What are the roots of the polynomial equation? x² + 7x + 12 = 0 Enter your answers in the boxes. x1= x2=
Two parallel lines are cut by a transversal. Which statements are true for all such cases? Select three that apply.
A.Each pair of vertical angles is congruent.
B.Each pair of corresponding angles is congruent.
C.Each pair of supplementary angles is congruent.
D.Each pair of alternate interior angles is congruent.
In 2010, Josh purchased a house for $110,000. In 2014, the house was valued at $105,000. What is the rate of change for the value per year?
Final answer:
To find the rate of change for the value of Josh's house per year, subtract the initial purchase price from the current value, then divide by the number of years that have passed. The result shows the house's value decreased by $1,250 per year.
Explanation:
To calculate the annual rate of change for the value of Josh's house, you would subtract the final value of the house from the initial value and then divide by the number of years that have elapsed. This calculation gives you the change in value per year. In this case, the initial value of the house in 2010 is $110,000 and the final value in 2014 is $105,000. There are 4 years between 2010 and 2014.
Rate of change per year = (Final Value - Initial Value) / Number of Years
Rate of change per year = ($105,000 - $110,000) / 4
Rate of change per year = (-$5,000) / 4
Rate of change per year = -$1,250
Therefore, the value of Josh's house decreased by $1,250 per year from 2010 to 2014.
Frank’s electric bill has a cycle day of the 3rd and a due date 8 days later with a one day grace period. What happens if Frank pays his electric bill on the 12th of the month?
Frank’s electric bill has a cycle day of the 3rd
And the due date of the bill is 8 days later
that is 3+8 = 11th of that month is the due date
The bill is to be paid by 11th
But 1 day grace period is given
So
11+1
=12
If one pays the bill by 12th of that month , then no penalty will be imposed.
And
Frank pays his electric bill on the 12th of the month
So no penalty will be imposed.
draw and label a figure that has four points two rays and one right angle
Piper bought 5 movie tickets and 1 bottle of water. She spent $28. The water cost $3. How much did each ticket cost. Write an equation to solve the problem and answer the question.
You are a coffee shop owner and want to calculate the usual amount of money made each day, but you know that Fridays bring in more than double the revenue of any other day. Which measure of central tendency should you use?
A. Median
B. Mean
C. Mode
D. Any of the above
Final answer:
A. Median
The median is the most appropriate measure of central tendency for a coffee shop owner to use to calculate the usual daily revenue, as it is not skewed by the unusually high revenue on Fridays.
Explanation:
When considering which measure of central tendency to use for determining the usual amount of money made each day at a coffee shop, where Fridays bring in more than double the revenue of any other day, the best option would be the median. This is because the median is the middle point of the data distribution when the observations are ordered by their numerical values, and it is not affected by extreme values or outliers in the data.
The mean, or average, could be significantly skewed by the higher revenue on Fridays, thus not accurately depicting a typical day. The mode is the most frequently occurring value in the distribution, which may not be applicable to this situation unless you have multiple days with the exact same revenue.
Therefore, the median is most appropriate for this scenario as it is not influenced by the high revenue on Fridays and will provide a better indication of what a typical day's earnings might look like.
In the diagram l//m.You also know that 3=~4 because vertical angles are congruent.Which of the following statement can be used to help show that ABC is similar to EDC
Angle of rotation(including direction of rotation)
a) You want to buy a new sweatshirt. They normally cost 28.80, but you found one that's on sale for 40% off its normal price. How much will you pay, not including tax?
1) $16.18
2) $17.28
3) $18.38
4) $19.48
b) If you get 17 out of 20 questions correct on this test, what percentage will you get correct?
1) 100%
2) 95%
3) 90%
4) 85%
Please help please. Help
Ms. Johnson asked her class to write an equivalent
expression to
14d - 9 + 21k - 7dk + 2.
riley wrote the expression
7dk(2 - 3 - 1) _ 7
ahmad write the expression
7(2d + 3k - dk) - 7
Ariana wrote the expression
7k(2d - 3 - d) - 7
who is correct? explain how you know
Dana has n quarters. Ivan has 2 fewer than 3 times the number of quarters Dana has. The expression n + 3 n−2 gives the number of quarters they have altogether. Which is another way to write this expression?
Select the graph of the solution. Click until the correct graph appears.
|x| = 3
Answer:
First picture
Step-by-step explanation
the graph with the open circle on -3 and 3 and pointing to the opposite to each so -3 the arrow is pointing this way <----- for 3 the arrow is pointing this way ------->
If a number is added to itself and the sum is multipled by 2 , the product is 4
Lucy wants to make different types of cheesecake. Each cheesecake uses 2/3 pound of cream cheese. She has 2 pounds of cream cheese. How many cheesecakes can she make?
What role do plants have in the carbon-oxygen cycle?
a) They release oxygen into the air as a waste product of photosynthesis.
b) They release carbon dioxide into the air as a waste product of photosynthesis.
c) They absorb oxygen from the air to use during photosynthesis.
d) They do not have a role in the carbon-oxygen cycle.
What is the quotient of the complex number 4-3i divided by its conjugate ?
Answer:
Quotient is[tex]\frac{7-24i}{25}[/tex]
Step-by-step explanation:
Given is a complex number as 4-3i
We have to find the quotient when divided by its conjugate
Its conjugate is
[tex]4+3i[/tex]
When divided we have
[tex]\frac{4-3i}{4+3i} =\frac{4-3i}{4+3i} \frac{4-3i}{4-3i}[/tex]
(to simplify the above)
=[tex]\frac{(4-3i)^2}{4^2+3^2} \\=\frac{7-24i}{25}[/tex]
Quotient is [tex]\frac{7-24i}{25}[/tex]
Answer:
7/25 - 24/25i
Step-by-step explanation:
Which inequality's solution is graphed here?
A) 4 < x
B) 4 > x
C) 4 ≤ x
D) 4 ≥ x
Select from the drop-down menu to correctly complete the statement.
Triangle ABC and triangle DEC are
Answer:
Not similar
Step-by-step explanation:
In triangle DEC, using the angle sum property, we get
∠D+∠E+∠C=180°
⇒∠D+15°+94°=180°
⇒∠D=180-109
⇒∠D=71°
Also, from triangle ABC, we have
∠A+∠C+∠B=180°
⇒38°+94°+∠B=180°
⇒∠B=48°
Now, From triangle ABC and CDE, neither the angles nor the sides are similar, therefore the given triangles cannot be similar.
What is the volume of this sphere?
If the function graphed is f(x), find f(1).
A.) -4
B.) - 1/4
C.) 0
D.) 4
***
Is it C.) 0 ???
Ms.Sherman is preparing 5 5/8 cups of rice for a family reunion, she plans to use 1/4 of a cup for each serving. How many servings of rice is Ms.Sherman preparing
1. The lengths, in centimeters, of nine earthworms are shown below.
3, 4, 5, 5, 6, 7, 8, 9, 10
What is the median of the data?
A)5
B)6
C)7
D)8
2. Which measure of central tendency is MOST EASILY affected by outliers?
A) mean
B) median
C) mode
D) IQR
3. The math test scores of Mrs. Hunter's class are shown below.
48, 56, 68, 72, 72, 78, 78, 80, 82, 84, 88, 88, 88, 90, 94, 98, 100
What is the range of the scores?
A) 44
B) 52
C) 54
D) 62
4. The heights (in inches) of 13 plants are 6, 9, 10, 10, 10, 11, 11, 12, 12, 13, 14, 16, and 17.
What is the interquartile range of this data set?
A) 3.5
B) 6
C) 10.5
D) 11
A kilometer is more than one half a mile true or false!
what can you conclude about the equations y=5/4x-10 and 5x-4y=40
a rectangular photograph is 4 inches wide and 6 inches long. The photograph is enlarged by increasing the length and width by an equal amount. If the area of the new photograph is twice as large as the oringinal area, what are the dimensions of the new photograph?
What is the slope of the line of best-fit in the scatterplot below?
9/27
3/7
7/3
27/9
Answer:
Option C is correct
7/3
Step-by-step explanation:
Formula for slope is given by':
[tex]\text{Slope} = \frac{y_2-y_1}{x_2-x_1}[/tex] ....[1]
As per the statement:
The graph shows the best fit line scatter-plot.
Consider two points i.e
(3,12) and (6, 19)
Substitute these points in [1] we have;
[tex]\text{Slope} = \frac{19-12}{6-3}[/tex]
⇒[tex]\text{Slope} = \frac{7}{3}[/tex]
Therefore, the slope of the line of best-fit in the scatter plot is, 7/3
Amber completed a 25-kilometer road race in 3 hours. She ran at the same speed and covered the same distance each hour. Between which 2 whole numbers does the distance she ran each hour lie? Draw a visual model to find the distance she ran each hour.
You don’t have to do the last part but it’d be great if you did
The distance she ran each hour is between 8 and 9
How to determine the whole numbers?The distance is given as:
Distance = 25 km
The time is given as:
Time = 3 hours
The speed is then calculated as:
Speed = Distance/Time
So, we have:
Speed = 25km/3 hours
Divide
Speed = 8.33 km/hr
8.33 is between 8 and 9
Hence, the distance she ran each hour is between 8 and 9
Read more about speed at:
https://brainly.com/question/4931057
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