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Find the value of x.
30
2x
+110
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The horizontal distance covered by the romp is 5.9 feet.

convert feet to inches:

1 feet = 12 inches

Height of the romp = 1 feet

Length of the romp = 6 feet

Horizontal distance = x

The length, height and horizontal distance of the romp forms a right triangle.

So,

6² = 1² + x²

36 = 1 + x²

subtract 1 from both sides

36 - 1 = x²

35 = x²

Find the square root of both sides

√35 = √x²

5.9 = x

x = 5.9 feet

Hence, 5.9 feet is the horizontal distance of the romp.

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The probability is 0.6480.

The probability is 0.9629.

1. This can be computed using the standard normal distribution as follows:

z = (70 - 69.0) / 2.8 = 0.357

Using a standard normal table or calculator, we find that P(Z ≤ 0.357) ≈ 0.6480. Therefore, the probability that a male passenger can fit through the doorway without bending is approximately 0.6480.

2. = 2.8/√25 = 0.56 inches.

We want to find P(x < 70), which is the probability that the mean height of the 25 men is less than 70 inches. This can be standardized using the standard normal distribution as follows:

z = (70 - 69.0) / 0.56 = 1.79

Using a standard normal table or calculator, we find that P(Z < 1.79) ≈ 0.9629. Therefore, the probability that the mean height of the 25 men is less than 70 inches is approximately 0.9629.

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Answer:

50%

Step-by-step explanation:

Let \(x\) be equal to the decimal when multiplied by 2 equals 1

\(2x=1\)

Divide both sides by 2

\(\frac{2x}{2} =\frac{1}{2} \\x=0.5\)

Multiply the decimal by 100 to get a percent

0.5×100=50%

I hope this helps!

Answer:

Slope: -5 Y-intercept: 3

Step-by-step explanation:

the slope intercept of a linear equation is:

y=mx+b

were m is slope. and b is the y intercept

therfore the problem is:

y=-5x+3

m=-5 so the slope is -5

b=3 so the y-intrercept is 3

Answer:

-5

Step-by-step explanation:

The slope is always in front of the x

Answer:

1) \(\frac{6+\sqrt{6} }{2}\)       2) \(-3 + \sqrt{12}\)

Step-by-step explanation:

Please ignore the squiggle in the middle of the page.

Please mark brainliest when you’re able :)  

Answer:

1) ( 6+\(\sqrt{6}\) ) / 2                 2) 2 \(\sqrt{3}\) - 3

Step-by-step explanation:

I got the same thing as the other person, but typing it out would take forever just to give you the same result.

You do use a technique called rationalizing a denominator to eliminate the radical. The point of rationalizing a denominator is to make it easier to understand what the quantity really is by removing radicals from the denominators.

1) ( 6+\(\sqrt{6}\) ) / 2

2) I got the same answer but I put in 1 more step. It looks like the person caught it though.

From the -3 + \(\sqrt{12}\)    

-3 + \(\sqrt{4} \sqrt{3}\)

-3 + 2 \(\sqrt{3}\)     Rearrange

2 \(\sqrt{3}\) - 3

Answer:

4 mi²

Step-by-step explanation:

Area of Square: Length x Length

=> Area of Square: 2 x 2

=> Area of Square: 4 mi²

Therefore, the area of the square is 4 mi².

Hoped this helped

Answer:

C) 12%

Step-by-step explanation:

Answer: The answer is B.

Step-by-step explanation:

Add all of the students who chose English together and u get 24 and 12 is 50% of 24

Answer:

ab - ac + db - dc

Step-by-step explanation:

you distribute the variables inside the parenthesis

9514 1404 393

Answer:

  9

Step-by-step explanation:

As you know, 4 is between 3 and 10, so the middle definition applies.

  f(4) = 4² -7 = 16 -7

  f(4) = 9

Answer:

Lines  C and D

Step-by-step explanation:

For a pair of lines to be perpendicular ,

    the product of their slope must be - 1 .

Slope of A:

\(2x - 3y = 6\\\\-3y = -2x + 6\\\\y = \frac{-2x}{-3} + \frac{6}{-3}\\\\\)

\(y = \frac{2}{3}x - 2\\\\slope_A = \frac{2}{3}\)

Slope of B:

\(3x - 2y = - 9\\\\-2y = - 3x - 9\\\\y = \frac{-3x}{-2} - \frac{9}{-2}\\\\y =\frac{3x}{2} + \frac{9}{2}\\\\slope_B = \frac{3}{2}\)

Slope of C:

\(y = - \frac{3}{2}x - 5 \\\\slope_C = -\frac{3}{2}\)

Slope of D:

\(y = \frac{2}{3}x + 2\\\\slope_D = \frac{2}{3}\)

Product of the slopes = - 1

\(slope_A \times slope_B = \frac{2}{3} \times \frac{3}{2} = 1 \neq - 1 \\\\Therefore, not\ perpendicular.\\\\Slope_B \times slope_C = \frac{3}{2} \times \frac{-3}{2} = \frac{-9}{4} \neq -1\\\\Therefore , not \ perpendiucalr.\\\\Slope_C \times slope_D = -\frac{3}{2} \times \frac{2}{3} = - 1\\\\Therefore , perpendicular\\\\\\Slope_A \times slope_D = \frac{2}{3} \times \frac{2}{3} = \frac{4}{9} \neq 1\\\\therefore , not \ perpendicular.\)

Answer:

8

Step-by-step explanation:

Answer:

Explanation:

1.) 3.2 - 5.7 = -2.5

2.) 4.25 - (-2.3) = *double negative = positive* = +6.55

3.) -0.18-2 = -2.18 *2 negatives will add numbers, but the sign remains negative*

4.) -9 + 2.5 = -6.5 *since 9 is greater, we will use its sign, then subtract the two*

5.) (-9 + 5) +4 = -4 +4 = 0

3.2-5.7=C

4.25-(-2.3)=C

-0.18-2=C

-9+2.5=C

-9+5=4=B

Answer:

-I

Step-by-step explanation:

Average is determined by the sum of test scores divided by total number of tests. This can be represented in this equation:

95 + X / 2 = 92 ⇒ Multiply both sides by 2 to get of the divided by 2

95 + X /2 (2) = 92 (2)

95 + X = 184 ⇒ Subtract 95 from both sides to isolate x

95 -95 + X = 184 -95

X = 89

Therefore, they must get at least 89% to maintain an A.

Answer:

  4

Step-by-step explanation:

The minimum degree is the number of zeros* it has: 4.

_____

* The zeros given here are all real. If there were complex zeros, they, too, would be counted toward the minimum degree. If the polynomial is to have real coefficients (the usual case), then the complex zeros must be in conjugate pairs.

To eliminate the unknown variable a1 from the system of equations, we need to select two equations that can be combined in a way that eliminates a1 when the equations are subtracted or added. The specific choice of equations depends on the structure of the system and the coefficients of a1 in each equation.

To determine which equations can be used to eliminate a1, we need to examine the coefficients of a1 in each equation. If the coefficients are of equal magnitude but opposite signs, subtracting the equations will result in the elimination of a1. Conversely, if the coefficients have the same sign, adding the equations can eliminate a1.

Given the system of equations, eq.2, eq.3, and eq.4*, we should analyze the coefficients of a1 in these equations. By comparing the coefficients, we can determine which combination of equations can be used to eliminate a1. It is essential to select two equations where the coefficients of a1 have opposite signs or equal signs, depending on whether we are subtracting or adding the equations, respectively.

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Answer:

triangular prism

Step-by-step explanation:

A triangular prism has 3 rectangular sides and 2 triangles as the base

hope this works

Answer: of a pyramidal in shape form.

Step-by-step explanation:

The answer fam is............  A. Hundreds

The hundreds are the scale you would measure the number of minutes the father must ride his scooter before catching up to his daughter option (A) is correct.

It is defined as the change in values of a dependent variable with respect to the independent variables.

We have:

A young equestrian loved to ride her horse all day long, dreaming of the day she would ride in the Kentucky Derby.

She left home at 10:00 am and rode her stallion at a nice, steady 10 miles per hour away from her house

The rate = 10 miles/hour

Father's scooter rate = 15 miles/hour

Based on the data given the number of minutes the father must ride his scooter before catching up to his daughter should measure on a scale of hundreds.

Thus, the hundreds are the scale you would measure the number of minutes the father must ride his scooter before catching up to his daughter option (A) is correct.

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Answer:

The answer is 8x^6 - 27y^6

Step-by-step explanation:

For X   from -2  to   10   is + 12 units ...1/6th of this is 2

                              add this to -2   to get   x = 0

For Y  from 3 to 3   is  0       so y = 0

(0,0)

A book on the Nuer that provides a detailed account of their way of life based on firsthand observation is known as an ethnography and is based on fieldwork.

An ethnography is a form of qualitative research that involves firsthand observation and documentation of a particular culture or social group. It is a comprehensive study that aims to provide an in-depth understanding of the group's way of life, customs, beliefs, and practices. In the context of the Nuer, an ethnography would focus specifically on their culture, traditions, social structure, economic activities, religious beliefs, and other aspects that shape their way of life.

To produce an ethnography, the author typically engages in fieldwork, which involves immersing themselves in the culture and community being studied. This often includes living among the Nuer people, participating in their daily activities, conducting interviews, and observing their rituals and interactions. The firsthand experience and direct engagement with the Nuer community allow the author to gather detailed and accurate information to present a comprehensive account of their way of life in the book.

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The value of x in the given equation will be 2/5

From the data,

We have to determine the value of x.

The given equation is: 18x-16=-12x-4

For determining the value of x, we will first shift the like terms on one side of the equation.

So, for solving the value of x we will shift the terms containing x and the constant on both sides of the equation.

So, shifting -12x from the right-hand side of the equation to the left-hand side of the equation,

We will get it as:

18x+12x = -4+16

30x=12

Now for solving the value of x we will shift x from the left side of the equation to the right side of the equation.

So, the value of x will be = 12/30 = 2/5

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The correct question may be:

What is the value of x

18x-16=-12x-4

Enter your answer in the box.

Answer:

C

\(y=(5x+2)(x+3)\)

\(\implies x=-\dfrac25,\ \ x=-3\)

Step-by-step explanation:

Factor  \(y=5x^2+17x+6\)

Multiply the coefficient of \(x^2\) and the constant:  

⇒ 5 x 6 = 30

Find factors of 30 that add together to make the coefficient of \(x\):  

⇒ 2 and 15

Rewrite 17x as 15x + 2x:

\(\implies y=5x^2+15x+2x+6\)

Group:

\(\implies y=(5x^2+15x)+(2x+6)\)

Factor brackets:

\(\implies y=5x(x+3)+2(x+3)\)

Factor out common term \((x + 3)\):

\(\implies y=(5x+2)(x+3)\)

To find the zeroes, set y to zero and solve for x:

\(\implies (5x+2)(x+3)=0\)

\(\implies 5x+2=0 \ \ \textsf{and} \ \ x+3=0\)

\(\implies x=-\dfrac25,\ \ x=-3\)

ac is 5(6)=30

So the zeros are

Option C is correct

Answer:

Jada is going faster by 18 minutes.

Step-by-step explanation:

We already know how fast Jada's cousin is going, but we need to find how fast Jada is going.  To do this, we divide 12/2 which equals 6 minutes.  6 is less than 24, so Jada is going faster.

Then to find how much faster Jada is going, subtract 24 minutes - 6 minutes, which equals 18 minutes.

Answer:

3/8 < -31/3 < -7.7 < -7 < -6 < -3 < -8/3 < -2.5 < -1 < -1/4 < 0 < 9/8 < 2 < 3 < 5 < 8 < 10 < 11 < 15 < 22 < 23

Showing Work

Using the given inputs:

10 15 8 23 11 5 3 22 2 -1 -3 -7.7 -23 -22 3/8 -7 -8/3 -1/4 9/8 -31/3 -6 -2.5 0

Rewriting these inputs as decimals:

10 15 8 23 11 5 3 22 2 -1 -3 -7.7 -23 -22 3/8 -7 -8/3 -1/4 9/8 -31/3 -6 -2.5 0

10 15 8 23 11 5 3 22 2 -1 -3 -7.7 -23 -22.375 -7 -2.666667 -0.25 1.125 -10.333333 -6 -2.5 0

Sorting this table by decimal values in order from least to greatest:

-23   -22 3/8   -31/3   -7.7   -7   -6   -3   -8/3   -2.5   -1   -1/4   0   9/8   2   3   5   8   10   11   15   22   23

-23 < -22.375 < -10.333333 < -7.7 < -7 < -6 < -3 < -2.666667 < -2.5 < -1 < -0.25 < 0 < 1.125 < 2 < 3 < 5 < 8 < 10 < 11 < 15 < 22 < 23

Therefore, the sorted inputs in order from least to greatest is:

-23 < -22 3/8 < -31/3 < -7.7 < -7 < -6 < -3 < -8/3 < -2.5 < -1 < -1/4 < 0 < 9/8 < 2 < 3 < 5 < 8 < 10 < 11 < 15 < 22 < 23

Step-by-step explanation:

The amount that Ayaan will have in his tax-free savings account after 6 months of depositing $746 at 2.15% interest is $754.02.

The future value refers to the present value plus the interest.

The future value for this savings account can be computed using the simple interest system since there is no compounding of interest.

The initial deposit (present value) = $746

Interest rate = 2.15%

Savings period = 6 months

Future value = $754.02 ($746 + ($746 x 2.15% x 6/12)

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Answer:

B

Step-by-step explanation:

residual is the given - predicted

residual 1: -0.42

residual 2: 0.35

so on and so forth

B matches up with the first two coordinates

The residuals are 0.42, 0.35, -0.08, 0.79, and -0.65 because residuals are the difference between the actual and predicted.

A mathematical notion called the line of the best fit connects points spread throughout a graph. It's a type of linear regression that uses scatter data to figure out the best way to define the dots' relationship.

The residual = actual—predicted

We have given:

X         Given     Predicted     Residual value

1            0.7           0.28             0.42

2           2.3           1.95              0.35

3            4.1            4.18             -0.08

4           7.2           6.41              0.79

5            8             8.65            -0.65

Thus, the residuals are 0.42, 0.35, -0.08, 0.79, and -0.65 because residuals are the difference between the actual and predicted.

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