What operation can you use to solve the question?
24 + m = 56
Answers
Answer:
Subtraction.
to solve the equation you would subtract 24 from both sides.
The result of m is 32
-
To solve this equation, let's just:
Isolate the unknown m and subtract the terms from each other:\( \\ \large \sf 24 + m = 56\)
\(\large \sf m = 56 - 24\)
\( \purple{ \boxed{\large \sf m = 32}}\)
So, the answer will be 32
Related Questions
A curve is represented by x = 3sec θ, y = 3tan θ where 0 < θ < /2.
Which of the following is the y intercept of the tangent to the curve at (2√3, √3)?
Answers
Applying derivative concepts, the y-intercept of the line tangent to the curve at (2√3, √3) is: \(y = \sqrt{3}\)
The equation of the line is:
\(y - y_1 = m(x - x_1)\)
In which:
There is a point \((x_1, y_1)\).The slope is \(m = \frac{\frac{dy}{d\theta}}{\frac{dx}{d\theta}}\)In this problem, point \((2\sqrt{3}, \sqrt{3})\), hence \(x_1 = 2\sqrt{3}, y_1 = \sqrt{3}\)
To find the value of \(\theta\), we have that:
\(3\tan{\theta} = \sqrt{3}\)
\(\tan{\theta} = \frac{\sqrt{3}}{3}\)
\(\theta = \frac{\pi}{6}\)
Then, for the slope:
\(\frac{dy}{d\theta} = 3\sec^{2}{\theta}\)
\(\frac{dx}{d\theta} = 3\sec{\theta}\tan{\theta}\)
Considering \(\theta = \frac{\pi}{6}\):
\(\frac{dy}{d\theta} = 3\left(\frac{2}{\sqrt{3}}\right)^2 = 2\)
\(\frac{dx}{d\theta} = 3\left(\frac{2}{\sqrt{3}} \times \frac{\sqrt{3}}{3}\right) = 2\)
\(m = \frac{\frac{dy}{d\theta}}{\frac{dx}{d\theta}} = 1\)
Then, the equation of the line is:
\(y - y_1 = m(x - x_1)\)
\(y - \sqrt{3} = x - 2\sqrt{3}\)
\(y = x - \sqrt{3}\)
The y-intercept is the value of y when x = 0, hence:
\(y = \sqrt{3}\)
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− 16 = someone please help me with this problem
Answers
Answer:
???????
i think u mean |-16| = 16
Step-by-step explanation:
9.
Find the values of x and y.
to
35 degrees
(i need
work shown please)
end answers should b x: 145
y: 35
Answers
Step-by-step explanation:
y is a corresponding angle to the 35 degree angle so y = 35°
'x' + the 35 degree angle form a straight line = 180 degrees
x + 35 = 180
x = 145°
Format your answer as needed
Prove the triangle inequality, i.e., for any x,y ∈R, |x + y|≤|x|+ |y|
Answers
In all cases, |x + y| is less than or equal to |x| + |y|.
To prove the triangle inequality, we need to show that for any real numbers x and y, the absolute value of their sum is less than or equal to the sum of their absolute values.
Let's consider two cases:
1. If both x and y are non-negative or both are non-positive, then the inequality |x + y| ≤ |x| + |y| holds true because the absolute values are always non-negative.
2. If x is positive and y is negative, or vice versa, then we have two sub-cases:
a. If x > -y, then x + y > 0, and |x + y| = x + y. On the other hand, |x| + |y| = x + (-y) = x - y. Since x + y is greater than x - y, the inequality holds true.
b. If x < -y, then x + y < 0, and |x + y| = -(x + y). Similarly, |x| + |y| = x + (-y) = x - y. Since -(x + y) is less than x - y, the inequality holds true.
Therefore, in all cases, |x + y| is less than or equal to |x| + |y|.
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HELP!!
What is the surface area of this shape?
Answers
2 triangular faces
1/2bh
10x15=150
2x150= 300
‘back’ face
7x20=140
‘front’ face
7x25= 175
‘bottom’ face
7x15= 105
total: 585m^2
determine whether the distribution is a discrete probability distribution.
\(
\(\(\(\begin{array}{ll}
X P(x) \\
0 & 0.13 \\
1 & 0.27 \\
2 & 0.18 \\
3 & 0.27 \\
4 & 0.13
\end{array}\)\)\)
\)
Is the probabily distribution a discrete distibution? why?
A-Yes, because the distribution is symmetric.
B- Yes, because the probabilities sum to 1 and are all between 0 and 1 , inclusive.
C- No, beacause some of the probabilities have values greater than 1 or less than 0 .
D- No, because the total probability is not equal to 1
Answers
The true statement about the distribution is (d)- No, because the total probability is not equal to 1
How to determine the true statement?The table of values represents the given parameter
For a probability distribution to represent a discrete probability, the following must be true
The sum of probabilities = 1
Mathematically, this is represented as
∑ p(x) = 1
So, we have
0.13 + 0.27 + 0.18 + 0.27 + 0.13 = 1
Evaluate
0.98 = 1
This is false
Hence, the distribution is a not discrete probability distribution.
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Find the square of 111 base two give ur answer in basetwo
Answers
Answer:
b is the correct answer
Step-by-step explanation:
(
111
t
w
o
)
2
=
(
111
t
w
o
)
(
111
t
w
o
)
=
1
×
2
2
+
1
×
2
1
+
1
×
2
0
=
4
+
2
+
1
=
7
t
e
n
(
111
t
w
o
)
2
=
7
×
7
=
49
2
49
2
24
R
1
2
12
R
0
2
6
R
0
2
3
R
0
2
1
R
1
0
R
1
↑
=
110001
2
What is the value of k if one of the zeros of the quadratic polynomial K 2 x2 2x 5?
Answers
If one of the zeros in the quadratic polynomial is 4, then the value of k is 3.
What is polynomial?A polynomial is a mathematical expression made up of coefficients and indeterminates that uses only the operations addition, subtraction, multiplication, and powers of positive integers of the variables. x2 4x + 7 is an illustration of a polynomial with a single indeterminate x. A polynomial is a mathematical expression that only uses the operations addition, subtraction, multiplication, and non-negative integer exponentiation of variables. Variables are also known as indeterminates in mathematics.
Here,
4 is a root/zero of polynomial
P(x) = (k-2) x² - 2 x - (k+5)
P(4) = 0
(k - 2) 4² - 2 * 4 - (k+5) = 0
15 k - 45 = 0
k = 3
The value of k if 4 is one of the zeros of the quadratic polynomial is 3.
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Complete question:
If one of the zeros of a quadratic polynomial(k-2)x^2-2x-(k+5) is 4 , find value of k.
what value of x will make x^(2)=64 true
Answers
Answer:
x=8
Step-by-step explanation:
x^(2)=64
Square root both sides of your equation to isolate your x.
x=\(\sqrt{64}\)
x=8
Hey there!
x^2 = 64
TAKE the SQUARE ROOT OF 64
√64 = 8 or -√64 = 8
Thus, your answer should be: x = 8 or x = -8
Good luck on your assignment & enjoy day!
~Amphitrite1040:)
What values of x and y satisfy the system of equations shown below?
3x − 2y = 13 9x − 4y = 35
(3,2)
(2,3)
(3,−2)
(−2,3)
Plz help with this, it's only for 10 points, Don't give me the wrong answer and steal my points or i will report!
Answers
Answer:
the correct values are ( 3, -2)
Answer:
(3,-2)
Step-by-step explanation:
x=13/3+2/3y
9x-4y=35
9(13/3+2/3y)-4y=35
y=-2
x=13/3+2/3×(-2)
x=3
The price that a company charged for a computer accessory is given by the equation 100 minus 10 x squared where x is the number of accessories that are produced, in millions. It costs the company $10 to make each accessory. The company currently produces 2 million accessories and makes a profit of 100 million dollars. What other number of accessories produced yields the same profit? 1. 45 million 3. 45 million 40 million 48 million.
Answers
The number of accessories which yields the same profit is about 3.45 million
Let's denote the number of accessories produced, in millions, as x.
The price charged for each accessory is given by the equation = 100 - 10x²
cost to make each accessory = $10.
The profit can be calculated by subtracting the cost from the revenue:
Profit = (Price - Cost) * Number of Accessories Produced
Profit = (100 - 10x² - 10) * x
Profit = (90 - 10x²) * x
We know that when the company produces 2 million accessories (x = 2), the profit is $100 million. We can use this information to set up an equation and solve for x:
(90 - 10x²) * x = 100
Expanding the equation:
90x - 10x³ = 100
Rearranging the terms:
10x³ - 90x + 100 = 0
Now we can solve this cubic equation to find the value(s) of x.
Using numerical approximation methods, we find that one of the solutions to this equation is x ≈ 3.446million (approximately 3.45 million).
Therefore, the number of accessories produced that yields the same profit as when the company produces 2 million accessories is approximately 3.45 million accessories.
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Find the distance between the two points (8, 3) and (0, -3)
Answers
Answer:
10
Step-by-step explanation:
d is the variable for distance
√(0−8)2+(−3−3)2=
√(−8)2+(−6)2=
√64+36=
√100=
10
Answer:
10
Step-by-step explanation:
what could the expression 3(p+0.06p) represents? Explain
Answers
Answer:
Step-by-step explanation:
Given: Angle T S R and Angle Q R S are right angles; Angle T Is-congruent-to Angle Q Prove: Triangle T S R Is-congruent-to Triangle Q R S Triangles T S R and Q R S share side S R. Angles T S R and S R Q are right angles. Angles S T R and S Q R are congruent. Step 1: We know that Angle T S R Is-congruent-to Angle Q R S because all right angles are congruent. Step 2: We know that Angle T Is-congruent-to Angle Q because it is given. Step 3: We know that Line segment S R is-congruent-to line segment R S because of the reflexive property. Step 4: Triangle T S R Is-congruent-to Triangle Q R S because
Answers
Triangle TSR is congruent to Triangle QRS by the ASA (Angle-Side-Angle) congruence criterion.
Given: Angle TSR and Angle QRS are right angles.
Given: Angle T is congruent to Angle Q.
Given: Line segment SR is congruent to line segment RS (reflexive property).
By Step 1: Angle TSR is congruent to Angle QRS (right angles are congruent).
By Step 2: Angle T is congruent to Angle Q (given).
By Step 3: Line segment SR is congruent to line segment RS (reflexive property).
By ASA congruence criterion: Triangle TSR is congruent to Triangle QRS (Angle-Side-Angle).
Therefore, Triangle TSR is congruent to Triangle QRS.
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This figure represents a design that is sewn onto a quilt square. The semicircles are a solid green fabric and the square is a floral fabric. The area of the solid green fabric is 8π square inches.
What percent of the design is floral fabric?
Use 3.14 for π. Round your answer to the nearest whole percent.
50 POINTS!!
Answers
The total percent of the design which is floral fabric made in the shape of quilt square is 13.73%.
What is area of square?Area of square is the square of its sides length. It can be given as,
\(A=a^2\)
Here, (a) is the length of the side of the square.
This figure represents a design that is sewn onto a quilt square. The semicircles are a solid green fabric and the square is a floral fabric.
The area of the solid green fabric is 8π square inches. There are total 8 semicircles made by the solid green fabric. Thus the area of the one semicircle is,
\(A=\dfrac{8\pi}{4}\\A=2\pi\)
The area of the semicircle is half of πr², where r is the radius of the circle. Therefore,
\(A=\dfrac{\pi r^2}{2}\\2\pi=\dfrac{\pi r^2}{2}\\4=r^2\\r=2\)
This radius of the semicircle is equal to the side of the square. Thus, the area of the side square made with floral fabric is,
\(A=2^2\\A=4\rm\; in^2\)
Thus, the percent floral fabric in the design is,
\(p=\dfrac{4}{8\pi+4}\times100\\p=\dfrac{4}{8\times3.14+4}\times100\\p=13.73\%\)
Thus the total percent of the design which is floral fabric made in the shape of quilt square is 13.73%.
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It’s 39 bro I have no clue what the other guy is talking about
Step-by-step explanation:
A researcher found a study relating the distance a driver can see, y, to the age of the driver, When researchers looked at the association of x and y, they found that the coefficient of determination was =0.542. Select two conclusions that the researcher can make from this data. a.) The correlation coefficient, t, is-0 458. b.) About 54% of the variation in distance that the driver can see is explained by a linear relationship with the driver's age. c.) About 74% of the variation in the driver's age is explained by a linear relationship with the distance that the driver can see d.) The correlation coefficient, t.is -0736. e.) About 46% of the variation in distance that the driver can see is explained by a linear relationship with the driver's age.
Answers
Two conclusions that the researcher can make from the coefficient of determination of 0.542 are:
b.) About 54% of the variation in distance that the driver can see is explained by a linear relationship with the driver's age.
e.) About 46% of the variation in distance that the driver can see is not explained by the linear relationship with the driver's age, and may be due to other factors.
Option a is incorrect because the question does not provide the correlation coefficient. Option c is incorrect because the coefficient of determination does not provide information about the variation in the driver's age. Option d is also incorrect because the provided value does not match with any possible correlation coefficient for this situation.
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Stacy and Melissa work as waitresses. They both earn $7.75 per hour, plus tips. Last weekend, Stacy worked x number of hours and earned $153.95 in tips. Melissa worked y number of hours and earned $129.02 in tips. Stacy determined that using the expression 7.75x + 153.95 + 7.75y + 129.02 will calculate the amount the girls earned together last weekend. Select another expression the girls could also use.
Answers
Answer:
The complete question is as below:
Stacy and Melissa work as waitresses. They both earn $7.75 per hour, plus tips. Last weekend, Stacy worked x number of hours and earned $153.95 in tips. Melissa worked y number of hours and earned $129.02 in tips. Stacy determined that using the expression 7.75x + 153.95 + 7.75y + 129.02 will calculate the amount the girls earned together last weekend. Select another expression the girls could also use.
A. 7.75x + y + 282.97
B. 7.75(x + y) + 282.97
C. 7.75(xy) + 282.97
D. 7.75x + 7.75y – 282.97
Option B,7.75(x + y) + 282.97 is correct
Step-by-step explanation:
Stacy already calculated total earnings of both of them with expression
7.75x + 153.95 + 7.75y + 129.02
The expression can be rewritten by simplifying it
first and foremost we can arrange the expression as follows:
7.75x+7.75y+153.95+129.02
7.75 is common to 7.75x+7.75y
7.75(x+y)+153.95+129.02
the sum of these two numbers 153.95+129.02=282.97
7.75(x+y)+282.97
From all indications,option B is the correct answer out of all options provided
Option D is obviously because of the negative sign introduced since the requirement is to compute total earnings not the difference between the two earnings
Answer: I did get a chance to look for the new one on my way back from the Senate and I will be there at the same time as the first time in the new season and then we going to go look for it and I get it to you tomorrow
Step-by-step explanation:
A rectangular lawn measuring 8 m by 4 m is surrounded by a flower bed of uniform width. The combined area of the lawn and flower bed is 165 square meters. What is the width of the flower bed
Answers
Answer:
The width of the flower bed is 3.5 m
Step-by-step Explanation:
Let x represent the width of the flower bed in meters.The length of the lawn along with the flower bed would be increased by 2x (flower bed on both sides), and the width of the lawn along with the flower bed would be increased by 2x as well.So, the length of the rectangular region including the flower bed would be (2x + 8) m as x + x + 8 = 2x + 8. The width would be (2x + 4) meters as x + x + 4 = 2x + 4.We know that the area of the rectangular region including the flower bed is the combined area of the lawn and flower bed, which is given as 165 square meters. Therefore, we can use the following equation to find x, the width of the flower bed:(2x + 8) * (2x + 4) = 165
Step 1: Expand equation by multiplying and adding 2x * 2x, 2x * 4, 8 * 2x, and 8 * 4:
(2x * 2x) + (2x * 4) + (8 * 2x) + (8 * 4) = 165
2x^2 + 8x + 16x + 32 = 165
2x^2 + 24x + 32 = 165
Step 2: Subtract 165 from both sides to prepare quadratic for solving:
(2x^2 + 24x + 32 = 165) - 165
2x^2 + 24x - 133 = 0
Step 3: Solve with quadratic equation:
Currently 2x^2 + 24x - 133 = 0 in standard form, whose general equation is:
ax^2 + bx + c = 0
Thus, in 2x^2 + 24x - 133 = 0, 2 is a, 24 is b, and -133 c.
The quadratic equation is:
\(x=\frac{-b+/-\sqrt{b^2-4ac} }{2a}\)
(Remember that the +/- comes from the fact that there can be both a positive and negative solution to a quadratic.
Let's find the positive solution then the negative solution:
Step 4: Find positive solution:
\(x=\frac{-24+\sqrt{24^2-4(2)(-133)} }{2(4)}\\ \\x=\frac{-24+\sqrt{2704} }{8}\\ x=(-24/8)+(52/8)\\x=-3+6.5\\x=3.5\)
Step 5: Find negative solution:
\(x=\frac{-24-\sqrt{24^2-4(2)(-133)} }{2(4)}\\ \\x=\frac{-24-\sqrt{2704} }{8}\\ x=(-24/8)-(52/8)\\x=-3-6.5\\x=-9.5\)
We can't have a negative measure, so the width of the flower bed is 3.5 m.
Optional Step 6: Check validity of answer:
We can check that 3.5 is the correct answer by plugging in 3.5 for x in (2x + 8)(2x + 4) = 165 and checking that we get 165 on both sides:
(2 * 3.5 + 8)(2 * 3.5 + 4) = 165
(7 + 8)(7 + 4) = 165
(15)(11) = 165
165 = 165
Thus, our answer is correct.
The ratio of the length to the width of a rectangle is 24:8. How many times the width of the rectangle is the length of the rectangle?
Answers
Answer:
24:8.
Step-by-step explanation:
24:8.
Answer:
3 times more
Step-by-step explanation:
These are the numbers and I need the ratio
to thank you!
help me please it's due tomorrow !!!!!!!!!!
help please
ill get in trouble!!!!
Answers
Answer: 1:3
Step-by-step explanation:
I'd say 1:3 but I could be wrong
Help me quick pls help fast
Answers
Answer: 46ft
Step-by-step explanation:
Alright so for this you must reference the pythagorean theorem which is:
a^2+b^2=c^2. c^2 is always the diagonal side and a^2 and b^2 the other two sides.
You can therefore set this up like this:
a^2+20^2=50^2 (where a is the side you are looking for- listed as x)
Solve:
a^2=50^2-20^2
a^2=2500-400
a^2=2100
sqrt(a^2)=sqrt(2100)
a= 45.8257569496
Round: a (or x)=46
Which expression is equivalent to 5x+10y-15?
5(x-2y-3)
5(x+5y-10)
5(x+2y-3)
5(x+2y-15)
Answers
Answer:Third optionoption
Step-by-step explanation:
what is 25% of 530 ?
53% of what number is 384?
what % of 368 is 26?
43 is 31% of what number?
Answers
Answer:
1. 132.5
2. 724.53
3. 7.07
4. 132.26
Hope this helps! If it does pls mark my ans as a brainliest
A study compared the number of years of education a person received and that person's yearly salary. It was determined that the relationship between these two quantities was linear and the correlation coefficient was 0.91. Which conclusion can be made based on the findings of this study?
Answers
Answer:
Salary earned increases as the number of years of education earned increases.
Step-by-step explanation:
Given that the correlation between the number of years of education a person receive and his yearly salary yields a linear relationship with a correlation Coefficient of 0.91, this shows that a strong positive relationship exists between the two measured quantities, this is deduced by the positive nature of the correlation Coefficient value obtained and the fact that the value of the Coefficient is close to 1. Hence, salary earned increases as the number of years of education increases and Vice versa.
Compare finding the slope using a table and graph
Answers
Please please can someone help me asap thank you
Answers
Answer:
Answers bellow
Step-by-step explanation:
FIGURE A
Decreasing by 1/4 =25%
Figure B
Increase by 1/5 = 20 %
Page 2
b The amount of sunny days this year is 75% of the amount of sunny days last year
c The amount of houses sold this month is 150 % amount of houses sold last month
d The runner's time to complete this marathon was 110% he needed to complete the last marathon(not sure about that one )( it's either 90 % or 110)
Where would you put the decimal in this product?
3.21 x 4.8 = 1 5 4 0 8
Answers
Answer:
15.408
Step-by-step explanation:
hope this helps :3
if it did pls mark brainliest
Determine which of the four levels of measurement (nominal, ordinal, interval, ratio) is most appropriate. ages of children: 5, 6, 7, 8, and 9
Answers
There are four levels of measurements in statistics, namely nominal, ordinal, interval, ratio. These levels are important when it comes to analyzing data, since it helps us determine the technique that we can use to support or refute our study.
In the nominal level, we can categorize data but they cannot be ranked. An example would be hair color. In an ordinal data, the data can be both categorize and ranked, but doing mathematical calculation may not make sense. Also, the intervals between rankings doesn't necessarily dictate how close or far apart the data are.
A good example is level of education. In an interval level, the data can be categorized, ranked, and measured but they do not have a true zero. An example could be a range of values that does not include zero. Lastly, in the Ratio level the data can be categorized, rank, and measured, and it has a true zero.
So ratio level is most appropriate for ages of children. Note that ages can be categorized, rank, and measured .Moreover, an age equal to zero means that there is no age or the absence of age.
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Jack had 3 bags of golf balls with bbb balls in each bag; then his friend gave him 6 more golf balls.
How many golf balls does Jack have now?
Write your answer as an expression.
Answers
Answer:
y=3b + 6 ................ . ..
The answer is 3b + 6 in Khan Accademy
pls help me out I really need to sleep
Answers
Answer:
-2/3
Step-by-step explanation:
Rise= -2
Run= 3
-2/3