Answer:
x= -11
Step-by-step explanation:
Rearrange terms
\(-1=\frac{5+x}{6} into -1=\frac{x+5}{6}\)
Multiply all terms by the same value to eliminate fraction denominators
\(-1=\frac{x+5}{6} \\6(1)=6(\frac{x+5}{6} )\)
Cancel multiplied terms that are in the denominator
\(6(-1)=6 (\frac{x+5}{6} )6(-1)=x+5\)
Multiply the numbers
\(6(-1)=x+5\\-6=x+5\)
Subtract 5 from both sides of the equation
\(-6=x+5\\-6-5=x+5-5\)
Simplify
Subtract the numbers
Subtract the numbers
Move the variable to the left
The WNBA champions have a twelve-player roster that includes two superstars. If a group of five starting players for this team must include the two superstars, how many different groups of five starting players are there?
Answer:
120 groups
Step-by-step explanation:
Total number of players = 12
Number of superstars = 2
To select a group of 5 players that MUST include the two superstars can be done in how many different ways?
Since the two superstars must always be in the 5 player team
Number of players left to choose = 5 - 2 = 3
Number of players from which selection is to be made = 12 - 2 = 10
Hence, the number of ways of choosing 3 players from 10 ; 10C3
Recall ;
nCr = n! / (n-r)!r!
10C3 = 10! ÷ (10-3)!3!
10C3 = 10! ÷ 7!3!
10C3 = (10*9*8) / (3*2*1)
10C3 = 720 / 6
10C3 = 120 groups
Determine the x -intercepts of the quadratic y = x 2 + 2 x − 15 by factoring.
Answer:
x-intercepts: x=3, -5
Step-by-step explanation:
y = x^2 + 2x − 15
y = x^2 + 5x - 3x − 15 ==> 5*(-3)=-15 and 5+(-3) = 5-3=2
y = x^2 + 5x - 3x − 15
y = x(x+5) - 3(x+5)
y = (x-3)(x+5)
x-3=0 ==> x=3
x+5=0 ==> x=-5
x-intercepts: x=3, -5
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6.9g divide by 7.2 3
Answer:
5/4g
Step-by-step explanation:
Professional chefs usually measure ingredients by weight
rather than by volume. A recipe calls for 2 ounces of
flour for every 3 ounces of sugar. If you are a chef and
you use 12 ounces of sugar, how many ounces of flour
should
you
use?
the smallest square number which can be divisible by 11 and 5
Answer:
3025
Step-by-step explanation:
let's look at it in this concept.
For a number to be divisible by 11 and 5. it must be a multiple of the LCM of 11 and 5.
LCM of 11 and 5=55
therefore the number is 55x, where x is a positive integer.
it is a said that the number is a perfect square
therefore the square root of 55x must be an integer.
\( \sqrt{55x} = \sqrt{5 \times 11 \times x} \)
the smallest value of x to make 55x a perfect square is....
\(x = 11 \times 5 = 55\)
Therefore the number is.... .
\(55x = 55(55) = 3025\)
sweet right
BRAINLIEST PLS....I need help just solve for x pleasee
Answer: x=9
Step-by-step explanation:
Rent expense in Volusia Company's 2014 income statement is $420,000. If Prepaid Rent was $70,000 at December 31, 2013, and is $95,000 at December 31, 2014, the cash paid for rent during 2014 is:A. $480,000B. $445,000C. $395,000D. $420,000
As per the mentioned informations, the cash paid for rent during 2014 is calculated to be $395,000. So, the correct answer is option (C) i.e. $395,000.
To calculate the cash paid for rent during 2014, we need to use the information given in the problem and apply the following formula:
Cash paid for rent = Rent expense + Prepaid rent at the beginning of the period - Prepaid rent at the end of the period
Substituting the values given in the problem, we get:
Cash paid for rent = $420,000 + $70,000 - $95,000
Cash paid for rent = $395,000
Therefore, it can be concluded that the correct answer is (C) $395,000.
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?????????????????????????????????????
Answer:
answer is mayonnaise duh
Which ones the right answer?
The answer is D. (7,8)
You are able to count from 0 to ten, and you always put the x number first!
Hope this helps :)
There is a probability of 0.61 that a person will enter a store with a creative window display. Suppose that a number of potential customers walk by. What is the probability that the fourth person will be the first customer to enter the store?
(b). Find the probability that the fourth person will be the first customer to enter the store. (Round your answer to three decimal places.)
To determine the probability that the fourth person will be the first customer to enter the store, we can use the geometric distribution.
The geometric distribution models the number of trials needed to achieve the first success (entering the store in this case) in a series of independent Bernoulli trials (each potential customer walking by). The probability of success in each trial is given as 0.61.
The probability that the fourth person will be the first customer to enter the store is equal to the probability of three consecutive failures (the first three people not entering the store) followed by a success (the fourth person entering the store).
The probability of failure in each trial is given by (1 - 0.61) = 0.39.
So, the probability that the fourth person will be the first customer to enter the store is calculated as follows:
P(fourth person is the first customer) = P(failure) * P(failure) * P(failure) * P(success)
= 0.39 * 0.39 * 0.39 * 0.61
≈ 0.0602
Therefore, the probability that the fourth person will be the first customer to enter the store is approximately 0.0602, or 6.02%.
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A computer salesman makes $10 per hour and 0.5% commission on what he sales. If he works for 40 hours this week, and he sales $4,500 of computers, how much will he make total?
Answer:
Total income earn = $422.5
Step-by-step explanation:
Given:
Earning per hour work = $10
Total hour = 40
Commission = 0.5% on sales
Total sales = $4,500
Find:
Total income earn
Computation:
Income from hour work = $10 x 40
Income from hour work = $400
Total commission = 0.5% x sales
Total commission = 0.5% x $4,500
Total commission = $22.5
Total income earn = $400 + $22.5
Total income earn = $422.5
MY LAST QUESTION PLEASE HELP
Given the special right triangle below, what is the value of the hypotenuse?
30°
60°
6
A
6
B
673
С
123
D
12
Answer:
12
Step-by-step explanation:
Since this is a right triangle, we can use trig functions
cos theta = adj / hyp
cos 60 = 6/hyp
hyp = 6 / cos 60
hyp = 6 / (1/2)
htp = 12
Write the slope-intercept form of the equation of each line given the slope and y-intercept.
Slope= -10/3, y- intercept=5
Answer:
y = -10/3x + 5
Step-by-step explanation:
Hi there!
We are given that a line has a slope of -10/3, and a y intercept of 5
We want to write the equation of this same line in slope-intercept form, which is y=mx+b, where m is the slope and b is the y intercept
As we are already given the slope and y intercept, we can simply substitute these values into the format for slope-intercept form to find the equation of the line!
Starting with the slope, substitute -10/3 as m in y=mx+b
y = -10/3x + b
Now for the y intercept, substitute 5 as b in the equation
y = -10/3x + 5
Hope this helps!
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what is the summation notation for 8+4+2+1+1/2
Answer:
15 1/2
Step-by-step explanation:
hope this helped
Compare the two linear functions
Identify the slope of the line given in the table: -3/2
Identify the slipe of the line given in the graph: 2/3
Which linear function has a negative slope? Table
Which linear function has the steeper slope? Table
Write the converse, inverse and contrapositive of the followingIf the triangle is equilateral, then the triangle is equiangular
this is the answer gimme brainliest
A scientist observes the bacteria’s growth. In the first observation, there were 12 bacteria, 24 in the second observation, 48 in the third and so on. How many bacteria will be there in the 8th observation? Use the explicit formula.
1,536
28
126
27
Answer:
Step-by-step explanation:96 in the fourth since they are adding the answer itself two times before you get the other like 12 bacteria and then 24 so that means 12 + 12 is 24 and the third one 48 so 24 +24 =48
fourth 48 + 48=96
fifth 96+96=192
sixth 192+192=384
seventh 384+384=768
last but not least 768+768 = 1536
so your answer is 1,536
frecuencia del alcohol
-5x+3y>9 help me plesese
Answer: x < 3/5 y + -9/5
Step-by-step explanation:
is provided below :)
-(-8.2w+10) Im confused about this problem can you help me
Reason:
The negative out front is distributed to each term inside the parenthesis.
This will flip the sign of each term.
The -8.2 flips to +8.2w which is the same as 8.2wThe +10 flips to -10For more information, search out "distributive property".
PLS HELP ME ON THIS QUESTION I WILL MARK YOU AS BRAINLIEST IF YOU KNOW THE ANSWER PLS GIVE ME A STEP BY STEP EXPLANATION!!
Answer:
(-5,2)
Step-by-step explanation:
Answer:
(5 , 2)
Step-by-step explanation:
F(-5 , 2)
After reflection F'(5 , 2)
The rule for reflection over y-axis is
Original point(x , y) : After reflection: (-x,y)
x-coordinate will change its sign and y-coordinate remains same
what is 1.35 rounded to the nearest whole ounce
what is 3.50 rounded to the nearest whole ounce
what is 3.81 rounded to the nearest whole ounce
what is 2.29 rounded to the nearest whole ounce
Answer:
1.35 is rounded to 1 because the .3 is not a .5 if it was 1.55 it would be 2
1
4
4
2
-6u > -42 u is greater than what?
simplify
-6u>-42
switch signs when dividing negative numbers
u<7
so, u is actually smaller than 7
Which of the following correctly lists the following equations in order from most steep to least steep?
Find the slope of the line y= -8/5x + 2
Step-by-step explanation:
Given
y = - 8 /5 x + 2
Comparing the given equation with y = mx + c
slope (m) = - 8/5
Hope it will help :)
Answer:
-8/5
Explanation:
The equation is written in slope-intercept form, aka y = mx + b, where m is the slope and b is the y-intercept.
In slope intercept, the slope is always the number that comes before x.
In the equation y = -8/5x + 2, that number is -8/5.
Hence, the answer is -8/5.
Calculate 95% confidence limits on m1 – m2 and d for the data in Exercise.ExerciseMuch has been made of the concept of experimenter bias, which refers to the fact that even the most conscientious experimenters tend to collect data that come out in the desired direction (they see what they want to see). Suppose we use students as experimenters. All the experimenters are told that subjects will be given caffeine before the experiment, but one-half of the experimenters are told that we expect caffeine to lead to good performance and one-half are told that we expect it to lead to poor performance. The dependent variable is the number of simple arithmetic problems the subjects can solve in 2 minutes. The data obtained are:Expectation good:19 15 22 13 18 15 20 25 22Expectation poor:14 18 17 12 21 21 24 14What can you conclude?
The 95% confidence interval for the difference in means is [-0.98, 10.98], which includes 0.
To calculate the 95% confidence limits on the difference between the means (m₁ - m₂) and the difference between the standard deviations (d), we can use the following formulas:
SE(m₁ - m₂) = √[(s₁²/n₁) + (s₂²/n₂)]
where s₁ and s₂ are the sample standard deviations, n₁ and n₂ are the sample sizes, and SE represents the standard error.
95% confidence interval for (m₁ - m₂) = (x₁ - x₂) ± (t(α/2) * SE(m₁ - m₂))
where x₁ and x₂ are the sample means, t(α/2) is the t-value for the appropriate degrees of freedom and alpha level, and SE(m₁ - m₂) is the standard error.
SE(d) = √[((n₁ - 1)s₁² + (n₂ - 1)s₂²)/(n₁ + n₂ - 2)] * √[1/n₁ + 1/n₂]
where s₁ and s₂ are the sample standard deviations, n₁ and n₂ are the sample sizes, and SE represents the standard error.
95% confidence interval for d = (s₁²/s₂²) * [(n₁ + n₂ - 2)/(n₁ - 1)] * F(α/2)
where F(α/2) is the F-value for the appropriate degrees of freedom and alpha level.
Using the given data, we have:
Expectation good: n₁ = 9, x₁ = 18, s₁ = 4.38
Expectation poor: n₂ = 8, x₂ = 17.125, s₂ = 4.373
SE(m₁ - m₂) = √[(s₁²/n₁) + (s₂²/n₂)] = √[(4.38²/9) + (4.373²/8)] = 1.913
Degrees of freedom = n₁ + n₂ - 2 = 15
t(α/2) = t(0.025) = 2.131
95% confidence interval for (m₁ - m₂) = (18 - 17.125) ± (2.131 * 1.913) = (0.546, 1.429)
SE(d) = √[((n₁ - 1)s₁² + (n₂ - 1)s₂²)/(n₁ + n₂ - 2)] * √[1/n₁ + 1/n₂] = √[((8)(4.373²) + (9)(4.38²))/(17)] * √[1/8 + 1/9] = 1.322
Degrees of freedom numerator = n₁ - 1 = 8
Degrees of freedom denominator = n₂ - 1 = 7
F(α/2) = F(0.025) = 4.256
95% confidence interval for d = (4.38²/4.373²) * [(9 + 8 - 2)/(8)] * 4.256 = (0.754, 3.880)
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If f(x) = x4 − x3 + x2 and g(x) = −x2, where x ≠ 0, what is (f ⁄g)(x)? m
Answer:x − x^{2} − 1.
Step-by-step explanation:
.
Use a calculator to find the approximate value of the expression Round the answer to two decimal places 4 sec 13 sec 4 13 1.8 (Round to two decimal places as needed)
The approximate value of the expression sec 4π / 13 is 1.76
Radian is a unit of measurement of angles equal to about 57.3° . equivalent to angle subtended at the center of a circle by a arc equal to length of radius
To Change Radian into degree, we multiple the angle with 180/π
The given Expression is
sec 4π / 13
Changing radian into Degree ,
=> 4π / 13 × 180 / π
=> 720 / 13
=> 55.38
Therefore , sec 55.38° is 1.7603
rounding off to two decimal places is 1.76
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Please Help 100 POINTS!!!
Answer:
B
Step-by-step explanation:
Answer:
B. \(\frac{x^2}{3^2} +\frac{y^3}{2^2} =1\)
Step-by-step explanation:
What is The Sum of the solutions of the two equations Below?
8x=12
2y+10=22
A. 2 2/5
B.7 1/2
C.9
D.10
E.17 1/2
Answer:
B. 7 1/2
Step-by-step explanation:
8x=12
x = 1.5
2y+10=22
2y = 12
y = 6
1.5 + 6 = 7.5
So, the sum of the solutions of the two equations is
B. 7 1/2
Answer:
Step-by-step explanation:
firstly we solve 8x=12 we divide both sides by 8 since 8 is the coefficient of x so we are trying to find x that is 8x divided by 8 which is x =12 divided by 8 which is 1.5 which means x=1.5 then we solve the second one 2y+10=22 we collect like terms which means 2y=22-10 as you should know the 10 changes to negative when crossed over to the other side so then 2y=12 is the answer then we divide both sides by the coefficient of y which is 2 so 2y divided by 2 =y 12 divided by 2 = 6 so y=6 then we add both of them together x=1.5+(y=6) so add 1.5 and 6 together answer is 7.5 or 7 1/2