what is aquifelent to 3 mi

Answer:37.9 or 38

Step-by-step explanation:

6/15

you add everything she sells together. ( 3+1+6+5=15) Then you put the amount of ovens she sells above taht number, making it a fraction.

Answer:

\(=8x^6y^6z^7\)

Step-by-step explanation:

\((4x^3*y^2*z^4)(2x^3*y^4*z^3)\\\mathrm{Apply\:exponent\:rule}:\quad \:a^b\cdot \:a^c=a^{b+c}\\\:a^c=a^{b+c}\\=4y^2z^4\cdot \:2x^{3+3}y^4z^3\\\mathrm{Add\:the\:numbers:}\:3+3=6\\=4y^2z^4\cdot \:2x^6y^4z^3\\\mathrm{Apply\:exponent\:rule}:\quad \:a^b\cdot \:a^c=a^{b+c}\\y^2y^4=\:y^{2+4}\\=4z^4\cdot \:2x^6y^{2+4}z^3\)

\(\mathrm{Apply\:exponent\:rule}:\quad \:a^b\cdot \:a^c=a^{b+c}\\z^4z^3=\:z^{4+3}\\=4\cdot \:2x^6y^6z^{4+3}\\\mathrm{Add\:the\:numbers:}\:4+3=7\\=4\cdot \:2x^6y^6z^7\\\mathrm{Multiply\:the\:numbers:}\:4\cdot \:2=8\\=8x^6y^6z^7\)

Answer:

x=45

Step-by-step explanation:

i hope its right good luck :)

i think im wrong

Total four triangles of B fit into triangle A as length of the equilateral triangle A is twice the length of triangle B.

As given in the question,

Types of triangles : Equilateral triangle

Number of triangle = 2

Triangle A and Triangle B

Let 'x' be the length of the triangle A

And 'y' be the length of the triangle B

As per given condition:

x = 2y

Area of equilateral triangle A = (√3/4)x²

Area of equilateral triangle B = (√3/4)y²

Now x = 2y

⇒Area of equilateral triangle A = (√3/4)(2y)²

⇒Area of equilateral triangle A = (√3/4)4y²

⇒Area of equilateral triangle A = 4 [(√3/4)y²]

⇒Area of equilateral triangle A = 4 ( area of equilateral triangle B)

Therefore, total number of four equilateral triangle of B fit into equilateral triangle A.

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Approximately 99.7 % of the students spent between $ 271 and $ 407  on textbooks in a semester.

Then , according to the Empirical rule , approximately 99.7% of the data lies with in the 2 standard deviations from mean.

Given : The distribution of the amount of money spent by students on textbooks in a semester is approximately normal in shape with

Mean = 339     standard deviation =  34.

Then ,  by

Empirical rule , approximately 99.7 % of the students spent between Mean ± 2 (Standard deviation) on textbooks in a semester.

where , Mean ± 2 (Standard deviation) = 339 ±  2(34)

=(339-2(34) , 339+2(31))

=(271 , 407)

Hence ,  Approximately 99.7% of the students spent between $ 271 and $ 407 on textbooks in a semester.

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The missing term of the second pair, such that both pairs are analogous is WKPA.

For the first two terms, S is 1 letter before Q,

For the first two terms, S is 1 letter before Q,F is 1 letter before D,

For the first two terms, S is 1 letter before Q,F is 1 letter before D,Y is next to X,

For the first two terms, S is 1 letter before Q,F is 1 letter before D,Y is next to X,N is next to FM.

For the first two terms S is 1 letter before Q,F is 1 letter before D,Y is next to X ,N is next M.Similarly, UIOZ : WKPA. Where W is 1 letter before U,K is 1 letter before I, O is next to P,Z is next A.

Therefore, the correct option is D.

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Refer to the terms given below. There is a pattern that defines the relationship between the first two terms. Determine this relationship and then identify the missing term of the second pair, such that both the pairs are analogous. QDXM : SFYN :: UIOZ : 1) PAQM 2) LPWA 3) QNLA 4) WKPA

The total cost of the computer is 719.95 if Originally the price is 849 the store offers a 20% discount and a 6% sales tax

What is Algebraic expression ?

Algebraic expression can be defined as combination of variables and constants.

To find the purchase total, multiply the price by the percent paid and add the percent of tax.

The store offers a 20% discount

This means you pay 80% of the price. So the discounted price is 0.80(849) = 679.2.

Find the tax to be paid by multiplying 0.06(679.2) = 40.752.

Add the tax for the final total.

679.2 + 40.752 = 719.95

Hence, The total cost of the computer is 719.95 if Originally the price is 849 the store offers a 20% discount and a 6% sales tax

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Answer:

Yes, since the total pay of $120 is more than the $100 cost of the MP3 player.

Step-by-step explanation:

hourly pay: $5/hour

number of hours: 24 hours

total pay = hourly pay × number of hours

total pay = $5/hour × 24 hours

total pay = $120

MP3 player costs $100.

Total pay is $120.

Answer: Yes, since the total pay of $120 is more than the $100 cost of the MP3 player.

In a case whereby Another company is advertising 59$ for their service plan ,The customer bill using Percentages can be expressed as   $67.85.

In math, a percentage is a number or ratio expressed as a fraction of 100. It is denoted by the symbol %. Percentages are commonly used in many areas of math and science, such as statistics, finance, and physics. They are a useful way to express proportions, ratios, and rates in a standardized and easily understandable format.

The equation can be set up as ;

59 * (1+ 15%)

59 * (1.15)

=67.85

Therefore, the customer bill is $67.85

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To answer this question we need to remember the definition of the trigonometric functions:

where opp denotes the opposite leg of the angle, adj the adjacent leg of the angle and hyp the hypotenuse.

Now, in this triangle we notice that for angle B the opposite leg is 15, the adjacent leg is 8 and the hypotenuse is 17. Plugging this values into the definitions above we have that:

The statements supported by the data in the table are:

The mean number of cars sold in a month is the same at both dealerships.

The total number of cars sold is the same at both dealerships.

The data for Admiral Autos shows greater variability.

To determine which statements are supported by the data in the table, let's analyze the given information:

The mean number of cars sold in a month is the same at both dealerships.

To calculate the mean, we need to find the average number of cars sold each month at each dealership.

For Admiral Autos:

(4 + 19 + 15 + 10 + 17) / 5 = 65 / 5 = 13

For Countywide Cars:

(9 + 17 + 14 + 10 + 15) / 5 = 65 / 5 = 13

Since both dealerships have an average of 13 cars sold per month, the statement is supported.

The median number of cars sold in a month is the same at both dealerships.

To find the median, we arrange the numbers in ascending order and select the middle value.

For Admiral Autos: 4, 10, 15, 17, 19

Median = 15

For Countywide Cars: 9, 10, 14, 15, 17

Median = 14

Since the medians are different (15 for Admiral Autos and 14 for Countywide Cars), the statement is not supported.

The total number of cars sold is the same at both dealerships.

To find the total number of cars sold, we sum up the values for each dealership.

For Admiral Autos: 4 + 19 + 15 + 10 + 17 = 65

For Countywide Cars: 9 + 17 + 14 + 10 + 15 = 65

Since both dealerships sold a total of 65 cars, the statement is supported.

The range of the number of cars sold is the same for both dealerships.

The range is determined by subtracting the lowest value from the highest value.

For Admiral Autos: 19 - 4 = 15

For Countywide Cars: 17 - 9 = 8

Since the ranges are different (15 for Admiral Autos and 8 for Countywide Cars), the statement is not supported.

The data for Admiral Autos shows greater variability.

To determine the variability, we can look at the range or consider the differences between each data point and the mean.

As we saw earlier, the range for Admiral Autos is 15, while for Countywide Cars, it is 8. Additionally, the data points for Admiral Autos are more spread out, with larger differences from the mean compared to Countywide Cars. Therefore, the statement is supported.

Based on the analysis, the statements supported by the data are:

The mean number of cars sold in a month is the same at both dealerships.

The total number of cars sold is the same at both dealerships.

The data for Admiral Autos shows greater variability.

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Answer:

\(q=45\)

Step-by-step explanation:

Notice that \((q+2)^{\circ}\) and \((3q-2)^{\circ}\) form a linear pair, that is, they sum to \(180^{\circ}\) as follows:

\((q+2)^{\circ}+(3q-2)^{\circ}=180^{\circ}\\(q+2+3q-2)^{\circ}=180^{\circ}\\(4q)^{\circ}=180^{\circ}\\4q=180\\q=\frac{180}{4}\\q=45\)

Answer: X=0 , 1.03355778

Step-by-step explanation: Isolate the variable by dividing each side by factors that don't contain the variable.

Answer:

6

Step-by-step explanation:

318 / 53  = 6

the remainder is 0

Answer:

x = -4, 1, 4

Step-by-step explanation:

The function is given as:

f(x) = (x² - x -2)/[(x² - 1)(x² -16)]

We want to find the values of x where the graph will have vertical assymptote.

Vertical asymptotes are defined as vertical lines which correspond to the values of x that will make the denominator of a rational function to be zero.

Thus, to get the values of x that we will have vertical assymptotes, we have to equate the denominator to zero.

We have;

[(x² - 1)(x² -16)] = 0

Thus,

x² - 1 = 0

Or

x² - 16 = 0

So;

x² = 1

x = √1

x = 1

Or

x² = 16

x = ±√16

x = ±4

Values of x that give vertical assymptote are;

x = -4, 1, 4

61 for every standard cd player, so, sales is:

61s

66 for every portable cd player, so, sales is:

66p

At least $405 means 405 or more, we can represent this as:

By making "s" be the x-axis and "p" be the y-axis, we can graph this line.

Since it's an inequality that is greater than or equal to, we shade the region "above" the line.

Shown below:

The manager can find the volume of the container using the formula lwh. The employee correctly determines that the container can be filled with 3 layers of 21. He can find the volume of the container by multiplying the number of bento boxes that fill the container by the volume of one bento box. The volume found by using the formula is equal to the volume of the total number​of bento boxes in the container.

In Mathematics and Geometry, the volume of a rectangular prism can be calculated by using the following formula:

Volume of a rectangular prism = LWH

Where:

Part a.

Therefore, the manager can use the following formula;

Volume of container = LWH

Volume of container = 7/2 × 3/2 × 3/2

Volume of container = 63/8 cm³.

Part b.

For the number of bento boxes that can fill the container, we have:

Number of bento boxes = Volume of container/Volume of bento boxes

Number of bento boxes = 63/8/(1/2)³

Number of bento boxes = 63/8/1/8

Number of bento boxes = 63/8 × 8

Number of bento boxes = 63 bento boxes = 3 layers × 21.

Part d.

Volume of container = Volume of bento boxes

63/8 cm³ = 63 × 1/8 cm³

63/8 cm³ = 63/8 cm³ (equal).

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The equation formed after the transformations is given as follows:

\(g(x) = \frac{1}{6}\sqrt{x + 3}\)

The parent function in this problem is defined as follows:

\(f(x) = \sqrt{x}\)

For the vertical shrink by a factor of 1/6, the function is multiplied by 1/6, hence it is given as follows:

\(g(x) = \frac{1}{6}\sqrt{x}\)

For the translation left 3 units, we have that x -> x + 3, hence:

\(g(x) = \frac{1}{6}\sqrt{x + 3}\)

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Answer:

The angles are adjacent and x=100

She bought the bike by 3,000 six years ago, we are assuming the value of her mountain bike depreciated 20% each year

1 year

3,000*20% = 600

2year

3,000-600 = 2,400*20% = 480

3year

2,400-480 = 1920*20% = 384

4 year

1920-384= 1,536*20% = 307.2

5 year

1,536-307.2= 1,228.8*20% = 245.76

6year

1,228.8 - 245.76 = 1,043.04*20% = 208.608

1,043.04 - 208.608 =834.432

Rounded to the nearest dollar

= 834

Answer:

<C=65°

Step-by-step explanation:

Solution Given:

Since the sum of interior angle is 180°

so

(2x+1)°+(5x+5)°+90°=180°

opening bracket

2x+1+5x+5+90=180

solving like terms

7x+96=180

subtracting 96 on both side

7x=180-96

7x=84

dividing both side by 7

x=84/7=12

since <C=(5x+5)°

substituting value

<C=(5*12+5)°=65°

Sum of angles in a traingle=180

<C

Answer:

(L-6)(L+2)

Step-by-step explanation:

Let L be the length of the flower garden.

Then the width will be L-4.

The area of the flower garden = L*(L-4) =L²-4L

The area of the birdbath is 3*4 = 12 ft²

The area of the remaining space for planting is

= Area of flower garden - area of birdbath

We can factor the expression as follows:

taking common frome each two terms

Therefore, the number of feet left for planting is (L-6)(L+2) in factored form.

Answer:

\(z-y+1=0\)

Step-by-step explanation:

We are given that  equation of surface

\(z=ln(x^4+y)\)

Point (0,1,0)

\(z_x=\frac{1}{x^4+y}(4x^3)\)

\(z_x(0,1,0)=0\)

\(z_y=\frac{1}{x^4+y}(1)\)

\(z_y(0,1,0)=1\)

Now, the equation of tangent plane to the given surface at point (0,1,0) is given by

\(z-z_0=z_x(x-x_0)+z_y(y-y_0)\)

Using the formula

\(z-0=0+1(y-1)=y-1\)

\(z=y-1\)

\(z-y+1=0\)

Answer:

C. x < 1

Step-by-step explanation:

Answer:

Amadi: 20 years old

Chima : 4 years old

So, b) and e) are subspaces of R3, and a), c), and d) are not.

a) {(x,y,z) ∈R3 : x = 0} is not a subspace of R3, because it doesn't contain the zero vector (0,0,0) which is a requirement for a subspace. It's also not closed under scalar multiplication.

b) {(x,y,z) ∈R3: x + y = 0} is a subspace of R3, because it's closed under scalar multiplication and addition and it contains the zero vector (0,0,0).

c) {(x,y,z) ∈R3 : xz = 0} is not a subspace of R3, because it's not closed under scalar multiplication and it's not closed under addition

d) {(x,y,z) ∈ R3: y ≥0} is not a subspace of R3, because it's not closed under addition, it doesn't contain the zero vector (0,0,0) and it's not closed under scalar multiplication.

e) {(x,y,z) ∈ R3: x = y = z} is a subspace of R3 because it satisfies all the properties of a subspace, it is closed under addition, scalar multiplication, it contains the zero vector (0,0,0) and the negative of any vector in the set is also in the set. This set contains all the vectors that are multiples of (1,1,1) which forms a subspace.

So, b) and e) are subspaces of R3, and a), c), and d) are not.

Complete Question: For each of the following subsets of R3 determine whether it is a vector subspace of R3 or not. Justify your answer.                                                                                                                                                      

a) {(x,y,z) ∈R3 : x = 0}

b) {(x,y,z) ∈R3: x + y = 0}

c) {(x,y,z) ∈R3 : xz = 0}

d) {(x,y,z) ∈ R3: y ≥0}

e) {(x,y,z) ∈ R3: x = y = z}

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Answer:

A) 3

Step-by-step explanation:

Zeroes, x-intercepts, or roots, are the x-values where the function intersects the x-axis. We can see that the x-axis is intersected 3 times, so there are 3 zeroes.