a european made car has a 40 litter gas tank. gas costs $3.499 per gallon. How much does it cost to fill this car's gas tank?\
Search instead for a eurapean made car has a 40 litter gas tank. gas costs $3.499 per gallon. How much does it cost to fill this car's gas tank?\

The best estimate for the weight of a cantaloupe is 2 kilograms (B).

A decigram is 1/10th of a gram, which would be too small of weight for a cantaloupe. 2 grams (C) is also too small for a cantaloupe as it would only be the weight of a few small seeds. 2 milligrams (D) is an extremely small weight, only suitable for a single grain of salt or a tiny insect.

Therefore, 2 kilograms (B) is the most reasonable estimate for the weight of a cantaloupe as it falls within the typical range of cantaloupe weights.

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Complete Question:

Choose the best estimate for the weight of a cantaloupe. Responses

A 2 decigrams

B 2 kilograms

C 2 grams

D 2 milligrams

The areas that needs correction has been attended to and they include the following:

4.)533.8 meters

5.)22686.5 m²

8.)19.06 m

To determine the radius of a circle, the diameter should be divided into two.

For the wheel, the radius is calculated as follows;

Diameter = 150/2

= 85 meters.

For 4.)

The circumference of the wheel with the given radius;

Formula = 2πr

= 2×3.14×85

= 533.8 meters

For 5.)

Area of the wheel = πr²

= 3.14×85×85 = 22686.5 m²

For 8.) The arc length between the two cars;

= circumference/number of compartment

= 533.8/28

= 19.06 m

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The length of the arc with a central angle of 45 degrees and radius 6 cm is 4.71 cm

From the question, we have the following parameters that can be used in our computation:

Central angle = 45 degrees

Radius = 6 cm

Using the above as a guide, we have the following:

Length of arc = central angle/360 * 2 * 3.14 * Radius

Substitute the known values in the above equation, so, we have the following representation

Length of arc = 45/360 * 2 * 3.14 * 6

Evaluate

Length of arc = 4.71

Hence, the length of the arc is 4.71 cm

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Hypothesis Testing: The hypothesis test can be performed to verify the claim made by the retailer regarding the average spending of customers before and after becoming a member. Let's state the null and alternative hypotheses as follows:

Null Hypothesis (H₀): The average spending before and after becoming a member is the same.

Alternative Hypothesis (H₁): After becoming a member, customers tend to spend more than before on average.

To perform the hypothesis test, we can use a paired samples t-test since we are comparing the spending of the same individuals before and after becoming a member.

Let's calculate the test statistic and interpret the result.

1. Calculation of the test statistic:

The paired samples t-test calculates the t-value using the formula:

t = (bar on Xd - μd) / (sd / √n)

Where:

bar on Xd = Mean difference in spending (average spending after - average spending before)

μd = Expected mean difference under the null hypothesis (assumed to be 0)

sd = Standard deviation of the differences

n = Sample size (number of customers)

Given:

bar on Xd = $105 - $88.5 = $16.5

μd = 0 (null hypothesis assumption)

sd = √(($15)^2 + ($11.2)^2) ≈ $18.45 (using Pythagorean theorem as the samples are independent)

n = 20

Plugging the values into the formula:

t = ($16.5 - 0) / ($18.45 / √20)

≈ 5.64

2. Determination of the critical value and p-value:

Since the sample size is small (n = 20), we need to compare the calculated t-value with the critical t-value from the t-distribution table or use software.

The degrees of freedom (df) for a paired samples t-test is n - 1 = 20 - 1 = 19.

For a significance level of α = 0.05 (assuming a 95% confidence level), the critical t-value for a two-tailed test with df = 19 is approximately ±2.093.

3. Decision and interpretation:

The calculated t-value of 5.64 is greater than the critical t-value of ±2.093. Therefore, we reject the null hypothesis (H₀) and conclude that there is sufficient evidence to support the claim that after becoming a member, customers tend to spend more than before on average.

Interpretation:

Based on the results of the hypothesis test, it is statistically significant that membership has a positive effect on customers' spending. On average, customers spend significantly more after becoming a member compared to their spending before.

Alternative Methodology to Compare Member vs Non-member:

To compare member vs non-member spending, an alternative methodology could be to conduct an independent samples t-test. In this approach, two separate groups of customers can be considered: one group consisting of members and the other group consisting of non-members. The average spending of each group can be compared using the independent samples t-test to determine if there is a significant difference between the two groups. This approach allows for a direct comparison between members and non-members without relying on paired data.

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The net of this figure would be a square with four equilateral triangles on each of its sides.

To create the net of this figure we must analyze its sides and the joints of each of its faces. According to the above, we can conclude that this figure is made up of four equilateral triangular faces and a square at its base. To form the net of this figure, the most appropriate thing would be to start at the base and join the sides, in this case there would be four triangles, one on each side of the square. It is very important that the triangles are equilateral and have the same dimensions so that the pyramid can be formed correctly.

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Answer:

y = 9 - 3x

Step-by-step explanation:

9x + 3y - 27 = 0 ( add 27 to both sides )

9x + 3y = 27 ( subtract 9x from both sides )

3y = 27 - 9x ( divide through by 3 )

y = 9 - 3x

Answer:

67°

Step-by-step explanation:

1. The final angle in the top triangle is : 70

The angles in a triangle add up to 180° so 74 + 36 = 110 and 180 - 110 = 70

2. Vertically opposite angles are equal so the angle opposite the one we just found is 70° as well

3. The angles in a triangle add up to 180° so 70 + 43 = 113 and 180 - 110 = 67

Therefore, ? = 67°

Answer:

y= -4x + 3

Step-by-step explanation:

Answer:

y = 4x + 6

Step-by-step explanation:

Answer:

Step-by-step explanation:

1. x+6=14

  14-6=8

  x=8

2. 15/x=3

   15/3=x

   x=5

3. 7*x=56

   56/7=8

   x=8

4. x^2-4=12

  x=4, x=-4

5. 1/4x=10

  x/4 = 10

  x = 40

6. 3x-9=18

    x=9

7. 1/2x-10=14

   x/2-10=14

   x=48

8.x/8=9

   8*9=72

  x=72

9.2x+3=24

   2x=21

 x=21/2

10.20*x=140

   140/20=7

   x=7

Answer:

Step-by-step explanation:

Angle 2 is also 75 deg since vertical angles are congruent

This means angle 1 = 180 - 75 = 105 degrees

Option d is not correct as it uses "II" which is not a commonly used symbol to indicate less than and greater than.

The correct expression to indicate that x is greater than 10 and less than 20 is:

a. 10 < x < 20

This is read as "10 is less than x, and x is less than 20." The symbols "<" and ">" indicate "less than" and "greater than," respectively.

Option b is not correct as it uses parentheses instead of the less than/greater than symbols.

Option c is not correct as it uses "&" and "&&" which are not commonly used symbols to indicate less than and greater than.

Option d is not correct as it uses "II" which is not a commonly used symbol to indicate less than and greater than.

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Answer:

y = 48°

Step-by-step explanation:

angle A = 90°

interior angles of a triangle = 180°

therefore

y = 180 - 42 - 90

y = 48°

\( \huge \tt \color{pink}{A}\color{blue}{n}\color{red}{s}\color{green}{w}\color{grey}{e}\color{purple}{r }\)

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﹌﹌﹌﹌﹌﹌﹌﹌﹌﹌﹌﹌﹌﹌﹌﹌﹌﹌﹌

﹌﹌﹌﹌﹌﹌﹌﹌﹌﹌﹌﹌﹌﹌﹌﹌﹌﹌

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﹌﹌﹌﹌﹌﹌﹌﹌﹌﹌﹌﹌﹌﹌﹌﹌﹌﹌﹌

\( \large \pmb{➪ \: } \rm \pink{ \angle \: OAB+\angle \:ABO+\angle \:BOA = 180 \degree}\)

\( \pmb{➪ \: 90 + y +42 = 180 } \\ \pmb{➪ \:132 + y = 180 \: \: \: \: \: \: \: \: }\\ \pmb{➪ \:y = 180 - 132 \: \: \: \: \: \: \: \: }\\ \pmb{➪ \:y = 48 \degree \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: }\)

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Hence the size of angle is

\( \large \boxed{✥\underline{ \boxed{ \sf{y = 48 \degree \: \pmb{\green{✓}} }}}✥}\)

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Hope it helps !

Answer:

- 8x > 24

Step-by-step explanation:

Given

- 6x - 10 > 14 + 2x ( subtract 2x from both sides )

- 8x - 10 > 14 ( add 14 to both sides )

- 8x > 24 ← required missing step

Divide both sides by - 8, reversing the symbol as a result of dividing by a negative quantity.

x < - 3 ← is the solution

The present value of P that must be invested to have a future A=$3000 at simple interest r=9.5% after 9 months is $2752.29

The final amount = $3000

Simple interest rate = 9.5%

The time period = 9 months

The simple interest formula A = P(1+rt)

Where A is the final amount

P if the initial principal amount

r is the simple interest rate

t is the time period

Substitute the values in the equation

3000 = P(1+(12/100)×(9/12))

3000 = P(1+0.12×0.75)

3000 = P(1.09)

P = 3000/1.09

P = $2752.29

Hence, the present value of P that must be invested to have a future A=$3000 at simple interest rate r=9.5% after 9 months is $2752.29

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Answer: 20

Step-by-step explanation:

15 divided by 3 equals 5 and 15 plus 5 equals 20.

The second equation after eliminating the variable x is 0.5y + 3.5z = 11.5.

To solve the system of linear equations using Gaussian elimination, we'll perform row operations to eliminate variables one by one. Let's start with the given system of equations:

Eliminate x from equations 2 and 3:

To eliminate x, we'll multiply equation 1 by -1.5 and add it to equation 2. We'll also multiply equation 1 by -2 and add it to equation 3.

New equation 3: (4x - 2y + 3z) - 2 * (2x + y - z) = -9 - 2 * 1

Simplifying the equation 3: 4x - 2y + 3z - 4x - 2y + 2z = -9 - 2

Simplifying further: -0.5y - 3.5z = -11.5

So, the second equation after eliminating the variable x is 0.5y + 3.5z = 11.5.

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A quadrilateral is a polygon with 4 number of sides and 4 vertices. The shape of the field is either square or a rhombus.

A quadrilateral is a polygon with 4 number of sides and 4 vertices. A few examples of a quadrilateral are square, rectangle, rhombus, parallelogram, etc.

Given that ABCD represents a field, therefore, the field is a quadrilateral. Now, as the path is going between the field. And starts from A therefore, it will end at C.

Since It is the same distance from BA and BC. Therefore, it will be the diagonal of the quadrilateral. And as BA and BC are consecutive sides and are of the same length.

Hence, the shape of the field is either square or a rhombus.

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Answer:

Step-by-step explanation:

Let the original cost be x

The shoppers get 10% of the original price

Therefore the equation to find final cost =

Discount: 10x/100

Final Cost: 90x/100

Mark brainliest for further answers :)

Answer:

It's B. Some of the ball's energy is transformed to thermal energy.

Step-by-step explanation:

Just Trust Me!

Stephen makes the mistake in the expression as he uses the 4 in the root and the 3 in the power and the expression actually is: ∛(16)/e

We start with the expression:

exp( (4/3)*ln(2) - 1)

Here we can use that:

exp(ln(x)) = x.

and e^(a + b) = e^a*e^b.

the first step here is:

e^((4/3)*ln(2) - 1) = e^((4/3)*ln(2)*e^(-1)

So the first step of Stephen is correct, but the first step of Helen is not, you can not simplify the expression in that way.

now, we have that:

a*ln(x) = ln(x^a)

then we can write:

(4/3)*ln(2) = ln(2^(4/3))

and e^(ln(2^(4/3)) = 2^(4/3)

then we have:

e^((4/3)*ln(2)*e^(-1) = 2^(4/3)/e

now we can write this as:

∛(2^4)/e

Here is where Stephen makes the mistake, he uses the 4 in the root and the 3 in the power.

The expression actually is: ∛(16)/e

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The presence of dappled brown patches on a patient's cheek may indicate a condition called melasma. Melasma is a common skin condition that typically affects women and is associated with hormonal changes, sun exposure, and genetic factors.

Dappled brown patches on the cheek often suggest a condition called melasma. Melasma is a common skin disorder characterized by the development of dark, irregularly shaped patches on the skin. It typically affects women, especially those with darker skin tones, and is often associated with hormonal changes, such as during pregnancy or with the use of birth control pills. Sun exposure is another contributing factor to the development of melasma. Genetic factors also play a role, as it tends to run in families. Melasma is not a harmful or dangerous condition but can cause cosmetic concerns and affect a person's self-esteem.

To manage melasma, various treatment options are available. These include topical creams containing ingredients such as hydroquinone, tretinoin, or corticosteroids, which can help lighten the patches over time.

Chemical peels that involve the application of a chemical solution to exfoliate the skin and reduce hyperpigmentation may also be used. In some cases, laser therapy can be beneficial to target and break up the excess pigment in the affected areas.

It's important to note that melasma may recur, especially with sun exposure, so it's essential to protect the skin from the sun by wearing sunscreen and using protective clothing. Consulting a dermatologist is recommended to determine the most appropriate treatment approach for an individual case of melasma.

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Answer:

False

Step-by-step explanation:

A quadrilateral is a closed geometrical figure that have four sides and four vertices. Thus the following includes in a quadrilateral : parallelogram, square, rhombus, rectangle and trapezium.

If the diagonals of the quadrilateral bisects each other and are perpendicular to each other, then the quadrilateral forms a rhombus.

Hence the answer is FALSE.

Answer:

So since the formula for perimeter is 2(w+h)

200 = 2(w+h)

that means that

100 = w+h

100 = 36+x

x=

64 UNITS

Step-by-step explanation:

Answer:

c

Step-by-step explanation:

Answer:

2π(4^2) + 2π(24) = 32π + 48π = 80π

= about 251.3 ft^2

The approximate area of the trapezoid is determined as  13.95 unit².

The approximate area of the trapezoid is calculated as follows;

Area = ¹/₂(b₁ + b₂)h

Where;

The y-coordinates of the points on the curve at x=3/2 and x=4 is calculated as follows;

y(3/2) = - (3/2)²/2 + 3/2 + 5

y(3/2) = -9/8 + 3/2 + 5

y(3/2) = 5.375

y(4) = -4²/2 + 4 + 5

y(4) = -8 + 9

y(4) = 1

h = 5.375 - 1 = 4.375

The approximate area of the trapezoid is calculated as;

Area = ¹/₂(5.375 + 1) x 4.375

Area = 13.95 unit²

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Answer:

16x25x15=6000

4+11÷2=9.5

Step-by-step explanation:

1) 16x25x15 is 16 times 25 times 15, which is 6000

2) This question requires BIDMAS/BODMAS. As you start with the multiplication (Brackets Indices Multi Divide Add Subtract) 11÷2 = 5.5, 5.5+4=9.5

Answer:

2:1

Step-by-step explanation:

Look at two corresponding sides in the triangles. The sides measuring 20 and 10 are corresponding sides.

20:10 = 2:1

The scale factor from triangle ABC to triangle DEF is 2:1.

A F distribution with 3 degrees of freedom between groups and 32 degrees of freedom within groups.

The degrees of freedom between groups indicate that there are 4 groups being compared (3 degrees of freedom between groups = number of groups - 1, so 3 + 1 = 4 groups). The degrees of freedom within groups represent the total number of participants minus the number of groups.

Since there are equal numbers of participants in each group, we can determine the number of participants per group by dividing the degrees of freedom within groups by the number of groups minus 1. In this case, we have 32 degrees of freedom within groups and 4 groups, so we can calculate as follows: (32 + 4) / 4 = 9 participants per group.

In summary, in this F distribution with 3 degrees of freedom between groups and 32 degrees of freedom within groups, there are 4 groups being compared, and each group has 9 participants, assuming equal numbers of participants per group.

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