What values complete each statement? Enter your answers in the boxes. (2√5)5=

Answer:

73 degrees

Step-by-step explanation:

The angles are the same because they are congruent :)

Answer:

18 tables: $143

t tables: $35 + $6t

Step-by-step explanation:

35 + 6t

35 + 6(18) = 35 + 108 = 143

Answer:

5.34%.

Step-by-step explanation:

Given that,

Measured length of a line = 13.8 inches

Actual length of the line = 13.1  inches

We need to find the percent error of the measurement. We can find it as follows :

\(\%=\dfrac{|measured-actual|}{actual}\times 100\\\\\%=\dfrac{13.8-13.1}{13.1}\times 100\\\\\%=5.34\%\)

So, the required percentage is equal to 5.34%.

Answer:

The possible number of students in Mrs. Hayko's class is limited to 15 or 30, as higher multiples of 15 would exceed the desired class size.

Step-by-step explanation:

a)

Let 'x' be the total number of students in Mrs. Hayko's class.

One-third of the students walk to school: (1/3)x.

The remaining students who do not walk to school: (2/3)x.

Four-fifths of the non-walking students take the bus: (4/5) * (2/3)x.

Simplify to find the fraction of students taking the bus: (8/15)x.

b)

Consider different values for 'x' to find a whole number of students taking the bus.

Start with a small number, such as x = 15.

Calculate the number of students taking the bus using (8/15)x.

If the result is a whole number, it's a possible class size.

Repeat with different values of 'x' until a whole number is obtained.

The possible number of students in Mrs. Hayko's class could be 15, 30, or any other multiple of 15.

You can find this by using the pythagorean theorem.

The Pythagorean Theorem states that the squares of the legs add up to the square of the hypotenuse.

The hypotenuse is the longest side, which is opposite the right angle.

The other 2 sides are the legs.

Here, the hypotenuse is BC which is 17.

AC is one leg. We are trying to find the other leg.

So you set up the equation AB^2+ 15^2 = 17^2.

This simplifies to AB^2 + 225 = 289.

AB^2 = 64.

AB = 8.

The correct relationship of the three principles is: The well-ordering principle for the integers is equivalent to strong mathematical induction, and neither is equivalent to weak mathematical induction.

The well-ordering principle for the integers states that every non-empty set of non-negative integers has a least element. Strong mathematical induction is a proof technique that involves proving that a statement is true for a base case, and then assuming that it is true for all cases up to a certain value, and then proving that it must also be true for the next case.

This requires assuming the truth of all cases up to a certain value, which is where the well-ordering principle comes in. Weak mathematical induction is a proof technique that involves proving that a statement is true for a base case, and then assuming that it is true for a particular case, and then proving that it must also be true for the next case.

Weak mathematical induction does not require assuming the truth of all cases up to a certain value, and is therefore weaker than strong mathematical induction.

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The values of the credit utilization are

He should pay highest interest debt first

a. His Visa?

Here, we are given that

$2000 limit and a balance of $450

So, we have

Ozzie's credit utilization on his Visa is

Utilization = (450/2000) * 100 = 22.5%

b. His store credit card?

Here, we are given that

$500 limit and a $200 balance

So, we have

Ozzie's credit utilization on his store credit card is

Utilization = (200/500) * 100 = 40%

c. The joint card with his mom?

Using the same formula, we have

Ozzie's credit utilization on the joint card with his mom is (700/5000) * 100 = 14%

Overall credit utilization

This is calculated as:

Ozzie's overall credit utilization is the sum of his balances divided by the sum of his credit limits

So, we have

Utilization = (450 + 200 + 700) / (2000 + 500 + 5000) = 13.5%.

The debt with the highest interest rate first. This is because high-interest debt will cost more in the long run, so paying it off sooner will save money on interest charges.

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Answer:

So, equation y=7 is parallel to x-axis. A line parallel to X axis. x axis because it is the same thing as y=0x+7 or y=7, therefore y intercept is 7 and slope is 0.

Step-by-step explanation:

The measure of <1 is 117 degree.

When two lines converge, vertical angles are created. Because the angles are opposite one another, vertical angles are also known as vertically opposite angles.

Examples of vertical angles in real-world contexts include letter "X," open scissors, pliers, and railroad crossing signs.

Given:

m<1=(2x+109) and m<3=(5x+97)

Consider <1 and <3 are Vertical Angles

m <1 = m <3

2x+ 109 = 5x+ 97

12=  3x

x= 4

So, the measure of <1 = 2(4)+ 109 = 117

and, m< 3= 5(4)+ 97 = 117

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Answer:

For the return, i guess that you say in the interval between 15:40 and 15:45, that is the moment where he goes back to his home, and pass through the local shop.

Ok, in the graph we can see pairs (time, position)

The average speed can be obtained with two of these pairs, and the average speed is:

As = (position2 - position1)/(time2 - time1)

In this particular case, we have the pairs:

(15:40, 900m) and (15:45, 400m)

(i guess that the distance is in meters)

Then the average speed is:

As = (900m - 400m)/(15:45 - 15:40)

and 15:45 - 15:40 = 0.5 minutes.

As= 500m/5 min = 100 m/min

This means that the average speed in this return is 100 meters per minute

Answer:

a = 26.241

b = 47.448

Step-by-step explanation:

Answer:

0? and 14?

Step-by-step explanation:

thats what I see im so sorry if im wrong

Answer:

Step-by-step explanation: 3|x-1|>=12

Solve for x

Isolate the variable by dividing each side by factors that don't contain the variable.

Inequality Form:

x≤−3orx≥5x≤-3orx≥5

Interval Notation:

(−∞,−3]∪[5,∞)

Answer:

The answer is -6.

Step-by-step explanation:

Answer:

(B) They are perpendicular because their slopes are negative reciprocals

Step-by-step explanation:

B. They are perpendicular because their slopes are negative reciprocals.

refer to the attached image

The value of the give expression is, 6260/8591

An expression in maths is a sentence with a minimum of two numbers or variables and at least one maths operation.

Given an expression,  9/11 + 3/13 × 26/33 - (21/121÷ 71/111)

9/11 + 3/13 × 26/33 - (21/121÷ 71/111) =

= 9/11+3x2/33-(21/121x111/71)

= 9/11+6/33-2331/8591

= 9/11+2/11-2331/8591

= 1-2331/8591

= 6260/8591

Hence. the value of the give expression is, 6260/8591

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Answer:

No , they are not

Step-by-step explanation:

Checking the ratios:

32/48 = 0.67

48/80 = 0.6

80/150 = 0.53

Since the values are not equal, they are not in proportion.

Answer:

32, 48, 80, and 150 are not in proportion.

Step-by-step explanation:

To determine if 32, 48, 80, and 150 are in proportion, we need to check if the ratio of any two numbers is equal to the ratio of any other two numbers in the set.

Let's check:

Ratio of 32 to 48: 32/48 = 2/3

Ratio of 48 to 80: 48/80 = 3/5

Ratio of 80 to 150: 80/150 = 8/15

Since the ratios are not equal, 32, 48, 80, and 150 are not in proportion.

The area of the triangle formed by the given sides is 9√2 square units.

To find the area of the triangle, we first need to find the length of the third side, ~u - ~v.

~u - ~v = 〈3, 3, 3〉 - 〈6, 0, 6〉 = 〈-3, 3, -3〉

Next, we can use the formula for the area of a triangle given the lengths of its sides:

Area = 1/4 * √(4a²b² - (a² + b² - c²)²)

where a, b, and c are the lengths of the sides.

Using this formula with the lengths of the sides ~u, ~v, and ~u - ~v, we get:

a = ||~u|| = √(3² + 3² + 3²) = 3√3

b = ||~v|| = √(6² + 0² + 6²) = 6√2

c = ||~u - ~v|| = √((-3)² + 3² + (-3)²) = 3√2

Plugging these values into the formula, we get:

Area = 1/4 * √(4(3√3)²(6√2)² - (3√3)² - (6√2)² - (3√2)²)

= 9√2

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The third-ranked magazine has approximately 176,000 digital subscribers.

To find the number of digital subscribers for the third-ranked magazine, we can set up an equation based on the information provided.

Let's assume the number of digital subscribers for the third-ranked magazine is x. According to the given information, the top-ranked magazine has 1150% more digital subscribers than the third-ranked magazine.

1150% can be expressed as 11.5 in decimal form.

So, the number of digital subscribers for the top-ranked magazine would be x + 11.5x = 12.5x.

Given that the top-ranked magazine has 2.2 million digital subscribers, we can set up the equation:

12.5x = 2.2 million

To solve for x, we divide both sides of the equation by 12.5:

x = 2.2 million / 12.5

x ≈ 176,000

Therefore, the third-ranked magazine has approximately 176,000 digital subscribers.

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The trigonometric rations of the sine functions are:

Sin α = opposite side / hypotenuse. Cos α = adjacent side / hypotenuse.

Tan α =  opposite side / adjacent side.

From the given figure, ∠P=90° and ∠R+∠Q=90°.

According to the Pythagoras's Theorem,

(PQ)² = √(50)² - (14)²

(PQ)² = 2500-196= 2304

PQ = √(2304)

PQ= 48 units

Blank 1: Sin Q = opposite side / hypotenuse

Sin Q = 14/50

Sin Q = 0.28

Blank 2: Cos Q = adjacent side / hypotenuse

Cos Q = 48/50

Cos Q = 0.96

Blank 3: Tan Q = opposite side / adjacent side

Tan Q = 14/48

Tan Q = 0.29

Blank 4: Sin R = opposite side / hypotenuse

Sin R = 48/50

Sin R = 0.96

Blank 5: Cos R = adjacent side / hypotenuse

Cos R = 14/50

Cos R = 0.28

Blank 6: Tan R = opposite side / adjacent side

Tan R = 48/14

Tan R = 3.42

Therefore, these are the trigonometric ratios that are given in the sum.

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The specific limit may vary depending on the jurisdiction, but in many places, the answer would be: (a) less than 0.02

As a driver under the age of 21, the maximum legal Blood Alcohol Concentration (BAC) by breathalyzer test is typically lower due to stricter regulations regarding alcohol consumption for underage individuals.

It's important to note that laws and limits can differ between countries and even within different states or regions, so it's essential to consult the local regulations for accurate and up-to-date information regarding BAC limits for underage drivers.

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Answer:

3 boxes

Step-by-step explanation:

Answer:

Step-by-step explanation:

Area of a triangle is   A = height x base / 2

So plug in what you know.

42 = (14 x b)/2  get rid of the 2 by multiplying both sides by 2 which gives:

84 = 14 x b       get rid of the 14 by dividing both sides by 14

b = 84/14

b=6 cm

Area measures the 2 dimensional space a figure takes. The base of the considered triangle is 6 cm long.

Suppose that the considered triangle has base 'b' units and height 'h' units.

Then, its area will be:

\(A =\dfrac{1}{2} \times b \times h \: \rm unit^2\)

For this case, we are given that:

Then, from the formula for area of a triangle, we get:

\(A = b \times h \: \rm unit^2\\\\42 = \dfrac{1}{2}\times{b}\times{14}\\\\42 = b \times 7\\\\\text{Dividing both the sides by 7}\\\\\dfrac{42}{7} = \dfrac{b \times 7}{7}\\\\6 = b\\\\b = 6 \: \rm cm\)

Thus, the base of the considered triangle is 6 cm long.

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The number of visitors to the local art museum is expected to increase by 4% per month over the next 6 months. A function that models the number of visitors to the museum "t" months from now can be represented by the equation: N(t) = 3000 * \((1 + 0.04)^t.\)

To model the number of visitors to the museum "t" months from now, we need to account for the 4% increase in visitors each month. We start with the initial number of visitors, which is given as 3000.

To calculate the number of visitors after 1 month, we multiply the initial number of visitors (3000) by (1 + 0.04), which represents a 4% increase. This gives us 3000 * (1 + 0.04) = 3120.

Similarly, to calculate the number of visitors after 2 months, we multiply the previous number of visitors (3120) by (1 + 0.04) again. This process continues for each month, with each month's number of visitors being 4% greater than the previous month.

Therefore, the function that models the number of visitors to the museum "t" months from now is N(t) = 3000 * (1 + 0.04)^t, where N(t) represents the number of visitors and t represents the number of months from the current time.

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The median of the given data set is 259.

To find the median of a set of data, we arrange the data in ascending or descending order and locate the middle value.

If there is an odd number of data points, the median is the middle value. If there is an even number of data points, the median is the average of the two middle values.

Arranging the given data in ascending order, we have:

{154, 215, 224, 253, 254, 259, 263, 267, 276, 293, 389}

There are 11 data points, which is an odd number.

Therefore, the median is the middle value of the ordered data set.

The middle value is the 6th number in the ordered list, which is 259.

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The resulting figure will be an enlargement of figure ABCD.

Angle is a measurement of a turn, typically measured in degrees or radians. An angle is formed when two straight lines intersect or when a straight line and a curved line intersect. The point of intersection is called the vertex. An angle can also be defined as the amount of turn between two lines, rays or planes. Angles are also used to measure the direction of a vector.

The figure resulting from a dilation of figure ABCD is a scaled version of the original figure, with all of the sides and angles proportionally larger. This means that the resulting figure will have the same shape as the original figure ABCD, but will be larger. For example, if the center of dilation, point Q, is twice as far from the figure ABCD as it was originally, then the resulting figure will be twice as large as the original figure ABCD. Point Q will remain the center of the new figure, and all of the sides and angles will be in the same proportions as the original figure. The resulting figure will be an enlargement of figure ABCD.

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The resulting figure will be an enlargement of figure ABCD.

Angle is a measurement of a turn, typically measured in degrees or radians. An angle is formed when two straight lines intersect or when a straight line and a curved line intersect. The point of intersection is called the vertex. An angle can also be defined as the amount of turn between two lines, rays or planes. Angles are also used to measure the direction of a vector.

The figure resulting from a dilation of figure ABCD is a scaled version of the original figure, with all of the sides and angles proportionally larger. This means that the resulting figure will have the same shape as the original figure ABCD, but will be larger. For example, if the center of dilation, point Q, is twice as far from the figure ABCD as it was originally, then the resulting figure will be twice as large as the original figure ABCD. Point Q will remain the center of the new figure, and all of the sides and angles will be in the same proportions as the original figure. The resulting figure will be an enlargement of figure ABCD.

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Answer: a=21, b=42, c=117

Step-by-step explanation:

Answer:

Harriet is 16 years of age

Step-by-step explanation:

(x-5)+x=37

2x=42

x=21

21-5=Harriet's Age

Answer:

Sequence of arithmetic

Step-by-step explanation: An arithmetic sequence is a list of numbers with a definite pattern. If you take any number in the sequence then subtract it by the previous one, and the result is always the same or constant then it is an arithmetic sequence.