Answer:
G
Step-by-step explanation:
LS and TD are in the same positions in the equation. S is the first letter and D is so they are equal to each other and the same for L and T
Someone pls help me . Will mark brainliest !!
Answer:
3, 10, 1080
Step-by-step explanation:
A coefficient, is the number that is multiplying a variable, such as x. A constant is any other number, not multiplying a variable.
For part one, the number multiplying the variable x is 3, so 3 is the coefficient.
For part two, the only number not multiplying a variable is the 10, so that is the constant.
To find how many miles she drove, we first need to subtract the first 30 dollars from the final payment.
300-30=270
We than need to divide 270 by .25, because that is how much it costed per mile.
270/.25=1080
Answer:
In the first question shown, the answer is 3
In the second question shown, the answer is 10
In the third question shown, the answer is 1080 miles
Step-by-step explanation:
First question - 3 is the number before x, making it the coefficient
Second question - 10 is the only number without a variable, making it a constant
Third question - .25 * 1080 = 270. 270 + 30 = 300.
the points (0, 5) and (0, −5) are the endpoints of the diameter of a circle. the point (3, �) is on the circle, in quadrant 4. what is the value of y?
Using the equation of a circle, it is found that the value of y is -4.
Equation of the circle:
A circle is a closed curve that is drawn from the fixed point called the center, in which all the points on the curve are having the same distance from the center point of the center.
The equation of a circle with (h, k) center and r radius is given by:
(x-h)² + (y-k)² = r²
Given,
The points (0, 5) and (0, −5) are the endpoints of the diameter of a circle.
The point (3, y) is on the circle, in quadrant 4.
Here we need to find the value of y.
The center is the midpoint of them, thus:
\(x=\frac{0+0}{2}=0\\ y=\frac{5-5}{2}=0\)
So, the midpoint is (0,0).
The diameter(twice the radius) is the distance between these two points, so:
\(2r=\sqrt{(0-0)^2+(5-(-5))^2}\)
=> 2r = √0+100
=> 2r = √100
=> 2r = 10
=> r = 5
Thus, the equation of the circle is:
=> x² + y² = r²
Apply the values,
=> x² + y² = 5²
=> x² + y² = 25
The point (3,y) is on the circle, in quadrant 4. This means that:
Replacing x by 3, we can find the value of y.
Quadrant 4 means that y < 0.
Then:
=> 3² + y² = 25
=> y² = 25 - 9
=> y² = 16
=> y = ±√16
=> y = - 4
The value of y is -4.
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(-1,11) reflected over the y axis
(-3,-9) reflected over the y axis
(2, -7 reflected over the y axis
Answer:
See explanation
Step-by-step explanation:
Reflecting over the y axis does not change the Y value. It multiplies the x value by -1.
So (-1,11) is (1,11)
And (-3,-9) would become (3,-9)
And (2,-7) would become (-2,-7)
Is 450 divisible by 5, 9, and 10?
Answer:
Yes
Step-by-step explanation:
450 ÷ 10 = 45
450 ÷ 9 = 50
450 ÷ 5 = 90
The cube shown below holds 64 cubic centimeters of water. Label the dimensions of the cube.
The measure of the side of the cube is 4 centimeters, and its dimensions are 4 centimeters × 4 centimeters × 4 centimeters.
A cube is a solid object in three dimensions with six square faces that all have the same length of sides. Six square faces, eight vertices, and twelve edges make up the form. Since the 3D figure is a square with equal-length sides, the length, breadth, and height of a cube are all the same measurement. The edge, which is regarded as the bounding line of the edge, is the shared border between the faces of a cube. Each face is connected to four vertices and four edges, three vertices are connected to three edges and three faces, and two vertices and two edges are in contact to create the structure.
A cube's volume is the amount of space it takes up. Finding the cube of the cube's side length will provide the volume of the cube.
Cube volume equals a³, where a is the length of a cube's side.
In the question, we are asked to find the dimensions of the cube, given that it holds 64 cubic centimeters of water.
If the cube holds 64 cubic centimeters of water, then we know that the cube's volume is 64 cubic centimeters.
Assuming the length of the side of the cube to be centimeters, we can say that a³ = 64, knowing that a cube volume equals a³, where a is the length of a cube's side.
Thus, we have a³ = 64,
or, a = ∛64,
or, a = 4.
Thus, the measure of the side of the cube is 4 centimeters, and its dimensions are 4 centimeters × 4 centimeters × 4 centimeters.
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\(\huge\bold\red{{HELP}}\)
Answer: 16x\sqrt{2x}
Step-by-step explanation:
WELL HELLO BUDDY!
it is nice to see you again.
please,
whip out a piece of paper because we are going to be doing some QUICK MAFFS.
draw 512.
ok now draw two sticks coming out of 512
512
/ \
2 256
now lets keep going, do you see what im doing? i just divided 512 by 2
ok now lets go
512
/ \
2 256
/ \
16 16
im just looking for numbers that can DIVIDE 256 WITH NO DECIMALS!
ok so i keep going right? lets go.
the attached picture is the full diagram. scroll down to look at the picture.
WHAT I WANT YOU TO DO IS CIRCLE THE NUMBERS, IN PAIRS, that are at the END of the stem. so you can only circle the numbers that are at the end, the ones that dont branch off into further numbers. ok? in this way, we find that we have four pairs of 2's. and we have one 2 thats all by itself :( ok... interesting... so four pairs of 2's, lets find \(2^{4}\) (the exponent will be how many pairs you found). but we have one 2 thats all alone so lets put it in the radical... and the 16 we found as a result of
but DONT FORGET THE x's in this equation! \(x^{3}\) to be exact. we can actually put one x outside the radical since \(x^{2}\) under a radical just solves as x. the square root of \(x^{2}\) is just x, so x is outside of the radical.
but remember that we were given x^{3} to start off with! so we are gonna have one x all by his or her lonesome.
our answer will then be.... \(16x\sqrt{2x}\)
put the rest of your questions in their own posts on brainly because the other ones are too much work for just one question
hello pleASE I need helppppppp
I can help you with that problem i just did that on my own.
a =
a. 6
b. 9
c. 4
Please find a in the triangle its on my attached file plss
Answer:
Step-by-step explanation:
\(c^{2}+b^{2} = (4+a)^2 \\c = \sqrt{6^2+4^2}\\ c = \sqrt{36+16}\\ c = \sqrt{52} \\c^2 = 52\\a^2 + 6^2 = b^2\\\\52 + a^2 + 36 = 16 + a^2 + 8a\\ 8a = 72\\a = 9\)
Please mark my answer as brainliest .
Exercise Oo.: Carter's desk lamp uses a lightbulb that has an exponential life- time with a mean of 6 months. When the lightbulb goes out, it is immediately replaced. It is now New Year's Eve. What is the probability that exactly three bulbs will be replaced before the end of March?
The probability of exactly three bulbs being replaced before the end of March is approximately 0.0126 or 1.26%.
To solve this problem, we need to use the exponential distribution formula:
f(x) = (1/β) * e^(-x/β)
where β is the mean and x is the time period.
In this case, β = 6 months, and we need to find the probability of exactly three bulbs being replaced before the end of March, which is three months from New Year's Eve.
So, we need to find the probability of three bulbs being replaced within three months, which can be calculated as follows:
P(X = 3) = (1/6)^3 * e^(-3/6)
= (1/216) * e^(-0.5)
≈ 0.011
Therefore, the probability that exactly three bulbs will be replaced before the end of March is approximately 0.011.
To answer this question, we will use the Poisson distribution since it deals with the number of events (in this case, lightbulb replacements) occurring within a fixed interval (the time until the end of March). The terms used in this answer include exponential lifetime, mean, Poisson distribution, and probability.
The mean lifetime of the lightbulb is 6 months, so the rate parameter (λ) for the Poisson distribution is the number of events per fixed interval. In this case, the interval of interest is the time until the end of March, which is 3 months.
Since the mean lifetime of the bulb is 6 months, the average number of bulb replacements in 3 months would be (3/6) = 0.5.
Using the Poisson probability mass function, we can calculate the probability of exactly three bulbs being replaced (k = 3) in the 3-month period:
P(X=k) = (e^(-λ) * (λ^k)) / k!
P(X=3) = (e^(-0.5) * (0.5^3)) / 3!
P(X=3) = (0.6065 * 0.125) / 6
P(X=3) = 0.0126
So the probability of exactly three bulbs being replaced before the end of March is approximately 0.0126 or 1.26%.
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ANSWER QUICKlY ASAP!!!!
Answer:
\( \sqrt{9 } = 3 \)
Sandra used partial products to find the product of
438
×
17
by multiplying 438 by 1 and 438 by 7 to get 3,066. Find the product of
438
×
17
by using partial products. Is Sandra correct? Compare your answer to Sandra's and explain why it is or is not the same.
Answer:
lo siento no se lo siento
Fill in the blanks to make the statement true:
The imaginary part of
4+75−34+7i5−3i
is a positive improper fraction in lowest terms, A/B,
The statement cannot be completed as the imaginary part 32i cannot be expressed as a positive improper fraction in lowest terms, A/B.
To find the imaginary part of the given expression, we need to separate the terms with the imaginary unit "i" from the real terms.
The given expression is:
4 + 75 - 34 + 7i5 - 3i
The real terms are 4, 75, and -34, while the imaginary terms are 7i5 and -3i.
The imaginary part of the expression is the sum of the imaginary terms, which is:
7i5 - 3i
To simplify this, we can factor out "i" from both terms:
i(7 * 5 - 3)
Simplifying further:
i(35 - 3) = i(32) = 32i
Therefore, the imaginary part of the given expression is 32i.
Now, let's address the second part of the statement: "is a positive improper fraction in lowest terms, A/B."
Since the imaginary part 32i does not involve any real numbers, it cannot be represented as a fraction. Fractions involve ratios between real numbers, and the imaginary unit "i" represents the square root of -1, which is not a real number.
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An automobile manufacturer would like to know what proportion of its customers are not satisfied with the service provided by the local dealer. The customer relations department will survey a random sample of customers and compute a 95% confidence interval for the proportion who are not satisfied.
(a) Past studies suggest that this proportion will be about 0.17. Find the sample size needed if the margin of the error of the confidence interval is to be about 0.015. (You will need a critical value accurate to at least 4 decimal places.) Sample size:
(b) Using the sample size above, when the sample is actually contacted, 25% of the sample say they are not satisfied. What is the margin of the error of the confidence interval? MoE:
The margin of error for the confidence interval is approximately 0.014, indicating that the estimate of the proportion of dissatisfied customers could be off by approximately plus or minus 0.014. This means that we can be 95% confident that the true proportion of dissatisfied customers falls within the range of the estimated proportion ± 0.014.
(a) To find the sample size needed to achieve a margin of error of about 0.015 with a 95% confidence level, we can use the formula for sample size calculation for proportions:
n = (Z^2 * p * (1-p)) / E^2
Where:
n = sample size
Z = critical value (corresponding to the desired confidence level)
p = estimated proportion of the population
E = margin of error
In this case, the estimated proportion of dissatisfied customers is 0.17, and the desired margin of error is 0.015. Since we want a 95% confidence level, the critical value can be obtained from a standard normal distribution table. The critical value for a 95% confidence level is approximately 1.96.
Plugging these values into the formula, we have:
n = (1.96^2 * 0.17 * (1-0.17)) / 0.015^2
n ≈ 1901.63
Therefore, the sample size needed is approximately 1902.
(b) If 25% of the sample say they are not satisfied, we can calculate the margin of error using the following formula:
MoE = Z * sqrt((p * (1-p)) / n)
Where:
MoE = margin of error
Z = critical value (corresponding to the desired confidence level)
p = proportion of the sample
n = sample size
Using the same critical value of 1.96 for a 95% confidence level and plugging in the values:
MoE = 1.96 * sqrt((0.25 * (1-0.25)) / 1902)
MoE ≈ 0.014
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As a goalie , Brooke is practicing blocking goals . Out of 750 shots , she blocks 600 of them . What is the experimental probability that she will block the next shot?
Answer:
80%
Step-by-step explanation:
Divide 600 by 750 to find the probability
*20 POINTS AND BRAINLIEST*
Please answer the 3 questions
See attatchment
Describe the difference between inductive and deductive reasoning.
How is writing an equation to represent a situation involving two variable similar to writing an equation to represent a situation involving only one variable? how is it different?
How is writing an equation to represent a situation involving two variable similar to writing an equation to represent a situation involving only one variable? how is it different?
1. The major difference between inductive reasoning and deductive reasoning is inductive reasoning is mainly concerned with forming and developing a theory, whearas deductive reasoning is mainly concerned with putting already developed theories into test.
2. An equation written with one variable is similar to that written with two variables in a manner that they both have unknowns that you need to solve and know.
3. They differ in a manner that the equation with one variable represents a single situation where there is just one unknown quantity, for instance, if you bought a pen for $5 and you need to know how many pens you can buy for $25. This can be represented with this: 5p = 25 where p stands for number of pens.
On the other hand, an equation of two variables represents a situation where there are two unknowns that have a relationship. For instance, if you buy a pen and a book for $5 and you buy 2 pens and a book for $7 and you need to know the price for one book and a pen, this could be found by representing the situation with these simultaneous equations:
p + b = 5
2p + b = 7
Where p and b stand for pen and book respectively.
The formula F = \frac{9}{5} C + 32$ can be used to convert temperatures between degrees Fahrenheit ($F$) and degrees Celsius ($C$). What Celsius temperature $C$ has the same value when converted to a Fahrenheit temperature $F$?
The Celsius temperature that has the same value as when converted to a Fahrenheit temperature is -40
What Celsius temperature has the same value as FFrom the question, we have the following parameters that can be used in our computation:
F = 9/5C + 32
The Celsius temperature that has the same value as F implies that
C = F
Substitute the known values in the above equation, so, we have the following representation
C = 9/5C + 32
So, we have
C - 9/5C = 32
Evaluate the like terms
-4/5C = 32
So, we have
C = -32 * 5/4
Evaluate
C = -40
Hence, the value of C is -40
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I need some help with this
POSSIBLEP
25
Four points representing T, V10, 3.16, and are plotted on the number line shown below.
8
w
XYZ
3.1
3.2
Which statement correctly identifies the location of one of the points and whether it is a rational or an irrational number?
25
Point Wis the location of
8
and it is an irrational number
Point X is the location of and it is an irrational number.
Point Y is the location of 3.16. and it is a rational number
Point Z is the location of v10, and it is a rational number.
Answer:
the second answer is right
Step-by-step explanation:
while it is true that W=25/8, the definition itself (25/8) makes it a rational number (= a ratio of 2 integer numbers). so, in total, the first answer is therefore wrong.
X=pi, and pi is a typical example of an irrational number. so, this second answer is correct.
sqrt(10) < 3.16666666666...
so, Y=sqrt(10) and not 3.166666666..., so the third answer is already wrong there.
and consequently, Z=3.166666... and not sqrt(10), so the fourth answer is therefore also wrong.
the superintendent of a school district must decide whether to hire additional teachers. if she hires the teachers, the student-teacher ratio will drop by 2, and student performance will improve. under the assumption that student performance is measured by a test score, she estimated a regression model using the test score as the dependent variable, and the student-teacher ratio as the independent variable. the intercept and the coefficient are estimated to be 800 and -8, respectively. if she hires additional teachers to reduce the ratio by 2, what would be its predicted effect on the test score? a. the test score will decrease by 800 points. b. the test score will increase by 792 points. c. the test score will increase by 8 points. d. the test score will increase by 16 points. e. the test score will decrease by 8 points.
We are given a regression model: test score = 800 - 8(student-teacher ratio)
If the student-teacher ratio drops by 2, then the new ratio is (old ratio - 2).
So, the new predicted test score is:
test score = 800 - 8(new ratio)
= 800 - 8(old ratio + (-2))
= 800 - 8(old ratio) - 8(-2)
= 800 - 8(old ratio) + 16
Therefore, the predicted effect on the test score is an increase of 16 points.
So, the answer is (d) the test score will increase by 16 points.
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A binomial experiment consists of 14 trials. The probability of success on trial 7 is 0. 55. What is the probability of success on trial 11?.
Answer: Using the conditions required for a binomial experiment, the probability of success is the same for each trial in the experiment, Hence, the probability of failure on trial 11 will be 0.16 . The probability of success, p = 0.84; the probability of failure can be expressed as; p(failure) = 1 - p(success) = 1 - 0.84 = 0.16 . The probability of success or failure in each and every trial of a binomial experiment is the same and hence, does not change from trial to trial. Therefore, the probability of failure in the 11th trial is 0.16.
Step-by-step explanation: Generally, one the attributes of a binomial experiment is that the probability of success and failure is constant every trial so given from the question that the probability of success is 0.84 for trial 7, then the probability of failure of trial 7 will be evaluated as => q=1-0.84. q=0.16. And from the attribute stated above the probability of failure of trial 11 is q=0.16
Help please! I have to finish this by today.
14.025, 40/3, square root 170, 14%
Calculator, the end
Answer: Answers
Step-by-step explanation:
The first option
PLEASE HELP QUICK. WILL GIVE BRAINLEIST.
The average age of three people running for election is 42. A forth person joins the race and the average drops to 40. What is the forth persons age?
Answer Options:
A. 32
B. 34
C. 35
D. 36
E. 40
Answer: B. 34
Step-by-step explanation:
3.12 If h(t)= [u(t-1)- u(t - 4)] and x(t) = t[u(t)- u(t-2)], obtain graphically the response y(t). For what value of t does y(t) reach its maximum value?
The response y(t) graphically, we can first plot the individual functions h(t) and x(t) on a graph, and then determine their convolution to obtain y(t). Let's go step by step:
Plotting h(t):
The function h(t) is defined as h(t) = [u(t-1) - u(t-4)].
The unit step function u(t-a) is 0 for t < a and 1 for t ≥ a. Based on this, we can plot h(t) as follows:
For t < 1, h(t) = [0 - 0] = 0
For 1 ≤ t < 4, h(t) = [1 - 0] = 1
For t ≥ 4, h(t) = [1 - 1] = 0
So, h(t) is 0 for t < 1 and t ≥ 4, and it jumps up to 1 between t = 1 and t = 4. Plotting h(t) on a graph will show a step function with a jump from 0 to 1 at t = 1.
Plotting x(t):
The function x(t) is defined as x(t) = t[u(t) - u(t-2)].
For t < 0, both u(t) and u(t-2) are 0, so x(t) = t(0 - 0) = 0.
For 0 ≤ t < 2, u(t) = 1 and u(t-2) = 0, so x(t) = t(1 - 0) = t.
For t ≥ 2, both u(t) and u(t-2) are 1, so x(t) = t(1 - 1) = 0.
So, x(t) is 0 for t < 0 and t ≥ 2, and it increases linearly from 0 to t for 0 ≤ t < 2. Plotting x(t) on a graph will show a line segment starting from the origin and increasing linearly with a slope of 1 until t = 2, after which it remains at 0.
Obtaining y(t):
To obtain y(t), we need to convolve h(t) and x(t). Convolution is an operation that involves integrating the product of two functions over their overlapping ranges.
In this case, the convolution integral can be simplified because h(t) is only non-zero between t = 1 and t = 4, and x(t) is only non-zero between t = 0 and t = 2.
The convolution y(t) = h(t) * x(t) can be written as:
y(t) = ∫[1,4] h(τ) x(t - τ) dτ
For t < 1 or t > 4, y(t) will be 0 because there is no overlap between h(t) and x(t).
For 1 ≤ t < 2, the convolution integral simplifies to:
y(t) = ∫[1,t+1] 1(0) dτ = 0
For 2 ≤ t < 4, the convolution integral simplifies to:
y(t) = ∫[t-2,2] 1(t - τ) dτ = ∫[t-2,2] (t - τ) dτ
Evaluating this integral, we get:
\(y(t) = 2t - t^2 - (t - 2)^2 / 2,\) for 2 ≤ t < 4
For t ≥ 4, y(t) will be 0 again.
Maximum value of y(t):
To find the value of t at which y(t) reaches its maximum value, we need to examine the expression for y(t) within the valid range 2 ≤ t < 4. We can graphically determine the maximum by plotting y(t) within this range and identifying the peak.
Plotting y(t) within the range 2 ≤ t < 4 will give you a curve that reaches a maximum at a certain value of t. By visually inspecting the graph, you can determine the specific value of t at which y(t) reaches its maximum.
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A coffee shop is running a promotion where a number of free coffee samples are given away each day. The equation above can be used to model the number of free coffee samples, y, that remain to be given away x days after the promotion began. What does it mean that (11, 0) is a solution to this equation?
110xy = 1,210
A) During the promotion, 11 samples are given away each day.
B) It takes 11 days during the promotion to see 1,210 customers.
C) It takes 11 days during the promotion until none of the samples are remaining.
D) There are 11 samples available at the start of the promotion
Answer:
C
Step-by-step explanation:
First, let us clarify what (11, 0) represent
(x, y) ---> (11, 0)
The values are as followed:
x = 11
y = 0
If the problem states that x is the number of days after the promotion started, then it will be 11 days.
When we assert that it has been 11 days, we rule answers A and D.
If the problem states that y is the number of free coffee samples that remain after 11 days (because x is included in this statement), then it will be 0 samples.
Therefore, the answer will be C. After 11 days of the promotion, there will be 0 samples that are left.
3√-64/125 evaluate -4/5 -825 8/25 4/5
Answer:
a
Step-by-step explanation:
3rd root of 64=4
3rd root of 125=5
=-4/5 since there's a negative inside
which solution represents the inequality
Answer:
j
Step-by-step explanation:
a researcher wishes to see if there is a difference between the mean number of hours per week that a family with no children participates in recreational activities and a family with children participates in recreational activities. she selects two random samples and the data are shown. use for the mean number of families with no children. at , is there a difference between the means? use the critical value method and tables. no children children
To test if there is a difference between the means of the two populations, we can perform a two-sample t-test. The null hypothesis is that there is no difference between the mean number of hours per week that a family with no children participates in recreational activities and a family with children participates in recreational activities.
Let's assume that the researcher has collected the following data:
Sample of families with no children: n1 = 30, sample mean = 4.5 hours per week, sample standard deviation = 1.2 hours per week.
Sample of families with children: n2 = 40, sample mean = 3.8 hours per week, sample standard deviation = 1.5 hours per week.
Using the critical value method, we need to calculate the t-statistic and compare it to the critical value from the t-distribution table with n1+n2-2 degrees of freedom and a significance level of α = 0.05.
The formula for the t-statistic is:
t = (x1 - x2) / sqrt(s1^2/n1 + s2^2/n2)
where x1 and x2 are the sample means, s1 and s2 are the sample standard deviations, and n1 and n2 are the sample sizes.
Plugging in the numbers, we get:
t = (4.5 - 3.8) / sqrt((1.2^2/30) + (1.5^2/40)) = 2.08
The degrees of freedom for the t-distribution is df = n1 + n2 - 2 = 68.
Using a t-distribution table, we find the critical value for a two-tailed test with α = 0.05 and df = 68 is ±1.997.
Since our calculated t-statistic of 2.08 is greater than the critical value of 1.997, we can reject the null hypothesis and conclude that there is a statistically significant difference between the mean number of hours per week that a family with no children participates in recreational activities and a family with children participates in recreational activities.
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What is the center of a circle whose equation is x2 y2 4x â€" 8y 11 = 0? (â€"2, 4) (â€"4, 8) (2, â€"4) (4, â€"8)
Given the equation x² + y² + 4x - 8y + 11 = 0, the center of the circle is (-2, 4).
The standard form of the equation of circle is given by
(x - h)² + (y - k)² = r²
where (h , k) is the location of the center and r is the radius of the circle.
On the other hand, the general form of the equation of circle is given by
x² + y² + Dx + Ey + F = 0
where D = -2h, E = -2k, and F = h² + k² - r².
If the equation of the circle in general form is x² + y² + 4x - 8y + 11 = 0, then the coefficients are:
D = 4
E = -8
F = 11
If D = -2h and D = 4, then
4 = -2h
h = -2
If E = -2k and E = -8, then
-8 = -2k
k = 4
Hence, the center of the circle is (h, k) = (-2, 4).
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11. Engineering The maximum load for a certain elevator is 2000 pounds. The total
weight of the passengers on the elevator is 1400 pounds. A delivery man who weighs
243 pounds enters the elevator with a crate of weight w. Write, solve, and graph an
inequality to show the values of w that will not exceed the weight limit of the elevator.
The inequality to show the values of [w] that will not exceed the weight limit of the elevator is w + 1643 ≤ 2000. On solving the inequality, we get w ≤ 357. The graph of the inequality is attached.
What is inequality?In mathematics, an inequality is a relation which makes a non-equal comparison between two numbers or other mathematical expressions. It is used most often to compare two numbers on the number line by their size.An inequality is a mathematical relationship between two expressions and is represented using one of the following -≤ : less than or equal to
≥ : greater than or equal to
< : less than
> : greater than
≠ : not equal to
Given is the maximum load for a certain elevator is 2000 pounds. The total weight of the passengers on the elevator is 1400 pounds. A delivery man who weighs 243 pounds enters the elevator with a crate of weight [w].
We can write the inequality as follows -1400 + 243 + w ≤ 2000
w + 1643 ≤ 2000
Solving the inequality, we get -w + 1643 ≤ 2000
w ≤ 2000 - 1643
w ≤ 357
Refer to the graph attached.Therefore, the inequality to show the values of [w] that will not exceed the weight limit of the elevator is w + 1643 ≤ 2000. On solving the inequality, we get w ≤ 357. The graph of the inequality is attached.
To solve more questions on inequalities, we get -
https://brainly.com/question/11897796
#SPJ1
30X1.20 solve this in expanded please.
(this isn't probably middle school but brainly only gives me that option)
Answer:
36
Step-by-step explanation:
30×1.20
30×120/100
3×12/1
36