You eat at a restaurant for $22. You calculate the tip by multiplying $22 by 0.20. You calculate the tax by multiplying $22 by 0.05. How much did you pay for the meal, including the tip and the tax?​

The factored form of the polynomial 7x³ + 14x² + 3x + 6​ is ( x + 2 )( 7x² + 3 ).

Given the polynomial in the question;

7x³ + 14x² + 3x + 6​

To completely factor, we factor out the greatest common factor from each group.

First, group the first two terms and the last two terms.

( 7x³ + 14x² ) + ( 3x + 6 ​)

Now, factor out the greatest common factor from each group.

( 7x³ + 14x² ) + ( 3x + 6 ​)

7x²( x + 2 ) + ( 3x + 6 )​

7x²( x + 2 ) + 3(x + 2 )

Hence, we have;

( x + 2 )( 7x² + 3 )

Therefore, the factored form is ( x + 2 )( 7x² + 3 ).

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70 °C is equal to 158 °F.

A temperature unit developed from the SI (International System of Units) is the Celsius (symbol: °C).

Prior to the adoption of the metric system, the Fahrenheit (symbol: °F) was a commonly used measurement of temperature.

To convert a temperature from Celsius (°C) to Fahrenheit (°F),

We can use the following formula:

°F = (°C x 1.8) + 32

Where

°F is the temperature in Fahrenheit

°C is the temperature in Celsius.

Substituting 70 for °C,

We get:

°F = (70 x 1.8) + 32

Simplifying the expression:

°F = 126 + 32

°F = 158

Therefore, 70 degrees Celsius is equal to nearly 158 degrees Fahrenheit.

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Answer:

I hope u understand my handwriting

Answer:

9 Paper Clips

Step-by-step explanation:

See picture below :)

Answer:

Step-by-step explanation:

175 cm to inches is 68.8976 or 69 inches

Answer:

13.5

Step-by-step explanation:

9/6 = 1.5

1.5 x 9 = 13.5

The value of 7*2 will be = 14

As per question,

We need to find the value of 7*2

For finding the value of given expression, we will use the identity of multiplication.

So, applying the multiplication identity:

We can write the above as:

(7*2) = (7+7) = 14

Multiplication is a way of calculating the product of two or more integers in mathematics. It is one of the most fundamental mathematical operations that we utilise every day.

Multiplication is the process of taking one integer and multiplying it by a certain number of times. 5 multiplied by 4 is 5 + 5 + 5 + 5 = 20. We took the number 5 and multiplied it by four. This is why multiplication is often known as "times".

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The value which is converted from inches to feet representing the length is given by 38 inches is equal to 3.1667 feet.

Formula which relates the inches and feet is equal to  :

1 inch is equal to 0.0833333 feet.

Now Substitute the value 38 inches which needs to convert  into another unit of length feet we get,

1 inch = 0.0833333 feet

⇒ 38 inches = ( 38 ) × ( 0.0833333 ) feet

⇒ 38 inches = 3.1666654 feet.

⇒ 38 inches =  3.1667 feet ( round upto the four decimal places )

Therefore, the converted value from inches to feet  for the 38 inches is equal to 3.1667 feet.

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∫ 8 (x+a)(x+b) dx = (8/3)x³ + 4x²(a+b) + 8x(ab) + c

The antiderivative of 8 (x+a)(x+b) with respect to x is (8/3)x³ + 4x²(a+b) + 8x(ab) + c.

To evaluate the integral, we can use the distributive property to expand the expression in the integrand:

8 (x+a)(x+b) dx = 8(x² + (a+b)x + ab) dx

We can then integrate each term separately using the power rule of integration:

∫ 8(x² + (a+b)x + ab) dx = (8/3)x³ + 4(a+b)x² + 8abx + c

We can simplify this result by factoring out the constant 8/3 from the first term and using the distributive property to factor out the common factor of 4x from the last three terms:

(8/3)x³ + 4(a+b)x² + 8abx + c = (8/3)x³ + 4x²(a+b) + 8x(ab) + c

We can check our answer by taking the derivative of the result to see if it matches the original integrand. The derivative of (8/3)x³ is 8x², the derivative of 4x²(a+b) is 8x(a+b), the derivative of 8x(ab) is 8ab, and the derivative of the constant c is 0. Adding these terms together, we get the original integrand of 8(x+a)(x+b) dx, so our answer is correct.

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Complete question:

Evaluate the integral. (assume a ≠ b. remember to use absolute values where appropriate. use c for the constant of integration.) 8 (x+a)(x+b) dx

Answer: 90.718 kilograms

Step-by-step explanation:

Answer:

12,370.34 square yards

Step-by-step explanation:

The shaded area between the two circles is known as an annulus.

This can be computed by the formula
A₂ - A₁

where
A₁ = area of the inner (smaller circle)
A₂ = area of the outer (larger circle)

We also have
A₁  = π · r₁²
A₂ = π · r₂²

where
r₁ = radius of inner circle
r₂ = radius of outer circle

So

Area of shaded region (area of annulus)
= π · r₂² - π · r₁²
= π (r₂² - r₁²)

We are given r₁ = 25.9 yds

Outer circle has a radius r₂  = inner circle radius + annulus width
r₂ = 25.9 + 42
r₂ = 67.9 yds

Area of the shaded region
= π (67.9² - 25.9²)

= π (4,610.41 - 670.81)

= π  x 3,939.6

=  12,370.344  square yards (using π = 3.14)
=  12,370.34 square yards (rounded to nearest hundredth)

Answer:

An algebraic expression is a statement of the equality of two expressions formulated by applying to a set of variables the algebraic operations.

Step-by-step explanation:

An example could include x^3 + 1, or something more complicated, like (y^4x^2 + 2xy – y)/(x – 1) = 12

Answer:

Step-by-step explanation:

These are equations which have an = sign and have a variable that needs to be found.

E.g x + 3 = 24

If we have an angle equal to 175.5°, then its supplementary angle is equal to 4.5°.

To solve this problem we must know that an angle and its supplementary add up to 180º, that is, the following equality must be satisfied:

β + α = 180º

The measure of a supplementary angle is the difference between 180° and the given angle. In this case, the given angle is 175.5°. To find the measure of the supplementary angle, we will subtract 175.5° from 180°.
α = 180° - 175.5° = 4.5°

Therefore, the measure of the supplementary angle is 4.5°.

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The actual length of the living area is 134.4 feet if the length in the scale drawing is 16.8 in the scale.

To determine the actual length of the living space from a scale drawing, we need to use the scale factor, which is the ratio of the length in the drawing to the actual length. If the length in the scale drawing is 16.8 inches and the scale is given as a ratio of 1 inch in the drawing to 8 feet in actual size, we can set up a proportion:

1 inch (drawing) / 8 feet (actual)

= 16.8 inches (drawing) / x (actual)

We can cross-multiply and simplify to find x's value:

1 inch × x = 8 feet × 16.8 inches

x = (8 feet × 16.8 inches) / 1 inch

x = 134.4 feet.

Therefore, the actual length of the living space is 134.4 feet.

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The missing information in the square is option(b) x = 4y = 4 √(2) and y = 4.

Given square PQRS, the task is to determine the missing information. A square is a quadrilateral with four equal sides and four equal angles.

The coordinates of the vertices of a square are (x,y), (x+4,y), (x+4,y+4) and (x,y+4).

The missing information, x and y, can be found by solving the equations that represent the sides of the square. We can start by solving for x.

The equation for the side PQ is x + 4y = 2 √(2). Solving this equation for x gives x = 4y - 8 √(2).

Similarly, the equation for the side RS is x + 4y = 4 √(2). Solving this equation for x gives x = 4y = 4 √(2).

Therefore, the missing information is x = 4y = 4 √(2) and y = 4.  

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Your systolic and diastolic blood pressure are used by the Mean Arterial Pressure (MAP) calculator to calculate your mean arterial pressure.

In medicine, the term mean arterial pressure (MAP) refers to a person's average blood pressure throughout one cardiac cycle. On MAP, it is observed that both systemic vascular resistance and cardiac output have an impact.

Systolic and diastolic blood pressure can be used in a formula to calculate mean arterial pressure, or it can be measured directly. A blood pressure cuff provides the information required to estimate the mean pressure in the least invasive way possible.

A comparable method is to measure blood pressure with an oscillometric device, which computes the systolic and diastolic values using only a cuff and a microprocessor. Following the invasive insertion of an arterial catheter with a transducer, the waveform that is left behind establishes the mean pressure.

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The number of adults and the number of children who used the swimming pool is 102 and 304 respectively.

Linear equations involve one or more expressions including variables and constants and the highest exponent of the variable is 1.

System of linear equations involve two or more linear equations which on solving gives the intersecting point of all the solutions.

Let x be the number of adults and y be the number of children who swam on that day.

Total of 406 people swam in the swimming pool that day.

Number of adults + number of children = 406

x + y = 406

Assuming the receipts for admission totaled $609.5.

Cost per child is $1.25 and cost per adult is $2.25.

Cost for x adults and y children is $609.5.

2.25x + 1.25y = 609.5

We have to solve,

x + y = 406

2.25x + 1.25y = 609.5

Multiplying the first equation with 2.25,

2.25x + 2.25y = 913.5

Subtracting 2.25x + 1.25y = 609.5 from 2.25x + 2.25y = 913.5,

y = 304

x = 406 - 304 = 102

Hence the number of adults are 102 and the number of children are 304.

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Answer:

A graph is a visual representation of numerical data. Graphs provide a visual way to summarize complex data and to show the relationship between different variables or sets of data. Graphs are also an excellent way to demonstrate trends and relationships within the data.

Hope it helped!

The conversion of 27cm to inch is 10.63 inches.

A centimeter is a metric unit of measurement equal to one-hundredth of a meter. It is commonly used in many countries for measuring small distances, such as the length of an object or the height of a person. One centimeter is equal to 0.3937 inches.

To convert 27 centimeters to inches, we can use the following formula:

1 inch = 2.54 centimeters

Therefore, to convert 27 centimeters to inches, we can divide 27 by 2.54:

27 cm ÷ 2.54 = 10.63 inches (rounded to two decimal places)

So, 27 centimeters is approximately equal to 10.63 inches.

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She bought three movies and four CD,s and this can be found by doing sum.

we given that price for each movie= 3$.

price for each CD = 2.50$.

The total movies and CD,s bought= 7.

Total dollars spent by her = 19$.

Therefore, the number of movies bought= 3+3+3= 9. ( No. of movies= 3).

similarly, the number of CD,s bought= 2.5+2.5+2.5+2.5= 10.( No. of CD,s= 4).

Hence, out of 19$ , 10 dollars were spent to buy CD,s and the other 9 dollars were spent to buy movies.

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Complete question:- During a sale at the electronics store, movies sold for $3 and CDs sold for $2.50. Isla spent $19 and bought a total of 7 movies and CDs. How many of each did she buy?

Answer:

J is 90° while H is 180°

The slope of each line on the given graph is:

Figure 1: -1/4

Figure 2: 0

Figure 3: -4

Figure 4: 4

The slope (m) of a linear relationship is calculated as rise/run = change in y / change in x.

Figure 1:

Slope (m) = change in y / change in x = -1/4 (the line declines, so the slope will be negative).

Figure 2:

Slope (m) = 0 (this is because there is no rise but run), thus, the slope of any horizontal line is always 0.)

Figure 3:

Slope (m) = change in y / change in x = -4/1 = -4 (the line declines, so the slope will be negative).

Figure 4:

Slope (m) = change in y / change in x = 4/1 = 4 (the line rises, so the slope will be positive).

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Answer:

7:a

Step-by-step explanation:

-15:-2a+9-a-3

-15:-3a+9-3

-15:-3a+6

-15-6:-3a

-21:-3a

Minus sign with be cancelled by each other

21:3a

21/3:a

7:a

The figure W has one Rotational symmetries. This can be observed by rotating the figure by 0 or 180 degrees and noting that the shape remains unchanged. so the correct option is (b).

The letter W has one vertical line of symmetry that divides it into two identical halves. However, it does not have any rotational symmetry of order 2 or higher because there is no way to rotate the letter by a certain angle and have it look the same as before the rotation. Therefore, the answer is (b) 1, as W has only one line of symmetry and no rotational symmetry of order 2 or higher. In other words, if you rotate the letter by any angle other than 0 or 180 degrees, it will look different than before the rotation.

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______The given question is incomplete, the complete question is given below:

How many rotational symmetries does W alphabet have?

a. 0

b. 1

c. 2

d. 3

The value of the expressions are not equal

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the equation be represented as A

Now , the value of A is

Substituting the values in the equation , we get

p = -3²

q = ( -3 )²

On simplifying the equations , we get

The value of p = -9

The value of q = 9

So , the value of p and q are not equal

Hence , the equations are not equal

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Answer:

1/24

Step-by-step explanation:

A nondirectional hypothesis using the t-score of -.493, degrees of freedom of 14, and a p-value of .629 could be:

"There is no significant difference between the two groups on the variable being measured."

This hypothesis is nondirectional because it does not specify which group would have a higher or lower score. The t-score and p-value indicate that the difference between the two groups is not statistically significant at the 95% confidence level.

"For the variable being measured, there is no significant difference between the two groups."

Because it does not state which group would have a greater or lower score, this hypothesis is nondirectional. The difference between the two groups is not statistically significant at the 95% confidence level, according to the t-score and p-value.

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The lithosphere's reservoir of carbon is approximately 10^5.25 or about 177,828 times greater than the biosphere's reservoir of carbon. Rounding this to the nearest order of magnitude gives an answer of (b) 10⁶.

Carbon is one of the most important elements on Earth as it forms the building blocks for life and plays a crucial role in regulating the planet's climate. The carbon cycle is a complex process that involves the exchange of carbon between different reservoirs such as the atmosphere, oceans, biosphere, and lithosphere.

To compare the size of the carbon reservoirs in the biosphere and lithosphere, we can take the ratio of the two reservoirs:

Lithosphere/Biosphere = 100,005,500/560

Simplifying the expression on the right-hand side gives:

Lithosphere/Biosphere = 178,933.93

To convert this ratio to orders of magnitude, we can take the logarithm base 10 of the ratio:

log10(Lithosphere/Biosphere) = log10(178,933.93)

log10(Lithosphere/Biosphere) ≈ 5.25

Therefore, the lithosphere's reservoir of carbon is approximately 10^5.25 or about 177,828 times greater than the biosphere's reservoir of carbon.

Rounding this to the nearest order of magnitude gives an answer of (b) 10⁶.

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The equation for the height of the trapezoid is 402.8 = (1/2)h(14.6 + 35.4)

The formula for the area of a trapezoid is:

A = (1/2)h(b1 + b2)

where A is the area, h is the height, b1 and b2 are the lengths of the two bases.

We can use this formula to write an equation to determine the height of the trapezoid

When the known values are substituted, we have

402.8 = (1/2)h(14.6 + 35.4)

Hence, the equation is 402.8 = (1/2)h(14.6 + 35.4)

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