Answers
Answer:
D
Step-by-step explanation:
when an angle is supplementary to another angle, it means that both of the angles added together equal 180 degrees.
120+60=180.
Related Questions
the number of creeping bentgrass shoots on an average size (6000 square feet) well-maintained putting green can range from ______ shoots.
Answers
The total number of creeping bentgrass shoots on a 6000 square feet putting green could range from approximately 480,000 to 600,000 shoots.
The United States Golf Association (USGA) suggests that a healthy putting green, which is well-maintained, can support around 80 to 100 creeping bentgrass plants in each square foot. As the given putting green is 6000 square feet, we can calculate the total number of creeping bentgrass plants on this area by multiplying the area by the suggested number of plants per square foot. Therefore, the total number of creeping bentgrass shoots on a well-maintained 6000 square feet putting green could range from approximately 480,000 to 600,000 shoots, based on the given range of suggested plants per square foot.
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(4) Practice: Using Visual Cues
Answers
Step-by-step explanation:
Refer to pic..........
Please figure out #3. I’ll mark brainliest for right answer.
Answers
Answer:
We are given the cost equations for Emma's and Madison's text message plans as:
Emma's Plan: y = 0.10x + 10
Madison's Plan: y = 0.15x
where y is the cost in dollars and x is the number of texts sent. We are also told that Emma and Madison paid the same amount in one month. Let's set the two equations equal to each other and solve for x:
0.10x + 10 = 0.15x
Subtracting 0.10x from both sides, we get:
10 = 0.05x
Dividing both sides by 0.05, we get:
x = 200
Therefore, Emma and Madison sent 200 text messages in one month to pay the same amount
locate the absolute extrema of the function
on the closed interval
Answers
Answer:
To find the integral of f(x) = 2x + 5/3 over the interval [0, 5], we can use the definite integral formula:
∫[a,b] f(x) dx = F(b) - F(a)
where F(x) is the antiderivative of f(x).
First, we find the antiderivative of f(x):
F(x) = x^2 + (5/3)x + C
where C is the constant of integration.
Next, we evaluate F(5) and F(0):
F(5) = 5^2 + (5/3)(5) + C = 25 + (25/3) + C
F(0) = 0^2 + (5/3)(0) + C = 0 + 0 + C
Subtracting F(0) from F(5), we get:
∫[0,5] f(x) dx = F(5) - F(0)
= 25 + (25/3) + C - C
= 25 + (25/3)
= 100/3
Therefore, the definite integral of f(x) = 2x + 5/3 over the interval [0, 5] is 100/3.
Mr. Nkalle invested an amount of N$20,900 divided in two different schemes A and B at the simple interest
rate of 9% p.a. and 8% p.a, respectively. If the total amount of simple interest earned in 2 years is N$3508,
what was the amount invested in Scheme B?
Answers
Answer:
Let's assume that Mr. Nkalle invested an amount of x in Scheme A and (20900 - x) in Scheme B.
The simple interest earned on Scheme A in 2 years would be:
SI(A) = (x * 9 * 2)/100 = 0.18x
The simple interest earned on Scheme B in 2 years would be:
SI(B) = [(20900 - x) * 8 * 2]/100 = (3344 - 0.16x)
The total simple interest earned in 2 years is given as N$3508:
SI(A) + SI(B) = 0.18x + (3344 - 0.16x) = 3508
0.02x = 164
x = 8200
Therefore, Mr. Nkalle invested N$8200 in Scheme A and N$12700 (20900 - 8200) in Scheme B. So the amount invested in Scheme B was N$12700.
A normal distribution is informally described as a probability distribution that is "bell-shaped" when graphed. Draw a rough sketch of a curve having the bell shape that is characteristic of a normal distribution.
Choose the correct answer below.
A.
A symmetric curve is plotted over a horizontal scale. From left to right, the curve starts on the horizontal scale and rises at a decreasing rate to a central peak before falling at an increasing rate to the horizontal scale.
B.
A symmetric curve is plotted over a horizontal scale. From left to right, the curve starts above the horizontal scale, falls from the horizontal at an increasing rate, then falls at a decreasing rate to a central minimum before rising at an increasing rate, then rising at a decreasing rate, and finally becoming nearly horizontal.
C.
A symmetric curve is plotted over a horizontal scale. From left to right, the curve starts on the horizontal scale, rises from horizontal at an increasing rate, then rises at a decreasing rate to a central peak before falling at an increasing rate, then falling at a decreasing rate, and finally approaches the horizontal scale.
Answers
The correct answer is C. A normal distribution is a symmetric probability distribution that is bell-shaped when graphed. When plotted on a horizontal scale, the curve starts on the horizontal axis, rises to a central peak, and then falls back to the horizontal axis.
The curve is symmetric, meaning that the left and right halves of the curve are mirror images of each other. The curve approaches the horizontal axis but never touches it, which indicates that there is a non-zero probability of observing values at any distance from the mean, although the probability decreases as the distance from the mean increases.
Normal distribution is a type of probability distribution that is commonly found in natural and social phenomena, where the majority of the observations tend to cluster around the mean, with fewer observations further away from the mean.
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Find the perimeter of the triangle whose vertices are (−4,3), (−4,1), and (−5,−4). Write the exact answer. Do not round.
Answers
Answer:
2 + √[26] + √[50]
Step-by-step explanation:
To find the perimeter of a triangle with vertices given in the coordinate plane, we need to calculate the distance between each pair of vertices and then add them up.
Using the distance formula, the distance between the first two vertices is:
√[(x2 - x1)^2 + (y2 - y1)^2] =
√[(-4 - (-4))^2 + (1 - 3)^2] =
√[0 + 4] = 2
The distance between the second and third vertices is:
√[(x2 - x1)^2 + (y2 - y1)^2] =
√[(-5 - (-4))^2 + (-4 - 1)^2] =
√[1 + 25] = √[26]
Finally, the distance between the third and first vertices is:
√[(x2 - x1)^2 + (y2 - y1)^2] =
√[(-4 - (-5))^2 + (3 - (-4))^2] =
√[1 + 49] = √[50]
Therefore, the perimeter of the triangle is:
2 + √[26] + √[50]
This is the exact answer, and we cannot simplify it further.
1 cubic meter = _____ cm cube
Answers
Answer:
1 cubic meter = 1000000 cm cubed
Step-by-step explanation:
[tex]1m^3*10^6=1000000cm^3[/tex]
Answer:
1 cubic meter = 10000000 cm cube
In the Venn diagram below, event A represents the adults who drink coffee, event B represents the adults who drink tea, and event C represents the adults who drink cola.
List the region(s) which represent the adults who drink both coffee and tea.
(Stats)
Answers
Answer:
Regions 1 and 4
Step-by-step explanation:
There are 2 overlapping regions for A (coffee) and B(tea)
These are Region 4 which represents the adults who drink both coffee and tea but not cola
and
Region 1 which represents the adults who drink coffee, tea and cola
So combined these two regions we get all adults who drink both coffee and tea
HELP ASAP WILL GIVE BRAINLYEST AND 100 POINTS
IF YOU DON"T TRY TO ANSWER THE QUESTION RIGHT I WILL REPORT YOU
Answers
Answer:
The order from least to greatest is:
8.2 x 10^-7 < 5.8 x 10^-5 < 1.2 x 10^3 < 9.7 x 10^3 < 3.4 x 10^6
Answer:
it is already in the correct order
Step-by-step explanation:
Given, y=a(x−2)(x+4)In the quadratic equation above, a is a nonzero constant. The graph of the equation in the xy-plane is a parabola with vertex (c,d). Which of the following is equal to d?A. -9aB. -8aC. -5aD. -2a
Answers
When the graph of the equation y=a(x−2)(x+4) in the xy-plane is a parabola with vertex (c,d), then the value of d is equal to option (A) -9a
To find the vertex of the parabola, we need to complete the square by factoring out the constant term a and adding and subtracting a term that will allow us to write the quadratic in the form
y = a(x - h)^2 + k,
where (h,k) are the coordinates of the vertex. We have
y = a(x - 2)(x + 4) = a(x^2 + 2x - 8x - 8) = a[(x + 1)^2 - 9]
Expanding the square and factoring out the constant term a, we get
y = a[(x + 1)^2 - 9] = a(x + 1)^2 - 9a
Comparing this to the standard form of the quadratic, we see that the vertex is at (-1,-9a). The value of d is -9a
Therefore, the correct option is (A) -9a
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The data represent the results for a test for a certain disease. Assume one individual from the group is randomly selected. Find the probability of getting someone who tested positive given that he or she had the disease.
Answers
Answer:
To find the probability of getting someone who tested positive given that he or she had the disease, we need to use the formula for conditional probability:
P(positive|disease) = P(positive and disease) / P(disease)
From the given data, we can see that there are 136 individuals who tested positive and actually had the disease. Therefore, P(positive and disease) = 136.
We can also see that there are a total of 136 + 8 = 144 individuals who actually had the disease. Therefore, P(disease) = 144.
Substituting these values into the formula, we get:
P(positive|disease) = 136 / 144
Simplifying, we get:
P(positive|disease) = 0.944
Rounding to three decimal places, we get:
P(positive|disease) ≈ 0.944
Therefore, the probability of getting someone who tested positive given that he or she had the disease is approximately 0.944.
Paul borrowed
$
6
,
000
from a credit union for
5
years and was charged simple interest at a rate of
5.45
%
. What is the amount of interest he paid at the end of the loan?
Answers
Paul paid $1,635 in interest at the end of the loan.
What is simple interest?Simple Interest (S.I.) is the method of calculating the interest amount for a particular principal amount of money at some rate of interest.
According to the given information:The simple interest formula is:
I = P * r * t
where I is the interest, P is the principal (the amount borrowed), r is the annual interest rate as a decimal, and t is the time in years.
In this problem, P = $6,000, r = 0.0545 (since the interest rate is given as 5.45%), and t = 5 years. Plugging in these values, we get:
I = 6,000 * 0.0545 * 5 = $1,635
Therefore, Paul paid $1,635 in interest at the end of the loan.
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Al's total payment for his loan was $34,267. What was his monthly payment if he
paid it off after making 42 monthly payments? Round to the nearest dollar. Do not
state the units.
Answers
Answer: 816
Step-by-step explanation:
Let's denote the monthly payment by x.
Then, Al paid a total of 42x dollars over 42 months.
We know that the total payment for the loan was $34,267. Therefore, we can set up the equation:
42x = 34267
Solving for x, we get:
x = 34267/42
x ≈ 816
So Al's monthly payment was approximately $816.
A fair coin is tossed five times. What is the theoretical probability that the coin lands on the same side every time??
A) 0.1
B) 0.5
C) 0.03125
D) 0.0625
Answers
Answer:
The answer is C
Step-by-step explanation:
Assuming this is a fair coin, the theoretical probability of the coin going on one side, let's say heads, is 50%, or 0.5. So what's the chance the coin lands head 5 times? To do this we do 0.5^5 OR 0.5*0.5*0.5*0.5*0.5. Both of these answers equal 0.03125. So C is the Answer. Hope this helps :D
Multiple Choice
Identify the choice that best completes the statement or answers the question.
0
1. What are the pairs of alternate interior angles?
Answers
The pairs of alternate interior angles are given as follows:
2 and 8.3 and 5.What are alternate interior angles?Alternate interior angles are pairs of angles that are formed when a transversal intersects two parallel lines. Alternate interior angles are located on opposite sides of the transversal and inside the parallel lines.
From the image given at the end of the answer, the parameters for this problem are given as follows:
The two parallel lines are l and k.The transversal line is t.Hence the pairs of alternate interior angles are given as follows:
2 and 8.3 and 5.As they are between lines l and k, on opposite sides of line t.
Missing InformationThe diagram is given by the image presented at the end of the answer.
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a. Using the graph above, how many apricots will the United States import at the world price?
As a consequence of this quota, how many apricots will the United States import now?
thousand tons
How many apricots will domestic producers supply?
thousand tons
Answers
The graph demonstrates that local producers will provide 8,000 tonnes of apricots at the global price of $400 per tonne.
what is graph ?A graph is a visual representation of data that's frequently used to demonstrate how variables relate to one another or to show how trends change over time. Graphs can come in many various forms, including line graphs, bar graphs, pie charts, scatter plots, and more. Graphs are frequently used to simplify the presentation of complicated data in disciplines like economics, mathematics, science, and the social sciences.
given
The graph indicates that the cost of apricots in the globe is $400 per tonne. In the absence of the quota, the US would purchase 5,000 tonnes of apricots at the market rate. The United States will only be permitted to acquire 3,000 tonnes of apricots under the quota, though.
As a result of this quota, the United States will purchase 3,000 tonnes of apricots at the world price.
The graph demonstrates that local producers will provide 8,000 tonnes of apricots at the global price of $400 per tonne.
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Use Mathematical Induction to prove the sum of Arithmetic Sequences:
n
∑
j
=
1
(
a
+
(
j
−
1
)
d
)
=
n
2
(
2
a
+
(
n
−
1
)
d
)
Answers
Answer:
We will use mathematical induction to prove the formula for the sum of arithmetic sequences:
For n=1, we have:
∑j=1^1(a + (j-1)d) = a
On the other hand, we have:
n/2(2a + (n-1)d) = 1/2(2a) = a
Thus, the formula holds for n=1.
Assuming the formula holds for n=k, we will prove that it holds for n=k+1.
We have:
∑j=1^(k+1)(a + (j-1)d) = (a + kd) + ∑j=1^k(a + (j-1)d)
Using the formula for n=k, we can write:
∑j=1^k(a + (j-1)d) = k/2(2a + (k-1)d)
Substituting this back into the first equation, we have:
∑j=1^(k+1)(a + (j-1)d) = (a + kd) + k/2(2a + (k-1)d)
Simplifying the right-hand side, we get:
∑j=1^(k+1)(a + (j-1)d) = 1/2(2a + (2k+1)d)
But (k+1)/2(2a + kd + d) = 1/2(2a + (2k+1)d), so the formula holds for n=k+1.
Therefore, by mathematical induction, the formula for the sum of arithmetic sequences is proved.
A set of sweater prices are normally distributed with a mean of
58
5858 dollars and a standard deviation of
5
55 dollars.
What proportion of sweater prices are between
48.50
48.5048, point, 50 dollars and
60
6060 dollars?
Answers
Answer:
0.6267
Step-by-step explanation:
See the picture.
Hope its clear.
Macy of New York sold LeeCo. of Chicago office equipment with a $6,300 list price. Sale terms were 3/10, n/30 FOB New York. Macy agreed to prepay the $40 freight. LeeCo. pays the invoice within the discount period. What does LeeCo. pay Macy?
Answers
The amount that LeeCo pays Macy for the office equipment at the $6,300 list price, sales terms of 3/10, n/30 FOB with payment made within the discount window, is $6,111.
What is a cash discount?A cash discount refers to a reduction in the price of an item due to payment within the discount period.
A cash discount incentivizes the customer to make prompt payments.
The list price of the equipment = $6,300
Sales terms: 3/10, n/30 FOB
Prepaid freight = $40
Cash discount = $189 ($6,300 x 3%)
Payment after the discount = $6,111 ($6,300 - $189)
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mr Li wishes to give each of his five relatives in China 500 renminbi (RMB) Find the amount he would need in Singapore dollars, if the exchange rate is S$100 to RMB510.20
Answers
Exchange rate calculation.
To find out the amount in Singapore dollars that Mr Li would need to give each of his five relatives 500 RMB each, we can follow these steps:
Calculate the total amount in RMB that Mr Li needs to give:
500 RMB/relative x 5 relatives = 2500 RMB
Convert the total amount in RMB to Singapore dollars using the given exchange rate:
2500 RMB x (S$100/RMB510.20) = S$490.64 (rounded to the nearest cent)
Therefore, Mr Li would need S$490.64 to give each of his five relatives 500 RMB each, given the exchange rate of S$100 to RMB510.20.
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What is the length of LJ?
A) 23.0
B) 17.0
C) 4.7
D) 3.5
Answers
Answer:
The right answer is below
Step-by-step explanation:
4.7 is the length of LJ
select a random integer from -200 to 200. which of the following pairs of events re mutualyle exclusive
Answers
The pairs of events of random integers are pairs of events are,
even and odd , negative and positive integers, zero and non-zero integers.
Two events are mutually exclusive if they cannot occur at the same time.
Selecting a random integer from -200 to 200,
Any two events that involve selecting a specific integer are mutually exclusive.
For example,
The events selecting the integer -100
And selecting the integer 50 are mutually exclusive
As they cannot both occur at the same time.
Any pair of events that involve selecting a specific integer are mutually exclusive.
Here are a few examples,
Selecting an even integer and selecting an odd integer.
Selecting a negative integer and selecting a positive integer
Selecting the integer 0 and selecting an integer that is not 0.
But,
Events such as selecting an even integer and selecting an integer between -100 and 100 are not mutually exclusive.
As there are even integers between -100 and 100.
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8. A rectangle is inch longer
than it is wide.
Let w = width.
Let = length.
Graph=w+
1
l=w+ 2
Answers
To graph the equation l = w + 2, we can use the following steps:
Choose a range of values for the width w that we want to graph. Let's say we choose w = 0 to w = 5.
Plug each value of w into the equation to find the corresponding value of l. For example, when w = 0, l = 0 + 2 = 2. When w = 1, l = 1 + 2 = 3.
w l = w + 2
0 2
1 3
2 4
3 5
4 6
5 7
Plot each point on a coordinate plane using the value of w as the x-coordinate and the value of l as the y-coordinate.
Connect the points with a straight line to create the graph of the equation.
The resulting graph should be a straight line with a slope of 1 and a y-intercept of 2, as shown below:
markdown
Copy code
|
7 |- +
| |
6 |- \
| \
5 |- \
| \
4 |- \
| \
3 |- \
| \
2 |- - - - - - - \
0 1 2 3 4 5 6
w
Note that the graph represents all the possible pairs of width w and length l that satisfy the equation l = w + 2. Since the equation describes a rectangle that is one inch longer than it is wide, we can see that the graph includes all the possible rectangles that fit this description.
|
7 |- +
| |
6 |- \
| \
5 |- \
| \
4 |- \
| \
3 |- \
| \
2 |- - - - - - - \
0 1 2 3 4 5 6
w
Note that the graph represents all the possible pairs of width w and length l that satisfy the equation l = w + 2. Since the equation describes a rectangle that is one inch longer than it is wide, we can see that the graph includes all the possible rectangles that fit this description.
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Calculate the derivative of the following function and simplify.
y = [tex]e^{x} csc x[/tex]
Answers
Answer:
To find the derivative of this function, we'll use the product rule and the chain rule. Let's begin by writing the function in a more readable form using parentheses:
y = e^x * csc(x) * (1 / x) * csc(x)
Now we can apply the product rule, letting u = e^x and v = csc(x) * (1 / x) * csc(x):
y' = u'v + uv'
To find u' and v', we'll need to use the chain rule.
u' = (e^x)' = e^x
v' = (csc(x) * (1 / x) * csc(x))'
= (csc(x))' * (1 / x) * csc(x) + csc(x) * (-1 / x^2) * csc(x) + csc(x) * (1 / x) * (csc(x))'
= -csc(x) * cot(x) * (1 / x) * csc(x) - csc(x) * (1 / x^2) * csc(x) - csc(x) * (1 / x) * csc(x) * cot(x)
= -csc(x) * [cot(x) * (1 / x) + (1 / x^2) + (cot(x) / x)]
Now we can substitute these into the product rule formula:
y' = e^x * csc(x) * (1 / x) * csc(x) * [-cot(x) * (1 / x) - (1 / x^2) - (cot(x) / x)] + e^x * (-csc(x) * cot(x) * (1 / x) * csc(x) - csc(x) * (1 / x^2) * csc(x) - csc(x) * (1 / x) * csc(x) * cot(x))
Next, we can simplify this expression. One way to do this is to factor out common terms:
y' = e^x * csc(x) * (1 / x) * csc(x) * [-cot(x) * (1 / x) - (1 / x^2) - (cot(x) / x)] - e^x * csc(x) * cot(x) * (1 / x) * csc(x) * [1 + (cot(x) / x)]
Now we can simplify further by combining like terms:
y' = e^x * csc(x) * (1 / x) * csc(x) * [-cot(x) * (2 / x) - (1 / x^2)] - e^x * csc(x) * cot(x) * (1 / x) * csc(x) * [1 + (cot(x) / x)]
= e^x * csc(x) * (1 / x) * csc(x) * [-2cot(x) / x - 1 / x^2 - cot(x) / x^2] - e^x * csc(x) * cot(x) * (1 / x) * csc(x) * [1 + cot(x) / x]
At this point, the derivative is simplified as much as possible.
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Kara invests $3,200 into an account with a 3.1% interest rate that is compounded quarterly. How much money will be in this account after 8 years?
Answers
Answer:
We can use the formula for compound interest to solve this problem:
A = P(1 + r/n)^(nt)
where:
A = the amount of money in the account after t years
P = the principal amount (initial investment)
r = the annual interest rate (as a decimal)
n = the number of times the interest is compounded per year
t = the number of years
Plugging in the given values:
P = $3,200
r = 0.031 (3.1% as a decimal)
n = 4 (quarterly compounding)
t = 8
A = 3200(1 + 0.031/4)^(4*8)
A = $4,100.53
Therefore, after 8 years, there will be $4,100.53 in the account.
About 12% of employed adults in the United States held multiple jobs. A random sample of 66 employed adults is chosen. Use the TI-84 Plus calculator as needed. Part: 0/5 Part 1 of 5 (a) Is it appropriate to use the normal approximation to find the probability that less than 8.4% of the individuals in the sample hold multiple jobs? If so, find the probability. If not, explain why not. It (Choose one) appropriate to use the normal curve, since np (Choose one)
Answers
The probability that less than 8.4% of the individuals in the sample hold multiple jobs is approximately 0.0681 or 6.81%.
What is Probability ?
Probability can be defined as ratio of number of favourable outcomes and total number outcomes.
To determine whether it is appropriate to use the normal approximation, we need to check whether the conditions for using the normal distribution are met.
We can use the following criteria:
The sample size is large enough: n × p ≥ 10 and n × (1 − p) ≥ 10
The observations are independent
Here, we are given that the sample size is n = 66. To check the first condition, we need to find the expected number of individuals who hold multiple jobs in the sample, which is given by:
np = 0.12 × 66 = 7.92
n(1-p) = 66 - 7.92 = 58.08
Both np and n(1-p) are greater than or equal to 10. So, the sample size is large enough and the first condition is met.
Additionally, we can assume that the observations are independent since the sample is random and represents less than 10% of the population of employed adults in the United States.
Therefore, it is appropriate to use the normal approximation.
To find the probability that less than 8.4% of the individuals in the sample hold multiple jobs, we need to standardize the sample proportion using the formula:
z = (p'- p) / [tex]\sqrt{(p(1-p) / n)}[/tex]
where p' is the sample proportion, p is the population proportion (0.12), n is the sample size (66), and sqrt represents the square root.
Substituting the values, we get:
z = (0.084 - 0.12) / [tex]\sqrt{((0.12)(1-0.12) / 66)}[/tex] = -1.496
Using a standard normal distribution table, we can find that the probability of z being less than -1.496 is approximately 0.0681.
Therefore, the probability that less than 8.4% of the individuals in the sample hold multiple jobs is approximately 0.0681 or 6.81%.
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4 + 21 20 Step 1 of 2: Solve the inequality and express your answer in interval notation. Use decimal form for numerical values.
Answers
The solution for the given inequality "3x - 5 ≤ 7x + 1" in interval notaton is found out to be (-1.5, ∞).
First of all, we will be simplifying the inequality by subtracting 3x from both sides, we would get,
-5 ≤ 4x + 1
Next, we can subtract 1 from both the sides:
-6 ≤ 4x
Finally, we can divide both sides by 4:
-1.5 ≤ x
So the solution to the inequality is x ≥ -1.5.
Therefore, After xpressing the above inequality in interval notation, the solution is (-1.5, ∞), which means that x is greater than or equal to -1.5 and can take any value up to positive infinity.
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The complete question is :
Solve the inequality and express your answer in interval notation. Use decimal form for numerical values.
3x - 5 ≤ 7x + 1
What is the value of the underlined digit?
5(3)
Enter the correct answer in the box.
Answers
Answer: tens
Step-by-step explanation:
2. write how many degrees are angle between.
a) North and East _______
Answers
Answer:
N and E is 90 degrees
N and S is 180 degrees
N and W is 90 degrees