Answer:
2
Step-by-step explanation:
The required length of the DF on the line segment is 21 units.
Given that,
The points C, D, E, and F all lie on the same line segment, in that order, such that the ratio of CD:DE: EF is equal to 3:2:1, If CF=42,
To determine the length of the segment DF
The ratio can be defined as the proportion of the fraction of one quantity towards others. e.g.- water in milk.
Here,
Total of the ratios
CF = 3x + 2x + 1x
CF = 6x
6x = 42
x = 7
Now,
DF = DE + DF
DF = 2x + 1x
DF = 2 * 7 + 7
DF = 14 + 7
DF = 21
Thus, the required length of the DF on the line segment is 21 units.
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Which statement is true?
Answer:
your right
Step-by-step explanation:
5 2/3 multiplied by 4 1/2
Answer:
[tex] 25\frac{1}{2} [/tex]
Step-by-step explanation:
[tex]5 \frac{2}{3} \times 4 \frac{1}{2} \\ \\ = \frac{5 \times 3 + 2}{3} \times \frac{4 \times 2 + 1}{2} \\ \\ = \frac{15 + 2}{3} \times \frac{8 + 1}{2} \\ \\ = \frac{17}{3} \times \frac{9}{2} \\ \\ = \frac{17}{1} \times \frac{3}{2} \\ \\ = \frac{51}{2} \\ \\ = 25 \frac{1}{2} [/tex]
50 PONTIS Score for Question 3: ___ of 5 points) 3. Solve the given inequality and graph the solution on a number line. Show your work! -2x + 3 < 5
Answer:
If x equals -1 or anything less than -1, then the inequality statement is false
Step-by-step explanation:
So to find the number x has to be for the statement to be false, we have to find what number x would be to make it so both sides equal the same thing. So in this case, it would be -1 because 5-3 equals 2 and -2x=2 only if x=-1. So anything greater than -1 would make the statement true.
I hope this helped.
Answer:
x > - 1 or x = (-1, + oo)Step-by-step explanation:
GivenInequality
-2x + 3 < 5To findSolve and graphSolution-2x + 3 < 5-2x < 5 - 3-2x < 2x > - 1x = (-1, + oo)As per above, the graph covers all numbers to the right from the point -1
The graph is attached
What are the reasons you would "flip" or reverse the inequality symbol in your answer?
When you multiply both sides by a negative value you make the side that is greater have a "bigger" negative number, which actually means it is now less than the other side! This is why you must flip the sign whenever you multiply by a negative number.
P= 2/ + 2w Find The Width
9514 1404 393
Answer:
W = P/2 -L
Step-by-step explanation:
Divide by 2 and subtract L.
P = 2L +2W
P/2 = L +W
P/2 -L = W
The width is ...
W = P/2 -L
i’ll mark brainlest to whoever answers this question first! :)
Answer:
me
Step-by-step explanation:
Patty walked 2/5 of a mile in 5 1/2 minutes. At this rate, how long will it take Patty to walk 3 miles?
Answer:
41.25 minutes i think sorry if its wrong
How do I find x in this equation?
Answer:
Exact Form:
x
=29/20
Decimal Form:
x=1.45
Mixed Number Form:
x=1 9/20
Step-by-step explanation:
I did that before trust me I know
Can someone help me plz
Answer:
Answer 3
Step-by-step explanation:
Answer:
A. 27
Step-by-step explanation:
trust me
What is the rate of change of the function?
O -3. O -1/3. O 1/3. O 3
Answer:
I think it's 1/3
Step-by-step explanation:
because yo can see that in y-1, x=1 then in y0, x=1.3 and it keep going
4 pound tomato cost 14 dollar how much does 1 pound cost
Answer:$3.50
Step-by-step explanation:
14/4 =3.5. To check answer multiply 3.5 by 4. You get 14
Andre paid $13 for 3 books. Diego bought 12 books priced at the same rate.
How much did Diego pay for the 12 books?
PLEASE INCLUDE AN EXPLANATION
Answer:
$36
Step-by-step explanation:
i dont know how to explain it but heres the number answer
Answer:
well 3÷13= 4.33 and 4.33×12=52
(9x-2y)/xy when x-4 and y=-2
Answer:
-5
Step-by-step explanation:
Answer:
GIVEN x=4 and y=-2
So, in (9x-2y)/xy when we apply x=4 and y=-2
{9(4)-2(-2)}/(4)(-2)
36+4/-8
40/-8
-5/1
=-5
A coordinate plane with 2 lines. The first line is labeled y equals f(x) and passes through (negative 1, 2), (0, 2), and (2, 2). The second line is labeled y equals g(x) and passes through (negative 0.5, negative 2), points at (0, negative 1), and (1, 1). The lines intersect at (1.5, 2).
Use the graph to determine the input value for which f(x) = g(x) is true.
x = 0.5
x = 1
x = 1.5
x = 2
Answer:
C) x=1.5
Step-by-step explanation:
Hope This Helps!
Answer:
it is c!
Step-by-step explanation:
top one is correct
200m - 100m + 48,250 = 50,250 - 150m
Answer:
Ok sorry but I have a very strong feeling that this isn't a college question because I am in an 8th grader taking Algebra 1 and this is sooooo simple.
Step-by-step explanation:
the answer is
8=m
The Hindu Arabic Numeral for XCIS ? is 111 or 90 or 91 or 1000?
Answer:
there's no S .X=1 ,Xc=9.So 91
A coral reef grows 0.12 minutes every week. How much does it grow in 8 weeks?
Answer:
0.96
Step-by-step explanation:
0.12 x 8 = 0.96
Rephrase: what is 35% of $120?
Two sides of a triangle have lengths 5 and 4. Which of the following can NOT be the length
of the third side?
A.1
B.4
C.2
D.3
Answer:
im guessing b.4
Step-by-step explanation:
It is not possible to have a) 1 as one f the third side of the triangle
What is triangle inequality theorem ?
It defines the relationship between the sides `of a triangle .
The triangle inequality theorem states that sum of length of two sides of a triangle is greater than the length of the third side .
a + b > c
correct answer option a) 1
it is not possible to make a triangle if one side is 1 because triangle inequality theorem will be violated
1 + 4 = 5 and not greater than 5
hence , not possible
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In an auditorium, the front 39 rows with 53 seats in each row are for kids while all 53 seats in each of the remaining 61 rows are for adults. How many seats are there in the auditorium?
Answer:
The auditorium has a total of 5,300 seats
Step-by-step explanation:
The seats for kids can be calculated by multiplying the number of rows by the number of seats per row:
Seats for kids=39*53 =2,067 seats
The seats for adults are calculated in a similar way:
Seats for adults = 61*53= 3,233 seats
Total seats: 2,067+3,233 = 5,300
The auditorium has a total of 5,300 seats
help. will give brainly to correct answer. please.
Answer:
Last option; 5/2+ i5/2
05.02)One triangle on a graph has a vertical side of 7 and a horizontal side of 12. Another triangle on a graph has a vertical side of 28 and a horizontal side of 48.
Could the hypotenuses of these two triangles lie along the same line?
Yes, because they are similar triangles
Yes, because all triangles can fit along this line
No, because they need to be the same size
No, because they are not similar triangles
Answer:
B
Step-by-step explanation:
7 x 4 = 28
12 x 4 = 48
The higher numbers might be higher on the line but still in the same line :)
Answer:
A
Yes, because they are similar triangles
Step-by-step explanation:
Each angle increases by four
Triangle one is 7 and 12
Triangle two is 28 and 48
7 x 4 = 28
12 x 4 = 48
According to the Vivino website, the mean price for a bottle of red wine that scores 4.0 or higher on the Vivino Rating System is $32.48. A New Englandâbased lifestyle magazine wants to determine if red wines of the same quality are less expensive in Providence, and it has collected prices for 56 randomly selected red wines of similar quality from wine stores throughout Providence. The mean and standard deviation for this sample are $30.15 and $12, respectively.
Required:
a. Develop appropriate hypotheses for a test to determine whether the sample data support the conclusion that the mean price in Providence for a bottle of red wine that scores 4.0 or higher on the Vivino Rating System is less than the population mean of $32.48.
b. Using the sample from the 60 bottles, what is the test statistic?
c. At α = 0.05, what is your conclusion?
Answer:
a
The null hypothesis is [tex]H_o : \mu = 32.48[/tex]
The alternative hypothesis is [tex]H_a : \mu < 32.48[/tex]
b
[tex]t = -1.504[/tex]
c
There is no sufficient evidence to conclude that the mean price in Providence for a bottle of red wine that scores 4.0 or higher on the Vivino Rating System is less than the population mean of $32.48
Step-by-step explanation:
From the question we are told that
The mean price of is [tex]\mu = \$ 32.48[/tex]
The sample size is n = 56
The sample mean is [tex]\= x = \$30.15[/tex]
The standard deviation is [tex]\sigma = \$12[/tex]
The null hypothesis is [tex]H_o : \mu = 32.48[/tex]
The alternative hypothesis is [tex]H_a : \mu < 32.48[/tex]
Generally the test statistic is mathematically represented as
[tex]t = \frac{\= x - \mu }{\frac{\sigma }{\sqrt{n} } }[/tex]
=> [tex]t = \frac{30.15 - 32.48 }{\frac{12 }{\sqrt{60} } }[/tex]
=> [tex]t = -1.504[/tex]
Generally the p-value is mathematically represented as
[tex]p-value = P (t < -1.504 )[/tex]
From the z-table
[tex]P(t < -1.504) = 0.066291[/tex]
So
[tex]p-value = 0.066291 [/tex]
From the value we obtain we see that
[tex]p -value > \alpha[/tex]
Then we fail to reject the null hypothesis
Hence there is no sufficient evidence to conclude that the mean price in Providence for a bottle of red wine that scores 4.0 or higher on the Vivino Rating System is less than the population mean of $32.48
90% of babies are born with a certain ailment recover fully.
Hello! Your answer to this question is Yes!
Step-by-step explanation:
About 90% of babies born with a certain ailment recover fully. A hospital is caring for sixsix babies born with this ailment. The random variable represents the number of babies that recover fully. Decide whether the experiment is a binomial experiment.
818 divided by 34 in standard althriam
(1-cos^2 60°)+(1-sin^2 60°)=tan^2 60°
How do you do this question?
Answer: Convergent; converges to 9/5 = 1.8
======================================================
Explanation:
The expression 8/(n^2-1) is the same as 8/( (n+1)(n-1) )
Use partial fraction decomposition to get
8/( (n+1)(n-1) ) = A/(n+1) + B/(n-1)
8 = (n+1)(n-1)*( A/(n+1) + B/(n-1) )
8 = A(n-1) + B(n+1)
8 = An-A + Bn+B
0n + 8 = (A+B)n + (-A+B)
We can see that
[tex]\begin{cases}A+B = 0\\-A+B = 8\end{cases}[/tex]
Use elimination to get 2B = 8 which leads to B = 4
Plug B = 4 into either equation of that system to solve for A getting A = -4
Therefore,
8/( (n+1)(n-1) ) = A/(n+1) + B/(n-1)
8/( (n+1)(n-1) ) = -4/(n+1) + 4/(n-1)
--------------------------------------------
Why do all this? Because it'll be helpful to set up the telescoping sum
Let's plug in a few values of n. Let's say from n = 5 to n = 10
If we do so, then we have...
-4/(5+1)+4/(5-1) = -4/6 + 4/4
-4/(6+1)+4/(6-1) = -4/7 + 4/5
-4/(7+1)+4/(7-1) = -4/8 + 4/6
-4/(8+1)+4/(8-1) = -4/9 + 4/7
-4/(9+1)+4/(9-1) = -4/10 + 4/8
-4/(10+1)+4/(10-1) = -4/11 + 4/9
I'm not evaluating or simplifying further because we'll have cancellations as shown in the diagram below. The left panel is what you see before cancelling happens, and the right hand panel is what happens after the terms pair up and cancel (since those pairs add to 0).
Note the color coding so you can see what terms pair up and cancel. The only stuff left is the 4/4 and the 4/5
So,
4/4 + 4/5 = 1 + 4/5 = 5/5+4/5 = 9/5 = 1.8
is what the infinite sum converges to. You can use a tool like wolfram alpha to confirm this answer.
A restaurant is making hamburgers. The cooks use 2/3 pounds of beef for each hamburger. If the cooks have 46 and 2/3 pounds of beef, how many hamburgers can they make?
Answer:
They can make 49 hamburgers
Step-by-step explanation:
Answer:
They can make 49 hamburgers
Step-by-step explanation:
There is The Question and answers
Answer: -1/8
Step-by-step explanation:
If a polynomial function f(x) has roots 0, 4, and 3+ V11, what must also be a root of f(x)
Answer:
3-√11 must also be a root of f(x)
Step-by-step explanation: