Below there are graphs of some inverse proportions. What function each one represent? ​

Answer:

V = -0.5

Step-by-step explanation:

Step 1: Define

V = u + at

u = 2

a = -5

t = 0.5

Step 2: Substitute and Evaluate

V = 2 + (-5)(0.5)

V = 2 - 2.5

V = -0.5

Answer:

12.5

Step-by-step explanation:

Case 1: a = 0; b = 0 --> Real Number

Case 2: a = 0; b ≠ 0 --> Non-Real Complex Number

Case 3: a ≠ 0; b = 0 --> Real Number

Case 4: a ≠ 0; b ≠ 0 --> Non-Real Complex Number

For each case, we can determine whether the expression a + bi represents a real number or a non-real complex number based on the values of a and b.

Case 1: a = 0; b = 0

In this case, both a and b are zero. The expression a + bi simplifies to 0 + 0i, which is equal to 0. Therefore, the expression represents a real number.

Case 2: a = 0; b ≠ 0

Here, a is zero, but b is nonzero. The expression a + bi becomes 0 + bi, where b is a nonzero real number multiplied by the imaginary unit i. Since the expression contains a nonzero imaginary part, it represents a non-real complex number.

Case 3: a ≠ 0; b = 0

In this case, a is nonzero, but b is zero. The expression a + bi simplifies to a + 0i, which is equal to a. As there is no imaginary part in the expression, it represents a real number.

Case 4: a ≠ 0; b ≠ 0

Here, both a and b are nonzero. The expression a + bi contains both a real part (a) and an imaginary part (bi). Thus, it represents a non-real complex number.

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Answer: 180 gallons needed

Step-by-step explanation:

Zykeith,

Assume x gallons of 50% antifreeze is needed

Final mixture is x + 60 gallons

Amount of antifreeze in mixture is 0.4*(x+60)

Amount of antifreeze added is .5x + .1*60 = .5x + 6

so .5x + 6 = .4(x + 60)

.5x -.4x = 24 -6

.1x = 18

x = 180

Let x be the number of gallons of the 50% antifreeze solution needed. We know that the resulting mixture will be 70 + x gallons. To get a 40% antifreeze mixture, we can set up the following equation:

\({\implies 0.5x + 0.1(70) = 0.4(70 + x)}\)

Simplifying the equation:

\(\qquad\implies 0.5x + 7 = 28 + 0.4x\)

\(\qquad\quad\implies 0.1x = 21\)

\(\qquad\qquad\implies \bold{x = 210}\)

\(\therefore\) We need 210 gallons of the 50% antifreeze solution to mix with 70 gallons of 10% antifreeze to get a mixture that is 40% antifreeze.

\(\blue{\overline{\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad}}\)

Answer:

answer is in the picture above

We can use the formula for the monthly payment of a loan to calculate the amount we need to pay each month:

M = (P * r * (1+r)^n) / ((1+r)^n - 1)

Where:

M = the monthly payment

P = the principal (the amount borrowed)

r = the monthly interest rate (which is the annual interest rate divided by 12)

n = the total number of months in the loan term (which is the number of years multiplied by 12)

Plugging in the given values, we get:

P = $3825

r = 15% / 12 = 0.0125

n = 4 years * 12 = 48 months

M = ($3825 * 0.0125 * (1+0.0125)^48) / ((1+0.0125)^48 - 1)

M ≈ $94.87

Therefore, the monthly payment will be approximately $94.87.

If the value of sin x = 0.2, then the values for sin(π - x) is 0.2.

Given that,

the value of sin x = 0.2

We have to find the value of sin(π - x).

We know the trigonometric rule that,

sin(π - x) = sin (x)

for any value of x.

So here whatever the value of x, the value of  sin(π - x) is sin (x) itself.

So here sin x = 0.2.

So, by the rule,

sin(π - x) = sin (x) = 0.2

Hence the value is 0.2.

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The value of m that satisfies the equation -3 + m = 9 is m = 12.

To solve the equation -3 + m = 9, we can isolate the variable m by moving the constant term -3 to the other side of the equation.

-3 + m = 9

To move -3 to the other side, we can add 3 to both sides of the equation:

-3 + 3 + m = 9 + 3

Simplifying, we have:

m = 12

Therefore, the value of m that satisfies the equation -3 + m = 9 is m = 12.

None of the provided answer options (A, B, C, D) match the correct solution.

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Step-by-step explanation:

Concepto    20 pies, 20´ × 8´ × 8´6" 40 pies High Cube, 40´ × 8´ × 9´ 6"

Ancho  2352 mm / 7´9" 2352 mm / 7´9"

Altura 2393 mm / 7´10" 2698 mm / 8´10"

Capacidad 33,2 m³ / 1172 ft³ 76, m³ / 2700 ft³

ESPERO QUE TE AYUDE :D

If the motor shaft rotated at 900 rpm, the speed of the larger gear will be 100 rpm.

It is described as the comparison of two quantities to determine how many times one obtains the other. The proportion can be expressed as a fraction or as a sign: between two integers.

it is given that, A 35-tooth gear on a motor shaft drives a larger gear having 63 teeth and the motor shaft rotated at 900 rpm.

The number of teeth on the smaller gear,n₂ = 35

The number of teeth on the larger gear,n₁ = 63

The gear ratio is obtained as,

n₁/n₂=63/35

n₁/n₂=9:5

If the motor shaft rotated at 900 rpm, The speed of the larger gear is,

=900 rpm / 9

=100 rpm

Thus, if the motor shaft rotated at 900 rpm, the speed of the larger gear will be 100 rpm.

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Answer:
\(3x-2+\frac{5}{x}\)

Step-by-step explanation:

To divide the polynomial (9x^3 - 6x^2 + 15x) by the monomial 3x^2, we can write it as:

(9x^3 - 6x^2 + 15x) ÷ (3x^2)

To simplify the division, we divide each term of the polynomial by 3x^2:

(9x^3 ÷ 3x^2) - (6x^2 ÷ 3x^2) + (15x ÷ 3x^2)

To divide monomials with the same base, we subtract the exponents. So:

9x^3 ÷ 3x^2 = 9/3 * (x^3/x^2) = 3x^(3-2) = 3x

(-6x^2) ÷ (3x^2) = -6/3 * (x^2/x^2) = -2

15x ÷ 3x^2 = 15/3 * (x/x^2) = 5/x

Putting it all together, we have:

(9x^3 - 6x^2 + 15x) ÷ (3x^2) = 3x - 2 + 5/x

Therefore, the division of (9x^3 - 6x^2 + 15x) by 3x^2 is 3x - 2 + 5/x.

Answer:

4√73

Step-by-step explanation:

x^2= 12^2 + 32^2

x^2= 144+ 1024

x^2=1168

x= 4√73

Given

average annual total returns for 9 mutual funds.

-9, 23, 12, 4, 11, 5, 36, 7, 31

Find

a) Mean

b) Median

c) Mode

Explanation

a) Mean = sum of observations/ total number of observation

so ,

to find median , we need to arrange in ascending order :

-9 , 4 , 5 , 7 , 11 , 12 , 23 , 31 , 37

there are 9 entries which is an odd number

so , median = (n+1/2)th term

so , median = 11

there is no mode because no term is repeating.

Final Answer

Hence ,

mean = 13.3

median = 11

mode - zero mode

Answer:

BED =57°

Step-by-step explanation:

angle at circumference standing on the same arc

Answer:

38

Step-by-step explanation:

perimeter = 2(l+b)

Where l is the length of the rectangle

b is the breadth of the rectangle

P = 2(15+4)

P = 2 × 19

P = 38

Answer:

the slopes are different, and the y-intercepts are also different

Step-by-step explanation:

We can rewrite the equations given in slope-intercept to easily determine the slope (m) and the y-intercept (b). Slope-intercept equation is y = mx + b

Let's rewrite each equation:

✔️5x + 2y = 2

Subtract 5x from each side

2y = -5x + 2

Divide both sides by 2

y = -5x/2 + 2/2

y = -⁵/2(x) + 1

The slope (m) = -⁵/2

y-intercept (b) = 1

✔️3x - 3y = 18

Subtract 3x from each side

-3y = -3x + 18

Divide both sides by -3

y = -3x/-3 + 18/-3

y = x - 6

Slope (m) = 1

y-intercept (b) = -6

✅Therefore, the slopes are different and the y-intercepts are also different

Answer:

b

Step-by-step explanation:

Answer:

4x - 3 - 2x + 5 = 6 - 3x + 2 + 5x

2x + 2 = 2x + 8

2 ≠ 8, so this equation has no solutions.

Answer:

No solution

Step-by-step explanation:

Given:

\(4x-3-2x+5=6-3x+2+5x\)

rearrange terms so like terms are together

\(4x-2x-3+5=6+2-3x+5x\)

combine like terms

\(2x+2=8+2x\)

subtract 2x to both sides

\(2\neq 8\)

2 doesn't equal 8, meaning that there are 0 solutions to this problem.

Hope this helps! :)

Answer:

b should be 4.

Step-by-step explanation:

Put the numbers shown in the problem (10, 5, 8) and b into an equation.

10/5 = 8/b

Multiply both sides by b

10/5b = 8

2b = 8

b = 4

b should be 4 in this case.

In Romanian:

Puneți numerele prezentate în problemă (10, 5, 8) și b într-o ecuație.

10/5 = 8 / b

Înmulțiți ambele părți cu b

10 / 5b = 8

2b = 8

b = 4

b ar trebui să fie 4 în acest caz.

Answer:

y=6x-2.5

Step-by-step explanation:

It goes up by $6and if it is zero miles it is -2.5.

The height of the building will be 897.6 feet if the angle of elevation is 5 degree and distance is 2 miles.

The height, length of angle of elevation and the base of the triangle will form the right angled triangle. Thus, to find the height, we will use the formula -

tan theta = perpendicular ÷ base, where theta is the angle of elevation.

Now, keep the values in formula to find the height of the building.

height = tan 5 × 2

Keep the value of angle

height = 0.087 × 2

Performing multiplication on Right Hand Side of the equation

height = 0.17 mile

As per the known information, 1 mile = 5280 feet

So, 0.17 mile = 897.6 feet

Thus, the height of building is 897.6 feet.

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The population mean (μ) is: 74

The standard deviation (σ) is: 30.6

There is an outlier, 15.

Population mean (μ) = sum of data points / number of data points

Standard deviation (σ) = √(sum of squares/number of data points) = √(SS/n)

Given the data, 15, 75, 88, 92, 100:

Population mean (μ) = (15 + 75 + 88 + 92 + 100)/5 = 74

Standard deviation (σ) = √(4678/5)

σ = √935.6

σ = 30.6

15 is more smaller compared to most of the data points in the data, so, it is an outlier.

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A fraction is a way to describe a part of a whole. The fraction of the whole is each piece is 1/6.

A fraction is a way to describe a part of a whole. such as the fraction ¼ can be described as 0.25.

The number line between 0 and 1 is partitioned into 6 equal pieces. Therefore, a single unit will exist between 0 and 1, which will be divided into six equal parts. Therefore, each fraction will be 1/6 of the unit.

Hence, the fraction of the whole is each piece is 1/6.

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Answer:

B. Since Ax-b is consistent, its solution set is obtained by translating the solution set of Ax=0. So the solution set of Ax = b is a single vector if and only if the solution set of Ax= 0 is a single vector, and that happens if and only if Ax 0 has only the trivial solution.

Step-by-step explanation:

the answer to the question is answer B. and here is the explanation below

let us imagine that the equation ax = b has a solution

now our goal will be to show that the solution of ax =b when ax = 0 has only trivial solution.

ax = 0 is homogenous

if this equation was consistent for b, we define

ax = b to be a set of vector that has the form

w = m + gh(h is a subscript)

gh is a solution of ax = 0

from what we have above, ax=b is in the form ofw= m+gh

with

m = solution of ax=b

gh = soulution of ax=0

ax = 0 has only trivial solution

gh = 0

with gh = 0

ax=b is w=m

so ax = b is unique.

Christopher can work average 9 hours babysitting and 7 hours washing cars in a given week to meet the minimum wage requirement and not exceed the maximum hours he can work.

Christopher is working two summer jobs and has a maximum of 16 hours to work in a given week. He is making $7 per hour babysitting and $10 per hour washing cars. To meet the minimum wage requirement of $130, he needs to make a total of $130 in a week. We can represent this using a system of inequalities. The first inequality is 7xx + 10yy ≥ 130, which means that the total wages (7 times the hours babysitting plus 10 times the hours washing cars) must be greater than or equal to $130. The second inequality is xx + yy ≤ 16, which means that the total hours (babysitting plus washing cars) must be less than or equal to 16. Graphically, we can solve this system of inequalities to find the possible solutions. One possible solution is x = 9 and y = 7, meaning Christopher can work 9 hours babysitting and 7 hours washing cars in a given week to meet the minimum wage requirement and not exceed the maximum hours he can work.

Graphically:

7xx + 10yy ≥ 130

xx + yy ≤ 16

7xx + 10yy = 130

xx + yy = 16

Therefore, the solution is x = 9 and y = 7.

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