The square of a certain negative number is equal to five more than one-half of that number. What is the number?
-2
-5/2
-1/2

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The solution to the inequality is 2x + y < 7 and the graph is plotted

Given data ,

Let the inequality equation be represented as A

Now , the value of A is

2x + y < 7

On simplifying the equation , we get

Let the point be P ( 2 , 3 )

2 ( 2 ) + 3 < 7

4 + 3 < 7

7 is not less than 7

So , it is not a solution to the inequality

Hence , the equation is 2x + y < 7

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Answer:

252

Step-by-step explanation:

18 divided by 2 =9 9x28=252

Answer:

  (e)  3x +5

Step-by-step explanation:

You want the width of a box if its volume is 21x² +14x -35, its length is 7, and its height is x-1.

The volume can be factored as ...

  21x² +14x -35 = 7(3x² +2x -5) = 7(3x +5)(3x -3)/3 = 7(x -1)(3x +5)

The volume is the product of length, width, and height. If length and height are 7 and (x-1), then width is the remaining factor: 3x +5.

The width of the boxes is 3x +5.

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Answer:

1426 bacteria

Step-by-step explanation:

The growth rate of 4.5% means that the bacterail population will grow by a facotr of 1.045 each year.  For the first year, this will result in (1250)*(1.045) =  1306 bacteria at the end of the year.  Let t be the days of growth, with t = 0 as the initial population.

The population at the end of year t is given by (Initial)*(1+rate)^t.

t = 0 at the end of the first day.  The initial value would be 1250 bacteria.  With a growth rate of 4.5, the population at the end of the next day (t = 1) is (1250 bacteria)*(1.045)^1 or 1306.

The end of the third day is (1250)*(1.045)^2 = 1365 bacteria.

The end of the fourth day is (1250)*(1.045)^3 = 1426 bacteria.

After t days, there will be (1250)*(1.045)^t bacteria.

The equation for the number of bacteria after t days is 1250 x\(1.045^t\)

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

Example: 2 + 3x + 4y = 7 is an expression.

We have,

Number of bacteria in a culture = 1250

The rate at which the bacteria is growing = 4.5%

Now,

100% + 4.5% = 104.5%

104.5% = 104.5/100 = 1045/1000 = 1.045

The equation for the number of bacteria after t days.

= 1250 x \(1.045^t\)

Thus,

The number of bacteria after t days is 1250 x \(1.045^t\).

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Answer:

Step-by-step explanation:

Answer:

khkatyyjajtzjyftkrtehemrk5u2w

Answer:

0.6508

Step-by-step explanation:

The standard normal distribution has a mean μ= 1 and standard deviation σ = 0

The area under the normal curve for any z value say Z i.e. P(z ≤ Z) can be read off from the Standard Normal Tables or just use a statistical calculator

Using a calculator is best
I see the lower z score as - 2.61 and the upper z score as 0.4

P(-2.61 ≤ z ≤ 0.4) = P(0.4) - P(-2.61)

P(z ≤ 0.4) = 0.65542

P(z ≤ -2.6) = 0.0045271

P(z ≤ 0.4) - P(z ≤ -2.6)  = 0.65542 - 0.0045271  = 0.6507588 = 0.6508 rounded to 4 decimal places

(Note: some calculators are able to directly compute the area between two z values)

Answer:

.

Step-by-step explanation:

The length of the arc s as required to be determined in the attached image is; 17.5 cm.

It follows from the task content that the length of the arc s is to be determined from the given information.

As evident in the task content, the angle subtended at the center of the two concentric circles is same for the 2cm and 5 cm radius circles.

On this note, it follows from proportion that the length of an arc is directly proportional to the radius of the containing circle.

Therefore, the ratio which holds is;

s / 5 = 7 / 2

s = (7 × 5) / 2

s = 17.5 cm.

Consequently, the length of the arc s is; 17.5 cm.

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Answer:

x>0 to graph put a circle on 0 and draw the line going to the right ---->

Step-by-step explanation:

Answer:

(2x-5)(3x+1)

Step-by-step explanation:

make brackets:

(    )(    )

(    )(    )

we no that since there is two minuses in the trinomial there will be one - and one +

there are two beacause 6 is 6*1 and 2*3

(2x-   )(3x+  )

(6x+  )(1x-    )

now use some ingenuity to find where 5 and 1 should go to complete

(2x-5)(3x+1)

(2x+5)(3x-1)

(2x-1)(3x+5)

(2x+1)(3x-5)

the first binomial is the answer

2x*3x = 6x^2

-5*+1 = -5

2x*1 = 2x

3x*-5 = -15x

6x^2 +2x - 15x - 5

6x^2 - 13x - 5

The value of the definite integral ∫(4et / (et+5)3) dt is: Option D: 0.031.

How to evaluate the given definite integral∫(4et / (et+5)3) dt? The given integral is in the form of f(g(x)).

We can evaluate this integral using the u-substitution method. u = et+5 ; du = et+5 ; et = u - 5

Let's plug these substitutions into the given integral.∫(4et / (et+5)3) dt = 4 ∫ [1/(u)3] du;

where et+5 = u

Lower limit = 0

Upper limit = ∞∴ ∫0∞(4et / (et+5)3) dt = 4 [(-1/2u2)]0∞ = 4 [(-1/2((et+5)2)]0∞= 4 [(-1/2(25))] = 4 (-1/50)= -2/125= -0.016= -0.016 + 0.047 (Subtracting the negative sign)= 0.031

Hence, the answer is option D: 0.031.

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Answer:

Yes, store's profit is proportional to number of customers

Step-by-step explanation:

Yes, the profit is proportional to the number of customers.

Profit = Revenue - Cost = (Price x Quantity) -  Cost

Profit = (0 x 20) + (3 x q) - c(20+q) : Where q refers to quantity beyond 20, & c is average cost per unit

Profit = 3q - 20c - cq = (3 - c)q + 20c

As 20c is constant, component of equation has coefficient 'q' which stands for quantity of sales ie number of customers

Answer:

Step-by-step explanation:

Given expression,

Now let's solve all the given option,

A.

B.

C.

D.

E.

Therefore, 2⁴.2⁴ is equivalent to 2⁸.

Answer:

option a 0.06 bared

It depends on the rotational speed of the wheel. To calculate this speed, we need to know the angular velocity of the wheel.

The maximum speed of a point on the outside of the wheel, 15 cm from the axle, if we assume that the wheel is rotating at a constant rate, we can use the formula v = rω, where v is the speed of the point on the outside of the wheel, r is the radius of the wheel (15 cm in this case), and ω is the angular velocity of the wheel. Therefore, the maximum speed of a point on the outside of the wheel would be directly proportional to the angular velocity of the wheel.
The formula to calculate the maximum linear speed (v) is:
v = ω × r
where v is the linear speed, ω is the angular velocity in radians per second, and r is the distance from the axle (15 cm, or 0.15 meters in this case).
Once you have the angular velocity (ω) of the wheel, you can plug it into the formula and find the maximum speed of a point on the outside of the wheel.

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Answer:

\(\frac{1}{2}\)×\(\frac{1}{4}\)=\(\frac{1}{8}\)

Step-by-step explanation:

This sentence isn't always true.

The trick is to use fractional numbers .

let's analyse this example :

1/2=0.5 and 1/4=0.25 but 1/8=0.125

0.125<0.25<0.5

The product of two positive numbers is less than either number i.e. 4 × (1/2) = 2 < 4 which counterexample shows that the conjecture is false.

A number system is defined as a way to represent numbers on the number line using a set of symbols and approaches. These symbols, which are known as digits, are numbered 0 through 9. Based on the basic value of its digits, different types of number systems exist.

Arithmetic operations can also be specified by subtracting, dividing, and multiplying built-in functions. The operator that performs the arithmetic operation is called the arithmetic operator.

* Multiplication operation: Multiplies values on either side of the operator

For example 12*2 = 24

We have been that conjecture "The product of two positive numbers is always greater than either number."

As per the given condition,

For example: 4 × (1/2) = 2 < 4

Therefore, the product of two positive numbers is less than either number i.e. 2 < 4.

Hence, the above counterexample shows that the conjecture is false.

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Answer:

  \(\displaystyle \text{series}=\sum_{n=0}^{\infty}{5\cdot(-2)^n}\)

Step-by-step explanation:

The first term is 5 and the common ratio is -2. The general term for n starting at 1 can be written as ...

  an = a1·r^(n-1)

If we start n at 0, then we can eliminate the -1 from the exponent:

  \(\displaystyle \text{series}=\sum_{n=0}^{\infty}{5\cdot(-2)^n}\)

Answer: 24

Step-by-step explanation:

Given

Simra has an 8-carat diamond

She cuts small pieces of \(\frac{1}{3}\) carat

Suppose she cuts x pieces of diamond

\(\therefore x=\dfrac{8}{\frac{1}{3}}\\\\\Rightarrow x=8\times 3\\\Rightarrow x=24\)

She has now 24 pieces of diamond.

The displacement of an object with velocity given by v(t) = -t² + 2 on the interval t = 0 to t = 2 is 2 feet.

The velocity of an object is v(t) = -t² + 2. Integrate the velocity function to get the displacement function,s(t) = ∫v(t) dtWe have to find the displacement of the object on the interval t = 0 to t = 2Therefore, the displacement of an object is given bys(2) - s(0)The displacement at t = 2 is:s(2) = ∫v(t) dt from 0 to 2= ∫ [ -t² + 2 ] dt from 0 to 2= [- (t³ / 3) + 2t ] from 0 to 2= [ - (2³ / 3) + 2(2) ] - [ - (0³ / 3) + 2(0) ]= -8/3 + 4= 4/3Therefore, the displacement of an object at t = 2 is 4/3 ft.The displacement at t = 0 is:s(0) = ∫v(t) dt from 0 to 0= 0Therefore, the displacement of an object at t = 0 is 0 ft.Therefore, the displacement of an object on the interval t = 0 to t = 2 is:s(2) - s(0)= 4/3 - 0= 4/3 ft.  

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The correct expression for the estimated model is: In (odds ratio) = -7.8562 +0.0304 Income + 1.2804 Lawnsize. This model was created using binary logistic regression analysis to study the characteristics that differentiate home owners who have a lawn service (code 1) and those who do not (code 0).

The additional information available for these 30 home owners includes family income (Income, in thousands of dollars) and lawn size (Lawn Size, in thousands of square feet). The estimated model shows that for every one unit increase in income,

the odds of having a lawn service increase by 0.0304, and for every one unit increase in lawn size, the odds of having a lawn service increase by 1.2804. This information can be useful for the marketing manager to target potential customers based on their family income and lawn size.
The correct expression for the estimated model in this case is:

ln(odds ratio) = -7.8562 + 0.0304 Income + 1.2804 Lawn Size

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(1) Descriptive statistic. (2) Inferential statistics. (3) Inferential statistics. (4) Inferential statistics.

Descriptive statistics are used to summarize and describe the essential features of a sample or population. It doesn't involve any inferences beyond the data that has been analyzed. The first statement is a descriptive statistic. Inferential statistics, on the other hand, are used to make inferences or predictions about a population based on a sample of data. The second statement in the question is an example of inferential statistics.

To calculate the number of people who will vote for the Democratic candidate for senator, a sample of 200 potential voters will be used. The sample will represent the population, which is the group of all potential voters in California. The data obtained from the sample will be used to make predictions about the population as a whole. The calculation steps include choosing an appropriate sample and using statistical tools to analyze the data collected from the sample. The third and fourth statements are also examples of inferential statistics.

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Answer:

Or the rate of change. The percentage change.

Slope.

Answer:

no

Step-by-step explanation:

The ratios 19:20 and 3:4 are not equivalent. Both of them are in their simplest form.