Answer:
871 and 1/2 feet is correct
Step-by-step explanation:
write .9333 as a fraction
Answer:
9333/10000
Step-by-step explanation:
To write .9333 as a fraction you have to write .9333 as the numerator and put 1 as the denominator. Then you multiply the numerator and the denominator by 10.
Find the slope of the line graphed below.
Answer:-3 over 7
Step-by-step explanation:
rise over run
Which is the graph of the linear inequality y < 3x + 1?
3
1
3
4.
5
Answer:
Image below
Step-by-step explanation:
Hey there!
Well lets graph the given inequality,
y < 3x + 1
Look at the image below.
So the right graph should look like the image below.
Hope this helps :)
math help on this question!
Answer:
94
Step-by-step explanation:
sum of all angles in a triangle=180
total angle=3
sum of two angles=86
3rd angle=180-86=94
what is the sum of -5 + (-3)
Answer:
-8
Step-by-step explanation:
Both the numbers are negative so you add them together and keep the negative sign
Answer:
-8
Step-by-step explanation:
when negative and positive meet, the negative dominates the positive thereby making it negative.
-5 + (-3)
-5 - 3
-8
Can someone help me!!!
Answer:
Step-by-step explanation:
Hello, please consider the following.
First of all, we need to complete the squares, then move the constant to the right side, as below.
[tex]x^2+y^2+4x-10y-7=0\\\\(x+2)^2-4+(y-5)^2-25-7=0\\\\(x+2)^2+(y-5)^2=36=6^2[/tex]
And then, we can read the answers from the rearranged equation.
(a) The centre is then (-2,5)
(b) The radius is 6
Thank you.
1. There are 125 juniors at the high school.How many ways can they elect a
president,vice president, and secretary?
2. Determine the number of 4-letter arrangements that can be made using the
word RHOMBUS.
Answer: 1. 1,906,500
2. 840
Step-by-step explanation:
1. Given: There are 125 juniors at the high school.
Total positions = 3 [president,vice president, and secretary]
Then, Number of ways to elect a president,vice president, and secretary( which is in order) out of 125 juniors = [tex]^{125}P_{3}=\dfrac{125!}{(125-3)!}[/tex] [Using permutations]
[tex]=\dfrac{125!}{122!}\\\\=\dfrac{125\times124\times123\times122!!}{122!}\\\\=125\times124\times123\\\\=1906500[/tex]
Hence, Required ways =1906500
(2) Given word : "RHOMBUS"
Total letters= 7
By permutation, the umber of 4-letter arrangements = [tex]^7P_4=\dfrac{7!}{(7-4)!}=\dfrac{7!}{3!}[/tex]
[tex]=\dfrac{7\times6\times5\times4\times3!}{3!}\\\\= 7\times6\times5\times4\\\\=840[/tex]
Hence, required ways = 840
Answer:
1) The number of ways = 1906500.
2) The number of ways = 840.
1) President, vice president, and secretary are 3 different positions.
There are total 125 students.
So we can select them in [tex]125P3=\frac{125!}{\left(125-3\right)!}=1906500[/tex] ways.
2) There are total 7 different letters in RHOMBUS.
We can select 4 different letters from 7 letters in [tex]7P4=\frac{7!}{\left(7-4\right)!}=840[/tex].
Learn more: https://brainly.com/question/13769924
Describe in words the region of double-struck R3 represented by the equation: x2 + z2 ≤ 36.
Answer:
Step-by-step explanation:
Given that:
[tex]x^2 + z^2 \leq 36[/tex]
if we assume that x is zero, then [tex]z^2 = 36[/tex] , [tex]z = \pm \sqrt{36}[/tex] [tex]z = \pm 6[/tex] i.e the radius of the circle goes from -6 to +6, Similarly, if we assume that z is zero, then [tex]x^2 = \pm 36[/tex] , [tex]x = \pm \sqrt{36}[/tex] , [tex]x = \pm 6[/tex] . This implies that [tex]x^2 + z^2[/tex] describes the circle with radius 6
[tex]x^2 + z^2 \leq 36[/tex] is an equation at region which consist of those points whose distance from the centre is at least with radius -6 and at most 6.
Therefore, the region is the solid cylinder of radius 6, where the Y axis is also the axis of the cylinder.
A rod was cut into 3 piece the length of the 3 piece are in the ratio of 5 : 3 :2 if the shortest is 25cm how long was the rod
Answer:
125 cm
Step-by-step explanation:
Ratio of pieces of the rod:
5:3:2In total, the rod is equal to:
5x+3x+2x= 10xSince the shortest peace:
2x = 25 cm,Length of the rod:
10x = 5* 2x = 5* 25 cm = 125 cmQuestion is clipped on .
Answer:
Option (A)
Step-by-step explanation:
AE and RV are the two line segments intersecting at a point N.
Therefore, ∠ANR ≅ ∠ENV [Vertical angles are equal in measure]
(8x + 12)° = (5x + 57)°
8x - 5x = 57 - 12
3x = 45
x = 15
Since, m∠ENV = 5(15) + 57
= 75 + 57
= 132°
Therefore, Option (A) will be the answer.
A manufacturer knows that their items have a normally distributed lifespan, with a mean of 12.3 years, and standard deviation of 0.8 years. If you randomly purchase one item, what is the probability it will last longer than 14 years
Answer:
probability of lasting longer = 1.7%
Step-by-step explanation:
We are given:
x' = 14 years
μ = 12.3 years
s = 0.8 years
Thus, let's use the formula for the Z-score value which is;
z = (x' - μ)/s
Thus;
z = (14 - 12.3)/0.8
z = 2.125
From the z-distribution table attached, the p-value is ;
P(x' > 2.125) = 1 - 0.983 = 0.017 = 1.7%
Thus,probability of lasting longer = 1.7%
Explain how to use estimation to help find the product of two decimals
Answer:
1. Estimate the product.
2. Multiply to find the product. Multiply the decimals as if they were whole numbers. Ignore the decimal point.
3. Compare your estimate with your product to verify that your answer makes sense.
lif a/b =⅔ find the value of 2a²+3b²/a²+b²
Answer:
95/4
Step-by-step explanation:
Given,
a/b =2/3
Therefore, 2a²+3b²/a²+b² = ?
We get,
a/b = 2/3
So, we can write
a = 2 and b = 3
Now,
2×(2)² + 3×(3)²/(2)² + (3)² [Putting the values of a and b]
= 2×4 + 3×9/4 + 9
= 8 +27/4 + 9
= (32+27+36)/4 [ Taking L.C.M, we get 4]
= 95/4
if tan tetha =8/15,find the value of sin tetha+cos tetha all divided by cos tetha (1-cos tetha)
Answer: 195.5 or 12 7/32
Step-by-step explanation:
There is no letter tetha in the table so I use α instead. However it is not sence to final result.
The expression is:
(sinα+cosα)/(cosα*(1-cosα))
Lets divide the nominator and denominator by cosα
(sinα/cosα+cosα/cosα)/(cosα*(1-cosα)/cosα)= (tanα+1)/(1-cosα)=
=(8/15+1)/(1-cosα)= 23/(15*(1-cosα)) (1)
As known cos²α=1-sin²α (divide by cos²α both sides of equation)
cos²a/cos²α=1/cos²α-sin²α/cos²α
1=1/cos²α-tg²α
1/cos²α=1+tg²α
cos²α=1/(1+tg²α)
cosα=sqrt(1/(1+tg²α))= +-sqrt(1/(1+64/225))=+-sqrt(225/(225+64))=
=+-sqrt(225/289)=+-15/17 (2)
Substitute in (1) cosα by (2):
1st use cosα=15/17
1) 23/(15*(1-cosα)) =23/(15*(1-15/17))= 23*17/2=195.5
2-nd use cosα=-15/17
2)23/(15*(1-cosα)) =23/(15*(1+15/17))= 23*17/32=12 7/32
Aaliyah is drawing a ball from one bag and a tile from another bag. The first bag contains 4 green balls and 4 yellow balls. The second bag
contains tiles numbered 1 through 5.
What is the probability that she draws a green ball and a tile numbered with 4?
Step-by-step explanation:
P(green AND 4)
= P(green) × P(4)
= (4/8) × (1/5)
= 1/10
Using probabilities of independent events, it is found that there is a 0.1 = 10% probability that she draws a green ball and a tile numbered with 4.
-------------------
A probability is the number of desired outcomes divided by the number of total outcomes.If two events, A and B, are independent, the probability of both happening together is the multiplication of the probabilities of each happening.-------------------
Event A: Green ball, 4 out of the 8 balls are green, thus, [tex]P(A) = \frac{4}{8} = 0.5[/tex]Event B: Tile numbered with 4, which is one of the five, thus, [tex]P(B) = \frac{1}{5} = 0.2[/tex]The probability of both events is given by:
[tex]P(A \cap B) = P(A) \times P(B) = 0.5(0.2) = 0.1[/tex]
0.1 = 10% probability that she draws a green ball and a tile numbered with 4.
A similar problem is given at https://brainly.com/question/24174994
Marc mixes blue and yellow paint to make his favorite shade of green, which he'll use to paint his house. He has 14 cans of blue paint and 20 cans of yellow paint when he starts. He wants the same green color every time he mixes, so the amounts of blue and yellow must always be proportional to the original mixture. On day 1, he mixes 4 cans of blue and 6 cans of yellow. On day 2, he mixes 6 cans of blue and 9 cans of yellow.
The ratio of blue paints to yellow paint is a mixture of 2 : 3.
What is the ratio of two quantities?Suppose that we've got two quantities with measurements as 'a' and 'b'
Then, their ratio(ratio of a to b) a:b
or
[tex]\dfrac{a}{b}[/tex]
The Total cans of blue paint = 14
Total cans of yellow paint = 20
Day 1:
Yellow paint = 6 cans
Blue paint = 4 cans
The ratio of blue paints to yellow paint
= 2 : 3
Day 2:
Yellow paint = 9 cans
Blue paint = 6 cans
The ratio of blue paints to yellow paint
2 : 3
Day 3:
Cans of yellow remaining after 2 days
Yellow paint = Total cans of yellow paint - day 1 cans of yellow paint - day 2 cans of yellow paint
= 20 - 6 - 9
= 20 - 15
= 5 cans
Cans of blue remaining after 2 days
Blue paint = Total cans of blue paint - day 1 cans of blue paint - day 2 cans of blue paint
= 14 - 4 - 6
= 14 - 10
= 4 cans
Learn more about ratios here:
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when x =7, x²-2x+6=
Answer:
41
Step-by-step explanation:
step 1. first, you should plug in all the x's. x² is 49, 2x is 14. The
equation would then be 49-14+6 which is 41
2x would be 2 x 7 because when 2 numbers are touching, they are to be multiplied.
x² would be 7 x 7 because, when you have a number to the power of 2, you multiply it by itself.
and finally you would get, 49-14+6 and according to PEMDAS, the eqaution hsould go left to right leaving us with the answer of 41.
i hope you understand this. :)
Answer:
41
Step-by-step explanation:
x²-2x+6
Let x = 7
7^2 -2*7 +6
49 -14 +6
41
(26÷13)⋅(−7)+14−4 ?
Answer:
the answer is -4 I think
Answer:
−4
Step-by-step explanation:
(26 ÷ 13) ⋅ (−7) + 14 − 4 =
= 2 ⋅ (−7) + 14 − 4
= −14 + 14 − 4
= 0 − 4
= −4
Social Security is taxed at 6.2% up to $128,400. Medicare is taxed at 1.45%. How much
Social Security and Medicare tax should be collected from someone who earns $135,000?
$7,590.50
$9,450.35
$9,918.30
$10,817.25
Answer:
$9918.30
Step-by-step explanation:
The total tax is ...
6.2% × $128,400 + 1.45% × $135,000 = $7960.80 +1957.50
= $9,918.30
Noah finds an expression for V(x) that gives the volume of an open-top box in cubic inches in terms of the length x in inches of the cutout squares used to make it. This is the graph Noah gets if he allows x to take on any value between -1 and 5.
Answer:
for more appropriate it would be 0-2.5, and the max is 15
Step-by-step explanation:
The domain of a graph is the possible x-values of the graph, while the range is the possible y-values.
The proper domain of Noah's graph is 0 to 2.5The maximum volume of the graph is 15From the attached graph (see attachment), we have the following observations.
The x values starts from -1 and ends at 5The domain of the graph is from 0 to 4 (i.e. x-values 0 to 4 have corresponding y-values on the graph)x-values 0 to 2.5 have corresponding non-negative y-valuesOther values of x have corresponding negative y-valuesThe maximum of the graph is at y = 15Because the volume of a box cannot be negative, the x-values to use must correspond to non-negative y-values.
Hence, the proper domain of Noah's graph should be 0 to 2.5
And the maximum of the graph is at y = 15
Read more about domain and graphs at:
https://brainly.com/question/1982148
One Friday, Vace gave 11 more flu shots than Mike did. Together they gave 53 flu shots. How many flu shots did Vace give?
Answer:
32
Step-by-step explanation:
53 - 11 is 21, so they each gave 21, but vace gave 11 more so you add 11 to get 32
Suppose there are 200 lockers and 200 students. Kayla reasons that since there are 10
lockers opened in the first 100 lockers (i.e. between 1 and 100) there must be 10 lockers
opened in the next 100 (i.e. between 101 and 200). Is Kayla's reasoning correct? Explain
why or why not.
Answer:
Kayla's reasoning is not correct.
Step-by-step explanation:
The locker problem is as follows:
Imagine you are at a school that has student lockers. There are 200 lockers, all shut and unlocked, and 200 students. Suppose the first student goes along the row and opens every locker. The second student then goes along and shuts every other locker beginning with number 2. The third student changes the state of every third locker beginning with number 3. (If the locker is open the student shuts it, and if the locker is closed the student opens it). The fourth student changes the state of every fourth locker beginning with number 4. Imagine that this continues until the 200 students have followed the pattern with the 200 lockers. At the end, which lockers will be open and which will be closed? Why?
Solution:
So from the information we know that the first student goes along the row and opens every locker.
Then the second student shuts every other locker, i.e. locker numbers 2, 4, 6, 8, 10, ..., 196, 198 and 200.
Then the third students changes the state of every third locker, i.e. he/she closes an open locker and opens a closed locker.
So the open lockers are: 1, 5, 6, 12,...
Then the fourth students changes the state of every fourth locker.
So the open lockers are: 1, 4, 5, 6, 8,....
So, on we will observe that the open lockers have a perfect square number such as, 1, 4, 9, 16,....
Consider that the pattern is as follows:
Student 1 opens the locker, Student 2 closes it, Student 3 opens it, person 4 Student and so on.
This is because the square numbers always have an odd number of factors, which leads them to be open at the end.
Take any locker number, 40, for example. Its state (open or closed) is changed for every student whose number in line is a factor of the locker number.
Student Locker 40 status
1 Open
2 Close
4 Open
5 Close
8 Open
10 Close
20 Open
40 Close
Like all other lockers numbered with non-square numbers, it ends up closed after all the students have gone through the line because it has an even number of factors.
Consider the locker number 16:
Student Locker 16 status
1 Open
2 Close
4 Open
8 Close
16 Open
Thus, we can conclude that all the doors with square numbers on them will remain open because all square numbers have an odd number of factors and the doors with non-square numbers on them will remain close because they have even number of factors.
There will be a total of 14 lockers open.
1, 4, 9, 16, 25, 36, 49, 64, 81, 100, 121, 144, 169 and 196
So, if there are 10 lockers open in the first 100 lockers there must be only 4 other lockers opened in the next 100.
The average score for all basketball players in a particular season has a mean of 75 and a standard deviation of 3.5. Suppose 49 played basketball today. Find the probability that the average score of the 49 players exceeded 76
Answer:
0.0228
Step-by-step explanation:
Given that:
mean (μ) = 75, Standard deviation (σ) = 3.5
The z score is a score used in statistics to measure by how many standard deviations the raw score is above or below the mean. If the z score is positive, it means that the raw sore is above the mean and if the z score is negative then the raw score is below the mean. The z score is given by:
[tex]z=\frac{x-\mu}{\sigma}\\ \\For\ a\ sample \ n, the\ z\ score\ is:\\ \\z=\frac{x-\mu}{\frac{\sigma}{\sqrt{n} } }[/tex]
For x > 76 and a sample (n) = 49:
[tex]z=\frac{x-\mu}{\frac{\sigma}{\sqrt{n} } }\\\\z=\frac{76-75}{\frac{3.5}{\sqrt{49} } }=2[/tex]
From the normal distribution table, the probability that the average score of the 49 players exceeded 76 = P(x > 76) = P(z > 2) = 1 - P(z < 2) = 1 - 0.9772 = 0.0228
solve z^2-2z-35=0 using zero product
Answer: z = 7 or z=-5
Step-by-step explanation:
First you need to factor the polynomial.
To factor [tex]z^{2}[/tex] - 2z -35 You will need to find two numbers that their product is -35 and their sum is -2 and the numbers -7 and 5 works out.
Rewrite the polynomial as,
[tex]z^{2}[/tex] - 7z + 5z - 35 = 0 factor the left by grouping
([tex]z^{2}[/tex] -7z) (5z -35) = 0
z(z -7) 5(z - 7) = 0 Factor out z-7
(z-7)(z+5) = 0 Now apply the zero product by setting each of them equal 0.
z-7= 0 or z+5=0
+7 +7 -5 -5
z = 7 or z= -5
2,793,000,000 in scientific notation
Answer:
2.793109
Step-by-step explanation:
Jack has 20 more stamps than Dylan has. Together they have 46 stamps. Find the number of stamps each has.
Answer: Jack has 33 and Dylan has 13
Explanation: 33 + 13 = 46 and 13 + 20 = 33
List the coordinate of point Q' when the figure is reflected over the x-axis.
Answer:
The coordinate of point Q' is (3 , 4).
A water park charges $5 for entry into the park and an additional $2 for each of the big water slides. Steven spent $17 on his visit to the water park. Which equation can be used to find the number of big water slides, x, that Steven went on? (1 point)
Answer:
5+2x
Step-by-step explanation:
Answer:
Let X= Additional Amount
Equation= 5+2x=17
-5 -5
__________
2x=12
_______
2 2
X=6 is the answer, Hope that helped ya.
Step-by-step explanation:
Find the 6 trìg functions
I hope this helps you
let's find AB
AB=square root of 2^2+3^2
AB=square root of 13
cosO=2/sqrt13
sinO=3/sqrt13
tgO=3/2
ctgO=2/3
Zamba has found a little black dress on sale for 50% off the original price of $239.99. She also has a coupon offering free shipping and an additional 10% off of her entire online purchase. If she buys the dress and a pair of shoes costing $34.70, how much will she pay for her ensemble?
108.00
$139.23
$94.23
$104.70