Answer:
1) 72; 2) 72.
Step-by-step explanation:
1. the side of unshaded square is 6*√2=6√2, then the required area is (6√2)²=72;
2. if the area of the whole square is 144 and the area of the unshaded square is 72, then the required area of the shaded region is 144-72=72.
What is the solution to the system of equations?
y = 2/3x+ 3
x=-2
{-2, -15/2}
{-2, 5/3}
{-2, 11/6}
{-2, 13/3}
Answer:
(-2,5/3)
Step-by-step explanation:
how do i know which one?
The inequality value that would be able to show/x/ ≤ 5 is option A
What is inequality?
In mathematics, inequality refers to a mathematical statement that expresses a relationship between two quantities, indicating that one quantity is greater than, less than, or not equal to the other.
The symbol that we have is telling us that the value of the x would be less than or it would be seen to be equal to five.
We can see that /x/ ≤ 5 would exclude the negative values and this can be seen in the option that is marked option A
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What is the slope of the line on the graph?
C)2
The slope of the line on the given graph in the image below is: 2.
How to Find the Slope of a Line on a Graph?To find the slope of the line in a graph, use any two points on the line and plug in the coordinates of the two points in the slope formula which is given as:
Slope (m) = change in y / change in x = rise/run = y2 - y1 / x2 - x1
Picking two points on the line, (0, 1) and (1, 3):
Slope (m) = change in y / change in x = (3 - 1) / (1 - 0)
Slope (m) = 2/1
m = 2
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QUESTION IN PICTURE
Please explain your answer in steps, thank you.
We can complete the blanks with the following ratios:
(7.5 mi/1) * (1 mi/ 5280 ft) * (400ft/1 yd) * (3 ft/1 ft) =33 flags
Since we do not need a flag at the starting line, then 32 flags will be required in total.
How to obtain the number of flagsTo solve the problem, we would first convert 400 yds to feet and miles.
To convert to feet, we multiply by 3. This gives us: 400 yd * 3 = 1200 feet.
To convert to miles, we would have 0.227 miles.
Now, we divide the entire race distance by the number of miles divisions.
This gives us:
7.5 mi /0.227 mi
= 33 flags
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Round the numbers in each expression to the nearest whole number.
Then select the expression that can be estimated to 8.
A.
3
1
5
+
5
7
9
B.
1
5
8
+
5
2
5
C.
15
5
7
−
8
2
9
D.
10
1
4
+
1
11
15
Answer: A, and B
A) 894
B) 728
Step-by-step explanation:
I need help solving for x and Y can someone please help me
Answer: The solution is (1, 2)
Explanation:
The given equations are
5x - 4y = - 3
x - 6y = - 11
We would apply the method of substitution. From the second equation, if we add 6y to both sides, it becomes
x - 6y + 6y = 6y - 11
x = 6y - 11
We would substitute x = 6y - 11 into the second equation. It becomes
5(6y - 11) - 4y = - 3
By expanding the parentheses, it becomes
30y - 55 - 4y = - 3
By collecting like terms, we have
30y - 4y = - 3 + 55
26y = 52
Dividing both sides by 26, we have
26y/26 = 52/26
y = 2
Substituting y = 2 into x = 6y - 11, we have
x = 6(2) - 11
x = 12 - 11
x = 1
The solution is (1, 2)
Which number is the same as ?
A. -2
B. 1/8
C. 2
D. 32
E. 512
Answer:
Step-by-step explanation:
\(a^{-m}=\frac{1}{a^{m}}\\\\\frac{1}{a^{-m}}=a^{m}\\\\\\a^{m}*a^{n}=a^{m+n}\\\\\frac{a^{m}}{a^{n}}=a^{m-n}\)
\((a^{m})^{n} = a^{m*n}\)
In exponent multiplication, if two numbers have same base, just add the exponents
In exponent division, if two numbers have same base, just subtract the exponents
Prime factorize 4 = 2*2 = 2²
4⁻¹ *(2³÷ 4⁻² )= (2²)⁻¹ * ( 2³÷ (2²)⁻²
= (2⁻²)* (2³ ÷2⁻⁴)
\(= 2^{-2} * (2^{3-[-4]})\\\\= 2^{-2} * (2^{3+4})\\\\= 2^{-2} * 2^{7}\\\\= 2^{-2+7}\\\\= 2^{5}\\\\= 2 * 2 * 2 * 2 * 2\\\\= 32\)
Answer:
D. 32
Step-by-step explanation:
Write the expression in exponential form with the base of 2
\(2^{-2} x (2^{3} 4^{-2} )\)
Calculate the quotient
\(2^{-2} x 2^{7}\)
2 ^ 5 = 32
Alternative form
32
Question 15 of 20
What is the solution to the following equation?
6(x+1)+ 1 = 25
O A. x = 4
O B. x=5
O C. x = 3
D. X=2
Answer:
The awnser is 3
Step-by-step explanation:
(3+1) = 4 x 6= 24+1 = 25
;)
Answer:
the answer of equation is C. x=3
Ramon's RV Sales has current assets of $1,235,500 and current liabilities of $710,150. Find the current ratio.
1.4
1.5
1.7
1.9
None of these choices are correct.
Solve the following inequality:
Answer:
\(r \geqslant - 16\)
Step-by-step explanation:
\( \frac{ - 10 + r}{2} \geqslant - 13\)
multiply both sides by 2:
\( - 10 + r \geqslant - 26\)
add 10 on both sides:
\(r \geqslant - 16\)
Answer:
\(r \ge -16\)
Step-by-step explanation:
To solve any equation/inequality:
1. get the variable to show up exactly once
2. isolate it
\(\frac{-10+r}{2} \ge -13\)
Multiply both sides by 2 and simplify (note that we're multiplying by a positive, not a negative, so the direction of the inequality stays the same, whereas multiplying or dividing by a negative would have changed the direction of the inequality)
\(\frac{-10+r}{2} *2 \ge -13 *2\)
\(-10+r \ge -26\)
Add 10 to both sides, and simplify
\((-10+r)+10 \ge (-26)+10\)
\(r \ge -16\)
A drum of water is 3/4 full. When 9 litres are drawn from it, it is half full. How much water does the drum hold what is the capacity of the drum
Answer:
OK, Here is your answer
Step-by-step explanation:
Let's assume the capacity of the drum be C litres.Since the drum is initially 3/4 full, the amount of water in it is 3/4 × C = (3/4)C liters.When 9 liters of water are drawn from the drum, the remaining amount of water is (3/4)C - 9 liters.Since the drum is now half full, the amount of water remaining in it is (1/2)C liters.Therefore, we can write the equation: (3/4)C - 9 = (1/2)CTo solve for C, let's first get rid of the fractions by multiplying both sides by 4.(3/4)C - 9 = (1/2)C → 3C - 36 = 2C → C = 36Therefore, the capacity of the drum is 36 liters.Hence, the drum holds 3/4 × 36 = 27 liters of water initially and after 9 liters of water are drawn, the remaining amount of water in it is 27 - 9 = 18 liters.
Answer:
18 Lieters.
Step-by-step explanation:
found the answer in his answer. ↑↑↑↑
Jimmy has 1 apple and 1 orange, how many fruits does Jimmy have in total?
Answer:
2 one apple one orange.
Step-by-step explanation:
2 types of fruit and 2 total fruits
Is that what you are looking for?
If you have anymore questions or need a deep understanding let me know!
mel cuts 8 pizzas into ninths 2/3 of the slices were eaten how many slices remained
Answer:
5 pieces.
Step-by-step explanation:
8/3 x 2 = 5.33333…… So round to 5.
Answer:
24.
Step-by-step explanation:
Total number of slices 8*9 = 72.
So the number of slices that remain = 72 - 2/3 * 72
= 72 - 48
= 24.
what is the area of this triangle?? someone please help
Answer:
23,400
Step-by-step explanation:
30 times 30 times 26= 23,400
A rock climber is at a height of 120 feet. He is lowered down the rock to the ground at a rate of 2 feet per minute. The climber's height, in feet, is a function of time, in minutes.
Which of the following graphs represents the domain of this function?
Pleaseeee helpppppppp
Answer:D
Step-by-step explanation:
The higher he is the longer it takes to get down to the bottom
y = mx+ b PLEASEEEEEEEEEEE HELPPPPPPPPP MEEEEE
Answer:
3. y = -4x + 2
4. y = 1/3x - 4
To find the slope count how many units it goes up nd down (rise) and left and right (run) ---> slope = rise/run
The b in y= mx + b is the y-intercept or the y variable.
Hope this helps, thank you :) !!
In a certain video game, there is a mini-game where the main character can choose from a selection of twenty
presents. The presents are wrapped, so the character does not know what is in them. If 7 presents contain money, 3
presents contain gems, 6 presents contain ore, and 4 presents contain fish, what is the probability that the main
character does not choose a present that contains a gem?
Your answer should be an exact decimal value.
The probability of randomly selecting a present that does not contain a gem is
Answer:
There are a total of 20 presents, and 3 of them contain gems. Therefore, there are 20 - 3 = 17 presents that do not contain gems.
The probability of randomly selecting a present that does not contain a gem is 17/20 = 0.85 or 85%.
hope it helps you...
The figure above shows a square inscribed in a rectangle.
What is the area of the orange colored part of the figure? (Include only numbers, not words or labels, in your answer.)
Step-by-step explanation:
first u must find the area of the rectangle.after that,find the area of the square.then you have tu subtract it so that u can get the orange area.
What is the main idea of beauty algebra? 
Answer:
Beauty algebra is not a recognized term or concept within the field of mathematics. Therefore, there is no main idea associated with it in mathematical context. It is possible that the term is used in a different context or field, but without additional information, it is not possible to provide a more accurate answer.
A grocery store has 10 cartons of yogurt for sale, of which 4 are raspberry. What is the probability that a randomly selected carton of yogurt will be raspberry? Write your answer as a fraction or whole number.
Answer:
2/5
Step-by-step explanation:
4 raspberry / 10 total
4/10
2/5
Find the length of the line joining A (3,5) and B (1,3)
Answer:
2√2 units.
Step-by-step explanation:
To find the length of the line joining points A(3, 5) and B(1, 3), we can use the distance formula. The distance formula is given by:
d = sqrt((x2 - x1)^2 + (y2 - y1)^2)
Substituting the coordinates of points A and B into the formula, we have:
d = sqrt((1 - 3)^2 + (3 - 5)^2)
= sqrt((-2)^2 + (-2)^2)
= sqrt(4 + 4)
= sqrt(8)
= 2sqrt(2)
Therefore, the length of the line joining points A and B is 2√2 units.
at a local veterinary office, 48% of dogs get their teeth cleaned, while 35% of cats get their teeth cleaned. let p hat subscript upper d and p hat subscript upper c be the sample proportions of dogs and cats at this veterinary office, respectively, who get their teeth cleaned. suppose 25 dogs and 32 cats from this veterinary office are selected at random to collect data on their teeth-cleaning history. which of the following is the correct calculation and interpretation of the standard deviation of the sampling distribution of p hat subscript upper d baseline minus p hat subscript c ?
The difference (Dogs – Cats) in the sample proportions of those that get their teeth cleaned typically varies about 0.054 from the true difference in proportions.
The third option is correct.
What is the standard deviation?
Standard deviation is a statistical measure of the spread of a dataset, defined as the square root of its variance. It is a way to quantify the amount of variation or dispersion of a set of data values.
Percentage of Dogs getting their teeth cleaned = 48% = pD
Percentage of Cats getting their teeth cleaned = 35% = pC
Number of Dogs selected = nD = 25
Number of Cats selected = nc = 32
As the sample sizes are large enough, we can apply Central Limit Theorem
According to Central Limit Theorem for proportions –
pD-hat ~ Normal(pD, {pD*(1-pD)}/nD)
Thus, pD-hat ~ Normal(0.48, 0.009984)
Similarly,
pC-hat ~ Normal(pC, {pC*(1-pC)}/nC)
Thus, pC-hat ~ Normal(0.35, 0.0071094)
Now if X ~ N(E(X), Var(X)) and Y ~ N(E(Y), Var(Y))
then X -Y ~ N(E(X)-E(Y), Var(X)-Var(Y)) (If X and Y are Independent)
Thus,
pD-hat - pC-hat ~ Normal(0.48-0.35, 0.009984 – 0.0071094)
pD-hat - pC-hat ~ Normal(0.13, 0.0028746)
Thus, Standard Deviation of pD-hat - pC-hat = (0.0028746^0.5) = 0.0536 that is 0.054 approximately
Hence, the difference (Dogs – Cats) in the sample proportions of those that get their teeth cleaned typically varies about 0.054 from the true difference in proportions.
Third Option is correct.
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I’m am so lost please help thank you all
Answer:
Step-by-step explanation:
148 people
A system of equations is given.
Equation 1: 4x − 6y = 10
Equation 2: 9x + 2y = 7
Explain how to eliminate x in the system of equations.
Step-by-step explanation:
To eliminate x in the system of equations:
1. Multiply Equation 1 by 9 and multiply Equation 2 by -4, this gives:
Equation 1: 36x -54y = 90
Equation 2: -36x - 8y = -28
2. Add the two equations together to eliminate x:
(36x - 54y) + (-36x - 8y) = 90 - 28
Simplifying, we get:
-62y = 62
3. Solve for y:
y = -1
4. Substitute y = -1 into one of the original equations, say Equation 1:
4x - 6(-1) = 10
Simplifying, we get:
4x + 6 = 10
5. Solve for x:
4x = 4
x = 1
Therefore, the solution to the system of equations is x = 1 and y = -1. We can check that these values are correct by substituting them back into the original equations and verifying that they satisfy both equations.
You need to repaint the ceiling in your house. You measure to find that you have 201,600 in^2 of ceiling to paint. When you go to the store you find that a gallon of white ceiling paint covers about 325 ft^2. How many full gallons of paint would you need to purchase in order to paint all the ceilings in your house.
Given that 1 gallon of paint is required to paint 325 square feet,
\(1\text{ gallon of paint}\equiv325\text{ ft}^2\)The total area of the ceiling is 201600 square inches.
Convert the units as follwos,
\(\begin{gathered} 144\text{ inch}^2=1\text{ ft}^2 \\ \Rightarrow201600\text{ inch}^2=\frac{201600}{144}=1400\text{ ft}^2 \end{gathered}\)So the area of the ceiling is 1400 square feet.
Then the amount of paint required for the ceiling is calculated as,
\(\begin{gathered} 325\text{ ft}^2\equiv1\text{ gallon} \\ 1400\text{ ft}^2\equiv\frac{1400}{325}\approx4.3\text{ gallons} \end{gathered}\)Thus, approximately 4.3 gallons of paint is required for the complete ceiling.
Write a numerical expression to represent the phrase "the sum of 25 and the cube of 9." Do not evaluate the expression.
Answer:
25 + 9^3
Step-by-step explanation:
(SAT Prep) Find the value of x
X=25°
................
sequence three missing terms to comple 7444> →→19-
To complete the sequence "7444> →→19-", we need to find the missing terms that fit the pattern established by the given numbers. Let's analyze the sequence and identify any discernible pattern or rule.
Looking at the sequence, we can observe that each number is decreasing by a certain value. In this case, the first number is 7444, and the second number is 19, indicating a decrease of 7425. Now, we need to continue this pattern.
To find the third missing term, we subtract 7425 from 19, resulting in -7406. Therefore, the third missing term is -7406
To find the fourth missing term, we subtract 7425 from -7406, resulting in -14831. Therefore, the fourth missing term is -14831.
To find the fifth missing term, we subtract 7425 from -14831, resulting in -22256. Therefore, the fifth missing term is -22256.
Therefore, the completed sequence is:
7444> →→19- → -7406 → -14831 → -22256
Each term in the sequence is obtained by subtracting 7425 from the previous term.
It's important to note that this solution assumes a linear pattern in which the same subtraction value is applied to each term. However, without additional context or information about the sequence, there could be alternative patterns or interpretations.
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What transformation is represented by the function f(x)=2sin(x−π/2)
up 2
down 2
left π/2
right π/2
down π/2
Answer:
right π/2
Step-by-step explanation:
The function f(x) = 2sin(x - π/2) is a sine function with a period of 2π, an amplitude of 2, and a phase shift of π/2. The phase shift of π/2 causes the graph of the function to be shifted π/2 units to the right. .
Therefore, the correct answer is right π/2
Which problem solving strategy would be best to solve this problem?
Brandon went to the store and spent $2.50 on pencils. He spent half of what he had left on a notebook and paper. When he got home he had $5.00 left. How much money did Brandon have before going to the store?
Answer: The best problem solving strategy to solve this problem with is a formula. Additionally Brandon had $12.50 before going to the store.
Step-by-step explanation: Formula and Solving it
He Spent $2.50 on pencils.
Amount left after buying a pencil = x - 2.50
Next, he spent half of the amount left in his pocket.
He spent (x - 2.50)/2 on notebook and paper.
So the total amount he spent = 2.50 + (x -2.50)/2
Amount left when he got home =$ 5.00
That means, x - Total amount spent = 5
=> x - (2.50 + (x -2.50)/2 ) = 5
=> x - 2.50 -x/2 + 2.50/2 = 5
=> x/2 - 2.50/2 = 5
=> x/2 = 5 + 2.50/2
=> x/2 = 6.25
=>x = $12.5