Which situation relates to the graph?
A)
An airplane has 1 gallon of gas remaining, and 1 gallon of gas is used for
each additional 10 miles flown.
B)
An airplane has 1 gallon of gas remaining, and 10 gallons of gas is used for
each additional 1 mile flown.
An airplane has 10 gallons of gas remaining, and 10 gallon of gas is used
for each additional 1 mile flown.
D)
An airplane has 10 gallons of gas remaining, and 1 gallon of gas is used for
each additional 10 miles flown.

Answer:

The slope is 3

Hence the x-coordinate of the x- intercept is 2

Hence the y-coordinate of the y- intercept is -6

Step-by-step explanation:

We are to first write the statement  six less than triple some quantity as an expression:

let the quantity be x

Triple the quantity to have 3x

six less than triple some quantity will be expressed 3x - 6

The required function is f(x) = 3x - 6

This is in standard form of equation of a line y = mx+c

m is the slope

c is the y-intercept

Comparing 3x - 6 with mx+c

3x = mx

3 = m

m = 3

The slope is 3

x intercept occurs at when f(x) = 0

Substitute into f(x) = 3x-6

0 = 3x-6

-3x = -6

x = 2

Hence the x-coordinate of the x- intercept is 2

y intercept occurs at when x = 0

Substitute into f(x) = 3x-6

f(x) = 3(0)-6

f(x) = -6

Hence the y-coordinate of the y- intercept is -6

Answer: 0.3063 * 10^-1

Step-by-step explanation: hope this helps!

Answer:

[tex]x = 1500[/tex]

Step-by-step explanation:

[tex] \frac{x}{10} = 150[/tex]

Move 10 to multiply 150.

[tex]x = 150 \times 10 \\ x = 1500[/tex]

Answer Check

Substitute x = 1500 in the equation.

[tex] \frac{1500}{10} = 150 \\ 150 = 150[/tex]

The equation is true for x = 1500.

Therefore, the answer is x = 1500

Answer:

d. 6

Step-by-step explanation:

Answer:

D: 6

Step-by-step explanation:

The Main Rules Are:

1) A negative number times a negative number is a positive number.

2) A positive number times a positive number is a positive number.

3) A negative number times a positive number is a negative number.

This problem is read as negative 1 times negative 6. Any negative symbol in front of a parentheses would be read as negative 1. In other words, the problem reads -1(-6). Remember, a negative number times a negative number is a positive number. Multiplying negatives is no different than multiplying numbers greater than zero, you just change the sign of the answer. Lets read this as 1 times 6 which is 6. Therefore, -1 times -6 is 6.  

Hope that helped, as well as explained the concept :)  

Answer:

a,b,d,e

answered in the first question

The 2 angles total 120

The 2x angle is 120 - 70 = 50 degrees.

2x = 50

Divide both sides by 2:

x - 25

Answer:

[tex]2x + 70 = 120 \\2x = 120 - 70 \\ 2x = 50 \\ x = \frac{50}{2} \\ \boxed{x = 25}[/tex]

Answer:

its D

Step-by-step explanation:

got it right on edge

Answer:

d

Step-by-step explanation:

edge 2021

Answer: None of the choices is correct.

6,714÷103 is about 65.184

Step-by-step explanation:

The closest answer is the second choice. But there must be a typo in the question.

6,714÷100 = 67.14

I hope this helps. You might be able to ask your teacher about the mistake in the question.

Answer:

Step-by-step explanation:

3/5 is equivalent with 12/20, 30/50

3*4=12,   3*10=30

5*4=20,   5*10=50

Answer:

6 slices per cake

Step-by-step explanation:

you have 2 cakes and they have 12 total slices which means each cake has 6 slices

Answer:

(sqrt3)/3

Step-by-step explanation:

Answer:

(E) 16.1157

Step-by-step explanation:

Q has geometric distribution with p = 0.22

"Variance of Q" V(Q) = 1 - p / p²

V(Q) = 1 - 0.22 / 0.22²

V(Q) = 0.78 / 0.0484

V(Q) = 16.11570247933884

V(Q) = 16.1157

So, the Variance of random variable Q is 16.1157

This question is based on the variance. Hence, the correct option is D i.e. 16.1157 is closest to the variance of the random variable.

Given:

Community speak a language other than English at home  = 22 percent

Let random variable Q represent the number of attempts needed.

The random variable Q has a geometric distribution with p=0.22.

We need to determined the closest to the variance of random variable.

As we know that,

Q has a geometric distribution with p=0.22

Now calculate the variance of Q,

[tex]V(Q)=\dfrac{1-p}{p^{2} }[/tex]

[tex]V(Q)=\dfrac{1-0.22}{0.22^{2} }[/tex]

[tex]V(Q)=\dfrac{0.78}{0.484} }[/tex]

Therefore, the variance  V(Q) is 16.1157.

Hence, the correct option is D i.e. 16.1157 is closest to the variance of the random variable.

For more details, please refer this link:

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Answer:

180 - 132degrees

Step-by-step explanation:

interior angle

48 ?!?

no sure doee

hope it helps

there is no solution here. i checked, trust me.

The System of Equation have No Solution.

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides. LHS = RHS is a common mathematical formula.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given:

6x - 12y = 15................(1)

2x - 4y = 6...........(2)

Now, Multiply equation (2) by 3 we get

6x - 12y = 15

6x - 12y = 18

____________

           0 = -3

also, 6/2 = -12/ (-4) ≠ 15/6 which is parallel lines.

So, the equation have No solution.

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Given:

Sample mean = 65.4

Standard deviation = 1.2

Sample size = 45

Confidence level = 99%

To find:

The confidence interval.

Solution:

The formula for confidence interval is

[tex]CI=\overline{x}\pm z^*\dfrac{s}{\sqrt{n}}[/tex]

where, [tex]\overline{x}[/tex] is sample mean, z* is confidence value, s is standard deviation and n is sample size.

Confidence value or z-value at 99% = 2.58

Putting the given in the above formula, we get

[tex]CI=65.4\pm 2.58\times \dfrac{1.2}{\sqrt{45}}[/tex]

[tex]CI=65.4\pm 0.46[/tex]

[tex]CI=65.4-0.46\text{ and }CI=65.4+0.46[/tex]

[tex]CI=64.94\text{ and }65.86[/tex]

Therefore, the correct option is D.

Answer:

the answer is, 64.94 and 65.86

Step-by-step explanation:

Step-by-step explanation:

[tex]\huge{\underbrace{\overbrace{\mathfrak{\pink{Answer:}}}}}[/tex]

The binomial theorem states that for some a,b∈R and some k ∈Z+ ,

(a+b)k=∑n=0k(kn)ak−nbn.

The binomial series allows us to use the binomial theorem for instances when k is not a positive integer. The binomial series applies to a given function f(x)=(1+x)k for any k∈R with the condition that |x|<1 . It is stated as follows:

(1+x)k=∑n=0∞(kn)xn .

Note that the binomial theorem produces a finite sum and the binomial series produces an infinite sum.

The binomial series enables us to apply the binomial theorem when k is not a positive integer.

The binomial theorem (or binomial expansion) in elementary algebra describes the algebraic expansion of binomial powers.

The binomial theorem states that for some a,b∈R and some k ∈Z+ ,

(a+b)k=∑n=0k(kn)ak−nbn.

The binomial series allows us to use the binomial theorem for instances when k is not a positive integer. The binomial series applies to a given function f(x)=(1+x)k for any k∈R with the condition that |x|<1 . It is stated as follows:

(1+x)k=∑n=0∞(kn)xn.

Hence, when k is not a positive integer, we can use the binomial series to apply the binomial theorem.

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Hey there!

All you have to do is DISTRIBUTE

Here’s the formula:

a(b + c) = a(b) + a(c) = ab + ac

NOW LETS SOLVE FOR YOUR QUESTION

• 3a(a – 4b)

• 3a(a) + 3a(4b)

• 3a(a) = 3a² ⬅️ FRONT number

• 3a(4b) = 12ab ⬅️ BACK number

• Answer: 3a² + 12ab ☑️

Good luck on your assignment and enjoy your day!

~LoveYourselfFirst:)

Answer:

5x   y=0

Step-by-step explanation:

Answer:

40/x = y

Step-by-step explanation:

Inverse variation is of the form

y = k/x,

where k is a number.

The only choice that follows that form is 40/x = y which can be rewritten as y = 40/x

Answer: 40/x = y

Answer:

17 tkrnfuebdkrheejshdhfd

Answer:

3/5 are 6/10, 9/15 and 12/20.

Step-by-step explanation:

You would use d) power of a power because:

(Answer:

Which law would you use to simplify the expression (x^4)^9 ?

A)product of powers

B)power of a product

C)power of a quotient

D)power of a power

Step-by-step explanation:

x^4)^9

= (x^(4*(9))

= x^36

hope this helps

The law used to simplify the given expression (x⁴)⁹ is D) Power of a power law.

Exponents are the method of writing numbers, especially large numbers, in terms of a base and an exponent, which is written as the power of base.

Given expression is (x⁴)⁹.

Power of a power rule is the rule of the exponents which states that if a number in the base is raised to some power, which is again raised to another power, then both the powers will get multiplied leaving the base as same.

We can use this rule here, since the base x is raised to 4, which is again raised to 9.

Using the rule,

(x⁴)⁹ = (x)⁽⁴⁾⁽⁹⁾ = x³⁶

Hence the rule used is power of a power rule.

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Your question is incomplete. The complete question is as given below.

Which law would you use to simplify the expression (x⁴)⁹ ?

A)product of powers

B)power of a product

C)power of a quotient

D)power of a power

Answer:

3209

Step-by-step explanation:

Answer:

Insert the equations into desmos and then it will show you the lines.

Step-by-step explanation:

If not then use this as help:

Answer:

29,028.87

Step-by-step explanation:

Just add 8,707.37 and the height of Mt. McKinley.

Answer:

Im not sure so I'm going to I think it is a better a, c, and f

Answer:

C and F are the answers but I'm not sure

Answer:

Order of operations was not used correctly, Do what is inside the parenthesis first. So use the distributive property first and not subtraction.

Step-by-step explanation:

6-4(3-6x)+12x