Answer:
\(\frac{3}{2}\)
Step-by-step explanation:
To find the slope, we use the formula:
M = \(\frac{y2 - y1}{x2-x1}\)
So, plug in our numbers. For reference:
-2 = x1 2 = y1
0 = x2 5 = y2
2 = x3 8 = y3
After plugging in:
\(M = \frac{5 - 2}{0 - - 2} = \frac{3}{2}\)
Thus, your slope is \(\frac{3}{2}\).
A square picture has a 1-inch frame around it. If the area of the frame alone is 80 in.2, what is the area of the
picture?
Help I need the answer so I won’t fail
Answer:
9
Step-by-step explanation:
We have to solve in order to find out if Sam is correct
Remember PEDMAS:
For Multiplication, division and addition, subtraction, do what appears first left to right
Parenthesis
Exponent
Division
Multiplication
Addition
Subtraction
16 - 18 + (2+1)+2^3
Parenthesis first: 2+1 = 3
16 - 18 + 3 + 2^3
Exponent next: 2^3 = 8
Subtraction (it's on the left) : 16-18 = -2
Addition: -2 + 3 = 1
Addition : 1 + 8 = 9
Sam is not correct, the answer is 9, not 16.
Hope this helps :)
Have a great day!
Answer:
18
Step-by-step explanation:
\(16-18:(2+1)+2^3\)
We must use the BEDMAS rules (Brackets, Exponents, Division, Multiplication, Addition, Subtraction)
We must first calculate what's in the brackets:
\(2 + 1 = 3\)
So the new expression is:
\(16-18:3+2^3\)
Next, we calculate the exponent:
\(2^3 = 8\)
So our expression is now:
\(16-18:3+8\)
Next we divide:
\(18:3 = \frac{18}{3} = 6\)
Our expression is now:
\(16 - 6 + 8\)
Then we subtract:
\(16 - 6 = 10\)
The new expression:
\(10 + 8\)
And finally we add:
\(10 + 8 = 18\)
QUICK GIVING BRAINLIEST TO THE CORRECT ANSWER
0.91 as a percent is 91%
Answer:
91%
Step-by-step explanation:
0.91 = 91/100 = 91%
Qualitative data contribute to analysis and should aid the explanation of a process that may otherwise be unclear if explained by quantitative data only. (T/F)
The given statement "Qualitative data contribute to analysis and should aid the explanation of a process that may otherwise be unclear if explained by quantitative data only." is true.
Qualitative data is non-numeric information that provides insight into attitudes, behaviors, motivations, and perceptions. It is typically collected through open-ended questions, observation, and interviews. Qualitative data can provide a rich and nuanced understanding of a process or phenomenon that may not be possible to obtain through quantitative data alone. This is because qualitative data can help to uncover the underlying reasons behind a process, how people experience it, and how it is perceived by different groups. As a result, qualitative data can provide valuable context and insight into a process that may otherwise be unclear if explained by quantitative data alone.
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Find the area of a circle with a circumference of 31.4 units
Answer:
Step-by-step explanation:
hope it helps you
Multiply. Write your answer as a fraction or as a whole or mixed number.
7 ×
5
6
Answer: 5 5/6
Step-by-step explanation: make them both into fractions so 7/1 and 5/6 multiply across 7*5=35 and 1*6=6 simplify that down into a mixed number gives you 5 5/6
PLEASE HELP EMERGENCY
1. For the geometric series 0. 5 -0. 1 + 0. 2. Sn= 0. 416. Find thenumber of terms in the series. 2. For a geometric progression, u3= 4. 5 and u7= 22. 78125. Findthe value of the common ratio and the
Answer:
The common ratio would be 8:1.
Kate multiplied two binomials using the distributive property. She made a
mistake in one of the steps. Where did she first make a mistake?
(x - 2)(3x + 4)
1. (x-2)(3x) + (x + 2)(4)
2. (X)(3x) + (-2)(3x) + (x)(4) + (2)(4)
3. 3x2 - 6x + 4x + 8
4.3x2 - 2x + 8
Answer:
step 1
Step-by-step explanation:
Given
(x - 2)(3x + 4) ← apply distributive property
= (x - 2)(3x) + (x - 2)(4)
↑ error is here , she put (x + 2)
In this exercise we have to use the knowledge of the distributive property, so In alternative 1 she made the mistake.
What is distributive property example?The distributive property is used when a number is multiplying an addition or subtraction. Simply multiply each term separately and add or subtract the result. We distribute the multiplication of the 2, to the 8 and to the 3.
Proving the mistake:
\((x - 2)(3x + 4) \\= (X)(3x) + (-2)(3x) + (x)(4) + (2)(4)\\and not\\(x-2)(3x) + (x + 2)(4)\)
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Find the volume of this sphere.
Use 3 for
Volume of a sphere would be 6912.
What is Volume of this sphere ?
The volume of a sphere is calculated as V = 4/3πr^3, where V = volume and r is radius.
The fact that a sphere can be measured for its volume and surface area is due to the fact that it is a three-dimensional shape as opposed to a circle, which is a two-dimensional shape.
According to given question,
\(Volume\ of \ sphere=\frac{4}{3} \pi r^{3} \\\\Volume\ of \ sphere=\frac{4}{3} \pi 12^{3} \\\\Volume\ of \ sphere=\frac{4}{3} (3){1728}\\\\Volume\ of \ sphere=6912\)
Hence, Volume of a sphere would be 6912.
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BALLOON The angle of depression from a hot air balloon to a person on the ground is 36°. When the person steps back 10 feet, the new angle of depression is 25°. If the person is 6 feet tall, how far above the ground is the hot air balloon to the nearest foot?
The distance of the jot air balloon to ground is 21.62 ft.
Here, we have,
In triangle ACB:
tan36° = x/y
x = y tan36°
In triangle ADB:
tan25° = x/y + 12
x = y+12 * tan25°
Therefore equating both equations gives:
y tan36° = y+12 * tan25°
y tan36° = y tan25° + 12tan25°
so, we get,
y = 21.50 ft
Therefore x = 21.50*tan(36) = 15.62 ft
The distance of the jot air balloon to ground = 15.62 + 6 = 21.62 ft
Hence, The distance of the jot air balloon to ground is 21.62 ft.
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help MATH GEOMETRY WILL GIVE BRAINLIEST TO FIRST ANSWER
15(x+3) = 2x(12)
15x+45 = 24x
45 = 9x
x = 5
Emma buys 3 and two-thirds yards of blue fabric and some yellow fabric at a store. She buys a total of 5 and one-third yards of fabric. Equation 5 and one-third = 3 and two-thirds + y can be used to represent this situation, where y is the number of yards of yellow fabric she buys. How much yellow fabric does she buy?
1 and two-thirds yards
2 and one-third yards
8 yards
9 yards
plz, help.
Answer:
1 and two-thirds
Step-by-step expl
Answer: 1 and two-thirds yards
Step-by-step explanation: i took the test
Use the substitution method to solve the system { −x+y=1
4x−3y=−5
.
Your answer is x=........... y=....................
For the system of equations { −x+y= 1 , 4x−3y=−5 } Your answer is x= -2, y= -1.
To solve the system of equations using the substitution method, we will solve one equation for one variable and substitute it into the other equation.
Step 1: Solve the first equation for x in terms of y:
From the equation -x + y = 1, we can rearrange it to get:
\(x = y - 1\)
Step 2: Substitute the value of x into the second equation:
Substituting x = y - 1 into the equation 4x - 3y = -5, we get:
\(4(y - 1) - 3y = -5\)
Simplifying, we have:
\(4y - 4 - 3y = -5\)
y - 4 = -5
y = -5 + 4
y = -1
Step 3: Substitute the value of y back into the first equation to find x:
Using the first equation -x + y = 1, with y = -1, we have:
\(-x + (-1) = 1\)
-x - 1 = 1
-x = 1 + 1
-x = 2
x = -2
Therefore, the solution to the system of equations is x = -2 and y = -1.
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Q1. Anurag's office is 12 km away from his house. He takes an auto to travel 1/6 of the total distance, covers 4/5 of the remaining by bus and walks the rest. 5 i. If he repeats the same on the way back, then find the distance he walk every day ii. If he goes to office 5 days in a week, how much distance does he walk every week iii. Why do you think does he walk some distance daily?
Anurag walks 2 km every day on his way back.
i. To find the distance Anurag walks every day on his way back, we need to calculate the distance covered by walking.
Given that Anurag takes an auto to travel 1/6 of the total distance and covers 4/5 of the remaining distance by bus, the remaining distance he has to walk can be found by subtracting the distance covered by the auto and bus from the total distance.
Total distance = 12 km
Distance covered by auto = 1/6 * 12 km = 2 km
Remaining distance = Total distance - Distance covered by auto = 12 km - 2 km = 10 km
Distance covered by bus = 4/5 * 10 km = 8 km
Distance walked = Remaining distance - Distance covered by bus = 10 km - 8 km = 2 km
Therefore, Anurag walks 2 km every day on his way back.
ii. If Anurag goes to the office 5 days in a week, the total distance he walks every week can be calculated by multiplying the distance walked every day by the number of days he goes to the office.
Distance walked every week = Distance walked every day * Number of days
Distance walked every week = 2 km/day * 5 days/week = 10 km/week
Therefore, Anurag walks 10 km every week.
iii. Anurag walks some distance daily because the office is not directly accessible by auto or bus. Walking the remaining distance is necessary to reach his destination. Walking provides physical exercise and can also be a convenient and cost-effective mode of transportation for shorter distances. It allows Anurag to maintain an active lifestyle and may have additional benefits such as reducing carbon emissions and contributing to his overall health and well-being.
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to use the normal approximation for a test of two proportions, n1 p1 , n1 (1 - p1 ), n2 p2 , and n2 (1 - p2 ) must all be greater than what number?
To use the normal approximation for a test of two proportions, n1 p1, n1 (1 - p1), n2 p2, and n2 (1 - p2) must all be greater than or equal to 5.
This is because the normal distribution assumes that the sample size is large enough to approximate the binomial distribution, and the rule of thumb is that each cell (n1 p1, n1 (1 - p1), n2 p2, and n2 (1 - p2)) should have at least 5 expected counts. If any of these cells have fewer than 5 expected counts, then the normal approximation is not reliable and a more appropriate test should be used. It is important to note that this is just a rule of thumb, and other factors such as the size of the effect and the desired level of significance should also be considered when deciding on a statistical test.
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consider a closed curve in the plane, that does not self-intersect and has total length (perimeter) p. if a denotes the area enclosed by the curve, prove that p2 ≥4πa
We can prove the inequality using the isoperimetric inequality.
Let C be the closed curve and let A be the region enclosed by the curve. Consider a circle of radius r such that A is completely contained in the interior of the circle. By definition of A, the circle has area equal to A, i.e., πr^2 = A. The circumference of the circle is 2πr.
Now, since C is the boundary of A, its length p must be greater than or equal to the circumference of the circle. That is, p ≥ 2πr. Squaring both sides, we get p^2 ≥ 4π^2r^2.
But we know that A = πr^2, so r^2 = A/π. Substituting this in the above inequality, we get:
p^2 ≥ 4πA
This is the desired result, i.e., p^2 is greater than or equal to 4π times the area enclosed by the curve.
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i am a number between 17 and 25 i am a multiple of 3 but not a multiple of 6
Answer:
21
Step-by-step explanation:
Answer: The correct answer is 21
Step-by-step explanation:
HAVE A GOOD DAY!
Find volume of one penny if volume of 50 pennies is 18.0 mL.
The volume of one penny is 0.36 mL if the volume of 50 pennies is 18.0 mL.
To find the volume of one penny if the volume of 50 pennies is 18.0 mL, we use the concept of proportionality as follows:
We can find the volume of one penny by dividing the volume of 50 pennies by 50 since we know that 50 pennies occupy a volume of 18.0 mL.
Therefore, the volume of one penny can be calculated as:Volume of one penny = Volume of 50 pennies / 50= 18.0 mL / 50= 0.36 mL
Hence, the volume of one penny is 0.36 mL if the volume of 50 pennies is 18.0 mL.
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let a ∈ z. prove that 2a 1 and 4a 2 1 are relatively prime.
To prove that 2a+1 and 4a^2+1 are relatively prime, we can use the Euclidean algorithm. Let's assume that there exists a common factor d > 1 that divides both 2a+1 and 4a^2+1. Then we can write:
2a+1 = dm
4a^2+1 = dn
where m and n are integers. Rearranging the second equation, we get:
4a^2 = dn - 1
Since dn - 1 is odd, we can write it as dn - 1 = 2k + 1, where k is an integer. Substituting this into the above equation, we get:
4a^2 = 2k + 1
2a^2 = k + (1/2)
Since k is an integer, (1/2) must be an integer, which is a contradiction. Therefore, our assumption that there exists a common factor d > 1 that divides both 2a+1 and 4a^2+1 is false. Hence, 2a+1 and 4a^2+1 are relatively prime.
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PLEASE HELP‼️‼️15 POINTS PLEASE ANWER ASAP‼️‼️‼️ILL MARK BRAINLYEST I MEAN IT ‼️‼️‼️
which theorem would be used to prove the triangles below as congruent?
Answer:
ASA
Step-by-step explanation:This is because the two triangles have two angles and a side that are equal to each other. pls brainlyest me
Adding this so you can give the other person a brainlyist
Describe in words the surface whose equation is given. (Assume that r is not negative.) θ = π/4
-the plane y = −z where y is not negative
-the plane y = z where y and z are not negative
-the plane y = x where x and y are not negative
-the plane y = −x where y is not negative
-the plane x = z where x and y are not negative
It illustrates a line equation in the XY plane whose equation is represented by x=y when x and y really aren't negative.
What is an equation?Using the equal symbol (=) to indicate equivalence, a mathematical equation is a formula that joins two statements. An equation in algebra is a statement of mathematics proving the equality of two mathematical equations. In the formula 3x + 5 = 14, for example, the equal sign places the variables 3x + 5 & 14 apart. The relationship between two words on either side of such a letter is described by a mathematical formula. A single variable, which also serves as the symbol, is frequently present. like in 2x - 4 Equals 2, for instance.
The line passing thru the origins and having an equal tangent is known as an equation of the form =. A line's equation is, in general, an equation with the formula = °.
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if 2 is added to denominator and nemerator it becomes 9/10 and 3 is substracted from nemerator and denominator it becomes 4/5 find the fraction
Answer:
9-2 /10-2
7/8
4+3/5+3
7/8
fraction is 7/8
So, a line parallel to y =ax + c will have a slope of
A. a
B. A number not equal to a
C. 1/a
Answer:
A
Step-by-step explanation:
the equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
y = ax + x ← is in slope- intercept form
with slope m = a
• Parallel lines have equal slopes
then the slope of a line parallel to y = ax + c is
slope = a
Which equations are true for x = –2 and x = 2? Select two options
O x2 – 4 = 0
O x2 = –4
O 3x2 + 12 = 0
O 4x2 = 16
O 2(x – 2)2 = 0
The only two options with equations that are true for x = –2 and x = 2 are;
Option A: x² - 4 = 0
Option D: 4x² = 16
How to identify the correct domain value?The domain of a function is the set of all input values for which the function is possible.
Now, we are given the domain values as x = –2 and x = 2.
a) x² - 4
f(-2) = (-2)² - 4
= 0
f(2) = (2)² - 2
= 0
b) x² = -4
f(-2) = (-2)²
= 4
f(2) = (2)²
= 4
c) 3x² + 12
f(-2) = 3(-2)² + 12
= 24
f(-2) = 3(2)² + 12
= 24
d) 4x²
f(-2) = 4(-2)²
= 16
f(2) = 4(2)²
= 16
e) 2(x - 2)²
f(-2) = 2(-2 - 2)²
= 32
f(2) = 2(2 - 2)²
= 0
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help its mathnnnnnnnnnnnnnnnnnnnnnnn
Answer:
1
Step-by-step explanation:
6 ÷ 2(1 + 2) ; use "please excuse my dear aunt sally", please for parenthesis
6 ÷ 2(3); now do "my" for multiplication
6 ÷ 6 ; now do "dear" for division
1
In 1906, San Francisco felt the impact of an earthquake with a magnitude of 7.8. Many pundits claim that the worst is yet to come, with an earthquake 133,680 times as intense as the 1989 earthquake ready to hit San Francisco. If the pundits ability to predict such earthquakes were correct, what would be the magnitude of their claimed earthquake? Round your answer to the nearest tenth.
Answer:
Magnitude of claimed earthquake = 10.363 (Approx)
Step-by-step explanation:
Magnitude of claimed earthquake = log√133,680 + 7.8
Magnitude of claimed earthquake = [1/2] log 133,680 + 7.8
Magnitude of claimed earthquake = 2.563 + 7.8
Magnitude of claimed earthquake = 10.363 (Approx)
Answer: ITS A MAGNITUDE 10 EARTHQUAKE 10.363 PERCICELY
in a blueprint, each square has a side length of $\frac{1}{4}$ inch. a reduced drawing of a blueprint. the bedroom has 5 square along the length and 4 squares along the width. the bathroom has 4 squares along the length and 2 squares along the width. the living room has 7 squares along the length and 4 squares along the width. a. ceramic tile costs $5 per square foot. how much does it cost to tile the bathroom? it would cost $ to tile the bathroom. b. carpet costs $18 per square yard. how much does it cost to carpet the bedroom and living room? it would cost $ to carpet the bedroom and living room. formula keypad has been closed. press control backslash to open it again. skip to navigation
To tile the bathroom, it would cost the amount of $20. To carpet the bedroom and living room, it would cost $72.
To calculate the cost of tiling the bathroom, we need to multiply the number of squares in the bathroom (4 x 2 = 8) by the cost per square foot ($5). 8 x $5 = $40. To calculate the cost of carpeting the bedroom and living room, we need to multiply the number of squares in the bedroom (5 x 4 = 20) and the living room (7 x 4 = 28) and add them together (20 + 28 = 48). Then multiply the total number of squares (48) by the cost per square yard ($18). 48 x $18 = $864.
To calculate the cost of tiling the bathroom, we need to multiply the number of squares in the bathroom (4 x 2 = 8) by the cost per square foot ($5). 8 x $5 = $40. This is the total cost of amount of tiling the bathroom. To calculate the cost of carpeting the bedroom and living room, we need to multiply the number of squares in the bedroom (5 x 4 = 20) and the living room (7 x 4 = 28) and add them together (20 + 28 = 48). Since each square in the blueprint has a side length of 1/4 inch, we need to convert this measurement to square feet (1/4 inch = 0.00694 square feet) and then multiply 48 x 0.00694 = 0.33456 square yards. Finally, multiply the total number of square yards (0.33456) by the cost per square yard ($18). 0.33456 x $18 = $72. This is the total cost of carpeting the bedroom and living room.
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We can desribe 15x-10 as an expression.
We would describe 6x-2<35 as an
We can describe 15x-10 as an expression.
We would describe 6x-2<35 as an inequality.
What is an inequality?In mathematics, inequalities characterize the connection between two non-equal numbers. Inequality means being unequal. If two values are not equal, we use the "not equal symbol". However, various inequalities are employed to compare the numbers, whether they are less than or higher than.
An inequality in mathematics is a relationship that makes a non-equal comparison between two integers or other mathematical expressions. It is most commonly used to compare two numbers on the number line based on their size. In the illustration above, there's a less than sign. This means that it's an inequality.
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Write an algebraic expression to model each word phrase.
ten less than twice the product of s and t
The algebraic expression that models the word phrase "ten less than twice the product of s and t" is 2st - 10.
The product of s and t is obtained by multiplying s and t, which gives us st. Then, twice the product of s and t is found by multiplying st by 2, resulting in 2st. Finally, to express "ten less than twice the product of s and t," we subtract 10 from 2st, giving us 2st - 10.
The algebraic expression that models the given word phrase is 2st - 10.
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