mathematics ungraded quiz

Answer:

Step-by-step explanation:

so Jada for 1 day, gets charged $30 flat

now, she drove 2 days, so...she's charged 2 * 30 or 60 bucks

plus the mileage

is 0.5 per mile.... so... 1 mile is 0.5

2  miles 2 * 0.5

3 miles 3 * 0.5

4 miles 4 * 0.5

5 miles 5 * 0.5

x miles x * 0.5

she drove "x" miles, whatever that is

we also know, her total cost in the end, was 360

so... those 360 include the 2 days charge, 30 * 2

plus the mileage,  x * 0.5 or 0.5x

so... one can say that

360 = (30 * 2) + 0.5x    <---- solve for "x"

Answer:

150, I believe.

Step-by-step explanation:

If it takes about 30 dollars a day, that would be $60 for 2 days.

The mile expenses should be $300, right? If this is true, we should be able to do: $0.50 * 300.

The answer is 150.

To find the volume of the solid whose base is the region bounded between the curve y = x^2 and the x axis from x = 0 and x = 2, we need to use the method of disks or washers. The volume is V = 6.4π cubic units.

First, we need to find the equation of the curve when rotated around the x-axis. This will create a series of circular cross-sections that we can integrate to find the volume.

The equation of the curve when rotated around the x-axis is:

V = ∫[0,2] πy^2 dx

Since the base is the region between y = x^2 and the x-axis, we can rewrite the equation in terms of x:

V = ∫[0,2] π(x^2)^2 dx

V = ∫[0,2] πx^4 dx

Using the power rule of integration, we can simplify this to:

V = π/5 [x^5] from 0 to 2

V = π/5 (32)

V = 6.4π cubic units

b.) If we use semicircles to create the base, we need to split the solid into two parts, since each semicircle will create a half-cylinder.

The radius of each semicircle is equal to the function y = x^2, so the area of each semicircle is:

A = 1/2 π(x^2)^2

A = 1/2 πx^4

To find the volume of each half-cylinder, we integrate the area over the interval [0,2]:

V1 = ∫[0,2] 1/2 πx^4 dx

V1 = π/10 [x^5] from 0 to 2

V1 = π/10 (32)

V1 = 3.2π cubic units

The total volume of the solid is twice this amount:

V = 2V1

V = 6.4π cubic units.

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17) its equivalence is 3(x + 2y + 1) (option A)

To determine its equivalence, we will factorize the expression:

Hence, its equivalence is 3(x + 2y + 1) (option A)

Answer:

Step-by-step explanation:

A data set which could be represented by the box plot shown above include the following: B. 2, 3, 5, 5, 6, 7, 8, 8, 11.

In Mathematics, a box plot is sometimes referred to as a box-and-whisker plot and it can be defined as a type of chart that is used for the graphical or visual representation of the five-number summary of a data set with respect to locality, skewness, and spread.

By using the box-and-whisker plot (box plot) shown in the image attached above, the five-number summary for the given data set include the following:

By critically observing the box-and-whisker plots (see attachment), we can logically deduce that it represents all of the five-number summary for 2, 3, 5, 5, 6, 7, 8, 8, and 11.

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The balanced chemical equation for the given reaction is:Fe2O3 + 3CO → 2Fe + 3CO2The molar mass of Fe2O3 is 159.69 g/mol. Mass of Fe2O3 = 50.7 g Moles of Fe2O3 = 50.7 g / 159.69 g/mol = 0.3179 mol According to the balanced chemical equation, 1 mole of Fe2O3 reacts with 3 moles of CO.

Hence, the number of moles of CO used = 3 × 0.3179 mol = 0.9538 mol. The molar mass of CO is 28.01 g/mol. Mass of CO used = 0.9538 mol × 28.01 g/mol = 26.7 g Hence, the mass of CO2 formed will be equal to the mass of CO used, i.e., 26.7 g. The molar mass of Fe is 55.85 g/mol. Mass of Fe formed = 0.3179 mol × 2 × 55.85 g/mol = 35.27 g

The number of grams of Fe and the number of grams of CO2 formed when 50.7 g of Fe2O3 reacts with excess CO are 35.27 g and 26.7 g, respectively.

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Answer:

The finance charge is rounded to the nearest cent.

The value of the constant of proportionality (r) is 1.

The quantities x and y are proportional.

If x=5.8, then y=5.8, if x=7.5, then y=7.5 and if x=11.2, then y=11.2.

We need to find the constant of proportionality (r) in the equation y=rx.

If the ratio of one variable to the other is constant, then the two variables have a proportional relationship, If x and y have a proportional relationship, the constant of proportionality is the ratio of y to x. Sometimes, we also represent it as x is to y.

Now, by substituting x=5.8 and y=5.8 in y=rx, we get

5.8=r(5.8)

⇒r=1

Therefore, the value of the constant of proportionality (r) is 1.

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The bicycle tire needs an amount of 115 pumps to be fully inflated. (Correct choice: B)

In this problem we need to determine the number of pumps needed to inflate the bicycle tire at maximum pressure, this number (n) is equal to the maximum capacity of the tire (V), in ounces, and the mass added by a single pump (p), in ounces:

n = V / p

If we know that V = 640 oz and p = 5.6 oz (1 lb = 16 oz), then the number of pumps is:

n = 640 oz / 5.6 oz

n = 114.286

n = 115

An amount of 115 pumps are needed to inflate the bicycle tire to maximum pressure.

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To form the negation of a conditional statement, we change the "if-then" connective to "if and only if", which is represented by the symbol "⟺". This is also known as the biconditional connective.

To form the negation of a conditional statement, we change the "if-then" connective to "if and only if", which is represented by the symbol "⟺". This is also known as the biconditional connective.

For example, the conditional statement "If it rains, then the ground is wet" can be negated by changing the "if-then" connective to "if and only if", resulting in "It is not the case that if it rains, then the ground is wet", which can be written symbolically as "It rains ⟺ The ground is not wet".

Note that the negation of a conditional statement is not equivalent to the inverse or converse of the statement. The inverse of a conditional statement involves negating both the hypothesis and the conclusion, while the converse involves switching the hypothesis and the conclusion.

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The condition known as "eggless baking" is a common problem when baking cakes and other desserts.

It can be caused by not having eggs in the refrigerator or by forgetting to add them to the recipe. Without eggs, the cake batter lacks structure and will not hold together when baked. Without the proteins from the eggs, the cake will be denser and less moist.

Additionally, the cake may not rise as much as desired and the texture may be crumbly or gummy. To solve this problem, you can try substituting other ingredients such as mashed bananas, applesauce, or yogurt. However, it is best to add eggs if possible to ensure the best results.

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a. The Red Sea trough refers to a dip in the upper-level height originating over the eastern Mediterranean moving southeastward, and deepening over the Red Sea.

b. This weather phenomenon manifests itself as it causes a sudden drop in temperatures, thunderstorms, and dust storms.

c. The Red Sea trough presents a challenge to weather forecasting as it is hard to predict when the trough will develop.

d. The Red Sea trough presents several hazards as causes heavy rainfall, strong winds, and a sudden drop in temperatures.

The Red Sea trough is one of the familiar weather patterns in Jordan. It is seen both in spring and fall.

a. The Red Sea trough is a dip in the upper-level height that originates over the eastern Mediterranean, advances southeastward, and deepens over the Red Sea. During the fall and spring seasons, this trough becomes more profound and generates a shallow low-pressure system over the Levant region, resulting in a northwesterly to northeasterly wind.

b. This weather phenomenon manifests itself in terms of weather in several ways. They are as follows:

c. The Red Sea trough presents a significant challenge to weather forecasting. It is difficult to predict when the trough will develop and the magnitude of its impacts on weather. The weather forecasters struggle to estimate the movement of the trough, its depth, and intensity, and the amount of rain and wind it will produce. As a result, the meteorological department often issues warnings and alerts, but the severity and impact of the weather are not always accurately forecasted.

d. The Red Sea trough presents several hazards. They are as follows:

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while statistics is a valuable tool for understanding and making decisions based on data, it is important to remember that mathematics cannot evaluate non-numerical priorities.

Therefore, correct answer will be:- a. Non-numerical priorities

Statistics is a field of mathematics that deals with collecting, analyzing, and interpreting data. It involves the use of mathematical techniques and methods to extract insights and make decisions based on data.

Non-numerical priorities refer to values, beliefs, and preferences that cannot be quantified or measured using numbers. For example, considerations such as morality, ethics, cultural norms, personal opinions, and emotions cannot be expressed or evaluated using mathematical models or statistical techniques.

When making decisions, it is often necessary to take into account these non-numerical priorities, in addition to the quantitative data and analysis.

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Answer:

The distance between two points C=(-1, -3) and H=(2, -8) is 5.831

Step-by-step explanation:

We need to calculate the distance between two points C=(-1, -3) and H=(2, -8)

The formula used to find distance between two points is:

\(Distance=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}\)

We have \(x_1=-1, y_1=-3, x_2=2, y_2=-8\)

Putting values in formula and finding distance:

\(Distance=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}\\Distance=\sqrt{(2-(-1))^2+(-8-(-3))^2}\\Distance=\sqrt{(2+1)^2+(-8+3)^2}\\Distance=\sqrt{(3)^2+(-5)^2}\\Distance=\sqrt{9+25}\\Distance=\sqrt{34}\\Distance=5.831\)

So, the distance between two points C=(-1, -3) and H=(2, -8) is 5.831

Answer:  60 dollars

===============================================

Work Shown:

x = original price

y = sale price

The sale price is always smaller than the original price, so y < x.

The equation linking the two variables is

y = 0.8x

since 80% = 80/100 = 0.8

We know the sale price is $48, which means y = 48. This leads to:

y = 0.8x

0.8x = y

0.8x = 48

x = 48/0.8

x = 60

The original price was $60

Note: since the sale price is 80% of the original price, this must mean that we have a 20% discount (100% - 80% = 20%)

Answer:

y= 0x

Step-by-step explanation:

Answer:

y=0x

Step-by-step explanation:

Example of perfect square trinomial is: x² + 6x + 9 it is expressed as

(x + 3)²

Trinomials are algebraic formulas that include three dissimilar terms, therefore the name "trinomial."

An algebraic expression called a trinomial contains three terms that are non-zero. Trinomial expression illustrations: The trinomial x + y + z has three variables: x, y, and z.

A trinomial is formed when three monomials are added together or subtracted from one another. A quadratic trinomial has the following form: ax² + bx + c, where a, b, and c are real, non-zero values.

Example:

  x² + 6x + 9

= x² + 3x + 3x + 9

= (x +3) (x + 3)

= (x + 3)²

so, this is a perfect square trinomial.

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Answer:-1/2

Step-by-step explanation:rise 1 run back 2

The measurement of m∠2 = 47°.

What is an angle?

An angle is a figure in Euclidean geometry made up of two rays that share a common terminal and are referred to as the angle's sides and vertices, respectively. Angles created by two rays are in the plane where the rays are located. The meeting of two planes also creates angles. We refer to these as dihedral angles.

Given that m∠PQR = 75° and m∠1 = 28°.

From the figure ∠PQS = m∠1 and ∠SQR = m∠2

The angle ∠PQR can be written as the sum of two angles.

∠PQR = ∠PQS + ∠SQR

∠PQR = m∠1 + m∠2

Putting m∠PQR = 75°  and  m∠1 = 28°:

75° = 28° + m∠2

Subtract 28° from both sides:

m∠2 = 75° - 28°

m∠2 = 47°

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Answer:

the answer is x=19 writing more bc I need more characters

Answer:

32°, 58°

Step-by-step explanation:

Let one acute angle measure x.

The other acute angle measures 2x - 6.

The sum of the measures of the acute angles of a right triangle is 90.

x + 2x - 6 = 90

3x - 6 = 90

3x = 96

x = 32

2x - 6 = 2(32) - 6 = 58

Answer: 32°, 58°

\(\mathfrak{\huge{\orange{\underline{\underline{AnSwEr:-}}}}}\)

Actually Welcome to the concept of Circles,

so we get as,

centre as ==> ( -g, -f) ==> (2,-1)

The largest interval on which the solution is defined is (-∞, -1) ∪ (-1, ∞). The interval notation for the largest interval is (-∞, -1) U (-1, ∞).

An initial-value problem is a type of boundary-value problem in mathematics, particularly in the field of differential equations.

The given initial-value problem is a separable differential equation, which can be written as:

dy/dt = -2(t + 1)y²

Integrating both sides, we get:

(1/y) = t² + 2t  + C

where C is the constant of integration.

Since we have an initial condition, we can use it to find the value of C:

y(0) = -1/15
C = -1/15

Solving for C, we get:

C = -1/15

So, the solution to the differential equation is:

(1/y) = t² + 2t -1/15

y = 1 / (t² + 2t -1/15)

The solution is defined for all t ≠ -1, since y = 0 is not defined. So, the largest interval on which the solution is defined is (-∞, -1) ∪ (-1, ∞). The interval notation for the largest interval is (-∞, -1) U (-1, ∞).

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Answer:

They want the flat to be lower than the 5th floor. They want a flat that costs between £875 and £925 per month. Riya finds information about flats to rent.

Step-by-step explanation:

it's not a sure answer, please

don't be sure about it

Answer:

The answer i can really use is x and x+5 but since ur asking of xx and yy here it is:

7.50 = 0.75(x) + 0.5(y)

Here is the 2nd solution (might be the first priority)

7.50 = total amount

0.75 = apple price ; x

0.50 = banana price ; x + 5

7.50 = 0.75(x) + 0.50(x + 5)

7.50 = 0.75x + 0.50x + 2.5

7.5 - 2.5 = 1.25x

5 = 1.25x

x = 4

7.50 = 0.75(4) + 0.50(4 + 5)

7.50 = 3 + 0.50(9)

7.50 = 3 + 4.5

7.50 = 7.50 //checks out

# of apples : x = 4 apples

# of bananas : x + 5 = 4 + 5 = 9 bananas

Step-by-step explanation:

Answer:

21/2

Step-by-step explanation:

(x-8)/5=2/4

step 1 you simplify if you can to make it easier

(x-8)/5=1/2

step 2 multiply each side by 5

x-8=5/2

step 3 add each side by 8

x=5/2+8

16/2+5/2=21/2

x=21/2

Answer:

The displac ment between t = 1 and t = 4 is 272 feet

Step-by-step explanation:

To get the displacement of the ball, we first need to get the equation for the position of the ball with respect to time.

We can do this by differentiating the velocity equation given:

v(t) = -32t +96

integrating between the limits of t = 1 and t = 4, we have

\(s = \int\limits^4_1 {-32t +96} \, dt\)

\(s(t) = -32t^2/2 +96t\)

\(s =[ -16t^2 +96t] t = 4, t =1\)

where t = 4.

s = 256 + (96) =352 feet

Where t = 1

s = 80

Displacement of the ball = 352 -80 = 272ft

The displac ment between t = 1 and t = 4 is 272 feet

Answer:

0.142857...

Step-by-step explanation: