y=-5x-8
y=-2x-6
Round to the nearest hundredth.
(x, y) =

Answer:

8

Step-by-step explanation:

Substitute the values in the expression, we have:

\(\displaystyle{|-1-3|+4}\)

Evaluate:

\(\displaystyle{|-4|+4}\)

Any real numbers in the absolute sign will always be evaluated as positive values. Thus:

\(\displaystyle{|-4|+4 = 4+4}\\\\\displaystyle{=8}\)

Hence, the answer is 8. A quick note that z-value is not used due to lack of z-term in the expression.

Step-by-step explanation:

7! = 5040 ways

Answer:

10,000 bacteria

Step-by-step explanation:

1000×10= 10,000 bacteria

Answer:

30 is the total number..p

Answer:

n=2

Explanation:

Given the equation:

First, reorder the equation to bring like terms together:

Next, simplify the result:

Finally, divide both sides by 10 to solve for n.

The value of n is 2.

Hi

to solve you must transcrive every word in math terms correctly.

so let's first give a name to our mysterious number. As you know, in math we generally call unknown by letter. " X"

so let's now play the detective.

what do we know on " X" ?

we add 3 to X so we have : X+3

then we multiply by 5. so. ( X+3) *5 .

if we do that we have twice X , so 2X

so ( X+3) * 5 = 2 X

now that we have translatted our data in math term, let's unmask. " X"

( X+3) *5 = 2X

5*X +3*5 = 2X

5X +15 = 2X

5X-2X = -15

3X = -15

X = -15/3

X = -5

So is " -5" is our guy.

let's check it out to be sure .

-5 +3 = -2

-2*5 = -10

-10 is twice -5. so -5 is the correct answer.

Ps : some operation are commonly implied. if you do not. know how I could write some line in the calculus, dont hesitate to ask in comments.

There is no mysteries in math everything is done according to rules and can be explained. So don't hesitate !

Answer:

The equation that can be used to solve for m∠1 is:

m∠1 = One-half(a – b)

This is because angle 1 intercepts arc a, which has a measure of a. By the same token, angle 2 intercepts arc b, which has a measure of b. The sum of the measures of angles 1 and 2 is equal to the measure of the angle formed by the two intersecting chords, which is one-half the sum of the measures of arcs a and b. Therefore, we have:

m∠1 + m∠2 = One-half(a + b)

Since m∠2 is not given, we cannot solve for m∠1 using this equation. However, we can use the fact that the sum of the measures of the angles in a triangle is 180 degrees to get:

m∠1 + m∠2 + m∠3 = 180

where m∠3 is the measure of the angle formed by the two chords outside the circle. Since this angle is supplementary to angle 1, we have:

m∠1 + m∠3 = 180

Substituting the equation for the sum of the measures of angles 1 and 2, we get:

m∠1 + One-half(a + b) = 180

Solving for m∠1, we get:

m∠1 = 180 - One-half(a + b) = One-half(360 - a - b) = One-half(a - b)

Each cookie costs 2$.

We can find how much each cookie costs by setting up an equation with x being the amount of cookies, and solve

12x=24     12 cookies equals 24 dollars

x=2            By simplifying and dividing both sides of the equation by 12, we get the variable on its own.

The price of one cookies in the bakery is found as $2.

Each component of a division equation has its own name.

For the given question.

The cost of 12 cookies in a bakery is $24.

The cost of each cookie is same.

To find the price of each cookie divide the total amount by number of cookies.

Price of one cookie = 24/12

Price of one cookie = $2

Thus, the price of one cookies in the bakery is found as $2.

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Answer:

First we add four point five plus twelve and we get sixteen point five, and so now we subtract fifty-five minus sixteen point five and we get our answer.

Answer: 62.5

Step-by-step explanation:

Hope this helps!

:)

Answer:

\(Mean = 3.52\)

Step-by-step explanation:

Given

\(Sample\ Size = 16\)

\(Proportion = 22\%\)

Required

Determine the mean of the proportion

The mean or expected value of a sample is calculated by multiplying the sample size by the proportion as follows;

\(Mean = n *p\)

Where

\(n = 16\) -- Sample Size

\(p = 22\%\) -- Proportion

So:

\(Mean = n *p\) becomes

\(Mean = 16 * 22\%\)

Convert 22% to decimal

\(Mean = 16 * 0.22\)

\(Mean = 3.52\)

Hence, the mean is 3.52

Answer:

\(g(f(2)+3)=30\)

Step-by-step explanation:

We have the two functions:

\(g(t)=t^2-t\text{ and } f(x)=1+x\)

And we wish to find:

\(g(f(2)+3)\)

First, let’s find f(2) first. So, we will substitute 2 for x for f(x):

\(f(2)=1+(2)=3\)

Hence, we can now substitute 3 for f(2):

\(g(f(2)+3)=g(3+3)=g(6)\)

Now, we can find g(6). Substitute 6 for t for g(t):

\(g(6)=(6)^2-(6)=36-6=30\)

Therefore:

\(g(f(2)+3)=30\)

Answer:

52° is approximately 0.907 radians

Step-by-step explanation:

To find the equivalent radian measure for an angle that measures 52°, we need to convert 52° to radians using the formula:

radians = degrees × π/180

Substituting the value of 52° into the formula, we get:

radians = 52 × π/180

radians ≈ 0.907

Therefore, the equivalent radian measure for an angle that measures 52° is approximately 0.907 radians.

Answer:

\(\displaystyle \frac{7}{3-15i}=\frac{7}{78}+\frac{35}{78}i\)

Step-by-step explanation:

\(\displaystyle \frac{7}{3-15i}\\\\\frac{7}{3-15i}*\frac{3+15i}{3+15i}\\\\\frac{21+105i}{9-225i^2}\\\\\frac{21+105i}{9+225}\\\\\frac{21+105i}{234}\\\\\frac{21}{234}+\frac{105}{234}i\\ \\\frac{7}{78}+\frac{35}{78}i\)

EXPLANATION

We need to apply the Pythagorean Theorem in order to get the left unkwnown side:

Plugging in the terms into the expression:

Computing the powers:

Subtracting -81 to both sides:

196 - 81 = larger leg^2

Applying the square root to both sides:

Computing the root:

Now, with the obtained larger leg, we can compute the area, with the following equation:

Multiplying numbers:

Now, we need to compute the perimeter by adding all the legs, as shown as follows:

The solutions are the following:

Area= 48.2 in^2

Perimeter= 33.7 in

The image coordinates of NMO after the translation is option d: N′(−5, −6), M′(−2, −5), and O′(−3, −7).

To get the image coordinates of the preimage translated -2 units to the left, we simply subtract -2  from the y-coordinates of each vertex:

N' = (Nx - (-2), Ny) = (−5 , 2- (-2)) = (−5, 4)

M' = (Mx - (-2), My) = (−2 , 1 - (-2)) = (−2, 3)

O' = (Ox - (-2), Oy) = (−3 , 3- (-2)) = (−3, 5)

Therefore, based on the above, the image coordinates of NMO after the translation are N′(−5, 4), M′(-2,3 ), O′(−3, 5)

So the reflected vertices are:

The distance from N to the line y = -2 is 4, and -6 - (-2) = -4, so one need to move down 4 units to have  a y-coordinate of -6.

The distance from M to the line y = -2 is 3, and -5 - (-2) = -3, so  one need to move down 3 units to have a y-coordinate of -5.

The distance from O to the line y = -2 is 5, and -7 - (-2) = -5, so  one need to move down 5 units to have  a y-coordinate of -7.

So it will be: N′ (−5, −6), M′(−2, −5), O′(−3, −7)

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Answer:

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

Given triangle MNO with vertices:

It is reflected in line y = - 2.

This reflection doesn't affect the x-coordinates of the vertices and the y-coordinates change.

Since y = - 2 is the line of symmetry,  it also represents midpoints of the segments formed by corresponding endpoints of image and preimage.

Using midpoint equation, find the y-coordinates.

So the coordinates of the image are:

This is matching the option D.

See attached for visual representation of the problem.

Answer: You can tell if a table shows a proportional relationship by calculating the ratio of each pair of values. If those ratios are, all the same, the table shows a proportional relationship.

In this case, we'll have to carry out several steps to find the solution.

Step 01:

Data

50 students

$30 per person

Step 02:

40 students

Total Cost:

40 students * $30/student = $1200

The total cost will be different.

The cost per student remains the same.

That is the answer.

Step-by-step explanation:

Answer:

1) r = 32

2) symbol is '÷'

3) h = 15/19

Step-by-step explanation:

The sample size needed to be 99​% confident that the sample proportion will not differ from the true proportion by more than ​4% is given as follows:

n = 1037.

A confidence interval of proportions has the bounds given by the rule presented as follows:

\(\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}\)

In which the variables used to calculated these bounds are listed as follows:

The margin of error is given as follows:

\(M = z\sqrt{\frac{\pi(1-\pi)}{n}}\)

The confidence level is of 99%, hence the critical value z is the value of Z that has a p-value of \(\frac{1+0.99}{2} = 0.995\), so the critical value is z = 2.575.

As we have no estimate, the parameter is given as follows:

\(\pi = 0.5\)

Then the sample size for M = 0.04 is obtained as follows:

\(M = z\sqrt{\frac{\pi(1-\pi)}{n}}\)

\(0.04 = 2.575\sqrt{\frac{0.5(0.5)}{n}}\)

\(0.04\sqrt{n} = 2.575 \times 0.5\)

\(\sqrt{n} = \frac{2.575 \times 0.5}{0.04}\)

\((\sqrt{n})^2 = \left(\frac{2.575 \times 0.5}{0.04}\right)^2\)

n = 1037.

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Ramesh will bear a total medical expense of RM1,760, and the insurance company will cover RM2,900.

1. Ramesh's deductible is RM1,500 per year. This means that he is responsible for paying the first RM1,500 of medical expenses before the insurance coverage kicks in.

2. For the first treatment, the medical cost was RM700. Since this amount is less than the deductible, Ramesh will have to pay the entire RM700 out of pocket.

3. For the second treatment, the medical cost was RM2,000. Since Ramesh has already met his deductible with the first treatment, the insurance company will cover a portion of the expenses. Ramesh will be responsible for 20% of the remaining RM500 (RM2,000 - RM1,500), which amounts to RM100. The insurance company will cover the remaining 80% of RM500, which amounts to RM400.

4. For the third treatment, the medical cost was RM1,700. Again, since Ramesh has already met his deductible, the insurance company will cover a portion of the expenses. Ramesh will be responsible for 20% of the entire cost, which amounts to RM340 (20% of RM1,700). The insurance company will cover the remaining 80% of RM1,700, which amounts to RM1,360.

5. To calculate the total medical expenses borne by Ramesh, we add up the amounts he is responsible for in each treatment: RM700 + RM100 + RM340 = RM1,140.

6. The total medical expenses covered by the insurance company can be calculated by adding up the amounts they pay in each treatment: RM400 + RM1,360 = RM1,760.

7. Finally, to find the overall amount borne by Ramesh and the insurance company, we sum up the individual expenses: Ramesh's expenses + insurance company's expenses = RM1,140 + RM1,760 = RM2,900.

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Answer:

 The decision rule is

Fail to reject the null hypothesis

The conclusion is

There is insufficient evidence   to conclude that the machine is under filling the banana chips.

Step-by-step explanation:

From the question we are told that

  The population mean is   \(\mu = 413 \ g\)

  The sample size is  n =  22

  The sample mean is  \(\= x = 417 \ g\)

  The standard deviation is  \(s = 13\)

   The  level of significance is  \(\alpha = 0.05\)

The null hypothesis is  \(H_o : \mu = 413\)

The alternative hypothesis is  \(H_a : \mu < 413 \ g\)

 Generally the test statistics is mathematically represented as

       \(z = \frac{\= x - \mu }{ \frac{s}{\sqrt{n} } }\)

=>    \(z = \frac{417 - 413}{ \frac{13}{\sqrt{22} } }\)

=>     \(z = 1.443\)

Generally from the z table the probability of  \((Z > 1.443 )\) is

    \(p-value = P(Z > 1.443) = 0.07451\)

From the value obtained we can see  that  \(p-value > \alpha\) hence  

  The decision rule is

Fail to  reject the null hypothesis

The conclusion is

There is insufficient evidence to conclude that the machine is under filling the banana chips.

Answer:

4.36

Step-by-step explanation:

dividing the amount of hours by how many miles Adrienne went will give you how many miles she went per hour.

Equation:

a÷b

a=24

b=5.5 (5 1/2)

24÷5.5=4.36

The distance between the points Q and R is found to be 8 units.

Algebraic expression that provides the distances between two points as a function of their coordinates (like coordinate system).

Now, as per the stated question;

The coordinates of the points Q and R are given as;

Q = (x₁, y₁) = (-7,-8)

And, R = (x₂, y₂) = (-7,0)

Now, substitute the values in the distance formula;

QR = √(-7 - (-7))² + (0 - (-8))²

QR = √(0)² + (8)²

QR = 8

Therefore, the distance between the points Q and R is calculated as 8 units.

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Answer:

Ones

Step-by-step explanation:

The last digit will always be the ones place no matter what.

Answer:

ONES

Step-by-step explanation:

Answer:

The scooter travels 15 feet in 1 second

The scooter travels 45 feet in 3 seconds

The scooter travels 60 feet in 4 seconds

The scooter travels 75 feet in 5 seconds

Step-by-step explanation:

First, let's find the number of feet the scooter travels in 1 second

(30 : 2) ÷ 2 = 15 : 1

Now that we have the unit rate, we can easily find the answers to the other questions.

(15 : 1) x 3 = 45 : 3

(15 : 1) x 4 = 60 : 4

(15 : 1) x 5 = 75 : 5

I Hope That This Helps! :)