Answer:
183.3
Step-by-step explanation:
Since there were 1 angle and 2 sides, I used law of cosines
You have 2 jars of marbles. The first jar contains a blue marble, a yellow marble, and a purple marble. The second jar contains a green marble, a blue marble, and a pink marble. Write out the sets that represent all the colors of the marbles.
The set containing all the colors of the marbles is given as follows:
{blue, yellow, purple, green, pink}.
What is the set of elements?A set of elements is composed by elements that respect a given characteristic, or are present in an experiment.
In this problem, we need to find the colors present in each marble, which are given as follows:
First jar: Blue marble, yellow marble and purple marble.Second jar: Green marble, blue marble and pink marble.Then we have to list all these colors in a set, which are opened and closed by the brackets {}.
The color blue appears in both sets, however, it will appear only once in the set of the colors, as the elements are not repeated.
Thus, the set containing all the colors of the marbles is given by the set presented as follows:
{blue, yellow, purple, green, pink}.
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Given the circle below with secants JKL and NML, find the length of JK. Round to the nearest tenth if necessary.
Using the Intersecting secants theorem, the length of JK in the given diagram is 17
Intersecting secants theorem: Calculating the length of of JKFrom the question, we are to determine the length of JK in the given diagram.
The diagram shows a circle with intersecting secants.
From the Intersecting secants theorem which states that "if two secant segments are drawn to a circle from an exterior point, then the product of the measures of one secant segment and its external secant segment is equal to the product of the measures of the other secant segment and its external secant segment".
Then,
We can write that
JK × KL = NM × ML
From the given diagram,
KL = 14
NM = 14
ML = 17
Substituting the values
JK × 14 = 14 × 17
JK = (14 × 17) / 14
JK = 17
Hence, the length of JK is 17
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Two-fifths of Aika’s stamp collection are European stamps.
One-half of her European stamps are from France.
What fraction of Aika’s stamps are from France?
1. 4/5
2. 1/5
3. 1/10
4. 3/10
Answer:
2. ⅕
Step-by-step explanation:
⅖ = European (½) = 2/10 = ⅕
120 + [5(10 + 2)]
Need help
Answer: The answer is 180
Step-by-step explanation: i hope this helped
Isaiah is starting his own gardening business. Isaiah thinks he can charge $15.50 per hour. If he knows he
will only be able to work 140 hours per month (that's 35 hours per week), how much money will he earn
each month?
Answer:
About $1627.5
Step-by-step explanation:
15.50 x 35 = 542.5
542.5 x 3 (the amount of weeks in a month) = $1627.5
Arrange the following temperatures in ascending order and descending order.
a) 37°C, -15°C, 16°C, -12°C, 0°C, 96°C, -73°C
b) 20°C, -1°C -15°C 0°C, -7°C, 23°C, -36°C.
Answer:
a) -73°C, -15°C, -12°C, 0°C, 16°C, 37°C, 96°C
a) 96°C, 37°C, 16°C, 0°C, -12°C, -15°C, -73°C
b) -36°C, -15°C, -7°C, -1°C, 0°C, 20°C, 23°C
b) 23°C, 20°C, 0°C, -1°C, -7°C, -15°C, -36°C
Find an expression which represents the sum of (-6x + 9y) and (-10x – 6y) in
simplest terms.
Answer:
-16x+3y
Step-by-step explanation:
sum=add
(-6x + 9y)+(-10x – 6y)
Combine like terms
-6x+(-10x)
-16x
9y+(-6y)
3y
-16x+3y
(2x^2-9x-5) \div(x-5)
Answer:2x+1
Step-by-step explanation:
who were the first Muganda
Answer: wakanda fo eva
Step-by-step explanation:
what is1/3 as a whole number
Answer:
0
Step-by-step explanation:
there is no way to convert it to a whole number so it would be 0
12 eggs cost 3 dollers how much is one egg
Work Shown:
12 eggs = 3 dollars
12/12 eggs = 3/12 dollars
1 egg = 0.25 dollars
1 egg = 25 cents
Answer:
.25 cents
Step-by-step explanation:
3/12= .25
.25 x 12= 4.00
find f(2) PLEASE HELP SOLVE!! MATH!!!
The numeric value of the function f(x) = 14/[3 + ae^(kx)] at x = 2 is given as follows:
f(2) = 0.172.
How to obtain the numeric value of the function?The function for this problem is defined as follows:
f(x) = 14/[3 + ae^(kx)]
When x = 0, y = 2, hence we can obtain the coefficient a as follows:
2 = 14/(3 + a)
6 + a = 14
a = 8.
Hence:
f(x) = 14/[3 + 8e^(kx)]
When x = 1, y = 1/2, hence the coefficient k is given as follows:
0.5 = 14/(3 + 8e^k)
1.5 + 4e^k = 14
4e^k = 12.5
e^k = 12.5/4
k = ln(12.5/4)
k = 1.14.
Hence:
f(x) = 14/[3 + 8e^(1.14x)]
Then the numeric value of the function at x = 2 is given as follows:
f(2) = 14/[3 + 8e^(1.14(2))]
f(2) = 0.172.
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finding values of products and quotient functions
\(( \frac{r}{s} )(3) = \)
The product and the quotient of the functions are as follows:
(rs)(4) =8
(r / s)(3) = 2
How to solve function?A function relates input and output. It relates an independent variable with a dependent variable.
Therefore, let's solve the function as follows:
r(x) = 2√x
s(x) = √x
Therefore, let's find
(rs)(4) = r(4) × s(4) = 2√4 × √4 = 4 × 2 = 8
Let's find
(r / s)(3) = r(3) / s(3) = 2√3 / √3 = 2
Therefore,
(rs)(4) =8
(r / s)(3) = 2
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Which of the following is equivalent to (2a+1)(2a+1)?
O (2a + 1)2
O 4a + 2
O 2(2a + 1)
O4a²+1
The equivalent expression is (2a + 1)².
Option (A) is correct.
What is a Polynomial?Polynomial, a mathematical expression made comprised of numbers and variables arranged in specific patterns. They serve as the foundation for solving algebraic equations.
As per the given data in the question:
We are given an expression, and we have to find out the equivalent expression from the given options in the question.
The expression is (2a + 1)(2a + 1)
For option (A). (2a + 1)²
In (2a + 1)(2a + 1) using associative multiplication.
= 2a.2a + 2a + 2a + 1
= 4a² + 4a + 1
Using the identity: a² + 2ab + b² = (a + b)²
4a² + 4a + 1 = (2a + 1)²
The equivalent expression is (2a + 1)².
Hence, The equivalent expression is (2a + 1)².
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Write an equation for the line parallel to the line -7x - 7y= 7 through the point (-1,2)
Answer:
\(y=-x+1\)
Step-by-step explanation:
Slope-Intercept Formula:It helps to write the equation in slope-intercept formula to find the slope of an equation in the form: \(y=mx+b\) where "m" is the slope of the equation. We can take the equation given: \(-7x-7y=7\) and solve for "y" to get the equation in slope-intercept form:
\(-7x-7y=7\)
add 7x to both sides:
\(-7y=7x+7\)
Divide both sides by -7
\(y=-x-1\)
Now in this form we can tell that the coefficient of "x" (the m value) is our slope, which is -1. We need this slope to determine a parallel line as parallel lines share the same slope but different y-intercepts. So a general equation for a parallel line would be:
\(y=-x+b\text{ where b }\ne -1\)
We're given the point (-1, 2) and we can use it to solve for that "b" value.
We plug in -1 as x and 2 as y
\(2=-1(-1)+b\implies 2=1+b\implies 1=b\)
Now we just plug this into the general equation to get: \(y=-x+1\)
VERY EASY, WILL GIVE 50 POINTS FOR CORRECT ANSWER ASAP AND WILL GIVE BRAINLIEST.
Exhibit 9-2 The manager of a grocery store has taken a random sample of 100 customers. The average length of time it took the customers in the sample to check out was 3.1 minutes. The population standard deviation is known to be 0.5 minute. We want to test to determine whether or not the mean waiting time of all customers is significantly more than 3 minutes. Refer to Exhibit 9-2. At a .05 level of significance, it can be concluded that the mean of the population is _____.
Answer:
At a .05 level of significance, it can be concluded that the mean of the population is significantly more than 3 minutes.
Step-by-step explanation:
We want to test to determine whether or not the mean waiting time of all customers is significantly more than 3 minutes.
At the null hypothesis, we test if the mean is of at most 3 minutes, that is:
\(H_0: \mu \leq 3\)
At the alternative hypothesis, we test if the mean is of more than 3 minutes, that is:
\(H_1: \mu > 3\)
The test statistic is:
\(z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}\)
In which X is the sample mean, \(\mu\) is the value tested at the null hypothesis, \(\sigma\) is the standard deviation and n is the size of the sample.
3 is tested at the null hypothesis:
This means that \(\mu = 3\)
The manager of a grocery store has taken a random sample of 100 customers. The average length of time it took the customers in the sample to check out was 3.1 minutes. The population standard deviation is known to be 0.5 minute.
This means that \(n = 100, X = 3.1, \sigma = 0.5\)
Value of the test statistic:
\(z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}\)
\(z = \frac{3.1 - 3}{\frac{0.5}{\sqrt{100}}}\)
\(z = 2\)
P-value of the test and decision:
The p-value of the test is the probability of finding a sample mean above 3.1, which is 1 subtracted by the p-value of z = 2.
Looking at the z-table, z = 2 has a p-value of 0.9772.
1 - 0.9772 = 0.0228
The p-value of the test is of 0.0228 < 0.05, meaning that the is significant evidence to conclude that the mean of the population is significantly more than 3 minutes.
Picture of coordinates (5,4) (3,4)
On a Cartesian plan
Both the coordinate points are plotted on the graph. The cartesian graph is attached with the answer.
What are coordinates?Coordinates are numbers which determine the position of a point or a shape in a particular space (a map or a graph). In the cartesian coordinate system, the coordinates are of the form (x, y).Other coordinate systems are : cylindrical and spherical coordinate systemGiven are the two coordinates to be plotted on a Cartesian plan -
(5, 4) , (3, 4).
The two given coordinate points are (5, 4) , (3, 4).
Refer to the graph attached. It shows both the points plotted.
Therefore, both the coordinate points are plotted on the cartesian graph.
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PLEASE HELP BOTS HAVE BEEN COMMENTING ON MY POSTS ALL DAY I NEED AN REAL ANSWER PLEASE IM DEPERATE
Hellppppp I’m timeddddd
Answer:
Step-by-step explanation:
55/4 + x = 29/4
x = 29/4 - 55/4
x = -26/4 = -4 2/4 = -6 1/2
answer is C
Write the slope-intercept equation of the line passing through (3.5) and (10.-7). Do not give decimals in your answer.
Answer:
Answer:
y = -12/7x + 71/7
Step-by-step explanation:
y2 - y1 / x2 - x1
-7 - 5 / 10 - 3
-12/7
y = -12/7x + b
5 = -12/7(3) + b
5 = -36/7 + b
71/7 = b
what is 1/2 + 1/3 i know it’s so simple i’m just so bad at maths
which value of x is in the domain of f(x) = root x - 7a. x = 6b. x = 0c. c = -3d. x = 8
Solution
We want to find the domian of
\(f(x)=\sqrt{x-7}\)The domain of the function is
\(\begin{gathered} x-7\ge0 \\ \\ x\ge7 \end{gathered}\)So in the option any number greater than 7 belong to the domain and it is the answer
Therefore, the answer is
\(8\)Given that R= 7x + 7y
Find r when y = 2 and R=8
find x
Give your answer as a fraction in its simplest form.
Answer:
Step-by-step explanation:
564/5
What is the slope of the line that passes through the points (3, 1) and (–2, 5)? Responses −5/4 − 5/4 −4/5 − 4/ 5 4/5 5/4
Answer:-4/5
Step-by-step explanation:
I need help answering this question Also, provide domain and range of the function.
The y value of the functions when x is less than -1 is y = 2. The y values of the function when x is bigger than 2 is y = -1; also the filled circle is the one at y = 2. Then the rule for the function is:
Option A:
\(f(x)=\begin{cases}2,\text{ if }x\le-1 \\ -1,\text{ if }x>2\end{cases}\)Domain of f(x):
The domain are all the values of x for which f(x) is defined. Since there is a leap from x = -1 to x = 2, the domain is:
Interval notation:
\(\text{ The domain is }(-\infty,-1\rbrack\cup(2,\infty)\)Range of f(x):
The range are all the values of y that the function gets. We have two values, -1 and 2
\(\text{ The range is }\mleft\lbrace-1,2\mright\rbrace\)Choose the equation of a line with a slope m = 1/8 and a point (8,-2) on the line.
Ans is b i think Step-by step explanation
Step-by-step explanation:
Answer:
y=1/8x−3
Step-by-step explanation:
A family has inherited $300,000. If they choose to invest the $300,000 at 12\% per year compounded quarterly, how many quarterly withdrawals of $25000 can be made? (Assume that the first withdrawal is three months after the investment is made).
Step-by-step explanation:
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use the graph to estimate the solution 8. y = x + 4 y = 3x - 1
The Slope-Intercept form of the equation of a line is:
\(y=mx+b\)Where "m" is the slope of the line and "b" is the y-intercept.
1. In this case, you have the first equation of the line in Slope-Intercept form:
\(y=x+4\)You can identify that:
\(\begin{gathered} m=1 \\ b=4 \end{gathered}\)The line intersects the x-axis when the value of "y" is:
\(y=0\)Substituting this value into the equation and solving for "x", you get that the x-intercept is:
\(\begin{gathered} 0=x+4 \\ x=-4 \end{gathered}\)Now you graph the first line.
2. The second line is:
\(y=3x-1\)You can see that:
\(\begin{gathered} m=3 \\ b=-1 \end{gathered}\)Find the x-intercept applying the same procedure used for the first line:
\(\begin{gathered} 0=3x-1 \\ 1=3x \\ \\ x=\frac{1}{3} \\ \\ x\approx0.33 \end{gathered}\)Now you can graph the second line.
See the graph below:
The point of intersection between the lines is the solution of the System of equations. Then, you can estimate that the solution is:
\(\begin{gathered} x=2.5 \\ y=6.5 \end{gathered}\)Please find the Y for both of these equation
4x - y = 4
X-2y=-6
Answer:
1). y= -4+ 4x
2). y= 3+ x/2
Step-by-step explanation:
hope this helps !