The quadrant of the coordinate graph does point F lie in quadrant IV.
What is Quadrant in Graph?The coordinate system's two axes, the x-axis and the y-axis, constitute a region called a quadrant.
The quadrants are generated when the two axes, the x-axis and the y-axis, cross at a 90-degree angle. These areas include coordinates, or positive and negative values of the x- and y-axes.
The sign notations for four Quadrants is as follows:
Quadrant I :
both x and y positive.
Quadrant II :
x negative and y positive
Quadrant III:
x and y both negative.
Quadrant IV:
x positive and y negative.
As, the point F has coordinates (1,-5) which shows x is positive and y is negative.
So, point F is in quadrant IV.
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The measure of an exterior angle of a regular polygon is 15 degrees. What is the sum of the measures of the interior angles of the polygon
It is 360 degrees!
You can see because it is math and yeah..
At a hardware store, a tool set normally costs $80. During a sale this week, the tool set costs $12 less than usual. What percentage of the usual price is the saving? Explain or show your reasoning.
Ray is x years old. His brother Ron is y years older than Ray.
How old will Ron be in 2 years?
Ray is years old.
Ron is years old.
In 2 years, Ron will be two years older than now, so years old.
PLEASE HELP, NEEDS TO BE COMPLETED TODAY!
Drag the system of equation to the point that represents the solution to the system.
Suppose g(x)=f(2x) when f(x)=x^2-4x-5. Find the standard expression for g(x).
Please show steps.
What is the value of the expression shown below?
3 over 5 to the power of 2 + 4 × 3 − 2
10 and 9 over 25
11 and 2 over 25
12 and 9 over 25
13 and 2 over 25
Answer:
[tex]10\frac{9}{25}[/tex]
Step-by-step explanation:
[tex](\frac{3}{5})^2 + 4 * 3 - 2[/tex]
Simplify the given expression
WE use order of operation PEMDAS
Parenthesis, exponents, multiply , divide , add and subtract
LEts start with parenthesis
[tex](\frac{9}{25})+ 4 * 3 - 2[/tex]
now we multiply
[tex](\frac{9}{25})+12 - 2[/tex]
now subtract 2
[tex](\frac{9}{25})+10[/tex]
This can be written as [tex]10\frac{9}{25}[/tex]
0.5 as a repeating decimal to a fraction
show your work
also 0.7 as a repeating decimal to a fraction
show your work
The decimal 0.5 converts to the fraction 1/2 and the decimal 0.7 converts to the fraction 7/10.
Explanation:To convert the decimal 0.5 and 0.7 into fractions, we use the definition of a decimal. A decimal is a representation of a fraction in terms where we have a power of 10 in the denominator. For instance:
To convert 0.5 into a fraction, we can think of it as 0.5/1 which equals to 5/10 or simplifies to 1/2. Converting 0.7 into a fraction, would give us 0.7/1 which is equal to 7/10.
So, 0.5 as a decimal is 1/2 as a fraction and 0.7 as a decimal is 7/10 as a fraction.
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A circle has an area of 49•3.14 square units. What is the diameter of the circle?
A formula is expressed as d=a(2+kt). Express k in terms of d, a and t
Answer:
[tex]k=\frac{d}{ta}-\frac{2}{t}[/tex]
Step-by-step explanation:
d=a(2+kt)
WE need to solve for k. our aim is to get K alone
d= a(2+kt)
To eliminate 'a' we divide by 'a' on both sides
[tex]\frac{d}{a} = 2+ kt[/tex]
To eliminte 2 we subtract 2 on both sides
[tex]\frac{d}{a}-2 =kt[/tex]
Now to isolate K we divide by 't' on both sides
When we divide a fraction by 't' then we multiply 't' at the bottom
[tex]\frac{d}{ta}-\frac{2}{t}=k[/tex]
Write an equivalent expression for 1/y^-1/4 using positive exponents
Answer:
The required exponent is [tex]y^{\frac{1}{4}}[/tex]
Step-by-step explanation:
Consider the provided expression.
[tex]\frac{1}{y^{-\frac{1}{4}}}[/tex]
We need to write the above expression into positive exponent form.
Now apply the exponent rule: [tex]\frac{1}{a^{-b}}=a^b[/tex]
By using the above rule we can rewrite the above expression as shown:
[tex]\frac{1}{y^{-\frac{1}{4}}}=y^{\frac{1}{4}}[/tex]
Hence, the required exponent is [tex]y^{\frac{1}{4}}[/tex]
What is the value of X in the figure
Label the percent bar below with the appropriate estimations.
Answer:
it was 25%
Step-by-step explanation:
Find the surface area of each triangular prism
Two angles are complementary angles. What is the mean of the complementary angles?
PLZZZZZZZZZHELP HURRY!!! What is the difference (2x-3) - (x- 1)
x-4
x-2
x+2
x+4
in your sock drawer, you have 20 socks. You have two pairs of patterned socks, 4 pairs of gym socks, three pairs of striped socks, and one pair of black socks. What is the probability that you randomly pull a gym sock from the drawer? What are the odds?
when she got to school she saw that the school has nine buildings each having 30 classrooms how many classrooms does the school have
Jessique sells handbag for $50 each she spends $4 per handbag for materials and $1000 to rent a store each month write an expression that shows how much profit jessique will earn in 1 month if she sells x amount of handbags
Answer:
The expression that shows how much profit Jessique will earn in
1 month is ⇒ Profit = 46x - 1000
Step-by-step explanation:
* Lets revise the relation between selling price , cost price and profit
- Profit is the difference between the selling price and the cost price
- Profit = selling price - cost price
- Jessique sells handbag for $50 each
- The selling price of each handbag is $50
- She spends $4 per handbag for materials
- She spends $1000 to rent a store each month
- She sells x amount of handbags in one month
* Lets calculate the cost price of the x handbags in 1 month
∵ She spends $4 per handbag for materials
∴ She spends on the materials of x handbag = 4 × x = 4x
∵ She spends $1000 to rent a store each month
∴ The cost price of x handbags in 1 month = 4x + 1000
∵ She sells x handbags in 1 month
∵ The selling price of 1 handbag is $50
∴ The selling price of x handbags in 1 month = 50 × x = 50x
∵ Profit = selling price - cost price
∴ Profit = 50x - (4x + 1000) ⇒ multiply the bracket by (-)
∴ Profit = 50x - 4x - 1000 ⇒ add like terms
∴ Profit = 46x - 1000
* The expression that shows how much profit Jessique will earn in
1 month is Profit = 46x - 1000
Final answer:
Jessique's profit for selling x handbags in one month is represented by the expression 46x - 1000, where x is the number of handbags sold.
Explanation:
Jessique sells handbags for $50 each. She spends $4 per handbag for materials and $1000 to rent a store each month. To calculate Jessique's profit for selling x handbags in a month, you would subtract both the materials cost and the fixed store rent from her total sales.
The total sales from x handbags is $50 times x, or $50x. The cost of materials for x handbags is $4 times x, or $4x. The fixed store rent is $1000 every month, regardless of how many handbags are sold.
Therefore, to find her profit, the expression is:
Profit = Total Sales - Materials Cost - Fixed Rent
Profit = (50x) - (4x) - 1000
Simplifying this expression, her profit for x handbags in a month would be:
Profit = 46x - 1000
Noshi ordered a new desk for her office. The desk came in two parts, each shaped like a trapezoid. The height of both part A and part B is 3 feet. Noshi wants to be sure the desk will fit in her office so she calculates the area of the desk. What is the total area of the desk?
Answer:
39 ft
Step-by-step explanation:
The back-to-back stem-and-leaf plot below shows the ages of patients seen by two doctors in a family clinic in one day. Compare the ages of the patients of doctor 1 and doctor 2 using the mean and the median of each data set. Doctor 1 Doctor 2 | 3 | 5 9 2 0 | 2 | 0 0 2 3 6 8 7 5 | 1 | 3 7 9 7 3 2 1 1| 0 | 2 2 3 9 Key: means 29 9|2|3 means 23
I don't quite know how to do this, so if someone could guide me through it that would be nice..!
Answer:
The mean of the ages of Doctor 1's patients is 13.54 and the median is 15. The mean of the ages of Doctor 2's patients is 16 and the median is 19.
Step-by-step explanation:
Jackson is playing a video game that has 3 castles to conquer within each level. Jackson has completed 5 levels so far. If x represents the number of remaining levels to complete, which of the following equations can be used to find the total number of castles Jackson will have conquered once he completes the final level?
The equation to find the total number of castles conquered by Jackson is 15 + 3x, where x represents the remaining levels. Jackson has conquered 15 castles in 5 levels and will conquer 3 more for each additional level he completes.
Explanation:The question relates to creating an equation to find the total number of castles Jackson will have conquered after completing all levels in a video game. Jackson has completed 5 levels, and there are 3 castles within each level. If x represents the remaining levels to complete, we can create the equation by considering the total number of castles conquered in the levels completed (5 levels × 3 castles/level = 15 castles) and adding it to the castles that will be conquered in the remaining levels (x levels × 3 castles/level). The equation representing the total number of castles Jackson will have conquered once he completes the final level is:
Total castles = (5 × 3) + (x × 3) = 15 + 3x
As a separate example unrelated to Jackson's equation, there is the classical problem involving grains of rice and a chessboard that demonstrates exponential growth. In this example, one grain of rice is placed on the first square of a chessboard, and the number of grains is doubled on each subsequent square. By the 64th square, you are placing a very large number of grains, and the total number minus one grain would be 264 - 1. However, the actual number of grains needed is a separate calculation from the equation for Jackson's video game question.
what property is 6x + (9+3x) in? A. Distributive B. Combine like terms C. Associative property of addition D. Commutative property of addition
The expression can be simplified using the distributive property, but it is not in its simplest form, Option A is correct.
What is Expression?An expression is combination of variables, numbers and operators.
The expression 6x + (9+3x) is in the distributive property.
To see why, we can apply the distributive property of multiplication over addition, which states that a(b + c) = ab + ac. In this case, we have:
6x + (9+3x) = 6x + 9 + 3x
Here, the expression 6x is being distributed over the parentheses, which contain 9 and 3x. We can combine the constants 6x and 9, as well as the like terms 6x and 3x, using the commutative and associative properties of addition:
6x + 9 + 3x
= 6x + 3x + 9
= (6x + 3x) + 9
= 9x + 9
So, the expression can be simplified using the distributive property, but it is not in its simplest form.
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The table shows the results of two surveys that randomly sampled 50 families about their preferred ways to travel to a vacation destination.
Plane Car Bus Total
Survey 1 17 27 6 50
Survey 2 21 20 9 50
Which statement can be made about families' preferred ways to travel to a vacation destination based on the information in the surveys?
A)Families prefer to ride the bus when traveling on vacation.
B) More families prefer to travel by car on vacation than by bus.
C) Families prefer to ride the bus over flying when traveling on vacation.
D) Most families fly when going on vacation
PLEASEEEEEEEEEE HELP ME OUT SOMEONE 22 PTS AND I WILL GIVE YOU THE BRAINLEST
Answer:
B) More families prefer to travel by car on vacation than by bus
I need help finding the area
Thanks in advance
The perimeter of the base of the regular quadrilateral pyramid is P = 30 cm. Find the sum of all edges of this pyramid, if the perimeter of a lateral face is 27.5 cm
The sum of all edges of the regular quadrilateral pyramid depends on the length of the base edges and the height of the pyramid.
Explanation:To find the sum of all edges of the regular quadrilateral pyramid, we need to find the length of the edges. Let's denote the length of the edge of the base by 'a'. Since the base of the pyramid is a regular quadrilateral, all its sides are equal. Therefore, the perimeter of the base is given by P = 4a = 30 cm.
Dividing both sides of the equation by 4, we get a = 7.5 cm.
Since the perimeter of a lateral face is 27.5 cm, the length of each lateral edge is equal to the height of the pyramid. Therefore, the sum of all edges of the pyramid is 4a + 4h, where 'h' is the height of the pyramid.
So, the sum of all edges is 4(7.5 cm) + 4h = 30 cm + 4h.
Jada has picked 1 cup of strawberries for a cake, which is enough for 3/4 of the cake. How many cups does she need for the whole cake?
The rest of the students in the play are from Mr. Logan’s class and Ms. Gardner’s class.
Mr. Logan has 23 students in his class, and 7 of them are in the play. There are 4 more students from Ms. Gardner’s class than from Mrs. Cho’s class in the play.
The number of students in the play from Mr. Logan’s class is greater than the number from Mrs. Cho’s class and fewer than the number from Ms. Gardner’s class.
In all, 30% of the students in these three classes are in the play.
Show or explain why there must be exactly 23 students in Ms. Gardner’s class. As part of the explanation, determine how many students from Ms. Gardner’s class are in the play.
There should be 23 students from Ms. Gardner’s class in the play.
To determine why there must be exactly 23 students in Ms. Gardner's class and to find out how many students from Ms. Gardner's class are in the play, let's break down the problem step-by-step.
Define Variables:- Let L be the number of students in Mr. Logan's class.
- Let G be the number of students in Ms. Gardner's class.
- Let C be the number of students in Mrs. Cho's class.
- Let [tex]P_L[/tex] be the number of students from Mr. Logan's class in the play.
- Let [tex]P_G[/tex] be the number of students from Ms. Gardner's class in the play.
- Let [tex]P_C[/tex] be the number of students from Mrs. Cho's class in the play.
Given Information:- L = 23
- [tex]P_L[/tex] = 7
- There are 4 more students from Ms. Gardner's class in the play than from Mrs. Cho's class: [tex]P_G[/tex] = [tex]P_C[/tex] + 4
[tex]P_G[/tex]
- The number of students in the play from Mr. Logan's class is greater than the number from Mrs. Cho's class and fewer than the number from Ms. Gardner's class: [tex]P_C[/tex] < 7 < [tex]P_G[/tex]
- 30% of the students in these three classes are in the play.
Calculate Total Students and Students in the Play:- Total students in these three classes: L + G + C
- Total students in the play: [tex]P_L[/tex] + [tex]P_G[/tex] + [tex]P_C[/tex]
30% of the Students are in the Play:
- 0.30 (L + G + C) = [tex]P_L[/tex] + [tex]P_G[/tex] + [tex]P_C[/tex]
Substitute L = 23 and [tex]P_L[/tex] = 7:0.30 (23 + G + C) = 7 + [tex]P_G[/tex] + [tex]P_C[/tex]
Using [tex]P_G[/tex] = [tex]P_C[/tex] + 4 :
0.30 (23 + G + C) = 7 + ([tex]P_C[/tex] + 4) + [tex]P_C[/tex]
0.30 (23 + G + C) = 7 + [tex]P_C[/tex] + 4 + [tex]P_C[/tex]
0.30 (23 + G + C) = 11 + 2[tex]P_C[/tex]
Simplify the equation:0.30 (23 + G + C) = 11 + 2[tex]P_C[/tex]
0.30 × 23 + 0.30G + 0.30C = 11 + 2[tex]P_C[/tex]
6.9 + 0.30G + 0.30C = 11 + 2[tex]P_C[/tex]
Rearrange the equation:0.30G + 0.30C = 11 + 2[tex]P_C[/tex] - 6.9
0.30G + 0.30C = 4.1 + 2[tex]P_C[/tex]
Divide by 0.30:G + C = [tex]\frac{4.1 + 2P_C}{0.30}[/tex]
G + C = [tex]\frac{4.1}{0.30} + \frac{2P_C}{0.30}[/tex]
G + C = [tex]\frac{41}{3} + \frac{20}{3}P_C[/tex]
G + C = [tex]\frac{41 + 20P_C}{3}[/tex]
From the constraints [tex]P_C[/tex] < 7 < [tex]P_G[/tex] and [tex]P_G[/tex] = [tex]P_C[/tex] + 4:[tex]P_G[/tex] = 7
[tex]P_C[/tex] = [tex]P_G[/tex] - 4 = 7 - 4 = 3
So,
G + C = [tex]\frac{41 + 20 \cdot 3}{3} = \frac{41 + 60}{3} = \frac{101}{3}[/tex]
G + C = 33.67
Since G and C must be integers and they add up to 33.67, we need to check for plausible values of G and C. However, considering our assumptions and given constraints, we should use consistent integer values:
For:
[tex]P_G[/tex] = 7
[tex]P_C[/tex] = 3
Using the total students equation:0.30(23 + G + C) = 7 + 7 + 3
0.30(23 + G + C) = 17
Thus:
23 + G + C = [tex]\frac{17}{0.30}[/tex]
23 + G + C = 56.67
So:
G + C = 56.67 - 23 = 33.67
Given [tex]P_C[/tex] < 7 < [tex]P_G[/tex], by resolving as integers:
G = 23
C = 11
Thus, Ms. Gardner's class must have 23 students.
PLZZZ HELP! Best answer gets brainliest! THANK YOU!
what does x equal? Plus can u pls explain cuz I have a test friday
Which of the following is equivalent to √20
A. 4
B. 5√2
C. 2√5
D. 20