Prove the following question
​

Answer: Elise ran faster.

Step-by-step explanation:

Elise 2 mi in 15 min

Tengan 3 km in 15 min

We need to covert the miles (mi) or kilometers (km) so that they are both the same. You should know that 1 mi = 1.6 km. After you convert the measurements, you can compare. Since they both are measured in minutes, you don't have to worry about that, but if they aren't you should convert it one or the other, so that they are the same.

2 mi = 3.2 km (Elise)

3 km (Tengan)

Elise is 0.2 faster than Tengan.

Answer:

Elise ran faster

Step-by-step explanation:

Elise ran faster because 3 kilometers is equal to 1.86 miles. 2 miles is equal to 3.22 kilometers.

The equation of the line is 9x+8y + 19 = 0 and 5x - 4y+ 19 = 0 According to the given graphs, these are the equations of the graph.

Consider two points on the blue line.

The points are (5, -8) and ( -3,1 ).

Equation of the blue line is:

y - 1 = [tex]\frac{-8-1}{5+3} (x+3)[/tex]

8 (y - 1) = -9 ( x + 3)

8y - 8 = -9x -27

9x + 8y + 19 = 0

Therefore, the Equation of the blue line is 9x + 8y + 19 = 0.

Consider two points on the red line.

The points are (-3, 1) and ( 1,6 ).

Equation of the red line is:

y - 1 = [tex]\frac{6-1}{1+3} (x+3)[/tex]

4 (y - 1) = 5 (x + 3)

4y - 4 = 5x + 15

5x - 4y+ 19 = 0

Therefore, the Equation of the red line is 5x - 4y+ 19 = 0.

Hence, the equations for the given blue and red lines are completed.

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The enthalpy change of each step in the cycle must be added together to obtain the enthalpy of formation of the desired compound.

The enthalpy of formation of a compound that cannot be synthesized directly from the constituent elements can be calculated using the Hess's Law. Hess's Law states that the enthalpy change of a reaction is independent of the route taken from reactants to products. This law allows for the enthalpy of formation of a compound to be determined by summing the enthalpy changes of a series of known reactions, referred to as a ‘thermochemical cycle’, which lead to the compound of interest. To use this law, the enthalpy of formation of the intermediate species formed during the reaction must be known.

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Answer:

(a) Pour montrer que la suite (Un) est géométrique, il suffit de vérifier que le quotient de deux termes consécutifs est constant. Soit n un entier naturel non nul. Alors :

Un+1 / Un = (Un-4) / (Un) = 1 - 5/Un

Donc, pour tout n E N*, on a :

Un+1 / Un = 1 - 5/Un = (Un / Un) - (5/Un) = (Un - 5) / Un

On a bien trouvé une raison q = -5/1, et un premier terme U1 = U1 - 5.

(b) La raison de la suite (Un) est q = -5/1. En utilisant la formule générale de la suite géométrique, on obtient :

Un = U1 * q^(n-1) = (U1 - 5) * (-5)^(n-1)

En particulier, on a :

U_n = U_1 * q^{n-1} = (U_1 - 5) * (-5)^{n-1} = U_12 = (U_1 - 5) * (-5)^{12-1}

(c) On n'a pas suffisamment d'informations pour déterminer la valeur de U1, donc on ne peut pas calculer directement la valeur de U12.

The simplified form of the polynomial expression in standard form is: - x² - 8x - 8

The standard form of a polynomial is usually expressed by writing the highest degree of terms first then the next degree and so on. The standard form of polynomial is given by, f(x) = aⁿxⁿ + aⁿ⁻¹xⁿ⁻¹ + aⁿ⁻²xⁿ⁻² + ... + a₁x + a₀, where x is the variable and a_i are coefficients.

The polynomial expression is given as (x+4)² is subtracted from 8. Thus, we have:

8 - (x+4)²

Expanding gives:

8 - (x² + 8x + 16)

= 8 - x² - 8x - 16

= - x² - 8x - 8

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The amount to be paid as monthly installment for 24 equal monthly installments is given by 30,278.65 pesos.

Area bought by Vincent =  105. 7 square meters

Cost per square meters =  12,500. 00 pesos per square meter.

The total cost of the lot is the product of the area and the price per square meter,

Cost

= 105.7 sq m ×12,500.00 pesos/sq m

= 1,321,250.00 pesos

Amount paid by Vincent in cash is equals to

= 0.45 × 1,321,250.00 pesos

= 594,562.50 pesos

The remaining balance to be paid in installments is equals to,

= 1,321,250.00 pesos - 594,562.50 pesos

= 726,687.50 pesos

This balance will be paid in 24 equal monthly installments, so the monthly installment amount is equals to,

= 726,687.50 pesos / 24 months

= 30,278.65 pesos per month (rounded to the nearest cent)

Therefore, amount paid by Vincent as monthly installment is equal to 30,278.65 pesos.

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The coordinate of the point U that divides the line ST in the ratio 2:5 is: (12:6)

The formula for the division of line segments in the ratio m:n is

P = {[(mx2 + nx1)/(m + n)], [(my2 + ny1)/(m + n)]}

We are given the coordinates of line Segment ST as: S(10, 2) and T(17, 16)

Thus, if the ratio is 2:5, we have:

U(x, y) = {[(2*17 + 5*10)/(2 + 5)], [(2*16 + 5*2)/(2 + 5)]}

U(x, y) = (84/7), (42/7)

U(x, y) = (12, 6)

Thus, that is the coordinate of the point U that divides the line ST in the ratio 2:5.

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The mean number of patients who recover is 8, and the variance is 1.6.

This scenario follows a binomial distribution, where the number of patients who recover from the disease out of a sample of ten patients follows a binomial distribution with parameters n = 10 (sample size) and p = 0.8 (probability of success).

The mean (μ) and variance (σ^2) of a binomial distribution are given by

μ = np

Substitute the values in the equation

= 10 x 0.8

Multiply the numbers

= 8

σ^2 = np(1-p)

Substitute the values in the equation

= 10 x 0.8 x (1-0.8)

= 1.6

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Answer:

3.1% of Ramon's earning are spent on electricity.

Step-by-step explanation:

Ramon's monthly salary

= $1,710

Electricity rent

=$53.60

*work show below*

[tex]\frac{53.60}{1,710} *100[/tex]

0.0313450292397661*100=3.134502923976608

3.134502923976608 rounded to the nearest tenth is 3.1%...

Thus my-our answer checks out! have a great day bestie!

Answer:

Step-by-step explanation:

1)   [tex]6x^4 \times 6x^4 = 36x^8[/tex]                (needs to be [tex]36x^{16}[/tex] )

2)   [tex](4y^2) \times (4y^2) =16y^4[/tex]    (needs to be [tex]25y^4[/tex] )

1)   Change both [tex]6x^4 \text{ terms to } 6x^8.[/tex]

2)  Change both [tex]4x^2 \text{ terms to } 5y^2.[/tex]

Bonus:

Need to change a minus to a plus,

     [tex]36x^{16}-25y^4=(6x^8+5y^2)(6x^8-5y^2)[/tex]

Answer:c 4.2 cups

Step-by-step explanation:

just do 63 divided 15

Answer: rectangleular pyramid

Step-by-step explanation:

Translation: The blue figure can be moved to the red figure by a translation of three units to the right and one unit down.

Reflection: The blue figure can be moved to the red figure by a reflection over the x-axis.

Rotation: The blue figure can also be moved to the red figure by a rotation of 90 degrees counterclockwise.

Transformation in mathematics is the process of changing an object or figure in some way. This includes changing the size, position, rotation or reflection of an object. Transformations can also be used to move a figure from one coordinate system to another. Common transformations include translation, rotation, reflection and scaling.

To demonstrate this transformation, imagine the blue figure being shifted three units to the right and one unit down, such that it is now completely overlapping the red figure.

This transformation can be visualized by imagining the figure being flipped along the x-axis, so that the right side of the figure is now on the left side and vice versa.

To demonstrate this transformation, imagine the blue figure being spun 90 degrees counterclockwise, so that the top of the figure is now on the left side and the bottom is on the right side. This rotation will align the figure with the red figure.

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The height of the trapezium is 5mm, given that the two parallel sides have lengths of 6mm and 8mm, and the area of the trapezium is 35mm².

To find the height of a trapezium given its area and the lengths of its parallel sides, we use the formula:

Area = (a + b) * h / 2

where a and b are the lengths of the parallel sides, h is the height, and Area is the area of the trapezium.

In this case, we are given that the area of the trapezium is 35mm², and we know that the two parallel sides have lengths 6mm and 8mm. So, we can substitute these values into the formula and solve for h:

35 = (6+8) x h/2

Simplifying the right-hand side of the equation, we can combine the two lengths of the parallel sides and multiply by h, and then divide by 2 to get:

35 = 14h / 2

Multiplying both sides by 2, we get:

70 = 14h

Dividing both sides by 14, we get:

h = 5

Therefore, the height of the trapezium is 5mm.

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Answer:

Let x = the cost of a movieLet y = the cost of a gameUsing these variables,

we can set up equations.3x + 5y = 42 eq19x + 7y = 72 eq2

We have here a system of equations, where we have two or more equations with two or more different variables.

We use the elimination method to solve for the variables.

Multiply eq1 by 3. Keep eq2.

9x + 15y = 126 eq1

9x + 7y = 72 eq2

Subtract eq2 from eq1 to eliminate the x terms.

8y = 54y  

= 6.75

This rental cost of one video game is $6.75

Substitute the value of y into eq1 to solve for x.

This will give you the rental cost of one movie.

Step-by-step explanation:

The Surface area of the given cuboid is found to be 872 sq, in.

Three-dimensional shapes with length, breadth, and height are called cuboids. Six of the cuboid's sides are referred to as faces.

Surface area of a cuboid is = 2(lw + 2lh + hw0

S.A = 2[(17)*(8) + (8)*(12) +(12)*(17)]

S.A = 2*436

S.A = 872

Thus, the Surface area of the given cuboid is found to be 872 sq, in.

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the worker will have earned $231,584.10 from the period of beginning 1962 through the end 1980.

To solve this problem, we can use the formula for the sum of a geometric series:

S = a(1 - rⁿ)/(1 - r)

where S is the sum of the series, a is the first term, r is the common ratio, and n is the number of terms.

In this case, the first term is $8,400 and the common ratio is 1.05 (since the worker's salary increases by 5% each year). We need to find the sum of the series from 1962 to 1980, which is 19 years. So, the total amount that the worker will have earned from the beginning of 1962 through the end of 1980 is:

S = 8,400(1 - 1.05¹⁹)/(1 - 1.05)

S ≈ $231,584.10

Therefore, the worker will have earned approximately $231,584.10 during this period.

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The probability of obtaining a sample result of a mean of $470 or more if the true population mean is 460 is very low, almost zero.

To calculate the probability of obtaining a sample result of a mean of $470 or more, we need to use the sampling distribution of the mean.

Assuming that the sample size is large enough and that the sample means are normally distributed, we can use the central limit theorem to approximate the sampling distribution of the mean to a normal distribution. We can standardize the sample mean using the formula

z = (x - μ) / σ,

where x is the sample mean, μ is the population mean, and σ is the standard error of the mean.

In our case, we want to find the probability of obtaining a sample mean of $470 or more. We can convert this to a z-score by standardizing it using the formula

z = (470 - 460) / (σ / √n),

where n is the sample size.

If the sample size is 100 and the population standard deviation is 10, then the standard error of the mean is 1. We can then calculate the z-score as

=> z = (470 - 460) / (1 / √100) = 10.

We can look up the probability of obtaining a z-score of 10 or greater in a standard normal distribution table, which is almost zero.

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Using division operation, the length it will take the three hoses to fill the pool is 8.33 hours.

The division operation is one of the four basic mathematical operations, including addition, subtraction, and multiplication.

The division operation involves the dividend, the divisor, and the result called the product.

In this situation, it will take Hose A 10 hours to fill the pool and Hose B 5 hours.  If the two hoses are in use, it will 7.5hours (10 + 5)/2.

When the third hose is added, it will take 8.33 hours (10 + 5 + 10)/3.

The first hose's filling rate for the pool = 10 hours

The second hose's filling rate for the pool = 5 hours

The third hose's filling rate for the pool = 10 hours (the slower rate)

The total number of hours used by the three hoses = 25 hours (10 + 5 + 10)

The number of hoses used = 3

The length of time it will take the 3 hoses to fill the pool = 8.33 hours (25/3)

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When Trevor graduated high school, he put his pirating CDs behind him and got a job at a clothing store to save money for college. Saving money is an essential part of financing college.

A student can achieve their dream of attending college by following the steps below.

Step 1: Create a budget. Creating a budget is the first step in saving for college. The budget should include all expenses, such as tuition, room and board, books, and other fees.

Step 2: Find ways to save money. Save money by finding ways to reduce spending on non-essentials such as entertainment, dining out, and shopping. Every little bit counts, and the savings can be put toward college.

Step 3: Explore scholarships and financial aid. Apply for financial aid and scholarships to help pay for college. Grants, loans, and scholarships are available from federal, state, and private sources.

Step 4: Consider community college or online education. Consider community college or online education as an affordable way to earn college credit and save money.

Step 5: Work and save Continue working and saving money during college. A part-time job or paid internship can help cover expenses and reduce student loan debt.

These are the essential steps for saving money for college. A student can explore these options and make smart financial decisions to achieve their dream of attending college.

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  x⁴ - x³ - 4x² - x + 1 = 0 is the solution of quadratic equation.

What in mathematics is a quadratic equation?

A quadratic equation is a second-order polynomial equation in one variable using the formula x = ax2 + bx + c = 0 and a 0. Given that it is a second-order polynomial equation, the algebraic fundamental theorem ensures that it has at least one solution.

                             The answer could be simple or complicated. The equation of the second degree is a quadratic equation. This indicates that it contains a phrase that is squared, at least once.

x² + 1/x² - x - 1/x - 4 = 0

x⁴ + 1 -x³ - x - 4x²/x² = 0

  x⁴ - x³ - 4x² - x + 1 = 0

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1: The measure of arc JML is: arc JML = 176°

3: m∠WXY = 59°

5: The measure of the arc is: arc FE = 54°

7: The measure of the angles are: m∠A  = 79° and m∠B  = 112°

9: The value of x is: x = 9

No. 1

The measure of inscribed angle is half the measure of its intercepted arc. That is:

∠ JKL = 1/2 * arc JML

88 = 1/2 * arc JML

arc JML = 2 * 88

arc JML = 176°

No. 3

arc WY =  360 - 86 - 156 = 118° (sum of angles in a circle)

m∠WXY = 1/2 * arc WY

m∠WXY = 1/2 * 118

m∠WXY = 59°

No. 5

An angle inscribed in a semicircle is a right angle. Thus, m∠DFE = 90°

m∠EDF = 180 - 90 - 63 = 27° (sum of angles in a triangle)

m∠EDF  = 1/2 * arc FE

27°  = 1/2 * arc FE

arc FE = 2 * 27

arc FE = 54°

No. 7

The opposite angle in a cyclic quadrilateral add up to 180°. That is:

m∠A + m∠C  = 180°

m∠A + 101 = 180

m∠A  = 180 - 101

m∠A  = 79°

m∠B + m∠D  = 180°

m∠B + 68 = 180

m∠B  = 180 - 68

m∠B  = 112°

No. 9

67 = 1/2 * (16x - 10)

67 * 2 = (16x - 10)

16x - 10 = 134

16x  = 134 + 10

16x = 144

x = 144/16

x = 9

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Answer:

Step-by-step explanation:

To find when people stop watching the video, we need to find the maximum point of the quadratic function y = -0.75x² + 9.75x.

The x-coordinate of the maximum point of a quadratic function can be found using the formula x = -b/2a, where a and b are the coefficients of the quadratic function.

Using the formula with a = -0.75 and b = 9.75, we get:

x = -9.75 / 2(-0.75)

x = -9.75 / -1.5

x = 6.5

Therefore, the maximum number of views per day will occur on the 6.5th day after the video was posted.

To determine when people stop watching the video, we need to check the values of y after this point.

When x > 6.5, the quadratic function becomes negative, which means that the number of views per day will start to decrease. Therefore, people stop watching the video after 6.5 days (or sometime around the 7th day).

In the following question, Yes, the confidence interval suggests that the difference observed in this sample will also generalize to the larger population.

What is a confidence interval? A confidence interval is a probability statement that provides an interval of plausible values that are likely to contain the value of a population parameter. It is a way to infer the population parameter value from sample data.

A confidence interval is calculated as a range of values that are predicted to include the unknown population parameter, based on the sample statistic. The confidence interval suggests that the difference, if any, observed in this sample will also generalize to the larger population.

A confidence interval with a high level of confidence (e.g. 95%) would have a wider range of values and a higher probability of including the population parameter. The interpretation of the confidence interval is that we are 95% confident that the actual population parameter falls within the calculated interval. Therefore, it implies that the sample data is likely to be representative of the population data.

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The cοοrdinates οf the fοurth vertex K must be the reflectiοn οf the pοint L(-4,3) acrοss the οrigin, which is (4,-3).

Thus, οptiοn D is cοrrect.

Cοοrdinate geοmetry is a branch οf mathematics that deals with the study οf geοmetry using the principles οf algebra.

The rectangle IJKL is fοrmed by cοnnecting the pοints I, J, K, and L in a clοckwise οr cοunterclοckwise manner. Since I and J have the same x-cοοrdinate and are οn οppοsite sides οf the x-axis, and L and K have the same y-cοοrdinate and are οn οppοsite sides οf the y-axis, it fοllοws that the diagοnals οf the rectangle IJKL intersect at the οrigin (0,0).

Therefοre, the cοοrdinates οf the fοurth vertex K must be the reflectiοn οf the pοint L(-4,3) acrοss the οrigin, which is (4,-3).

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The new box would need approximately 8 ounces of paint and would hold 120 cups of sugar.

To find out how much paint the new box would need and how much sugar it would hold, follow these steps:
1. The original box holds 15 cups of sugar, and it takes 2 ounces of paint to cover it completely. When you double the dimensions of the box, areas are scaled by [tex]k^2[/tex] (k is the scale factor), and volumes are scaled by[tex]k^3.[/tex]
2. Since you double the dimensions, the scale factor k is 2.
3. The surface area of the box will be scaled by [tex]k^2, which is 2^2 = 4.[/tex]So, the new box will need 4 times the amount of paint that the original box needed. Since the original box needed 2 ounces of paint, the new box will need 2 × 4 = 8 ounces of paint.
4. The volume of the box will be scaled by [tex]k^3, which is 2^3 = 8[/tex]. So, the new box will hold 8 times the amount of sugar that the original box held. Since the original box held 15 cups of sugar, the new box will hold 15 × 8 = 120 cups of sugar.
In conclusion, the new box would need approximately 8 ounces of paint and would hold 120 cups of sugar.

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To calculate the number of different special pizzas possible with any 6 toppings out of 16, we can use the combination formula:C(16,6) = 16! / (6! * (16-6)!) = (161514131211) / (654321) = 8008

there are 8,008 different special pizzas possible with any 6 toppings out of 16.

To calculate the number of different special pizzas possible with any 6 toppings out of 16, we need to use the combination formula, which is given by:

C(n, k) = n! / (k! * (n - k)!)

where n is the total number of items to choose from, and k is the number of items we want to choose.

In this case, n = 16 (the total number of toppings available), and k = 6 (the number of toppings we want to choose).

Plugging these values into the formula, we get:

C(16, 6) = 16! / (6! * (16 - 6)!)

= (16 * 15 * 14 * 13 * 12 * 11) / (6 * 5 * 4 * 3 * 2 * 1)

= 8008

Therefore, there are 8,008 different special pizzas possible with any 6 toppings out of 16.

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The sales price of the two shirt with 30%off on original price and 7% sales tax is equal to $22.47.

Original price of one shirt = $15

Number of shirts bought = 2

Sale discount = 30% off on original price

Sale price of one shirt = Original price - 30% of the original price

Substitute the value we get,

⇒Sale price of one shirt = 15 - (0.30)(15)

⇒Sale price of one shirt = $10.50

The cost of two shirts is equal to,

2 x $10.50 = $21.00

Sales tax = 7% of the total cost.

Substitute the value we have,

⇒Sales tax = 0.07 x $21.00

                   = $1.47

Total cost of two shirts = Cost of two shirts + Sales tax

⇒ Total cost of two shirts = $21.00 + $1.47

⇒ Total cost of two shirts = $22.47

Therefore, the total cost of two shirts at the sale price including the 7% sales tax is $22.47.

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According to the question, we are given a triangle XYZ

where,

Angle sum property states that sum of all the angles of triangle is 180°. So by adding all the three angles we will get the required value of a.

∠X + ∠Y + ∠Z = 180°

30° + 20° + 2a° = 180°

50° + 2a° = 180°

2a° = 180° - 50°

2a° = 130°

a° = 130/2

a° = 65°

Therefore, required value of a is 65°

Answer:

B

Step-by-step explanation:

remember : the sum of all angles in a triangle is always 180°.

are you sure the third angle is called ZZ ?

I am rather sure it would be called XY !

so,

180 = ZX + ZY + XY = 30 + 20 + 2a

130 = 2a

a = 130/2 = 65°

The correct interpretations of the given quantity are C and E.

C. Your daily viewing time is greater than 90% of all Netflix users.

E. 90% of all Netflix users viewing times per day are less than your daily viewing time.

To understand the correct interpretation, we need to first understand what the 90th percentile means. It refers to the value below which 90% of the data falls.

If your daily viewing time is in the 90th percentile of all Netflix users, it means that your viewing time is greater than 90% of all users. In other words, only 10% of users watch more Netflix than you, and your viewing time is greater than the viewing time of 90% of users.

Therefore, options C and E are the correct interpretations.

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Complete Question:

Suppose the amount of time (in minutes) per day that you spend watching Netflix is in the 90th percentile of all account users. Which interpretation(s) of this quantity are correct? Select ALL that apply.

A. You spend approximately 90 minutes per day watching Netflix.

B. 90% of all viewers spend more time on Netflix per day than you.

C. Your daily viewing time is greater than 90% of all Netflix users.

D. There is a 90% probability that a randomly selected viewer spends less time than you watching Netflix per day.

E. 90% of all Netflix user viewing times per day are less than your daily viewing time.

F. 90% of all Netflix user viewing times per day are less than or equal to your daily viewing time.