what is the values of x,y and z?


5x+2y+6z=85​

Answer:

The perimeter of Elie's vegetable garden is 34 meters.

Step-by-step explanation:

The formula for area is: a=w*l.

A = area

W = width

L = length

If the length is 9 meters, then we know two of the values, the area, and the length. Substitute.

72=w*9

You can divide both sides by 9 to get the width, which is 8 meters.

To find perimeter, we add l+w+l+w, or 2l+2w. Substitute for our values:

2(9)+2(8)=34

The perimeter of Elie's vegetable garden is 34 meters.

Answer:

i think it's C sorry if it's wrong

Step-by-step explanation:

i took the test and got it right so

Answer:

The third option

Step-by-step explanation:

1. To determine whether a relation is a function given a graph, use the

following criterion:

2. As you can see, if you draw a vertical line at a specific place in the third graph, it will go through 2 or more points.

Therefore, the correct answer is the third option/graph.

Answer:

y=x+-5

Step-by-step explanation:

y is x+-5 because as you can see in the graph the difference in everysingle one is -5 so y=x-5

Answer:

y=x+(-5)

Step-by-step explanation:

d=-3-(-4)=-3+4=1

y-(-4)=1(x-1)

y+4=x-1

y=x-1-4

or y=x+(-5)

25/9 aka the third option

Answer:

Step-by-step explanation:

3a > 6

a > 2

Answer:

\(b =\sqrt{51}\)

Step-by-step explanation:

Using the Pythagorean Theorem,

\(a^{2} + b^{2} = c^{2} \\7^{2} + b^{2} =10 ^{2} \\b^{2} = 10^{2} - 7^{2} \\b^{2} = 100-49\\b^{2}= 51\\ b = \sqrt{51}\)

Hence the length of the third side is \(\sqrt{51}\)

The most appropriate choice for heat  will be given by-

Amount of heat absorbed by the lead = 1455.12 J

What is heat?

Heat is the form of energy which caused in us the sensation of hotness or coldness.

SI Unit of heat is Joule                              

Here,

Mass (m) of block of lead = 300 gram

Specific heat capacity (c) of block of lead = 0.129 J/g°C.

Increase in temperature (\(\Delta\)t)  of block of lead= 59.9 - 22.3

                                                                           = 37.6° C

Amount of heat absorbed by the lead = \(300 \times 0.129 \times 37.6\)

                                                                = 1455.12 J

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The value of the exponent (2/5)^3 is \(\frac{8}{125}\)

In the above question, it is given that

(2/5)^3

The number of times a number has been multiplied by itself is referred to as an exponent. For instance, the expression 2 to the third (written as 2^3) signifies 2 x 2 x 2 = 8.

We need to solve it and then find the value of the exponent

(2/5)^3

= \(\frac{2}{5}\) x \(\frac{2}{5}\) x \(\frac{2}{5}\)

= \(\frac{2 . 2. 2}{5 . 5 . 5}\)

= \(\frac{8}{125}\)

Therefore the value of the exponent (2/5)^3 is \(\frac{8}{125}\)

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Answer:

Ans ; 1) 7.8 , 2) 3.3×10³ , 3) 2.1 ×10‐³ , 4) 3.7

I hope I helped you^_^

Answer:

Y =0.35x

Step-by-step explanation:

You know you have to pay the 5.50 so that isn't going to change so that'd cleared up. Next .35 is multiplied every mile they drive

The opinion on the fairness of a travel​ professional's salary is not independent of gender.

Given,

A total of 284 travel​ professionals, 108 males and 176 ​females, participated in the survey.

Here,

Null Hypothesis , H0: The opinion on the fairness of a travel​ professional's salary is independent of gender.

Alternative Hypothesis , H1: The opinion on the fairness of a travel​ professional's salary is not independent  of gender.

For expected frequencies , the formula is as follows :

Eij = Ri x Cj/ T

where Ri​ corresponds to the total sum of elements in row i, Cj​ corresponds to the total sum of elements in column j, and T is the grand total.

Here , number of rows and columns are 3 and 2 respectively . thus , The degrees of freedom of \chi²   is (3-1) * (2-1) = 2*1 = 2

\(Test Statistic\chi^2 =\sum_{i} \frac{(O_{ij}-E_{ij})^2}{E_{ij}}\)

where , Oij is the observed frequency and Eij is the expected frequency .

X² = 6.522 + 3.814 + 1.097 + 4.002 + 2.34 + 0.673

X² = 18.448

Thus , the test statistic value i.e.   \(\chi^2 = 18.448\)

P-value:

P-value = 0.0001( Round to four decimal places )

Using the P-value calculator

Thus , p- value for the test is 0.0001 .

Given  α=0.10

Using the P-value approach  ,  P-value = 0.0001 is less than the α = 0.10, it is then concluded that the null hypothesis is rejected.

The required tabular data is attached in the image below .

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Based on the population of the United States and the national debt, the amount each American owed was $57,700

In mid-205, the United States was more than $18 trillion in debt.

The amount the each American will owe from the debt is:

= 18,521,998,000,000 / 321,000,000

Solving gives:

= $57,700

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Answer:

5.99g in one dose.

Step-by-step explanation:

Add up all the chemicals in the mix and divide by 5 to get how many grams are in one dose of medicine. We divide by 5 cause we get 5 doses out of the entire mixture.

\(\frac{10.384+12.061+7.505}{5} =\frac{29.95}{5}=5.99g\)

Answer: x = 3π/2

Hope this helps...... Stay safe and have a great rest of the weekend!!! :D

The general form of the equation 2/3(x - 4)(x + 5) = 1 is 2x^2 + 2x - 43 = 0

and the coefficients of general form a = 2, b= 2 and c = -43

To find the general form of the given equation, we need to simplify and expand the equation.

First, we can simplify the left-hand side of the equation by multiplying 2/3 into the brackets

2/3(x - 4)(x + 5) = (2/3)(x^2 + x - 20)

Next, we can multiply both sides of the equation by 3 to eliminate the fraction

2(x^2 + x - 20) = 3

Expanding the left-hand side, we get

2x^2 + 2x - 40 = 3

Simplifying further, we get

2x^2 + 2x - 43 = 0

So, the coefficients of the general form of the equation are

a = 2

b = 2

c = -43

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The given question is incomplete, the complete question is:

Give the values of a, b, and c needed to write the equation's general form. 2/3(x - 4)(x + 5) = 1

An analysis of variance comparing three treatment conditions produces dftotal = 32. It is possible for the samples to be the same size. The correct answer is b.

To determine the number of individuals in each sample when the total degrees of freedom (dftotal) is 32,

we need to divide the total degrees of freedom equally among the three treatment conditions.

Start with the assumption that each sample has an equal size, denoted as n.

Calculate the degrees of freedom within each sample, denoted as dfwithin.

Since there are three treatment conditions,

each sample has (n-1) degrees of freedom within, resulting in a total of 3(n-1) degrees of freedom within the three samples.

Calculate the degrees of freedom between the samples, denoted as dfbetween.

The dfbetween is equal to the total degrees of freedom (dftotal) minus the degrees of freedom within (dfwithin): dfbetween = dftotal - 3(n-1).

Set up the equation: dftotal = dfwithin + dfbetween.

Substituting the values,

we get: 32 = 3(n-1) + (dftotal - 3(n-1)).

Simplify the equation: 32 = 3(n-1) + (32 - 3(n-1)).

Solve for n: 32 = 3n - 3 + 32 - 3n + 3.

Combine like terms and simplify: 32 = 32.

Since the equation is true regardless of the value of n, it means that the size of each sample can be any positive number, and the samples can be the same size.

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Answer:

I believe Commercial Mathematics is the kind of mathematics for the bussiness world. Where you calculate: There are 12 productions and three companies. Two companies already took 8 productions. How many productions will the last company take?  Stuff like that.

Answer:

Business mathematics, sometimes called commercial math or consumer math, is a group of practical subjects used in commerce and everyday life. A (U.S.) business math course typically include a review of elementary arithmetic, including fractions, decimals, and percentages.

The height of water in the cylinder for the second rain gauge, with an opening 10 times the area of the first rain gauge, is 1 cm.

In the second rain gauge, with an opening 10 times the area of the first rain gauge (B: 200 cm^2), and a collection cylinder with the same opening as the rain gauge in (A: 20 cm^2), we need to determine the height of water in the cylinder for a rainstorm of 10 cm.

To find the height of water in the cylinder, we can use the principle of conservation of volume. The volume of water collected in both rain gauges should be the same since it is from the same rainstorm.

The volume of water collected in the first rain gauge (A) can be calculated using the formula:

Volume = Area * Height

Given that the area of the opening is 20 cm^2 and the height of the water collected is 10 cm, we can find the volume of water collected in rain gauge (A).

Now, let's calculate the volume of water collected in the second rain gauge (B). Since the opening is 10 times the area of the first rain gauge (200 cm^2), we need to find the height of water in the cylinder to maintain the same volume as in rain gauge (A).

By using the formula Volume = Area * Height, we can rearrange it to solve for the height:

Height = Volume / Area

Substituting the volume of water collected in rain gauge (A) and the area of the opening in rain gauge (B), we can calculate the height of water in the cylinder for the second rain gauge.

By performing the calculations, we find that the height of water in the cylinder for the same rainstorm of 10 cm is XXX cm in the second rain gauge.

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A professional rain gauge (B) that is more precise has an opening that is 10 times the area (i.e. 200 cm^2  ). The collection cylinder is the same 20 cm^2  opening as the rain gauge in (A) (i.e. 20 cm^2 ) but a funnel ensure all the water ends up in the collection cylinder. In this second rain gauge, what is the height of water in the cylinder for the same rainstorm of 10 cm rain? ( 2 points)

The midpoint of the line segment is (-2, 2). The correct answer is F. (-2, 2).

What is the equation of the line?

A linear equation is an algebraic equation of the form y=mx+b. where m is the slope and b is the y-intercept.

The midpoint of a line segment with endpoints (x1, y1) and (x2, y2) is given by the formula:

((x1 + x2)/2, (y1 + y2)/2)

Using this formula, we can find the midpoint of the line segment that has endpoints (-10,-4) and (6,8):

Midpoint = ((-10 + 6)/2, (-4 + 8)/2) = (-2, 2)

Therefore, the midpoint of the line segment is (-2, 2). The correct answer is F. (-2, 2).

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Answer:

ex:Speed (S) is the ratio of the distance (D) covered to the time (t) taken.

That is, S = D/t

Suppose Andrew ran a distance D1 in 1 hour (3600 seconds) at a Speed, say S1, we have

S1 = D1/t

We can then say he ran a distance

D1 = t × S1

= 3600S1

Similarly, let's say Karleigh ran a distance

D2 = t × S2

= 3600S2

Let us compare these two, you will notice that the bigger number between S1 and S2 is going to determine the bigger number between D1 and D2.

Let's choose random numbers for S1 and S2 for clarity, say S1 = 5, S2 = 10

D1 = 3600 × 5

= 18000

D2 = 3600 × 10

= 36000

This makes D2 bigger than D1. this is an example i found on the internet.

Step-by-

hope this helps, good luck

The ratio of the change in distance to the corresponding change in time

gives the speed of a runner.

Reasons:

The tables are;

Andrew

\(\begin{tabular}{|cc|c|}Time in Minutes&&Distance in miles\\18&&1.5\\24&&2\end{array}\right]\)

Karleigh

\(\begin{tabular}{|cc|c|}Time in Minutes&&Distance in miles\\30&&3\\40&&4\end{array}\right]\)

The duration each on the treadmills is 1 hour = 60 minutes

\(\displaystyle Speed = \mathbf{\frac{Change \ in \ distance}{Change \ in \ time}}\)

Therefore;

\(\displaystyle Andrew's \ speed = \frac{2 \, miles - 1.5 \, miles}{24 \, minutes - 18\, minutes} = \mathbf{\frac{1}{12} \ mile/minute}\)

\(\displaystyle The \ distance \ Andrew \ ran = \frac{1}{12} \ miles/min \times 60 \ min = \mathbf{5 \ miles}\)

\(\displaystyle Karleigh's \ speed = \frac{4 \, miles - 3 \, miles}{40 \, minutes - 30 \, minutes} = \mathbf{\frac{1}{10} \, mile/minute}\)

\(\displaystyle The \ distance \ Karleigh \ ran = \frac{1}{10} \, miles/min \times 60 \ min = \mathbf{6 \ miles}\)

Therefore;

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Answer:

$787.50

Step-by-step explanation:

To find the determinant of a matrix using row reduction to echelon form, you can follow these steps:

1. Start with the given matrix.

2. Apply row operations to convert the matrix into echelon form. Row operations include multiplying a row by a nonzero scalar, adding a multiple of one row to another, and swapping two rows.

3. Continue performing row operations until you reach the echelon form, where all leading coefficients (the leftmost nonzero entry in each row) are 1 and the entries below leading coefficients are all zeros.

4. Once you have the matrix in echelon form, the determinant can be calculated by multiplying the leading coefficients of each row.

5. If you perform any row swaps during the row reduction process, keep track of the number of swaps. If the number of swaps is odd, multiply the determinant by -1.

Let's look at an example to illustrate these steps. Suppose we have the following 3x3 matrix:

| 2  1  3 |
| 1 -2 -4 |
| 3  0  1 |

Step 1: Start with the given matrix.

Step 2: Apply row operations to convert the matrix into echelon form.

First, we can multiply the first row by -1/2 and add it to the second row, resulting in:

| 2   1   3  |
| 0  -5/2 -5/2|
| 3   0    1  |

Next, multiply the first row by -3/2 and add it to the third row, giving us:

| 2   1   3  |
| 0  -5/2 -5/2|
| 0  -3/2 -8/2|

Finally, multiply the second row by -2/5 to get a leading coefficient of 1:

| 2   1   3  |
| 0   1    1 |
| 0  -3/2 -8/2|

Step 3: The matrix is now in echelon form.

Step 4: Calculate the determinant by multiplying the leading coefficients of each row:

2 * 1 * (-8/2) = -8

Step 5: Since no row swaps were performed, we don't need to multiply the determinant by -1.

Therefore, the determinant of the given matrix is -8.

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(a) Isla's trading cards are 125% of Lily's trading cards.

(b) Lily's trading cards are 80% of Isla's trading cards.

Given that,

There are 225 trading cards and Lily has 180 trading cards.

To calculate the percentage of Isla's trading cards compared to Lily's,

We can use this formula:

⇒ Isla's trading cards / Lily's trading cards x 100%

Plugging in the values we get:

⇒ (225 / 180) x 100% = 125%

Therefore,

Isla's trading cards are 125% of Lily's trading cards.

b) To calculate the percentage of Lily's trading cards compared to Isla's, we can use the formula:

⇒ Lily's trading cards / Isla's trading cards x 100%

Plugging in the values we get:

(180 / 225) x 100% = 80%

Therefore,

Lily's trading cards are 80% of Isla's trading cards.

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Answer:

8.95p-3.2q+8.7

Step-by-step explanation:

Answer:

8.95,    3.2,     8.7

Step-by-step explanation:

In response to the stated question, we may state that y = 4x²-9 The discriminant is (-9)² - 4(4)(0) = 81. Since the discriminant is positive, there are two real solutions.

A quadratic equation is x ax2+bx+c=0, which is a single variable quadratic polynomial. a 0. Because this polynomial is of second order, the Basic Theorem of Algebra implies that it has at least one solution. Simple or complex solutions are possible. A quadratic equation is a quadratic equation. This means it has at least one word that must be squared. The formula "ax2 + bx + c = 0" is a common solution for quadratic equations. where a, b, and c are numerical coefficients or constants. where the variable "X" is unnamed.

y=x²-3x+2

The discriminant is (-3)² - 4(1)(2) = 1. Since the discriminant is positive, there are two real solutions.

y = 2x² - 4x +3

The discriminant is (-4)² - 4(2)(3) = -8. Since the discriminant is negative, there are no real solutions.

y=-3x² + 5x-1

The discriminant is (5)² - 4(-3)(-1) = 29. Since the discriminant is positive, there are two real solutions.

y = x’−5x−10

The discriminant is (-5)² - 4(1)(-10) = 65. Since the discriminant is positive, there are two real solutions.

y=x²+2x-1

The discriminant is (2)² - 4(1)(-1) = 8. Since the discriminant is positive, there are two real solutions.

y = 4x²-9

The discriminant is (-9)² - 4(4)(0) = 81. Since the discriminant is positive, there are two real solutions.

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Answer:

240

Step-by-step explanation:

Using the straight line formula; y=mx+c, take two points, for example, (4, 80) and (5, 100)

m=change in y/change in x, so;

m=(100-80)/(5-4)= 20

Take point (4, 80)

80=20×4 + c

80-80=c=0

so y=20x

y=20×12=240