Solve e–5x = 7.4 for x correct to four decimal places. –0.40030.40030.8692–0.8692

The probability (area under the curve) of picking a client who spends between $57 and $83 per month is 0.4032.

Given,

Mean, μ = $70

Standard Deviation, σ = $10

z = (x-μ) ÷ σ

P(The consumer was charged from around $70 and $83),

P(70 ≤ x ≤ 83) = P((70 - 70) ÷ 10)) ≤ z ≤ ((83-70) ÷ 10)) = P(0 ≤ z ≤ 1.3)

=P(z ≤  1.3) - P(z ≤ 0)

=0.9032 - 0.500 = 0.4032 = 40.32%

P(70 ≤ x ≤ 83) = 40.32%

Customers with Key Refining Company loans typically spend an average of $70 monthly on gasoline and servicing. With either a standard deviation of $10, the expenditure distribution is about normal. For z = 1.3, the area under the curve is 0.4032.

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Graph 1 shows the correct representation the solution of the system.

For the given question;

The system of linear equation are given as;

x + 2y ≤ 16  .......eq 1

4x + y > 6    ......eq 2

Consider equation 1;

x + 2y = 16

For x = 0; y = 8 , Point = (0, 8)

For y = 0, x = 16, Point = (16, 0)

As the inequality of the eq 1 is less than equal to, the shaded region will lies below the line with solid lines.

Consider equation 2;

4x + y = 6

For x = 0; y = 6 , Point = (0, 6)

For y = 0, x = 1.5, Point = (1.5, 0)

As the inequality of the eq 2 is greater than, the shaded region will lies above the line with doted lines.

Thus, graph 1 shows the correct representation the solution of the system.

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The biconditional for the conditional statement is : Two line intersect each other at right angles . The two lines are perpendicular.

A conditional statements are part of mathematical reasoning, a fundamental ability that enables students to evaluate a given hypothesis without reference to a particular context or meaning.

The truth value for the conditional statement is true as we know that when two lines intersect at 90° then they are said to be perpendicular.

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Answer: Substitution property

Step-by-step explanation:

It's substituting a variable into an equation.

The distributive property to write an equivalent expression.

8(4n+ 3) = 32n  + 24

12x-6=  1/2

5x+20= 4

3(x+6)= 3x + 18

7x-35= 5

20p + 16 = 4/5

The distributive property states that multiplying the sum of two or more addends by a number yields the same result as multiplying each addend separately by the number and combining the resulting products.

One of the most common properties in arithmetic is the distributive property. The multiplier is applied to each integer inside the parentheses, and the results are added to obtain the answer. This technique is used to simplify and solve multiplication problems.

the distributive property to write an equivalent  .

8(4n+ 3)

= 8 * 4n + 3* 8

= 32n  + 24

for 12x-6

12x-6  = 0

x = 6/12

x = 1/2

For 5x+20

5x+20 =

x = -4

For 3(x+6)

= 3 * x + 3 * 6

= 3x + 18

For 7x-35

= 35/7

= 5

For 20p + 16

= 20/16

= 5/4

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Given

Procedure

Exponential form

Amplitude = (Maximum + Minimum)/2 , = (1 + 1.8)/2= (2.8)/2= 1.4

Period = distance for the function to repeat. So, the distance is from -0.5 to 3.5, then it is 4, then it is smaller than 2 times pi number.

C is the distance from the Y axis to the function.

D is the horizontal line that passes through the middle of the distance between the maximum and minimum point, which is in that case the same one as the period has to use

Then, the formula is:

In order to find the measure of angle AOC, let's start looking at point A.

Point A is in position 180, if we look in the upper numbers, and in position 0, if we look in the lower numbers.

Since it's easier to find the angle if one vertex is at position 0, let's consider position 0° for A.

Then, looking at point C, it is in position 130° in the upper numbers and 50° in the lower numbers.

Since we choose the lower numbers for A, we need to do the same for C.

Therefore A is in position 0° and C is in position 50°.

To find angle AOC, let's subtract both measurements/positions:

Therefore angle AOC measures 50°, and the correct option is C.

well, a year has a total of 12 months, so 3 months is really 3/12 of a year.

[tex]~~~~~~ \textit{Simple Interest Earned Amount} \\\\ A=P(1+rt)\qquad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{original amount deposited}\dotfill & \$2700\\ r=rate\to 8.2\%\to \frac{8.2}{100}\dotfill &0.082\\ t=years\to \frac{3}{12}\dotfill &\frac{1}{4} \end{cases} \\\\\\ A=2700[1+(0.082)(\frac{1}{4})] \implies A = 2700(1.0205)\implies A=2755.35[/tex]

Answer:

I would say C but I'm really not sure hope this helps

The length of the sides of a triangle are 5, 6 and 7.

If the perimeter of a similar triangle is 36

Perimeter of a triangle = a + b+ c

The perimeter of the first triangle is

P = 5 + 6 + 7

P = 11 + 7

P = 18

To find the smallest lengths

18 / 36 = 5 / x

Introduce cross multiplication

36 x 5 = 18 * x

180 = 18x

Divide both sides by 18

180/18 = 18x/18

x = 180/18

x = 10

The answer is 10

Here we will try to solve an equation involving a variable ( x ) given as follows:

We use the following basic mathematical operations when solving any equation:

We will first try to isolate our vairable ( x ) on either side of the " = " sign. We will try to isolate ( x ) on the right hand side of " = " sign. To do this we will employ the mathematical operation of " Subtraction ".

We will subtract ( 1 / 2 x ) from both sides of " = " sign:

The next mathematical operation we will apply is " Division ". We will divide the left hand side of the equation with right hand side constant as follows:

The solution to the given equation is as follows:

SOLUTION:

Case: Minimum and Maximum functions

Given:

Required: To find the minimum Unit cost

Method: we apply completing square on the function

Step 1: First we find the square of half the coefficient of x

Step 2: Add and subtract the value to the Right Hand Side

Step 3: From the equation

The quantity need to be produced to get the minimum unit cost is 220.

The value of the minimum cost therefore is obtained at C(220).

This would give:

C(220)= $19863

Final answer:

The minimum unit cost is $19863. Ignore the dollar sign($) when entering your answer.

The option that can be the length of one wall with the correct number of the significant digit is A)2.51 meters.

From the information given, Janna is measuring the dimensions of her bedroom to determine how much paint she should buy for the walls was stated that the measurements have increments of 0.01 meter.

It's important to note that there are 2 decimal places.

In this case, the appropriate option is 2.51 meters.

In conclusion, the correct option is A.

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Congruence and similarity criteria are used to determine congruence and proportional relationships respectively. That is, congruence criteria is used to establish a relationship of equivalence, and similarity criteria is used to establish a relationship of proportion with a common ratio between the figures.

Karma will make $99.78 if she sells 110 pounds of rice to the vendor

Quantity of rice available with Karma = 110 pounds

A pound is a unit of weight that is mostly used in the United States, Great Britain, and other English-speaking nations. A pound is approximately 0.454 kilos. A quantity of something is said to weigh one pound if it weighs that much.

The conversion rate of pounds to grams:

1 pound = 453.59 grams

So, 110 pounds will be equal to:

110*453.59

=49894.9 grams

Selling price for 5 grams = $0.01

Selling price for 1 gram:

The selling price of 5 grams/ Price for 5 grams

0.01/5

=$0.002

Selling price for 49894.9 grams = 49894.9*0.002

= $99.78

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The total cost of her trip will be of $159.7.

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. We have LHS = RHS (left hand side = right hand side) in every mathematical equation. To determine the value of an unknown variable that represents an unknown quantity, equations can be solved. A statement is not an equation if it has no "equal to" sign.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation.

given:

Cost of 16 cents per mile= 16/100 = 0.16

Cost of $52.50 per day =52.50

linear function for the charge y in function of the number of miles x is:

y(x) = 0.16x + 52.50

The cost of driving 670 miles

So, y(670) = 0.16 x 670 + 52.50

y(670) = 107.2 + 52.50

y(670) = 159.7

Hence, The total cost of her trip will be of $159.7.

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The number 91.470 is the rational number.

For the given number.

91.470 can be written in the fraction as;

91470/1000

Or 914/100

As, the form is p/q where q ≠ 0.

Thus, the number 91.470 is the rational number.

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First, we need to change 1.476 minute to seconds

1.476 minutes = 1.476 x 60= 88.56 seconds

Let the number of times they flap there wings in 1.476 minute be X

69 times = 4 seconds

X = 88.56 seconds

cross-multiply

4X = 69(88.56)

4X= 6110.64

Divide both-side of the equation by 4

X = 1 527.66 ≈ 1 528 times

Initial TV price, $1,260

price reduction, $189

percentages:

reduction percentage or discount = 189/1260 = 0.15 = 15%

The above indicates the percentage by which the price was reduced or the discount obtained

percentage paid = (1260-189) / 1260 = 0.85 = 85%

This indicates that we paid 85% of the initial price.

We have a line with slope -2. A parallel line would have a slope of -2 too, and a line perpendicular to it will have a slope of 1/2.

If line A is perpendicular to B, the slope of B is the inverse multiplicative of the sloe of A. That is why a line perpendicular to the one with slope -2 is 1/2:

Now we know the slopes for both cases: parallel and perpendicular. If the slope is different to -2 or 1/2, we can say that is not parallel nor perpendicular to the line given.

Let's evaluate the slope of the line that passes through points (-2, 1) and (6,5).

The slope is given by the following formula:

Where x₁ and y₁ are the x and y-coordinates of the first point (-2 and 1), and x₂ and y₂ are the x and y coordinates of the second point (6 and 5, respectively).

Replacing values:

The slope of the line passing through the points given is 1/2, then, according to what was said above, that line is perpendicular to a line with slope -2.

Answer:

Step-by-step explanation:

You want the lengths of the unknown sides in the given trapezoid figure, knowing that the perimeter is 18 units.

The side AB is a vertical line segment, so its length can be found by finding the difference of y-coordinates of its end points.

  AB = (2) -(-4) = 2+4 = 6

The length of AB is 6 units.

The sum of the lengths of vertical and horizontal segments is ...

  AB +BC +CD = 6 +4 +3 = 13

The total distance from A to D along vertical and horizontal segments is 13 units.

The perimeter is the sum of the lengths of all sides.

  perimeter = AB +BC +CD +AD

  18 = 13 + AD . . . . . . substitute known values

  5 = AD . . . . . . . . . subtract 13

The length of segment AD is 5 units.

__

Additional comment

Finding the length of a vertical or horizontal line is no different than finding the distance between two points on a number line.

We know that two angles shown have to add to a right angle, which measures 90°, then we have the equation:

Hence, the value of x is 15°; which means that:

Therefore, the angles are 75° and 15°

Answer:

250

Step-by-step explanation:

everything u need is in the picture

The inequality that represents the number of auction tickets,t, the student council must sell is given as 125t ≥ 2000.

Inequalities are created through the connection of two expressions. It should be noted that two expressions in an inequality aren't always equal. They are denoted by the symbols ≥ < > ≤ 

Let the total number of tickets be represented by t.

The auction ticket costs $125 and the student council needs to raise greater than or equal t $2,000. This will be 125t ≥ 2000.

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The feedback loops in each situation are classified as follows:

a) Positive.

b) Negative.

In the context of this problem, in item a, there is a continuous amplification of the output signal, which is the surface temperatures, as they keep increasing, the three effects listed contribute to the increase of temperature, then the system go back to the beginning still with increasing temperatures, hence it is a positive feedback loop.

In item b, we have a loop with changes in the temperature, it increases and then it decreases, and so on, hence it is a negative feedback loop.

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solve for b:

take the square root of both sides:

therefore:

Answer: b=2/3 and b=-2

Step-by-step explanation:

Let:

Given

Circumference, C = 16m

Find

diameter

Explanation

We know Circumference of a circle

diameter = 2r