1. The simple interest due on a 2.5-year loan of $8, 500 is $1,062.50. Find the monthly payments on the loan.
-$825.50
- $1,062.50
- $3, 825
-$318.75

The inequality pairs with y ≤−2x−1 to complete the system of linear inequalities represented by the graph is y > -2x+2

The one inequality is

y ≤−2x−1

The inequality is represents the relationship between two variables with inequality sign. The inequality will be less than, greater than, less than or equal to and greater than or equal to.

Both lines are parallel therefore the slope of the line will be same that is -2.

The y intercept of the line is +2

The shade is on the top side of the line

Therefore the inequality will be

y>−2x+2

Hence, the inequality pairs with y ≤−2x−1 to complete the system of linear inequalities represented by the graph is y > -2x+2

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The number of revolutions will the wheels need to make to travel 100 feet will be 15.

Given that:

Diameter, d = 26 inches

Let d be the diameter of the circle. The circumference of the circle will be given as,

C = πd units

The number of revolutions will the wheels need to make to travel 100 feet will be given as,

100 = n x 3.14 x (26 / 12)

100 = 6.803 n

n = 14.6986

n ≈ 15 revolution

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Given linear inequalities is solved using graph paper line will pass through (6,0) and (-0,4) Area where required linear inequalities is satisfied is towards origin.

let's first try to understand  what is linear inequalities?

A linear inequality in mathematics is an inequality involving a linear function. One of the symbols for inequality is found in a linear inequality. It displays non-equal data in graph style.

the linear inequality's graph Since the inequality is severe and the shaded region points in the direction of the origin, 2 x-3 y < 12 is a straight line passing through the points (6, 0) and (0, -4), with the line being dot-dotted.

x - coordinate of the given line 2x - 3y =12

y =0 2x = 12 x = 6 (6,0)

y - coordinate of the given line -3y = 12 y = -4  (0,-4)

line passes through (6,0) and (0,-4).

Given Question is incomplete complete Question here:

How do you graph linear inequalities 2x - 3y< 12?

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The incorrect statement regarding continuous probability distributions is that the exponential distribution is always skewed right.

The other statements, regarding the triangular distribution, the uniform distribution, and the normal distribution, are correct.

The uniform distribution is a continuous probability distribution where all values within a given interval have an equal probability of occurring. It does not exhibit any skewness as it is symmetrical.

The normal distribution, also known as the bell curve, is a continuous probability distribution that can be symmetric or skewed depending on its parameters. It is symmetric when its mean, median, and mode coincide, but it can be skewed if the mean and median differ.

The incorrect statement is that the exponential distribution is always skewed right. The exponential distribution is a continuous probability distribution that is commonly used to model the time between events in a Poisson process.

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Answer:

x=-2

Step-by-step explanation:

-8-4=

-4

there the x value since there two x so u divide 2x=-4

×=-2

Answer:

(9,1), Z(5,1)

Step-by-step explanation:

The statement that best proves that <XWY ≅ <ZYW is that two parallel lines are cut by a transversal, then the alternate interior angles are congruent

To determine the correct statement, we need to know the properties of a parallelogram.

These properties includes;

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Answer:

-28

Step-by-step explanation:

Since the first number is 10 and they say and the equation said two numbers sum - 18 therefore 10 + x equals to -18

=> 10 + x = -18

now to find the second number collect like terms make x the subject of formula

=> x = -18 -10

substract -18 from -10

x = -28

-28 is your final answer

good luck with your assignment and enjoy

Answer:

Step-by-step explanation:

Yes it is.

Answer:

No,

Step-by-step explanation:

For CDE to be a right triangle, a²+b²=c², where C is the hypotenuse. A and B are both legs or sides which make up the right triangle.

Answer:

1:3

Step-by-step explanation:

This is in ratio form. 12:36 can also be a fraction, \(\frac{12}{36}\).

If you simplify this fraction, you will get \(\frac{1}{3}\).

So the answer is 1:3.

Answer:

As a simplified fraction: 1/3

Step-by-step explanation:

The simplest form of  

12

36

is  

1/3

.

Steps to simplifying fractions

Find the GCD (or HCF) of numerator and denominator

GCD of 12 and 36 is 12

Divide both the numerator and denominator by the GCD

12 ÷ 12

36 ÷ 12

Reduced fraction:  

1/3

Therefore, 12/36 simplified to lowest terms is 1/3.

Answer:

34, 35, 36

Step-by-step explanation:

1st number = x

2nd number = x+1

3rd number = x+2

So the equation would be:

x+2(x+1)+(x+2)-7=133

x+2x+2+x+2-7=133

4x-3=133

4x=136

x=34

      Three consecutive numbers justifying the condition given in the statement will be 34, 35, 36.

Let three consecutive number are,

n, (n + 1), (n + 2)

First statement given,

" The sum of first number, twice the second number"

Expression for the statement → [n + 2(n + 1)]

Second statement → " 7 less than the third number"

Expression for the statement → (n + 2) - 7

Combine the expressions,

"The sum of first number, twice the second number and 7 less than the third number is 133"

Form the equation and simplify,

n + 2(n + 1) + (n + 2) - 7 = 133

n + 2n + 2 + n + 2 - 7 = 133

(n + 2n + n) + (2 + 2 - 7) = 133

4n - 3 = 144

4n = 136

n = 34

         Therefore, the numbers are,

                            1st number → n = 34

                            2nd number → (n + 1) = 35

                            3rd number → (n + 2) = 36

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Answer:

102

Step-by-step explanation:

The value of gravitational force between two masses is,

⇒ Gravitational force (F) = 3

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

Two masses are,

m₁ = 6

m₂ = 8

d = 4

Now, We know that;

Gravitational force (F) = m₁ m₂ / d²

Substitute all the values we get;

Gravitational force (F) = m₁ m₂ / d²

Gravitational force (F) = 6 × 8 / 4²

Gravitational force (F) = 48/16

Gravitational force (F) = 3

Thus, The value of gravitational force between two masses is,

⇒ Gravitational force (F) = 3

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keeping in mind that parallel lines have exactly the same slope, let's check for the slope of the equation above

\(y = \stackrel{\stackrel{m}{\downarrow }}{\cfrac{5}{7}}x+1\qquad \impliedby \begin{array}{|c|ll} \cline{1-1} slope-intercept~form\\ \cline{1-1} \\ y=\underset{y-intercept}{\stackrel{slope\qquad }{\stackrel{\downarrow }{m}x+\underset{\uparrow }{b}}} \\\\ \cline{1-1} \end{array}\)

so for the parallel line we're really lookikng for the equation of aline whose slope is 5/7 and that it passes through (-5 , 6)

\((\stackrel{x_1}{-5}~,~\stackrel{y_1}{6})\hspace{10em} \stackrel{slope}{m} ~=~ \cfrac{5}{7} \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{6}=\stackrel{m}{ \cfrac{5}{7}}(x-\stackrel{x_1}{(-5)}) \implies y -6= \cfrac{5}{7} (x +5) \\\\\\ y-6=\cfrac{5}{7}x+\cfrac{25}{7}\implies y=\cfrac{5}{7}x+\cfrac{25}{7}+6\implies {\Large \begin{array}{llll} y=\cfrac{5}{7}x+\cfrac{67}{7} \end{array}}\)

now, keeping in mind that perpendicular lines have negative reciprocal slopes

\(\stackrel{~\hspace{5em}\textit{perpendicular lines have \underline{negative reciprocal} slopes}~\hspace{5em}} {\stackrel{slope}{\cfrac{5}{7}} ~\hfill \stackrel{reciprocal}{\cfrac{7}{5}} ~\hfill \stackrel{negative~reciprocal}{-\cfrac{7}{5}}}\)

so for the perpendicular line we're really looking for the equation of a line whose slope is -7/5 and that it passes through (-5 , 6)

\((\stackrel{x_1}{-5}~,~\stackrel{y_1}{6})\hspace{10em} \stackrel{slope}{m} ~=~ - \cfrac{7}{5} \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{6}=\stackrel{m}{- \cfrac{7}{5}}(x-\stackrel{x_1}{(-5)}) \implies y -6= -\cfrac{7}{5} (x +5) \\\\\\ y-6=-\cfrac{7}{5}x-7\implies {\Large \begin{array}{llll} y=-\cfrac{7}{5}x-1 \end{array}}\)

Answer:

entire orchestra I'm gonna say

Answer:

Outlier, clusters, and gap in your value.

Step-by-step explanation:

An OUTLIER is a data point that falls away from the rest of the points in a scatter plot. It doesn't seem to fit with the rest of the points. DATA CLUSTERS are groups of points that are all graphed close together. A GAP IN VALUE occurs when there are points clustered at two different spots on a scatter plot.

Answer:

I suck at math but take a picture and put it in the app called "Math-way" or "Photo-math" I'm a senior and still use these

To answer question a, we use the formula:

time taken = (number of tyres to fit x time taken to fit one tyre) / number of tyres fitted at once

In this case, Liam takes 124 minutes to fit 4 tyres to a lorry. To find out how long it would take him to fit 6 tyres, we plug in the values:

time taken = (6 x 124) / 4
time taken = 186 minutes

So it would take Liam 186 minutes to fit 6 tyres to a lorry.

For question b, we know that Liam takes 124 minutes to fit 4 tyres, so he takes 31 minutes to fit 1 tyre. If he works for 93 minutes, we can find out how many tyres he can fit:

number of tyres = time taken / time taken to fit one tyre
number of tyres = 93 / 31
number of tyres = 3

So Liam can fit 3 tyres in 93 minutes.

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Answer:

175$

Step-by-step explanation:

200$ at 15% = 170

170$ + 5.00$ = 175$

Answer:

B. 3n

Step-by-step explanation:

n + n + n = 3n

------------------------------------------

3n = n + n + n

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Answer:

The answer is in the 4th quadrant

Step-by-step explanation:

I really hope this helped!!! have a great day. :)

The answer of the given question is the solution to the inequality h(t) > 9 is any value of t that makes h(t) greater than 9.

An inequality is a mathematical statement that shows a relationship between two values or expressions that are not equal. It uses symbols such as < (less than), > (greater than), ≤ (less than or equal to), or ≥ (greater than or equal to) to express the relationship between the two values. Inequalities are often used in algebra, geometry, calculus, and other areas of mathematics to represent constraints or limits on values or to compare two different sets of values. For example, an inequality might be used to determine if a certain number falls within a certain range, or to find the maximum or minimum value of a function given certain constraints.

The solution to the inequality h(t) > 9 is any value of t that makes h(t) greater than 9.

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Answer: 710,000 kg

Step-by-step explanation:

There are 100 pence in one pound.

The number of two pence coins in 1 pound is therefore:

= 100 / 2

= 50 coins

In 2 million pounds therefore, there will be:

= 50 * 2,000,000

= 100,000,000 two pence coins

If one coin weighs 7.1g, weight is:

= 100,000,000 * 7.1

= 710,000,000 g

A kg is 1,000 grams so the weight in kg is:

= 710,000,000/1,000

= 710,000 kg

The number of cars that must be made to minimize the unit cost is 300 cars which is determined by differentiation.

Differentiation is a mathematical process that determines the instantaneous rate of change of a function based on one of its variables. The most common example is velocity, which is the rate of change of displacement with respect to time. Anti-differentiation is the inverse of finding a derivative.
Differentiation is used to calculate the rate of change of quantities in real time.

Since, we have been given the cost function to be function \((cx)= 1.1^{2} - 660x+107,357\) then we have to find the first differentiation in order to get the value and this will be:-

\((cx)= 1.1^{2} -660x+107,357\\2.2x=660\\x=\frac{660}{2.2} \\x=300\)

Therefore, the number of cars that must be made to minimize the unit cost is 300 cars.

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Step-by-step explanation:

First, we need to find that top angle, which we'll call angle x. We can say 26 is the hypotenuse, and 12 is the adjacent, so we know that:

\( \cos(x) = \frac{12}{26} \)

Let's solve this, to find X:

\(x = { \cos }^{ - 1}( \frac{12}{26} )\)

Now that we know what X is, we can use trig to find the missing side, which we'll call y. 48 is the adjacent, and y is the hypotenuse, therefore:

\( \cos(x) = \frac{48}{y} \)

To find y, let's rearrange:

\(y = \frac{48}{ \cos(x) } \)

And now let's figure out calculate the value of y (I'm leaving the value of X as just X for the equations, but you will need it to calculate first):

\(y = 0.767833242\)

36: The solution to the equation \(\(4N - 8 = 24\)\) is \(\(N = 8\)\).

37: The equation \(\(76 = 105 + 6 Ae^{-2x}\)\) does not have a unique solution without additional information.

QUESTION 36:

To solve the equation \(\(4N - 8 = 24\)\), we can isolate the variable \(\(N\)\) by performing inverse operations.

Adding 8 to both sides of the equation, we get:

\(\[4N - 8 + 8 = 24 + 8\]\)

This simplifies to:

\(\[4N = 32\]\)

To solve for \(\(N\)\), we divide both sides of the equation by 4:

\(\(\frac{4N}{4} = \frac{32}{4}\)\)

\(\(N = 8\)\)

Therefore, the solution to the equation \(\(4N - 8 = 24\)\) is \(\(N = 8\)\).

QUESTION 37:

To solve the equation \(\(76 = 105 + 6 Ae^{-2x}\)\), we can begin by isolating the exponential term on one side of the equation.

Subtracting 105 from both sides, we have:

\(\(76 - 105 = 105 + 6 Ae^{-2x} - 105\)\)

\(\(-29 = 6 Ae^{-2x}\)\)

Next, we can divide both sides of the equation by 6 to isolate the exponential term:

\(\(\frac{-29}{6} = \frac{6 Ae^{-2x}}{6}\)\)

Simplifying further:

\(\(\frac{-29}{6} = Ae^{-2x}\)\)

To solve for the unknown, we need more information about the value of \(\(A\)\) or the value of \(\(x\)\). Without additional information, it is not possible to find a specific value for the unknown in the equation.

Therefore, the equation \(\(76 = 105 + 6 Ae^{-2x}\)\) does not have a unique solution without additional information.

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The parameters of the binomial distribution are n = 10 and p = 0.2.

The question involves a binomial distribution that can be represented by the following formula:

\(P(x = k) = (nck) \times pk \times (1 - p)n - k\)

Where x represents the number of successes,

n is the total number of trials,

p is the probability of success in each trial,

k is the number of successes.

The formula has 3 parameters:n: Total number of trials.

In this case, n = 10, since there are 10 questions

p: The probability of success in each trial. The student guesses, so he has a 1/5 chance of guessing correctly, so p = 1/5 = 0.2.

k: The number of successes (number of questions correctly answered).

In this case, k = 4.

Now, we have to compute the probability that the student gets 4 questions right,

so we substitute the values into the formula:

\(P(x = 4) = (10C4) \times 0.24 \times (1 - 0.2)10 - 4= 210 \times 0.0256 \times 0.1073741824= 0.057\)

The probability that the student gets 4 questions right is 0.057.

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The advantages of the 'Monthly Reporting Form' are given below:a) Reduced administrative hassle compared to single shot: Monthly reporting forms reduce the workload of administrative work that may have been required if it was a single-shot.

For instance, when it comes to accounting and finance, monthly reporting can help to reduce the administrative burden that comes with running a business. This is because monthly reporting makes it easier to keep track of financial data, ensuring that records are updated on a more frequent basis.

There is a lower rate associated with monthly reporting forms as they can offer a reduction in cost compared to single-shot options. This is because they can save time and money in the long run, reducing the amount of work and administration required to keep track of things.

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