Determine which integer will make the inequality x − 4 < 16 true.

S:{16}
S:{20}
S:{21}
S:{32}

Answer:

x≤8

Step-by-step explanation:

3x-1.5≤22.5

Move the constant to the right side and change its sign to the opposite.

3x≤22.5+1.5

Add up the numbers.

3x≤24

Divide.

x=24/3

x≤8

Answer:

x= 8

Step-by-step explanation:

So this is not as hard as it looks

the aim of this question is to work out what x is

so we need to find x on it's own

therefore we must work on removing the number on the right and to do this we first of all have to get a number that is divisible by 3.

now this is not always the case but I think you can tell from this question that it is obvious.

so what you do first is reverse the -1.5 into a positive and if it was the other way round so positive to a negative

so we do 1.5 + 22.5 which equals to 24

now this is simple division so 24 ÷ 3 = 8

therefore making the answer x = 8

Duval Street between latitudes (3,1) and (7,5). Val resides between coordinates (2, 15) and (-6, 3). Braxton Lane and Duval Street are not parallel or perpendicular.

Given that,

Mary resides on Duval Street between latitudes (3,1) and (7,5). On Braxton Lane, Val resides between coordinates (2, 15) and (-6, 3).

We have to find is Braxton Lane and Duval Street parallel or perpendicular.

To find the lines are parallel or perpendicular we have to find the slope of those points.

If slopes are equal then the lines are parallel.

If slopes are negative reciprocal then the lines are perpendicular.

We find the slope of Mary resides on Duval Street between latitudes (3,1) and (7,5).

m₁=[tex]\frac{y_{2} -y_{1} }{x_{2} -x_{1} }[/tex]

m₁=[tex]\frac{5 -1 }{7-3 }[/tex]

m₁=4/4

m₁=1

The slope of the Mary resides on Duval Street between latitudes (3,1) and (7,5) is 1.

We find the slope of Braxton Lane, Val resides between coordinates (2, 15) and (-6, 3).

m₂=[tex]\frac{y_{2} -y_{1} }{x_{2} -x_{1} }[/tex]

m₂=[tex]\frac{3 -15 }{-6-2 }[/tex]

m₂=-12/-8

m₂=3/2

The slope of the Braxton Lane, Val resides between coordinates (2, 15) and (-6, 3) is 3/2.

m₁≠m₂

Therefore, Braxton Lane and Duval Street are not parallel or perpendicular.

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The form:

y = a(x-h)^2 + k

Is the vertex form of the quadratic equation, by finding the vertex, we conclude that k = -1.

For any quadratic equation of the form:

y = a*x^2 + b*x + c

With a vertex (h, k), we can rewrite the equation as:

y = a*(x - h)^2 + k

And the value h of the vertex is given by:

h = -b/(2a)

In this case, the quadratic equation is:

y = 2x^2 - 8x + 7

Then the value h of the vertex is:

h = -(-8)/(2*2) = 2

Evaluating the quadratic equation in x = 2 we will get the value of k, so we have.

y = 2*(2)^2 - 8*2 + 7 = -1

Then the vertex is (2, -1), which means that the value of K is -1.

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The solution to the given exponential equation is; x = 6.48

We want to solve the exponential equation;

4^(x) = 7 - (3^x)

We can use logarithm or inverse of logarithm to solve this but in this case we will use the logarithm to get;

x log 4 = 7 - (x log 3)

x log 4 + x log 3 = 7

x(log 4 + log 3) = 7

1.08x = 7

x = 7/1.08

x = 6.48

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Answer:

-8

Step-by-step explanation:

A= - 48

B= 6

-48/6

= 8

Negative x Negative = Positive

Negative x Positive = Negative

Positive + Positive = Positive

The probability that exactly of them say job applicants should follow up within two weeks is 0.2291

Probability refers to potential. A random event's occurrence is the subject of this area of mathematics. The range of the value is 0 to 1. Mathematics has incorporated probability to forecast the likelihood of various events.

The binary probability distribution can be used to model the given issue.

Assume that X is a binomial random variable with the values n and p, where n is the total number of human resource managers that were randomly chosen and p is the likelihood that the chosen manager will advise job seekers to follow up within two weeks.

total human resource managers were chosen at random, n = 9

The likelihood that the chosen human resources manager will advise job seekers to follow up within two weeks = 57 (0.57)

As we are aware, the probability of "m" successes for a binomial distribution is calculated as -

[tex]P(X=m) = ^{n}C_{m} (p)^{m}(1-p)^{n-m} = \frac{n!}{m! (n-m)!}(p)^{m}(1-p)^{n-m}[/tex]

Using the aforementioned data, we can now calculate the likelihood that exactly 6 of the 9 applications who were chosen will advise job seekers to follow up within two weeks as follows:

n = 9

p = 0.57

m = 6

[tex]P(X=m) = \frac{n!}{m! (n-m)!}(p)^{m}(1-p)^{n-m}[/tex]

[tex]P(X=6) = \frac{9!}{6! (9-6)!}(0.57)^{6}(1-0.57)^{9-6}[/tex]

[tex]= \frac{9!}{6! 3!} (0.57)^{6} (0.43)^{3}[/tex]  = 0.2291 (rounded to 4 decimal places)

Therefore, the probability that exactly of them say job applicants should follow up within two weeks is 0.2291

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Answer:

20/3 batches of cookies can be made with 5 pounds of flour.

Step-by-step explanation:

given-

A recipe calls for 3/4 of a pound of flour to make 1 batch of cookies

asking-how many batches of cookies can be made with 5 pounds of flour

3/4 pound of flour=> 1 batch of cookies

then,

1 pound of flour=> 4/3 batch of cookies

so, required answer---

5 pound of flour=>5*( 4/3) batch of cookies

  =>20/3=6.66  batch of cookies

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Answer:

7.462

Step-by-step explanation:

Answer:

7 231/500 As a decimal

Step-by-step explanation:

To write 231/500 as a decimal you have to divide numerator by the denominator of the fraction.

We divide now 231 by 500 what we write down as 231/500 and we get 0.462

Hope this helps!

Answer:

Step-by-step explanation:

using the real question in the comments

If i = -1, what is the value of i^3?

i³

replace values

-1³ =

(-1)x(-1)x(-1)

-1

-----------

Fractions into Decimals-

15/5 = 3

Decimals into Fractions-

0.5 = 5/10

Place the decimal number above its place value to convert it to a fraction.

For instance, since the number six is in the tenths place in the fraction 0.6, we multiply it by 10 and get the comparable fraction 6/10.

Simplify the fraction if necessary.

The division is shown by the fractional bar between the "part" and the "whole."

By dividing the numerator by the denominator, any fractions can be transformed into decimals.

For instance, the fraction 45 denotes the ratio of 4 to 5, or 4/5.

By dividing 4 by 5, this fraction can be changed into a decimal.

Fractions into Decimals-

15/5 = 3

Decimals into Fractions-

0.5 = 5/10

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5 square root - 2 square root is 0.821854415 and it is rational.

Given,

5 square root - 2 square root

That is,

√5 - √2

We have to find this is rational or not.

First we have to solve the equation:

√5 - √2 = 0.821854415

Irrational numbers cannot be stated as a fraction, although rational numbers can be expressed as ratios (such as P/Q and Q0). However, both of the numbers are genuine and can be shown on a number line.

So, here 0.821854415 is a rational number.

That is, 5 square root - 2 square root is  rational.

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Answer:For the first one i only know the answer to the division problem i don't know how to do the box things but the division problem is 2,867 divided by 61=47 with no remainder.

           The second one is 3,353 divided by 75 =40 R 4

Answer:

Perpendicular lines: When a line intersects another line at exact 90 degrees the lines are said to be perpendicular to each other.

Parallel lines: When two lines are formed such that the two lines are never intersecting and no angle is formed is known as parallel lines.

In the picture, the polynomial equation is (3x-k)². The values of k=4 and p=-24.

Given that,

In the picture, the polynomial equation is (3x-k)²

We have to find the k value and p value if (3x-k)²=9x²+px+16

Polynomial means polynomial is formed composed of the phrases Nominal, which means "terms," and Poly, which means "many." An expression that consists of variables, constants, and exponents that is combined using mathematical operations like addition, subtraction, multiplication, and division is referred to as a polynomial (No division operation by a variable). The expression is divided into three categories: monomial, binomial, and trinomial depending on how many terms are included in it.

We get,

(3x-k)²=9x²+px+16

9x²-6xk+k²=9x²+px+16

We get,

p=-6k and k²=16

k²=16

k=4

Substitute in p=-6k

p=-6×4

p=-24

Therefore, the values of k=4 and p=-24.

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Answer:

. .........................

387.869911589 to 3 decimal places is 387.870.

A decimal is a number that is made up of integers and non-integers. The integers are separated from the non-integers by a decimal point.

In order to round off a number to 3 decimal places, there must be 2 numbers to the right of the decimal point.

In order to round off a number to 3 decimal places, if the ten thousandth figure is equal to five or greater than 5, one is added to the thousandth figure. If the ten thousandth figure is less than 5, there is no change in the thousandth digit.

The ten thousandth is greater than 9, so one is added to the thousandth digit. The number becomes 387. 870

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well, the amount paid was "x", which oddly enough is 100%, but we also know that 6% of that is $1.80, so

[tex]\begin{array}{ccll} amount&\%\\ \cline{1-2} x & 100\\ 1.80& 6 \end{array} \implies \cfrac{x}{1.80}~~=~~\cfrac{100}{6} \implies 6x=180\implies x=\cfrac{180}{6}\implies x=30[/tex]

Isolate the variable by dividing each side by factors that don't contain the variable.

[tex]-2.29(d+1)=-6.87[/tex]

[tex]d=2[/tex]

^Hence, our solution

________________________________________________

Hope this helps!

Answer:

Correct answer should be x= -6

Step-by-step explanation:

prove me wrong

The answer in simplest form is [tex]20\frac{30}{11}[/tex] .

Given fraction is [tex]5*4\frac{6}{11}[/tex].

So we convert the mixed fraction into an improper fraction to calculate further.

[tex]4\frac{6}{11} =\frac{50}{11}[/tex]

Next, we calculate the above fraction given in the question

[tex]5*\frac{50}{11}[/tex] = [tex]\frac{250}{11}[/tex]

So now we convert obtained improper fraction to mixed fraction which is its simplest form,

[tex]\frac{250}{11} = 20\frac{30}{11}[/tex]

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The constant of proportionality is 12.75

The constant of proportionality is the ratio of the constant values of two proportional quantities.

The direct variation is given by y = k x where k is the constant of proportionality.

Now the cost of 6 tickets is $76.50

76.50 = k × 6

or, k = 12.75

Therefore the constant of proportionality is 12.75

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Answer:

When a polynomial f(x) is divided by ax + b and f(a/b) = 0, ax - b is a factor of f(x).

Let 2x³ + x² + 2Ax + 4 be f(x).

f(1) = 0

Substitute x = 1 into the equation.

2(1)³ + (1)² + 2A(1) + 4 = 0

2 + 1 + 2A + 4 = 0

2A = -7

A = -7/2

Answer: The question, please?

Step-by-step explanation:

Answer:

y+5 = 1/5 (x+6)

Step-by-step explanation:

The point slope form looks like this.

y - y1 = m (x - x1)

the m represent slope and (x1, y1) are the coordinates of the point that the line passes through.

Answer:

X=17/24

Step-by-step explanation:

first you need to find common denominators. To find it, you would multiply the denominator of the 1 2/3 and the 2 3/8.8*3=24, which means the denominator is 24. For 1 2/3, we multiplied 3*8 so we also have to do it for 2. The new equation is x+1 16/24=2 3/8. But remember, we still have to multiply 8*3, which means we have to multiply 3*3 too.

New equation:x+1 16/24=2 9/24

Now we can subtract 1 16/24 from each side

X=17/24

The next term would be 3 then 1 in the sequence 243, 81, 27, 9,... by the term of sequence and series through mathematical sequencing.

A grouping of numbers in a kind of a specific order is known as a sequence. On the other hand, a series can also be described as the accumulation of a kind of a sequence’s constituent parts.

Basically, the sequence proceeds with a dividing term of 3. The sequence will go on with the square root of the previous number. Basically, from backward, the sequence is an exponential multiple of 3.

Mathematical sequence and series formulas pertain to several kinds of sequences and series. A series is the accumulation of elements in a sequence, which is a group of arranged elements that follow a pattern.

The formulas for the nth term and the sum are typically included in the sequence and series formulas.

A series is made up of all the elements in a sequence, while a sequence is a certain arrangement of elements in a specific order.

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