3. Describe the process of memorizing the coordinate points for the first quadrant?
Answers
To memorize the points in the first quadrant we only need to remember that both coordinates on the point have to be positive.
Related Questions
What are the solutions to the equation x-7/x=6?
x= -7 and x = 1
x= -6 and x = -1
x = -1 and x = 7
0 x = 1 and x = 6
Answers
Answer:
i think it's x=-1 and x=7
Jackie and Rachel both worked during last summer and made $960 each. Rachel worked 16 hours more than Jackie, but Rachel earned $2 less per hour. How many hours did Jackie work?
Answers
Answer:
The number of hours Jackie worked = 80hours
Step-by-step explanation:
Last summer:
Jackie made $960
Rachel made $960
let number of hours Jackie worked = x
Rachel worked 16 hours more than Jackie:
Number of hours Rachel worked = x + 16
if Jackie earned $y per hour
Rachel earned $2 less per hour = y-2
Jackie: 960 = x × y = xy
Rachel: 960 = (x+16)(y-2)
960 = xy -2x +16y -32
recall xy = 960, insert the value for xy
960 = 960 - 2x +16y -32
- 2x +16y -32 = 0
2x -16y = -32
x-8y = -16
x = 8y-16
recall xy = 960, insert the expression for x
(8y-16)y = 960
8y² -16y = 960
y² -2y - 120 = 0
y²+10y-12y -120 = 0
y(y+10) -12(y+10) = 0
(y-12) = 0 or (y+10) = 0
y = 12 or -10
since y can't be negative, y = 12
x = 8y-16
x = 8(12) -16 = 80
The number of hours Jackie worked = x = 80 hours
Select all that apply. Which of the following name an angle in the drawing? ACB CDE ECB BDA
Answers
Answer:
ecb and acb
Step-by-step explanation:
Jamal's deck is in the shape of a polygon and is shown on the grid below.What is the area of Jamal's deck?
Answers
Area = 140 square units
Explanations:The deck is rectangular in shape because the opposite sides are equal
Area of a rectangle = Length x Width
The length is the distance separating the points (-8, 6) and (6, 6)
\(\begin{gathered} Length\text{ = }\sqrt[]{(x_2-x_1)^2+(y_2-y_1)^2} \\ \text{Length = }\sqrt[]{(6-(-8))^2+(6-6)^2_{}} \\ \text{Length = }\sqrt[]{(6+8)^2} \\ \text{Length = 14 units} \end{gathered}\)The width is the distance separating the points (-8, 6) and (-8, -4)
\(\begin{gathered} \text{Width = }\sqrt[]{(x_2-x_1)^2+(y_2-y_1)^2} \\ \text{Width = }\sqrt[]{(-8-(-8))^2+(-4-6)^2} \\ \text{Width = }\sqrt[]{0^2+(-10)^2} \\ \text{Width = }\sqrt[]{100} \\ \text{Width = 10 units} \end{gathered}\)Area = Length x Width
Area = 14 units x 10 units
Area = 140 square units
Simplify using the order of operations. 2+6*8=
Answers
Answer:
The answer is 50.
Step-by-step explanation:
Use MDAS
Multiplication, Division, Addition and Subtraction
2 + 6 * 8 =
Multiply first then add
2 + 6*8 = ?
= 2 + 48
= 50
What is the solution for inequality on the model
Answers
Answer:
option 1 is correct. that is the answer
For problems 3 and 4, find the missing side of the triangle. Leave answers in simplest radical form.
Answers
Answer: 3. 4\(\sqrt{13}\) 4. \(\sqrt{225}\)
Step-by-step explanation:
8^2 + 12^3 = c^2
64 + 144 = c^2
208 = c^2
√208
\(4\sqrt{13}\)
The final answer is the square root of 208
8^2 + b^2 = 17^2
64 + b^2 = 289
-64 64
b^2 = 225
\(\sqrt{225}\)
The image shows a geometric representation of the function f(x) = x2 – 2x – 6 written in standard form.
Answers
This function written in vertex form include the following: A. f(x) = (x –1)² – 7.
How to determine the axis of symmetry and vertex of a quadratic function?In Mathematics, the axis of symmetry of a quadratic function can be calculated by using this mathematical equation:
Axis of symmetry = -b/2a
Where:
a and b represents the coefficients of the first and second term in the quadratic function.
For the given quadratic function f(x) = x² – 2x – 6, we have:
a = 1, b = -2, and c = -6
Axis of symmetry, Xmax = -b/2a
Axis of symmetry, Xmax = -(-2)/2(1)
Axis of symmetry, Xmax = 2/2
Axis of symmetry, Xmax = 1.
Next, we would determine vertex as follows;
f(x) = x² – 2x – 6
f(x) = 1² – 2(1) – 6
f(x) = -7.
Now, we can write quadratic function in vertex form;
f(x) = a(x - h)² + k
f(x) = (x - 1)² - 7
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Complete Question:
The image shows a geometric representation of the function f(x) = x² – 2x – 6 written in standard form.
What is this function written in vertex form?
f(x) = (x –1)² – 7
f(x) = (x +1)² – 7
f(x) = (x –1)² – 5
f(x) = (x +1)² – 5
Eric walked 1.5 miles on a trail, and then he started jogging at a speed of 5 miles per hour. The total distance Eric walked and jogged is 5.25 miles. How long did he jog?
Answers
Eric jogs for 45 minutes.
What is speed?Speed is measured as the ratio of distance to the time in which the distance was covered.
We have,
Eric walked and jogged and the total distance combined:
= 5.25 miles
Distance walked = 1.5 miles
The distance jogged:
= 5.25 - 1.5
= 3.75 miles
Now,
Speed = 5 miles per hour
We can write it as:
1 hour = 5 miles
We need to find 3.75 miles.
Multiply 3.75/5 on both sides.
(3.75 / 5) x 1 hours = 3.75 miles
0.75 hour = 3.75 miles.
This means 45 minutes to jog for 3.75 miles.
Thus Eric jogs for 45 minutes.
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The following figure is a rectangle. The length of segment AE is 12. What is 2 points
the length of segment BC?
B
12
Answers
Answer:
its 24
Step-by-step explanation:
all the sides are equal.... btw dont download the link its a virus he is a bot
7. Suppose that the discriminating monopolist has the demand functions
P_{1} = 200 - 2Q_{1}; P_{2} = 180 - 4Q_{2} and that the cost function is C = 20(Q_{1} + Q_{2}) .
a) How much should be sold in the 2 markets to maximise profits?
b) What are the corresponding prices?
c) How much profit is lost if it becomes illegal to discriminate?
12 marks]
12 marks]
16 marks]
d) Discuss the consequences of the imposition of a tax of 5 per unit sold in market 1 by
Answers
a) To maximize profits, 10 units should be sold in market 1 and 5 units in market 2.
b) The corresponding prices are $180 in market 1 and $160 in market 2.
c) If it becomes illegal to discriminate, the profit loss is $50.
d) The imposition of a tax of $5 per unit sold in market 1 would likely decrease the monopolist's profit and potentially lead to adjustments in prices and quantities sold in both markets.
a) To maximize profits, the monopolist should set marginal revenue equal to marginal cost in each market.
In this case, marginal revenue is equal to the derivative of the demand function with respect to quantity, and it can be calculated as MR = dP/dQ.
For market 1:
MR₁ = dP₁/dQ₁ = -2
For market 2:
MR₂ = dP₂/dQ₂ = -4
Setting MR equal to marginal cost, which is the derivative of the cost function with respect to quantity, gives:
MR₁ = -2 = dC/dQ₁ = 20
MR₂ = -4 = dC/dQ₂ = 20
Solving these equations, we find:
Q₁ = 10
Q₂ = 5
Therefore, the monopolist should sell 10 units in market 1 and 5 units in market 2 to maximize profits.
b) To determine the corresponding prices, we substitute the quantities obtained in part (a) into the demand functions:
For market 1:
P₁ = 200 - 2Q₁ = 200 - 2(10) = 180
For market 2:
P₂ = 180 - 4Q₂ = 180 - 4(5) = 160
Therefore, the corresponding prices are $180 in market 1 and $160 in market 2.
c) To calculate the profit lost if it becomes illegal to discriminate, we need to compare the profits under discrimination with the profits under non-discrimination.
Under discrimination, the monopolist charges different prices in each market, while under non-discrimination, the same price is charged in both markets.
Under discrimination:
Profit = Total revenue - Total cost
For market 1:
Total revenue₁ = P₁ \(\times\) Q₁ = 180 \(\times\) 10 = $1
For market 2:
Total revenue₂ = P₂ \(\times\) Q₂ = 160 \(\times\) 5 = $800
Total revenue = Total revenue₁ + Total revenue₂ = $1800 + $800 = $2600
Total cost = C = 20(Q₁ + Q₂) = 20(10 + 5) = $300
Profit = Total revenue - Total cost = $2600 - $300 = $2300
Under non-discrimination:
Since the same price is charged in both markets, we take the average price:
Average price = (P₁ + P₂) / 2 = (180 + 160) / 2 = $170
Total revenue = Average price \(\times\) (Q₁ + Q₂) = $170 \(\times\) (10 + 5) = $2550
Total cost remains the same at $300.
Profit = Total revenue - Total cost = $2550 - $300 = $2250
Therefore, the profit lost if discrimination becomes illegal is $2300 - $2250 = $50.
d) The imposition of a tax of $5 per unit sold in market 1 would increase the cost per unit for the monopolist.
This would affect the profit-maximizing quantity in market 1 and potentially lead to a change in prices.
The monopolist would compare the new marginal cost, which includes the tax, with the marginal revenue to determine the new profit-maximizing quantities and prices.
The tax would likely reduce the monopolist's profits and could potentially result in adjustments in production and pricing strategies.
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2+2=
a. 3
b. 5
c. 4
d. 7
Answers
Answer:
C
Step-by-step explanation:
2
+2
-----
4
Help! ASAP!! figure rst on the graph is reflected over the y axis creating figure r's't'. figure r's't' is translated down 2 units and left 1 unit creating r"s"t". tyler knows rst = r's't' because reflections produce congruent figures. he also knows that r's't' = r"s"t" because translations produce congruent figures. what can tyler determine based on these two statements? check all that apply. 1. RST = R’’S’’T’’
2. RS = ST = TR
3. R = S = T
4. R = R’ = R’’
5. TS = T’S’ = T’’S’’
Answers
Reflections and translations do not guarantee that all corresponding sides of the figures will be equal.
What is translation and reflection?
The translation is when we slide a figure in any direction. Reflection is when we flip a figure over a line.
Based on these two statements, Tyler can determine the following:
1. RST = R’’S’’T’’
4. R = R’ = R’’
5. TS = T’S’ = T’’S’’
Tyler cannot determine that RS = ST = TR, because reflections and translations do not necessarily produce congruent figures. Similarly, Tyler cannot determine that R = S = T, because reflections and translations do not guarantee that all corresponding sides of the figures will be equal.
Hence, Reflections and translations do not guarantee that all corresponding sides of the figures will be equal.
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2.704 times 1000=???
Answers
Answer:
2.704 times 1000
2.704*1000
(in multiplication the decimal place goes right side to the digit)
So in =2.704,*1000
=2704
If you are helped with my answer pls tag me brianliest I really want it... Plzz
THANK You....
Please help, thanks!
Answers
The change in function values is f(40) - f(10) = 49 - 55 = -6.
The change in x-values is 40 - 10 = 30.
Therefore, the average rate of change is -6/30, which simplifies to -1/5.
The average rate of change of the function over the interval 10 < x ≤ 40 is -1/5.
13. A florist uses 56 roses to make 4 identicalfloral arrangements. At this rate, how manyroses would the Florist use to create 36identical arrangements?Record your answer. Be sure to use thecorrect place value.0000.00+/-
Answers
Answer:
504 roses
Explanation:
\(\begin{gathered} 4\text{ identical arrangement are made using 56 roses} \\ 1\text{ identical arrangement is made using }\frac{\text{56}}{4}=14\text{ roses} \\ \text{Therefore:} \\ 36\text{ identical arrangement are made using 36}\times14=504\text{ roses} \end{gathered}\)6. Please show work pamdas
Answers
Answer:
189
Step-by-step explanation:
189 hshwhwjwowoqoqooqpqp
What is the additive inverse of -7.5? *
Answers
Answer:
Step-by-step explanation:
In mathematics, the additive inverse of a number a is the number that, when added to a yields zero. This operation is also known as the opposite (number), sign change, and negation.
c. When the center of Earth is 2 x 10^11meters from the center of Mars, the force of gravity
between the two planets is about 64.32 x 10^14 newtons. The mass of Earth is about
6 x 10^24 kilograms, and the mass of Mars is about 6.4 x 10^23 kilograms. Using these
values, estimate the gravitational constant.
Answers
Answer:
When the center of Earth is 2 × 1011 meters from the center of Mars, the force of gravity between the two planets is about 64.32 × 1014 newtons. The mass of Earth is about 6 × 1024 kilograms, and the mass of Mars is about 6.4 × 1023 kilograms. Using these values, estimate the gravitational constant.
4.2 7 5 7 = 3 1 9 d
help me find what D is!!!!!!!!!!!!!!!!!!!!!!
Answers
Answer:74.6076665809
Step-by-step explanation:
Giving a test to a group of students, the grades and gender are summarized below A B C Total Male 5 4 2 11 Female 15 12 20 47 Total 20 16 22 58 If one student is chosen at random, Find the probability that the student was male OR got a(n) "A". (Please enter a reduced fraction.)
Answers
The probability that the student chosen at random was male OR got an "A" is 31/58.
How to solve for the probabilityTo find the probability that the student was male OR got an "A," we need to calculate the probability of each event separately and then add them together.
Let's calculate the probability of the student being male:
Total number of males = 11
Total number of students = 58
Probability of the student being male = Number of males / Total number of students = 11/58
Now, let's calculate the probability of the student getting an "A":
Total number of students who got an "A" = 20
Probability of the student getting an "A" = Number of students who got an "A" / Total number of students = 20/58
To find the probability of the student being male OR getting an "A," we add the two probabilities together:
Probability (Male OR A) = Probability (Male) + Probability (A) = 11/58 + 20/58 = 31/58
Therefore, the probability that the student chosen at random was male OR got an "A" is 31/58.
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Order the values from least (on top) to greatest (on bottom).
64%
0.65
5/8
Answers
Convert them all into decimals. Percent is just 0.--, and the fraction you can calculate out which gives: 0.625=5/8,0.64=64%
5/8
64%
0.65
PLEASE HELP ASAP THANK YOU!
Answers
Answer:
D
Step-by-step explanation:
8.42×1000=8420 which is between 8400 and 8500
Answer:
the answer would be D
Step-by-step explanation:
8.42 x 10^3 = 8420
Find the unknown length y in the following pair of the similar triangles.
Answers
Answer:
y = 9.75
Step-by-step explanation:
Since both triangles are said to be similar, the proportion or ratio of the sides of both triangles would be equal.
Therefore, 39/y = 23/5.75 = 35/8.75
Let's find y
39/y = 23/5.75
==>Cross multiply
39*5.75 = 23*y
224.25 = 23y
==>Divide both sides by 23
224.25/23 = y
9.75 = y
y = 9.75
Check:
Thus,
39/9.75 = 23/5.75 = 35/8.75 = 4
Our answer y, which is 9.75, is correct.
The 2000 CDC growth charts were developed using a reference population of infants. A pediatrician looks up one of the charts and finds that the 5th percentile for weights of baby boys at 10-1/2 months is 16.7 pounds. This means that ______of the 10-1/2-month-old baby boys in the reference population weigh 16.7 pounds or less, and ______of these baby boys weigh 16.7 pounds or more.
Answers
This means that 5% of the 10-1/2-month-old baby boys in the reference population weigh 16.7 pounds or less, and 95% of these baby boys weigh 16.7 pounds or more.
Percentile WeightThe determination is based on the definition of a percentile. A percentile is a value below which a certain percentage of the data falls. So, in this case, if a weight of 16.7 pounds is at the 5th percentile for 10-1/2-month-old baby boys, then 5% of the baby boys in the reference population have a weight of 16.7 pounds or less. This also means that the remaining 95% of the baby boys in the reference population have a weight of more than 16.7 pounds.
The calculation of percentiles is based on the ranking of the data set. The data is first sorted in ascending order and then divided into 100 equal parts, with each part representing a percentile. The value at each percentile is the value below which a certain percentage of the data falls.
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Create a problem in which you add three different five digit numbers to get a sum of 93852
?+?+? =93,852
Answers
Answer:
50,000+30,000+13852=93,852
HELP ME ITS DUE TODAY!!!!! The scores earned in a flower-growing competition are represented in the stem-and-leaf plot.
1 7, 9
2 1, 5, 9
3 0, 1, 2
4 6, 9
Key: 2|1 means 21
What is the appropriate measure of variability for the data shown, and what is its value?
The IQR is the best measure of variability, and it equals 32.
The range is the best measure of variability, and it equals 11.
The IQR is the best measure of variability, and it equals 11.
The range is the best measure of variability, and it equals 32.
Answers
Answer:
The answer to your problem is, D. The range is the best measure of variability, and it equals 32.
Step-by-step explanation:
We know the scores earned in a flower-growing competition are represented in the stem-and-leaf plot.
1 7, 92 1, 5, 93 0, 1, 24 6, 9The key will equal 2|1 means 21
Which we conclude to 17, 19, 21, 25, 29, 30, 31, 32, 46, 49.
Quartile:
Quartile 1, Q1 = 21Quartile 2, Q2 = 29.5Quartile 3, Q3 = 32Third Quartile, Q3 = 32Median, Minimum, Maximum, & Range:
Median, Q2 = 29.5Minimum, Min = 17Maximum, Max = 49Range, R = 32Thus the answer to your problem is, D. The range is the best measure of variability, and it equals 32.
QUICK HELP PLS!! Tell all steps :) 100 POINTS!!
The two triangles above are similar.
Find x using the ratio of the sides 12 cm and 16 cm:
x
20
=
12
16
. Show your work.
Find x using the ratio of the sides 6 cm and 8 cm. Show your work.
Explain why the answers to (a) and (b) should be the same.
Answers
a. Using the ratio of the sides 12 cm and 16 cm
x/20 = 12/16
x = (12(20)) / 16 = 15
b. Using the ratio of the sides 6 cm and 8 cm
x/20 = 6/8
x = (6(20)) / 8 = 15
c. The answer is the same since the ratio 12/16 and 6/8 is both equal to ¾.
Hope this answer will be a good help for you.
PLS HELP ASAP! Which statement is true about the ratios comparing the width and length of each
The paintings' width to length ratios are equal because the ratio 9 to 6 is equal to the ratio 2 to 3.
The paintings' width to length ratios are different because the ratio 3 to 2 is not equal to 9 to 6.
The paintings' width to length ratios are equal because the ratio 6 to 9 is equal to the ratio 2 to 3.
The paintings' width to length ratios are different because the ratio 6 to 9 is not equal to 2 to 3.
Answers
The paintings' width-to-length ratios are different because the ratio 3 to 2 is not equal to 9 to 6. The correct option is B.
What are ratios and proportions?An ordered pair of numbers a and b, represented as a / b, is a ratio if b is not equal to 0. A proportion is an equation that sets two ratios at the same value. The numerical relationship between two values demonstrates how frequently one value contains or is contained within another.
Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.
The width-to-length ratios of the paintings differ because 3 to 2 is not equal to 9 to 6.
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Write 3 1/2 cups as a multiplication expression using the unit, 1 cup, as a factor.
I ABSOLUTELY NEED HELP BY TOMORROW!!! I AM GIVING 100 POINTS
Answers
3 1/2 cups can be expressed as the multiplication expression: 3 + 1/2.
How to Write 3 1/2 cups as a multiplication expression using the unit, 1 cup, as a factor.To express 3 1/2 cups as a multiplication expression using the unit "1 cup" as a factor, you can write it as:
3 1/2 cups = (3 + 1/2) cups = 3 cups + 1/2 cup
Since there are 1 cup in each term, we can rewrite it as:
3 cups + (1/2) cup
Now, we can express each term as a multiplication expression:
3 cups = 3 * 1 cup = 3
(1/2) cup = (1/2) * 1 cup = 1/2
Putting it all together, the multiplication expression is:
3 * 1 cup + (1/2) * 1 cup = 3 + 1/2
Therefore, 3 1/2 cups can be expressed as the multiplication expression: 3 + 1/2.
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