Mr. Ortiz is a driving instructor. Of his students, 23 have taken the driver's test and 17 of them have passed
on the first attempt. Mr. Ortiz earns a $300 bonus if 80% of his students pass the test on the first attempt.
How many consecutive students must pass on the first attempt in order for Mr. Ortiz to earn the bonus

Answer:

IIaI-IbII

Step-by-step explanation:

II-30I-I-5II=

I30-5I=

I25I=

25

II-5I-I-30II=

I5-30I=

I-25I=

25

Answer:

metal as shown. if the cube has sides of length 8 ft, What is the volume of cube after the hole is drilled?

Step-by-step explanation:

shown. if the cube

9514 1404 393

Answer:

  see attached

Step-by-step explanation:

Compare the equation to that of an ellipse with center (h, k) and axes of lengths 2a and 2b.

  ((x -h)/a)^2 +((y -k)/b)^2 = 1

We see that (h, k) = (4, 0) and a=2, b=3.

This tells us the center of the ellipse is (4, 0), the major axis is parallel to the y-axis, and the minor axis is parallel to the x-axis. The ellipse extends ±2 units from its center in the x-direction and ±3 units from its center in the y-direction.

Answer:

It is graph C on edge.

Step-by-step explanation:

Answer:

Step-by-step explanation:

The formula for the volume of a rectangular prism is V = lwh, where V is the volume, l is the length, w is the width, and h is the height.

We know that V = 5,890.625 cm^3, h = 14.5 cm, and l = 25 cm.

Substituting these values into the formula, we get:

5,890.625 = 25w(14.5)

5,890.625 = 362.5w

w = 16.25

Therefore, the width of the rectangular prism is 16.25 cm.

Answer:

It's A

Step-by-step explanation:
well all you have to do is divide like 5,890.625 dvided by 14.5 then divide again by 25 them bam you got 16.25

In linear equation, Each student, including Maggie, will receive 3 candy flowers to use for decorating their cupcakes.

What in mathematics is a linear equation?

An algebraic equation with simply a constant and a first-order (linear) term, such as y=mx+b, where m is the slope and b is the y-intercept, is known as a linear equation.

                            The variables in the preceding equation are y and x, and it is occasionally referred to as a "linear equation of two variables."

6 students * 3 candy flowers/student = 18 candy flowers.

This is 18 candy flowers / 6 students = 3 candy flowers/student.

Each student, including Maggie, will receive 3 candy flowers to use for decorating their cupcakes.

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(a) The sum of the series 1+2+3+4+...+392 is 77,028.

(b) The sum of the series 1+2+3+4...x is (x/2)(1 + x).

(c) The sum of the series 546 + 547 + 548 + 549 is 2,190.

To solve the exercise using Polya's four-step problem-solving strategy, we will apply the procedures presented in the lesson.

(a) For the series 1+2+3+4+...+392:

Using the arithmetic series formula Sn = (n/2)(a + l), where n is the number of terms, a is the first term, and l is the last term, we can substitute the values: Sn = (392/2)(1 + 392) = 196(393) = 77,028.

(b) For the series 1+2+3+4...x:

To find the sum of this series, we need to know the number of terms (n) based on the value of x. Since the series follows a consecutive pattern, the number of terms will be equal to x itself. Thus, the sum of the series would be Sn = (x/2)(1 + x).

(c) For the series 546 + 547 + 548 + 549:

Using the arithmetic series formula Sn = (n/2)(a + l), we can determine the number of terms (n) by subtracting 546 from 549 and then adding 1: n = 549 - 546 + 1 = 4. Substituting the values into the formula: Sn = (4/2)(546 + 549) = 2(1095) = 2,190.

The final answer for each part is:

(a) The sum of the series 1+2+3+4+...+392 is 77,028.

(b) The sum of the series 1+2+3+4...x is (x/2)(1 + x).

(c) The sum of the series 546 + 547 + 548 + 549 is 2,190.

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Tan (angle) = 1.793/1.742 ==> angle = Tan^-1(1.793/1.742) = 0.7998 radians

Arc lenght = radius * angle in radians = 2.5 * 0.7998 = 1.9995

Answers:

0.7998 radians (approx.0.8 radians)

1.9995 Km (approx/ 2 km)

Hey there! :)

Answer:

C. (0, -6).

Step-by-step explanation:

In slope-intercept form ( y = mx + b), the 'b' value represents the y-intercept.

In this instance:

y = 4x - 6

The 'b' value is equal to -6. This means that the y-intercept is at (0, -6).

-------------------------------------------------------------------------------------------

The y-intercept can also be solved for by substituting in 0 for x:

y = 4(0) - 6

y = 0 - 6

y = -6.

Answer:

C. (0, –6)

Step-by-step explanation:

y = 4x - 6

The equation is:

y = mx + b

where b is the y-intercept.

In this case, - 6 is the vertical intercept.

Do not confuse from (-6, 0) because that represents an x-intercept.

Answer:

76.7 miles

Step-by-step explanation:

Use the Pythagorean Theorem:

\(a^2+b^2=c^2\\\\61^2+d^2=98^2\\\\3721+d^2=9604\\\\d^2=5883\\\\d\approx76.7\)

Therefore, the distance from Huntsville to Gadsden is about 76.7 miles

Answer:

∠ BDC = 29°

Step-by-step explanation:

the sides of a rhombus are congruent, so CD = ED and Δ EDC is therefore isosceles with base angles congruent , then

∠ BCD = ∠ BED = 61°

• the diagonals are perpendicular bisectors of each other , then

∠ CBD = 90°

the sum of the 3 angles in Δ BCD = 180°

∠ BDC + ∠ CBD + ∠ BCD = 180°

∠ BDC + 90° + 61° = 180°

∠ BDC + 151° = 180° ( subtract 151° from both sides )

∠ BDC = 29°

The equation for the line through the point (-7,-4) and parallel to the line y = 8x - 4 in point-slope form is y = 8x + 52

The first equation is given as

y = 8x - 4

The slope of the above equation is

m = 8

Parallel lines have equal slope

So, the slope of the other line is

m = 8

The equation is then calculated as

y = m(x - x1) + y1

Where

m = 8

(x1, y1) = (-7, -4)

So, we have

y = 8(x + 7) - 4

Expand

y = 8x + 56 - 4

Evaluate the difference

y = 8x + 52

Hence, the equation for the line through the point (-7,-4) and parallel to the line y = 8x - 4 in point-slope form is y = 8x + 52

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Answer:

\(unit \: rate = \frac{distance}{time} \)

unit rate is similar to speed / velocity:

\(unit \: rate = \frac{ (\frac{1}{2} )}{ (\frac{1}{3})} \\ \\ = \frac{1}{2} \div \frac{1}{3} \\ \\ = \frac{1}{2} \times \frac{3}{1} \\ \\ = > { \boxed{ \boxed{unit \: rate = \frac{3}{2} \: miles \: per \: hour}}}\)

[unit rate must have units including per <time> ]

Sarah's fuel efficiency is approximately 32.91 miles per gallon.

From the question, we are to calculate Sarah's fuel efficiency.

To find Sarah's fuel efficiency in miles per gallon, we need to convert the distance she drove to miles and the amount of gasoline she used to gallons.

From the given information,

1 km = 0.6214 mi

1 gal = 3.8 L

First, let's convert the distance from kilometers to miles:

691.4 km × 0.6214 mi/km = 430.10196 mi

So, Sarah drove a distance of 430.1 miles.

Also,

Convert the amount of gasoline from liters to gallons:

49.7 L ÷ 3.8 L/gal = 13.0789 gal

So, Sarah used 13.0789 gallons of gasoline.

Calculate her fuel efficiency in miles per gallon:

Fuel efficiency = distance ÷ gasoline used

Fuel efficiency = 430.1 mi ÷ 13.0789 gal

Fuel efficiency = 32.9065 mi/gal

Hence, Sarah's fuel efficiency is 32.91 mi/gal

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Answer:

the answer is 57

Step-by-step explanation:

because you round to the nearest foot which it means that the answer good luck hope this helps

Answer:

x = 72 degrees

Step-by-step explanation:

By the Vertical Angles Theorem, the angle opposite the angle (let's call it angle z, the red text in the image I sent) with 108 degrees is also equal to 108 degrees.

By the Linear Pair Theorem, angle z degrees + angle x degrees = 180 degrees.

108 + x = 180, x = 72 degrees

Answer:

the first green one. yes

Step-by-step explanation:

it looks the clostest to yours

NIMS incident command and coordination is based on fourteen NIMS Management Characteristics.

On fourteen NIMS Management Characteristics, NIMS bases incident command and coordination. The National Incident Management System's fourteen traits serve as pillars, enhancing its durability and effectiveness.

The ICS organizational design is adaptable. To improve internal organizational administration and coordination with the outside world, distinct functional elements can be formed and split as needed.

In all, NIMS integration is supported by 14 implementation objectives. NIMS is adaptable and suitable for all kinds of schools, school systems, and educational organizations, just as it applies to all kinds of emergency occurrences.

The following 14 NIMS management traits, each of which adds to the overall system's strength and effectiveness, form the foundation of the Incident Command System (ICS): Typical Language.

Therefore, the correct answer is option C. 14.

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Answer:

54

Step-by-step explanation:

9 = 3 x 3

6 = 3 x 2

9 x 6

= 3 x 3 x 3 x 2

= 54

Answer:

54

Step-by-step explanation:

9+9+9+9+9+9 = 54

Hope that helps. Can i have the brainliest :)

Answer:

Hope it helps!!

Answer:

\(a < 0\)   False

\(|a| > 0\) True

\(|a|=0\)  False

________________________________________________

a is on the right side of 0,

which means a is positive.

The absolute value is the distance to zero (always positive)

Which means the absolute value of a is also positive.

\(a < 0\)   is wrong because a is positive

\(|a| > 0\)  is correct because a is larger than 0

\(|a|=0\)  is wrong because \(a\) ≠ \(0\)

________________________________________________

Hope this helps :)

Answer:

68 degrees.

Step-by-step explanation:

Angle A is congruent to C, or they are the same. Angles B and D would also be congruent because they are facing each other.

Answer: Brainlest would be much appreciated

(A= amount P=principal r= interest rate n= number of times interest is compounded per unit 't' nt=time)

n=4. I'm not sure tho!!

Answer:

-5.6

Step-by-step explanation:

Here you go! :)

Answer:

-28/5, or 5 3/5 (5.6 as a decimal)

Step-by-step explanation:

-4 - 8/5 (or -4 - 1 3/5)

Finding the LCD (Lowest Common Denominator):

-4*5/1*5 - 8/5

-20/5 - 8/5 =

-28/5, or 5 3/5 (5.6 as a decimal)

It makes more sense to use a relatively small significance level (such as α=0.01) in this situation. The reason is, the consequences of falsely accusing a well-known company of lying in their advertising could be significant, and filing a lawsuit is a serious action.

Therefore, it is important to have a high level of confidence in the evidence before taking such a step. A small significance level would ensure that the evidence gathered is statistically significant, reducing the likelihood of making a false accusation. On the other hand, a relatively large significance level (such as α=0.10) would increase the chances of a Type I error, which is the incorrect rejection of a true null hypothesis, potentially leading to false accusations and legal repercussions.

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Answer:

87% decrease (rounded to nearest whole percent)  

Step-by-step explanation:

Change = 360,000 - 46,000

              = 314,000

Percent of change = \(\frac{314,000}{360,000}\) × 100%

                               = 87% (rounded to nearest whole percent)

Answer:

B. 91000

Step-by-step explanation:

Answer:

2, 5, 8, 11

Step-by-step explanation:

The domian is the x axis points thingy

Answer: 4



Step-by-step explanation: