if the smaller of two consecutive intergers is subtracted from two times the larger then the result is 17 . find the intergers

Expressions equivalent to 'log 2 - log 6' are based on the property of logarithms that states 'log a - log b' is equivalent to 'log (a/b)'. Thus, the equivalent expression is 'log (1/3)'.

The expressions equivalent to log 2 - log 6 can be found using the property of logarithms that deals with the difference of logarithms. According to this property, log a - log b is equivalent to log (a/b). Therefore, one equivalent expression for log 2 - log 6 would be log (2/6), which can be simplified to log (1/3).

Answer:

50 + 200 - [2(12) + 2(26)] is the correct option

Saylor Henshaw invested $1600.

To find out how much money Saylor Henshaw invested, we can use the formula for simple interest:

Interest = Principal × Rate × Time

In this case, Saylor earned $120 in 9 months at an annual interest rate of 5%.

Let's assume the principal amount is P.

Using the formula:

120 = P × 0.05 × (9/12)

Simplifying the equation, we have:

P = 120 ÷ 0.05 × 12/9

P = $1600

So, Saylor Henshaw invested $1600.

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The answer is; c.) checks!

divide 2 3/8 inches by 2

 2 /2 = 1

3/8 /2 = 3/16

change was - 1 3/16

It will take approximately 0.72 years for $1,000 to accumulate to $1,900 at a simple interest rate of 12 ½%.

To find out how long it will take for $1,000 to amount to $1,900 at a simple interest rate of 12 ½%, we can use the simple interest formula:

Interest = Principal × Rate × Time

Where:

Substituting the values into the formula:

Interest = $1,900 - $1,000

$1,900 - $1,000 = $900

$900 = $1,000 × 0.125 × Time

To find Time, we can rearrange the formula:

Time = $900 / ($1,000 × 0.125)

Time = 0.72 years

Therefore, it will take approximately 0.72 years for $1,000 to accumulate to $1,900 at a simple interest rate of 12 ½%.

Final answer:

The Junior Soccer League will need a total of 14 vans to transport 160 people, with 4 people left over after filling the 13th van.

Explanation:

To calculate the number of 12-person vans needed for the Junior Soccer League event, we first need to determine the total number of people that require transportation. This includes both players and coaches.

We have 146 players and 14 coaches, giving us a total of 160 people. If each van holds 12 people, the next step is to divide the total number of people by the capacity of the van.

160 ÷ 12 = 13 vans with 4 people left over because 12 vans can only carry 144 people (12 × 12), and 16 people are remaining, which requires another van to accommodate them.

So, the league will need a total of 14 vans for transportation, and there will be 4 people left over after filling the 13th van.

The probability of an event is defined as the possibility of an event occurring against sample space.

Let us tackle the problem.

A survey asks 1200 workers → n = 1200

Thirty-five percent of those survey selected → p = 35% = 0.35

To find the mean of a binomial distribution, we can use the following formula:

[tex]Mean = n \times p[/tex]

[tex]Mean = 1200 \times 0.35[/tex]

[tex]\boxed {Mean = 420}[/tex]

To find the variance of a binomial distribution, we can use the following formula:

[tex]Variance = n \times p \times (1 - p)[/tex]

[tex]Variance = 1200 \times 0.35 \times (1 - 0.35)[/tex]

[tex]Variance = 1200 \times 0.35 \times 0.65[/tex]

[tex]\boxed {Variance = 273}[/tex]

To find the standard deviation of a binomial distribution, we can use the following formula:

[tex]Standard ~ Deviation = \sqrt{Variance}[/tex]

[tex]Standard ~ Deviation = \sqrt{273}[/tex]

[tex]\boxed {Standard ~ Deviation \approx 17}[/tex]

Grade: High School

Subject: Mathematics

Chapter: Probability

Keywords: Probability , Sample , Space , Six , Dice , Die , Binomial , Distribution , Mean , Variance , Standard Deviation

Answer:

the Answer is. A 1/7

Step-by-step explanation:

i did the test

Answer would be D

, you need to divide the total distance by the spacing to find total markers

Answer:

Your answer is D. 30 divided by 0.2 = n.

Step-by-step explanation:

Divide 30 by 0.2 and you get your correct answer.

Answer:

12 ways

Step-by-step explanation:

We know that,

When the cube is rolled,

Possible ways = 6 ( i.e. 1, 2, 3, 4, 5 or 6 ),

While, when a penny is flipped,

Possible ways = 2  ( i.e. head or tail ),

Thus, when the cube and penny flipped one time,

Total possible ways = 6 × 2 = 12

( i.e, 1H, 2H, 3H, 4H, 5H, 6H, 1T, 2T, 3T, 4T, 5T or 6T )

The distributive property is used to multiply 7 by each term inside the parentheses (4n, -5m, -2) resulting in the expression 28n - 35m - 14.

To apply the distributive property to the expression 7(4n-5m-2), you multiply each term inside the parentheses by 7. The distributive property allows us to multiply a single term outside a parenthesis with each term inside the parenthesis, effectively distributing the multiplication.

Therefore, the product written as a sum, using the distributive property, is 28n - 35m - 14.

The equation of parabola is y = ( x - 2 )² + 3

What is a Parabola?

A Parabola, open curve, a conic section produced by the intersection of a right circular cone and a plane parallel to an element of the cone. A parabola is a plane curve generated by a point moving so that its distance from a fixed point is equal to its distance from a fixed line

The equation of the parabola is given by

( x - h )² = 4p ( y - k )

where ( h , k ) is the vertex and ( h , k + p ) is the focus

y is the directrix and y = k - p

The equation of the parabola is also given by the equation

y = ax² + bx + c

where a , b , and c are the three coefficients and the parabola is uniquely identified

Given data ,

The vertex of the parabola is given as A ( 2 , 3 )

Now ,

The equation of parabola is given by

y = a ( x - h )² + k

where the vertex of the parabola is A ( h , k )

a = 1

So , substituting the values of vertex in the equation of parabola , we get

y = ( x - 2 )² + 3

Hence , the equation of parabola is y = ( x - 2 )² + 3

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Take the limit as x approaches 8 to get the answer of 9.

To find the limit of (x² - 64) / (x² - 8x) as x approaches 8, we can simplify the expression by factoring and cancelling common factors.

First, we factor in the numerator and denominator:

x² - 64 = (x + 8)(x - 8) and x² - 8x = x(x - 8).

Now we can cancel the common factor of x - 8 to simplify the expression: (x + 8)/(x).

Now, we can take the limit as x approaches 8:

Lim(x→8) (x + 8)/(x) = 8 + 8/8

                             = 9.

So the limit of the given expression as x approaches 8 is 9.

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Final answer:

To model the situation, use the rule t = 12 + 8(n - 1), where n is the number of trucks. Applying this rule, 7 trucks can carry a total of 60 tons of dirt.

Explanation:

The student should write a rule to model the situation where the first truck carries 12 tons of dirt and each subsequent truck carries 8 tons. The rule can be defined as t = 12 + 8(n - 1), where n represents the number of trucks and t represents the total tons of dirt carried. For 7 trucks, we can plug in the value of n into the equation:

t = 12 + 8(7 - 1)

t = 12 + 8(6)

t = 12 + 48

t = 60 tons

Therefore, 7 trucks can carry a total of 60 tons of dirt.