2(+9) - 2

= 16

Answer is option A.

Hope it helps....... plz mark as brainliest

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

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

Answer:

Meeeeeeeeeeeeeeeeeeeeeee

$300 to $400

Step-by-step explanation:

Answer:

I think that it is 120 but not sure

Step-by-step explanation:

sorry if wrong

Answer:

Step-by-step explanation:

(a). - 5t² + 35t - 60 = 0

(b). (x - 3)(x - 4) = 0

(c). t = 3, 4

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:

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)

So, the vertices of U', T' and V' will be:

Therefore, option A) is correct.