What is the length of x?
Answer:
The length of 'x' is 4
Step-by-step explanation:
We can use the pythagorean theorem to solve this.
The pythagorean theorem is:
[tex]a ^{2} + b^{2} = {c}^{2} [/tex]
[tex]a ^{2} + b^{2} = c^{2} \\ {3}^{2} + {b}^{2} = 5^{2} \\ 9 + {b}^{2} = 25 \\ \frac{ - 9 \: \: \: \: \: \: \: \: = - 9}{b ^{2} = \sqrt{16} } \\ b = 4[/tex]
Therefore x = 4
Evaluate the expression 2x + xy if x = 2 and y = 14?
use distributive property to simplify -1(4+x)=6
Answer:
[tex]\huge\boxed{\boxed{x=-10}}[/tex]
Step-by-step explanation:
Hello.
The Distributive Property states that
a(b+c)=ab+ac
Simplify:
-1(4+x)=6
-4-x=6
Add 4 to both sides:
-4+4-x=6+4
-x=10
Divide both sides by -1 in order to get rid of the minus sign:
x=-10
And we're done!
I hope it helps & have an outstanding day!
~ST2710 :)
Using two normal number cubes, what is the probability of rolling numbers
that add up to 4?
A. 1/18
B. 1/36
C. 1/12
D. 1/9
Answer:
1/12
Step-by-step explanation:
When we roll 2 dice, there are 36 possible rolls
How can we get 4
1and 3, 3 and 1, 2 and2 = 3 different rolls
P( 4) = number of rolls with sum of 4/ total rolls
= 3/36 = 1/12
Fun fact
I need help :(
Answer:
9
5
Step-by-step explanation:
Wyatt's class:
Each group of 3 students eats 1 1/2 pizzas.
There are 18 students.
18/3 = 6
There are 6 groups of 3 students.
Since each group of 3 students eats 1 1/2 pizzas, 6 groups eat
6 * 1 1/2 = 6 * 3/2 = 18/2 = 9
Answer: 9 pizzas
Jennifer's class:
There are 15 students. Each student eats 1/3 of a pizza.
15 * 1/3 = 15/3 = 5
Answer: 5 pizzas
Answer:
9
5
x²-x-6
What is hcf of the polynomial
Answer:
the highest common factor of the polynomial is (x + 2) (x - 3)
Step-by-step explanation:
The computation of the highest common factor of the polynomial is as follows:
According to the question, the following equation is given
'[tex]x^2 - x - 6[/tex]
Now do the factorization
[tex]x^2 -3x + 2x - 6[/tex]
x(x - 3) +2 (x - 3)
(x + 2) (x - 3)
hence, the highest common factor of the polynomial is (x + 2) (x - 3)
The same is to be considered
The sum of Jack and his father’s ages is 52. Jack’s father’s age is 2 less than 5 times Jack’s age. Find the ages of Jack and his father. Question 5 options: 10, 42 9, 43 9, 61 9, 45
Answer:
43 9
Step-by-step explanation:
sum of their ages is 52
let Jack's age be x = 5×x= 5x
his father's age is 2<5x
how can you isolate the varible f
Answer:
Step-by-step explanation:
The basic technique to isolate a variable is to “do something to both sides” of the equation, such as add, subtract, multiply, or divide both sides of the equation by the same number. By repeating this process, we can get the variable isolated on one side of the equation.
2b+ f + d + 3b + 2f + 2d + 8
Answer:
Did you want me to simplify the expression???
Step-by-step explanation:
3f+5b+3d+8
Each patron pays an annual fee of $36 to the library at the library collects $20,304 for an annual fee how many patrons are there
If the trapezoid is reflected over JH, a hexagon will be
created
Answer: 8 units
Step-by-step explanation:
A 10 pound bag of grapes costs $14.00. How many pounds of grapes can you get for $7.00?
Given: FG is an altitude. What can you conclude?
O
Answer:
A or B
Step-by-step explanation:
Its more likely B
Please help me I mark u brainiest like it and rate it five stars please help
Answer:
The 30, goes all the way down, in the empty spot by the 2, put in a 5, then below it a 10
Step-by-step explanation:
Answer:
30/ [5x2]
30/ 10=3
Step-by-step explanation:
Can someone who is good at math help me with my homework I can pay you!!!
Helppppppppp please?
Answer:
c. 2640
Step-by-step explanation:
20 x 12 x 11 = 2640
Answer: C. 2,640
Step-by-step explanation:
Select the correct statement about the function represented by the table.
Answer:
the answer is d because it
(1 point) A recent report for a regional airline reported that the mean number of hours of flying time for its pilots is 56 hours per month. This mean was based on actual flying times for a sample of 51 pilots and the sample standard deviation was 9.5 hours.2. Calculate a 90% confidence interval estimate of the population mean flying time for the pilots. Round your result to 4 decimal places.( , )3.Using the information given, what is the smallest sample size necessary to estimate the mean flying time with a margin of error of 1.25 hour and 90% confidence
Answer:
(53.812 ; 58.188) ; 156
Step-by-step explanation:
Given that :
Sample size (n) = 51
Mean (m) = 56
Standard deviation (σ) = 9.5
α = 90%
Using the relation :
Confidence interval = mean ± Error
Error = Zcritical * (standard deviation / sqrt (n))
Zcritical at 90% = 1.645
Error = 1.645 * (9.5 / sqrt(51))
Error = 1.645 * 1.3302660
Error = 2.1882877
Hence,
Confidence interval :
Lower boundary = 56 - 2.1882877 = 53.8117123
Upper boundary = 56 + 2.1882877 = 58.1882877
Confidence interval = (53.812 ; 58.188)
2.)
Margin of Error (ME) = 1.25
α = 90%
Sample size = ((Zcritical * σ) / ME)^2
Zcritical at 90% = 1.645
Sample size = ((1.645 * 9.5) / 1.25)^2
Sample size = (15.6275 / 1.25)^2
Sample size = 12.502^2 = 156.3000
Sample size = 156
Helppppppppppppppppppppppppp please :)
Answer:
use your scientific calculator and click shift + mode or just mode , after that select the table option and enter the equation that u see and then set the step to 1 (start = -2 , end = 3) and step =1
This one too!!! This is from the same project that I was struggling with and was similar to the other problem but I couldn't figure it out.
9514 1404 393
Answer:
y = 1/4x^1 -x -4
Step-by-step explanation:
Same question as previous parts. The working is identical, using different numbers.
Focus-vertex distance is (y-difference) p = -4-(-5) = 1. Vertex is (h, k) = (2, -5). Putting these values into the vertex form and expanding to standard form, you get ...
y = (1/(4p))(x -h)^2 +k
y = 1/4(x -2)^2 -5 . . . . . . . . fill in the values for p, h, k
y = 1/4(x^2 -4x +4) -5 . . . . expand the square
y = 1/4x^2 -x +1 -5 . . . . . . . use the distributive property to eliminate parens
y = 1/4x^1 -x -4 . . . . . . . . . collect terms
_____
Additional information may be found at ...
https://brainly.com/question/20338735
Which is an x-intercept of the graphed function?
O (0,4)
O(-1,0)
O (4, 0)
O (0,-1)
Answer:
(x, y)
(-1,0)
since the rest of the points aren't in the multiple choice well it's (-1,0)
The solution is : the correct option is (B) (-1, 0), is an x-intercept of the graphed function.
Here, we have,
We are given to find the x-intercepts of the graphed function.
We know that
x-intercepts of a function are the points on the X-axis through which the graph of the function is crossing.
From the graph, we see that
the curve is crossing the X-axis at the points (-2, 0) and (-1, 0) .
Therefore, the x-intercept of the given function is (-1, 0).
Option (B) is CORRECT.
To learn more on function click:
brainly.com/question/21145944
#SPJ7
What is the value of a3 - b2 for a = 3 and b =1/2 ?
Step-by-step explanation:
a = 3[tex]b = \frac{1}{2} [/tex]Answer
[tex] {a}^{3} - {b}^{2} [/tex]
[tex] = {3}^{3} - { \frac{1}{2} }^{2} [/tex]
[tex] = 27 - \frac{1}{4} [/tex]
[tex] = \frac{107}{4} [/tex]
[tex] = 26 \frac{3}{4} [/tex]
sorry if wrong :)
Answer this question please thanks
Answer:
The amount of intrest gained was B. $7.50
Step-by-step explanation:
Mark invested $125.
He gaines 3% per year and he did it for 2 years.
.03 x 2 =.06
125 x .06 = 7.50
B. $7.50
Hope this helps!
:)
What is 35% of 200?
i will gove you brainless
Answer:
the answer is 70
Step-by-step explanation:
Given the following list of data, find the median.
1,3, 1.23, 2, 4, 22, 13, 26. 8
Answer:
solution
or, (N+1) th item
_
2
or ,8+1 th item
_
2
or,9
_
2
or,4.5 th item hence the median is4
The median of the given numbers will be 8.5.
What is the median?The Median is the middlemost value of the numbers arranged in ascending orders. If the number of the data is an odd number so the median will be a middle number if the number of the data is even then the median is the mean of the middle two numbers.
The given data is:-
1 , 1.23 , 2 , 3 , 4 , 13 , 22 , 26.8
The total numbers of the data are 8 so the median will be calculated as:-
Median = ( 4 + 13 ) / 2
Median = 17 / 2
Median = 8.5
Therefore the median of the given numbers will be 8.5.
To know more about median follow
https://brainly.com/question/26151333
#SPJ2
What is the value of x in the equation of y=6x+2.3
Answer:
The answer is x=y/6 - 0.383 (3 being repeated) , hope this helps you.
Step-by-step explanation:
Isolate the variable by dividing each side by factors that don't contain the variable.
Answer:
I think it is x=y/6 - 0.383 (3 being repeated)
Step-by-step explanation:
Hope this helped have an amazing day!
Simplify:
9x/2 - 4x - 3 = ?
Answer: Um, I think is [tex]\frac{x}{2-3}[/tex].
Step-by-step explanation:
You employ 21 people making an average of $49,000 per year. You want to give every employee a 5% increase for next year. What will be the total increase in your company's annual payroll?
a) $48.000
b) $50,085
c) $51,450
d) $54,250
Answer:
c) $51,450
Step-by-step explanation:
Current payroll:
21 * 49000 = $1,029,000
Payroll after 5% increase:
1029000 * 1.05 = $1,080,450
Difference between after increase and current payroll:
1080450 - 1029000 = $51,450
Help me ASAP please
What is the value of sin {3sin^-1 (2/5)} ?
Answer:
[tex]\displaystyle \frac{118}{125}[/tex]
Step-by-step explanation:
Trigonometry
Calculate
[tex]\sin (3\sin^{-1}(2/5))[/tex]
We use the formula for the sine of triple angle:
[tex]\sin 3x=3\sin x-4\sin^3 x[/tex]
And recall:
[tex]\sin \sin^{-1}x=x[/tex]
For this problem, we set:
[tex]x=\sin^{-1}(2/5)[/tex]
Thus:
[tex]\sin 3x=3\sin (\sin^{-1}(2/5))-4\sin^3 (\sin^{-1}(2/5))[/tex]
[tex]\displaystyle \sin 3x=3*\frac{2}{5}-4\left(\frac{2}{5}\right)^3[/tex]
[tex]\displaystyle \sin 3x=\frac{6}{5}-4*\frac{8}{125}[/tex]
[tex]\displaystyle \sin 3x=\frac{6}{5}-\frac{32}{125}[/tex]
[tex]\displaystyle \sin 3x=\frac{6*25}{125}-\frac{32}{125}[/tex]
[tex]\displaystyle \sin 3x=\frac{150-32}{125}[/tex]
[tex]\mathbf{\displaystyle \sin 3x=\frac{118}{125}}[/tex]