114 points on the coordinate plane below which point would lie on both the X axis and the Y axis?

9514 1404 393

Answer:

Step-by-step explanation:

Angles opposite congruent sides are congruent, so base angles D and F of this isosceles triangle have the same measure:

  y = 55

__

The sum of angles in the triangle is 180°, so ...

  55° +(11x +4)° +55° = 180°

  11x = 66 . . . . . . . . divide by °, subtract 114

  x = 6 . . . . . . . . . . .divide by 11

The values of x and y are 6 and 55, respectively.

Answer:

the correct option is (B) (x-3)(x+10).

Step-by-step explanation:

To factorize the trinomial x²+7x-30, we need to find two binomials whose product is equal to this trinomial. These binomials will have the form (x+a) and (x+b), where a and b are constants.

To find a and b, we need to look for two numbers whose product is -30 and whose sum is 7. One pair of such numbers is 10 and -3.

Therefore, we can factorize the trinomial as follows:

x²+7x-30 = (x+10)(x-3)

Answer:

98 cats and 19 dogs

Step-by-step explanation:

cat = c

dog = d

The animal shelter currently has a total of 117 animals

c + d = 117

c = 117 - d

the number of cats is 3 more than 5 times the number of dogs

c = 3 + 5d

subtitute c

117 - d = 3 + 5d

117 - 3 = 5d + d

114 = 6d

6d = 114

d = 114/6 = 19

so, the cat is 117-19 = 98

To find the perimeter, we must add together the length of each side.

The tick mark on the lines means they are equal, so that means we have two lines that are equal to 10

26 + 10 + 35 + 5 + 10 + (38 - 10) = 114"

The nominal GDP for the year 2017 is $87,000, and the real GDP for the year 2017 is $87,000.

Using a base year,the formula to calculate the Real GDP is given below:

Real GDP = Nominal GDP ÷ Deflator (in decimal)

Where, Deflator = (Price of base year goods and services ÷ Price of current year goods and services) × 100

Nominal GDP for the year 2017= 1,650 × 10 + 2,820 × 25= 16,500 + 70,500= 87,000

Nominal GDP for the year 2019= 1,900 × 12 + 3,250 × 27= 22,800 + 87,750= 110,550 Using the above formula,

Deflator for the year 2017 can be calculated as:

Deflator for 2017= (P2017 / P2017) × 100= (1 × 10 + 2 × 25) / (1 × 10 + 2 × 25) × 100= 100

Similarly, Deflator for the year 2019 can be calculated as:

Deflator for 2019= (P2019 / P2017) × 100= (1.10 × 12 + 2.75 × 27) / (1 × 10 + 2 × 25) × 100= 120.25

Now, Real GDP for the year 2017= 87,000 / 100= $87,000 Real GDP for the year 2019= 110,550 / 120.25= $917.54 million.

Thus, the nominal GDP for the year 2017 is $87,000, and the real GDP for the year 2017 is $87,000. The nominal GDP for the year 2019 is $110,550, and the real GDP for the year 2019 is $917.54 million.

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Setting the widths of divs within a div to equal 90% of the page allows each div to take up 90% of its parent div's width, while setting just one div to be 90% of the page causes that div to take up 90% of the width of the entire webpage.

The difference between setting the widths of the divs that are within a div to equal 90% of the page and setting just one div to be 90% of the page is the way the divs will be displayed on the webpage.

When you set the widths of the divs that are within a div to equal 90% of the page, each individual div will take up 90% of the width of its parent div. This means that if you have multiple divs within the parent div, they will each take up 90% of the available space, but will still be contained within the boundaries of the parent div.

On the other hand, when you set just one div to be 90% of the page, that div will take up 90% of the width of the entire webpage, not just its parent div. This means that the div will expand to take up most of the available space, potentially pushing other elements on the webpage to the side.

In summary, setting the widths of divs within a div to equal 90% of the page allows each div to take up 90% of its parent div's width, while setting just one div to be 90% of the page causes that div to take up 90% of the width of the entire webpage.

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The set of integers is the set of all whole numbers and their negative counterparts. This includes the numbers ..., -3, -2, -1, 0, 1, 2, 3, ...

Numbers that are not included in the set of integers are fractions, decimals, and other numbers that are not whole numbers. For example, the numbers 0.5, 1.6, and -3.14 are not included in the set of integers.

For example, the set of integers includes the numbers -3, -2, -1, 0, 1, 2, 3, and so on. These numbers can be negative, positive, or zero, but they must be whole numbers (that is, they must not include any fractional or decimal parts).

Numbers that are not included in the set of integers are any numbers that are not whole numbers. These include fractions, decimals, and other numbers that are not integers. For example, the numbers 0.5, 1.6, and -3.14 are not integers, because they include fractional or decimal parts.

In summary, the set of integers includes all whole numbers and their negative counterparts and excludes any numbers that are not whole numbers.

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Answer:

answer is 16 cm =8 cm

8 cm = 4 cm

32 cm = 16 cm

4 cm = 2 cm

Amani earns 59 dollars in a week if she sells 18 books.

Amani earns a base amount of $41 per week for working part-time at the bookstore. In addition to that, she earns an extra dollar for each book she sells. The equation A = 41 + b represents her total earnings, where A represents the amount she earns and b represents the number of books she sells.

To find out how much Amani earns in a week if she sells 18 books, we substitute the value of b (18) into the equation:

A = 41 + 18

This simplifies to:

A = 59

Therefore, if Amani sells 18 books in a week, she will earn $59.

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if 40 makes him 30 mins late and 60 makes him 30 mins early then it only would make since that in between both 40 and 60 is 50 and that would make him go on time

mr. earl e. bird leaves his house for work at exactly 8:00 a.m. every morning

when he averages 40 miles per hour, he arrives at his workplace thirty minutes late.

when he averages 60 miles per hour, he arrives thirty minutes early.

at what average speed, in miles per hour, should mr. bird drive to arrive at his workplace precisely on time?

if 40 makes him 30 mins late and 60 makes him 30 mins early then it only would make since that in between both 40 and 60 is 50 and that would make him go on time

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The final answer is -1.

The definition of Imaginary Numbers is actually i2 = -1. With this definition, we can evaluate i10 by using the rules of exponents and the fact that i2 = -1. Here are the steps to evaluate i10:

1. Rewrite i10 as (i2)5 using the rule of exponents that (ab)c = abc.
2. Substitute -1 for i2 using the definition of Imaginary Numbers.
3. Simplify (-1)5 to get -1.

So, i10 = (i2)5 = (-1)5 = -1. The final answer is -1.

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Answer:

posotive

Step-by-step explanation:

The word that describes the slope of the line is positive (Option A).

The slope of a line can be defined as the proportion/ratio of a given rise divided by its run.

Estimation of the slope of the line may result a very useful measurement of the line's inclination in relation to the horizontal.

In conclusion, the word that describes the slope of the line is positive (Option A).

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Answer:

Step-by-step explanation:

The tires and the traction control system work in tandem to ensure maximum traction and stability, minimizing the risk of traction loss and improving overall vehicle control and safety.

The two most important parts of a vehicle in preventing traction loss are the tires and the traction control system.

Tires: Tires are the primary point of contact between the vehicle and the road surface. The quality and condition of the tires greatly influence traction. Tires with good tread depth and appropriate tread pattern are essential for maintaining grip on the road. Tread depth helps to channel water, snow, or debris away from the tire, preventing hydroplaning or loss of traction. Additionally, tire pressure should be properly maintained to ensure even contact with the road. Choosing tires suitable for the specific driving conditions, such as all-season, winter, or performance tires, is crucial for optimal traction and handling.

Traction Control System: The traction control system is a vehicle safety feature that helps prevent the wheels from slipping or spinning on low-traction surfaces. It uses various sensors to monitor the speed and rotation of the wheels. If the system detects a loss of traction, it will automatically reduce engine power and apply braking force to the wheels that are slipping. By modulating power delivery and braking, the traction control system helps maintain traction and prevent wheel spin, especially in challenging conditions like slippery roads or during quick acceleration.

The tires and the traction control system work in tandem to ensure maximum traction and stability, minimizing the risk of traction loss and improving overall vehicle control and safety.

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Answer : tanθ = sqrt(1 - (910)²) / 910

Given:  that the terminal side of angle θ intersects the unit circle in the first quadrant at (910, y), we can find the value of tanθ using the coordinates.

Explanation:
   Recall that on the unit circle, tanθ = y/x. In this case, x = 910 and y is the unknown value. However, since we are in               the first quadrant, both x and y will be positive.

To find y, we can use the Pythagorean theorem for the unit circle: x² + y² = 1.

Substitute x = 910:
(910)² + y² = 1
y² = 1 - (910)²

Now, since y is positive in the first quadrant, we take the positive square root:
y = sqrt(1 - (910)²)

Finally, find tanθ = y/x:
tanθ = sqrt(1 - (910)²) / 910

Response variable defined with:

B. The number or quality of the variable for whom the value the experimenter wants to figure out how the explanatory variable affects.

Option B describes the response variable as the variable of interest that the experimenter is trying to study and understand how it is affected by other variables, known as explanatory variables. The response variable is often the dependent variable in a study and the focus of the analysis.

On the other hand, option A describes a situation in which the effect of two factors on the response variable cannot be distinguished, which is not a definition of the response variable itself. Option C describes a placebo, which is a different concept in experimental design.

Option D is similar to option B but does not describe the response variable as being the focus of the experimenter's study.

The response variable, also known as the dependent variable, is a variable in a statistical model or experiment that is being measured or studied. It is the outcome of interest that the experimenter wants to understand and explain by considering the effects of one or more independent variables, also known as explanatory variables.

The goal of the experiment is to determine how changes in the explanatory variables affect the response variable. In a sense, the response variable is the dependent variable because its value depends on the values of the independent variables.

Understanding the relationship between the response and explanatory variables is important in fields such as science, medicine, and engineering, where researchers are often interested in predicting or controlling outcomes based on various inputs.

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Two values have frequency 2, so both are modes. They are 5 and 6. Therefore, the mode is 5 and 6.

Given measure: 3, 5, 4, 6, 10, 5, 6, 9, 2, 13.(D) To calculate \(x_2\), first we need to sort the data in ascending order: 2, 3, 4, 5, 5, 6, 6, 9, 10, 13

Now, we need to find the median, which is the middle value of the data. Since the data has even number of values, we will calculate the mean of middle two values, that is:(5+6)/2 = 5.5 Therefore, \(x_2 = 5.5\).\( \frac{2}{x}= \) To find the value of x, we will first cross-multiply and then take the reciprocal of both sides:\[\frac{2}{x} = y \Rightarrow 2 = xy \Rightarrow x = \frac{2}{y}\] Therefore, \( \frac{2}{x}= \frac{2}{y}\).

(b) To calculate Fried m, we will use the formula: \[f_m = L + \frac{(n/2 - F)}{f} \times c\]where L is the lower limit of the modal class, F is the cumulative frequency of the class preceding the modal class, f is the frequency of the modal class, c is the class interval, and n is the total number of values.

First, we will calculate the class interval:c = (upper limit of class - lower limit of class) = (7-6) = 1 Next, we will construct a frequency table to find the modal class:| Class Interval | Frequency ||-------------------|------------|| 2-3 | 1 || 3-4 | 1 || 4-5 | 1 || 5-6 | 2 || 6-7 | 2 || 7-8 | 1 || 9-10 | 1 || 10-11 | 1 || 13-14 | 1 |The modal class is the class with highest frequency.

Here, two classes have frequency 2, so both are modes. They are 5-6 and 6-7.

Therefore, L = 5, F = 2, f = 2, n = 10, and c = 1. Substituting the values, we get:\[f_m = L + \frac{(n/2 - F)}{f} \times c = 5 + \frac{(10/2 - 2)}{2} \times 1 = 7\] Therefore, Fried m = 7.

(c) To find the mode, we look for the value(s) with highest frequency. Here, two values have frequency 2, so both are modes. They are 5 and 6. Therefore, the mode is 5 and 6.

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Answer:

8x^3-10x^2-14x-9

Step-by-step explanation:

Answer:

8x^3 - 10x^2 - 14x - 9

Step-by-step explanation:

The sum of 7 to the 9th power and y is expressed as 7⁹ + y

This statement will result in an exponential equation since we will have a base and an exponent

Hence the sum of 7 to the 9th power and y is expressed as 7⁹ + y

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based on the number of marbles in the bag, the number of marble groups possible is 7,140 groups.

the probability of selecting 2 red and 1 yellow is 1/68.

first, find the number of marbles:

= 7 + 8 + 9 + 7 + 5

= 36

the number of marble groups are:

= 36 ! / (3 ! x 33 !)

= 7,140 groups

the probability of picking 2 red and 1 yellow is:

= (( (7! / (2! x 5!)) x ( ( 5! / (1! x 4!))) / 7,140

= 1 / 68

= 1.47%

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Answer:

13, 67, 29, 17, 19, 23

Step-by-step explanation:

The six prime numbers are 13, 67, 29, 17, 19, and 23.

Any natural number higher than 1 that is not the sum of two smaller natural numbers is referred to be a prime number. A composite number is a natural number greater than one that is not prime.

A number is a numerical unit of measurement and labeling in mathematics. The natural numbers 1, 2, 3, 4, and so on are the first examples. Number words are a linguistic way to express numbers.

Given digits are 1, 2, 3, 4, 5, 6, 7, 8, 9. The prime numbers are:-

Prime number 1 = 13

Prime number 2= 67

Prime number 3= 29

Prime number 4= 17

Prime number 5= 19

Prime number 6= 23

Therefore, the six prime numbers are 13, 67, 29, 17, 19, and 23.

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Answer:

Step-by-step explanation:

A car is rented for $40 per day plus $0.25 per mile driven. The total is $45.50-  40 + 0.25x + 45.50

Karen buys four t-shirts for $45.50. The three red t-shirts each cost 4 times the price of one blue t-shirt.- x + 3(4x) = 45.50

Finn buys a toy boat for $45.50 including tax He was charged 7% sales tax on the original price.- X+0.07% = 45.50

Nick buys a sweater and a jacket for $45.50. The jacket costs 4 times as much as the sweater- 1 X + 4x = 45.50

Step-by-step explanation:

Triangles and the Pythagorean Theorem

(note: Pythagorean means hypotenuse)

hope this helps

Answer:

6

Step-by-step explanation:

Answer: -24x^2+28x

Step-by-step explanation: -4x*6x-(-4x)*7 to -24x^2+28x