Answer:
for Q5)1.88m and Q6)5.62
Step-by-step explanation:
Q5)
all you have to add the radius to find out the diameter then times with 3.14
Q6)
1.8 x 3.14
What are the domain and range of the function
represented by the set of ordered pairs?
{(-3, 2), (-2, 1), (-1,0), (0, -1)}
The domain of the function will be (-∞, ∞) and the range of the function will be (-∞, ∞).
What are domain and range?The domain means all the possible values of x and the range means all the possible values of y.
The set of ordered pairs is given below.
{(-3, 2), (-2, 1), (-1,0), (0, -1)}
Then the line function will be
y – 0 = [(– 1 – 0)/(0 + 1)] (x + 1)
y = – x – 1
x + y + 1 = 0
Then the domain of the function will be (-∞, ∞) and the range of the function will be (-∞, ∞).
More about the domain and range link is given below.
https://brainly.com/question/12208715
#SPJ1
Determine the solution to the system. Explain students steps to solving the systems of equations.
A).-1
B).3
C).(-1,3)
D).(3,-1)
Determine the solution to the system. Explain students steps to solving the systems of equations.
A).-1B).3C).(-1,3)D).(3,-1)\( \\ \)
\( \\ \)
\(\Large{\underline{\mathcal{Given:}}}\)
ᴇǫᴜᴀᴛɪᴏɴs:
1️⃣➤x -4y = 7
2️⃣➤5x + 9y = 6
\( \\ \)
\( \\ \)
\(\Large{\underline{\mathcal{ToFind:}}}\)
x and y values .
\( \\ \)
\( \\ \)
\(\Large{\underline{\mathcal{Solution:}}}\)
\( \\ \)
\( \\ \)
➠Here the elimination method is used as it is in the form of
Ɑx + Ɓყ = Ƈ ,where the two variables are unknown
\( \\ \)
\( \\ \)
➠The two equations are added or subtracted to get one unknown value and later the identified value is substituted in either of the equation in order to get the another unknown value
\( \\ \)
ʙʏ ᴇʟɪᴍɪɴᴀᴛɪᴏɴ ᴍᴇᴛʜᴏᴅ :
1️⃣➤x -4y = 7
2️⃣➤5x + 9y = 6
\( \\ \)
➠First equation is multiplied with the suitable number in order to get any of the x or y values cancelled
then,
\( \\ \)
\( \\ \)
1️⃣ ×-5➤-5x +20y = -35
2️⃣ ➤ 5x +9y = 6
___________________
\( \:\:\:\)➺29y = -29
\( \:\:\:\)➺y =- 29/29
\(\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\underline{\boxed{\sf{ y = \frak{\pink{-1}}}}}\)
\( \\ \)
\( \\ \)
Now,
\( \\ \)
\( \\ \)
➠ the identified value is substituted in either of the equation in order to get the another unknown value
\( \\ \)
\( \\ \)
1️⃣➤x -4y = 7
\( \:\:\:\)➺x - 4(-1) = 7
\( \:\:\:\)➺x +4 = 7
\( \:\:\:\)➺x = 7-4
\(\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\underline{\boxed{\sf{ x = \frak{\red{3}}}}}\)
____________________________
16.1 is what percent of 32? Round to the nearest thousandth.
Answer: 16.1 is 50.312% of 32
16.1 is approximately 50.313% of 32. This is found by creating a ratio of 16.1 to 32, converting that ratio into a percentage, and then rounding to the nearest thousandth.
Explanation:To find out what percent 16.1 is of 32, we first need to create a ratio.
The ratio will be 16.1/32. We can then convert this ratio into a percentage by multiplying the result by 100. So:
Percentage = (16.1 / 32) x 100
After calculating the above, we will find that 16.1 is approximately 50.313% of 32 when rounded to the nearest thousandth.
To find what percent 16.1 is of 32, you can use the formula:
Percent = (Part / Whole) * 100
In this case, the Part is 16.1 and the Whole is 32. Substitute these values into the formula:
Percent = (16.1 / 32) * 100 = 50.3125%
Rounding to the nearest thousandth, the answer is approximately 50.313%.
Learn more about Percentage Calculation here:https://brainly.com/question/329987
#SPJ2
a movie poster is 10 in long and 22 inch tall what is th are of this poster
Answer:
220
Step-by-step explanation:
Area = length · width
Area = 22 · 10
Area = 220
Note:
Please mark as Brainliest! <3
The value of p² when p= -5 is 25 , please I need help for this question
Answer:
True
Step-by-step explanation:
Because -5 x -5 = -25
use the sketch below to decide if congruence can be proved, and if so, which method would prove the congruence.
Yes, the proof of congruence of two triangles ∆ABC ≅ ∆GHF is possible.
The convergence method which proves this congruence is SSS(side-side-side) congruence.
We have given the sketch of two triangles as seen above. We have to prove ∆ABC ≅ ∆GHF
Now , AB = √(-7+7)² + 5² = 5 in triangle ABC and FG = 5 in triangle FGH,
so, AB ≅ FG
Because AC = 3 in triangle ABC and FH = 3 in triangle FGH,
so, AC ≅ FH
To find the lengths of BC and GH , we can use distance formula.
Length of BC :
BC = √[(x₂ - x₁)² + (y₂ - y₁)²]
(x₁, y₁) = B(-7, 0) and (x₂, y₂) = C(-4, 5).
BC = √[(-4 + 7)² + (5 - 0)²]
= √[32 + 52]
= √[9 + 25]
= √34
Length of GH :
GH = √[(x₂ - x₁)² + (y₂ - y₁)²]
(x₁, y₁) = G(1, 2) and (x₂, y₂) = H(6, 5).
GH = √[(6 - 1)² + (5 - 2)²]
= √[52 + 32]
= √[25 + 9]
= √34
Conclusion :because BC = √34 and GH = √34,
=>BC ≅ GH
All the three sides of one triangle is congruent to the corresponding sides of other triangle.
By SSS congruence postulate,
ΔABC ≅ ΔFGH
To learn more about SSS (Side-Side- Side ) Congruence postulate , refer:
https://brainly.com/question/24079210
#SPJ4
The sugar is sold at & 5.4 per kg at
At what price should it be sold per kg to com
a profit of 20%
the sugar is sold at rupees 5.4 per kg at a loss of 10% at what price should it be sold per kg to earn a profit of 20%
Answer:
7.2 rupees
Step-by-step explanation:
Given that at a loss of 10 percent which is 90% price, we have sugar sold at 5.4 rupees per k.g
Hence, at 100 percent we have => 5.4 × (100 ÷ 90 )= 6 rupees per kg.
Therefore, at 100 percent, where we have 6 rupees per kg, to make a profit of 20% we have
6 rupees per kg x 120% = 6 × 1.2 = 7.2 rupees per kg.
Hence, the final answer is 7.2 rupees per kg to make a profit of 20%.
The diagram shows a particle P of mass M kg suspended from two strings
The angle made by one of the tensions suspending particle P is 50⁰.
What is the angle made by the two tensions?The angle θ made by one of the tensions is calculated by applying trig identities as follows;
the force opposite the angle = weight of the block = mg
W = 7.75 kg x 9.8 m/s²
W = 75.95 N
The angle θ made by one of the tensions is calculated as follows;
cos θ = (38 N ) / ( 59 N)
cos θ = 0.6441
θ = arc cos (0.6441)
θ = 50⁰
Thus, the angle θ made by one of the tensions is determined as 50 degrees.
Learn more about angle between two tensions here: brainly.com/question/31410427
#SPJ1
The missing part of the question is in the image attached.
What is the area?
6 mi
4 mi
square miles
Answer:
12 sq mi
Step-by-step explanation:
base times height divided by 2
Answer:
12
Step-by-step explanation:
Formula for area of a triangle = length X width ÷ 2
so the equation would be (6 X 4) ÷ 2
which equals (24) ÷ 2
which is 12.
So the answer is 12
Based on the supply graph and the demand graph shown above, what is the price at the point of equilibrium?
Hint: Think about the point where they both meet. For example, if you were to place the graphs on top of each other, what would be the point of intersection?
Type the correct number below without the dollar sign.
Based on the supply graph and demand graph shown above, the price at the point of equilibrium is $ 30.
Demand refers to quantity of a commodity that the consumers are willing to, able to purchase at a given price during a given period of time. Supply refers to quantity of a commodity that the producers are willing to, able to offer for sale at a given price during a given period of time.
Demand curve slopes downward due to inverse relationship between price and quantity demanded whereas supply curve slopes upward due to direct relationship between quantity supplied and price. When both demand and supply curve intersect with each other balance is achieved. Intersection point between demand and supply curve is known as equilibrium.
At this point when prices are equal is known as equilibrium price and when quantiy demanded or supplied are equal it is known as equilibrium quantity. When we combine the given graph. Equilibrium is achieved at a point when price is equal to $ 30 and quantity is equal to 20 units.
To learn more about equilibrium of demand and supply:
https://brainly.com/question/30237240
Juanita must buy 50 plastic ducks for a game at the carnival. The ducks are sold in packages of 6. What is the LEAST number of packages Juanita should buy?
Answer:
9
Step-by-step explanation:
The least number of packages she should buy is 9 because 9 x 6 is 54 so she would have 4 extra ducks but she would still have enough for the carnival game
Max's bedroom is rectangular shaped and has a total area
of 140 square feet. If the short wall is at 10 feet long,
what is the length of the longer wall?
Answer:
14 ft
Step-by-step explanation:
Area is length times width. So, you need to find something times 10 that equals 140. Or, you could just do 140 divided by 10. 140/10=14.
(5.6x10^4)x(1.3x10^8)
Answer:
(5.6x10^4)x(1.3x10^8) = 7.28 x 10^12
Answer: =7.28x100010001
Step-by-step explanation: 5.6x104x(1.3x108)
Simplifies to:
7.28x100010001
Let P(x) be a predicate in the domain consisting of just the numbers 0 and 1. Let p be the statement P(0) and let q be the statement P(1).
(a) Write (∀x)P(x) as a propositional logic formula using p and q.
(b) Write (Ǝx)P(x) as a propositional logic formula using p and q.
(c) In this situation, which derivation rule from propositional logic corresponds to the universal and existential negation rules of predicate logic?
(∀x)P(x) can be written as p ∧ q, (Ǝx)P(x) can be written as ¬p ∨ ¬q, and the universal and existential negation rules of predicate logic correspond to the DeMorgan's law of propositional logic, which states that ¬(p ∨ q) = ¬p ∧ ¬q.
a) The statement (∀x)P(x) states that P(x) is true for all x in the domain, which consists of just 0 and 1. So, if P(0) is true, represented by p, and P(1) is true, represented by q, then (∀x)P(x) is true. Therefore, (∀x)P(x) can be written as p ∧ q.
b) The statement (Ǝx)P(x) states that P(x) is true for at least one x in the domain, which consists of just 0 and 1. So, if either P(0) is true, represented by p, or P(1) is true, represented by q, then (Ǝx)P(x) is true. Therefore, (Ǝx)P(x) can be written as p ∨ q.
c) The negation of (∀x)P(x), represented as ¬(∀x)P(x), is equivalent to the negation of (∀x)P(x) in predicate logic, represented as (Ǝx)¬P(x). This corresponds to DeMorgan's law of propositional logic, which states that ¬(p ∧ q) = ¬p ∨ ¬q.
Similarly, the negation of (Ǝx)P(x), represented as ¬(Ǝx)P(x), is equivalent to the negation of (Ǝx)P(x) in predicate logic, represented as (∀x)¬P(x). This corresponds to DeMorgan's law of propositional logic, which states that ¬(p ∨ q) = ¬p ∧ ¬q.
To know more about DeMorgan's law, here
https://brainly.com/question/13265106
#SPJ4
HELP ME PLEASE!!!!!
The distance around the outside of a workplace is 0.4 mile. Levi skipped 0.75 of the distance during his weekend. How far did he skip?
Answer:
0.3
Step-by-step explanation:
0.4 * 0.75
Kate kicked 25 goal shots at soccer practice and scored on 13 of them. What percent of shots did she make
Answer:
52%
Step-by-step explanation:
If 25% is the 100% only multiply 13 by 4 and thats it
A ball is drawn randomly from a jar that contains 2 red balls, 8 white balls, and yellow balls. Findthe probability of the given event, and show your answers rounded to 4 decima places whenpossible,a. A red ball is drawn,P(red)b. A white ball is drawn.P(white)C. A yellow ball or red ball is drawn,P(yellow or red)
Explanation:
In the given question we would require the formula for probability to solve the questions. The formula is given below;
\(Pr(Event)=\frac{number\text{ of favorable outcomes}}{\text{Total number of possible outcomes}}\)The total number of possible outcomes represents the number of balls in the jar. This is given below;
\(2+8+4=14\text{ balls}\)Note: The number of favorable outcomes varies depending on the ball that would be picked
1) if a red ball is drawn, the number of favorable outcomes is 2 red balls
2)If a white ball is drawn, the number of favorable outcomes is 8 red balls
3) If a yellow ball is drawn, the number of favorable outcomes is 4 yellow balls
Also, the term "or" represents the union of two probabilities and can be represented by "+".
Workings:
Part A
The probability that a red ball is drawn is given as:
\(Pr(\operatorname{Re}d)=\frac{2}{14}=\frac{1}{7}=0.1429\)Answer 1:
\(Pr(red)=0.1429\)Part B
The probability that a white ball is drawn is given as;
\(Pr(White)=\frac{8}{14}=0.5714\)Answer 2:
\(Pr(White)=0.5714\)Part C
The probability that a yellow or red ball is drawn is given as
\(Pr(\text{yellow or red)=}\frac{4}{14}+\frac{2}{14}=\frac{4+2}{14}=\frac{6}{14}=0.4286\)Answer 3:
\(Pr(\text{yellow or white)}=0.4286\)Suppose that 45% of people have dogs. If two people are randomly chosen, what is the probability that they both have a dog
Answer:
\(P(Dogs) = 0.2025\)
Step-by-step explanation:
Given
\(Proportion, p = 45\%\)
Required
Probability of two people having dog
First, we have to convert the given parameter to decimal
\(p = \frac{45}{100}\)
\(p = 0.45\)
Let P(Dogs) represent the required probability;
This is calculated as thus;
P(Dogs) = Probability of first person having a dog * Probability of second person having a dog
\(P(Dogs) = p * p\)
\(P(Dogs) = 0.45 * 0.45\)
\(P(Dogs) = 0.45^2\)
\(P(Dogs) = 0.2025\)
Hence, the probability of 2 people having a dog is \(P(Dogs) = 0.2025\)
Help pls George is building a fence around a rectangular dog run. He is using his house as one side of the run. The area of the dog run will be 240 square feet. The length of the run is 30 feet, and the width is (30 minus x) feet. The diagram below shows his plan.
Recall the formulas for area and perimeter: A = lw and P = 2l + 2w.
The width of the dog run is 20 feet.
In the given problem, the length of the dog run is given as 30 feet.
The area of the dog run is also given as 240 square feet.
Using the formula for the area of a rectangle (A = lw), we can solve for the width (w).
Rearranging the formula, we have w = A / l.
Plugging in the values, we get w = 240 / 30 = 8 feet.
Since the width is given as (30 minus x) feet, we can set up an equation:
30 - x = 8. Solving for x, we find x = 22.
Therefore, the width of the dog run is 20 feet (30 - 22 = 8).
In this problem, the length and width of the dog run are defined by the dimensions of the fence being built around it.
The area of the dog run is given as 240 square feet.
By using the formula for the area of a rectangle, we can solve for the width. We are also given that the length is 30 feet.
Setting up an equation with the given width (30 minus x) and solving for x, we find that x is equal to 22.
This means that the width of the dog run is 8 feet. The main answer to the problem is that the width of the dog run is 20 feet (30 - 22 = 8).
for such more questions on width
https://brainly.com/question/28107004
#SPJ8
Malachy rolls a fair dice 168 times.
How many times would Malachy
expect to roll an even number?
Step-by-step explanation:
no of even numbers=84
84/168
1/2
plsss mark brainliesttt
PLEASE I NEED HELP WITH MATH
Answer:
65
Step-by-step explanation:
First you need to solve for angle Z. Angle Z and the angle that equals 128° are supplementary angles meaning they add up to 180°. To find angle Z, you subtract 128° from 180°.
Angle Z = 180 - 128 = 52
Next, you need to find angle Y. You already know two angles within the triangle, one is 52° and the other is 63°. To find angle Y, you add the two known angles and subtract from 180° since the sum of the interior angles in a triangle always equal 180°.
Angle Y = 180 - (52 + 63) = 65
Lastly, since Angle Y and Angle X are vertical angles, they both have the same angle measure.
Angle X = 65
write the first five terms of the geometric sequence in which a1=34 and the common ration is r= -1/2
The formula used to calculate the nth term of a geometric sequence is given to be:
\(a_n=a_1\cdot r^{n-1}\)From the question, we are given the following parameters:
\(\begin{gathered} a_1=34 \\ r=-\frac{1}{2} \end{gathered}\)Therefore, we can calculate the first 5 terms as follows:
First Term: 34
Second Term: -17
\(\begin{gathered} n=2 \\ \therefore \\ a_2=34(-\frac{1}{2})^{2-1}=34\times(-\frac{1}{2}) \\ a_2=-17 \end{gathered}\)Third Term: 8.5
\(\begin{gathered} n=3 \\ \therefore \\ a_3=34(-\frac{1}{2})^{3-1}=34\times\frac{1}{4} \\ a_3=8.5 \end{gathered}\)Fourth Term: -4.25
\(\begin{gathered} n=4 \\ \therefore \\ a_4=34(-\frac{1}{2})^{4-1}=34\times(-\frac{1}{2})^3=34\times(-\frac{1}{8}) \\ a_4=-4.25 \end{gathered}\)Fifth Term:
\(\begin{gathered} n=5 \\ \therefore \\ a_5=34(-\frac{1}{2})^{5-1}=34\times(-\frac{1}{2})^4=34\times\frac{1}{16} \\ a_5=2.125 \end{gathered}\)The first five terms are 34, -17, 8.5, -4.25, and 2.125.
Can you help solve problem 11
Answer:
i dont know that try looking it up
please help with math question.
Using linear programming, we will purchase 113 compact fluorescent light bulbs and insulating 1400 square feet of exterior walls will cost $1912.50 and save $900 per year in energy costs.
How much compact fluorescent light bulbsLet x be the number of compact fluorescent light bulbs and y be the number of square feet of insulation. The following system of inequalities can be used to model the constraints:
4x + y ≤ C (total cost constraint)
2x + 0.2y ≤ 900 (energy savings constraint)
x ≥ 0 (non-negative constraint for light bulbs)
y ≥ 0 (non-negative constraint for insulation)
where C is the total amount that can be spent on light bulbs and insulation.
To maximize the amount spent while saving no more than $900 per year, we want to maximize the cost C subject to the above constraints. This can be formulated as the following linear programming problem:
Maximize: C
Subject to:
4x + y ≤ C
2x + 0.2y ≤ 900
x ≥ 0
y ≥ 0
Using a linear programming solver, we find that the optimal solution is:
a. compact fluorescent light bulbs: x = 112.5 (rounded up to 113)
b. insulation ft^2: y = 1400
c. total cost: C = $1912.50
d. energy costs savings per year: $900 (the maximum allowed)
Learn more on linear programming here;
https://brainly.com/question/13154906
#SPJ1
The mean Exam score on the SOC 15 Exam 2 is 84.28 with a standard deviation of 6.71.Your friend scored an 86 on the exam. What is your friend's z-score?
z-score = 0.256
Explanation:The mean score, μ = 84.28
The standard deviation, σ = 6.71
The score, X = 86
The z-score is calculated using the formula:
\(\begin{gathered} z-\text{score = }\frac{X-\mu}{\sigma} \\ z-\text{score = }\frac{86-84.28}{6.71} \\ z-\text{score = }\frac{1.72}{6.71} \\ z-\text{score = }0.256 \end{gathered}\)Therefore, your friend's z-score = 0.256
Which of the expressions are equivalent to the one below check all that apply
Answer:
A , B and C
Step-by-step explanation:
evaluate the expressions following the order of operations as set out in PEMDAS
initial expression
note that • indicates multiplication
3 (2 + 6) + 4 × 5 ← evaluate parenthesis
= 3(8) + 20 = 24 + 20 = 44
A
5 × 4 + 3 × (6 + 2) ← evaluate parenthesis
= 5 × 4 + 3 × 8 ← perform multiplication
= 20 + 24 ← perform addition
= 44
B
(6 + 2) × 3 + 4 × 5 ← evaluate parenthesis
= 8 × 3 + 4 × 5 ← perform multiplication
= 24 + 20 ← perform addition
= 44
C
3 × 2 + 3 × 6 + 4 × 5 ← perform multiplications
= 6 + 18 + 20 ← perform addition
= 44
D
3 × 2 + (6 + 4) × 5 ← evaluate parenthesis
= 3 × 2 + 10 × 5 ← perform multiplication
= 6 + 50 ← perform addition
= 56
the expressions equivalent to the initial expression are A , B and C
A hotel housekeeper has cleaned 1 3 of the first floor in 1 5 of an hour. At what rate is she cleaning?
Answer:
1 2/3 floors per hour
Step-by-step explanation:
UwU
Answer:
1 2/3
Step-by-step explanation:
Did it on IXL trust me
suppose you take a sample of 50 students from your school and measure their height. which one of the following is a random variable? group of answer choices
The mean of the sample is the random variable in the given problem.
The mean of any given data set can be defined as summarizing a given group of data. It is done in order to make data sets and their values easier to understand. It can be obtained by first adding all the given values and then dividing the total sum by the number of data entries.
A random variable is any quantity that depends on random events. Here, we know that the mean of the given sample depends on all of the random events or we can say random values present in the table. Hence, we can conclude that the random variable is the mean of the sample.
Learn more about the mean on
https://brainly.com/question/30112112?referrer=searchResults
#SPJ4
convert 23cm in the inches(round off to the nearest inch)
Answer:
9.055
Step-by-step explanation:
Factor out the greatest common factor. If the greatest common factor is 1, just retype the
polynomial.
9x³ - 6x²
0
Learn with an example
Submit
The greatest common factor is 3x² and GCF form of polynomial is
3x²(3x-2).
The given polynomial is
9x³ - 6x²
We can write it as;
3x²(3x-2)
We know that
The greatest common factor (GCF) that divides two or more numbers is known as the greatest common divisor (GCD). The highest common factor (HCF) is another name for it.
Therefore 3x² is its GCD.
Divide each term of polynomial 3c,
6c³ ÷ 3c = 2c² and -9c ÷ 3c = -3
Thus,
3x²(3x-2) is the factored version of the polynomial with the highest common factor.
Also if GCD is 1 then after dividing each term by 1 we get same result
thus the polynomial be 3x²(3x-2).
To learn more about GCD visit:
brainly.com/question/219464
#SPJ1