What is the value of (5r+1/5)² when r = 1?

Answer:

AD = 10

Step-by-step explanation:

It's given that ABCE is a rectangle.

Therefore, measure of opposite sides of the rectangle will be equal.

AB = EC

AB = ED + DC

12 = ED + 4

ED = 8

Measure of side AE = 6

Since, measure of interior angles of a rectangle = 90°

Therefore, ΔEAD will be a right triangle.

By Pythagoras theorem,

AD² = AE² + ED²

      = 6² + 8²

AD = \(\sqrt{36+64}\)

      = \(\sqrt{100}\)

      = 10

Therefore, measure of side AD = 10 units

Step-by-step explanation:

The solution is one-solution

.3(12x-16)=.4(12-3x) (you do the distributive property)

3.6x-4.8=4.8-.12x (you add 1.2 to both sides)

3.6x-3.6=4.8 (You add 3.6 to both sides)

3.6x=8.4 ( You divide 3.6 both numbers)

x=0.4285...

Its a one-solution

Answer:

Hey there!

15x-43+8x+18=90

23x-25=90

23x=115

x=5

RSQ=15(5)-43, or 32

TSQ=8x+18, or 58

Let me know if this helps :)

Answer:

A 4,320

Step-by-step explanation:

6*2=12

12*3=36

36*4=144

144*5=720

720*6=4,320

The ratio in the form of n:1 is 2.25:1.

When comparing two amounts of the same sort, ratio is utilised. For two numbers, a and b, the ratio formula is written as a: b or a/b. Two or more ratios are said to be in proportion if they are all equal.

A ratio is a comparison between two amounts that is calculated by dividing one amount by the other. The quotient a/b is referred to as the ratio between a and b if a and b are two values of the same sort and with the same units, such that b is not equal to 0. Ratios are represented by the colon symbol (:). As a result, the ratio a/b has no units and is represented by the notation a: b.

Given:

ratio 9:4

Now we have to write the ratio in the form of n:1

So, divide the ratio by 4

=9 /4 : 4/4

=9/4: 1

=2.25 :1

Hence, the ratio in the form of n:1 is 2.25:1.

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Answer:

(3x +2)° + 28° = 180°

=> 3x + 30 = 180

=> 3x = 180–30

=> x = 150/3

=> x = 50

The total cost of materials and labor for the office space, considering a tile unit cost of P300 and labor cost equal to the materials cost, amounts to P63,000.

To calculate the total cost of materials and labor, we first need to determine the cost of the tiles. Given that the unit cost of a certain tile is P300, we can multiply this by the area of the office space to find the total cost of the tiles. The office space has an area of 63 sqm, so the total cost of the tiles is P300 * 63 = P18,900.

Next, we need to calculate the labor cost, which is 100% of the materials cost. Since the materials cost is P18,900, the labor cost will be equal to P18,900. Therefore, the total cost of labor is also P18,900.

To find the total cost of materials and labor, we add the cost of the tiles (P18,900) and the labor cost (P18,900): P18,900 + P18,900 = P37,800.

Therefore, the total cost of materials and labor for the office space is P37,800.

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Answer:

y+5/4 = x

Step-by-step explanation:

I think that this will get really messy if you integrate with respect to y.

Here is what I suggest you do.

=2+82−5y=2x+8x2−5

Evaluated at =1y=1 and =5y=5

1=2+82−5=21=2x+8x2−5x=2

5=2+82−5=1

5=2x+8x2−5x=1

∫10(5−1)+∫212+82−5−1∫01(5−1)dx+∫122x+8x2−5−1dx

The answer choice which could be used to make a bow with the least amount remaining is; 1 2/5 yards.

It follows from the task content that the amount of ribbon remaining in each case can be evaluated as follows;

For 1 2/5 yards: 1 2/5 - 1 1/3 = 1/15. renders only 1/15 a yard to waste.

For 1 and 1/6 yards would render a waste of 1 1/6 yards since it is not possible to make a ribbon out of it.

1 2/10 yards would render a waste of 1 and 1/5 yards since it is not possible to make a ribbon out of it.

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Answer:

21b + 9

Step-by-step explanation:

7b(2 + 7b) + (7b + 7)

7b+7b+7b=21b

2+7=9

21b + 9

From the situation described, we have that:

a. The absolute value equation is: |w - 35| = 8.

b. The solutions are w = 27 and w = 43, meaning that the minimum weight is of 27 pounds and the maximum weight is of 43 pounds.

A home improvement store sells bags of sand, which are labeled as weighing 35 pounds. The equipment used to package the sand produces bags with a weight that is within 8 pounds of the labeled weight.

The absolute function is defined by:

It measures the distance of a point x to the origin, hence, for example, |-2| = |2| = 0.

For this problem, the difference between the weight w and 35 pounds is of 8 pounds, hence the equation is:

|w - 35| = 8.

From the definition, the solutions are given as follows:

The solutions are w = 27 and w = 43, meaning that the minimum weight is of 27 pounds and the maximum weight is of 43 pounds.

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The second-smallest positive integer that, when divided by 3, leaves a remainder of 2, and when divided by 7, leaves a remainder of 3 is 38

Given that,

We have to find the second-smallest positive number that, when divided by 3, leaves a remainder of 2, and when divided by 7, leaves a remainder of 3.

We know that,

We get equations as

N = 3a + 2

N = 7b + 3

Subtracting these equations we have that

3a - 7b - 1  = 0

3a - 7b =  1

So,

a=12 and b=5

The second integer we get is 38

Therefore, the second-smallest positive number that, when divided by 3, leaves a remainder of 2, and when divided by 7, leaves a remainder of 3 is 38

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Answer:

300,000, 10 million, 15 million, 240 million, and 4.6 billion

Step-by-step explanation:

Pua will use 13, 1/4 cups of oatmeal.

The division in mathematics is one kind of operation. In this process, we split the expressions or numbers into the same number of parts.

Given:

Pua needs 3\(\frac{1}{4}\) cups of oatmeal.

The number of 1/4 cups of oatmeal,

she will use,

= 13/4 ÷ 1/4

= 13

Therefore, she will use 13 cups.

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The parametric equation of the line drawn  ( 0. , 4.) and ( 4. , 0. ) is x + y - 4 = 0

A finite line segment is drawn from two points

Let the point be A and B

The co ordinates of the point A is (0, 4) and the co ordinates of the point B is (4, 0)

The equation of the line can be

y - y₁ =( (y₂-y₁)/(x₂ - x₁))(x - x₁)

y - 4 = ((4 - 0)/(0 - 4))(x - 0)

y - 4 = (4/-4)(x - 0)

y - 4 = -1(x - 0)

y - 4 = -x

y + x -4 = 0

Therefore, the parametric equation of the line drawn from  ( 0. , 4.) and ( 4. , 0. ) is x + y - 4 = 0

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The inverse of the given function could be; y = √x / 7 + 8

Suppose that the given function is \(f:X\rightarrow Y\)

Then, if function 'f' is one-to-one and onto function (a needed condition for inverses to exist), then, the inverse of the considered function is

\(f^{-1}: Y \rightarrow X\)

This simply means, inverse of 'f' is undo operator, that takes back the effect of 'f'

We have been given the function as g(x)=7(x-8)² +3 for 8 ≤ x < ∝

Function that can reverse into another function is known as an inverse function or anti function to find y when x is swapped with another variable, we must first determine the inverse function.

On the other hand, the inverse function and the original function have interchangeable domains and ranges.

y = 7(x-8)²

(x-8)² = y/7

x - 8 = y / 7

x = √y / 7 + 8

Or

y = √x / 7 + 8

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Answer:

A. c ║d, Converse of the Corresponding Angles Postulate

Step-by-step explanation:

Line B (including numbers 1-8) can be ignored in the diagram.

When 2 angles are located on one side of the transversal (line a) and are also located below on the same side of one of the parallel lines (below lines c and d) they are called corresponding angles.

Hope that makes sense.

Answer:

25

Step-by-step explanation:

The midpoint formula and the normal vector of the plane can be used to determine the equation of the plane that contains all points equidistant from the points (1,0,-2) and (3,4,0).

Given by: The midpoint of the two points is:

M = [(1 + 3)/2, (0 + 4)/2, (-2 + 0)/2] = (2, 2, -1) (2, 2, -1)

The following vector runs between the two points:

V = (3 - 1, 4 - 0, 0 - (-2)) = (2, 4, 2) (2, 4, 2)

The cross product of two non-parallel plane vectors yields the normal vector to the plane. The midpoint M to a point on the plane is one such vector, while the other is the vector V. Consider the point P = (2, 2, -1) + t(2, 4, 2) as an illustration, where t is a scalar.

The normal vector is then provided by:

N = V x (P - M) = (2, 4, 2) x (2t, 4t, 2t -1), which equals (12t, -8t, 4t + 2)

The point-normal form, which makes use of the normal vector N and the point M, can be used to determine the equation for the plane:

(x - 2) * 12t = (y - 2) * -8t = (z + 1) * 4t + 2

The final equation of the plane is obtained by multiplying both sides of the equation by t and setting t 0.

12(x - 2) = -8(y - 2) = 4(z + 1) + 2

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Therefore, visually interpreting histograms can be a powerful tool for data analysis, but it is important to be aware of their strengths and limitations.

Histograms are an effective way to display data graphically. They are used to show how often certain values or ranges of values appear in a data set. Visual interpretation of histograms has many strengths and limitations. Some of the strengths of visually interpreting histograms are that they are easy to read and understand, they provide a clear picture of how the data is distributed, and they can help identify outliers or gaps in the data. However, some of the limitations of visually interpreting histograms are that they can be influenced by the number of bins chosen, the way the data is grouped, and the choice of the scale used. Therefore, it is important to carefully consider these factors when interpreting a histogram. In conclusion, visually interpreting histograms can be a powerful tool for data analysis, but it is important to be aware of their strengths and limitations.

Therefore, visually interpreting histograms can be a powerful tool for data analysis, but it is important to be aware of their strengths and limitations.

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Purposive sampling allows nurse researchers to select participants who fit specific criteria in qualitative studies, increasing the depth and richness of findings.

A nurse researcher would use purposive sampling when obtaining participants for a qualitative study because it allows researchers to select participants who fit the very specific types of criteria that are investigated in qualitative studies.

Purposive sampling is a non-random sampling method that is used when researchers want to select a sample that has certain characteristics or experiences that are relevant to the research question.

By using purposive sampling, the researcher can ensure that the participants have the specific knowledge or experience that is necessary to answer the research question, and can therefore provide more in-depth and insightful responses. This increases the richness and depth of the qualitative findings.

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$2,560 needs to be invested at time 3 in order to have $3,200 at time 8.

Since the money grows according to the simple interest accumulation function a(t) = 1.05t, the amount of money A at time t, given an initial amount P, can be calculated using the formula:

A = P + Pr(t)

where r is the interest rate (in this case, 5% or 0.05) and t is the time period (measured in years).

To determine how much money needs to be invested at time 3 to have $3,200 at time 8, we can use the above formula and solve for P:

3200 = P + Pr(8-3)

3200 = P + 5P(0.05)

3200 = P + 0.25P

3200 = 1.25P

P = 3200 / 1.25

P = 2560

Therefore, an initial investment of $2,560 at time 3 would be needed to have $3,200 at time 8, assuming a simple interest accumulation function with an interest rate of 5%.

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We have to calculate the area and perimeter of ABC.

Area:

We can calculate the area by substracting from the area of the big triangle ABD the area of the little triangle BCD. Both are right triangles.

The area of ABD is:

The area of BCD is:

Then, the area of ABC is:

The area of ABC is 90 cm^2.

Perimeter:

We calculate the perimeter by adding the length of the three sides. We know only 2 of the sides, so we have to calculate the other one (BC).

The length of BC can be calculated using Pythagorean theorem for the triangle BCD, so we can write:

Now, we can calculate the perimeter as:

The perimeter is 53 cm.

Answer:

 r = 1.22821395 … , − 3.05321395 …

Step-by-step explanation:

Solve the equation for  r  

by finding  a ,  b , and  c of the quadratic then applying the quadratic formula.  Exact Form:  r  =  − 73 − √ 29329 80 , − 73 + √ 29329 80  

Decimal Form:   r = 1.22821395 … , − 3.05321395 …

Have a nice day, and I hope this helps!

-kiniwih426

Answer:

20 minutes

Step-by-step explanation:

Given

\(Pavilion: 4\ minutes\)

\(Green\ House: 10\ minutes\)

Required

Determine the time they both arrive together

To do this, we simply determine the common multiple of both numbers:

Start by listing the multiples of 4;

\(4: 4,8,12,16,20,24,28......\)

Next, list the multiples of 10

\(10: 10, 20, 30,40, 50......\)

Their common multiple is: 20

Hence, they'll both arrive at 20 minutes

20 minutes Answer:

Step-by-step explanation:

Edgy

Answer:

C

Step-by-step explanation:

there are 1 x values that have the 2 different y value

Answer:

2 is the sum of one plus one

Answer:

2

Step-by-step explanation:

a. The percentage of people vaccinated were infected is, 1.07%.

b. The percentage of people not vaccinated infected is, 95.65%.

c. The percentage of people infected were vaccinated is, 4.35%.

d. The percentage of people infected were not vaccinated is, 36.85%.

A percentage is a value per hundredth. Percentages can be converted into decimals and fractions by dividing the percentage value by a hundred.

The percentage of people vaccinated were infected is,

= [3/(276 + 3)]×100%

= 1.07%.

The percentage of people not vaccinated infected is,

= (66/3 + 66)×100%.

= 95.65%.

The percentage of people infected were vaccinated is,

= [3/(3 + 66]×100%.

= 4.35%.

The percentage of people infected were not vaccinated is,

= [276/(276 + 473)]×100%.

= 36.85%

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Answer:

30 degrees

Step-by-step explanation:

They are corresponding angles.

Answer: 30 degrees

Step-by-step explanation:

mangle8 and mangle 4 are corresponding angles meaning the angles are both the same.