V=1/3Ah
make h the subject of the formula when A=15 and h= 7​

The solution of the linear system is x =3212.5, y =3750, and z =750.

We are given that;

The system= \(\( \left[\begin{array}{cccc}-5 & 3 & -9 & 300 \\ -2 & 1 & -3 & 350 \\ 0 & 1 & -2 & 150\end{array}\right] \)\)

Now,

First, we'll convert the augmented matrix to row-echelon form:

\($$\left[\begin{array}{cccc}-5 & 3 & -9 & 300 \\ -2 & 1 & -3 & 350 \\ 0 & 1 & -2 & 150\end{array}\right]\xrightarrow{R_1 \leftrightarrow R_2}\left[\begin{array}{cccc}-2 & 1 & -3 & 350 \\ -5 & 3 & -9 & 300 \\ 0 & 1 & -2 & 150\end{array}\right]\xrightarrow{R_2 + \frac{5}{2}R_1 \rightarrow R_2}\left[\begin{array}{cccc}-2 & 1 & -3 & 350 \\ 0 & \frac{7}{2} & -\frac{15}{2} & 1125 \\ 0 & 1 & -2 & 150\end{array}\right]$$\)

\($$\xrightarrow{\frac{2}{7}R_2 \rightarrow R_2}\left[\begin{array}{cccc}-2 & 1 & -3 & 350 \\ 0 & 1 & -\frac{15}{7} & \frac{2250}{7} \\ 0 & 1 & -2 & 150\end{array}\right]\xrightarrow{R_3-R_2 \rightarrow R_3}\left[\begin{array}{cccc}-2&1&-3&350\\0&1&-\frac{15}{7}&\frac{2250}{7}\\0&0&-\frac{1}{7}&-\frac{750}{7}\end{array}\right]$$\)

Now, we'll convert it to reduced row-echelon form:

\($$\xrightarrow{-7R_3 \rightarrow R_3}\left[\begin{array}{cccc}-2&1&-3&350\\0&1&-\frac{15}{7}&\frac{2250}{7}\\0&0&1&750\end{array}\right]\xrightarrow{(R_1+3R_3 \rightarrow R_1) (R_2+\frac{15}{7}R_3 \rightarrow R_2)}\left[\begin{array}{cccc}-2&1&0&2150\\0&1&0&3750\\0&0&1&750\end{array}\right]$$\)

\($$\xrightarrow{-\frac12 R_1 \rightarrow R_1}\left[\begin{array}{cccc}1&-\frac12&0&-1075\\0&1&0&3750\\0&0&1&750\end{array}\right]\xrightarrow{(R_1+\frac12 R_2 \rightarrow R_1)}\left[\begin{array}{cccc}1&0&0&3212.5\\0&1&0&3750\\0&0&1&750\end{array}\right]$$\)

Therefore, by linear system answer will be x =3212.5, y =3750, and z =750.

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Answer:

-5¹⁰

Step-by-step explanation:

(-5⁵)² = -5⁵ˣ² = -5¹⁰ = 9,765,625

Answer:

it is typically 22 to 7

Step-by-step explanation:

if you divide 22 by 7 you get 3.142857143...

Answer:

  22/7

Step-by-step explanation:

You want to know a ratio commonly used as an alternative to 3.14 for an approximation to pi.

The value 3.14 as an approximation of pi is obtained by simply truncating the value to 2 decimal places. That makes the approximation lower than the actual value by about 0.0507%.

Rational approximations can be found from the expression of pi as a continued fraction. Truncating that fraction at various points gives the approximations ...

  22/7 . . . . high by about 0.0402%

  333/106 . . . . low by about 0.0026%

  355/113 . . . . . high by about 0.0000085%

22/7 is the most commonly used rational approximation of pi instead of 3.14.

__

Additional comment

The continued fraction is non-repeating. It starts ...

  \(3+\cfrac{1}{7+\cfrac{1}{15+\cfrac{1}{1+\cfrac{1}{292+\cfrac{1}{1+\dots}}}}}\)

The dimensions are as follows

14

x = 21

GK = 167

HJ = 98

HGJ = 159

GKJ = 201

15.

x = 9

AD = 108

BC = 23

DC = 139

DCB = 162

The value of x is solved using the concept of angles in a point and this is 360 degrees

Figure 14

9x - 22 + 61 + 5x - 7 + 34 = 360

collecting like terms

9x + 5x  - 22 + 61  - 7 + 34 = 360

solving for x

14x + 66 = 360

14x = 360 - 66

x = 294 / 14

x = 21

GK = 9x - 22 = 9 * 21 - 22 = 167

HJ = 5x - 7 = 5 * 21 - 7 = 98

HGJ = GH + HJ = 61 + 98 = 159

GKJ = GK + KJ = 167 + 34 = 201

15.

12x + 17x - 14 + 2x + 5 + 90 = 360

collecting like terms

12x + 17x + 2x - 14 + 5 + 90 = 360

solving for x

31x + 89 = 360

31x = 360 - 81

x = 279 / 31

x = 9

AD = 12x = 12 * 9 = 108

BC = 2x + 5 = 2 * 9 + 5 = 23

DC = 17x - 14 = 17 * 9 - 14 = 139

DCB = DC + CB = 23 + 139 = 162

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The ladder on pulling 6 feet father from the house now reaches 45.83 feet, which is lower than previous height.

The distance between ladder and house, the distance till ladder reaches and length of ladder given by Pythagoras theorem. The distance till ladder reaches is perpendicular, ladder is hypotenuse and the base is horizontal distance between the two. So, finding the base first.

Base² = 50² - 48²

Base² = 2500 - 2304

Base² = 196

Base = ✓196

Base or horizontal distance = 14 feet.

Now, on moving 6 feet, the horizontal distance will be 14 + 6 = 20 feet. Finding the new height or perpendicular now.

50² = 20² + Perpendicular²

Perpendicular² = 2500 - 400

Perpendicular² = 2100

Perpendicular = 45.83 feet

Hence, the ladder now reached to 45.83 feet height of the house.

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Answer:

Step-by-step explanation:

let do lcm of the three measures

LCM of 7,3,12 m = 84

therefore,84 is the longest which can be used to measure 7,3,12 m exactly

To practice adding mixed numbers with like denominators, you can use worksheets that include problems with varying variables.

Adding mixed numbers with like denominators. Since you mentioned worksheets, I'll explain the process step-by-step, and you can apply these steps to any worksheet problems you have.

Step 1: Identify the mixed numbers and their like denominators.
In a given problem, you'll be given mixed numbers (a whole number and a fraction combined) with like denominators (same number in the denominator).

Example: 2 1/4 + 3 3/4 (Both fractions have the denominator 4)

Step 2: Add the whole numbers.
Add the whole numbers of the mixed numbers together.

Example: 2 + 3 = 5

Step 3: Add the fractions with like denominators.
Add the numerators (top numbers) of the fractions and keep the denominators the same.

Example: 1/4 + 3/4 = (1+3)/4 = 4/4

Step 4: Simplify the fraction, if needed.
If the fraction is improper (numerator is equal to or greater than the denominator), simplify it to a mixed number.

Example: 4/4 = 1

Step 5: Combine the whole numbers and simplified fractions.
Add the whole numbers from Step 2 and the simplified fraction from Step 4.

Example: 5 (whole number) + 1 (simplified fraction) = 6

Final Answer: 2 1/4 + 3 3/4 = 6

Now, you can apply these steps to any problem in your adding mixed numbers with like denominators worksheets. Good luck!

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Answer: C . 147π / 4 mi²

Concept:

The sector is the part of a circle is enclosed by two radii of a circle and their intercepted arc.

A = (θ / 360) πr²

θ = angle of the sector

π = constant

r = radius

Solve:

Given variable

θ = 270°

r = 7 mi

Given formula

A = (θ / 360) πr²

Substitute values into the formula

A = (270 / 360) π (7)²

Simplify exponents

A = (270 / 360) π 49

Simplify by multiplication

A = (147 / 4) π

A = 147π / 4

Hope this helps!! :)

Please let me know if you have any questions

Answer:

C

Step-by-step explanation:

a mixed fraction consists of a whole number and a proper fraction

a

\(\frac{29}{15}\) = 1 \(\frac{14}{15}\) ← a mixed number

b

\(\frac{35}{12}\) = 2 \(\frac{11}{12}\) ← a mixed number

c

\(\frac{12}{13}\) ← cannot be expressed as a mixed number

The predicted number of sit-ups a person who watches 15 hours of TV can do is approximately 36.

To predict the number of sit-ups a person who watches 15 hours of TV can do, we need to use the regression equation:

ŷ = ax + b,

where ŷ is the predicted value of the dependent variable (number of sit-ups), x is the value of the independent variable (hours of TV watched), a is the slope coefficient, and b is the intercept.

From the given information, the regression equation is ŷ = -0.621x + 35.397. We substitute x = 15 into the equation:

ŷ = -0.621(15) + 35.397

  = -9.315 + 35.397

  = 26.082

Rounding to the nearest whole number, the predicted number of sit-ups is approximately 26.

Therefore, based on the regression model, a person who watches 15 hours of TV per day is predicted to be able to do approximately 26 sit-ups.

(Note: It's important to note that regression models are statistical models and predictions are based on the relationship observed in the data used for the regression analysis. The prediction may not be accurate for individuals outside the range of the observed data or for factors not considered in the model.)

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Answer:

16^15

Step-by-step explanation:

16 is 2^4

So 2^60 = (2^4)^x power

2^60=2^4x

exponents of same bases are equal

60=4x

15=x

remember, (2^4) is still 16

lets convert it back to 16

2^60=16^x

and we know x is 15

2^60 = 16^15

Answer:

−  

7

36

≈negative 0.194−0.194

Step-by-step explanation:

Step 1 of 2: Subtract.

Subtract

(negative 3 over 4 −  

3

4

) − (negative 5 over 9 −  

5

9

) = negative 7 over 36−  

7

36

Step 1 of 2: Subtract, sub-step a: Subtract a negative.

Subtract a negative

negative 3 over 4−  

3

4

− (negative 5 over 9 −  

5

9

) = negative 3 over 4−  

3

4

+ 5 over 9

5

9

Subtracting a negative is the same as adding a positive.

Step 1 of 2: Subtract, sub-step b: Find common denominator.

Find common denominator

negative 3 over 4−  

3

4

+ 5 over 9

5

9

= −( 3 × 9 ) over ( 4 × 9 )

3 × 9

4 × 9

+ ( 5 × 4 ) over ( 9 × 4 )

5 × 4

9 × 4

= negative 27 over 36−  

27

36

+ 20 over 36

20

36

36 is the least common multiple of denominators 4 and 9. Use it to convert to equivalent fractions with this common denominator.

Step 1 of 2: Subtract, sub-step c: Add.

Add

negative 27 over 36−  

27

36

+ 20 over 36

20

36

= ( negative 27−27 + 20 ) over 36

negative 27−27 + 20

36

= negative 7 over 36−  

7

36

Answer: Y= -3

Step-by-step explanation:

4(y+1)=-8

First you need to distribute the 4:

4(y+1)=-8  

4y+4=-8

Next you need to subtract 4 from both sides:

4y+4 =-8

4y+4-4=-8-4

Simplify:

4y=-8-4

4y=-12

Then Divide both sides by the same factor:

4y=-12

4y÷4 =-12÷4

Simplify:

4y÷4 =-12÷4

y=-12÷4

y=-3

Your Answer:

Y=-3

You're looking for "parabola" like shapes in which the lowest point has a y coordinate of y = 0. In this case, it would be the "parabola" portion on the right that has its lowest point at (3,0). The only interval that fits is \(2 \le x \le 4\) which in interval notation is written as [2,4]. So this fits with choice D.

Answer: The answer to this expression is -10x

Step-by-step explanation:

We distribute -2x t the equation inside of the parenthaseis

\(-2 x (10 + (-5))\)

\(-2x*10=-20x\)

\(-2x*-5=10x\)

\(-20x +10x=-10x\)

The distance is 11.2

In math, a graph can be defined as a pictorial representation or a diagram that represents data or values in an organized manner. The points on the graph often represent the relationship between two or more things.

Here, for instance, we can represent the data given below, the type and number of school supplies used by students in a class, on a graph. We begin by counting each supply and representing the data in particular colors in a systematic order in a table.

Given:

The coordinates of farthest point from the room is (10, 5)

So, the distance is

=√(10-0)²  + (5-0)²

=√100+ 25

=√125

=11.2

Hence, the distance is 11.2.

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Answer:

\(\boxed{\sf x=-15}\)

Step-by-step explanation:

\(\sf 10=x+25\)

\(\sf x+25=10\)

\(\boxed{\mathrm{Subtract\:}25\mathrm{\:from\:both\:sides}}\)

Answer:

x = -15

Step-by-step explanation:

Answer:

  305 miles

Step-by-step explanation:

You want to know how far Dylan travelled if he drove 50 mph for 3.5 hours and 65 mph for 2 hours.

Distance is the product of speed and time. The total distance Dylan travelled will be the sum of lengths of the legs of his trip.

  distance = speed · time

  total distance = speed1 · time1 + speed2 · time2

  = (50 mi/h)(3.5 h) +(65 mi/h)(2 h) = 305 mi

Dylan travelled a total of 305 miles.

A sample of college students was asked how much they spent monthly on cost. Approximate the standard deviation for the cost.To calculate the standard deviation for the given data, we first need to calculate the mean and deviations of each data point from the mean.

The given data can be arranged in a table as below. Monthly cost ($) Number of students Deviation from Mean Deviation squared ($) 5 1 -11.2 125.44 14 1 -2.2 4.84 20 1 3.8 14.44 24 1 7.8 60.84 9 1 -7.2 51.84 Total 5 256.4From the above table, the mean of the given data can be calculated as below.

The standard deviation for the given data is approximately 8.01.Most statistical analyses of survey data requires the analyst to explore and understand patterns and trends in the data. One of the most important measures of dispersion is the standard deviation. In the above question, a sample of college students was asked how much they spent monthly on cost and the question asks us to approximate the standard deviation for the cost. By calculating the mean, deviation and deviation squared for each data point and using the formula for calculating standard deviation, we can approximate the standard deviation for the given data to be 8.01.

In statistics, standard deviation is one of the most essential concepts that helps in determining how much data deviates from the mean. In other words, it shows the extent of variation or deviation of values from the mean. The standard deviation is the square root of the variance. It is measured in the same units as the data values and is used to represent the average degree to which each data value varies from the mean.

A sample of college students was asked how much they spent monthly on cost. The given data can be arranged in a table to calculate the mean, deviation, and deviation squared for each data point. The mean can be calculated as the sum of all the observations divided by the total number of observations. Deviation is the difference between each observation and the mean. Deviation squared is obtained by squaring the deviation for each observation. The standard deviation can be calculated using the formula, standard deviation is the square root of the average of the squared deviations. In the above question, the standard deviation for the given data is approximately 8.01.

The standard deviation is an important concept in statistics that measures how much the data deviates from the mean. In this question, the given data shows how much college students spend monthly on cost. The standard deviation can be calculated using the formula, and it is an important tool in analyzing data as it gives an idea of how widely the data is spread out. From the calculations above, we can approximate that the standard deviation for the given data is approximately 8.01.

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Answer:

6m x 5m

Step-by-step explanation:

P= 2(l+w)

there's probably a proper formula for this but i just looked at the factors of 30 and then added them to see which ones equaled half of 22 (that's 11)

factors of 30: 1, 30/ 2, 15/ 3, 10,/ 5,6

1+30/ 2+15/ 3+10 do NOT equal 11.

However, 5+6 = 11.

Check:

P= 2(l+w)

2(6+5)=P

30=P

30=30

Answer: x = 10

Explanation:

Line A is parallel to line B only when the corresponding angles 4x and 3x+10 are congruent

4x = 3x+10

4x-3x = 10

x = 10

The value of the vertex for the x-coordinate is less in column 1 as compared to the value of the vertex of x -the coordinate for column 2.

What are the coordinates and vertex of an equation?

When a graph crosses its symmetry axes, the vertex formula in mathematics may be used to get the vertex coordinate of a parabola. The vertex point is often represented by (h, k). We are aware that a parabola's conventional equation is y=a\(x^{2}\)+bx+c. The vertex in this case should be near the base of the U-shaped curve if the coefficient \(x^{2}\) is positive. The apex of the U-shaped curve should be at the top of the coefficient  \(x^{2}\) is negative.

In the given question, It is given:

The two equations are:

\(y=2x^{2}-4x+12\)

and,

\(y=4x^{2}+8x+3\)

We have to find the vertex of the x-coordinate.

So, for the equation: \(y=2x^{2}-4x+12\)

In Column 1:

\(\begin{aligned}y &=-2 x^2-4 x+12 \\&=-2\left(x^2+2 x-6\right) \\&=-2\left((x+1)^2-7\right)\end{aligned}\)

So, By comparing the equation, we can say that the x-coordinate of the vertex in the column is -1.

So, for the equation:\(y=4x^{2}+8x+3\)

In Column 2:

\(\begin{aligned}y &=x^2-4 x+3 \\&=(x-2)^2+(-1)\end{aligned}\)

So, By comparing the equation, we can say that the x-coordinate of the vertex in the column is 2.

So, Option b is correct.

Hence, The value of the vertex for the x-coordinate is less in column 1 as compared to the value of the vertex of x -coordinate for column 2.

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Answer:

No They Will Not Be The Same Amount Of Weeks.

Step-by-step explanation:

No They Will Not Be The Same ammount of week.

The Water Tank With 684 Gallons Will empty before the one that holds 912.

It will take the 684 171 weeks.

And the 912 about 130 weeks.

Answer:

76 weeks

Step-by-step explanation:

Let's write an equation for both tank. Let A be tank 1 and let B be tank 2.

So, Tank A already holds 684 galloons but is leaking at 4 galloons per week. In other words, after x weeks, the total amount of galloons Tank A holds is:

\(A=684-4x\)

Tank B holds 912 galloons but is leaking at 7 galloons per week. So, after x weeks, the amount of galloons Tank B holds is:

\(B=912-7x\)

To find out after how many weeks will the galloons in the two tanks be equivalent, set the two equations equal to each other and solve for x:

\(684-4x=912-7x\)

Add 7x to both sides. The right cancels:

\(684+3x=912\)

Subtract 684 from both sides:

\(3x=228\)

Divide both sides by 3:

\(x=76\)

So, the amount of water in the two tanks will be identical after 76 weeks.

Let's check, after 76 weeks, the amount of water left in Tank A is:

\(684-4(76)=380\)

And in Tank B:

\(912-7(76)=380\)

So, we're correct!

And we're done!

Harriet earns the same amount of money each day. The expression that represents Harriet's gross pay each day is 5h 8.

To determine Harriet's gross pay each day, we need to divide the total gross pay at the end of 7 workdays (35h 56 dollars) by the number of workdays (7). This will give us the amount of money she earns per day.

Dividing 35h 56 dollars by 7, we get 5h 8 dollars. Therefore, the expression that represents Harriet's gross pay each day is 5h 8. This means that Harriet earns 5 dollars and 8 cents each day of work.

It's important to note that the other expressions mentioned (8h 5, 7h 11, and 2h 7) are not correct representations of Harriet's gross pay each day. The correct expression is 5h 8, which indicates a consistent daily earning amount for Harriet.

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Answer:

21 deg

Step-by-step explanation:

3x + 5x - 2 + 18x = 180 deg (sum angles of triangle)

26x = 182 deg

x = 7 deg

angle D = 3x = 3 x 7 = 21 deg

Answer:

D. An equilateral triangle.

Step-by-step explanation:

\(.\)

• For isosceles triangle » only two sides are equal.

• For scalene triangle » no line is equal to each other

• For right angled triangles » atmost two lines are equal

Answer:

D. Equilateral triangle

Step-by-step explanation:

Coz its all sides are equal and suppose if its length is 2 cm , then all sides will be 2 cm only so its equal

Answer:

6 chicken sandwiches to 4 veggie sandwiches

Step-by-step explanation:

edge 2020

Answer:

To give someone brainliest you need two people to answer your question

$1.73 tip

Step-by-step explanation:

if you multiply 11.50 by 15% you get 1.73

$13.23

and i dont know either