What is the value of 0.1562 rounded to the nearest hundredth place?

Answer:

Step-by-step explanation:

Is the given equation factorable?

(x - 7)(x - 2) = x^ - 9x + 14 That doesn't work.

-7 * - 2  = 14 but the middle term is - 9 not - 5

x - 7 is not a factor  of x^ - 5x + 14

What is?

Something very ugly (x - 2.5 +/- 2.783 i )

Answer:

C) x + 9 = x + 9

Step-by-step explanation:

An equation has infinite solutions if can simplify to the format: a = a, where a is any number.

This is because it means that any value you plug into x will give you the same true equation and answer.

C meets these requirements as it is already in format a=a, but if we further simplify it, we can see how it works:

Subtract x from both sides: 9=9

Subtract 9 from both sides: x=x

Subtract (x+9) from both sides: 0=0

We can see that C has infinite solutions because any value you put in for x, it will cancel itself out when you solve it, therefore it has infinite solutions.

E.g. x=5

(5) + 9 = (5) + 9

14 = 14

E.g. x=-25

(-25) + 9 = (-25) = 9

-16 = -16

We can also answer this question by solving all the other equations:

A) 2x + 5 - 2x = 2x - 2x + 8

5 = 8

This is not true so this equation has NO solutions.

B) 5x - 2x - 1 = 2x - 2x + 4

3x - 1 + 1 = 4 + 1

3x = 5

x = 5/3 (One solution)

D) I think you've missed a sign here, but it is solvable either way to get to one solution.

Hope this helped!

Answer:

THE ANSER IS C.

Step-by-step explanation:

Answer:

C.

Step-by-step explanation:

It is increasing in the intervals because the line is going up, and the numbers are increasing. It is increasing in the interval [0,3] and the interval [13,16]. It is decreasing in the interval [3,13] because the line on the graph is going down, and the values are decreasing.

Thus, the volume of solid generated by revolving this region about the y-axis is given as:  54π/7. The correct option is c.

To sketch the region, we first plot the curves on the coordinate plane.

The curve x=3y^3 is a parabola that opens to the right and passes through the origin. The curve x=3 is a vertical line that intersects the parabola at y=∛(1/3).

The curve y=0 is just the x-axis.

Now, to find the volume of the solid generated by revolving this region about the y-axis, we use the method of cylindrical shells.

We integrate from y=0 to y=∛(1/3) because those are the limits of integration for the region we are revolving.

The radius of each cylindrical shell is just the value of x at that y-coordinate, which is x=3y^3. The height of each cylindrical shell is the length of the curve, which is just 3 (the length of the vertical line).

Thus, the volume is given by:

V = ∫0^(∛(1/3)) 2π(3y^3)(3) dy
V = 54π/7

Therefore, the correct option is (c) 54π/7.

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The area of the shaded sector is 4π square units.

To find the area of the shaded sector, we need to calculate the central angle formed by the sector. In this case, we are given that the angle JIK is 90 degrees, which means it forms a quarter of a full circle.

Since a full circle has 360 degrees, the central angle of the shaded sector is 90 degrees.

Next, we need to determine the radius of the circle. The line segment IJ represents the radius of the circle, and it is given as 4 units.

The formula to calculate the area of a sector is A = (θ/360) * π * r², where θ is the central angle and r is the radius of the circle.

Plugging in the values, we have A = (90/360) * π * 4².

Simplifying, A = (1/4) * π * 16.

Further simplifying, A = (1/4) * π * 16.

Canceling out the common factors, A = π * 4.

Hence, the area of the shaded sector is 4π square units.

Therefore, the area of the shaded sector, expressed as a fraction times π, is 4π/1.

In summary, the area of the shaded sector is 4π square units, or 4π/1 when expressed as a fraction times π.

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Clearly, |S| = 50.

Count the multiples of 2 between 1 and 50:

⌊50/2⌋ = ⌊25⌋ = 25

(where ⌊x⌋ denotes the "floor of x", or the largest integer that is smaller than or equal to x; in other words, round down to the nearest integer)

Count the multiples of 3 between 1 and 50:

⌊50/3⌋ ≈ ⌊16.667⌋ = 16

Since LCM(2, 3) = 6, the sets of multiples of 2 and multiples of 3 have some overlap. Count the multiples of 6 between 1 and 50:

⌊50/6⌋ ≈ ⌊8.333⌋ = 8

Then by the inclusion/exclusion principle, we remove from S

25 + 16 - 8 = 33

elements, so that the new set S contains 50 - 33 = 17 elements.

\(\bold{Solution:}\)

\(\text{Total number of Bags} = 4\)

\(\text{Total mass in 4 bags } = 6 \ \text{kg}\)

\(\text{Total mass in 1 bag}}=\dfrac{6}{4} \ \text{kg}\)

\(\bold{We \ know \ that}\)

\(\text{1 kg = 1000 gram}\)

\(\text{1 gm}= \dfrac{1}{1000} \ \text{kg}\)

\(\text{we have to convert} \ \dfrac{6}{4} \ \text{kg to grams}\)

​

\(\dfrac{6}{4} \ \text{kg} = \dfrac{6}{4} \times 1000 \ \text{gm}\)

\(=1750 \ \text{gm}\)

\(\bold{So, \ the \ total \ mass \ of \ the \ box \ in \ grams \ is \ 1,500 \ gm}\)

Answer:

11/4

Step-by-step explanation:

4/4 is 1 whole.

We have 2 whole.

So, right now we have: 8/4

We can't forget about the 3/4!

8/4+3/4=11/4

This means your total is 11/4

Hope this helps you out!

-AxekickNebulite

The value of an improper fraction of a mixed number \(2 \dfrac{3}{4}\) would be \(\dfrac{11}{4}\).

Used the concept of the fraction that states that,

A fraction is a part of the whole number and a way to split up a number into equal parts. Or, A number which is expressed as a quotient is called a fraction. It can be written in the form of p: q, which is equivalent to p / q.

Given that the mixed number \(2 \dfrac{3}{4}\).

Now, change the mixed number \(2 \dfrac{3}{4}\)  into an improper fraction as,

\(2 \dfrac{3}{4} = \dfrac{(2\times 4 )+ 3}{4}\)

\(= \dfrac{11}{4}\)

Therefore, The value of an improper fraction would be \(\dfrac{11}{4}\).

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Answer:

66) P = 38m

67) P = 32.7m

Step-by-step explanation:

Perimeter of triangle

P = a + b + c

P = 8 + 16 + 14

P = 38m

Perimeter of trapezoid

P = a + b + c + d

P = 6.4 + 13.6 + 6 + 6.7

P = 32.7

Answer: A. 23

23 - Width

23x2 = 46

46+3 = 49

So..

49 - Length

lx2+wx2 = perimeter

49x2 = 98

23x2 = 46

98+46 = 144

The width of the television will be 23 inches. Then the correct option is A.

Let W be the rectangle's width and L its length.

The perimeter of the rectangle will be defined as the total length of all of its sides. So the rectangle's perimeter will be

Perimeter of the rectangle = 2(L + W) units

The length of a rectangular television is 3 inches longer than its width. The display has a 144-inch perimeter. Then the equation is given below.

L = 2W + 3                  ...1

144 = 2(L + W)            ...2

From equations 1 and 2, then have

144 = 2(2W + 3 + W)

72 = 3W + 3

3W = 69

W = 23 inches

The width of the television will be 23 inches. Then the correct option is A.

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Answer:

hi! the mixed number would be \(2\frac{1}{7}\)

Step-by-step explanation:

a remainder can be written as 1/the divisor

Within-groups design compares the same subjects across time. In this design, participants are measured or observed on multiple occasions, such as before and after an intervention or at different time points.

The purpose of the within-groups design is to examine changes within individuals over time, allowing researchers to assess the impact of an intervention or the natural progression of a phenomenon within the same group of subjects.

By comparing the same subjects across time, within-groups designs help to control for individual differences and increase the internal validity of the study.

This design allows researchers to evaluate the effectiveness of an intervention by assessing changes within individuals and determining if those changes are statistically significant.

It also allows for a more precise assessment of the impact of an intervention or the stability of a phenomenon over time.

Within-groups designs are commonly used in fields such as psychology, education, and medicine to study changes in behavior, cognition, or health outcomes.

They provide valuable insights into individual responses to interventions or the natural course of development or disease progression within a specific group of subjects.

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The meaning of fragments as used in the passage above is pieces. This means that Selma had arranged to collect the pieces of the broken vase.

The meaning of fragments as used in the passage above is pieces. To determine the meaning of a word, we can look at the dictionary meaning as well as the contextual meaning.

The contextual meaning of the word fragments can be seen from what happened earlier which was the breakage of the vase. So, after the vase broke, Selma picked its pieces.

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Answer:

Selma picked through the (broken bits) on the table. The she decided to (repair) the vase.

When x is 20, y is approximately 1.79. This can be determined by using the inverse variation relationship between y and the square of x, and the given initial condition.

In an inverse variation, the relationship between two variables can be expressed as y = k/x^2, where k is a constant. To find the value of k, we can use the given initial condition: when x is 19, y is 2. Substituting these values into the equation, we get 2 = k/19^2. Solving for k, we find k = 722.

Using the value of k, we can then calculate y when x is 20 by substituting it into the inverse variation equation: y = 722/(20^2) ≈ 1.79. Therefore, when x is 20, y is approximately 1.79.

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The weight of the step would be = 1,728kg

The weight of the step can be calculated from the formula of the density of the step after knowing it's volume.

The volume of the step can be calculated by the addition of the volume of 3 squares that makes up the step.

That is , the volume of square1 +square 2 +square 3 = Vol of step.

The volume of square = length ×width×height

For square 1 = 0.6×0.6×1 = 0.36m³

For square 2 = 0.6×0.4×1 = 0.24m³

For square 3 = 0.6×0.2×1 =. 0.12m³

The volume of the step = 0.36+0.24+0.12 = 0.72m³

The density of the step = 2400kg/m³

The formula for density = mass/volume

that is = 2400 = mass/ 0.72

mass = 2400×0.72 = 1,728kg.

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Answer:

124.8

Step-by-step explanation:

Answer: $130

Step-by-step explanation:

60% = 78

1% = 78/ 60

100% = 78/60 ×100

Discount is 40% = $52

The given number is a solution of 2(3x + 1) 2 7x + 4 is 0.

Analyze a number to see if it is an equation's solution.

For the variable in the equation, substitute the integer.

On both sides of the equation, simplify the expressions.

Check the equation to see if it's correct. The number provides a solution if it is accurate. The figure isn't a solution if it's false.

Equations with just one solution. If you solve an equation and the result is a variable equal to a number, the problem only has one solution.

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Answer: the zeros are 0; 9; 5

Step-by-step explanation:

Answer:

The expression is 70 - 9 u .

Step-by-step explanation:

Digit at ones place = u

Let the digit at tens place is y.

Sum of the digits is 7.

y + u = 7

y = 7 - u

So, the number is

10 y + u

= 10 (7 - u) + u

= 70 - 10 u + u

= 70 - 9 u

Answer:

.50 = equally likely as unlikely

1 = certain

.25 = unlikely

0 = impossible

.75 = likely

Step-by-step explanation:

Think of these as percentages, it'll help you figure out.

.50 is 50%

1 is 100%

.25 = 25%

0 is 0%

.75 = 75%

Answer:

128 <33

Step-by-step explanation:

6 ÷ 3 + 32 • 4 - 2 = 128

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Answer:

43850492959035 ksjaklfhda

Step-by-step explanation:

Answer:

x = 29° :)

Step-by-step explanation:

4 + 5x + x + 2 = 180

6x + 6 = 180

6x = 174

174/6 = 29

x = 29

Answer:

Like radicals are those terms that are similar, just like like terms. From this concept we find that option A is correct. 4[∛(7x)] and ∛(7x) are like radicals.

Step-by-step explanation:

Mathematically, like radicals are just like like terms. For example,

x, 2x, -10x, , 7.3x are like terms because the power of x in each case is 1.

xy², -9xy², 13y²x are like terms because the total power of each expression is 3.

Similarly, like radicals are:

√2, -5√2, 1.1√2, etc.

Hence, from the given options, like radical to ∛(7x) is: 4[(7x)].

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To write its equation in the form y is a(xh)2+k and then determine the value of the coefficient a.

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The function whose domain consists of all non-negative real numbers is given as follows:

D. \(y = \sqrt{x}\)

The domain of a function is the set that contains all the values assumed by the input of the function.

For the square root function, the domain is considered by all non-negative real numbers, hence the desired function is given as follows:

\(y = \sqrt{x}\)

Meaning that option D is the correct option.

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The preparation of the stockholders' equity statement for the year ended December 31, 2021, is as follows:

Court Casuals

Statement of stockholers' equity

December 31, 2021

Common Stock                        $116,000

Additional Paid-in Capital  $5,326,000

Retained Earnings              $3,677,000

Treasury Stock                         $-2,000

Total stockholders' equity  $9,117,000

The stockholders' equity statement includes the common stock, additional paid-in capital, retained earnings, and the subtraction of the treasury stock.

Court Casuals

Stockholers' equity on January 1, 2021

Common Stock $90,000

Additional Paid-in Capital $4,100,000

Retained Earnings $3,000,000

Net income for the year, 2021, = $900,000

May 18: Cash $1,300,000 Common Stock $26,000 Additional Paid-in Capital $1,274,000 (26,000 x $50 - $26,000)

May 31: Treasury Stock $4,500 Additional Paid-in Capital $175,500 (4,500 x $40 - $4,500) Cash $180,000

Jul 1: Cash Dividend $223,000 (90,000 + 26,000 - 4,500) x $2 Dividends Payable $223,000

July 31: Dividends Payable $223,000 Cash $223,000

August 18: Cash $130,000 Treasury Stock $2,500 Additional Paid-in Capital $127,500 (2,500 x $52 - $2,500)

Statement of Retained Earnings, December 31, 2021:

Beginning balance  $3,000,000

Net income                 $900,000

Dividends                     -223,000

Ending balance        $3,677,000

Beginning balance  $90,000

May 18: Cash              26,000

Ending balance       $116,000

Beginning balance  $4,100,000

May 18: Cash              1,274,000

May 31: Cash                -175,500

August 18: Cash            127,500

Ending balance      $5,326,000

May 31: Cash                 $4,500

August 18: Cash             -2,500

Ending balance            $2,000

Thus, we can summarize from the stockholders' equity that Court Casuals has outstanding shares of 114,000 (116,000 - 2,000) at $1 par, which is the difference between the ending balances of the common stock and the treasury stock accounts, after reflecting the equity transactions for the year.

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Answer:

x = (u-b^3)^2  /a

Step-by-step explanation:

u = sqrt(ax) + b^3

Subtract b^3 from each side

u- b^3 = sqrt(ax) + b^3 - b^3

u- b^3 = sqrt(ax)

Square each side

(u-b^3)^2 = (sqrt(ax))^2

(u-b^3)^2 =ax

Divide each side by a

(u-b^3)^2  /a = ax/a

(u-b^3)^2  /a = x

x = (u-b^3)^2  /a