Rewrite: \(15\frac{1}{6}\)% as a decimal. Round to the nearest thousandths.

Answer:

\(y=\frac{47}{14}\)

Step-by-step explanation:

Given

\(-10\left(-\frac{1}{2}\right)+\left(-\frac{7}{2}\right)+7y=25\)

Required

Solve for y

\(-10\left(-\frac{1}{2}\right)+\left(-\frac{7}{2}\right)+7y=25\)

Open brackets

\(\frac{10}{2}-\frac{7}{2}+7y=25\)

Collect Like Terms

\(7y=25 -\frac{10}{2}+\frac{7}{2}\)

Take L.C.M

\(7y=\frac{50-10+7}{2}\)

\(7y=\frac{47}{2}\)

Divide both sides by 7

\(y=\frac{47}{2*7}\)

\(y=\frac{47}{14}\)

Answer:

67 + 38(mod5)

= 67 + 38 =105÷5 (mod5)

= 21 reminder 0 ( mod 5)

Since while handling modes or finites the reminder is always considered therefore;

67 + 38 = 0 ( mod 5)

Answer:

Inverse for a number x, denoted by 1/x or x⁻¹.

f(x) = x+3/ x-2

Step-by-step explanation:

f(x)-1 = x-2 /x+3

The shortest route from Ellport to Union Falls using road is 18 miles

An equation is an expression that shows the relationship between numbers and variables.

Pythagoras theorem is used to determine the measure of the sides of a right angled triangle. It is given by:

(hypotenuse side)² = (adjacent side)² + (opposite side)²

The distance from Larksville to Smithfield = 9 + 9 + 6 = 24 miles

The distance from Larksville to Union Falls = 19.5 + 6.5 = 26 miles

Let x represent the distance from Smithfield to Union falls, using Pythaoras:

26² = 24² + x²

x² = 100

x =  10 miles

the distance from Smithfield to Union falls is 10 miles.

Let y be the shortest route from Ellport to Union Falls, using Pythagoras:

y² = 10² + (9 + 6)²

y² = 10² + 15²

y² = 325

y = 18 miles

The distance from Ellport to Union Falls is 18 miles

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Answer:

y = 3x - 5

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

y = 3x + 9 ← is in slope- intercept form

with slope m = 3

Parallel lines have equal slopes, then

y = 3x + c ← is the partial equation

To find c substitute (2, 1) into the partial equation

1 = 6 + c ⇒ c = 1 - 6 = - 5

y = 3x - 5 ← equation of parallel line

The solution of the equation 3 (x - 2) - 4 (x + 1) = -22 is,

⇒ x = 12

What is linear expression?

A linear expression is an algebraic statement where each term is either a constant or a variable raised to the first power.

We have to given the function is,

3 (x - 2) - 4 (x + 1) = -22

Now, We can solve the expression as,

3 (x - 2) - 4 (x + 1) = -22

Use Multiplicative property;

3x - 6 - 4x - 4 = -22

Use addition and subtraction property,

- x - 10 = - 22

Use addition property and Add 22 both sides;

- x - 10 + 22 = - 22 + 22

- x + 12 = 0

Use subtraction property, Subtract 12 both sides;

- x + 12 - 12 = 0 - 12

- x = - 12

Multiply by -1 in both sides,

x = 12

Therefore, The solution of the equation 3 (x - 2) - 4 (x + 1) = -22 is,

⇒ x = 12

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The length and breadth of the given rectangle is 17 cm and 8 cm, respectively.

Let's suppose the breadth of the given rectangle is 'b' cm.

So, the length of the rectangle will be '(b+9)'.

According to the problem, if we increase the length and breadth by 3 cm each, then the area of the new rectangle will be 84 sq cm more than the given rectangle.

Area of the given rectangle = lb = (b+9)b = b²+9b

Area of the new rectangle = (l+3)(b+3)

Area of new rectangle = lb + 3l + 3b + 9 [Since lb = area of the given rectangle]

Area of new rectangle = (b²+9b) + 3(b+9) + 3b + 9

Area of new rectangle = b² + 15b + 36

Let's consider the difference in area of the new rectangle and the given rectangle:

84 sq cm = (b²+15b+36) - (b²+9b)84 sq cm = 6b+3684 sq cm - 36 = 6b84 sq cm - 36 = 6b48 = 6bb = 8 cm

Therefore, the length of the rectangle will be '8+9=17 cm'.

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184 people

groups of 13

How many vans needed to take the people to the hotel.

\( \frac{184}{13} \)

\( = 14.1538461538\)

\(nearest \: whole \: number = 14\)

therefore, they'll need 14 vans to take the people to the hotel.

answer= option B

Answer:

92

Step-by-step explanation:

6 x 8 = 48  

48 + 136 = 184

184 / 2 = 92

The area A of a trapezoid is the height h times the average of the parallel bases a and b.  

A = (1/2)(a + b)h

Solving for a,

2A = (a+b)h

2A/h = a+b

a = 2A/h - b

We have A=59.64, b=4, h=8.4

a = 2(59.64)/8.4 - 4

a = 10.2 yards

Answer: 10.2

Answer:

10 hours to readm240

Step-by-step explanation:

Answer:

10 hours.

Step-by-step explanation:

If you divide 96 by 4, you get 24. Then divide 240 by 24, and you get 10.

The limit definition of a derivative is a mathematical method used to calculate the instant rate of change of a characteristic at a particular point. it is based at the idea of the limit of a function because the input techniques a certain cost.

The limit definition of a derivative is expressed as follows:

\(f'(x) = lim (h → 0) [f(x + h) - f(x)] /h\)

Wherein f'(x) represents the derivative of the function f(x) at a particular factor x. The expression \(( f(x + h) - f(x)) / h\) represents the common price of alternate of the characteristic over a small interval of size h, focused at x. The limit of this expression as h approaches 0 represents the instant fee of change of the characteristic at x, or the slope of the tangent line to the function at that factor.

The limit definition of a derivative is a fundamental concept in calculus and is used to calculate the slopes of tangent lines, to find maximum and minimum factors, and to clear up optimization issues in a huge variety of packages.

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The values of exponent 5, √15, 2 and ∛2.

There are various exponential laws. Numerous mathematical problems involving repeated multiplication operations can be solved using all of the exponent rules. The operations of multiplication and division are made simpler and easier to solve by the laws of exponents.

Given,

The important laws of exponents are given below:

xᵃ ₓ xᵇ = x ᵃ⁺ ᵇ

xᵃ/xᵇ = x ᵃ⁻ ᵇ

(xᵃ)ᵇ = x ᵃᵇ

a⁻ⁿ = 1/aⁿ

a⁽¹/ⁿ⁾ = \(\sqrt[n]{a}\)

1: \(25^{\frac{1}{2} }\)

25 = 5 x 5 = 5²

\(( 5^{2}) ^{\frac{1}{2} }\) = 5 using formula (xᵃ)ᵇ = x ᵃᵇ

2: \(15^{\frac{1}{2} }\)

= \(\sqrt{15}\) using a⁽¹/ⁿ⁾ = \(\sqrt[n]{a}\)

3: \(8^{\frac{1}{3} }\)

8 = 2 x 2 x2 = 2³

\(( 2^{3}) ^{\frac{1}{3} }\) =  2 using formula (xᵃ)ᵇ = x ᵃᵇ

4: \(2^{\frac{1}{3} }\)

= ∛2 using a⁽¹/ⁿ⁾ = \(\sqrt[n]{a}\).

Hence values are 5, √15, 2 and ∛2.

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Answer:

A: 2t+4

Step-by-step explanation:

Two samples can have the same mean but different standard deviations if one sample has more variability than the other. For example, one sample may have data points that are tightly clustered around the mean, while the other sample may have data points that are more spread out.

This can result in the same mean value for both samples, but different levels of variability.

Here's an example bar graph to illustrate this concept:

     Sample 1                Sample 2

 ╭────────────────╮   ╭────────────────╮

 │      Mean      │   │      Mean      │

 ├────────────────┤   ├────────────────┤

 │                │   │    ╭─╮         │

 │                │   │    │ │         │

 │                │   │    │ │         │

 │                │   │    ╰─╯         │

 │     o o o      │   │  o o o o o o  │

 │                │   │                │

 │                │   │                │

 │                │   │                │

 ╰────────────────╯   ╰────────────────╯

     Std. Dev.            Std. Dev.

In this example, both Sample 1 and Sample 2 have a mean value of 5. However, Sample 1 has lower variability with a standard deviation of 1, while Sample 2 has higher variability with a standard deviation of 3. The error bars on the graph represent the standard deviation for each sample.

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Answer: 4

Step-by-step explanation:

Answer:

1= 33

2= 90

3= 57

Step-by-step explanation:

the agle thats 57° is alternate interior to ∠3 so ∠3= 57

so 33+ 57= 90 ⇒ 180- 90= 90 ⇒ ∠2= 90

57+ 90= 147⇒ 180- 147= 33

Answer:

prt

Step-by-step explanation:

18000(1.035)=18639

Answer:

18639

Step-by-step explanation:

i may be wrong tho

The binary string 01001010001100 is the number  9496 in decimal format.

This is further explained below.

Generally, The decimals that have the same total number of places after the decimal point are referred to as similar decimals. Equivalent decimals are different representations of the same decimal number that have the same numerical value.

For instance, 3.42 and 6.05 are equivalent to decimals since each number has two positions for the decimal point.

As an example, 0.3 and 0.30 are both considered to be comparable decimals since they both represent the same number.

The supplied binary string has one at positions 3, 4, 8, 10, and 13. (when counted from 0 starting from the unit place).

If there are any zeros in the provided number, the results of those locations will also be zero.

In conclusion, binary string 01001010001100 will be the figure

2^3 + 2^4 + 2^8 +2^10 + 2^13= 9496

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The equation of line shown on the coordinate plane is,

⇒ y = - 1/4x

The equation of line in point-slope form passing through the points

(x₁ , y₁) and (x₂, y₂) with slope m is defined as;

⇒ y - y₁ = m (x - x₁)

Where, m = (y₂ - y₁) / (x₂ - x₁)

Given that;

Two points on the line are (0, 0) and (4, -1).

Now,

Since, The equation of line passes through the points (0, 0) and (4, -1).

So, We need to find the slope of the line.

Hence, Slope of the line is,

m = (y₂ - y₁) / (x₂ - x₁)

m = (- 1 - 0) / (4 - 0)

m = - 1 / 4

Thus, The equation of line with slope - 1/4 is,

⇒ y - 0 = - 1/4 (x - 0)

⇒ y = - 1/4x

Therefore, The equation of line passes through the points (0, 0) and

(4, -1) will be;

⇒ y = - 1/4x

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Answer:

Below

Step-by-step explanation:

6.5 x 10^-9   is the same as  65 x 10^-10    now you can add them together (since the exponents are the same ) to get

69.6 x 10 ^-10  which is   6.96 x 10^-9

Answer:

Andy : 13 years old and

Jamie: 36 years old

Step-by-step explanation:

Andy = x

Jamie = 3x - 3

In 5 years:

(X+5)+(3x-3+5) = 59

4x + 7 = 59

4x = 59 - 7

x = 52/4

x = 13

Answer:1260

Step-by-step explanation: photo of the graded question attached

A math class consists of 10 girls and 8 boys. The teacher wants to choose 2 girls and 2 boys to go on a trip. How many different groups could the teacher

choose?

x3060

073

5040

1260

Answer:

hope it helps...

Answer:

-2

Step-by-step explanation:

-6 ( x - 8) = 60

• divide -6 on both sides

-6 and -6 cancel out and 60 ÷ -6 = -10

• your new equation is now x - 8 = -10

• add 8 to both sides x - 8 = -10

+8. +8

• x = -2

The probability that both pedestrian crossings show red is 1/2 since there are only two possible outcomes (RR and GG) and only one of them has both crossings showing red.

Since the lights at each pedestrian crossing can either be red or green, there are a total of 2 * 2 = 4 possible outcomes for the two crossings.

However, since we know that the lights at both crossings showed the same color, we can eliminate two of these outcomes, leaving only RR and GG.

Therefore, the probability that both crossings show red is 1/2, since there are two equally likely outcomes (RR and GG) and only one of them results in both crossings showing red.

So the answer is 1/2 in its simplest form.

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The solution to the system of equations is x = 0.6364, y = -0.4545, and z = -2.0909.

To solve the system of equations using Cramer's Rule, we first need to find the determinant of the coefficient matrix and the determinants of the matrices obtained by replacing each column of the coefficient matrix with the constant terms.

The coefficient matrix is:

| 2 -3 1 |

| 5 4 1 |

| 2 -2 -1 |

The determinant of the coefficient matrix, denoted as D, is calculated as follows:

D = | 2 -3 1 |

| 5 4 1 |

| 2 -2 -1 |

= (2 * 4 * (-1)) + (-3 * 1 * 2) + (1 * 5 * 2) - (1 * 4 * 2) - (5 * (-2) * (-1)) - (2 * (-3) * (-2))

= -8 + 6 + 10 - 8 + 10 + 12

= 22

Now, we calculate the determinants of the matrices obtained by replacing each column with the constant terms:

Dx = | 0 -3 1 |

| 10 4 1 |

| -1 -2 -1 |

= (0 * 4 * (-1)) + (-3 * 1 * (-1)) + (1 * 10 * (-2)) - (1 * 4 * (-2)) - (10 * (-2) * (-1)) - (-1 * (-3) * (-1))

= 0 + 3 - 20 + 8 + 20 + 3

= 14

Dy = | 2 0 1 |

| 5 10 1 |

| 2 -1 -1 |

= (2 * 10 * (-1)) + (0 * 1 * 2) + (1 * 5 * (-1)) - (1 * 10 * (-1)) - (5 * (-1) * (-1)) - (2 * 0 * (-1))

= -20 + 0 - 5 + 10 + 5 + 0

= -10

Dz = | 2 -3 0 |

| 5 4 10 |

| 2 -2 -1 |

= (2 * 4 * (-1)) + (-3 * 10 * 2) + (0 * 5 * 2) - (0 * 4 * 2) - (5 * (-2) * (-1)) - (2 * (-3) * (-2))

= -8 - 60 + 0 - 0 + 10 + 12

= -46

Finally, we can find the values of x, y, and z using Cramer's Rule:

x = Dx / D = 14 / 22 = 0.6364

y = Dy / D = -10 / 22 = -0.4545

z = Dz / D = -46 / 22 = -2.0909

Therefore, the solution to the system of equations is x = 0.6364, y = -0.4545, and z = -2.0909.

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Answer:

Solution on screen

Step-by-step explanation:

Don't worry it's okay