Which decimal is less than 0.12 and greater than 0.008?

Step-by-step explanation:

$60÷8=$7.50

divide by 8 because 5+3=8

each book should of cost $7.50

Answer:

t = 2 and t = 3.

Step-by-step explanation:

To solve the equation 2^(2t) - 12(2^t) + 32 = 0, we can use a substitution to simplify the equation. Let's set u = 2^t:Substituting u = 2^t, the equation becomes:u^2 - 12u + 32 = 0Now we have a quadratic equation in terms of u. We can solve it by factoring or using the quadratic formula. Let's try factoring:(u - 4)(u - 8) = 0Setting each factor equal to zero, we have:u - 4 = 0 or u - 8 = 0Solving for u:u = 4 or u = 8Now, substitute back u = 2^t:For u = 4:

2^t = 4Taking the logarithm base 2 of both sides:

t = log2(4)

t = 2For u = 8:

2^t = 8Taking the logarithm base 2 of both sides:

t = log2(8)

t = 3

Answer:

$0.21 per ounce (rounded to nearest cent)  

Step-by-step explanation:

8 ounces --- $1.69

1 ounce --- \(\frac{1}{8}\) × $1.69 = $0.21 (rounded to nearest cent)

Question:

What is the Unit Price per ounce?​

Answer:

If 8 ounces cost $1.69, then 1 ounce costs $1.69/8 = $0.21125, which is 21.125 cents, which rounds to 21.1 cents (because 2 is less than 5)

Answer:

Step-by-step explanation:

it is true

The expression that is equivalent to  ∛ 5 * \(\sqrt[5]{4}\) is \(5^{1/3}*4^{2/5}\)

A radical in mathematics is the opposite of an exponent, which is symbolized by the sign "n√" also known as root.

The number before the symbol or radical is regarded as an index number or degree, and it can either be a square root or a cube root and so on.

This equation represents exponents in fraction form and the basics for the calculation is from

x^(b/n)

\(\sqrt[n]{x}^{b}\)

Rewriting the expression is done as below

∛ 5

= \(5^{1/3}\)

and

\(\sqrt[5]{4}\)

\(= 4^{2/5}\)

combining both gives

∛ 5 * \(\sqrt[5]{4}\)

\(5^{1/3}*4^{2/5}\)

\(5^{1/3}*4^{2/5}\) is the equivalent expression

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Answer:

Y intercept (0,120), x-intercept (10,0)

Step-by-step explanation:

Answer:

I have completed the answers and attached them to the explanation.

Step-by-step explanation:

Answer:

Step-by-step explanation:

The question asks for a subtraction expression:

length is always a positive number so bigger number first here.

OB = 4-(-1)              >only moves in x direction so subtract x's

AB = 4-(-2)             >only moves in y direction so subtract y's

Answer:

∠3

∠4

∠KVM

∠KVL

∠LVM

Step-by-step explanation:

The vertex of an angle are the corners of the angle that form a "V". Given that information, we know that angles 3 and 4 have the vertex of V, while the others have v as a vertex [of their own] in that scenario.

Answer:

50%, 20%, 36%

Step-by-step explanation:

A: 2012=190, 2014=285. 95 more students. 95 is half of 190.

B: 2014=285, 2015=228. 57 less students. 57 is 20% of 285.

C: 2013=210, 2014=285. 75 more students. 75 is roughly 36% of 210.

Answer:

79-83= 2

84-88 =4

89-93= 5

94-98=2

Step-by-step explanation:

put in order then you can just count them

The measure οf the supplementary angle οf x = 61.33° is fοund tο be 118.67°.

An angle is a figure in plane geοmetry that is created by twο rays οr lines that have a shared endpοint. The twο rays are termed the sides οf an angle, and the cοmmοn terminatiοn is called the vertex. Angles are typically expressed as degrees. A "prοtractοr" is a crucial geοmetrical instrument that aids in measuring angles in degrees. Twο sets οf numbers οn a prοtractοr are οriented in οppοsitiοn tο οne anοther. On the οutside rim, οne set gοes frοm 0 tο 180 degrees, while οn the inner rim, the οther set gοes frοm 180 tο 0 degrees.

Let the angle be x.

Twο angles are cοmplementary when their sum is 90°.

Tοw angles are supplementary when their sum is 180°

If x is οne angle, then its cοmplementary angle is (90-x)°

Given x is 4 mοre than twice its cοmplement.

We can write the equatiοn as:

x = 4 + 2*(90-x)

Sοlving,

x = 4 + 180 - 2x

3x = 184

x = 61.33°

Nοw we are asked tο find the supplementary angle οf x.

Supplementary angle = 180 - x = 180 - 61.33 = 118.67°

Therefοre the measure οf the supplementary angle οf x = 61.33° is fοund tο be 118.67°.

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Answer:

A. Line A

Step-by-step explanation:

Line A is decreasing so it has a negative slope.

Answer:

\( \boxed{\sf 15x^2 + 2} \)

Step-by-step explanation:

Simplify the expression:

\( \sf \implies(10 {x}^{2} - 1 + 4x) + (3 + 5 {x}^{2} - 4x)\)

Grouping like terms, 10x² + 5x² + 4 x - 4 x - 1 + 3 = (10 x² + 5x²) + (4 x - 4 x) + (-1 + 3):

\( \sf \implies (10 x^2 + 5 x^2) + (4 x - 4 x) + (-1 + 3)\)

10x² + 5x² = 15x²:

\( \sf \implies 15 x^2 + (4 x - 4 x) + (-1 + 3)\)

3 - 1 = 2:

\( \sf \implies 15 x^2 + (4 x - 4 x) + 2\)

4 x - 4 x = 0:

\( \sf \implies 15 x^2 + 2\)

The frequency which is to filled in the table is 1, 4, 2 and 4.

Given that;

All shopping time of ten shopkeeper:

25, 29, 25, 18, 24, 28, 36, 25, 33, 37

We have to complete the frequency in the table. Frequency of something is the number of times that number is coming.

Since, Shopping time is given as ,

25, 29, 25, 18, 24, 28, 36, 25, 33, 37

And, Intervals for which frequency is given is ,

18 to 22, 23 to 27, 28 to 32, 33 to 37.

Hence, WE get;

Numbers in the range 18 to 22 = 18  therefore 1

Numbers in the range 23 to 27 = 25, 25, 24, 25 therefore 4

Numbers in the range 28 to 32 = 29, 28  therefore 2

Numbers in the range 33 to 37 = 36, 33, 37,  therefore 3

Hence, the frequency which is to filled are 1, 4, 2 and 4.

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13773847837383738373733338

Answer:

36%

Step-by-step explanation:

25÷100=0.25

1% = 0.25

9÷0.25=36

Answer: 20, and 52

Step-by-step explanation: lets "translate" the sentence

one number=a

the other numebr b=2a+12

a+b=72

a+2a+12=72

3a=72-12

3a=60

a=60/3=20

a=20

b=52

a=b=72

The player made 38 foul shots.

Let's indicate the player's total number of field goals made by F and foul shots attempted by S. Based on the data in the problem, we may construct an equation system:

F + S = 55 (the player made a total of 55 baskets) (the player made a total of 55 baskets)

2F + S = 89 (the player scored a total of 89 points) (the player scored a total of 89 points)

The substitution approach can be used to find the values of F and S. We start by resolving the initial S equation:

S = 55 - F

Next, we change S in the second equation to the following expression:

2F + (55 - F) = 89

When we simplify and find F, we obtain:

F = 17

Hence, the player connected on 17 field goals. We may change this value of F into the first equation and then solve for S to determine the total number of foul shots:

17 + S = 55

S = 38

The player so scored 38 fouls.

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The exponential equation that represents the relationship between the air pressure and the elevation above the Earth's surface is

y = 14.7 x 0.827^x

The air pressure at the top of Mount Everest, elevation 29,000 feet is approximately 1.931 psi

To write an exponential equation for the relationship between the air pressure and the elevation above the Earth's surface, we can use the form y = a x b^x,

where y is the air pressure,

x is the elevation,

and a and b are constants.

We can use the data given in the problem to find the values of a and b.

Let y = air pressure (psi)

x = elevation (feet)

We know that at sea level (x = 0), y = 14.7 psi

At Denver, Colorado, elevation 5280 feet, y = 12.15 psi

We can use these two points to find the values of a and b in the equation y = a x b^x

12.15 = 14.7 x b^5280

b = (12.15/14.7)^(1/5280)

b = 0.827

a = 14.7

The exponential equation that represents the relationship between the air pressure and the elevation above the Earth's surface is

y = 14.7 x 0.827^x

b.) To find the air pressure at the top of Mount Everest, elevation 29,000 feet, we can substitute that value for x into the exponential equation.

y = 14.7 x  0.827^29000

y = 1.931 psi

The air pressure at the top of Mount Everest, elevation 29,000 feet is approximately 1.931 psi. It's worth noting that this is a very low air pressure and the human body is not able to survive with such low pressure without proper equipment.

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This question was not properly written

Complete Question

Evaluate

6c^2 + 2cd + 3d- 4/-6d - 3

when c = 1 and d= -2. Enter an integer or a fraction.

Answer:

Step-by-step explanation:

6c^2 + 2cd + 3d- 4/-6d -3

c = 1 and d= -2.

6 × 1^2 + 2 × 1 × -2 + 3(-2) - 4]/ -6× (-2) -3

6+ (-4) +[ (-6) - 4]/-6(-2) - 3

6 - 4 + -10/12 - 3

2 - 10/9

= -8/9

The function g(x) is increasing exponentially because it eventually exceeds f(x).

The table shows that as x increases, the values of g(x) increase at a much faster rate compared to the values of f(x).

In fact, the values of g(x) are growing exponentially, as each subsequent value is significantly larger than the previous one.

Therefore, the function g(x) is most likely increasing exponentially.

Thus, g(x) is increasing exponentially because it eventually exceeds f(x).

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The greatest joint relative frequency value is 0.35.

Suppose the value of which a thing is expressed in percentage is "a'

Suppose the percent that considered thing is of "a" is b%

Then since percent shows per 100 (since cent means 100), thus we will first divide the whole part in 100 parts and then we multiply it with b so that we collect b items per 100 items(that is exactly what b per cent means).

We need to Write the percent as a fraction in simplest form

16.24%

So, we can rewrite it as;

16.24 / 100

16 and 24/100 or 16 6/25

So the percent as a fraction is 16 6/25

We are given that;

Number of people have bikes do not have bikes have skateboards70 30

Number of people do not have skateboards 80 70

Now,

Part A:

The student created the segmented bar chart correctly. The chart accurately represents the data from the two-way table, with the first bar showing the distribution of students who have bikes and the second bar showing the distribution of students who do not have bikes. Within each bar, the segments represent the distribution of students who have or do not have skateboards, respectively. The percentages of each segment also match the relative frequencies in the table.

Part B:

The greatest joint relative frequency value is 0.35, which represents the proportion of students who both have skateboards and do not have bikes. This value is found in the cell of the table where the row for "Have Skateboards" intersects with the column for "Do Not Have Bikes". In other words, 35% of the 12th grade students in the school have skateboards but do not have bikes at home. This is the highest proportion among all the possible combinations of bike and skateboard ownership.

Therefore, by the given percentage answer will be 0.35.

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A salary slip for the month of March 2023 with information given below.

Salary Slip - March 2023

Employee Details:

Name: [Employee Name]

Employee ID: [Employee ID]

Designation: [Employee Designation]

Earnings:

Basic Salary: [Basic Salary]

House Rent Allowance (HRA): [HRA]

Dearness Allowance (DA): [DA]

Incentive: [Incentive]

Total Earnings: [Total Earnings]

Deductions:

Provident Fund (PF): [PF]

Insurance: [Insurance]

Loss of Pay (LOP): [LOP]

Total Deductions: [Total Deductions]

Net Pay: [Net Pay]

Breakdown:

Basic Salary: 50% of CTC (18L) = [Basic Salary]

HRA: 20% of Basic Salary = [HRA]

DA: 12% of Basic Salary = [DA]

Incentive: 75% of target completion = [Incentive]

Total Earnings = Basic Salary + HRA + DA + Incentive = [Total Earnings]

PF: 12% of Basic Salary = [PF]

Insurance: Rs. 2500 = [Insurance]

LOP: [LOP]

Total Deductions = PF + Insurance + LOP = [Total Deductions]

Net Pay = Total Earnings - Total Deductions = [Net Pay]

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Answer:

2

Step-by-step explanation:

Area = length * width * height

  4/5 * 3/2 * 5/3

=  60/30

= 2

Answer:

118 degrees

Step-by-step explanation:

180-62 = 118

The Polynomial x⁵ + x³ - 5 is divided by x - 2, the quotient is x⁴ + 3x³ + 6x² + 12x + 24, and the remainder is 48.

The quotient and remainder when the polynomial x⁵ + x³ - 5 is divided by x - 2, we can use polynomial long division. Here's the step-by-step process:

1. Write the dividend (x⁵ + x³ - 5) and the divisor (x - 2).

   x - 2 | x⁵ + x³ + 0x² + 0x - 5

2. Divide the first term of the dividend (x⁵) by the first term of the divisor (x) to get x⁴. Write x⁴ above the line. x⁴

   x - 2 | x⁵ + x³ + 0x² + 0x - 5

3. Multiply the divisor (x - 2) by the quotient term (x⁴) to get x⁵ - 2x⁴. Write this under the dividend and subtract it.  x⁴

  x - 2 | x⁵ + x³ + 0x² + 0x - 5

 - (x⁵ - 2x⁴)

3x⁴ + 0x³ + 0x² + 0x - 5

4. Bring down the next term (-5) from the dividend.

x⁴ + 3x³

x - 2 | x⁵ + x³ + 0x² + 0x - 5

- (x⁵ - 2x⁴)

3x⁴ + 0x³ + 0x² + 0x - 5

5. Divide the first term of the new dividend (3x⁴) by the first term of the divisor (x) to get 3x³. Write 3x³ above the line.

 x⁴ + 3x³

   x - 2 | x⁵ + x³ + 0x² + 0x - 5

 - (x⁵ - 2x⁴)

3x⁴ + 0x³ + 0x² + 0x - 5

6. Multiply the divisor (x - 2) by the new quotient term (3x³) to get 3x⁴ - 6x³. Write this under the new dividend and subtract it.

x⁴ + 3x³

x - 2 | x⁵ + x³ + 0x² + 0x - 5

- (x⁵ - 2x⁴)

3x⁴ + 0x³ + 0x² + 0x - 5

- (3x⁴ - 6x³)

6x³ + 0x² + 0x - 5

7. Repeat steps 4-6 until you have subtracted all terms.

x⁴ + 3x³ + 6x² + 12x + 24

x - 2 | x⁵ + x³ + 0x² + 0x - 5

- (x⁵ - 2x⁴)

3x⁴ + 0x³ + 0x² + 0x - 5

- (3x⁴ - 6x³)

6x³ + 0x² + 0x - 5

- (6x³ - 12x²)

12x² + 0x + 0

 - (12x² - 24x)

 24x + 0

- (24x - 48)

 48

8. The quotient is x⁴ + 3x³ + 6x² + 12x + 24, and the remainder is 48.

Therefore, when the polynomial x⁵ + x³ - 5 is divided by x - 2, the quotient is x⁴ + 3x³ + 6x² + 12x + 24, and the remainder is 48.

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a) The step in which McKenna made her first mistake is given as follows: Step 4.

b) The correct simplified expression in standard form is given as follows: -15a - 15.

The expression in this problem is defined as follows:

3 − 5(3a + 6)

On the third step, the expression is given as follows:

3 + (−5)(3a + 6)

And on the fourth step, the expression is given as follows:

−2(3a + 6).

This is where the mistake happened, as the multiplication takes precedence over the subtraction.

Then to obtain the correct expression the first step is applying the distributive property, as follows:

3 − 5(3a + 6) = 3 - 15a - 18.

Then the like terms 3 and -18 are combined to obtain the correct simplified expression, as follows:

3 - 15a - 18 = -15a - 15.

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