Answer:
28/15
Step-by-step explanation:
Mr. Wilson has $2,500 in his savings account and m dollars in his checking account Write an expression that describes the total amount that he has in both accounts. Use your expression to show how much money Mr. Wilson would have in total if he has $300 in his checking account.
Expression: 2500 + m
Just substitute m with 300 and solve like that.
2500 + 300 = 2800
A big league pitching coach tries to limit his pitchers to 110 pitches per game. If the pitcher has
already thrown 52 pitches, write and solve an inequality to find how many more pitches he can
throw before reaching the limit.*
Type your inequality AND your answer as a sentence.
The pitcher can throw 58 until he reaches the limit, hopefully I helped :)
y=x+4
y=-2x+1
Solve the system
Does (1, 2) make the equation y = 4x true?
Answer:
No, (1, 2) does not make the equation true.
Step-by-step explanation:
y = 4x
(x, y) = (1, 2)
2 = 4(1)
2 = 4 (false)
Answer: No
Step-by-step explanation:
If you plug in (1,2) to the equation you get: 2=4(2)
Which simplifies to 2=8 which is not true
Therefore, (1,2) does not make y=4x true.
1. Samantha bought 3 packets of
stickers. Each packet contains
100 stickers. If she divides all of
the stickers evenly among 6
friends and herself, how many
stickers are left over?
Samantha bought 3 packets of stickers, each having 100.
-> In total, she bought 3 x 100 = 300 stickers.
If she divides all of the stickers evenly among 6 friends and herself, each person would get 300 : 7 = 42(r6) stickers, which mean there is going to be 6 stickers left over.
Answer: 6 left.
Step-by-step explanation:
Each person could get 42 stickers. There would be 6 stickers left.
Question 1 - Write an equation in Standard Form of a line that passes through (-3,-7) and has a slope of 4.
Question 2 - Write an equation in Standard Form of a line that passes through (10,-2) and has a slope of -1/2
Question 3 - Write an equation in Point Slope Form of a line that passes through (-1,8) and has a slope of -3/4
Question 4 - Write an equation in Slope Intercept Form that passes through (-3,11) and (6,-7).
The equation is, 4x - y = -5
The equation is, x + 2y = 6
The equation is, \(\(y = -\frac{3}{4}x + \frac{29}{4}\)\)
The equation is, y = -2x + 5
What is standard form of equation of line?
When A and B are not both zero, a line has the usual form Ax + By = C. The standard form of equation with slope and the point is,\(\(y - y_{1} = m(x - x_1)\)\) ...(1)
1. Given:\(\(x_1 = -3, y_1 = -7, m = 4\)\)
Plug these values in the above equation,
\(\(y - (-7) = 4(x - (-3)\\ y + 7 = 4(x + 3)\\\\y + 7 = 4x + 12\\y = 4x + 5\\\\4x - y = -5\)\)
This is the equation in standard form of line.
2. Given:
\(\(x_1 = 10, y_1 = -2, m = -\frac{1}{2}\)\)
Plug these values in the equation (1),
\(\(y - (-2) = -\frac{1}{2} (x - 10)\\y + 2 = -\frac{1}{2} x + 5\\\)\)
Multiply both sides by 2.2y + 4 = -x + 10x + 2y = 6
This is the equation in standard form of line.
3. Given:
\(\(x_1 = -1, y_1 = 8, m = -\frac{3}{4}\)\)
Plug these values in the equation (1),\(\(y - 8 = -\frac{3}{4}(x - (-1))\\ y -8 = -\frac{3}{4}(x + 1)\\ y - 8 = -\frac{3}{4}x - \frac{3}{4}\)\(y = -\frac{3}{4}x -\frac{3}{4} + 8\\ y = -\frac{3}{4}x + \frac{29}{4} \\\)\)
This is the equation in point slope form.
4. Given:\(\((x_1, y_1) = (-3, 11), (x_2, y_2) = (6, -7)\)\)
First to find the slope from the given two points.
\(\(m = \frac{y_2 - y_1}{x_2 - x_1} \\m = \frac{-7-11}{6-(-3)}\\ m = \frac{-18}{9\\}\\ m = -2\)\)
Now plug m = -2 and one of the given point in the equation (1), we ge\(t\(y - 11 = -2(x - (-3))\\y - 11 = -2(x + 3)\\y - 11 = -2x - 6\\y = -2x + 5\)\)
This is the equation in slope intercept form.
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It takes 40 seconds to cut 10 in to 10 in cake into 2 to 2 in cake. how long will it take to cut 12 to 12 inch?
Answer:
60 seconds or 1 minute.Step-by-step explanation:
We need to cut each side of 10 in cake to:
10/2 = 5 piecesIt is possible by 4 cuts. In total the number of cuts is:
4 + 4 = 8Total length of the cuts is:
8*10 = 80 inIt took 40 seconds to cut 80 in so each inch of cut takes:
40/80 = 0.5 secondNow, total length of cuts of 12 in x 12 in cake is:
(5 + 5)*12 = 120 inTime required to cut this cake is:
120*0.5 = 60 secondscan someone please help me
Answer:
#7 -94% = -0.94-.925 = -0.925-8/9 = - 0.888-9/10 = - 0.9Ascending order:
- 0.94 < -0.925 < -0.9 < -0.888 or-94% < -0.925 < -9/10 < - 8/9#8√170 ≈ 13.03813.5 64/5 = 12.813 7/8 ≈ 13.875Decreasing order:
13.875 > 13.5 > 13.038 > 12.8 or13 7/8 > 13.5 > √170 > 64/5Find the curl and divergence of the vector field b) F(x, y, z) = (e^x sin y, e^y sin z, e^z sin x)
The curl of the vector field F is (cos x - e^x sin z, cos y - e^y sin x, cos z - e^z sin y). The divergence of the vector field F is 0.
To find the curl of the vector field F(x, y, z) = (e^x sin y, e^y sin z, e^z sin x), we use the formula for curl:
curl(F) = (∂Fz/∂y - ∂Fy/∂z, ∂Fx/∂z - ∂Fz/∂x, ∂Fy/∂x - ∂Fx/∂y).
Calculating the partial derivatives:
∂Fz/∂y = e^z cos x, ∂Fy/∂z = e^y cos z,
∂Fx/∂z = e^x cos z, ∂Fz/∂x = e^z cos y,
∂Fy/∂x = e^y cos x, ∂Fx/∂y = e^x cos y.
Substituting these values into the curl formula, we get:
curl(F) = (e^z cos x - e^y cos z, e^x cos z - e^z cos y, e^y cos x - e^x cos y).
Simplifying further, we have:
curl(F) = (cos x - e^x sin z, cos y - e^y sin x, cos z - e^z sin y).
To find the divergence of the vector field F, we use the formula for divergence:
div(F) = ∂Fx/∂x + ∂Fy/∂y + ∂Fz/∂z.
Calculating the partial derivatives:
∂Fx/∂x = e^x sin y, ∂Fy/∂y = e^y sin z, ∂Fz/∂z = e^z sin x.
Adding these values together, we get:
div(F) = e^x sin y + e^y sin z + e^z sin x.
Simplifying further, we have:
div(F) = 0.
Therefore, the divergence of the vector field F is 0.
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What is the solution to the equation 3x-4 divided by 7=5
Answer:
x = 13/7 or x = 1 6/7
Step-by-step explanation:
Friar laurence: these violent delights have violent ends, and in their triumph die, like fire and powder, which, as they kiss consume: the sweetest honey is loathsome in his own deliciousness and in the taste confounds the appetite: therefore love moderately; long love doth so; too swift arrives as tardy as too slow. what do the oxymoron and paradox in this excerpt illustrate about love? only love has the ability to overcome obstacles. nothing good ever comes from truly loving another. loving with restraint is the key to long-lasting love. true love causes one to lose the ability to reason
Seriousness is what is being portrayed by the oxymoron and paradox in this excerpt.
Simply put, a serious relationship is one in which you are fully committed to your partner. You are completely open and honest with each other. You trust each other deeply. And you are on the same page together not only from your values and ethics perspective, but also from your future perspective.
Monks do not claim that "moderate" love is more wise than fleeting love, but they guide Romeo to understand the reason for his wisdom and explore their relationship.
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S
What is the value of x?
9
0 12 units
16
15 units
X
0 20 units
R
0 25 units
9514 1404 393
Answer:
12 units
Step-by-step explanation:
In this geometry, all of the right triangles are similar, so corresponding sides are proportional.
short-side/short-side = long-side/long-side
9/x = x/16
x^2 = 144 . . . . cross multiply
x = 12 . . . . . . . take the square root
Line m passes through points (3, 15) and (10, 9). Line n passes through points (2, 9) and (9, 3). Are line m and line n parallel or perpendicular?
Answer:
The two lines 'm' and 'n' are parallel
Step-by-step explanation:
Explanation
Given that the line 'm' points (3,15) and (10,9)
The slope of the line 'm'
= \(\frac{y_{2} - y_{1} }{x_{2}-x_{1} } = \frac{9-15}{10-3} = \frac{-6}{7}\)
Given that the line 'n' points (2,9) and (9,3)
The slope of the line 'n'
= \(\frac{y_{2} - y_{1} }{x_{2}-x_{1} } = \frac{3-9}{9-2} = \frac{-6}{7}\)
The slope of line 'm' = The slope of line 'n'
Both slopes of the lines are equal
∴ The two lines are parallel
A process in which a number is changed, such as by adding, subtracting, dividing, or multiplying.A. operation.B. smart.C. super cool.
Arithmetic operations consists primarily of operations such as addition, subtraction, multiplication, and division. So the option A is correct.
The process of adding things together is known as addition. The '+' sign represents the addition process. It entails combining two or more numbers into a single expression.
The difference between two numbers is calculated using the subtraction operation. The '-' sign represents subtraction. It is nearly identical to addition, but it is the conjugate of the second term.
Multiplication is also referred to as repeated addition. It is indicated by " or '*'. It can also be combined with two or more values to produce a single value.
Division is the inverse of multiplication and is usually denoted by ". It is made up of two terms, dividend and divisor, and the dividend is divided by the divisor to yield a single term value.
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19. What are equivalent statements to a + 3 = 18 and 4 b = 32?
a = 18-3 and b = 32/4
a=18/3 and b = 32/4
a = 18/3 and b = 32-4
a = 18-3 and b = 32 - 4
Answer:
The choice second . a=18/3 and b = 32/4
Step-by-step explanation:
\(a + 3 = 18 \\ a = 18 - 3\)
\(4b = 32 \\ \\ b = \frac{32}{4} \)
how to construct a confidence interval of the population proportion given at the level of confidence
Answer:
Step-by-step explanation:
what i do not undersante
Pls help I need this today
The nonagon is regular, we know that the sum of the interior angles of the nonagon is equal to (n-2) * 180 degrees, where n is the number of sides of the nonagon. Thus, the sum of the interior angles of the nonagon is:
\((9-2) * 180\) degrees = 1260 degrees
Since all nine angles in the nonagon are congruent, we can find the measure of each angle by dividing the total sum of the angles by the number of angles:
y = 1260 degrees / 9 = 140 degrees
We also know that the sum of the interior angles of a rectangle is equal to 360 degrees. Thus, we can use the following equation to find the measure of angle x:
\(a + b + y + y + y = 360\) degrees
Simplifying this equation, we get:
\(a + b + 3y = 360\) degrees
We don't know the specific values of a and b, but we do know that a = b, since opposite sides of a rectangle are congruent.
Thus, we can substitute "a" for "b" in the equation:
\(2a + 3y = 360 \)degrees
We can solve for a by subtracting 3y from both sides and then dividing by 2:
\(2a = 360\) degrees - 3y
a = (360 degrees - 3y) / 2
Now we can substitute this value of "a" into the equation for x:
x = 180 degrees - y - y - a
Substituting the values we found earlier for y and a, we get:
x = 180 degrees - 140 degrees - 140 degrees - [(360 degrees - 3y) / 2]
Simplifying this equation, we get:
x = 100 degrees - (3/2)y
So the measure of angle x depends on the measure of angle y, which we found to be 140 degrees. Plugging this value into the equation for x, we get:
x = 100 degrees - (3/2) * 140 degrees
x = 100 degrees - 210 degrees
\(x = -110\) degrees
This is a negative value, which doesn't make sense for an angle.
Therefore, we conclude that there must be an error in our calculation or our assumption about the figure. Without additional information about the figure, we cannot determine the measure of angle x.
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S is a subset within a universal set, u. If S= {x,y,4,9,?} which could describe u , letters or numbers
The universal set U from which the subset was derived is; U = {keys on a keyboard }
How to find the subset of a universal set?We are told that S is a subset within a universal set, U.
Now, If S = {x, y, 4, 9, ?}
Given S is a subset within a universal set U;
According to the question S = {x, y, 4, 9, ?}.
Now, we need to find among the given sets the one that describes the best set.
The best Universal set will be {keys on a key board } since the keys on a keyboard will have alphabets, numbers and punctuation marks mentioned in the set
Therefore, U = {keys on a keyboard }
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What is the y-intercept of this graph?
Answer:
0,0
Step-by-step explanation:
To find y-intercept You look where the line touches the y-axis and vice-versa if you want to find teh x-intercept
can ya'll do me a favor and cheak out my boy LOOCY LACE on you,tube all caps
Answer:
ok (tho i advise you use brainly for education purposes only :)
Step-by-step explanation:
Use an equation to solve each percent problem. Round your answer to the nearest tenth, if necessary.
80% of 58 is what?
Prior research suggests that the proportion of homes with gas water heaters is approximately 0.40. How large a sample is necessary for the bound on the error of estimation to be 0.03 for a 95% confidence interval
A sample size of approximately 1055 is necessary to have a bound on the error of estimation to be 0.03 for a 95% confidence interval.
To determine the sample size needed for a 95% confidence interval with an error of estimation of 0.03, we can use the formula:
n = (Z * σ / E)²
where:
n = sample size
Z = z-score for the desired confidence level (95% confidence level corresponds to a z-score of approximately 1.96)
σ = standard deviation of the population (unknown in this case)
E = desired error of estimation (0.03)
Since we don't know the standard deviation of the population, we can use the worst-case scenario assumption which is 0.5. This will give us a conservative estimate of the required sample size. Therefore, substituting the values into the formula:
n = (1.96 * 0.5 / 0.03)²
n = (0.98 / 0.03)²
n = 32.44²
n ≈ 1055
Therefore, a sample size of approximately 1055 is necessary to have a bound on the error of estimation to be 0.03 for a 95% confidence interval.
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I need help with this
Answers
Step-by-step explanation:
A slot machine has 3 wheels that spin independently. Each has 10 equally likely symbols: 4 bars, 3 lemons, 2 cherries, and a bell. If you play, what is the probability that you get at least one bar?
Answer:
a) 3 lemons = (0.3)^3 = 0.027
------------------------------------
b) No fruit symbols = (0.5)^3 = 0.125
c) 3 bells (the jackpot) = (0.1)^3 = 1/1000
d) No bells = (999/1000)
e) At least one bar (An automatic loser)= 1 - P(no bars)
= 1 - 3C0(0.4)^0*0.6^3 = 1-0.6^3 = 0.784
============================================
Cheers,
help meeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeee
Answer: 9.7 seconds
Step-by-step explanation:
\(16t^2=1503\\\\t^2 =\frac{1503}{16}\\\\t=\sqrt{1503/16} \text{ } (t > 0)\\\\t \approx 9.7\)
The Central Limit Theorem is important in Statistics because it allows us to use the normal distribution to make inferences concerning the population mean: O provided that the population from which the sample was drawn is normal and the sample size is reasonably large. O provided that the population size is reasonably large (whether the population distribution is known or not). O provided that the sample size is reasonably large (for any population). o provided that the population from which the sample was drawn is normal.
The correct statement is: provided that the sample size is reasonably large (for any population).
Why the statement provided that the sample size is reasonably large is correct?The Central Limit Theorem states that, under certain conditions, the sampling distribution of the sample mean will be approximately normal, regardless of the shape of the population distribution.
These conditions include a random sample from the population and a sufficiently large sample size (typically, n > 30 is considered large enough).
Therefore, the Central Limit Theorem is important because it allows us to make inferences about the population mean using the normal distribution, even if we do not know the population distribution.
This is useful in many applications of statistics, including hypothesis testing, confidence intervals, and estimating population parameters
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Consider the sequence $$1,3,4,9,10,12,13,\ldots,$$ which consists of every positive integer that can be expressed as a sum of distinct powers of $3$. What is the $75^{\text{th}}$ term of this sequence
To find the 75th term of the sequence consisting of positive integers that can be expressed as a sum of distinct powers of 3. Thus, the 75th term of the sequence is $111$.
To find the 75th term of the sequence consisting of positive integers that can be expressed as a sum of distinct powers of 3, we can use the base-3 (ternary) numeral system. The 75th term can be represented as the 74th number in base-3 without a digit 2 (as it will require subtraction to form distinct powers of 3).
The 74th number in base-10 is represented as $74_{10}$, which when converted to base-3 is $2202_3$. Since we need to avoid the digit 2, we can carry out the operation similar to addition with carry-over: $2202_3 + 1111_3 = 10310_3$.
Now, we can convert $10310_3$ back to base-10: $(1 \times 3^4) + (0 \times 3^3) + (3 \times 3^2) + (1 \times 3^1) + (0 \times 3^0) = 81 + 0 + 27 + 3 + 0 = 111$.
Thus, the 75th term of the sequence is $111$.
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Find MN such that LN = 5.7.
Line LN is compounded by segments LM and MN. The lenght of segment LM is fixed (1.3), and we need to find how long should segment MN be so the whole segment LN has a length of 5.7.
The length of segment LN is the sum of lengths of segments LM and MN. Writing it as an equation:
\(LN=LM+MN\)We an replace the values we know in the equation:
\(5.7=1.3+MN\)Now, we just need to solve for MN:
\(\begin{gathered} MN=5.7-1.3 \\ \\ MN=4.4 \end{gathered}\)Segment MN should have a length of 4.4 for the segment LN to be 5.7. Correct answer is option D.
Your employer offers you a choice of wage scales: a monthly salary of $2500 plus commission of 9% of sales or a salary of $3100 plus a 5% commission. At what sales level would the options yield the same salary?
At a sales level of $15,000, the two options yield the same salary.
To find the sales level at which the two options yield the same salary, we need to set the two salaries equal to each other and solve for sales:
2500 + 0.09x = 3100 + 0.05x
where x is the sales level.
Simplifying this equation, we get:
0.04x = 600
x = 15000
If the sales are less than $15,000, the first option with a lower base salary but a higher commission rate would be more favorable, while if sales exceed $15,000, the second option with a higher base salary but a lower commission rate would be more favorable.
It's worth noting that the decision between the two options depends on more than just the sales level. Other factors, such as the type of work, job security, and benefits, should also be considered when making a decision.
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Can someone please explain the steps?
hi <3
so basically, there are a few rules you need to know of and i'll describe those first.
angles in a triangle sum to 180 degrees. AND
angles on a straight line sum to 180 degrees
so, by using the first rule, we can calculate the missing angle within the triangle:
180 - (52 + 90) = 38
now, we can use the second rule to find x
180 - 38 = 142
x = 142 degrees
hope this helps :)
Answer:
142°
Step-by-step explanation:
It is a little rough
Hope this helps.
Mark brainliest if this helps you.