David earned a raise of an additional $2.00 per hour. Initially, he started at $14.00 an hour. What is the percent increase in David’s hourly pay? Round percentage to the tenths place.

Answer:

15

Step-by-step explanation:

If in the model 1 inch = 6 feet and there is a 90 foot inch airplane we would divide 90 / 6 to find out how many inches there would be in the model. 90/6=15.

Answer:

90°

Step-by-step explanation:

Angle C is an inscribed angle off the diameter. All angles like this, that create a triangle with the diameter, are equal to 90°.

Answer:

∠C=90°

Step-by-step explanation:

∠C=1/2(BA)

∠C= 1/2 (180)

∠C=90°

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

hope it helps...

have a great day!!

The correct statement are:

Based on the given information, we can make the following conclusions:

A. The interquartile range for high school students is smaller than college students.

The statement is False

B. The mean for high school students is smaller than college students.

The statement is False because the mean of College is 25.28 and mean for High school is 30.4.

C. The range for high school students is larger than college students.

The statement is True .

D. The college median is equal to the high school median.

The statement is True because the median for both is 24..

E. The mean absolute deviation is larger for college students than high school students.

The statement is False.

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The probability of ordering a caramel macchiato or a muffin is 82%.

Let us denote the Probability of ordering a caramel Macchiato as P(C), the Probability of ordering a muffin as P(M), the probability of ordering both a caramel macchiato and a muffin as P(C ∩ M), and the probability of ordering a caramel macchiato or a muffin P(C ∪  M).

It is given that:

P(C)=72%

P(M)=32%

P(C ∩ M)=22%

We need to find P(C ∪  M).

According to the Union Law of probability, the probability of the union of two events A and B is equal to the sum of their individual probabilities minus the probability of their intersection.

P(A ∪ B) = P(A) + P(B) - P(A ∩ B)

In this case:

P(C ∪ M)=P(C)+P(M)-P(C ∩ M)

Upon substituting the given values;

P(C ∪ M)=72%+32%-22%=82%

Hence, the probability of ordering a caramel macchiato or a muffin =

P(C ∪  M) is 82%.

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Surface area of cuboid  is = 312 ,With dedication and effort, you can succeed in your geometry test and feel confident about your understanding of the subject.

Surface area of a cuboid is = 2lw + 2lh + 2 hw

where ; l= length

w= width.

h = height

= 2(10×6)+2(10×6)+2(6×6)

=2(60)+2(60)+2(36)

=120+120+72

=312

Geometry can be challenging, but with the right mindset and approach, you can do well. To start, make sure you understand the basic concepts and definitions.

Then, practice solving problems and applying those concepts. Don't be afraid to ask questions or seek help when you need it. Utilize resources such as textbooks, online tutorials, and practice worksheets.

Also, try to relate geometry to real-life situations to make it more interesting and relevant. Remember to take breaks and stay organized to avoid feeling overwhelmed.

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Answer: 12 blueberry muffins

Step-by-step explanation:

Answer:

a) s × ($7.70 - $1.70) > $7,900

b) s > 1,306 sandwiches

c) 431 more sandwiches

Step-by-step explanation:

The question is

The given parameters are;

The constant total expenses (fixed cost), C = $7,900

The cost it takes to make each sandwich, \(p_s\) = $1.70

The price at which the food truck sells its sandwiches, \(c_s\) = $7.75

Where "s" represent the number of sandwiches sold, we have;

a) Therefore, the inequality that represent the number of sandwiches the food truck will have to sell each month to earn more money from selling sandwiches than it pays in expenses and sandwich costs is given as follows;

s × (\(c_s\) - \(p_s\)) > C

Substituting the known values, gives;

s × ($7.75 - $1.70) > $7,900.00

b) From the inequality, which we have;

s > $7,900/($7.75 - $1.70)

However, $7,900/($7.75 - $1.70) = 158,000/121 ≈ 1,305.79

We round up to the nearest whole number since we are counting sandwiches which are counted per each piece

Therefore;

s > 1,306 sandwiches

An explanation is that the food truck will have to sell more than 1,305 sandwiches to be earn more money than it pays in expenses and sandwich costs.

c) The amount in discount the food truck offers in a specific month = $1.50

Therefore, the amount the food truck sells the sandwich in the given month \(c_s\) = $7.75 - $1.50 = $6.25

Therefore the number of sandwich the food truck company will have to sell on that month to earn more money from selling sandwiches than it pays the in expenses and sandwich cost, "s" is given as follows;

s × (\(c_s\) - \(p_s\)) > C

s × ($6.25 - $1.70) > $7,900, which gives;

s > $7,900/($6.25 - $1.70)

$7,900/($6.25 - $1.70) ≈ 1,73.26

We round up to get, s > 1,737

We round up

Therefore, the number of more (extra) sandwiches the food truck have to sell to earn money from selling sandwiches than it pays in expenses and food costs is the difference in the number of sandwiches it has to sell at $7.75 and $6.25 to earn more money than it pays in fixed expenses (costs) and the sandwich cost which is given as follows;

At $7.75 the number of sandwiches the food truck has to sell s > 1,306

At $1.70 the number of sandwiches the food truck has to sell is s > 1,737

The more number of sandwiches it has to sell = 1,737 - 1,306 = 431 more sandwiches

The more number of sandwiches it has to sell = 431 more sandwiches

(From which we check to have; 1306 + 431 = 1737 which is correct)

The inequality represents how many sandwiches, the food truck is \(s \times ($7.75 - $1.70) > $7,900.00\)

The solution of the inequality is,1,305.79

The more number of sandwiches it has to sell is 1373 more sandwiches

Given that,

A local food truck specializes in gourmet grilled cheese sandwiches.

Each month, the owners of the truck have a constant total of $7,900 in expenses (salaries, truck loan, etc.) and it costs $1.70 per sandwich to make each sandwich.

The food truck sells its sandwiches for $7.75 each.

We have to determine,

Write an inequality to represent how many sandwiches, the food truck.

Solve the inequality.

To gain more sales, the food truck offers a discount one month of $1.50 off its sandwiches.

How many more sandwiches will it need to sell to earn more money from selling sandwiches than it pays in expenses and food costs

According to the question,

The constant total expenses (fixed cost), C = $7,900

The cost takes to make each sandwich,  = $1.70

The price at which the food truck sells its sandwiches,  = $7.75

Where "s" represents the number of sandwiches sold.

\(s \times (c_s-p_s)>c\)

Substituting the known value in the equation,

\(s \times ($7.75 - $1.70) > $7,900.00\)

       $7,900/($7.75 - $1.70)

       = 158,000/121

       ≈ 1,305.79

The nearest whole number since we are counting sandwiches which are counted per piece.

Therefore;

s > 1,306 sandwiches

An explanation is that the food truck will have to sell more than 1,305 sandwiches to earn more money than it pays in expenses and sandwich costs.

The number of sandwiches the food truck company will have to sell on that month to earn more money from selling sandwiches than it pays the in expenses and sandwich cost, "s" is given as follows;

\(s \times (c_s-p_s)>c\)

s × ($6.25 - $1.70) > $7,900, which gives;

s > $7,900/($6.25 - $1.70)

$7,900/($6.25 - $1.70) ≈ 1,73.26

s > 1,737

Therefore, the number of more (extra) sandwiches the food truck have to sell to earn money from selling sandwiches than it pays in expenses and food costs is the difference in the number of sandwiches it has to sell at $7.75 and $6.25 to earn more money than it pays in fixed expenses (costs) and the sandwich cost which is given as follows;

At $7.75 the number of sandwiches the food truck has to sell s > 1,306

At $1.70 the number of sandwiches the food truck has to sell is s > 1,737

The more number of sandwiches it has to sell = 1,737 - 1,306 = 431 more sandwiches

The more number of sandwiches it has to sell = 431 more sandwiches

= 1306 + 431 = 1737

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When two angles add up to 180 degrees, they are supplementary (a Straight Angle). As long as the sum is 180, they don't have to be close to each other.

Given, a graph in which two lines g and f intersect each other at a point "Q" on a plane "V".

Two rays that have a common endpoint and are referred to as the angle's sides and vertices, respectively, form an angle. Two rays can form angles in the plane where they are positioned.

Angles with a sum of 180 degrees are referred to be complementary angles. Complementary angles are those formed by straight lines.

The 90-degree angles between the two lines are known as supplementary angles.

Therefore, WQ and QW are two other names for line g. R, Q, and S intersect at R. Point Q on Plane V is where two lines meet. WQ, RQ, and SQ are the three segments that have endpoint q. Every angle that has the vertex M is JMK and KML. KML and KLM are the two nearby angles. JMK and KML are the pair of supplementary angles.

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The measure of the angle x will be 57°.

The angle of an arc in a circle is defined as the angle subtended by the arc at the centre of the circle. The angle of the arc is measured in degrees or radians.

There is a theorem related to the angle of an arc in a circle called the central angle theorem. This theorem states that the angle subtended by an arc at the centre of a circle is equal to double the angle subtended by the same arc at any point on the circumference of the circle.

The measure of the angle x is,

x = ( 360 - 123 - 123 ) / 2

x = 57°

Hence, the value of an angle x is 57°.

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a)There are 749,398 ways to choose three dozen croissants.

b)There are 1,013 ways to choose two dozen croissants with no more than two broccoli croissants.

c) There are 4,186 ways to choose two dozen croissants with at least five chocolate croissants and at least three almond croissants.

To solve the given problems, we can use combinations and counting techniques. Let's break down each problem:

a) To choose three dozen croissants, we need to select a total of 36 croissants from the available types. Since each type has an infinite supply, we can select any number of croissants from each type.

This is equivalent to distributing 36 identical objects (croissants) into 6 distinct groups (types of croissants). We can use the stars and bars technique to solve this.

Using the stars and bars formula, the number of ways to distribute 36 croissants among 6 types is:

C(36 + 6 - 1, 6 - 1) = C(41, 5) = 749,398

Therefore, there are 749,398 ways to choose three dozen croissants.

b) To choose two dozen croissants with no more than two broccoli croissants, we can consider different cases:

- 0 broccoli croissants: Choose 24 croissants from the remaining 5 types (excluding broccoli).

- 1 broccoli croissant: Choose 23 croissants from the remaining 5 types.

- 2 broccoli croissants: Choose 22 croissants from the remaining 5 types.

The total number of ways to choose two dozen croissants with no more than two broccoli croissants is the sum of these cases:

C(24, 5) + C(23, 5) + C(22, 5) = 425 + 336 + 252 = 1,013

Therefore, there are 1,013 ways to choose two dozen croissants with no more than two broccoli croissants.

c) To choose two dozen croissants with at least five chocolate croissants and at least three almond croissants, we can again consider different cases:

- 5 chocolate croissants and 3 almond croissants: Choose 16 croissants from the remaining 4 types (excluding chocolate and almond).

- 6 chocolate croissants and 3 almond croissants: Choose 15 croissants from the remaining 4 types.

- 7 chocolate croissants and 3 almond croissants: Choose 14 croissants from the remaining 4 types.

The total number of ways to choose two dozen croissants with the given conditions is the sum of these cases:

C(16, 4) + C(15, 4) + C(14, 4) = 1820 + 1365 + 1001 = 4,186

Therefore, there are 4,186 ways to choose two dozen croissants with at least five chocolate croissants and at least three almond croissants.

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Answer: 0.1 liter

Step-by-step explanation:

From the question, we are informed that Brianna teacher gives her a container that has 0.25 liter of a liquid in it and she needs to use 0.4 of this liquid for the experiment.

The amount of liquid that Brianna will use will be:

= 0.4 × 0.25 liters

= 0.1 liter

The linear equation from the given data can be constructed as y=200x+c

The slope-intercept form of a line is represented by y=mx+c where m=slope and c is the y-intercept of the line

Given here: The slope of a line is 200 and the y-intercept as 100

We know the slope intercept form of a line s given by y=mx+c

Thus substituting the values we get

y=200x+100

Hence, The linear equation from the given data is y=200x+c

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The depth of water after 10 minutes is 20 inches which is the option A.

Given that:-

Depth of water in a tank after t minutes is modeled by the function f(t) = 5+1.5t, measured in inches.

Let us check for Option A.

Putting t = 10 min in the given equation, we get,

f(10) = 5 + 1.5*10 = 5 + 15 = 20 inches.

Hence, option A is the right answer.

We can also check the other options to confirm our answer.

Putting t = 20 minutes,

f(20) = 5 + 1.5*20 = 5 + 30 = 35 inches

As 10 inches is written in B, hence, it is not the right answer.

We already know that t = 10 gives 20 inches.

Hence, C is not the answer.

Putting t = 65 minutes,

f(20) = 5 + 1.5*65 = 5 + 97.5 = 102.5 inches

As 10 inches is written in D, hence, it is not the right answer.

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In a Cartesian coordinate system for a three-dimensional space, let the sphere S be represented by the equation:

(x - a)^2 + (y - b)^2 + (z - c)^2 = r^2

where (a, b, c) are the coordinates of the center of the sphere, and r is the radius.

Let the plane P be represented by the equation:

Ax + By + Cz + D = 0

where (A, B, C) is the normal vector to the plane.

Since the line d is parallel to P and passes through the origin, it can be represented by the equation:

lx + my + nz = 0

where (l, m, n) is a vector parallel to the plane P.

To find the intersection points of the sphere S and the line d, we can substitute the equation of the line into the equation of the sphere, which gives us a quadratic equation in t:

(lt - a)^2 + (mt - b)^2 + (nt - c)^2 = r^2

Expanding this equation and collecting terms, we get:

(l^2 + m^2 + n^2) t^2 - 2(al + bm + cn) t + (a^2 + b^2 + c^2 - r^2) = 0

Since the line d passes through the origin, we have:

l(0 - a) + m(0 - b) + n(0 - c) = 0

which simplifies to:

al + bm + cn = 0

Therefore, the quadratic equation reduces to:

(l^2 + m^2 + n^2) t^2 + (a^2 + b^2 + c^2 - r^2) = 0

This equation has two solutions for t, which correspond to the two intersection points of the line d and the sphere S:

t1 = -(a^2 + b^2 + c^2 - r^2) / (l^2 + m^2 + n^2)

t2 = -t1

The coordinates of the intersection points can be obtained by substituting these values of t into the equation of the line d:

A = lt1, B = mt1, C = nt1

and

D = lt2, E = mt2, F = nt2

To find the distance between A and B, we can use the distance formula:

AB = sqrt((A - D)^2 + (B - E)^2 + (C - F)^2)

To maximize this distance, we can differentiate the distance formula with respect to t1 and set the derivative equal to zero:

d/dt1 (AB)^2 = 2(A - D)l + 2(B - E)m + 2(C - F)n = 0

This equation represents the condition that the direction vector (A - D, B - E, C - F) is orthogonal to the line d. Therefore, the vector (A - D, B - E, C - F) is parallel to the normal vector (l, m, n) of the plane P.

Using this condition, we can find the values of t1 and t2 that correspond to the maximum distance AB. Then we can substitute these values into the distance formula to find the maximum length of AB.

The number of ways people can get off the elevator is 604800 ways.

In this question,

Number of people, n = 7

Number of floors, r = 10

The first person can leave elevator in one of 10 ways. Then second person has to choose from one of remaining 9 floors. Then third person in 8, fourth in 7 ways and so on.

Number of ways people can get off the elevator can be calculated as

⇒ \(nP_r=\frac{n!}{(n-r)!}\)

⇒ \(10P_{7}=\frac{10!}{(10-7)!}\)

⇒ \(10P_{7}=\frac{10!}{(3)!}\)

⇒ \(10P_{7}=\frac{(10)(9)(8)(7)(6)(5)(4)3!}{(3)!}\)

⇒ \(10P_{7}=(10)(9)(8)(7)(6)(5)(4)\)

⇒ 604800 ways.

Hence we can conclude that the number of ways people can get off the elevator is 604800 ways.

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Step-by-step explanation:

\( {5}^{2} = 25\)

Answer:

5x to the second power is 25

Step-by-step explanation:

Answer: b

Step-by-step explanation:

Answer:

B = 50

Step-by-step explanation:

\(\frac{5}{10} =\frac{b}{100}\)   do butterfly multiplication

\(5*100=500\)

\(10*b=10b\)

\(\frac{10b}{10}=\frac{500}{10}\)

B = 50

The length of the diagonal is 8√2 ft.

If the side of the square is 8 ft, then the diagonal will form a right triangle with legs of length 8 ft. We can use the Pythagorean theorem to find the length of the diagonal (hypotenuse).

Pythagorean theorem states that in a right triangle, the sum of the squares of the lengths of the legs is equal to the square of the length of the hypotenuse.

In this case, we have:

a = 8 ft (one leg)

b = 8 ft (the other leg)

c = ? (the hypotenuse)

Using the Pythagorean theorem, we have:

c² = a² + b²

c² = 8² + 8²

c² =  64 + 64

c² = 128

c = √128

c = 8√2 ft

Therefore, the length of the diagonal is 8√2 ft.

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Answer:

-2

Step-by-step explanation:

use pemdas, it works to help you get the correct answer

Answer:

− 13.5 x − 7

Step-by-step explanation:

Answer:

5

Step-by-step explanation:

3^2+4^2

9+16=25

sqrt25

Answer:

?

Step-by-step explanation:

The total distance that the particle travels, over 8 s, is given as follows:

15.5 m.

Considering a rectangle of length l and width w, we have that:

Using the Riemman Sums, the table can be interpreted as the division of four rectangles, with dimensions given as follows:

Hence the area of the rectangle is given as follows:

A = 2 x 1 + 1.5 x 2 + 1.5 x 4 + 3 x 1.5

A = 15.5.

The area represents the total distance using Riemann Sums.

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Answer:

what are u needing??

Step-by-step explanation:

Best describe a parallelogram with diagonals that are perpendicular is rectangle.

A parallelogram with diagonals that are perpendicular is called a rectangle. A rectangle is a special type of parallelogram that has four right angles. This means that the diagonals of a rectangle are perpendicular to each other, and they bisect each other.

In addition to having perpendicular diagonals, a rectangle has other unique properties. Its opposite sides are congruent and parallel, and all angles are right angles. The diagonals of a rectangle have the same length, and they divide the rectangle into four congruent right triangles.

The properties of a rectangle make it a useful shape for many practical applications. For example, rectangular shapes are commonly used in building construction, furniture design, and graphic design. The perpendicular diagonals of a rectangle also make it useful for geometric proofs and calculations.a

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Answer:

Oppositeleg

adjacenleg

Answer:

option 1

Step-by-step explanation:

Just remember this to get the trigonometric ratio in a right triangle :

    Old Henry And His Old Aunt

O for opposite

H for hypotenuse

A for Adjacent

Sin = O/ H

Cos = A /H

Tan = O /A

Given:

Amount Kathy paid down = $1500

Percentage it represents = 8% of the total cost = 0.08

Let's find the total cost of the car.

To find the total cost of the car since $1500 represents 8% of the total cost, we have:

0.08x = 1500

Where x is the total cost of the car.

Let's solve for x in the equation.

Divide both sides by 0.08

Therefore, the total cost of the car is $18,750

ANSWER:

$18,750

The main idea behind statistical inference is that through the use of sample data, we are able to draw conclusions about the population from which the data was drawn (option c).

Statistical inference allows us to make inferences and draw conclusions about a larger population based on the analysis of a smaller representative sample.

By collecting data from a sample, we can use statistical methods to analyze and summarize the information. These methods include estimating population parameters, testing hypotheses, and making predictions.

The key assumption underlying statistical inference is that the sample is representative of the larger population, allowing us to generalize the findings to the population as a whole.

Statistical inference provides a way to make reliable and informed decisions, identify patterns and relationships, and make predictions about future observations based on the available data. It allows researchers, scientists, and decision-makers to make evidence-based conclusions and draw meaningful insights from limited observations.

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Step-by-step explanation:

step 1. a triangle has 3 sides and the 3rd side cannot be longer than the other two sides added together

step 2. (and!) a triangle has 3 sides and the 3rd side must be at least as big as the difference between the 2 other sides

step 3. 15 - 10 < x < 10 + 15

step 4. 5 < x < 25

step 5. answer: 6.